Datasets:
manu
/
tok_dataset_1

Dataset card Viewer Files Community
1
Search is not available for this dataset
input_ids
sequencelengths
30
2.04k
attention_mask
sequencelengths
30
2.04k
labels
sequencelengths
30
2.04k
[ 1, 32000, 2935, 21800, 1393, 1110, 18676, 7667, 4974, 32001, 1424, 32000, 3592, 25740, 9425, 1207, 3492, 1104, 1313, 1440, 6092, 1257, 1424, 114, 154, 1824, 1342, 11978, 6291, 7311, 6271, 24051, 1170, 488, 124, 126, 2578, 488, 124, 132, 127, 127, 1188, 25167, 8589, 16497, 1299, 1189, 5598, 3657, 17779, 14231, 1489, 1510, 6887, 17252, 1793, 3056, 2065, 2035, 11463, 1230, 4289, 6212, 1496, 20312, 1342, 11978, 6291, 7311, 6271, 1299, 11041, 20653, 10216, 1167, 1110, 1913, 18640, 4637, 1125, 1561, 3734, 23082, 3701, 1207, 1192, 2266, 14282, 1346, 1170, 488, 131, 3201, 488, 125, 123, 123, 128, 121, 1653, 488, 125, 123, 123, 130, 119, 1527, 21180, 1207, 1173, 6212, 1167, 15458, 27542, 15863, 1338, 1434, 12001, 1357, 29698, 1170, 15211, 3175, 11463, 1230, 1186, 2822, 1125, 1158, 2076, 5910, 31070, 1436, 1342, 2851, 1594, 8263, 3657, 1110, 1913, 2072, 9820, 3701, 3747, 1317, 5545, 1125, 1158, 11166, 2660, 2487, 1527, 1110, 1913, 14698, 4610, 21860, 1125, 1158, 18409, 1197, 4972, 1390, 3685, 4195, 5587, 148, 2883, 116, 1167, 1125, 1158, 10185, 12900, 5277, 17877, 8415, 11978, 1200, 5224, 1576, 6660, 9425, 1199, 1227, 12135, 30591, 1125, 1158, 11166, 2660, 119, 6291, 7311, 6271, 21180, 1594, 23100, 1186, 488, 124, 132, 132, 125, 1167, 7354, 21179, 19824, 14698, 1125, 20774, 15211, 30591, 9320, 11493, 3672, 1309, 1440, 1921, 1994, 20045, 1207, 2714, 174, 1118, 1484, 1197, 17813, 2137, 1125, 4452, 1157, 7260, 1125, 8258, 9238, 8370, 4083, 1309, 17252, 13619, 20312, 1342, 11978, 6291, 7311, 6271, 1110, 1838, 2991, 1158, 5204, 30598, 2714, 1158, 1423, 177, 9236, 1768, 1110, 2445, 1913, 5328, 1197, 14139, 1313, 1170, 5987, 4148, 7613, 4988, 8155, 488, 125, 130, 3012, 488, 125, 123, 124, 124, 119, 1527, 1299, 9829, 1215, 1158, 30182, 172, 2172, 4444, 1119, 7348, 1256, 11183, 1125, 2680, 7602, 1286, 4819, 20198, 1167, 4679, 4476, 1313, 1170, 4154, 1125, 1158, 4351, 1125, 1158, 4509, 5956, 1125, 1158, 3734, 1197, 1192, 2266, 14282, 1104, 9994, 2624, 5825, 1194, 24201, 12997, 1186, 17779, 4713, 3400, 1313, 1158, 10660, 1125, 31361, 1134, 13881, 26626, 25339, 1227, 23841, 6298, 26626, 25339, 1227, 12136, 25525, 6298, 26626, 3657, 25339, 30919, 3531, 1197, 4444, 2339, 1125, 1158, 7732, 25339, 9745, 28668, 10216, 18640, 1186, 20375, 488, 125, 123, 123, 127, 120, 125, 123, 123, 132, 6444, 21467, 1197, 1192, 2266, 14282, 1104, 26626, 1227, 15211, 30591, 17779, 26626, 1227, 15211, 3175, 11463, 1230, 1175, 20270, 12537, 3400, 1186, 2578, 488, 124, 132, 127, 127, 9745, 28668, 1125, 1158, 2404, 197, 3555, 8447, 1861, 1125, 1158, 7732, 25339, 1628, 1538, 1793, 1125, 1158, 5582, 1493, 3555, 8447, 1861, 1125, 1158, 7732, 25339, 1628, 1538, 1793, 1125, 1158, 1179, 2111, 197, 3555, 8447, 1861, 1125, 1158, 7732, 25339, 114, 32001, 1424, 32000, 20036, 24623, 154, 1824, 1342, 11978, 6291, 7311, 6271, 24051, 1170, 488, 124, 126, 2578, 488, 124, 132, 127, 127, 1188, 25167, 8589, 16497, 1299, 1189, 5598, 3657, 17779, 14231, 1489, 1510, 6887, 17252, 1793, 3056, 2065, 2035, 11463, 1230, 4289, 6212, 1496, 20312, 1342, 11978, 6291, 7311, 6271, 1299, 11041, 20653, 10216, 1167, 1110, 1913, 18640, 4637, 1125, 1561, 3734, 23082, 3701, 1207, 1192, 2266, 14282, 1346, 1170, 488, 131, 3201, 488, 125, 123, 123, 128, 121, 1653, 488, 125, 123, 123, 130, 119, 1527, 21180, 1207, 1173, 6212, 1167, 15458, 27542, 15863, 1338, 1434, 12001, 1357, 29698, 1170, 15211, 3175, 11463, 1230, 1186, 2822, 1125, 1158, 2076, 5910, 31070, 1436, 1342, 2851, 1594, 8263, 3657, 1110, 1913, 2072, 9820, 3701, 3747, 1317, 5545, 1125, 1158, 11166, 2660, 2487, 1527, 1110, 1913, 14698, 4610, 21860, 1125, 1158, 18409, 1197, 4972, 1390, 3685, 4195, 5587, 148, 2883, 116, 1167, 1125, 1158, 10185, 12900, 5277, 17877, 8415, 11978, 1200, 5224, 1576, 6660, 9425, 1199, 1227, 12135, 30591, 1125, 1158, 11166, 2660, 119, 6291, 7311, 6271, 21180, 1594, 23100, 1186, 488, 124, 132, 132, 125, 1167, 7354, 21179, 19824, 14698, 1125, 20774, 15211, 30591, 9320, 11493, 3672, 1309, 1440, 1921, 1994, 20045, 1207, 2714, 174, 1118, 1484, 1197, 17813, 2137, 1125, 4452, 1157, 7260, 1125, 8258, 9238, 8370, 4083, 1309, 17252, 13619, 20312, 1342, 11978, 6291, 7311, 6271, 1110, 1838, 2991, 1158, 5204, 30598, 2714, 1158, 1423, 177, 9236, 1768, 1110, 2445, 1913, 5328, 1197, 14139, 1313, 1170, 5987, 4148, 7613, 4988, 8155, 488, 125, 130, 3012, 488, 125, 123, 124, 124, 119, 1527, 1299, 9829, 1215, 1158, 30182, 172, 2172, 4444, 1119, 7348, 1256, 11183, 1125, 2680, 7602, 1286, 4819, 20198, 1167, 4679, 4476, 1313, 1170, 4154, 1125, 1158, 4351, 1125, 1158, 4509, 5956, 1125, 1158, 3734, 1197, 1192, 2266, 14282, 1104, 9994, 2624, 5825, 1194, 24201, 12997, 1186, 17779, 4713, 3400, 1313, 1158, 10660, 1125, 31361, 1134, 13881, 26626, 25339, 1227, 23841, 6298, 26626, 25339, 1227, 12136, 25525, 6298, 26626, 3657, 25339, 30919, 3531, 1197, 4444, 2339, 1125, 1158, 7732, 25339, 9745, 28668, 10216, 18640, 1186, 20375, 488, 125, 123, 123, 127, 120, 125, 123, 123, 132, 6444, 21467, 1197, 1192, 2266, 14282, 1104, 26626, 1227, 15211, 30591, 17779, 26626, 1227, 15211, 3175, 11463, 1230, 1175, 20270, 12537, 3400, 1186, 2578, 488, 124, 132, 127, 127, 9745, 28668, 1125, 1158, 2404, 197, 3555, 8447, 1861, 1125, 1158, 7732, 25339, 1628, 1538, 1793, 1125, 1158, 5582, 1493, 3555, 8447, 1861, 1125, 1158, 7732, 25339, 1628, 1538, 1793, 1125, 1158, 1179, 2111, 197, 3555, 8447, 1861, 1125, 1158, 7732, 25339, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 154, 1824, 1342, 11978, 6291, 7311, 6271, 24051, 1170, 488, 124, 126, 2578, 488, 124, 132, 127, 127, 1188, 25167, 8589, 16497, 1299, 1189, 5598, 3657, 17779, 14231, 1489, 1510, 6887, 17252, 1793, 3056, 2065, 2035, 11463, 1230, 4289, 6212, 1496, 20312, 1342, 11978, 6291, 7311, 6271, 1299, 11041, 20653, 10216, 1167, 1110, 1913, 18640, 4637, 1125, 1561, 3734, 23082, 3701, 1207, 1192, 2266, 14282, 1346, 1170, 488, 131, 3201, 488, 125, 123, 123, 128, 121, 1653, 488, 125, 123, 123, 130, 119, 1527, 21180, 1207, 1173, 6212, 1167, 15458, 27542, 15863, 1338, 1434, 12001, 1357, 29698, 1170, 15211, 3175, 11463, 1230, 1186, 2822, 1125, 1158, 2076, 5910, 31070, 1436, 1342, 2851, 1594, 8263, 3657, 1110, 1913, 2072, 9820, 3701, 3747, 1317, 5545, 1125, 1158, 11166, 2660, 2487, 1527, 1110, 1913, 14698, 4610, 21860, 1125, 1158, 18409, 1197, 4972, 1390, 3685, 4195, 5587, 148, 2883, 116, 1167, 1125, 1158, 10185, 12900, 5277, 17877, 8415, 11978, 1200, 5224, 1576, 6660, 9425, 1199, 1227, 12135, 30591, 1125, 1158, 11166, 2660, 119, 6291, 7311, 6271, 21180, 1594, 23100, 1186, 488, 124, 132, 132, 125, 1167, 7354, 21179, 19824, 14698, 1125, 20774, 15211, 30591, 9320, 11493, 3672, 1309, 1440, 1921, 1994, 20045, 1207, 2714, 174, 1118, 1484, 1197, 17813, 2137, 1125, 4452, 1157, 7260, 1125, 8258, 9238, 8370, 4083, 1309, 17252, 13619, 20312, 1342, 11978, 6291, 7311, 6271, 1110, 1838, 2991, 1158, 5204, 30598, 2714, 1158, 1423, 177, 9236, 1768, 1110, 2445, 1913, 5328, 1197, 14139, 1313, 1170, 5987, 4148, 7613, 4988, 8155, 488, 125, 130, 3012, 488, 125, 123, 124, 124, 119, 1527, 1299, 9829, 1215, 1158, 30182, 172, 2172, 4444, 1119, 7348, 1256, 11183, 1125, 2680, 7602, 1286, 4819, 20198, 1167, 4679, 4476, 1313, 1170, 4154, 1125, 1158, 4351, 1125, 1158, 4509, 5956, 1125, 1158, 3734, 1197, 1192, 2266, 14282, 1104, 9994, 2624, 5825, 1194, 24201, 12997, 1186, 17779, 4713, 3400, 1313, 1158, 10660, 1125, 31361, 1134, 13881, 26626, 25339, 1227, 23841, 6298, 26626, 25339, 1227, 12136, 25525, 6298, 26626, 3657, 25339, 30919, 3531, 1197, 4444, 2339, 1125, 1158, 7732, 25339, 9745, 28668, 10216, 18640, 1186, 20375, 488, 125, 123, 123, 127, 120, 125, 123, 123, 132, 6444, 21467, 1197, 1192, 2266, 14282, 1104, 26626, 1227, 15211, 30591, 17779, 26626, 1227, 15211, 3175, 11463, 1230, 1175, 20270, 12537, 3400, 1186, 2578, 488, 124, 132, 127, 127, 9745, 28668, 1125, 1158, 2404, 197, 3555, 8447, 1861, 1125, 1158, 7732, 25339, 1628, 1538, 1793, 1125, 1158, 5582, 1493, 3555, 8447, 1861, 1125, 1158, 7732, 25339, 1628, 1538, 1793, 1125, 1158, 1179, 2111, 197, 3555, 8447, 1861, 1125, 1158, 7732, 25339, 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, 12928, 2469, 1214, 28439, 24990, 14232, 1170, 488, 130, 2829, 488, 124, 132, 130, 127, 1188, 13361, 10708, 1299, 1318, 6513, 6562, 1109, 1374, 2729, 4780, 1158, 12228, 1230, 1227, 3694, 21153, 21795, 1161, 1410, 9574, 20120, 1186, 488, 125, 123, 123, 132, 1388, 4499, 1162, 12928, 2469, 1214, 28439, 1258, 8295, 1318, 3968, 1125, 6513, 6562, 1109, 1374, 1188, 19543, 3985, 1943, 1261, 1188, 1645, 1596, 1126, 1210, 3378, 1189, 3285, 1304, 283, 185, 4058, 1188, 19543, 17046, 1774, 6522, 6604, 1109, 1108, 1188, 1165, 17395, 10645, 1318, 3968, 1125, 1441, 7213, 1188, 6522, 17610, 2322, 7997, 1249, 1188, 3261, 1839, 1104, 1167, 1318, 5910, 1125, 4309, 2651, 4615, 8377, 1188, 3970, 154, 31787, 1188, 4732, 2252, 14231, 21311, 1662, 1303, 1170, 488, 124, 125, 2798, 488, 125, 123, 123, 128, 1469, 1325, 1195, 1352, 1783, 1168, 1337, 2765, 2399, 1299, 22030, 1125, 29751, 1200, 2504, 10370, 184, 1659, 14232, 1170, 488, 128, 3201, 488, 125, 123, 124, 123, 121, 1643, 4446, 10743, 1286, 1188, 3686, 1593, 182, 1175, 12446, 2588, 1227, 6279, 173, 1199, 22368, 1265, 4023, 14502, 7886, 1188, 1158, 14022, 1424, 15539, 1110, 2595, 2357, 2757, 488, 125, 123, 124, 125, 119, 1170, 5059, 4236, 10964, 10001, 1867, 3140, 4849, 1108, 7445, 29739, 1214, 1300, 1352, 10135, 1167, 3547, 3672, 5999, 26940, 8732, 2388, 29595, 488, 125, 123, 124, 132, 119, 1571, 17206, 1227, 6513, 13471, 23296, 23811, 16216, 2620, 2399, 1299, 6248, 1125, 31395, 26412, 2855, 1292, 184, 17358, 29571, 1170, 14482, 1300, 1158, 19225, 27340, 11488, 1167, 16828, 5825, 2093, 1424, 25158, 1660, 1109, 1374, 20120, 8156, 1186, 2829, 488, 124, 132, 130, 127, 8156, 1188, 16241, 1317, 23841, 6298, 32001, 1424, 32000, 20036, 1628, 2469, 1214, 28439, 24990, 14232, 1170, 488, 130, 2829, 488, 124, 132, 130, 127, 1188, 13361, 10708, 1299, 1318, 6513, 6562, 1109, 1374, 2729, 4780, 1158, 12228, 1230, 1227, 3694, 21153, 21795, 1161, 1410, 9574, 20120, 1186, 488, 125, 123, 123, 132, 1388, 4499, 1162, 12928, 2469, 1214, 28439, 1258, 8295, 1318, 3968, 1125, 6513, 6562, 1109, 1374, 1188, 19543, 3985, 1943, 1261, 1188, 1645, 1596, 1126, 1210, 3378, 1189, 3285, 1304, 283, 185, 4058, 1188, 19543, 17046, 1774, 6522, 6604, 1109, 1108, 1188, 1165, 17395, 10645, 1318, 3968, 1125, 1441, 7213, 1188, 6522, 17610, 2322, 7997, 1249, 1188, 3261, 1839, 1104, 1167, 1318, 5910, 1125, 4309, 2651, 4615, 8377, 1188, 3970, 154, 31787, 1188, 4732, 2252, 14231, 21311, 1662, 1303, 1170, 488, 124, 125, 2798, 488, 125, 123, 123, 128, 1469, 1325, 1195, 1352, 1783, 1168, 1337, 2765, 2399, 1299, 22030, 1125, 29751, 1200, 2504, 10370, 184, 1659, 14232, 1170, 488, 128, 3201, 488, 125, 123, 124, 123, 121, 1643, 4446, 10743, 1286, 1188, 3686, 1593, 182, 1175, 12446, 2588, 1227, 6279, 173, 1199, 22368, 1265, 4023, 14502, 7886, 1188, 1158, 14022, 1424, 15539, 1110, 2595, 2357, 2757, 488, 125, 123, 124, 125, 119, 1170, 5059, 4236, 10964, 10001, 1867, 3140, 4849, 1108, 7445, 29739, 1214, 1300, 1352, 10135, 1167, 3547, 3672, 5999, 26940, 8732, 2388, 29595, 488, 125, 123, 124, 132, 119, 1571, 17206, 1227, 6513, 13471, 23296, 23811, 16216, 2620, 2399, 1299, 6248, 1125, 31395, 26412, 2855, 1292, 184, 17358, 29571, 1170, 14482, 1300, 1158, 19225, 27340, 11488, 1167, 16828, 5825, 2093, 1424, 25158, 1660, 1109, 1374, 20120, 8156, 1186, 2829, 488, 124, 132, 130, 127, 8156, 1188, 16241, 1317, 23841, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 2469, 1214, 28439, 24990, 14232, 1170, 488, 130, 2829, 488, 124, 132, 130, 127, 1188, 13361, 10708, 1299, 1318, 6513, 6562, 1109, 1374, 2729, 4780, 1158, 12228, 1230, 1227, 3694, 21153, 21795, 1161, 1410, 9574, 20120, 1186, 488, 125, 123, 123, 132, 1388, 4499, 1162, 12928, 2469, 1214, 28439, 1258, 8295, 1318, 3968, 1125, 6513, 6562, 1109, 1374, 1188, 19543, 3985, 1943, 1261, 1188, 1645, 1596, 1126, 1210, 3378, 1189, 3285, 1304, 283, 185, 4058, 1188, 19543, 17046, 1774, 6522, 6604, 1109, 1108, 1188, 1165, 17395, 10645, 1318, 3968, 1125, 1441, 7213, 1188, 6522, 17610, 2322, 7997, 1249, 1188, 3261, 1839, 1104, 1167, 1318, 5910, 1125, 4309, 2651, 4615, 8377, 1188, 3970, 154, 31787, 1188, 4732, 2252, 14231, 21311, 1662, 1303, 1170, 488, 124, 125, 2798, 488, 125, 123, 123, 128, 1469, 1325, 1195, 1352, 1783, 1168, 1337, 2765, 2399, 1299, 22030, 1125, 29751, 1200, 2504, 10370, 184, 1659, 14232, 1170, 488, 128, 3201, 488, 125, 123, 124, 123, 121, 1643, 4446, 10743, 1286, 1188, 3686, 1593, 182, 1175, 12446, 2588, 1227, 6279, 173, 1199, 22368, 1265, 4023, 14502, 7886, 1188, 1158, 14022, 1424, 15539, 1110, 2595, 2357, 2757, 488, 125, 123, 124, 125, 119, 1170, 5059, 4236, 10964, 10001, 1867, 3140, 4849, 1108, 7445, 29739, 1214, 1300, 1352, 10135, 1167, 3547, 3672, 5999, 26940, 8732, 2388, 29595, 488, 125, 123, 124, 132, 119, 1571, 17206, 1227, 6513, 13471, 23296, 23811, 16216, 2620, 2399, 1299, 6248, 1125, 31395, 26412, 2855, 1292, 184, 17358, 29571, 1170, 14482, 1300, 1158, 19225, 27340, 11488, 1167, 16828, 5825, 2093, 1424, 25158, 1660, 1109, 1374, 20120, 8156, 1186, 2829, 488, 124, 132, 130, 127, 8156, 1188, 16241, 1317, 23841, 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, 1424, 2029, 1113, 3513, 196, 1299, 1189, 2262, 1125, 1676, 244, 15163, 9612, 1188, 1158, 1138, 9312, 1125, 1539, 1104, 2852, 2187, 121, 15969, 192, 1227, 4764, 1125, 1873, 23243, 19366, 119, 1527, 1299, 5162, 1256, 1170, 5192, 1125, 1131, 2360, 1167, 1282, 1180, 10575, 1146, 2748, 1197, 4092, 488, 124, 131, 127, 123, 7328, 1158, 3453, 13624, 1227, 23841, 6298, 29227, 10791, 1113, 3513, 196, 1299, 1318, 1676, 244, 15163, 11779, 1250, 2010, 28625, 3895, 1460, 116, 1469, 1189, 19960, 1374, 23964, 1300, 1207, 8411, 2184, 1345, 3115, 1228, 1201, 1576, 1808, 11325, 1634, 1508, 31455, 1167, 2123, 1109, 4413, 1643, 29098, 1299, 2385, 3909, 2009, 1469, 1318, 1736, 1244, 1253, 4137, 1303, 1186, 16883, 109, 1281, 5503, 1199, 1215, 1189, 5188, 1327, 3502, 1814, 11373, 6564, 1227, 1113, 3513, 196, 1299, 1158, 13391, 22011, 1186, 6505, 1167, 1708, 5650, 2487, 21839, 1299, 18596, 1277, 10177, 15376, 1167, 23580, 10791, 1874, 2074, 22733, 3144, 1125, 1158, 3734, 1125, 1202, 3513, 2303, 5819, 1313, 1170, 21836, 1304, 3742, 1437, 1480, 119, 1186, 11916, 2620, 2585, 1170, 3195, 1110, 1913, 15519, 1313, 1207, 4092, 488, 124, 131, 127, 123, 1167, 488, 124, 131, 128, 123, 121, 1548, 1113, 3513, 1762, 1856, 1170, 3115, 4599, 1125, 8411, 2184, 8796, 1110, 12242, 244, 1188, 3862, 1125, 1158, 1676, 244, 15163, 19366, 121, 6218, 7774, 9631, 3031, 1125, 1809, 12402, 1227, 1131, 2360, 119, 3747, 1197, 5452, 12854, 14856, 1470, 12830, 1768, 3031, 10580, 1125, 29763, 1186, 4592, 1167, 3031, 1945, 2357, 1215, 8675, 1256, 30759, 1107, 1197, 1151, 26904, 1188, 8411, 2184, 1345, 2757, 1207, 1233, 2719, 1506, 1457, 1768, 1110, 2445, 1913, 5162, 3672, 1189, 4093, 2658, 1256, 1170, 13885, 8896, 1197, 15595, 249, 15354, 1723, 1594, 8004, 1199, 11739, 14925, 1221, 1167, 1594, 23565, 3283, 1256, 1170, 1618, 4281, 5824, 2004, 13686, 1188, 1594, 17647, 1215, 1170, 2222, 1315, 196, 2596, 1808, 8176, 1113, 3513, 1429, 2004, 1913, 6304, 5193, 1313, 1207, 4092, 488, 124, 131, 131, 123, 119, 1167, 9689, 1227, 2262, 8135, 1253, 1148, 6544, 1313, 1158, 3453, 13624, 1227, 23841, 6298, 1388, 8044, 1291, 1460, 1424, 4298, 1338, 1291, 3725, 1170, 21153, 10016, 12906, 1110, 1913, 27537, 1125, 488, 124, 132, 131, 128, 1188, 488, 124, 132, 131, 129, 1167, 4216, 1125, 14515, 1125, 7624, 1125, 5971, 2164, 3604, 2009, 1256, 1158, 24969, 7022, 5671, 190, 12455, 11488, 1167, 20117, 20544, 11052, 1424, 8411, 2184, 1345, 1165, 1333, 1228, 20611, 1198, 16985, 1125, 20901, 1125, 1158, 1138, 9312, 1125, 1539, 1104, 2852, 2187, 1257, 8755, 1461, 31557, 119, 1233, 5919, 196, 1965, 6302, 1526, 186, 1965, 2018, 21153, 10016, 2621, 1194, 2332, 1125, 20901, 1188, 2069, 11325, 1634, 1194, 2332, 1125, 1873, 23243, 19804, 1125, 27334, 1541, 19804, 1125, 20901, 1125, 5192, 19804, 1125, 27334, 1541, 1125, 12618, 19804, 1125, 27334, 1541, 28741, 2073, 27780, 4010, 21266, 2056, 13974, 1125, 1158, 1138, 9312, 1125, 1539, 1104, 2852, 2187, 32001, 1424, 32000, 20036, 5194, 1113, 3513, 196, 1299, 1189, 2262, 1125, 1676, 244, 15163, 9612, 1188, 1158, 1138, 9312, 1125, 1539, 1104, 2852, 2187, 121, 15969, 192, 1227, 4764, 1125, 1873, 23243, 19366, 119, 1527, 1299, 5162, 1256, 1170, 5192, 1125, 1131, 2360, 1167, 1282, 1180, 10575, 1146, 2748, 1197, 4092, 488, 124, 131, 127, 123, 7328, 1158, 3453, 13624, 1227, 23841, 6298, 29227, 10791, 1113, 3513, 196, 1299, 1318, 1676, 244, 15163, 11779, 1250, 2010, 28625, 3895, 1460, 116, 1469, 1189, 19960, 1374, 23964, 1300, 1207, 8411, 2184, 1345, 3115, 1228, 1201, 1576, 1808, 11325, 1634, 1508, 31455, 1167, 2123, 1109, 4413, 1643, 29098, 1299, 2385, 3909, 2009, 1469, 1318, 1736, 1244, 1253, 4137, 1303, 1186, 16883, 109, 1281, 5503, 1199, 1215, 1189, 5188, 1327, 3502, 1814, 11373, 6564, 1227, 1113, 3513, 196, 1299, 1158, 13391, 22011, 1186, 6505, 1167, 1708, 5650, 2487, 21839, 1299, 18596, 1277, 10177, 15376, 1167, 23580, 10791, 1874, 2074, 22733, 3144, 1125, 1158, 3734, 1125, 1202, 3513, 2303, 5819, 1313, 1170, 21836, 1304, 3742, 1437, 1480, 119, 1186, 11916, 2620, 2585, 1170, 3195, 1110, 1913, 15519, 1313, 1207, 4092, 488, 124, 131, 127, 123, 1167, 488, 124, 131, 128, 123, 121, 1548, 1113, 3513, 1762, 1856, 1170, 3115, 4599, 1125, 8411, 2184, 8796, 1110, 12242, 244, 1188, 3862, 1125, 1158, 1676, 244, 15163, 19366, 121, 6218, 7774, 9631, 3031, 1125, 1809, 12402, 1227, 1131, 2360, 119, 3747, 1197, 5452, 12854, 14856, 1470, 12830, 1768, 3031, 10580, 1125, 29763, 1186, 4592, 1167, 3031, 1945, 2357, 1215, 8675, 1256, 30759, 1107, 1197, 1151, 26904, 1188, 8411, 2184, 1345, 2757, 1207, 1233, 2719, 1506, 1457, 1768, 1110, 2445, 1913, 5162, 3672, 1189, 4093, 2658, 1256, 1170, 13885, 8896, 1197, 15595, 249, 15354, 1723, 1594, 8004, 1199, 11739, 14925, 1221, 1167, 1594, 23565, 3283, 1256, 1170, 1618, 4281, 5824, 2004, 13686, 1188, 1594, 17647, 1215, 1170, 2222, 1315, 196, 2596, 1808, 8176, 1113, 3513, 1429, 2004, 1913, 6304, 5193, 1313, 1207, 4092, 488, 124, 131, 131, 123, 119, 1167, 9689, 1227, 2262, 8135, 1253, 1148, 6544, 1313, 1158, 3453, 13624, 1227, 23841, 6298, 1388, 8044, 1291, 1460, 1424, 4298, 1338, 1291, 3725, 1170, 21153, 10016, 12906, 1110, 1913, 27537, 1125, 488, 124, 132, 131, 128, 1188, 488, 124, 132, 131, 129, 1167, 4216, 1125, 14515, 1125, 7624, 1125, 5971, 2164, 3604, 2009, 1256, 1158, 24969, 7022, 5671, 190, 12455, 11488, 1167, 20117, 20544, 11052, 1424, 8411, 2184, 1345, 1165, 1333, 1228, 20611, 1198, 16985, 1125, 20901, 1125, 1158, 1138, 9312, 1125, 1539, 1104, 2852, 2187, 1257, 8755, 1461, 31557, 119, 1233, 5919, 196, 1965, 6302, 1526, 186, 1965, 2018, 21153, 10016, 2621, 1194, 2332, 1125, 20901, 1188, 2069, 11325, 1634, 1194, 2332, 1125, 1873, 23243, 19804, 1125, 27334, 1541, 19804, 1125, 20901, 1125, 5192, 19804, 1125, 27334, 1541, 1125, 12618, 19804, 1125, 27334, 1541, 28741, 2073, 27780, 4010, 21266, 2056, 13974, 1125, 1158, 1138, 9312, 1125, 1539, 1104, 2852, 2187, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1113, 3513, 196, 1299, 1189, 2262, 1125, 1676, 244, 15163, 9612, 1188, 1158, 1138, 9312, 1125, 1539, 1104, 2852, 2187, 121, 15969, 192, 1227, 4764, 1125, 1873, 23243, 19366, 119, 1527, 1299, 5162, 1256, 1170, 5192, 1125, 1131, 2360, 1167, 1282, 1180, 10575, 1146, 2748, 1197, 4092, 488, 124, 131, 127, 123, 7328, 1158, 3453, 13624, 1227, 23841, 6298, 29227, 10791, 1113, 3513, 196, 1299, 1318, 1676, 244, 15163, 11779, 1250, 2010, 28625, 3895, 1460, 116, 1469, 1189, 19960, 1374, 23964, 1300, 1207, 8411, 2184, 1345, 3115, 1228, 1201, 1576, 1808, 11325, 1634, 1508, 31455, 1167, 2123, 1109, 4413, 1643, 29098, 1299, 2385, 3909, 2009, 1469, 1318, 1736, 1244, 1253, 4137, 1303, 1186, 16883, 109, 1281, 5503, 1199, 1215, 1189, 5188, 1327, 3502, 1814, 11373, 6564, 1227, 1113, 3513, 196, 1299, 1158, 13391, 22011, 1186, 6505, 1167, 1708, 5650, 2487, 21839, 1299, 18596, 1277, 10177, 15376, 1167, 23580, 10791, 1874, 2074, 22733, 3144, 1125, 1158, 3734, 1125, 1202, 3513, 2303, 5819, 1313, 1170, 21836, 1304, 3742, 1437, 1480, 119, 1186, 11916, 2620, 2585, 1170, 3195, 1110, 1913, 15519, 1313, 1207, 4092, 488, 124, 131, 127, 123, 1167, 488, 124, 131, 128, 123, 121, 1548, 1113, 3513, 1762, 1856, 1170, 3115, 4599, 1125, 8411, 2184, 8796, 1110, 12242, 244, 1188, 3862, 1125, 1158, 1676, 244, 15163, 19366, 121, 6218, 7774, 9631, 3031, 1125, 1809, 12402, 1227, 1131, 2360, 119, 3747, 1197, 5452, 12854, 14856, 1470, 12830, 1768, 3031, 10580, 1125, 29763, 1186, 4592, 1167, 3031, 1945, 2357, 1215, 8675, 1256, 30759, 1107, 1197, 1151, 26904, 1188, 8411, 2184, 1345, 2757, 1207, 1233, 2719, 1506, 1457, 1768, 1110, 2445, 1913, 5162, 3672, 1189, 4093, 2658, 1256, 1170, 13885, 8896, 1197, 15595, 249, 15354, 1723, 1594, 8004, 1199, 11739, 14925, 1221, 1167, 1594, 23565, 3283, 1256, 1170, 1618, 4281, 5824, 2004, 13686, 1188, 1594, 17647, 1215, 1170, 2222, 1315, 196, 2596, 1808, 8176, 1113, 3513, 1429, 2004, 1913, 6304, 5193, 1313, 1207, 4092, 488, 124, 131, 131, 123, 119, 1167, 9689, 1227, 2262, 8135, 1253, 1148, 6544, 1313, 1158, 3453, 13624, 1227, 23841, 6298, 1388, 8044, 1291, 1460, 1424, 4298, 1338, 1291, 3725, 1170, 21153, 10016, 12906, 1110, 1913, 27537, 1125, 488, 124, 132, 131, 128, 1188, 488, 124, 132, 131, 129, 1167, 4216, 1125, 14515, 1125, 7624, 1125, 5971, 2164, 3604, 2009, 1256, 1158, 24969, 7022, 5671, 190, 12455, 11488, 1167, 20117, 20544, 11052, 1424, 8411, 2184, 1345, 1165, 1333, 1228, 20611, 1198, 16985, 1125, 20901, 1125, 1158, 1138, 9312, 1125, 1539, 1104, 2852, 2187, 1257, 8755, 1461, 31557, 119, 1233, 5919, 196, 1965, 6302, 1526, 186, 1965, 2018, 21153, 10016, 2621, 1194, 2332, 1125, 20901, 1188, 2069, 11325, 1634, 1194, 2332, 1125, 1873, 23243, 19804, 1125, 27334, 1541, 19804, 1125, 20901, 1125, 5192, 19804, 1125, 27334, 1541, 1125, 12618, 19804, 1125, 27334, 1541, 28741, 2073, 27780, 4010, 21266, 2056, 13974, 1125, 1158, 1138, 9312, 1125, 1539, 1104, 2852, 2187, 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, 144, 1839, 3333, 28708, 1435, 2605, 30590, 5941, 5537, 1175, 124, 131, 126, 131, 120, 124, 132, 123, 128, 116, 1299, 1189, 7813, 15357, 15173, 18922, 1313, 1158, 19006, 1125, 19574, 17104, 1388, 15779, 1123, 15357, 28565, 1234, 1262, 1197, 28565, 19992, 21937, 5012, 6963, 1125, 1198, 1203, 1126, 1167, 1125, 13033, 4542, 7813, 15357, 1197, 19574, 17104, 1125, 1158, 1173, 4889, 1167, 7813, 15357, 1186, 6513, 1227, 6973, 1167, 1227, 7307, 3840, 23444, 7655, 1527, 1299, 10502, 1125, 2575, 1707, 1167, 1125, 8521, 6820, 1207, 5031, 1125, 5159, 2071, 13432, 3718, 1167, 1125, 30215, 1197, 19574, 17104, 14231, 1252, 2312, 1125, 1282, 23821, 15357, 3699, 120, 7914, 1328, 5941, 5537, 1167, 1125, 7980, 12674, 24359, 1293, 28399, 3174, 1527, 1299, 5252, 1170, 488, 124, 132, 2921, 488, 124, 131, 126, 131, 1188, 18994, 6102, 244, 1215, 1594, 28391, 1527, 1299, 29139, 1125, 12547, 10070, 5277, 13052, 1197, 14948, 120, 8752, 1175, 17781, 5121, 488, 124, 131, 128, 131, 116, 1167, 1125, 8179, 2722, 1182, 1140, 12258, 9900, 1256, 1282, 22151, 1125, 26622, 1352, 3595, 4631, 1188, 3862, 1125, 488, 124, 131, 129, 129, 1317, 20732, 4371, 3781, 1197, 12594, 1167, 2959, 1117, 2996, 1653, 488, 124, 131, 130, 131, 119, 1527, 1299, 7813, 15357, 1227, 20052, 21092, 1374, 1125, 2315, 1167, 14698, 1227, 12033, 1197, 11941, 1104, 1227, 20052, 21092, 1374, 1125, 2315, 1388, 15779, 1123, 15357, 1227, 4617, 18497, 1238, 1170, 11083, 1313, 3171, 15036, 6929, 1550, 1717, 1257, 31322, 1836, 1197, 16963, 4059, 2312, 1175, 3029, 1450, 1197, 3032, 1541, 26258, 1634, 116, 1125, 488, 124, 131, 129, 125, 1188, 488, 124, 131, 130, 127, 119, 6711, 1125, 1158, 5204, 1197, 19574, 17104, 1186, 488, 124, 131, 130, 127, 119, 6711, 1227, 13490, 1197, 8325, 1221, 1989, 28565, 1234, 1925, 1188, 3862, 1125, 488, 124, 131, 130, 129, 119, 3747, 1856, 4086, 1121, 11682, 31322, 1836, 4610, 21860, 1186, 488, 124, 132, 123, 127, 27404, 3862, 1125, 488, 124, 131, 130, 132, 119, 1527, 27254, 2445, 3171, 17230, 1304, 23821, 15357, 28565, 1234, 1262, 1257, 6660, 1237, 7551, 5519, 193, 16460, 1186, 488, 124, 131, 130, 132, 119, 6660, 1237, 7551, 1125, 16049, 1186, 488, 124, 131, 131, 130, 119, 6660, 1237, 7551, 1125, 1198, 1203, 1126, 1167, 6660, 1237, 7551, 21937, 5012, 1220, 1186, 488, 124, 131, 131, 132, 27404, 3862, 1125, 488, 124, 131, 131, 132, 119, 1527, 1299, 1125, 1300, 31980, 19877, 7813, 15357, 1197, 19574, 17104, 1227, 5927, 1125, 1158, 1173, 4889, 1388, 15779, 1123, 15357, 1186, 6513, 1197, 21761, 1227, 6973, 1167, 1227, 7307, 3840, 23444, 1298, 1125, 488, 124, 131, 130, 128, 1188, 488, 124, 131, 131, 132, 121, 2502, 2435, 3233, 3747, 1207, 5031, 1125, 19006, 1197, 1280, 1319, 1150, 8761, 1125, 22421, 9107, 1233, 14669, 1515, 1167, 5863, 7655, 4428, 7863, 1125, 3837, 1125, 3281, 4379, 2082, 4497, 1141, 3840, 23444, 1298, 1496, 1207, 2231, 183, 2410, 1125, 1200, 1292, 2563, 3281, 4379, 2082, 4497, 1141, 3840, 23444, 1298, 1496, 1192, 1229, 8021, 13944, 4101, 196, 1285, 1233, 2348, 23678, 1148, 5445, 1383, 18284, 1266, 1104, 1328, 22536, 161, 15280, 24962, 30590, 5941, 5537, 14658, 2732, 4399, 5031, 1188, 6721, 15090, 1362, 2743, 12116, 4414, 1768, 1299, 18480, 1197, 6314, 1227, 13337, 1125, 13598, 1201, 1398, 1140, 7933, 4386, 3441, 172, 9007, 4023, 152, 1662, 244, 1188, 1643, 1278, 26119, 21086, 1258, 1314, 3122, 185, 16639, 1768, 1299, 14786, 11125, 1317, 30228, 1125, 4304, 4540, 1373, 8509, 1267, 1109, 7683, 9915, 2961, 1125, 3453, 5971, 1188, 12547, 10070, 5277, 13052, 1197, 14948, 120, 8752, 9915, 2961, 16834, 1317, 14123, 1125, 488, 124, 131, 130, 126, 1256, 1197, 8787, 1300, 1282, 17792, 26640, 1188, 1198, 5186, 174, 1108, 9915, 2961, 24019, 1188, 1282, 1924, 4218, 5116, 1378, 1125, 488, 124, 131, 130, 131, 28756, 1374, 1125, 1158, 13097, 1231, 6111, 12132, 1215, 7918, 1227, 488, 126, 123, 2584, 488, 124, 131, 131, 132, 9915, 2961, 1125, 21683, 1125, 1282, 1924, 4218, 5116, 1378, 1125, 2801, 1125, 488, 124, 131, 131, 132, 11961, 24722, 24019, 1125, 1158, 7676, 13676, 1197, 11941, 1104, 1256, 8787, 23290, 1186, 488, 124, 131, 131, 132, 9323, 11934, 3249, 2605, 10070, 1197, 17950, 1346, 5294, 1403, 8648, 1197, 11941, 1104, 28565, 1234, 1925, 1227, 1859, 7216, 3028, 116, 3484, 147, 5128, 29749, 1197, 11128, 11941, 1104, 1125, 12052, 10070, 1197, 14948, 120, 8752, 1175, 124, 131, 123, 123, 120, 124, 132, 129, 131, 1496, 1186, 3028, 2605, 30590, 5941, 5537, 1313, 1170, 10253, 2908, 6995, 7216, 3028, 1496, 10610, 1125, 1158, 10587, 1167, 1125, 1158, 17318, 7364, 5825, 1194, 6618, 26622, 1345, 1194, 15779, 1123, 15357, 2720, 1227, 26851, 6298, 2605, 183, 4567, 1125, 12547, 10070, 5277, 13052, 1197, 14948, 120, 8752, 1317, 26851, 6298, 28756, 1374, 1125, 1158, 13097, 1231, 6111, 12132, 29232, 15357, 28565, 1234, 1262, 1266, 3400, 1186, 2921, 488, 124, 131, 126, 131, 1266, 3400, 1313, 20774, 488, 124, 123, 176, 28077, 1125, 2801, 6064, 1467, 1186, 2738, 488, 124, 132, 123, 128, 6064, 1467, 1313, 1170, 488, 130, 176, 28077, 1125, 2801, 6064, 1467, 1188, 488, 129, 129, 2165, 32001, 1424, 32000, 20036, 2586, 1839, 3333, 28708, 1435, 2605, 30590, 5941, 5537, 1175, 124, 131, 126, 131, 120, 124, 132, 123, 128, 116, 1299, 1189, 7813, 15357, 15173, 18922, 1313, 1158, 19006, 1125, 19574, 17104, 1388, 15779, 1123, 15357, 28565, 1234, 1262, 1197, 28565, 19992, 21937, 5012, 6963, 1125, 1198, 1203, 1126, 1167, 1125, 13033, 4542, 7813, 15357, 1197, 19574, 17104, 1125, 1158, 1173, 4889, 1167, 7813, 15357, 1186, 6513, 1227, 6973, 1167, 1227, 7307, 3840, 23444, 7655, 1527, 1299, 10502, 1125, 2575, 1707, 1167, 1125, 8521, 6820, 1207, 5031, 1125, 5159, 2071, 13432, 3718, 1167, 1125, 30215, 1197, 19574, 17104, 14231, 1252, 2312, 1125, 1282, 23821, 15357, 3699, 120, 7914, 1328, 5941, 5537, 1167, 1125, 7980, 12674, 24359, 1293, 28399, 3174, 1527, 1299, 5252, 1170, 488, 124, 132, 2921, 488, 124, 131, 126, 131, 1188, 18994, 6102, 244, 1215, 1594, 28391, 1527, 1299, 29139, 1125, 12547, 10070, 5277, 13052, 1197, 14948, 120, 8752, 1175, 17781, 5121, 488, 124, 131, 128, 131, 116, 1167, 1125, 8179, 2722, 1182, 1140, 12258, 9900, 1256, 1282, 22151, 1125, 26622, 1352, 3595, 4631, 1188, 3862, 1125, 488, 124, 131, 129, 129, 1317, 20732, 4371, 3781, 1197, 12594, 1167, 2959, 1117, 2996, 1653, 488, 124, 131, 130, 131, 119, 1527, 1299, 7813, 15357, 1227, 20052, 21092, 1374, 1125, 2315, 1167, 14698, 1227, 12033, 1197, 11941, 1104, 1227, 20052, 21092, 1374, 1125, 2315, 1388, 15779, 1123, 15357, 1227, 4617, 18497, 1238, 1170, 11083, 1313, 3171, 15036, 6929, 1550, 1717, 1257, 31322, 1836, 1197, 16963, 4059, 2312, 1175, 3029, 1450, 1197, 3032, 1541, 26258, 1634, 116, 1125, 488, 124, 131, 129, 125, 1188, 488, 124, 131, 130, 127, 119, 6711, 1125, 1158, 5204, 1197, 19574, 17104, 1186, 488, 124, 131, 130, 127, 119, 6711, 1227, 13490, 1197, 8325, 1221, 1989, 28565, 1234, 1925, 1188, 3862, 1125, 488, 124, 131, 130, 129, 119, 3747, 1856, 4086, 1121, 11682, 31322, 1836, 4610, 21860, 1186, 488, 124, 132, 123, 127, 27404, 3862, 1125, 488, 124, 131, 130, 132, 119, 1527, 27254, 2445, 3171, 17230, 1304, 23821, 15357, 28565, 1234, 1262, 1257, 6660, 1237, 7551, 5519, 193, 16460, 1186, 488, 124, 131, 130, 132, 119, 6660, 1237, 7551, 1125, 16049, 1186, 488, 124, 131, 131, 130, 119, 6660, 1237, 7551, 1125, 1198, 1203, 1126, 1167, 6660, 1237, 7551, 21937, 5012, 1220, 1186, 488, 124, 131, 131, 132, 27404, 3862, 1125, 488, 124, 131, 131, 132, 119, 1527, 1299, 1125, 1300, 31980, 19877, 7813, 15357, 1197, 19574, 17104, 1227, 5927, 1125, 1158, 1173, 4889, 1388, 15779, 1123, 15357, 1186, 6513, 1197, 21761, 1227, 6973, 1167, 1227, 7307, 3840, 23444, 1298, 1125, 488, 124, 131, 130, 128, 1188, 488, 124, 131, 131, 132, 121, 2502, 2435, 3233, 3747, 1207, 5031, 1125, 19006, 1197, 1280, 1319, 1150, 8761, 1125, 22421, 9107, 1233, 14669, 1515, 1167, 5863, 7655, 4428, 7863, 1125, 3837, 1125, 3281, 4379, 2082, 4497, 1141, 3840, 23444, 1298, 1496, 1207, 2231, 183, 2410, 1125, 1200, 1292, 2563, 3281, 4379, 2082, 4497, 1141, 3840, 23444, 1298, 1496, 1192, 1229, 8021, 13944, 4101, 196, 1285, 1233, 2348, 23678, 1148, 5445, 1383, 18284, 1266, 1104, 1328, 22536, 161, 15280, 24962, 30590, 5941, 5537, 14658, 2732, 4399, 5031, 1188, 6721, 15090, 1362, 2743, 12116, 4414, 1768, 1299, 18480, 1197, 6314, 1227, 13337, 1125, 13598, 1201, 1398, 1140, 7933, 4386, 3441, 172, 9007, 4023, 152, 1662, 244, 1188, 1643, 1278, 26119, 21086, 1258, 1314, 3122, 185, 16639, 1768, 1299, 14786, 11125, 1317, 30228, 1125, 4304, 4540, 1373, 8509, 1267, 1109, 7683, 9915, 2961, 1125, 3453, 5971, 1188, 12547, 10070, 5277, 13052, 1197, 14948, 120, 8752, 9915, 2961, 16834, 1317, 14123, 1125, 488, 124, 131, 130, 126, 1256, 1197, 8787, 1300, 1282, 17792, 26640, 1188, 1198, 5186, 174, 1108, 9915, 2961, 24019, 1188, 1282, 1924, 4218, 5116, 1378, 1125, 488, 124, 131, 130, 131, 28756, 1374, 1125, 1158, 13097, 1231, 6111, 12132, 1215, 7918, 1227, 488, 126, 123, 2584, 488, 124, 131, 131, 132, 9915, 2961, 1125, 21683, 1125, 1282, 1924, 4218, 5116, 1378, 1125, 2801, 1125, 488, 124, 131, 131, 132, 11961, 24722, 24019, 1125, 1158, 7676, 13676, 1197, 11941, 1104, 1256, 8787, 23290, 1186, 488, 124, 131, 131, 132, 9323, 11934, 3249, 2605, 10070, 1197, 17950, 1346, 5294, 1403, 8648, 1197, 11941, 1104, 28565, 1234, 1925, 1227, 1859, 7216, 3028, 116, 3484, 147, 5128, 29749, 1197, 11128, 11941, 1104, 1125, 12052, 10070, 1197, 14948, 120, 8752, 1175, 124, 131, 123, 123, 120, 124, 132, 129, 131, 1496, 1186, 3028, 2605, 30590, 5941, 5537, 1313, 1170, 10253, 2908, 6995, 7216, 3028, 1496, 10610, 1125, 1158, 10587, 1167, 1125, 1158, 17318, 7364, 5825, 1194, 6618, 26622, 1345, 1194, 15779, 1123, 15357, 2720, 1227, 26851, 6298, 2605, 183, 4567, 1125, 12547, 10070, 5277, 13052, 1197, 14948, 120, 8752, 1317, 26851, 6298, 28756, 1374, 1125, 1158, 13097, 1231, 6111, 12132, 29232, 15357, 28565, 1234, 1262, 1266, 3400, 1186, 2921, 488, 124, 131, 126, 131, 1266, 3400, 1313, 20774, 488, 124, 123, 176, 28077, 1125, 2801, 6064, 1467, 1186, 2738, 488, 124, 132, 123, 128, 6064, 1467, 1313, 1170, 488, 130, 176, 28077, 1125, 2801, 6064, 1467, 1188, 488, 129, 129, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1839, 3333, 28708, 1435, 2605, 30590, 5941, 5537, 1175, 124, 131, 126, 131, 120, 124, 132, 123, 128, 116, 1299, 1189, 7813, 15357, 15173, 18922, 1313, 1158, 19006, 1125, 19574, 17104, 1388, 15779, 1123, 15357, 28565, 1234, 1262, 1197, 28565, 19992, 21937, 5012, 6963, 1125, 1198, 1203, 1126, 1167, 1125, 13033, 4542, 7813, 15357, 1197, 19574, 17104, 1125, 1158, 1173, 4889, 1167, 7813, 15357, 1186, 6513, 1227, 6973, 1167, 1227, 7307, 3840, 23444, 7655, 1527, 1299, 10502, 1125, 2575, 1707, 1167, 1125, 8521, 6820, 1207, 5031, 1125, 5159, 2071, 13432, 3718, 1167, 1125, 30215, 1197, 19574, 17104, 14231, 1252, 2312, 1125, 1282, 23821, 15357, 3699, 120, 7914, 1328, 5941, 5537, 1167, 1125, 7980, 12674, 24359, 1293, 28399, 3174, 1527, 1299, 5252, 1170, 488, 124, 132, 2921, 488, 124, 131, 126, 131, 1188, 18994, 6102, 244, 1215, 1594, 28391, 1527, 1299, 29139, 1125, 12547, 10070, 5277, 13052, 1197, 14948, 120, 8752, 1175, 17781, 5121, 488, 124, 131, 128, 131, 116, 1167, 1125, 8179, 2722, 1182, 1140, 12258, 9900, 1256, 1282, 22151, 1125, 26622, 1352, 3595, 4631, 1188, 3862, 1125, 488, 124, 131, 129, 129, 1317, 20732, 4371, 3781, 1197, 12594, 1167, 2959, 1117, 2996, 1653, 488, 124, 131, 130, 131, 119, 1527, 1299, 7813, 15357, 1227, 20052, 21092, 1374, 1125, 2315, 1167, 14698, 1227, 12033, 1197, 11941, 1104, 1227, 20052, 21092, 1374, 1125, 2315, 1388, 15779, 1123, 15357, 1227, 4617, 18497, 1238, 1170, 11083, 1313, 3171, 15036, 6929, 1550, 1717, 1257, 31322, 1836, 1197, 16963, 4059, 2312, 1175, 3029, 1450, 1197, 3032, 1541, 26258, 1634, 116, 1125, 488, 124, 131, 129, 125, 1188, 488, 124, 131, 130, 127, 119, 6711, 1125, 1158, 5204, 1197, 19574, 17104, 1186, 488, 124, 131, 130, 127, 119, 6711, 1227, 13490, 1197, 8325, 1221, 1989, 28565, 1234, 1925, 1188, 3862, 1125, 488, 124, 131, 130, 129, 119, 3747, 1856, 4086, 1121, 11682, 31322, 1836, 4610, 21860, 1186, 488, 124, 132, 123, 127, 27404, 3862, 1125, 488, 124, 131, 130, 132, 119, 1527, 27254, 2445, 3171, 17230, 1304, 23821, 15357, 28565, 1234, 1262, 1257, 6660, 1237, 7551, 5519, 193, 16460, 1186, 488, 124, 131, 130, 132, 119, 6660, 1237, 7551, 1125, 16049, 1186, 488, 124, 131, 131, 130, 119, 6660, 1237, 7551, 1125, 1198, 1203, 1126, 1167, 6660, 1237, 7551, 21937, 5012, 1220, 1186, 488, 124, 131, 131, 132, 27404, 3862, 1125, 488, 124, 131, 131, 132, 119, 1527, 1299, 1125, 1300, 31980, 19877, 7813, 15357, 1197, 19574, 17104, 1227, 5927, 1125, 1158, 1173, 4889, 1388, 15779, 1123, 15357, 1186, 6513, 1197, 21761, 1227, 6973, 1167, 1227, 7307, 3840, 23444, 1298, 1125, 488, 124, 131, 130, 128, 1188, 488, 124, 131, 131, 132, 121, 2502, 2435, 3233, 3747, 1207, 5031, 1125, 19006, 1197, 1280, 1319, 1150, 8761, 1125, 22421, 9107, 1233, 14669, 1515, 1167, 5863, 7655, 4428, 7863, 1125, 3837, 1125, 3281, 4379, 2082, 4497, 1141, 3840, 23444, 1298, 1496, 1207, 2231, 183, 2410, 1125, 1200, 1292, 2563, 3281, 4379, 2082, 4497, 1141, 3840, 23444, 1298, 1496, 1192, 1229, 8021, 13944, 4101, 196, 1285, 1233, 2348, 23678, 1148, 5445, 1383, 18284, 1266, 1104, 1328, 22536, 161, 15280, 24962, 30590, 5941, 5537, 14658, 2732, 4399, 5031, 1188, 6721, 15090, 1362, 2743, 12116, 4414, 1768, 1299, 18480, 1197, 6314, 1227, 13337, 1125, 13598, 1201, 1398, 1140, 7933, 4386, 3441, 172, 9007, 4023, 152, 1662, 244, 1188, 1643, 1278, 26119, 21086, 1258, 1314, 3122, 185, 16639, 1768, 1299, 14786, 11125, 1317, 30228, 1125, 4304, 4540, 1373, 8509, 1267, 1109, 7683, 9915, 2961, 1125, 3453, 5971, 1188, 12547, 10070, 5277, 13052, 1197, 14948, 120, 8752, 9915, 2961, 16834, 1317, 14123, 1125, 488, 124, 131, 130, 126, 1256, 1197, 8787, 1300, 1282, 17792, 26640, 1188, 1198, 5186, 174, 1108, 9915, 2961, 24019, 1188, 1282, 1924, 4218, 5116, 1378, 1125, 488, 124, 131, 130, 131, 28756, 1374, 1125, 1158, 13097, 1231, 6111, 12132, 1215, 7918, 1227, 488, 126, 123, 2584, 488, 124, 131, 131, 132, 9915, 2961, 1125, 21683, 1125, 1282, 1924, 4218, 5116, 1378, 1125, 2801, 1125, 488, 124, 131, 131, 132, 11961, 24722, 24019, 1125, 1158, 7676, 13676, 1197, 11941, 1104, 1256, 8787, 23290, 1186, 488, 124, 131, 131, 132, 9323, 11934, 3249, 2605, 10070, 1197, 17950, 1346, 5294, 1403, 8648, 1197, 11941, 1104, 28565, 1234, 1925, 1227, 1859, 7216, 3028, 116, 3484, 147, 5128, 29749, 1197, 11128, 11941, 1104, 1125, 12052, 10070, 1197, 14948, 120, 8752, 1175, 124, 131, 123, 123, 120, 124, 132, 129, 131, 1496, 1186, 3028, 2605, 30590, 5941, 5537, 1313, 1170, 10253, 2908, 6995, 7216, 3028, 1496, 10610, 1125, 1158, 10587, 1167, 1125, 1158, 17318, 7364, 5825, 1194, 6618, 26622, 1345, 1194, 15779, 1123, 15357, 2720, 1227, 26851, 6298, 2605, 183, 4567, 1125, 12547, 10070, 5277, 13052, 1197, 14948, 120, 8752, 1317, 26851, 6298, 28756, 1374, 1125, 1158, 13097, 1231, 6111, 12132, 29232, 15357, 28565, 1234, 1262, 1266, 3400, 1186, 2921, 488, 124, 131, 126, 131, 1266, 3400, 1313, 20774, 488, 124, 123, 176, 28077, 1125, 2801, 6064, 1467, 1186, 2738, 488, 124, 132, 123, 128, 6064, 1467, 1313, 1170, 488, 130, 176, 28077, 1125, 2801, 6064, 1467, 1188, 488, 129, 129, 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, 11609, 5519, 9971, 1197, 19729, 24638, 488, 125, 123, 124, 124, 8135, 8866, 21619, 1186, 12094, 1227, 6455, 1227, 488, 124, 130, 3012, 1317, 488, 124, 1107, 2738, 121, 3450, 14759, 1188, 21839, 2782, 3601, 1186, 4839, 11136, 1227, 488, 124, 131, 2829, 1317, 488, 124, 1107, 3012, 1723, 1110, 1913, 3744, 1303, 1167, 13198, 1303, 1186, 5169, 1125, 1158, 4356, 3657, 12825, 488, 125, 7790, 1125, 3219, 3274, 1281, 5916, 1888, 1256, 1158, 11609, 1227, 2854, 1197, 2864, 1125, 488, 125, 123, 2165, 488, 125, 123, 124, 124, 8732, 1775, 10140, 1194, 5449, 1483, 1125, 6969, 31577, 2740, 1192, 31577, 2740, 1233, 1194, 5449, 4580, 1622, 2137, 13776, 1320, 8092, 1773, 2137, 24367, 2607, 3555, 2320, 1194, 16519, 1366, 24281, 1234, 30265, 1194, 29433, 4264, 1256, 1170, 26389, 1227, 2854, 24638, 18805, 5999, 10431, 1207, 1408, 2939, 2972, 1281, 1508, 5916, 14093, 1256, 1158, 11609, 1227, 2854, 1125, 7711, 1197, 2864, 1125, 488, 125, 123, 2165, 488, 125, 123, 124, 124, 9663, 22346, 1194, 127, 1663, 2523, 160, 1512, 1266, 1963, 2048, 1194, 126, 25460, 1489, 11873, 1266, 6095, 197, 4436, 1194, 125, 25460, 16213, 2268, 1350, 8428, 7348, 2586, 175, 8188, 5308, 1333, 1720, 2562, 5417, 9029, 9577, 24281, 1507, 11247, 4668, 1569, 11136, 6975, 3829, 172, 12511, 4430, 2930, 3052, 12580, 1108, 194, 4520, 192, 1518, 1242, 1451, 1194, 124, 1663, 18491, 14453, 1204, 173, 14828, 1530, 179, 9433, 2133, 178, 28483, 1720, 2562, 5417, 5308, 2194, 2056, 1219, 12874, 2677, 16158, 1232, 179, 6975, 194, 1344, 1539, 4436, 1489, 1123, 1206, 1326, 1548, 1258, 196, 1918, 13430, 1530, 4540, 172, 27559, 1128, 244, 12498, 1122, 2057, 10341, 1377, 1575, 2902, 11421, 179, 1195, 6660, 1390, 186, 1853, 29737, 8860, 2562, 1750, 1174, 1105, 1192, 2174, 2715, 9528, 1119, 4279, 21103, 26311, 1489, 2298, 1214, 28950, 1301, 1896, 13459, 2072, 1505, 6494, 5519, 9971, 1197, 19729, 24638, 5532, 1354, 16718, 12928, 1286, 9229, 12498, 6494, 5519, 9971, 1197, 19729, 1125, 7711, 1197, 2864, 1125, 488, 125, 123, 2165, 2105, 2836, 3891, 1186, 488, 125, 123, 124, 124, 25738, 1186, 12094, 1227, 6455, 1186, 488, 125, 123, 124, 124, 5526, 10248, 2500, 15601, 4578, 1186, 12094, 1227, 6455, 3198, 11619, 4538, 1125, 7711, 1186, 12094, 1227, 6455, 32001, 1424, 32000, 20036, 2895, 11609, 5519, 9971, 1197, 19729, 24638, 488, 125, 123, 124, 124, 8135, 8866, 21619, 1186, 12094, 1227, 6455, 1227, 488, 124, 130, 3012, 1317, 488, 124, 1107, 2738, 121, 3450, 14759, 1188, 21839, 2782, 3601, 1186, 4839, 11136, 1227, 488, 124, 131, 2829, 1317, 488, 124, 1107, 3012, 1723, 1110, 1913, 3744, 1303, 1167, 13198, 1303, 1186, 5169, 1125, 1158, 4356, 3657, 12825, 488, 125, 7790, 1125, 3219, 3274, 1281, 5916, 1888, 1256, 1158, 11609, 1227, 2854, 1197, 2864, 1125, 488, 125, 123, 2165, 488, 125, 123, 124, 124, 8732, 1775, 10140, 1194, 5449, 1483, 1125, 6969, 31577, 2740, 1192, 31577, 2740, 1233, 1194, 5449, 4580, 1622, 2137, 13776, 1320, 8092, 1773, 2137, 24367, 2607, 3555, 2320, 1194, 16519, 1366, 24281, 1234, 30265, 1194, 29433, 4264, 1256, 1170, 26389, 1227, 2854, 24638, 18805, 5999, 10431, 1207, 1408, 2939, 2972, 1281, 1508, 5916, 14093, 1256, 1158, 11609, 1227, 2854, 1125, 7711, 1197, 2864, 1125, 488, 125, 123, 2165, 488, 125, 123, 124, 124, 9663, 22346, 1194, 127, 1663, 2523, 160, 1512, 1266, 1963, 2048, 1194, 126, 25460, 1489, 11873, 1266, 6095, 197, 4436, 1194, 125, 25460, 16213, 2268, 1350, 8428, 7348, 2586, 175, 8188, 5308, 1333, 1720, 2562, 5417, 9029, 9577, 24281, 1507, 11247, 4668, 1569, 11136, 6975, 3829, 172, 12511, 4430, 2930, 3052, 12580, 1108, 194, 4520, 192, 1518, 1242, 1451, 1194, 124, 1663, 18491, 14453, 1204, 173, 14828, 1530, 179, 9433, 2133, 178, 28483, 1720, 2562, 5417, 5308, 2194, 2056, 1219, 12874, 2677, 16158, 1232, 179, 6975, 194, 1344, 1539, 4436, 1489, 1123, 1206, 1326, 1548, 1258, 196, 1918, 13430, 1530, 4540, 172, 27559, 1128, 244, 12498, 1122, 2057, 10341, 1377, 1575, 2902, 11421, 179, 1195, 6660, 1390, 186, 1853, 29737, 8860, 2562, 1750, 1174, 1105, 1192, 2174, 2715, 9528, 1119, 4279, 21103, 26311, 1489, 2298, 1214, 28950, 1301, 1896, 13459, 2072, 1505, 6494, 5519, 9971, 1197, 19729, 24638, 5532, 1354, 16718, 12928, 1286, 9229, 12498, 6494, 5519, 9971, 1197, 19729, 1125, 7711, 1197, 2864, 1125, 488, 125, 123, 2165, 2105, 2836, 3891, 1186, 488, 125, 123, 124, 124, 25738, 1186, 12094, 1227, 6455, 1186, 488, 125, 123, 124, 124, 5526, 10248, 2500, 15601, 4578, 1186, 12094, 1227, 6455, 3198, 11619, 4538, 1125, 7711, 1186, 12094, 1227, 6455, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 11609, 5519, 9971, 1197, 19729, 24638, 488, 125, 123, 124, 124, 8135, 8866, 21619, 1186, 12094, 1227, 6455, 1227, 488, 124, 130, 3012, 1317, 488, 124, 1107, 2738, 121, 3450, 14759, 1188, 21839, 2782, 3601, 1186, 4839, 11136, 1227, 488, 124, 131, 2829, 1317, 488, 124, 1107, 3012, 1723, 1110, 1913, 3744, 1303, 1167, 13198, 1303, 1186, 5169, 1125, 1158, 4356, 3657, 12825, 488, 125, 7790, 1125, 3219, 3274, 1281, 5916, 1888, 1256, 1158, 11609, 1227, 2854, 1197, 2864, 1125, 488, 125, 123, 2165, 488, 125, 123, 124, 124, 8732, 1775, 10140, 1194, 5449, 1483, 1125, 6969, 31577, 2740, 1192, 31577, 2740, 1233, 1194, 5449, 4580, 1622, 2137, 13776, 1320, 8092, 1773, 2137, 24367, 2607, 3555, 2320, 1194, 16519, 1366, 24281, 1234, 30265, 1194, 29433, 4264, 1256, 1170, 26389, 1227, 2854, 24638, 18805, 5999, 10431, 1207, 1408, 2939, 2972, 1281, 1508, 5916, 14093, 1256, 1158, 11609, 1227, 2854, 1125, 7711, 1197, 2864, 1125, 488, 125, 123, 2165, 488, 125, 123, 124, 124, 9663, 22346, 1194, 127, 1663, 2523, 160, 1512, 1266, 1963, 2048, 1194, 126, 25460, 1489, 11873, 1266, 6095, 197, 4436, 1194, 125, 25460, 16213, 2268, 1350, 8428, 7348, 2586, 175, 8188, 5308, 1333, 1720, 2562, 5417, 9029, 9577, 24281, 1507, 11247, 4668, 1569, 11136, 6975, 3829, 172, 12511, 4430, 2930, 3052, 12580, 1108, 194, 4520, 192, 1518, 1242, 1451, 1194, 124, 1663, 18491, 14453, 1204, 173, 14828, 1530, 179, 9433, 2133, 178, 28483, 1720, 2562, 5417, 5308, 2194, 2056, 1219, 12874, 2677, 16158, 1232, 179, 6975, 194, 1344, 1539, 4436, 1489, 1123, 1206, 1326, 1548, 1258, 196, 1918, 13430, 1530, 4540, 172, 27559, 1128, 244, 12498, 1122, 2057, 10341, 1377, 1575, 2902, 11421, 179, 1195, 6660, 1390, 186, 1853, 29737, 8860, 2562, 1750, 1174, 1105, 1192, 2174, 2715, 9528, 1119, 4279, 21103, 26311, 1489, 2298, 1214, 28950, 1301, 1896, 13459, 2072, 1505, 6494, 5519, 9971, 1197, 19729, 24638, 5532, 1354, 16718, 12928, 1286, 9229, 12498, 6494, 5519, 9971, 1197, 19729, 1125, 7711, 1197, 2864, 1125, 488, 125, 123, 2165, 2105, 2836, 3891, 1186, 488, 125, 123, 124, 124, 25738, 1186, 12094, 1227, 6455, 1186, 488, 125, 123, 124, 124, 5526, 10248, 2500, 15601, 4578, 1186, 12094, 1227, 6455, 3198, 11619, 4538, 1125, 7711, 1186, 12094, 1227, 6455, 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, 7831, 178, 1142, 1200, 1343, 16781, 28430, 1175, 124, 132, 124, 129, 1323, 488, 124, 132, 131, 126, 116, 3031, 1189, 13787, 1125, 1158, 30211, 8230, 5761, 1313, 1207, 4092, 488, 124, 132, 129, 123, 1167, 1299, 6113, 1197, 13427, 1568, 2518, 1227, 7042, 7993, 6726, 1197, 14847, 10360, 4698, 3625, 7761, 4023, 151, 1343, 1977, 3031, 2445, 9918, 1256, 1594, 6581, 244, 1125, 488, 124, 132, 131, 126, 1188, 1158, 1606, 18610, 10405, 1243, 190, 22279, 1162, 4821, 2616, 1158, 3453, 12999, 1527, 1110, 14268, 1440, 1309, 10276, 16240, 9318, 1170, 1606, 11002, 1200, 1343, 1977, 3133, 24137, 24697, 1410, 14937, 4193, 29850, 1161, 3318, 5757, 2772, 1259, 1406, 4338, 1109, 15303, 26108, 1842, 5440, 8032, 10418, 10644, 13132, 4495, 1147, 5370, 12145, 7531, 1161, 14940, 190, 1171, 1233, 8963, 9994, 1343, 1977, 1110, 15363, 1318, 12969, 1125, 21455, 1227, 28634, 1186, 488, 124, 132, 126, 132, 121, 1768, 1299, 22562, 1188, 30211, 1256, 1197, 8787, 19034, 1842, 9911, 10549, 121, 1768, 10923, 1245, 7581, 1170, 5773, 21495, 1132, 7041, 1186, 488, 124, 132, 127, 125, 119, 7354, 6711, 1125, 1158, 13309, 1161, 26068, 1285, 1318, 30357, 1125, 3370, 8905, 10641, 1300, 3203, 5305, 2130, 3419, 21608, 1309, 1158, 3370, 23169, 8155, 7042, 1125, 1200, 1343, 1977, 1125, 3657, 1125, 6847, 1197, 13099, 23536, 10791, 7042, 1125, 1200, 1343, 1977, 1299, 1189, 7042, 1357, 18041, 1439, 2327, 1318, 5625, 1275, 8900, 1561, 3657, 1125, 6847, 1197, 13099, 1274, 1457, 1643, 19408, 1299, 1309, 3219, 5625, 7353, 15991, 1189, 13099, 3706, 18891, 2227, 2851, 2076, 1995, 1207, 6282, 2519, 4927, 15762, 1288, 1508, 1382, 1188, 1158, 10240, 121, 2576, 179, 2124, 25374, 1299, 1309, 1207, 14244, 1392, 7139, 7085, 1318, 9470, 26415, 1227, 4041, 1197, 13099, 23536, 8155, 7042, 2690, 1309, 1207, 13099, 23536, 1508, 27853, 1186, 2321, 1125, 2069, 24875, 1297, 1548, 3151, 1299, 1158, 5219, 14785, 20167, 1197, 6550, 1346, 1318, 5219, 1408, 26659, 24454, 1197, 13099, 23536, 1408, 7513, 4413, 1643, 9640, 1299, 1158, 14856, 2334, 1348, 1197, 27094, 2040, 1186, 4864, 6326, 1346, 1318, 3385, 1915, 18996, 1909, 27094, 2130, 18996, 1909, 5858, 1420, 1125, 13099, 23536, 6952, 1440, 1309, 1207, 20088, 6903, 14826, 174, 1153, 6157, 11826, 172, 1188, 15991, 1189, 7200, 4041, 1125, 27094, 8155, 7042, 5332, 6349, 2069, 2925, 243, 15354, 1170, 17167, 1125, 6847, 22567, 1167, 1158, 12029, 1188, 5685, 1207, 13099, 23536, 2981, 1785, 1999, 4520, 1502, 1129, 1188, 1816, 22567, 8623, 488, 488, 2093, 12736, 2232, 488, 488, 1222, 2213, 1299, 1170, 13099, 3706, 1215, 3872, 1188, 30059, 1199, 1111, 106, 488, 488, 1222, 170, 3899, 120, 124, 116, 1299, 1170, 13099, 3706, 1215, 3872, 1188, 30059, 1199, 1111, 120, 124, 119, 16490, 1170, 13099, 3706, 1215, 3872, 1125, 9911, 24339, 106, 488, 488, 1110, 1299, 1158, 12029, 1304, 4520, 1153, 2209, 1362, 1170, 22101, 1304, 4520, 11275, 2121, 1469, 1110, 2407, 488, 123, 106, 488, 488, 1222, 117, 2213, 1299, 1170, 13099, 3706, 1215, 3872, 22567, 1188, 30059, 1199, 1111, 119, 1469, 1222, 117, 2213, 2407, 488, 123, 106, 488, 488, 1138, 1299, 1170, 17167, 1125, 6847, 22567, 1197, 27094, 1215, 3872, 8665, 1227, 4075, 2308, 2215, 120, 6156, 1215, 3872, 1496, 1469, 1138, 2407, 488, 123, 106, 488, 488, 1254, 2213, 1299, 1170, 19276, 1215, 3872, 8665, 4075, 2308, 2215, 120, 6156, 1215, 3872, 116, 1188, 30059, 1199, 1111, 29515, 5225, 5725, 1594, 7042, 1571, 5555, 8403, 1346, 4172, 1200, 1343, 1977, 1110, 23630, 1309, 1110, 3031, 1167, 1138, 3031, 1939, 2093, 20634, 1167, 5474, 2093, 224, 3300, 2038, 8403, 1227, 23841, 6298, 8156, 1186, 2749, 488, 124, 132, 124, 129, 9317, 1186, 2798, 488, 124, 132, 131, 126, 9317, 1188, 488, 129, 130, 8793, 32001, 1424, 32000, 20036, 2278, 3644, 7831, 178, 1142, 1200, 1343, 16781, 28430, 1175, 124, 132, 124, 129, 1323, 488, 124, 132, 131, 126, 116, 3031, 1189, 13787, 1125, 1158, 30211, 8230, 5761, 1313, 1207, 4092, 488, 124, 132, 129, 123, 1167, 1299, 6113, 1197, 13427, 1568, 2518, 1227, 7042, 7993, 6726, 1197, 14847, 10360, 4698, 3625, 7761, 4023, 151, 1343, 1977, 3031, 2445, 9918, 1256, 1594, 6581, 244, 1125, 488, 124, 132, 131, 126, 1188, 1158, 1606, 18610, 10405, 1243, 190, 22279, 1162, 4821, 2616, 1158, 3453, 12999, 1527, 1110, 14268, 1440, 1309, 10276, 16240, 9318, 1170, 1606, 11002, 1200, 1343, 1977, 3133, 24137, 24697, 1410, 14937, 4193, 29850, 1161, 3318, 5757, 2772, 1259, 1406, 4338, 1109, 15303, 26108, 1842, 5440, 8032, 10418, 10644, 13132, 4495, 1147, 5370, 12145, 7531, 1161, 14940, 190, 1171, 1233, 8963, 9994, 1343, 1977, 1110, 15363, 1318, 12969, 1125, 21455, 1227, 28634, 1186, 488, 124, 132, 126, 132, 121, 1768, 1299, 22562, 1188, 30211, 1256, 1197, 8787, 19034, 1842, 9911, 10549, 121, 1768, 10923, 1245, 7581, 1170, 5773, 21495, 1132, 7041, 1186, 488, 124, 132, 127, 125, 119, 7354, 6711, 1125, 1158, 13309, 1161, 26068, 1285, 1318, 30357, 1125, 3370, 8905, 10641, 1300, 3203, 5305, 2130, 3419, 21608, 1309, 1158, 3370, 23169, 8155, 7042, 1125, 1200, 1343, 1977, 1125, 3657, 1125, 6847, 1197, 13099, 23536, 10791, 7042, 1125, 1200, 1343, 1977, 1299, 1189, 7042, 1357, 18041, 1439, 2327, 1318, 5625, 1275, 8900, 1561, 3657, 1125, 6847, 1197, 13099, 1274, 1457, 1643, 19408, 1299, 1309, 3219, 5625, 7353, 15991, 1189, 13099, 3706, 18891, 2227, 2851, 2076, 1995, 1207, 6282, 2519, 4927, 15762, 1288, 1508, 1382, 1188, 1158, 10240, 121, 2576, 179, 2124, 25374, 1299, 1309, 1207, 14244, 1392, 7139, 7085, 1318, 9470, 26415, 1227, 4041, 1197, 13099, 23536, 8155, 7042, 2690, 1309, 1207, 13099, 23536, 1508, 27853, 1186, 2321, 1125, 2069, 24875, 1297, 1548, 3151, 1299, 1158, 5219, 14785, 20167, 1197, 6550, 1346, 1318, 5219, 1408, 26659, 24454, 1197, 13099, 23536, 1408, 7513, 4413, 1643, 9640, 1299, 1158, 14856, 2334, 1348, 1197, 27094, 2040, 1186, 4864, 6326, 1346, 1318, 3385, 1915, 18996, 1909, 27094, 2130, 18996, 1909, 5858, 1420, 1125, 13099, 23536, 6952, 1440, 1309, 1207, 20088, 6903, 14826, 174, 1153, 6157, 11826, 172, 1188, 15991, 1189, 7200, 4041, 1125, 27094, 8155, 7042, 5332, 6349, 2069, 2925, 243, 15354, 1170, 17167, 1125, 6847, 22567, 1167, 1158, 12029, 1188, 5685, 1207, 13099, 23536, 2981, 1785, 1999, 4520, 1502, 1129, 1188, 1816, 22567, 8623, 488, 488, 2093, 12736, 2232, 488, 488, 1222, 2213, 1299, 1170, 13099, 3706, 1215, 3872, 1188, 30059, 1199, 1111, 106, 488, 488, 1222, 170, 3899, 120, 124, 116, 1299, 1170, 13099, 3706, 1215, 3872, 1188, 30059, 1199, 1111, 120, 124, 119, 16490, 1170, 13099, 3706, 1215, 3872, 1125, 9911, 24339, 106, 488, 488, 1110, 1299, 1158, 12029, 1304, 4520, 1153, 2209, 1362, 1170, 22101, 1304, 4520, 11275, 2121, 1469, 1110, 2407, 488, 123, 106, 488, 488, 1222, 117, 2213, 1299, 1170, 13099, 3706, 1215, 3872, 22567, 1188, 30059, 1199, 1111, 119, 1469, 1222, 117, 2213, 2407, 488, 123, 106, 488, 488, 1138, 1299, 1170, 17167, 1125, 6847, 22567, 1197, 27094, 1215, 3872, 8665, 1227, 4075, 2308, 2215, 120, 6156, 1215, 3872, 1496, 1469, 1138, 2407, 488, 123, 106, 488, 488, 1254, 2213, 1299, 1170, 19276, 1215, 3872, 8665, 4075, 2308, 2215, 120, 6156, 1215, 3872, 116, 1188, 30059, 1199, 1111, 29515, 5225, 5725, 1594, 7042, 1571, 5555, 8403, 1346, 4172, 1200, 1343, 1977, 1110, 23630, 1309, 1110, 3031, 1167, 1138, 3031, 1939, 2093, 20634, 1167, 5474, 2093, 224, 3300, 2038, 8403, 1227, 23841, 6298, 8156, 1186, 2749, 488, 124, 132, 124, 129, 9317, 1186, 2798, 488, 124, 132, 131, 126, 9317, 1188, 488, 129, 130, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 7831, 178, 1142, 1200, 1343, 16781, 28430, 1175, 124, 132, 124, 129, 1323, 488, 124, 132, 131, 126, 116, 3031, 1189, 13787, 1125, 1158, 30211, 8230, 5761, 1313, 1207, 4092, 488, 124, 132, 129, 123, 1167, 1299, 6113, 1197, 13427, 1568, 2518, 1227, 7042, 7993, 6726, 1197, 14847, 10360, 4698, 3625, 7761, 4023, 151, 1343, 1977, 3031, 2445, 9918, 1256, 1594, 6581, 244, 1125, 488, 124, 132, 131, 126, 1188, 1158, 1606, 18610, 10405, 1243, 190, 22279, 1162, 4821, 2616, 1158, 3453, 12999, 1527, 1110, 14268, 1440, 1309, 10276, 16240, 9318, 1170, 1606, 11002, 1200, 1343, 1977, 3133, 24137, 24697, 1410, 14937, 4193, 29850, 1161, 3318, 5757, 2772, 1259, 1406, 4338, 1109, 15303, 26108, 1842, 5440, 8032, 10418, 10644, 13132, 4495, 1147, 5370, 12145, 7531, 1161, 14940, 190, 1171, 1233, 8963, 9994, 1343, 1977, 1110, 15363, 1318, 12969, 1125, 21455, 1227, 28634, 1186, 488, 124, 132, 126, 132, 121, 1768, 1299, 22562, 1188, 30211, 1256, 1197, 8787, 19034, 1842, 9911, 10549, 121, 1768, 10923, 1245, 7581, 1170, 5773, 21495, 1132, 7041, 1186, 488, 124, 132, 127, 125, 119, 7354, 6711, 1125, 1158, 13309, 1161, 26068, 1285, 1318, 30357, 1125, 3370, 8905, 10641, 1300, 3203, 5305, 2130, 3419, 21608, 1309, 1158, 3370, 23169, 8155, 7042, 1125, 1200, 1343, 1977, 1125, 3657, 1125, 6847, 1197, 13099, 23536, 10791, 7042, 1125, 1200, 1343, 1977, 1299, 1189, 7042, 1357, 18041, 1439, 2327, 1318, 5625, 1275, 8900, 1561, 3657, 1125, 6847, 1197, 13099, 1274, 1457, 1643, 19408, 1299, 1309, 3219, 5625, 7353, 15991, 1189, 13099, 3706, 18891, 2227, 2851, 2076, 1995, 1207, 6282, 2519, 4927, 15762, 1288, 1508, 1382, 1188, 1158, 10240, 121, 2576, 179, 2124, 25374, 1299, 1309, 1207, 14244, 1392, 7139, 7085, 1318, 9470, 26415, 1227, 4041, 1197, 13099, 23536, 8155, 7042, 2690, 1309, 1207, 13099, 23536, 1508, 27853, 1186, 2321, 1125, 2069, 24875, 1297, 1548, 3151, 1299, 1158, 5219, 14785, 20167, 1197, 6550, 1346, 1318, 5219, 1408, 26659, 24454, 1197, 13099, 23536, 1408, 7513, 4413, 1643, 9640, 1299, 1158, 14856, 2334, 1348, 1197, 27094, 2040, 1186, 4864, 6326, 1346, 1318, 3385, 1915, 18996, 1909, 27094, 2130, 18996, 1909, 5858, 1420, 1125, 13099, 23536, 6952, 1440, 1309, 1207, 20088, 6903, 14826, 174, 1153, 6157, 11826, 172, 1188, 15991, 1189, 7200, 4041, 1125, 27094, 8155, 7042, 5332, 6349, 2069, 2925, 243, 15354, 1170, 17167, 1125, 6847, 22567, 1167, 1158, 12029, 1188, 5685, 1207, 13099, 23536, 2981, 1785, 1999, 4520, 1502, 1129, 1188, 1816, 22567, 8623, 488, 488, 2093, 12736, 2232, 488, 488, 1222, 2213, 1299, 1170, 13099, 3706, 1215, 3872, 1188, 30059, 1199, 1111, 106, 488, 488, 1222, 170, 3899, 120, 124, 116, 1299, 1170, 13099, 3706, 1215, 3872, 1188, 30059, 1199, 1111, 120, 124, 119, 16490, 1170, 13099, 3706, 1215, 3872, 1125, 9911, 24339, 106, 488, 488, 1110, 1299, 1158, 12029, 1304, 4520, 1153, 2209, 1362, 1170, 22101, 1304, 4520, 11275, 2121, 1469, 1110, 2407, 488, 123, 106, 488, 488, 1222, 117, 2213, 1299, 1170, 13099, 3706, 1215, 3872, 22567, 1188, 30059, 1199, 1111, 119, 1469, 1222, 117, 2213, 2407, 488, 123, 106, 488, 488, 1138, 1299, 1170, 17167, 1125, 6847, 22567, 1197, 27094, 1215, 3872, 8665, 1227, 4075, 2308, 2215, 120, 6156, 1215, 3872, 1496, 1469, 1138, 2407, 488, 123, 106, 488, 488, 1254, 2213, 1299, 1170, 19276, 1215, 3872, 8665, 4075, 2308, 2215, 120, 6156, 1215, 3872, 116, 1188, 30059, 1199, 1111, 29515, 5225, 5725, 1594, 7042, 1571, 5555, 8403, 1346, 4172, 1200, 1343, 1977, 1110, 23630, 1309, 1110, 3031, 1167, 1138, 3031, 1939, 2093, 20634, 1167, 5474, 2093, 224, 3300, 2038, 8403, 1227, 23841, 6298, 8156, 1186, 2749, 488, 124, 132, 124, 129, 9317, 1186, 2798, 488, 124, 132, 131, 126, 9317, 1188, 488, 129, 130, 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, 5347, 1125, 8969, 1257, 488, 127, 2921, 488, 125, 123, 123, 130, 32001, 1424, 32000, 20036, 12534, 1125, 8969, 1257, 488, 127, 2921, 488, 125, 123, 123, 130, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 12534, 1125, 8969, 1257, 488, 127, 2921, 488, 125, 123, 123, 130, 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, 1358, 2634, 1300, 1207, 9628, 1317, 21144, 3835, 30555, 8045, 1339, 1328, 25508, 1207, 12768, 12735, 1525, 1288, 17355, 1199, 1382, 1317, 21144, 1167, 1207, 12555, 2487, 1207, 18928, 1281, 4256, 1313, 14141, 6923, 10177, 15376, 30705, 1158, 2969, 1203, 19311, 1125, 1158, 3650, 1227, 488, 129, 3012, 488, 124, 132, 129, 128, 1207, 5221, 1167, 1207, 14098, 2894, 2457, 1170, 2076, 30856, 1300, 1170, 5478, 4353, 1469, 1189, 6450, 19025, 2634, 1300, 1207, 27094, 18763, 1153, 1215, 1207, 28354, 1457, 1643, 3650, 1125, 14139, 1125, 488, 124, 132, 129, 128, 1110, 21119, 1440, 10496, 1256, 1207, 5221, 1167, 1207, 12555, 1215, 1189, 4374, 30856, 1300, 1207, 28396, 4413, 3559, 9196, 1299, 1597, 6566, 1188, 3631, 1186, 488, 124, 132, 131, 131, 3317, 3151, 21150, 1125, 16354, 2634, 1300, 1207, 9628, 3618, 6033, 244, 1170, 4367, 19025, 15540, 1125, 488, 124, 132, 130, 126, 1186, 1189, 4367, 1313, 6640, 1318, 3888, 9261, 1466, 1159, 7662, 1197, 13099, 23536, 1110, 3090, 1188, 1189, 7574, 19025, 2634, 31612, 1188, 16354, 2634, 1300, 1207, 9628, 3839, 2894, 1303, 1215, 1158, 3385, 1357, 14652, 1207, 13099, 1274, 1457, 11027, 488, 124, 132, 132, 130, 119, 1207, 7548, 2132, 4658, 16354, 2634, 1300, 1170, 14376, 1167, 16354, 2634, 1300, 1207, 9628, 2004, 1913, 9144, 1642, 6002, 1548, 4367, 13753, 1110, 1913, 1338, 1343, 1150, 2144, 1186, 488, 124, 132, 132, 132, 119, 1469, 1282, 15573, 1702, 1197, 1305, 2339, 19025, 12375, 1167, 1170, 13994, 1197, 18377, 19025, 2634, 1300, 1207, 13099, 1274, 1457, 6415, 1110, 4795, 1256, 18530, 1125, 3754, 3389, 1215, 3203, 1170, 7774, 5777, 19025, 5066, 8155, 5987, 14898, 1110, 1913, 3155, 4290, 244, 1215, 1158, 4307, 6923, 1125, 6872, 1357, 1110, 24818, 1309, 4345, 1197, 11227, 1125, 16354, 2634, 1300, 1207, 9628, 6096, 1147, 23697, 3606, 1469, 1207, 29222, 1125, 14141, 6923, 121, 1548, 5987, 7606, 12001, 27314, 1215, 1207, 15430, 1304, 15511, 119, 9442, 2217, 12474, 1594, 11047, 1188, 1170, 1338, 15326, 8370, 488, 125, 123, 125, 124, 119, 1170, 5328, 14898, 1197, 4444, 9653, 1248, 1943, 180, 6503, 1569, 10656, 17978, 27255, 1170, 5777, 1125, 16354, 2634, 1300, 1207, 9628, 1125, 488, 124, 132, 2199, 1188, 488, 125, 128, 2199, 1304, 2189, 1188, 488, 125, 123, 125, 126, 121, 13240, 1256, 2630, 1125, 1408, 9549, 1947, 29367, 2587, 1188, 488, 126, 119, 126, 13149, 1125, 9337, 1125, 11927, 1894, 6352, 6450, 5291, 1158, 4946, 11755, 18041, 15550, 29777, 7328, 488, 125, 123, 13149, 1188, 16394, 3219, 1894, 3798, 28468, 2399, 1288, 11102, 25816, 2960, 1382, 1571, 28136, 3014, 1199, 2864, 1125, 488, 125, 128, 123, 488, 123, 123, 123, 9337, 1125, 6550, 1346, 2666, 488, 130, 123, 2199, 1197, 28354, 1457, 24964, 1170, 5777, 6139, 2960, 25911, 1188, 488, 125, 128, 2199, 1835, 488, 125, 128, 123, 488, 123, 123, 123, 1167, 488, 124, 488, 128, 123, 123, 488, 123, 123, 123, 9337, 1125, 6550, 1346, 1440, 1357, 10262, 1309, 24539, 1207, 488, 124, 123, 2199, 13432, 10697, 1207, 1408, 9733, 2234, 10086, 10574, 1258, 1170, 5777, 3163, 4537, 1867, 1300, 31980, 249, 3378, 1318, 3185, 29465, 3409, 25368, 1125, 488, 124, 126, 123, 2199, 2934, 31959, 1571, 5221, 1357, 4539, 11497, 1129, 1300, 1207, 2069, 26203, 4092, 11488, 1167, 20117, 20544, 11052, 1424, 148, 2402, 2634, 1300, 1207, 9628, 23159, 2645, 1902, 19435, 1252, 2645, 1902, 1317, 21144, 114, 32001, 1424, 32000, 20036, 6725, 1358, 2634, 1300, 1207, 9628, 1317, 21144, 3835, 30555, 8045, 1339, 1328, 25508, 1207, 12768, 12735, 1525, 1288, 17355, 1199, 1382, 1317, 21144, 1167, 1207, 12555, 2487, 1207, 18928, 1281, 4256, 1313, 14141, 6923, 10177, 15376, 30705, 1158, 2969, 1203, 19311, 1125, 1158, 3650, 1227, 488, 129, 3012, 488, 124, 132, 129, 128, 1207, 5221, 1167, 1207, 14098, 2894, 2457, 1170, 2076, 30856, 1300, 1170, 5478, 4353, 1469, 1189, 6450, 19025, 2634, 1300, 1207, 27094, 18763, 1153, 1215, 1207, 28354, 1457, 1643, 3650, 1125, 14139, 1125, 488, 124, 132, 129, 128, 1110, 21119, 1440, 10496, 1256, 1207, 5221, 1167, 1207, 12555, 1215, 1189, 4374, 30856, 1300, 1207, 28396, 4413, 3559, 9196, 1299, 1597, 6566, 1188, 3631, 1186, 488, 124, 132, 131, 131, 3317, 3151, 21150, 1125, 16354, 2634, 1300, 1207, 9628, 3618, 6033, 244, 1170, 4367, 19025, 15540, 1125, 488, 124, 132, 130, 126, 1186, 1189, 4367, 1313, 6640, 1318, 3888, 9261, 1466, 1159, 7662, 1197, 13099, 23536, 1110, 3090, 1188, 1189, 7574, 19025, 2634, 31612, 1188, 16354, 2634, 1300, 1207, 9628, 3839, 2894, 1303, 1215, 1158, 3385, 1357, 14652, 1207, 13099, 1274, 1457, 11027, 488, 124, 132, 132, 130, 119, 1207, 7548, 2132, 4658, 16354, 2634, 1300, 1170, 14376, 1167, 16354, 2634, 1300, 1207, 9628, 2004, 1913, 9144, 1642, 6002, 1548, 4367, 13753, 1110, 1913, 1338, 1343, 1150, 2144, 1186, 488, 124, 132, 132, 132, 119, 1469, 1282, 15573, 1702, 1197, 1305, 2339, 19025, 12375, 1167, 1170, 13994, 1197, 18377, 19025, 2634, 1300, 1207, 13099, 1274, 1457, 6415, 1110, 4795, 1256, 18530, 1125, 3754, 3389, 1215, 3203, 1170, 7774, 5777, 19025, 5066, 8155, 5987, 14898, 1110, 1913, 3155, 4290, 244, 1215, 1158, 4307, 6923, 1125, 6872, 1357, 1110, 24818, 1309, 4345, 1197, 11227, 1125, 16354, 2634, 1300, 1207, 9628, 6096, 1147, 23697, 3606, 1469, 1207, 29222, 1125, 14141, 6923, 121, 1548, 5987, 7606, 12001, 27314, 1215, 1207, 15430, 1304, 15511, 119, 9442, 2217, 12474, 1594, 11047, 1188, 1170, 1338, 15326, 8370, 488, 125, 123, 125, 124, 119, 1170, 5328, 14898, 1197, 4444, 9653, 1248, 1943, 180, 6503, 1569, 10656, 17978, 27255, 1170, 5777, 1125, 16354, 2634, 1300, 1207, 9628, 1125, 488, 124, 132, 2199, 1188, 488, 125, 128, 2199, 1304, 2189, 1188, 488, 125, 123, 125, 126, 121, 13240, 1256, 2630, 1125, 1408, 9549, 1947, 29367, 2587, 1188, 488, 126, 119, 126, 13149, 1125, 9337, 1125, 11927, 1894, 6352, 6450, 5291, 1158, 4946, 11755, 18041, 15550, 29777, 7328, 488, 125, 123, 13149, 1188, 16394, 3219, 1894, 3798, 28468, 2399, 1288, 11102, 25816, 2960, 1382, 1571, 28136, 3014, 1199, 2864, 1125, 488, 125, 128, 123, 488, 123, 123, 123, 9337, 1125, 6550, 1346, 2666, 488, 130, 123, 2199, 1197, 28354, 1457, 24964, 1170, 5777, 6139, 2960, 25911, 1188, 488, 125, 128, 2199, 1835, 488, 125, 128, 123, 488, 123, 123, 123, 1167, 488, 124, 488, 128, 123, 123, 488, 123, 123, 123, 9337, 1125, 6550, 1346, 1440, 1357, 10262, 1309, 24539, 1207, 488, 124, 123, 2199, 13432, 10697, 1207, 1408, 9733, 2234, 10086, 10574, 1258, 1170, 5777, 3163, 4537, 1867, 1300, 31980, 249, 3378, 1318, 3185, 29465, 3409, 25368, 1125, 488, 124, 126, 123, 2199, 2934, 31959, 1571, 5221, 1357, 4539, 11497, 1129, 1300, 1207, 2069, 26203, 4092, 11488, 1167, 20117, 20544, 11052, 1424, 148, 2402, 2634, 1300, 1207, 9628, 23159, 2645, 1902, 19435, 1252, 2645, 1902, 1317, 21144, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1358, 2634, 1300, 1207, 9628, 1317, 21144, 3835, 30555, 8045, 1339, 1328, 25508, 1207, 12768, 12735, 1525, 1288, 17355, 1199, 1382, 1317, 21144, 1167, 1207, 12555, 2487, 1207, 18928, 1281, 4256, 1313, 14141, 6923, 10177, 15376, 30705, 1158, 2969, 1203, 19311, 1125, 1158, 3650, 1227, 488, 129, 3012, 488, 124, 132, 129, 128, 1207, 5221, 1167, 1207, 14098, 2894, 2457, 1170, 2076, 30856, 1300, 1170, 5478, 4353, 1469, 1189, 6450, 19025, 2634, 1300, 1207, 27094, 18763, 1153, 1215, 1207, 28354, 1457, 1643, 3650, 1125, 14139, 1125, 488, 124, 132, 129, 128, 1110, 21119, 1440, 10496, 1256, 1207, 5221, 1167, 1207, 12555, 1215, 1189, 4374, 30856, 1300, 1207, 28396, 4413, 3559, 9196, 1299, 1597, 6566, 1188, 3631, 1186, 488, 124, 132, 131, 131, 3317, 3151, 21150, 1125, 16354, 2634, 1300, 1207, 9628, 3618, 6033, 244, 1170, 4367, 19025, 15540, 1125, 488, 124, 132, 130, 126, 1186, 1189, 4367, 1313, 6640, 1318, 3888, 9261, 1466, 1159, 7662, 1197, 13099, 23536, 1110, 3090, 1188, 1189, 7574, 19025, 2634, 31612, 1188, 16354, 2634, 1300, 1207, 9628, 3839, 2894, 1303, 1215, 1158, 3385, 1357, 14652, 1207, 13099, 1274, 1457, 11027, 488, 124, 132, 132, 130, 119, 1207, 7548, 2132, 4658, 16354, 2634, 1300, 1170, 14376, 1167, 16354, 2634, 1300, 1207, 9628, 2004, 1913, 9144, 1642, 6002, 1548, 4367, 13753, 1110, 1913, 1338, 1343, 1150, 2144, 1186, 488, 124, 132, 132, 132, 119, 1469, 1282, 15573, 1702, 1197, 1305, 2339, 19025, 12375, 1167, 1170, 13994, 1197, 18377, 19025, 2634, 1300, 1207, 13099, 1274, 1457, 6415, 1110, 4795, 1256, 18530, 1125, 3754, 3389, 1215, 3203, 1170, 7774, 5777, 19025, 5066, 8155, 5987, 14898, 1110, 1913, 3155, 4290, 244, 1215, 1158, 4307, 6923, 1125, 6872, 1357, 1110, 24818, 1309, 4345, 1197, 11227, 1125, 16354, 2634, 1300, 1207, 9628, 6096, 1147, 23697, 3606, 1469, 1207, 29222, 1125, 14141, 6923, 121, 1548, 5987, 7606, 12001, 27314, 1215, 1207, 15430, 1304, 15511, 119, 9442, 2217, 12474, 1594, 11047, 1188, 1170, 1338, 15326, 8370, 488, 125, 123, 125, 124, 119, 1170, 5328, 14898, 1197, 4444, 9653, 1248, 1943, 180, 6503, 1569, 10656, 17978, 27255, 1170, 5777, 1125, 16354, 2634, 1300, 1207, 9628, 1125, 488, 124, 132, 2199, 1188, 488, 125, 128, 2199, 1304, 2189, 1188, 488, 125, 123, 125, 126, 121, 13240, 1256, 2630, 1125, 1408, 9549, 1947, 29367, 2587, 1188, 488, 126, 119, 126, 13149, 1125, 9337, 1125, 11927, 1894, 6352, 6450, 5291, 1158, 4946, 11755, 18041, 15550, 29777, 7328, 488, 125, 123, 13149, 1188, 16394, 3219, 1894, 3798, 28468, 2399, 1288, 11102, 25816, 2960, 1382, 1571, 28136, 3014, 1199, 2864, 1125, 488, 125, 128, 123, 488, 123, 123, 123, 9337, 1125, 6550, 1346, 2666, 488, 130, 123, 2199, 1197, 28354, 1457, 24964, 1170, 5777, 6139, 2960, 25911, 1188, 488, 125, 128, 2199, 1835, 488, 125, 128, 123, 488, 123, 123, 123, 1167, 488, 124, 488, 128, 123, 123, 488, 123, 123, 123, 9337, 1125, 6550, 1346, 1440, 1357, 10262, 1309, 24539, 1207, 488, 124, 123, 2199, 13432, 10697, 1207, 1408, 9733, 2234, 10086, 10574, 1258, 1170, 5777, 3163, 4537, 1867, 1300, 31980, 249, 3378, 1318, 3185, 29465, 3409, 25368, 1125, 488, 124, 126, 123, 2199, 2934, 31959, 1571, 5221, 1357, 4539, 11497, 1129, 1300, 1207, 2069, 26203, 4092, 11488, 1167, 20117, 20544, 11052, 1424, 148, 2402, 2634, 1300, 1207, 9628, 23159, 2645, 1902, 19435, 1252, 2645, 1902, 1317, 21144, 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, 6937, 1258, 6018, 1167, 27746, 2495, 1110, 249, 6968, 1299, 1189, 3418, 2720, 8922, 1215, 26622, 8220, 1190, 1186, 488, 124, 132, 127, 124, 14317, 1227, 7808, 1253, 1614, 20028, 16003, 10263, 1206, 1222, 3595, 1130, 2040, 3557, 1561, 16934, 22412, 1317, 9452, 7745, 31751, 30705, 1125, 1127, 13639, 2134, 9732, 1125, 17484, 119, 7752, 1258, 28391, 11535, 2254, 4382, 3415, 10960, 3556, 1125, 4105, 2007, 6843, 1285, 1776, 1214, 1188, 1594, 1288, 1196, 192, 16855, 1175, 15440, 14166, 1298, 116, 1909, 8091, 6840, 1234, 1257, 2914, 16722, 1561, 5921, 25267, 9845, 1145, 1214, 15701, 1121, 116, 1167, 2914, 1999, 1322, 21921, 1469, 1189, 10977, 1793, 10768, 25891, 19208, 27746, 2495, 7194, 176, 24079, 19063, 2091, 1496, 1256, 17422, 1271, 20423, 1257, 1440, 2934, 9318, 1606, 7752, 1258, 6018, 1167, 27746, 2495, 1110, 249, 6968, 1524, 18898, 1261, 1739, 3144, 1906, 1995, 1170, 3482, 1130, 1125, 15236, 1334, 4048, 1772, 1199, 197, 5867, 1608, 1379, 30005, 2360, 1496, 16570, 21267, 1125, 29813, 7138, 1539, 243, 1897, 4698, 1229, 1415, 8411, 1109, 1496, 1357, 10491, 1167, 1299, 19651, 1227, 6018, 6371, 2357, 3042, 1309, 18983, 1187, 1303, 5587, 189, 1452, 1314, 1233, 1224, 196, 1496, 1318, 6018, 3529, 1187, 4048, 10491, 1772, 1199, 14768, 7823, 5357, 1142, 24935, 1309, 29813, 7138, 16893, 1125, 10399, 1212, 1107, 3471, 1124, 2399, 1110, 1197, 20538, 1300, 16855, 1496, 1772, 1199, 197, 1910, 1317, 1173, 2759, 1119, 2720, 1317, 31909, 1445, 1125, 18983, 1187, 3798, 1643, 13787, 1125, 19652, 1125, 29813, 1105, 2620, 24487, 4698, 1700, 2904, 1286, 19099, 1857, 1496, 1618, 1205, 1336, 1256, 6157, 16722, 15236, 1334, 4048, 2648, 1256, 6157, 1971, 3556, 1158, 23068, 1206, 1125, 16855, 8273, 1140, 1670, 4112, 2646, 1533, 1214, 15236, 1334, 4048, 1357, 1288, 1281, 5931, 2803, 1125, 31491, 1125, 2962, 1207, 31354, 3608, 1256, 21679, 1207, 21513, 1634, 1125, 22043, 1125, 29813, 7138, 1257, 16119, 4951, 8547, 11888, 3988, 4685, 1317, 1352, 1234, 7512, 1553, 13040, 1170, 5873, 4688, 23304, 1415, 9845, 1203, 1354, 11588, 5904, 116, 19619, 16855, 1167, 29813, 7138, 14275, 1188, 1271, 18099, 9747, 3725, 2797, 1271, 20423, 1299, 1317, 2107, 2851, 10278, 25267, 1167, 15236, 1334, 4048, 1207, 31126, 1367, 6897, 4413, 1173, 1205, 3590, 28605, 1170, 20192, 4497, 3915, 15656, 1244, 196, 1496, 1844, 13415, 1772, 1199, 197, 7482, 9971, 1256, 2914, 9507, 1369, 1594, 15722, 1300, 1158, 4356, 1125, 10519, 119, 1723, 2081, 1300, 1594, 3529, 1249, 1515, 121, 1772, 1199, 197, 1714, 184, 1767, 29813, 7138, 1167, 7032, 2735, 1437, 1620, 1317, 26625, 1125, 18983, 1187, 2806, 1723, 29813, 1105, 2620, 2081, 2130, 1116, 1869, 11872, 1170, 17401, 1635, 1256, 2914, 1288, 1114, 2852, 1382, 1561, 3620, 121, 1772, 1199, 197, 2827, 24120, 1313, 1909, 2697, 22074, 1723, 23347, 9016, 6157, 1170, 12522, 1890, 2743, 1318, 12999, 1169, 2640, 1256, 1170, 1173, 2759, 3100, 1167, 18983, 1187, 1303, 19859, 1125, 31909, 1445, 12825, 13541, 2372, 187, 1585, 1690, 1309, 16855, 1844, 1855, 7405, 2209, 1256, 29813, 7138, 1177, 7653, 1129, 10519, 1167, 25267, 3233, 7970, 7282, 1318, 18521, 8126, 1188, 1594, 9159, 1256, 1982, 3691, 1188, 1318, 11328, 3655, 9346, 2821, 10877, 1186, 2435, 29886, 1199, 1309, 16855, 26834, 10519, 1188, 1158, 31720, 1286, 1256, 29813, 1105, 4654, 1173, 1205, 3590, 1414, 22432, 1188, 19208, 1309, 1158, 4685, 1299, 1177, 7653, 2806, 1167, 6414, 121, 15236, 1334, 4048, 4639, 15828, 4047, 176, 29813, 7138, 1188, 1432, 2228, 1107, 1909, 23860, 1256, 23205, 1158, 4382, 3415, 119, 1158, 17484, 1186, 2076, 2658, 1798, 18517, 1810, 9516, 1909, 22348, 1167, 20861, 1318, 4077, 3620, 1125, 2714, 1724, 20534, 1186, 2674, 1105, 13503, 1317, 4859, 16807, 1642, 244, 9994, 462, 4574, 2674, 2307, 1118, 2806, 1527, 30667, 3333, 1173, 1205, 3590, 1414, 1606, 1856, 1574, 2462, 1517, 3133, 1317, 7078, 17624, 2585, 119, 18295, 1240, 14023, 3352, 4403, 27944, 1257, 7752, 1258, 6018, 1167, 27746, 2495, 1110, 249, 6968, 5968, 4521, 1257, 26622, 8220, 1190, 24425, 1538, 5844, 1257, 4148, 22238, 1202, 1376, 21469, 1170, 7808, 1253, 1614, 20028, 16003, 10263, 1206, 1222, 3595, 1130, 23332, 1186, 488, 124, 131, 130, 127, 2413, 1153, 1460, 1257, 22317, 19182, 11978, 25624, 4134, 1257, 22317, 1293, 1435, 1334, 5574, 1500, 1257, 8415, 1354, 1321, 172, 4339, 1250, 24738, 1125, 4052, 1257, 8006, 24842, 1125, 19210, 1165, 1109, 24023, 11565, 13164, 1128, 1257, 17392, 1167, 7207, 1323, 488, 126, 128, 8680, 1323, 488, 124, 119, 126, 130, 133, 124, 1323, 6218, 1691, 186, 2911, 1108, 1112, 1257, 12483, 27325, 18770, 1257, 488, 132, 123, 4826, 12534, 1125, 8969, 1257, 21678, 1323, 13776, 10995, 9323, 1167, 5474, 5532, 1354, 16718, 23159, 6417, 2720, 9665, 1186, 488, 124, 132, 127, 124, 15089, 27325, 2720, 15089, 8922, 1215, 26622, 8220, 1190, 15089, 1469, 1318, 7585, 17350, 1215, 22317, 19182, 11978, 15089, 25333, 2519, 6885, 16003, 10263, 1206, 1222, 3595, 1130, 15089, 2720, 1186, 7272, 1167, 7207, 8535, 17005, 2335, 7808, 2720, 1317, 9452, 114, 32001, 1424, 32000, 20036, 24623, 6937, 1258, 6018, 1167, 27746, 2495, 1110, 249, 6968, 1299, 1189, 3418, 2720, 8922, 1215, 26622, 8220, 1190, 1186, 488, 124, 132, 127, 124, 14317, 1227, 7808, 1253, 1614, 20028, 16003, 10263, 1206, 1222, 3595, 1130, 2040, 3557, 1561, 16934, 22412, 1317, 9452, 7745, 31751, 30705, 1125, 1127, 13639, 2134, 9732, 1125, 17484, 119, 7752, 1258, 28391, 11535, 2254, 4382, 3415, 10960, 3556, 1125, 4105, 2007, 6843, 1285, 1776, 1214, 1188, 1594, 1288, 1196, 192, 16855, 1175, 15440, 14166, 1298, 116, 1909, 8091, 6840, 1234, 1257, 2914, 16722, 1561, 5921, 25267, 9845, 1145, 1214, 15701, 1121, 116, 1167, 2914, 1999, 1322, 21921, 1469, 1189, 10977, 1793, 10768, 25891, 19208, 27746, 2495, 7194, 176, 24079, 19063, 2091, 1496, 1256, 17422, 1271, 20423, 1257, 1440, 2934, 9318, 1606, 7752, 1258, 6018, 1167, 27746, 2495, 1110, 249, 6968, 1524, 18898, 1261, 1739, 3144, 1906, 1995, 1170, 3482, 1130, 1125, 15236, 1334, 4048, 1772, 1199, 197, 5867, 1608, 1379, 30005, 2360, 1496, 16570, 21267, 1125, 29813, 7138, 1539, 243, 1897, 4698, 1229, 1415, 8411, 1109, 1496, 1357, 10491, 1167, 1299, 19651, 1227, 6018, 6371, 2357, 3042, 1309, 18983, 1187, 1303, 5587, 189, 1452, 1314, 1233, 1224, 196, 1496, 1318, 6018, 3529, 1187, 4048, 10491, 1772, 1199, 14768, 7823, 5357, 1142, 24935, 1309, 29813, 7138, 16893, 1125, 10399, 1212, 1107, 3471, 1124, 2399, 1110, 1197, 20538, 1300, 16855, 1496, 1772, 1199, 197, 1910, 1317, 1173, 2759, 1119, 2720, 1317, 31909, 1445, 1125, 18983, 1187, 3798, 1643, 13787, 1125, 19652, 1125, 29813, 1105, 2620, 24487, 4698, 1700, 2904, 1286, 19099, 1857, 1496, 1618, 1205, 1336, 1256, 6157, 16722, 15236, 1334, 4048, 2648, 1256, 6157, 1971, 3556, 1158, 23068, 1206, 1125, 16855, 8273, 1140, 1670, 4112, 2646, 1533, 1214, 15236, 1334, 4048, 1357, 1288, 1281, 5931, 2803, 1125, 31491, 1125, 2962, 1207, 31354, 3608, 1256, 21679, 1207, 21513, 1634, 1125, 22043, 1125, 29813, 7138, 1257, 16119, 4951, 8547, 11888, 3988, 4685, 1317, 1352, 1234, 7512, 1553, 13040, 1170, 5873, 4688, 23304, 1415, 9845, 1203, 1354, 11588, 5904, 116, 19619, 16855, 1167, 29813, 7138, 14275, 1188, 1271, 18099, 9747, 3725, 2797, 1271, 20423, 1299, 1317, 2107, 2851, 10278, 25267, 1167, 15236, 1334, 4048, 1207, 31126, 1367, 6897, 4413, 1173, 1205, 3590, 28605, 1170, 20192, 4497, 3915, 15656, 1244, 196, 1496, 1844, 13415, 1772, 1199, 197, 7482, 9971, 1256, 2914, 9507, 1369, 1594, 15722, 1300, 1158, 4356, 1125, 10519, 119, 1723, 2081, 1300, 1594, 3529, 1249, 1515, 121, 1772, 1199, 197, 1714, 184, 1767, 29813, 7138, 1167, 7032, 2735, 1437, 1620, 1317, 26625, 1125, 18983, 1187, 2806, 1723, 29813, 1105, 2620, 2081, 2130, 1116, 1869, 11872, 1170, 17401, 1635, 1256, 2914, 1288, 1114, 2852, 1382, 1561, 3620, 121, 1772, 1199, 197, 2827, 24120, 1313, 1909, 2697, 22074, 1723, 23347, 9016, 6157, 1170, 12522, 1890, 2743, 1318, 12999, 1169, 2640, 1256, 1170, 1173, 2759, 3100, 1167, 18983, 1187, 1303, 19859, 1125, 31909, 1445, 12825, 13541, 2372, 187, 1585, 1690, 1309, 16855, 1844, 1855, 7405, 2209, 1256, 29813, 7138, 1177, 7653, 1129, 10519, 1167, 25267, 3233, 7970, 7282, 1318, 18521, 8126, 1188, 1594, 9159, 1256, 1982, 3691, 1188, 1318, 11328, 3655, 9346, 2821, 10877, 1186, 2435, 29886, 1199, 1309, 16855, 26834, 10519, 1188, 1158, 31720, 1286, 1256, 29813, 1105, 4654, 1173, 1205, 3590, 1414, 22432, 1188, 19208, 1309, 1158, 4685, 1299, 1177, 7653, 2806, 1167, 6414, 121, 15236, 1334, 4048, 4639, 15828, 4047, 176, 29813, 7138, 1188, 1432, 2228, 1107, 1909, 23860, 1256, 23205, 1158, 4382, 3415, 119, 1158, 17484, 1186, 2076, 2658, 1798, 18517, 1810, 9516, 1909, 22348, 1167, 20861, 1318, 4077, 3620, 1125, 2714, 1724, 20534, 1186, 2674, 1105, 13503, 1317, 4859, 16807, 1642, 244, 9994, 462, 4574, 2674, 2307, 1118, 2806, 1527, 30667, 3333, 1173, 1205, 3590, 1414, 1606, 1856, 1574, 2462, 1517, 3133, 1317, 7078, 17624, 2585, 119, 18295, 1240, 14023, 3352, 4403, 27944, 1257, 7752, 1258, 6018, 1167, 27746, 2495, 1110, 249, 6968, 5968, 4521, 1257, 26622, 8220, 1190, 24425, 1538, 5844, 1257, 4148, 22238, 1202, 1376, 21469, 1170, 7808, 1253, 1614, 20028, 16003, 10263, 1206, 1222, 3595, 1130, 23332, 1186, 488, 124, 131, 130, 127, 2413, 1153, 1460, 1257, 22317, 19182, 11978, 25624, 4134, 1257, 22317, 1293, 1435, 1334, 5574, 1500, 1257, 8415, 1354, 1321, 172, 4339, 1250, 24738, 1125, 4052, 1257, 8006, 24842, 1125, 19210, 1165, 1109, 24023, 11565, 13164, 1128, 1257, 17392, 1167, 7207, 1323, 488, 126, 128, 8680, 1323, 488, 124, 119, 126, 130, 133, 124, 1323, 6218, 1691, 186, 2911, 1108, 1112, 1257, 12483, 27325, 18770, 1257, 488, 132, 123, 4826, 12534, 1125, 8969, 1257, 21678, 1323, 13776, 10995, 9323, 1167, 5474, 5532, 1354, 16718, 23159, 6417, 2720, 9665, 1186, 488, 124, 132, 127, 124, 15089, 27325, 2720, 15089, 8922, 1215, 26622, 8220, 1190, 15089, 1469, 1318, 7585, 17350, 1215, 22317, 19182, 11978, 15089, 25333, 2519, 6885, 16003, 10263, 1206, 1222, 3595, 1130, 15089, 2720, 1186, 7272, 1167, 7207, 8535, 17005, 2335, 7808, 2720, 1317, 9452, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 6937, 1258, 6018, 1167, 27746, 2495, 1110, 249, 6968, 1299, 1189, 3418, 2720, 8922, 1215, 26622, 8220, 1190, 1186, 488, 124, 132, 127, 124, 14317, 1227, 7808, 1253, 1614, 20028, 16003, 10263, 1206, 1222, 3595, 1130, 2040, 3557, 1561, 16934, 22412, 1317, 9452, 7745, 31751, 30705, 1125, 1127, 13639, 2134, 9732, 1125, 17484, 119, 7752, 1258, 28391, 11535, 2254, 4382, 3415, 10960, 3556, 1125, 4105, 2007, 6843, 1285, 1776, 1214, 1188, 1594, 1288, 1196, 192, 16855, 1175, 15440, 14166, 1298, 116, 1909, 8091, 6840, 1234, 1257, 2914, 16722, 1561, 5921, 25267, 9845, 1145, 1214, 15701, 1121, 116, 1167, 2914, 1999, 1322, 21921, 1469, 1189, 10977, 1793, 10768, 25891, 19208, 27746, 2495, 7194, 176, 24079, 19063, 2091, 1496, 1256, 17422, 1271, 20423, 1257, 1440, 2934, 9318, 1606, 7752, 1258, 6018, 1167, 27746, 2495, 1110, 249, 6968, 1524, 18898, 1261, 1739, 3144, 1906, 1995, 1170, 3482, 1130, 1125, 15236, 1334, 4048, 1772, 1199, 197, 5867, 1608, 1379, 30005, 2360, 1496, 16570, 21267, 1125, 29813, 7138, 1539, 243, 1897, 4698, 1229, 1415, 8411, 1109, 1496, 1357, 10491, 1167, 1299, 19651, 1227, 6018, 6371, 2357, 3042, 1309, 18983, 1187, 1303, 5587, 189, 1452, 1314, 1233, 1224, 196, 1496, 1318, 6018, 3529, 1187, 4048, 10491, 1772, 1199, 14768, 7823, 5357, 1142, 24935, 1309, 29813, 7138, 16893, 1125, 10399, 1212, 1107, 3471, 1124, 2399, 1110, 1197, 20538, 1300, 16855, 1496, 1772, 1199, 197, 1910, 1317, 1173, 2759, 1119, 2720, 1317, 31909, 1445, 1125, 18983, 1187, 3798, 1643, 13787, 1125, 19652, 1125, 29813, 1105, 2620, 24487, 4698, 1700, 2904, 1286, 19099, 1857, 1496, 1618, 1205, 1336, 1256, 6157, 16722, 15236, 1334, 4048, 2648, 1256, 6157, 1971, 3556, 1158, 23068, 1206, 1125, 16855, 8273, 1140, 1670, 4112, 2646, 1533, 1214, 15236, 1334, 4048, 1357, 1288, 1281, 5931, 2803, 1125, 31491, 1125, 2962, 1207, 31354, 3608, 1256, 21679, 1207, 21513, 1634, 1125, 22043, 1125, 29813, 7138, 1257, 16119, 4951, 8547, 11888, 3988, 4685, 1317, 1352, 1234, 7512, 1553, 13040, 1170, 5873, 4688, 23304, 1415, 9845, 1203, 1354, 11588, 5904, 116, 19619, 16855, 1167, 29813, 7138, 14275, 1188, 1271, 18099, 9747, 3725, 2797, 1271, 20423, 1299, 1317, 2107, 2851, 10278, 25267, 1167, 15236, 1334, 4048, 1207, 31126, 1367, 6897, 4413, 1173, 1205, 3590, 28605, 1170, 20192, 4497, 3915, 15656, 1244, 196, 1496, 1844, 13415, 1772, 1199, 197, 7482, 9971, 1256, 2914, 9507, 1369, 1594, 15722, 1300, 1158, 4356, 1125, 10519, 119, 1723, 2081, 1300, 1594, 3529, 1249, 1515, 121, 1772, 1199, 197, 1714, 184, 1767, 29813, 7138, 1167, 7032, 2735, 1437, 1620, 1317, 26625, 1125, 18983, 1187, 2806, 1723, 29813, 1105, 2620, 2081, 2130, 1116, 1869, 11872, 1170, 17401, 1635, 1256, 2914, 1288, 1114, 2852, 1382, 1561, 3620, 121, 1772, 1199, 197, 2827, 24120, 1313, 1909, 2697, 22074, 1723, 23347, 9016, 6157, 1170, 12522, 1890, 2743, 1318, 12999, 1169, 2640, 1256, 1170, 1173, 2759, 3100, 1167, 18983, 1187, 1303, 19859, 1125, 31909, 1445, 12825, 13541, 2372, 187, 1585, 1690, 1309, 16855, 1844, 1855, 7405, 2209, 1256, 29813, 7138, 1177, 7653, 1129, 10519, 1167, 25267, 3233, 7970, 7282, 1318, 18521, 8126, 1188, 1594, 9159, 1256, 1982, 3691, 1188, 1318, 11328, 3655, 9346, 2821, 10877, 1186, 2435, 29886, 1199, 1309, 16855, 26834, 10519, 1188, 1158, 31720, 1286, 1256, 29813, 1105, 4654, 1173, 1205, 3590, 1414, 22432, 1188, 19208, 1309, 1158, 4685, 1299, 1177, 7653, 2806, 1167, 6414, 121, 15236, 1334, 4048, 4639, 15828, 4047, 176, 29813, 7138, 1188, 1432, 2228, 1107, 1909, 23860, 1256, 23205, 1158, 4382, 3415, 119, 1158, 17484, 1186, 2076, 2658, 1798, 18517, 1810, 9516, 1909, 22348, 1167, 20861, 1318, 4077, 3620, 1125, 2714, 1724, 20534, 1186, 2674, 1105, 13503, 1317, 4859, 16807, 1642, 244, 9994, 462, 4574, 2674, 2307, 1118, 2806, 1527, 30667, 3333, 1173, 1205, 3590, 1414, 1606, 1856, 1574, 2462, 1517, 3133, 1317, 7078, 17624, 2585, 119, 18295, 1240, 14023, 3352, 4403, 27944, 1257, 7752, 1258, 6018, 1167, 27746, 2495, 1110, 249, 6968, 5968, 4521, 1257, 26622, 8220, 1190, 24425, 1538, 5844, 1257, 4148, 22238, 1202, 1376, 21469, 1170, 7808, 1253, 1614, 20028, 16003, 10263, 1206, 1222, 3595, 1130, 23332, 1186, 488, 124, 131, 130, 127, 2413, 1153, 1460, 1257, 22317, 19182, 11978, 25624, 4134, 1257, 22317, 1293, 1435, 1334, 5574, 1500, 1257, 8415, 1354, 1321, 172, 4339, 1250, 24738, 1125, 4052, 1257, 8006, 24842, 1125, 19210, 1165, 1109, 24023, 11565, 13164, 1128, 1257, 17392, 1167, 7207, 1323, 488, 126, 128, 8680, 1323, 488, 124, 119, 126, 130, 133, 124, 1323, 6218, 1691, 186, 2911, 1108, 1112, 1257, 12483, 27325, 18770, 1257, 488, 132, 123, 4826, 12534, 1125, 8969, 1257, 21678, 1323, 13776, 10995, 9323, 1167, 5474, 5532, 1354, 16718, 23159, 6417, 2720, 9665, 1186, 488, 124, 132, 127, 124, 15089, 27325, 2720, 15089, 8922, 1215, 26622, 8220, 1190, 15089, 1469, 1318, 7585, 17350, 1215, 22317, 19182, 11978, 15089, 25333, 2519, 6885, 16003, 10263, 1206, 1222, 3595, 1130, 15089, 2720, 1186, 7272, 1167, 7207, 8535, 17005, 2335, 7808, 2720, 1317, 9452, 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, 159, 16714, 28400, 9249, 11345, 9758, 16790, 2430, 3649, 18584, 28400, 9249, 1496, 5252, 1571, 24884, 1299, 1189, 29697, 1326, 1136, 5843, 12258, 1299, 3747, 9918, 1256, 1170, 9221, 1357, 4665, 1594, 1874, 121, 2932, 9221, 27215, 11080, 244, 1215, 14167, 5763, 179, 2198, 1186, 488, 124, 132, 130, 132, 1300, 1158, 4759, 1303, 1125, 1643, 5620, 173, 13476, 1458, 12001, 1186, 20400, 1125, 5552, 1125, 6844, 13053, 1120, 4496, 1188, 22488, 14765, 1125, 1909, 22784, 1104, 19227, 1125, 1594, 2077, 1208, 8693, 244, 3143, 1304, 31516, 1318, 5552, 1125, 2274, 21560, 1442, 2806, 1167, 2682, 11828, 2442, 1189, 1606, 1225, 12884, 4821, 2932, 9221, 1110, 1913, 5162, 1215, 18584, 28400, 9249, 119, 1300, 1318, 25671, 1125, 1222, 1662, 1153, 17397, 2982, 1313, 1282, 4910, 2846, 1125, 1539, 1118, 8486, 1175, 131, 172, 118, 116, 1188, 19769, 9314, 18898, 16714, 28400, 9249, 1299, 2445, 14238, 244, 1256, 1594, 3838, 1904, 4587, 1369, 3747, 1469, 1188, 1158, 12074, 10549, 8623, 141, 11741, 1424, 159, 16714, 28400, 9249, 8718, 1188, 29697, 1403, 1317, 4319, 1197, 4092, 488, 124, 132, 130, 123, 119, 1186, 22813, 6387, 12598, 3910, 2240, 1188, 19910, 1125, 1238, 2174, 2165, 1313, 1189, 3577, 1125, 6527, 14817, 23178, 462, 15896, 15365, 3713, 2567, 1909, 16518, 2846, 1285, 1167, 1207, 7809, 1199, 3828, 1160, 1186, 1675, 24990, 1527, 1281, 1386, 1136, 1148, 1188, 1189, 3838, 1125, 29697, 1326, 23933, 7542, 1207, 4092, 488, 124, 132, 130, 123, 7552, 28132, 1527, 1281, 1844, 31979, 1186, 488, 124, 132, 130, 132, 1856, 6058, 1170, 3151, 29697, 1326, 1136, 1188, 21342, 1318, 8401, 10387, 1303, 488, 131, 172, 1257, 5623, 12416, 4476, 119, 1723, 1299, 28593, 3155, 4290, 244, 9562, 1188, 1110, 4418, 1304, 196, 23350, 1388, 2951, 1158, 18908, 1282, 1129, 8426, 1160, 23416, 3910, 2240, 5909, 1408, 1125, 2320, 1167, 1198, 16714, 28400, 9249, 1299, 12675, 4781, 4353, 3747, 1256, 1909, 6048, 1304, 1129, 8426, 1160, 1167, 1125, 13790, 1125, 18122, 8370, 488, 124, 132, 132, 126, 119, 1527, 24254, 6311, 1188, 1158, 13778, 1227, 2854, 1188, 1266, 1278, 1377, 2683, 7745, 8661, 1125, 29697, 1326, 1424, 159, 16714, 28400, 9249, 1299, 9918, 1256, 1561, 9347, 1188, 1999, 15896, 1977, 3713, 3143, 1125, 21342, 1909, 16518, 2846, 1285, 3747, 1186, 22015, 1199, 11376, 23385, 1125, 1441, 7683, 1167, 1186, 1338, 1348, 6387, 1207, 17814, 26636, 1313, 1207, 18122, 2567, 1125, 1207, 9427, 1187, 12258, 1299, 2445, 9918, 1256, 2782, 15519, 1189, 3838, 21532, 1793, 20723, 1125, 17814, 1125, 29697, 1326, 28996, 8337, 1257, 1170, 1408, 9918, 1323, 11080, 244, 1215, 14167, 5763, 179, 2198, 1323, 4665, 1594, 1874, 1167, 1299, 13523, 1186, 18129, 1227, 2595, 30961, 1548, 2423, 13299, 1188, 24779, 1107, 1561, 6425, 1167, 1594, 2958, 1149, 30014, 20707, 1188, 20707, 1313, 1318, 1131, 1470, 1278, 7552, 2865, 6272, 16970, 2234, 29515, 31538, 4964, 2093, 11496, 1109, 2085, 119, 488, 130, 7792, 1186, 488, 124, 132, 131, 123, 119, 8446, 1188, 24460, 8582, 19991, 2356, 5623, 12416, 4476, 119, 488, 131, 1810, 1186, 488, 124, 132, 130, 132, 119, 8446, 1188, 31546, 1124, 1728, 2564, 121, 4060, 16518, 2846, 2985, 18799, 1303, 1734, 1198, 16714, 8425, 1370, 14489, 2750, 3171, 26520, 1186, 23390, 1567, 1167, 1288, 4018, 1370, 1382, 1189, 3838, 4393, 2497, 1256, 21396, 14023, 6417, 4134, 1424, 3867, 1135, 4680, 119, 488, 124, 132, 131, 132, 119, 1299, 1189, 21143, 1125, 18627, 5807, 146, 1292, 1289, 2091, 21284, 1207, 16868, 1953, 1125, 3171, 25539, 8840, 245, 9551, 2487, 1198, 16714, 28400, 9249, 11488, 1167, 20117, 20544, 11052, 14564, 24398, 1175, 1104, 3910, 2240, 28308, 2865, 1132, 2240, 2073, 27780, 4010, 1125, 12598, 3910, 2240, 1167, 1125, 25131, 12858, 2923, 5532, 1354, 16718, 2093, 146, 2965, 1326, 1136, 8403, 12534, 1125, 10544, 2081, 16625, 15604, 1175, 8257, 176, 6298, 116, 32001, 1424, 32000, 20036, 1853, 16714, 28400, 9249, 11345, 9758, 16790, 2430, 3649, 18584, 28400, 9249, 1496, 5252, 1571, 24884, 1299, 1189, 29697, 1326, 1136, 5843, 12258, 1299, 3747, 9918, 1256, 1170, 9221, 1357, 4665, 1594, 1874, 121, 2932, 9221, 27215, 11080, 244, 1215, 14167, 5763, 179, 2198, 1186, 488, 124, 132, 130, 132, 1300, 1158, 4759, 1303, 1125, 1643, 5620, 173, 13476, 1458, 12001, 1186, 20400, 1125, 5552, 1125, 6844, 13053, 1120, 4496, 1188, 22488, 14765, 1125, 1909, 22784, 1104, 19227, 1125, 1594, 2077, 1208, 8693, 244, 3143, 1304, 31516, 1318, 5552, 1125, 2274, 21560, 1442, 2806, 1167, 2682, 11828, 2442, 1189, 1606, 1225, 12884, 4821, 2932, 9221, 1110, 1913, 5162, 1215, 18584, 28400, 9249, 119, 1300, 1318, 25671, 1125, 1222, 1662, 1153, 17397, 2982, 1313, 1282, 4910, 2846, 1125, 1539, 1118, 8486, 1175, 131, 172, 118, 116, 1188, 19769, 9314, 18898, 16714, 28400, 9249, 1299, 2445, 14238, 244, 1256, 1594, 3838, 1904, 4587, 1369, 3747, 1469, 1188, 1158, 12074, 10549, 8623, 141, 11741, 1424, 159, 16714, 28400, 9249, 8718, 1188, 29697, 1403, 1317, 4319, 1197, 4092, 488, 124, 132, 130, 123, 119, 1186, 22813, 6387, 12598, 3910, 2240, 1188, 19910, 1125, 1238, 2174, 2165, 1313, 1189, 3577, 1125, 6527, 14817, 23178, 462, 15896, 15365, 3713, 2567, 1909, 16518, 2846, 1285, 1167, 1207, 7809, 1199, 3828, 1160, 1186, 1675, 24990, 1527, 1281, 1386, 1136, 1148, 1188, 1189, 3838, 1125, 29697, 1326, 23933, 7542, 1207, 4092, 488, 124, 132, 130, 123, 7552, 28132, 1527, 1281, 1844, 31979, 1186, 488, 124, 132, 130, 132, 1856, 6058, 1170, 3151, 29697, 1326, 1136, 1188, 21342, 1318, 8401, 10387, 1303, 488, 131, 172, 1257, 5623, 12416, 4476, 119, 1723, 1299, 28593, 3155, 4290, 244, 9562, 1188, 1110, 4418, 1304, 196, 23350, 1388, 2951, 1158, 18908, 1282, 1129, 8426, 1160, 23416, 3910, 2240, 5909, 1408, 1125, 2320, 1167, 1198, 16714, 28400, 9249, 1299, 12675, 4781, 4353, 3747, 1256, 1909, 6048, 1304, 1129, 8426, 1160, 1167, 1125, 13790, 1125, 18122, 8370, 488, 124, 132, 132, 126, 119, 1527, 24254, 6311, 1188, 1158, 13778, 1227, 2854, 1188, 1266, 1278, 1377, 2683, 7745, 8661, 1125, 29697, 1326, 1424, 159, 16714, 28400, 9249, 1299, 9918, 1256, 1561, 9347, 1188, 1999, 15896, 1977, 3713, 3143, 1125, 21342, 1909, 16518, 2846, 1285, 3747, 1186, 22015, 1199, 11376, 23385, 1125, 1441, 7683, 1167, 1186, 1338, 1348, 6387, 1207, 17814, 26636, 1313, 1207, 18122, 2567, 1125, 1207, 9427, 1187, 12258, 1299, 2445, 9918, 1256, 2782, 15519, 1189, 3838, 21532, 1793, 20723, 1125, 17814, 1125, 29697, 1326, 28996, 8337, 1257, 1170, 1408, 9918, 1323, 11080, 244, 1215, 14167, 5763, 179, 2198, 1323, 4665, 1594, 1874, 1167, 1299, 13523, 1186, 18129, 1227, 2595, 30961, 1548, 2423, 13299, 1188, 24779, 1107, 1561, 6425, 1167, 1594, 2958, 1149, 30014, 20707, 1188, 20707, 1313, 1318, 1131, 1470, 1278, 7552, 2865, 6272, 16970, 2234, 29515, 31538, 4964, 2093, 11496, 1109, 2085, 119, 488, 130, 7792, 1186, 488, 124, 132, 131, 123, 119, 8446, 1188, 24460, 8582, 19991, 2356, 5623, 12416, 4476, 119, 488, 131, 1810, 1186, 488, 124, 132, 130, 132, 119, 8446, 1188, 31546, 1124, 1728, 2564, 121, 4060, 16518, 2846, 2985, 18799, 1303, 1734, 1198, 16714, 8425, 1370, 14489, 2750, 3171, 26520, 1186, 23390, 1567, 1167, 1288, 4018, 1370, 1382, 1189, 3838, 4393, 2497, 1256, 21396, 14023, 6417, 4134, 1424, 3867, 1135, 4680, 119, 488, 124, 132, 131, 132, 119, 1299, 1189, 21143, 1125, 18627, 5807, 146, 1292, 1289, 2091, 21284, 1207, 16868, 1953, 1125, 3171, 25539, 8840, 245, 9551, 2487, 1198, 16714, 28400, 9249, 11488, 1167, 20117, 20544, 11052, 14564, 24398, 1175, 1104, 3910, 2240, 28308, 2865, 1132, 2240, 2073, 27780, 4010, 1125, 12598, 3910, 2240, 1167, 1125, 25131, 12858, 2923, 5532, 1354, 16718, 2093, 146, 2965, 1326, 1136, 8403, 12534, 1125, 10544, 2081, 16625, 15604, 1175, 8257, 176, 6298, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1853, 16714, 28400, 9249, 11345, 9758, 16790, 2430, 3649, 18584, 28400, 9249, 1496, 5252, 1571, 24884, 1299, 1189, 29697, 1326, 1136, 5843, 12258, 1299, 3747, 9918, 1256, 1170, 9221, 1357, 4665, 1594, 1874, 121, 2932, 9221, 27215, 11080, 244, 1215, 14167, 5763, 179, 2198, 1186, 488, 124, 132, 130, 132, 1300, 1158, 4759, 1303, 1125, 1643, 5620, 173, 13476, 1458, 12001, 1186, 20400, 1125, 5552, 1125, 6844, 13053, 1120, 4496, 1188, 22488, 14765, 1125, 1909, 22784, 1104, 19227, 1125, 1594, 2077, 1208, 8693, 244, 3143, 1304, 31516, 1318, 5552, 1125, 2274, 21560, 1442, 2806, 1167, 2682, 11828, 2442, 1189, 1606, 1225, 12884, 4821, 2932, 9221, 1110, 1913, 5162, 1215, 18584, 28400, 9249, 119, 1300, 1318, 25671, 1125, 1222, 1662, 1153, 17397, 2982, 1313, 1282, 4910, 2846, 1125, 1539, 1118, 8486, 1175, 131, 172, 118, 116, 1188, 19769, 9314, 18898, 16714, 28400, 9249, 1299, 2445, 14238, 244, 1256, 1594, 3838, 1904, 4587, 1369, 3747, 1469, 1188, 1158, 12074, 10549, 8623, 141, 11741, 1424, 159, 16714, 28400, 9249, 8718, 1188, 29697, 1403, 1317, 4319, 1197, 4092, 488, 124, 132, 130, 123, 119, 1186, 22813, 6387, 12598, 3910, 2240, 1188, 19910, 1125, 1238, 2174, 2165, 1313, 1189, 3577, 1125, 6527, 14817, 23178, 462, 15896, 15365, 3713, 2567, 1909, 16518, 2846, 1285, 1167, 1207, 7809, 1199, 3828, 1160, 1186, 1675, 24990, 1527, 1281, 1386, 1136, 1148, 1188, 1189, 3838, 1125, 29697, 1326, 23933, 7542, 1207, 4092, 488, 124, 132, 130, 123, 7552, 28132, 1527, 1281, 1844, 31979, 1186, 488, 124, 132, 130, 132, 1856, 6058, 1170, 3151, 29697, 1326, 1136, 1188, 21342, 1318, 8401, 10387, 1303, 488, 131, 172, 1257, 5623, 12416, 4476, 119, 1723, 1299, 28593, 3155, 4290, 244, 9562, 1188, 1110, 4418, 1304, 196, 23350, 1388, 2951, 1158, 18908, 1282, 1129, 8426, 1160, 23416, 3910, 2240, 5909, 1408, 1125, 2320, 1167, 1198, 16714, 28400, 9249, 1299, 12675, 4781, 4353, 3747, 1256, 1909, 6048, 1304, 1129, 8426, 1160, 1167, 1125, 13790, 1125, 18122, 8370, 488, 124, 132, 132, 126, 119, 1527, 24254, 6311, 1188, 1158, 13778, 1227, 2854, 1188, 1266, 1278, 1377, 2683, 7745, 8661, 1125, 29697, 1326, 1424, 159, 16714, 28400, 9249, 1299, 9918, 1256, 1561, 9347, 1188, 1999, 15896, 1977, 3713, 3143, 1125, 21342, 1909, 16518, 2846, 1285, 3747, 1186, 22015, 1199, 11376, 23385, 1125, 1441, 7683, 1167, 1186, 1338, 1348, 6387, 1207, 17814, 26636, 1313, 1207, 18122, 2567, 1125, 1207, 9427, 1187, 12258, 1299, 2445, 9918, 1256, 2782, 15519, 1189, 3838, 21532, 1793, 20723, 1125, 17814, 1125, 29697, 1326, 28996, 8337, 1257, 1170, 1408, 9918, 1323, 11080, 244, 1215, 14167, 5763, 179, 2198, 1323, 4665, 1594, 1874, 1167, 1299, 13523, 1186, 18129, 1227, 2595, 30961, 1548, 2423, 13299, 1188, 24779, 1107, 1561, 6425, 1167, 1594, 2958, 1149, 30014, 20707, 1188, 20707, 1313, 1318, 1131, 1470, 1278, 7552, 2865, 6272, 16970, 2234, 29515, 31538, 4964, 2093, 11496, 1109, 2085, 119, 488, 130, 7792, 1186, 488, 124, 132, 131, 123, 119, 8446, 1188, 24460, 8582, 19991, 2356, 5623, 12416, 4476, 119, 488, 131, 1810, 1186, 488, 124, 132, 130, 132, 119, 8446, 1188, 31546, 1124, 1728, 2564, 121, 4060, 16518, 2846, 2985, 18799, 1303, 1734, 1198, 16714, 8425, 1370, 14489, 2750, 3171, 26520, 1186, 23390, 1567, 1167, 1288, 4018, 1370, 1382, 1189, 3838, 4393, 2497, 1256, 21396, 14023, 6417, 4134, 1424, 3867, 1135, 4680, 119, 488, 124, 132, 131, 132, 119, 1299, 1189, 21143, 1125, 18627, 5807, 146, 1292, 1289, 2091, 21284, 1207, 16868, 1953, 1125, 3171, 25539, 8840, 245, 9551, 2487, 1198, 16714, 28400, 9249, 11488, 1167, 20117, 20544, 11052, 14564, 24398, 1175, 1104, 3910, 2240, 28308, 2865, 1132, 2240, 2073, 27780, 4010, 1125, 12598, 3910, 2240, 1167, 1125, 25131, 12858, 2923, 5532, 1354, 16718, 2093, 146, 2965, 1326, 1136, 8403, 12534, 1125, 10544, 2081, 16625, 15604, 1175, 8257, 176, 6298, 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, 147, 3340, 1237, 1137, 3282, 14738, 1274, 12581, 18163, 3340, 1237, 1137, 1214, 13254, 7352, 1299, 1318, 16074, 1125, 1127, 6026, 1104, 7184, 3501, 1167, 1455, 1105, 2137, 1125, 1158, 4446, 1197, 1306, 3340, 1237, 22579, 1431, 172, 2596, 4060, 16074, 7925, 1960, 1197, 24429, 1138, 10483, 2137, 1299, 14336, 4018, 1303, 1300, 9933, 1125, 4428, 2035, 1120, 1479, 1450, 6973, 7885, 10599, 10035, 8188, 7928, 22066, 4870, 13006, 1299, 28359, 1606, 1306, 3340, 1237, 1137, 1214, 13254, 2009, 1524, 1215, 1207, 5371, 3967, 19101, 25715, 1606, 2478, 11769, 1274, 1167, 1272, 20307, 1524, 1215, 1207, 5371, 3967, 26561, 2621, 3157, 3807, 1167, 1606, 14738, 1274, 1176, 2053, 3179, 1127, 3377, 1524, 1215, 1207, 7290, 3157, 3807, 28741, 13699, 12657, 4058, 12928, 172, 7099, 29523, 1189, 6505, 1143, 14216, 2406, 119, 28991, 7008, 2079, 1170, 6505, 11725, 1145, 7268, 1362, 10293, 7268, 119, 1469, 1197, 1111, 1205, 1104, 1167, 18936, 10293, 237, 2931, 3651, 18936, 5906, 23131, 4701, 488, 128, 5019, 119, 1557, 14627, 1215, 1158, 11557, 1125, 16541, 2806, 1188, 3862, 1227, 8007, 1125, 1158, 12856, 1125, 9911, 24339, 3651, 1360, 25977, 1264, 4437, 3027, 1281, 1830, 1199, 1186, 3171, 1754, 1301, 1346, 1238, 1915, 2063, 21518, 19910, 2519, 21351, 1186, 6036, 1199, 1207, 13895, 1323, 1189, 3631, 4041, 6058, 2513, 3219, 1894, 3798, 2932, 4334, 1125, 11557, 2856, 1188, 18740, 13006, 1125, 1606, 20324, 1524, 1300, 5610, 1127, 6026, 1104, 1167, 1300, 6045, 1213, 1207, 1275, 2266, 1120, 23672, 1201, 1357, 2368, 2120, 9741, 1129, 1300, 2399, 8273, 2119, 1318, 16074, 1304, 11483, 119, 14333, 1199, 1300, 1197, 16651, 1332, 3016, 1188, 2810, 1153, 13397, 1186, 6141, 1186, 23248, 4218, 121, 3450, 4438, 4701, 1197, 21715, 7343, 28944, 1300, 1170, 17327, 19430, 6387, 1304, 9306, 3525, 29146, 4541, 1104, 1362, 31019, 28856, 6487, 1317, 1335, 5242, 1207, 12267, 1508, 1408, 7945, 1469, 3171, 13895, 1904, 4169, 119, 3042, 25306, 8030, 8705, 1615, 1154, 1496, 1158, 21351, 1299, 1408, 5715, 24962, 174, 4058, 1424, 141, 1354, 1309, 3034, 1460, 1125, 1158, 13996, 1138, 10483, 3701, 1816, 26947, 5209, 1408, 1317, 7758, 1189, 30344, 2435, 9153, 1199, 1186, 30804, 119, 1300, 1197, 16651, 23672, 2996, 3767, 17664, 1215, 8675, 3702, 9207, 8980, 1306, 1307, 1119, 1318, 4356, 4482, 1183, 1460, 1188, 6597, 23861, 12272, 122, 9588, 1495, 2719, 3377, 1175, 1955, 25370, 6512, 1857, 3157, 196, 1883, 116, 1299, 8833, 1849, 2290, 1318, 1526, 1273, 1303, 1644, 1356, 2537, 1106, 21667, 1469, 4701, 1197, 21715, 1125, 26947, 26351, 13147, 14738, 1274, 12581, 1202, 3909, 5945, 3282, 9233, 1112, 1620, 180, 1167, 1202, 25096, 1255, 2669, 18618, 3926, 17770, 1462, 5068, 1548, 4367, 3781, 1125, 15885, 1125, 1158, 10891, 1162, 1317, 21144, 1110, 12688, 1318, 1125, 1909, 12555, 10891, 2137, 1175, 2462, 1202, 1314, 7439, 4991, 1325, 124, 131, 116, 6824, 1109, 1153, 2347, 183, 10819, 4720, 7002, 3340, 1237, 1137, 3282, 14738, 1274, 1462, 10920, 2621, 109, 5867, 7269, 1160, 1188, 1113, 1554, 2347, 183, 10819, 1312, 1167, 1188, 1306, 3340, 1237, 1137, 3282, 14738, 1274, 1462, 1496, 7349, 1199, 30842, 1125, 1816, 26947, 1313, 3371, 2609, 1180, 20744, 1388, 4298, 2768, 11262, 1148, 1125, 1288, 1205, 1965, 2399, 22500, 1188, 9396, 1107, 1170, 2429, 1227, 14389, 119, 7037, 3747, 17283, 1125, 5087, 22330, 3511, 6381, 1221, 2805, 2290, 1158, 20520, 1125, 24272, 2585, 1207, 2674, 26376, 1115, 2950, 1285, 1115, 1869, 195, 1207, 2861, 16544, 1256, 18449, 10022, 3278, 30079, 31116, 2072, 26115, 1207, 16651, 1125, 1282, 13088, 1231, 7684, 3415, 1215, 1207, 23965, 6205, 1429, 8509, 10995, 1424, 15539, 1299, 2205, 28279, 3955, 1313, 2962, 1207, 24429, 1138, 10483, 2137, 1125, 4428, 2035, 1120, 1479, 1450, 8030, 121, 3450, 1299, 2028, 2537, 5428, 1303, 1186, 17612, 8903, 2620, 2068, 25019, 1167, 1317, 17664, 2585, 2399, 1299, 4701, 18740, 13006, 1125, 26947, 1158, 1408, 29803, 12372, 3450, 27666, 2072, 1313, 1158, 6233, 3731, 120, 4691, 1960, 1125, 1111, 1615, 1154, 1167, 1408, 1317, 7758, 1188, 1197, 1294, 19192, 1408, 7513, 4321, 1215, 8675, 1313, 1170, 6973, 7892, 2620, 1313, 14097, 12925, 1173, 1507, 192, 3100, 12094, 119, 6801, 2620, 10942, 14050, 1819, 2163, 1167, 14097, 12925, 1125, 17289, 28975, 1653, 2605, 12945, 5650, 3557, 1318, 16074, 7925, 1960, 1125, 1158, 13996, 2382, 1740, 1105, 3556, 1388, 11516, 1430, 22066, 4870, 13006, 1299, 9979, 1984, 10683, 1303, 1856, 11540, 1125, 11401, 1215, 1207, 14462, 4195, 1362, 1256, 1197, 30955, 2164, 11185, 1457, 2502, 1186, 14857, 1197, 2406, 27007, 1256, 1835, 19568, 1207, 12532, 1186, 20963, 121, 2502, 1282, 23036, 7008, 2743, 1256, 1158, 12705, 1197, 12532, 1167, 18708, 19509, 2462, 5596, 2399, 1110, 1913, 13409, 1186, 20520, 3391, 4804, 9396, 2009, 1300, 1170, 2429, 1125, 7877, 8585, 1277, 7216, 2068, 25019, 1167, 1313, 1170, 8030, 1227, 6372, 116, 1167, 2399, 1299, 2743, 13409, 1256, 1218, 2014, 1107, 1207, 13165, 1835, 1207, 20593, 1554, 1197, 7078, 12828, 1125, 20593, 1554, 30079, 1110, 1197, 20006, 4690, 2687, 1183, 24458, 6542, 1167, 7032, 29901, 1197, 26087, 3093, 1151, 2052, 1255, 1121, 2137, 24890, 7364, 5825, 1424, 147, 3340, 1237, 1137, 3282, 14738, 1274, 1462, 20317, 1194, 144, 2145, 13006, 1125, 24375, 3157, 196, 1883, 29610, 11246, 13667, 1857, 3157, 196, 3113, 32001, 1424, 32000, 20036, 3050, 3340, 1237, 1137, 3282, 14738, 1274, 12581, 18163, 3340, 1237, 1137, 1214, 13254, 7352, 1299, 1318, 16074, 1125, 1127, 6026, 1104, 7184, 3501, 1167, 1455, 1105, 2137, 1125, 1158, 4446, 1197, 1306, 3340, 1237, 22579, 1431, 172, 2596, 4060, 16074, 7925, 1960, 1197, 24429, 1138, 10483, 2137, 1299, 14336, 4018, 1303, 1300, 9933, 1125, 4428, 2035, 1120, 1479, 1450, 6973, 7885, 10599, 10035, 8188, 7928, 22066, 4870, 13006, 1299, 28359, 1606, 1306, 3340, 1237, 1137, 1214, 13254, 2009, 1524, 1215, 1207, 5371, 3967, 19101, 25715, 1606, 2478, 11769, 1274, 1167, 1272, 20307, 1524, 1215, 1207, 5371, 3967, 26561, 2621, 3157, 3807, 1167, 1606, 14738, 1274, 1176, 2053, 3179, 1127, 3377, 1524, 1215, 1207, 7290, 3157, 3807, 28741, 13699, 12657, 4058, 12928, 172, 7099, 29523, 1189, 6505, 1143, 14216, 2406, 119, 28991, 7008, 2079, 1170, 6505, 11725, 1145, 7268, 1362, 10293, 7268, 119, 1469, 1197, 1111, 1205, 1104, 1167, 18936, 10293, 237, 2931, 3651, 18936, 5906, 23131, 4701, 488, 128, 5019, 119, 1557, 14627, 1215, 1158, 11557, 1125, 16541, 2806, 1188, 3862, 1227, 8007, 1125, 1158, 12856, 1125, 9911, 24339, 3651, 1360, 25977, 1264, 4437, 3027, 1281, 1830, 1199, 1186, 3171, 1754, 1301, 1346, 1238, 1915, 2063, 21518, 19910, 2519, 21351, 1186, 6036, 1199, 1207, 13895, 1323, 1189, 3631, 4041, 6058, 2513, 3219, 1894, 3798, 2932, 4334, 1125, 11557, 2856, 1188, 18740, 13006, 1125, 1606, 20324, 1524, 1300, 5610, 1127, 6026, 1104, 1167, 1300, 6045, 1213, 1207, 1275, 2266, 1120, 23672, 1201, 1357, 2368, 2120, 9741, 1129, 1300, 2399, 8273, 2119, 1318, 16074, 1304, 11483, 119, 14333, 1199, 1300, 1197, 16651, 1332, 3016, 1188, 2810, 1153, 13397, 1186, 6141, 1186, 23248, 4218, 121, 3450, 4438, 4701, 1197, 21715, 7343, 28944, 1300, 1170, 17327, 19430, 6387, 1304, 9306, 3525, 29146, 4541, 1104, 1362, 31019, 28856, 6487, 1317, 1335, 5242, 1207, 12267, 1508, 1408, 7945, 1469, 3171, 13895, 1904, 4169, 119, 3042, 25306, 8030, 8705, 1615, 1154, 1496, 1158, 21351, 1299, 1408, 5715, 24962, 174, 4058, 1424, 141, 1354, 1309, 3034, 1460, 1125, 1158, 13996, 1138, 10483, 3701, 1816, 26947, 5209, 1408, 1317, 7758, 1189, 30344, 2435, 9153, 1199, 1186, 30804, 119, 1300, 1197, 16651, 23672, 2996, 3767, 17664, 1215, 8675, 3702, 9207, 8980, 1306, 1307, 1119, 1318, 4356, 4482, 1183, 1460, 1188, 6597, 23861, 12272, 122, 9588, 1495, 2719, 3377, 1175, 1955, 25370, 6512, 1857, 3157, 196, 1883, 116, 1299, 8833, 1849, 2290, 1318, 1526, 1273, 1303, 1644, 1356, 2537, 1106, 21667, 1469, 4701, 1197, 21715, 1125, 26947, 26351, 13147, 14738, 1274, 12581, 1202, 3909, 5945, 3282, 9233, 1112, 1620, 180, 1167, 1202, 25096, 1255, 2669, 18618, 3926, 17770, 1462, 5068, 1548, 4367, 3781, 1125, 15885, 1125, 1158, 10891, 1162, 1317, 21144, 1110, 12688, 1318, 1125, 1909, 12555, 10891, 2137, 1175, 2462, 1202, 1314, 7439, 4991, 1325, 124, 131, 116, 6824, 1109, 1153, 2347, 183, 10819, 4720, 7002, 3340, 1237, 1137, 3282, 14738, 1274, 1462, 10920, 2621, 109, 5867, 7269, 1160, 1188, 1113, 1554, 2347, 183, 10819, 1312, 1167, 1188, 1306, 3340, 1237, 1137, 3282, 14738, 1274, 1462, 1496, 7349, 1199, 30842, 1125, 1816, 26947, 1313, 3371, 2609, 1180, 20744, 1388, 4298, 2768, 11262, 1148, 1125, 1288, 1205, 1965, 2399, 22500, 1188, 9396, 1107, 1170, 2429, 1227, 14389, 119, 7037, 3747, 17283, 1125, 5087, 22330, 3511, 6381, 1221, 2805, 2290, 1158, 20520, 1125, 24272, 2585, 1207, 2674, 26376, 1115, 2950, 1285, 1115, 1869, 195, 1207, 2861, 16544, 1256, 18449, 10022, 3278, 30079, 31116, 2072, 26115, 1207, 16651, 1125, 1282, 13088, 1231, 7684, 3415, 1215, 1207, 23965, 6205, 1429, 8509, 10995, 1424, 15539, 1299, 2205, 28279, 3955, 1313, 2962, 1207, 24429, 1138, 10483, 2137, 1125, 4428, 2035, 1120, 1479, 1450, 8030, 121, 3450, 1299, 2028, 2537, 5428, 1303, 1186, 17612, 8903, 2620, 2068, 25019, 1167, 1317, 17664, 2585, 2399, 1299, 4701, 18740, 13006, 1125, 26947, 1158, 1408, 29803, 12372, 3450, 27666, 2072, 1313, 1158, 6233, 3731, 120, 4691, 1960, 1125, 1111, 1615, 1154, 1167, 1408, 1317, 7758, 1188, 1197, 1294, 19192, 1408, 7513, 4321, 1215, 8675, 1313, 1170, 6973, 7892, 2620, 1313, 14097, 12925, 1173, 1507, 192, 3100, 12094, 119, 6801, 2620, 10942, 14050, 1819, 2163, 1167, 14097, 12925, 1125, 17289, 28975, 1653, 2605, 12945, 5650, 3557, 1318, 16074, 7925, 1960, 1125, 1158, 13996, 2382, 1740, 1105, 3556, 1388, 11516, 1430, 22066, 4870, 13006, 1299, 9979, 1984, 10683, 1303, 1856, 11540, 1125, 11401, 1215, 1207, 14462, 4195, 1362, 1256, 1197, 30955, 2164, 11185, 1457, 2502, 1186, 14857, 1197, 2406, 27007, 1256, 1835, 19568, 1207, 12532, 1186, 20963, 121, 2502, 1282, 23036, 7008, 2743, 1256, 1158, 12705, 1197, 12532, 1167, 18708, 19509, 2462, 5596, 2399, 1110, 1913, 13409, 1186, 20520, 3391, 4804, 9396, 2009, 1300, 1170, 2429, 1125, 7877, 8585, 1277, 7216, 2068, 25019, 1167, 1313, 1170, 8030, 1227, 6372, 116, 1167, 2399, 1299, 2743, 13409, 1256, 1218, 2014, 1107, 1207, 13165, 1835, 1207, 20593, 1554, 1197, 7078, 12828, 1125, 20593, 1554, 30079, 1110, 1197, 20006, 4690, 2687, 1183, 24458, 6542, 1167, 7032, 29901, 1197, 26087, 3093, 1151, 2052, 1255, 1121, 2137, 24890, 7364, 5825, 1424, 147, 3340, 1237, 1137, 3282, 14738, 1274, 1462, 20317, 1194, 144, 2145, 13006, 1125, 24375, 3157, 196, 1883, 29610, 11246, 13667, 1857, 3157, 196, 3113, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3050, 3340, 1237, 1137, 3282, 14738, 1274, 12581, 18163, 3340, 1237, 1137, 1214, 13254, 7352, 1299, 1318, 16074, 1125, 1127, 6026, 1104, 7184, 3501, 1167, 1455, 1105, 2137, 1125, 1158, 4446, 1197, 1306, 3340, 1237, 22579, 1431, 172, 2596, 4060, 16074, 7925, 1960, 1197, 24429, 1138, 10483, 2137, 1299, 14336, 4018, 1303, 1300, 9933, 1125, 4428, 2035, 1120, 1479, 1450, 6973, 7885, 10599, 10035, 8188, 7928, 22066, 4870, 13006, 1299, 28359, 1606, 1306, 3340, 1237, 1137, 1214, 13254, 2009, 1524, 1215, 1207, 5371, 3967, 19101, 25715, 1606, 2478, 11769, 1274, 1167, 1272, 20307, 1524, 1215, 1207, 5371, 3967, 26561, 2621, 3157, 3807, 1167, 1606, 14738, 1274, 1176, 2053, 3179, 1127, 3377, 1524, 1215, 1207, 7290, 3157, 3807, 28741, 13699, 12657, 4058, 12928, 172, 7099, 29523, 1189, 6505, 1143, 14216, 2406, 119, 28991, 7008, 2079, 1170, 6505, 11725, 1145, 7268, 1362, 10293, 7268, 119, 1469, 1197, 1111, 1205, 1104, 1167, 18936, 10293, 237, 2931, 3651, 18936, 5906, 23131, 4701, 488, 128, 5019, 119, 1557, 14627, 1215, 1158, 11557, 1125, 16541, 2806, 1188, 3862, 1227, 8007, 1125, 1158, 12856, 1125, 9911, 24339, 3651, 1360, 25977, 1264, 4437, 3027, 1281, 1830, 1199, 1186, 3171, 1754, 1301, 1346, 1238, 1915, 2063, 21518, 19910, 2519, 21351, 1186, 6036, 1199, 1207, 13895, 1323, 1189, 3631, 4041, 6058, 2513, 3219, 1894, 3798, 2932, 4334, 1125, 11557, 2856, 1188, 18740, 13006, 1125, 1606, 20324, 1524, 1300, 5610, 1127, 6026, 1104, 1167, 1300, 6045, 1213, 1207, 1275, 2266, 1120, 23672, 1201, 1357, 2368, 2120, 9741, 1129, 1300, 2399, 8273, 2119, 1318, 16074, 1304, 11483, 119, 14333, 1199, 1300, 1197, 16651, 1332, 3016, 1188, 2810, 1153, 13397, 1186, 6141, 1186, 23248, 4218, 121, 3450, 4438, 4701, 1197, 21715, 7343, 28944, 1300, 1170, 17327, 19430, 6387, 1304, 9306, 3525, 29146, 4541, 1104, 1362, 31019, 28856, 6487, 1317, 1335, 5242, 1207, 12267, 1508, 1408, 7945, 1469, 3171, 13895, 1904, 4169, 119, 3042, 25306, 8030, 8705, 1615, 1154, 1496, 1158, 21351, 1299, 1408, 5715, 24962, 174, 4058, 1424, 141, 1354, 1309, 3034, 1460, 1125, 1158, 13996, 1138, 10483, 3701, 1816, 26947, 5209, 1408, 1317, 7758, 1189, 30344, 2435, 9153, 1199, 1186, 30804, 119, 1300, 1197, 16651, 23672, 2996, 3767, 17664, 1215, 8675, 3702, 9207, 8980, 1306, 1307, 1119, 1318, 4356, 4482, 1183, 1460, 1188, 6597, 23861, 12272, 122, 9588, 1495, 2719, 3377, 1175, 1955, 25370, 6512, 1857, 3157, 196, 1883, 116, 1299, 8833, 1849, 2290, 1318, 1526, 1273, 1303, 1644, 1356, 2537, 1106, 21667, 1469, 4701, 1197, 21715, 1125, 26947, 26351, 13147, 14738, 1274, 12581, 1202, 3909, 5945, 3282, 9233, 1112, 1620, 180, 1167, 1202, 25096, 1255, 2669, 18618, 3926, 17770, 1462, 5068, 1548, 4367, 3781, 1125, 15885, 1125, 1158, 10891, 1162, 1317, 21144, 1110, 12688, 1318, 1125, 1909, 12555, 10891, 2137, 1175, 2462, 1202, 1314, 7439, 4991, 1325, 124, 131, 116, 6824, 1109, 1153, 2347, 183, 10819, 4720, 7002, 3340, 1237, 1137, 3282, 14738, 1274, 1462, 10920, 2621, 109, 5867, 7269, 1160, 1188, 1113, 1554, 2347, 183, 10819, 1312, 1167, 1188, 1306, 3340, 1237, 1137, 3282, 14738, 1274, 1462, 1496, 7349, 1199, 30842, 1125, 1816, 26947, 1313, 3371, 2609, 1180, 20744, 1388, 4298, 2768, 11262, 1148, 1125, 1288, 1205, 1965, 2399, 22500, 1188, 9396, 1107, 1170, 2429, 1227, 14389, 119, 7037, 3747, 17283, 1125, 5087, 22330, 3511, 6381, 1221, 2805, 2290, 1158, 20520, 1125, 24272, 2585, 1207, 2674, 26376, 1115, 2950, 1285, 1115, 1869, 195, 1207, 2861, 16544, 1256, 18449, 10022, 3278, 30079, 31116, 2072, 26115, 1207, 16651, 1125, 1282, 13088, 1231, 7684, 3415, 1215, 1207, 23965, 6205, 1429, 8509, 10995, 1424, 15539, 1299, 2205, 28279, 3955, 1313, 2962, 1207, 24429, 1138, 10483, 2137, 1125, 4428, 2035, 1120, 1479, 1450, 8030, 121, 3450, 1299, 2028, 2537, 5428, 1303, 1186, 17612, 8903, 2620, 2068, 25019, 1167, 1317, 17664, 2585, 2399, 1299, 4701, 18740, 13006, 1125, 26947, 1158, 1408, 29803, 12372, 3450, 27666, 2072, 1313, 1158, 6233, 3731, 120, 4691, 1960, 1125, 1111, 1615, 1154, 1167, 1408, 1317, 7758, 1188, 1197, 1294, 19192, 1408, 7513, 4321, 1215, 8675, 1313, 1170, 6973, 7892, 2620, 1313, 14097, 12925, 1173, 1507, 192, 3100, 12094, 119, 6801, 2620, 10942, 14050, 1819, 2163, 1167, 14097, 12925, 1125, 17289, 28975, 1653, 2605, 12945, 5650, 3557, 1318, 16074, 7925, 1960, 1125, 1158, 13996, 2382, 1740, 1105, 3556, 1388, 11516, 1430, 22066, 4870, 13006, 1299, 9979, 1984, 10683, 1303, 1856, 11540, 1125, 11401, 1215, 1207, 14462, 4195, 1362, 1256, 1197, 30955, 2164, 11185, 1457, 2502, 1186, 14857, 1197, 2406, 27007, 1256, 1835, 19568, 1207, 12532, 1186, 20963, 121, 2502, 1282, 23036, 7008, 2743, 1256, 1158, 12705, 1197, 12532, 1167, 18708, 19509, 2462, 5596, 2399, 1110, 1913, 13409, 1186, 20520, 3391, 4804, 9396, 2009, 1300, 1170, 2429, 1125, 7877, 8585, 1277, 7216, 2068, 25019, 1167, 1313, 1170, 8030, 1227, 6372, 116, 1167, 2399, 1299, 2743, 13409, 1256, 1218, 2014, 1107, 1207, 13165, 1835, 1207, 20593, 1554, 1197, 7078, 12828, 1125, 20593, 1554, 30079, 1110, 1197, 20006, 4690, 2687, 1183, 24458, 6542, 1167, 7032, 29901, 1197, 26087, 3093, 1151, 2052, 1255, 1121, 2137, 24890, 7364, 5825, 1424, 147, 3340, 1237, 1137, 3282, 14738, 1274, 1462, 20317, 1194, 144, 2145, 13006, 1125, 24375, 3157, 196, 1883, 29610, 11246, 13667, 1857, 3157, 196, 3113, 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, 1248, 3879, 1334, 1299, 13787, 12904, 6668, 1188, 1158, 12943, 10567, 5761, 119, 15560, 1125, 27818, 1227, 6436, 1167, 1125, 27818, 1227, 7711, 119, 1736, 2065, 25246, 1125, 1282, 21377, 4371, 10710, 1167, 7676, 1188, 1158, 20201, 3699, 8157, 2733, 1467, 1167, 21091, 1136, 1186, 23445, 1227, 6436, 1188, 1643, 13168, 2576, 4722, 2552, 1167, 1188, 1248, 12069, 16788, 1313, 31395, 7572, 1378, 1204, 9071, 14231, 12662, 3915, 1248, 3879, 1334, 1110, 8922, 1197, 8787, 1188, 21455, 2801, 488, 124, 1202, 12957, 12898, 3441, 10584, 1767, 1186, 4199, 4654, 14301, 5031, 1125, 3370, 23189, 1300, 1170, 6436, 1167, 1207, 1597, 1636, 3907, 1764, 1835, 2802, 31490, 1167, 5430, 3194, 13441, 8370, 488, 125, 123, 124, 126, 119, 1527, 8718, 1189, 4055, 3523, 4024, 13320, 8370, 488, 125, 123, 124, 128, 119, 1527, 7354, 21091, 1136, 1256, 1170, 1865, 8878, 8820, 17220, 2165, 1408, 14429, 2391, 1125, 1158, 11609, 1227, 2854, 488, 125, 123, 124, 131, 119, 1527, 13300, 1188, 31395, 488, 125, 123, 179, 4981, 1300, 1165, 7083, 1297, 1653, 488, 125, 123, 124, 131, 119, 1527, 7354, 21091, 1136, 1186, 23445, 1227, 6436, 1256, 1248, 12069, 10710, 121, 11027, 488, 125, 123, 124, 131, 119, 1527, 1299, 21091, 1136, 1256, 1643, 13168, 2576, 4722, 2552, 12258, 5367, 7009, 1186, 488, 125, 123, 124, 129, 1189, 10005, 1125, 3370, 1188, 1282, 6953, 144, 1125, 2801, 1300, 1170, 6315, 1125, 1282, 15896, 12243, 1313, 1318, 4924, 1125, 7711, 5843, 12258, 1299, 13787, 12904, 6668, 1167, 1125, 7108, 1188, 1158, 12943, 10567, 5761, 1167, 10502, 1125, 3285, 1188, 21455, 2801, 488, 124, 1202, 12957, 12898, 3441, 10584, 1767, 1313, 1158, 12969, 17037, 7568, 1167, 6321, 1186, 23445, 29624, 13699, 1142, 27793, 13780, 3657, 3147, 488, 125, 123, 124, 129, 119, 1527, 21635, 1158, 20217, 1125, 31443, 19877, 9029, 1105, 1188, 30690, 30755, 1125, 488, 125, 123, 124, 130, 121, 3762, 1189, 3477, 1125, 2814, 4248, 20308, 2396, 1199, 1207, 6560, 3175, 8992, 2097, 1167, 5279, 11185, 4195, 1125, 30690, 30755, 488, 125, 123, 124, 130, 119, 1527, 1299, 14268, 1856, 1606, 1158, 1850, 6021, 4783, 4096, 7568, 1125, 31443, 19877, 9029, 1105, 1524, 8370, 488, 125, 123, 124, 130, 119, 1527, 7354, 11538, 7568, 1317, 15211, 3056, 23767, 1768, 21450, 1197, 7404, 4519, 1300, 27818, 1227, 6436, 1167, 1300, 1170, 4753, 8780, 1197, 8443, 13060, 31490, 8732, 1565, 1430, 106, 125, 123, 124, 127, 1257, 2576, 1416, 6668, 21898, 1303, 1215, 1170, 4981, 119, 1209, 6645, 1183, 2504, 5796, 1183, 7531, 7002, 192, 1494, 172, 1175, 1935, 3409, 1496, 21993, 1867, 4668, 6991, 106, 125, 123, 124, 128, 1257, 1165, 2900, 6433, 119, 1207, 11733, 13441, 21898, 1473, 1215, 1170, 4981, 119, 21993, 1233, 1568, 1132, 106, 125, 123, 124, 129, 1257, 10567, 17295, 7879, 119, 21993, 1233, 1568, 1132, 106, 125, 123, 124, 129, 1257, 13865, 1207, 8004, 190, 1317, 1663, 18798, 1823, 8004, 1234, 2567, 1158, 14773, 2071, 21993, 1548, 1233, 1404, 1125, 12436, 106, 125, 123, 124, 131, 1257, 1548, 4981, 3811, 9131, 16452, 1659, 1736, 1416, 1687, 1469, 10290, 7358, 1205, 3955, 21993, 1125, 6389, 4653, 106, 125, 123, 124, 132, 1257, 1808, 8407, 1212, 1227, 4981, 119, 21993, 8431, 1124, 106, 125, 123, 125, 124, 133, 4444, 1125, 3247, 1256, 1170, 4981, 1617, 119, 1254, 2527, 1125, 6389, 4653, 106, 125, 123, 125, 125, 133, 1548, 2511, 4981, 21588, 21993, 8431, 1124, 9323, 1167, 16828, 5825, 23435, 3300, 2038, 2720, 1227, 12136, 25525, 6298, 8156, 1186, 3201, 488, 124, 132, 131, 130, 5526, 24116, 1125, 15714, 2801, 1209, 1202, 12957, 12898, 1173, 10584, 1767, 32001, 1424, 32000, 20036, 1566, 3915, 1248, 3879, 1334, 1299, 13787, 12904, 6668, 1188, 1158, 12943, 10567, 5761, 119, 15560, 1125, 27818, 1227, 6436, 1167, 1125, 27818, 1227, 7711, 119, 1736, 2065, 25246, 1125, 1282, 21377, 4371, 10710, 1167, 7676, 1188, 1158, 20201, 3699, 8157, 2733, 1467, 1167, 21091, 1136, 1186, 23445, 1227, 6436, 1188, 1643, 13168, 2576, 4722, 2552, 1167, 1188, 1248, 12069, 16788, 1313, 31395, 7572, 1378, 1204, 9071, 14231, 12662, 3915, 1248, 3879, 1334, 1110, 8922, 1197, 8787, 1188, 21455, 2801, 488, 124, 1202, 12957, 12898, 3441, 10584, 1767, 1186, 4199, 4654, 14301, 5031, 1125, 3370, 23189, 1300, 1170, 6436, 1167, 1207, 1597, 1636, 3907, 1764, 1835, 2802, 31490, 1167, 5430, 3194, 13441, 8370, 488, 125, 123, 124, 126, 119, 1527, 8718, 1189, 4055, 3523, 4024, 13320, 8370, 488, 125, 123, 124, 128, 119, 1527, 7354, 21091, 1136, 1256, 1170, 1865, 8878, 8820, 17220, 2165, 1408, 14429, 2391, 1125, 1158, 11609, 1227, 2854, 488, 125, 123, 124, 131, 119, 1527, 13300, 1188, 31395, 488, 125, 123, 179, 4981, 1300, 1165, 7083, 1297, 1653, 488, 125, 123, 124, 131, 119, 1527, 7354, 21091, 1136, 1186, 23445, 1227, 6436, 1256, 1248, 12069, 10710, 121, 11027, 488, 125, 123, 124, 131, 119, 1527, 1299, 21091, 1136, 1256, 1643, 13168, 2576, 4722, 2552, 12258, 5367, 7009, 1186, 488, 125, 123, 124, 129, 1189, 10005, 1125, 3370, 1188, 1282, 6953, 144, 1125, 2801, 1300, 1170, 6315, 1125, 1282, 15896, 12243, 1313, 1318, 4924, 1125, 7711, 5843, 12258, 1299, 13787, 12904, 6668, 1167, 1125, 7108, 1188, 1158, 12943, 10567, 5761, 1167, 10502, 1125, 3285, 1188, 21455, 2801, 488, 124, 1202, 12957, 12898, 3441, 10584, 1767, 1313, 1158, 12969, 17037, 7568, 1167, 6321, 1186, 23445, 29624, 13699, 1142, 27793, 13780, 3657, 3147, 488, 125, 123, 124, 129, 119, 1527, 21635, 1158, 20217, 1125, 31443, 19877, 9029, 1105, 1188, 30690, 30755, 1125, 488, 125, 123, 124, 130, 121, 3762, 1189, 3477, 1125, 2814, 4248, 20308, 2396, 1199, 1207, 6560, 3175, 8992, 2097, 1167, 5279, 11185, 4195, 1125, 30690, 30755, 488, 125, 123, 124, 130, 119, 1527, 1299, 14268, 1856, 1606, 1158, 1850, 6021, 4783, 4096, 7568, 1125, 31443, 19877, 9029, 1105, 1524, 8370, 488, 125, 123, 124, 130, 119, 1527, 7354, 11538, 7568, 1317, 15211, 3056, 23767, 1768, 21450, 1197, 7404, 4519, 1300, 27818, 1227, 6436, 1167, 1300, 1170, 4753, 8780, 1197, 8443, 13060, 31490, 8732, 1565, 1430, 106, 125, 123, 124, 127, 1257, 2576, 1416, 6668, 21898, 1303, 1215, 1170, 4981, 119, 1209, 6645, 1183, 2504, 5796, 1183, 7531, 7002, 192, 1494, 172, 1175, 1935, 3409, 1496, 21993, 1867, 4668, 6991, 106, 125, 123, 124, 128, 1257, 1165, 2900, 6433, 119, 1207, 11733, 13441, 21898, 1473, 1215, 1170, 4981, 119, 21993, 1233, 1568, 1132, 106, 125, 123, 124, 129, 1257, 10567, 17295, 7879, 119, 21993, 1233, 1568, 1132, 106, 125, 123, 124, 129, 1257, 13865, 1207, 8004, 190, 1317, 1663, 18798, 1823, 8004, 1234, 2567, 1158, 14773, 2071, 21993, 1548, 1233, 1404, 1125, 12436, 106, 125, 123, 124, 131, 1257, 1548, 4981, 3811, 9131, 16452, 1659, 1736, 1416, 1687, 1469, 10290, 7358, 1205, 3955, 21993, 1125, 6389, 4653, 106, 125, 123, 124, 132, 1257, 1808, 8407, 1212, 1227, 4981, 119, 21993, 8431, 1124, 106, 125, 123, 125, 124, 133, 4444, 1125, 3247, 1256, 1170, 4981, 1617, 119, 1254, 2527, 1125, 6389, 4653, 106, 125, 123, 125, 125, 133, 1548, 2511, 4981, 21588, 21993, 8431, 1124, 9323, 1167, 16828, 5825, 23435, 3300, 2038, 2720, 1227, 12136, 25525, 6298, 8156, 1186, 3201, 488, 124, 132, 131, 130, 5526, 24116, 1125, 15714, 2801, 1209, 1202, 12957, 12898, 1173, 10584, 1767, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1248, 3879, 1334, 1299, 13787, 12904, 6668, 1188, 1158, 12943, 10567, 5761, 119, 15560, 1125, 27818, 1227, 6436, 1167, 1125, 27818, 1227, 7711, 119, 1736, 2065, 25246, 1125, 1282, 21377, 4371, 10710, 1167, 7676, 1188, 1158, 20201, 3699, 8157, 2733, 1467, 1167, 21091, 1136, 1186, 23445, 1227, 6436, 1188, 1643, 13168, 2576, 4722, 2552, 1167, 1188, 1248, 12069, 16788, 1313, 31395, 7572, 1378, 1204, 9071, 14231, 12662, 3915, 1248, 3879, 1334, 1110, 8922, 1197, 8787, 1188, 21455, 2801, 488, 124, 1202, 12957, 12898, 3441, 10584, 1767, 1186, 4199, 4654, 14301, 5031, 1125, 3370, 23189, 1300, 1170, 6436, 1167, 1207, 1597, 1636, 3907, 1764, 1835, 2802, 31490, 1167, 5430, 3194, 13441, 8370, 488, 125, 123, 124, 126, 119, 1527, 8718, 1189, 4055, 3523, 4024, 13320, 8370, 488, 125, 123, 124, 128, 119, 1527, 7354, 21091, 1136, 1256, 1170, 1865, 8878, 8820, 17220, 2165, 1408, 14429, 2391, 1125, 1158, 11609, 1227, 2854, 488, 125, 123, 124, 131, 119, 1527, 13300, 1188, 31395, 488, 125, 123, 179, 4981, 1300, 1165, 7083, 1297, 1653, 488, 125, 123, 124, 131, 119, 1527, 7354, 21091, 1136, 1186, 23445, 1227, 6436, 1256, 1248, 12069, 10710, 121, 11027, 488, 125, 123, 124, 131, 119, 1527, 1299, 21091, 1136, 1256, 1643, 13168, 2576, 4722, 2552, 12258, 5367, 7009, 1186, 488, 125, 123, 124, 129, 1189, 10005, 1125, 3370, 1188, 1282, 6953, 144, 1125, 2801, 1300, 1170, 6315, 1125, 1282, 15896, 12243, 1313, 1318, 4924, 1125, 7711, 5843, 12258, 1299, 13787, 12904, 6668, 1167, 1125, 7108, 1188, 1158, 12943, 10567, 5761, 1167, 10502, 1125, 3285, 1188, 21455, 2801, 488, 124, 1202, 12957, 12898, 3441, 10584, 1767, 1313, 1158, 12969, 17037, 7568, 1167, 6321, 1186, 23445, 29624, 13699, 1142, 27793, 13780, 3657, 3147, 488, 125, 123, 124, 129, 119, 1527, 21635, 1158, 20217, 1125, 31443, 19877, 9029, 1105, 1188, 30690, 30755, 1125, 488, 125, 123, 124, 130, 121, 3762, 1189, 3477, 1125, 2814, 4248, 20308, 2396, 1199, 1207, 6560, 3175, 8992, 2097, 1167, 5279, 11185, 4195, 1125, 30690, 30755, 488, 125, 123, 124, 130, 119, 1527, 1299, 14268, 1856, 1606, 1158, 1850, 6021, 4783, 4096, 7568, 1125, 31443, 19877, 9029, 1105, 1524, 8370, 488, 125, 123, 124, 130, 119, 1527, 7354, 11538, 7568, 1317, 15211, 3056, 23767, 1768, 21450, 1197, 7404, 4519, 1300, 27818, 1227, 6436, 1167, 1300, 1170, 4753, 8780, 1197, 8443, 13060, 31490, 8732, 1565, 1430, 106, 125, 123, 124, 127, 1257, 2576, 1416, 6668, 21898, 1303, 1215, 1170, 4981, 119, 1209, 6645, 1183, 2504, 5796, 1183, 7531, 7002, 192, 1494, 172, 1175, 1935, 3409, 1496, 21993, 1867, 4668, 6991, 106, 125, 123, 124, 128, 1257, 1165, 2900, 6433, 119, 1207, 11733, 13441, 21898, 1473, 1215, 1170, 4981, 119, 21993, 1233, 1568, 1132, 106, 125, 123, 124, 129, 1257, 10567, 17295, 7879, 119, 21993, 1233, 1568, 1132, 106, 125, 123, 124, 129, 1257, 13865, 1207, 8004, 190, 1317, 1663, 18798, 1823, 8004, 1234, 2567, 1158, 14773, 2071, 21993, 1548, 1233, 1404, 1125, 12436, 106, 125, 123, 124, 131, 1257, 1548, 4981, 3811, 9131, 16452, 1659, 1736, 1416, 1687, 1469, 10290, 7358, 1205, 3955, 21993, 1125, 6389, 4653, 106, 125, 123, 124, 132, 1257, 1808, 8407, 1212, 1227, 4981, 119, 21993, 8431, 1124, 106, 125, 123, 125, 124, 133, 4444, 1125, 3247, 1256, 1170, 4981, 1617, 119, 1254, 2527, 1125, 6389, 4653, 106, 125, 123, 125, 125, 133, 1548, 2511, 4981, 21588, 21993, 8431, 1124, 9323, 1167, 16828, 5825, 23435, 3300, 2038, 2720, 1227, 12136, 25525, 6298, 8156, 1186, 3201, 488, 124, 132, 131, 130, 5526, 24116, 1125, 15714, 2801, 1209, 1202, 12957, 12898, 1173, 10584, 1767, 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, 5820, 1200, 1199, 1608, 3123, 7216, 3131, 27793, 1257, 1734, 1164, 243, 1154, 3981, 190, 1200, 1199, 1608, 2007, 116, 1299, 1318, 5820, 1227, 4779, 10777, 1125, 14673, 119, 1186, 2315, 1388, 9748, 8150, 1214, 15624, 1874, 1125, 1158, 5820, 1200, 1199, 1608, 3123, 1299, 27747, 244, 1188, 1158, 1622, 1227, 17990, 24373, 4780, 1317, 8007, 1227, 11402, 25525, 6298, 1317, 1127, 1979, 1297, 4060, 1465, 16377, 2435, 6400, 1370, 1197, 1115, 1199, 1608, 11184, 26252, 24238, 1125, 1115, 1199, 1608, 1457, 6487, 14429, 1317, 3285, 1227, 26851, 19565, 1158, 5820, 2515, 172, 2445, 1197, 15351, 1186, 3598, 1469, 1170, 1691, 1573, 1450, 1125, 1158, 1222, 2733, 2240, 1667, 9993, 1257, 5820, 1125, 1158, 1222, 2733, 2240, 4880, 1142, 2466, 1227, 26851, 6298, 116, 1362, 5820, 1227, 1165, 1587, 10238, 1125, 1158, 1222, 2733, 2240, 1175, 1773, 1227, 26851, 6298, 1576, 3450, 5052, 1370, 1440, 4755, 1874, 1227, 30228, 1197, 3848, 1740, 1993, 1554, 1125, 1158, 1222, 2733, 2240, 1357, 1281, 5428, 1370, 1227, 5719, 3090, 1125, 1158, 5820, 121, 1653, 488, 124, 130, 132, 127, 119, 3672, 1158, 23608, 19832, 1158, 5820, 2985, 6334, 2658, 13754, 1303, 1856, 5820, 1125, 6433, 1575, 10645, 12907, 1186, 22107, 1188, 1158, 3837, 1125, 3281, 4853, 1108, 3366, 9505, 21258, 1303, 1125, 1440, 1874, 1186, 488, 124, 130, 132, 126, 20481, 2093, 17971, 17990, 24373, 4780, 1158, 5820, 1200, 1199, 1608, 3123, 9462, 1227, 6751, 2610, 1128, 1227, 18564, 6867, 2636, 121, 1643, 5820, 1138, 6993, 1189, 20631, 14614, 1105, 6676, 244, 1215, 1158, 5820, 1227, 18564, 6867, 2636, 1175, 1551, 3858, 8466, 1849, 1125, 1158, 1306, 5738, 120, 1541, 3486, 186, 10749, 116, 1167, 1158, 5820, 1200, 1199, 1608, 3123, 1323, 1282, 1551, 3858, 2320, 1227, 18564, 6488, 176, 3299, 2551, 18884, 3042, 12946, 6604, 5719, 1362, 7965, 1207, 14855, 2004, 2774, 1197, 29318, 1357, 2368, 1630, 18331, 5176, 1541, 1138, 2683, 1104, 1125, 1158, 9491, 1767, 121, 3767, 1734, 2462, 1157, 1125, 1158, 5820, 1227, 18564, 6867, 15828, 1125, 1158, 5820, 1197, 1165, 1261, 1140, 11184, 1125, 1158, 5820, 1202, 2839, 1150, 1333, 2805, 1167, 1125, 1158, 5820, 1125, 1158, 2168, 1142, 1122, 1175, 1551, 3858, 5820, 1125, 7360, 197, 1496, 1158, 5820, 1197, 1200, 1199, 1608, 3123, 1139, 6146, 2519, 5715, 13571, 17874, 1856, 1158, 2320, 1227, 18564, 6867, 2636, 1362, 2320, 1125, 1158, 14671, 1378, 5264, 7932, 12161, 17448, 11402, 176, 1167, 11402, 25525, 4118, 174, 5899, 2399, 1299, 2774, 1189, 3601, 1125, 9251, 1835, 1207, 2069, 13587, 190, 1357, 4759, 1129, 1158, 9491, 20378, 18564, 6867, 2636, 1167, 13587, 1125, 1158, 1222, 2733, 29476, 4511, 1816, 3391, 19108, 1207, 26252, 1251, 1508, 5087, 119, 8105, 1207, 1115, 1199, 1608, 25941, 2502, 31674, 11103, 31608, 1125, 3171, 4634, 1125, 21524, 1286, 1919, 183, 1212, 8012, 1186, 6564, 1158, 4446, 14609, 183, 184, 20671, 1357, 31642, 1317, 3285, 1227, 11402, 25525, 6298, 2962, 1207, 14855, 1227, 5719, 1299, 1125, 1158, 5820, 1167, 1844, 5946, 3932, 4428, 7863, 14609, 183, 184, 3123, 10803, 5820, 7171, 11103, 1125, 1594, 11677, 1188, 3862, 1227, 11402, 3463, 176, 6298, 121, 3767, 11402, 31549, 6298, 1597, 193, 7059, 1197, 1809, 5595, 14171, 1104, 1257, 1158, 17598, 1197, 13713, 13587, 2353, 18564, 6867, 2636, 1167, 13587, 1125, 1158, 1222, 2733, 2240, 2353, 1167, 1282, 1519, 19824, 1227, 18564, 6488, 176, 3299, 119, 1723, 2072, 1170, 1466, 1159, 1160, 1125, 1158, 2320, 1227, 18564, 6488, 176, 3299, 19398, 2094, 1129, 13288, 1158, 8215, 1125, 1158, 5820, 121, 11151, 1309, 1158, 5820, 1299, 1675, 1481, 1303, 1125, 2797, 1158, 3247, 1335, 5242, 1895, 1715, 1303, 1215, 13680, 9495, 1125, 1158, 3643, 13571, 1158, 3453, 3247, 1227, 5719, 1362, 1182, 1299, 7723, 1303, 1215, 1207, 9462, 2339, 1197, 14855, 1125, 1816, 2076, 2320, 1175, 1551, 6646, 488, 1188, 488, 130, 2320, 1227, 18564, 6488, 176, 3299, 1496, 13826, 1104, 1835, 488, 124, 129, 129, 126, 1167, 488, 124, 129, 131, 131, 121, 1643, 4971, 1227, 1179, 1558, 1125, 1158, 1222, 2733, 12846, 1186, 488, 124, 130, 130, 130, 119, 4723, 4567, 1158, 11523, 1125, 1158, 5820, 1257, 1158, 9640, 3247, 1227, 5719, 1362, 1182, 1299, 7723, 1303, 1215, 1207, 9462, 2339, 1197, 14855, 1227, 1179, 1558, 1175, 1551, 6646, 488, 125, 1167, 488, 127, 1179, 1558, 1125, 1158, 1222, 2733, 2240, 4023, 9688, 19528, 5820, 1200, 1199, 1608, 3123, 1299, 1318, 8401, 5956, 10019, 1313, 1170, 29703, 1415, 1125, 14673, 9186, 1125, 488, 124, 130, 128, 22895, 3450, 1139, 6146, 1125, 1158, 2320, 1227, 18564, 6488, 176, 3299, 121, 7560, 1985, 1160, 1754, 1150, 6196, 1561, 30189, 4249, 1309, 1125, 488, 129, 1127, 1317, 8007, 1125, 1158, 5820, 121, 3450, 2368, 6533, 1849, 2079, 1170, 20449, 13469, 1167, 1281, 20235, 1317, 3664, 25989, 1125, 1158, 5820, 1227, 21949, 1183, 23460, 186, 1429, 7120, 1473, 19528, 5820, 1200, 1199, 1608, 3123, 6666, 1207, 18122, 6441, 1346, 1313, 14439, 1197, 26985, 3664, 1470, 1701, 8623, 13063, 1227, 18564, 6488, 176, 3299, 106, 18259, 1227, 21949, 1183, 9323, 1167, 20117, 2072, 17994, 2093, 26045, 1539, 1132, 29428, 1606, 14124, 1197, 20102, 1125, 14673, 3133, 23789, 3327, 1125, 31805, 1197, 10850, 1167, 1233, 1717, 4101, 1130, 2931, 1125, 14673, 119, 1424, 119, 19911, 1352, 9064, 14673, 119, 488, 124, 132, 124, 131, 119, 9009, 6780, 5308, 3939, 29749, 1197, 20102, 1125, 14673, 119, 488, 125, 3035, 3145, 1253, 5108, 7829, 3100, 14673, 119, 488, 124, 132, 131, 132, 13374, 11052, 2093, 12253, 1197, 18122, 1125, 14673, 106, 2722, 1124, 4688, 17734, 1731, 5532, 1199, 1608, 3123, 7141, 1124, 4688, 14673, 17734, 1731, 1489, 1199, 1608, 1374, 1104, 114, 32001, 1424, 32000, 20036, 2895, 5820, 1200, 1199, 1608, 3123, 7216, 3131, 27793, 1257, 1734, 1164, 243, 1154, 3981, 190, 1200, 1199, 1608, 2007, 116, 1299, 1318, 5820, 1227, 4779, 10777, 1125, 14673, 119, 1186, 2315, 1388, 9748, 8150, 1214, 15624, 1874, 1125, 1158, 5820, 1200, 1199, 1608, 3123, 1299, 27747, 244, 1188, 1158, 1622, 1227, 17990, 24373, 4780, 1317, 8007, 1227, 11402, 25525, 6298, 1317, 1127, 1979, 1297, 4060, 1465, 16377, 2435, 6400, 1370, 1197, 1115, 1199, 1608, 11184, 26252, 24238, 1125, 1115, 1199, 1608, 1457, 6487, 14429, 1317, 3285, 1227, 26851, 19565, 1158, 5820, 2515, 172, 2445, 1197, 15351, 1186, 3598, 1469, 1170, 1691, 1573, 1450, 1125, 1158, 1222, 2733, 2240, 1667, 9993, 1257, 5820, 1125, 1158, 1222, 2733, 2240, 4880, 1142, 2466, 1227, 26851, 6298, 116, 1362, 5820, 1227, 1165, 1587, 10238, 1125, 1158, 1222, 2733, 2240, 1175, 1773, 1227, 26851, 6298, 1576, 3450, 5052, 1370, 1440, 4755, 1874, 1227, 30228, 1197, 3848, 1740, 1993, 1554, 1125, 1158, 1222, 2733, 2240, 1357, 1281, 5428, 1370, 1227, 5719, 3090, 1125, 1158, 5820, 121, 1653, 488, 124, 130, 132, 127, 119, 3672, 1158, 23608, 19832, 1158, 5820, 2985, 6334, 2658, 13754, 1303, 1856, 5820, 1125, 6433, 1575, 10645, 12907, 1186, 22107, 1188, 1158, 3837, 1125, 3281, 4853, 1108, 3366, 9505, 21258, 1303, 1125, 1440, 1874, 1186, 488, 124, 130, 132, 126, 20481, 2093, 17971, 17990, 24373, 4780, 1158, 5820, 1200, 1199, 1608, 3123, 9462, 1227, 6751, 2610, 1128, 1227, 18564, 6867, 2636, 121, 1643, 5820, 1138, 6993, 1189, 20631, 14614, 1105, 6676, 244, 1215, 1158, 5820, 1227, 18564, 6867, 2636, 1175, 1551, 3858, 8466, 1849, 1125, 1158, 1306, 5738, 120, 1541, 3486, 186, 10749, 116, 1167, 1158, 5820, 1200, 1199, 1608, 3123, 1323, 1282, 1551, 3858, 2320, 1227, 18564, 6488, 176, 3299, 2551, 18884, 3042, 12946, 6604, 5719, 1362, 7965, 1207, 14855, 2004, 2774, 1197, 29318, 1357, 2368, 1630, 18331, 5176, 1541, 1138, 2683, 1104, 1125, 1158, 9491, 1767, 121, 3767, 1734, 2462, 1157, 1125, 1158, 5820, 1227, 18564, 6867, 15828, 1125, 1158, 5820, 1197, 1165, 1261, 1140, 11184, 1125, 1158, 5820, 1202, 2839, 1150, 1333, 2805, 1167, 1125, 1158, 5820, 1125, 1158, 2168, 1142, 1122, 1175, 1551, 3858, 5820, 1125, 7360, 197, 1496, 1158, 5820, 1197, 1200, 1199, 1608, 3123, 1139, 6146, 2519, 5715, 13571, 17874, 1856, 1158, 2320, 1227, 18564, 6867, 2636, 1362, 2320, 1125, 1158, 14671, 1378, 5264, 7932, 12161, 17448, 11402, 176, 1167, 11402, 25525, 4118, 174, 5899, 2399, 1299, 2774, 1189, 3601, 1125, 9251, 1835, 1207, 2069, 13587, 190, 1357, 4759, 1129, 1158, 9491, 20378, 18564, 6867, 2636, 1167, 13587, 1125, 1158, 1222, 2733, 29476, 4511, 1816, 3391, 19108, 1207, 26252, 1251, 1508, 5087, 119, 8105, 1207, 1115, 1199, 1608, 25941, 2502, 31674, 11103, 31608, 1125, 3171, 4634, 1125, 21524, 1286, 1919, 183, 1212, 8012, 1186, 6564, 1158, 4446, 14609, 183, 184, 20671, 1357, 31642, 1317, 3285, 1227, 11402, 25525, 6298, 2962, 1207, 14855, 1227, 5719, 1299, 1125, 1158, 5820, 1167, 1844, 5946, 3932, 4428, 7863, 14609, 183, 184, 3123, 10803, 5820, 7171, 11103, 1125, 1594, 11677, 1188, 3862, 1227, 11402, 3463, 176, 6298, 121, 3767, 11402, 31549, 6298, 1597, 193, 7059, 1197, 1809, 5595, 14171, 1104, 1257, 1158, 17598, 1197, 13713, 13587, 2353, 18564, 6867, 2636, 1167, 13587, 1125, 1158, 1222, 2733, 2240, 2353, 1167, 1282, 1519, 19824, 1227, 18564, 6488, 176, 3299, 119, 1723, 2072, 1170, 1466, 1159, 1160, 1125, 1158, 2320, 1227, 18564, 6488, 176, 3299, 19398, 2094, 1129, 13288, 1158, 8215, 1125, 1158, 5820, 121, 11151, 1309, 1158, 5820, 1299, 1675, 1481, 1303, 1125, 2797, 1158, 3247, 1335, 5242, 1895, 1715, 1303, 1215, 13680, 9495, 1125, 1158, 3643, 13571, 1158, 3453, 3247, 1227, 5719, 1362, 1182, 1299, 7723, 1303, 1215, 1207, 9462, 2339, 1197, 14855, 1125, 1816, 2076, 2320, 1175, 1551, 6646, 488, 1188, 488, 130, 2320, 1227, 18564, 6488, 176, 3299, 1496, 13826, 1104, 1835, 488, 124, 129, 129, 126, 1167, 488, 124, 129, 131, 131, 121, 1643, 4971, 1227, 1179, 1558, 1125, 1158, 1222, 2733, 12846, 1186, 488, 124, 130, 130, 130, 119, 4723, 4567, 1158, 11523, 1125, 1158, 5820, 1257, 1158, 9640, 3247, 1227, 5719, 1362, 1182, 1299, 7723, 1303, 1215, 1207, 9462, 2339, 1197, 14855, 1227, 1179, 1558, 1175, 1551, 6646, 488, 125, 1167, 488, 127, 1179, 1558, 1125, 1158, 1222, 2733, 2240, 4023, 9688, 19528, 5820, 1200, 1199, 1608, 3123, 1299, 1318, 8401, 5956, 10019, 1313, 1170, 29703, 1415, 1125, 14673, 9186, 1125, 488, 124, 130, 128, 22895, 3450, 1139, 6146, 1125, 1158, 2320, 1227, 18564, 6488, 176, 3299, 121, 7560, 1985, 1160, 1754, 1150, 6196, 1561, 30189, 4249, 1309, 1125, 488, 129, 1127, 1317, 8007, 1125, 1158, 5820, 121, 3450, 2368, 6533, 1849, 2079, 1170, 20449, 13469, 1167, 1281, 20235, 1317, 3664, 25989, 1125, 1158, 5820, 1227, 21949, 1183, 23460, 186, 1429, 7120, 1473, 19528, 5820, 1200, 1199, 1608, 3123, 6666, 1207, 18122, 6441, 1346, 1313, 14439, 1197, 26985, 3664, 1470, 1701, 8623, 13063, 1227, 18564, 6488, 176, 3299, 106, 18259, 1227, 21949, 1183, 9323, 1167, 20117, 2072, 17994, 2093, 26045, 1539, 1132, 29428, 1606, 14124, 1197, 20102, 1125, 14673, 3133, 23789, 3327, 1125, 31805, 1197, 10850, 1167, 1233, 1717, 4101, 1130, 2931, 1125, 14673, 119, 1424, 119, 19911, 1352, 9064, 14673, 119, 488, 124, 132, 124, 131, 119, 9009, 6780, 5308, 3939, 29749, 1197, 20102, 1125, 14673, 119, 488, 125, 3035, 3145, 1253, 5108, 7829, 3100, 14673, 119, 488, 124, 132, 131, 132, 13374, 11052, 2093, 12253, 1197, 18122, 1125, 14673, 106, 2722, 1124, 4688, 17734, 1731, 5532, 1199, 1608, 3123, 7141, 1124, 4688, 14673, 17734, 1731, 1489, 1199, 1608, 1374, 1104, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2895, 5820, 1200, 1199, 1608, 3123, 7216, 3131, 27793, 1257, 1734, 1164, 243, 1154, 3981, 190, 1200, 1199, 1608, 2007, 116, 1299, 1318, 5820, 1227, 4779, 10777, 1125, 14673, 119, 1186, 2315, 1388, 9748, 8150, 1214, 15624, 1874, 1125, 1158, 5820, 1200, 1199, 1608, 3123, 1299, 27747, 244, 1188, 1158, 1622, 1227, 17990, 24373, 4780, 1317, 8007, 1227, 11402, 25525, 6298, 1317, 1127, 1979, 1297, 4060, 1465, 16377, 2435, 6400, 1370, 1197, 1115, 1199, 1608, 11184, 26252, 24238, 1125, 1115, 1199, 1608, 1457, 6487, 14429, 1317, 3285, 1227, 26851, 19565, 1158, 5820, 2515, 172, 2445, 1197, 15351, 1186, 3598, 1469, 1170, 1691, 1573, 1450, 1125, 1158, 1222, 2733, 2240, 1667, 9993, 1257, 5820, 1125, 1158, 1222, 2733, 2240, 4880, 1142, 2466, 1227, 26851, 6298, 116, 1362, 5820, 1227, 1165, 1587, 10238, 1125, 1158, 1222, 2733, 2240, 1175, 1773, 1227, 26851, 6298, 1576, 3450, 5052, 1370, 1440, 4755, 1874, 1227, 30228, 1197, 3848, 1740, 1993, 1554, 1125, 1158, 1222, 2733, 2240, 1357, 1281, 5428, 1370, 1227, 5719, 3090, 1125, 1158, 5820, 121, 1653, 488, 124, 130, 132, 127, 119, 3672, 1158, 23608, 19832, 1158, 5820, 2985, 6334, 2658, 13754, 1303, 1856, 5820, 1125, 6433, 1575, 10645, 12907, 1186, 22107, 1188, 1158, 3837, 1125, 3281, 4853, 1108, 3366, 9505, 21258, 1303, 1125, 1440, 1874, 1186, 488, 124, 130, 132, 126, 20481, 2093, 17971, 17990, 24373, 4780, 1158, 5820, 1200, 1199, 1608, 3123, 9462, 1227, 6751, 2610, 1128, 1227, 18564, 6867, 2636, 121, 1643, 5820, 1138, 6993, 1189, 20631, 14614, 1105, 6676, 244, 1215, 1158, 5820, 1227, 18564, 6867, 2636, 1175, 1551, 3858, 8466, 1849, 1125, 1158, 1306, 5738, 120, 1541, 3486, 186, 10749, 116, 1167, 1158, 5820, 1200, 1199, 1608, 3123, 1323, 1282, 1551, 3858, 2320, 1227, 18564, 6488, 176, 3299, 2551, 18884, 3042, 12946, 6604, 5719, 1362, 7965, 1207, 14855, 2004, 2774, 1197, 29318, 1357, 2368, 1630, 18331, 5176, 1541, 1138, 2683, 1104, 1125, 1158, 9491, 1767, 121, 3767, 1734, 2462, 1157, 1125, 1158, 5820, 1227, 18564, 6867, 15828, 1125, 1158, 5820, 1197, 1165, 1261, 1140, 11184, 1125, 1158, 5820, 1202, 2839, 1150, 1333, 2805, 1167, 1125, 1158, 5820, 1125, 1158, 2168, 1142, 1122, 1175, 1551, 3858, 5820, 1125, 7360, 197, 1496, 1158, 5820, 1197, 1200, 1199, 1608, 3123, 1139, 6146, 2519, 5715, 13571, 17874, 1856, 1158, 2320, 1227, 18564, 6867, 2636, 1362, 2320, 1125, 1158, 14671, 1378, 5264, 7932, 12161, 17448, 11402, 176, 1167, 11402, 25525, 4118, 174, 5899, 2399, 1299, 2774, 1189, 3601, 1125, 9251, 1835, 1207, 2069, 13587, 190, 1357, 4759, 1129, 1158, 9491, 20378, 18564, 6867, 2636, 1167, 13587, 1125, 1158, 1222, 2733, 29476, 4511, 1816, 3391, 19108, 1207, 26252, 1251, 1508, 5087, 119, 8105, 1207, 1115, 1199, 1608, 25941, 2502, 31674, 11103, 31608, 1125, 3171, 4634, 1125, 21524, 1286, 1919, 183, 1212, 8012, 1186, 6564, 1158, 4446, 14609, 183, 184, 20671, 1357, 31642, 1317, 3285, 1227, 11402, 25525, 6298, 2962, 1207, 14855, 1227, 5719, 1299, 1125, 1158, 5820, 1167, 1844, 5946, 3932, 4428, 7863, 14609, 183, 184, 3123, 10803, 5820, 7171, 11103, 1125, 1594, 11677, 1188, 3862, 1227, 11402, 3463, 176, 6298, 121, 3767, 11402, 31549, 6298, 1597, 193, 7059, 1197, 1809, 5595, 14171, 1104, 1257, 1158, 17598, 1197, 13713, 13587, 2353, 18564, 6867, 2636, 1167, 13587, 1125, 1158, 1222, 2733, 2240, 2353, 1167, 1282, 1519, 19824, 1227, 18564, 6488, 176, 3299, 119, 1723, 2072, 1170, 1466, 1159, 1160, 1125, 1158, 2320, 1227, 18564, 6488, 176, 3299, 19398, 2094, 1129, 13288, 1158, 8215, 1125, 1158, 5820, 121, 11151, 1309, 1158, 5820, 1299, 1675, 1481, 1303, 1125, 2797, 1158, 3247, 1335, 5242, 1895, 1715, 1303, 1215, 13680, 9495, 1125, 1158, 3643, 13571, 1158, 3453, 3247, 1227, 5719, 1362, 1182, 1299, 7723, 1303, 1215, 1207, 9462, 2339, 1197, 14855, 1125, 1816, 2076, 2320, 1175, 1551, 6646, 488, 1188, 488, 130, 2320, 1227, 18564, 6488, 176, 3299, 1496, 13826, 1104, 1835, 488, 124, 129, 129, 126, 1167, 488, 124, 129, 131, 131, 121, 1643, 4971, 1227, 1179, 1558, 1125, 1158, 1222, 2733, 12846, 1186, 488, 124, 130, 130, 130, 119, 4723, 4567, 1158, 11523, 1125, 1158, 5820, 1257, 1158, 9640, 3247, 1227, 5719, 1362, 1182, 1299, 7723, 1303, 1215, 1207, 9462, 2339, 1197, 14855, 1227, 1179, 1558, 1175, 1551, 6646, 488, 125, 1167, 488, 127, 1179, 1558, 1125, 1158, 1222, 2733, 2240, 4023, 9688, 19528, 5820, 1200, 1199, 1608, 3123, 1299, 1318, 8401, 5956, 10019, 1313, 1170, 29703, 1415, 1125, 14673, 9186, 1125, 488, 124, 130, 128, 22895, 3450, 1139, 6146, 1125, 1158, 2320, 1227, 18564, 6488, 176, 3299, 121, 7560, 1985, 1160, 1754, 1150, 6196, 1561, 30189, 4249, 1309, 1125, 488, 129, 1127, 1317, 8007, 1125, 1158, 5820, 121, 3450, 2368, 6533, 1849, 2079, 1170, 20449, 13469, 1167, 1281, 20235, 1317, 3664, 25989, 1125, 1158, 5820, 1227, 21949, 1183, 23460, 186, 1429, 7120, 1473, 19528, 5820, 1200, 1199, 1608, 3123, 6666, 1207, 18122, 6441, 1346, 1313, 14439, 1197, 26985, 3664, 1470, 1701, 8623, 13063, 1227, 18564, 6488, 176, 3299, 106, 18259, 1227, 21949, 1183, 9323, 1167, 20117, 2072, 17994, 2093, 26045, 1539, 1132, 29428, 1606, 14124, 1197, 20102, 1125, 14673, 3133, 23789, 3327, 1125, 31805, 1197, 10850, 1167, 1233, 1717, 4101, 1130, 2931, 1125, 14673, 119, 1424, 119, 19911, 1352, 9064, 14673, 119, 488, 124, 132, 124, 131, 119, 9009, 6780, 5308, 3939, 29749, 1197, 20102, 1125, 14673, 119, 488, 125, 3035, 3145, 1253, 5108, 7829, 3100, 14673, 119, 488, 124, 132, 131, 132, 13374, 11052, 2093, 12253, 1197, 18122, 1125, 14673, 106, 2722, 1124, 4688, 17734, 1731, 5532, 1199, 1608, 3123, 7141, 1124, 4688, 14673, 17734, 1731, 1489, 1199, 1608, 1374, 1104, 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, 1158, 17801, 1299, 1318, 10244, 1125, 8145, 30530, 1197, 17941, 5068, 2932, 8145, 1125, 7027, 8468, 1299, 20675, 4160, 1215, 1561, 21423, 1188, 2958, 2312, 1360, 7928, 1388, 17696, 2252, 12616, 10244, 2985, 16233, 1186, 488, 124, 132, 131, 125, 119, 1571, 24884, 1313, 17902, 1125, 14097, 2416, 1105, 1215, 1318, 4875, 1227, 1874, 1125, 20955, 172, 1518, 4970, 179, 11686, 1808, 2958, 2312, 1360, 7928, 1508, 1106, 1153, 1188, 1318, 29479, 13219, 1197, 1185, 9536, 2519, 1125, 2770, 8145, 1883, 1125, 15147, 28359, 12879, 7281, 3450, 1288, 7810, 1178, 5631, 4859, 1125, 13325, 1215, 3598, 1571, 2905, 30805, 1125, 1158, 4014, 4048, 15545, 2574, 2585, 2399, 1281, 14757, 21141, 1313, 1170, 10253, 2519, 4714, 4587, 1567, 1167, 2985, 9814, 3798, 2616, 1158, 30281, 1659, 2399, 2377, 172, 1188, 16186, 1167, 1971, 1343, 1318, 9123, 8145, 1148, 1125, 4685, 8273, 2119, 2442, 1309, 1207, 1518, 4970, 14472, 3815, 1129, 31788, 1594, 7088, 10499, 1199, 1167, 7208, 1277, 13678, 3450, 25098, 1215, 1158, 3011, 1318, 2515, 3798, 1548, 1185, 3333, 3358, 1395, 244, 6058, 9137, 2851, 1207, 7762, 8145, 1376, 8705, 1212, 1197, 11325, 1328, 116, 9442, 2445, 1816, 7925, 1960, 15981, 121, 6053, 2442, 1309, 24889, 21141, 5753, 28341, 1125, 1158, 17801, 121, 29459, 1773, 11884, 1197, 5895, 13701, 1285, 20955, 172, 30667, 8270, 1909, 30805, 1313, 11376, 30955, 1131, 1819, 12288, 1808, 9262, 1346, 1207, 2905, 1253, 1126, 1196, 1392, 1167, 1207, 10428, 2435, 6672, 7085, 7230, 3618, 1197, 30805, 2205, 13238, 9484, 7155, 1170, 8780, 1125, 3171, 3403, 15706, 1313, 1207, 12555, 1125, 1501, 7467, 1170, 1158, 17801, 1666, 191, 1343, 1170, 8774, 1125, 10244, 1188, 1910, 1167, 1189, 5059, 7993, 28341, 2985, 13342, 31070, 29946, 1906, 1309, 1996, 2595, 1186, 17612, 1170, 1158, 17801, 8135, 10591, 244, 1313, 3713, 5610, 3293, 1188, 4759, 1170, 2854, 1388, 2003, 1265, 3656, 10791, 1185, 3333, 1360, 4160, 1227, 1158, 17801, 1299, 12030, 12496, 1197, 2905, 28790, 3358, 1395, 1473, 1856, 1170, 13612, 1105, 1248, 1398, 1362, 1170, 22926, 182, 31459, 1248, 1398, 121, 2502, 5209, 1197, 1158, 9807, 1903, 1188, 2958, 1142, 6534, 27458, 1167, 1188, 2958, 1142, 6001, 8273, 2119, 1189, 8145, 1125, 7027, 8468, 119, 5998, 19011, 1199, 1167, 1906, 2493, 1395, 3502, 6218, 10972, 1915, 20197, 1987, 1256, 1561, 7027, 121, 1643, 13458, 1299, 1906, 11258, 3614, 1303, 1469, 1170, 26154, 1207, 3497, 1883, 2445, 1469, 1197, 15338, 1906, 1177, 8963, 10803, 6425, 4438, 1189, 28168, 2487, 1207, 1425, 1627, 1508, 1464, 12874, 5068, 1548, 28540, 1299, 28728, 1207, 19608, 3023, 1125, 7027, 8468, 1167, 1906, 29585, 1188, 1964, 2989, 121, 3190, 1264, 1255, 2298, 1508, 1189, 2567, 5533, 19528, 3663, 189, 1278, 5714, 1282, 12344, 1125, 1152, 14630, 1457, 3450, 1299, 1906, 2031, 1378, 17847, 1653, 14839, 2399, 1110, 1282, 10025, 1125, 14461, 1996, 1125, 2958, 2312, 4856, 244, 1188, 5610, 7338, 1457, 14564, 1122, 197, 1207, 30805, 1188, 2958, 1142, 2107, 3378, 1527, 11437, 1110, 1382, 1125, 3358, 9203, 1300, 1158, 1600, 2495, 1567, 1167, 1207, 19608, 3023, 1934, 1122, 197, 1207, 8744, 1188, 2958, 1142, 6534, 27458, 119, 1207, 3358, 9203, 1508, 2205, 14931, 1300, 1158, 23636, 1167, 30139, 1318, 1600, 2495, 1567, 121, 1808, 1127, 26905, 13610, 1167, 1207, 1114, 8174, 2312, 1508, 2445, 27770, 1167, 3358, 1395, 1234, 2442, 1309, 1207, 2958, 2312, 1188, 16186, 1197, 19608, 3023, 18898, 7315, 1207, 1708, 6482, 1167, 2962, 1207, 10082, 1508, 7570, 8855, 25886, 1551, 1450, 18805, 1158, 9807, 1903, 1508, 13523, 190, 1856, 1197, 30805, 2205, 7208, 1277, 7489, 9526, 5472, 1125, 1281, 1466, 2021, 1300, 10399, 30359, 1125, 1909, 7754, 7324, 8673, 20133, 2008, 26002, 1125, 7088, 1508, 11950, 29034, 1167, 2567, 1667, 2321, 1125, 13400, 1125, 3219, 26741, 11488, 1167, 20117, 20544, 11052, 2093, 12253, 1197, 28790, 1125, 30805, 7364, 5825, 1424, 488, 12207, 19549, 16668, 106, 488, 12207, 1165, 4657, 11934, 3249, 2093, 2093, 157, 1431, 1125, 8145, 30530, 1197, 9864, 3052, 2416, 1105, 114, 32001, 1424, 32000, 20036, 2359, 1158, 17801, 1299, 1318, 10244, 1125, 8145, 30530, 1197, 17941, 5068, 2932, 8145, 1125, 7027, 8468, 1299, 20675, 4160, 1215, 1561, 21423, 1188, 2958, 2312, 1360, 7928, 1388, 17696, 2252, 12616, 10244, 2985, 16233, 1186, 488, 124, 132, 131, 125, 119, 1571, 24884, 1313, 17902, 1125, 14097, 2416, 1105, 1215, 1318, 4875, 1227, 1874, 1125, 20955, 172, 1518, 4970, 179, 11686, 1808, 2958, 2312, 1360, 7928, 1508, 1106, 1153, 1188, 1318, 29479, 13219, 1197, 1185, 9536, 2519, 1125, 2770, 8145, 1883, 1125, 15147, 28359, 12879, 7281, 3450, 1288, 7810, 1178, 5631, 4859, 1125, 13325, 1215, 3598, 1571, 2905, 30805, 1125, 1158, 4014, 4048, 15545, 2574, 2585, 2399, 1281, 14757, 21141, 1313, 1170, 10253, 2519, 4714, 4587, 1567, 1167, 2985, 9814, 3798, 2616, 1158, 30281, 1659, 2399, 2377, 172, 1188, 16186, 1167, 1971, 1343, 1318, 9123, 8145, 1148, 1125, 4685, 8273, 2119, 2442, 1309, 1207, 1518, 4970, 14472, 3815, 1129, 31788, 1594, 7088, 10499, 1199, 1167, 7208, 1277, 13678, 3450, 25098, 1215, 1158, 3011, 1318, 2515, 3798, 1548, 1185, 3333, 3358, 1395, 244, 6058, 9137, 2851, 1207, 7762, 8145, 1376, 8705, 1212, 1197, 11325, 1328, 116, 9442, 2445, 1816, 7925, 1960, 15981, 121, 6053, 2442, 1309, 24889, 21141, 5753, 28341, 1125, 1158, 17801, 121, 29459, 1773, 11884, 1197, 5895, 13701, 1285, 20955, 172, 30667, 8270, 1909, 30805, 1313, 11376, 30955, 1131, 1819, 12288, 1808, 9262, 1346, 1207, 2905, 1253, 1126, 1196, 1392, 1167, 1207, 10428, 2435, 6672, 7085, 7230, 3618, 1197, 30805, 2205, 13238, 9484, 7155, 1170, 8780, 1125, 3171, 3403, 15706, 1313, 1207, 12555, 1125, 1501, 7467, 1170, 1158, 17801, 1666, 191, 1343, 1170, 8774, 1125, 10244, 1188, 1910, 1167, 1189, 5059, 7993, 28341, 2985, 13342, 31070, 29946, 1906, 1309, 1996, 2595, 1186, 17612, 1170, 1158, 17801, 8135, 10591, 244, 1313, 3713, 5610, 3293, 1188, 4759, 1170, 2854, 1388, 2003, 1265, 3656, 10791, 1185, 3333, 1360, 4160, 1227, 1158, 17801, 1299, 12030, 12496, 1197, 2905, 28790, 3358, 1395, 1473, 1856, 1170, 13612, 1105, 1248, 1398, 1362, 1170, 22926, 182, 31459, 1248, 1398, 121, 2502, 5209, 1197, 1158, 9807, 1903, 1188, 2958, 1142, 6534, 27458, 1167, 1188, 2958, 1142, 6001, 8273, 2119, 1189, 8145, 1125, 7027, 8468, 119, 5998, 19011, 1199, 1167, 1906, 2493, 1395, 3502, 6218, 10972, 1915, 20197, 1987, 1256, 1561, 7027, 121, 1643, 13458, 1299, 1906, 11258, 3614, 1303, 1469, 1170, 26154, 1207, 3497, 1883, 2445, 1469, 1197, 15338, 1906, 1177, 8963, 10803, 6425, 4438, 1189, 28168, 2487, 1207, 1425, 1627, 1508, 1464, 12874, 5068, 1548, 28540, 1299, 28728, 1207, 19608, 3023, 1125, 7027, 8468, 1167, 1906, 29585, 1188, 1964, 2989, 121, 3190, 1264, 1255, 2298, 1508, 1189, 2567, 5533, 19528, 3663, 189, 1278, 5714, 1282, 12344, 1125, 1152, 14630, 1457, 3450, 1299, 1906, 2031, 1378, 17847, 1653, 14839, 2399, 1110, 1282, 10025, 1125, 14461, 1996, 1125, 2958, 2312, 4856, 244, 1188, 5610, 7338, 1457, 14564, 1122, 197, 1207, 30805, 1188, 2958, 1142, 2107, 3378, 1527, 11437, 1110, 1382, 1125, 3358, 9203, 1300, 1158, 1600, 2495, 1567, 1167, 1207, 19608, 3023, 1934, 1122, 197, 1207, 8744, 1188, 2958, 1142, 6534, 27458, 119, 1207, 3358, 9203, 1508, 2205, 14931, 1300, 1158, 23636, 1167, 30139, 1318, 1600, 2495, 1567, 121, 1808, 1127, 26905, 13610, 1167, 1207, 1114, 8174, 2312, 1508, 2445, 27770, 1167, 3358, 1395, 1234, 2442, 1309, 1207, 2958, 2312, 1188, 16186, 1197, 19608, 3023, 18898, 7315, 1207, 1708, 6482, 1167, 2962, 1207, 10082, 1508, 7570, 8855, 25886, 1551, 1450, 18805, 1158, 9807, 1903, 1508, 13523, 190, 1856, 1197, 30805, 2205, 7208, 1277, 7489, 9526, 5472, 1125, 1281, 1466, 2021, 1300, 10399, 30359, 1125, 1909, 7754, 7324, 8673, 20133, 2008, 26002, 1125, 7088, 1508, 11950, 29034, 1167, 2567, 1667, 2321, 1125, 13400, 1125, 3219, 26741, 11488, 1167, 20117, 20544, 11052, 2093, 12253, 1197, 28790, 1125, 30805, 7364, 5825, 1424, 488, 12207, 19549, 16668, 106, 488, 12207, 1165, 4657, 11934, 3249, 2093, 2093, 157, 1431, 1125, 8145, 30530, 1197, 9864, 3052, 2416, 1105, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1158, 17801, 1299, 1318, 10244, 1125, 8145, 30530, 1197, 17941, 5068, 2932, 8145, 1125, 7027, 8468, 1299, 20675, 4160, 1215, 1561, 21423, 1188, 2958, 2312, 1360, 7928, 1388, 17696, 2252, 12616, 10244, 2985, 16233, 1186, 488, 124, 132, 131, 125, 119, 1571, 24884, 1313, 17902, 1125, 14097, 2416, 1105, 1215, 1318, 4875, 1227, 1874, 1125, 20955, 172, 1518, 4970, 179, 11686, 1808, 2958, 2312, 1360, 7928, 1508, 1106, 1153, 1188, 1318, 29479, 13219, 1197, 1185, 9536, 2519, 1125, 2770, 8145, 1883, 1125, 15147, 28359, 12879, 7281, 3450, 1288, 7810, 1178, 5631, 4859, 1125, 13325, 1215, 3598, 1571, 2905, 30805, 1125, 1158, 4014, 4048, 15545, 2574, 2585, 2399, 1281, 14757, 21141, 1313, 1170, 10253, 2519, 4714, 4587, 1567, 1167, 2985, 9814, 3798, 2616, 1158, 30281, 1659, 2399, 2377, 172, 1188, 16186, 1167, 1971, 1343, 1318, 9123, 8145, 1148, 1125, 4685, 8273, 2119, 2442, 1309, 1207, 1518, 4970, 14472, 3815, 1129, 31788, 1594, 7088, 10499, 1199, 1167, 7208, 1277, 13678, 3450, 25098, 1215, 1158, 3011, 1318, 2515, 3798, 1548, 1185, 3333, 3358, 1395, 244, 6058, 9137, 2851, 1207, 7762, 8145, 1376, 8705, 1212, 1197, 11325, 1328, 116, 9442, 2445, 1816, 7925, 1960, 15981, 121, 6053, 2442, 1309, 24889, 21141, 5753, 28341, 1125, 1158, 17801, 121, 29459, 1773, 11884, 1197, 5895, 13701, 1285, 20955, 172, 30667, 8270, 1909, 30805, 1313, 11376, 30955, 1131, 1819, 12288, 1808, 9262, 1346, 1207, 2905, 1253, 1126, 1196, 1392, 1167, 1207, 10428, 2435, 6672, 7085, 7230, 3618, 1197, 30805, 2205, 13238, 9484, 7155, 1170, 8780, 1125, 3171, 3403, 15706, 1313, 1207, 12555, 1125, 1501, 7467, 1170, 1158, 17801, 1666, 191, 1343, 1170, 8774, 1125, 10244, 1188, 1910, 1167, 1189, 5059, 7993, 28341, 2985, 13342, 31070, 29946, 1906, 1309, 1996, 2595, 1186, 17612, 1170, 1158, 17801, 8135, 10591, 244, 1313, 3713, 5610, 3293, 1188, 4759, 1170, 2854, 1388, 2003, 1265, 3656, 10791, 1185, 3333, 1360, 4160, 1227, 1158, 17801, 1299, 12030, 12496, 1197, 2905, 28790, 3358, 1395, 1473, 1856, 1170, 13612, 1105, 1248, 1398, 1362, 1170, 22926, 182, 31459, 1248, 1398, 121, 2502, 5209, 1197, 1158, 9807, 1903, 1188, 2958, 1142, 6534, 27458, 1167, 1188, 2958, 1142, 6001, 8273, 2119, 1189, 8145, 1125, 7027, 8468, 119, 5998, 19011, 1199, 1167, 1906, 2493, 1395, 3502, 6218, 10972, 1915, 20197, 1987, 1256, 1561, 7027, 121, 1643, 13458, 1299, 1906, 11258, 3614, 1303, 1469, 1170, 26154, 1207, 3497, 1883, 2445, 1469, 1197, 15338, 1906, 1177, 8963, 10803, 6425, 4438, 1189, 28168, 2487, 1207, 1425, 1627, 1508, 1464, 12874, 5068, 1548, 28540, 1299, 28728, 1207, 19608, 3023, 1125, 7027, 8468, 1167, 1906, 29585, 1188, 1964, 2989, 121, 3190, 1264, 1255, 2298, 1508, 1189, 2567, 5533, 19528, 3663, 189, 1278, 5714, 1282, 12344, 1125, 1152, 14630, 1457, 3450, 1299, 1906, 2031, 1378, 17847, 1653, 14839, 2399, 1110, 1282, 10025, 1125, 14461, 1996, 1125, 2958, 2312, 4856, 244, 1188, 5610, 7338, 1457, 14564, 1122, 197, 1207, 30805, 1188, 2958, 1142, 2107, 3378, 1527, 11437, 1110, 1382, 1125, 3358, 9203, 1300, 1158, 1600, 2495, 1567, 1167, 1207, 19608, 3023, 1934, 1122, 197, 1207, 8744, 1188, 2958, 1142, 6534, 27458, 119, 1207, 3358, 9203, 1508, 2205, 14931, 1300, 1158, 23636, 1167, 30139, 1318, 1600, 2495, 1567, 121, 1808, 1127, 26905, 13610, 1167, 1207, 1114, 8174, 2312, 1508, 2445, 27770, 1167, 3358, 1395, 1234, 2442, 1309, 1207, 2958, 2312, 1188, 16186, 1197, 19608, 3023, 18898, 7315, 1207, 1708, 6482, 1167, 2962, 1207, 10082, 1508, 7570, 8855, 25886, 1551, 1450, 18805, 1158, 9807, 1903, 1508, 13523, 190, 1856, 1197, 30805, 2205, 7208, 1277, 7489, 9526, 5472, 1125, 1281, 1466, 2021, 1300, 10399, 30359, 1125, 1909, 7754, 7324, 8673, 20133, 2008, 26002, 1125, 7088, 1508, 11950, 29034, 1167, 2567, 1667, 2321, 1125, 13400, 1125, 3219, 26741, 11488, 1167, 20117, 20544, 11052, 2093, 12253, 1197, 28790, 1125, 30805, 7364, 5825, 1424, 488, 12207, 19549, 16668, 106, 488, 12207, 1165, 4657, 11934, 3249, 2093, 2093, 157, 1431, 1125, 8145, 30530, 1197, 9864, 3052, 2416, 1105, 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, 21043, 9632, 1198, 124, 130, 121, 123, 5932, 1299, 1189, 4714, 1231, 13049, 1960, 14268, 1186, 488, 125, 123, 124, 123, 1167, 30749, 1215, 1158, 3385, 31969, 3556, 21043, 9632, 25886, 21198, 6538, 3851, 1370, 1186, 488, 125, 123, 124, 123, 121, 1768, 11358, 1189, 10253, 13180, 3307, 4853, 1429, 1140, 1125, 488, 124, 130, 123, 1270, 1167, 1318, 9565, 1618, 3858, 1188, 488, 124, 123, 5562, 11393, 12258, 6917, 1186, 8215, 488, 129, 195, 129, 1469, 1189, 1202, 159, 4305, 1125, 488, 126, 123, 20306, 24890, 13459, 2072, 6975, 189, 9632, 120, 128, 125, 126, 126, 6975, 189, 9632, 120, 129, 126, 125, 125, 6975, 189, 9632, 120, 129, 127, 127, 129, 12498, 1174, 1231, 21043, 9632, 1566, 24708, 26554, 1197, 4092, 488, 125, 123, 124, 123, 32001, 1424, 32000, 20036, 2359, 21043, 9632, 1198, 124, 130, 121, 123, 5932, 1299, 1189, 4714, 1231, 13049, 1960, 14268, 1186, 488, 125, 123, 124, 123, 1167, 30749, 1215, 1158, 3385, 31969, 3556, 21043, 9632, 25886, 21198, 6538, 3851, 1370, 1186, 488, 125, 123, 124, 123, 121, 1768, 11358, 1189, 10253, 13180, 3307, 4853, 1429, 1140, 1125, 488, 124, 130, 123, 1270, 1167, 1318, 9565, 1618, 3858, 1188, 488, 124, 123, 5562, 11393, 12258, 6917, 1186, 8215, 488, 129, 195, 129, 1469, 1189, 1202, 159, 4305, 1125, 488, 126, 123, 20306, 24890, 13459, 2072, 6975, 189, 9632, 120, 128, 125, 126, 126, 6975, 189, 9632, 120, 129, 126, 125, 125, 6975, 189, 9632, 120, 129, 127, 127, 129, 12498, 1174, 1231, 21043, 9632, 1566, 24708, 26554, 1197, 4092, 488, 125, 123, 124, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 21043, 9632, 1198, 124, 130, 121, 123, 5932, 1299, 1189, 4714, 1231, 13049, 1960, 14268, 1186, 488, 125, 123, 124, 123, 1167, 30749, 1215, 1158, 3385, 31969, 3556, 21043, 9632, 25886, 21198, 6538, 3851, 1370, 1186, 488, 125, 123, 124, 123, 121, 1768, 11358, 1189, 10253, 13180, 3307, 4853, 1429, 1140, 1125, 488, 124, 130, 123, 1270, 1167, 1318, 9565, 1618, 3858, 1188, 488, 124, 123, 5562, 11393, 12258, 6917, 1186, 8215, 488, 129, 195, 129, 1469, 1189, 1202, 159, 4305, 1125, 488, 126, 123, 20306, 24890, 13459, 2072, 6975, 189, 9632, 120, 128, 125, 126, 126, 6975, 189, 9632, 120, 129, 126, 125, 125, 6975, 189, 9632, 120, 129, 127, 127, 129, 12498, 1174, 1231, 21043, 9632, 1566, 24708, 26554, 1197, 4092, 488, 125, 123, 124, 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, 12616, 5971, 13820, 1119, 26194, 1299, 1318, 5971, 1125, 28353, 1109, 14774, 1690, 12208, 1392, 1304, 1896, 1554, 4289, 153, 2041, 116, 1125, 1282, 2029, 2580, 6716, 13363, 1762, 2487, 1207, 20904, 15935, 1186, 2424, 1125, 488, 124, 132, 129, 124, 1188, 488, 124, 132, 132, 125, 5639, 2519, 4927, 1125, 4971, 7556, 4094, 1300, 5999, 4092, 1175, 124, 132, 128, 132, 120, 124, 132, 129, 126, 116, 1256, 17383, 4420, 1189, 3983, 1125, 7762, 28353, 1554, 29227, 1424, 224, 25526, 1125, 1158, 24339, 5971, 1125, 13626, 20655, 1158, 5971, 9605, 22803, 1207, 16963, 1125, 1158, 5971, 13820, 1119, 26194, 2830, 12634, 1823, 29884, 1856, 1207, 7790, 6112, 29093, 12208, 1392, 1304, 1896, 1554, 1125, 1158, 2164, 7416, 13900, 1227, 1844, 1309, 1282, 17792, 1125, 2770, 14547, 1416, 3402, 1392, 3031, 11129, 20936, 1300, 1207, 28353, 1554, 14774, 1690, 22704, 2558, 1125, 1158, 5971, 8755, 1461, 31557, 119, 1317, 10729, 1197, 28353, 1554, 1125, 1158, 5971, 13820, 1119, 3454, 2765, 1408, 27770, 1167, 2335, 1111, 31621, 1408, 3283, 12825, 24808, 1125, 1282, 25502, 1272, 1508, 2445, 1408, 16827, 8155, 1859, 1170, 27214, 1125, 6425, 2985, 1170, 3151, 13626, 2041, 1188, 14675, 1189, 3902, 1349, 1126, 4592, 2059, 1172, 4880, 17077, 1126, 28162, 1960, 116, 3346, 22986, 1192, 120, 125, 2487, 2962, 1207, 20904, 15935, 6428, 1473, 4796, 1964, 12208, 3041, 4651, 15935, 6349, 3137, 8062, 1256, 3937, 22310, 1197, 6608, 3045, 3346, 22986, 1192, 120, 126, 2130, 12634, 1823, 1189, 2574, 6428, 1234, 1125, 1158, 3451, 2419, 7352, 1207, 1202, 1679, 1176, 1105, 18898, 1212, 1207, 16963, 1125, 1816, 5971, 15935, 8551, 2011, 1186, 28353, 1554, 22714, 19906, 2558, 4289, 8556, 116, 7542, 1207, 4092, 488, 124, 132, 131, 123, 121, 28468, 1227, 1844, 1125, 1964, 11231, 4041, 1125, 5788, 4377, 1227, 1844, 6041, 31471, 2134, 1594, 1124, 1571, 15417, 2736, 11568, 1167, 6041, 1288, 1508, 1382, 3425, 3250, 22391, 1256, 1189, 10413, 3283, 1125, 2770, 14235, 1104, 12208, 3440, 14552, 19055, 1816, 14133, 1299, 1906, 4701, 22590, 1856, 2081, 18926, 12372, 4466, 9049, 1764, 2467, 7085, 1317, 18033, 1227, 2424, 15028, 244, 1125, 3203, 20904, 1257, 1170, 13820, 1119, 26194, 1186, 488, 124, 132, 131, 126, 119, 1170, 10036, 7747, 5826, 2673, 1158, 2076, 5910, 2442, 1309, 1170, 10036, 14760, 5339, 1186, 488, 124, 132, 131, 128, 1388, 2029, 1837, 14564, 21932, 16963, 3647, 1129, 1158, 5971, 13820, 1119, 26194, 1469, 1197, 26985, 1125, 1736, 1244, 18615, 1125, 16814, 16040, 120, 129, 123, 131, 1188, 16814, 16040, 120, 129, 124, 124, 2648, 16814, 16040, 120, 129, 124, 131, 121, 6982, 1964, 24041, 3648, 1186, 13626, 5128, 3342, 1288, 1508, 1408, 13754, 1234, 1215, 16814, 16040, 1723, 1215, 16814, 153, 29637, 1158, 14225, 17322, 1220, 1170, 7808, 22862, 26392, 1125, 9193, 2324, 1452, 1762, 1170, 28353, 1109, 6425, 1125, 5971, 13820, 1119, 26194, 1299, 30633, 1188, 11793, 1125, 14097, 2727, 26392, 1256, 1982, 17165, 1571, 23552, 3649, 2635, 1309, 1440, 4755, 1110, 1906, 1913, 30633, 121, 32001, 1424, 32000, 20036, 2895, 5971, 13820, 1119, 26194, 1299, 1318, 5971, 1125, 28353, 1109, 14774, 1690, 12208, 1392, 1304, 1896, 1554, 4289, 153, 2041, 116, 1125, 1282, 2029, 2580, 6716, 13363, 1762, 2487, 1207, 20904, 15935, 1186, 2424, 1125, 488, 124, 132, 129, 124, 1188, 488, 124, 132, 132, 125, 5639, 2519, 4927, 1125, 4971, 7556, 4094, 1300, 5999, 4092, 1175, 124, 132, 128, 132, 120, 124, 132, 129, 126, 116, 1256, 17383, 4420, 1189, 3983, 1125, 7762, 28353, 1554, 29227, 1424, 224, 25526, 1125, 1158, 24339, 5971, 1125, 13626, 20655, 1158, 5971, 9605, 22803, 1207, 16963, 1125, 1158, 5971, 13820, 1119, 26194, 2830, 12634, 1823, 29884, 1856, 1207, 7790, 6112, 29093, 12208, 1392, 1304, 1896, 1554, 1125, 1158, 2164, 7416, 13900, 1227, 1844, 1309, 1282, 17792, 1125, 2770, 14547, 1416, 3402, 1392, 3031, 11129, 20936, 1300, 1207, 28353, 1554, 14774, 1690, 22704, 2558, 1125, 1158, 5971, 8755, 1461, 31557, 119, 1317, 10729, 1197, 28353, 1554, 1125, 1158, 5971, 13820, 1119, 3454, 2765, 1408, 27770, 1167, 2335, 1111, 31621, 1408, 3283, 12825, 24808, 1125, 1282, 25502, 1272, 1508, 2445, 1408, 16827, 8155, 1859, 1170, 27214, 1125, 6425, 2985, 1170, 3151, 13626, 2041, 1188, 14675, 1189, 3902, 1349, 1126, 4592, 2059, 1172, 4880, 17077, 1126, 28162, 1960, 116, 3346, 22986, 1192, 120, 125, 2487, 2962, 1207, 20904, 15935, 6428, 1473, 4796, 1964, 12208, 3041, 4651, 15935, 6349, 3137, 8062, 1256, 3937, 22310, 1197, 6608, 3045, 3346, 22986, 1192, 120, 126, 2130, 12634, 1823, 1189, 2574, 6428, 1234, 1125, 1158, 3451, 2419, 7352, 1207, 1202, 1679, 1176, 1105, 18898, 1212, 1207, 16963, 1125, 1816, 5971, 15935, 8551, 2011, 1186, 28353, 1554, 22714, 19906, 2558, 4289, 8556, 116, 7542, 1207, 4092, 488, 124, 132, 131, 123, 121, 28468, 1227, 1844, 1125, 1964, 11231, 4041, 1125, 5788, 4377, 1227, 1844, 6041, 31471, 2134, 1594, 1124, 1571, 15417, 2736, 11568, 1167, 6041, 1288, 1508, 1382, 3425, 3250, 22391, 1256, 1189, 10413, 3283, 1125, 2770, 14235, 1104, 12208, 3440, 14552, 19055, 1816, 14133, 1299, 1906, 4701, 22590, 1856, 2081, 18926, 12372, 4466, 9049, 1764, 2467, 7085, 1317, 18033, 1227, 2424, 15028, 244, 1125, 3203, 20904, 1257, 1170, 13820, 1119, 26194, 1186, 488, 124, 132, 131, 126, 119, 1170, 10036, 7747, 5826, 2673, 1158, 2076, 5910, 2442, 1309, 1170, 10036, 14760, 5339, 1186, 488, 124, 132, 131, 128, 1388, 2029, 1837, 14564, 21932, 16963, 3647, 1129, 1158, 5971, 13820, 1119, 26194, 1469, 1197, 26985, 1125, 1736, 1244, 18615, 1125, 16814, 16040, 120, 129, 123, 131, 1188, 16814, 16040, 120, 129, 124, 124, 2648, 16814, 16040, 120, 129, 124, 131, 121, 6982, 1964, 24041, 3648, 1186, 13626, 5128, 3342, 1288, 1508, 1408, 13754, 1234, 1215, 16814, 16040, 1723, 1215, 16814, 153, 29637, 1158, 14225, 17322, 1220, 1170, 7808, 22862, 26392, 1125, 9193, 2324, 1452, 1762, 1170, 28353, 1109, 6425, 1125, 5971, 13820, 1119, 26194, 1299, 30633, 1188, 11793, 1125, 14097, 2727, 26392, 1256, 1982, 17165, 1571, 23552, 3649, 2635, 1309, 1440, 4755, 1110, 1906, 1913, 30633, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 5971, 13820, 1119, 26194, 1299, 1318, 5971, 1125, 28353, 1109, 14774, 1690, 12208, 1392, 1304, 1896, 1554, 4289, 153, 2041, 116, 1125, 1282, 2029, 2580, 6716, 13363, 1762, 2487, 1207, 20904, 15935, 1186, 2424, 1125, 488, 124, 132, 129, 124, 1188, 488, 124, 132, 132, 125, 5639, 2519, 4927, 1125, 4971, 7556, 4094, 1300, 5999, 4092, 1175, 124, 132, 128, 132, 120, 124, 132, 129, 126, 116, 1256, 17383, 4420, 1189, 3983, 1125, 7762, 28353, 1554, 29227, 1424, 224, 25526, 1125, 1158, 24339, 5971, 1125, 13626, 20655, 1158, 5971, 9605, 22803, 1207, 16963, 1125, 1158, 5971, 13820, 1119, 26194, 2830, 12634, 1823, 29884, 1856, 1207, 7790, 6112, 29093, 12208, 1392, 1304, 1896, 1554, 1125, 1158, 2164, 7416, 13900, 1227, 1844, 1309, 1282, 17792, 1125, 2770, 14547, 1416, 3402, 1392, 3031, 11129, 20936, 1300, 1207, 28353, 1554, 14774, 1690, 22704, 2558, 1125, 1158, 5971, 8755, 1461, 31557, 119, 1317, 10729, 1197, 28353, 1554, 1125, 1158, 5971, 13820, 1119, 3454, 2765, 1408, 27770, 1167, 2335, 1111, 31621, 1408, 3283, 12825, 24808, 1125, 1282, 25502, 1272, 1508, 2445, 1408, 16827, 8155, 1859, 1170, 27214, 1125, 6425, 2985, 1170, 3151, 13626, 2041, 1188, 14675, 1189, 3902, 1349, 1126, 4592, 2059, 1172, 4880, 17077, 1126, 28162, 1960, 116, 3346, 22986, 1192, 120, 125, 2487, 2962, 1207, 20904, 15935, 6428, 1473, 4796, 1964, 12208, 3041, 4651, 15935, 6349, 3137, 8062, 1256, 3937, 22310, 1197, 6608, 3045, 3346, 22986, 1192, 120, 126, 2130, 12634, 1823, 1189, 2574, 6428, 1234, 1125, 1158, 3451, 2419, 7352, 1207, 1202, 1679, 1176, 1105, 18898, 1212, 1207, 16963, 1125, 1816, 5971, 15935, 8551, 2011, 1186, 28353, 1554, 22714, 19906, 2558, 4289, 8556, 116, 7542, 1207, 4092, 488, 124, 132, 131, 123, 121, 28468, 1227, 1844, 1125, 1964, 11231, 4041, 1125, 5788, 4377, 1227, 1844, 6041, 31471, 2134, 1594, 1124, 1571, 15417, 2736, 11568, 1167, 6041, 1288, 1508, 1382, 3425, 3250, 22391, 1256, 1189, 10413, 3283, 1125, 2770, 14235, 1104, 12208, 3440, 14552, 19055, 1816, 14133, 1299, 1906, 4701, 22590, 1856, 2081, 18926, 12372, 4466, 9049, 1764, 2467, 7085, 1317, 18033, 1227, 2424, 15028, 244, 1125, 3203, 20904, 1257, 1170, 13820, 1119, 26194, 1186, 488, 124, 132, 131, 126, 119, 1170, 10036, 7747, 5826, 2673, 1158, 2076, 5910, 2442, 1309, 1170, 10036, 14760, 5339, 1186, 488, 124, 132, 131, 128, 1388, 2029, 1837, 14564, 21932, 16963, 3647, 1129, 1158, 5971, 13820, 1119, 26194, 1469, 1197, 26985, 1125, 1736, 1244, 18615, 1125, 16814, 16040, 120, 129, 123, 131, 1188, 16814, 16040, 120, 129, 124, 124, 2648, 16814, 16040, 120, 129, 124, 131, 121, 6982, 1964, 24041, 3648, 1186, 13626, 5128, 3342, 1288, 1508, 1408, 13754, 1234, 1215, 16814, 16040, 1723, 1215, 16814, 153, 29637, 1158, 14225, 17322, 1220, 1170, 7808, 22862, 26392, 1125, 9193, 2324, 1452, 1762, 1170, 28353, 1109, 6425, 1125, 5971, 13820, 1119, 26194, 1299, 30633, 1188, 11793, 1125, 14097, 2727, 26392, 1256, 1982, 17165, 1571, 23552, 3649, 2635, 1309, 1440, 4755, 1110, 1906, 1913, 30633, 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, 18805, 7990, 24336, 1120, 6096, 1189, 9221, 1125, 1158, 15194, 21172, 20120, 20723, 1186, 5145, 1121, 1484, 30403, 4095, 1867, 15104, 8314, 3825, 1304, 28821, 1197, 7990, 24336, 1120, 1313, 1125, 1408, 17241, 1104, 7599, 1125, 15194, 1281, 8420, 7085, 1215, 1189, 10287, 7792, 1440, 1357, 13192, 1309, 10276, 9195, 18891, 1996, 5617, 1300, 1170, 3274, 121, 1548, 3274, 2934, 18732, 18668, 1856, 3274, 1125, 15194, 31895, 1215, 18556, 6929, 15180, 1227, 488, 124, 126, 2822, 488, 124, 132, 127, 127, 7745, 172, 3080, 2071, 1594, 3872, 2359, 9221, 1197, 7990, 24336, 1120, 1299, 15974, 1317, 4319, 1125, 9911, 488, 124, 132, 127, 124, 1215, 7071, 1415, 2168, 25463, 30530, 12412, 1596, 1126, 1210, 2771, 1808, 4789, 3738, 1227, 3274, 6036, 1129, 6334, 7762, 31877, 4634, 1186, 488, 124, 132, 127, 125, 121, 1643, 14853, 1227, 3274, 1469, 1158, 13097, 1231, 5371, 1315, 1125, 8179, 2324, 22446, 1288, 5487, 1382, 1281, 15646, 1382, 12675, 1309, 6650, 12479, 1193, 1473, 1186, 488, 124, 132, 127, 126, 1167, 488, 124, 132, 127, 127, 1469, 6389, 12022, 121, 7071, 1415, 2168, 4889, 9386, 1199, 15382, 1594, 12009, 1336, 1186, 4083, 1309, 5773, 7962, 27404, 1158, 26053, 119, 1207, 7990, 24336, 1120, 17758, 2457, 119, 1186, 1408, 1227, 12468, 9556, 1125, 13361, 10708, 1197, 15490, 1313, 1170, 6279, 173, 2851, 1186, 1252, 2621, 1112, 9081, 1968, 2154, 1366, 1167, 1313, 1170, 1306, 1262, 1511, 121, 3559, 1225, 2150, 3031, 26033, 1469, 1197, 6969, 1125, 15194, 1313, 1170, 6973, 1125, 1158, 2315, 8155, 488, 124, 123, 2822, 488, 124, 132, 127, 127, 119, 7071, 1415, 2168, 25463, 5338, 1129, 1199, 1594, 3483, 14623, 1735, 1577, 11835, 12459, 1125, 4110, 1170, 20560, 5068, 4511, 1816, 3391, 19108, 1207, 7990, 24336, 1120, 15935, 22786, 3392, 1300, 1170, 2678, 14548, 1227, 1127, 14933, 1317, 1204, 30190, 3781, 20120, 8155, 3274, 2368, 12340, 172, 1667, 14867, 1188, 1158, 11473, 1125, 1158, 8146, 1455, 1265, 1182, 4994, 1768, 2368, 1109, 1923, 1117, 1154, 6349, 1313, 1170, 23804, 1197, 1455, 1265, 1182, 1554, 1167, 1197, 6682, 7975, 1690, 1317, 1173, 5845, 1186, 1964, 3459, 4658, 17987, 3130, 1301, 11184, 2678, 6565, 1167, 20928, 1125, 20385, 2500, 121, 16184, 1170, 3274, 31764, 1910, 1188, 1197, 5555, 1125, 26380, 1190, 1272, 12825, 7990, 24336, 1120, 2894, 7085, 119, 1856, 1207, 2905, 2957, 1346, 1189, 26554, 2693, 2479, 1186, 5476, 1304, 2677, 1182, 5422, 1125, 1275, 1715, 1430, 1167, 5147, 9274, 121, 4608, 1207, 488, 124, 128, 131, 22840, 2007, 7254, 6565, 488, 124, 131, 1288, 3360, 1109, 2089, 4550, 1197, 3577, 1297, 19477, 31510, 3330, 15935, 18912, 20909, 1167, 10924, 12520, 7085, 2391, 1197, 5555, 2467, 1473, 1188, 1158, 26053, 24890, 13374, 11052, 1424, 9670, 4449, 21172, 20120, 1175, 124, 132, 126, 132, 120, 124, 132, 127, 128, 1718, 8044, 17224, 1362, 9221, 1125, 1158, 9670, 4449, 20120, 5194, 1348, 1362, 3968, 11894, 16233, 1186, 488, 124, 132, 127, 124, 5194, 1348, 1362, 3968, 11894, 9144, 2734, 1186, 488, 124, 132, 127, 128, 121, 32001, 1424, 32000, 20036, 2608, 7990, 24336, 1120, 6096, 1189, 9221, 1125, 1158, 15194, 21172, 20120, 20723, 1186, 5145, 1121, 1484, 30403, 4095, 1867, 15104, 8314, 3825, 1304, 28821, 1197, 7990, 24336, 1120, 1313, 1125, 1408, 17241, 1104, 7599, 1125, 15194, 1281, 8420, 7085, 1215, 1189, 10287, 7792, 1440, 1357, 13192, 1309, 10276, 9195, 18891, 1996, 5617, 1300, 1170, 3274, 121, 1548, 3274, 2934, 18732, 18668, 1856, 3274, 1125, 15194, 31895, 1215, 18556, 6929, 15180, 1227, 488, 124, 126, 2822, 488, 124, 132, 127, 127, 7745, 172, 3080, 2071, 1594, 3872, 2359, 9221, 1197, 7990, 24336, 1120, 1299, 15974, 1317, 4319, 1125, 9911, 488, 124, 132, 127, 124, 1215, 7071, 1415, 2168, 25463, 30530, 12412, 1596, 1126, 1210, 2771, 1808, 4789, 3738, 1227, 3274, 6036, 1129, 6334, 7762, 31877, 4634, 1186, 488, 124, 132, 127, 125, 121, 1643, 14853, 1227, 3274, 1469, 1158, 13097, 1231, 5371, 1315, 1125, 8179, 2324, 22446, 1288, 5487, 1382, 1281, 15646, 1382, 12675, 1309, 6650, 12479, 1193, 1473, 1186, 488, 124, 132, 127, 126, 1167, 488, 124, 132, 127, 127, 1469, 6389, 12022, 121, 7071, 1415, 2168, 4889, 9386, 1199, 15382, 1594, 12009, 1336, 1186, 4083, 1309, 5773, 7962, 27404, 1158, 26053, 119, 1207, 7990, 24336, 1120, 17758, 2457, 119, 1186, 1408, 1227, 12468, 9556, 1125, 13361, 10708, 1197, 15490, 1313, 1170, 6279, 173, 2851, 1186, 1252, 2621, 1112, 9081, 1968, 2154, 1366, 1167, 1313, 1170, 1306, 1262, 1511, 121, 3559, 1225, 2150, 3031, 26033, 1469, 1197, 6969, 1125, 15194, 1313, 1170, 6973, 1125, 1158, 2315, 8155, 488, 124, 123, 2822, 488, 124, 132, 127, 127, 119, 7071, 1415, 2168, 25463, 5338, 1129, 1199, 1594, 3483, 14623, 1735, 1577, 11835, 12459, 1125, 4110, 1170, 20560, 5068, 4511, 1816, 3391, 19108, 1207, 7990, 24336, 1120, 15935, 22786, 3392, 1300, 1170, 2678, 14548, 1227, 1127, 14933, 1317, 1204, 30190, 3781, 20120, 8155, 3274, 2368, 12340, 172, 1667, 14867, 1188, 1158, 11473, 1125, 1158, 8146, 1455, 1265, 1182, 4994, 1768, 2368, 1109, 1923, 1117, 1154, 6349, 1313, 1170, 23804, 1197, 1455, 1265, 1182, 1554, 1167, 1197, 6682, 7975, 1690, 1317, 1173, 5845, 1186, 1964, 3459, 4658, 17987, 3130, 1301, 11184, 2678, 6565, 1167, 20928, 1125, 20385, 2500, 121, 16184, 1170, 3274, 31764, 1910, 1188, 1197, 5555, 1125, 26380, 1190, 1272, 12825, 7990, 24336, 1120, 2894, 7085, 119, 1856, 1207, 2905, 2957, 1346, 1189, 26554, 2693, 2479, 1186, 5476, 1304, 2677, 1182, 5422, 1125, 1275, 1715, 1430, 1167, 5147, 9274, 121, 4608, 1207, 488, 124, 128, 131, 22840, 2007, 7254, 6565, 488, 124, 131, 1288, 3360, 1109, 2089, 4550, 1197, 3577, 1297, 19477, 31510, 3330, 15935, 18912, 20909, 1167, 10924, 12520, 7085, 2391, 1197, 5555, 2467, 1473, 1188, 1158, 26053, 24890, 13374, 11052, 1424, 9670, 4449, 21172, 20120, 1175, 124, 132, 126, 132, 120, 124, 132, 127, 128, 1718, 8044, 17224, 1362, 9221, 1125, 1158, 9670, 4449, 20120, 5194, 1348, 1362, 3968, 11894, 16233, 1186, 488, 124, 132, 127, 124, 5194, 1348, 1362, 3968, 11894, 9144, 2734, 1186, 488, 124, 132, 127, 128, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 7990, 24336, 1120, 6096, 1189, 9221, 1125, 1158, 15194, 21172, 20120, 20723, 1186, 5145, 1121, 1484, 30403, 4095, 1867, 15104, 8314, 3825, 1304, 28821, 1197, 7990, 24336, 1120, 1313, 1125, 1408, 17241, 1104, 7599, 1125, 15194, 1281, 8420, 7085, 1215, 1189, 10287, 7792, 1440, 1357, 13192, 1309, 10276, 9195, 18891, 1996, 5617, 1300, 1170, 3274, 121, 1548, 3274, 2934, 18732, 18668, 1856, 3274, 1125, 15194, 31895, 1215, 18556, 6929, 15180, 1227, 488, 124, 126, 2822, 488, 124, 132, 127, 127, 7745, 172, 3080, 2071, 1594, 3872, 2359, 9221, 1197, 7990, 24336, 1120, 1299, 15974, 1317, 4319, 1125, 9911, 488, 124, 132, 127, 124, 1215, 7071, 1415, 2168, 25463, 30530, 12412, 1596, 1126, 1210, 2771, 1808, 4789, 3738, 1227, 3274, 6036, 1129, 6334, 7762, 31877, 4634, 1186, 488, 124, 132, 127, 125, 121, 1643, 14853, 1227, 3274, 1469, 1158, 13097, 1231, 5371, 1315, 1125, 8179, 2324, 22446, 1288, 5487, 1382, 1281, 15646, 1382, 12675, 1309, 6650, 12479, 1193, 1473, 1186, 488, 124, 132, 127, 126, 1167, 488, 124, 132, 127, 127, 1469, 6389, 12022, 121, 7071, 1415, 2168, 4889, 9386, 1199, 15382, 1594, 12009, 1336, 1186, 4083, 1309, 5773, 7962, 27404, 1158, 26053, 119, 1207, 7990, 24336, 1120, 17758, 2457, 119, 1186, 1408, 1227, 12468, 9556, 1125, 13361, 10708, 1197, 15490, 1313, 1170, 6279, 173, 2851, 1186, 1252, 2621, 1112, 9081, 1968, 2154, 1366, 1167, 1313, 1170, 1306, 1262, 1511, 121, 3559, 1225, 2150, 3031, 26033, 1469, 1197, 6969, 1125, 15194, 1313, 1170, 6973, 1125, 1158, 2315, 8155, 488, 124, 123, 2822, 488, 124, 132, 127, 127, 119, 7071, 1415, 2168, 25463, 5338, 1129, 1199, 1594, 3483, 14623, 1735, 1577, 11835, 12459, 1125, 4110, 1170, 20560, 5068, 4511, 1816, 3391, 19108, 1207, 7990, 24336, 1120, 15935, 22786, 3392, 1300, 1170, 2678, 14548, 1227, 1127, 14933, 1317, 1204, 30190, 3781, 20120, 8155, 3274, 2368, 12340, 172, 1667, 14867, 1188, 1158, 11473, 1125, 1158, 8146, 1455, 1265, 1182, 4994, 1768, 2368, 1109, 1923, 1117, 1154, 6349, 1313, 1170, 23804, 1197, 1455, 1265, 1182, 1554, 1167, 1197, 6682, 7975, 1690, 1317, 1173, 5845, 1186, 1964, 3459, 4658, 17987, 3130, 1301, 11184, 2678, 6565, 1167, 20928, 1125, 20385, 2500, 121, 16184, 1170, 3274, 31764, 1910, 1188, 1197, 5555, 1125, 26380, 1190, 1272, 12825, 7990, 24336, 1120, 2894, 7085, 119, 1856, 1207, 2905, 2957, 1346, 1189, 26554, 2693, 2479, 1186, 5476, 1304, 2677, 1182, 5422, 1125, 1275, 1715, 1430, 1167, 5147, 9274, 121, 4608, 1207, 488, 124, 128, 131, 22840, 2007, 7254, 6565, 488, 124, 131, 1288, 3360, 1109, 2089, 4550, 1197, 3577, 1297, 19477, 31510, 3330, 15935, 18912, 20909, 1167, 10924, 12520, 7085, 2391, 1197, 5555, 2467, 1473, 1188, 1158, 26053, 24890, 13374, 11052, 1424, 9670, 4449, 21172, 20120, 1175, 124, 132, 126, 132, 120, 124, 132, 127, 128, 1718, 8044, 17224, 1362, 9221, 1125, 1158, 9670, 4449, 20120, 5194, 1348, 1362, 3968, 11894, 16233, 1186, 488, 124, 132, 127, 124, 5194, 1348, 1362, 3968, 11894, 9144, 2734, 1186, 488, 124, 132, 127, 128, 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, 163, 1231, 178, 1192, 180, 11564, 1299, 1170, 2423, 5119, 1137, 1148, 1227, 1539, 4353, 1189, 7271, 8142, 17796, 121, 1768, 27555, 2079, 13834, 488, 132, 130, 130, 1305, 121, 1321, 4207, 119, 1317, 4319, 1125, 1158, 4927, 1125, 1158, 1106, 27401, 4094, 2397, 20168, 121, 1768, 6728, 6106, 1188, 1594, 9159, 2271, 1231, 178, 1671, 2433, 1357, 3618, 1913, 1151, 1383, 1333, 1215, 1170, 10973, 2397, 20168, 1539, 1896, 194, 18509, 1167, 15740, 1317, 8824, 23166, 1740, 4192, 1125, 5119, 1137, 1148, 8509, 244, 2479, 1227, 27555, 1424, 155, 2388, 1170, 27555, 1125, 1192, 2433, 1170, 1539, 192, 4216, 1125, 2368, 1630, 1987, 4188, 2121, 19593, 1170, 5136, 1125, 5313, 1104, 1113, 1220, 1227, 20295, 1125, 1158, 17451, 18500, 1167, 1197, 1152, 1390, 1473, 31994, 1227, 1671, 1475, 17940, 1321, 180, 1475, 121, 12427, 2797, 4190, 4053, 119, 3557, 3672, 1594, 27555, 1980, 244, 1395, 1230, 1158, 6545, 1835, 1170, 1539, 192, 1167, 1158, 1106, 27401, 4094, 2397, 20168, 15826, 2904, 1112, 1469, 1158, 1106, 27401, 4094, 2397, 20168, 18604, 6500, 2750, 1309, 1909, 14547, 1416, 3402, 1392, 24479, 11129, 23969, 1207, 23885, 18001, 8030, 1167, 1362, 1182, 1125, 27302, 1229, 25022, 12781, 1170, 10973, 2397, 20168, 2397, 3004, 1246, 1475, 24389, 1594, 6510, 2079, 1170, 7758, 1167, 1281, 12208, 1313, 1318, 10604, 5625, 11894, 1167, 9644, 8469, 12495, 1303, 2079, 1170, 4779, 1227, 20295, 1227, 1671, 1475, 17940, 1321, 180, 1475, 1939, 1768, 1299, 8709, 1125, 1880, 1995, 3371, 13315, 1256, 1170, 7758, 1299, 15923, 1188, 20790, 1214, 1125, 3355, 3389, 8823, 1150, 27875, 1186, 4972, 1541, 1197, 2397, 20168, 1186, 2368, 1320, 1436, 1199, 1197, 23388, 1227, 20295, 1227, 1671, 1475, 17940, 1859, 1188, 18740, 1445, 1125, 18449, 7478, 1187, 1215, 1170, 1113, 4824, 1362, 1158, 12698, 1125, 31657, 1189, 1152, 1322, 1132, 1186, 3627, 1125, 8753, 4202, 19846, 2040, 1723, 1313, 2183, 1207, 7682, 1158, 6545, 8718, 6365, 1125, 13834, 488, 132, 129, 124, 1305, 121, 6709, 3926, 29637, 1189, 3151, 9058, 1170, 5016, 1197, 20373, 1299, 20468, 1571, 25022, 12781, 1357, 12789, 27693, 1207, 488, 125, 129, 15058, 1152, 1322, 1541, 1227, 1539, 192, 25393, 1313, 1158, 22119, 1125, 1158, 17451, 1306, 3100, 1167, 2368, 1320, 6471, 1125, 1158, 17128, 1227, 1539, 4353, 5639, 1197, 2383, 190, 1321, 2064, 19593, 2442, 12030, 1170, 5136, 1125, 1158, 6233, 10019, 1188, 21204, 1227, 29792, 18500, 1167, 1317, 8030, 1227, 1671, 1475, 197, 3266, 4651, 1251, 6304, 17159, 1158, 1226, 1213, 3402, 1125, 20890, 1298, 179, 3100, 1357, 1964, 12425, 1125, 2989, 3657, 1167, 11894, 1313, 1158, 3734, 121, 3350, 2397, 20168, 2397, 3004, 1246, 1475, 24391, 1286, 1188, 1191, 27765, 13288, 1170, 1539, 4353, 1362, 21234, 1110, 1382, 1207, 7453, 18536, 1300, 1170, 13144, 1167, 3483, 2752, 1561, 19439, 8370, 488, 132, 128, 130, 1305, 121, 6709, 3926, 3145, 2397, 3004, 1246, 1475, 12208, 1561, 6311, 9625, 11894, 2714, 1170, 1539, 4353, 1170, 7662, 1158, 13624, 1197, 8574, 9091, 2137, 1125, 25022, 12781, 1357, 1508, 4643, 1473, 1186, 5246, 1757, 25630, 1125, 14097, 12925, 4095, 3552, 27635, 1188, 1158, 3453, 119, 1816, 3643, 25243, 24389, 7581, 1317, 8655, 4910, 186, 1167, 1207, 21863, 1197, 2397, 20168, 1508, 2821, 2610, 1473, 1215, 6650, 1227, 1539, 7258, 11151, 1309, 2397, 3004, 1246, 1475, 1167, 1909, 24028, 3748, 16544, 1188, 1281, 15387, 1125, 14974, 5719, 1125, 1158, 17451, 1306, 3100, 1170, 13587, 8989, 18274, 2368, 3478, 2587, 119, 2929, 1199, 1188, 1158, 2768, 1170, 10973, 1167, 1170, 23711, 1125, 1165, 1558, 1313, 1158, 11507, 13476, 2585, 3342, 1622, 6369, 2183, 1207, 2069, 27986, 1234, 1939, 7155, 11898, 2587, 1160, 1125, 1440, 13587, 119, 28670, 2397, 20168, 7171, 1909, 2069, 4021, 1701, 1207, 1408, 3283, 1285, 1167, 5350, 1561, 5860, 8401, 1125, 11642, 3266, 18983, 4299, 11650, 1167, 5044, 1473, 1227, 4933, 1227, 9091, 1334, 4048, 1207, 488, 5246, 1757, 25630, 1125, 14097, 12925, 109, 2372, 173, 2089, 1313, 1170, 1270, 23190, 1167, 1508, 13390, 21501, 1215, 1207, 8574, 1227, 1539, 192, 8273, 1376, 2603, 2027, 1125, 1158, 6545, 1167, 1622, 1125, 27555, 21311, 1132, 4818, 1816, 5119, 1845, 6785, 2271, 1231, 178, 1192, 180, 1281, 2024, 3893, 1125, 3631, 14321, 1984, 1571, 1708, 1120, 2397, 20168, 1167, 2368, 4938, 5026, 25314, 1197, 8470, 9091, 9484, 1653, 6500, 1856, 1527, 1110, 10909, 15871, 24858, 6668, 1227, 1539, 192, 1167, 1594, 5136, 1300, 1158, 3734, 8468, 1227, 1671, 1475, 197, 2433, 1192, 180, 1288, 4715, 5631, 13315, 1188, 2968, 1374, 6933, 2209, 1207, 1691, 1124, 1485, 2397, 20168, 7552, 2136, 1158, 4541, 1125, 1192, 2433, 3557, 1594, 1962, 1285, 2271, 1231, 178, 1222, 3100, 1357, 2435, 6728, 6106, 11488, 1167, 5474, 17994, 2093, 2330, 192, 1175, 6921, 12125, 27401, 4094, 2397, 20168, 2073, 1146, 1137, 1148, 1125, 1539, 192, 11301, 16273, 17796, 1227, 2271, 176, 6298, 1305, 121, 6709, 3926, 121, 32001, 1424, 32000, 20036, 16100, 1231, 178, 1192, 180, 11564, 1299, 1170, 2423, 5119, 1137, 1148, 1227, 1539, 4353, 1189, 7271, 8142, 17796, 121, 1768, 27555, 2079, 13834, 488, 132, 130, 130, 1305, 121, 1321, 4207, 119, 1317, 4319, 1125, 1158, 4927, 1125, 1158, 1106, 27401, 4094, 2397, 20168, 121, 1768, 6728, 6106, 1188, 1594, 9159, 2271, 1231, 178, 1671, 2433, 1357, 3618, 1913, 1151, 1383, 1333, 1215, 1170, 10973, 2397, 20168, 1539, 1896, 194, 18509, 1167, 15740, 1317, 8824, 23166, 1740, 4192, 1125, 5119, 1137, 1148, 8509, 244, 2479, 1227, 27555, 1424, 155, 2388, 1170, 27555, 1125, 1192, 2433, 1170, 1539, 192, 4216, 1125, 2368, 1630, 1987, 4188, 2121, 19593, 1170, 5136, 1125, 5313, 1104, 1113, 1220, 1227, 20295, 1125, 1158, 17451, 18500, 1167, 1197, 1152, 1390, 1473, 31994, 1227, 1671, 1475, 17940, 1321, 180, 1475, 121, 12427, 2797, 4190, 4053, 119, 3557, 3672, 1594, 27555, 1980, 244, 1395, 1230, 1158, 6545, 1835, 1170, 1539, 192, 1167, 1158, 1106, 27401, 4094, 2397, 20168, 15826, 2904, 1112, 1469, 1158, 1106, 27401, 4094, 2397, 20168, 18604, 6500, 2750, 1309, 1909, 14547, 1416, 3402, 1392, 24479, 11129, 23969, 1207, 23885, 18001, 8030, 1167, 1362, 1182, 1125, 27302, 1229, 25022, 12781, 1170, 10973, 2397, 20168, 2397, 3004, 1246, 1475, 24389, 1594, 6510, 2079, 1170, 7758, 1167, 1281, 12208, 1313, 1318, 10604, 5625, 11894, 1167, 9644, 8469, 12495, 1303, 2079, 1170, 4779, 1227, 20295, 1227, 1671, 1475, 17940, 1321, 180, 1475, 1939, 1768, 1299, 8709, 1125, 1880, 1995, 3371, 13315, 1256, 1170, 7758, 1299, 15923, 1188, 20790, 1214, 1125, 3355, 3389, 8823, 1150, 27875, 1186, 4972, 1541, 1197, 2397, 20168, 1186, 2368, 1320, 1436, 1199, 1197, 23388, 1227, 20295, 1227, 1671, 1475, 17940, 1859, 1188, 18740, 1445, 1125, 18449, 7478, 1187, 1215, 1170, 1113, 4824, 1362, 1158, 12698, 1125, 31657, 1189, 1152, 1322, 1132, 1186, 3627, 1125, 8753, 4202, 19846, 2040, 1723, 1313, 2183, 1207, 7682, 1158, 6545, 8718, 6365, 1125, 13834, 488, 132, 129, 124, 1305, 121, 6709, 3926, 29637, 1189, 3151, 9058, 1170, 5016, 1197, 20373, 1299, 20468, 1571, 25022, 12781, 1357, 12789, 27693, 1207, 488, 125, 129, 15058, 1152, 1322, 1541, 1227, 1539, 192, 25393, 1313, 1158, 22119, 1125, 1158, 17451, 1306, 3100, 1167, 2368, 1320, 6471, 1125, 1158, 17128, 1227, 1539, 4353, 5639, 1197, 2383, 190, 1321, 2064, 19593, 2442, 12030, 1170, 5136, 1125, 1158, 6233, 10019, 1188, 21204, 1227, 29792, 18500, 1167, 1317, 8030, 1227, 1671, 1475, 197, 3266, 4651, 1251, 6304, 17159, 1158, 1226, 1213, 3402, 1125, 20890, 1298, 179, 3100, 1357, 1964, 12425, 1125, 2989, 3657, 1167, 11894, 1313, 1158, 3734, 121, 3350, 2397, 20168, 2397, 3004, 1246, 1475, 24391, 1286, 1188, 1191, 27765, 13288, 1170, 1539, 4353, 1362, 21234, 1110, 1382, 1207, 7453, 18536, 1300, 1170, 13144, 1167, 3483, 2752, 1561, 19439, 8370, 488, 132, 128, 130, 1305, 121, 6709, 3926, 3145, 2397, 3004, 1246, 1475, 12208, 1561, 6311, 9625, 11894, 2714, 1170, 1539, 4353, 1170, 7662, 1158, 13624, 1197, 8574, 9091, 2137, 1125, 25022, 12781, 1357, 1508, 4643, 1473, 1186, 5246, 1757, 25630, 1125, 14097, 12925, 4095, 3552, 27635, 1188, 1158, 3453, 119, 1816, 3643, 25243, 24389, 7581, 1317, 8655, 4910, 186, 1167, 1207, 21863, 1197, 2397, 20168, 1508, 2821, 2610, 1473, 1215, 6650, 1227, 1539, 7258, 11151, 1309, 2397, 3004, 1246, 1475, 1167, 1909, 24028, 3748, 16544, 1188, 1281, 15387, 1125, 14974, 5719, 1125, 1158, 17451, 1306, 3100, 1170, 13587, 8989, 18274, 2368, 3478, 2587, 119, 2929, 1199, 1188, 1158, 2768, 1170, 10973, 1167, 1170, 23711, 1125, 1165, 1558, 1313, 1158, 11507, 13476, 2585, 3342, 1622, 6369, 2183, 1207, 2069, 27986, 1234, 1939, 7155, 11898, 2587, 1160, 1125, 1440, 13587, 119, 28670, 2397, 20168, 7171, 1909, 2069, 4021, 1701, 1207, 1408, 3283, 1285, 1167, 5350, 1561, 5860, 8401, 1125, 11642, 3266, 18983, 4299, 11650, 1167, 5044, 1473, 1227, 4933, 1227, 9091, 1334, 4048, 1207, 488, 5246, 1757, 25630, 1125, 14097, 12925, 109, 2372, 173, 2089, 1313, 1170, 1270, 23190, 1167, 1508, 13390, 21501, 1215, 1207, 8574, 1227, 1539, 192, 8273, 1376, 2603, 2027, 1125, 1158, 6545, 1167, 1622, 1125, 27555, 21311, 1132, 4818, 1816, 5119, 1845, 6785, 2271, 1231, 178, 1192, 180, 1281, 2024, 3893, 1125, 3631, 14321, 1984, 1571, 1708, 1120, 2397, 20168, 1167, 2368, 4938, 5026, 25314, 1197, 8470, 9091, 9484, 1653, 6500, 1856, 1527, 1110, 10909, 15871, 24858, 6668, 1227, 1539, 192, 1167, 1594, 5136, 1300, 1158, 3734, 8468, 1227, 1671, 1475, 197, 2433, 1192, 180, 1288, 4715, 5631, 13315, 1188, 2968, 1374, 6933, 2209, 1207, 1691, 1124, 1485, 2397, 20168, 7552, 2136, 1158, 4541, 1125, 1192, 2433, 3557, 1594, 1962, 1285, 2271, 1231, 178, 1222, 3100, 1357, 2435, 6728, 6106, 11488, 1167, 5474, 17994, 2093, 2330, 192, 1175, 6921, 12125, 27401, 4094, 2397, 20168, 2073, 1146, 1137, 1148, 1125, 1539, 192, 11301, 16273, 17796, 1227, 2271, 176, 6298, 1305, 121, 6709, 3926, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 16100, 1231, 178, 1192, 180, 11564, 1299, 1170, 2423, 5119, 1137, 1148, 1227, 1539, 4353, 1189, 7271, 8142, 17796, 121, 1768, 27555, 2079, 13834, 488, 132, 130, 130, 1305, 121, 1321, 4207, 119, 1317, 4319, 1125, 1158, 4927, 1125, 1158, 1106, 27401, 4094, 2397, 20168, 121, 1768, 6728, 6106, 1188, 1594, 9159, 2271, 1231, 178, 1671, 2433, 1357, 3618, 1913, 1151, 1383, 1333, 1215, 1170, 10973, 2397, 20168, 1539, 1896, 194, 18509, 1167, 15740, 1317, 8824, 23166, 1740, 4192, 1125, 5119, 1137, 1148, 8509, 244, 2479, 1227, 27555, 1424, 155, 2388, 1170, 27555, 1125, 1192, 2433, 1170, 1539, 192, 4216, 1125, 2368, 1630, 1987, 4188, 2121, 19593, 1170, 5136, 1125, 5313, 1104, 1113, 1220, 1227, 20295, 1125, 1158, 17451, 18500, 1167, 1197, 1152, 1390, 1473, 31994, 1227, 1671, 1475, 17940, 1321, 180, 1475, 121, 12427, 2797, 4190, 4053, 119, 3557, 3672, 1594, 27555, 1980, 244, 1395, 1230, 1158, 6545, 1835, 1170, 1539, 192, 1167, 1158, 1106, 27401, 4094, 2397, 20168, 15826, 2904, 1112, 1469, 1158, 1106, 27401, 4094, 2397, 20168, 18604, 6500, 2750, 1309, 1909, 14547, 1416, 3402, 1392, 24479, 11129, 23969, 1207, 23885, 18001, 8030, 1167, 1362, 1182, 1125, 27302, 1229, 25022, 12781, 1170, 10973, 2397, 20168, 2397, 3004, 1246, 1475, 24389, 1594, 6510, 2079, 1170, 7758, 1167, 1281, 12208, 1313, 1318, 10604, 5625, 11894, 1167, 9644, 8469, 12495, 1303, 2079, 1170, 4779, 1227, 20295, 1227, 1671, 1475, 17940, 1321, 180, 1475, 1939, 1768, 1299, 8709, 1125, 1880, 1995, 3371, 13315, 1256, 1170, 7758, 1299, 15923, 1188, 20790, 1214, 1125, 3355, 3389, 8823, 1150, 27875, 1186, 4972, 1541, 1197, 2397, 20168, 1186, 2368, 1320, 1436, 1199, 1197, 23388, 1227, 20295, 1227, 1671, 1475, 17940, 1859, 1188, 18740, 1445, 1125, 18449, 7478, 1187, 1215, 1170, 1113, 4824, 1362, 1158, 12698, 1125, 31657, 1189, 1152, 1322, 1132, 1186, 3627, 1125, 8753, 4202, 19846, 2040, 1723, 1313, 2183, 1207, 7682, 1158, 6545, 8718, 6365, 1125, 13834, 488, 132, 129, 124, 1305, 121, 6709, 3926, 29637, 1189, 3151, 9058, 1170, 5016, 1197, 20373, 1299, 20468, 1571, 25022, 12781, 1357, 12789, 27693, 1207, 488, 125, 129, 15058, 1152, 1322, 1541, 1227, 1539, 192, 25393, 1313, 1158, 22119, 1125, 1158, 17451, 1306, 3100, 1167, 2368, 1320, 6471, 1125, 1158, 17128, 1227, 1539, 4353, 5639, 1197, 2383, 190, 1321, 2064, 19593, 2442, 12030, 1170, 5136, 1125, 1158, 6233, 10019, 1188, 21204, 1227, 29792, 18500, 1167, 1317, 8030, 1227, 1671, 1475, 197, 3266, 4651, 1251, 6304, 17159, 1158, 1226, 1213, 3402, 1125, 20890, 1298, 179, 3100, 1357, 1964, 12425, 1125, 2989, 3657, 1167, 11894, 1313, 1158, 3734, 121, 3350, 2397, 20168, 2397, 3004, 1246, 1475, 24391, 1286, 1188, 1191, 27765, 13288, 1170, 1539, 4353, 1362, 21234, 1110, 1382, 1207, 7453, 18536, 1300, 1170, 13144, 1167, 3483, 2752, 1561, 19439, 8370, 488, 132, 128, 130, 1305, 121, 6709, 3926, 3145, 2397, 3004, 1246, 1475, 12208, 1561, 6311, 9625, 11894, 2714, 1170, 1539, 4353, 1170, 7662, 1158, 13624, 1197, 8574, 9091, 2137, 1125, 25022, 12781, 1357, 1508, 4643, 1473, 1186, 5246, 1757, 25630, 1125, 14097, 12925, 4095, 3552, 27635, 1188, 1158, 3453, 119, 1816, 3643, 25243, 24389, 7581, 1317, 8655, 4910, 186, 1167, 1207, 21863, 1197, 2397, 20168, 1508, 2821, 2610, 1473, 1215, 6650, 1227, 1539, 7258, 11151, 1309, 2397, 3004, 1246, 1475, 1167, 1909, 24028, 3748, 16544, 1188, 1281, 15387, 1125, 14974, 5719, 1125, 1158, 17451, 1306, 3100, 1170, 13587, 8989, 18274, 2368, 3478, 2587, 119, 2929, 1199, 1188, 1158, 2768, 1170, 10973, 1167, 1170, 23711, 1125, 1165, 1558, 1313, 1158, 11507, 13476, 2585, 3342, 1622, 6369, 2183, 1207, 2069, 27986, 1234, 1939, 7155, 11898, 2587, 1160, 1125, 1440, 13587, 119, 28670, 2397, 20168, 7171, 1909, 2069, 4021, 1701, 1207, 1408, 3283, 1285, 1167, 5350, 1561, 5860, 8401, 1125, 11642, 3266, 18983, 4299, 11650, 1167, 5044, 1473, 1227, 4933, 1227, 9091, 1334, 4048, 1207, 488, 5246, 1757, 25630, 1125, 14097, 12925, 109, 2372, 173, 2089, 1313, 1170, 1270, 23190, 1167, 1508, 13390, 21501, 1215, 1207, 8574, 1227, 1539, 192, 8273, 1376, 2603, 2027, 1125, 1158, 6545, 1167, 1622, 1125, 27555, 21311, 1132, 4818, 1816, 5119, 1845, 6785, 2271, 1231, 178, 1192, 180, 1281, 2024, 3893, 1125, 3631, 14321, 1984, 1571, 1708, 1120, 2397, 20168, 1167, 2368, 4938, 5026, 25314, 1197, 8470, 9091, 9484, 1653, 6500, 1856, 1527, 1110, 10909, 15871, 24858, 6668, 1227, 1539, 192, 1167, 1594, 5136, 1300, 1158, 3734, 8468, 1227, 1671, 1475, 197, 2433, 1192, 180, 1288, 4715, 5631, 13315, 1188, 2968, 1374, 6933, 2209, 1207, 1691, 1124, 1485, 2397, 20168, 7552, 2136, 1158, 4541, 1125, 1192, 2433, 3557, 1594, 1962, 1285, 2271, 1231, 178, 1222, 3100, 1357, 2435, 6728, 6106, 11488, 1167, 5474, 17994, 2093, 2330, 192, 1175, 6921, 12125, 27401, 4094, 2397, 20168, 2073, 1146, 1137, 1148, 1125, 1539, 192, 11301, 16273, 17796, 1227, 2271, 176, 6298, 1305, 121, 6709, 3926, 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, 12616, 1204, 3235, 1299, 1318, 17451, 5964, 1357, 2077, 1126, 1313, 1170, 5927, 1227, 1352, 13649, 3450, 5909, 1561, 3869, 1313, 1170, 25933, 1197, 6353, 1842, 1317, 1600, 1125, 2855, 2251, 1140, 2950, 1175, 3417, 1515, 1125, 1233, 1351, 1104, 12387, 3046, 1195, 1180, 1141, 116, 7041, 2750, 1189, 3285, 1188, 1996, 5639, 1685, 1401, 2042, 2079, 21204, 3243, 1404, 120, 7965, 1281, 1225, 1567, 1313, 1158, 1293, 2645, 3476, 1186, 2811, 1196, 2143, 6196, 1996, 2567, 5370, 1293, 2965, 3595, 7552, 7662, 1125, 4110, 1440, 1874, 2391, 1125, 1158, 4759, 1303, 1227, 7130, 1125, 1643, 1204, 3235, 119, 2399, 11102, 1378, 1606, 17451, 1197, 8830, 1541, 1524, 1186, 1675, 1258, 1167, 1606, 1152, 1390, 1105, 1125, 2855, 2251, 1140, 2950, 1524, 1188, 1561, 3869, 121, 3450, 14882, 1125, 2205, 5087, 1152, 1390, 1376, 1167, 1177, 9895, 9484, 6218, 7774, 2385, 10536, 1129, 1299, 1158, 1352, 5020, 1357, 1139, 6146, 1571, 15447, 1125, 10302, 1383, 17192, 1167, 1125, 1233, 1351, 1104, 12387, 3046, 1195, 1180, 1141, 7552, 1319, 10536, 1610, 12616, 1204, 3235, 2803, 488, 125, 123, 2385, 10536, 1610, 10250, 1535, 1234, 2442, 1309, 1125, 5087, 2905, 1317, 3285, 2205, 5682, 11336, 1203, 1374, 3803, 1390, 1105, 1125, 1248, 6026, 1140, 1424, 161, 1390, 1105, 1227, 1165, 3740, 1197, 1204, 1261, 1376, 1424, 161, 1390, 1105, 1125, 1158, 20105, 1217, 1378, 2073, 1390, 1105, 1227, 1252, 1255, 1141, 1424, 161, 1390, 1105, 1227, 1204, 2292, 1132, 2073, 1390, 1105, 1227, 7812, 2240, 2073, 1390, 1105, 1197, 12116, 4519, 1750, 9895, 1334, 1125, 1233, 2696, 1119, 2073, 1390, 1105, 1197, 8830, 1541, 1750, 9895, 1334, 1125, 1158, 26314, 1204, 2529, 2073, 1390, 1105, 1125, 26900, 1196, 6214, 1438, 1750, 9895, 1334, 1125, 1233, 2759, 1105, 2073, 1390, 1105, 1197, 1202, 9254, 2298, 1424, 161, 1390, 1105, 1125, 1158, 17499, 1108, 1774, 1424, 157, 9895, 1334, 1125, 14922, 1252, 9599, 176, 1424, 161, 1390, 1105, 1125, 1158, 3066, 1542, 1567, 2895, 1352, 5020, 1424, 157, 9895, 1334, 1125, 1165, 11519, 1750, 1342, 1109, 1227, 1321, 1141, 1750, 9895, 1334, 1227, 7413, 1140, 1194, 2951, 174, 1627, 1424, 1233, 1351, 1104, 12387, 3046, 1195, 1180, 1141, 106, 1643, 1204, 3235, 106, 1165, 1307, 30878, 9323, 1167, 5474, 12498, 1627, 11739, 1313, 1170, 20934, 32001, 1424, 32000, 20036, 2895, 1204, 3235, 1299, 1318, 17451, 5964, 1357, 2077, 1126, 1313, 1170, 5927, 1227, 1352, 13649, 3450, 5909, 1561, 3869, 1313, 1170, 25933, 1197, 6353, 1842, 1317, 1600, 1125, 2855, 2251, 1140, 2950, 1175, 3417, 1515, 1125, 1233, 1351, 1104, 12387, 3046, 1195, 1180, 1141, 116, 7041, 2750, 1189, 3285, 1188, 1996, 5639, 1685, 1401, 2042, 2079, 21204, 3243, 1404, 120, 7965, 1281, 1225, 1567, 1313, 1158, 1293, 2645, 3476, 1186, 2811, 1196, 2143, 6196, 1996, 2567, 5370, 1293, 2965, 3595, 7552, 7662, 1125, 4110, 1440, 1874, 2391, 1125, 1158, 4759, 1303, 1227, 7130, 1125, 1643, 1204, 3235, 119, 2399, 11102, 1378, 1606, 17451, 1197, 8830, 1541, 1524, 1186, 1675, 1258, 1167, 1606, 1152, 1390, 1105, 1125, 2855, 2251, 1140, 2950, 1524, 1188, 1561, 3869, 121, 3450, 14882, 1125, 2205, 5087, 1152, 1390, 1376, 1167, 1177, 9895, 9484, 6218, 7774, 2385, 10536, 1129, 1299, 1158, 1352, 5020, 1357, 1139, 6146, 1571, 15447, 1125, 10302, 1383, 17192, 1167, 1125, 1233, 1351, 1104, 12387, 3046, 1195, 1180, 1141, 7552, 1319, 10536, 1610, 12616, 1204, 3235, 2803, 488, 125, 123, 2385, 10536, 1610, 10250, 1535, 1234, 2442, 1309, 1125, 5087, 2905, 1317, 3285, 2205, 5682, 11336, 1203, 1374, 3803, 1390, 1105, 1125, 1248, 6026, 1140, 1424, 161, 1390, 1105, 1227, 1165, 3740, 1197, 1204, 1261, 1376, 1424, 161, 1390, 1105, 1125, 1158, 20105, 1217, 1378, 2073, 1390, 1105, 1227, 1252, 1255, 1141, 1424, 161, 1390, 1105, 1227, 1204, 2292, 1132, 2073, 1390, 1105, 1227, 7812, 2240, 2073, 1390, 1105, 1197, 12116, 4519, 1750, 9895, 1334, 1125, 1233, 2696, 1119, 2073, 1390, 1105, 1197, 8830, 1541, 1750, 9895, 1334, 1125, 1158, 26314, 1204, 2529, 2073, 1390, 1105, 1125, 26900, 1196, 6214, 1438, 1750, 9895, 1334, 1125, 1233, 2759, 1105, 2073, 1390, 1105, 1197, 1202, 9254, 2298, 1424, 161, 1390, 1105, 1125, 1158, 17499, 1108, 1774, 1424, 157, 9895, 1334, 1125, 14922, 1252, 9599, 176, 1424, 161, 1390, 1105, 1125, 1158, 3066, 1542, 1567, 2895, 1352, 5020, 1424, 157, 9895, 1334, 1125, 1165, 11519, 1750, 1342, 1109, 1227, 1321, 1141, 1750, 9895, 1334, 1227, 7413, 1140, 1194, 2951, 174, 1627, 1424, 1233, 1351, 1104, 12387, 3046, 1195, 1180, 1141, 106, 1643, 1204, 3235, 106, 1165, 1307, 30878, 9323, 1167, 5474, 12498, 1627, 11739, 1313, 1170, 20934, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1204, 3235, 1299, 1318, 17451, 5964, 1357, 2077, 1126, 1313, 1170, 5927, 1227, 1352, 13649, 3450, 5909, 1561, 3869, 1313, 1170, 25933, 1197, 6353, 1842, 1317, 1600, 1125, 2855, 2251, 1140, 2950, 1175, 3417, 1515, 1125, 1233, 1351, 1104, 12387, 3046, 1195, 1180, 1141, 116, 7041, 2750, 1189, 3285, 1188, 1996, 5639, 1685, 1401, 2042, 2079, 21204, 3243, 1404, 120, 7965, 1281, 1225, 1567, 1313, 1158, 1293, 2645, 3476, 1186, 2811, 1196, 2143, 6196, 1996, 2567, 5370, 1293, 2965, 3595, 7552, 7662, 1125, 4110, 1440, 1874, 2391, 1125, 1158, 4759, 1303, 1227, 7130, 1125, 1643, 1204, 3235, 119, 2399, 11102, 1378, 1606, 17451, 1197, 8830, 1541, 1524, 1186, 1675, 1258, 1167, 1606, 1152, 1390, 1105, 1125, 2855, 2251, 1140, 2950, 1524, 1188, 1561, 3869, 121, 3450, 14882, 1125, 2205, 5087, 1152, 1390, 1376, 1167, 1177, 9895, 9484, 6218, 7774, 2385, 10536, 1129, 1299, 1158, 1352, 5020, 1357, 1139, 6146, 1571, 15447, 1125, 10302, 1383, 17192, 1167, 1125, 1233, 1351, 1104, 12387, 3046, 1195, 1180, 1141, 7552, 1319, 10536, 1610, 12616, 1204, 3235, 2803, 488, 125, 123, 2385, 10536, 1610, 10250, 1535, 1234, 2442, 1309, 1125, 5087, 2905, 1317, 3285, 2205, 5682, 11336, 1203, 1374, 3803, 1390, 1105, 1125, 1248, 6026, 1140, 1424, 161, 1390, 1105, 1227, 1165, 3740, 1197, 1204, 1261, 1376, 1424, 161, 1390, 1105, 1125, 1158, 20105, 1217, 1378, 2073, 1390, 1105, 1227, 1252, 1255, 1141, 1424, 161, 1390, 1105, 1227, 1204, 2292, 1132, 2073, 1390, 1105, 1227, 7812, 2240, 2073, 1390, 1105, 1197, 12116, 4519, 1750, 9895, 1334, 1125, 1233, 2696, 1119, 2073, 1390, 1105, 1197, 8830, 1541, 1750, 9895, 1334, 1125, 1158, 26314, 1204, 2529, 2073, 1390, 1105, 1125, 26900, 1196, 6214, 1438, 1750, 9895, 1334, 1125, 1233, 2759, 1105, 2073, 1390, 1105, 1197, 1202, 9254, 2298, 1424, 161, 1390, 1105, 1125, 1158, 17499, 1108, 1774, 1424, 157, 9895, 1334, 1125, 14922, 1252, 9599, 176, 1424, 161, 1390, 1105, 1125, 1158, 3066, 1542, 1567, 2895, 1352, 5020, 1424, 157, 9895, 1334, 1125, 1165, 11519, 1750, 1342, 1109, 1227, 1321, 1141, 1750, 9895, 1334, 1227, 7413, 1140, 1194, 2951, 174, 1627, 1424, 1233, 1351, 1104, 12387, 3046, 1195, 1180, 1141, 106, 1643, 1204, 3235, 106, 1165, 1307, 30878, 9323, 1167, 5474, 12498, 1627, 11739, 1313, 1170, 20934, 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, 2439, 15970, 1248, 11204, 1132, 5252, 1170, 488, 127, 2578, 488, 124, 130, 126, 131, 1188, 1922, 5899, 2585, 1527, 1299, 4541, 1170, 488, 125, 127, 2875, 488, 124, 131, 124, 124, 119, 1299, 1189, 18866, 2720, 14231, 1194, 17696, 2252, 21965, 1248, 11204, 1132, 1139, 6146, 1186, 488, 124, 130, 126, 131, 1188, 1922, 1328, 1313, 1318, 4446, 1357, 9526, 1214, 1207, 5814, 1297, 6218, 9159, 5854, 1158, 13391, 1186, 23303, 1167, 1594, 2511, 3130, 1450, 2406, 10653, 1299, 1170, 21359, 1836, 1202, 1376, 1222, 1156, 31727, 15722, 2335, 3419, 21359, 1836, 1400, 31075, 1354, 1408, 2034, 4353, 3699, 1222, 1156, 2466, 1175, 124, 129, 127, 129, 120, 124, 130, 125, 130, 4023, 20616, 4096, 1768, 18764, 7581, 1125, 6344, 4021, 1346, 18812, 1197, 18469, 1285, 4855, 1317, 8780, 2335, 1125, 1909, 31517, 1170, 18866, 19208, 1125, 1233, 2677, 1860, 1125, 21254, 5030, 119, 12905, 2511, 3248, 1125, 11188, 1186, 6843, 3988, 1357, 1281, 2367, 1186, 12975, 1272, 1469, 1561, 25605, 18851, 8370, 488, 124, 130, 129, 123, 119, 1188, 1158, 10544, 1125, 1594, 1288, 1196, 192, 10759, 5294, 1128, 1585, 119, 1189, 1197, 4661, 1125, 1561, 25605, 1165, 3179, 3603, 1527, 21180, 1922, 1328, 1256, 18069, 1188, 12547, 10070, 1125, 10721, 15422, 29754, 2585, 1527, 1299, 1282, 14186, 1125, 3699, 28688, 1548, 25532, 1374, 8370, 488, 124, 130, 130, 128, 119, 1188, 1158, 4541, 1125, 1594, 5188, 24724, 6909, 1527, 14065, 1188, 1922, 5899, 2368, 31185, 1125, 1909, 1114, 21113, 1167, 15127, 1188, 23699, 1125, 1594, 1288, 1196, 192, 10759, 5294, 1128, 1585, 121, 4511, 1158, 1622, 1125, 1561, 12835, 1527, 1281, 2627, 25537, 25911, 1125, 1158, 6843, 7471, 18335, 488, 124, 130, 131, 129, 119, 1527, 1288, 6843, 5854, 1160, 6698, 2648, 2079, 488, 124, 131, 123, 123, 119, 5909, 1207, 8700, 1125, 6248, 1125, 15512, 1125, 1158, 3837, 17194, 1328, 1388, 2439, 15970, 1248, 11204, 1132, 19859, 1188, 1922, 1328, 1170, 488, 125, 127, 2875, 488, 124, 131, 124, 124, 1388, 282, 10843, 6218, 3838, 2368, 2256, 1679, 1317, 5252, 1237, 14875, 1146, 22270, 1768, 6843, 1197, 3647, 2984, 16185, 7029, 26817, 119, 1723, 1527, 1299, 5350, 31973, 244, 1215, 1207, 3647, 2984, 12006, 1188, 1158, 2492, 2032, 3701, 1186, 6564, 1207, 4126, 6862, 1400, 31075, 2624, 8155, 14331, 5294, 1128, 1585, 17194, 1328, 23951, 3171, 1125, 1909, 3267, 4542, 2487, 1594, 3743, 10468, 1125, 11888, 1278, 1188, 1922, 1328, 6843, 1186, 488, 124, 130, 129, 123, 121, 1768, 5004, 1189, 18786, 1400, 31075, 1354, 2585, 4593, 11888, 1136, 3123, 2368, 2949, 1491, 1129, 1188, 1964, 17299, 119, 2962, 1152, 245, 1585, 1104, 3702, 1158, 4334, 17194, 1328, 1257, 5616, 192, 1167, 6918, 1457, 1548, 3080, 1227, 11426, 1299, 1189, 7144, 2585, 1508, 29360, 1813, 3171, 1708, 6482, 8952, 1457, 1548, 14331, 23951, 2445, 1909, 26157, 3559, 1922, 31075, 3556, 1167, 1548, 3795, 1343, 1112, 1167, 1561, 30799, 12932, 30955, 2435, 2004, 1913, 9331, 12854, 1188, 1922, 5899, 1186, 488, 124, 132, 125, 128, 1167, 488, 124, 132, 130, 130, 8155, 11426, 3559, 6018, 1746, 7352, 5416, 244, 1317, 14331, 1197, 3032, 1541, 26258, 1634, 1167, 17194, 3134, 4058, 10935, 4853, 1416, 1122, 15163, 1188, 11814, 7821, 1299, 31716, 1188, 1248, 11204, 1132, 1388, 282, 19760, 11050, 1757, 28739, 7604, 4377, 14331, 26429, 1130, 1257, 2576, 2233, 31075, 28355, 1922, 1328, 1257, 14331, 5294, 1128, 1585, 1257, 3698, 1273, 1249, 3144, 2040, 3743, 10468, 1125, 11888, 1278, 17194, 1328, 2040, 1643, 31332, 1227, 6843, 2944, 2079, 488, 124, 130, 131, 123, 121, 1204, 1632, 1105, 1922, 10594, 1108, 1257, 5370, 3144, 1125, 30032, 2040, 1200, 1435, 1632, 1317, 13587, 1125, 1282, 12838, 8602, 1165, 4424, 1292, 2114, 17046, 5519, 8188, 1257, 1643, 2769, 4043, 2240, 1571, 1192, 1269, 2865, 1916, 1285, 488, 124, 130, 130, 129, 121, 12177, 9992, 14331, 1293, 10672, 1130, 4101, 1219, 1217, 3649, 1257, 5370, 3144, 17194, 31075, 3556, 1571, 17510, 19124, 2040, 5370, 3144, 17194, 31075, 3556, 1571, 8973, 8642, 1153, 2040, 5370, 3144, 17194, 31075, 3556, 11488, 1167, 5474, 25194, 17935, 17994, 121, 16703, 1539, 2677, 2114, 1606, 1808, 14635, 1400, 31075, 2624, 1197, 11402, 31549, 1167, 26851, 6298, 3133, 1147, 1922, 1328, 1167, 1158, 23608, 119, 488, 124, 132, 131, 132, 9994, 2624, 5825, 12662, 176, 1343, 1112, 2720, 1227, 11402, 31549, 6298, 3795, 1343, 1112, 2720, 1227, 26851, 6298, 1266, 3400, 1186, 2578, 488, 124, 130, 126, 131, 1266, 3400, 1188, 1922, 1328, 6064, 1467, 1186, 2875, 488, 124, 131, 124, 124, 6064, 1467, 1188, 1922, 1328, 6064, 1467, 1188, 488, 130, 125, 8793, 32001, 1424, 32000, 20036, 4401, 15970, 1248, 11204, 1132, 5252, 1170, 488, 127, 2578, 488, 124, 130, 126, 131, 1188, 1922, 5899, 2585, 1527, 1299, 4541, 1170, 488, 125, 127, 2875, 488, 124, 131, 124, 124, 119, 1299, 1189, 18866, 2720, 14231, 1194, 17696, 2252, 21965, 1248, 11204, 1132, 1139, 6146, 1186, 488, 124, 130, 126, 131, 1188, 1922, 1328, 1313, 1318, 4446, 1357, 9526, 1214, 1207, 5814, 1297, 6218, 9159, 5854, 1158, 13391, 1186, 23303, 1167, 1594, 2511, 3130, 1450, 2406, 10653, 1299, 1170, 21359, 1836, 1202, 1376, 1222, 1156, 31727, 15722, 2335, 3419, 21359, 1836, 1400, 31075, 1354, 1408, 2034, 4353, 3699, 1222, 1156, 2466, 1175, 124, 129, 127, 129, 120, 124, 130, 125, 130, 4023, 20616, 4096, 1768, 18764, 7581, 1125, 6344, 4021, 1346, 18812, 1197, 18469, 1285, 4855, 1317, 8780, 2335, 1125, 1909, 31517, 1170, 18866, 19208, 1125, 1233, 2677, 1860, 1125, 21254, 5030, 119, 12905, 2511, 3248, 1125, 11188, 1186, 6843, 3988, 1357, 1281, 2367, 1186, 12975, 1272, 1469, 1561, 25605, 18851, 8370, 488, 124, 130, 129, 123, 119, 1188, 1158, 10544, 1125, 1594, 1288, 1196, 192, 10759, 5294, 1128, 1585, 119, 1189, 1197, 4661, 1125, 1561, 25605, 1165, 3179, 3603, 1527, 21180, 1922, 1328, 1256, 18069, 1188, 12547, 10070, 1125, 10721, 15422, 29754, 2585, 1527, 1299, 1282, 14186, 1125, 3699, 28688, 1548, 25532, 1374, 8370, 488, 124, 130, 130, 128, 119, 1188, 1158, 4541, 1125, 1594, 5188, 24724, 6909, 1527, 14065, 1188, 1922, 5899, 2368, 31185, 1125, 1909, 1114, 21113, 1167, 15127, 1188, 23699, 1125, 1594, 1288, 1196, 192, 10759, 5294, 1128, 1585, 121, 4511, 1158, 1622, 1125, 1561, 12835, 1527, 1281, 2627, 25537, 25911, 1125, 1158, 6843, 7471, 18335, 488, 124, 130, 131, 129, 119, 1527, 1288, 6843, 5854, 1160, 6698, 2648, 2079, 488, 124, 131, 123, 123, 119, 5909, 1207, 8700, 1125, 6248, 1125, 15512, 1125, 1158, 3837, 17194, 1328, 1388, 2439, 15970, 1248, 11204, 1132, 19859, 1188, 1922, 1328, 1170, 488, 125, 127, 2875, 488, 124, 131, 124, 124, 1388, 282, 10843, 6218, 3838, 2368, 2256, 1679, 1317, 5252, 1237, 14875, 1146, 22270, 1768, 6843, 1197, 3647, 2984, 16185, 7029, 26817, 119, 1723, 1527, 1299, 5350, 31973, 244, 1215, 1207, 3647, 2984, 12006, 1188, 1158, 2492, 2032, 3701, 1186, 6564, 1207, 4126, 6862, 1400, 31075, 2624, 8155, 14331, 5294, 1128, 1585, 17194, 1328, 23951, 3171, 1125, 1909, 3267, 4542, 2487, 1594, 3743, 10468, 1125, 11888, 1278, 1188, 1922, 1328, 6843, 1186, 488, 124, 130, 129, 123, 121, 1768, 5004, 1189, 18786, 1400, 31075, 1354, 2585, 4593, 11888, 1136, 3123, 2368, 2949, 1491, 1129, 1188, 1964, 17299, 119, 2962, 1152, 245, 1585, 1104, 3702, 1158, 4334, 17194, 1328, 1257, 5616, 192, 1167, 6918, 1457, 1548, 3080, 1227, 11426, 1299, 1189, 7144, 2585, 1508, 29360, 1813, 3171, 1708, 6482, 8952, 1457, 1548, 14331, 23951, 2445, 1909, 26157, 3559, 1922, 31075, 3556, 1167, 1548, 3795, 1343, 1112, 1167, 1561, 30799, 12932, 30955, 2435, 2004, 1913, 9331, 12854, 1188, 1922, 5899, 1186, 488, 124, 132, 125, 128, 1167, 488, 124, 132, 130, 130, 8155, 11426, 3559, 6018, 1746, 7352, 5416, 244, 1317, 14331, 1197, 3032, 1541, 26258, 1634, 1167, 17194, 3134, 4058, 10935, 4853, 1416, 1122, 15163, 1188, 11814, 7821, 1299, 31716, 1188, 1248, 11204, 1132, 1388, 282, 19760, 11050, 1757, 28739, 7604, 4377, 14331, 26429, 1130, 1257, 2576, 2233, 31075, 28355, 1922, 1328, 1257, 14331, 5294, 1128, 1585, 1257, 3698, 1273, 1249, 3144, 2040, 3743, 10468, 1125, 11888, 1278, 17194, 1328, 2040, 1643, 31332, 1227, 6843, 2944, 2079, 488, 124, 130, 131, 123, 121, 1204, 1632, 1105, 1922, 10594, 1108, 1257, 5370, 3144, 1125, 30032, 2040, 1200, 1435, 1632, 1317, 13587, 1125, 1282, 12838, 8602, 1165, 4424, 1292, 2114, 17046, 5519, 8188, 1257, 1643, 2769, 4043, 2240, 1571, 1192, 1269, 2865, 1916, 1285, 488, 124, 130, 130, 129, 121, 12177, 9992, 14331, 1293, 10672, 1130, 4101, 1219, 1217, 3649, 1257, 5370, 3144, 17194, 31075, 3556, 1571, 17510, 19124, 2040, 5370, 3144, 17194, 31075, 3556, 1571, 8973, 8642, 1153, 2040, 5370, 3144, 17194, 31075, 3556, 11488, 1167, 5474, 25194, 17935, 17994, 121, 16703, 1539, 2677, 2114, 1606, 1808, 14635, 1400, 31075, 2624, 1197, 11402, 31549, 1167, 26851, 6298, 3133, 1147, 1922, 1328, 1167, 1158, 23608, 119, 488, 124, 132, 131, 132, 9994, 2624, 5825, 12662, 176, 1343, 1112, 2720, 1227, 11402, 31549, 6298, 3795, 1343, 1112, 2720, 1227, 26851, 6298, 1266, 3400, 1186, 2578, 488, 124, 130, 126, 131, 1266, 3400, 1188, 1922, 1328, 6064, 1467, 1186, 2875, 488, 124, 131, 124, 124, 6064, 1467, 1188, 1922, 1328, 6064, 1467, 1188, 488, 130, 125, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 4401, 15970, 1248, 11204, 1132, 5252, 1170, 488, 127, 2578, 488, 124, 130, 126, 131, 1188, 1922, 5899, 2585, 1527, 1299, 4541, 1170, 488, 125, 127, 2875, 488, 124, 131, 124, 124, 119, 1299, 1189, 18866, 2720, 14231, 1194, 17696, 2252, 21965, 1248, 11204, 1132, 1139, 6146, 1186, 488, 124, 130, 126, 131, 1188, 1922, 1328, 1313, 1318, 4446, 1357, 9526, 1214, 1207, 5814, 1297, 6218, 9159, 5854, 1158, 13391, 1186, 23303, 1167, 1594, 2511, 3130, 1450, 2406, 10653, 1299, 1170, 21359, 1836, 1202, 1376, 1222, 1156, 31727, 15722, 2335, 3419, 21359, 1836, 1400, 31075, 1354, 1408, 2034, 4353, 3699, 1222, 1156, 2466, 1175, 124, 129, 127, 129, 120, 124, 130, 125, 130, 4023, 20616, 4096, 1768, 18764, 7581, 1125, 6344, 4021, 1346, 18812, 1197, 18469, 1285, 4855, 1317, 8780, 2335, 1125, 1909, 31517, 1170, 18866, 19208, 1125, 1233, 2677, 1860, 1125, 21254, 5030, 119, 12905, 2511, 3248, 1125, 11188, 1186, 6843, 3988, 1357, 1281, 2367, 1186, 12975, 1272, 1469, 1561, 25605, 18851, 8370, 488, 124, 130, 129, 123, 119, 1188, 1158, 10544, 1125, 1594, 1288, 1196, 192, 10759, 5294, 1128, 1585, 119, 1189, 1197, 4661, 1125, 1561, 25605, 1165, 3179, 3603, 1527, 21180, 1922, 1328, 1256, 18069, 1188, 12547, 10070, 1125, 10721, 15422, 29754, 2585, 1527, 1299, 1282, 14186, 1125, 3699, 28688, 1548, 25532, 1374, 8370, 488, 124, 130, 130, 128, 119, 1188, 1158, 4541, 1125, 1594, 5188, 24724, 6909, 1527, 14065, 1188, 1922, 5899, 2368, 31185, 1125, 1909, 1114, 21113, 1167, 15127, 1188, 23699, 1125, 1594, 1288, 1196, 192, 10759, 5294, 1128, 1585, 121, 4511, 1158, 1622, 1125, 1561, 12835, 1527, 1281, 2627, 25537, 25911, 1125, 1158, 6843, 7471, 18335, 488, 124, 130, 131, 129, 119, 1527, 1288, 6843, 5854, 1160, 6698, 2648, 2079, 488, 124, 131, 123, 123, 119, 5909, 1207, 8700, 1125, 6248, 1125, 15512, 1125, 1158, 3837, 17194, 1328, 1388, 2439, 15970, 1248, 11204, 1132, 19859, 1188, 1922, 1328, 1170, 488, 125, 127, 2875, 488, 124, 131, 124, 124, 1388, 282, 10843, 6218, 3838, 2368, 2256, 1679, 1317, 5252, 1237, 14875, 1146, 22270, 1768, 6843, 1197, 3647, 2984, 16185, 7029, 26817, 119, 1723, 1527, 1299, 5350, 31973, 244, 1215, 1207, 3647, 2984, 12006, 1188, 1158, 2492, 2032, 3701, 1186, 6564, 1207, 4126, 6862, 1400, 31075, 2624, 8155, 14331, 5294, 1128, 1585, 17194, 1328, 23951, 3171, 1125, 1909, 3267, 4542, 2487, 1594, 3743, 10468, 1125, 11888, 1278, 1188, 1922, 1328, 6843, 1186, 488, 124, 130, 129, 123, 121, 1768, 5004, 1189, 18786, 1400, 31075, 1354, 2585, 4593, 11888, 1136, 3123, 2368, 2949, 1491, 1129, 1188, 1964, 17299, 119, 2962, 1152, 245, 1585, 1104, 3702, 1158, 4334, 17194, 1328, 1257, 5616, 192, 1167, 6918, 1457, 1548, 3080, 1227, 11426, 1299, 1189, 7144, 2585, 1508, 29360, 1813, 3171, 1708, 6482, 8952, 1457, 1548, 14331, 23951, 2445, 1909, 26157, 3559, 1922, 31075, 3556, 1167, 1548, 3795, 1343, 1112, 1167, 1561, 30799, 12932, 30955, 2435, 2004, 1913, 9331, 12854, 1188, 1922, 5899, 1186, 488, 124, 132, 125, 128, 1167, 488, 124, 132, 130, 130, 8155, 11426, 3559, 6018, 1746, 7352, 5416, 244, 1317, 14331, 1197, 3032, 1541, 26258, 1634, 1167, 17194, 3134, 4058, 10935, 4853, 1416, 1122, 15163, 1188, 11814, 7821, 1299, 31716, 1188, 1248, 11204, 1132, 1388, 282, 19760, 11050, 1757, 28739, 7604, 4377, 14331, 26429, 1130, 1257, 2576, 2233, 31075, 28355, 1922, 1328, 1257, 14331, 5294, 1128, 1585, 1257, 3698, 1273, 1249, 3144, 2040, 3743, 10468, 1125, 11888, 1278, 17194, 1328, 2040, 1643, 31332, 1227, 6843, 2944, 2079, 488, 124, 130, 131, 123, 121, 1204, 1632, 1105, 1922, 10594, 1108, 1257, 5370, 3144, 1125, 30032, 2040, 1200, 1435, 1632, 1317, 13587, 1125, 1282, 12838, 8602, 1165, 4424, 1292, 2114, 17046, 5519, 8188, 1257, 1643, 2769, 4043, 2240, 1571, 1192, 1269, 2865, 1916, 1285, 488, 124, 130, 130, 129, 121, 12177, 9992, 14331, 1293, 10672, 1130, 4101, 1219, 1217, 3649, 1257, 5370, 3144, 17194, 31075, 3556, 1571, 17510, 19124, 2040, 5370, 3144, 17194, 31075, 3556, 1571, 8973, 8642, 1153, 2040, 5370, 3144, 17194, 31075, 3556, 11488, 1167, 5474, 25194, 17935, 17994, 121, 16703, 1539, 2677, 2114, 1606, 1808, 14635, 1400, 31075, 2624, 1197, 11402, 31549, 1167, 26851, 6298, 3133, 1147, 1922, 1328, 1167, 1158, 23608, 119, 488, 124, 132, 131, 132, 9994, 2624, 5825, 12662, 176, 1343, 1112, 2720, 1227, 11402, 31549, 6298, 3795, 1343, 1112, 2720, 1227, 26851, 6298, 1266, 3400, 1186, 2578, 488, 124, 130, 126, 131, 1266, 3400, 1188, 1922, 1328, 6064, 1467, 1186, 2875, 488, 124, 131, 124, 124, 6064, 1467, 1188, 1922, 1328, 6064, 1467, 1188, 488, 130, 125, 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, 144, 8948, 1876, 6044, 4816, 16155, 1180, 2086, 21685, 1254, 8948, 1876, 16155, 1180, 2086, 1299, 1318, 20926, 1632, 2167, 16349, 3556, 14232, 1188, 25999, 1125, 20533, 9249, 1170, 488, 124, 129, 2921, 488, 124, 132, 125, 123, 1167, 29372, 1313, 1158, 2076, 3837, 1170, 488, 130, 2738, 488, 124, 132, 132, 123, 121, 3767, 23464, 1238, 1158, 1300, 185, 2508, 1370, 1192, 3754, 3382, 1175, 3562, 3754, 3603, 1186, 30363, 1298, 1576, 3450, 16823, 1856, 29685, 1313, 3458, 22222, 3418, 1285, 2487, 3934, 21581, 14603, 2086, 1125, 1293, 1796, 172, 1125, 1192, 1829, 4353, 9665, 1186, 488, 124, 132, 128, 124, 14231, 14564, 1379, 1180, 186, 1299, 14232, 1188, 25999, 1125, 20533, 9249, 2040, 1594, 9159, 3031, 1189, 30688, 1125, 31107, 1538, 2240, 1357, 2368, 1183, 2983, 2288, 1370, 1188, 1158, 28480, 1167, 1561, 10023, 3031, 1318, 20926, 1632, 23303, 121, 1254, 8948, 1876, 1110, 13551, 1188, 9963, 1188, 1189, 19412, 2671, 186, 1159, 121, 8637, 488, 124, 132, 126, 123, 1167, 488, 124, 132, 126, 128, 119, 2399, 3031, 119, 1835, 16085, 14175, 1632, 1167, 22492, 176, 17847, 3450, 1110, 1913, 12381, 1215, 20330, 1560, 18003, 1172, 1195, 2391, 2519, 12663, 22008, 1256, 1594, 488, 124, 129, 176, 11707, 3693, 1188, 5685, 1170, 4501, 1354, 3618, 1913, 4062, 180, 3502, 20330, 11341, 1895, 8676, 1303, 1188, 1248, 236, 1331, 186, 3276, 1119, 1219, 5834, 2585, 119, 10336, 1282, 15511, 26551, 1125, 1594, 28391, 2399, 1299, 3851, 1277, 1300, 1170, 1951, 1800, 1724, 8587, 4527, 7497, 1469, 21851, 1849, 12550, 10408, 2086, 24865, 1780, 1125, 2068, 1232, 30576, 6044, 4816, 8910, 9412, 193, 1810, 3550, 1140, 9519, 172, 1167, 1918, 248, 18009, 1233, 1384, 1243, 172, 1170, 488, 124, 131, 3201, 488, 124, 132, 126, 129, 121, 1643, 6360, 2419, 7352, 2399, 1299, 26589, 1215, 1158, 7051, 1256, 27165, 1313, 1318, 21638, 19395, 7441, 4511, 1158, 3011, 1125, 1816, 3453, 5541, 119, 2399, 3811, 1281, 14868, 1313, 11376, 17560, 1469, 3171, 17087, 1125, 4879, 2181, 3762, 1207, 4092, 488, 124, 132, 129, 123, 119, 2399, 1110, 1561, 5865, 21638, 1125, 9421, 8370, 488, 124, 132, 128, 131, 119, 1254, 8948, 1876, 16155, 1180, 186, 1110, 1913, 23693, 1215, 12642, 2189, 1153, 1125, 7219, 172, 1104, 1188, 17581, 1189, 6030, 1125, 23070, 5617, 1104, 1215, 10028, 1167, 20313, 255, 185, 2504, 31100, 18361, 1195, 121, 1459, 2052, 10898, 488, 1165, 2196, 7587, 1560, 4148, 1121, 6411, 7655, 26903, 1299, 1170, 3151, 17908, 1317, 23464, 1188, 2123, 1278, 1125, 1158, 22709, 172, 21532, 1810, 6340, 1199, 1317, 21245, 1227, 3631, 7433, 10709, 121, 2576, 13507, 1299, 9053, 1300, 1170, 6009, 1252, 1182, 2036, 1643, 2076, 13407, 16155, 1180, 186, 31020, 1158, 3451, 17482, 1227, 13753, 1125, 1158, 22709, 172, 1579, 9269, 3318, 179, 238, 1125, 21040, 10646, 1256, 1207, 7571, 1227, 3418, 3225, 3849, 192, 4273, 178, 1150, 1388, 144, 8948, 1876, 1110, 4222, 244, 1188, 14170, 1107, 1167, 1188, 9571, 1469, 3713, 1125, 9672, 7328, 1561, 4541, 121, 3450, 1110, 14577, 1408, 1125, 488, 127, 123, 23371, 1317, 3261, 1234, 6152, 1317, 21709, 1167, 1313, 5610, 19105, 19321, 5639, 1125, 4593, 18817, 1429, 1125, 2492, 5774, 8640, 2399, 1110, 11925, 2201, 1125, 6344, 12149, 1125, 29158, 1723, 2399, 1299, 3295, 2377, 1303, 31772, 1188, 1158, 1114, 2724, 1810, 7230, 1110, 11925, 2201, 1469, 21179, 2086, 1440, 1357, 2435, 1110, 12608, 1197, 1300, 185, 10599, 7706, 1309, 1257, 21153, 1560, 1173, 2724, 1810, 1192, 19146, 2496, 172, 17043, 19146, 11190, 1496, 1167, 1170, 1408, 2034, 4353, 1192, 9580, 3382, 17043, 9580, 1314, 4023, 15273, 1180, 186, 1299, 29372, 2335, 10346, 1188, 19910, 1125, 488, 129, 132, 2165, 10177, 25868, 10791, 4501, 1354, 1125, 22083, 8403, 2324, 1532, 1252, 1120, 2021, 1110, 5617, 1186, 4428, 12132, 6348, 8948, 1876, 16155, 1180, 186, 1189, 29680, 1125, 22709, 172, 1579, 9269, 24137, 1254, 8948, 1130, 1965, 488, 14577, 1256, 1158, 3453, 2768, 1313, 26903, 1125, 488, 124, 132, 129, 125, 5863, 1198, 181, 4744, 2358, 1775, 1135, 2236, 7199, 1626, 10397, 1161, 19515, 1171, 3261, 1141, 1142, 1167, 12749, 2757, 1189, 6285, 1125, 22083, 8509, 2645, 4134, 1424, 130, 131, 17886, 1167, 488, 127, 128, 17886, 1194, 3681, 4354, 190, 9323, 1167, 16828, 5825, 2093, 2330, 2009, 1632, 2167, 16349, 3556, 4196, 2009, 1632, 1125, 22709, 172, 1579, 9269, 8156, 1186, 2921, 488, 124, 132, 125, 123, 8156, 1188, 25999, 1125, 20533, 9249, 9317, 1186, 2738, 488, 124, 132, 132, 123, 9317, 1188, 488, 129, 132, 2165, 9317, 1188, 25999, 1125, 20533, 9249, 114, 32001, 1424, 32000, 20036, 2586, 8948, 1876, 6044, 4816, 16155, 1180, 2086, 21685, 1254, 8948, 1876, 16155, 1180, 2086, 1299, 1318, 20926, 1632, 2167, 16349, 3556, 14232, 1188, 25999, 1125, 20533, 9249, 1170, 488, 124, 129, 2921, 488, 124, 132, 125, 123, 1167, 29372, 1313, 1158, 2076, 3837, 1170, 488, 130, 2738, 488, 124, 132, 132, 123, 121, 3767, 23464, 1238, 1158, 1300, 185, 2508, 1370, 1192, 3754, 3382, 1175, 3562, 3754, 3603, 1186, 30363, 1298, 1576, 3450, 16823, 1856, 29685, 1313, 3458, 22222, 3418, 1285, 2487, 3934, 21581, 14603, 2086, 1125, 1293, 1796, 172, 1125, 1192, 1829, 4353, 9665, 1186, 488, 124, 132, 128, 124, 14231, 14564, 1379, 1180, 186, 1299, 14232, 1188, 25999, 1125, 20533, 9249, 2040, 1594, 9159, 3031, 1189, 30688, 1125, 31107, 1538, 2240, 1357, 2368, 1183, 2983, 2288, 1370, 1188, 1158, 28480, 1167, 1561, 10023, 3031, 1318, 20926, 1632, 23303, 121, 1254, 8948, 1876, 1110, 13551, 1188, 9963, 1188, 1189, 19412, 2671, 186, 1159, 121, 8637, 488, 124, 132, 126, 123, 1167, 488, 124, 132, 126, 128, 119, 2399, 3031, 119, 1835, 16085, 14175, 1632, 1167, 22492, 176, 17847, 3450, 1110, 1913, 12381, 1215, 20330, 1560, 18003, 1172, 1195, 2391, 2519, 12663, 22008, 1256, 1594, 488, 124, 129, 176, 11707, 3693, 1188, 5685, 1170, 4501, 1354, 3618, 1913, 4062, 180, 3502, 20330, 11341, 1895, 8676, 1303, 1188, 1248, 236, 1331, 186, 3276, 1119, 1219, 5834, 2585, 119, 10336, 1282, 15511, 26551, 1125, 1594, 28391, 2399, 1299, 3851, 1277, 1300, 1170, 1951, 1800, 1724, 8587, 4527, 7497, 1469, 21851, 1849, 12550, 10408, 2086, 24865, 1780, 1125, 2068, 1232, 30576, 6044, 4816, 8910, 9412, 193, 1810, 3550, 1140, 9519, 172, 1167, 1918, 248, 18009, 1233, 1384, 1243, 172, 1170, 488, 124, 131, 3201, 488, 124, 132, 126, 129, 121, 1643, 6360, 2419, 7352, 2399, 1299, 26589, 1215, 1158, 7051, 1256, 27165, 1313, 1318, 21638, 19395, 7441, 4511, 1158, 3011, 1125, 1816, 3453, 5541, 119, 2399, 3811, 1281, 14868, 1313, 11376, 17560, 1469, 3171, 17087, 1125, 4879, 2181, 3762, 1207, 4092, 488, 124, 132, 129, 123, 119, 2399, 1110, 1561, 5865, 21638, 1125, 9421, 8370, 488, 124, 132, 128, 131, 119, 1254, 8948, 1876, 16155, 1180, 186, 1110, 1913, 23693, 1215, 12642, 2189, 1153, 1125, 7219, 172, 1104, 1188, 17581, 1189, 6030, 1125, 23070, 5617, 1104, 1215, 10028, 1167, 20313, 255, 185, 2504, 31100, 18361, 1195, 121, 1459, 2052, 10898, 488, 1165, 2196, 7587, 1560, 4148, 1121, 6411, 7655, 26903, 1299, 1170, 3151, 17908, 1317, 23464, 1188, 2123, 1278, 1125, 1158, 22709, 172, 21532, 1810, 6340, 1199, 1317, 21245, 1227, 3631, 7433, 10709, 121, 2576, 13507, 1299, 9053, 1300, 1170, 6009, 1252, 1182, 2036, 1643, 2076, 13407, 16155, 1180, 186, 31020, 1158, 3451, 17482, 1227, 13753, 1125, 1158, 22709, 172, 1579, 9269, 3318, 179, 238, 1125, 21040, 10646, 1256, 1207, 7571, 1227, 3418, 3225, 3849, 192, 4273, 178, 1150, 1388, 144, 8948, 1876, 1110, 4222, 244, 1188, 14170, 1107, 1167, 1188, 9571, 1469, 3713, 1125, 9672, 7328, 1561, 4541, 121, 3450, 1110, 14577, 1408, 1125, 488, 127, 123, 23371, 1317, 3261, 1234, 6152, 1317, 21709, 1167, 1313, 5610, 19105, 19321, 5639, 1125, 4593, 18817, 1429, 1125, 2492, 5774, 8640, 2399, 1110, 11925, 2201, 1125, 6344, 12149, 1125, 29158, 1723, 2399, 1299, 3295, 2377, 1303, 31772, 1188, 1158, 1114, 2724, 1810, 7230, 1110, 11925, 2201, 1469, 21179, 2086, 1440, 1357, 2435, 1110, 12608, 1197, 1300, 185, 10599, 7706, 1309, 1257, 21153, 1560, 1173, 2724, 1810, 1192, 19146, 2496, 172, 17043, 19146, 11190, 1496, 1167, 1170, 1408, 2034, 4353, 1192, 9580, 3382, 17043, 9580, 1314, 4023, 15273, 1180, 186, 1299, 29372, 2335, 10346, 1188, 19910, 1125, 488, 129, 132, 2165, 10177, 25868, 10791, 4501, 1354, 1125, 22083, 8403, 2324, 1532, 1252, 1120, 2021, 1110, 5617, 1186, 4428, 12132, 6348, 8948, 1876, 16155, 1180, 186, 1189, 29680, 1125, 22709, 172, 1579, 9269, 24137, 1254, 8948, 1130, 1965, 488, 14577, 1256, 1158, 3453, 2768, 1313, 26903, 1125, 488, 124, 132, 129, 125, 5863, 1198, 181, 4744, 2358, 1775, 1135, 2236, 7199, 1626, 10397, 1161, 19515, 1171, 3261, 1141, 1142, 1167, 12749, 2757, 1189, 6285, 1125, 22083, 8509, 2645, 4134, 1424, 130, 131, 17886, 1167, 488, 127, 128, 17886, 1194, 3681, 4354, 190, 9323, 1167, 16828, 5825, 2093, 2330, 2009, 1632, 2167, 16349, 3556, 4196, 2009, 1632, 1125, 22709, 172, 1579, 9269, 8156, 1186, 2921, 488, 124, 132, 125, 123, 8156, 1188, 25999, 1125, 20533, 9249, 9317, 1186, 2738, 488, 124, 132, 132, 123, 9317, 1188, 488, 129, 132, 2165, 9317, 1188, 25999, 1125, 20533, 9249, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 8948, 1876, 6044, 4816, 16155, 1180, 2086, 21685, 1254, 8948, 1876, 16155, 1180, 2086, 1299, 1318, 20926, 1632, 2167, 16349, 3556, 14232, 1188, 25999, 1125, 20533, 9249, 1170, 488, 124, 129, 2921, 488, 124, 132, 125, 123, 1167, 29372, 1313, 1158, 2076, 3837, 1170, 488, 130, 2738, 488, 124, 132, 132, 123, 121, 3767, 23464, 1238, 1158, 1300, 185, 2508, 1370, 1192, 3754, 3382, 1175, 3562, 3754, 3603, 1186, 30363, 1298, 1576, 3450, 16823, 1856, 29685, 1313, 3458, 22222, 3418, 1285, 2487, 3934, 21581, 14603, 2086, 1125, 1293, 1796, 172, 1125, 1192, 1829, 4353, 9665, 1186, 488, 124, 132, 128, 124, 14231, 14564, 1379, 1180, 186, 1299, 14232, 1188, 25999, 1125, 20533, 9249, 2040, 1594, 9159, 3031, 1189, 30688, 1125, 31107, 1538, 2240, 1357, 2368, 1183, 2983, 2288, 1370, 1188, 1158, 28480, 1167, 1561, 10023, 3031, 1318, 20926, 1632, 23303, 121, 1254, 8948, 1876, 1110, 13551, 1188, 9963, 1188, 1189, 19412, 2671, 186, 1159, 121, 8637, 488, 124, 132, 126, 123, 1167, 488, 124, 132, 126, 128, 119, 2399, 3031, 119, 1835, 16085, 14175, 1632, 1167, 22492, 176, 17847, 3450, 1110, 1913, 12381, 1215, 20330, 1560, 18003, 1172, 1195, 2391, 2519, 12663, 22008, 1256, 1594, 488, 124, 129, 176, 11707, 3693, 1188, 5685, 1170, 4501, 1354, 3618, 1913, 4062, 180, 3502, 20330, 11341, 1895, 8676, 1303, 1188, 1248, 236, 1331, 186, 3276, 1119, 1219, 5834, 2585, 119, 10336, 1282, 15511, 26551, 1125, 1594, 28391, 2399, 1299, 3851, 1277, 1300, 1170, 1951, 1800, 1724, 8587, 4527, 7497, 1469, 21851, 1849, 12550, 10408, 2086, 24865, 1780, 1125, 2068, 1232, 30576, 6044, 4816, 8910, 9412, 193, 1810, 3550, 1140, 9519, 172, 1167, 1918, 248, 18009, 1233, 1384, 1243, 172, 1170, 488, 124, 131, 3201, 488, 124, 132, 126, 129, 121, 1643, 6360, 2419, 7352, 2399, 1299, 26589, 1215, 1158, 7051, 1256, 27165, 1313, 1318, 21638, 19395, 7441, 4511, 1158, 3011, 1125, 1816, 3453, 5541, 119, 2399, 3811, 1281, 14868, 1313, 11376, 17560, 1469, 3171, 17087, 1125, 4879, 2181, 3762, 1207, 4092, 488, 124, 132, 129, 123, 119, 2399, 1110, 1561, 5865, 21638, 1125, 9421, 8370, 488, 124, 132, 128, 131, 119, 1254, 8948, 1876, 16155, 1180, 186, 1110, 1913, 23693, 1215, 12642, 2189, 1153, 1125, 7219, 172, 1104, 1188, 17581, 1189, 6030, 1125, 23070, 5617, 1104, 1215, 10028, 1167, 20313, 255, 185, 2504, 31100, 18361, 1195, 121, 1459, 2052, 10898, 488, 1165, 2196, 7587, 1560, 4148, 1121, 6411, 7655, 26903, 1299, 1170, 3151, 17908, 1317, 23464, 1188, 2123, 1278, 1125, 1158, 22709, 172, 21532, 1810, 6340, 1199, 1317, 21245, 1227, 3631, 7433, 10709, 121, 2576, 13507, 1299, 9053, 1300, 1170, 6009, 1252, 1182, 2036, 1643, 2076, 13407, 16155, 1180, 186, 31020, 1158, 3451, 17482, 1227, 13753, 1125, 1158, 22709, 172, 1579, 9269, 3318, 179, 238, 1125, 21040, 10646, 1256, 1207, 7571, 1227, 3418, 3225, 3849, 192, 4273, 178, 1150, 1388, 144, 8948, 1876, 1110, 4222, 244, 1188, 14170, 1107, 1167, 1188, 9571, 1469, 3713, 1125, 9672, 7328, 1561, 4541, 121, 3450, 1110, 14577, 1408, 1125, 488, 127, 123, 23371, 1317, 3261, 1234, 6152, 1317, 21709, 1167, 1313, 5610, 19105, 19321, 5639, 1125, 4593, 18817, 1429, 1125, 2492, 5774, 8640, 2399, 1110, 11925, 2201, 1125, 6344, 12149, 1125, 29158, 1723, 2399, 1299, 3295, 2377, 1303, 31772, 1188, 1158, 1114, 2724, 1810, 7230, 1110, 11925, 2201, 1469, 21179, 2086, 1440, 1357, 2435, 1110, 12608, 1197, 1300, 185, 10599, 7706, 1309, 1257, 21153, 1560, 1173, 2724, 1810, 1192, 19146, 2496, 172, 17043, 19146, 11190, 1496, 1167, 1170, 1408, 2034, 4353, 1192, 9580, 3382, 17043, 9580, 1314, 4023, 15273, 1180, 186, 1299, 29372, 2335, 10346, 1188, 19910, 1125, 488, 129, 132, 2165, 10177, 25868, 10791, 4501, 1354, 1125, 22083, 8403, 2324, 1532, 1252, 1120, 2021, 1110, 5617, 1186, 4428, 12132, 6348, 8948, 1876, 16155, 1180, 186, 1189, 29680, 1125, 22709, 172, 1579, 9269, 24137, 1254, 8948, 1130, 1965, 488, 14577, 1256, 1158, 3453, 2768, 1313, 26903, 1125, 488, 124, 132, 129, 125, 5863, 1198, 181, 4744, 2358, 1775, 1135, 2236, 7199, 1626, 10397, 1161, 19515, 1171, 3261, 1141, 1142, 1167, 12749, 2757, 1189, 6285, 1125, 22083, 8509, 2645, 4134, 1424, 130, 131, 17886, 1167, 488, 127, 128, 17886, 1194, 3681, 4354, 190, 9323, 1167, 16828, 5825, 2093, 2330, 2009, 1632, 2167, 16349, 3556, 4196, 2009, 1632, 1125, 22709, 172, 1579, 9269, 8156, 1186, 2921, 488, 124, 132, 125, 123, 8156, 1188, 25999, 1125, 20533, 9249, 9317, 1186, 2738, 488, 124, 132, 132, 123, 9317, 1188, 488, 129, 132, 2165, 9317, 1188, 25999, 1125, 20533, 9249, 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, 157, 3770, 172, 2172, 1204, 2715, 20694, 1299, 1318, 4813, 1125, 1158, 10660, 1125, 31361, 1134, 13881, 1313, 1158, 3734, 1197, 1192, 2266, 14282, 1104, 1186, 20375, 27404, 3997, 2069, 19185, 1317, 7758, 2059, 1506, 120, 13469, 1125, 1158, 4813, 1281, 1106, 3047, 1170, 2467, 179, 1187, 14436, 1198, 26356, 1388, 25542, 22195, 1344, 1541, 1424, 157, 2559, 1965, 6522, 3948, 1107, 1810, 14922, 1342, 1442, 1438, 1194, 11633, 4519, 4680, 8529, 1104, 1424, 145, 2288, 7497, 2068, 1845, 119, 1252, 1105, 12109, 13854, 2086, 31361, 1134, 1142, 1810, 8415, 1172, 2433, 6453, 1333, 7497, 1125, 114, 1918, 1349, 119, 10626, 172, 16003, 18489, 1350, 2156, 119, 1350, 193, 1490, 1172, 2433, 1248, 3770, 172, 2172, 13793, 27520, 6284, 6411, 1130, 17336, 1288, 114, 1352, 10408, 2433, 9851, 114, 144, 1153, 1119, 2504, 2544, 1636, 25593, 4291, 28530, 2086, 1198, 9607, 7210, 1333, 1192, 2266, 14282, 2433, 27982, 9851, 114, 2439, 21466, 186, 9323, 1167, 5474, 19528, 4813, 1299, 1313, 1158, 10660, 1125, 31361, 1134, 13881, 114, 32001, 1424, 32000, 20036, 24623, 157, 3770, 172, 2172, 1204, 2715, 20694, 1299, 1318, 4813, 1125, 1158, 10660, 1125, 31361, 1134, 13881, 1313, 1158, 3734, 1197, 1192, 2266, 14282, 1104, 1186, 20375, 27404, 3997, 2069, 19185, 1317, 7758, 2059, 1506, 120, 13469, 1125, 1158, 4813, 1281, 1106, 3047, 1170, 2467, 179, 1187, 14436, 1198, 26356, 1388, 25542, 22195, 1344, 1541, 1424, 157, 2559, 1965, 6522, 3948, 1107, 1810, 14922, 1342, 1442, 1438, 1194, 11633, 4519, 4680, 8529, 1104, 1424, 145, 2288, 7497, 2068, 1845, 119, 1252, 1105, 12109, 13854, 2086, 31361, 1134, 1142, 1810, 8415, 1172, 2433, 6453, 1333, 7497, 1125, 114, 1918, 1349, 119, 10626, 172, 16003, 18489, 1350, 2156, 119, 1350, 193, 1490, 1172, 2433, 1248, 3770, 172, 2172, 13793, 27520, 6284, 6411, 1130, 17336, 1288, 114, 1352, 10408, 2433, 9851, 114, 144, 1153, 1119, 2504, 2544, 1636, 25593, 4291, 28530, 2086, 1198, 9607, 7210, 1333, 1192, 2266, 14282, 2433, 27982, 9851, 114, 2439, 21466, 186, 9323, 1167, 5474, 19528, 4813, 1299, 1313, 1158, 10660, 1125, 31361, 1134, 13881, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 157, 3770, 172, 2172, 1204, 2715, 20694, 1299, 1318, 4813, 1125, 1158, 10660, 1125, 31361, 1134, 13881, 1313, 1158, 3734, 1197, 1192, 2266, 14282, 1104, 1186, 20375, 27404, 3997, 2069, 19185, 1317, 7758, 2059, 1506, 120, 13469, 1125, 1158, 4813, 1281, 1106, 3047, 1170, 2467, 179, 1187, 14436, 1198, 26356, 1388, 25542, 22195, 1344, 1541, 1424, 157, 2559, 1965, 6522, 3948, 1107, 1810, 14922, 1342, 1442, 1438, 1194, 11633, 4519, 4680, 8529, 1104, 1424, 145, 2288, 7497, 2068, 1845, 119, 1252, 1105, 12109, 13854, 2086, 31361, 1134, 1142, 1810, 8415, 1172, 2433, 6453, 1333, 7497, 1125, 114, 1918, 1349, 119, 10626, 172, 16003, 18489, 1350, 2156, 119, 1350, 193, 1490, 1172, 2433, 1248, 3770, 172, 2172, 13793, 27520, 6284, 6411, 1130, 17336, 1288, 114, 1352, 10408, 2433, 9851, 114, 144, 1153, 1119, 2504, 2544, 1636, 25593, 4291, 28530, 2086, 1198, 9607, 7210, 1333, 1192, 2266, 14282, 2433, 27982, 9851, 114, 2439, 21466, 186, 9323, 1167, 5474, 19528, 4813, 1299, 1313, 1158, 10660, 1125, 31361, 1134, 13881, 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, 5522, 1105, 1321, 180, 5680, 6855, 3471, 10483, 1108, 1257, 488, 1081, 1085, 116, 14232, 1933, 1105, 1321, 180, 1671, 1145, 1170, 488, 488, 124, 128, 2822, 488, 124, 132, 132, 123, 1188, 23045, 2610, 119, 1299, 1318, 20926, 1632, 1167, 16037, 1632, 7758, 2308, 10483, 2794, 121, 3450, 3031, 6711, 1227, 9717, 2957, 488, 127, 11775, 2732, 14231, 2586, 2340, 1299, 7628, 13825, 1303, 1125, 5535, 176, 1510, 2831, 1137, 6815, 5761, 1167, 16853, 11041, 1197, 8787, 1125, 7585, 2936, 3880, 5020, 1188, 21455, 21931, 3513, 2133, 176, 25886, 4096, 106, 127, 11775, 2732, 1194, 15539, 16773, 1207, 488, 127, 11775, 2732, 1186, 2738, 488, 125, 123, 123, 132, 119, 11963, 1277, 1186, 2076, 2658, 1309, 1518, 194, 1105, 1173, 3589, 31714, 1145, 1167, 2133, 186, 1293, 5086, 17568, 2114, 2290, 1170, 6009, 1125, 1158, 1165, 4653, 26833, 9994, 1929, 3151, 3935, 2368, 1109, 2228, 1126, 9372, 15969, 1277, 1167, 1299, 9665, 1170, 488, 124, 128, 2798, 488, 125, 123, 123, 132, 119, 1158, 9853, 1110, 2138, 244, 15545, 2879, 16587, 2900, 121, 4444, 3201, 488, 125, 123, 123, 132, 119, 1170, 9717, 2957, 5016, 1189, 1677, 8092, 13507, 119, 2544, 1204, 11149, 2461, 119, 1469, 1158, 15038, 120, 1117, 1373, 2544, 1204, 11149, 2461, 121, 9908, 18241, 1129, 6349, 1318, 17836, 1811, 1256, 1440, 3935, 121, 26560, 1125, 2658, 2750, 1158, 8969, 1125, 2544, 1204, 11149, 2461, 119, 1170, 3274, 2367, 1186, 5203, 1964, 8483, 3237, 3476, 5106, 1192, 21903, 1325, 1701, 7552, 2136, 1158, 9144, 2203, 1125, 488, 127, 1577, 2732, 1186, 488, 125, 123, 124, 129, 119, 2399, 2918, 1125, 6009, 1167, 12368, 1189, 5234, 3523, 28691, 1254, 113, 8372, 3450, 5016, 1594, 3935, 8242, 1171, 15652, 1170, 488, 125, 123, 3012, 488, 125, 123, 124, 129, 2290, 1170, 17260, 10329, 1321, 1108, 16118, 1388, 3742, 8494, 1186, 17622, 2359, 488, 125, 128, 2798, 488, 125, 123, 124, 129, 119, 2399, 1844, 1189, 21758, 1469, 1158, 20926, 1632, 1325, 4830, 1671, 180, 21931, 3513, 119, 1996, 2034, 3955, 1256, 1594, 6030, 14660, 3743, 1204, 1965, 1469, 1318, 15038, 1227, 2076, 1874, 8155, 488, 126, 123, 2921, 488, 125, 123, 124, 129, 119, 1321, 180, 5680, 6855, 4438, 1189, 23504, 1469, 15156, 18378, 6533, 1300, 1170, 3935, 3261, 1149, 1988, 11706, 1256, 1594, 6030, 1306, 4101, 1307, 8616, 1469, 2445, 1233, 2296, 2194, 1197, 6226, 5761, 30079, 13300, 1188, 1282, 10540, 1227, 26039, 1304, 152, 6422, 4736, 16176, 1625, 119, 1469, 1158, 15038, 1350, 1141, 3366, 1170, 488, 126, 124, 3201, 488, 125, 123, 124, 129, 8155, 488, 124, 128, 2584, 488, 125, 123, 124, 129, 119, 1933, 1105, 1321, 180, 5680, 6855, 5016, 1170, 3935, 17639, 17394, 2053, 1128, 15411, 18378, 1145, 1810, 1256, 1594, 6030, 1233, 26049, 11673, 108, 119, 9053, 1170, 2076, 2574, 30079, 16773, 31395, 1125, 1518, 13998, 12394, 1249, 1132, 19043, 488, 125, 1186, 2798, 488, 125, 123, 124, 124, 1256, 18051, 19043, 1321, 8092, 176, 1145, 1227, 9717, 2957, 12386, 119, 1357, 30816, 1158, 9853, 1125, 1964, 10424, 6030, 17911, 121, 1548, 24190, 1227, 2704, 1110, 12683, 1257, 1606, 12791, 6590, 1309, 1158, 8945, 1125, 1321, 180, 5680, 6855, 1299, 1408, 2131, 26874, 1309, 4421, 1125, 31599, 186, 2114, 20926, 1632, 11419, 1125, 1964, 3274, 121, 1524, 3762, 1440, 30573, 1197, 20926, 1392, 7026, 5524, 11925, 13260, 1189, 3694, 1256, 1215, 1158, 3011, 1823, 9262, 1234, 1215, 1189, 18502, 1125, 488, 125, 123, 123, 30926, 3450, 1110, 1270, 3634, 1997, 4020, 1130, 24068, 1313, 10399, 6362, 31125, 1170, 488, 124, 126, 2921, 488, 125, 123, 124, 124, 121, 7155, 1158, 15038, 1209, 6229, 1119, 1496, 1321, 180, 5680, 6855, 18900, 1189, 3248, 1313, 1816, 21638, 119, 1469, 20730, 28950, 2086, 1175, 2665, 1327, 27433, 1188, 1282, 16329, 1215, 21931, 192, 18378, 1145, 1197, 7673, 27142, 1167, 6218, 21099, 15155, 1227, 19141, 6806, 14187, 2181, 5108, 4023, 17971, 1436, 5943, 9918, 1256, 1909, 12102, 2205, 19360, 1167, 1909, 29531, 1300, 2065, 10987, 185, 4321, 1207, 10792, 1947, 244, 1462, 1282, 1258, 1300, 185, 23726, 1606, 2102, 4408, 1491, 11523, 1524, 1186, 2875, 488, 125, 123, 124, 124, 119, 1167, 4256, 1253, 2485, 176, 1186, 488, 125, 123, 124, 125, 1125, 1594, 3631, 2583, 119, 1606, 22468, 1167, 23280, 1849, 1524, 1175, 1057, 25237, 1040, 1049, 1027, 2986, 8155, 488, 125, 123, 3012, 488, 125, 123, 124, 129, 2399, 5016, 1189, 3935, 8242, 1171, 15652, 1388, 125, 164, 154, 1588, 2359, 488, 125, 127, 3201, 488, 125, 123, 124, 129, 119, 1207, 3323, 3051, 1227, 6009, 1165, 4653, 26833, 10656, 1158, 8969, 2335, 3631, 9717, 2957, 13644, 1125, 2069, 4634, 1197, 488, 127, 11775, 2732, 119, 1293, 5086, 196, 6855, 1167, 1321, 180, 5680, 186, 3847, 2502, 24935, 1996, 2750, 1309, 1170, 3274, 1323, 1362, 6617, 11566, 24206, 1323, 1281, 1874, 1232, 488, 125, 164, 154, 1588, 7393, 1298, 1199, 6891, 1188, 16371, 24750, 1167, 1964, 1874, 1125, 8077, 1576, 1548, 3274, 5016, 1170, 11897, 6030, 5922, 10819, 24553, 1170, 488, 124, 123, 2875, 488, 125, 123, 124, 129, 119, 4716, 1256, 15038, 1747, 1532, 488, 125, 127, 122, 130, 8509, 2645, 4134, 13776, 192, 1180, 1167, 2429, 1180, 24367, 1819, 28084, 106, 125, 123, 124, 124, 1257, 12394, 1249, 1132, 19043, 488, 125, 1323, 3450, 5374, 1175, 11284, 5355, 1718, 8036, 2072, 11934, 3249, 15948, 7364, 5825, 9515, 9229, 1197, 488, 127, 11775, 2732, 3835, 1121, 1303, 1227, 6455, 9004, 1286, 9229, 1197, 488, 127, 11775, 2732, 9845, 8400, 1718, 152, 19486, 3556, 1125, 1518, 3130, 1273, 4196, 2009, 1632, 7758, 2308, 10483, 2794, 1763, 1119, 1206, 1632, 7758, 2308, 10483, 2794, 8156, 1186, 2822, 488, 124, 132, 132, 123, 8156, 1188, 23045, 2610, 5526, 24116, 1125, 15714, 21931, 3513, 2133, 176, 4030, 10577, 1125, 1165, 4653, 26833, 32001, 1424, 32000, 20036, 4225, 1105, 1321, 180, 5680, 6855, 3471, 10483, 1108, 1257, 488, 1081, 1085, 116, 14232, 1933, 1105, 1321, 180, 1671, 1145, 1170, 488, 488, 124, 128, 2822, 488, 124, 132, 132, 123, 1188, 23045, 2610, 119, 1299, 1318, 20926, 1632, 1167, 16037, 1632, 7758, 2308, 10483, 2794, 121, 3450, 3031, 6711, 1227, 9717, 2957, 488, 127, 11775, 2732, 14231, 2586, 2340, 1299, 7628, 13825, 1303, 1125, 5535, 176, 1510, 2831, 1137, 6815, 5761, 1167, 16853, 11041, 1197, 8787, 1125, 7585, 2936, 3880, 5020, 1188, 21455, 21931, 3513, 2133, 176, 25886, 4096, 106, 127, 11775, 2732, 1194, 15539, 16773, 1207, 488, 127, 11775, 2732, 1186, 2738, 488, 125, 123, 123, 132, 119, 11963, 1277, 1186, 2076, 2658, 1309, 1518, 194, 1105, 1173, 3589, 31714, 1145, 1167, 2133, 186, 1293, 5086, 17568, 2114, 2290, 1170, 6009, 1125, 1158, 1165, 4653, 26833, 9994, 1929, 3151, 3935, 2368, 1109, 2228, 1126, 9372, 15969, 1277, 1167, 1299, 9665, 1170, 488, 124, 128, 2798, 488, 125, 123, 123, 132, 119, 1158, 9853, 1110, 2138, 244, 15545, 2879, 16587, 2900, 121, 4444, 3201, 488, 125, 123, 123, 132, 119, 1170, 9717, 2957, 5016, 1189, 1677, 8092, 13507, 119, 2544, 1204, 11149, 2461, 119, 1469, 1158, 15038, 120, 1117, 1373, 2544, 1204, 11149, 2461, 121, 9908, 18241, 1129, 6349, 1318, 17836, 1811, 1256, 1440, 3935, 121, 26560, 1125, 2658, 2750, 1158, 8969, 1125, 2544, 1204, 11149, 2461, 119, 1170, 3274, 2367, 1186, 5203, 1964, 8483, 3237, 3476, 5106, 1192, 21903, 1325, 1701, 7552, 2136, 1158, 9144, 2203, 1125, 488, 127, 1577, 2732, 1186, 488, 125, 123, 124, 129, 119, 2399, 2918, 1125, 6009, 1167, 12368, 1189, 5234, 3523, 28691, 1254, 113, 8372, 3450, 5016, 1594, 3935, 8242, 1171, 15652, 1170, 488, 125, 123, 3012, 488, 125, 123, 124, 129, 2290, 1170, 17260, 10329, 1321, 1108, 16118, 1388, 3742, 8494, 1186, 17622, 2359, 488, 125, 128, 2798, 488, 125, 123, 124, 129, 119, 2399, 1844, 1189, 21758, 1469, 1158, 20926, 1632, 1325, 4830, 1671, 180, 21931, 3513, 119, 1996, 2034, 3955, 1256, 1594, 6030, 14660, 3743, 1204, 1965, 1469, 1318, 15038, 1227, 2076, 1874, 8155, 488, 126, 123, 2921, 488, 125, 123, 124, 129, 119, 1321, 180, 5680, 6855, 4438, 1189, 23504, 1469, 15156, 18378, 6533, 1300, 1170, 3935, 3261, 1149, 1988, 11706, 1256, 1594, 6030, 1306, 4101, 1307, 8616, 1469, 2445, 1233, 2296, 2194, 1197, 6226, 5761, 30079, 13300, 1188, 1282, 10540, 1227, 26039, 1304, 152, 6422, 4736, 16176, 1625, 119, 1469, 1158, 15038, 1350, 1141, 3366, 1170, 488, 126, 124, 3201, 488, 125, 123, 124, 129, 8155, 488, 124, 128, 2584, 488, 125, 123, 124, 129, 119, 1933, 1105, 1321, 180, 5680, 6855, 5016, 1170, 3935, 17639, 17394, 2053, 1128, 15411, 18378, 1145, 1810, 1256, 1594, 6030, 1233, 26049, 11673, 108, 119, 9053, 1170, 2076, 2574, 30079, 16773, 31395, 1125, 1518, 13998, 12394, 1249, 1132, 19043, 488, 125, 1186, 2798, 488, 125, 123, 124, 124, 1256, 18051, 19043, 1321, 8092, 176, 1145, 1227, 9717, 2957, 12386, 119, 1357, 30816, 1158, 9853, 1125, 1964, 10424, 6030, 17911, 121, 1548, 24190, 1227, 2704, 1110, 12683, 1257, 1606, 12791, 6590, 1309, 1158, 8945, 1125, 1321, 180, 5680, 6855, 1299, 1408, 2131, 26874, 1309, 4421, 1125, 31599, 186, 2114, 20926, 1632, 11419, 1125, 1964, 3274, 121, 1524, 3762, 1440, 30573, 1197, 20926, 1392, 7026, 5524, 11925, 13260, 1189, 3694, 1256, 1215, 1158, 3011, 1823, 9262, 1234, 1215, 1189, 18502, 1125, 488, 125, 123, 123, 30926, 3450, 1110, 1270, 3634, 1997, 4020, 1130, 24068, 1313, 10399, 6362, 31125, 1170, 488, 124, 126, 2921, 488, 125, 123, 124, 124, 121, 7155, 1158, 15038, 1209, 6229, 1119, 1496, 1321, 180, 5680, 6855, 18900, 1189, 3248, 1313, 1816, 21638, 119, 1469, 20730, 28950, 2086, 1175, 2665, 1327, 27433, 1188, 1282, 16329, 1215, 21931, 192, 18378, 1145, 1197, 7673, 27142, 1167, 6218, 21099, 15155, 1227, 19141, 6806, 14187, 2181, 5108, 4023, 17971, 1436, 5943, 9918, 1256, 1909, 12102, 2205, 19360, 1167, 1909, 29531, 1300, 2065, 10987, 185, 4321, 1207, 10792, 1947, 244, 1462, 1282, 1258, 1300, 185, 23726, 1606, 2102, 4408, 1491, 11523, 1524, 1186, 2875, 488, 125, 123, 124, 124, 119, 1167, 4256, 1253, 2485, 176, 1186, 488, 125, 123, 124, 125, 1125, 1594, 3631, 2583, 119, 1606, 22468, 1167, 23280, 1849, 1524, 1175, 1057, 25237, 1040, 1049, 1027, 2986, 8155, 488, 125, 123, 3012, 488, 125, 123, 124, 129, 2399, 5016, 1189, 3935, 8242, 1171, 15652, 1388, 125, 164, 154, 1588, 2359, 488, 125, 127, 3201, 488, 125, 123, 124, 129, 119, 1207, 3323, 3051, 1227, 6009, 1165, 4653, 26833, 10656, 1158, 8969, 2335, 3631, 9717, 2957, 13644, 1125, 2069, 4634, 1197, 488, 127, 11775, 2732, 119, 1293, 5086, 196, 6855, 1167, 1321, 180, 5680, 186, 3847, 2502, 24935, 1996, 2750, 1309, 1170, 3274, 1323, 1362, 6617, 11566, 24206, 1323, 1281, 1874, 1232, 488, 125, 164, 154, 1588, 7393, 1298, 1199, 6891, 1188, 16371, 24750, 1167, 1964, 1874, 1125, 8077, 1576, 1548, 3274, 5016, 1170, 11897, 6030, 5922, 10819, 24553, 1170, 488, 124, 123, 2875, 488, 125, 123, 124, 129, 119, 4716, 1256, 15038, 1747, 1532, 488, 125, 127, 122, 130, 8509, 2645, 4134, 13776, 192, 1180, 1167, 2429, 1180, 24367, 1819, 28084, 106, 125, 123, 124, 124, 1257, 12394, 1249, 1132, 19043, 488, 125, 1323, 3450, 5374, 1175, 11284, 5355, 1718, 8036, 2072, 11934, 3249, 15948, 7364, 5825, 9515, 9229, 1197, 488, 127, 11775, 2732, 3835, 1121, 1303, 1227, 6455, 9004, 1286, 9229, 1197, 488, 127, 11775, 2732, 9845, 8400, 1718, 152, 19486, 3556, 1125, 1518, 3130, 1273, 4196, 2009, 1632, 7758, 2308, 10483, 2794, 1763, 1119, 1206, 1632, 7758, 2308, 10483, 2794, 8156, 1186, 2822, 488, 124, 132, 132, 123, 8156, 1188, 23045, 2610, 5526, 24116, 1125, 15714, 21931, 3513, 2133, 176, 4030, 10577, 1125, 1165, 4653, 26833, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 4225, 1105, 1321, 180, 5680, 6855, 3471, 10483, 1108, 1257, 488, 1081, 1085, 116, 14232, 1933, 1105, 1321, 180, 1671, 1145, 1170, 488, 488, 124, 128, 2822, 488, 124, 132, 132, 123, 1188, 23045, 2610, 119, 1299, 1318, 20926, 1632, 1167, 16037, 1632, 7758, 2308, 10483, 2794, 121, 3450, 3031, 6711, 1227, 9717, 2957, 488, 127, 11775, 2732, 14231, 2586, 2340, 1299, 7628, 13825, 1303, 1125, 5535, 176, 1510, 2831, 1137, 6815, 5761, 1167, 16853, 11041, 1197, 8787, 1125, 7585, 2936, 3880, 5020, 1188, 21455, 21931, 3513, 2133, 176, 25886, 4096, 106, 127, 11775, 2732, 1194, 15539, 16773, 1207, 488, 127, 11775, 2732, 1186, 2738, 488, 125, 123, 123, 132, 119, 11963, 1277, 1186, 2076, 2658, 1309, 1518, 194, 1105, 1173, 3589, 31714, 1145, 1167, 2133, 186, 1293, 5086, 17568, 2114, 2290, 1170, 6009, 1125, 1158, 1165, 4653, 26833, 9994, 1929, 3151, 3935, 2368, 1109, 2228, 1126, 9372, 15969, 1277, 1167, 1299, 9665, 1170, 488, 124, 128, 2798, 488, 125, 123, 123, 132, 119, 1158, 9853, 1110, 2138, 244, 15545, 2879, 16587, 2900, 121, 4444, 3201, 488, 125, 123, 123, 132, 119, 1170, 9717, 2957, 5016, 1189, 1677, 8092, 13507, 119, 2544, 1204, 11149, 2461, 119, 1469, 1158, 15038, 120, 1117, 1373, 2544, 1204, 11149, 2461, 121, 9908, 18241, 1129, 6349, 1318, 17836, 1811, 1256, 1440, 3935, 121, 26560, 1125, 2658, 2750, 1158, 8969, 1125, 2544, 1204, 11149, 2461, 119, 1170, 3274, 2367, 1186, 5203, 1964, 8483, 3237, 3476, 5106, 1192, 21903, 1325, 1701, 7552, 2136, 1158, 9144, 2203, 1125, 488, 127, 1577, 2732, 1186, 488, 125, 123, 124, 129, 119, 2399, 2918, 1125, 6009, 1167, 12368, 1189, 5234, 3523, 28691, 1254, 113, 8372, 3450, 5016, 1594, 3935, 8242, 1171, 15652, 1170, 488, 125, 123, 3012, 488, 125, 123, 124, 129, 2290, 1170, 17260, 10329, 1321, 1108, 16118, 1388, 3742, 8494, 1186, 17622, 2359, 488, 125, 128, 2798, 488, 125, 123, 124, 129, 119, 2399, 1844, 1189, 21758, 1469, 1158, 20926, 1632, 1325, 4830, 1671, 180, 21931, 3513, 119, 1996, 2034, 3955, 1256, 1594, 6030, 14660, 3743, 1204, 1965, 1469, 1318, 15038, 1227, 2076, 1874, 8155, 488, 126, 123, 2921, 488, 125, 123, 124, 129, 119, 1321, 180, 5680, 6855, 4438, 1189, 23504, 1469, 15156, 18378, 6533, 1300, 1170, 3935, 3261, 1149, 1988, 11706, 1256, 1594, 6030, 1306, 4101, 1307, 8616, 1469, 2445, 1233, 2296, 2194, 1197, 6226, 5761, 30079, 13300, 1188, 1282, 10540, 1227, 26039, 1304, 152, 6422, 4736, 16176, 1625, 119, 1469, 1158, 15038, 1350, 1141, 3366, 1170, 488, 126, 124, 3201, 488, 125, 123, 124, 129, 8155, 488, 124, 128, 2584, 488, 125, 123, 124, 129, 119, 1933, 1105, 1321, 180, 5680, 6855, 5016, 1170, 3935, 17639, 17394, 2053, 1128, 15411, 18378, 1145, 1810, 1256, 1594, 6030, 1233, 26049, 11673, 108, 119, 9053, 1170, 2076, 2574, 30079, 16773, 31395, 1125, 1518, 13998, 12394, 1249, 1132, 19043, 488, 125, 1186, 2798, 488, 125, 123, 124, 124, 1256, 18051, 19043, 1321, 8092, 176, 1145, 1227, 9717, 2957, 12386, 119, 1357, 30816, 1158, 9853, 1125, 1964, 10424, 6030, 17911, 121, 1548, 24190, 1227, 2704, 1110, 12683, 1257, 1606, 12791, 6590, 1309, 1158, 8945, 1125, 1321, 180, 5680, 6855, 1299, 1408, 2131, 26874, 1309, 4421, 1125, 31599, 186, 2114, 20926, 1632, 11419, 1125, 1964, 3274, 121, 1524, 3762, 1440, 30573, 1197, 20926, 1392, 7026, 5524, 11925, 13260, 1189, 3694, 1256, 1215, 1158, 3011, 1823, 9262, 1234, 1215, 1189, 18502, 1125, 488, 125, 123, 123, 30926, 3450, 1110, 1270, 3634, 1997, 4020, 1130, 24068, 1313, 10399, 6362, 31125, 1170, 488, 124, 126, 2921, 488, 125, 123, 124, 124, 121, 7155, 1158, 15038, 1209, 6229, 1119, 1496, 1321, 180, 5680, 6855, 18900, 1189, 3248, 1313, 1816, 21638, 119, 1469, 20730, 28950, 2086, 1175, 2665, 1327, 27433, 1188, 1282, 16329, 1215, 21931, 192, 18378, 1145, 1197, 7673, 27142, 1167, 6218, 21099, 15155, 1227, 19141, 6806, 14187, 2181, 5108, 4023, 17971, 1436, 5943, 9918, 1256, 1909, 12102, 2205, 19360, 1167, 1909, 29531, 1300, 2065, 10987, 185, 4321, 1207, 10792, 1947, 244, 1462, 1282, 1258, 1300, 185, 23726, 1606, 2102, 4408, 1491, 11523, 1524, 1186, 2875, 488, 125, 123, 124, 124, 119, 1167, 4256, 1253, 2485, 176, 1186, 488, 125, 123, 124, 125, 1125, 1594, 3631, 2583, 119, 1606, 22468, 1167, 23280, 1849, 1524, 1175, 1057, 25237, 1040, 1049, 1027, 2986, 8155, 488, 125, 123, 3012, 488, 125, 123, 124, 129, 2399, 5016, 1189, 3935, 8242, 1171, 15652, 1388, 125, 164, 154, 1588, 2359, 488, 125, 127, 3201, 488, 125, 123, 124, 129, 119, 1207, 3323, 3051, 1227, 6009, 1165, 4653, 26833, 10656, 1158, 8969, 2335, 3631, 9717, 2957, 13644, 1125, 2069, 4634, 1197, 488, 127, 11775, 2732, 119, 1293, 5086, 196, 6855, 1167, 1321, 180, 5680, 186, 3847, 2502, 24935, 1996, 2750, 1309, 1170, 3274, 1323, 1362, 6617, 11566, 24206, 1323, 1281, 1874, 1232, 488, 125, 164, 154, 1588, 7393, 1298, 1199, 6891, 1188, 16371, 24750, 1167, 1964, 1874, 1125, 8077, 1576, 1548, 3274, 5016, 1170, 11897, 6030, 5922, 10819, 24553, 1170, 488, 124, 123, 2875, 488, 125, 123, 124, 129, 119, 4716, 1256, 15038, 1747, 1532, 488, 125, 127, 122, 130, 8509, 2645, 4134, 13776, 192, 1180, 1167, 2429, 1180, 24367, 1819, 28084, 106, 125, 123, 124, 124, 1257, 12394, 1249, 1132, 19043, 488, 125, 1323, 3450, 5374, 1175, 11284, 5355, 1718, 8036, 2072, 11934, 3249, 15948, 7364, 5825, 9515, 9229, 1197, 488, 127, 11775, 2732, 3835, 1121, 1303, 1227, 6455, 9004, 1286, 9229, 1197, 488, 127, 11775, 2732, 9845, 8400, 1718, 152, 19486, 3556, 1125, 1518, 3130, 1273, 4196, 2009, 1632, 7758, 2308, 10483, 2794, 1763, 1119, 1206, 1632, 7758, 2308, 10483, 2794, 8156, 1186, 2822, 488, 124, 132, 132, 123, 8156, 1188, 23045, 2610, 5526, 24116, 1125, 15714, 21931, 3513, 2133, 176, 4030, 10577, 1125, 1165, 4653, 26833, 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, 7304, 1132, 8051, 188, 1186, 1294, 8982, 1298, 1167, 1204, 5275, 9202, 267, 1186, 1714, 1897, 25803, 7216, 1714, 1897, 4391, 25024, 1460, 1257, 2986, 1299, 1318, 2032, 1902, 1227, 28520, 26260, 10019, 1313, 1158, 4813, 4463, 6432, 1902, 1125, 1352, 2955, 1216, 1164, 122, 14734, 269, 1123, 189, 185, 1167, 1313, 1170, 10750, 1125, 20818, 16952, 1146, 246, 122, 150, 1180, 1651, 5005, 172, 20818, 16952, 1146, 2036, 12427, 1170, 30987, 1498, 1180, 1651, 1124, 1125, 488, 125, 123, 124, 124, 119, 2399, 2803, 1939, 2093, 146, 22857, 22195, 3833, 13776, 2035, 4134, 23435, 25526, 10777, 1125, 1158, 5740, 1313, 1158, 2032, 1902, 1194, 8044, 26540, 1125, 1158, 5740, 1215, 3781, 1837, 1175, 125, 123, 124, 124, 1718, 1686, 488, 125, 123, 124, 124, 119, 1207, 2068, 8982, 1298, 4018, 2457, 488, 132, 132, 119, 132, 125, 2199, 1125, 1158, 6380, 2392, 2093, 224, 15051, 2093, 20634, 1167, 20117, 2072, 1194, 11333, 5888, 176, 106, 14404, 3608, 1227, 28520, 26260, 2093, 28870, 5825, 106, 1204, 7304, 1132, 8051, 188, 8783, 5275, 9202, 267, 1300, 25877, 3191, 1862, 2093, 15581, 1902, 1125, 1352, 2955, 1216, 1164, 122, 14734, 269, 1123, 189, 185, 32001, 1424, 32000, 20036, 1720, 7304, 1132, 8051, 188, 1186, 1294, 8982, 1298, 1167, 1204, 5275, 9202, 267, 1186, 1714, 1897, 25803, 7216, 1714, 1897, 4391, 25024, 1460, 1257, 2986, 1299, 1318, 2032, 1902, 1227, 28520, 26260, 10019, 1313, 1158, 4813, 4463, 6432, 1902, 1125, 1352, 2955, 1216, 1164, 122, 14734, 269, 1123, 189, 185, 1167, 1313, 1170, 10750, 1125, 20818, 16952, 1146, 246, 122, 150, 1180, 1651, 5005, 172, 20818, 16952, 1146, 2036, 12427, 1170, 30987, 1498, 1180, 1651, 1124, 1125, 488, 125, 123, 124, 124, 119, 2399, 2803, 1939, 2093, 146, 22857, 22195, 3833, 13776, 2035, 4134, 23435, 25526, 10777, 1125, 1158, 5740, 1313, 1158, 2032, 1902, 1194, 8044, 26540, 1125, 1158, 5740, 1215, 3781, 1837, 1175, 125, 123, 124, 124, 1718, 1686, 488, 125, 123, 124, 124, 119, 1207, 2068, 8982, 1298, 4018, 2457, 488, 132, 132, 119, 132, 125, 2199, 1125, 1158, 6380, 2392, 2093, 224, 15051, 2093, 20634, 1167, 20117, 2072, 1194, 11333, 5888, 176, 106, 14404, 3608, 1227, 28520, 26260, 2093, 28870, 5825, 106, 1204, 7304, 1132, 8051, 188, 8783, 5275, 9202, 267, 1300, 25877, 3191, 1862, 2093, 15581, 1902, 1125, 1352, 2955, 1216, 1164, 122, 14734, 269, 1123, 189, 185, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 7304, 1132, 8051, 188, 1186, 1294, 8982, 1298, 1167, 1204, 5275, 9202, 267, 1186, 1714, 1897, 25803, 7216, 1714, 1897, 4391, 25024, 1460, 1257, 2986, 1299, 1318, 2032, 1902, 1227, 28520, 26260, 10019, 1313, 1158, 4813, 4463, 6432, 1902, 1125, 1352, 2955, 1216, 1164, 122, 14734, 269, 1123, 189, 185, 1167, 1313, 1170, 10750, 1125, 20818, 16952, 1146, 246, 122, 150, 1180, 1651, 5005, 172, 20818, 16952, 1146, 2036, 12427, 1170, 30987, 1498, 1180, 1651, 1124, 1125, 488, 125, 123, 124, 124, 119, 2399, 2803, 1939, 2093, 146, 22857, 22195, 3833, 13776, 2035, 4134, 23435, 25526, 10777, 1125, 1158, 5740, 1313, 1158, 2032, 1902, 1194, 8044, 26540, 1125, 1158, 5740, 1215, 3781, 1837, 1175, 125, 123, 124, 124, 1718, 1686, 488, 125, 123, 124, 124, 119, 1207, 2068, 8982, 1298, 4018, 2457, 488, 132, 132, 119, 132, 125, 2199, 1125, 1158, 6380, 2392, 2093, 224, 15051, 2093, 20634, 1167, 20117, 2072, 1194, 11333, 5888, 176, 106, 14404, 3608, 1227, 28520, 26260, 2093, 28870, 5825, 106, 1204, 7304, 1132, 8051, 188, 8783, 5275, 9202, 267, 1300, 25877, 3191, 1862, 2093, 15581, 1902, 1125, 1352, 2955, 1216, 1164, 122, 14734, 269, 1123, 189, 185, 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, 10623, 5386, 1306, 4691, 1157, 3378, 5252, 1170, 488, 129, 2749, 488, 124, 132, 127, 126, 1188, 5826, 14086, 2114, 1299, 1189, 5598, 3657, 12870, 11493, 6711, 1227, 20835, 15211, 23645, 1125, 1158, 17304, 1214, 3551, 9388, 7165, 1768, 1299, 16487, 1125, 29100, 1125, 488, 124, 132, 131, 123, 1188, 488, 124, 132, 131, 129, 1167, 3151, 5328, 1125, 1158, 10660, 1125, 17304, 1214, 3551, 9388, 1460, 1125, 488, 124, 132, 132, 124, 1188, 488, 124, 132, 132, 129, 22341, 1234, 18036, 20237, 1541, 7364, 5825, 15948, 29496, 1186, 2749, 488, 124, 132, 127, 126, 8156, 1188, 5826, 14086, 1105, 1566, 26503, 5328, 1125, 1158, 17304, 1214, 3551, 9388, 1460, 31894, 1227, 4921, 1279, 27587, 1125, 1158, 17304, 1214, 3551, 9388, 1460, 19218, 177, 1227, 20835, 15211, 23645, 1125, 1158, 17304, 1214, 3551, 9388, 1460, 1720, 1369, 1125, 29100, 5526, 24116, 1125, 1158, 10948, 7747, 3454, 1379, 5761, 1161, 7432, 32001, 1424, 32000, 20036, 1720, 22809, 10623, 5386, 1306, 4691, 1157, 3378, 5252, 1170, 488, 129, 2749, 488, 124, 132, 127, 126, 1188, 5826, 14086, 2114, 1299, 1189, 5598, 3657, 12870, 11493, 6711, 1227, 20835, 15211, 23645, 1125, 1158, 17304, 1214, 3551, 9388, 7165, 1768, 1299, 16487, 1125, 29100, 1125, 488, 124, 132, 131, 123, 1188, 488, 124, 132, 131, 129, 1167, 3151, 5328, 1125, 1158, 10660, 1125, 17304, 1214, 3551, 9388, 1460, 1125, 488, 124, 132, 132, 124, 1188, 488, 124, 132, 132, 129, 22341, 1234, 18036, 20237, 1541, 7364, 5825, 15948, 29496, 1186, 2749, 488, 124, 132, 127, 126, 8156, 1188, 5826, 14086, 1105, 1566, 26503, 5328, 1125, 1158, 17304, 1214, 3551, 9388, 1460, 31894, 1227, 4921, 1279, 27587, 1125, 1158, 17304, 1214, 3551, 9388, 1460, 19218, 177, 1227, 20835, 15211, 23645, 1125, 1158, 17304, 1214, 3551, 9388, 1460, 1720, 1369, 1125, 29100, 5526, 24116, 1125, 1158, 10948, 7747, 3454, 1379, 5761, 1161, 7432, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 10623, 5386, 1306, 4691, 1157, 3378, 5252, 1170, 488, 129, 2749, 488, 124, 132, 127, 126, 1188, 5826, 14086, 2114, 1299, 1189, 5598, 3657, 12870, 11493, 6711, 1227, 20835, 15211, 23645, 1125, 1158, 17304, 1214, 3551, 9388, 7165, 1768, 1299, 16487, 1125, 29100, 1125, 488, 124, 132, 131, 123, 1188, 488, 124, 132, 131, 129, 1167, 3151, 5328, 1125, 1158, 10660, 1125, 17304, 1214, 3551, 9388, 1460, 1125, 488, 124, 132, 132, 124, 1188, 488, 124, 132, 132, 129, 22341, 1234, 18036, 20237, 1541, 7364, 5825, 15948, 29496, 1186, 2749, 488, 124, 132, 127, 126, 8156, 1188, 5826, 14086, 1105, 1566, 26503, 5328, 1125, 1158, 17304, 1214, 3551, 9388, 1460, 31894, 1227, 4921, 1279, 27587, 1125, 1158, 17304, 1214, 3551, 9388, 1460, 19218, 177, 1227, 20835, 15211, 23645, 1125, 1158, 17304, 1214, 3551, 9388, 1460, 1720, 1369, 1125, 29100, 5526, 24116, 1125, 1158, 10948, 7747, 3454, 1379, 5761, 1161, 7432, 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, 147, 1124, 2066, 19317, 2114, 1227, 1921, 7606, 12001, 6459, 1370, 1594, 6311, 13078, 7788, 8243, 1186, 4083, 1309, 1548, 4744, 1125, 1282, 15511, 21364, 1125, 6280, 24952, 1182, 2357, 2750, 2782, 11708, 1207, 13118, 9405, 1125, 488, 124, 132, 130, 123, 1317, 8612, 1227, 5416, 1793, 19961, 2133, 1495, 121, 1653, 488, 124, 132, 130, 127, 119, 1594, 1921, 11705, 1370, 1125, 1996, 1207, 31228, 1297, 25870, 2985, 3042, 4047, 244, 1125, 6459, 1189, 5987, 10971, 22051, 1357, 1288, 2138, 2960, 1309, 7328, 1318, 3643, 31228, 1186, 2822, 1125, 1816, 1894, 3798, 6982, 1816, 31228, 119, 25870, 6459, 1370, 1189, 5987, 3821, 22051, 9918, 2290, 1170, 1874, 1125, 13719, 25870, 22989, 9994, 2038, 1227, 13078, 7788, 8243, 1194, 181, 7653, 488, 124, 132, 130, 123, 1194, 10201, 1160, 1194, 124, 132, 130, 124, 106, 8590, 10954, 1193, 13747, 27535, 28779, 11174, 1126, 1317, 8536, 1125, 14698, 23982, 1188, 5613, 184, 17467, 1227, 13078, 7788, 8243, 106, 28779, 11174, 1126, 27535, 2460, 1187, 4279, 20530, 1317, 8536, 1125, 14698, 23982, 1125, 1158, 13482, 1167, 1197, 7681, 6893, 1227, 13078, 7788, 8243, 106, 2460, 1187, 4279, 20530, 27535, 8590, 10954, 1193, 13747, 1317, 8536, 1125, 14698, 23982, 1227, 10610, 1125, 17289, 6821, 1227, 13078, 7788, 8243, 106, 8980, 13320, 27535, 20058, 3795, 1516, 1317, 8536, 1125, 1548, 4744, 1125, 1158, 15890, 1197, 8742, 106, 20058, 3795, 1516, 27535, 1165, 2128, 194, 1869, 29294, 1104, 1317, 8536, 1125, 5328, 1125, 27683, 119, 1125, 1158, 12618, 1167, 1125, 1282, 17757, 1227, 13078, 7788, 8243, 106, 10948, 2460, 1345, 16773, 1170, 13078, 7788, 8243, 1186, 4083, 1309, 5328, 1125, 23430, 1194, 124, 132, 130, 125, 106, 5158, 2769, 1655, 1159, 16773, 1170, 13078, 7788, 255, 4048, 7639, 28331, 8590, 10954, 1193, 13747, 1317, 8536, 1125, 14698, 1188, 15318, 1227, 13078, 7788, 8243, 106, 8590, 10954, 1193, 13747, 27535, 22347, 2133, 1366, 196, 1317, 8536, 1125, 14698, 1571, 25274, 21647, 1227, 13078, 7788, 8243, 106, 22347, 2133, 1366, 196, 27535, 6123, 1321, 1108, 14777, 1317, 8536, 1125, 1270, 1452, 10468, 1227, 13078, 7788, 8243, 106, 20058, 3795, 1516, 27535, 9605, 7690, 2443, 1317, 8536, 1125, 14698, 1188, 1158, 25849, 1227, 13078, 7788, 8243, 106, 19961, 20453, 27535, 6123, 1321, 1108, 14777, 1186, 4083, 1309, 1548, 4744, 21860, 1125, 1282, 15511, 1167, 27254, 1170, 8536, 11468, 1125, 20058, 3795, 13774, 1548, 4744, 1125, 1158, 15890, 1197, 8742, 106, 6123, 1321, 1108, 14777, 21180, 1170, 13078, 7788, 8243, 106, 8980, 13320, 27535, 10948, 2460, 1345, 1317, 8536, 1125, 5328, 1125, 23430, 1227, 13078, 7788, 8243, 106, 5922, 2066, 1548, 1263, 27535, 18584, 31918, 1317, 8536, 1125, 14698, 1227, 7252, 1167, 1125, 22535, 1227, 13078, 7788, 8243, 106, 8580, 22630, 1863, 1104, 16773, 1170, 13078, 7788, 8243, 1469, 1189, 8536, 2614, 3250, 9601, 133, 4291, 25013, 23982, 1256, 23712, 21511, 1227, 6973, 1227, 13078, 7788, 8243, 106, 28779, 11174, 1126, 21180, 1170, 13078, 7788, 8243, 1194, 124, 132, 130, 126, 106, 6123, 1321, 1108, 14777, 14065, 1313, 1170, 13078, 7788, 255, 4048, 7639, 28331, 2460, 1187, 4279, 20530, 1317, 8536, 1125, 14698, 1188, 17289, 6821, 7788, 8243, 106, 2460, 1187, 4279, 20530, 27254, 1170, 8536, 2614, 3250, 9601, 1125, 14698, 23982, 1227, 10502, 1197, 3248, 1167, 1125, 1158, 4272, 1197, 20993, 1227, 13078, 7788, 8243, 13459, 2072, 106, 31847, 1227, 21144, 9323, 1167, 5474, 1194, 154, 1228, 5066, 21364, 6700, 1487, 6630, 4917, 9630, 32001, 1424, 32000, 20036, 3050, 1124, 2066, 19317, 2114, 1227, 1921, 7606, 12001, 6459, 1370, 1594, 6311, 13078, 7788, 8243, 1186, 4083, 1309, 1548, 4744, 1125, 1282, 15511, 21364, 1125, 6280, 24952, 1182, 2357, 2750, 2782, 11708, 1207, 13118, 9405, 1125, 488, 124, 132, 130, 123, 1317, 8612, 1227, 5416, 1793, 19961, 2133, 1495, 121, 1653, 488, 124, 132, 130, 127, 119, 1594, 1921, 11705, 1370, 1125, 1996, 1207, 31228, 1297, 25870, 2985, 3042, 4047, 244, 1125, 6459, 1189, 5987, 10971, 22051, 1357, 1288, 2138, 2960, 1309, 7328, 1318, 3643, 31228, 1186, 2822, 1125, 1816, 1894, 3798, 6982, 1816, 31228, 119, 25870, 6459, 1370, 1189, 5987, 3821, 22051, 9918, 2290, 1170, 1874, 1125, 13719, 25870, 22989, 9994, 2038, 1227, 13078, 7788, 8243, 1194, 181, 7653, 488, 124, 132, 130, 123, 1194, 10201, 1160, 1194, 124, 132, 130, 124, 106, 8590, 10954, 1193, 13747, 27535, 28779, 11174, 1126, 1317, 8536, 1125, 14698, 23982, 1188, 5613, 184, 17467, 1227, 13078, 7788, 8243, 106, 28779, 11174, 1126, 27535, 2460, 1187, 4279, 20530, 1317, 8536, 1125, 14698, 23982, 1125, 1158, 13482, 1167, 1197, 7681, 6893, 1227, 13078, 7788, 8243, 106, 2460, 1187, 4279, 20530, 27535, 8590, 10954, 1193, 13747, 1317, 8536, 1125, 14698, 23982, 1227, 10610, 1125, 17289, 6821, 1227, 13078, 7788, 8243, 106, 8980, 13320, 27535, 20058, 3795, 1516, 1317, 8536, 1125, 1548, 4744, 1125, 1158, 15890, 1197, 8742, 106, 20058, 3795, 1516, 27535, 1165, 2128, 194, 1869, 29294, 1104, 1317, 8536, 1125, 5328, 1125, 27683, 119, 1125, 1158, 12618, 1167, 1125, 1282, 17757, 1227, 13078, 7788, 8243, 106, 10948, 2460, 1345, 16773, 1170, 13078, 7788, 8243, 1186, 4083, 1309, 5328, 1125, 23430, 1194, 124, 132, 130, 125, 106, 5158, 2769, 1655, 1159, 16773, 1170, 13078, 7788, 255, 4048, 7639, 28331, 8590, 10954, 1193, 13747, 1317, 8536, 1125, 14698, 1188, 15318, 1227, 13078, 7788, 8243, 106, 8590, 10954, 1193, 13747, 27535, 22347, 2133, 1366, 196, 1317, 8536, 1125, 14698, 1571, 25274, 21647, 1227, 13078, 7788, 8243, 106, 22347, 2133, 1366, 196, 27535, 6123, 1321, 1108, 14777, 1317, 8536, 1125, 1270, 1452, 10468, 1227, 13078, 7788, 8243, 106, 20058, 3795, 1516, 27535, 9605, 7690, 2443, 1317, 8536, 1125, 14698, 1188, 1158, 25849, 1227, 13078, 7788, 8243, 106, 19961, 20453, 27535, 6123, 1321, 1108, 14777, 1186, 4083, 1309, 1548, 4744, 21860, 1125, 1282, 15511, 1167, 27254, 1170, 8536, 11468, 1125, 20058, 3795, 13774, 1548, 4744, 1125, 1158, 15890, 1197, 8742, 106, 6123, 1321, 1108, 14777, 21180, 1170, 13078, 7788, 8243, 106, 8980, 13320, 27535, 10948, 2460, 1345, 1317, 8536, 1125, 5328, 1125, 23430, 1227, 13078, 7788, 8243, 106, 5922, 2066, 1548, 1263, 27535, 18584, 31918, 1317, 8536, 1125, 14698, 1227, 7252, 1167, 1125, 22535, 1227, 13078, 7788, 8243, 106, 8580, 22630, 1863, 1104, 16773, 1170, 13078, 7788, 8243, 1469, 1189, 8536, 2614, 3250, 9601, 133, 4291, 25013, 23982, 1256, 23712, 21511, 1227, 6973, 1227, 13078, 7788, 8243, 106, 28779, 11174, 1126, 21180, 1170, 13078, 7788, 8243, 1194, 124, 132, 130, 126, 106, 6123, 1321, 1108, 14777, 14065, 1313, 1170, 13078, 7788, 255, 4048, 7639, 28331, 2460, 1187, 4279, 20530, 1317, 8536, 1125, 14698, 1188, 17289, 6821, 7788, 8243, 106, 2460, 1187, 4279, 20530, 27254, 1170, 8536, 2614, 3250, 9601, 1125, 14698, 23982, 1227, 10502, 1197, 3248, 1167, 1125, 1158, 4272, 1197, 20993, 1227, 13078, 7788, 8243, 13459, 2072, 106, 31847, 1227, 21144, 9323, 1167, 5474, 1194, 154, 1228, 5066, 21364, 6700, 1487, 6630, 4917, 9630, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 3050, 1124, 2066, 19317, 2114, 1227, 1921, 7606, 12001, 6459, 1370, 1594, 6311, 13078, 7788, 8243, 1186, 4083, 1309, 1548, 4744, 1125, 1282, 15511, 21364, 1125, 6280, 24952, 1182, 2357, 2750, 2782, 11708, 1207, 13118, 9405, 1125, 488, 124, 132, 130, 123, 1317, 8612, 1227, 5416, 1793, 19961, 2133, 1495, 121, 1653, 488, 124, 132, 130, 127, 119, 1594, 1921, 11705, 1370, 1125, 1996, 1207, 31228, 1297, 25870, 2985, 3042, 4047, 244, 1125, 6459, 1189, 5987, 10971, 22051, 1357, 1288, 2138, 2960, 1309, 7328, 1318, 3643, 31228, 1186, 2822, 1125, 1816, 1894, 3798, 6982, 1816, 31228, 119, 25870, 6459, 1370, 1189, 5987, 3821, 22051, 9918, 2290, 1170, 1874, 1125, 13719, 25870, 22989, 9994, 2038, 1227, 13078, 7788, 8243, 1194, 181, 7653, 488, 124, 132, 130, 123, 1194, 10201, 1160, 1194, 124, 132, 130, 124, 106, 8590, 10954, 1193, 13747, 27535, 28779, 11174, 1126, 1317, 8536, 1125, 14698, 23982, 1188, 5613, 184, 17467, 1227, 13078, 7788, 8243, 106, 28779, 11174, 1126, 27535, 2460, 1187, 4279, 20530, 1317, 8536, 1125, 14698, 23982, 1125, 1158, 13482, 1167, 1197, 7681, 6893, 1227, 13078, 7788, 8243, 106, 2460, 1187, 4279, 20530, 27535, 8590, 10954, 1193, 13747, 1317, 8536, 1125, 14698, 23982, 1227, 10610, 1125, 17289, 6821, 1227, 13078, 7788, 8243, 106, 8980, 13320, 27535, 20058, 3795, 1516, 1317, 8536, 1125, 1548, 4744, 1125, 1158, 15890, 1197, 8742, 106, 20058, 3795, 1516, 27535, 1165, 2128, 194, 1869, 29294, 1104, 1317, 8536, 1125, 5328, 1125, 27683, 119, 1125, 1158, 12618, 1167, 1125, 1282, 17757, 1227, 13078, 7788, 8243, 106, 10948, 2460, 1345, 16773, 1170, 13078, 7788, 8243, 1186, 4083, 1309, 5328, 1125, 23430, 1194, 124, 132, 130, 125, 106, 5158, 2769, 1655, 1159, 16773, 1170, 13078, 7788, 255, 4048, 7639, 28331, 8590, 10954, 1193, 13747, 1317, 8536, 1125, 14698, 1188, 15318, 1227, 13078, 7788, 8243, 106, 8590, 10954, 1193, 13747, 27535, 22347, 2133, 1366, 196, 1317, 8536, 1125, 14698, 1571, 25274, 21647, 1227, 13078, 7788, 8243, 106, 22347, 2133, 1366, 196, 27535, 6123, 1321, 1108, 14777, 1317, 8536, 1125, 1270, 1452, 10468, 1227, 13078, 7788, 8243, 106, 20058, 3795, 1516, 27535, 9605, 7690, 2443, 1317, 8536, 1125, 14698, 1188, 1158, 25849, 1227, 13078, 7788, 8243, 106, 19961, 20453, 27535, 6123, 1321, 1108, 14777, 1186, 4083, 1309, 1548, 4744, 21860, 1125, 1282, 15511, 1167, 27254, 1170, 8536, 11468, 1125, 20058, 3795, 13774, 1548, 4744, 1125, 1158, 15890, 1197, 8742, 106, 6123, 1321, 1108, 14777, 21180, 1170, 13078, 7788, 8243, 106, 8980, 13320, 27535, 10948, 2460, 1345, 1317, 8536, 1125, 5328, 1125, 23430, 1227, 13078, 7788, 8243, 106, 5922, 2066, 1548, 1263, 27535, 18584, 31918, 1317, 8536, 1125, 14698, 1227, 7252, 1167, 1125, 22535, 1227, 13078, 7788, 8243, 106, 8580, 22630, 1863, 1104, 16773, 1170, 13078, 7788, 8243, 1469, 1189, 8536, 2614, 3250, 9601, 133, 4291, 25013, 23982, 1256, 23712, 21511, 1227, 6973, 1227, 13078, 7788, 8243, 106, 28779, 11174, 1126, 21180, 1170, 13078, 7788, 8243, 1194, 124, 132, 130, 126, 106, 6123, 1321, 1108, 14777, 14065, 1313, 1170, 13078, 7788, 255, 4048, 7639, 28331, 2460, 1187, 4279, 20530, 1317, 8536, 1125, 14698, 1188, 17289, 6821, 7788, 8243, 106, 2460, 1187, 4279, 20530, 27254, 1170, 8536, 2614, 3250, 9601, 1125, 14698, 23982, 1227, 10502, 1197, 3248, 1167, 1125, 1158, 4272, 1197, 20993, 1227, 13078, 7788, 8243, 13459, 2072, 106, 31847, 1227, 21144, 9323, 1167, 5474, 1194, 154, 1228, 5066, 21364, 6700, 1487, 6630, 4917, 9630, 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, 24501, 13703, 1227, 6745, 6348, 19085, 488, 125, 123, 124, 125, 8135, 8866, 21619, 1170, 14391, 488, 125, 125, 3201, 119, 1910, 1199, 1125, 6302, 1150, 252, 186, 1167, 6663, 1199, 1313, 1158, 2076, 3837, 2750, 14756, 17886, 1125, 12516, 1256, 1189, 3983, 1125, 488, 124, 130, 125, 1498, 5784, 2093, 2951, 174, 1627, 1125, 23887, 2852, 12176, 488, 13703, 1281, 8866, 2495, 172, 2774, 2290, 1158, 4438, 2335, 12516, 119, 3557, 1318, 13703, 23185, 1571, 17031, 1109, 3051, 2585, 1207, 11843, 21376, 9931, 31217, 1313, 1170, 15848, 1190, 3847, 6053, 1318, 13703, 1125, 8522, 2585, 1527, 15648, 5350, 1982, 6510, 1571, 6676, 1842, 1167, 1571, 1270, 4038, 8509, 1356, 1118, 1692, 1125, 1158, 4235, 2359, 4275, 180, 1125, 1816, 13703, 1299, 4172, 1867, 8408, 182, 1172, 173, 1175, 6016, 1180, 3441, 179, 1195, 7497, 1496, 1357, 8135, 3839, 10100, 244, 1300, 1816, 1352, 2497, 3113, 2391, 1125, 1158, 6311, 1754, 26802, 1808, 1656, 190, 10620, 1508, 6389, 5419, 1354, 3454, 1119, 24227, 14091, 1766, 5086, 146, 3799, 3625, 7463, 1496, 1282, 4515, 21733, 1254, 18009, 23503, 2323, 180, 6574, 2647, 1205, 1141, 3926, 1783, 1414, 1366, 1496, 1170, 1233, 9388, 1460, 6507, 7278, 4913, 4289, 6200, 1496, 5941, 1214, 1126, 31918, 1384, 6700, 1217, 2504, 4506, 1480, 6488, 1470, 1119, 1496, 25061, 10170, 8297, 27060, 11814, 181, 1141, 4698, 1651, 1267, 1124, 1496, 1266, 16168, 7358, 179, 30230, 5587, 143, 149, 3551, 1205, 23828, 116, 2442, 1309, 5610, 1114, 3170, 1201, 18726, 1630, 2852, 1281, 23408, 2130, 15136, 119, 1189, 2077, 9721, 1299, 1921, 4374, 1188, 1282, 5943, 1257, 5613, 2145, 2288, 1172, 1125, 10796, 2602, 1132, 1308, 16330, 1321, 14518, 31253, 6930, 121, 2576, 7197, 1562, 1303, 1299, 13341, 1935, 187, 1303, 1167, 1207, 10431, 1125, 17031, 1109, 3051, 1281, 20659, 1186, 14801, 4511, 488, 128, 123, 123, 13061, 1125, 1158, 3028, 11734, 2486, 2806, 1867, 8408, 182, 1172, 173, 1299, 18513, 1186, 9640, 3620, 1313, 1158, 4089, 176, 2335, 6428, 12161, 5941, 1214, 1126, 31918, 1384, 12208, 1594, 1114, 3170, 1125, 7477, 121, 1867, 8408, 182, 1172, 173, 1299, 1170, 4374, 1188, 3937, 4110, 1594, 1114, 4824, 1167, 1170, 26748, 1313, 1207, 488, 124, 123, 123, 8176, 13061, 1167, 22058, 2284, 7526, 10958, 30230, 4020, 1201, 1712, 6574, 1190, 1845, 3551, 1140, 1120, 1172, 116, 5909, 1158, 8483, 2320, 8155, 14408, 4610, 1299, 23259, 1475, 3502, 4172, 1867, 8408, 182, 1172, 173, 20861, 1170, 1423, 26170, 1227, 14408, 1215, 4153, 22341, 1234, 18036, 1194, 2809, 14443, 1125, 23887, 2852, 1194, 7135, 190, 9730, 1234, 1194, 2809, 2139, 1525, 1188, 25994, 1125, 23887, 2852, 1194, 2809, 14443, 4610, 1194, 2809, 14443, 1215, 4153, 1194, 2809, 14443, 1227, 6005, 29697, 1326, 1136, 1194, 2809, 14443, 1227, 3254, 3356, 1194, 2809, 14443, 1215, 10431, 9323, 1167, 20117, 2072, 1194, 11333, 5888, 176, 1424, 6745, 6348, 19085, 488, 125, 123, 124, 125, 7364, 5825, 1424, 1548, 6745, 6348, 19085, 488, 125, 123, 124, 125, 1300, 1170, 1865, 9229, 1227, 6745, 6348, 19085, 106, 2576, 1630, 2852, 1300, 11979, 1149, 2789, 9708, 1194, 123, 128, 488, 125, 123, 124, 125, 120, 123, 131, 120, 125, 125, 106, 125, 123, 124, 125, 119, 488, 123, 131, 1194, 1108, 133, 125, 123, 124, 125, 1352, 2497, 3113, 1110, 10665, 22710, 1810, 26198, 488, 124, 1163, 26198, 488, 124, 124, 110, 29952, 488, 128, 106, 18977, 140, 3907, 20109, 11699, 1301, 1141, 1125, 1158, 1352, 2497, 3113, 1110, 10665, 22710, 172, 488, 125, 123, 124, 125, 110, 11699, 1301, 172, 488, 128, 121, 488, 125, 125, 1125, 1711, 1531, 186, 1125, 488, 125, 123, 124, 125, 121, 6302, 1150, 252, 3589, 4863, 1150, 252, 2086, 488, 124, 130, 125, 7275, 114, 32001, 1424, 32000, 20036, 2895, 488, 24501, 13703, 1227, 6745, 6348, 19085, 488, 125, 123, 124, 125, 8135, 8866, 21619, 1170, 14391, 488, 125, 125, 3201, 119, 1910, 1199, 1125, 6302, 1150, 252, 186, 1167, 6663, 1199, 1313, 1158, 2076, 3837, 2750, 14756, 17886, 1125, 12516, 1256, 1189, 3983, 1125, 488, 124, 130, 125, 1498, 5784, 2093, 2951, 174, 1627, 1125, 23887, 2852, 12176, 488, 13703, 1281, 8866, 2495, 172, 2774, 2290, 1158, 4438, 2335, 12516, 119, 3557, 1318, 13703, 23185, 1571, 17031, 1109, 3051, 2585, 1207, 11843, 21376, 9931, 31217, 1313, 1170, 15848, 1190, 3847, 6053, 1318, 13703, 1125, 8522, 2585, 1527, 15648, 5350, 1982, 6510, 1571, 6676, 1842, 1167, 1571, 1270, 4038, 8509, 1356, 1118, 1692, 1125, 1158, 4235, 2359, 4275, 180, 1125, 1816, 13703, 1299, 4172, 1867, 8408, 182, 1172, 173, 1175, 6016, 1180, 3441, 179, 1195, 7497, 1496, 1357, 8135, 3839, 10100, 244, 1300, 1816, 1352, 2497, 3113, 2391, 1125, 1158, 6311, 1754, 26802, 1808, 1656, 190, 10620, 1508, 6389, 5419, 1354, 3454, 1119, 24227, 14091, 1766, 5086, 146, 3799, 3625, 7463, 1496, 1282, 4515, 21733, 1254, 18009, 23503, 2323, 180, 6574, 2647, 1205, 1141, 3926, 1783, 1414, 1366, 1496, 1170, 1233, 9388, 1460, 6507, 7278, 4913, 4289, 6200, 1496, 5941, 1214, 1126, 31918, 1384, 6700, 1217, 2504, 4506, 1480, 6488, 1470, 1119, 1496, 25061, 10170, 8297, 27060, 11814, 181, 1141, 4698, 1651, 1267, 1124, 1496, 1266, 16168, 7358, 179, 30230, 5587, 143, 149, 3551, 1205, 23828, 116, 2442, 1309, 5610, 1114, 3170, 1201, 18726, 1630, 2852, 1281, 23408, 2130, 15136, 119, 1189, 2077, 9721, 1299, 1921, 4374, 1188, 1282, 5943, 1257, 5613, 2145, 2288, 1172, 1125, 10796, 2602, 1132, 1308, 16330, 1321, 14518, 31253, 6930, 121, 2576, 7197, 1562, 1303, 1299, 13341, 1935, 187, 1303, 1167, 1207, 10431, 1125, 17031, 1109, 3051, 1281, 20659, 1186, 14801, 4511, 488, 128, 123, 123, 13061, 1125, 1158, 3028, 11734, 2486, 2806, 1867, 8408, 182, 1172, 173, 1299, 18513, 1186, 9640, 3620, 1313, 1158, 4089, 176, 2335, 6428, 12161, 5941, 1214, 1126, 31918, 1384, 12208, 1594, 1114, 3170, 1125, 7477, 121, 1867, 8408, 182, 1172, 173, 1299, 1170, 4374, 1188, 3937, 4110, 1594, 1114, 4824, 1167, 1170, 26748, 1313, 1207, 488, 124, 123, 123, 8176, 13061, 1167, 22058, 2284, 7526, 10958, 30230, 4020, 1201, 1712, 6574, 1190, 1845, 3551, 1140, 1120, 1172, 116, 5909, 1158, 8483, 2320, 8155, 14408, 4610, 1299, 23259, 1475, 3502, 4172, 1867, 8408, 182, 1172, 173, 20861, 1170, 1423, 26170, 1227, 14408, 1215, 4153, 22341, 1234, 18036, 1194, 2809, 14443, 1125, 23887, 2852, 1194, 7135, 190, 9730, 1234, 1194, 2809, 2139, 1525, 1188, 25994, 1125, 23887, 2852, 1194, 2809, 14443, 4610, 1194, 2809, 14443, 1215, 4153, 1194, 2809, 14443, 1227, 6005, 29697, 1326, 1136, 1194, 2809, 14443, 1227, 3254, 3356, 1194, 2809, 14443, 1215, 10431, 9323, 1167, 20117, 2072, 1194, 11333, 5888, 176, 1424, 6745, 6348, 19085, 488, 125, 123, 124, 125, 7364, 5825, 1424, 1548, 6745, 6348, 19085, 488, 125, 123, 124, 125, 1300, 1170, 1865, 9229, 1227, 6745, 6348, 19085, 106, 2576, 1630, 2852, 1300, 11979, 1149, 2789, 9708, 1194, 123, 128, 488, 125, 123, 124, 125, 120, 123, 131, 120, 125, 125, 106, 125, 123, 124, 125, 119, 488, 123, 131, 1194, 1108, 133, 125, 123, 124, 125, 1352, 2497, 3113, 1110, 10665, 22710, 1810, 26198, 488, 124, 1163, 26198, 488, 124, 124, 110, 29952, 488, 128, 106, 18977, 140, 3907, 20109, 11699, 1301, 1141, 1125, 1158, 1352, 2497, 3113, 1110, 10665, 22710, 172, 488, 125, 123, 124, 125, 110, 11699, 1301, 172, 488, 128, 121, 488, 125, 125, 1125, 1711, 1531, 186, 1125, 488, 125, 123, 124, 125, 121, 6302, 1150, 252, 3589, 4863, 1150, 252, 2086, 488, 124, 130, 125, 7275, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 24501, 13703, 1227, 6745, 6348, 19085, 488, 125, 123, 124, 125, 8135, 8866, 21619, 1170, 14391, 488, 125, 125, 3201, 119, 1910, 1199, 1125, 6302, 1150, 252, 186, 1167, 6663, 1199, 1313, 1158, 2076, 3837, 2750, 14756, 17886, 1125, 12516, 1256, 1189, 3983, 1125, 488, 124, 130, 125, 1498, 5784, 2093, 2951, 174, 1627, 1125, 23887, 2852, 12176, 488, 13703, 1281, 8866, 2495, 172, 2774, 2290, 1158, 4438, 2335, 12516, 119, 3557, 1318, 13703, 23185, 1571, 17031, 1109, 3051, 2585, 1207, 11843, 21376, 9931, 31217, 1313, 1170, 15848, 1190, 3847, 6053, 1318, 13703, 1125, 8522, 2585, 1527, 15648, 5350, 1982, 6510, 1571, 6676, 1842, 1167, 1571, 1270, 4038, 8509, 1356, 1118, 1692, 1125, 1158, 4235, 2359, 4275, 180, 1125, 1816, 13703, 1299, 4172, 1867, 8408, 182, 1172, 173, 1175, 6016, 1180, 3441, 179, 1195, 7497, 1496, 1357, 8135, 3839, 10100, 244, 1300, 1816, 1352, 2497, 3113, 2391, 1125, 1158, 6311, 1754, 26802, 1808, 1656, 190, 10620, 1508, 6389, 5419, 1354, 3454, 1119, 24227, 14091, 1766, 5086, 146, 3799, 3625, 7463, 1496, 1282, 4515, 21733, 1254, 18009, 23503, 2323, 180, 6574, 2647, 1205, 1141, 3926, 1783, 1414, 1366, 1496, 1170, 1233, 9388, 1460, 6507, 7278, 4913, 4289, 6200, 1496, 5941, 1214, 1126, 31918, 1384, 6700, 1217, 2504, 4506, 1480, 6488, 1470, 1119, 1496, 25061, 10170, 8297, 27060, 11814, 181, 1141, 4698, 1651, 1267, 1124, 1496, 1266, 16168, 7358, 179, 30230, 5587, 143, 149, 3551, 1205, 23828, 116, 2442, 1309, 5610, 1114, 3170, 1201, 18726, 1630, 2852, 1281, 23408, 2130, 15136, 119, 1189, 2077, 9721, 1299, 1921, 4374, 1188, 1282, 5943, 1257, 5613, 2145, 2288, 1172, 1125, 10796, 2602, 1132, 1308, 16330, 1321, 14518, 31253, 6930, 121, 2576, 7197, 1562, 1303, 1299, 13341, 1935, 187, 1303, 1167, 1207, 10431, 1125, 17031, 1109, 3051, 1281, 20659, 1186, 14801, 4511, 488, 128, 123, 123, 13061, 1125, 1158, 3028, 11734, 2486, 2806, 1867, 8408, 182, 1172, 173, 1299, 18513, 1186, 9640, 3620, 1313, 1158, 4089, 176, 2335, 6428, 12161, 5941, 1214, 1126, 31918, 1384, 12208, 1594, 1114, 3170, 1125, 7477, 121, 1867, 8408, 182, 1172, 173, 1299, 1170, 4374, 1188, 3937, 4110, 1594, 1114, 4824, 1167, 1170, 26748, 1313, 1207, 488, 124, 123, 123, 8176, 13061, 1167, 22058, 2284, 7526, 10958, 30230, 4020, 1201, 1712, 6574, 1190, 1845, 3551, 1140, 1120, 1172, 116, 5909, 1158, 8483, 2320, 8155, 14408, 4610, 1299, 23259, 1475, 3502, 4172, 1867, 8408, 182, 1172, 173, 20861, 1170, 1423, 26170, 1227, 14408, 1215, 4153, 22341, 1234, 18036, 1194, 2809, 14443, 1125, 23887, 2852, 1194, 7135, 190, 9730, 1234, 1194, 2809, 2139, 1525, 1188, 25994, 1125, 23887, 2852, 1194, 2809, 14443, 4610, 1194, 2809, 14443, 1215, 4153, 1194, 2809, 14443, 1227, 6005, 29697, 1326, 1136, 1194, 2809, 14443, 1227, 3254, 3356, 1194, 2809, 14443, 1215, 10431, 9323, 1167, 20117, 2072, 1194, 11333, 5888, 176, 1424, 6745, 6348, 19085, 488, 125, 123, 124, 125, 7364, 5825, 1424, 1548, 6745, 6348, 19085, 488, 125, 123, 124, 125, 1300, 1170, 1865, 9229, 1227, 6745, 6348, 19085, 106, 2576, 1630, 2852, 1300, 11979, 1149, 2789, 9708, 1194, 123, 128, 488, 125, 123, 124, 125, 120, 123, 131, 120, 125, 125, 106, 125, 123, 124, 125, 119, 488, 123, 131, 1194, 1108, 133, 125, 123, 124, 125, 1352, 2497, 3113, 1110, 10665, 22710, 1810, 26198, 488, 124, 1163, 26198, 488, 124, 124, 110, 29952, 488, 128, 106, 18977, 140, 3907, 20109, 11699, 1301, 1141, 1125, 1158, 1352, 2497, 3113, 1110, 10665, 22710, 172, 488, 125, 123, 124, 125, 110, 11699, 1301, 172, 488, 128, 121, 488, 125, 125, 1125, 1711, 1531, 186, 1125, 488, 125, 123, 124, 125, 121, 6302, 1150, 252, 3589, 4863, 1150, 252, 2086, 488, 124, 130, 125, 7275, 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, 15440, 1293, 1334, 4688, 4853, 1132, 1210, 2357, 5252, 1170, 488, 125, 2829, 488, 124, 132, 124, 126, 1188, 1202, 1259, 1462, 1183, 1167, 4541, 1170, 488, 128, 2921, 488, 125, 123, 124, 123, 1188, 5763, 2104, 15316, 1299, 1189, 5373, 1833, 2038, 15173, 15560, 1125, 5613, 19085, 5373, 1833, 1366, 14231, 6538, 1299, 15666, 11097, 1125, 1158, 8200, 172, 1125, 26099, 236, 197, 5090, 1186, 488, 124, 132, 127, 128, 120, 124, 132, 127, 129, 12258, 21635, 1318, 21203, 1300, 13400, 24644, 1186, 1548, 6930, 1167, 8200, 25529, 1317, 17990, 24373, 4780, 1186, 488, 124, 132, 130, 124, 1188, 15714, 2801, 1173, 10584, 1767, 120, 23241, 9873, 2290, 1158, 4595, 1125, 9436, 1204, 1815, 1128, 1227, 12319, 17726, 12258, 1299, 13787, 6111, 3833, 5373, 1833, 1366, 1188, 15714, 1125, 19104, 22571, 488, 124, 132, 131, 124, 121, 6982, 1561, 11521, 1527, 1281, 2299, 5738, 1188, 5763, 2104, 1183, 1167, 4216, 1125, 14583, 1197, 5031, 1300, 5613, 19085, 5373, 1833, 1366, 8732, 1565, 1430, 5874, 1204, 2394, 181, 2289, 1571, 7219, 1120, 1485, 1257, 2069, 29205, 2069, 23297, 1346, 488, 124, 132, 128, 131, 1720, 19537, 1167, 23445, 1313, 5613, 19085, 1227, 8030, 1167, 1227, 4779, 1257, 27283, 4996, 176, 1323, 11402, 176, 6298, 1496, 488, 124, 132, 129, 125, 8055, 2176, 1125, 13400, 5373, 1833, 1366, 1227, 13728, 119, 3458, 22976, 1256, 1318, 3643, 23813, 1125, 1158, 25571, 488, 124, 132, 129, 129, 6725, 30609, 29624, 1125, 5613, 19085, 10600, 1129, 1164, 1105, 1366, 1167, 13676, 1227, 2271, 31549, 6298, 1257, 3458, 30964, 1300, 4399, 3917, 243, 9551, 488, 124, 132, 129, 132, 6997, 2942, 1300, 13400, 24644, 1186, 20288, 1167, 1186, 8200, 25529, 1317, 17990, 24373, 4780, 488, 124, 132, 130, 124, 8055, 2176, 2519, 5601, 1186, 2315, 1125, 19889, 1125, 24732, 2589, 5945, 1257, 9590, 3202, 2137, 1167, 13261, 16137, 2391, 1227, 9209, 16003, 178, 1234, 1187, 1141, 1175, 124, 126, 127, 124, 120, 124, 126, 127, 127, 1496, 488, 124, 132, 130, 125, 24357, 7568, 1167, 6321, 1125, 5613, 19085, 14224, 11150, 1317, 17990, 24373, 4780, 16801, 7747, 2908, 1109, 3050, 7569, 1575, 7697, 4436, 1125, 1548, 6930, 1251, 8200, 2952, 172, 1186, 1158, 5826, 1217, 10239, 1257, 27283, 3463, 176, 1323, 11402, 176, 6298, 1496, 488, 124, 132, 130, 132, 2608, 14083, 1125, 1158, 2315, 1167, 1125, 1158, 8200, 25529, 1227, 2271, 4996, 176, 19565, 488, 124, 132, 131, 125, 2359, 2126, 4080, 21645, 1376, 186, 6293, 248, 12603, 1125, 1350, 27781, 2036, 3559, 26725, 12322, 2993, 1369, 1167, 1318, 6392, 1902, 1317, 4319, 1227, 2271, 31549, 19565, 17028, 29701, 2888, 1343, 1285, 488, 124, 132, 131, 125, 5526, 15051, 1167, 3385, 1313, 1207, 3293, 1125, 1158, 31498, 1125, 8200, 1401, 3476, 16801, 17028, 29701, 1863, 3170, 1285, 488, 124, 132, 131, 125, 119, 488, 126, 128, 125, 5840, 7216, 9400, 2363, 2606, 1352, 1993, 5700, 1257, 16613, 1460, 1125, 6714, 1202, 4782, 18096, 252, 2086, 23366, 1125, 1233, 2497, 185, 1810, 488, 124, 126, 130, 131, 120, 124, 127, 128, 126, 119, 488, 126, 130, 126, 28890, 488, 125, 123, 123, 124, 119, 16801, 8346, 18932, 1285, 1763, 1267, 15004, 2523, 124, 132, 130, 131, 1257, 3248, 1545, 1356, 1118, 7821, 106, 124, 132, 132, 130, 1257, 3699, 1293, 1334, 4688, 4853, 1132, 3134, 2985, 1844, 28067, 12886, 1120, 12488, 172, 1125, 15714, 1125, 29485, 1217, 6000, 24890, 7364, 5825, 22195, 7569, 1354, 2720, 1227, 23841, 6298, 1720, 3931, 1833, 2038, 2720, 3147, 1206, 12397, 1188, 15714, 1125, 19104, 1489, 24666, 1128, 1227, 3248, 1545, 1356, 1118, 7821, 1763, 1237, 1836, 12886, 1120, 12488, 172, 1125, 15714, 1125, 29485, 1217, 6000, 8156, 1186, 2829, 488, 124, 132, 124, 126, 9317, 1186, 2921, 488, 125, 123, 124, 123, 9317, 1188, 488, 132, 130, 2165, 32001, 1424, 32000, 20036, 22016, 1293, 1334, 4688, 4853, 1132, 1210, 2357, 5252, 1170, 488, 125, 2829, 488, 124, 132, 124, 126, 1188, 1202, 1259, 1462, 1183, 1167, 4541, 1170, 488, 128, 2921, 488, 125, 123, 124, 123, 1188, 5763, 2104, 15316, 1299, 1189, 5373, 1833, 2038, 15173, 15560, 1125, 5613, 19085, 5373, 1833, 1366, 14231, 6538, 1299, 15666, 11097, 1125, 1158, 8200, 172, 1125, 26099, 236, 197, 5090, 1186, 488, 124, 132, 127, 128, 120, 124, 132, 127, 129, 12258, 21635, 1318, 21203, 1300, 13400, 24644, 1186, 1548, 6930, 1167, 8200, 25529, 1317, 17990, 24373, 4780, 1186, 488, 124, 132, 130, 124, 1188, 15714, 2801, 1173, 10584, 1767, 120, 23241, 9873, 2290, 1158, 4595, 1125, 9436, 1204, 1815, 1128, 1227, 12319, 17726, 12258, 1299, 13787, 6111, 3833, 5373, 1833, 1366, 1188, 15714, 1125, 19104, 22571, 488, 124, 132, 131, 124, 121, 6982, 1561, 11521, 1527, 1281, 2299, 5738, 1188, 5763, 2104, 1183, 1167, 4216, 1125, 14583, 1197, 5031, 1300, 5613, 19085, 5373, 1833, 1366, 8732, 1565, 1430, 5874, 1204, 2394, 181, 2289, 1571, 7219, 1120, 1485, 1257, 2069, 29205, 2069, 23297, 1346, 488, 124, 132, 128, 131, 1720, 19537, 1167, 23445, 1313, 5613, 19085, 1227, 8030, 1167, 1227, 4779, 1257, 27283, 4996, 176, 1323, 11402, 176, 6298, 1496, 488, 124, 132, 129, 125, 8055, 2176, 1125, 13400, 5373, 1833, 1366, 1227, 13728, 119, 3458, 22976, 1256, 1318, 3643, 23813, 1125, 1158, 25571, 488, 124, 132, 129, 129, 6725, 30609, 29624, 1125, 5613, 19085, 10600, 1129, 1164, 1105, 1366, 1167, 13676, 1227, 2271, 31549, 6298, 1257, 3458, 30964, 1300, 4399, 3917, 243, 9551, 488, 124, 132, 129, 132, 6997, 2942, 1300, 13400, 24644, 1186, 20288, 1167, 1186, 8200, 25529, 1317, 17990, 24373, 4780, 488, 124, 132, 130, 124, 8055, 2176, 2519, 5601, 1186, 2315, 1125, 19889, 1125, 24732, 2589, 5945, 1257, 9590, 3202, 2137, 1167, 13261, 16137, 2391, 1227, 9209, 16003, 178, 1234, 1187, 1141, 1175, 124, 126, 127, 124, 120, 124, 126, 127, 127, 1496, 488, 124, 132, 130, 125, 24357, 7568, 1167, 6321, 1125, 5613, 19085, 14224, 11150, 1317, 17990, 24373, 4780, 16801, 7747, 2908, 1109, 3050, 7569, 1575, 7697, 4436, 1125, 1548, 6930, 1251, 8200, 2952, 172, 1186, 1158, 5826, 1217, 10239, 1257, 27283, 3463, 176, 1323, 11402, 176, 6298, 1496, 488, 124, 132, 130, 132, 2608, 14083, 1125, 1158, 2315, 1167, 1125, 1158, 8200, 25529, 1227, 2271, 4996, 176, 19565, 488, 124, 132, 131, 125, 2359, 2126, 4080, 21645, 1376, 186, 6293, 248, 12603, 1125, 1350, 27781, 2036, 3559, 26725, 12322, 2993, 1369, 1167, 1318, 6392, 1902, 1317, 4319, 1227, 2271, 31549, 19565, 17028, 29701, 2888, 1343, 1285, 488, 124, 132, 131, 125, 5526, 15051, 1167, 3385, 1313, 1207, 3293, 1125, 1158, 31498, 1125, 8200, 1401, 3476, 16801, 17028, 29701, 1863, 3170, 1285, 488, 124, 132, 131, 125, 119, 488, 126, 128, 125, 5840, 7216, 9400, 2363, 2606, 1352, 1993, 5700, 1257, 16613, 1460, 1125, 6714, 1202, 4782, 18096, 252, 2086, 23366, 1125, 1233, 2497, 185, 1810, 488, 124, 126, 130, 131, 120, 124, 127, 128, 126, 119, 488, 126, 130, 126, 28890, 488, 125, 123, 123, 124, 119, 16801, 8346, 18932, 1285, 1763, 1267, 15004, 2523, 124, 132, 130, 131, 1257, 3248, 1545, 1356, 1118, 7821, 106, 124, 132, 132, 130, 1257, 3699, 1293, 1334, 4688, 4853, 1132, 3134, 2985, 1844, 28067, 12886, 1120, 12488, 172, 1125, 15714, 1125, 29485, 1217, 6000, 24890, 7364, 5825, 22195, 7569, 1354, 2720, 1227, 23841, 6298, 1720, 3931, 1833, 2038, 2720, 3147, 1206, 12397, 1188, 15714, 1125, 19104, 1489, 24666, 1128, 1227, 3248, 1545, 1356, 1118, 7821, 1763, 1237, 1836, 12886, 1120, 12488, 172, 1125, 15714, 1125, 29485, 1217, 6000, 8156, 1186, 2829, 488, 124, 132, 124, 126, 9317, 1186, 2921, 488, 125, 123, 124, 123, 9317, 1188, 488, 132, 130, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1293, 1334, 4688, 4853, 1132, 1210, 2357, 5252, 1170, 488, 125, 2829, 488, 124, 132, 124, 126, 1188, 1202, 1259, 1462, 1183, 1167, 4541, 1170, 488, 128, 2921, 488, 125, 123, 124, 123, 1188, 5763, 2104, 15316, 1299, 1189, 5373, 1833, 2038, 15173, 15560, 1125, 5613, 19085, 5373, 1833, 1366, 14231, 6538, 1299, 15666, 11097, 1125, 1158, 8200, 172, 1125, 26099, 236, 197, 5090, 1186, 488, 124, 132, 127, 128, 120, 124, 132, 127, 129, 12258, 21635, 1318, 21203, 1300, 13400, 24644, 1186, 1548, 6930, 1167, 8200, 25529, 1317, 17990, 24373, 4780, 1186, 488, 124, 132, 130, 124, 1188, 15714, 2801, 1173, 10584, 1767, 120, 23241, 9873, 2290, 1158, 4595, 1125, 9436, 1204, 1815, 1128, 1227, 12319, 17726, 12258, 1299, 13787, 6111, 3833, 5373, 1833, 1366, 1188, 15714, 1125, 19104, 22571, 488, 124, 132, 131, 124, 121, 6982, 1561, 11521, 1527, 1281, 2299, 5738, 1188, 5763, 2104, 1183, 1167, 4216, 1125, 14583, 1197, 5031, 1300, 5613, 19085, 5373, 1833, 1366, 8732, 1565, 1430, 5874, 1204, 2394, 181, 2289, 1571, 7219, 1120, 1485, 1257, 2069, 29205, 2069, 23297, 1346, 488, 124, 132, 128, 131, 1720, 19537, 1167, 23445, 1313, 5613, 19085, 1227, 8030, 1167, 1227, 4779, 1257, 27283, 4996, 176, 1323, 11402, 176, 6298, 1496, 488, 124, 132, 129, 125, 8055, 2176, 1125, 13400, 5373, 1833, 1366, 1227, 13728, 119, 3458, 22976, 1256, 1318, 3643, 23813, 1125, 1158, 25571, 488, 124, 132, 129, 129, 6725, 30609, 29624, 1125, 5613, 19085, 10600, 1129, 1164, 1105, 1366, 1167, 13676, 1227, 2271, 31549, 6298, 1257, 3458, 30964, 1300, 4399, 3917, 243, 9551, 488, 124, 132, 129, 132, 6997, 2942, 1300, 13400, 24644, 1186, 20288, 1167, 1186, 8200, 25529, 1317, 17990, 24373, 4780, 488, 124, 132, 130, 124, 8055, 2176, 2519, 5601, 1186, 2315, 1125, 19889, 1125, 24732, 2589, 5945, 1257, 9590, 3202, 2137, 1167, 13261, 16137, 2391, 1227, 9209, 16003, 178, 1234, 1187, 1141, 1175, 124, 126, 127, 124, 120, 124, 126, 127, 127, 1496, 488, 124, 132, 130, 125, 24357, 7568, 1167, 6321, 1125, 5613, 19085, 14224, 11150, 1317, 17990, 24373, 4780, 16801, 7747, 2908, 1109, 3050, 7569, 1575, 7697, 4436, 1125, 1548, 6930, 1251, 8200, 2952, 172, 1186, 1158, 5826, 1217, 10239, 1257, 27283, 3463, 176, 1323, 11402, 176, 6298, 1496, 488, 124, 132, 130, 132, 2608, 14083, 1125, 1158, 2315, 1167, 1125, 1158, 8200, 25529, 1227, 2271, 4996, 176, 19565, 488, 124, 132, 131, 125, 2359, 2126, 4080, 21645, 1376, 186, 6293, 248, 12603, 1125, 1350, 27781, 2036, 3559, 26725, 12322, 2993, 1369, 1167, 1318, 6392, 1902, 1317, 4319, 1227, 2271, 31549, 19565, 17028, 29701, 2888, 1343, 1285, 488, 124, 132, 131, 125, 5526, 15051, 1167, 3385, 1313, 1207, 3293, 1125, 1158, 31498, 1125, 8200, 1401, 3476, 16801, 17028, 29701, 1863, 3170, 1285, 488, 124, 132, 131, 125, 119, 488, 126, 128, 125, 5840, 7216, 9400, 2363, 2606, 1352, 1993, 5700, 1257, 16613, 1460, 1125, 6714, 1202, 4782, 18096, 252, 2086, 23366, 1125, 1233, 2497, 185, 1810, 488, 124, 126, 130, 131, 120, 124, 127, 128, 126, 119, 488, 126, 130, 126, 28890, 488, 125, 123, 123, 124, 119, 16801, 8346, 18932, 1285, 1763, 1267, 15004, 2523, 124, 132, 130, 131, 1257, 3248, 1545, 1356, 1118, 7821, 106, 124, 132, 132, 130, 1257, 3699, 1293, 1334, 4688, 4853, 1132, 3134, 2985, 1844, 28067, 12886, 1120, 12488, 172, 1125, 15714, 1125, 29485, 1217, 6000, 24890, 7364, 5825, 22195, 7569, 1354, 2720, 1227, 23841, 6298, 1720, 3931, 1833, 2038, 2720, 3147, 1206, 12397, 1188, 15714, 1125, 19104, 1489, 24666, 1128, 1227, 3248, 1545, 1356, 1118, 7821, 1763, 1237, 1836, 12886, 1120, 12488, 172, 1125, 15714, 1125, 29485, 1217, 6000, 8156, 1186, 2829, 488, 124, 132, 124, 126, 9317, 1186, 2921, 488, 125, 123, 124, 123, 9317, 1188, 488, 132, 130, 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, 2439, 1573, 1322, 1575, 1173, 2683, 1277, 250, 5877, 7243, 5950, 17345, 7423, 12210, 7216, 2986, 4419, 1303, 1539, 1333, 19480, 1651, 5363, 172, 1170, 488, 125, 127, 2822, 488, 124, 132, 132, 123, 1188, 1321, 1651, 191, 1245, 1196, 116, 1299, 1318, 10809, 1632, 1125, 3035, 4279, 27389, 15393, 121, 3450, 4946, 488, 124, 184, 131, 131, 1167, 10809, 1317, 8536, 1125, 2630, 1154, 6204, 3450, 3983, 1439, 488, 124, 131, 124, 5266, 190, 1186, 4924, 1125, 14512, 14231, 1194, 2809, 3913, 12662, 26361, 23435, 15565, 5277, 106, 5623, 8276, 14610, 488, 1424, 16519, 8765, 1257, 488, 125, 123, 124, 128, 1155, 26389, 22572, 106, 1352, 1262, 19495, 1257, 488, 125, 123, 124, 126, 1388, 2809, 1287, 2523, 11609, 1125, 14512, 1424, 1352, 1262, 19495, 1257, 488, 125, 123, 124, 128, 119, 488, 125, 123, 124, 130, 1155, 4444, 8765, 1257, 488, 125, 123, 124, 127, 1155, 11609, 1125, 1158, 6703, 161, 2073, 1262, 19495, 1257, 488, 125, 123, 124, 129, 1155, 7673, 174, 6494, 1125, 14512, 106, 4444, 8765, 1257, 488, 125, 123, 124, 130, 119, 488, 125, 123, 124, 131, 1155, 26389, 1125, 14512, 106, 4444, 8765, 1257, 488, 125, 123, 124, 131, 11488, 1167, 16828, 14809, 106, 2605, 15565, 1125, 14512, 1125, 3035, 4279, 27389, 23521, 7364, 5825, 1424, 1424, 488, 6218, 9224, 1300, 1170, 1865, 1125, 1158, 1252, 4996, 141, 106, 488, 7649, 9229, 1125, 1594, 5878, 1194, 149, 15167, 1632, 15393, 1125, 3035, 4279, 27389, 8156, 1186, 2822, 488, 124, 132, 132, 123, 2278, 15167, 1632, 1125, 3035, 4279, 27389, 1571, 10765, 19411, 20862, 1125, 488, 125, 123, 124, 129, 32001, 1424, 32000, 20036, 4401, 1573, 1322, 1575, 1173, 2683, 1277, 250, 5877, 7243, 5950, 17345, 7423, 12210, 7216, 2986, 4419, 1303, 1539, 1333, 19480, 1651, 5363, 172, 1170, 488, 125, 127, 2822, 488, 124, 132, 132, 123, 1188, 1321, 1651, 191, 1245, 1196, 116, 1299, 1318, 10809, 1632, 1125, 3035, 4279, 27389, 15393, 121, 3450, 4946, 488, 124, 184, 131, 131, 1167, 10809, 1317, 8536, 1125, 2630, 1154, 6204, 3450, 3983, 1439, 488, 124, 131, 124, 5266, 190, 1186, 4924, 1125, 14512, 14231, 1194, 2809, 3913, 12662, 26361, 23435, 15565, 5277, 106, 5623, 8276, 14610, 488, 1424, 16519, 8765, 1257, 488, 125, 123, 124, 128, 1155, 26389, 22572, 106, 1352, 1262, 19495, 1257, 488, 125, 123, 124, 126, 1388, 2809, 1287, 2523, 11609, 1125, 14512, 1424, 1352, 1262, 19495, 1257, 488, 125, 123, 124, 128, 119, 488, 125, 123, 124, 130, 1155, 4444, 8765, 1257, 488, 125, 123, 124, 127, 1155, 11609, 1125, 1158, 6703, 161, 2073, 1262, 19495, 1257, 488, 125, 123, 124, 129, 1155, 7673, 174, 6494, 1125, 14512, 106, 4444, 8765, 1257, 488, 125, 123, 124, 130, 119, 488, 125, 123, 124, 131, 1155, 26389, 1125, 14512, 106, 4444, 8765, 1257, 488, 125, 123, 124, 131, 11488, 1167, 16828, 14809, 106, 2605, 15565, 1125, 14512, 1125, 3035, 4279, 27389, 23521, 7364, 5825, 1424, 1424, 488, 6218, 9224, 1300, 1170, 1865, 1125, 1158, 1252, 4996, 141, 106, 488, 7649, 9229, 1125, 1594, 5878, 1194, 149, 15167, 1632, 15393, 1125, 3035, 4279, 27389, 8156, 1186, 2822, 488, 124, 132, 132, 123, 2278, 15167, 1632, 1125, 3035, 4279, 27389, 1571, 10765, 19411, 20862, 1125, 488, 125, 123, 124, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 4401, 1573, 1322, 1575, 1173, 2683, 1277, 250, 5877, 7243, 5950, 17345, 7423, 12210, 7216, 2986, 4419, 1303, 1539, 1333, 19480, 1651, 5363, 172, 1170, 488, 125, 127, 2822, 488, 124, 132, 132, 123, 1188, 1321, 1651, 191, 1245, 1196, 116, 1299, 1318, 10809, 1632, 1125, 3035, 4279, 27389, 15393, 121, 3450, 4946, 488, 124, 184, 131, 131, 1167, 10809, 1317, 8536, 1125, 2630, 1154, 6204, 3450, 3983, 1439, 488, 124, 131, 124, 5266, 190, 1186, 4924, 1125, 14512, 14231, 1194, 2809, 3913, 12662, 26361, 23435, 15565, 5277, 106, 5623, 8276, 14610, 488, 1424, 16519, 8765, 1257, 488, 125, 123, 124, 128, 1155, 26389, 22572, 106, 1352, 1262, 19495, 1257, 488, 125, 123, 124, 126, 1388, 2809, 1287, 2523, 11609, 1125, 14512, 1424, 1352, 1262, 19495, 1257, 488, 125, 123, 124, 128, 119, 488, 125, 123, 124, 130, 1155, 4444, 8765, 1257, 488, 125, 123, 124, 127, 1155, 11609, 1125, 1158, 6703, 161, 2073, 1262, 19495, 1257, 488, 125, 123, 124, 129, 1155, 7673, 174, 6494, 1125, 14512, 106, 4444, 8765, 1257, 488, 125, 123, 124, 130, 119, 488, 125, 123, 124, 131, 1155, 26389, 1125, 14512, 106, 4444, 8765, 1257, 488, 125, 123, 124, 131, 11488, 1167, 16828, 14809, 106, 2605, 15565, 1125, 14512, 1125, 3035, 4279, 27389, 23521, 7364, 5825, 1424, 1424, 488, 6218, 9224, 1300, 1170, 1865, 1125, 1158, 1252, 4996, 141, 106, 488, 7649, 9229, 1125, 1594, 5878, 1194, 149, 15167, 1632, 15393, 1125, 3035, 4279, 27389, 8156, 1186, 2822, 488, 124, 132, 132, 123, 2278, 15167, 1632, 1125, 3035, 4279, 27389, 1571, 10765, 19411, 20862, 1125, 488, 125, 123, 124, 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, 12616, 3543, 1125, 8332, 1237, 7615, 1362, 6745, 12313, 5522, 3100, 1299, 1318, 3543, 5373, 1833, 1366, 1125, 11188, 119, 10019, 1313, 6389, 178, 1150, 12047, 186, 7745, 6988, 2359, 1874, 1125, 12191, 1157, 12313, 15440, 109, 1299, 20751, 244, 1125, 1158, 7092, 1142, 1460, 3281, 3699, 1125, 14772, 189, 3100, 1357, 1158, 5315, 1740, 1370, 1313, 1158, 4927, 1227, 7092, 17990, 4379, 17659, 3450, 8718, 1188, 1823, 17874, 2290, 1170, 1874, 1125, 1235, 3521, 1112, 2172, 8332, 1237, 1378, 109, 7216, 5169, 1125, 1158, 7751, 1313, 1158, 6233, 2519, 16360, 8708, 1307, 1303, 116, 7670, 1188, 3862, 1227, 11402, 176, 19565, 3817, 2399, 1835, 1186, 16389, 1197, 11520, 1125, 1158, 4446, 8605, 2100, 1125, 5421, 3948, 5245, 20481, 2895, 3543, 14857, 3247, 2519, 15147, 1125, 1158, 8830, 2818, 8605, 2100, 1167, 1299, 4012, 1303, 1125, 1158, 1622, 1227, 2271, 3463, 176, 6298, 121, 3450, 23951, 2743, 1318, 10240, 10100, 2009, 1175, 12471, 488, 125, 128, 13061, 116, 1167, 1594, 8142, 1299, 18891, 1138, 2114, 1186, 3257, 1123, 1125, 20400, 1125, 2797, 12333, 1125, 19006, 1167, 10336, 1170, 30216, 9871, 1125, 1113, 1554, 1557, 23958, 1357, 1282, 1129, 1118, 2944, 28822, 180, 1125, 2167, 6026, 13841, 29227, 10376, 1915, 27048, 15244, 1207, 26712, 11852, 1475, 1203, 5291, 1469, 1197, 20767, 1112, 1525, 1125, 1557, 1829, 119, 1300, 14086, 1234, 1125, 6976, 1400, 8644, 1186, 1138, 3415, 121, 4511, 1282, 5668, 3603, 1158, 3543, 3031, 2445, 6428, 1303, 2335, 7144, 1125, 21019, 1357, 1110, 10125, 13288, 8246, 4353, 1723, 1299, 2743, 11559, 1313, 1207, 10982, 1125, 1158, 10255, 1573, 186, 2068, 1224, 1265, 14741, 2086, 1227, 11402, 25525, 6298, 9663, 13449, 1763, 27995, 172, 9428, 6295, 2086, 30554, 1167, 4971, 1197, 14855, 1125, 9625, 1125, 1158, 8830, 2818, 11825, 2100, 1835, 1170, 2271, 176, 1167, 1170, 11402, 25525, 19565, 11188, 119, 488, 125, 123, 123, 128, 2911, 180, 1632, 14921, 9193, 23744, 17618, 1643, 8830, 2288, 172, 12047, 172, 1151, 8640, 5373, 1833, 1366, 1167, 11990, 1175, 4299, 6657, 1215, 31744, 172, 1539, 3282, 1655, 1167, 20652, 11180, 1125, 1158, 8411, 1336, 1496, 7529, 4377, 488, 124, 132, 130, 132, 120, 124, 132, 131, 123, 7364, 5825, 1853, 1627, 1125, 11188, 12498, 1129, 1237, 1378, 10541, 11771, 10015, 1227, 17990, 24373, 1315, 109, 32001, 1424, 32000, 20036, 2895, 3543, 1125, 8332, 1237, 7615, 1362, 6745, 12313, 5522, 3100, 1299, 1318, 3543, 5373, 1833, 1366, 1125, 11188, 119, 10019, 1313, 6389, 178, 1150, 12047, 186, 7745, 6988, 2359, 1874, 1125, 12191, 1157, 12313, 15440, 109, 1299, 20751, 244, 1125, 1158, 7092, 1142, 1460, 3281, 3699, 1125, 14772, 189, 3100, 1357, 1158, 5315, 1740, 1370, 1313, 1158, 4927, 1227, 7092, 17990, 4379, 17659, 3450, 8718, 1188, 1823, 17874, 2290, 1170, 1874, 1125, 1235, 3521, 1112, 2172, 8332, 1237, 1378, 109, 7216, 5169, 1125, 1158, 7751, 1313, 1158, 6233, 2519, 16360, 8708, 1307, 1303, 116, 7670, 1188, 3862, 1227, 11402, 176, 19565, 3817, 2399, 1835, 1186, 16389, 1197, 11520, 1125, 1158, 4446, 8605, 2100, 1125, 5421, 3948, 5245, 20481, 2895, 3543, 14857, 3247, 2519, 15147, 1125, 1158, 8830, 2818, 8605, 2100, 1167, 1299, 4012, 1303, 1125, 1158, 1622, 1227, 2271, 3463, 176, 6298, 121, 3450, 23951, 2743, 1318, 10240, 10100, 2009, 1175, 12471, 488, 125, 128, 13061, 116, 1167, 1594, 8142, 1299, 18891, 1138, 2114, 1186, 3257, 1123, 1125, 20400, 1125, 2797, 12333, 1125, 19006, 1167, 10336, 1170, 30216, 9871, 1125, 1113, 1554, 1557, 23958, 1357, 1282, 1129, 1118, 2944, 28822, 180, 1125, 2167, 6026, 13841, 29227, 10376, 1915, 27048, 15244, 1207, 26712, 11852, 1475, 1203, 5291, 1469, 1197, 20767, 1112, 1525, 1125, 1557, 1829, 119, 1300, 14086, 1234, 1125, 6976, 1400, 8644, 1186, 1138, 3415, 121, 4511, 1282, 5668, 3603, 1158, 3543, 3031, 2445, 6428, 1303, 2335, 7144, 1125, 21019, 1357, 1110, 10125, 13288, 8246, 4353, 1723, 1299, 2743, 11559, 1313, 1207, 10982, 1125, 1158, 10255, 1573, 186, 2068, 1224, 1265, 14741, 2086, 1227, 11402, 25525, 6298, 9663, 13449, 1763, 27995, 172, 9428, 6295, 2086, 30554, 1167, 4971, 1197, 14855, 1125, 9625, 1125, 1158, 8830, 2818, 11825, 2100, 1835, 1170, 2271, 176, 1167, 1170, 11402, 25525, 19565, 11188, 119, 488, 125, 123, 123, 128, 2911, 180, 1632, 14921, 9193, 23744, 17618, 1643, 8830, 2288, 172, 12047, 172, 1151, 8640, 5373, 1833, 1366, 1167, 11990, 1175, 4299, 6657, 1215, 31744, 172, 1539, 3282, 1655, 1167, 20652, 11180, 1125, 1158, 8411, 1336, 1496, 7529, 4377, 488, 124, 132, 130, 132, 120, 124, 132, 131, 123, 7364, 5825, 1853, 1627, 1125, 11188, 12498, 1129, 1237, 1378, 10541, 11771, 10015, 1227, 17990, 24373, 1315, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 8332, 1237, 7615, 1362, 6745, 12313, 5522, 3100, 1299, 1318, 3543, 5373, 1833, 1366, 1125, 11188, 119, 10019, 1313, 6389, 178, 1150, 12047, 186, 7745, 6988, 2359, 1874, 1125, 12191, 1157, 12313, 15440, 109, 1299, 20751, 244, 1125, 1158, 7092, 1142, 1460, 3281, 3699, 1125, 14772, 189, 3100, 1357, 1158, 5315, 1740, 1370, 1313, 1158, 4927, 1227, 7092, 17990, 4379, 17659, 3450, 8718, 1188, 1823, 17874, 2290, 1170, 1874, 1125, 1235, 3521, 1112, 2172, 8332, 1237, 1378, 109, 7216, 5169, 1125, 1158, 7751, 1313, 1158, 6233, 2519, 16360, 8708, 1307, 1303, 116, 7670, 1188, 3862, 1227, 11402, 176, 19565, 3817, 2399, 1835, 1186, 16389, 1197, 11520, 1125, 1158, 4446, 8605, 2100, 1125, 5421, 3948, 5245, 20481, 2895, 3543, 14857, 3247, 2519, 15147, 1125, 1158, 8830, 2818, 8605, 2100, 1167, 1299, 4012, 1303, 1125, 1158, 1622, 1227, 2271, 3463, 176, 6298, 121, 3450, 23951, 2743, 1318, 10240, 10100, 2009, 1175, 12471, 488, 125, 128, 13061, 116, 1167, 1594, 8142, 1299, 18891, 1138, 2114, 1186, 3257, 1123, 1125, 20400, 1125, 2797, 12333, 1125, 19006, 1167, 10336, 1170, 30216, 9871, 1125, 1113, 1554, 1557, 23958, 1357, 1282, 1129, 1118, 2944, 28822, 180, 1125, 2167, 6026, 13841, 29227, 10376, 1915, 27048, 15244, 1207, 26712, 11852, 1475, 1203, 5291, 1469, 1197, 20767, 1112, 1525, 1125, 1557, 1829, 119, 1300, 14086, 1234, 1125, 6976, 1400, 8644, 1186, 1138, 3415, 121, 4511, 1282, 5668, 3603, 1158, 3543, 3031, 2445, 6428, 1303, 2335, 7144, 1125, 21019, 1357, 1110, 10125, 13288, 8246, 4353, 1723, 1299, 2743, 11559, 1313, 1207, 10982, 1125, 1158, 10255, 1573, 186, 2068, 1224, 1265, 14741, 2086, 1227, 11402, 25525, 6298, 9663, 13449, 1763, 27995, 172, 9428, 6295, 2086, 30554, 1167, 4971, 1197, 14855, 1125, 9625, 1125, 1158, 8830, 2818, 11825, 2100, 1835, 1170, 2271, 176, 1167, 1170, 11402, 25525, 19565, 11188, 119, 488, 125, 123, 123, 128, 2911, 180, 1632, 14921, 9193, 23744, 17618, 1643, 8830, 2288, 172, 12047, 172, 1151, 8640, 5373, 1833, 1366, 1167, 11990, 1175, 4299, 6657, 1215, 31744, 172, 1539, 3282, 1655, 1167, 20652, 11180, 1125, 1158, 8411, 1336, 1496, 7529, 4377, 488, 124, 132, 130, 132, 120, 124, 132, 131, 123, 7364, 5825, 1853, 1627, 1125, 11188, 12498, 1129, 1237, 1378, 10541, 11771, 10015, 1227, 17990, 24373, 1315, 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, 10791, 1204, 161, 1222, 2610, 1180, 2708, 1180, 1299, 1189, 27214, 1188, 1931, 9715, 1125, 8547, 4592, 13826, 1186, 488, 124, 132, 124, 127, 1571, 13584, 1201, 2482, 1715, 6639, 2460, 1461, 28789, 1171, 1222, 1857, 1222, 1652, 18349, 1762, 1357, 5178, 1108, 488, 125, 123, 124, 123, 2985, 1170, 1408, 7271, 2743, 1186, 2625, 6957, 6982, 2782, 18327, 6103, 2121, 10666, 1125, 1116, 1700, 2086, 2648, 1125, 27214, 1125, 1931, 9715, 1167, 8449, 1125, 16795, 2164, 3604, 2009, 3672, 5639, 1125, 1859, 1527, 3233, 8753, 1318, 3247, 2134, 18836, 17046, 1374, 1186, 6105, 1105, 12133, 31070, 3285, 1197, 15223, 1527, 6230, 3945, 7111, 13348, 16814, 5645, 21367, 16814, 11825, 1810, 1204, 161, 6433, 172, 24477, 1204, 161, 1222, 2610, 1180, 1167, 8449, 1204, 161, 1222, 2610, 1180, 2708, 1180, 20481, 15624, 16814, 5645, 3382, 3031, 1189, 27214, 1116, 21088, 1188, 25984, 4021, 244, 1170, 1939, 6280, 4971, 1110, 4795, 3601, 1186, 488, 124, 132, 124, 127, 1571, 13584, 1201, 2482, 1715, 6639, 2460, 1461, 28789, 1171, 1222, 1857, 1222, 1652, 10817, 1125, 2482, 1715, 6639, 1167, 6230, 5503, 1303, 1158, 2076, 1894, 3798, 1768, 2985, 3902, 1186, 2424, 1158, 2076, 5910, 1256, 1158, 10651, 13900, 1204, 1390, 1696, 4357, 1174, 10505, 18349, 2305, 3767, 3285, 1125, 1158, 22925, 12507, 27213, 1527, 2985, 1338, 9408, 6968, 1215, 1271, 3488, 27250, 3832, 488, 124, 132, 127, 131, 119, 1527, 2985, 21577, 1215, 1158, 10651, 3494, 1174, 244, 2794, 1165, 1575, 13363, 27126, 6284, 29083, 2497, 8660, 1167, 1971, 1343, 1170, 11825, 2036, 1768, 2985, 8551, 1117, 1186, 27214, 1188, 1931, 9715, 1469, 1197, 7078, 2252, 1256, 488, 132, 123, 1167, 1197, 1106, 1249, 12959, 1256, 488, 124, 129, 123, 9906, 3832, 488, 124, 132, 128, 125, 119, 1527, 2985, 14946, 1215, 1158, 10651, 25339, 25965, 9282, 1780, 1371, 1167, 1971, 1343, 1170, 6433, 172, 9207, 1643, 2076, 13407, 1527, 2985, 6033, 244, 1186, 27214, 1188, 10253, 121, 1653, 488, 124, 132, 128, 132, 119, 1170, 6433, 172, 1165, 2985, 8551, 1117, 1186, 27214, 1125, 8308, 1774, 1167, 3626, 8582, 11129, 1186, 26617, 1303, 8370, 488, 124, 132, 130, 130, 119, 19422, 20020, 1293, 2732, 1233, 262, 2021, 16376, 24625, 16900, 1867, 10222, 9337, 1256, 2183, 15198, 6484, 9978, 9408, 1227, 1204, 161, 1222, 2610, 1180, 1167, 1170, 2674, 1137, 1724, 1222, 2610, 1180, 1357, 1858, 1797, 1256, 13041, 1419, 5601, 11097, 4671, 2857, 27425, 18195, 15974, 1215, 9605, 6760, 194, 1657, 3762, 1440, 3631, 6315, 1125, 16795, 1167, 2539, 21757, 2164, 3604, 7352, 1469, 1189, 6428, 1272, 1125, 6840, 5291, 1527, 3626, 8582, 6365, 1227, 12630, 1125, 2515, 1186, 2515, 121, 1643, 20898, 5161, 1357, 7457, 1913, 13329, 1197, 1408, 15706, 1300, 1189, 27334, 7011, 17758, 1370, 3747, 1197, 9337, 14224, 13173, 1167, 1300, 1170, 1270, 18465, 22270, 1548, 20901, 6484, 1594, 4755, 3543, 1227, 2854, 1186, 488, 125, 123, 123, 132, 1469, 1189, 2627, 1124, 1232, 1160, 11193, 1186, 488, 125, 123, 124, 123, 1188, 4262, 1197, 5028, 8267, 1430, 29504, 2235, 121, 9059, 9758, 1527, 3851, 1178, 1309, 1283, 1528, 1701, 1167, 19320, 1250, 5031, 6096, 6238, 1256, 1309, 1170, 27214, 10633, 11826, 1594, 2424, 6952, 1594, 2627, 1124, 1232, 1160, 8155, 20901, 2985, 3042, 9830, 1568, 1227, 2424, 4796, 1158, 1622, 488, 125, 123, 123, 132, 121, 1548, 488, 125, 131, 3201, 488, 125, 123, 124, 123, 1170, 20901, 1110, 1913, 19756, 1188, 1594, 3631, 7754, 3693, 15095, 1173, 2554, 119, 9503, 1167, 8328, 4610, 1125, 1233, 1493, 153, 1992, 24446, 5940, 1357, 9342, 1170, 21191, 121, 1548, 27214, 1299, 2674, 23726, 1204, 161, 1222, 2610, 1180, 2708, 8318, 1653, 2875, 488, 125, 123, 124, 123, 119, 1527, 1299, 1878, 1121, 4568, 1188, 16604, 1174, 1186, 6105, 1105, 12133, 1256, 1823, 28006, 244, 1313, 1170, 1663, 1125, 1982, 3247, 2134, 18836, 17046, 1374, 1188, 488, 125, 128, 5743, 1125, 10609, 1300, 28723, 1125, 1233, 1343, 1119, 24890, 2093, 2883, 2460, 7164, 5940, 1175, 125, 123, 123, 125, 120, 125, 123, 123, 127, 25199, 11469, 1161, 1110, 1814, 1460, 2460, 1461, 1300, 6956, 2117, 17722, 2610, 8318, 2601, 2413, 161, 6433, 172, 1165, 1300, 6956, 1611, 9714, 1105, 9773, 24529, 4849, 9994, 2624, 5825, 23178, 1286, 9229, 1227, 1222, 2610, 1180, 106, 2883, 2460, 7164, 5940, 4713, 1137, 1125, 20901, 2056, 13974, 1188, 1931, 9715, 2056, 13974, 17034, 1186, 488, 124, 132, 124, 127, 1875, 1342, 1229, 13826, 1188, 2482, 1715, 6639, 9116, 1187, 2525, 1214, 116, 32001, 1424, 32000, 20036, 2359, 1204, 161, 1222, 2610, 1180, 2708, 1180, 1299, 1189, 27214, 1188, 1931, 9715, 1125, 8547, 4592, 13826, 1186, 488, 124, 132, 124, 127, 1571, 13584, 1201, 2482, 1715, 6639, 2460, 1461, 28789, 1171, 1222, 1857, 1222, 1652, 18349, 1762, 1357, 5178, 1108, 488, 125, 123, 124, 123, 2985, 1170, 1408, 7271, 2743, 1186, 2625, 6957, 6982, 2782, 18327, 6103, 2121, 10666, 1125, 1116, 1700, 2086, 2648, 1125, 27214, 1125, 1931, 9715, 1167, 8449, 1125, 16795, 2164, 3604, 2009, 3672, 5639, 1125, 1859, 1527, 3233, 8753, 1318, 3247, 2134, 18836, 17046, 1374, 1186, 6105, 1105, 12133, 31070, 3285, 1197, 15223, 1527, 6230, 3945, 7111, 13348, 16814, 5645, 21367, 16814, 11825, 1810, 1204, 161, 6433, 172, 24477, 1204, 161, 1222, 2610, 1180, 1167, 8449, 1204, 161, 1222, 2610, 1180, 2708, 1180, 20481, 15624, 16814, 5645, 3382, 3031, 1189, 27214, 1116, 21088, 1188, 25984, 4021, 244, 1170, 1939, 6280, 4971, 1110, 4795, 3601, 1186, 488, 124, 132, 124, 127, 1571, 13584, 1201, 2482, 1715, 6639, 2460, 1461, 28789, 1171, 1222, 1857, 1222, 1652, 10817, 1125, 2482, 1715, 6639, 1167, 6230, 5503, 1303, 1158, 2076, 1894, 3798, 1768, 2985, 3902, 1186, 2424, 1158, 2076, 5910, 1256, 1158, 10651, 13900, 1204, 1390, 1696, 4357, 1174, 10505, 18349, 2305, 3767, 3285, 1125, 1158, 22925, 12507, 27213, 1527, 2985, 1338, 9408, 6968, 1215, 1271, 3488, 27250, 3832, 488, 124, 132, 127, 131, 119, 1527, 2985, 21577, 1215, 1158, 10651, 3494, 1174, 244, 2794, 1165, 1575, 13363, 27126, 6284, 29083, 2497, 8660, 1167, 1971, 1343, 1170, 11825, 2036, 1768, 2985, 8551, 1117, 1186, 27214, 1188, 1931, 9715, 1469, 1197, 7078, 2252, 1256, 488, 132, 123, 1167, 1197, 1106, 1249, 12959, 1256, 488, 124, 129, 123, 9906, 3832, 488, 124, 132, 128, 125, 119, 1527, 2985, 14946, 1215, 1158, 10651, 25339, 25965, 9282, 1780, 1371, 1167, 1971, 1343, 1170, 6433, 172, 9207, 1643, 2076, 13407, 1527, 2985, 6033, 244, 1186, 27214, 1188, 10253, 121, 1653, 488, 124, 132, 128, 132, 119, 1170, 6433, 172, 1165, 2985, 8551, 1117, 1186, 27214, 1125, 8308, 1774, 1167, 3626, 8582, 11129, 1186, 26617, 1303, 8370, 488, 124, 132, 130, 130, 119, 19422, 20020, 1293, 2732, 1233, 262, 2021, 16376, 24625, 16900, 1867, 10222, 9337, 1256, 2183, 15198, 6484, 9978, 9408, 1227, 1204, 161, 1222, 2610, 1180, 1167, 1170, 2674, 1137, 1724, 1222, 2610, 1180, 1357, 1858, 1797, 1256, 13041, 1419, 5601, 11097, 4671, 2857, 27425, 18195, 15974, 1215, 9605, 6760, 194, 1657, 3762, 1440, 3631, 6315, 1125, 16795, 1167, 2539, 21757, 2164, 3604, 7352, 1469, 1189, 6428, 1272, 1125, 6840, 5291, 1527, 3626, 8582, 6365, 1227, 12630, 1125, 2515, 1186, 2515, 121, 1643, 20898, 5161, 1357, 7457, 1913, 13329, 1197, 1408, 15706, 1300, 1189, 27334, 7011, 17758, 1370, 3747, 1197, 9337, 14224, 13173, 1167, 1300, 1170, 1270, 18465, 22270, 1548, 20901, 6484, 1594, 4755, 3543, 1227, 2854, 1186, 488, 125, 123, 123, 132, 1469, 1189, 2627, 1124, 1232, 1160, 11193, 1186, 488, 125, 123, 124, 123, 1188, 4262, 1197, 5028, 8267, 1430, 29504, 2235, 121, 9059, 9758, 1527, 3851, 1178, 1309, 1283, 1528, 1701, 1167, 19320, 1250, 5031, 6096, 6238, 1256, 1309, 1170, 27214, 10633, 11826, 1594, 2424, 6952, 1594, 2627, 1124, 1232, 1160, 8155, 20901, 2985, 3042, 9830, 1568, 1227, 2424, 4796, 1158, 1622, 488, 125, 123, 123, 132, 121, 1548, 488, 125, 131, 3201, 488, 125, 123, 124, 123, 1170, 20901, 1110, 1913, 19756, 1188, 1594, 3631, 7754, 3693, 15095, 1173, 2554, 119, 9503, 1167, 8328, 4610, 1125, 1233, 1493, 153, 1992, 24446, 5940, 1357, 9342, 1170, 21191, 121, 1548, 27214, 1299, 2674, 23726, 1204, 161, 1222, 2610, 1180, 2708, 8318, 1653, 2875, 488, 125, 123, 124, 123, 119, 1527, 1299, 1878, 1121, 4568, 1188, 16604, 1174, 1186, 6105, 1105, 12133, 1256, 1823, 28006, 244, 1313, 1170, 1663, 1125, 1982, 3247, 2134, 18836, 17046, 1374, 1188, 488, 125, 128, 5743, 1125, 10609, 1300, 28723, 1125, 1233, 1343, 1119, 24890, 2093, 2883, 2460, 7164, 5940, 1175, 125, 123, 123, 125, 120, 125, 123, 123, 127, 25199, 11469, 1161, 1110, 1814, 1460, 2460, 1461, 1300, 6956, 2117, 17722, 2610, 8318, 2601, 2413, 161, 6433, 172, 1165, 1300, 6956, 1611, 9714, 1105, 9773, 24529, 4849, 9994, 2624, 5825, 23178, 1286, 9229, 1227, 1222, 2610, 1180, 106, 2883, 2460, 7164, 5940, 4713, 1137, 1125, 20901, 2056, 13974, 1188, 1931, 9715, 2056, 13974, 17034, 1186, 488, 124, 132, 124, 127, 1875, 1342, 1229, 13826, 1188, 2482, 1715, 6639, 9116, 1187, 2525, 1214, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1204, 161, 1222, 2610, 1180, 2708, 1180, 1299, 1189, 27214, 1188, 1931, 9715, 1125, 8547, 4592, 13826, 1186, 488, 124, 132, 124, 127, 1571, 13584, 1201, 2482, 1715, 6639, 2460, 1461, 28789, 1171, 1222, 1857, 1222, 1652, 18349, 1762, 1357, 5178, 1108, 488, 125, 123, 124, 123, 2985, 1170, 1408, 7271, 2743, 1186, 2625, 6957, 6982, 2782, 18327, 6103, 2121, 10666, 1125, 1116, 1700, 2086, 2648, 1125, 27214, 1125, 1931, 9715, 1167, 8449, 1125, 16795, 2164, 3604, 2009, 3672, 5639, 1125, 1859, 1527, 3233, 8753, 1318, 3247, 2134, 18836, 17046, 1374, 1186, 6105, 1105, 12133, 31070, 3285, 1197, 15223, 1527, 6230, 3945, 7111, 13348, 16814, 5645, 21367, 16814, 11825, 1810, 1204, 161, 6433, 172, 24477, 1204, 161, 1222, 2610, 1180, 1167, 8449, 1204, 161, 1222, 2610, 1180, 2708, 1180, 20481, 15624, 16814, 5645, 3382, 3031, 1189, 27214, 1116, 21088, 1188, 25984, 4021, 244, 1170, 1939, 6280, 4971, 1110, 4795, 3601, 1186, 488, 124, 132, 124, 127, 1571, 13584, 1201, 2482, 1715, 6639, 2460, 1461, 28789, 1171, 1222, 1857, 1222, 1652, 10817, 1125, 2482, 1715, 6639, 1167, 6230, 5503, 1303, 1158, 2076, 1894, 3798, 1768, 2985, 3902, 1186, 2424, 1158, 2076, 5910, 1256, 1158, 10651, 13900, 1204, 1390, 1696, 4357, 1174, 10505, 18349, 2305, 3767, 3285, 1125, 1158, 22925, 12507, 27213, 1527, 2985, 1338, 9408, 6968, 1215, 1271, 3488, 27250, 3832, 488, 124, 132, 127, 131, 119, 1527, 2985, 21577, 1215, 1158, 10651, 3494, 1174, 244, 2794, 1165, 1575, 13363, 27126, 6284, 29083, 2497, 8660, 1167, 1971, 1343, 1170, 11825, 2036, 1768, 2985, 8551, 1117, 1186, 27214, 1188, 1931, 9715, 1469, 1197, 7078, 2252, 1256, 488, 132, 123, 1167, 1197, 1106, 1249, 12959, 1256, 488, 124, 129, 123, 9906, 3832, 488, 124, 132, 128, 125, 119, 1527, 2985, 14946, 1215, 1158, 10651, 25339, 25965, 9282, 1780, 1371, 1167, 1971, 1343, 1170, 6433, 172, 9207, 1643, 2076, 13407, 1527, 2985, 6033, 244, 1186, 27214, 1188, 10253, 121, 1653, 488, 124, 132, 128, 132, 119, 1170, 6433, 172, 1165, 2985, 8551, 1117, 1186, 27214, 1125, 8308, 1774, 1167, 3626, 8582, 11129, 1186, 26617, 1303, 8370, 488, 124, 132, 130, 130, 119, 19422, 20020, 1293, 2732, 1233, 262, 2021, 16376, 24625, 16900, 1867, 10222, 9337, 1256, 2183, 15198, 6484, 9978, 9408, 1227, 1204, 161, 1222, 2610, 1180, 1167, 1170, 2674, 1137, 1724, 1222, 2610, 1180, 1357, 1858, 1797, 1256, 13041, 1419, 5601, 11097, 4671, 2857, 27425, 18195, 15974, 1215, 9605, 6760, 194, 1657, 3762, 1440, 3631, 6315, 1125, 16795, 1167, 2539, 21757, 2164, 3604, 7352, 1469, 1189, 6428, 1272, 1125, 6840, 5291, 1527, 3626, 8582, 6365, 1227, 12630, 1125, 2515, 1186, 2515, 121, 1643, 20898, 5161, 1357, 7457, 1913, 13329, 1197, 1408, 15706, 1300, 1189, 27334, 7011, 17758, 1370, 3747, 1197, 9337, 14224, 13173, 1167, 1300, 1170, 1270, 18465, 22270, 1548, 20901, 6484, 1594, 4755, 3543, 1227, 2854, 1186, 488, 125, 123, 123, 132, 1469, 1189, 2627, 1124, 1232, 1160, 11193, 1186, 488, 125, 123, 124, 123, 1188, 4262, 1197, 5028, 8267, 1430, 29504, 2235, 121, 9059, 9758, 1527, 3851, 1178, 1309, 1283, 1528, 1701, 1167, 19320, 1250, 5031, 6096, 6238, 1256, 1309, 1170, 27214, 10633, 11826, 1594, 2424, 6952, 1594, 2627, 1124, 1232, 1160, 8155, 20901, 2985, 3042, 9830, 1568, 1227, 2424, 4796, 1158, 1622, 488, 125, 123, 123, 132, 121, 1548, 488, 125, 131, 3201, 488, 125, 123, 124, 123, 1170, 20901, 1110, 1913, 19756, 1188, 1594, 3631, 7754, 3693, 15095, 1173, 2554, 119, 9503, 1167, 8328, 4610, 1125, 1233, 1493, 153, 1992, 24446, 5940, 1357, 9342, 1170, 21191, 121, 1548, 27214, 1299, 2674, 23726, 1204, 161, 1222, 2610, 1180, 2708, 8318, 1653, 2875, 488, 125, 123, 124, 123, 119, 1527, 1299, 1878, 1121, 4568, 1188, 16604, 1174, 1186, 6105, 1105, 12133, 1256, 1823, 28006, 244, 1313, 1170, 1663, 1125, 1982, 3247, 2134, 18836, 17046, 1374, 1188, 488, 125, 128, 5743, 1125, 10609, 1300, 28723, 1125, 1233, 1343, 1119, 24890, 2093, 2883, 2460, 7164, 5940, 1175, 125, 123, 123, 125, 120, 125, 123, 123, 127, 25199, 11469, 1161, 1110, 1814, 1460, 2460, 1461, 1300, 6956, 2117, 17722, 2610, 8318, 2601, 2413, 161, 6433, 172, 1165, 1300, 6956, 1611, 9714, 1105, 9773, 24529, 4849, 9994, 2624, 5825, 23178, 1286, 9229, 1227, 1222, 2610, 1180, 106, 2883, 2460, 7164, 5940, 4713, 1137, 1125, 20901, 2056, 13974, 1188, 1931, 9715, 2056, 13974, 17034, 1186, 488, 124, 132, 124, 127, 1875, 1342, 1229, 13826, 1188, 2482, 1715, 6639, 9116, 1187, 2525, 1214, 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, 3681, 6388, 12197, 1435, 2605, 1389, 193, 2357, 5252, 1170, 488, 125, 126, 2738, 488, 124, 131, 131, 123, 1313, 1170, 488, 124, 132, 176, 28077, 1125, 6721, 3837, 2585, 1527, 1299, 4541, 1170, 488, 130, 3012, 488, 124, 132, 130, 129, 1313, 1170, 488, 132, 176, 28077, 1125, 6721, 1299, 1189, 18123, 5427, 1110, 17526, 1334, 1960, 15173, 11080, 1929, 1125, 13834, 2035, 27969, 1253, 1614, 20028, 25886, 4096, 12323, 1378, 2605, 187, 6098, 12928, 16435, 1125, 12052, 10070, 9102, 18857, 1460, 1186, 488, 124, 132, 123, 125, 119, 1527, 7354, 3726, 1374, 1227, 6959, 4654, 1768, 1299, 10666, 7208, 244, 1313, 9508, 3149, 24404, 1186, 488, 124, 132, 123, 129, 119, 1167, 18764, 1594, 31331, 1125, 19366, 1125, 6884, 1105, 6772, 1186, 488, 124, 132, 123, 130, 119, 2648, 1125, 19366, 1125, 10452, 1364, 1186, 488, 124, 132, 123, 131, 121, 1653, 488, 124, 132, 123, 131, 119, 1527, 1299, 2969, 192, 25468, 1256, 11931, 1125, 6545, 1317, 13728, 1167, 7208, 244, 1317, 19391, 1125, 1539, 1132, 1298, 3046, 176, 1506, 3847, 1768, 18764, 1594, 31331, 1125, 19366, 1305, 180, 1793, 4419, 210, 488, 124, 129, 116, 1186, 488, 124, 132, 123, 132, 1300, 1170, 3151, 3260, 10826, 1325, 1990, 28692, 1188, 1271, 2569, 3798, 1768, 13300, 1186, 488, 124, 132, 124, 123, 1188, 1158, 11961, 12148, 2100, 13335, 9593, 1125, 1158, 6707, 2818, 121, 1768, 11080, 176, 3042, 1189, 21780, 1120, 1793, 8554, 14317, 1188, 1440, 3260, 1291, 3100, 31600, 1186, 488, 124, 132, 124, 124, 119, 1527, 14802, 1189, 5289, 1793, 1125, 12029, 1188, 1113, 25609, 3212, 14881, 2035, 27969, 2605, 1389, 193, 2357, 2914, 13509, 176, 1300, 1189, 3260, 10826, 19570, 14299, 1712, 1167, 1357, 1971, 18471, 8267, 1369, 1188, 6676, 1197, 31652, 10826, 1104, 18536, 2567, 7644, 18443, 1125, 14881, 2035, 27969, 1125, 16959, 2610, 14729, 4537, 1548, 488, 125, 130, 3012, 488, 124, 132, 124, 125, 119, 1527, 5759, 1207, 7790, 15277, 18536, 1601, 1234, 1188, 3984, 25869, 1653, 488, 124, 132, 124, 126, 119, 1170, 25468, 13075, 2605, 1389, 10248, 1299, 2969, 192, 6513, 1227, 4779, 1110, 17526, 1334, 1960, 1125, 3281, 3926, 7490, 2992, 114, 224, 10070, 1257, 8425, 9593, 1167, 11341, 3149, 24404, 1508, 22020, 1473, 2290, 1909, 3864, 14279, 1548, 9108, 1186, 6676, 1278, 1125, 1158, 1606, 5646, 1571, 31073, 1376, 1524, 7958, 114, 1551, 3858, 5820, 1227, 9930, 1836, 6867, 4586, 1199, 116, 1299, 11963, 4353, 2442, 1309, 1158, 2015, 5020, 8179, 7162, 4748, 23172, 1188, 7722, 1207, 29887, 8732, 23945, 12507, 10999, 1424, 2951, 1158, 18908, 1527, 1299, 10502, 1835, 488, 124, 132, 124, 127, 1167, 488, 124, 132, 124, 131, 1227, 5136, 1197, 5031, 1197, 6197, 3051, 1317, 5818, 1197, 6161, 1430, 1125, 6793, 9593, 1175, 1342, 1764, 1125, 4726, 1167, 6262, 30291, 116, 1167, 1835, 488, 124, 132, 124, 129, 1167, 488, 124, 132, 124, 131, 1188, 1158, 12801, 4403, 1125, 11341, 17526, 1334, 1960, 1175, 1342, 1764, 5443, 1576, 1768, 14164, 3534, 1186, 488, 124, 132, 124, 128, 1300, 1189, 31733, 14299, 1712, 1170, 3151, 4367, 1125, 1919, 1112, 2340, 1125, 11548, 1154, 1415, 1632, 16900, 4367, 2605, 1389, 10248, 26384, 1357, 2934, 5162, 1215, 1207, 7514, 1856, 1215, 1207, 2068, 1333, 1234, 3672, 1158, 16880, 12507, 5549, 5907, 1768, 5367, 7009, 1643, 21851, 8648, 1197, 13427, 1379, 1104, 1256, 14995, 1213, 1816, 4927, 1227, 4319, 1125, 6793, 180, 2392, 1548, 29369, 13075, 1165, 8297, 7658, 1594, 8595, 1188, 1158, 7372, 140, 2357, 9262, 2960, 1170, 25698, 1235, 2035, 1542, 1199, 109, 8370, 1373, 3840, 1250, 4613, 2904, 1312, 25268, 1299, 18494, 1313, 1170, 5773, 1197, 18123, 2892, 1125, 11341, 17526, 1334, 1960, 1188, 1561, 5735, 1186, 488, 124, 132, 125, 128, 12258, 7354, 31322, 1836, 4610, 1125, 9508, 17526, 1334, 1960, 1186, 488, 124, 132, 126, 128, 119, 1167, 10452, 1197, 21289, 3464, 2185, 10772, 1653, 488, 124, 132, 126, 129, 1167, 488, 124, 132, 126, 130, 119, 1527, 30816, 1318, 5601, 1300, 10905, 1232, 1160, 12431, 2765, 1167, 1527, 1299, 10502, 1283, 25953, 1158, 9293, 1197, 14573, 12431, 6542, 1186, 488, 124, 132, 126, 132, 8509, 1267, 1109, 7683, 1424, 2700, 2793, 1136, 1125, 1158, 13097, 1231, 6111, 12132, 1215, 7918, 1227, 488, 124, 123, 2584, 488, 124, 132, 126, 129, 30112, 1136, 1125, 14439, 1227, 25859, 1119, 2728, 21854, 15077, 1125, 28701, 1215, 7918, 1227, 488, 124, 124, 2921, 488, 124, 132, 125, 125, 28756, 1374, 1125, 1158, 13097, 1231, 6111, 12132, 1215, 7918, 1227, 488, 124, 127, 2822, 488, 124, 132, 124, 124, 1194, 282, 19760, 1424, 31560, 21851, 8648, 1197, 13427, 1379, 1104, 1709, 6749, 6880, 1119, 2035, 27969, 2605, 1389, 10248, 12662, 1157, 30686, 1187, 17994, 1424, 31560, 21851, 8648, 1197, 13427, 1379, 1104, 1709, 6749, 28870, 5825, 11934, 3077, 6014, 1424, 1424, 2605, 1389, 10248, 13075, 27283, 124, 132, 123, 123, 124, 1496, 1300, 1170, 1865, 1125, 1158, 16795, 1125, 12052, 10070, 9102, 18857, 1460, 1155, 2605, 1389, 193, 2357, 13075, 12197, 1435, 27283, 488, 124, 132, 123, 123, 2040, 488, 124, 131, 131, 123, 120, 124, 132, 130, 129, 1496, 1300, 1170, 1865, 1125, 1158, 16795, 1125, 12052, 10070, 9102, 18857, 1460, 11488, 1167, 5474, 29496, 1186, 2738, 488, 124, 131, 131, 123, 8156, 1313, 1170, 488, 124, 132, 176, 28077, 1125, 2801, 9317, 1186, 3012, 488, 124, 132, 130, 129, 9317, 1188, 488, 132, 128, 2165, 9317, 1313, 1170, 488, 132, 176, 28077, 1125, 2801, 1530, 6221, 1793, 2720, 1566, 4587, 1374, 1125, 8425, 9593, 5526, 183, 4567, 1125, 12547, 10070, 9102, 18857, 1460, 3229, 20073, 5427, 2720, 3229, 20073, 5427, 1110, 17526, 1334, 1960, 3229, 20073, 5427, 1110, 17526, 1334, 1960, 2720, 3229, 1672, 1929, 2720, 1720, 1142, 4192, 2720, 1227, 23841, 6298, 1720, 1142, 4192, 2720, 1125, 1158, 16880, 12507, 10999, 3198, 2793, 1136, 1125, 1158, 13097, 1231, 6111, 12132, 2969, 192, 1186, 488, 124, 132, 126, 129, 32001, 1424, 32000, 20036, 8472, 6388, 12197, 1435, 2605, 1389, 193, 2357, 5252, 1170, 488, 125, 126, 2738, 488, 124, 131, 131, 123, 1313, 1170, 488, 124, 132, 176, 28077, 1125, 6721, 3837, 2585, 1527, 1299, 4541, 1170, 488, 130, 3012, 488, 124, 132, 130, 129, 1313, 1170, 488, 132, 176, 28077, 1125, 6721, 1299, 1189, 18123, 5427, 1110, 17526, 1334, 1960, 15173, 11080, 1929, 1125, 13834, 2035, 27969, 1253, 1614, 20028, 25886, 4096, 12323, 1378, 2605, 187, 6098, 12928, 16435, 1125, 12052, 10070, 9102, 18857, 1460, 1186, 488, 124, 132, 123, 125, 119, 1527, 7354, 3726, 1374, 1227, 6959, 4654, 1768, 1299, 10666, 7208, 244, 1313, 9508, 3149, 24404, 1186, 488, 124, 132, 123, 129, 119, 1167, 18764, 1594, 31331, 1125, 19366, 1125, 6884, 1105, 6772, 1186, 488, 124, 132, 123, 130, 119, 2648, 1125, 19366, 1125, 10452, 1364, 1186, 488, 124, 132, 123, 131, 121, 1653, 488, 124, 132, 123, 131, 119, 1527, 1299, 2969, 192, 25468, 1256, 11931, 1125, 6545, 1317, 13728, 1167, 7208, 244, 1317, 19391, 1125, 1539, 1132, 1298, 3046, 176, 1506, 3847, 1768, 18764, 1594, 31331, 1125, 19366, 1305, 180, 1793, 4419, 210, 488, 124, 129, 116, 1186, 488, 124, 132, 123, 132, 1300, 1170, 3151, 3260, 10826, 1325, 1990, 28692, 1188, 1271, 2569, 3798, 1768, 13300, 1186, 488, 124, 132, 124, 123, 1188, 1158, 11961, 12148, 2100, 13335, 9593, 1125, 1158, 6707, 2818, 121, 1768, 11080, 176, 3042, 1189, 21780, 1120, 1793, 8554, 14317, 1188, 1440, 3260, 1291, 3100, 31600, 1186, 488, 124, 132, 124, 124, 119, 1527, 14802, 1189, 5289, 1793, 1125, 12029, 1188, 1113, 25609, 3212, 14881, 2035, 27969, 2605, 1389, 193, 2357, 2914, 13509, 176, 1300, 1189, 3260, 10826, 19570, 14299, 1712, 1167, 1357, 1971, 18471, 8267, 1369, 1188, 6676, 1197, 31652, 10826, 1104, 18536, 2567, 7644, 18443, 1125, 14881, 2035, 27969, 1125, 16959, 2610, 14729, 4537, 1548, 488, 125, 130, 3012, 488, 124, 132, 124, 125, 119, 1527, 5759, 1207, 7790, 15277, 18536, 1601, 1234, 1188, 3984, 25869, 1653, 488, 124, 132, 124, 126, 119, 1170, 25468, 13075, 2605, 1389, 10248, 1299, 2969, 192, 6513, 1227, 4779, 1110, 17526, 1334, 1960, 1125, 3281, 3926, 7490, 2992, 114, 224, 10070, 1257, 8425, 9593, 1167, 11341, 3149, 24404, 1508, 22020, 1473, 2290, 1909, 3864, 14279, 1548, 9108, 1186, 6676, 1278, 1125, 1158, 1606, 5646, 1571, 31073, 1376, 1524, 7958, 114, 1551, 3858, 5820, 1227, 9930, 1836, 6867, 4586, 1199, 116, 1299, 11963, 4353, 2442, 1309, 1158, 2015, 5020, 8179, 7162, 4748, 23172, 1188, 7722, 1207, 29887, 8732, 23945, 12507, 10999, 1424, 2951, 1158, 18908, 1527, 1299, 10502, 1835, 488, 124, 132, 124, 127, 1167, 488, 124, 132, 124, 131, 1227, 5136, 1197, 5031, 1197, 6197, 3051, 1317, 5818, 1197, 6161, 1430, 1125, 6793, 9593, 1175, 1342, 1764, 1125, 4726, 1167, 6262, 30291, 116, 1167, 1835, 488, 124, 132, 124, 129, 1167, 488, 124, 132, 124, 131, 1188, 1158, 12801, 4403, 1125, 11341, 17526, 1334, 1960, 1175, 1342, 1764, 5443, 1576, 1768, 14164, 3534, 1186, 488, 124, 132, 124, 128, 1300, 1189, 31733, 14299, 1712, 1170, 3151, 4367, 1125, 1919, 1112, 2340, 1125, 11548, 1154, 1415, 1632, 16900, 4367, 2605, 1389, 10248, 26384, 1357, 2934, 5162, 1215, 1207, 7514, 1856, 1215, 1207, 2068, 1333, 1234, 3672, 1158, 16880, 12507, 5549, 5907, 1768, 5367, 7009, 1643, 21851, 8648, 1197, 13427, 1379, 1104, 1256, 14995, 1213, 1816, 4927, 1227, 4319, 1125, 6793, 180, 2392, 1548, 29369, 13075, 1165, 8297, 7658, 1594, 8595, 1188, 1158, 7372, 140, 2357, 9262, 2960, 1170, 25698, 1235, 2035, 1542, 1199, 109, 8370, 1373, 3840, 1250, 4613, 2904, 1312, 25268, 1299, 18494, 1313, 1170, 5773, 1197, 18123, 2892, 1125, 11341, 17526, 1334, 1960, 1188, 1561, 5735, 1186, 488, 124, 132, 125, 128, 12258, 7354, 31322, 1836, 4610, 1125, 9508, 17526, 1334, 1960, 1186, 488, 124, 132, 126, 128, 119, 1167, 10452, 1197, 21289, 3464, 2185, 10772, 1653, 488, 124, 132, 126, 129, 1167, 488, 124, 132, 126, 130, 119, 1527, 30816, 1318, 5601, 1300, 10905, 1232, 1160, 12431, 2765, 1167, 1527, 1299, 10502, 1283, 25953, 1158, 9293, 1197, 14573, 12431, 6542, 1186, 488, 124, 132, 126, 132, 8509, 1267, 1109, 7683, 1424, 2700, 2793, 1136, 1125, 1158, 13097, 1231, 6111, 12132, 1215, 7918, 1227, 488, 124, 123, 2584, 488, 124, 132, 126, 129, 30112, 1136, 1125, 14439, 1227, 25859, 1119, 2728, 21854, 15077, 1125, 28701, 1215, 7918, 1227, 488, 124, 124, 2921, 488, 124, 132, 125, 125, 28756, 1374, 1125, 1158, 13097, 1231, 6111, 12132, 1215, 7918, 1227, 488, 124, 127, 2822, 488, 124, 132, 124, 124, 1194, 282, 19760, 1424, 31560, 21851, 8648, 1197, 13427, 1379, 1104, 1709, 6749, 6880, 1119, 2035, 27969, 2605, 1389, 10248, 12662, 1157, 30686, 1187, 17994, 1424, 31560, 21851, 8648, 1197, 13427, 1379, 1104, 1709, 6749, 28870, 5825, 11934, 3077, 6014, 1424, 1424, 2605, 1389, 10248, 13075, 27283, 124, 132, 123, 123, 124, 1496, 1300, 1170, 1865, 1125, 1158, 16795, 1125, 12052, 10070, 9102, 18857, 1460, 1155, 2605, 1389, 193, 2357, 13075, 12197, 1435, 27283, 488, 124, 132, 123, 123, 2040, 488, 124, 131, 131, 123, 120, 124, 132, 130, 129, 1496, 1300, 1170, 1865, 1125, 1158, 16795, 1125, 12052, 10070, 9102, 18857, 1460, 11488, 1167, 5474, 29496, 1186, 2738, 488, 124, 131, 131, 123, 8156, 1313, 1170, 488, 124, 132, 176, 28077, 1125, 2801, 9317, 1186, 3012, 488, 124, 132, 130, 129, 9317, 1188, 488, 132, 128, 2165, 9317, 1313, 1170, 488, 132, 176, 28077, 1125, 2801, 1530, 6221, 1793, 2720, 1566, 4587, 1374, 1125, 8425, 9593, 5526, 183, 4567, 1125, 12547, 10070, 9102, 18857, 1460, 3229, 20073, 5427, 2720, 3229, 20073, 5427, 1110, 17526, 1334, 1960, 3229, 20073, 5427, 1110, 17526, 1334, 1960, 2720, 3229, 1672, 1929, 2720, 1720, 1142, 4192, 2720, 1227, 23841, 6298, 1720, 1142, 4192, 2720, 1125, 1158, 16880, 12507, 10999, 3198, 2793, 1136, 1125, 1158, 13097, 1231, 6111, 12132, 2969, 192, 1186, 488, 124, 132, 126, 129, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 6388, 12197, 1435, 2605, 1389, 193, 2357, 5252, 1170, 488, 125, 126, 2738, 488, 124, 131, 131, 123, 1313, 1170, 488, 124, 132, 176, 28077, 1125, 6721, 3837, 2585, 1527, 1299, 4541, 1170, 488, 130, 3012, 488, 124, 132, 130, 129, 1313, 1170, 488, 132, 176, 28077, 1125, 6721, 1299, 1189, 18123, 5427, 1110, 17526, 1334, 1960, 15173, 11080, 1929, 1125, 13834, 2035, 27969, 1253, 1614, 20028, 25886, 4096, 12323, 1378, 2605, 187, 6098, 12928, 16435, 1125, 12052, 10070, 9102, 18857, 1460, 1186, 488, 124, 132, 123, 125, 119, 1527, 7354, 3726, 1374, 1227, 6959, 4654, 1768, 1299, 10666, 7208, 244, 1313, 9508, 3149, 24404, 1186, 488, 124, 132, 123, 129, 119, 1167, 18764, 1594, 31331, 1125, 19366, 1125, 6884, 1105, 6772, 1186, 488, 124, 132, 123, 130, 119, 2648, 1125, 19366, 1125, 10452, 1364, 1186, 488, 124, 132, 123, 131, 121, 1653, 488, 124, 132, 123, 131, 119, 1527, 1299, 2969, 192, 25468, 1256, 11931, 1125, 6545, 1317, 13728, 1167, 7208, 244, 1317, 19391, 1125, 1539, 1132, 1298, 3046, 176, 1506, 3847, 1768, 18764, 1594, 31331, 1125, 19366, 1305, 180, 1793, 4419, 210, 488, 124, 129, 116, 1186, 488, 124, 132, 123, 132, 1300, 1170, 3151, 3260, 10826, 1325, 1990, 28692, 1188, 1271, 2569, 3798, 1768, 13300, 1186, 488, 124, 132, 124, 123, 1188, 1158, 11961, 12148, 2100, 13335, 9593, 1125, 1158, 6707, 2818, 121, 1768, 11080, 176, 3042, 1189, 21780, 1120, 1793, 8554, 14317, 1188, 1440, 3260, 1291, 3100, 31600, 1186, 488, 124, 132, 124, 124, 119, 1527, 14802, 1189, 5289, 1793, 1125, 12029, 1188, 1113, 25609, 3212, 14881, 2035, 27969, 2605, 1389, 193, 2357, 2914, 13509, 176, 1300, 1189, 3260, 10826, 19570, 14299, 1712, 1167, 1357, 1971, 18471, 8267, 1369, 1188, 6676, 1197, 31652, 10826, 1104, 18536, 2567, 7644, 18443, 1125, 14881, 2035, 27969, 1125, 16959, 2610, 14729, 4537, 1548, 488, 125, 130, 3012, 488, 124, 132, 124, 125, 119, 1527, 5759, 1207, 7790, 15277, 18536, 1601, 1234, 1188, 3984, 25869, 1653, 488, 124, 132, 124, 126, 119, 1170, 25468, 13075, 2605, 1389, 10248, 1299, 2969, 192, 6513, 1227, 4779, 1110, 17526, 1334, 1960, 1125, 3281, 3926, 7490, 2992, 114, 224, 10070, 1257, 8425, 9593, 1167, 11341, 3149, 24404, 1508, 22020, 1473, 2290, 1909, 3864, 14279, 1548, 9108, 1186, 6676, 1278, 1125, 1158, 1606, 5646, 1571, 31073, 1376, 1524, 7958, 114, 1551, 3858, 5820, 1227, 9930, 1836, 6867, 4586, 1199, 116, 1299, 11963, 4353, 2442, 1309, 1158, 2015, 5020, 8179, 7162, 4748, 23172, 1188, 7722, 1207, 29887, 8732, 23945, 12507, 10999, 1424, 2951, 1158, 18908, 1527, 1299, 10502, 1835, 488, 124, 132, 124, 127, 1167, 488, 124, 132, 124, 131, 1227, 5136, 1197, 5031, 1197, 6197, 3051, 1317, 5818, 1197, 6161, 1430, 1125, 6793, 9593, 1175, 1342, 1764, 1125, 4726, 1167, 6262, 30291, 116, 1167, 1835, 488, 124, 132, 124, 129, 1167, 488, 124, 132, 124, 131, 1188, 1158, 12801, 4403, 1125, 11341, 17526, 1334, 1960, 1175, 1342, 1764, 5443, 1576, 1768, 14164, 3534, 1186, 488, 124, 132, 124, 128, 1300, 1189, 31733, 14299, 1712, 1170, 3151, 4367, 1125, 1919, 1112, 2340, 1125, 11548, 1154, 1415, 1632, 16900, 4367, 2605, 1389, 10248, 26384, 1357, 2934, 5162, 1215, 1207, 7514, 1856, 1215, 1207, 2068, 1333, 1234, 3672, 1158, 16880, 12507, 5549, 5907, 1768, 5367, 7009, 1643, 21851, 8648, 1197, 13427, 1379, 1104, 1256, 14995, 1213, 1816, 4927, 1227, 4319, 1125, 6793, 180, 2392, 1548, 29369, 13075, 1165, 8297, 7658, 1594, 8595, 1188, 1158, 7372, 140, 2357, 9262, 2960, 1170, 25698, 1235, 2035, 1542, 1199, 109, 8370, 1373, 3840, 1250, 4613, 2904, 1312, 25268, 1299, 18494, 1313, 1170, 5773, 1197, 18123, 2892, 1125, 11341, 17526, 1334, 1960, 1188, 1561, 5735, 1186, 488, 124, 132, 125, 128, 12258, 7354, 31322, 1836, 4610, 1125, 9508, 17526, 1334, 1960, 1186, 488, 124, 132, 126, 128, 119, 1167, 10452, 1197, 21289, 3464, 2185, 10772, 1653, 488, 124, 132, 126, 129, 1167, 488, 124, 132, 126, 130, 119, 1527, 30816, 1318, 5601, 1300, 10905, 1232, 1160, 12431, 2765, 1167, 1527, 1299, 10502, 1283, 25953, 1158, 9293, 1197, 14573, 12431, 6542, 1186, 488, 124, 132, 126, 132, 8509, 1267, 1109, 7683, 1424, 2700, 2793, 1136, 1125, 1158, 13097, 1231, 6111, 12132, 1215, 7918, 1227, 488, 124, 123, 2584, 488, 124, 132, 126, 129, 30112, 1136, 1125, 14439, 1227, 25859, 1119, 2728, 21854, 15077, 1125, 28701, 1215, 7918, 1227, 488, 124, 124, 2921, 488, 124, 132, 125, 125, 28756, 1374, 1125, 1158, 13097, 1231, 6111, 12132, 1215, 7918, 1227, 488, 124, 127, 2822, 488, 124, 132, 124, 124, 1194, 282, 19760, 1424, 31560, 21851, 8648, 1197, 13427, 1379, 1104, 1709, 6749, 6880, 1119, 2035, 27969, 2605, 1389, 10248, 12662, 1157, 30686, 1187, 17994, 1424, 31560, 21851, 8648, 1197, 13427, 1379, 1104, 1709, 6749, 28870, 5825, 11934, 3077, 6014, 1424, 1424, 2605, 1389, 10248, 13075, 27283, 124, 132, 123, 123, 124, 1496, 1300, 1170, 1865, 1125, 1158, 16795, 1125, 12052, 10070, 9102, 18857, 1460, 1155, 2605, 1389, 193, 2357, 13075, 12197, 1435, 27283, 488, 124, 132, 123, 123, 2040, 488, 124, 131, 131, 123, 120, 124, 132, 130, 129, 1496, 1300, 1170, 1865, 1125, 1158, 16795, 1125, 12052, 10070, 9102, 18857, 1460, 11488, 1167, 5474, 29496, 1186, 2738, 488, 124, 131, 131, 123, 8156, 1313, 1170, 488, 124, 132, 176, 28077, 1125, 2801, 9317, 1186, 3012, 488, 124, 132, 130, 129, 9317, 1188, 488, 132, 128, 2165, 9317, 1313, 1170, 488, 132, 176, 28077, 1125, 2801, 1530, 6221, 1793, 2720, 1566, 4587, 1374, 1125, 8425, 9593, 5526, 183, 4567, 1125, 12547, 10070, 9102, 18857, 1460, 3229, 20073, 5427, 2720, 3229, 20073, 5427, 1110, 17526, 1334, 1960, 3229, 20073, 5427, 1110, 17526, 1334, 1960, 2720, 3229, 1672, 1929, 2720, 1720, 1142, 4192, 2720, 1227, 23841, 6298, 1720, 1142, 4192, 2720, 1125, 1158, 16880, 12507, 10999, 3198, 2793, 1136, 1125, 1158, 13097, 1231, 6111, 12132, 2969, 192, 1186, 488, 124, 132, 126, 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, 161, 2085, 140, 24534, 172, 1299, 1318, 13168, 1125, 14022, 12628, 10903, 1357, 1253, 3893, 1186, 2720, 1167, 1186, 9400, 8509, 244, 13521, 1167, 31935, 1424, 2272, 4801, 1215, 5612, 1252, 1387, 12361, 1352, 2085, 140, 24534, 172, 1299, 29693, 1215, 1561, 5921, 1248, 1172, 2163, 1518, 6381, 16528, 121, 28148, 1153, 244, 1313, 14756, 3293, 7482, 9971, 1125, 15361, 12925, 1167, 1227, 6508, 119, 1352, 2085, 2564, 1766, 172, 2034, 1370, 1189, 8902, 3277, 8709, 121, 20546, 6500, 2399, 4249, 1382, 1313, 1170, 14408, 1197, 488, 124, 128, 10895, 31935, 14064, 2915, 1186, 488, 125, 123, 124, 123, 1388, 4479, 4092, 1408, 14429, 2399, 30957, 119, 4796, 488, 125, 123, 124, 130, 31428, 1188, 8753, 14765, 1197, 27421, 14064, 2915, 1207, 1408, 4051, 4321, 3747, 4855, 1188, 1197, 10911, 7706, 1309, 1410, 7626, 1443, 12094, 6433, 31090, 29515, 2829, 488, 125, 123, 124, 130, 119, 1158, 13168, 31636, 1170, 21091, 1136, 1518, 2035, 180, 1173, 3727, 1810, 1186, 30789, 1125, 1158, 13168, 17252, 14533, 4964, 488, 125, 190, 17036, 24962, 21916, 1424, 8047, 16917, 1833, 4160, 106, 4458, 1150, 3486, 1494, 17290, 3719, 244, 1215, 1518, 1320, 180, 2499, 173, 6472, 1352, 2085, 13727, 3719, 244, 1215, 13531, 5663, 4839, 7703, 106, 4862, 1145, 1130, 106, 1410, 7626, 1443, 12094, 19101, 1438, 106, 5158, 3656, 1300, 6389, 9971, 119, 8922, 1167, 14268, 1215, 18207, 1653, 1307, 186, 15948, 13459, 22388, 13374, 11052, 2093, 26045, 16062, 1512, 1194, 2330, 2813, 1245, 1125, 14022, 10903, 4196, 2813, 1245, 1125, 14022, 10903, 27931, 20205, 1960, 32001, 1424, 32000, 20036, 2073, 2085, 140, 24534, 172, 1299, 1318, 13168, 1125, 14022, 12628, 10903, 1357, 1253, 3893, 1186, 2720, 1167, 1186, 9400, 8509, 244, 13521, 1167, 31935, 1424, 2272, 4801, 1215, 5612, 1252, 1387, 12361, 1352, 2085, 140, 24534, 172, 1299, 29693, 1215, 1561, 5921, 1248, 1172, 2163, 1518, 6381, 16528, 121, 28148, 1153, 244, 1313, 14756, 3293, 7482, 9971, 1125, 15361, 12925, 1167, 1227, 6508, 119, 1352, 2085, 2564, 1766, 172, 2034, 1370, 1189, 8902, 3277, 8709, 121, 20546, 6500, 2399, 4249, 1382, 1313, 1170, 14408, 1197, 488, 124, 128, 10895, 31935, 14064, 2915, 1186, 488, 125, 123, 124, 123, 1388, 4479, 4092, 1408, 14429, 2399, 30957, 119, 4796, 488, 125, 123, 124, 130, 31428, 1188, 8753, 14765, 1197, 27421, 14064, 2915, 1207, 1408, 4051, 4321, 3747, 4855, 1188, 1197, 10911, 7706, 1309, 1410, 7626, 1443, 12094, 6433, 31090, 29515, 2829, 488, 125, 123, 124, 130, 119, 1158, 13168, 31636, 1170, 21091, 1136, 1518, 2035, 180, 1173, 3727, 1810, 1186, 30789, 1125, 1158, 13168, 17252, 14533, 4964, 488, 125, 190, 17036, 24962, 21916, 1424, 8047, 16917, 1833, 4160, 106, 4458, 1150, 3486, 1494, 17290, 3719, 244, 1215, 1518, 1320, 180, 2499, 173, 6472, 1352, 2085, 13727, 3719, 244, 1215, 13531, 5663, 4839, 7703, 106, 4862, 1145, 1130, 106, 1410, 7626, 1443, 12094, 19101, 1438, 106, 5158, 3656, 1300, 6389, 9971, 119, 8922, 1167, 14268, 1215, 18207, 1653, 1307, 186, 15948, 13459, 22388, 13374, 11052, 2093, 26045, 16062, 1512, 1194, 2330, 2813, 1245, 1125, 14022, 10903, 4196, 2813, 1245, 1125, 14022, 10903, 27931, 20205, 1960, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2073, 2085, 140, 24534, 172, 1299, 1318, 13168, 1125, 14022, 12628, 10903, 1357, 1253, 3893, 1186, 2720, 1167, 1186, 9400, 8509, 244, 13521, 1167, 31935, 1424, 2272, 4801, 1215, 5612, 1252, 1387, 12361, 1352, 2085, 140, 24534, 172, 1299, 29693, 1215, 1561, 5921, 1248, 1172, 2163, 1518, 6381, 16528, 121, 28148, 1153, 244, 1313, 14756, 3293, 7482, 9971, 1125, 15361, 12925, 1167, 1227, 6508, 119, 1352, 2085, 2564, 1766, 172, 2034, 1370, 1189, 8902, 3277, 8709, 121, 20546, 6500, 2399, 4249, 1382, 1313, 1170, 14408, 1197, 488, 124, 128, 10895, 31935, 14064, 2915, 1186, 488, 125, 123, 124, 123, 1388, 4479, 4092, 1408, 14429, 2399, 30957, 119, 4796, 488, 125, 123, 124, 130, 31428, 1188, 8753, 14765, 1197, 27421, 14064, 2915, 1207, 1408, 4051, 4321, 3747, 4855, 1188, 1197, 10911, 7706, 1309, 1410, 7626, 1443, 12094, 6433, 31090, 29515, 2829, 488, 125, 123, 124, 130, 119, 1158, 13168, 31636, 1170, 21091, 1136, 1518, 2035, 180, 1173, 3727, 1810, 1186, 30789, 1125, 1158, 13168, 17252, 14533, 4964, 488, 125, 190, 17036, 24962, 21916, 1424, 8047, 16917, 1833, 4160, 106, 4458, 1150, 3486, 1494, 17290, 3719, 244, 1215, 1518, 1320, 180, 2499, 173, 6472, 1352, 2085, 13727, 3719, 244, 1215, 13531, 5663, 4839, 7703, 106, 4862, 1145, 1130, 106, 1410, 7626, 1443, 12094, 19101, 1438, 106, 5158, 3656, 1300, 6389, 9971, 119, 8922, 1167, 14268, 1215, 18207, 1653, 1307, 186, 15948, 13459, 22388, 13374, 11052, 2093, 26045, 16062, 1512, 1194, 2330, 2813, 1245, 1125, 14022, 10903, 4196, 2813, 1245, 1125, 14022, 10903, 27931, 20205, 1960, 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, 17578, 1125, 4273, 3513, 8021, 3551, 176, 2886, 2548, 1299, 1189, 7271, 17578, 2720, 8446, 1313, 1170, 5927, 1125, 1200, 1445, 8687, 10720, 1107, 1167, 1158, 3734, 6508, 29830, 14564, 176, 17578, 3031, 16142, 6365, 1125, 4273, 3513, 8021, 3551, 176, 2886, 2548, 1313, 7652, 16261, 1125, 11825, 1121, 1199, 1109, 4101, 1199, 5966, 24547, 6218, 30804, 2604, 1370, 1125, 488, 130, 130, 1127, 1175, 2103, 1157, 22303, 1188, 488, 124, 126, 129, 1127, 1175, 3562, 1918, 1172, 1126, 8291, 3441, 16442, 116, 1256, 1318, 30804, 8468, 1125, 488, 124, 123, 127, 1127, 20481, 1194, 25542, 1194, 2272, 1206, 1292, 1201, 1304, 2677, 16261, 11779, 488, 124, 131, 126, 126, 1188, 488, 124, 132, 127, 123, 1718, 2272, 1206, 1292, 1201, 23848, 1125, 488, 124, 131, 126, 126, 1188, 488, 125, 123, 124, 128, 1194, 2700, 4218, 10791, 17578, 1125, 4273, 3513, 8021, 3551, 176, 2886, 24525, 2519, 27929, 1125, 488, 125, 130, 129, 7275, 125, 119, 3031, 13644, 1125, 14756, 8742, 8509, 2035, 4134, 23435, 25526, 3175, 11565, 1194, 218, 1315, 1125, 1158, 5740, 12616, 29391, 1468, 1197, 11391, 1346, 1188, 3089, 1158, 17817, 1215, 8800, 1167, 19412, 1125, 1158, 31601, 1227, 17578, 1125, 4273, 3513, 8021, 3551, 176, 2886, 2548, 1186, 488, 125, 123, 123, 132, 2442, 7686, 4856, 1985, 2121, 4421, 1227, 5927, 1125, 1200, 1445, 8687, 10720, 1107, 1158, 2076, 5910, 1508, 4018, 1473, 1469, 1207, 5102, 2097, 9145, 3852, 5740, 1227, 17578, 12262, 488, 127, 132, 119, 126, 2199, 6111, 11790, 1167, 488, 128, 123, 119, 130, 2199, 1125, 2820, 14385, 3450, 5004, 1186, 488, 125, 123, 123, 132, 1318, 5197, 1215, 6804, 6969, 1304, 9666, 20319, 1408, 11391, 1303, 1309, 4421, 1125, 1158, 2315, 27284, 23231, 25268, 6917, 1186, 5662, 488, 124, 124, 119, 127, 2199, 1125, 2864, 1125, 488, 124, 128, 2165, 1256, 488, 125, 130, 119, 124, 2199, 1125, 1408, 1125, 488, 129, 123, 5305, 3042, 1309, 1256, 1158, 2315, 19640, 1443, 1125, 12614, 119, 1357, 1299, 21082, 1188, 1158, 10041, 1125, 1158, 1910, 1197, 2864, 1125, 488, 125, 123, 2165, 1215, 1158, 1910, 1197, 1408, 1125, 488, 129, 123, 5305, 1299, 1125, 488, 124, 119, 123, 129, 121, 2576, 1490, 1443, 1125, 12614, 1227, 17578, 1299, 2445, 18825, 1188, 3977, 1227, 5927, 1175, 123, 119, 131, 126, 116, 1167, 1188, 3977, 1125, 1158, 3734, 1175, 123, 119, 132, 128, 4023, 20634, 1167, 5474, 1424, 20634, 15948, 13459, 20544, 11052, 1424, 1200, 1445, 8687, 10720, 10582, 12253, 1197, 3483, 1414, 7063, 1125, 1200, 1445, 8687, 10720, 10582, 12253, 1197, 11292, 1376, 1125, 1200, 1445, 8687, 10720, 10582, 12253, 1197, 8742, 1125, 1200, 1445, 8687, 10720, 10582, 12253, 1197, 22433, 23848, 1125, 1200, 1445, 8687, 10720, 1107, 7364, 5825, 1424, 1548, 17578, 1125, 4273, 3513, 8021, 3551, 176, 2886, 2548, 1300, 1170, 1865, 1125, 17289, 7872, 106, 2678, 1227, 17578, 1125, 4273, 3513, 8021, 3551, 176, 2886, 2548, 1300, 9985, 2622, 106, 14404, 4521, 1227, 17578, 1125, 4273, 3513, 8021, 3551, 176, 2886, 2548, 1300, 1318, 5963, 1125, 2315, 4713, 176, 3513, 8021, 3551, 176, 2886, 2548, 32001, 1424, 32000, 20036, 2359, 17578, 1125, 4273, 3513, 8021, 3551, 176, 2886, 2548, 1299, 1189, 7271, 17578, 2720, 8446, 1313, 1170, 5927, 1125, 1200, 1445, 8687, 10720, 1107, 1167, 1158, 3734, 6508, 29830, 14564, 176, 17578, 3031, 16142, 6365, 1125, 4273, 3513, 8021, 3551, 176, 2886, 2548, 1313, 7652, 16261, 1125, 11825, 1121, 1199, 1109, 4101, 1199, 5966, 24547, 6218, 30804, 2604, 1370, 1125, 488, 130, 130, 1127, 1175, 2103, 1157, 22303, 1188, 488, 124, 126, 129, 1127, 1175, 3562, 1918, 1172, 1126, 8291, 3441, 16442, 116, 1256, 1318, 30804, 8468, 1125, 488, 124, 123, 127, 1127, 20481, 1194, 25542, 1194, 2272, 1206, 1292, 1201, 1304, 2677, 16261, 11779, 488, 124, 131, 126, 126, 1188, 488, 124, 132, 127, 123, 1718, 2272, 1206, 1292, 1201, 23848, 1125, 488, 124, 131, 126, 126, 1188, 488, 125, 123, 124, 128, 1194, 2700, 4218, 10791, 17578, 1125, 4273, 3513, 8021, 3551, 176, 2886, 24525, 2519, 27929, 1125, 488, 125, 130, 129, 7275, 125, 119, 3031, 13644, 1125, 14756, 8742, 8509, 2035, 4134, 23435, 25526, 3175, 11565, 1194, 218, 1315, 1125, 1158, 5740, 12616, 29391, 1468, 1197, 11391, 1346, 1188, 3089, 1158, 17817, 1215, 8800, 1167, 19412, 1125, 1158, 31601, 1227, 17578, 1125, 4273, 3513, 8021, 3551, 176, 2886, 2548, 1186, 488, 125, 123, 123, 132, 2442, 7686, 4856, 1985, 2121, 4421, 1227, 5927, 1125, 1200, 1445, 8687, 10720, 1107, 1158, 2076, 5910, 1508, 4018, 1473, 1469, 1207, 5102, 2097, 9145, 3852, 5740, 1227, 17578, 12262, 488, 127, 132, 119, 126, 2199, 6111, 11790, 1167, 488, 128, 123, 119, 130, 2199, 1125, 2820, 14385, 3450, 5004, 1186, 488, 125, 123, 123, 132, 1318, 5197, 1215, 6804, 6969, 1304, 9666, 20319, 1408, 11391, 1303, 1309, 4421, 1125, 1158, 2315, 27284, 23231, 25268, 6917, 1186, 5662, 488, 124, 124, 119, 127, 2199, 1125, 2864, 1125, 488, 124, 128, 2165, 1256, 488, 125, 130, 119, 124, 2199, 1125, 1408, 1125, 488, 129, 123, 5305, 3042, 1309, 1256, 1158, 2315, 19640, 1443, 1125, 12614, 119, 1357, 1299, 21082, 1188, 1158, 10041, 1125, 1158, 1910, 1197, 2864, 1125, 488, 125, 123, 2165, 1215, 1158, 1910, 1197, 1408, 1125, 488, 129, 123, 5305, 1299, 1125, 488, 124, 119, 123, 129, 121, 2576, 1490, 1443, 1125, 12614, 1227, 17578, 1299, 2445, 18825, 1188, 3977, 1227, 5927, 1175, 123, 119, 131, 126, 116, 1167, 1188, 3977, 1125, 1158, 3734, 1175, 123, 119, 132, 128, 4023, 20634, 1167, 5474, 1424, 20634, 15948, 13459, 20544, 11052, 1424, 1200, 1445, 8687, 10720, 10582, 12253, 1197, 3483, 1414, 7063, 1125, 1200, 1445, 8687, 10720, 10582, 12253, 1197, 11292, 1376, 1125, 1200, 1445, 8687, 10720, 10582, 12253, 1197, 8742, 1125, 1200, 1445, 8687, 10720, 10582, 12253, 1197, 22433, 23848, 1125, 1200, 1445, 8687, 10720, 1107, 7364, 5825, 1424, 1548, 17578, 1125, 4273, 3513, 8021, 3551, 176, 2886, 2548, 1300, 1170, 1865, 1125, 17289, 7872, 106, 2678, 1227, 17578, 1125, 4273, 3513, 8021, 3551, 176, 2886, 2548, 1300, 9985, 2622, 106, 14404, 4521, 1227, 17578, 1125, 4273, 3513, 8021, 3551, 176, 2886, 2548, 1300, 1318, 5963, 1125, 2315, 4713, 176, 3513, 8021, 3551, 176, 2886, 2548, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 17578, 1125, 4273, 3513, 8021, 3551, 176, 2886, 2548, 1299, 1189, 7271, 17578, 2720, 8446, 1313, 1170, 5927, 1125, 1200, 1445, 8687, 10720, 1107, 1167, 1158, 3734, 6508, 29830, 14564, 176, 17578, 3031, 16142, 6365, 1125, 4273, 3513, 8021, 3551, 176, 2886, 2548, 1313, 7652, 16261, 1125, 11825, 1121, 1199, 1109, 4101, 1199, 5966, 24547, 6218, 30804, 2604, 1370, 1125, 488, 130, 130, 1127, 1175, 2103, 1157, 22303, 1188, 488, 124, 126, 129, 1127, 1175, 3562, 1918, 1172, 1126, 8291, 3441, 16442, 116, 1256, 1318, 30804, 8468, 1125, 488, 124, 123, 127, 1127, 20481, 1194, 25542, 1194, 2272, 1206, 1292, 1201, 1304, 2677, 16261, 11779, 488, 124, 131, 126, 126, 1188, 488, 124, 132, 127, 123, 1718, 2272, 1206, 1292, 1201, 23848, 1125, 488, 124, 131, 126, 126, 1188, 488, 125, 123, 124, 128, 1194, 2700, 4218, 10791, 17578, 1125, 4273, 3513, 8021, 3551, 176, 2886, 24525, 2519, 27929, 1125, 488, 125, 130, 129, 7275, 125, 119, 3031, 13644, 1125, 14756, 8742, 8509, 2035, 4134, 23435, 25526, 3175, 11565, 1194, 218, 1315, 1125, 1158, 5740, 12616, 29391, 1468, 1197, 11391, 1346, 1188, 3089, 1158, 17817, 1215, 8800, 1167, 19412, 1125, 1158, 31601, 1227, 17578, 1125, 4273, 3513, 8021, 3551, 176, 2886, 2548, 1186, 488, 125, 123, 123, 132, 2442, 7686, 4856, 1985, 2121, 4421, 1227, 5927, 1125, 1200, 1445, 8687, 10720, 1107, 1158, 2076, 5910, 1508, 4018, 1473, 1469, 1207, 5102, 2097, 9145, 3852, 5740, 1227, 17578, 12262, 488, 127, 132, 119, 126, 2199, 6111, 11790, 1167, 488, 128, 123, 119, 130, 2199, 1125, 2820, 14385, 3450, 5004, 1186, 488, 125, 123, 123, 132, 1318, 5197, 1215, 6804, 6969, 1304, 9666, 20319, 1408, 11391, 1303, 1309, 4421, 1125, 1158, 2315, 27284, 23231, 25268, 6917, 1186, 5662, 488, 124, 124, 119, 127, 2199, 1125, 2864, 1125, 488, 124, 128, 2165, 1256, 488, 125, 130, 119, 124, 2199, 1125, 1408, 1125, 488, 129, 123, 5305, 3042, 1309, 1256, 1158, 2315, 19640, 1443, 1125, 12614, 119, 1357, 1299, 21082, 1188, 1158, 10041, 1125, 1158, 1910, 1197, 2864, 1125, 488, 125, 123, 2165, 1215, 1158, 1910, 1197, 1408, 1125, 488, 129, 123, 5305, 1299, 1125, 488, 124, 119, 123, 129, 121, 2576, 1490, 1443, 1125, 12614, 1227, 17578, 1299, 2445, 18825, 1188, 3977, 1227, 5927, 1175, 123, 119, 131, 126, 116, 1167, 1188, 3977, 1125, 1158, 3734, 1175, 123, 119, 132, 128, 4023, 20634, 1167, 5474, 1424, 20634, 15948, 13459, 20544, 11052, 1424, 1200, 1445, 8687, 10720, 10582, 12253, 1197, 3483, 1414, 7063, 1125, 1200, 1445, 8687, 10720, 10582, 12253, 1197, 11292, 1376, 1125, 1200, 1445, 8687, 10720, 10582, 12253, 1197, 8742, 1125, 1200, 1445, 8687, 10720, 10582, 12253, 1197, 22433, 23848, 1125, 1200, 1445, 8687, 10720, 1107, 7364, 5825, 1424, 1548, 17578, 1125, 4273, 3513, 8021, 3551, 176, 2886, 2548, 1300, 1170, 1865, 1125, 17289, 7872, 106, 2678, 1227, 17578, 1125, 4273, 3513, 8021, 3551, 176, 2886, 2548, 1300, 9985, 2622, 106, 14404, 4521, 1227, 17578, 1125, 4273, 3513, 8021, 3551, 176, 2886, 2548, 1300, 1318, 5963, 1125, 2315, 4713, 176, 3513, 8021, 3551, 176, 2886, 2548, 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, 1603, 10194, 3281, 25591, 12277, 1299, 1318, 28896, 1227, 12311, 20606, 3023, 1188, 1200, 1795, 4780, 27537, 2079, 488, 124, 125, 127, 123, 119, 1167, 1357, 3618, 1158, 4803, 1348, 9033, 1188, 1158, 2768, 1318, 19951, 1206, 1167, 1318, 28896, 1125, 1138, 1603, 7653, 1272, 31265, 3838, 5252, 3589, 178, 1752, 1460, 1188, 1158, 3011, 2519, 19006, 1227, 26851, 19565, 3557, 23278, 25897, 6768, 1158, 1408, 16402, 28896, 1227, 9221, 1138, 1603, 192, 7261, 3495, 1199, 3295, 1186, 4159, 10177, 15376, 30419, 1138, 1603, 7653, 1272, 3281, 25591, 12277, 7457, 1913, 15974, 1215, 1170, 15923, 22517, 22730, 1494, 1170, 1233, 3102, 1277, 1175, 124, 124, 126, 124, 120, 124, 124, 130, 130, 116, 8501, 21469, 1318, 4786, 3851, 1277, 1317, 8007, 1227, 2271, 31549, 6298, 2290, 1158, 1264, 4437, 1227, 21091, 1136, 24242, 21937, 30446, 5760, 13102, 4270, 1793, 1227, 9221, 1138, 1603, 192, 7261, 1188, 31906, 121, 28468, 1527, 16823, 1309, 1170, 3151, 8325, 28567, 22816, 13826, 1188, 3371, 14496, 119, 8446, 1188, 28347, 1125, 1282, 1419, 6544, 24644, 1125, 31906, 1167, 1188, 29487, 1227, 13587, 5519, 193, 1150, 1762, 1110, 1913, 8325, 19546, 1835, 488, 124, 124, 130, 132, 1167, 488, 124, 124, 131, 126, 119, 2666, 2750, 1158, 4541, 1125, 22730, 1494, 1167, 2567, 19660, 1125, 1158, 3453, 9287, 1125, 7707, 1374, 1104, 5402, 7531, 172, 1965, 1197, 1606, 5247, 5402, 17333, 1524, 1309, 10276, 4689, 1370, 1382, 2743, 1606, 1138, 1603, 192, 2252, 3133, 20171, 1256, 1158, 3453, 2768, 1313, 1158, 3453, 13624, 1227, 2271, 31549, 6298, 8273, 8690, 1197, 1606, 5247, 5402, 17333, 1524, 5230, 25536, 3839, 1188, 4428, 14249, 3281, 25591, 12277, 2130, 12634, 1251, 1823, 1830, 3250, 10499, 6002, 1653, 488, 124, 125, 127, 124, 119, 1318, 27059, 1299, 11661, 6407, 1215, 10905, 25157, 17215, 1125, 1165, 16442, 27559, 9254, 9905, 1306, 5200, 1243, 1217, 1108, 1188, 2008, 7707, 1374, 1104, 5402, 7531, 4735, 1323, 1357, 1508, 3042, 1317, 2510, 1125, 488, 131, 1323, 9005, 8142, 2335, 28896, 3839, 1186, 4971, 8273, 8414, 5563, 1186, 1638, 1467, 1166, 1118, 29207, 22938, 15574, 1189, 3838, 1185, 1752, 1460, 4077, 1167, 9153, 1199, 1188, 30457, 1197, 1138, 1603, 192, 2252, 1257, 1873, 261, 1883, 1186, 23674, 14306, 1130, 1264, 3683, 26712, 2130, 7639, 6523, 1382, 1125, 12770, 1595, 7471, 12829, 488, 124, 130, 130, 130, 119, 16186, 2985, 1329, 6968, 1125, 1290, 1308, 190, 1167, 1708, 8486, 3023, 1188, 1158, 4334, 7745, 1105, 7074, 18183, 1299, 10374, 1188, 1158, 19006, 23268, 1125, 488, 124, 131, 131, 128, 1188, 488, 124, 131, 132, 125, 1215, 1282, 23821, 15357, 5252, 3589, 178, 1752, 1460, 5348, 11275, 10589, 3675, 1512, 121, 7022, 1303, 18253, 10777, 1186, 488, 124, 132, 126, 129, 119, 22938, 1844, 10125, 3247, 1227, 5450, 9330, 16191, 13313, 1125, 1158, 11109, 7138, 1388, 5010, 1197, 14635, 27012, 8290, 6255, 1197, 14635, 4716, 20780, 1188, 22938, 16888, 1516, 2982, 1362, 2487, 1318, 6885, 1281, 5209, 1313, 22938, 7465, 1119, 5264, 192, 1292, 6630, 3091, 4618, 1175, 124, 129, 126, 131, 120, 124, 129, 130, 128, 1496, 18866, 26045, 8670, 14252, 1175, 124, 131, 125, 124, 120, 124, 132, 123, 129, 1496, 18866, 3699, 3551, 24811, 29568, 1515, 1175, 124, 131, 125, 124, 120, 124, 131, 132, 127, 1496, 7813, 15357, 1167, 11401, 1793, 1175, 1636, 3423, 1836, 1227, 13822, 120, 1511, 1140, 116, 5348, 11275, 10589, 3675, 1512, 1175, 124, 131, 125, 129, 120, 124, 132, 123, 130, 1496, 7813, 15357, 10935, 15783, 1213, 189, 1495, 1175, 124, 131, 127, 128, 120, 124, 131, 132, 131, 1496, 13822, 27977, 2408, 9323, 1167, 20117, 2072, 17994, 1194, 119, 488, 124, 129, 2678, 2942, 13374, 11052, 22730, 1494, 1170, 1233, 3102, 1277, 5450, 9330, 22816, 1125, 31906, 13063, 3281, 25591, 12277, 1233, 1603, 7653, 1741, 1125, 31906, 1233, 1603, 7653, 1272, 3281, 25591, 12277, 1125, 31906, 12253, 1197, 1215, 186, 14272, 1313, 1170, 28565, 7551, 1125, 31906, 12253, 1197, 8325, 1221, 1989, 22816, 1125, 31906, 7364, 5825, 1194, 2330, 7464, 12277, 1125, 23121, 1315, 23121, 1315, 20705, 5450, 9330, 13313, 14399, 1188, 31906, 114, 32001, 1424, 32000, 20036, 6725, 1603, 10194, 3281, 25591, 12277, 1299, 1318, 28896, 1227, 12311, 20606, 3023, 1188, 1200, 1795, 4780, 27537, 2079, 488, 124, 125, 127, 123, 119, 1167, 1357, 3618, 1158, 4803, 1348, 9033, 1188, 1158, 2768, 1318, 19951, 1206, 1167, 1318, 28896, 1125, 1138, 1603, 7653, 1272, 31265, 3838, 5252, 3589, 178, 1752, 1460, 1188, 1158, 3011, 2519, 19006, 1227, 26851, 19565, 3557, 23278, 25897, 6768, 1158, 1408, 16402, 28896, 1227, 9221, 1138, 1603, 192, 7261, 3495, 1199, 3295, 1186, 4159, 10177, 15376, 30419, 1138, 1603, 7653, 1272, 3281, 25591, 12277, 7457, 1913, 15974, 1215, 1170, 15923, 22517, 22730, 1494, 1170, 1233, 3102, 1277, 1175, 124, 124, 126, 124, 120, 124, 124, 130, 130, 116, 8501, 21469, 1318, 4786, 3851, 1277, 1317, 8007, 1227, 2271, 31549, 6298, 2290, 1158, 1264, 4437, 1227, 21091, 1136, 24242, 21937, 30446, 5760, 13102, 4270, 1793, 1227, 9221, 1138, 1603, 192, 7261, 1188, 31906, 121, 28468, 1527, 16823, 1309, 1170, 3151, 8325, 28567, 22816, 13826, 1188, 3371, 14496, 119, 8446, 1188, 28347, 1125, 1282, 1419, 6544, 24644, 1125, 31906, 1167, 1188, 29487, 1227, 13587, 5519, 193, 1150, 1762, 1110, 1913, 8325, 19546, 1835, 488, 124, 124, 130, 132, 1167, 488, 124, 124, 131, 126, 119, 2666, 2750, 1158, 4541, 1125, 22730, 1494, 1167, 2567, 19660, 1125, 1158, 3453, 9287, 1125, 7707, 1374, 1104, 5402, 7531, 172, 1965, 1197, 1606, 5247, 5402, 17333, 1524, 1309, 10276, 4689, 1370, 1382, 2743, 1606, 1138, 1603, 192, 2252, 3133, 20171, 1256, 1158, 3453, 2768, 1313, 1158, 3453, 13624, 1227, 2271, 31549, 6298, 8273, 8690, 1197, 1606, 5247, 5402, 17333, 1524, 5230, 25536, 3839, 1188, 4428, 14249, 3281, 25591, 12277, 2130, 12634, 1251, 1823, 1830, 3250, 10499, 6002, 1653, 488, 124, 125, 127, 124, 119, 1318, 27059, 1299, 11661, 6407, 1215, 10905, 25157, 17215, 1125, 1165, 16442, 27559, 9254, 9905, 1306, 5200, 1243, 1217, 1108, 1188, 2008, 7707, 1374, 1104, 5402, 7531, 4735, 1323, 1357, 1508, 3042, 1317, 2510, 1125, 488, 131, 1323, 9005, 8142, 2335, 28896, 3839, 1186, 4971, 8273, 8414, 5563, 1186, 1638, 1467, 1166, 1118, 29207, 22938, 15574, 1189, 3838, 1185, 1752, 1460, 4077, 1167, 9153, 1199, 1188, 30457, 1197, 1138, 1603, 192, 2252, 1257, 1873, 261, 1883, 1186, 23674, 14306, 1130, 1264, 3683, 26712, 2130, 7639, 6523, 1382, 1125, 12770, 1595, 7471, 12829, 488, 124, 130, 130, 130, 119, 16186, 2985, 1329, 6968, 1125, 1290, 1308, 190, 1167, 1708, 8486, 3023, 1188, 1158, 4334, 7745, 1105, 7074, 18183, 1299, 10374, 1188, 1158, 19006, 23268, 1125, 488, 124, 131, 131, 128, 1188, 488, 124, 131, 132, 125, 1215, 1282, 23821, 15357, 5252, 3589, 178, 1752, 1460, 5348, 11275, 10589, 3675, 1512, 121, 7022, 1303, 18253, 10777, 1186, 488, 124, 132, 126, 129, 119, 22938, 1844, 10125, 3247, 1227, 5450, 9330, 16191, 13313, 1125, 1158, 11109, 7138, 1388, 5010, 1197, 14635, 27012, 8290, 6255, 1197, 14635, 4716, 20780, 1188, 22938, 16888, 1516, 2982, 1362, 2487, 1318, 6885, 1281, 5209, 1313, 22938, 7465, 1119, 5264, 192, 1292, 6630, 3091, 4618, 1175, 124, 129, 126, 131, 120, 124, 129, 130, 128, 1496, 18866, 26045, 8670, 14252, 1175, 124, 131, 125, 124, 120, 124, 132, 123, 129, 1496, 18866, 3699, 3551, 24811, 29568, 1515, 1175, 124, 131, 125, 124, 120, 124, 131, 132, 127, 1496, 7813, 15357, 1167, 11401, 1793, 1175, 1636, 3423, 1836, 1227, 13822, 120, 1511, 1140, 116, 5348, 11275, 10589, 3675, 1512, 1175, 124, 131, 125, 129, 120, 124, 132, 123, 130, 1496, 7813, 15357, 10935, 15783, 1213, 189, 1495, 1175, 124, 131, 127, 128, 120, 124, 131, 132, 131, 1496, 13822, 27977, 2408, 9323, 1167, 20117, 2072, 17994, 1194, 119, 488, 124, 129, 2678, 2942, 13374, 11052, 22730, 1494, 1170, 1233, 3102, 1277, 5450, 9330, 22816, 1125, 31906, 13063, 3281, 25591, 12277, 1233, 1603, 7653, 1741, 1125, 31906, 1233, 1603, 7653, 1272, 3281, 25591, 12277, 1125, 31906, 12253, 1197, 1215, 186, 14272, 1313, 1170, 28565, 7551, 1125, 31906, 12253, 1197, 8325, 1221, 1989, 22816, 1125, 31906, 7364, 5825, 1194, 2330, 7464, 12277, 1125, 23121, 1315, 23121, 1315, 20705, 5450, 9330, 13313, 14399, 1188, 31906, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1603, 10194, 3281, 25591, 12277, 1299, 1318, 28896, 1227, 12311, 20606, 3023, 1188, 1200, 1795, 4780, 27537, 2079, 488, 124, 125, 127, 123, 119, 1167, 1357, 3618, 1158, 4803, 1348, 9033, 1188, 1158, 2768, 1318, 19951, 1206, 1167, 1318, 28896, 1125, 1138, 1603, 7653, 1272, 31265, 3838, 5252, 3589, 178, 1752, 1460, 1188, 1158, 3011, 2519, 19006, 1227, 26851, 19565, 3557, 23278, 25897, 6768, 1158, 1408, 16402, 28896, 1227, 9221, 1138, 1603, 192, 7261, 3495, 1199, 3295, 1186, 4159, 10177, 15376, 30419, 1138, 1603, 7653, 1272, 3281, 25591, 12277, 7457, 1913, 15974, 1215, 1170, 15923, 22517, 22730, 1494, 1170, 1233, 3102, 1277, 1175, 124, 124, 126, 124, 120, 124, 124, 130, 130, 116, 8501, 21469, 1318, 4786, 3851, 1277, 1317, 8007, 1227, 2271, 31549, 6298, 2290, 1158, 1264, 4437, 1227, 21091, 1136, 24242, 21937, 30446, 5760, 13102, 4270, 1793, 1227, 9221, 1138, 1603, 192, 7261, 1188, 31906, 121, 28468, 1527, 16823, 1309, 1170, 3151, 8325, 28567, 22816, 13826, 1188, 3371, 14496, 119, 8446, 1188, 28347, 1125, 1282, 1419, 6544, 24644, 1125, 31906, 1167, 1188, 29487, 1227, 13587, 5519, 193, 1150, 1762, 1110, 1913, 8325, 19546, 1835, 488, 124, 124, 130, 132, 1167, 488, 124, 124, 131, 126, 119, 2666, 2750, 1158, 4541, 1125, 22730, 1494, 1167, 2567, 19660, 1125, 1158, 3453, 9287, 1125, 7707, 1374, 1104, 5402, 7531, 172, 1965, 1197, 1606, 5247, 5402, 17333, 1524, 1309, 10276, 4689, 1370, 1382, 2743, 1606, 1138, 1603, 192, 2252, 3133, 20171, 1256, 1158, 3453, 2768, 1313, 1158, 3453, 13624, 1227, 2271, 31549, 6298, 8273, 8690, 1197, 1606, 5247, 5402, 17333, 1524, 5230, 25536, 3839, 1188, 4428, 14249, 3281, 25591, 12277, 2130, 12634, 1251, 1823, 1830, 3250, 10499, 6002, 1653, 488, 124, 125, 127, 124, 119, 1318, 27059, 1299, 11661, 6407, 1215, 10905, 25157, 17215, 1125, 1165, 16442, 27559, 9254, 9905, 1306, 5200, 1243, 1217, 1108, 1188, 2008, 7707, 1374, 1104, 5402, 7531, 4735, 1323, 1357, 1508, 3042, 1317, 2510, 1125, 488, 131, 1323, 9005, 8142, 2335, 28896, 3839, 1186, 4971, 8273, 8414, 5563, 1186, 1638, 1467, 1166, 1118, 29207, 22938, 15574, 1189, 3838, 1185, 1752, 1460, 4077, 1167, 9153, 1199, 1188, 30457, 1197, 1138, 1603, 192, 2252, 1257, 1873, 261, 1883, 1186, 23674, 14306, 1130, 1264, 3683, 26712, 2130, 7639, 6523, 1382, 1125, 12770, 1595, 7471, 12829, 488, 124, 130, 130, 130, 119, 16186, 2985, 1329, 6968, 1125, 1290, 1308, 190, 1167, 1708, 8486, 3023, 1188, 1158, 4334, 7745, 1105, 7074, 18183, 1299, 10374, 1188, 1158, 19006, 23268, 1125, 488, 124, 131, 131, 128, 1188, 488, 124, 131, 132, 125, 1215, 1282, 23821, 15357, 5252, 3589, 178, 1752, 1460, 5348, 11275, 10589, 3675, 1512, 121, 7022, 1303, 18253, 10777, 1186, 488, 124, 132, 126, 129, 119, 22938, 1844, 10125, 3247, 1227, 5450, 9330, 16191, 13313, 1125, 1158, 11109, 7138, 1388, 5010, 1197, 14635, 27012, 8290, 6255, 1197, 14635, 4716, 20780, 1188, 22938, 16888, 1516, 2982, 1362, 2487, 1318, 6885, 1281, 5209, 1313, 22938, 7465, 1119, 5264, 192, 1292, 6630, 3091, 4618, 1175, 124, 129, 126, 131, 120, 124, 129, 130, 128, 1496, 18866, 26045, 8670, 14252, 1175, 124, 131, 125, 124, 120, 124, 132, 123, 129, 1496, 18866, 3699, 3551, 24811, 29568, 1515, 1175, 124, 131, 125, 124, 120, 124, 131, 132, 127, 1496, 7813, 15357, 1167, 11401, 1793, 1175, 1636, 3423, 1836, 1227, 13822, 120, 1511, 1140, 116, 5348, 11275, 10589, 3675, 1512, 1175, 124, 131, 125, 129, 120, 124, 132, 123, 130, 1496, 7813, 15357, 10935, 15783, 1213, 189, 1495, 1175, 124, 131, 127, 128, 120, 124, 131, 132, 131, 1496, 13822, 27977, 2408, 9323, 1167, 20117, 2072, 17994, 1194, 119, 488, 124, 129, 2678, 2942, 13374, 11052, 22730, 1494, 1170, 1233, 3102, 1277, 5450, 9330, 22816, 1125, 31906, 13063, 3281, 25591, 12277, 1233, 1603, 7653, 1741, 1125, 31906, 1233, 1603, 7653, 1272, 3281, 25591, 12277, 1125, 31906, 12253, 1197, 1215, 186, 14272, 1313, 1170, 28565, 7551, 1125, 31906, 12253, 1197, 8325, 1221, 1989, 22816, 1125, 31906, 7364, 5825, 1194, 2330, 7464, 12277, 1125, 23121, 1315, 23121, 1315, 20705, 5450, 9330, 13313, 14399, 1188, 31906, 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, 2120, 2154, 1125, 16647, 1804, 1475, 1141, 1299, 1189, 3283, 9732, 1125, 1158, 5646, 1300, 8317, 1170, 488, 124, 132, 2829, 488, 125, 123, 123, 127, 119, 1188, 488, 220, 239, 1245, 182, 1180, 182, 2433, 1188, 11793, 16647, 1804, 1475, 4277, 1186, 4444, 15613, 121, 4511, 488, 124, 123, 4898, 13359, 1175, 31421, 1496, 1189, 10972, 26554, 5192, 1199, 1125, 12088, 8502, 20355, 1541, 1125, 4105, 4280, 20107, 244, 1186, 1254, 6271, 3254, 180, 15824, 3627, 4089, 4688, 1125, 488, 130, 129, 20306, 1125, 10972, 13462, 1496, 1299, 9665, 1125, 1561, 8401, 1167, 8135, 2170, 1141, 10575, 1313, 1189, 29936, 1124, 6663, 1199, 1186, 3691, 121, 28952, 5192, 1370, 488, 126, 130, 1931, 1193, 2563, 6346, 1256, 1158, 7759, 119, 2079, 1170, 4779, 1125, 15225, 1125, 1248, 4849, 1128, 1145, 1407, 180, 1256, 1197, 11175, 1125, 15225, 1294, 187, 4537, 2576, 2120, 2154, 1299, 1300, 8317, 1300, 1158, 20274, 5277, 488, 127, 7890, 488, 130, 128, 116, 1317, 8030, 1125, 488, 220, 239, 1245, 182, 1180, 182, 3266, 2576, 2120, 2154, 1110, 8946, 6968, 1158, 4541, 1227, 8481, 1929, 1125, 24858, 1237, 1124, 1167, 1125, 488, 125, 125, 1125, 1909, 1931, 1193, 2996, 488, 124, 127, 2905, 15935, 9814, 4413, 1548, 8328, 1125, 13041, 1419, 1125, 6273, 4716, 2385, 1568, 1389, 24858, 1237, 1124, 1110, 3731, 1313, 18305, 2154, 121, 1643, 7759, 1197, 15670, 17937, 2457, 1317, 3013, 1227, 1106, 3599, 1167, 15935, 3316, 1473, 1300, 1170, 5044, 1215, 5259, 10612, 1197, 12088, 8502, 20355, 1541, 1125, 11002, 1313, 3712, 3379, 8532, 1125, 24858, 1237, 13649, 1548, 27845, 1227, 10972, 26554, 1299, 9665, 4761, 184, 1245, 1125, 18305, 2154, 121, 2576, 2120, 2154, 2985, 6403, 244, 1215, 1170, 8899, 11697, 8622, 1622, 18131, 6396, 1968, 2154, 29989, 1162, 10479, 4444, 2621, 116, 2093, 2330, 2548, 4058, 1125, 21804, 18679, 5532, 462, 2120, 2154, 1299, 1300, 8317, 1188, 1158, 3011, 2335, 4810, 1242, 1272, 1227, 4665, 7979, 2874, 1541, 15013, 1125, 1158, 24868, 3049, 1121, 5161, 18747, 1999, 15929, 1221, 5472, 7328, 1982, 11924, 10905, 4096, 1125, 1158, 1878, 1121, 1244, 1125, 1158, 12934, 3798, 21262, 1125, 1982, 13415, 1158, 1878, 1121, 1244, 1300, 1158, 5646, 119, 1170, 27845, 5441, 1382, 4576, 3356, 121, 3066, 1158, 1878, 1121, 1244, 1299, 1906, 18134, 1300, 1158, 5646, 119, 1207, 8574, 17871, 30845, 1188, 1318, 6904, 3077, 5650, 1188, 1197, 1300, 6819, 1104, 1167, 1188, 1158, 12934, 1303, 21426, 1303, 2004, 14367, 4568, 1158, 3591, 1188, 1271, 2603, 4260, 1227, 29184, 1269, 1175, 13454, 2567, 1125, 1158, 1878, 1121, 1244, 1576, 1643, 1878, 1121, 1244, 1110, 18280, 180, 1561, 2478, 1470, 2240, 1300, 1158, 12934, 1303, 21426, 1303, 1186, 20040, 1199, 1227, 5719, 8632, 1227, 5873, 11682, 1469, 1170, 3627, 2567, 1188, 488, 132, 123, 28296, 4413, 3450, 1110, 25911, 8946, 6968, 1170, 4062, 1593, 1300, 1170, 5719, 8632, 1125, 1158, 12934, 1303, 1167, 1110, 15231, 1178, 244, 5775, 1984, 17162, 1237, 1124, 6663, 1199, 1186, 3691, 121, 13802, 1158, 10821, 1227, 20577, 119, 1170, 8407, 4618, 11345, 1593, 2567, 116, 1125, 1158, 1878, 1121, 1244, 1110, 1116, 12374, 1167, 7762, 20355, 1541, 1125, 11002, 1125, 488, 125, 123, 20306, 15935, 1253, 1668, 1234, 1125, 1158, 1878, 1121, 1244, 1313, 4428, 3379, 8532, 1125, 24858, 1237, 13649, 4511, 27942, 119, 1158, 12029, 1125, 3219, 8654, 3031, 1125, 488, 131, 123, 7275, 7921, 121, 2576, 5943, 1125, 24858, 1383, 3794, 2442, 1309, 1125, 3171, 8824, 1473, 1125, 4118, 22012, 15935, 2609, 9080, 1234, 1313, 1207, 8826, 1795, 1623, 1125, 9640, 6441, 16354, 1551, 9994, 462, 1108, 8622, 6484, 27165, 1309, 1158, 3755, 5578, 3031, 1186, 1300, 7095, 1125, 10972, 5146, 16849, 1175, 127, 129, 20306, 116, 1167, 8060, 20040, 1370, 1170, 10972, 31355, 5146, 16849, 1175, 129, 123, 20306, 1576, 1548, 27845, 23150, 1382, 4435, 244, 1207, 8267, 5422, 4083, 1300, 1207, 2658, 1125, 14424, 5007, 2108, 1125, 488, 127, 128, 4826, 2567, 488, 127, 179, 126, 123, 1125, 14424, 4216, 116, 1309, 1300, 1170, 2658, 1125, 2498, 1622, 18131, 5007, 2108, 2567, 488, 128, 179, 126, 123, 1125, 2498, 1576, 3066, 14884, 21426, 244, 1125, 1158, 12934, 1303, 1167, 1207, 14042, 1125, 1971, 1201, 1508, 1906, 1188, 1158, 3869, 1227, 1106, 3599, 119, 1170, 8902, 3277, 1125, 20463, 4053, 1299, 16509, 1188, 1189, 5044, 1125, 3035, 1199, 1227, 27845, 1125, 9933, 121, 2814, 1174, 31724, 1227, 4810, 1242, 1272, 1125, 3790, 1216, 2035, 1348, 15013, 1125, 1158, 24868, 3049, 1121, 1244, 1110, 1256, 12238, 1314, 1318, 6904, 10774, 1227, 10972, 26554, 1175, 124, 123, 123, 7275, 7921, 1256, 488, 131, 123, 16849, 116, 1313, 1158, 8466, 1849, 24890, 17994, 1194, 8321, 2154, 1125, 1158, 5646, 488, 125, 123, 123, 127, 1186, 4444, 15613, 114, 32001, 1424, 32000, 20036, 6725, 2120, 2154, 1125, 16647, 1804, 1475, 1141, 1299, 1189, 3283, 9732, 1125, 1158, 5646, 1300, 8317, 1170, 488, 124, 132, 2829, 488, 125, 123, 123, 127, 119, 1188, 488, 220, 239, 1245, 182, 1180, 182, 2433, 1188, 11793, 16647, 1804, 1475, 4277, 1186, 4444, 15613, 121, 4511, 488, 124, 123, 4898, 13359, 1175, 31421, 1496, 1189, 10972, 26554, 5192, 1199, 1125, 12088, 8502, 20355, 1541, 1125, 4105, 4280, 20107, 244, 1186, 1254, 6271, 3254, 180, 15824, 3627, 4089, 4688, 1125, 488, 130, 129, 20306, 1125, 10972, 13462, 1496, 1299, 9665, 1125, 1561, 8401, 1167, 8135, 2170, 1141, 10575, 1313, 1189, 29936, 1124, 6663, 1199, 1186, 3691, 121, 28952, 5192, 1370, 488, 126, 130, 1931, 1193, 2563, 6346, 1256, 1158, 7759, 119, 2079, 1170, 4779, 1125, 15225, 1125, 1248, 4849, 1128, 1145, 1407, 180, 1256, 1197, 11175, 1125, 15225, 1294, 187, 4537, 2576, 2120, 2154, 1299, 1300, 8317, 1300, 1158, 20274, 5277, 488, 127, 7890, 488, 130, 128, 116, 1317, 8030, 1125, 488, 220, 239, 1245, 182, 1180, 182, 3266, 2576, 2120, 2154, 1110, 8946, 6968, 1158, 4541, 1227, 8481, 1929, 1125, 24858, 1237, 1124, 1167, 1125, 488, 125, 125, 1125, 1909, 1931, 1193, 2996, 488, 124, 127, 2905, 15935, 9814, 4413, 1548, 8328, 1125, 13041, 1419, 1125, 6273, 4716, 2385, 1568, 1389, 24858, 1237, 1124, 1110, 3731, 1313, 18305, 2154, 121, 1643, 7759, 1197, 15670, 17937, 2457, 1317, 3013, 1227, 1106, 3599, 1167, 15935, 3316, 1473, 1300, 1170, 5044, 1215, 5259, 10612, 1197, 12088, 8502, 20355, 1541, 1125, 11002, 1313, 3712, 3379, 8532, 1125, 24858, 1237, 13649, 1548, 27845, 1227, 10972, 26554, 1299, 9665, 4761, 184, 1245, 1125, 18305, 2154, 121, 2576, 2120, 2154, 2985, 6403, 244, 1215, 1170, 8899, 11697, 8622, 1622, 18131, 6396, 1968, 2154, 29989, 1162, 10479, 4444, 2621, 116, 2093, 2330, 2548, 4058, 1125, 21804, 18679, 5532, 462, 2120, 2154, 1299, 1300, 8317, 1188, 1158, 3011, 2335, 4810, 1242, 1272, 1227, 4665, 7979, 2874, 1541, 15013, 1125, 1158, 24868, 3049, 1121, 5161, 18747, 1999, 15929, 1221, 5472, 7328, 1982, 11924, 10905, 4096, 1125, 1158, 1878, 1121, 1244, 1125, 1158, 12934, 3798, 21262, 1125, 1982, 13415, 1158, 1878, 1121, 1244, 1300, 1158, 5646, 119, 1170, 27845, 5441, 1382, 4576, 3356, 121, 3066, 1158, 1878, 1121, 1244, 1299, 1906, 18134, 1300, 1158, 5646, 119, 1207, 8574, 17871, 30845, 1188, 1318, 6904, 3077, 5650, 1188, 1197, 1300, 6819, 1104, 1167, 1188, 1158, 12934, 1303, 21426, 1303, 2004, 14367, 4568, 1158, 3591, 1188, 1271, 2603, 4260, 1227, 29184, 1269, 1175, 13454, 2567, 1125, 1158, 1878, 1121, 1244, 1576, 1643, 1878, 1121, 1244, 1110, 18280, 180, 1561, 2478, 1470, 2240, 1300, 1158, 12934, 1303, 21426, 1303, 1186, 20040, 1199, 1227, 5719, 8632, 1227, 5873, 11682, 1469, 1170, 3627, 2567, 1188, 488, 132, 123, 28296, 4413, 3450, 1110, 25911, 8946, 6968, 1170, 4062, 1593, 1300, 1170, 5719, 8632, 1125, 1158, 12934, 1303, 1167, 1110, 15231, 1178, 244, 5775, 1984, 17162, 1237, 1124, 6663, 1199, 1186, 3691, 121, 13802, 1158, 10821, 1227, 20577, 119, 1170, 8407, 4618, 11345, 1593, 2567, 116, 1125, 1158, 1878, 1121, 1244, 1110, 1116, 12374, 1167, 7762, 20355, 1541, 1125, 11002, 1125, 488, 125, 123, 20306, 15935, 1253, 1668, 1234, 1125, 1158, 1878, 1121, 1244, 1313, 4428, 3379, 8532, 1125, 24858, 1237, 13649, 4511, 27942, 119, 1158, 12029, 1125, 3219, 8654, 3031, 1125, 488, 131, 123, 7275, 7921, 121, 2576, 5943, 1125, 24858, 1383, 3794, 2442, 1309, 1125, 3171, 8824, 1473, 1125, 4118, 22012, 15935, 2609, 9080, 1234, 1313, 1207, 8826, 1795, 1623, 1125, 9640, 6441, 16354, 1551, 9994, 462, 1108, 8622, 6484, 27165, 1309, 1158, 3755, 5578, 3031, 1186, 1300, 7095, 1125, 10972, 5146, 16849, 1175, 127, 129, 20306, 116, 1167, 8060, 20040, 1370, 1170, 10972, 31355, 5146, 16849, 1175, 129, 123, 20306, 1576, 1548, 27845, 23150, 1382, 4435, 244, 1207, 8267, 5422, 4083, 1300, 1207, 2658, 1125, 14424, 5007, 2108, 1125, 488, 127, 128, 4826, 2567, 488, 127, 179, 126, 123, 1125, 14424, 4216, 116, 1309, 1300, 1170, 2658, 1125, 2498, 1622, 18131, 5007, 2108, 2567, 488, 128, 179, 126, 123, 1125, 2498, 1576, 3066, 14884, 21426, 244, 1125, 1158, 12934, 1303, 1167, 1207, 14042, 1125, 1971, 1201, 1508, 1906, 1188, 1158, 3869, 1227, 1106, 3599, 119, 1170, 8902, 3277, 1125, 20463, 4053, 1299, 16509, 1188, 1189, 5044, 1125, 3035, 1199, 1227, 27845, 1125, 9933, 121, 2814, 1174, 31724, 1227, 4810, 1242, 1272, 1125, 3790, 1216, 2035, 1348, 15013, 1125, 1158, 24868, 3049, 1121, 1244, 1110, 1256, 12238, 1314, 1318, 6904, 10774, 1227, 10972, 26554, 1175, 124, 123, 123, 7275, 7921, 1256, 488, 131, 123, 16849, 116, 1313, 1158, 8466, 1849, 24890, 17994, 1194, 8321, 2154, 1125, 1158, 5646, 488, 125, 123, 123, 127, 1186, 4444, 15613, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 2120, 2154, 1125, 16647, 1804, 1475, 1141, 1299, 1189, 3283, 9732, 1125, 1158, 5646, 1300, 8317, 1170, 488, 124, 132, 2829, 488, 125, 123, 123, 127, 119, 1188, 488, 220, 239, 1245, 182, 1180, 182, 2433, 1188, 11793, 16647, 1804, 1475, 4277, 1186, 4444, 15613, 121, 4511, 488, 124, 123, 4898, 13359, 1175, 31421, 1496, 1189, 10972, 26554, 5192, 1199, 1125, 12088, 8502, 20355, 1541, 1125, 4105, 4280, 20107, 244, 1186, 1254, 6271, 3254, 180, 15824, 3627, 4089, 4688, 1125, 488, 130, 129, 20306, 1125, 10972, 13462, 1496, 1299, 9665, 1125, 1561, 8401, 1167, 8135, 2170, 1141, 10575, 1313, 1189, 29936, 1124, 6663, 1199, 1186, 3691, 121, 28952, 5192, 1370, 488, 126, 130, 1931, 1193, 2563, 6346, 1256, 1158, 7759, 119, 2079, 1170, 4779, 1125, 15225, 1125, 1248, 4849, 1128, 1145, 1407, 180, 1256, 1197, 11175, 1125, 15225, 1294, 187, 4537, 2576, 2120, 2154, 1299, 1300, 8317, 1300, 1158, 20274, 5277, 488, 127, 7890, 488, 130, 128, 116, 1317, 8030, 1125, 488, 220, 239, 1245, 182, 1180, 182, 3266, 2576, 2120, 2154, 1110, 8946, 6968, 1158, 4541, 1227, 8481, 1929, 1125, 24858, 1237, 1124, 1167, 1125, 488, 125, 125, 1125, 1909, 1931, 1193, 2996, 488, 124, 127, 2905, 15935, 9814, 4413, 1548, 8328, 1125, 13041, 1419, 1125, 6273, 4716, 2385, 1568, 1389, 24858, 1237, 1124, 1110, 3731, 1313, 18305, 2154, 121, 1643, 7759, 1197, 15670, 17937, 2457, 1317, 3013, 1227, 1106, 3599, 1167, 15935, 3316, 1473, 1300, 1170, 5044, 1215, 5259, 10612, 1197, 12088, 8502, 20355, 1541, 1125, 11002, 1313, 3712, 3379, 8532, 1125, 24858, 1237, 13649, 1548, 27845, 1227, 10972, 26554, 1299, 9665, 4761, 184, 1245, 1125, 18305, 2154, 121, 2576, 2120, 2154, 2985, 6403, 244, 1215, 1170, 8899, 11697, 8622, 1622, 18131, 6396, 1968, 2154, 29989, 1162, 10479, 4444, 2621, 116, 2093, 2330, 2548, 4058, 1125, 21804, 18679, 5532, 462, 2120, 2154, 1299, 1300, 8317, 1188, 1158, 3011, 2335, 4810, 1242, 1272, 1227, 4665, 7979, 2874, 1541, 15013, 1125, 1158, 24868, 3049, 1121, 5161, 18747, 1999, 15929, 1221, 5472, 7328, 1982, 11924, 10905, 4096, 1125, 1158, 1878, 1121, 1244, 1125, 1158, 12934, 3798, 21262, 1125, 1982, 13415, 1158, 1878, 1121, 1244, 1300, 1158, 5646, 119, 1170, 27845, 5441, 1382, 4576, 3356, 121, 3066, 1158, 1878, 1121, 1244, 1299, 1906, 18134, 1300, 1158, 5646, 119, 1207, 8574, 17871, 30845, 1188, 1318, 6904, 3077, 5650, 1188, 1197, 1300, 6819, 1104, 1167, 1188, 1158, 12934, 1303, 21426, 1303, 2004, 14367, 4568, 1158, 3591, 1188, 1271, 2603, 4260, 1227, 29184, 1269, 1175, 13454, 2567, 1125, 1158, 1878, 1121, 1244, 1576, 1643, 1878, 1121, 1244, 1110, 18280, 180, 1561, 2478, 1470, 2240, 1300, 1158, 12934, 1303, 21426, 1303, 1186, 20040, 1199, 1227, 5719, 8632, 1227, 5873, 11682, 1469, 1170, 3627, 2567, 1188, 488, 132, 123, 28296, 4413, 3450, 1110, 25911, 8946, 6968, 1170, 4062, 1593, 1300, 1170, 5719, 8632, 1125, 1158, 12934, 1303, 1167, 1110, 15231, 1178, 244, 5775, 1984, 17162, 1237, 1124, 6663, 1199, 1186, 3691, 121, 13802, 1158, 10821, 1227, 20577, 119, 1170, 8407, 4618, 11345, 1593, 2567, 116, 1125, 1158, 1878, 1121, 1244, 1110, 1116, 12374, 1167, 7762, 20355, 1541, 1125, 11002, 1125, 488, 125, 123, 20306, 15935, 1253, 1668, 1234, 1125, 1158, 1878, 1121, 1244, 1313, 4428, 3379, 8532, 1125, 24858, 1237, 13649, 4511, 27942, 119, 1158, 12029, 1125, 3219, 8654, 3031, 1125, 488, 131, 123, 7275, 7921, 121, 2576, 5943, 1125, 24858, 1383, 3794, 2442, 1309, 1125, 3171, 8824, 1473, 1125, 4118, 22012, 15935, 2609, 9080, 1234, 1313, 1207, 8826, 1795, 1623, 1125, 9640, 6441, 16354, 1551, 9994, 462, 1108, 8622, 6484, 27165, 1309, 1158, 3755, 5578, 3031, 1186, 1300, 7095, 1125, 10972, 5146, 16849, 1175, 127, 129, 20306, 116, 1167, 8060, 20040, 1370, 1170, 10972, 31355, 5146, 16849, 1175, 129, 123, 20306, 1576, 1548, 27845, 23150, 1382, 4435, 244, 1207, 8267, 5422, 4083, 1300, 1207, 2658, 1125, 14424, 5007, 2108, 1125, 488, 127, 128, 4826, 2567, 488, 127, 179, 126, 123, 1125, 14424, 4216, 116, 1309, 1300, 1170, 2658, 1125, 2498, 1622, 18131, 5007, 2108, 2567, 488, 128, 179, 126, 123, 1125, 2498, 1576, 3066, 14884, 21426, 244, 1125, 1158, 12934, 1303, 1167, 1207, 14042, 1125, 1971, 1201, 1508, 1906, 1188, 1158, 3869, 1227, 1106, 3599, 119, 1170, 8902, 3277, 1125, 20463, 4053, 1299, 16509, 1188, 1189, 5044, 1125, 3035, 1199, 1227, 27845, 1125, 9933, 121, 2814, 1174, 31724, 1227, 4810, 1242, 1272, 1125, 3790, 1216, 2035, 1348, 15013, 1125, 1158, 24868, 3049, 1121, 1244, 1110, 1256, 12238, 1314, 1318, 6904, 10774, 1227, 10972, 26554, 1175, 124, 123, 123, 7275, 7921, 1256, 488, 131, 123, 16849, 116, 1313, 1158, 8466, 1849, 24890, 17994, 1194, 8321, 2154, 1125, 1158, 5646, 488, 125, 123, 123, 127, 1186, 4444, 15613, 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, 5820, 1125, 1158, 1918, 1245, 1299, 1318, 5820, 1125, 20502, 7745, 1123, 10878, 1167, 8139, 12928, 1123, 17238, 1313, 1170, 12311, 1227, 7358, 1319, 6234, 1816, 5820, 6907, 1630, 1767, 1227, 29703, 1415, 1125, 20502, 20566, 1158, 2320, 1227, 14606, 1188, 1158, 2320, 1227, 19263, 6533, 1313, 1170, 1223, 9957, 1315, 1160, 1197, 20102, 1125, 1158, 4173, 3579, 1214, 1167, 1125, 6760, 175, 1145, 121, 3450, 1299, 1169, 19384, 1148, 1300, 1594, 5719, 8030, 1215, 1158, 5820, 1227, 22375, 2982, 1167, 1300, 1594, 5719, 7758, 1215, 1170, 9251, 1233, 6559, 28050, 1158, 5820, 13894, 3926, 1150, 1757, 1167, 1158, 5820, 3859, 2094, 121, 3450, 1299, 1685, 1401, 2042, 119, 20958, 2806, 1167, 1844, 3247, 1227, 6485, 6907, 1630, 31628, 1227, 7358, 1319, 1242, 1388, 17696, 1314, 1227, 1874, 10791, 1874, 1125, 1158, 5820, 1844, 6891, 1188, 1158, 16535, 1125, 1158, 1918, 1245, 1357, 4715, 1158, 14789, 1805, 1120, 1647, 1197, 21863, 7962, 186, 2687, 9388, 2097, 2714, 21090, 20020, 1227, 488, 129, 1317, 6749, 147, 15376, 12928, 3015, 7071, 1415, 1204, 1488, 1109, 3174, 1158, 5820, 1299, 2205, 16402, 2648, 31249, 25005, 20045, 3702, 2435, 2519, 16402, 8401, 8605, 2100, 1357, 11102, 4460, 5178, 1108, 488, 124, 127, 132, 127, 119, 2442, 1309, 1158, 5820, 1125, 6760, 175, 24685, 1606, 5820, 1125, 1158, 1539, 8034, 1303, 1524, 2567, 1125, 4110, 1215, 1158, 3011, 1170, 1874, 1125, 1606, 11961, 18259, 3133, 2648, 1125, 1606, 1233, 2139, 5264, 189, 2163, 5445, 1277, 1524, 12258, 3495, 1370, 1189, 4170, 3285, 11739, 119, 1170, 1606, 1177, 9895, 1334, 1197, 3091, 1623, 3133, 1357, 21852, 1370, 22010, 1450, 2757, 1207, 25180, 3051, 1125, 3281, 14034, 1256, 1281, 1225, 3030, 1313, 5613, 9710, 1112, 1317, 4041, 1227, 19430, 1129, 1197, 3091, 1623, 31265, 488, 124, 130, 125, 124, 1188, 488, 124, 130, 130, 124, 119, 1158, 5820, 3031, 2227, 3280, 1186, 5031, 121, 3450, 3031, 1995, 1754, 25047, 1309, 13625, 1145, 1734, 3740, 5650, 1318, 2131, 2360, 1148, 1362, 3419, 8897, 1251, 1931, 15801, 1207, 6907, 1630, 1376, 2077, 25536, 1197, 8323, 1155, 10791, 5809, 17023, 2435, 2125, 17321, 1594, 1874, 18183, 1170, 1859, 1186, 1497, 2035, 4078, 1125, 1158, 3453, 16535, 1125, 1158, 1918, 1245, 8273, 2119, 1186, 488, 124, 131, 129, 130, 119, 1317, 488, 124, 123, 123, 1125, 1158, 1177, 3955, 10440, 16357, 13503, 30530, 1125, 4151, 21687, 26045, 3926, 1234, 1124, 7495, 24914, 22562, 8826, 2165, 1408, 15906, 1188, 1266, 16784, 20293, 1189, 1138, 1992, 13649, 2769, 4283, 1125, 1282, 2285, 4819, 1170, 1606, 14084, 7495, 1568, 1524, 7354, 1170, 7774, 7252, 18400, 1313, 1158, 5820, 121, 1653, 488, 124, 132, 126, 124, 119, 1207, 7495, 1568, 18504, 1136, 3310, 3295, 5820, 1125, 1158, 1918, 6664, 1440, 1357, 1299, 3042, 1170, 1408, 3283, 14084, 6348, 1136, 10463, 4615, 3356, 1215, 1207, 11941, 1104, 14363, 1173, 4363, 3301, 7422, 20190, 3984, 187, 1655, 1107, 1167, 8179, 1252, 3992, 3502, 2576, 26843, 12405, 12262, 10600, 1754, 1741, 1125, 14248, 1167, 12321, 4280, 1357, 10256, 1129, 2069, 5159, 4886, 1318, 18149, 119, 1189, 14123, 1125, 22492, 3988, 1318, 7624, 1125, 9452, 1125, 488, 127, 123, 123, 5039, 1346, 1189, 12103, 1125, 1557, 4587, 22325, 1318, 16161, 1125, 3831, 6523, 1189, 8899, 1125, 1601, 3212, 4892, 26653, 22542, 2165, 1408, 14429, 7542, 1158, 9640, 12507, 27213, 1170, 14084, 1299, 12462, 30633, 1215, 1207, 13513, 6364, 1525, 1227, 1939, 1653, 488, 124, 132, 127, 130, 119, 1207, 5031, 1125, 26735, 6475, 3310, 1167, 1318, 3453, 1367, 3383, 1299, 15425, 4593, 5305, 2574, 1256, 11823, 2750, 1170, 13513, 6364, 1160, 1131, 12690, 1155, 1424, 17971, 29946, 22010, 6909, 18717, 5820, 6907, 1630, 1767, 1186, 488, 125, 123, 124, 125, 119, 1299, 3295, 2072, 29860, 7352, 1469, 1207, 22334, 7495, 1568, 15695, 1153, 9855, 1227, 9650, 7494, 5319, 1643, 177, 1242, 1567, 9663, 237, 1117, 1525, 16970, 2234, 1167, 8936, 1125, 10005, 1424, 2576, 9306, 14084, 7495, 1568, 1281, 13301, 1835, 1158, 5820, 1227, 22375, 1109, 1167, 1158, 2320, 1227, 19263, 6533, 1155, 8637, 1207, 488, 1281, 5209, 24570, 8030, 1227, 9251, 1233, 6559, 3595, 1357, 2856, 1125, 12533, 1158, 5820, 1125, 1158, 1321, 1670, 1263, 1214, 1155, 3767, 488, 125, 130, 119, 1282, 1129, 1312, 1172, 2519, 5551, 1278, 1125, 14084, 1110, 5416, 244, 1594, 7074, 14994, 1257, 1318, 18334, 5363, 1244, 8642, 1277, 1167, 29463, 24454, 1606, 1808, 10213, 1731, 8185, 1139, 1199, 1298, 1346, 1539, 121, 1233, 2562, 192, 1524, 15633, 1186, 488, 124, 132, 126, 123, 1215, 1170, 18334, 5363, 17388, 1177, 2334, 1298, 3122, 1176, 1345, 24354, 1121, 1146, 2086, 1313, 1170, 3838, 5814, 1805, 2181, 6053, 1186, 5662, 1313, 1816, 16402, 1776, 3389, 1214, 1309, 10399, 1146, 1374, 8179, 1233, 2562, 192, 2180, 172, 1186, 488, 124, 132, 123, 125, 1816, 3897, 1265, 1439, 1408, 1111, 1987, 1309, 1170, 20266, 5006, 1190, 1139, 1199, 21194, 1653, 488, 124, 132, 130, 127, 119, 1158, 11340, 1110, 3175, 1538, 18087, 2081, 7477, 1125, 4410, 1317, 488, 131, 130, 1125, 1158, 5820, 1125, 6760, 175, 1145, 30039, 2072, 17994, 1424, 6749, 6749, 10026, 11052, 2093, 12253, 1197, 18122, 1125, 20502, 106, 12253, 1197, 19574, 17104, 1125, 20502, 106, 14124, 1125, 20502, 9323, 1167, 5474, 2093, 161, 8103, 1313, 1170, 29703, 1415, 1125, 20502, 1628, 1168, 1836, 15728, 1379, 244, 1125, 20502, 2073, 8103, 6907, 1630, 1396, 1774, 1188, 20502, 3052, 175, 10329, 1281, 10250, 1199, 1188, 1318, 16535, 32001, 1424, 32000, 20036, 2895, 5820, 1125, 1158, 1918, 1245, 1299, 1318, 5820, 1125, 20502, 7745, 1123, 10878, 1167, 8139, 12928, 1123, 17238, 1313, 1170, 12311, 1227, 7358, 1319, 6234, 1816, 5820, 6907, 1630, 1767, 1227, 29703, 1415, 1125, 20502, 20566, 1158, 2320, 1227, 14606, 1188, 1158, 2320, 1227, 19263, 6533, 1313, 1170, 1223, 9957, 1315, 1160, 1197, 20102, 1125, 1158, 4173, 3579, 1214, 1167, 1125, 6760, 175, 1145, 121, 3450, 1299, 1169, 19384, 1148, 1300, 1594, 5719, 8030, 1215, 1158, 5820, 1227, 22375, 2982, 1167, 1300, 1594, 5719, 7758, 1215, 1170, 9251, 1233, 6559, 28050, 1158, 5820, 13894, 3926, 1150, 1757, 1167, 1158, 5820, 3859, 2094, 121, 3450, 1299, 1685, 1401, 2042, 119, 20958, 2806, 1167, 1844, 3247, 1227, 6485, 6907, 1630, 31628, 1227, 7358, 1319, 1242, 1388, 17696, 1314, 1227, 1874, 10791, 1874, 1125, 1158, 5820, 1844, 6891, 1188, 1158, 16535, 1125, 1158, 1918, 1245, 1357, 4715, 1158, 14789, 1805, 1120, 1647, 1197, 21863, 7962, 186, 2687, 9388, 2097, 2714, 21090, 20020, 1227, 488, 129, 1317, 6749, 147, 15376, 12928, 3015, 7071, 1415, 1204, 1488, 1109, 3174, 1158, 5820, 1299, 2205, 16402, 2648, 31249, 25005, 20045, 3702, 2435, 2519, 16402, 8401, 8605, 2100, 1357, 11102, 4460, 5178, 1108, 488, 124, 127, 132, 127, 119, 2442, 1309, 1158, 5820, 1125, 6760, 175, 24685, 1606, 5820, 1125, 1158, 1539, 8034, 1303, 1524, 2567, 1125, 4110, 1215, 1158, 3011, 1170, 1874, 1125, 1606, 11961, 18259, 3133, 2648, 1125, 1606, 1233, 2139, 5264, 189, 2163, 5445, 1277, 1524, 12258, 3495, 1370, 1189, 4170, 3285, 11739, 119, 1170, 1606, 1177, 9895, 1334, 1197, 3091, 1623, 3133, 1357, 21852, 1370, 22010, 1450, 2757, 1207, 25180, 3051, 1125, 3281, 14034, 1256, 1281, 1225, 3030, 1313, 5613, 9710, 1112, 1317, 4041, 1227, 19430, 1129, 1197, 3091, 1623, 31265, 488, 124, 130, 125, 124, 1188, 488, 124, 130, 130, 124, 119, 1158, 5820, 3031, 2227, 3280, 1186, 5031, 121, 3450, 3031, 1995, 1754, 25047, 1309, 13625, 1145, 1734, 3740, 5650, 1318, 2131, 2360, 1148, 1362, 3419, 8897, 1251, 1931, 15801, 1207, 6907, 1630, 1376, 2077, 25536, 1197, 8323, 1155, 10791, 5809, 17023, 2435, 2125, 17321, 1594, 1874, 18183, 1170, 1859, 1186, 1497, 2035, 4078, 1125, 1158, 3453, 16535, 1125, 1158, 1918, 1245, 8273, 2119, 1186, 488, 124, 131, 129, 130, 119, 1317, 488, 124, 123, 123, 1125, 1158, 1177, 3955, 10440, 16357, 13503, 30530, 1125, 4151, 21687, 26045, 3926, 1234, 1124, 7495, 24914, 22562, 8826, 2165, 1408, 15906, 1188, 1266, 16784, 20293, 1189, 1138, 1992, 13649, 2769, 4283, 1125, 1282, 2285, 4819, 1170, 1606, 14084, 7495, 1568, 1524, 7354, 1170, 7774, 7252, 18400, 1313, 1158, 5820, 121, 1653, 488, 124, 132, 126, 124, 119, 1207, 7495, 1568, 18504, 1136, 3310, 3295, 5820, 1125, 1158, 1918, 6664, 1440, 1357, 1299, 3042, 1170, 1408, 3283, 14084, 6348, 1136, 10463, 4615, 3356, 1215, 1207, 11941, 1104, 14363, 1173, 4363, 3301, 7422, 20190, 3984, 187, 1655, 1107, 1167, 8179, 1252, 3992, 3502, 2576, 26843, 12405, 12262, 10600, 1754, 1741, 1125, 14248, 1167, 12321, 4280, 1357, 10256, 1129, 2069, 5159, 4886, 1318, 18149, 119, 1189, 14123, 1125, 22492, 3988, 1318, 7624, 1125, 9452, 1125, 488, 127, 123, 123, 5039, 1346, 1189, 12103, 1125, 1557, 4587, 22325, 1318, 16161, 1125, 3831, 6523, 1189, 8899, 1125, 1601, 3212, 4892, 26653, 22542, 2165, 1408, 14429, 7542, 1158, 9640, 12507, 27213, 1170, 14084, 1299, 12462, 30633, 1215, 1207, 13513, 6364, 1525, 1227, 1939, 1653, 488, 124, 132, 127, 130, 119, 1207, 5031, 1125, 26735, 6475, 3310, 1167, 1318, 3453, 1367, 3383, 1299, 15425, 4593, 5305, 2574, 1256, 11823, 2750, 1170, 13513, 6364, 1160, 1131, 12690, 1155, 1424, 17971, 29946, 22010, 6909, 18717, 5820, 6907, 1630, 1767, 1186, 488, 125, 123, 124, 125, 119, 1299, 3295, 2072, 29860, 7352, 1469, 1207, 22334, 7495, 1568, 15695, 1153, 9855, 1227, 9650, 7494, 5319, 1643, 177, 1242, 1567, 9663, 237, 1117, 1525, 16970, 2234, 1167, 8936, 1125, 10005, 1424, 2576, 9306, 14084, 7495, 1568, 1281, 13301, 1835, 1158, 5820, 1227, 22375, 1109, 1167, 1158, 2320, 1227, 19263, 6533, 1155, 8637, 1207, 488, 1281, 5209, 24570, 8030, 1227, 9251, 1233, 6559, 3595, 1357, 2856, 1125, 12533, 1158, 5820, 1125, 1158, 1321, 1670, 1263, 1214, 1155, 3767, 488, 125, 130, 119, 1282, 1129, 1312, 1172, 2519, 5551, 1278, 1125, 14084, 1110, 5416, 244, 1594, 7074, 14994, 1257, 1318, 18334, 5363, 1244, 8642, 1277, 1167, 29463, 24454, 1606, 1808, 10213, 1731, 8185, 1139, 1199, 1298, 1346, 1539, 121, 1233, 2562, 192, 1524, 15633, 1186, 488, 124, 132, 126, 123, 1215, 1170, 18334, 5363, 17388, 1177, 2334, 1298, 3122, 1176, 1345, 24354, 1121, 1146, 2086, 1313, 1170, 3838, 5814, 1805, 2181, 6053, 1186, 5662, 1313, 1816, 16402, 1776, 3389, 1214, 1309, 10399, 1146, 1374, 8179, 1233, 2562, 192, 2180, 172, 1186, 488, 124, 132, 123, 125, 1816, 3897, 1265, 1439, 1408, 1111, 1987, 1309, 1170, 20266, 5006, 1190, 1139, 1199, 21194, 1653, 488, 124, 132, 130, 127, 119, 1158, 11340, 1110, 3175, 1538, 18087, 2081, 7477, 1125, 4410, 1317, 488, 131, 130, 1125, 1158, 5820, 1125, 6760, 175, 1145, 30039, 2072, 17994, 1424, 6749, 6749, 10026, 11052, 2093, 12253, 1197, 18122, 1125, 20502, 106, 12253, 1197, 19574, 17104, 1125, 20502, 106, 14124, 1125, 20502, 9323, 1167, 5474, 2093, 161, 8103, 1313, 1170, 29703, 1415, 1125, 20502, 1628, 1168, 1836, 15728, 1379, 244, 1125, 20502, 2073, 8103, 6907, 1630, 1396, 1774, 1188, 20502, 3052, 175, 10329, 1281, 10250, 1199, 1188, 1318, 16535, 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, 2895, 5820, 1125, 1158, 1918, 1245, 1299, 1318, 5820, 1125, 20502, 7745, 1123, 10878, 1167, 8139, 12928, 1123, 17238, 1313, 1170, 12311, 1227, 7358, 1319, 6234, 1816, 5820, 6907, 1630, 1767, 1227, 29703, 1415, 1125, 20502, 20566, 1158, 2320, 1227, 14606, 1188, 1158, 2320, 1227, 19263, 6533, 1313, 1170, 1223, 9957, 1315, 1160, 1197, 20102, 1125, 1158, 4173, 3579, 1214, 1167, 1125, 6760, 175, 1145, 121, 3450, 1299, 1169, 19384, 1148, 1300, 1594, 5719, 8030, 1215, 1158, 5820, 1227, 22375, 2982, 1167, 1300, 1594, 5719, 7758, 1215, 1170, 9251, 1233, 6559, 28050, 1158, 5820, 13894, 3926, 1150, 1757, 1167, 1158, 5820, 3859, 2094, 121, 3450, 1299, 1685, 1401, 2042, 119, 20958, 2806, 1167, 1844, 3247, 1227, 6485, 6907, 1630, 31628, 1227, 7358, 1319, 1242, 1388, 17696, 1314, 1227, 1874, 10791, 1874, 1125, 1158, 5820, 1844, 6891, 1188, 1158, 16535, 1125, 1158, 1918, 1245, 1357, 4715, 1158, 14789, 1805, 1120, 1647, 1197, 21863, 7962, 186, 2687, 9388, 2097, 2714, 21090, 20020, 1227, 488, 129, 1317, 6749, 147, 15376, 12928, 3015, 7071, 1415, 1204, 1488, 1109, 3174, 1158, 5820, 1299, 2205, 16402, 2648, 31249, 25005, 20045, 3702, 2435, 2519, 16402, 8401, 8605, 2100, 1357, 11102, 4460, 5178, 1108, 488, 124, 127, 132, 127, 119, 2442, 1309, 1158, 5820, 1125, 6760, 175, 24685, 1606, 5820, 1125, 1158, 1539, 8034, 1303, 1524, 2567, 1125, 4110, 1215, 1158, 3011, 1170, 1874, 1125, 1606, 11961, 18259, 3133, 2648, 1125, 1606, 1233, 2139, 5264, 189, 2163, 5445, 1277, 1524, 12258, 3495, 1370, 1189, 4170, 3285, 11739, 119, 1170, 1606, 1177, 9895, 1334, 1197, 3091, 1623, 3133, 1357, 21852, 1370, 22010, 1450, 2757, 1207, 25180, 3051, 1125, 3281, 14034, 1256, 1281, 1225, 3030, 1313, 5613, 9710, 1112, 1317, 4041, 1227, 19430, 1129, 1197, 3091, 1623, 31265, 488, 124, 130, 125, 124, 1188, 488, 124, 130, 130, 124, 119, 1158, 5820, 3031, 2227, 3280, 1186, 5031, 121, 3450, 3031, 1995, 1754, 25047, 1309, 13625, 1145, 1734, 3740, 5650, 1318, 2131, 2360, 1148, 1362, 3419, 8897, 1251, 1931, 15801, 1207, 6907, 1630, 1376, 2077, 25536, 1197, 8323, 1155, 10791, 5809, 17023, 2435, 2125, 17321, 1594, 1874, 18183, 1170, 1859, 1186, 1497, 2035, 4078, 1125, 1158, 3453, 16535, 1125, 1158, 1918, 1245, 8273, 2119, 1186, 488, 124, 131, 129, 130, 119, 1317, 488, 124, 123, 123, 1125, 1158, 1177, 3955, 10440, 16357, 13503, 30530, 1125, 4151, 21687, 26045, 3926, 1234, 1124, 7495, 24914, 22562, 8826, 2165, 1408, 15906, 1188, 1266, 16784, 20293, 1189, 1138, 1992, 13649, 2769, 4283, 1125, 1282, 2285, 4819, 1170, 1606, 14084, 7495, 1568, 1524, 7354, 1170, 7774, 7252, 18400, 1313, 1158, 5820, 121, 1653, 488, 124, 132, 126, 124, 119, 1207, 7495, 1568, 18504, 1136, 3310, 3295, 5820, 1125, 1158, 1918, 6664, 1440, 1357, 1299, 3042, 1170, 1408, 3283, 14084, 6348, 1136, 10463, 4615, 3356, 1215, 1207, 11941, 1104, 14363, 1173, 4363, 3301, 7422, 20190, 3984, 187, 1655, 1107, 1167, 8179, 1252, 3992, 3502, 2576, 26843, 12405, 12262, 10600, 1754, 1741, 1125, 14248, 1167, 12321, 4280, 1357, 10256, 1129, 2069, 5159, 4886, 1318, 18149, 119, 1189, 14123, 1125, 22492, 3988, 1318, 7624, 1125, 9452, 1125, 488, 127, 123, 123, 5039, 1346, 1189, 12103, 1125, 1557, 4587, 22325, 1318, 16161, 1125, 3831, 6523, 1189, 8899, 1125, 1601, 3212, 4892, 26653, 22542, 2165, 1408, 14429, 7542, 1158, 9640, 12507, 27213, 1170, 14084, 1299, 12462, 30633, 1215, 1207, 13513, 6364, 1525, 1227, 1939, 1653, 488, 124, 132, 127, 130, 119, 1207, 5031, 1125, 26735, 6475, 3310, 1167, 1318, 3453, 1367, 3383, 1299, 15425, 4593, 5305, 2574, 1256, 11823, 2750, 1170, 13513, 6364, 1160, 1131, 12690, 1155, 1424, 17971, 29946, 22010, 6909, 18717, 5820, 6907, 1630, 1767, 1186, 488, 125, 123, 124, 125, 119, 1299, 3295, 2072, 29860, 7352, 1469, 1207, 22334, 7495, 1568, 15695, 1153, 9855, 1227, 9650, 7494, 5319, 1643, 177, 1242, 1567, 9663, 237, 1117, 1525, 16970, 2234, 1167, 8936, 1125, 10005, 1424, 2576, 9306, 14084, 7495, 1568, 1281, 13301, 1835, 1158, 5820, 1227, 22375, 1109, 1167, 1158, 2320, 1227, 19263, 6533, 1155, 8637, 1207, 488, 1281, 5209, 24570, 8030, 1227, 9251, 1233, 6559, 3595, 1357, 2856, 1125, 12533, 1158, 5820, 1125, 1158, 1321, 1670, 1263, 1214, 1155, 3767, 488, 125, 130, 119, 1282, 1129, 1312, 1172, 2519, 5551, 1278, 1125, 14084, 1110, 5416, 244, 1594, 7074, 14994, 1257, 1318, 18334, 5363, 1244, 8642, 1277, 1167, 29463, 24454, 1606, 1808, 10213, 1731, 8185, 1139, 1199, 1298, 1346, 1539, 121, 1233, 2562, 192, 1524, 15633, 1186, 488, 124, 132, 126, 123, 1215, 1170, 18334, 5363, 17388, 1177, 2334, 1298, 3122, 1176, 1345, 24354, 1121, 1146, 2086, 1313, 1170, 3838, 5814, 1805, 2181, 6053, 1186, 5662, 1313, 1816, 16402, 1776, 3389, 1214, 1309, 10399, 1146, 1374, 8179, 1233, 2562, 192, 2180, 172, 1186, 488, 124, 132, 123, 125, 1816, 3897, 1265, 1439, 1408, 1111, 1987, 1309, 1170, 20266, 5006, 1190, 1139, 1199, 21194, 1653, 488, 124, 132, 130, 127, 119, 1158, 11340, 1110, 3175, 1538, 18087, 2081, 7477, 1125, 4410, 1317, 488, 131, 130, 1125, 1158, 5820, 1125, 6760, 175, 1145, 30039, 2072, 17994, 1424, 6749, 6749, 10026, 11052, 2093, 12253, 1197, 18122, 1125, 20502, 106, 12253, 1197, 19574, 17104, 1125, 20502, 106, 14124, 1125, 20502, 9323, 1167, 5474, 2093, 161, 8103, 1313, 1170, 29703, 1415, 1125, 20502, 1628, 1168, 1836, 15728, 1379, 244, 1125, 20502, 2073, 8103, 6907, 1630, 1396, 1774, 1188, 20502, 3052, 175, 10329, 1281, 10250, 1199, 1188, 1318, 16535, 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, 1124, 1172, 1804, 172, 1299, 1318, 3837, 1227, 10750, 1125, 1352, 2642, 248, 6037, 1313, 1158, 3734, 1125, 2397, 183, 248, 6037, 1186, 19933, 2603, 4654, 6280, 5740, 2368, 244, 2995, 1370, 1188, 488, 125, 488, 128, 123, 123, 11411, 1186, 488, 125, 123, 125, 123, 29830, 1424, 150, 1124, 1172, 1804, 172, 1281, 5209, 1313, 1158, 22119, 1125, 1158, 17451, 1352, 2642, 27060, 5005, 236, 3032, 269, 193, 1810, 5639, 1125, 1158, 23139, 1469, 1158, 25350, 8297, 4654, 3450, 1299, 10019, 1188, 488, 131, 7275, 1188, 21204, 1125, 1352, 2642, 2982, 1188, 488, 125, 128, 7275, 1317, 20449, 1182, 1125, 2397, 183, 248, 6037, 1188, 488, 132, 123, 7275, 1188, 21204, 3243, 1404, 120, 1182, 1125, 3261, 5022, 1167, 1188, 488, 125, 132, 123, 7275, 1188, 21204, 2059, 1506, 120, 1182, 1125, 1202, 3074, 1277, 1388, 150, 1124, 1172, 1804, 172, 1299, 21734, 1215, 21740, 2011, 12210, 3441, 1172, 1119, 1168, 1317, 8030, 119, 1215, 26099, 182, 244, 9161, 25756, 1443, 1188, 1282, 7965, 1215, 1158, 25350, 8297, 1214, 1317, 7758, 1167, 1215, 8929, 263, 1306, 1150, 7641, 28962, 1188, 29487, 20481, 18604, 488, 124, 131, 129, 124, 120, 124, 131, 129, 125, 119, 1318, 2824, 189, 4054, 1299, 16512, 5639, 1227, 7130, 1125, 8929, 263, 1306, 1150, 7641, 182, 23640, 1215, 5308, 29185, 1863, 29482, 1357, 2435, 5714, 1170, 1874, 1125, 1561, 7031, 2010, 1450, 1257, 10325, 4994, 1653, 488, 124, 132, 127, 132, 119, 1170, 12311, 1125, 1158, 2824, 189, 4054, 1299, 11660, 244, 1125, 1158, 4813, 1125, 8929, 263, 1306, 1150, 7641, 28962, 1167, 14882, 1186, 488, 124, 132, 128, 124, 1170, 1874, 1125, 9161, 1172, 1804, 172, 11488, 1167, 5474, 2093, 161, 1415, 1313, 1158, 3734, 1125, 2397, 183, 27060, 24940, 1515, 1313, 1170, 10750, 1125, 1352, 2642, 27060, 32001, 1424, 32000, 20036, 6975, 1124, 1172, 1804, 172, 1299, 1318, 3837, 1227, 10750, 1125, 1352, 2642, 248, 6037, 1313, 1158, 3734, 1125, 2397, 183, 248, 6037, 1186, 19933, 2603, 4654, 6280, 5740, 2368, 244, 2995, 1370, 1188, 488, 125, 488, 128, 123, 123, 11411, 1186, 488, 125, 123, 125, 123, 29830, 1424, 150, 1124, 1172, 1804, 172, 1281, 5209, 1313, 1158, 22119, 1125, 1158, 17451, 1352, 2642, 27060, 5005, 236, 3032, 269, 193, 1810, 5639, 1125, 1158, 23139, 1469, 1158, 25350, 8297, 4654, 3450, 1299, 10019, 1188, 488, 131, 7275, 1188, 21204, 1125, 1352, 2642, 2982, 1188, 488, 125, 128, 7275, 1317, 20449, 1182, 1125, 2397, 183, 248, 6037, 1188, 488, 132, 123, 7275, 1188, 21204, 3243, 1404, 120, 1182, 1125, 3261, 5022, 1167, 1188, 488, 125, 132, 123, 7275, 1188, 21204, 2059, 1506, 120, 1182, 1125, 1202, 3074, 1277, 1388, 150, 1124, 1172, 1804, 172, 1299, 21734, 1215, 21740, 2011, 12210, 3441, 1172, 1119, 1168, 1317, 8030, 119, 1215, 26099, 182, 244, 9161, 25756, 1443, 1188, 1282, 7965, 1215, 1158, 25350, 8297, 1214, 1317, 7758, 1167, 1215, 8929, 263, 1306, 1150, 7641, 28962, 1188, 29487, 20481, 18604, 488, 124, 131, 129, 124, 120, 124, 131, 129, 125, 119, 1318, 2824, 189, 4054, 1299, 16512, 5639, 1227, 7130, 1125, 8929, 263, 1306, 1150, 7641, 182, 23640, 1215, 5308, 29185, 1863, 29482, 1357, 2435, 5714, 1170, 1874, 1125, 1561, 7031, 2010, 1450, 1257, 10325, 4994, 1653, 488, 124, 132, 127, 132, 119, 1170, 12311, 1125, 1158, 2824, 189, 4054, 1299, 11660, 244, 1125, 1158, 4813, 1125, 8929, 263, 1306, 1150, 7641, 28962, 1167, 14882, 1186, 488, 124, 132, 128, 124, 1170, 1874, 1125, 9161, 1172, 1804, 172, 11488, 1167, 5474, 2093, 161, 1415, 1313, 1158, 3734, 1125, 2397, 183, 27060, 24940, 1515, 1313, 1170, 10750, 1125, 1352, 2642, 27060, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1124, 1172, 1804, 172, 1299, 1318, 3837, 1227, 10750, 1125, 1352, 2642, 248, 6037, 1313, 1158, 3734, 1125, 2397, 183, 248, 6037, 1186, 19933, 2603, 4654, 6280, 5740, 2368, 244, 2995, 1370, 1188, 488, 125, 488, 128, 123, 123, 11411, 1186, 488, 125, 123, 125, 123, 29830, 1424, 150, 1124, 1172, 1804, 172, 1281, 5209, 1313, 1158, 22119, 1125, 1158, 17451, 1352, 2642, 27060, 5005, 236, 3032, 269, 193, 1810, 5639, 1125, 1158, 23139, 1469, 1158, 25350, 8297, 4654, 3450, 1299, 10019, 1188, 488, 131, 7275, 1188, 21204, 1125, 1352, 2642, 2982, 1188, 488, 125, 128, 7275, 1317, 20449, 1182, 1125, 2397, 183, 248, 6037, 1188, 488, 132, 123, 7275, 1188, 21204, 3243, 1404, 120, 1182, 1125, 3261, 5022, 1167, 1188, 488, 125, 132, 123, 7275, 1188, 21204, 2059, 1506, 120, 1182, 1125, 1202, 3074, 1277, 1388, 150, 1124, 1172, 1804, 172, 1299, 21734, 1215, 21740, 2011, 12210, 3441, 1172, 1119, 1168, 1317, 8030, 119, 1215, 26099, 182, 244, 9161, 25756, 1443, 1188, 1282, 7965, 1215, 1158, 25350, 8297, 1214, 1317, 7758, 1167, 1215, 8929, 263, 1306, 1150, 7641, 28962, 1188, 29487, 20481, 18604, 488, 124, 131, 129, 124, 120, 124, 131, 129, 125, 119, 1318, 2824, 189, 4054, 1299, 16512, 5639, 1227, 7130, 1125, 8929, 263, 1306, 1150, 7641, 182, 23640, 1215, 5308, 29185, 1863, 29482, 1357, 2435, 5714, 1170, 1874, 1125, 1561, 7031, 2010, 1450, 1257, 10325, 4994, 1653, 488, 124, 132, 127, 132, 119, 1170, 12311, 1125, 1158, 2824, 189, 4054, 1299, 11660, 244, 1125, 1158, 4813, 1125, 8929, 263, 1306, 1150, 7641, 28962, 1167, 14882, 1186, 488, 124, 132, 128, 124, 1170, 1874, 1125, 9161, 1172, 1804, 172, 11488, 1167, 5474, 2093, 161, 1415, 1313, 1158, 3734, 1125, 2397, 183, 27060, 24940, 1515, 1313, 1170, 10750, 1125, 1352, 2642, 27060, 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, 2951, 1132, 1137, 1120, 1299, 1189, 7433, 1125, 2669, 1502, 1183, 1234, 1805, 1301, 3524, 1125, 1158, 4446, 1197, 1200, 1284, 1259, 19609, 9994, 2038, 1304, 4870, 243, 1887, 12928, 3015, 1509, 14944, 122, 2663, 122, 2021, 1512, 1136, 168, 8623, 158, 3015, 1509, 14944, 122, 2663, 122, 2021, 1512, 1136, 168, 2232, 1778, 1132, 1137, 1120, 1138, 8761, 1148, 6526, 5807, 1479, 1201, 2114, 488, 124, 132, 131, 131, 488, 466, 106, 1778, 1132, 1137, 1120, 1138, 1542, 1374, 180, 21586, 2765, 488, 124, 132, 123, 131, 106, 1778, 1132, 1137, 1120, 16620, 1462, 1120, 1539, 19650, 488, 124, 132, 126, 132, 106, 1778, 1132, 1137, 1120, 7251, 1451, 29701, 1252, 14704, 1712, 6037, 488, 124, 132, 132, 131, 488, 466, 106, 1778, 1132, 1137, 1120, 8844, 1205, 4735, 1254, 1412, 2395, 4780, 488, 124, 132, 130, 129, 106, 1778, 1132, 1137, 1120, 2731, 3303, 1867, 12805, 3100, 488, 124, 131, 127, 127, 488, 466, 106, 1778, 1132, 1137, 1120, 2102, 28685, 1252, 2012, 2114, 488, 124, 131, 132, 126, 106, 1778, 1132, 1137, 1120, 1618, 3161, 180, 7747, 10882, 7451, 1285, 9207, 6427, 11040, 119, 1673, 26125, 2086, 488, 125, 123, 123, 123, 106, 1778, 1132, 1137, 1120, 7707, 2011, 187, 3382, 9845, 121, 12209, 6507, 1156, 1993, 119, 488, 124, 131, 132, 128, 1260, 1778, 1132, 1137, 1120, 17417, 2496, 172, 1173, 1569, 15862, 488, 124, 132, 130, 131, 106, 1778, 1132, 1137, 1120, 1747, 3303, 172, 5807, 1479, 1201, 2114, 488, 124, 132, 132, 125, 488, 466, 106, 1778, 1132, 1137, 1120, 1281, 1193, 189, 2694, 1254, 1412, 2395, 4780, 488, 124, 132, 130, 129, 106, 1778, 1132, 1137, 1120, 2824, 25024, 180, 9845, 121, 12209, 6507, 1156, 1993, 119, 488, 124, 131, 132, 128, 1718, 158, 3015, 1509, 14944, 122, 2663, 122, 2021, 1512, 1136, 168, 2232, 1778, 1132, 1137, 1120, 1138, 1542, 1374, 180, 21586, 2765, 488, 124, 132, 123, 131, 106, 1778, 1132, 1137, 1120, 16620, 1462, 1120, 1539, 19650, 488, 124, 132, 126, 132, 106, 1778, 1132, 1137, 1120, 8844, 1205, 4735, 1254, 1412, 2395, 4780, 488, 124, 132, 130, 129, 106, 1778, 1132, 1137, 1120, 2102, 28685, 1252, 2012, 2114, 488, 124, 131, 132, 126, 106, 1778, 1132, 1137, 1120, 1618, 3161, 180, 7747, 10882, 7451, 1285, 9207, 6427, 11040, 119, 1673, 26125, 2086, 488, 125, 123, 123, 123, 106, 1778, 1132, 1137, 1120, 7707, 2011, 187, 3382, 9845, 121, 12209, 6507, 1156, 1993, 119, 488, 124, 131, 132, 128, 1260, 1778, 1132, 1137, 1120, 17417, 2496, 172, 1173, 1569, 15862, 488, 124, 132, 130, 131, 106, 1778, 1132, 1137, 1120, 1281, 1193, 189, 2694, 1254, 1412, 2395, 4780, 488, 124, 132, 130, 129, 106, 1778, 1132, 1137, 1120, 2824, 25024, 180, 9845, 121, 12209, 6507, 1156, 1993, 119, 488, 124, 131, 132, 128, 1718, 158, 3015, 1509, 14944, 122, 2663, 122, 2021, 1512, 1136, 168, 2232, 1778, 1132, 1137, 1120, 1138, 8761, 1148, 6526, 106, 1778, 1132, 1137, 1120, 7251, 1451, 29701, 106, 1778, 1132, 1137, 1120, 2731, 3303, 106, 1778, 1132, 1137, 1120, 1747, 3303, 172, 11934, 3015, 1509, 14944, 122, 2663, 122, 2021, 1512, 1136, 168, 1257, 9323, 1167, 16828, 5825, 2093, 1424, 1424, 1424, 1424, 1424, 2093, 151, 1284, 1259, 19609, 2911, 1108, 1112, 1125, 1805, 1301, 3524, 29610, 11246, 116, 114, 32001, 1424, 32000, 20036, 24623, 2951, 1132, 1137, 1120, 1299, 1189, 7433, 1125, 2669, 1502, 1183, 1234, 1805, 1301, 3524, 1125, 1158, 4446, 1197, 1200, 1284, 1259, 19609, 9994, 2038, 1304, 4870, 243, 1887, 12928, 3015, 1509, 14944, 122, 2663, 122, 2021, 1512, 1136, 168, 8623, 158, 3015, 1509, 14944, 122, 2663, 122, 2021, 1512, 1136, 168, 2232, 1778, 1132, 1137, 1120, 1138, 8761, 1148, 6526, 5807, 1479, 1201, 2114, 488, 124, 132, 131, 131, 488, 466, 106, 1778, 1132, 1137, 1120, 1138, 1542, 1374, 180, 21586, 2765, 488, 124, 132, 123, 131, 106, 1778, 1132, 1137, 1120, 16620, 1462, 1120, 1539, 19650, 488, 124, 132, 126, 132, 106, 1778, 1132, 1137, 1120, 7251, 1451, 29701, 1252, 14704, 1712, 6037, 488, 124, 132, 132, 131, 488, 466, 106, 1778, 1132, 1137, 1120, 8844, 1205, 4735, 1254, 1412, 2395, 4780, 488, 124, 132, 130, 129, 106, 1778, 1132, 1137, 1120, 2731, 3303, 1867, 12805, 3100, 488, 124, 131, 127, 127, 488, 466, 106, 1778, 1132, 1137, 1120, 2102, 28685, 1252, 2012, 2114, 488, 124, 131, 132, 126, 106, 1778, 1132, 1137, 1120, 1618, 3161, 180, 7747, 10882, 7451, 1285, 9207, 6427, 11040, 119, 1673, 26125, 2086, 488, 125, 123, 123, 123, 106, 1778, 1132, 1137, 1120, 7707, 2011, 187, 3382, 9845, 121, 12209, 6507, 1156, 1993, 119, 488, 124, 131, 132, 128, 1260, 1778, 1132, 1137, 1120, 17417, 2496, 172, 1173, 1569, 15862, 488, 124, 132, 130, 131, 106, 1778, 1132, 1137, 1120, 1747, 3303, 172, 5807, 1479, 1201, 2114, 488, 124, 132, 132, 125, 488, 466, 106, 1778, 1132, 1137, 1120, 1281, 1193, 189, 2694, 1254, 1412, 2395, 4780, 488, 124, 132, 130, 129, 106, 1778, 1132, 1137, 1120, 2824, 25024, 180, 9845, 121, 12209, 6507, 1156, 1993, 119, 488, 124, 131, 132, 128, 1718, 158, 3015, 1509, 14944, 122, 2663, 122, 2021, 1512, 1136, 168, 2232, 1778, 1132, 1137, 1120, 1138, 1542, 1374, 180, 21586, 2765, 488, 124, 132, 123, 131, 106, 1778, 1132, 1137, 1120, 16620, 1462, 1120, 1539, 19650, 488, 124, 132, 126, 132, 106, 1778, 1132, 1137, 1120, 8844, 1205, 4735, 1254, 1412, 2395, 4780, 488, 124, 132, 130, 129, 106, 1778, 1132, 1137, 1120, 2102, 28685, 1252, 2012, 2114, 488, 124, 131, 132, 126, 106, 1778, 1132, 1137, 1120, 1618, 3161, 180, 7747, 10882, 7451, 1285, 9207, 6427, 11040, 119, 1673, 26125, 2086, 488, 125, 123, 123, 123, 106, 1778, 1132, 1137, 1120, 7707, 2011, 187, 3382, 9845, 121, 12209, 6507, 1156, 1993, 119, 488, 124, 131, 132, 128, 1260, 1778, 1132, 1137, 1120, 17417, 2496, 172, 1173, 1569, 15862, 488, 124, 132, 130, 131, 106, 1778, 1132, 1137, 1120, 1281, 1193, 189, 2694, 1254, 1412, 2395, 4780, 488, 124, 132, 130, 129, 106, 1778, 1132, 1137, 1120, 2824, 25024, 180, 9845, 121, 12209, 6507, 1156, 1993, 119, 488, 124, 131, 132, 128, 1718, 158, 3015, 1509, 14944, 122, 2663, 122, 2021, 1512, 1136, 168, 2232, 1778, 1132, 1137, 1120, 1138, 8761, 1148, 6526, 106, 1778, 1132, 1137, 1120, 7251, 1451, 29701, 106, 1778, 1132, 1137, 1120, 2731, 3303, 106, 1778, 1132, 1137, 1120, 1747, 3303, 172, 11934, 3015, 1509, 14944, 122, 2663, 122, 2021, 1512, 1136, 168, 1257, 9323, 1167, 16828, 5825, 2093, 1424, 1424, 1424, 1424, 1424, 2093, 151, 1284, 1259, 19609, 2911, 1108, 1112, 1125, 1805, 1301, 3524, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 2951, 1132, 1137, 1120, 1299, 1189, 7433, 1125, 2669, 1502, 1183, 1234, 1805, 1301, 3524, 1125, 1158, 4446, 1197, 1200, 1284, 1259, 19609, 9994, 2038, 1304, 4870, 243, 1887, 12928, 3015, 1509, 14944, 122, 2663, 122, 2021, 1512, 1136, 168, 8623, 158, 3015, 1509, 14944, 122, 2663, 122, 2021, 1512, 1136, 168, 2232, 1778, 1132, 1137, 1120, 1138, 8761, 1148, 6526, 5807, 1479, 1201, 2114, 488, 124, 132, 131, 131, 488, 466, 106, 1778, 1132, 1137, 1120, 1138, 1542, 1374, 180, 21586, 2765, 488, 124, 132, 123, 131, 106, 1778, 1132, 1137, 1120, 16620, 1462, 1120, 1539, 19650, 488, 124, 132, 126, 132, 106, 1778, 1132, 1137, 1120, 7251, 1451, 29701, 1252, 14704, 1712, 6037, 488, 124, 132, 132, 131, 488, 466, 106, 1778, 1132, 1137, 1120, 8844, 1205, 4735, 1254, 1412, 2395, 4780, 488, 124, 132, 130, 129, 106, 1778, 1132, 1137, 1120, 2731, 3303, 1867, 12805, 3100, 488, 124, 131, 127, 127, 488, 466, 106, 1778, 1132, 1137, 1120, 2102, 28685, 1252, 2012, 2114, 488, 124, 131, 132, 126, 106, 1778, 1132, 1137, 1120, 1618, 3161, 180, 7747, 10882, 7451, 1285, 9207, 6427, 11040, 119, 1673, 26125, 2086, 488, 125, 123, 123, 123, 106, 1778, 1132, 1137, 1120, 7707, 2011, 187, 3382, 9845, 121, 12209, 6507, 1156, 1993, 119, 488, 124, 131, 132, 128, 1260, 1778, 1132, 1137, 1120, 17417, 2496, 172, 1173, 1569, 15862, 488, 124, 132, 130, 131, 106, 1778, 1132, 1137, 1120, 1747, 3303, 172, 5807, 1479, 1201, 2114, 488, 124, 132, 132, 125, 488, 466, 106, 1778, 1132, 1137, 1120, 1281, 1193, 189, 2694, 1254, 1412, 2395, 4780, 488, 124, 132, 130, 129, 106, 1778, 1132, 1137, 1120, 2824, 25024, 180, 9845, 121, 12209, 6507, 1156, 1993, 119, 488, 124, 131, 132, 128, 1718, 158, 3015, 1509, 14944, 122, 2663, 122, 2021, 1512, 1136, 168, 2232, 1778, 1132, 1137, 1120, 1138, 1542, 1374, 180, 21586, 2765, 488, 124, 132, 123, 131, 106, 1778, 1132, 1137, 1120, 16620, 1462, 1120, 1539, 19650, 488, 124, 132, 126, 132, 106, 1778, 1132, 1137, 1120, 8844, 1205, 4735, 1254, 1412, 2395, 4780, 488, 124, 132, 130, 129, 106, 1778, 1132, 1137, 1120, 2102, 28685, 1252, 2012, 2114, 488, 124, 131, 132, 126, 106, 1778, 1132, 1137, 1120, 1618, 3161, 180, 7747, 10882, 7451, 1285, 9207, 6427, 11040, 119, 1673, 26125, 2086, 488, 125, 123, 123, 123, 106, 1778, 1132, 1137, 1120, 7707, 2011, 187, 3382, 9845, 121, 12209, 6507, 1156, 1993, 119, 488, 124, 131, 132, 128, 1260, 1778, 1132, 1137, 1120, 17417, 2496, 172, 1173, 1569, 15862, 488, 124, 132, 130, 131, 106, 1778, 1132, 1137, 1120, 1281, 1193, 189, 2694, 1254, 1412, 2395, 4780, 488, 124, 132, 130, 129, 106, 1778, 1132, 1137, 1120, 2824, 25024, 180, 9845, 121, 12209, 6507, 1156, 1993, 119, 488, 124, 131, 132, 128, 1718, 158, 3015, 1509, 14944, 122, 2663, 122, 2021, 1512, 1136, 168, 2232, 1778, 1132, 1137, 1120, 1138, 8761, 1148, 6526, 106, 1778, 1132, 1137, 1120, 7251, 1451, 29701, 106, 1778, 1132, 1137, 1120, 2731, 3303, 106, 1778, 1132, 1137, 1120, 1747, 3303, 172, 11934, 3015, 1509, 14944, 122, 2663, 122, 2021, 1512, 1136, 168, 1257, 9323, 1167, 16828, 5825, 2093, 1424, 1424, 1424, 1424, 1424, 2093, 151, 1284, 1259, 19609, 2911, 1108, 1112, 1125, 1805, 1301, 3524, 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, 1424, 149, 2550, 2908, 1134, 179, 1353, 10069, 193, 1314, 1175, 124, 131, 130, 130, 1323, 488, 124, 132, 128, 125, 116, 1299, 1189, 11347, 2038, 31937, 14898, 1167, 7774, 1167, 12497, 9037, 1452, 10468, 1125, 21455, 1125, 1753, 15770, 190, 1125, 488, 124, 132, 125, 124, 7328, 1561, 4541, 121, 1653, 4083, 1309, 6072, 1136, 11347, 12001, 10069, 193, 1314, 9900, 1300, 13883, 1197, 6048, 1125, 5902, 3340, 1162, 1571, 28321, 17942, 1167, 1239, 1731, 1207, 7790, 2735, 1312, 5902, 3340, 3392, 1170, 2693, 7749, 1276, 3340, 1167, 1170, 1111, 1630, 3394, 14669, 3340, 28321, 1679, 14231, 10069, 193, 1314, 1299, 5252, 1188, 4861, 1141, 178, 1246, 1227, 11535, 1125, 1282, 20423, 4172, 10069, 193, 1314, 15824, 19782, 1125, 14614, 1741, 2593, 28939, 1167, 1125, 10016, 5450, 1105, 2908, 1134, 179, 1353, 121, 1768, 1844, 1909, 8787, 1188, 19543, 3454, 1119, 4861, 1108, 12258, 22589, 1214, 6349, 1317, 11801, 6253, 1926, 9168, 1125, 4861, 1141, 178, 13597, 2567, 27776, 1189, 1138, 2120, 1132, 24666, 1128, 488, 1467, 11733, 1186, 11347, 1214, 1188, 21455, 1125, 1753, 15770, 1297, 1867, 14012, 1527, 3811, 1188, 21455, 1125, 1548, 1461, 197, 1205, 119, 2585, 1527, 22589, 1214, 1256, 1189, 11622, 1128, 2290, 1350, 1243, 194, 6266, 1167, 1325, 1120, 1380, 1108, 6637, 1867, 5464, 1188, 1753, 15770, 1285, 1527, 18764, 1189, 11622, 1128, 1186, 11733, 1167, 1251, 19353, 1158, 11347, 4654, 1768, 1299, 12688, 13787, 1125, 11347, 1214, 1186, 488, 124, 132, 123, 132, 1167, 1106, 12920, 1197, 11733, 1186, 488, 124, 132, 124, 125, 121, 1653, 488, 124, 132, 125, 124, 119, 1527, 1299, 12688, 8328, 121, 6218, 13838, 4715, 1158, 15768, 1167, 1158, 19006, 1197, 16963, 1167, 1197, 4786, 1285, 1167, 1909, 14766, 4256, 2743, 8508, 1304, 1717, 10125, 121, 14301, 18384, 2368, 1630, 18331, 14611, 1125, 31833, 4355, 1313, 26138, 8595, 1186, 11961, 3551, 13744, 1167, 1313, 1207, 9644, 6099, 1768, 1299, 2445, 8328, 1215, 3975, 2965, 1125, 1282, 2029, 3387, 9168, 1125, 22523, 1208, 176, 12258, 1299, 18640, 6711, 1125, 1158, 11801, 13309, 1161, 5826, 1109, 19899, 1186, 488, 124, 132, 124, 130, 1469, 1856, 2176, 1701, 18988, 8590, 16026, 1659, 4172, 5826, 10775, 30732, 10520, 2620, 1165, 1700, 1292, 19889, 22397, 11453, 3604, 1167, 18988, 4787, 2233, 7910, 1325, 1129, 18527, 7690, 1484, 3847, 1768, 1299, 18640, 6711, 1125, 1158, 11801, 13309, 1186, 488, 124, 132, 124, 131, 1167, 14882, 2445, 1561, 24722, 5191, 2305, 1768, 1299, 28262, 21467, 1125, 1158, 11801, 13309, 1161, 5826, 1109, 19899, 1125, 488, 124, 132, 125, 125, 1188, 488, 124, 132, 125, 128, 121, 1768, 18900, 1170, 3248, 1293, 20063, 23976, 1321, 1287, 1399, 176, 1125, 1158, 3385, 1256, 488, 124, 132, 126, 129, 458, 124, 132, 127, 123, 26544, 28374, 1314, 1299, 2445, 3320, 4586, 244, 5262, 1379, 23242, 7678, 1125, 6389, 16609, 19922, 1926, 4911, 18991, 3320, 4586, 244, 3985, 1333, 1190, 1165, 1942, 1119, 1125, 26341, 10623, 23986, 3320, 4586, 244, 8281, 1243, 2949, 1125, 1158, 19922, 1926, 13309, 1125, 20024, 12258, 1299, 12688, 30112, 1136, 1125, 29204, 13976, 1125, 5613, 26875, 14898, 1186, 488, 124, 132, 125, 123, 1167, 1844, 14018, 1374, 1186, 488, 124, 132, 125, 128, 1167, 14882, 1158, 9148, 2334, 12884, 6111, 12132, 1125, 1753, 15770, 190, 12258, 14882, 1197, 11622, 1889, 12886, 1221, 2097, 1197, 5116, 1837, 5519, 1620, 1208, 2765, 1125, 13793, 27670, 1125, 16943, 4741, 1125, 9776, 28649, 24334, 17768, 10914, 119, 1125, 4861, 1141, 178, 13597, 1125, 30773, 119, 1125, 25321, 26574, 14609, 195, 29581, 1125, 2769, 2171, 1130, 2114, 1125, 9339, 1258, 2086, 1125, 21455, 1227, 3293, 1125, 7494, 1328, 1167, 1125, 1671, 1366, 12258, 19859, 3523, 2435, 1188, 1753, 15770, 190, 1170, 488, 124, 125, 2798, 488, 124, 132, 128, 125, 1167, 1299, 6575, 1568, 1313, 1170, 30228, 1299, 5639, 1125, 1158, 4665, 30652, 11419, 21052, 24890, 7364, 5825, 23435, 24116, 1125, 15714, 1125, 1548, 1461, 197, 1205, 2605, 24116, 1125, 15714, 1125, 6429, 1495, 174, 1269, 1208, 1539, 1195, 2038, 2447, 10558, 31128, 1125, 1158, 11801, 13309, 1161, 5826, 1109, 19899, 31128, 1125, 1158, 11801, 13309, 28756, 1374, 5759, 1136, 1125, 14439, 1125, 5613, 26875, 14898, 1539, 1195, 2038, 2609, 3377, 1298, 1227, 23841, 6298, 2605, 24116, 1125, 15714, 1125, 1753, 15770, 190, 7246, 9892, 1188, 15714, 1125, 1753, 15770, 190, 6064, 1467, 1186, 2798, 488, 124, 132, 128, 125, 1266, 3400, 1186, 2738, 488, 124, 131, 130, 130, 6064, 1467, 1188, 488, 130, 128, 8793, 32001, 1424, 32000, 20036, 2278, 2550, 2908, 1134, 179, 1353, 10069, 193, 1314, 1175, 124, 131, 130, 130, 1323, 488, 124, 132, 128, 125, 116, 1299, 1189, 11347, 2038, 31937, 14898, 1167, 7774, 1167, 12497, 9037, 1452, 10468, 1125, 21455, 1125, 1753, 15770, 190, 1125, 488, 124, 132, 125, 124, 7328, 1561, 4541, 121, 1653, 4083, 1309, 6072, 1136, 11347, 12001, 10069, 193, 1314, 9900, 1300, 13883, 1197, 6048, 1125, 5902, 3340, 1162, 1571, 28321, 17942, 1167, 1239, 1731, 1207, 7790, 2735, 1312, 5902, 3340, 3392, 1170, 2693, 7749, 1276, 3340, 1167, 1170, 1111, 1630, 3394, 14669, 3340, 28321, 1679, 14231, 10069, 193, 1314, 1299, 5252, 1188, 4861, 1141, 178, 1246, 1227, 11535, 1125, 1282, 20423, 4172, 10069, 193, 1314, 15824, 19782, 1125, 14614, 1741, 2593, 28939, 1167, 1125, 10016, 5450, 1105, 2908, 1134, 179, 1353, 121, 1768, 1844, 1909, 8787, 1188, 19543, 3454, 1119, 4861, 1108, 12258, 22589, 1214, 6349, 1317, 11801, 6253, 1926, 9168, 1125, 4861, 1141, 178, 13597, 2567, 27776, 1189, 1138, 2120, 1132, 24666, 1128, 488, 1467, 11733, 1186, 11347, 1214, 1188, 21455, 1125, 1753, 15770, 1297, 1867, 14012, 1527, 3811, 1188, 21455, 1125, 1548, 1461, 197, 1205, 119, 2585, 1527, 22589, 1214, 1256, 1189, 11622, 1128, 2290, 1350, 1243, 194, 6266, 1167, 1325, 1120, 1380, 1108, 6637, 1867, 5464, 1188, 1753, 15770, 1285, 1527, 18764, 1189, 11622, 1128, 1186, 11733, 1167, 1251, 19353, 1158, 11347, 4654, 1768, 1299, 12688, 13787, 1125, 11347, 1214, 1186, 488, 124, 132, 123, 132, 1167, 1106, 12920, 1197, 11733, 1186, 488, 124, 132, 124, 125, 121, 1653, 488, 124, 132, 125, 124, 119, 1527, 1299, 12688, 8328, 121, 6218, 13838, 4715, 1158, 15768, 1167, 1158, 19006, 1197, 16963, 1167, 1197, 4786, 1285, 1167, 1909, 14766, 4256, 2743, 8508, 1304, 1717, 10125, 121, 14301, 18384, 2368, 1630, 18331, 14611, 1125, 31833, 4355, 1313, 26138, 8595, 1186, 11961, 3551, 13744, 1167, 1313, 1207, 9644, 6099, 1768, 1299, 2445, 8328, 1215, 3975, 2965, 1125, 1282, 2029, 3387, 9168, 1125, 22523, 1208, 176, 12258, 1299, 18640, 6711, 1125, 1158, 11801, 13309, 1161, 5826, 1109, 19899, 1186, 488, 124, 132, 124, 130, 1469, 1856, 2176, 1701, 18988, 8590, 16026, 1659, 4172, 5826, 10775, 30732, 10520, 2620, 1165, 1700, 1292, 19889, 22397, 11453, 3604, 1167, 18988, 4787, 2233, 7910, 1325, 1129, 18527, 7690, 1484, 3847, 1768, 1299, 18640, 6711, 1125, 1158, 11801, 13309, 1186, 488, 124, 132, 124, 131, 1167, 14882, 2445, 1561, 24722, 5191, 2305, 1768, 1299, 28262, 21467, 1125, 1158, 11801, 13309, 1161, 5826, 1109, 19899, 1125, 488, 124, 132, 125, 125, 1188, 488, 124, 132, 125, 128, 121, 1768, 18900, 1170, 3248, 1293, 20063, 23976, 1321, 1287, 1399, 176, 1125, 1158, 3385, 1256, 488, 124, 132, 126, 129, 458, 124, 132, 127, 123, 26544, 28374, 1314, 1299, 2445, 3320, 4586, 244, 5262, 1379, 23242, 7678, 1125, 6389, 16609, 19922, 1926, 4911, 18991, 3320, 4586, 244, 3985, 1333, 1190, 1165, 1942, 1119, 1125, 26341, 10623, 23986, 3320, 4586, 244, 8281, 1243, 2949, 1125, 1158, 19922, 1926, 13309, 1125, 20024, 12258, 1299, 12688, 30112, 1136, 1125, 29204, 13976, 1125, 5613, 26875, 14898, 1186, 488, 124, 132, 125, 123, 1167, 1844, 14018, 1374, 1186, 488, 124, 132, 125, 128, 1167, 14882, 1158, 9148, 2334, 12884, 6111, 12132, 1125, 1753, 15770, 190, 12258, 14882, 1197, 11622, 1889, 12886, 1221, 2097, 1197, 5116, 1837, 5519, 1620, 1208, 2765, 1125, 13793, 27670, 1125, 16943, 4741, 1125, 9776, 28649, 24334, 17768, 10914, 119, 1125, 4861, 1141, 178, 13597, 1125, 30773, 119, 1125, 25321, 26574, 14609, 195, 29581, 1125, 2769, 2171, 1130, 2114, 1125, 9339, 1258, 2086, 1125, 21455, 1227, 3293, 1125, 7494, 1328, 1167, 1125, 1671, 1366, 12258, 19859, 3523, 2435, 1188, 1753, 15770, 190, 1170, 488, 124, 125, 2798, 488, 124, 132, 128, 125, 1167, 1299, 6575, 1568, 1313, 1170, 30228, 1299, 5639, 1125, 1158, 4665, 30652, 11419, 21052, 24890, 7364, 5825, 23435, 24116, 1125, 15714, 1125, 1548, 1461, 197, 1205, 2605, 24116, 1125, 15714, 1125, 6429, 1495, 174, 1269, 1208, 1539, 1195, 2038, 2447, 10558, 31128, 1125, 1158, 11801, 13309, 1161, 5826, 1109, 19899, 31128, 1125, 1158, 11801, 13309, 28756, 1374, 5759, 1136, 1125, 14439, 1125, 5613, 26875, 14898, 1539, 1195, 2038, 2609, 3377, 1298, 1227, 23841, 6298, 2605, 24116, 1125, 15714, 1125, 1753, 15770, 190, 7246, 9892, 1188, 15714, 1125, 1753, 15770, 190, 6064, 1467, 1186, 2798, 488, 124, 132, 128, 125, 1266, 3400, 1186, 2738, 488, 124, 131, 130, 130, 6064, 1467, 1188, 488, 130, 128, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 2550, 2908, 1134, 179, 1353, 10069, 193, 1314, 1175, 124, 131, 130, 130, 1323, 488, 124, 132, 128, 125, 116, 1299, 1189, 11347, 2038, 31937, 14898, 1167, 7774, 1167, 12497, 9037, 1452, 10468, 1125, 21455, 1125, 1753, 15770, 190, 1125, 488, 124, 132, 125, 124, 7328, 1561, 4541, 121, 1653, 4083, 1309, 6072, 1136, 11347, 12001, 10069, 193, 1314, 9900, 1300, 13883, 1197, 6048, 1125, 5902, 3340, 1162, 1571, 28321, 17942, 1167, 1239, 1731, 1207, 7790, 2735, 1312, 5902, 3340, 3392, 1170, 2693, 7749, 1276, 3340, 1167, 1170, 1111, 1630, 3394, 14669, 3340, 28321, 1679, 14231, 10069, 193, 1314, 1299, 5252, 1188, 4861, 1141, 178, 1246, 1227, 11535, 1125, 1282, 20423, 4172, 10069, 193, 1314, 15824, 19782, 1125, 14614, 1741, 2593, 28939, 1167, 1125, 10016, 5450, 1105, 2908, 1134, 179, 1353, 121, 1768, 1844, 1909, 8787, 1188, 19543, 3454, 1119, 4861, 1108, 12258, 22589, 1214, 6349, 1317, 11801, 6253, 1926, 9168, 1125, 4861, 1141, 178, 13597, 2567, 27776, 1189, 1138, 2120, 1132, 24666, 1128, 488, 1467, 11733, 1186, 11347, 1214, 1188, 21455, 1125, 1753, 15770, 1297, 1867, 14012, 1527, 3811, 1188, 21455, 1125, 1548, 1461, 197, 1205, 119, 2585, 1527, 22589, 1214, 1256, 1189, 11622, 1128, 2290, 1350, 1243, 194, 6266, 1167, 1325, 1120, 1380, 1108, 6637, 1867, 5464, 1188, 1753, 15770, 1285, 1527, 18764, 1189, 11622, 1128, 1186, 11733, 1167, 1251, 19353, 1158, 11347, 4654, 1768, 1299, 12688, 13787, 1125, 11347, 1214, 1186, 488, 124, 132, 123, 132, 1167, 1106, 12920, 1197, 11733, 1186, 488, 124, 132, 124, 125, 121, 1653, 488, 124, 132, 125, 124, 119, 1527, 1299, 12688, 8328, 121, 6218, 13838, 4715, 1158, 15768, 1167, 1158, 19006, 1197, 16963, 1167, 1197, 4786, 1285, 1167, 1909, 14766, 4256, 2743, 8508, 1304, 1717, 10125, 121, 14301, 18384, 2368, 1630, 18331, 14611, 1125, 31833, 4355, 1313, 26138, 8595, 1186, 11961, 3551, 13744, 1167, 1313, 1207, 9644, 6099, 1768, 1299, 2445, 8328, 1215, 3975, 2965, 1125, 1282, 2029, 3387, 9168, 1125, 22523, 1208, 176, 12258, 1299, 18640, 6711, 1125, 1158, 11801, 13309, 1161, 5826, 1109, 19899, 1186, 488, 124, 132, 124, 130, 1469, 1856, 2176, 1701, 18988, 8590, 16026, 1659, 4172, 5826, 10775, 30732, 10520, 2620, 1165, 1700, 1292, 19889, 22397, 11453, 3604, 1167, 18988, 4787, 2233, 7910, 1325, 1129, 18527, 7690, 1484, 3847, 1768, 1299, 18640, 6711, 1125, 1158, 11801, 13309, 1186, 488, 124, 132, 124, 131, 1167, 14882, 2445, 1561, 24722, 5191, 2305, 1768, 1299, 28262, 21467, 1125, 1158, 11801, 13309, 1161, 5826, 1109, 19899, 1125, 488, 124, 132, 125, 125, 1188, 488, 124, 132, 125, 128, 121, 1768, 18900, 1170, 3248, 1293, 20063, 23976, 1321, 1287, 1399, 176, 1125, 1158, 3385, 1256, 488, 124, 132, 126, 129, 458, 124, 132, 127, 123, 26544, 28374, 1314, 1299, 2445, 3320, 4586, 244, 5262, 1379, 23242, 7678, 1125, 6389, 16609, 19922, 1926, 4911, 18991, 3320, 4586, 244, 3985, 1333, 1190, 1165, 1942, 1119, 1125, 26341, 10623, 23986, 3320, 4586, 244, 8281, 1243, 2949, 1125, 1158, 19922, 1926, 13309, 1125, 20024, 12258, 1299, 12688, 30112, 1136, 1125, 29204, 13976, 1125, 5613, 26875, 14898, 1186, 488, 124, 132, 125, 123, 1167, 1844, 14018, 1374, 1186, 488, 124, 132, 125, 128, 1167, 14882, 1158, 9148, 2334, 12884, 6111, 12132, 1125, 1753, 15770, 190, 12258, 14882, 1197, 11622, 1889, 12886, 1221, 2097, 1197, 5116, 1837, 5519, 1620, 1208, 2765, 1125, 13793, 27670, 1125, 16943, 4741, 1125, 9776, 28649, 24334, 17768, 10914, 119, 1125, 4861, 1141, 178, 13597, 1125, 30773, 119, 1125, 25321, 26574, 14609, 195, 29581, 1125, 2769, 2171, 1130, 2114, 1125, 9339, 1258, 2086, 1125, 21455, 1227, 3293, 1125, 7494, 1328, 1167, 1125, 1671, 1366, 12258, 19859, 3523, 2435, 1188, 1753, 15770, 190, 1170, 488, 124, 125, 2798, 488, 124, 132, 128, 125, 1167, 1299, 6575, 1568, 1313, 1170, 30228, 1299, 5639, 1125, 1158, 4665, 30652, 11419, 21052, 24890, 7364, 5825, 23435, 24116, 1125, 15714, 1125, 1548, 1461, 197, 1205, 2605, 24116, 1125, 15714, 1125, 6429, 1495, 174, 1269, 1208, 1539, 1195, 2038, 2447, 10558, 31128, 1125, 1158, 11801, 13309, 1161, 5826, 1109, 19899, 31128, 1125, 1158, 11801, 13309, 28756, 1374, 5759, 1136, 1125, 14439, 1125, 5613, 26875, 14898, 1539, 1195, 2038, 2609, 3377, 1298, 1227, 23841, 6298, 2605, 24116, 1125, 15714, 1125, 1753, 15770, 190, 7246, 9892, 1188, 15714, 1125, 1753, 15770, 190, 6064, 1467, 1186, 2798, 488, 124, 132, 128, 125, 1266, 3400, 1186, 2738, 488, 124, 131, 130, 130, 6064, 1467, 1188, 488, 130, 128, 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, 155, 3915, 3699, 2605, 11150, 12319, 175, 3100, 5252, 1188, 2801, 1170, 488, 129, 2829, 488, 124, 130, 131, 124, 119, 1167, 4541, 1188, 2801, 1175, 9306, 488, 124, 124, 176, 28077, 116, 1170, 488, 124, 128, 2829, 488, 124, 131, 127, 130, 119, 1299, 1189, 17849, 3177, 4780, 11912, 1136, 1167, 10139, 31628, 2720, 14231, 2911, 1154, 1196, 4819, 6711, 1227, 1165, 1435, 1334, 11990, 119, 1527, 1299, 18480, 1125, 3458, 6406, 3227, 1473, 1317, 18367, 1125, 6389, 1377, 12704, 23678, 3725, 1317, 18367, 1227, 1352, 1334, 5261, 1415, 1167, 1317, 18367, 1125, 1158, 1293, 2813, 1389, 2442, 1309, 2335, 27366, 1125, 23070, 2487, 1158, 1408, 17874, 1299, 1643, 1293, 1307, 192, 1567, 121, 14782, 1125, 1909, 5495, 22074, 21722, 1313, 1158, 8146, 10960, 14662, 2004, 1913, 1125, 31797, 2172, 1128, 5804, 1104, 8443, 1388, 282, 19760, 2359, 1233, 1307, 1122, 196, 2674, 2094, 2357, 1362, 1814, 2151, 1125, 5588, 1125, 8281, 1210, 1916, 119, 3664, 5257, 1186, 1152, 1334, 5261, 19055, 1469, 21482, 12189, 3724, 1105, 1167, 1922, 2082, 17194, 191, 5596, 488, 124, 131, 124, 126, 2895, 22278, 6364, 1851, 14477, 30882, 1186, 488, 124, 14978, 1167, 1186, 1223, 5650, 488, 124, 131, 124, 127, 4030, 10577, 1167, 1922, 2011, 3100, 1362, 1207, 12932, 2438, 4218, 1285, 30882, 2517, 1334, 5261, 1415, 1186, 488, 124, 1332, 3212, 1469, 11868, 17726, 1265, 1125, 7812, 1118, 1669, 1242, 1965, 488, 124, 131, 126, 127, 2359, 4173, 10645, 27366, 1125, 10139, 7816, 488, 124, 131, 126, 129, 6725, 30423, 30038, 2130, 1223, 2485, 3955, 1223, 2485, 1277, 29440, 1186, 488, 124, 1332, 3212, 22057, 5012, 1125, 1152, 1334, 5261, 19055, 1469, 1125, 7812, 1118, 1669, 1242, 1965, 488, 124, 131, 126, 131, 9323, 1167, 5474, 25194, 17935, 17994, 2278, 27505, 7980, 2722, 1356, 4748, 1252, 3567, 195, 14296, 4339, 7658, 8179, 5620, 1265, 2944, 1643, 14580, 5964, 8515, 23231, 1198, 1544, 488, 128, 1859, 488, 124, 131, 128, 125, 119, 7364, 5825, 13776, 3394, 3177, 1315, 2720, 1227, 26851, 6298, 2911, 1154, 31753, 2720, 1227, 26851, 6298, 4196, 1220, 31628, 2720, 8156, 1186, 2829, 488, 124, 130, 131, 124, 8156, 1188, 2801, 9317, 1186, 2829, 488, 124, 131, 127, 130, 9317, 1313, 20774, 488, 124, 124, 176, 28077, 1125, 2801, 9317, 1188, 488, 129, 128, 2165, 32001, 1424, 32000, 20036, 1566, 3915, 3699, 2605, 11150, 12319, 175, 3100, 5252, 1188, 2801, 1170, 488, 129, 2829, 488, 124, 130, 131, 124, 119, 1167, 4541, 1188, 2801, 1175, 9306, 488, 124, 124, 176, 28077, 116, 1170, 488, 124, 128, 2829, 488, 124, 131, 127, 130, 119, 1299, 1189, 17849, 3177, 4780, 11912, 1136, 1167, 10139, 31628, 2720, 14231, 2911, 1154, 1196, 4819, 6711, 1227, 1165, 1435, 1334, 11990, 119, 1527, 1299, 18480, 1125, 3458, 6406, 3227, 1473, 1317, 18367, 1125, 6389, 1377, 12704, 23678, 3725, 1317, 18367, 1227, 1352, 1334, 5261, 1415, 1167, 1317, 18367, 1125, 1158, 1293, 2813, 1389, 2442, 1309, 2335, 27366, 1125, 23070, 2487, 1158, 1408, 17874, 1299, 1643, 1293, 1307, 192, 1567, 121, 14782, 1125, 1909, 5495, 22074, 21722, 1313, 1158, 8146, 10960, 14662, 2004, 1913, 1125, 31797, 2172, 1128, 5804, 1104, 8443, 1388, 282, 19760, 2359, 1233, 1307, 1122, 196, 2674, 2094, 2357, 1362, 1814, 2151, 1125, 5588, 1125, 8281, 1210, 1916, 119, 3664, 5257, 1186, 1152, 1334, 5261, 19055, 1469, 21482, 12189, 3724, 1105, 1167, 1922, 2082, 17194, 191, 5596, 488, 124, 131, 124, 126, 2895, 22278, 6364, 1851, 14477, 30882, 1186, 488, 124, 14978, 1167, 1186, 1223, 5650, 488, 124, 131, 124, 127, 4030, 10577, 1167, 1922, 2011, 3100, 1362, 1207, 12932, 2438, 4218, 1285, 30882, 2517, 1334, 5261, 1415, 1186, 488, 124, 1332, 3212, 1469, 11868, 17726, 1265, 1125, 7812, 1118, 1669, 1242, 1965, 488, 124, 131, 126, 127, 2359, 4173, 10645, 27366, 1125, 10139, 7816, 488, 124, 131, 126, 129, 6725, 30423, 30038, 2130, 1223, 2485, 3955, 1223, 2485, 1277, 29440, 1186, 488, 124, 1332, 3212, 22057, 5012, 1125, 1152, 1334, 5261, 19055, 1469, 1125, 7812, 1118, 1669, 1242, 1965, 488, 124, 131, 126, 131, 9323, 1167, 5474, 25194, 17935, 17994, 2278, 27505, 7980, 2722, 1356, 4748, 1252, 3567, 195, 14296, 4339, 7658, 8179, 5620, 1265, 2944, 1643, 14580, 5964, 8515, 23231, 1198, 1544, 488, 128, 1859, 488, 124, 131, 128, 125, 119, 7364, 5825, 13776, 3394, 3177, 1315, 2720, 1227, 26851, 6298, 2911, 1154, 31753, 2720, 1227, 26851, 6298, 4196, 1220, 31628, 2720, 8156, 1186, 2829, 488, 124, 130, 131, 124, 8156, 1188, 2801, 9317, 1186, 2829, 488, 124, 131, 127, 130, 9317, 1313, 20774, 488, 124, 124, 176, 28077, 1125, 2801, 9317, 1188, 488, 129, 128, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 3699, 2605, 11150, 12319, 175, 3100, 5252, 1188, 2801, 1170, 488, 129, 2829, 488, 124, 130, 131, 124, 119, 1167, 4541, 1188, 2801, 1175, 9306, 488, 124, 124, 176, 28077, 116, 1170, 488, 124, 128, 2829, 488, 124, 131, 127, 130, 119, 1299, 1189, 17849, 3177, 4780, 11912, 1136, 1167, 10139, 31628, 2720, 14231, 2911, 1154, 1196, 4819, 6711, 1227, 1165, 1435, 1334, 11990, 119, 1527, 1299, 18480, 1125, 3458, 6406, 3227, 1473, 1317, 18367, 1125, 6389, 1377, 12704, 23678, 3725, 1317, 18367, 1227, 1352, 1334, 5261, 1415, 1167, 1317, 18367, 1125, 1158, 1293, 2813, 1389, 2442, 1309, 2335, 27366, 1125, 23070, 2487, 1158, 1408, 17874, 1299, 1643, 1293, 1307, 192, 1567, 121, 14782, 1125, 1909, 5495, 22074, 21722, 1313, 1158, 8146, 10960, 14662, 2004, 1913, 1125, 31797, 2172, 1128, 5804, 1104, 8443, 1388, 282, 19760, 2359, 1233, 1307, 1122, 196, 2674, 2094, 2357, 1362, 1814, 2151, 1125, 5588, 1125, 8281, 1210, 1916, 119, 3664, 5257, 1186, 1152, 1334, 5261, 19055, 1469, 21482, 12189, 3724, 1105, 1167, 1922, 2082, 17194, 191, 5596, 488, 124, 131, 124, 126, 2895, 22278, 6364, 1851, 14477, 30882, 1186, 488, 124, 14978, 1167, 1186, 1223, 5650, 488, 124, 131, 124, 127, 4030, 10577, 1167, 1922, 2011, 3100, 1362, 1207, 12932, 2438, 4218, 1285, 30882, 2517, 1334, 5261, 1415, 1186, 488, 124, 1332, 3212, 1469, 11868, 17726, 1265, 1125, 7812, 1118, 1669, 1242, 1965, 488, 124, 131, 126, 127, 2359, 4173, 10645, 27366, 1125, 10139, 7816, 488, 124, 131, 126, 129, 6725, 30423, 30038, 2130, 1223, 2485, 3955, 1223, 2485, 1277, 29440, 1186, 488, 124, 1332, 3212, 22057, 5012, 1125, 1152, 1334, 5261, 19055, 1469, 1125, 7812, 1118, 1669, 1242, 1965, 488, 124, 131, 126, 131, 9323, 1167, 5474, 25194, 17935, 17994, 2278, 27505, 7980, 2722, 1356, 4748, 1252, 3567, 195, 14296, 4339, 7658, 8179, 5620, 1265, 2944, 1643, 14580, 5964, 8515, 23231, 1198, 1544, 488, 128, 1859, 488, 124, 131, 128, 125, 119, 7364, 5825, 13776, 3394, 3177, 1315, 2720, 1227, 26851, 6298, 2911, 1154, 31753, 2720, 1227, 26851, 6298, 4196, 1220, 31628, 2720, 8156, 1186, 2829, 488, 124, 130, 131, 124, 8156, 1188, 2801, 9317, 1186, 2829, 488, 124, 131, 127, 130, 9317, 1313, 20774, 488, 124, 124, 176, 28077, 1125, 2801, 9317, 1188, 488, 129, 128, 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, 10610, 1125, 1158, 4553, 9298, 119, 9601, 1215, 1170, 4610, 1125, 29539, 1126, 1186, 488, 124, 132, 128, 132, 119, 1299, 1189, 7271, 10610, 1357, 3618, 1256, 21721, 1125, 21762, 1317, 4764, 1197, 1606, 3293, 1227, 4322, 3133, 19420, 1197, 3293, 4716, 14946, 1964, 12009, 1336, 1313, 1170, 4154, 1125, 1158, 1805, 1172, 1105, 28282, 1768, 1299, 18494, 1317, 10610, 1197, 25274, 21647, 2757, 1170, 488, 124, 1107, 2749, 488, 124, 132, 132, 129, 8155, 10610, 3031, 18400, 1313, 1189, 17046, 6564, 1227, 1859, 4428, 7863, 1125, 4304, 1104, 9439, 12781, 8446, 1317, 488, 125, 123, 119, 5820, 10438, 27404, 3862, 1125, 488, 124, 132, 129, 125, 119, 1170, 10610, 1125, 1158, 4553, 9298, 2255, 8103, 1197, 6840, 1690, 1227, 2424, 15006, 12218, 1964, 2424, 11894, 1856, 1736, 1273, 1356, 1701, 1188, 5753, 22636, 1657, 1548, 10610, 28103, 18025, 4449, 4403, 1167, 18025, 4449, 11894, 1313, 1207, 3293, 1125, 1594, 15832, 121, 1653, 488, 124, 132, 129, 127, 119, 1170, 10610, 1125, 1158, 4553, 9298, 6036, 1370, 488, 124, 128, 127, 9783, 2040, 1186, 488, 124, 132, 132, 129, 119, 488, 129, 126, 130, 3403, 1188, 1594, 10932, 2630, 1154, 3476, 488, 126, 129, 129, 1313, 1909, 12632, 1125, 15407, 8155, 5328, 1125, 1158, 4553, 9298, 1299, 5178, 1108, 488, 124, 132, 132, 131, 1189, 5328, 1188, 1910, 22668, 1357, 9209, 1317, 4921, 1197, 24486, 1167, 13300, 1571, 7336, 1125, 25849, 121, 7155, 10905, 12302, 1125, 1158, 8632, 1317, 3937, 1186, 488, 124, 132, 131, 124, 119, 2290, 1170, 13838, 1125, 9228, 1204, 10574, 189, 8255, 1170, 10610, 1299, 9505, 21258, 244, 10610, 1125, 1158, 4553, 9298, 1167, 1227, 5144, 30354, 3041, 1768, 20861, 1594, 1874, 1151, 6821, 1469, 1158, 22928, 1125, 9436, 1248, 6026, 1109, 1317, 8536, 1125, 22994, 1186, 488, 124, 132, 132, 126, 119, 1313, 1170, 5987, 1125, 1736, 179, 25473, 24334, 30590, 15596, 1217, 9357, 4511, 1561, 18908, 13949, 20717, 1568, 1110, 21146, 1158, 2321, 1167, 1110, 2442, 1913, 119, 7328, 1158, 1622, 1125, 1440, 4617, 18497, 1170, 4755, 5328, 1125, 1158, 4553, 9298, 1125, 7331, 21824, 1388, 149, 19191, 5614, 177, 1154, 2982, 1357, 2435, 1110, 6728, 12374, 2290, 1170, 13838, 19795, 1140, 1125, 10759, 20152, 2451, 1167, 1313, 1170, 5987, 16003, 1262, 1321, 5711, 2357, 7328, 1158, 9144, 2203, 1125, 488, 124, 132, 132, 130, 119, 2648, 8179, 1321, 3377, 28399, 1313, 1170, 5987, 1125, 21476, 1140, 1321, 4785, 1109, 1357, 1110, 6728, 1740, 2357, 1282, 1258, 1913, 1317, 3694, 1125, 24486, 31926, 22786, 1234, 1317, 5328, 1197, 25274, 21647, 7745, 1105, 4322, 1299, 25911, 31669, 1188, 9933, 1197, 3293, 19101, 3807, 1125, 6389, 9971, 4866, 2194, 1124, 14662, 2648, 1186, 488, 124, 132, 132, 128, 119, 1571, 15058, 14064, 1925, 7290, 3157, 3807, 1167, 26761, 3157, 3807, 1167, 1571, 3293, 1125, 1158, 3734, 1197, 3091, 5363, 173, 1457, 1643, 23650, 5964, 1125, 4764, 3835, 24591, 1496, 5039, 1303, 1313, 1594, 25818, 6196, 10522, 1370, 2290, 1158, 4438, 1125, 18097, 1362, 1125, 1994, 17587, 1256, 1197, 6943, 4473, 23502, 1525, 21572, 1167, 1215, 1170, 16007, 1125, 1561, 1962, 8469, 1951, 1436, 174, 2086, 1313, 1170, 6485, 11427, 2290, 1158, 4438, 1125, 8258, 7860, 1186, 5564, 1362, 1125, 18097, 3512, 7694, 1388, 15779, 4111, 1167, 12466, 26328, 1500, 1125, 1561, 5735, 1170, 488, 10610, 1125, 1158, 4553, 9298, 31461, 28313, 2134, 6508, 1125, 12466, 1357, 5416, 1370, 1207, 8787, 1167, 14083, 19018, 1215, 1207, 9783, 1197, 2882, 1125, 1158, 4553, 9298, 1362, 1215, 1197, 14292, 10522, 1199, 1313, 1170, 6468, 1227, 4764, 1186, 12094, 1167, 1313, 1170, 7077, 2010, 3879, 121, 2932, 4779, 29551, 1370, 2442, 1207, 6746, 9229, 1285, 9238, 1362, 23095, 16628, 4716, 14743, 1188, 10013, 5964, 1317, 15574, 3041, 3559, 3657, 10593, 5257, 2984, 3611, 1370, 1125, 22957, 17713, 19119, 1318, 16795, 7552, 2136, 1158, 14853, 1227, 10610, 1125, 1158, 4553, 9298, 1469, 1170, 10610, 1197, 25274, 8504, 12343, 1170, 488, 124, 1107, 2749, 488, 124, 132, 132, 129, 119, 1170, 6508, 1125, 12466, 1167, 1561, 16795, 2004, 1913, 14663, 1234, 1317, 10610, 1197, 25274, 21647, 1357, 11341, 14663, 244, 1317, 6508, 1197, 17522, 15067, 6068, 1125, 20502, 1256, 12551, 2666, 7115, 1303, 1158, 4882, 1317, 19454, 1548, 13867, 1110, 4795, 3601, 1186, 2578, 1167, 2584, 488, 124, 132, 132, 129, 121, 11027, 1170, 1859, 1816, 16795, 1299, 5673, 1364, 1317, 6508, 1197, 15018, 15067, 6068, 1125, 1643, 4307, 1245, 5269, 10177, 7863, 1125, 488, 4304, 1104, 9439, 1118, 10791, 5328, 1125, 1158, 4553, 9298, 19296, 1382, 18400, 1317, 2722, 1558, 21937, 190, 1242, 26944, 1125, 488, 124, 132, 129, 123, 1188, 488, 125, 123, 123, 131, 119, 1313, 4428, 7863, 1125, 4304, 1104, 9439, 12781, 1189, 17046, 6564, 1125, 1158, 1622, 1227, 26851, 6298, 1317, 3546, 488, 125, 123, 1125, 1158, 5820, 10438, 1313, 1170, 488, 130, 176, 1188, 18994, 2576, 179, 7863, 1110, 1913, 24511, 1186, 488, 125, 123, 123, 130, 1167, 18616, 11051, 8001, 2567, 1158, 1622, 1125, 488, 125, 123, 123, 131, 8155, 14698, 23982, 1362, 5328, 21295, 1299, 9318, 18400, 1469, 1594, 13078, 1313, 1170, 3631, 12685, 1227, 10610, 1197, 25274, 21647, 18400, 1313, 1282, 20246, 13014, 4583, 1214, 24838, 488, 125, 130, 5820, 1125, 1158, 15504, 1313, 1170, 488, 124, 128, 176, 1125, 6721, 5693, 1125, 1158, 4595, 7400, 1125, 1158, 5549, 4521, 1357, 2367, 1186, 6885, 1909, 8286, 1430, 11488, 1167, 5474, 13374, 11052, 1424, 24752, 10502, 1125, 1158, 4553, 9298, 17877, 1158, 4575, 1197, 24486, 1260, 1772, 2196, 2564, 3415, 12662, 7695, 14064, 2100, 1125, 1158, 2315, 28393, 9298, 32001, 1424, 32000, 20036, 2359, 10610, 1125, 1158, 4553, 9298, 119, 9601, 1215, 1170, 4610, 1125, 29539, 1126, 1186, 488, 124, 132, 128, 132, 119, 1299, 1189, 7271, 10610, 1357, 3618, 1256, 21721, 1125, 21762, 1317, 4764, 1197, 1606, 3293, 1227, 4322, 3133, 19420, 1197, 3293, 4716, 14946, 1964, 12009, 1336, 1313, 1170, 4154, 1125, 1158, 1805, 1172, 1105, 28282, 1768, 1299, 18494, 1317, 10610, 1197, 25274, 21647, 2757, 1170, 488, 124, 1107, 2749, 488, 124, 132, 132, 129, 8155, 10610, 3031, 18400, 1313, 1189, 17046, 6564, 1227, 1859, 4428, 7863, 1125, 4304, 1104, 9439, 12781, 8446, 1317, 488, 125, 123, 119, 5820, 10438, 27404, 3862, 1125, 488, 124, 132, 129, 125, 119, 1170, 10610, 1125, 1158, 4553, 9298, 2255, 8103, 1197, 6840, 1690, 1227, 2424, 15006, 12218, 1964, 2424, 11894, 1856, 1736, 1273, 1356, 1701, 1188, 5753, 22636, 1657, 1548, 10610, 28103, 18025, 4449, 4403, 1167, 18025, 4449, 11894, 1313, 1207, 3293, 1125, 1594, 15832, 121, 1653, 488, 124, 132, 129, 127, 119, 1170, 10610, 1125, 1158, 4553, 9298, 6036, 1370, 488, 124, 128, 127, 9783, 2040, 1186, 488, 124, 132, 132, 129, 119, 488, 129, 126, 130, 3403, 1188, 1594, 10932, 2630, 1154, 3476, 488, 126, 129, 129, 1313, 1909, 12632, 1125, 15407, 8155, 5328, 1125, 1158, 4553, 9298, 1299, 5178, 1108, 488, 124, 132, 132, 131, 1189, 5328, 1188, 1910, 22668, 1357, 9209, 1317, 4921, 1197, 24486, 1167, 13300, 1571, 7336, 1125, 25849, 121, 7155, 10905, 12302, 1125, 1158, 8632, 1317, 3937, 1186, 488, 124, 132, 131, 124, 119, 2290, 1170, 13838, 1125, 9228, 1204, 10574, 189, 8255, 1170, 10610, 1299, 9505, 21258, 244, 10610, 1125, 1158, 4553, 9298, 1167, 1227, 5144, 30354, 3041, 1768, 20861, 1594, 1874, 1151, 6821, 1469, 1158, 22928, 1125, 9436, 1248, 6026, 1109, 1317, 8536, 1125, 22994, 1186, 488, 124, 132, 132, 126, 119, 1313, 1170, 5987, 1125, 1736, 179, 25473, 24334, 30590, 15596, 1217, 9357, 4511, 1561, 18908, 13949, 20717, 1568, 1110, 21146, 1158, 2321, 1167, 1110, 2442, 1913, 119, 7328, 1158, 1622, 1125, 1440, 4617, 18497, 1170, 4755, 5328, 1125, 1158, 4553, 9298, 1125, 7331, 21824, 1388, 149, 19191, 5614, 177, 1154, 2982, 1357, 2435, 1110, 6728, 12374, 2290, 1170, 13838, 19795, 1140, 1125, 10759, 20152, 2451, 1167, 1313, 1170, 5987, 16003, 1262, 1321, 5711, 2357, 7328, 1158, 9144, 2203, 1125, 488, 124, 132, 132, 130, 119, 2648, 8179, 1321, 3377, 28399, 1313, 1170, 5987, 1125, 21476, 1140, 1321, 4785, 1109, 1357, 1110, 6728, 1740, 2357, 1282, 1258, 1913, 1317, 3694, 1125, 24486, 31926, 22786, 1234, 1317, 5328, 1197, 25274, 21647, 7745, 1105, 4322, 1299, 25911, 31669, 1188, 9933, 1197, 3293, 19101, 3807, 1125, 6389, 9971, 4866, 2194, 1124, 14662, 2648, 1186, 488, 124, 132, 132, 128, 119, 1571, 15058, 14064, 1925, 7290, 3157, 3807, 1167, 26761, 3157, 3807, 1167, 1571, 3293, 1125, 1158, 3734, 1197, 3091, 5363, 173, 1457, 1643, 23650, 5964, 1125, 4764, 3835, 24591, 1496, 5039, 1303, 1313, 1594, 25818, 6196, 10522, 1370, 2290, 1158, 4438, 1125, 18097, 1362, 1125, 1994, 17587, 1256, 1197, 6943, 4473, 23502, 1525, 21572, 1167, 1215, 1170, 16007, 1125, 1561, 1962, 8469, 1951, 1436, 174, 2086, 1313, 1170, 6485, 11427, 2290, 1158, 4438, 1125, 8258, 7860, 1186, 5564, 1362, 1125, 18097, 3512, 7694, 1388, 15779, 4111, 1167, 12466, 26328, 1500, 1125, 1561, 5735, 1170, 488, 10610, 1125, 1158, 4553, 9298, 31461, 28313, 2134, 6508, 1125, 12466, 1357, 5416, 1370, 1207, 8787, 1167, 14083, 19018, 1215, 1207, 9783, 1197, 2882, 1125, 1158, 4553, 9298, 1362, 1215, 1197, 14292, 10522, 1199, 1313, 1170, 6468, 1227, 4764, 1186, 12094, 1167, 1313, 1170, 7077, 2010, 3879, 121, 2932, 4779, 29551, 1370, 2442, 1207, 6746, 9229, 1285, 9238, 1362, 23095, 16628, 4716, 14743, 1188, 10013, 5964, 1317, 15574, 3041, 3559, 3657, 10593, 5257, 2984, 3611, 1370, 1125, 22957, 17713, 19119, 1318, 16795, 7552, 2136, 1158, 14853, 1227, 10610, 1125, 1158, 4553, 9298, 1469, 1170, 10610, 1197, 25274, 8504, 12343, 1170, 488, 124, 1107, 2749, 488, 124, 132, 132, 129, 119, 1170, 6508, 1125, 12466, 1167, 1561, 16795, 2004, 1913, 14663, 1234, 1317, 10610, 1197, 25274, 21647, 1357, 11341, 14663, 244, 1317, 6508, 1197, 17522, 15067, 6068, 1125, 20502, 1256, 12551, 2666, 7115, 1303, 1158, 4882, 1317, 19454, 1548, 13867, 1110, 4795, 3601, 1186, 2578, 1167, 2584, 488, 124, 132, 132, 129, 121, 11027, 1170, 1859, 1816, 16795, 1299, 5673, 1364, 1317, 6508, 1197, 15018, 15067, 6068, 1125, 1643, 4307, 1245, 5269, 10177, 7863, 1125, 488, 4304, 1104, 9439, 1118, 10791, 5328, 1125, 1158, 4553, 9298, 19296, 1382, 18400, 1317, 2722, 1558, 21937, 190, 1242, 26944, 1125, 488, 124, 132, 129, 123, 1188, 488, 125, 123, 123, 131, 119, 1313, 4428, 7863, 1125, 4304, 1104, 9439, 12781, 1189, 17046, 6564, 1125, 1158, 1622, 1227, 26851, 6298, 1317, 3546, 488, 125, 123, 1125, 1158, 5820, 10438, 1313, 1170, 488, 130, 176, 1188, 18994, 2576, 179, 7863, 1110, 1913, 24511, 1186, 488, 125, 123, 123, 130, 1167, 18616, 11051, 8001, 2567, 1158, 1622, 1125, 488, 125, 123, 123, 131, 8155, 14698, 23982, 1362, 5328, 21295, 1299, 9318, 18400, 1469, 1594, 13078, 1313, 1170, 3631, 12685, 1227, 10610, 1197, 25274, 21647, 18400, 1313, 1282, 20246, 13014, 4583, 1214, 24838, 488, 125, 130, 5820, 1125, 1158, 15504, 1313, 1170, 488, 124, 128, 176, 1125, 6721, 5693, 1125, 1158, 4595, 7400, 1125, 1158, 5549, 4521, 1357, 2367, 1186, 6885, 1909, 8286, 1430, 11488, 1167, 5474, 13374, 11052, 1424, 24752, 10502, 1125, 1158, 4553, 9298, 17877, 1158, 4575, 1197, 24486, 1260, 1772, 2196, 2564, 3415, 12662, 7695, 14064, 2100, 1125, 1158, 2315, 28393, 9298, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 10610, 1125, 1158, 4553, 9298, 119, 9601, 1215, 1170, 4610, 1125, 29539, 1126, 1186, 488, 124, 132, 128, 132, 119, 1299, 1189, 7271, 10610, 1357, 3618, 1256, 21721, 1125, 21762, 1317, 4764, 1197, 1606, 3293, 1227, 4322, 3133, 19420, 1197, 3293, 4716, 14946, 1964, 12009, 1336, 1313, 1170, 4154, 1125, 1158, 1805, 1172, 1105, 28282, 1768, 1299, 18494, 1317, 10610, 1197, 25274, 21647, 2757, 1170, 488, 124, 1107, 2749, 488, 124, 132, 132, 129, 8155, 10610, 3031, 18400, 1313, 1189, 17046, 6564, 1227, 1859, 4428, 7863, 1125, 4304, 1104, 9439, 12781, 8446, 1317, 488, 125, 123, 119, 5820, 10438, 27404, 3862, 1125, 488, 124, 132, 129, 125, 119, 1170, 10610, 1125, 1158, 4553, 9298, 2255, 8103, 1197, 6840, 1690, 1227, 2424, 15006, 12218, 1964, 2424, 11894, 1856, 1736, 1273, 1356, 1701, 1188, 5753, 22636, 1657, 1548, 10610, 28103, 18025, 4449, 4403, 1167, 18025, 4449, 11894, 1313, 1207, 3293, 1125, 1594, 15832, 121, 1653, 488, 124, 132, 129, 127, 119, 1170, 10610, 1125, 1158, 4553, 9298, 6036, 1370, 488, 124, 128, 127, 9783, 2040, 1186, 488, 124, 132, 132, 129, 119, 488, 129, 126, 130, 3403, 1188, 1594, 10932, 2630, 1154, 3476, 488, 126, 129, 129, 1313, 1909, 12632, 1125, 15407, 8155, 5328, 1125, 1158, 4553, 9298, 1299, 5178, 1108, 488, 124, 132, 132, 131, 1189, 5328, 1188, 1910, 22668, 1357, 9209, 1317, 4921, 1197, 24486, 1167, 13300, 1571, 7336, 1125, 25849, 121, 7155, 10905, 12302, 1125, 1158, 8632, 1317, 3937, 1186, 488, 124, 132, 131, 124, 119, 2290, 1170, 13838, 1125, 9228, 1204, 10574, 189, 8255, 1170, 10610, 1299, 9505, 21258, 244, 10610, 1125, 1158, 4553, 9298, 1167, 1227, 5144, 30354, 3041, 1768, 20861, 1594, 1874, 1151, 6821, 1469, 1158, 22928, 1125, 9436, 1248, 6026, 1109, 1317, 8536, 1125, 22994, 1186, 488, 124, 132, 132, 126, 119, 1313, 1170, 5987, 1125, 1736, 179, 25473, 24334, 30590, 15596, 1217, 9357, 4511, 1561, 18908, 13949, 20717, 1568, 1110, 21146, 1158, 2321, 1167, 1110, 2442, 1913, 119, 7328, 1158, 1622, 1125, 1440, 4617, 18497, 1170, 4755, 5328, 1125, 1158, 4553, 9298, 1125, 7331, 21824, 1388, 149, 19191, 5614, 177, 1154, 2982, 1357, 2435, 1110, 6728, 12374, 2290, 1170, 13838, 19795, 1140, 1125, 10759, 20152, 2451, 1167, 1313, 1170, 5987, 16003, 1262, 1321, 5711, 2357, 7328, 1158, 9144, 2203, 1125, 488, 124, 132, 132, 130, 119, 2648, 8179, 1321, 3377, 28399, 1313, 1170, 5987, 1125, 21476, 1140, 1321, 4785, 1109, 1357, 1110, 6728, 1740, 2357, 1282, 1258, 1913, 1317, 3694, 1125, 24486, 31926, 22786, 1234, 1317, 5328, 1197, 25274, 21647, 7745, 1105, 4322, 1299, 25911, 31669, 1188, 9933, 1197, 3293, 19101, 3807, 1125, 6389, 9971, 4866, 2194, 1124, 14662, 2648, 1186, 488, 124, 132, 132, 128, 119, 1571, 15058, 14064, 1925, 7290, 3157, 3807, 1167, 26761, 3157, 3807, 1167, 1571, 3293, 1125, 1158, 3734, 1197, 3091, 5363, 173, 1457, 1643, 23650, 5964, 1125, 4764, 3835, 24591, 1496, 5039, 1303, 1313, 1594, 25818, 6196, 10522, 1370, 2290, 1158, 4438, 1125, 18097, 1362, 1125, 1994, 17587, 1256, 1197, 6943, 4473, 23502, 1525, 21572, 1167, 1215, 1170, 16007, 1125, 1561, 1962, 8469, 1951, 1436, 174, 2086, 1313, 1170, 6485, 11427, 2290, 1158, 4438, 1125, 8258, 7860, 1186, 5564, 1362, 1125, 18097, 3512, 7694, 1388, 15779, 4111, 1167, 12466, 26328, 1500, 1125, 1561, 5735, 1170, 488, 10610, 1125, 1158, 4553, 9298, 31461, 28313, 2134, 6508, 1125, 12466, 1357, 5416, 1370, 1207, 8787, 1167, 14083, 19018, 1215, 1207, 9783, 1197, 2882, 1125, 1158, 4553, 9298, 1362, 1215, 1197, 14292, 10522, 1199, 1313, 1170, 6468, 1227, 4764, 1186, 12094, 1167, 1313, 1170, 7077, 2010, 3879, 121, 2932, 4779, 29551, 1370, 2442, 1207, 6746, 9229, 1285, 9238, 1362, 23095, 16628, 4716, 14743, 1188, 10013, 5964, 1317, 15574, 3041, 3559, 3657, 10593, 5257, 2984, 3611, 1370, 1125, 22957, 17713, 19119, 1318, 16795, 7552, 2136, 1158, 14853, 1227, 10610, 1125, 1158, 4553, 9298, 1469, 1170, 10610, 1197, 25274, 8504, 12343, 1170, 488, 124, 1107, 2749, 488, 124, 132, 132, 129, 119, 1170, 6508, 1125, 12466, 1167, 1561, 16795, 2004, 1913, 14663, 1234, 1317, 10610, 1197, 25274, 21647, 1357, 11341, 14663, 244, 1317, 6508, 1197, 17522, 15067, 6068, 1125, 20502, 1256, 12551, 2666, 7115, 1303, 1158, 4882, 1317, 19454, 1548, 13867, 1110, 4795, 3601, 1186, 2578, 1167, 2584, 488, 124, 132, 132, 129, 121, 11027, 1170, 1859, 1816, 16795, 1299, 5673, 1364, 1317, 6508, 1197, 15018, 15067, 6068, 1125, 1643, 4307, 1245, 5269, 10177, 7863, 1125, 488, 4304, 1104, 9439, 1118, 10791, 5328, 1125, 1158, 4553, 9298, 19296, 1382, 18400, 1317, 2722, 1558, 21937, 190, 1242, 26944, 1125, 488, 124, 132, 129, 123, 1188, 488, 125, 123, 123, 131, 119, 1313, 4428, 7863, 1125, 4304, 1104, 9439, 12781, 1189, 17046, 6564, 1125, 1158, 1622, 1227, 26851, 6298, 1317, 3546, 488, 125, 123, 1125, 1158, 5820, 10438, 1313, 1170, 488, 130, 176, 1188, 18994, 2576, 179, 7863, 1110, 1913, 24511, 1186, 488, 125, 123, 123, 130, 1167, 18616, 11051, 8001, 2567, 1158, 1622, 1125, 488, 125, 123, 123, 131, 8155, 14698, 23982, 1362, 5328, 21295, 1299, 9318, 18400, 1469, 1594, 13078, 1313, 1170, 3631, 12685, 1227, 10610, 1197, 25274, 21647, 18400, 1313, 1282, 20246, 13014, 4583, 1214, 24838, 488, 125, 130, 5820, 1125, 1158, 15504, 1313, 1170, 488, 124, 128, 176, 1125, 6721, 5693, 1125, 1158, 4595, 7400, 1125, 1158, 5549, 4521, 1357, 2367, 1186, 6885, 1909, 8286, 1430, 11488, 1167, 5474, 13374, 11052, 1424, 24752, 10502, 1125, 1158, 4553, 9298, 17877, 1158, 4575, 1197, 24486, 1260, 1772, 2196, 2564, 3415, 12662, 7695, 14064, 2100, 1125, 1158, 2315, 28393, 9298, 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, 1150, 1276, 3303, 2102, 1461, 1142, 1120, 1299, 1318, 16074, 1125, 1177, 12167, 1392, 1227, 7433, 3991, 1150, 1276, 3303, 1167, 1125, 1158, 4446, 1197, 1165, 1766, 244, 15818, 1234, 24962, 174, 4058, 1167, 17817, 14564, 176, 1177, 12167, 1136, 9760, 185, 1289, 1345, 5562, 1313, 1197, 4393, 1889, 2205, 4399, 1257, 1527, 1281, 5209, 1313, 1207, 24429, 29062, 1346, 1207, 3396, 1228, 1104, 1125, 2167, 6026, 13841, 1362, 1207, 1557, 21194, 1768, 1299, 1189, 4393, 1199, 3034, 1460, 1197, 24429, 1171, 2252, 1167, 1125, 29487, 1125, 1158, 5450, 11596, 4654, 1653, 4083, 1309, 4170, 1177, 12167, 4819, 3991, 1150, 1276, 3303, 2102, 1461, 1142, 1120, 1299, 1158, 1223, 1214, 1125, 14547, 2518, 1408, 6596, 1856, 1170, 3276, 1442, 172, 26688, 1273, 1379, 1153, 2166, 1442, 172, 4023, 6880, 1369, 1125, 17817, 5519, 21160, 1276, 3303, 2102, 1461, 1142, 1120, 17657, 1170, 4779, 1167, 1170, 7758, 1227, 1539, 2993, 1167, 1125, 1282, 6016, 1129, 4994, 1643, 8956, 8286, 1366, 1125, 1594, 1110, 1229, 1125, 17817, 1281, 18381, 1313, 1170, 1248, 248, 186, 4273, 178, 1150, 1167, 1170, 1539, 1287, 1178, 121, 8673, 8688, 28000, 119, 1207, 4789, 3738, 1125, 1440, 1177, 12167, 1136, 1186, 4256, 1189, 10187, 2205, 12135, 31070, 18989, 488, 124, 132, 132, 130, 119, 1189, 2511, 2510, 1125, 31616, 4541, 1104, 1299, 12866, 1313, 1207, 24429, 5639, 1227, 12179, 1266, 2194, 2497, 21740, 3982, 1313, 1170, 18762, 13469, 1125, 1282, 6016, 1129, 4994, 1768, 10515, 11129, 1227, 31842, 1113, 5688, 16208, 1125, 29033, 1774, 1188, 9186, 13458, 14091, 3215, 1696, 197, 1137, 1591, 2102, 1146, 3595, 2688, 116, 1469, 1318, 16734, 1408, 11231, 7482, 21160, 1276, 3303, 2102, 1461, 1142, 5068, 1808, 26377, 6143, 1118, 1234, 1300, 1207, 29167, 6096, 1572, 26995, 1139, 1234, 1188, 1282, 24278, 6175, 3310, 1167, 21204, 1137, 1183, 3163, 4537, 3559, 9175, 4541, 1902, 1299, 1170, 7679, 2519, 3391, 1176, 8130, 6900, 1550, 1259, 1460, 1313, 1207, 2602, 1457, 1808, 2792, 1195, 1462, 7184, 1701, 25763, 1234, 1313, 1197, 4370, 3967, 1288, 10993, 2457, 1382, 3937, 1281, 7205, 4868, 121, 1643, 5740, 1288, 11512, 172, 1909, 14434, 3854, 1541, 1980, 6305, 1189, 1151, 11488, 1167, 5474, 25194, 17935, 13374, 11052, 1424, 3991, 1150, 1276, 3303, 7364, 5825, 1424, 1424, 1424, 2093, 157, 12167, 1136, 29610, 11246, 8136, 5578, 1117, 3708, 176, 2105, 25216, 1317, 1539, 2993, 2105, 25216, 1186, 19730, 1314, 114, 32001, 1424, 32000, 20036, 10349, 1150, 1276, 3303, 2102, 1461, 1142, 1120, 1299, 1318, 16074, 1125, 1177, 12167, 1392, 1227, 7433, 3991, 1150, 1276, 3303, 1167, 1125, 1158, 4446, 1197, 1165, 1766, 244, 15818, 1234, 24962, 174, 4058, 1167, 17817, 14564, 176, 1177, 12167, 1136, 9760, 185, 1289, 1345, 5562, 1313, 1197, 4393, 1889, 2205, 4399, 1257, 1527, 1281, 5209, 1313, 1207, 24429, 29062, 1346, 1207, 3396, 1228, 1104, 1125, 2167, 6026, 13841, 1362, 1207, 1557, 21194, 1768, 1299, 1189, 4393, 1199, 3034, 1460, 1197, 24429, 1171, 2252, 1167, 1125, 29487, 1125, 1158, 5450, 11596, 4654, 1653, 4083, 1309, 4170, 1177, 12167, 4819, 3991, 1150, 1276, 3303, 2102, 1461, 1142, 1120, 1299, 1158, 1223, 1214, 1125, 14547, 2518, 1408, 6596, 1856, 1170, 3276, 1442, 172, 26688, 1273, 1379, 1153, 2166, 1442, 172, 4023, 6880, 1369, 1125, 17817, 5519, 21160, 1276, 3303, 2102, 1461, 1142, 1120, 17657, 1170, 4779, 1167, 1170, 7758, 1227, 1539, 2993, 1167, 1125, 1282, 6016, 1129, 4994, 1643, 8956, 8286, 1366, 1125, 1594, 1110, 1229, 1125, 17817, 1281, 18381, 1313, 1170, 1248, 248, 186, 4273, 178, 1150, 1167, 1170, 1539, 1287, 1178, 121, 8673, 8688, 28000, 119, 1207, 4789, 3738, 1125, 1440, 1177, 12167, 1136, 1186, 4256, 1189, 10187, 2205, 12135, 31070, 18989, 488, 124, 132, 132, 130, 119, 1189, 2511, 2510, 1125, 31616, 4541, 1104, 1299, 12866, 1313, 1207, 24429, 5639, 1227, 12179, 1266, 2194, 2497, 21740, 3982, 1313, 1170, 18762, 13469, 1125, 1282, 6016, 1129, 4994, 1768, 10515, 11129, 1227, 31842, 1113, 5688, 16208, 1125, 29033, 1774, 1188, 9186, 13458, 14091, 3215, 1696, 197, 1137, 1591, 2102, 1146, 3595, 2688, 116, 1469, 1318, 16734, 1408, 11231, 7482, 21160, 1276, 3303, 2102, 1461, 1142, 5068, 1808, 26377, 6143, 1118, 1234, 1300, 1207, 29167, 6096, 1572, 26995, 1139, 1234, 1188, 1282, 24278, 6175, 3310, 1167, 21204, 1137, 1183, 3163, 4537, 3559, 9175, 4541, 1902, 1299, 1170, 7679, 2519, 3391, 1176, 8130, 6900, 1550, 1259, 1460, 1313, 1207, 2602, 1457, 1808, 2792, 1195, 1462, 7184, 1701, 25763, 1234, 1313, 1197, 4370, 3967, 1288, 10993, 2457, 1382, 3937, 1281, 7205, 4868, 121, 1643, 5740, 1288, 11512, 172, 1909, 14434, 3854, 1541, 1980, 6305, 1189, 1151, 11488, 1167, 5474, 25194, 17935, 13374, 11052, 1424, 3991, 1150, 1276, 3303, 7364, 5825, 1424, 1424, 1424, 2093, 157, 12167, 1136, 29610, 11246, 8136, 5578, 1117, 3708, 176, 2105, 25216, 1317, 1539, 2993, 2105, 25216, 1186, 19730, 1314, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1150, 1276, 3303, 2102, 1461, 1142, 1120, 1299, 1318, 16074, 1125, 1177, 12167, 1392, 1227, 7433, 3991, 1150, 1276, 3303, 1167, 1125, 1158, 4446, 1197, 1165, 1766, 244, 15818, 1234, 24962, 174, 4058, 1167, 17817, 14564, 176, 1177, 12167, 1136, 9760, 185, 1289, 1345, 5562, 1313, 1197, 4393, 1889, 2205, 4399, 1257, 1527, 1281, 5209, 1313, 1207, 24429, 29062, 1346, 1207, 3396, 1228, 1104, 1125, 2167, 6026, 13841, 1362, 1207, 1557, 21194, 1768, 1299, 1189, 4393, 1199, 3034, 1460, 1197, 24429, 1171, 2252, 1167, 1125, 29487, 1125, 1158, 5450, 11596, 4654, 1653, 4083, 1309, 4170, 1177, 12167, 4819, 3991, 1150, 1276, 3303, 2102, 1461, 1142, 1120, 1299, 1158, 1223, 1214, 1125, 14547, 2518, 1408, 6596, 1856, 1170, 3276, 1442, 172, 26688, 1273, 1379, 1153, 2166, 1442, 172, 4023, 6880, 1369, 1125, 17817, 5519, 21160, 1276, 3303, 2102, 1461, 1142, 1120, 17657, 1170, 4779, 1167, 1170, 7758, 1227, 1539, 2993, 1167, 1125, 1282, 6016, 1129, 4994, 1643, 8956, 8286, 1366, 1125, 1594, 1110, 1229, 1125, 17817, 1281, 18381, 1313, 1170, 1248, 248, 186, 4273, 178, 1150, 1167, 1170, 1539, 1287, 1178, 121, 8673, 8688, 28000, 119, 1207, 4789, 3738, 1125, 1440, 1177, 12167, 1136, 1186, 4256, 1189, 10187, 2205, 12135, 31070, 18989, 488, 124, 132, 132, 130, 119, 1189, 2511, 2510, 1125, 31616, 4541, 1104, 1299, 12866, 1313, 1207, 24429, 5639, 1227, 12179, 1266, 2194, 2497, 21740, 3982, 1313, 1170, 18762, 13469, 1125, 1282, 6016, 1129, 4994, 1768, 10515, 11129, 1227, 31842, 1113, 5688, 16208, 1125, 29033, 1774, 1188, 9186, 13458, 14091, 3215, 1696, 197, 1137, 1591, 2102, 1146, 3595, 2688, 116, 1469, 1318, 16734, 1408, 11231, 7482, 21160, 1276, 3303, 2102, 1461, 1142, 5068, 1808, 26377, 6143, 1118, 1234, 1300, 1207, 29167, 6096, 1572, 26995, 1139, 1234, 1188, 1282, 24278, 6175, 3310, 1167, 21204, 1137, 1183, 3163, 4537, 3559, 9175, 4541, 1902, 1299, 1170, 7679, 2519, 3391, 1176, 8130, 6900, 1550, 1259, 1460, 1313, 1207, 2602, 1457, 1808, 2792, 1195, 1462, 7184, 1701, 25763, 1234, 1313, 1197, 4370, 3967, 1288, 10993, 2457, 1382, 3937, 1281, 7205, 4868, 121, 1643, 5740, 1288, 11512, 172, 1909, 14434, 3854, 1541, 1980, 6305, 1189, 1151, 11488, 1167, 5474, 25194, 17935, 13374, 11052, 1424, 3991, 1150, 1276, 3303, 7364, 5825, 1424, 1424, 1424, 2093, 157, 12167, 1136, 29610, 11246, 8136, 5578, 1117, 3708, 176, 2105, 25216, 1317, 1539, 2993, 2105, 25216, 1186, 19730, 1314, 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, 3644, 6363, 4852, 119, 1125, 1594, 8444, 1874, 25700, 24759, 1173, 1822, 1379, 1299, 1189, 10844, 2038, 8403, 5252, 1170, 488, 124, 131, 2578, 488, 124, 132, 131, 127, 121, 1768, 10809, 1313, 1170, 3274, 29646, 5569, 2499, 1549, 177, 2066, 2757, 488, 125, 123, 123, 125, 121, 14301, 6969, 14218, 1508, 28079, 1107, 1810, 4020, 178, 1217, 1876, 1167, 27405, 1380, 2036, 1768, 1110, 13551, 1188, 9571, 1125, 1158, 16565, 3817, 1527, 3618, 488, 124, 125, 2165, 14231, 2278, 3644, 6363, 1173, 1822, 1379, 1299, 1543, 244, 1188, 1158, 1918, 3382, 6815, 5761, 1188, 17416, 4145, 2333, 15315, 119, 7892, 4654, 1768, 8135, 9365, 1317, 23025, 1167, 1110, 26266, 3341, 2460, 9909, 1285, 2397, 1480, 196, 1352, 8072, 3655, 10741, 1591, 1213, 1293, 2026, 1167, 1410, 9819, 121, 23688, 1170, 1844, 3365, 1288, 3227, 1370, 1382, 1313, 29646, 5569, 2499, 1549, 177, 2066, 1188, 1440, 13144, 28111, 3031, 3839, 11637, 1469, 1410, 9819, 1167, 2397, 1480, 196, 1352, 8072, 3655, 31600, 1996, 19539, 8566, 1469, 3341, 2460, 9909, 190, 1167, 10741, 1591, 1213, 1293, 10327, 6982, 1170, 7882, 1125, 28423, 1105, 16456, 1186, 488, 125, 123, 123, 125, 119, 1527, 1110, 1913, 23693, 1256, 1218, 2014, 1107, 1170, 8536, 1125, 10844, 2038, 5519, 1549, 5569, 2499, 1549, 177, 2066, 2648, 31249, 3618, 19680, 1125, 1158, 16565, 1469, 1170, 3274, 3219, 2768, 1309, 28423, 1105, 1288, 12325, 29468, 1571, 25660, 17718, 1388, 149, 3644, 6363, 3031, 2445, 11637, 1469, 1170, 15722, 3482, 1130, 1125, 2397, 1480, 196, 1352, 8072, 1336, 2040, 12426, 29016, 1659, 7271, 2500, 6711, 1227, 3274, 1410, 1222, 1570, 1673, 1867, 1436, 1427, 121, 1653, 488, 125, 123, 123, 129, 119, 1527, 1110, 20888, 1317, 1248, 1641, 176, 488, 126, 123, 123, 123, 1293, 1255, 3891, 2147, 1105, 3151, 9893, 3031, 1189, 9893, 1125, 27405, 1380, 2036, 1768, 3618, 488, 124, 125, 2165, 25886, 4096, 24885, 4196, 7464, 1110, 27215, 4766, 3458, 10031, 1125, 17176, 7542, 1909, 8091, 4092, 1188, 19543, 22055, 1256, 18043, 1170, 6315, 1227, 11468, 10844, 2038, 5519, 1549, 5569, 2499, 1549, 177, 2066, 119, 28423, 1105, 16456, 119, 2391, 2519, 1125, 2770, 5505, 2806, 2648, 31249, 3031, 1921, 1186, 23931, 1469, 29646, 5569, 2499, 1549, 177, 2066, 1186, 4083, 1309, 1606, 7248, 1214, 4821, 4466, 8091, 10031, 1971, 22733, 5034, 6734, 3515, 26639, 11051, 1396, 2960, 19543, 1256, 8753, 1170, 10844, 2038, 18183, 1227, 3274, 12258, 18449, 7536, 1256, 1158, 3453, 2768, 1300, 1964, 6311, 6030, 1325, 5635, 1135, 18525, 4414, 1778, 1170, 30485, 1527, 15644, 1370, 5125, 1606, 28111, 1524, 1300, 1909, 1574, 2430, 1104, 7328, 1440, 1309, 2397, 1480, 196, 2435, 5209, 1170, 1874, 1606, 28111, 4852, 3133, 1167, 1313, 1170, 17557, 3454, 2438, 1625, 119, 1527, 2690, 133, 1606, 174, 4460, 1594, 1245, 2841, 5550, 13024, 13678, 5593, 1170, 2854, 3811, 1275, 3256, 1659, 2774, 2841, 1933, 1971, 7044, 16954, 1251, 7970, 1469, 3329, 2036, 214, 19155, 1128, 15180, 2911, 1635, 1532, 16565, 106, 1173, 1512, 174, 1213, 28111, 4852, 11268, 1861, 30983, 106, 8471, 16269, 15596, 10397, 3318, 1753, 1149, 157, 1242, 30983, 106, 8471, 16269, 15596, 10397, 1712, 1173, 1213, 5006, 106, 8471, 16269, 15596, 10397, 1712, 488, 126, 123, 1276, 4670, 1879, 1626, 1753, 1149, 2091, 30983, 1324, 2499, 3291, 1157, 1222, 5272, 1119, 30983, 10414, 1173, 13367, 120, 127, 5730, 1173, 149, 141, 120, 126, 185, 106, 31315, 30983, 106, 1248, 19503, 3021, 1107, 10844, 106, 3506, 1212, 1310, 10844, 21036, 1291, 2496, 2518, 106, 4148, 25754, 29633, 159, 488, 131, 195, 124, 123, 13531, 106, 7494, 1333, 1108, 12504, 189, 1277, 2104, 488, 127, 124, 125, 4273, 186, 7078, 106, 7494, 1333, 1108, 12504, 189, 1277, 2104, 488, 131, 195, 124, 123, 4273, 186, 7078, 106, 7494, 1333, 1108, 12504, 189, 1277, 2104, 488, 124, 123, 123, 124, 1248, 141, 13438, 106, 7494, 1333, 1108, 12504, 189, 1277, 2104, 488, 125, 123, 123, 124, 1248, 141, 13438, 18024, 12463, 1433, 6329, 1260, 7494, 1333, 1108, 12504, 189, 1277, 2104, 488, 131, 123, 123, 157, 141, 13438, 1566, 1740, 2137, 28470, 2298, 106, 22523, 183, 1273, 488, 124, 123, 128, 156, 27444, 173, 9621, 30983, 1325, 2194, 106, 17888, 488, 125, 124, 11567, 140, 2402, 1248, 15470, 30983, 1222, 5674, 16305, 106, 1204, 163, 157, 1204, 120, 131, 123, 30983, 9941, 148, 15500, 125, 1260, 1306, 125, 154, 1200, 2647, 1176, 1539, 1121, 1153, 1673, 1254, 1210, 9945, 1204, 163, 157, 1321, 143, 3046, 131, 126, 30983, 6291, 1250, 176, 1539, 1121, 1153, 106, 1233, 3377, 1293, 12383, 120, 130, 30983, 11496, 1132, 6787, 106, 1233, 3377, 1173, 164, 141, 120, 128, 30983, 10741, 1276, 1104, 6787, 106, 1233, 3377, 18435, 120, 125, 3550, 1439, 12680, 1942, 1121, 106, 1233, 3377, 1198, 160, 120, 126, 3211, 1137, 2376, 1198, 1145, 1107, 18560, 21443, 106, 8471, 16269, 15596, 488, 125, 131, 126, 124, 9782, 1173, 5273, 196, 30983, 2896, 2523, 22523, 183, 1273, 5861, 2855, 2508, 1130, 1290, 4347, 106, 22523, 183, 1273, 1198, 2529, 195, 1202, 5836, 6597, 6680, 190, 15948, 1673, 19784, 1194, 8857, 1829, 5519, 1549, 5569, 2499, 1549, 177, 2066, 2056, 1322, 2038, 8403, 1125, 14259, 13650, 8156, 1186, 2578, 488, 124, 132, 131, 127, 7201, 1125, 8077, 32001, 1424, 32000, 20036, 2278, 3644, 6363, 4852, 119, 1125, 1594, 8444, 1874, 25700, 24759, 1173, 1822, 1379, 1299, 1189, 10844, 2038, 8403, 5252, 1170, 488, 124, 131, 2578, 488, 124, 132, 131, 127, 121, 1768, 10809, 1313, 1170, 3274, 29646, 5569, 2499, 1549, 177, 2066, 2757, 488, 125, 123, 123, 125, 121, 14301, 6969, 14218, 1508, 28079, 1107, 1810, 4020, 178, 1217, 1876, 1167, 27405, 1380, 2036, 1768, 1110, 13551, 1188, 9571, 1125, 1158, 16565, 3817, 1527, 3618, 488, 124, 125, 2165, 14231, 2278, 3644, 6363, 1173, 1822, 1379, 1299, 1543, 244, 1188, 1158, 1918, 3382, 6815, 5761, 1188, 17416, 4145, 2333, 15315, 119, 7892, 4654, 1768, 8135, 9365, 1317, 23025, 1167, 1110, 26266, 3341, 2460, 9909, 1285, 2397, 1480, 196, 1352, 8072, 3655, 10741, 1591, 1213, 1293, 2026, 1167, 1410, 9819, 121, 23688, 1170, 1844, 3365, 1288, 3227, 1370, 1382, 1313, 29646, 5569, 2499, 1549, 177, 2066, 1188, 1440, 13144, 28111, 3031, 3839, 11637, 1469, 1410, 9819, 1167, 2397, 1480, 196, 1352, 8072, 3655, 31600, 1996, 19539, 8566, 1469, 3341, 2460, 9909, 190, 1167, 10741, 1591, 1213, 1293, 10327, 6982, 1170, 7882, 1125, 28423, 1105, 16456, 1186, 488, 125, 123, 123, 125, 119, 1527, 1110, 1913, 23693, 1256, 1218, 2014, 1107, 1170, 8536, 1125, 10844, 2038, 5519, 1549, 5569, 2499, 1549, 177, 2066, 2648, 31249, 3618, 19680, 1125, 1158, 16565, 1469, 1170, 3274, 3219, 2768, 1309, 28423, 1105, 1288, 12325, 29468, 1571, 25660, 17718, 1388, 149, 3644, 6363, 3031, 2445, 11637, 1469, 1170, 15722, 3482, 1130, 1125, 2397, 1480, 196, 1352, 8072, 1336, 2040, 12426, 29016, 1659, 7271, 2500, 6711, 1227, 3274, 1410, 1222, 1570, 1673, 1867, 1436, 1427, 121, 1653, 488, 125, 123, 123, 129, 119, 1527, 1110, 20888, 1317, 1248, 1641, 176, 488, 126, 123, 123, 123, 1293, 1255, 3891, 2147, 1105, 3151, 9893, 3031, 1189, 9893, 1125, 27405, 1380, 2036, 1768, 3618, 488, 124, 125, 2165, 25886, 4096, 24885, 4196, 7464, 1110, 27215, 4766, 3458, 10031, 1125, 17176, 7542, 1909, 8091, 4092, 1188, 19543, 22055, 1256, 18043, 1170, 6315, 1227, 11468, 10844, 2038, 5519, 1549, 5569, 2499, 1549, 177, 2066, 119, 28423, 1105, 16456, 119, 2391, 2519, 1125, 2770, 5505, 2806, 2648, 31249, 3031, 1921, 1186, 23931, 1469, 29646, 5569, 2499, 1549, 177, 2066, 1186, 4083, 1309, 1606, 7248, 1214, 4821, 4466, 8091, 10031, 1971, 22733, 5034, 6734, 3515, 26639, 11051, 1396, 2960, 19543, 1256, 8753, 1170, 10844, 2038, 18183, 1227, 3274, 12258, 18449, 7536, 1256, 1158, 3453, 2768, 1300, 1964, 6311, 6030, 1325, 5635, 1135, 18525, 4414, 1778, 1170, 30485, 1527, 15644, 1370, 5125, 1606, 28111, 1524, 1300, 1909, 1574, 2430, 1104, 7328, 1440, 1309, 2397, 1480, 196, 2435, 5209, 1170, 1874, 1606, 28111, 4852, 3133, 1167, 1313, 1170, 17557, 3454, 2438, 1625, 119, 1527, 2690, 133, 1606, 174, 4460, 1594, 1245, 2841, 5550, 13024, 13678, 5593, 1170, 2854, 3811, 1275, 3256, 1659, 2774, 2841, 1933, 1971, 7044, 16954, 1251, 7970, 1469, 3329, 2036, 214, 19155, 1128, 15180, 2911, 1635, 1532, 16565, 106, 1173, 1512, 174, 1213, 28111, 4852, 11268, 1861, 30983, 106, 8471, 16269, 15596, 10397, 3318, 1753, 1149, 157, 1242, 30983, 106, 8471, 16269, 15596, 10397, 1712, 1173, 1213, 5006, 106, 8471, 16269, 15596, 10397, 1712, 488, 126, 123, 1276, 4670, 1879, 1626, 1753, 1149, 2091, 30983, 1324, 2499, 3291, 1157, 1222, 5272, 1119, 30983, 10414, 1173, 13367, 120, 127, 5730, 1173, 149, 141, 120, 126, 185, 106, 31315, 30983, 106, 1248, 19503, 3021, 1107, 10844, 106, 3506, 1212, 1310, 10844, 21036, 1291, 2496, 2518, 106, 4148, 25754, 29633, 159, 488, 131, 195, 124, 123, 13531, 106, 7494, 1333, 1108, 12504, 189, 1277, 2104, 488, 127, 124, 125, 4273, 186, 7078, 106, 7494, 1333, 1108, 12504, 189, 1277, 2104, 488, 131, 195, 124, 123, 4273, 186, 7078, 106, 7494, 1333, 1108, 12504, 189, 1277, 2104, 488, 124, 123, 123, 124, 1248, 141, 13438, 106, 7494, 1333, 1108, 12504, 189, 1277, 2104, 488, 125, 123, 123, 124, 1248, 141, 13438, 18024, 12463, 1433, 6329, 1260, 7494, 1333, 1108, 12504, 189, 1277, 2104, 488, 131, 123, 123, 157, 141, 13438, 1566, 1740, 2137, 28470, 2298, 106, 22523, 183, 1273, 488, 124, 123, 128, 156, 27444, 173, 9621, 30983, 1325, 2194, 106, 17888, 488, 125, 124, 11567, 140, 2402, 1248, 15470, 30983, 1222, 5674, 16305, 106, 1204, 163, 157, 1204, 120, 131, 123, 30983, 9941, 148, 15500, 125, 1260, 1306, 125, 154, 1200, 2647, 1176, 1539, 1121, 1153, 1673, 1254, 1210, 9945, 1204, 163, 157, 1321, 143, 3046, 131, 126, 30983, 6291, 1250, 176, 1539, 1121, 1153, 106, 1233, 3377, 1293, 12383, 120, 130, 30983, 11496, 1132, 6787, 106, 1233, 3377, 1173, 164, 141, 120, 128, 30983, 10741, 1276, 1104, 6787, 106, 1233, 3377, 18435, 120, 125, 3550, 1439, 12680, 1942, 1121, 106, 1233, 3377, 1198, 160, 120, 126, 3211, 1137, 2376, 1198, 1145, 1107, 18560, 21443, 106, 8471, 16269, 15596, 488, 125, 131, 126, 124, 9782, 1173, 5273, 196, 30983, 2896, 2523, 22523, 183, 1273, 5861, 2855, 2508, 1130, 1290, 4347, 106, 22523, 183, 1273, 1198, 2529, 195, 1202, 5836, 6597, 6680, 190, 15948, 1673, 19784, 1194, 8857, 1829, 5519, 1549, 5569, 2499, 1549, 177, 2066, 2056, 1322, 2038, 8403, 1125, 14259, 13650, 8156, 1186, 2578, 488, 124, 132, 131, 127, 7201, 1125, 8077, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 6363, 4852, 119, 1125, 1594, 8444, 1874, 25700, 24759, 1173, 1822, 1379, 1299, 1189, 10844, 2038, 8403, 5252, 1170, 488, 124, 131, 2578, 488, 124, 132, 131, 127, 121, 1768, 10809, 1313, 1170, 3274, 29646, 5569, 2499, 1549, 177, 2066, 2757, 488, 125, 123, 123, 125, 121, 14301, 6969, 14218, 1508, 28079, 1107, 1810, 4020, 178, 1217, 1876, 1167, 27405, 1380, 2036, 1768, 1110, 13551, 1188, 9571, 1125, 1158, 16565, 3817, 1527, 3618, 488, 124, 125, 2165, 14231, 2278, 3644, 6363, 1173, 1822, 1379, 1299, 1543, 244, 1188, 1158, 1918, 3382, 6815, 5761, 1188, 17416, 4145, 2333, 15315, 119, 7892, 4654, 1768, 8135, 9365, 1317, 23025, 1167, 1110, 26266, 3341, 2460, 9909, 1285, 2397, 1480, 196, 1352, 8072, 3655, 10741, 1591, 1213, 1293, 2026, 1167, 1410, 9819, 121, 23688, 1170, 1844, 3365, 1288, 3227, 1370, 1382, 1313, 29646, 5569, 2499, 1549, 177, 2066, 1188, 1440, 13144, 28111, 3031, 3839, 11637, 1469, 1410, 9819, 1167, 2397, 1480, 196, 1352, 8072, 3655, 31600, 1996, 19539, 8566, 1469, 3341, 2460, 9909, 190, 1167, 10741, 1591, 1213, 1293, 10327, 6982, 1170, 7882, 1125, 28423, 1105, 16456, 1186, 488, 125, 123, 123, 125, 119, 1527, 1110, 1913, 23693, 1256, 1218, 2014, 1107, 1170, 8536, 1125, 10844, 2038, 5519, 1549, 5569, 2499, 1549, 177, 2066, 2648, 31249, 3618, 19680, 1125, 1158, 16565, 1469, 1170, 3274, 3219, 2768, 1309, 28423, 1105, 1288, 12325, 29468, 1571, 25660, 17718, 1388, 149, 3644, 6363, 3031, 2445, 11637, 1469, 1170, 15722, 3482, 1130, 1125, 2397, 1480, 196, 1352, 8072, 1336, 2040, 12426, 29016, 1659, 7271, 2500, 6711, 1227, 3274, 1410, 1222, 1570, 1673, 1867, 1436, 1427, 121, 1653, 488, 125, 123, 123, 129, 119, 1527, 1110, 20888, 1317, 1248, 1641, 176, 488, 126, 123, 123, 123, 1293, 1255, 3891, 2147, 1105, 3151, 9893, 3031, 1189, 9893, 1125, 27405, 1380, 2036, 1768, 3618, 488, 124, 125, 2165, 25886, 4096, 24885, 4196, 7464, 1110, 27215, 4766, 3458, 10031, 1125, 17176, 7542, 1909, 8091, 4092, 1188, 19543, 22055, 1256, 18043, 1170, 6315, 1227, 11468, 10844, 2038, 5519, 1549, 5569, 2499, 1549, 177, 2066, 119, 28423, 1105, 16456, 119, 2391, 2519, 1125, 2770, 5505, 2806, 2648, 31249, 3031, 1921, 1186, 23931, 1469, 29646, 5569, 2499, 1549, 177, 2066, 1186, 4083, 1309, 1606, 7248, 1214, 4821, 4466, 8091, 10031, 1971, 22733, 5034, 6734, 3515, 26639, 11051, 1396, 2960, 19543, 1256, 8753, 1170, 10844, 2038, 18183, 1227, 3274, 12258, 18449, 7536, 1256, 1158, 3453, 2768, 1300, 1964, 6311, 6030, 1325, 5635, 1135, 18525, 4414, 1778, 1170, 30485, 1527, 15644, 1370, 5125, 1606, 28111, 1524, 1300, 1909, 1574, 2430, 1104, 7328, 1440, 1309, 2397, 1480, 196, 2435, 5209, 1170, 1874, 1606, 28111, 4852, 3133, 1167, 1313, 1170, 17557, 3454, 2438, 1625, 119, 1527, 2690, 133, 1606, 174, 4460, 1594, 1245, 2841, 5550, 13024, 13678, 5593, 1170, 2854, 3811, 1275, 3256, 1659, 2774, 2841, 1933, 1971, 7044, 16954, 1251, 7970, 1469, 3329, 2036, 214, 19155, 1128, 15180, 2911, 1635, 1532, 16565, 106, 1173, 1512, 174, 1213, 28111, 4852, 11268, 1861, 30983, 106, 8471, 16269, 15596, 10397, 3318, 1753, 1149, 157, 1242, 30983, 106, 8471, 16269, 15596, 10397, 1712, 1173, 1213, 5006, 106, 8471, 16269, 15596, 10397, 1712, 488, 126, 123, 1276, 4670, 1879, 1626, 1753, 1149, 2091, 30983, 1324, 2499, 3291, 1157, 1222, 5272, 1119, 30983, 10414, 1173, 13367, 120, 127, 5730, 1173, 149, 141, 120, 126, 185, 106, 31315, 30983, 106, 1248, 19503, 3021, 1107, 10844, 106, 3506, 1212, 1310, 10844, 21036, 1291, 2496, 2518, 106, 4148, 25754, 29633, 159, 488, 131, 195, 124, 123, 13531, 106, 7494, 1333, 1108, 12504, 189, 1277, 2104, 488, 127, 124, 125, 4273, 186, 7078, 106, 7494, 1333, 1108, 12504, 189, 1277, 2104, 488, 131, 195, 124, 123, 4273, 186, 7078, 106, 7494, 1333, 1108, 12504, 189, 1277, 2104, 488, 124, 123, 123, 124, 1248, 141, 13438, 106, 7494, 1333, 1108, 12504, 189, 1277, 2104, 488, 125, 123, 123, 124, 1248, 141, 13438, 18024, 12463, 1433, 6329, 1260, 7494, 1333, 1108, 12504, 189, 1277, 2104, 488, 131, 123, 123, 157, 141, 13438, 1566, 1740, 2137, 28470, 2298, 106, 22523, 183, 1273, 488, 124, 123, 128, 156, 27444, 173, 9621, 30983, 1325, 2194, 106, 17888, 488, 125, 124, 11567, 140, 2402, 1248, 15470, 30983, 1222, 5674, 16305, 106, 1204, 163, 157, 1204, 120, 131, 123, 30983, 9941, 148, 15500, 125, 1260, 1306, 125, 154, 1200, 2647, 1176, 1539, 1121, 1153, 1673, 1254, 1210, 9945, 1204, 163, 157, 1321, 143, 3046, 131, 126, 30983, 6291, 1250, 176, 1539, 1121, 1153, 106, 1233, 3377, 1293, 12383, 120, 130, 30983, 11496, 1132, 6787, 106, 1233, 3377, 1173, 164, 141, 120, 128, 30983, 10741, 1276, 1104, 6787, 106, 1233, 3377, 18435, 120, 125, 3550, 1439, 12680, 1942, 1121, 106, 1233, 3377, 1198, 160, 120, 126, 3211, 1137, 2376, 1198, 1145, 1107, 18560, 21443, 106, 8471, 16269, 15596, 488, 125, 131, 126, 124, 9782, 1173, 5273, 196, 30983, 2896, 2523, 22523, 183, 1273, 5861, 2855, 2508, 1130, 1290, 4347, 106, 22523, 183, 1273, 1198, 2529, 195, 1202, 5836, 6597, 6680, 190, 15948, 1673, 19784, 1194, 8857, 1829, 5519, 1549, 5569, 2499, 1549, 177, 2066, 2056, 1322, 2038, 8403, 1125, 14259, 13650, 8156, 1186, 2578, 488, 124, 132, 131, 127, 7201, 1125, 8077, 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, 145, 10236, 7187, 1204, 1538, 1208, 5520, 5252, 1170, 488, 488, 125, 131, 3201, 488, 124, 132, 130, 125, 1188, 1204, 1274, 5945, 1810, 1299, 1189, 10952, 1125, 24755, 1188, 11402, 2973, 13666, 14023, 10236, 7187, 1204, 3706, 197, 4319, 172, 2205, 6018, 1186, 4924, 1304, 6016, 1129, 3603, 1527, 2985, 2217, 7153, 244, 2714, 23879, 19394, 1256, 2782, 20748, 244, 1170, 6311, 3028, 9400, 5612, 1192, 1784, 7362, 1186, 488, 124, 132, 132, 123, 13699, 3706, 197, 3512, 172, 1188, 3203, 1165, 18459, 1227, 2854, 1125, 24755, 12258, 3227, 172, 1256, 1170, 1266, 12690, 12258, 1110, 2445, 19680, 1256, 1233, 1495, 28319, 29201, 5584, 1174, 26587, 1173, 18389, 1469, 5685, 1527, 18241, 172, 1158, 11609, 22572, 1125, 24755, 488, 125, 123, 123, 123, 119, 1188, 1233, 3102, 1328, 3551, 6993, 1541, 25886, 4096, 1194, 2809, 3913, 26581, 6614, 1424, 1204, 1274, 5945, 172, 28152, 7328, 488, 124, 132, 132, 129, 106, 2460, 28235, 1637, 1266, 12690, 488, 124, 132, 132, 129, 106, 1233, 1495, 28319, 3176, 488, 124, 132, 132, 130, 120, 124, 132, 132, 131, 106, 5584, 1174, 26587, 1173, 18389, 488, 124, 132, 132, 131, 120, 125, 123, 123, 123, 106, 11065, 1233, 3102, 1328, 3551, 6993, 1541, 488, 125, 123, 123, 123, 120, 125, 123, 123, 124, 106, 1266, 12690, 2460, 28235, 488, 125, 123, 123, 125, 106, 1204, 1274, 5945, 172, 28152, 488, 125, 123, 123, 125, 120, 125, 123, 123, 128, 106, 13455, 8448, 2588, 488, 125, 123, 123, 128, 120, 125, 123, 123, 129, 23435, 15565, 5277, 28912, 10236, 7187, 1204, 3706, 197, 1110, 9918, 488, 130, 127, 5266, 190, 21094, 1186, 4924, 1304, 6016, 1129, 3603, 1527, 1844, 1909, 28407, 488, 1170, 488, 488, 125, 127, 3201, 488, 124, 132, 132, 123, 488, 2714, 10796, 16939, 21511, 121, 6280, 6128, 1465, 18443, 1856, 1202, 19093, 1110, 3601, 1170, 488, 488, 129, 3201, 488, 125, 123, 123, 128, 488, 2714, 1207, 15133, 173, 1387, 190, 8732, 26361, 1194, 2809, 1287, 12498, 6494, 22572, 488, 124, 132, 132, 131, 12498, 6494, 22572, 488, 125, 123, 123, 123, 11934, 244, 6995, 21170, 1424, 488, 130, 127, 5266, 190, 1186, 4924, 1304, 6016, 25707, 2487, 488, 125, 2768, 25468, 1186, 488, 125, 123, 123, 127, 106, 488, 124, 127, 26520, 106, 488, 130, 123, 2151, 2523, 25343, 1125, 5266, 190, 1215, 5910, 1257, 488, 125, 1186, 488, 124, 132, 132, 123, 119, 488, 128, 1186, 488, 124, 132, 132, 124, 119, 488, 129, 1186, 488, 124, 132, 132, 125, 119, 488, 127, 1186, 488, 124, 132, 132, 127, 119, 488, 124, 126, 1186, 488, 124, 132, 132, 128, 119, 488, 125, 1186, 488, 124, 132, 132, 129, 119, 488, 124, 1186, 488, 124, 132, 132, 130, 119, 488, 132, 1186, 488, 124, 132, 132, 131, 119, 488, 125, 1186, 488, 124, 132, 132, 132, 119, 488, 128, 1186, 488, 125, 123, 123, 123, 119, 488, 128, 1186, 488, 125, 123, 123, 124, 119, 488, 130, 1186, 488, 125, 123, 123, 125, 119, 488, 130, 1186, 488, 125, 123, 123, 126, 119, 488, 129, 1186, 488, 125, 123, 123, 127, 1155, 23873, 1162, 1188, 1158, 11609, 1227, 2854, 1125, 24755, 1257, 488, 124, 132, 132, 124, 1175, 125, 20825, 20096, 3392, 488, 125, 1856, 12456, 1496, 488, 124, 132, 132, 128, 1175, 126, 119, 488, 126, 1496, 488, 125, 123, 123, 126, 1175, 125, 119, 488, 125, 4023, 20634, 1167, 16828, 5825, 1424, 2093, 149, 12590, 4578, 2973, 13666, 1125, 24755, 1188, 11402, 14601, 1197, 1266, 12690, 2460, 28235, 14601, 1125, 1233, 1495, 28319, 3176, 14601, 1197, 5584, 1174, 26587, 1173, 18389, 14601, 1227, 11065, 16049, 1233, 3102, 1328, 14601, 1197, 2460, 28235, 14601, 1125, 1158, 13455, 8448, 2588, 1853, 1132, 12132, 14200, 1839, 3176, 1188, 11402, 10225, 23243, 14200, 1839, 3176, 1188, 11402, 12537, 3400, 1186, 3201, 488, 124, 132, 130, 125, 8156, 1188, 1204, 1274, 5945, 172, 114, 32001, 1424, 32000, 20036, 2105, 10236, 7187, 1204, 1538, 1208, 5520, 5252, 1170, 488, 488, 125, 131, 3201, 488, 124, 132, 130, 125, 1188, 1204, 1274, 5945, 1810, 1299, 1189, 10952, 1125, 24755, 1188, 11402, 2973, 13666, 14023, 10236, 7187, 1204, 3706, 197, 4319, 172, 2205, 6018, 1186, 4924, 1304, 6016, 1129, 3603, 1527, 2985, 2217, 7153, 244, 2714, 23879, 19394, 1256, 2782, 20748, 244, 1170, 6311, 3028, 9400, 5612, 1192, 1784, 7362, 1186, 488, 124, 132, 132, 123, 13699, 3706, 197, 3512, 172, 1188, 3203, 1165, 18459, 1227, 2854, 1125, 24755, 12258, 3227, 172, 1256, 1170, 1266, 12690, 12258, 1110, 2445, 19680, 1256, 1233, 1495, 28319, 29201, 5584, 1174, 26587, 1173, 18389, 1469, 5685, 1527, 18241, 172, 1158, 11609, 22572, 1125, 24755, 488, 125, 123, 123, 123, 119, 1188, 1233, 3102, 1328, 3551, 6993, 1541, 25886, 4096, 1194, 2809, 3913, 26581, 6614, 1424, 1204, 1274, 5945, 172, 28152, 7328, 488, 124, 132, 132, 129, 106, 2460, 28235, 1637, 1266, 12690, 488, 124, 132, 132, 129, 106, 1233, 1495, 28319, 3176, 488, 124, 132, 132, 130, 120, 124, 132, 132, 131, 106, 5584, 1174, 26587, 1173, 18389, 488, 124, 132, 132, 131, 120, 125, 123, 123, 123, 106, 11065, 1233, 3102, 1328, 3551, 6993, 1541, 488, 125, 123, 123, 123, 120, 125, 123, 123, 124, 106, 1266, 12690, 2460, 28235, 488, 125, 123, 123, 125, 106, 1204, 1274, 5945, 172, 28152, 488, 125, 123, 123, 125, 120, 125, 123, 123, 128, 106, 13455, 8448, 2588, 488, 125, 123, 123, 128, 120, 125, 123, 123, 129, 23435, 15565, 5277, 28912, 10236, 7187, 1204, 3706, 197, 1110, 9918, 488, 130, 127, 5266, 190, 21094, 1186, 4924, 1304, 6016, 1129, 3603, 1527, 1844, 1909, 28407, 488, 1170, 488, 488, 125, 127, 3201, 488, 124, 132, 132, 123, 488, 2714, 10796, 16939, 21511, 121, 6280, 6128, 1465, 18443, 1856, 1202, 19093, 1110, 3601, 1170, 488, 488, 129, 3201, 488, 125, 123, 123, 128, 488, 2714, 1207, 15133, 173, 1387, 190, 8732, 26361, 1194, 2809, 1287, 12498, 6494, 22572, 488, 124, 132, 132, 131, 12498, 6494, 22572, 488, 125, 123, 123, 123, 11934, 244, 6995, 21170, 1424, 488, 130, 127, 5266, 190, 1186, 4924, 1304, 6016, 25707, 2487, 488, 125, 2768, 25468, 1186, 488, 125, 123, 123, 127, 106, 488, 124, 127, 26520, 106, 488, 130, 123, 2151, 2523, 25343, 1125, 5266, 190, 1215, 5910, 1257, 488, 125, 1186, 488, 124, 132, 132, 123, 119, 488, 128, 1186, 488, 124, 132, 132, 124, 119, 488, 129, 1186, 488, 124, 132, 132, 125, 119, 488, 127, 1186, 488, 124, 132, 132, 127, 119, 488, 124, 126, 1186, 488, 124, 132, 132, 128, 119, 488, 125, 1186, 488, 124, 132, 132, 129, 119, 488, 124, 1186, 488, 124, 132, 132, 130, 119, 488, 132, 1186, 488, 124, 132, 132, 131, 119, 488, 125, 1186, 488, 124, 132, 132, 132, 119, 488, 128, 1186, 488, 125, 123, 123, 123, 119, 488, 128, 1186, 488, 125, 123, 123, 124, 119, 488, 130, 1186, 488, 125, 123, 123, 125, 119, 488, 130, 1186, 488, 125, 123, 123, 126, 119, 488, 129, 1186, 488, 125, 123, 123, 127, 1155, 23873, 1162, 1188, 1158, 11609, 1227, 2854, 1125, 24755, 1257, 488, 124, 132, 132, 124, 1175, 125, 20825, 20096, 3392, 488, 125, 1856, 12456, 1496, 488, 124, 132, 132, 128, 1175, 126, 119, 488, 126, 1496, 488, 125, 123, 123, 126, 1175, 125, 119, 488, 125, 4023, 20634, 1167, 16828, 5825, 1424, 2093, 149, 12590, 4578, 2973, 13666, 1125, 24755, 1188, 11402, 14601, 1197, 1266, 12690, 2460, 28235, 14601, 1125, 1233, 1495, 28319, 3176, 14601, 1197, 5584, 1174, 26587, 1173, 18389, 14601, 1227, 11065, 16049, 1233, 3102, 1328, 14601, 1197, 2460, 28235, 14601, 1125, 1158, 13455, 8448, 2588, 1853, 1132, 12132, 14200, 1839, 3176, 1188, 11402, 10225, 23243, 14200, 1839, 3176, 1188, 11402, 12537, 3400, 1186, 3201, 488, 124, 132, 130, 125, 8156, 1188, 1204, 1274, 5945, 172, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2105, 10236, 7187, 1204, 1538, 1208, 5520, 5252, 1170, 488, 488, 125, 131, 3201, 488, 124, 132, 130, 125, 1188, 1204, 1274, 5945, 1810, 1299, 1189, 10952, 1125, 24755, 1188, 11402, 2973, 13666, 14023, 10236, 7187, 1204, 3706, 197, 4319, 172, 2205, 6018, 1186, 4924, 1304, 6016, 1129, 3603, 1527, 2985, 2217, 7153, 244, 2714, 23879, 19394, 1256, 2782, 20748, 244, 1170, 6311, 3028, 9400, 5612, 1192, 1784, 7362, 1186, 488, 124, 132, 132, 123, 13699, 3706, 197, 3512, 172, 1188, 3203, 1165, 18459, 1227, 2854, 1125, 24755, 12258, 3227, 172, 1256, 1170, 1266, 12690, 12258, 1110, 2445, 19680, 1256, 1233, 1495, 28319, 29201, 5584, 1174, 26587, 1173, 18389, 1469, 5685, 1527, 18241, 172, 1158, 11609, 22572, 1125, 24755, 488, 125, 123, 123, 123, 119, 1188, 1233, 3102, 1328, 3551, 6993, 1541, 25886, 4096, 1194, 2809, 3913, 26581, 6614, 1424, 1204, 1274, 5945, 172, 28152, 7328, 488, 124, 132, 132, 129, 106, 2460, 28235, 1637, 1266, 12690, 488, 124, 132, 132, 129, 106, 1233, 1495, 28319, 3176, 488, 124, 132, 132, 130, 120, 124, 132, 132, 131, 106, 5584, 1174, 26587, 1173, 18389, 488, 124, 132, 132, 131, 120, 125, 123, 123, 123, 106, 11065, 1233, 3102, 1328, 3551, 6993, 1541, 488, 125, 123, 123, 123, 120, 125, 123, 123, 124, 106, 1266, 12690, 2460, 28235, 488, 125, 123, 123, 125, 106, 1204, 1274, 5945, 172, 28152, 488, 125, 123, 123, 125, 120, 125, 123, 123, 128, 106, 13455, 8448, 2588, 488, 125, 123, 123, 128, 120, 125, 123, 123, 129, 23435, 15565, 5277, 28912, 10236, 7187, 1204, 3706, 197, 1110, 9918, 488, 130, 127, 5266, 190, 21094, 1186, 4924, 1304, 6016, 1129, 3603, 1527, 1844, 1909, 28407, 488, 1170, 488, 488, 125, 127, 3201, 488, 124, 132, 132, 123, 488, 2714, 10796, 16939, 21511, 121, 6280, 6128, 1465, 18443, 1856, 1202, 19093, 1110, 3601, 1170, 488, 488, 129, 3201, 488, 125, 123, 123, 128, 488, 2714, 1207, 15133, 173, 1387, 190, 8732, 26361, 1194, 2809, 1287, 12498, 6494, 22572, 488, 124, 132, 132, 131, 12498, 6494, 22572, 488, 125, 123, 123, 123, 11934, 244, 6995, 21170, 1424, 488, 130, 127, 5266, 190, 1186, 4924, 1304, 6016, 25707, 2487, 488, 125, 2768, 25468, 1186, 488, 125, 123, 123, 127, 106, 488, 124, 127, 26520, 106, 488, 130, 123, 2151, 2523, 25343, 1125, 5266, 190, 1215, 5910, 1257, 488, 125, 1186, 488, 124, 132, 132, 123, 119, 488, 128, 1186, 488, 124, 132, 132, 124, 119, 488, 129, 1186, 488, 124, 132, 132, 125, 119, 488, 127, 1186, 488, 124, 132, 132, 127, 119, 488, 124, 126, 1186, 488, 124, 132, 132, 128, 119, 488, 125, 1186, 488, 124, 132, 132, 129, 119, 488, 124, 1186, 488, 124, 132, 132, 130, 119, 488, 132, 1186, 488, 124, 132, 132, 131, 119, 488, 125, 1186, 488, 124, 132, 132, 132, 119, 488, 128, 1186, 488, 125, 123, 123, 123, 119, 488, 128, 1186, 488, 125, 123, 123, 124, 119, 488, 130, 1186, 488, 125, 123, 123, 125, 119, 488, 130, 1186, 488, 125, 123, 123, 126, 119, 488, 129, 1186, 488, 125, 123, 123, 127, 1155, 23873, 1162, 1188, 1158, 11609, 1227, 2854, 1125, 24755, 1257, 488, 124, 132, 132, 124, 1175, 125, 20825, 20096, 3392, 488, 125, 1856, 12456, 1496, 488, 124, 132, 132, 128, 1175, 126, 119, 488, 126, 1496, 488, 125, 123, 123, 126, 1175, 125, 119, 488, 125, 4023, 20634, 1167, 16828, 5825, 1424, 2093, 149, 12590, 4578, 2973, 13666, 1125, 24755, 1188, 11402, 14601, 1197, 1266, 12690, 2460, 28235, 14601, 1125, 1233, 1495, 28319, 3176, 14601, 1197, 5584, 1174, 26587, 1173, 18389, 14601, 1227, 11065, 16049, 1233, 3102, 1328, 14601, 1197, 2460, 28235, 14601, 1125, 1158, 13455, 8448, 2588, 1853, 1132, 12132, 14200, 1839, 3176, 1188, 11402, 10225, 23243, 14200, 1839, 3176, 1188, 11402, 12537, 3400, 1186, 3201, 488, 124, 132, 130, 125, 8156, 1188, 1204, 1274, 5945, 172, 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, 17322, 196, 1484, 1120, 1280, 5811, 2326, 1299, 1318, 16074, 1125, 6385, 184, 2007, 6396, 3376, 1431, 4735, 1496, 2283, 16738, 1125, 23511, 13649, 1653, 488, 125, 123, 124, 125, 2399, 1299, 22590, 1215, 23712, 10426, 153, 1856, 1318, 16074, 24557, 11413, 121, 11151, 8688, 488, 124, 132, 132, 128, 2399, 3031, 22590, 1856, 1318, 16074, 1186, 9626, 1283, 2087, 15004, 1388, 8044, 26540, 1167, 30344, 14564, 1567, 16074, 1299, 2283, 16738, 1317, 8030, 1125, 28894, 2585, 1238, 1158, 5209, 1835, 488, 125, 123, 1167, 488, 124, 123, 123, 123, 13061, 24950, 5815, 121, 3450, 27666, 1313, 1158, 13996, 4202, 27562, 2810, 1468, 24890, 7364, 5825, 1424, 1424, 2093, 1897, 5811, 2326, 2586, 2145, 13006, 5519, 3376, 1431, 4735, 29610, 11246, 1260, 6797, 1345, 2283, 16738, 1125, 28894, 114, 32001, 1424, 32000, 20036, 1763, 196, 1484, 1120, 1280, 5811, 2326, 1299, 1318, 16074, 1125, 6385, 184, 2007, 6396, 3376, 1431, 4735, 1496, 2283, 16738, 1125, 23511, 13649, 1653, 488, 125, 123, 124, 125, 2399, 1299, 22590, 1215, 23712, 10426, 153, 1856, 1318, 16074, 24557, 11413, 121, 11151, 8688, 488, 124, 132, 132, 128, 2399, 3031, 22590, 1856, 1318, 16074, 1186, 9626, 1283, 2087, 15004, 1388, 8044, 26540, 1167, 30344, 14564, 1567, 16074, 1299, 2283, 16738, 1317, 8030, 1125, 28894, 2585, 1238, 1158, 5209, 1835, 488, 125, 123, 1167, 488, 124, 123, 123, 123, 13061, 24950, 5815, 121, 3450, 27666, 1313, 1158, 13996, 4202, 27562, 2810, 1468, 24890, 7364, 5825, 1424, 1424, 2093, 1897, 5811, 2326, 2586, 2145, 13006, 5519, 3376, 1431, 4735, 29610, 11246, 1260, 6797, 1345, 2283, 16738, 1125, 28894, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 196, 1484, 1120, 1280, 5811, 2326, 1299, 1318, 16074, 1125, 6385, 184, 2007, 6396, 3376, 1431, 4735, 1496, 2283, 16738, 1125, 23511, 13649, 1653, 488, 125, 123, 124, 125, 2399, 1299, 22590, 1215, 23712, 10426, 153, 1856, 1318, 16074, 24557, 11413, 121, 11151, 8688, 488, 124, 132, 132, 128, 2399, 3031, 22590, 1856, 1318, 16074, 1186, 9626, 1283, 2087, 15004, 1388, 8044, 26540, 1167, 30344, 14564, 1567, 16074, 1299, 2283, 16738, 1317, 8030, 1125, 28894, 2585, 1238, 1158, 5209, 1835, 488, 125, 123, 1167, 488, 124, 123, 123, 123, 13061, 24950, 5815, 121, 3450, 27666, 1313, 1158, 13996, 4202, 27562, 2810, 1468, 24890, 7364, 5825, 1424, 1424, 2093, 1897, 5811, 2326, 2586, 2145, 13006, 5519, 3376, 1431, 4735, 29610, 11246, 1260, 6797, 1345, 2283, 16738, 1125, 28894, 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, 11003, 1109, 21073, 1125, 8125, 190, 10962, 1362, 4020, 1109, 21073, 1125, 2499, 1315, 23716, 5252, 1186, 488, 124, 124, 125, 130, 1167, 4541, 1170, 488, 124, 124, 122, 124, 124, 122, 124, 124, 132, 129, 119, 1299, 1189, 1268, 1640, 1185, 5597, 1460, 1197, 21218, 1979, 1104, 6243, 2007, 1125, 13811, 6678, 1109, 1357, 2985, 3151, 2682, 17215, 1125, 11684, 7138, 1188, 1209, 182, 288, 1399, 17440, 1398, 182, 262, 1669, 116, 1125, 488, 124, 124, 131, 129, 7328, 1561, 4541, 121, 1768, 1299, 15112, 1856, 13811, 1215, 12547, 11645, 15335, 3725, 22416, 4160, 1215, 1170, 28679, 3699, 21147, 4988, 1186, 488, 124, 132, 132, 126, 14231, 1424, 3466, 9811, 5998, 1996, 1125, 7298, 1300, 1158, 2492, 1125, 4020, 31291, 16639, 3190, 6766, 3260, 20678, 1281, 16552, 1215, 4070, 1313, 1207, 8290, 2097, 5519, 1287, 1857, 1125, 17220, 4338, 1258, 2915, 1167, 1125, 14363, 1170, 1200, 1706, 2114, 2442, 1309, 1313, 26012, 185, 1172, 1331, 16613, 5245, 8878, 3632, 1255, 12992, 1303, 1215, 18065, 2066, 1125, 1200, 262, 173, 6991, 121, 1768, 1110, 8217, 1594, 27180, 26817, 5693, 1197, 21218, 1979, 1104, 1317, 178, 18906, 2624, 1125, 1282, 11756, 11883, 1125, 2499, 1315, 6647, 27404, 3862, 1125, 488, 124, 123, 129, 125, 3839, 119, 1170, 2498, 1125, 10905, 25157, 17215, 2571, 1132, 6388, 1125, 3261, 1860, 10845, 1158, 3453, 22720, 1125, 14133, 1317, 1270, 18465, 2923, 1125, 1158, 3734, 4810, 1148, 4393, 1303, 1215, 1170, 11594, 4073, 250, 1108, 1197, 11684, 1105, 15982, 2130, 6728, 18424, 3559, 2630, 2100, 16981, 1473, 1408, 14429, 4020, 1109, 21073, 1281, 5931, 1313, 1158, 11684, 7138, 3365, 8718, 1188, 2682, 1475, 1819, 1120, 1657, 1768, 1844, 13087, 1318, 26807, 1300, 1158, 1222, 11397, 4424, 1186, 1189, 3601, 12688, 1209, 182, 288, 1399, 1186, 7941, 3847, 1768, 18764, 1125, 1423, 1205, 1312, 9672, 1167, 10145, 25157, 17215, 25592, 26320, 4988, 1125, 3261, 1860, 14802, 1186, 488, 124, 124, 131, 129, 1170, 28565, 7551, 1125, 11684, 7138, 1167, 1844, 1125, 4020, 1109, 21073, 1594, 3151, 2682, 17215, 121, 1768, 2435, 2255, 8103, 1186, 1408, 12189, 1259, 1121, 8616, 1189, 2031, 1314, 1116, 3048, 17742, 28129, 1227, 1691, 1573, 1450, 1125, 1200, 3770, 1255, 1186, 5206, 26973, 2620, 1268, 1640, 1188, 7311, 172, 7726, 1357, 1281, 22432, 1823, 1189, 7645, 1793, 24984, 121, 1768, 2934, 1170, 20840, 1197, 29204, 13976, 1197, 14018, 2007, 21583, 120, 2313, 172, 4111, 1186, 488, 124, 125, 123, 125, 7552, 2136, 1158, 4541, 1125, 4020, 31291, 4748, 1594, 2735, 31547, 488, 3233, 30731, 1197, 8308, 1234, 1561, 195, 1376, 1256, 20590, 1158, 5715, 1600, 7138, 2714, 1189, 5464, 1684, 1462, 1221, 1227, 1113, 23188, 2923, 2350, 1105, 1354, 1167, 1527, 19859, 1186, 488, 124, 124, 132, 131, 119, 1313, 1318, 4468, 15960, 2240, 5639, 1125, 1248, 1205, 2036, 12189, 1259, 1121, 1146, 1281, 5931, 1188, 11188, 5693, 1227, 28679, 1165, 1819, 10408, 7983, 1256, 8240, 1125, 1440, 4755, 1318, 8137, 1313, 1207, 13535, 4810, 29796, 2932, 2934, 1170, 4319, 1197, 8308, 5493, 4810, 19190, 1895, 8676, 1473, 1215, 13075, 1125, 1233, 1250, 179, 4970, 3554, 1108, 8509, 6849, 1170, 488, 124, 125, 28076, 1170, 16360, 1334, 1125, 4020, 1109, 21073, 1281, 5209, 1313, 1158, 10538, 28808, 1125, 1248, 23624, 11488, 1167, 5474, 25194, 17935, 17994, 13374, 11052, 1424, 1165, 2607, 5493, 4810, 1883, 7364, 5825, 1424, 2576, 3765, 13976, 1197, 14018, 2007, 21583, 5264, 4313, 4111, 4713, 3400, 1317, 4847, 1328, 26320, 7002, 10667, 10962, 26626, 20020, 1227, 2271, 3463, 176, 6298, 15479, 1109, 21073, 1125, 8125, 190, 10962, 1720, 2116, 11097, 22187, 10816, 1505, 2607, 244, 1227, 2271, 3463, 176, 6298, 8156, 1186, 488, 124, 124, 125, 130, 9317, 1186, 488, 124, 124, 132, 129, 15479, 1109, 21073, 1125, 8125, 190, 10962, 15479, 1109, 21073, 1125, 8125, 190, 10962, 15479, 1109, 21073, 1125, 8125, 190, 10962, 27659, 22187, 1227, 2271, 3463, 176, 6298, 32001, 1424, 32000, 20036, 15479, 1109, 21073, 1125, 8125, 190, 10962, 1362, 4020, 1109, 21073, 1125, 2499, 1315, 23716, 5252, 1186, 488, 124, 124, 125, 130, 1167, 4541, 1170, 488, 124, 124, 122, 124, 124, 122, 124, 124, 132, 129, 119, 1299, 1189, 1268, 1640, 1185, 5597, 1460, 1197, 21218, 1979, 1104, 6243, 2007, 1125, 13811, 6678, 1109, 1357, 2985, 3151, 2682, 17215, 1125, 11684, 7138, 1188, 1209, 182, 288, 1399, 17440, 1398, 182, 262, 1669, 116, 1125, 488, 124, 124, 131, 129, 7328, 1561, 4541, 121, 1768, 1299, 15112, 1856, 13811, 1215, 12547, 11645, 15335, 3725, 22416, 4160, 1215, 1170, 28679, 3699, 21147, 4988, 1186, 488, 124, 132, 132, 126, 14231, 1424, 3466, 9811, 5998, 1996, 1125, 7298, 1300, 1158, 2492, 1125, 4020, 31291, 16639, 3190, 6766, 3260, 20678, 1281, 16552, 1215, 4070, 1313, 1207, 8290, 2097, 5519, 1287, 1857, 1125, 17220, 4338, 1258, 2915, 1167, 1125, 14363, 1170, 1200, 1706, 2114, 2442, 1309, 1313, 26012, 185, 1172, 1331, 16613, 5245, 8878, 3632, 1255, 12992, 1303, 1215, 18065, 2066, 1125, 1200, 262, 173, 6991, 121, 1768, 1110, 8217, 1594, 27180, 26817, 5693, 1197, 21218, 1979, 1104, 1317, 178, 18906, 2624, 1125, 1282, 11756, 11883, 1125, 2499, 1315, 6647, 27404, 3862, 1125, 488, 124, 123, 129, 125, 3839, 119, 1170, 2498, 1125, 10905, 25157, 17215, 2571, 1132, 6388, 1125, 3261, 1860, 10845, 1158, 3453, 22720, 1125, 14133, 1317, 1270, 18465, 2923, 1125, 1158, 3734, 4810, 1148, 4393, 1303, 1215, 1170, 11594, 4073, 250, 1108, 1197, 11684, 1105, 15982, 2130, 6728, 18424, 3559, 2630, 2100, 16981, 1473, 1408, 14429, 4020, 1109, 21073, 1281, 5931, 1313, 1158, 11684, 7138, 3365, 8718, 1188, 2682, 1475, 1819, 1120, 1657, 1768, 1844, 13087, 1318, 26807, 1300, 1158, 1222, 11397, 4424, 1186, 1189, 3601, 12688, 1209, 182, 288, 1399, 1186, 7941, 3847, 1768, 18764, 1125, 1423, 1205, 1312, 9672, 1167, 10145, 25157, 17215, 25592, 26320, 4988, 1125, 3261, 1860, 14802, 1186, 488, 124, 124, 131, 129, 1170, 28565, 7551, 1125, 11684, 7138, 1167, 1844, 1125, 4020, 1109, 21073, 1594, 3151, 2682, 17215, 121, 1768, 2435, 2255, 8103, 1186, 1408, 12189, 1259, 1121, 8616, 1189, 2031, 1314, 1116, 3048, 17742, 28129, 1227, 1691, 1573, 1450, 1125, 1200, 3770, 1255, 1186, 5206, 26973, 2620, 1268, 1640, 1188, 7311, 172, 7726, 1357, 1281, 22432, 1823, 1189, 7645, 1793, 24984, 121, 1768, 2934, 1170, 20840, 1197, 29204, 13976, 1197, 14018, 2007, 21583, 120, 2313, 172, 4111, 1186, 488, 124, 125, 123, 125, 7552, 2136, 1158, 4541, 1125, 4020, 31291, 4748, 1594, 2735, 31547, 488, 3233, 30731, 1197, 8308, 1234, 1561, 195, 1376, 1256, 20590, 1158, 5715, 1600, 7138, 2714, 1189, 5464, 1684, 1462, 1221, 1227, 1113, 23188, 2923, 2350, 1105, 1354, 1167, 1527, 19859, 1186, 488, 124, 124, 132, 131, 119, 1313, 1318, 4468, 15960, 2240, 5639, 1125, 1248, 1205, 2036, 12189, 1259, 1121, 1146, 1281, 5931, 1188, 11188, 5693, 1227, 28679, 1165, 1819, 10408, 7983, 1256, 8240, 1125, 1440, 4755, 1318, 8137, 1313, 1207, 13535, 4810, 29796, 2932, 2934, 1170, 4319, 1197, 8308, 5493, 4810, 19190, 1895, 8676, 1473, 1215, 13075, 1125, 1233, 1250, 179, 4970, 3554, 1108, 8509, 6849, 1170, 488, 124, 125, 28076, 1170, 16360, 1334, 1125, 4020, 1109, 21073, 1281, 5209, 1313, 1158, 10538, 28808, 1125, 1248, 23624, 11488, 1167, 5474, 25194, 17935, 17994, 13374, 11052, 1424, 1165, 2607, 5493, 4810, 1883, 7364, 5825, 1424, 2576, 3765, 13976, 1197, 14018, 2007, 21583, 5264, 4313, 4111, 4713, 3400, 1317, 4847, 1328, 26320, 7002, 10667, 10962, 26626, 20020, 1227, 2271, 3463, 176, 6298, 15479, 1109, 21073, 1125, 8125, 190, 10962, 1720, 2116, 11097, 22187, 10816, 1505, 2607, 244, 1227, 2271, 3463, 176, 6298, 8156, 1186, 488, 124, 124, 125, 130, 9317, 1186, 488, 124, 124, 132, 129, 15479, 1109, 21073, 1125, 8125, 190, 10962, 15479, 1109, 21073, 1125, 8125, 190, 10962, 15479, 1109, 21073, 1125, 8125, 190, 10962, 27659, 22187, 1227, 2271, 3463, 176, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 15479, 1109, 21073, 1125, 8125, 190, 10962, 1362, 4020, 1109, 21073, 1125, 2499, 1315, 23716, 5252, 1186, 488, 124, 124, 125, 130, 1167, 4541, 1170, 488, 124, 124, 122, 124, 124, 122, 124, 124, 132, 129, 119, 1299, 1189, 1268, 1640, 1185, 5597, 1460, 1197, 21218, 1979, 1104, 6243, 2007, 1125, 13811, 6678, 1109, 1357, 2985, 3151, 2682, 17215, 1125, 11684, 7138, 1188, 1209, 182, 288, 1399, 17440, 1398, 182, 262, 1669, 116, 1125, 488, 124, 124, 131, 129, 7328, 1561, 4541, 121, 1768, 1299, 15112, 1856, 13811, 1215, 12547, 11645, 15335, 3725, 22416, 4160, 1215, 1170, 28679, 3699, 21147, 4988, 1186, 488, 124, 132, 132, 126, 14231, 1424, 3466, 9811, 5998, 1996, 1125, 7298, 1300, 1158, 2492, 1125, 4020, 31291, 16639, 3190, 6766, 3260, 20678, 1281, 16552, 1215, 4070, 1313, 1207, 8290, 2097, 5519, 1287, 1857, 1125, 17220, 4338, 1258, 2915, 1167, 1125, 14363, 1170, 1200, 1706, 2114, 2442, 1309, 1313, 26012, 185, 1172, 1331, 16613, 5245, 8878, 3632, 1255, 12992, 1303, 1215, 18065, 2066, 1125, 1200, 262, 173, 6991, 121, 1768, 1110, 8217, 1594, 27180, 26817, 5693, 1197, 21218, 1979, 1104, 1317, 178, 18906, 2624, 1125, 1282, 11756, 11883, 1125, 2499, 1315, 6647, 27404, 3862, 1125, 488, 124, 123, 129, 125, 3839, 119, 1170, 2498, 1125, 10905, 25157, 17215, 2571, 1132, 6388, 1125, 3261, 1860, 10845, 1158, 3453, 22720, 1125, 14133, 1317, 1270, 18465, 2923, 1125, 1158, 3734, 4810, 1148, 4393, 1303, 1215, 1170, 11594, 4073, 250, 1108, 1197, 11684, 1105, 15982, 2130, 6728, 18424, 3559, 2630, 2100, 16981, 1473, 1408, 14429, 4020, 1109, 21073, 1281, 5931, 1313, 1158, 11684, 7138, 3365, 8718, 1188, 2682, 1475, 1819, 1120, 1657, 1768, 1844, 13087, 1318, 26807, 1300, 1158, 1222, 11397, 4424, 1186, 1189, 3601, 12688, 1209, 182, 288, 1399, 1186, 7941, 3847, 1768, 18764, 1125, 1423, 1205, 1312, 9672, 1167, 10145, 25157, 17215, 25592, 26320, 4988, 1125, 3261, 1860, 14802, 1186, 488, 124, 124, 131, 129, 1170, 28565, 7551, 1125, 11684, 7138, 1167, 1844, 1125, 4020, 1109, 21073, 1594, 3151, 2682, 17215, 121, 1768, 2435, 2255, 8103, 1186, 1408, 12189, 1259, 1121, 8616, 1189, 2031, 1314, 1116, 3048, 17742, 28129, 1227, 1691, 1573, 1450, 1125, 1200, 3770, 1255, 1186, 5206, 26973, 2620, 1268, 1640, 1188, 7311, 172, 7726, 1357, 1281, 22432, 1823, 1189, 7645, 1793, 24984, 121, 1768, 2934, 1170, 20840, 1197, 29204, 13976, 1197, 14018, 2007, 21583, 120, 2313, 172, 4111, 1186, 488, 124, 125, 123, 125, 7552, 2136, 1158, 4541, 1125, 4020, 31291, 4748, 1594, 2735, 31547, 488, 3233, 30731, 1197, 8308, 1234, 1561, 195, 1376, 1256, 20590, 1158, 5715, 1600, 7138, 2714, 1189, 5464, 1684, 1462, 1221, 1227, 1113, 23188, 2923, 2350, 1105, 1354, 1167, 1527, 19859, 1186, 488, 124, 124, 132, 131, 119, 1313, 1318, 4468, 15960, 2240, 5639, 1125, 1248, 1205, 2036, 12189, 1259, 1121, 1146, 1281, 5931, 1188, 11188, 5693, 1227, 28679, 1165, 1819, 10408, 7983, 1256, 8240, 1125, 1440, 4755, 1318, 8137, 1313, 1207, 13535, 4810, 29796, 2932, 2934, 1170, 4319, 1197, 8308, 5493, 4810, 19190, 1895, 8676, 1473, 1215, 13075, 1125, 1233, 1250, 179, 4970, 3554, 1108, 8509, 6849, 1170, 488, 124, 125, 28076, 1170, 16360, 1334, 1125, 4020, 1109, 21073, 1281, 5209, 1313, 1158, 10538, 28808, 1125, 1248, 23624, 11488, 1167, 5474, 25194, 17935, 17994, 13374, 11052, 1424, 1165, 2607, 5493, 4810, 1883, 7364, 5825, 1424, 2576, 3765, 13976, 1197, 14018, 2007, 21583, 5264, 4313, 4111, 4713, 3400, 1317, 4847, 1328, 26320, 7002, 10667, 10962, 26626, 20020, 1227, 2271, 3463, 176, 6298, 15479, 1109, 21073, 1125, 8125, 190, 10962, 1720, 2116, 11097, 22187, 10816, 1505, 2607, 244, 1227, 2271, 3463, 176, 6298, 8156, 1186, 488, 124, 124, 125, 130, 9317, 1186, 488, 124, 124, 132, 129, 15479, 1109, 21073, 1125, 8125, 190, 10962, 15479, 1109, 21073, 1125, 8125, 190, 10962, 15479, 1109, 21073, 1125, 8125, 190, 10962, 27659, 22187, 1227, 2271, 3463, 176, 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, 1424, 114, 154, 175, 30574, 1303, 2290, 1158, 4592, 17298, 4273, 1595, 1515, 1252, 10897, 116, 1299, 1189, 3418, 24832, 8922, 1215, 11449, 13272, 20048, 9665, 1186, 488, 124, 132, 130, 126, 7745, 31751, 1424, 216, 1158, 3011, 2335, 5582, 27515, 1125, 27069, 1318, 7051, 28353, 3603, 1170, 2499, 1132, 1219, 119, 1281, 11083, 7171, 1277, 1313, 1207, 8258, 1557, 8160, 1814, 28353, 1109, 15975, 19388, 177, 2365, 6968, 1299, 15367, 1188, 1561, 1432, 174, 1212, 5650, 1723, 7120, 2960, 1125, 15104, 29941, 14023, 3352, 4403, 1424, 20638, 2720, 1257, 24354, 30574, 1303, 2290, 1158, 4592, 106, 20638, 5379, 1257, 1410, 4273, 1595, 1515, 1252, 10897, 106, 5294, 4521, 1257, 11449, 13272, 2348, 106, 2941, 1538, 5844, 1257, 8128, 1867, 162, 2570, 106, 20357, 1257, 1200, 16778, 4847, 1221, 14741, 106, 10272, 4134, 1257, 17812, 26829, 23194, 4304, 1272, 1257, 15432, 26502, 106, 19210, 1257, 10837, 196, 28287, 106, 7676, 1125, 4052, 1257, 2236, 2622, 1161, 1135, 1867, 10091, 14251, 1171, 18349, 1762, 2722, 1217, 6387, 28677, 1673, 18121, 16204, 13340, 244, 1175, 2834, 244, 116, 1200, 191, 1303, 106, 7676, 1125, 6847, 1257, 488, 125, 123, 1276, 8332, 4532, 18405, 106, 9299, 1257, 6372, 106, 9313, 1277, 1257, 24882, 1298, 106, 24178, 1257, 12511, 3909, 1323, 3335, 186, 1323, 488, 126, 128, 8680, 1323, 488, 125, 121, 126, 128, 133, 124, 106, 8399, 1112, 1257, 1192, 1672, 8802, 1222, 3599, 106, 25694, 1257, 488, 132, 131, 27480, 1222, 2026, 1125, 8969, 2232, 488, 1257, 488, 124, 132, 130, 126, 106, 488, 1257, 1424, 488, 8623, 143, 10995, 1424, 6507, 1293, 9344, 5834, 9116, 145, 1257, 3699, 27890, 9436, 116, 1257, 1170, 29369, 2571, 14283, 2893, 2187, 106, 27359, 1202, 1176, 29303, 9116, 145, 1257, 3699, 8991, 11885, 116, 1257, 1170, 488, 25017, 15770, 2523, 8471, 22559, 1233, 2601, 185, 1314, 9116, 145, 1257, 15055, 1222, 17636, 2461, 116, 1257, 8391, 488, 4698, 2565, 1186, 1352, 18748, 5807, 150, 1242, 106, 1671, 193, 1567, 1204, 1195, 2636, 488, 1257, 1170, 488, 1548, 2194, 1321, 1220, 23923, 1222, 1396, 15785, 9810, 3524, 9116, 145, 1257, 10759, 1545, 3727, 2198, 116, 1257, 9399, 1165, 1212, 1554, 106, 5644, 1325, 1205, 178, 1554, 9116, 145, 1257, 20714, 14842, 11878, 22303, 1257, 1170, 25468, 7451, 2523, 8980, 6709, 1863, 1869, 31286, 488, 1257, 1170, 488, 20736, 6700, 17485, 1186, 1352, 18748, 24753, 106, 8713, 16026, 1107, 488, 1257, 25218, 22375, 11205, 1189, 31745, 1136, 106, 1808, 10691, 15243, 2443, 488, 1257, 21303, 1285, 1282, 31698, 9421, 1227, 1198, 1687, 18581, 26091, 1516, 1293, 1292, 1379, 488, 1257, 9496, 24891, 4279, 106, 5826, 25321, 1456, 6383, 9116, 145, 1257, 7451, 18543, 1384, 25802, 1257, 1170, 488, 1266, 1249, 1105, 3676, 1479, 25517, 106, 10170, 1119, 18627, 2443, 1257, 1222, 1383, 2443, 106, 6480, 1671, 1121, 22397, 9116, 145, 1257, 24187, 1200, 2705, 174, 7972, 1257, 14229, 1462, 106, 13934, 1202, 1307, 1277, 488, 1257, 10036, 106, 10623, 4873, 1857, 9116, 145, 1257, 10563, 1125, 9692, 9630, 1257, 1170, 25468, 1125, 1282, 3466, 1414, 15324, 13776, 1267, 15004, 1424, 1653, 22928, 1256, 1170, 3248, 1227, 6005, 3418, 1125, 7332, 30540, 1125, 9911, 488, 124, 132, 130, 128, 1317, 18014, 2449, 10812, 1227, 6005, 3418, 1125, 7332, 30540, 1388, 2101, 3409, 5532, 2636, 1125, 5505, 1272, 1424, 4298, 3247, 1227, 5505, 1272, 1227, 3418, 1110, 1913, 8922, 1188, 6676, 1227, 28353, 1109, 24832, 9323, 1167, 5474, 9323, 15948, 13459, 2072, 7364, 5825, 1424, 28912, 6417, 24832, 9665, 1186, 488, 124, 132, 130, 126, 15089, 13335, 12980, 24832, 15089, 27325, 24832, 15089, 1125, 7332, 30540, 24832, 15089, 26738, 28353, 1314, 15089, 8922, 1215, 11449, 13272, 2348, 15089, 30720, 1571, 28836, 1165, 5363, 18842, 114, 32001, 1424, 32000, 20036, 24623, 154, 175, 30574, 1303, 2290, 1158, 4592, 17298, 4273, 1595, 1515, 1252, 10897, 116, 1299, 1189, 3418, 24832, 8922, 1215, 11449, 13272, 20048, 9665, 1186, 488, 124, 132, 130, 126, 7745, 31751, 1424, 216, 1158, 3011, 2335, 5582, 27515, 1125, 27069, 1318, 7051, 28353, 3603, 1170, 2499, 1132, 1219, 119, 1281, 11083, 7171, 1277, 1313, 1207, 8258, 1557, 8160, 1814, 28353, 1109, 15975, 19388, 177, 2365, 6968, 1299, 15367, 1188, 1561, 1432, 174, 1212, 5650, 1723, 7120, 2960, 1125, 15104, 29941, 14023, 3352, 4403, 1424, 20638, 2720, 1257, 24354, 30574, 1303, 2290, 1158, 4592, 106, 20638, 5379, 1257, 1410, 4273, 1595, 1515, 1252, 10897, 106, 5294, 4521, 1257, 11449, 13272, 2348, 106, 2941, 1538, 5844, 1257, 8128, 1867, 162, 2570, 106, 20357, 1257, 1200, 16778, 4847, 1221, 14741, 106, 10272, 4134, 1257, 17812, 26829, 23194, 4304, 1272, 1257, 15432, 26502, 106, 19210, 1257, 10837, 196, 28287, 106, 7676, 1125, 4052, 1257, 2236, 2622, 1161, 1135, 1867, 10091, 14251, 1171, 18349, 1762, 2722, 1217, 6387, 28677, 1673, 18121, 16204, 13340, 244, 1175, 2834, 244, 116, 1200, 191, 1303, 106, 7676, 1125, 6847, 1257, 488, 125, 123, 1276, 8332, 4532, 18405, 106, 9299, 1257, 6372, 106, 9313, 1277, 1257, 24882, 1298, 106, 24178, 1257, 12511, 3909, 1323, 3335, 186, 1323, 488, 126, 128, 8680, 1323, 488, 125, 121, 126, 128, 133, 124, 106, 8399, 1112, 1257, 1192, 1672, 8802, 1222, 3599, 106, 25694, 1257, 488, 132, 131, 27480, 1222, 2026, 1125, 8969, 2232, 488, 1257, 488, 124, 132, 130, 126, 106, 488, 1257, 1424, 488, 8623, 143, 10995, 1424, 6507, 1293, 9344, 5834, 9116, 145, 1257, 3699, 27890, 9436, 116, 1257, 1170, 29369, 2571, 14283, 2893, 2187, 106, 27359, 1202, 1176, 29303, 9116, 145, 1257, 3699, 8991, 11885, 116, 1257, 1170, 488, 25017, 15770, 2523, 8471, 22559, 1233, 2601, 185, 1314, 9116, 145, 1257, 15055, 1222, 17636, 2461, 116, 1257, 8391, 488, 4698, 2565, 1186, 1352, 18748, 5807, 150, 1242, 106, 1671, 193, 1567, 1204, 1195, 2636, 488, 1257, 1170, 488, 1548, 2194, 1321, 1220, 23923, 1222, 1396, 15785, 9810, 3524, 9116, 145, 1257, 10759, 1545, 3727, 2198, 116, 1257, 9399, 1165, 1212, 1554, 106, 5644, 1325, 1205, 178, 1554, 9116, 145, 1257, 20714, 14842, 11878, 22303, 1257, 1170, 25468, 7451, 2523, 8980, 6709, 1863, 1869, 31286, 488, 1257, 1170, 488, 20736, 6700, 17485, 1186, 1352, 18748, 24753, 106, 8713, 16026, 1107, 488, 1257, 25218, 22375, 11205, 1189, 31745, 1136, 106, 1808, 10691, 15243, 2443, 488, 1257, 21303, 1285, 1282, 31698, 9421, 1227, 1198, 1687, 18581, 26091, 1516, 1293, 1292, 1379, 488, 1257, 9496, 24891, 4279, 106, 5826, 25321, 1456, 6383, 9116, 145, 1257, 7451, 18543, 1384, 25802, 1257, 1170, 488, 1266, 1249, 1105, 3676, 1479, 25517, 106, 10170, 1119, 18627, 2443, 1257, 1222, 1383, 2443, 106, 6480, 1671, 1121, 22397, 9116, 145, 1257, 24187, 1200, 2705, 174, 7972, 1257, 14229, 1462, 106, 13934, 1202, 1307, 1277, 488, 1257, 10036, 106, 10623, 4873, 1857, 9116, 145, 1257, 10563, 1125, 9692, 9630, 1257, 1170, 25468, 1125, 1282, 3466, 1414, 15324, 13776, 1267, 15004, 1424, 1653, 22928, 1256, 1170, 3248, 1227, 6005, 3418, 1125, 7332, 30540, 1125, 9911, 488, 124, 132, 130, 128, 1317, 18014, 2449, 10812, 1227, 6005, 3418, 1125, 7332, 30540, 1388, 2101, 3409, 5532, 2636, 1125, 5505, 1272, 1424, 4298, 3247, 1227, 5505, 1272, 1227, 3418, 1110, 1913, 8922, 1188, 6676, 1227, 28353, 1109, 24832, 9323, 1167, 5474, 9323, 15948, 13459, 2072, 7364, 5825, 1424, 28912, 6417, 24832, 9665, 1186, 488, 124, 132, 130, 126, 15089, 13335, 12980, 24832, 15089, 27325, 24832, 15089, 1125, 7332, 30540, 24832, 15089, 26738, 28353, 1314, 15089, 8922, 1215, 11449, 13272, 2348, 15089, 30720, 1571, 28836, 1165, 5363, 18842, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 154, 175, 30574, 1303, 2290, 1158, 4592, 17298, 4273, 1595, 1515, 1252, 10897, 116, 1299, 1189, 3418, 24832, 8922, 1215, 11449, 13272, 20048, 9665, 1186, 488, 124, 132, 130, 126, 7745, 31751, 1424, 216, 1158, 3011, 2335, 5582, 27515, 1125, 27069, 1318, 7051, 28353, 3603, 1170, 2499, 1132, 1219, 119, 1281, 11083, 7171, 1277, 1313, 1207, 8258, 1557, 8160, 1814, 28353, 1109, 15975, 19388, 177, 2365, 6968, 1299, 15367, 1188, 1561, 1432, 174, 1212, 5650, 1723, 7120, 2960, 1125, 15104, 29941, 14023, 3352, 4403, 1424, 20638, 2720, 1257, 24354, 30574, 1303, 2290, 1158, 4592, 106, 20638, 5379, 1257, 1410, 4273, 1595, 1515, 1252, 10897, 106, 5294, 4521, 1257, 11449, 13272, 2348, 106, 2941, 1538, 5844, 1257, 8128, 1867, 162, 2570, 106, 20357, 1257, 1200, 16778, 4847, 1221, 14741, 106, 10272, 4134, 1257, 17812, 26829, 23194, 4304, 1272, 1257, 15432, 26502, 106, 19210, 1257, 10837, 196, 28287, 106, 7676, 1125, 4052, 1257, 2236, 2622, 1161, 1135, 1867, 10091, 14251, 1171, 18349, 1762, 2722, 1217, 6387, 28677, 1673, 18121, 16204, 13340, 244, 1175, 2834, 244, 116, 1200, 191, 1303, 106, 7676, 1125, 6847, 1257, 488, 125, 123, 1276, 8332, 4532, 18405, 106, 9299, 1257, 6372, 106, 9313, 1277, 1257, 24882, 1298, 106, 24178, 1257, 12511, 3909, 1323, 3335, 186, 1323, 488, 126, 128, 8680, 1323, 488, 125, 121, 126, 128, 133, 124, 106, 8399, 1112, 1257, 1192, 1672, 8802, 1222, 3599, 106, 25694, 1257, 488, 132, 131, 27480, 1222, 2026, 1125, 8969, 2232, 488, 1257, 488, 124, 132, 130, 126, 106, 488, 1257, 1424, 488, 8623, 143, 10995, 1424, 6507, 1293, 9344, 5834, 9116, 145, 1257, 3699, 27890, 9436, 116, 1257, 1170, 29369, 2571, 14283, 2893, 2187, 106, 27359, 1202, 1176, 29303, 9116, 145, 1257, 3699, 8991, 11885, 116, 1257, 1170, 488, 25017, 15770, 2523, 8471, 22559, 1233, 2601, 185, 1314, 9116, 145, 1257, 15055, 1222, 17636, 2461, 116, 1257, 8391, 488, 4698, 2565, 1186, 1352, 18748, 5807, 150, 1242, 106, 1671, 193, 1567, 1204, 1195, 2636, 488, 1257, 1170, 488, 1548, 2194, 1321, 1220, 23923, 1222, 1396, 15785, 9810, 3524, 9116, 145, 1257, 10759, 1545, 3727, 2198, 116, 1257, 9399, 1165, 1212, 1554, 106, 5644, 1325, 1205, 178, 1554, 9116, 145, 1257, 20714, 14842, 11878, 22303, 1257, 1170, 25468, 7451, 2523, 8980, 6709, 1863, 1869, 31286, 488, 1257, 1170, 488, 20736, 6700, 17485, 1186, 1352, 18748, 24753, 106, 8713, 16026, 1107, 488, 1257, 25218, 22375, 11205, 1189, 31745, 1136, 106, 1808, 10691, 15243, 2443, 488, 1257, 21303, 1285, 1282, 31698, 9421, 1227, 1198, 1687, 18581, 26091, 1516, 1293, 1292, 1379, 488, 1257, 9496, 24891, 4279, 106, 5826, 25321, 1456, 6383, 9116, 145, 1257, 7451, 18543, 1384, 25802, 1257, 1170, 488, 1266, 1249, 1105, 3676, 1479, 25517, 106, 10170, 1119, 18627, 2443, 1257, 1222, 1383, 2443, 106, 6480, 1671, 1121, 22397, 9116, 145, 1257, 24187, 1200, 2705, 174, 7972, 1257, 14229, 1462, 106, 13934, 1202, 1307, 1277, 488, 1257, 10036, 106, 10623, 4873, 1857, 9116, 145, 1257, 10563, 1125, 9692, 9630, 1257, 1170, 25468, 1125, 1282, 3466, 1414, 15324, 13776, 1267, 15004, 1424, 1653, 22928, 1256, 1170, 3248, 1227, 6005, 3418, 1125, 7332, 30540, 1125, 9911, 488, 124, 132, 130, 128, 1317, 18014, 2449, 10812, 1227, 6005, 3418, 1125, 7332, 30540, 1388, 2101, 3409, 5532, 2636, 1125, 5505, 1272, 1424, 4298, 3247, 1227, 5505, 1272, 1227, 3418, 1110, 1913, 8922, 1188, 6676, 1227, 28353, 1109, 24832, 9323, 1167, 5474, 9323, 15948, 13459, 2072, 7364, 5825, 1424, 28912, 6417, 24832, 9665, 1186, 488, 124, 132, 130, 126, 15089, 13335, 12980, 24832, 15089, 27325, 24832, 15089, 1125, 7332, 30540, 24832, 15089, 26738, 28353, 1314, 15089, 8922, 1215, 11449, 13272, 2348, 15089, 30720, 1571, 28836, 1165, 5363, 18842, 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, 17322, 1220, 1170, 19167, 1125, 22154, 24477, 1188, 3862, 1227, 6285, 1165, 132, 132, 119, 8479, 191, 1299, 1189, 3755, 10457, 244, 1357, 1915, 1823, 5162, 1313, 1207, 25852, 1125, 9184, 1836, 121, 1548, 3755, 10457, 244, 8479, 191, 1299, 1318, 12074, 25449, 7314, 15762, 1215, 1170, 5059, 1136, 1256, 1170, 1417, 1142, 30450, 1768, 17009, 1309, 1256, 1158, 4794, 1125, 2492, 1227, 9184, 11682, 4374, 1170, 9184, 1836, 10028, 1362, 1318, 5219, 6529, 6215, 23964, 1368, 1613, 116, 2934, 5162, 1256, 11269, 1188, 11582, 2079, 6640, 1527, 9184, 7017, 6415, 8956, 1207, 10102, 1125, 25131, 5787, 1149, 1125, 9184, 11682, 11525, 1199, 1571, 5114, 2651, 1297, 3066, 1158, 12074, 25449, 7314, 4249, 1382, 4435, 1303, 1167, 1309, 11582, 1299, 12669, 1215, 1189, 9184, 1836, 8193, 7225, 3547, 1281, 30120, 1670, 1154, 1215, 1189, 12175, 25815, 1773, 3266, 2576, 4033, 1227, 3755, 10457, 244, 8479, 191, 2856, 119, 1186, 9316, 119, 27776, 1158, 2076, 5076, 1309, 1170, 2076, 5059, 5617, 1186, 2544, 1216, 1119, 8273, 3613, 6739, 1382, 1125, 2922, 6285, 1125, 8479, 3378, 1723, 1125, 5087, 1417, 1142, 2518, 2004, 1197, 24112, 1610, 1357, 4491, 1129, 4393, 9124, 1186, 1165, 3613, 1167, 1186, 24477, 7706, 1309, 3336, 5853, 1766, 191, 1582, 1256, 1293, 5104, 1167, 2324, 18509, 1167, 3336, 5853, 1766, 191, 1167, 3336, 11169, 4294, 1954, 115, 5853, 1766, 21601, 1256, 20867, 1165, 3613, 1388, 4248, 2184, 2651, 7817, 1170, 1417, 1142, 1793, 9811, 3365, 1251, 1110, 5125, 1189, 9184, 1836, 2079, 1189, 12316, 1125, 10005, 119, 1527, 1915, 14868, 1189, 2579, 4534, 5114, 1120, 3502, 2093, 2951, 4070, 2232, 4902, 5928, 13232, 5622, 19641, 1368, 11577, 5128, 22552, 1368, 11577, 12875, 22552, 1368, 1613, 9066, 488, 1368, 11577, 140, 3715, 1368, 1613, 1236, 488, 1368, 11577, 141, 3715, 1368, 1613, 8211, 22507, 1170, 2579, 6531, 3794, 1207, 9184, 3051, 1113, 1216, 5128, 1113, 1216, 12875, 1167, 1713, 2830, 1281, 10250, 1107, 1317, 2076, 1895, 5949, 10005, 119, 1995, 1906, 1309, 1170, 1417, 1142, 1793, 6462, 30922, 1189, 2579, 2864, 16476, 2232, 2880, 1248, 124, 488, 472, 1368, 1613, 2040, 1539, 2696, 1158, 5219, 2151, 1303, 1215, 1713, 106, 2880, 1248, 125, 488, 472, 1368, 11577, 140, 2040, 1539, 2696, 1158, 5219, 2151, 1303, 1215, 1113, 1216, 140, 106, 2218, 1248, 125, 3715, 1248, 124, 2040, 12811, 1363, 2904, 1318, 2571, 1974, 106, 2642, 1248, 125, 8528, 1368, 11577, 140, 2040, 4271, 1188, 2574, 1158, 5219, 2151, 1303, 1215, 1113, 1216, 140, 106, 134, 1867, 2076, 1256, 1113, 1216, 12875, 1579, 4056, 1309, 1713, 1299, 10502, 1188, 2069, 2888, 15898, 6060, 1309, 106, 134, 1113, 1216, 140, 1915, 1823, 21082, 1188, 1713, 3471, 2119, 1188, 24470, 19441, 2079, 1170, 2076, 1895, 5949, 3563, 2880, 1248, 124, 488, 472, 1368, 1613, 106, 2880, 1248, 125, 488, 472, 1368, 11577, 141, 106, 2218, 1248, 125, 3715, 1248, 124, 106, 2642, 1248, 125, 8528, 1368, 11577, 141, 24367, 2734, 10032, 1995, 1170, 3755, 10457, 244, 8479, 191, 1299, 5162, 1167, 1309, 1158, 2321, 17630, 1299, 5255, 1303, 1856, 2232, 4902, 5928, 13232, 5622, 19641, 1368, 5853, 1766, 191, 1113, 1216, 5128, 22552, 1368, 5853, 1766, 191, 1113, 1216, 12875, 22552, 1368, 5853, 1766, 191, 1713, 1391, 1132, 1500, 1170, 1417, 1142, 1793, 1299, 16849, 1188, 1928, 12709, 1309, 1113, 1216, 5128, 1113, 1216, 141, 1167, 1713, 2151, 1129, 2079, 5542, 1895, 2844, 1525, 1167, 1309, 1158, 3591, 1188, 2574, 2335, 9184, 1836, 2551, 2949, 22236, 172, 1382, 1207, 2905, 9184, 1836, 1297, 1548, 5059, 1136, 24700, 1170, 1417, 1142, 1793, 116, 1299, 6606, 1125, 30267, 1188, 1440, 1309, 1207, 9184, 3051, 1288, 2151, 1129, 1382, 1207, 9359, 23496, 13699, 1262, 20150, 1309, 1170, 1417, 1142, 1793, 1915, 30922, 1189, 6005, 2579, 1856, 8295, 2232, 2880, 1248, 124, 488, 472, 1368, 1613, 106, 2880, 1248, 125, 488, 472, 1368, 11577, 140, 106, 2218, 1248, 125, 3715, 1248, 124, 106, 2642, 1248, 125, 8528, 1368, 11577, 140, 106, 134, 30377, 1309, 1713, 4249, 1382, 1169, 6819, 244, 1295, 134, 6060, 1309, 1170, 1417, 1142, 1793, 9811, 1309, 3557, 23259, 1475, 244, 106, 2880, 1248, 125, 488, 472, 1368, 11577, 141, 106, 2218, 1248, 125, 3715, 1248, 124, 106, 2642, 1248, 125, 8528, 1368, 11577, 141, 7984, 197, 1309, 1170, 2579, 4489, 2725, 1136, 1299, 1408, 6001, 6060, 1309, 1158, 5219, 2151, 1303, 1215, 1713, 4249, 22327, 11471, 5860, 2768, 1388, 3466, 1915, 8807, 3393, 1309, 1313, 2140, 7682, 2008, 2069, 2191, 3972, 2175, 7085, 2072, 1170, 2076, 2579, 1257, 4902, 5928, 13232, 5622, 19641, 1368, 11577, 5128, 22552, 1368, 11577, 12875, 22552, 1368, 5853, 1766, 191, 1713, 1391, 4902, 5928, 13232, 5622, 19641, 1368, 5853, 1766, 191, 1113, 1216, 5128, 22552, 1368, 11577, 12875, 22552, 1368, 1613, 1391, 1686, 6500, 1527, 1299, 4001, 8985, 1125, 2969, 10606, 1317, 1417, 1142, 1793, 1309, 1113, 1216, 140, 2551, 1416, 1164, 1154, 1382, 1313, 1713, 1859, 1362, 1309, 1713, 1288, 2934, 1382, 12121, 1215, 1113, 1216, 6687, 2932, 4249, 1382, 8444, 1256, 1113, 1216, 141, 1188, 4262, 1125, 14439, 1197, 9590, 1313, 1158, 2321, 24890, 13459, 20544, 11052, 1424, 13635, 7364, 5825, 1424, 6411, 1591, 7454, 1149, 1410, 10764, 1766, 191, 9996, 3103, 1257, 29105, 1171, 14351, 1161, 2179, 1194, 10764, 1766, 1427, 10718, 1201, 1147, 1165, 1257, 1135, 5379, 20385, 1366, 7594, 1135, 11964, 5532, 1475, 1272, 1165, 32001, 1424, 32000, 20036, 8609, 1170, 19167, 1125, 22154, 24477, 1188, 3862, 1227, 6285, 1165, 132, 132, 119, 8479, 191, 1299, 1189, 3755, 10457, 244, 1357, 1915, 1823, 5162, 1313, 1207, 25852, 1125, 9184, 1836, 121, 1548, 3755, 10457, 244, 8479, 191, 1299, 1318, 12074, 25449, 7314, 15762, 1215, 1170, 5059, 1136, 1256, 1170, 1417, 1142, 30450, 1768, 17009, 1309, 1256, 1158, 4794, 1125, 2492, 1227, 9184, 11682, 4374, 1170, 9184, 1836, 10028, 1362, 1318, 5219, 6529, 6215, 23964, 1368, 1613, 116, 2934, 5162, 1256, 11269, 1188, 11582, 2079, 6640, 1527, 9184, 7017, 6415, 8956, 1207, 10102, 1125, 25131, 5787, 1149, 1125, 9184, 11682, 11525, 1199, 1571, 5114, 2651, 1297, 3066, 1158, 12074, 25449, 7314, 4249, 1382, 4435, 1303, 1167, 1309, 11582, 1299, 12669, 1215, 1189, 9184, 1836, 8193, 7225, 3547, 1281, 30120, 1670, 1154, 1215, 1189, 12175, 25815, 1773, 3266, 2576, 4033, 1227, 3755, 10457, 244, 8479, 191, 2856, 119, 1186, 9316, 119, 27776, 1158, 2076, 5076, 1309, 1170, 2076, 5059, 5617, 1186, 2544, 1216, 1119, 8273, 3613, 6739, 1382, 1125, 2922, 6285, 1125, 8479, 3378, 1723, 1125, 5087, 1417, 1142, 2518, 2004, 1197, 24112, 1610, 1357, 4491, 1129, 4393, 9124, 1186, 1165, 3613, 1167, 1186, 24477, 7706, 1309, 3336, 5853, 1766, 191, 1582, 1256, 1293, 5104, 1167, 2324, 18509, 1167, 3336, 5853, 1766, 191, 1167, 3336, 11169, 4294, 1954, 115, 5853, 1766, 21601, 1256, 20867, 1165, 3613, 1388, 4248, 2184, 2651, 7817, 1170, 1417, 1142, 1793, 9811, 3365, 1251, 1110, 5125, 1189, 9184, 1836, 2079, 1189, 12316, 1125, 10005, 119, 1527, 1915, 14868, 1189, 2579, 4534, 5114, 1120, 3502, 2093, 2951, 4070, 2232, 4902, 5928, 13232, 5622, 19641, 1368, 11577, 5128, 22552, 1368, 11577, 12875, 22552, 1368, 1613, 9066, 488, 1368, 11577, 140, 3715, 1368, 1613, 1236, 488, 1368, 11577, 141, 3715, 1368, 1613, 8211, 22507, 1170, 2579, 6531, 3794, 1207, 9184, 3051, 1113, 1216, 5128, 1113, 1216, 12875, 1167, 1713, 2830, 1281, 10250, 1107, 1317, 2076, 1895, 5949, 10005, 119, 1995, 1906, 1309, 1170, 1417, 1142, 1793, 6462, 30922, 1189, 2579, 2864, 16476, 2232, 2880, 1248, 124, 488, 472, 1368, 1613, 2040, 1539, 2696, 1158, 5219, 2151, 1303, 1215, 1713, 106, 2880, 1248, 125, 488, 472, 1368, 11577, 140, 2040, 1539, 2696, 1158, 5219, 2151, 1303, 1215, 1113, 1216, 140, 106, 2218, 1248, 125, 3715, 1248, 124, 2040, 12811, 1363, 2904, 1318, 2571, 1974, 106, 2642, 1248, 125, 8528, 1368, 11577, 140, 2040, 4271, 1188, 2574, 1158, 5219, 2151, 1303, 1215, 1113, 1216, 140, 106, 134, 1867, 2076, 1256, 1113, 1216, 12875, 1579, 4056, 1309, 1713, 1299, 10502, 1188, 2069, 2888, 15898, 6060, 1309, 106, 134, 1113, 1216, 140, 1915, 1823, 21082, 1188, 1713, 3471, 2119, 1188, 24470, 19441, 2079, 1170, 2076, 1895, 5949, 3563, 2880, 1248, 124, 488, 472, 1368, 1613, 106, 2880, 1248, 125, 488, 472, 1368, 11577, 141, 106, 2218, 1248, 125, 3715, 1248, 124, 106, 2642, 1248, 125, 8528, 1368, 11577, 141, 24367, 2734, 10032, 1995, 1170, 3755, 10457, 244, 8479, 191, 1299, 5162, 1167, 1309, 1158, 2321, 17630, 1299, 5255, 1303, 1856, 2232, 4902, 5928, 13232, 5622, 19641, 1368, 5853, 1766, 191, 1113, 1216, 5128, 22552, 1368, 5853, 1766, 191, 1113, 1216, 12875, 22552, 1368, 5853, 1766, 191, 1713, 1391, 1132, 1500, 1170, 1417, 1142, 1793, 1299, 16849, 1188, 1928, 12709, 1309, 1113, 1216, 5128, 1113, 1216, 141, 1167, 1713, 2151, 1129, 2079, 5542, 1895, 2844, 1525, 1167, 1309, 1158, 3591, 1188, 2574, 2335, 9184, 1836, 2551, 2949, 22236, 172, 1382, 1207, 2905, 9184, 1836, 1297, 1548, 5059, 1136, 24700, 1170, 1417, 1142, 1793, 116, 1299, 6606, 1125, 30267, 1188, 1440, 1309, 1207, 9184, 3051, 1288, 2151, 1129, 1382, 1207, 9359, 23496, 13699, 1262, 20150, 1309, 1170, 1417, 1142, 1793, 1915, 30922, 1189, 6005, 2579, 1856, 8295, 2232, 2880, 1248, 124, 488, 472, 1368, 1613, 106, 2880, 1248, 125, 488, 472, 1368, 11577, 140, 106, 2218, 1248, 125, 3715, 1248, 124, 106, 2642, 1248, 125, 8528, 1368, 11577, 140, 106, 134, 30377, 1309, 1713, 4249, 1382, 1169, 6819, 244, 1295, 134, 6060, 1309, 1170, 1417, 1142, 1793, 9811, 1309, 3557, 23259, 1475, 244, 106, 2880, 1248, 125, 488, 472, 1368, 11577, 141, 106, 2218, 1248, 125, 3715, 1248, 124, 106, 2642, 1248, 125, 8528, 1368, 11577, 141, 7984, 197, 1309, 1170, 2579, 4489, 2725, 1136, 1299, 1408, 6001, 6060, 1309, 1158, 5219, 2151, 1303, 1215, 1713, 4249, 22327, 11471, 5860, 2768, 1388, 3466, 1915, 8807, 3393, 1309, 1313, 2140, 7682, 2008, 2069, 2191, 3972, 2175, 7085, 2072, 1170, 2076, 2579, 1257, 4902, 5928, 13232, 5622, 19641, 1368, 11577, 5128, 22552, 1368, 11577, 12875, 22552, 1368, 5853, 1766, 191, 1713, 1391, 4902, 5928, 13232, 5622, 19641, 1368, 5853, 1766, 191, 1113, 1216, 5128, 22552, 1368, 11577, 12875, 22552, 1368, 1613, 1391, 1686, 6500, 1527, 1299, 4001, 8985, 1125, 2969, 10606, 1317, 1417, 1142, 1793, 1309, 1113, 1216, 140, 2551, 1416, 1164, 1154, 1382, 1313, 1713, 1859, 1362, 1309, 1713, 1288, 2934, 1382, 12121, 1215, 1113, 1216, 6687, 2932, 4249, 1382, 8444, 1256, 1113, 1216, 141, 1188, 4262, 1125, 14439, 1197, 9590, 1313, 1158, 2321, 24890, 13459, 20544, 11052, 1424, 13635, 7364, 5825, 1424, 6411, 1591, 7454, 1149, 1410, 10764, 1766, 191, 9996, 3103, 1257, 29105, 1171, 14351, 1161, 2179, 1194, 10764, 1766, 1427, 10718, 1201, 1147, 1165, 1257, 1135, 5379, 20385, 1366, 7594, 1135, 11964, 5532, 1475, 1272, 1165, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 8609, 1170, 19167, 1125, 22154, 24477, 1188, 3862, 1227, 6285, 1165, 132, 132, 119, 8479, 191, 1299, 1189, 3755, 10457, 244, 1357, 1915, 1823, 5162, 1313, 1207, 25852, 1125, 9184, 1836, 121, 1548, 3755, 10457, 244, 8479, 191, 1299, 1318, 12074, 25449, 7314, 15762, 1215, 1170, 5059, 1136, 1256, 1170, 1417, 1142, 30450, 1768, 17009, 1309, 1256, 1158, 4794, 1125, 2492, 1227, 9184, 11682, 4374, 1170, 9184, 1836, 10028, 1362, 1318, 5219, 6529, 6215, 23964, 1368, 1613, 116, 2934, 5162, 1256, 11269, 1188, 11582, 2079, 6640, 1527, 9184, 7017, 6415, 8956, 1207, 10102, 1125, 25131, 5787, 1149, 1125, 9184, 11682, 11525, 1199, 1571, 5114, 2651, 1297, 3066, 1158, 12074, 25449, 7314, 4249, 1382, 4435, 1303, 1167, 1309, 11582, 1299, 12669, 1215, 1189, 9184, 1836, 8193, 7225, 3547, 1281, 30120, 1670, 1154, 1215, 1189, 12175, 25815, 1773, 3266, 2576, 4033, 1227, 3755, 10457, 244, 8479, 191, 2856, 119, 1186, 9316, 119, 27776, 1158, 2076, 5076, 1309, 1170, 2076, 5059, 5617, 1186, 2544, 1216, 1119, 8273, 3613, 6739, 1382, 1125, 2922, 6285, 1125, 8479, 3378, 1723, 1125, 5087, 1417, 1142, 2518, 2004, 1197, 24112, 1610, 1357, 4491, 1129, 4393, 9124, 1186, 1165, 3613, 1167, 1186, 24477, 7706, 1309, 3336, 5853, 1766, 191, 1582, 1256, 1293, 5104, 1167, 2324, 18509, 1167, 3336, 5853, 1766, 191, 1167, 3336, 11169, 4294, 1954, 115, 5853, 1766, 21601, 1256, 20867, 1165, 3613, 1388, 4248, 2184, 2651, 7817, 1170, 1417, 1142, 1793, 9811, 3365, 1251, 1110, 5125, 1189, 9184, 1836, 2079, 1189, 12316, 1125, 10005, 119, 1527, 1915, 14868, 1189, 2579, 4534, 5114, 1120, 3502, 2093, 2951, 4070, 2232, 4902, 5928, 13232, 5622, 19641, 1368, 11577, 5128, 22552, 1368, 11577, 12875, 22552, 1368, 1613, 9066, 488, 1368, 11577, 140, 3715, 1368, 1613, 1236, 488, 1368, 11577, 141, 3715, 1368, 1613, 8211, 22507, 1170, 2579, 6531, 3794, 1207, 9184, 3051, 1113, 1216, 5128, 1113, 1216, 12875, 1167, 1713, 2830, 1281, 10250, 1107, 1317, 2076, 1895, 5949, 10005, 119, 1995, 1906, 1309, 1170, 1417, 1142, 1793, 6462, 30922, 1189, 2579, 2864, 16476, 2232, 2880, 1248, 124, 488, 472, 1368, 1613, 2040, 1539, 2696, 1158, 5219, 2151, 1303, 1215, 1713, 106, 2880, 1248, 125, 488, 472, 1368, 11577, 140, 2040, 1539, 2696, 1158, 5219, 2151, 1303, 1215, 1113, 1216, 140, 106, 2218, 1248, 125, 3715, 1248, 124, 2040, 12811, 1363, 2904, 1318, 2571, 1974, 106, 2642, 1248, 125, 8528, 1368, 11577, 140, 2040, 4271, 1188, 2574, 1158, 5219, 2151, 1303, 1215, 1113, 1216, 140, 106, 134, 1867, 2076, 1256, 1113, 1216, 12875, 1579, 4056, 1309, 1713, 1299, 10502, 1188, 2069, 2888, 15898, 6060, 1309, 106, 134, 1113, 1216, 140, 1915, 1823, 21082, 1188, 1713, 3471, 2119, 1188, 24470, 19441, 2079, 1170, 2076, 1895, 5949, 3563, 2880, 1248, 124, 488, 472, 1368, 1613, 106, 2880, 1248, 125, 488, 472, 1368, 11577, 141, 106, 2218, 1248, 125, 3715, 1248, 124, 106, 2642, 1248, 125, 8528, 1368, 11577, 141, 24367, 2734, 10032, 1995, 1170, 3755, 10457, 244, 8479, 191, 1299, 5162, 1167, 1309, 1158, 2321, 17630, 1299, 5255, 1303, 1856, 2232, 4902, 5928, 13232, 5622, 19641, 1368, 5853, 1766, 191, 1113, 1216, 5128, 22552, 1368, 5853, 1766, 191, 1113, 1216, 12875, 22552, 1368, 5853, 1766, 191, 1713, 1391, 1132, 1500, 1170, 1417, 1142, 1793, 1299, 16849, 1188, 1928, 12709, 1309, 1113, 1216, 5128, 1113, 1216, 141, 1167, 1713, 2151, 1129, 2079, 5542, 1895, 2844, 1525, 1167, 1309, 1158, 3591, 1188, 2574, 2335, 9184, 1836, 2551, 2949, 22236, 172, 1382, 1207, 2905, 9184, 1836, 1297, 1548, 5059, 1136, 24700, 1170, 1417, 1142, 1793, 116, 1299, 6606, 1125, 30267, 1188, 1440, 1309, 1207, 9184, 3051, 1288, 2151, 1129, 1382, 1207, 9359, 23496, 13699, 1262, 20150, 1309, 1170, 1417, 1142, 1793, 1915, 30922, 1189, 6005, 2579, 1856, 8295, 2232, 2880, 1248, 124, 488, 472, 1368, 1613, 106, 2880, 1248, 125, 488, 472, 1368, 11577, 140, 106, 2218, 1248, 125, 3715, 1248, 124, 106, 2642, 1248, 125, 8528, 1368, 11577, 140, 106, 134, 30377, 1309, 1713, 4249, 1382, 1169, 6819, 244, 1295, 134, 6060, 1309, 1170, 1417, 1142, 1793, 9811, 1309, 3557, 23259, 1475, 244, 106, 2880, 1248, 125, 488, 472, 1368, 11577, 141, 106, 2218, 1248, 125, 3715, 1248, 124, 106, 2642, 1248, 125, 8528, 1368, 11577, 141, 7984, 197, 1309, 1170, 2579, 4489, 2725, 1136, 1299, 1408, 6001, 6060, 1309, 1158, 5219, 2151, 1303, 1215, 1713, 4249, 22327, 11471, 5860, 2768, 1388, 3466, 1915, 8807, 3393, 1309, 1313, 2140, 7682, 2008, 2069, 2191, 3972, 2175, 7085, 2072, 1170, 2076, 2579, 1257, 4902, 5928, 13232, 5622, 19641, 1368, 11577, 5128, 22552, 1368, 11577, 12875, 22552, 1368, 5853, 1766, 191, 1713, 1391, 4902, 5928, 13232, 5622, 19641, 1368, 5853, 1766, 191, 1113, 1216, 5128, 22552, 1368, 11577, 12875, 22552, 1368, 1613, 1391, 1686, 6500, 1527, 1299, 4001, 8985, 1125, 2969, 10606, 1317, 1417, 1142, 1793, 1309, 1113, 1216, 140, 2551, 1416, 1164, 1154, 1382, 1313, 1713, 1859, 1362, 1309, 1713, 1288, 2934, 1382, 12121, 1215, 1113, 1216, 6687, 2932, 4249, 1382, 8444, 1256, 1113, 1216, 141, 1188, 4262, 1125, 14439, 1197, 9590, 1313, 1158, 2321, 24890, 13459, 20544, 11052, 1424, 13635, 7364, 5825, 1424, 6411, 1591, 7454, 1149, 1410, 10764, 1766, 191, 9996, 3103, 1257, 29105, 1171, 14351, 1161, 2179, 1194, 10764, 1766, 1427, 10718, 1201, 1147, 1165, 1257, 1135, 5379, 20385, 1366, 7594, 1135, 11964, 5532, 1475, 1272, 1165, 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, 141, 1538, 2042, 6604, 181, 5611, 1299, 1189, 15644, 5485, 4607, 1354, 1167, 1441, 30941, 2720, 5252, 1188, 2801, 1170, 488, 128, 2738, 488, 124, 129, 131, 132, 1167, 4541, 1996, 2750, 488, 124, 130, 130, 123, 12258, 1299, 11538, 1317, 14701, 1125, 2801, 1175, 124, 130, 124, 125, 1576, 1768, 16722, 1186, 488, 124, 130, 124, 131, 12674, 27138, 1772, 25855, 2855, 1261, 1125, 1158, 12554, 1122, 14877, 124, 130, 129, 131, 1496, 5921, 1125, 6780, 13822, 7151, 1369, 1186, 1158, 7957, 1197, 9011, 1125, 2801, 1167, 1125, 12674, 27138, 6927, 121, 15518, 1527, 1299, 13822, 1197, 1975, 3464, 1175, 124, 130, 125, 125, 120, 124, 130, 125, 129, 4023, 5164, 1281, 9331, 1112, 6349, 1188, 1158, 14580, 2290, 1170, 17260, 10329, 1125, 19251, 1327, 244, 1541, 1167, 1186, 6564, 1188, 1158, 14976, 119, 17663, 1188, 1293, 3604, 177, 6299, 1173, 11885, 6637, 1653, 19134, 1571, 19791, 1125, 1772, 17526, 1300, 1594, 8915, 1527, 21450, 1197, 16996, 2874, 14387, 19055, 1362, 7273, 2931, 1188, 26564, 1125, 23055, 119, 1300, 3458, 6248, 1525, 2515, 1234, 1313, 23879, 11980, 12891, 6785, 1469, 1158, 10174, 1125, 1293, 3604, 177, 6299, 1173, 11885, 1153, 1167, 10759, 17449, 5904, 1125, 1643, 7219, 1333, 1450, 6396, 23436, 175, 12361, 1548, 8738, 1148, 1167, 6721, 2722, 1292, 7011, 488, 124, 130, 128, 127, 4023, 5164, 1299, 6711, 1125, 1158, 6433, 17835, 242, 28120, 1388, 282, 19760, 6331, 106, 2576, 30609, 1125, 13742, 27585, 197, 1762, 6721, 6480, 1282, 2813, 185, 2357, 1202, 1205, 3174, 16385, 1422, 1962, 1285, 488, 124, 130, 127, 126, 7216, 3028, 3563, 16996, 2874, 14387, 19055, 1362, 7273, 2931, 1188, 26564, 1125, 23055, 119, 1300, 3458, 6248, 1525, 2515, 1234, 1313, 23879, 11980, 12891, 6785, 1469, 1158, 10174, 1125, 1293, 3604, 177, 6299, 1173, 11885, 1153, 1167, 10759, 17449, 5904, 1125, 1643, 7219, 1333, 6909, 1192, 23436, 175, 12361, 1548, 8738, 1148, 2040, 6721, 2722, 1292, 7011, 19401, 488, 124, 119, 488, 124, 130, 128, 127, 7216, 3028, 3563, 1548, 11546, 1125, 1158, 5169, 1469, 12598, 1327, 6634, 30882, 1186, 2079, 1186, 1189, 1332, 3212, 6721, 16385, 1422, 1170, 1933, 21165, 488, 124, 130, 128, 127, 119, 488, 126, 125, 5701, 7216, 3028, 3563, 14124, 7400, 1197, 8448, 1109, 1887, 4917, 3939, 1469, 1293, 3604, 177, 6299, 1173, 11885, 3794, 6721, 10787, 27342, 7087, 2114, 488, 124, 130, 128, 130, 120, 124, 130, 130, 123, 121, 3859, 2144, 1186, 3247, 1125, 2576, 20969, 1125, 1158, 3497, 2348, 1125, 4563, 1325, 1193, 8270, 1124, 1155, 20332, 1197, 8325, 14814, 1197, 3203, 8176, 20857, 1125, 18163, 3833, 7400, 1197, 8448, 1109, 1887, 4917, 1429, 18993, 11031, 1153, 1496, 6780, 5264, 192, 1292, 6630, 7087, 2114, 27377, 7060, 12519, 1292, 2114, 22242, 2042, 6604, 181, 5611, 1167, 1293, 3604, 177, 6299, 1173, 11885, 3794, 6721, 3523, 10787, 14187, 7087, 2114, 13014, 6857, 1136, 1227, 12229, 119, 5820, 1125, 1158, 5922, 29004, 1188, 18163, 2244, 26687, 488, 124, 130, 130, 123, 1388, 6535, 19297, 106, 1202, 31092, 7664, 18014, 196, 2944, 20024, 1175, 3562, 1306, 11883, 1617, 1496, 6709, 1266, 1157, 5650, 488, 124, 130, 127, 125, 119, 488, 125, 3035, 1155, 1173, 1384, 1312, 1125, 1293, 3604, 10691, 173, 16860, 7198, 184, 18458, 1108, 1659, 6721, 488, 124, 130, 128, 127, 119, 488, 127, 19401, 1147, 120, 124, 125, 210, 1155, 14212, 1125, 10787, 1192, 2360, 2982, 1643, 18969, 1965, 6709, 4273, 3724, 4048, 488, 124, 130, 128, 123, 2040, 1441, 5108, 6772, 1227, 6092, 1125, 1293, 4662, 4540, 1575, 1204, 9344, 1308, 7198, 1333, 1155, 1643, 4415, 13262, 2357, 8605, 3100, 19008, 10584, 4532, 14959, 2801, 1496, 488, 124, 130, 128, 127, 119, 1147, 120, 124, 125, 210, 121, 1768, 10515, 2335, 15956, 1197, 23789, 3327, 1125, 8991, 1173, 1607, 2014, 1107, 1153, 5519, 2643, 9061, 1202, 10463, 3261, 1860, 119, 488, 124, 130, 127, 131, 11488, 17994, 106, 1606, 22242, 2042, 6604, 181, 5611, 1524, 1313, 10935, 1772, 121, 6174, 28050, 7072, 4134, 5116, 7615, 16402, 1167, 11990, 6721, 3479, 5264, 121, 6174, 28050, 488, 124, 131, 126, 130, 119, 1928, 183, 3145, 19401, 488, 129, 126, 119, 5701, 488, 132, 127, 120, 132, 128, 9994, 2624, 5825, 29496, 1186, 2738, 488, 124, 129, 131, 132, 8156, 1188, 2801, 5526, 31958, 1262, 2720, 1227, 11402, 31549, 6298, 3050, 7569, 1354, 2720, 1227, 11402, 31549, 6298, 2278, 1854, 8765, 2720, 1227, 11402, 31549, 6298, 18823, 30941, 2720, 12534, 1125, 13640, 2081, 16625, 15604, 27283, 161, 31549, 6298, 116, 114, 32001, 1424, 32000, 20036, 24623, 141, 1538, 2042, 6604, 181, 5611, 1299, 1189, 15644, 5485, 4607, 1354, 1167, 1441, 30941, 2720, 5252, 1188, 2801, 1170, 488, 128, 2738, 488, 124, 129, 131, 132, 1167, 4541, 1996, 2750, 488, 124, 130, 130, 123, 12258, 1299, 11538, 1317, 14701, 1125, 2801, 1175, 124, 130, 124, 125, 1576, 1768, 16722, 1186, 488, 124, 130, 124, 131, 12674, 27138, 1772, 25855, 2855, 1261, 1125, 1158, 12554, 1122, 14877, 124, 130, 129, 131, 1496, 5921, 1125, 6780, 13822, 7151, 1369, 1186, 1158, 7957, 1197, 9011, 1125, 2801, 1167, 1125, 12674, 27138, 6927, 121, 15518, 1527, 1299, 13822, 1197, 1975, 3464, 1175, 124, 130, 125, 125, 120, 124, 130, 125, 129, 4023, 5164, 1281, 9331, 1112, 6349, 1188, 1158, 14580, 2290, 1170, 17260, 10329, 1125, 19251, 1327, 244, 1541, 1167, 1186, 6564, 1188, 1158, 14976, 119, 17663, 1188, 1293, 3604, 177, 6299, 1173, 11885, 6637, 1653, 19134, 1571, 19791, 1125, 1772, 17526, 1300, 1594, 8915, 1527, 21450, 1197, 16996, 2874, 14387, 19055, 1362, 7273, 2931, 1188, 26564, 1125, 23055, 119, 1300, 3458, 6248, 1525, 2515, 1234, 1313, 23879, 11980, 12891, 6785, 1469, 1158, 10174, 1125, 1293, 3604, 177, 6299, 1173, 11885, 1153, 1167, 10759, 17449, 5904, 1125, 1643, 7219, 1333, 1450, 6396, 23436, 175, 12361, 1548, 8738, 1148, 1167, 6721, 2722, 1292, 7011, 488, 124, 130, 128, 127, 4023, 5164, 1299, 6711, 1125, 1158, 6433, 17835, 242, 28120, 1388, 282, 19760, 6331, 106, 2576, 30609, 1125, 13742, 27585, 197, 1762, 6721, 6480, 1282, 2813, 185, 2357, 1202, 1205, 3174, 16385, 1422, 1962, 1285, 488, 124, 130, 127, 126, 7216, 3028, 3563, 16996, 2874, 14387, 19055, 1362, 7273, 2931, 1188, 26564, 1125, 23055, 119, 1300, 3458, 6248, 1525, 2515, 1234, 1313, 23879, 11980, 12891, 6785, 1469, 1158, 10174, 1125, 1293, 3604, 177, 6299, 1173, 11885, 1153, 1167, 10759, 17449, 5904, 1125, 1643, 7219, 1333, 6909, 1192, 23436, 175, 12361, 1548, 8738, 1148, 2040, 6721, 2722, 1292, 7011, 19401, 488, 124, 119, 488, 124, 130, 128, 127, 7216, 3028, 3563, 1548, 11546, 1125, 1158, 5169, 1469, 12598, 1327, 6634, 30882, 1186, 2079, 1186, 1189, 1332, 3212, 6721, 16385, 1422, 1170, 1933, 21165, 488, 124, 130, 128, 127, 119, 488, 126, 125, 5701, 7216, 3028, 3563, 14124, 7400, 1197, 8448, 1109, 1887, 4917, 3939, 1469, 1293, 3604, 177, 6299, 1173, 11885, 3794, 6721, 10787, 27342, 7087, 2114, 488, 124, 130, 128, 130, 120, 124, 130, 130, 123, 121, 3859, 2144, 1186, 3247, 1125, 2576, 20969, 1125, 1158, 3497, 2348, 1125, 4563, 1325, 1193, 8270, 1124, 1155, 20332, 1197, 8325, 14814, 1197, 3203, 8176, 20857, 1125, 18163, 3833, 7400, 1197, 8448, 1109, 1887, 4917, 1429, 18993, 11031, 1153, 1496, 6780, 5264, 192, 1292, 6630, 7087, 2114, 27377, 7060, 12519, 1292, 2114, 22242, 2042, 6604, 181, 5611, 1167, 1293, 3604, 177, 6299, 1173, 11885, 3794, 6721, 3523, 10787, 14187, 7087, 2114, 13014, 6857, 1136, 1227, 12229, 119, 5820, 1125, 1158, 5922, 29004, 1188, 18163, 2244, 26687, 488, 124, 130, 130, 123, 1388, 6535, 19297, 106, 1202, 31092, 7664, 18014, 196, 2944, 20024, 1175, 3562, 1306, 11883, 1617, 1496, 6709, 1266, 1157, 5650, 488, 124, 130, 127, 125, 119, 488, 125, 3035, 1155, 1173, 1384, 1312, 1125, 1293, 3604, 10691, 173, 16860, 7198, 184, 18458, 1108, 1659, 6721, 488, 124, 130, 128, 127, 119, 488, 127, 19401, 1147, 120, 124, 125, 210, 1155, 14212, 1125, 10787, 1192, 2360, 2982, 1643, 18969, 1965, 6709, 4273, 3724, 4048, 488, 124, 130, 128, 123, 2040, 1441, 5108, 6772, 1227, 6092, 1125, 1293, 4662, 4540, 1575, 1204, 9344, 1308, 7198, 1333, 1155, 1643, 4415, 13262, 2357, 8605, 3100, 19008, 10584, 4532, 14959, 2801, 1496, 488, 124, 130, 128, 127, 119, 1147, 120, 124, 125, 210, 121, 1768, 10515, 2335, 15956, 1197, 23789, 3327, 1125, 8991, 1173, 1607, 2014, 1107, 1153, 5519, 2643, 9061, 1202, 10463, 3261, 1860, 119, 488, 124, 130, 127, 131, 11488, 17994, 106, 1606, 22242, 2042, 6604, 181, 5611, 1524, 1313, 10935, 1772, 121, 6174, 28050, 7072, 4134, 5116, 7615, 16402, 1167, 11990, 6721, 3479, 5264, 121, 6174, 28050, 488, 124, 131, 126, 130, 119, 1928, 183, 3145, 19401, 488, 129, 126, 119, 5701, 488, 132, 127, 120, 132, 128, 9994, 2624, 5825, 29496, 1186, 2738, 488, 124, 129, 131, 132, 8156, 1188, 2801, 5526, 31958, 1262, 2720, 1227, 11402, 31549, 6298, 3050, 7569, 1354, 2720, 1227, 11402, 31549, 6298, 2278, 1854, 8765, 2720, 1227, 11402, 31549, 6298, 18823, 30941, 2720, 12534, 1125, 13640, 2081, 16625, 15604, 27283, 161, 31549, 6298, 116, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 141, 1538, 2042, 6604, 181, 5611, 1299, 1189, 15644, 5485, 4607, 1354, 1167, 1441, 30941, 2720, 5252, 1188, 2801, 1170, 488, 128, 2738, 488, 124, 129, 131, 132, 1167, 4541, 1996, 2750, 488, 124, 130, 130, 123, 12258, 1299, 11538, 1317, 14701, 1125, 2801, 1175, 124, 130, 124, 125, 1576, 1768, 16722, 1186, 488, 124, 130, 124, 131, 12674, 27138, 1772, 25855, 2855, 1261, 1125, 1158, 12554, 1122, 14877, 124, 130, 129, 131, 1496, 5921, 1125, 6780, 13822, 7151, 1369, 1186, 1158, 7957, 1197, 9011, 1125, 2801, 1167, 1125, 12674, 27138, 6927, 121, 15518, 1527, 1299, 13822, 1197, 1975, 3464, 1175, 124, 130, 125, 125, 120, 124, 130, 125, 129, 4023, 5164, 1281, 9331, 1112, 6349, 1188, 1158, 14580, 2290, 1170, 17260, 10329, 1125, 19251, 1327, 244, 1541, 1167, 1186, 6564, 1188, 1158, 14976, 119, 17663, 1188, 1293, 3604, 177, 6299, 1173, 11885, 6637, 1653, 19134, 1571, 19791, 1125, 1772, 17526, 1300, 1594, 8915, 1527, 21450, 1197, 16996, 2874, 14387, 19055, 1362, 7273, 2931, 1188, 26564, 1125, 23055, 119, 1300, 3458, 6248, 1525, 2515, 1234, 1313, 23879, 11980, 12891, 6785, 1469, 1158, 10174, 1125, 1293, 3604, 177, 6299, 1173, 11885, 1153, 1167, 10759, 17449, 5904, 1125, 1643, 7219, 1333, 1450, 6396, 23436, 175, 12361, 1548, 8738, 1148, 1167, 6721, 2722, 1292, 7011, 488, 124, 130, 128, 127, 4023, 5164, 1299, 6711, 1125, 1158, 6433, 17835, 242, 28120, 1388, 282, 19760, 6331, 106, 2576, 30609, 1125, 13742, 27585, 197, 1762, 6721, 6480, 1282, 2813, 185, 2357, 1202, 1205, 3174, 16385, 1422, 1962, 1285, 488, 124, 130, 127, 126, 7216, 3028, 3563, 16996, 2874, 14387, 19055, 1362, 7273, 2931, 1188, 26564, 1125, 23055, 119, 1300, 3458, 6248, 1525, 2515, 1234, 1313, 23879, 11980, 12891, 6785, 1469, 1158, 10174, 1125, 1293, 3604, 177, 6299, 1173, 11885, 1153, 1167, 10759, 17449, 5904, 1125, 1643, 7219, 1333, 6909, 1192, 23436, 175, 12361, 1548, 8738, 1148, 2040, 6721, 2722, 1292, 7011, 19401, 488, 124, 119, 488, 124, 130, 128, 127, 7216, 3028, 3563, 1548, 11546, 1125, 1158, 5169, 1469, 12598, 1327, 6634, 30882, 1186, 2079, 1186, 1189, 1332, 3212, 6721, 16385, 1422, 1170, 1933, 21165, 488, 124, 130, 128, 127, 119, 488, 126, 125, 5701, 7216, 3028, 3563, 14124, 7400, 1197, 8448, 1109, 1887, 4917, 3939, 1469, 1293, 3604, 177, 6299, 1173, 11885, 3794, 6721, 10787, 27342, 7087, 2114, 488, 124, 130, 128, 130, 120, 124, 130, 130, 123, 121, 3859, 2144, 1186, 3247, 1125, 2576, 20969, 1125, 1158, 3497, 2348, 1125, 4563, 1325, 1193, 8270, 1124, 1155, 20332, 1197, 8325, 14814, 1197, 3203, 8176, 20857, 1125, 18163, 3833, 7400, 1197, 8448, 1109, 1887, 4917, 1429, 18993, 11031, 1153, 1496, 6780, 5264, 192, 1292, 6630, 7087, 2114, 27377, 7060, 12519, 1292, 2114, 22242, 2042, 6604, 181, 5611, 1167, 1293, 3604, 177, 6299, 1173, 11885, 3794, 6721, 3523, 10787, 14187, 7087, 2114, 13014, 6857, 1136, 1227, 12229, 119, 5820, 1125, 1158, 5922, 29004, 1188, 18163, 2244, 26687, 488, 124, 130, 130, 123, 1388, 6535, 19297, 106, 1202, 31092, 7664, 18014, 196, 2944, 20024, 1175, 3562, 1306, 11883, 1617, 1496, 6709, 1266, 1157, 5650, 488, 124, 130, 127, 125, 119, 488, 125, 3035, 1155, 1173, 1384, 1312, 1125, 1293, 3604, 10691, 173, 16860, 7198, 184, 18458, 1108, 1659, 6721, 488, 124, 130, 128, 127, 119, 488, 127, 19401, 1147, 120, 124, 125, 210, 1155, 14212, 1125, 10787, 1192, 2360, 2982, 1643, 18969, 1965, 6709, 4273, 3724, 4048, 488, 124, 130, 128, 123, 2040, 1441, 5108, 6772, 1227, 6092, 1125, 1293, 4662, 4540, 1575, 1204, 9344, 1308, 7198, 1333, 1155, 1643, 4415, 13262, 2357, 8605, 3100, 19008, 10584, 4532, 14959, 2801, 1496, 488, 124, 130, 128, 127, 119, 1147, 120, 124, 125, 210, 121, 1768, 10515, 2335, 15956, 1197, 23789, 3327, 1125, 8991, 1173, 1607, 2014, 1107, 1153, 5519, 2643, 9061, 1202, 10463, 3261, 1860, 119, 488, 124, 130, 127, 131, 11488, 17994, 106, 1606, 22242, 2042, 6604, 181, 5611, 1524, 1313, 10935, 1772, 121, 6174, 28050, 7072, 4134, 5116, 7615, 16402, 1167, 11990, 6721, 3479, 5264, 121, 6174, 28050, 488, 124, 131, 126, 130, 119, 1928, 183, 3145, 19401, 488, 129, 126, 119, 5701, 488, 132, 127, 120, 132, 128, 9994, 2624, 5825, 29496, 1186, 2738, 488, 124, 129, 131, 132, 8156, 1188, 2801, 5526, 31958, 1262, 2720, 1227, 11402, 31549, 6298, 3050, 7569, 1354, 2720, 1227, 11402, 31549, 6298, 2278, 1854, 8765, 2720, 1227, 11402, 31549, 6298, 18823, 30941, 2720, 12534, 1125, 13640, 2081, 16625, 15604, 27283, 161, 31549, 6298, 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, 1424, 114, 141, 1231, 1146, 1126, 1257, 1548, 15260, 1244, 1125, 20954, 1774, 1175, 1117, 1373, 5379, 1257, 1233, 1231, 1146, 1126, 133, 1204, 2549, 1161, 13605, 116, 1299, 1189, 3418, 3152, 6319, 2517, 7522, 1304, 15673, 5263, 5485, 8922, 1215, 6522, 1857, 2460, 30034, 1532, 1167, 6480, 17561, 1109, 2036, 6053, 1170, 3151, 3418, 20031, 1300, 1207, 14115, 1548, 3166, 1233, 1231, 1146, 1126, 1167, 1527, 1299, 2442, 2513, 1215, 11689, 2181, 12932, 1335, 3077, 2004, 1913, 22474, 1233, 1231, 1146, 1126, 488, 125, 1257, 1808, 13097, 23536, 1125, 7360, 4000, 1266, 1670, 1186, 488, 125, 123, 123, 127, 19883, 1299, 1318, 2260, 5572, 116, 1167, 1233, 1231, 1146, 1126, 488, 126, 1257, 1643, 14524, 1431, 1125, 1282, 11483, 1186, 488, 125, 123, 123, 128, 7745, 31751, 1424, 17971, 3293, 1197, 1233, 1231, 1146, 3476, 2069, 6346, 1508, 4040, 1120, 1256, 3862, 1188, 1158, 24523, 1227, 15260, 1244, 1125, 20954, 1774, 1357, 10670, 1125, 14878, 1107, 1282, 13945, 1227, 5323, 31753, 1197, 19602, 2290, 1158, 2698, 3315, 1197, 8574, 1227, 4732, 1240, 14023, 3352, 4403, 1424, 20638, 1257, 1233, 1231, 1146, 1126, 1257, 1548, 15260, 1244, 1125, 20954, 1774, 106, 20638, 5379, 1257, 1233, 1231, 1146, 1126, 133, 1204, 2549, 1161, 13605, 106, 5294, 4521, 1257, 6522, 1857, 2460, 30034, 16303, 6480, 17561, 3382, 106, 2941, 1538, 5844, 1257, 9399, 7690, 1484, 2114, 1248, 17485, 1252, 31016, 15055, 19889, 1150, 1762, 18627, 1997, 1120, 1712, 106, 19210, 1257, 1173, 4270, 1233, 19359, 1659, 1173, 1277, 2460, 30034, 16303, 4563, 1443, 9519, 1285, 18769, 196, 22480, 1210, 1659, 9399, 7690, 1484, 2114, 11689, 2086, 8713, 9776, 8255, 1424, 20357, 1257, 1266, 14446, 14162, 1243, 106, 4304, 1272, 1257, 17170, 1205, 1248, 1153, 1756, 106, 12890, 16051, 1257, 6480, 17561, 21367, 6522, 1857, 2460, 30034, 1532, 106, 9299, 14994, 1257, 9864, 106, 9313, 1277, 1257, 9400, 106, 8399, 1112, 1257, 14657, 1162, 1637, 8838, 30540, 1637, 11906, 106, 25694, 1257, 488, 130, 123, 4826, 106, 7922, 1125, 8969, 7216, 17557, 116, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 8623, 143, 10995, 1194, 161, 3420, 3425, 2137, 1424, 24066, 6174, 1141, 1257, 24212, 192, 6472, 15770, 19310, 1257, 1321, 9458, 106, 16423, 5260, 12289, 1142, 1257, 3867, 172, 1198, 2194, 4353, 3867, 172, 2502, 192, 6472, 27900, 1126, 1108, 1233, 2677, 1257, 3867, 172, 7494, 14541, 11539, 193, 1121, 13612, 1390, 1257, 26829, 1178, 6472, 488, 1257, 7311, 15324, 1352, 1569, 5224, 106, 488, 1257, 3867, 172, 1518, 1273, 1569, 6472, 11539, 193, 1121, 13612, 1390, 1257, 3867, 172, 1202, 2562, 26201, 106, 488, 1257, 1306, 2194, 1333, 180, 1194, 161, 3420, 17377, 1424, 6353, 4978, 5191, 1119, 3441, 2610, 1141, 1257, 24212, 8582, 1637, 3867, 172, 24212, 1119, 2886, 6472, 18584, 1918, 1190, 1257, 1321, 9458, 106, 9436, 1352, 8694, 1257, 3867, 172, 1198, 31997, 1637, 3867, 172, 2502, 8582, 1637, 2855, 1390, 1652, 106, 23888, 7162, 20181, 1257, 26829, 1178, 172, 1637, 1202, 1822, 16926, 106, 9436, 26590, 14472, 1257, 7311, 15324, 1352, 1569, 5224, 106, 1350, 1331, 1126, 4847, 27127, 1257, 3867, 172, 7494, 14541, 8415, 1248, 11772, 1257, 3867, 172, 18522, 1810, 7311, 15324, 1350, 2789, 6472, 20705, 21308, 3595, 1257, 3867, 172, 1518, 1273, 18038, 1637, 1306, 1822, 182, 7703, 106, 24187, 1252, 9202, 192, 1257, 3867, 172, 1202, 2562, 26201, 106, 5941, 1795, 1126, 1306, 1992, 1119, 1257, 7311, 15324, 1266, 1387, 5224, 106, 17486, 1752, 1303, 1202, 6026, 244, 186, 1257, 1306, 2194, 1333, 14541, 23888, 28047, 1262, 1257, 1518, 1172, 179, 7703, 4670, 1353, 7971, 106, 8220, 2466, 1233, 15960, 1128, 1845, 1257, 1548, 14831, 1266, 2886, 6472, 9436, 4173, 1897, 196, 1257, 2502, 192, 6472, 6780, 1222, 1157, 183, 1462, 1257, 1518, 1273, 1387, 172, 1266, 2886, 172, 13776, 1267, 1109, 7683, 24281, 1416, 6897, 5702, 1424, 18014, 2449, 10812, 488, 125, 123, 123, 127, 2232, 18014, 2449, 10812, 1125, 1158, 6742, 9891, 17557, 106, 488, 488, 125, 123, 123, 126, 2232, 4020, 27586, 10102, 29508, 106, 20851, 1863, 1140, 10812, 488, 125, 123, 123, 127, 2232, 30322, 21076, 28713, 1256, 1189, 17557, 4713, 7775, 1430, 1424, 488, 488, 125, 123, 123, 126, 2232, 30322, 17557, 1304, 7180, 11985, 30322, 25081, 106, 30322, 21076, 106, 4020, 31262, 7585, 17482, 9323, 1167, 20117, 2072, 1194, 11333, 5888, 176, 1424, 12253, 1304, 7180, 1430, 1548, 3166, 7364, 5825, 1424, 28912, 6417, 8403, 9665, 1186, 488, 125, 123, 123, 126, 15089, 1304, 15673, 8403, 15089, 13335, 12980, 8403, 15089, 26738, 8403, 15089, 1304, 15673, 9665, 6529, 1186, 6327, 15089, 1233, 1231, 1146, 1126, 114, 32001, 1424, 32000, 20036, 24623, 141, 1231, 1146, 1126, 1257, 1548, 15260, 1244, 1125, 20954, 1774, 1175, 1117, 1373, 5379, 1257, 1233, 1231, 1146, 1126, 133, 1204, 2549, 1161, 13605, 116, 1299, 1189, 3418, 3152, 6319, 2517, 7522, 1304, 15673, 5263, 5485, 8922, 1215, 6522, 1857, 2460, 30034, 1532, 1167, 6480, 17561, 1109, 2036, 6053, 1170, 3151, 3418, 20031, 1300, 1207, 14115, 1548, 3166, 1233, 1231, 1146, 1126, 1167, 1527, 1299, 2442, 2513, 1215, 11689, 2181, 12932, 1335, 3077, 2004, 1913, 22474, 1233, 1231, 1146, 1126, 488, 125, 1257, 1808, 13097, 23536, 1125, 7360, 4000, 1266, 1670, 1186, 488, 125, 123, 123, 127, 19883, 1299, 1318, 2260, 5572, 116, 1167, 1233, 1231, 1146, 1126, 488, 126, 1257, 1643, 14524, 1431, 1125, 1282, 11483, 1186, 488, 125, 123, 123, 128, 7745, 31751, 1424, 17971, 3293, 1197, 1233, 1231, 1146, 3476, 2069, 6346, 1508, 4040, 1120, 1256, 3862, 1188, 1158, 24523, 1227, 15260, 1244, 1125, 20954, 1774, 1357, 10670, 1125, 14878, 1107, 1282, 13945, 1227, 5323, 31753, 1197, 19602, 2290, 1158, 2698, 3315, 1197, 8574, 1227, 4732, 1240, 14023, 3352, 4403, 1424, 20638, 1257, 1233, 1231, 1146, 1126, 1257, 1548, 15260, 1244, 1125, 20954, 1774, 106, 20638, 5379, 1257, 1233, 1231, 1146, 1126, 133, 1204, 2549, 1161, 13605, 106, 5294, 4521, 1257, 6522, 1857, 2460, 30034, 16303, 6480, 17561, 3382, 106, 2941, 1538, 5844, 1257, 9399, 7690, 1484, 2114, 1248, 17485, 1252, 31016, 15055, 19889, 1150, 1762, 18627, 1997, 1120, 1712, 106, 19210, 1257, 1173, 4270, 1233, 19359, 1659, 1173, 1277, 2460, 30034, 16303, 4563, 1443, 9519, 1285, 18769, 196, 22480, 1210, 1659, 9399, 7690, 1484, 2114, 11689, 2086, 8713, 9776, 8255, 1424, 20357, 1257, 1266, 14446, 14162, 1243, 106, 4304, 1272, 1257, 17170, 1205, 1248, 1153, 1756, 106, 12890, 16051, 1257, 6480, 17561, 21367, 6522, 1857, 2460, 30034, 1532, 106, 9299, 14994, 1257, 9864, 106, 9313, 1277, 1257, 9400, 106, 8399, 1112, 1257, 14657, 1162, 1637, 8838, 30540, 1637, 11906, 106, 25694, 1257, 488, 130, 123, 4826, 106, 7922, 1125, 8969, 7216, 17557, 116, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 8623, 143, 10995, 1194, 161, 3420, 3425, 2137, 1424, 24066, 6174, 1141, 1257, 24212, 192, 6472, 15770, 19310, 1257, 1321, 9458, 106, 16423, 5260, 12289, 1142, 1257, 3867, 172, 1198, 2194, 4353, 3867, 172, 2502, 192, 6472, 27900, 1126, 1108, 1233, 2677, 1257, 3867, 172, 7494, 14541, 11539, 193, 1121, 13612, 1390, 1257, 26829, 1178, 6472, 488, 1257, 7311, 15324, 1352, 1569, 5224, 106, 488, 1257, 3867, 172, 1518, 1273, 1569, 6472, 11539, 193, 1121, 13612, 1390, 1257, 3867, 172, 1202, 2562, 26201, 106, 488, 1257, 1306, 2194, 1333, 180, 1194, 161, 3420, 17377, 1424, 6353, 4978, 5191, 1119, 3441, 2610, 1141, 1257, 24212, 8582, 1637, 3867, 172, 24212, 1119, 2886, 6472, 18584, 1918, 1190, 1257, 1321, 9458, 106, 9436, 1352, 8694, 1257, 3867, 172, 1198, 31997, 1637, 3867, 172, 2502, 8582, 1637, 2855, 1390, 1652, 106, 23888, 7162, 20181, 1257, 26829, 1178, 172, 1637, 1202, 1822, 16926, 106, 9436, 26590, 14472, 1257, 7311, 15324, 1352, 1569, 5224, 106, 1350, 1331, 1126, 4847, 27127, 1257, 3867, 172, 7494, 14541, 8415, 1248, 11772, 1257, 3867, 172, 18522, 1810, 7311, 15324, 1350, 2789, 6472, 20705, 21308, 3595, 1257, 3867, 172, 1518, 1273, 18038, 1637, 1306, 1822, 182, 7703, 106, 24187, 1252, 9202, 192, 1257, 3867, 172, 1202, 2562, 26201, 106, 5941, 1795, 1126, 1306, 1992, 1119, 1257, 7311, 15324, 1266, 1387, 5224, 106, 17486, 1752, 1303, 1202, 6026, 244, 186, 1257, 1306, 2194, 1333, 14541, 23888, 28047, 1262, 1257, 1518, 1172, 179, 7703, 4670, 1353, 7971, 106, 8220, 2466, 1233, 15960, 1128, 1845, 1257, 1548, 14831, 1266, 2886, 6472, 9436, 4173, 1897, 196, 1257, 2502, 192, 6472, 6780, 1222, 1157, 183, 1462, 1257, 1518, 1273, 1387, 172, 1266, 2886, 172, 13776, 1267, 1109, 7683, 24281, 1416, 6897, 5702, 1424, 18014, 2449, 10812, 488, 125, 123, 123, 127, 2232, 18014, 2449, 10812, 1125, 1158, 6742, 9891, 17557, 106, 488, 488, 125, 123, 123, 126, 2232, 4020, 27586, 10102, 29508, 106, 20851, 1863, 1140, 10812, 488, 125, 123, 123, 127, 2232, 30322, 21076, 28713, 1256, 1189, 17557, 4713, 7775, 1430, 1424, 488, 488, 125, 123, 123, 126, 2232, 30322, 17557, 1304, 7180, 11985, 30322, 25081, 106, 30322, 21076, 106, 4020, 31262, 7585, 17482, 9323, 1167, 20117, 2072, 1194, 11333, 5888, 176, 1424, 12253, 1304, 7180, 1430, 1548, 3166, 7364, 5825, 1424, 28912, 6417, 8403, 9665, 1186, 488, 125, 123, 123, 126, 15089, 1304, 15673, 8403, 15089, 13335, 12980, 8403, 15089, 26738, 8403, 15089, 1304, 15673, 9665, 6529, 1186, 6327, 15089, 1233, 1231, 1146, 1126, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 141, 1231, 1146, 1126, 1257, 1548, 15260, 1244, 1125, 20954, 1774, 1175, 1117, 1373, 5379, 1257, 1233, 1231, 1146, 1126, 133, 1204, 2549, 1161, 13605, 116, 1299, 1189, 3418, 3152, 6319, 2517, 7522, 1304, 15673, 5263, 5485, 8922, 1215, 6522, 1857, 2460, 30034, 1532, 1167, 6480, 17561, 1109, 2036, 6053, 1170, 3151, 3418, 20031, 1300, 1207, 14115, 1548, 3166, 1233, 1231, 1146, 1126, 1167, 1527, 1299, 2442, 2513, 1215, 11689, 2181, 12932, 1335, 3077, 2004, 1913, 22474, 1233, 1231, 1146, 1126, 488, 125, 1257, 1808, 13097, 23536, 1125, 7360, 4000, 1266, 1670, 1186, 488, 125, 123, 123, 127, 19883, 1299, 1318, 2260, 5572, 116, 1167, 1233, 1231, 1146, 1126, 488, 126, 1257, 1643, 14524, 1431, 1125, 1282, 11483, 1186, 488, 125, 123, 123, 128, 7745, 31751, 1424, 17971, 3293, 1197, 1233, 1231, 1146, 3476, 2069, 6346, 1508, 4040, 1120, 1256, 3862, 1188, 1158, 24523, 1227, 15260, 1244, 1125, 20954, 1774, 1357, 10670, 1125, 14878, 1107, 1282, 13945, 1227, 5323, 31753, 1197, 19602, 2290, 1158, 2698, 3315, 1197, 8574, 1227, 4732, 1240, 14023, 3352, 4403, 1424, 20638, 1257, 1233, 1231, 1146, 1126, 1257, 1548, 15260, 1244, 1125, 20954, 1774, 106, 20638, 5379, 1257, 1233, 1231, 1146, 1126, 133, 1204, 2549, 1161, 13605, 106, 5294, 4521, 1257, 6522, 1857, 2460, 30034, 16303, 6480, 17561, 3382, 106, 2941, 1538, 5844, 1257, 9399, 7690, 1484, 2114, 1248, 17485, 1252, 31016, 15055, 19889, 1150, 1762, 18627, 1997, 1120, 1712, 106, 19210, 1257, 1173, 4270, 1233, 19359, 1659, 1173, 1277, 2460, 30034, 16303, 4563, 1443, 9519, 1285, 18769, 196, 22480, 1210, 1659, 9399, 7690, 1484, 2114, 11689, 2086, 8713, 9776, 8255, 1424, 20357, 1257, 1266, 14446, 14162, 1243, 106, 4304, 1272, 1257, 17170, 1205, 1248, 1153, 1756, 106, 12890, 16051, 1257, 6480, 17561, 21367, 6522, 1857, 2460, 30034, 1532, 106, 9299, 14994, 1257, 9864, 106, 9313, 1277, 1257, 9400, 106, 8399, 1112, 1257, 14657, 1162, 1637, 8838, 30540, 1637, 11906, 106, 25694, 1257, 488, 130, 123, 4826, 106, 7922, 1125, 8969, 7216, 17557, 116, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 1257, 1424, 488, 8623, 143, 10995, 1194, 161, 3420, 3425, 2137, 1424, 24066, 6174, 1141, 1257, 24212, 192, 6472, 15770, 19310, 1257, 1321, 9458, 106, 16423, 5260, 12289, 1142, 1257, 3867, 172, 1198, 2194, 4353, 3867, 172, 2502, 192, 6472, 27900, 1126, 1108, 1233, 2677, 1257, 3867, 172, 7494, 14541, 11539, 193, 1121, 13612, 1390, 1257, 26829, 1178, 6472, 488, 1257, 7311, 15324, 1352, 1569, 5224, 106, 488, 1257, 3867, 172, 1518, 1273, 1569, 6472, 11539, 193, 1121, 13612, 1390, 1257, 3867, 172, 1202, 2562, 26201, 106, 488, 1257, 1306, 2194, 1333, 180, 1194, 161, 3420, 17377, 1424, 6353, 4978, 5191, 1119, 3441, 2610, 1141, 1257, 24212, 8582, 1637, 3867, 172, 24212, 1119, 2886, 6472, 18584, 1918, 1190, 1257, 1321, 9458, 106, 9436, 1352, 8694, 1257, 3867, 172, 1198, 31997, 1637, 3867, 172, 2502, 8582, 1637, 2855, 1390, 1652, 106, 23888, 7162, 20181, 1257, 26829, 1178, 172, 1637, 1202, 1822, 16926, 106, 9436, 26590, 14472, 1257, 7311, 15324, 1352, 1569, 5224, 106, 1350, 1331, 1126, 4847, 27127, 1257, 3867, 172, 7494, 14541, 8415, 1248, 11772, 1257, 3867, 172, 18522, 1810, 7311, 15324, 1350, 2789, 6472, 20705, 21308, 3595, 1257, 3867, 172, 1518, 1273, 18038, 1637, 1306, 1822, 182, 7703, 106, 24187, 1252, 9202, 192, 1257, 3867, 172, 1202, 2562, 26201, 106, 5941, 1795, 1126, 1306, 1992, 1119, 1257, 7311, 15324, 1266, 1387, 5224, 106, 17486, 1752, 1303, 1202, 6026, 244, 186, 1257, 1306, 2194, 1333, 14541, 23888, 28047, 1262, 1257, 1518, 1172, 179, 7703, 4670, 1353, 7971, 106, 8220, 2466, 1233, 15960, 1128, 1845, 1257, 1548, 14831, 1266, 2886, 6472, 9436, 4173, 1897, 196, 1257, 2502, 192, 6472, 6780, 1222, 1157, 183, 1462, 1257, 1518, 1273, 1387, 172, 1266, 2886, 172, 13776, 1267, 1109, 7683, 24281, 1416, 6897, 5702, 1424, 18014, 2449, 10812, 488, 125, 123, 123, 127, 2232, 18014, 2449, 10812, 1125, 1158, 6742, 9891, 17557, 106, 488, 488, 125, 123, 123, 126, 2232, 4020, 27586, 10102, 29508, 106, 20851, 1863, 1140, 10812, 488, 125, 123, 123, 127, 2232, 30322, 21076, 28713, 1256, 1189, 17557, 4713, 7775, 1430, 1424, 488, 488, 125, 123, 123, 126, 2232, 30322, 17557, 1304, 7180, 11985, 30322, 25081, 106, 30322, 21076, 106, 4020, 31262, 7585, 17482, 9323, 1167, 20117, 2072, 1194, 11333, 5888, 176, 1424, 12253, 1304, 7180, 1430, 1548, 3166, 7364, 5825, 1424, 28912, 6417, 8403, 9665, 1186, 488, 125, 123, 123, 126, 15089, 1304, 15673, 8403, 15089, 13335, 12980, 8403, 15089, 26738, 8403, 15089, 1304, 15673, 9665, 6529, 1186, 6327, 15089, 1233, 1231, 1146, 1126, 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, 2859, 190, 5540, 1418, 1227, 16277, 12412, 19394, 1125, 7711, 1299, 18241, 1303, 1215, 23040, 2333, 13054, 121, 1548, 5878, 1125, 30773, 24254, 4593, 4153, 5551, 1198, 22936, 5523, 9372, 2145, 1136, 1167, 21835, 1594, 4593, 3555, 3694, 1125, 14045, 12412, 19394, 1388, 144, 1263, 2333, 13054, 1281, 5916, 1214, 1256, 1158, 11609, 1197, 14596, 27712, 1186, 4083, 1309, 14045, 12412, 14691, 9770, 25623, 4909, 119, 15953, 19495, 1125, 1158, 13778, 1281, 5916, 1214, 1256, 1158, 11609, 1197, 15953, 1244, 1392, 1125, 13778, 121, 1922, 15406, 1132, 1167, 3676, 1319, 2006, 17500, 1281, 5916, 1888, 1256, 1158, 11609, 1197, 11742, 1125, 1131, 1941, 8155, 4367, 1125, 9853, 122, 4740, 1603, 1162, 4933, 1186, 2320, 1257, 8466, 1849, 1167, 24329, 8554, 119, 2130, 15792, 1125, 3688, 3277, 1256, 1207, 2069, 8176, 1125, 3453, 10041, 1167, 1207, 2069, 7790, 1125, 6311, 10041, 121, 4511, 1158, 1622, 1125, 1158, 29692, 1548, 196, 2333, 30287, 1167, 25623, 5407, 1508, 1826, 1603, 17993, 1186, 6311, 10041, 121, 4651, 1508, 27372, 1256, 1158, 6586, 10549, 1215, 1753, 7226, 5407, 1167, 30256, 29576, 13054, 18726, 28598, 5725, 9400, 31276, 13607, 7887, 1125, 1198, 22936, 5523, 9372, 2145, 1136, 18900, 1256, 1158, 8483, 2768, 1170, 3694, 1125, 6005, 2222, 1836, 1227, 16277, 1469, 488, 126, 130, 3014, 1430, 12825, 14596, 1125, 5753, 1974, 488, 124, 132, 129, 125, 120, 124, 132, 129, 126, 1194, 2809, 14443, 2093, 488, 488, 2093, 199, 2409, 140, 1319, 10536, 2027, 12323, 23868, 1125, 1158, 6586, 1194, 11003, 18496, 2222, 1836, 22745, 6854, 488, 126, 130, 1663, 1285, 31276, 13607, 1342, 1346, 12379, 5725, 9400, 1357, 10809, 1188, 1198, 22936, 5523, 9372, 2145, 4819, 18900, 1594, 8483, 3694, 1125, 6005, 2222, 1836, 1227, 16277, 11488, 1167, 5474, 2093, 124, 132, 129, 125, 120, 124, 132, 129, 126, 4196, 1916, 11249, 1645, 19394, 17295, 488, 124, 132, 129, 125, 120, 124, 132, 129, 126, 1222, 124, 4196, 1916, 11249, 1645, 19394, 17295, 488, 124, 132, 129, 125, 120, 124, 132, 129, 126, 1222, 124, 1530, 4317, 1126, 1213, 1112, 1222, 124, 1530, 4317, 1126, 1213, 1112, 1222, 124, 32001, 1424, 32000, 20036, 2895, 2859, 190, 5540, 1418, 1227, 16277, 12412, 19394, 1125, 7711, 1299, 18241, 1303, 1215, 23040, 2333, 13054, 121, 1548, 5878, 1125, 30773, 24254, 4593, 4153, 5551, 1198, 22936, 5523, 9372, 2145, 1136, 1167, 21835, 1594, 4593, 3555, 3694, 1125, 14045, 12412, 19394, 1388, 144, 1263, 2333, 13054, 1281, 5916, 1214, 1256, 1158, 11609, 1197, 14596, 27712, 1186, 4083, 1309, 14045, 12412, 14691, 9770, 25623, 4909, 119, 15953, 19495, 1125, 1158, 13778, 1281, 5916, 1214, 1256, 1158, 11609, 1197, 15953, 1244, 1392, 1125, 13778, 121, 1922, 15406, 1132, 1167, 3676, 1319, 2006, 17500, 1281, 5916, 1888, 1256, 1158, 11609, 1197, 11742, 1125, 1131, 1941, 8155, 4367, 1125, 9853, 122, 4740, 1603, 1162, 4933, 1186, 2320, 1257, 8466, 1849, 1167, 24329, 8554, 119, 2130, 15792, 1125, 3688, 3277, 1256, 1207, 2069, 8176, 1125, 3453, 10041, 1167, 1207, 2069, 7790, 1125, 6311, 10041, 121, 4511, 1158, 1622, 1125, 1158, 29692, 1548, 196, 2333, 30287, 1167, 25623, 5407, 1508, 1826, 1603, 17993, 1186, 6311, 10041, 121, 4651, 1508, 27372, 1256, 1158, 6586, 10549, 1215, 1753, 7226, 5407, 1167, 30256, 29576, 13054, 18726, 28598, 5725, 9400, 31276, 13607, 7887, 1125, 1198, 22936, 5523, 9372, 2145, 1136, 18900, 1256, 1158, 8483, 2768, 1170, 3694, 1125, 6005, 2222, 1836, 1227, 16277, 1469, 488, 126, 130, 3014, 1430, 12825, 14596, 1125, 5753, 1974, 488, 124, 132, 129, 125, 120, 124, 132, 129, 126, 1194, 2809, 14443, 2093, 488, 488, 2093, 199, 2409, 140, 1319, 10536, 2027, 12323, 23868, 1125, 1158, 6586, 1194, 11003, 18496, 2222, 1836, 22745, 6854, 488, 126, 130, 1663, 1285, 31276, 13607, 1342, 1346, 12379, 5725, 9400, 1357, 10809, 1188, 1198, 22936, 5523, 9372, 2145, 4819, 18900, 1594, 8483, 3694, 1125, 6005, 2222, 1836, 1227, 16277, 11488, 1167, 5474, 2093, 124, 132, 129, 125, 120, 124, 132, 129, 126, 4196, 1916, 11249, 1645, 19394, 17295, 488, 124, 132, 129, 125, 120, 124, 132, 129, 126, 1222, 124, 4196, 1916, 11249, 1645, 19394, 17295, 488, 124, 132, 129, 125, 120, 124, 132, 129, 126, 1222, 124, 1530, 4317, 1126, 1213, 1112, 1222, 124, 1530, 4317, 1126, 1213, 1112, 1222, 124, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 2859, 190, 5540, 1418, 1227, 16277, 12412, 19394, 1125, 7711, 1299, 18241, 1303, 1215, 23040, 2333, 13054, 121, 1548, 5878, 1125, 30773, 24254, 4593, 4153, 5551, 1198, 22936, 5523, 9372, 2145, 1136, 1167, 21835, 1594, 4593, 3555, 3694, 1125, 14045, 12412, 19394, 1388, 144, 1263, 2333, 13054, 1281, 5916, 1214, 1256, 1158, 11609, 1197, 14596, 27712, 1186, 4083, 1309, 14045, 12412, 14691, 9770, 25623, 4909, 119, 15953, 19495, 1125, 1158, 13778, 1281, 5916, 1214, 1256, 1158, 11609, 1197, 15953, 1244, 1392, 1125, 13778, 121, 1922, 15406, 1132, 1167, 3676, 1319, 2006, 17500, 1281, 5916, 1888, 1256, 1158, 11609, 1197, 11742, 1125, 1131, 1941, 8155, 4367, 1125, 9853, 122, 4740, 1603, 1162, 4933, 1186, 2320, 1257, 8466, 1849, 1167, 24329, 8554, 119, 2130, 15792, 1125, 3688, 3277, 1256, 1207, 2069, 8176, 1125, 3453, 10041, 1167, 1207, 2069, 7790, 1125, 6311, 10041, 121, 4511, 1158, 1622, 1125, 1158, 29692, 1548, 196, 2333, 30287, 1167, 25623, 5407, 1508, 1826, 1603, 17993, 1186, 6311, 10041, 121, 4651, 1508, 27372, 1256, 1158, 6586, 10549, 1215, 1753, 7226, 5407, 1167, 30256, 29576, 13054, 18726, 28598, 5725, 9400, 31276, 13607, 7887, 1125, 1198, 22936, 5523, 9372, 2145, 1136, 18900, 1256, 1158, 8483, 2768, 1170, 3694, 1125, 6005, 2222, 1836, 1227, 16277, 1469, 488, 126, 130, 3014, 1430, 12825, 14596, 1125, 5753, 1974, 488, 124, 132, 129, 125, 120, 124, 132, 129, 126, 1194, 2809, 14443, 2093, 488, 488, 2093, 199, 2409, 140, 1319, 10536, 2027, 12323, 23868, 1125, 1158, 6586, 1194, 11003, 18496, 2222, 1836, 22745, 6854, 488, 126, 130, 1663, 1285, 31276, 13607, 1342, 1346, 12379, 5725, 9400, 1357, 10809, 1188, 1198, 22936, 5523, 9372, 2145, 4819, 18900, 1594, 8483, 3694, 1125, 6005, 2222, 1836, 1227, 16277, 11488, 1167, 5474, 2093, 124, 132, 129, 125, 120, 124, 132, 129, 126, 4196, 1916, 11249, 1645, 19394, 17295, 488, 124, 132, 129, 125, 120, 124, 132, 129, 126, 1222, 124, 4196, 1916, 11249, 1645, 19394, 17295, 488, 124, 132, 129, 125, 120, 124, 132, 129, 126, 1222, 124, 1530, 4317, 1126, 1213, 1112, 1222, 124, 1530, 4317, 1126, 1213, 1112, 1222, 124, 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, 31215, 1197, 11733, 1125, 27683, 1167, 1125, 1282, 17757, 1299, 14765, 1197, 488, 124, 130, 14735, 1234, 1125, 21455, 19231, 2726, 10019, 1188, 8579, 29227, 12616, 31215, 1197, 11733, 1125, 27683, 1167, 1125, 1282, 17757, 9016, 1318, 2609, 12057, 12052, 10070, 1125, 11869, 12732, 1167, 7762, 21761, 1257, 2605, 15051, 1711, 1150, 11280, 1369, 1167, 11733, 1125, 1158, 5710, 2071, 2708, 14430, 16499, 10850, 10187, 1346, 10850, 1197, 6600, 1285, 1167, 8431, 190, 1167, 1125, 27410, 1711, 1150, 11280, 1369, 7745, 1757, 18402, 1525, 1125, 3370, 1508, 4881, 1120, 1313, 1158, 31215, 1257, 1424, 2814, 13893, 1300, 1158, 23300, 1167, 1207, 20931, 26286, 1175, 1749, 7761, 1260, 1548, 6508, 1125, 3370, 1186, 17590, 119, 4764, 1167, 4509, 1597, 20073, 2857, 6744, 3835, 20815, 3306, 1260, 1548, 6508, 1125, 3370, 1167, 4473, 8506, 1300, 1207, 10891, 1541, 3835, 3472, 161, 1260, 1548, 6508, 1125, 3370, 1186, 11733, 1167, 11936, 1227, 14608, 4289, 2013, 16288, 1260, 1548, 6508, 1125, 3370, 1186, 23445, 1125, 1271, 11578, 21628, 1125, 6659, 178, 1150, 11280, 3693, 1197, 4897, 4536, 1167, 1125, 12052, 6206, 1214, 3835, 22791, 1718, 158, 1757, 6969, 1125, 3370, 1508, 14847, 1313, 1158, 31215, 2232, 1548, 3274, 1597, 28752, 10964, 1125, 3370, 1186, 1711, 1150, 2048, 1182, 4054, 7194, 3774, 7761, 1260, 1548, 3274, 1125, 3370, 1186, 2609, 4058, 1197, 3543, 173, 3123, 7194, 10700, 1260, 1548, 3274, 1125, 3370, 1186, 3260, 27114, 12401, 15945, 1183, 4042, 7194, 157, 17337, 8757, 1260, 1548, 3274, 1125, 3370, 13867, 4613, 2263, 1167, 13958, 1186, 21280, 1175, 5851, 3308, 2699, 1260, 1548, 3274, 1125, 3370, 21280, 119, 14197, 1167, 4764, 7194, 157, 2417, 143, 28072, 5736, 1283, 9570, 1167, 1125, 3370, 1281, 8866, 19561, 11129, 1317, 20958, 9556, 5612, 23678, 191, 5596, 1723, 2072, 1317, 20958, 9556, 1197, 7681, 1167, 1188, 1271, 1686, 6221, 1150, 1216, 3847, 3559, 5715, 15147, 1125, 488, 124, 125, 26285, 1124, 1346, 1227, 5719, 1362, 1182, 1227, 3577, 3794, 1167, 1158, 7051, 1711, 2548, 1137, 1460, 1125, 3281, 4379, 1839, 18906, 1188, 3281, 4379, 1839, 18906, 3840, 120, 4479, 1724, 8802, 2254, 27929, 1125, 488, 125, 131, 123, 26285, 1124, 1346, 1508, 2445, 7341, 1256, 26914, 1167, 1158, 3370, 121, 20437, 1227, 5719, 1362, 1182, 1227, 3577, 3794, 1238, 11083, 2072, 1170, 1748, 11618, 176, 1197, 1714, 1312, 1125, 8547, 5076, 1167, 1170, 25881, 24119, 19633, 6867, 1119, 5452, 1306, 3706, 20481, 1424, 18263, 224, 10070, 21790, 10363, 1125, 13894, 19932, 1245, 3840, 13944, 3486, 1237, 1384, 1450, 1110, 1913, 16512, 1186, 488, 124, 132, 124, 132, 1167, 2934, 14553, 1303, 1188, 21314, 1200, 10646, 1186, 488, 124, 132, 125, 125, 3143, 1125, 1805, 31625, 1170, 19860, 1125, 11733, 6530, 1172, 1457, 2814, 224, 10070, 1299, 22786, 1303, 1188, 1158, 31215, 1197, 11733, 1186, 488, 124, 132, 126, 130, 7041, 1186, 488, 124, 132, 127, 123, 119, 7354, 1158, 31215, 23461, 10363, 9994, 462, 224, 10070, 23461, 10363, 19858, 5778, 1299, 16233, 1186, 488, 124, 131, 132, 132, 1167, 1299, 14553, 1303, 1188, 21314, 1200, 10646, 1188, 17477, 1186, 488, 124, 132, 123, 127, 121, 3450, 5909, 3042, 1170, 3694, 1283, 13893, 17374, 19858, 5778, 1167, 1915, 13216, 4954, 1107, 1189, 19860, 24119, 121, 2576, 13893, 22479, 1731, 14609, 5778, 15147, 1909, 14250, 1186, 488, 124, 132, 129, 128, 1188, 1158, 3011, 1125, 1158, 5442, 1227, 12956, 1227, 8579, 1125, 15356, 9024, 26914, 1125, 12733, 2548, 1137, 1214, 1188, 21314, 19231, 3850, 1653, 488, 124, 132, 129, 128, 119, 1158, 31215, 23461, 10363, 119, 10019, 5176, 1132, 1500, 1188, 13894, 19932, 1245, 3840, 13944, 3486, 1237, 1384, 1450, 1299, 14663, 1303, 1188, 13894, 4338, 1487, 8370, 488, 124, 132, 126, 131, 119, 12052, 10070, 1197, 1113, 11889, 1429, 1299, 16233, 1167, 1299, 22786, 1303, 1188, 12052, 10070, 21790, 10363, 1125, 13894, 19932, 1245, 3840, 13944, 3486, 1237, 1384, 17966, 3450, 1299, 6349, 22786, 1303, 1188, 1158, 31215, 1197, 11733, 1186, 488, 124, 132, 126, 132, 1167, 1188, 1158, 31215, 23461, 10363, 1186, 488, 124, 132, 127, 132, 1256, 1823, 1522, 26530, 1186, 488, 124, 132, 129, 128, 4885, 1158, 31215, 23461, 10363, 3175, 16369, 1188, 13894, 4338, 1487, 8370, 488, 124, 132, 123, 128, 119, 12052, 10070, 12975, 1193, 1450, 1125, 30707, 1141, 3910, 3840, 12504, 8087, 25019, 1299, 3080, 3798, 1653, 488, 124, 132, 123, 132, 2399, 28933, 23398, 1188, 21314, 1200, 10646, 1167, 7354, 12052, 10070, 13052, 1197, 11733, 11792, 2635, 1186, 488, 124, 132, 127, 123, 121, 1653, 488, 124, 132, 127, 130, 119, 12052, 10070, 1281, 17480, 1188, 8579, 1167, 1186, 488, 124, 132, 129, 128, 119, 2399, 1299, 8363, 1303, 1188, 1158, 31215, 23461, 10363, 1256, 8753, 1170, 18920, 1125, 2172, 2201, 17285, 488, 488, 20546, 488, 124, 132, 130, 124, 119, 1158, 25163, 5909, 1170, 1874, 1125, 31215, 1197, 11733, 1125, 31154, 1167, 1125, 1271, 17757, 11488, 1167, 20117, 20544, 11052, 14564, 1815, 7541, 1125, 13894, 19932, 1245, 3840, 13944, 3486, 1237, 1384, 1450, 11377, 8234, 1125, 11936, 1711, 1150, 11280, 1369, 9528, 1162, 1711, 2548, 1137, 1460, 1125, 3281, 4379, 1839, 18906, 2278, 5611, 24119, 19633, 6867, 1119, 5452, 1306, 3706, 7364, 5825, 2093, 11365, 1200, 10646, 18484, 10363, 1317, 8579, 1530, 1333, 12290, 1317, 8579, 3147, 26407, 17374, 1317, 6372, 13779, 4453, 1362, 20636, 15923, 1188, 1282, 17757, 114, 32001, 1424, 32000, 20036, 2895, 31215, 1197, 11733, 1125, 27683, 1167, 1125, 1282, 17757, 1299, 14765, 1197, 488, 124, 130, 14735, 1234, 1125, 21455, 19231, 2726, 10019, 1188, 8579, 29227, 12616, 31215, 1197, 11733, 1125, 27683, 1167, 1125, 1282, 17757, 9016, 1318, 2609, 12057, 12052, 10070, 1125, 11869, 12732, 1167, 7762, 21761, 1257, 2605, 15051, 1711, 1150, 11280, 1369, 1167, 11733, 1125, 1158, 5710, 2071, 2708, 14430, 16499, 10850, 10187, 1346, 10850, 1197, 6600, 1285, 1167, 8431, 190, 1167, 1125, 27410, 1711, 1150, 11280, 1369, 7745, 1757, 18402, 1525, 1125, 3370, 1508, 4881, 1120, 1313, 1158, 31215, 1257, 1424, 2814, 13893, 1300, 1158, 23300, 1167, 1207, 20931, 26286, 1175, 1749, 7761, 1260, 1548, 6508, 1125, 3370, 1186, 17590, 119, 4764, 1167, 4509, 1597, 20073, 2857, 6744, 3835, 20815, 3306, 1260, 1548, 6508, 1125, 3370, 1167, 4473, 8506, 1300, 1207, 10891, 1541, 3835, 3472, 161, 1260, 1548, 6508, 1125, 3370, 1186, 11733, 1167, 11936, 1227, 14608, 4289, 2013, 16288, 1260, 1548, 6508, 1125, 3370, 1186, 23445, 1125, 1271, 11578, 21628, 1125, 6659, 178, 1150, 11280, 3693, 1197, 4897, 4536, 1167, 1125, 12052, 6206, 1214, 3835, 22791, 1718, 158, 1757, 6969, 1125, 3370, 1508, 14847, 1313, 1158, 31215, 2232, 1548, 3274, 1597, 28752, 10964, 1125, 3370, 1186, 1711, 1150, 2048, 1182, 4054, 7194, 3774, 7761, 1260, 1548, 3274, 1125, 3370, 1186, 2609, 4058, 1197, 3543, 173, 3123, 7194, 10700, 1260, 1548, 3274, 1125, 3370, 1186, 3260, 27114, 12401, 15945, 1183, 4042, 7194, 157, 17337, 8757, 1260, 1548, 3274, 1125, 3370, 13867, 4613, 2263, 1167, 13958, 1186, 21280, 1175, 5851, 3308, 2699, 1260, 1548, 3274, 1125, 3370, 21280, 119, 14197, 1167, 4764, 7194, 157, 2417, 143, 28072, 5736, 1283, 9570, 1167, 1125, 3370, 1281, 8866, 19561, 11129, 1317, 20958, 9556, 5612, 23678, 191, 5596, 1723, 2072, 1317, 20958, 9556, 1197, 7681, 1167, 1188, 1271, 1686, 6221, 1150, 1216, 3847, 3559, 5715, 15147, 1125, 488, 124, 125, 26285, 1124, 1346, 1227, 5719, 1362, 1182, 1227, 3577, 3794, 1167, 1158, 7051, 1711, 2548, 1137, 1460, 1125, 3281, 4379, 1839, 18906, 1188, 3281, 4379, 1839, 18906, 3840, 120, 4479, 1724, 8802, 2254, 27929, 1125, 488, 125, 131, 123, 26285, 1124, 1346, 1508, 2445, 7341, 1256, 26914, 1167, 1158, 3370, 121, 20437, 1227, 5719, 1362, 1182, 1227, 3577, 3794, 1238, 11083, 2072, 1170, 1748, 11618, 176, 1197, 1714, 1312, 1125, 8547, 5076, 1167, 1170, 25881, 24119, 19633, 6867, 1119, 5452, 1306, 3706, 20481, 1424, 18263, 224, 10070, 21790, 10363, 1125, 13894, 19932, 1245, 3840, 13944, 3486, 1237, 1384, 1450, 1110, 1913, 16512, 1186, 488, 124, 132, 124, 132, 1167, 2934, 14553, 1303, 1188, 21314, 1200, 10646, 1186, 488, 124, 132, 125, 125, 3143, 1125, 1805, 31625, 1170, 19860, 1125, 11733, 6530, 1172, 1457, 2814, 224, 10070, 1299, 22786, 1303, 1188, 1158, 31215, 1197, 11733, 1186, 488, 124, 132, 126, 130, 7041, 1186, 488, 124, 132, 127, 123, 119, 7354, 1158, 31215, 23461, 10363, 9994, 462, 224, 10070, 23461, 10363, 19858, 5778, 1299, 16233, 1186, 488, 124, 131, 132, 132, 1167, 1299, 14553, 1303, 1188, 21314, 1200, 10646, 1188, 17477, 1186, 488, 124, 132, 123, 127, 121, 3450, 5909, 3042, 1170, 3694, 1283, 13893, 17374, 19858, 5778, 1167, 1915, 13216, 4954, 1107, 1189, 19860, 24119, 121, 2576, 13893, 22479, 1731, 14609, 5778, 15147, 1909, 14250, 1186, 488, 124, 132, 129, 128, 1188, 1158, 3011, 1125, 1158, 5442, 1227, 12956, 1227, 8579, 1125, 15356, 9024, 26914, 1125, 12733, 2548, 1137, 1214, 1188, 21314, 19231, 3850, 1653, 488, 124, 132, 129, 128, 119, 1158, 31215, 23461, 10363, 119, 10019, 5176, 1132, 1500, 1188, 13894, 19932, 1245, 3840, 13944, 3486, 1237, 1384, 1450, 1299, 14663, 1303, 1188, 13894, 4338, 1487, 8370, 488, 124, 132, 126, 131, 119, 12052, 10070, 1197, 1113, 11889, 1429, 1299, 16233, 1167, 1299, 22786, 1303, 1188, 12052, 10070, 21790, 10363, 1125, 13894, 19932, 1245, 3840, 13944, 3486, 1237, 1384, 17966, 3450, 1299, 6349, 22786, 1303, 1188, 1158, 31215, 1197, 11733, 1186, 488, 124, 132, 126, 132, 1167, 1188, 1158, 31215, 23461, 10363, 1186, 488, 124, 132, 127, 132, 1256, 1823, 1522, 26530, 1186, 488, 124, 132, 129, 128, 4885, 1158, 31215, 23461, 10363, 3175, 16369, 1188, 13894, 4338, 1487, 8370, 488, 124, 132, 123, 128, 119, 12052, 10070, 12975, 1193, 1450, 1125, 30707, 1141, 3910, 3840, 12504, 8087, 25019, 1299, 3080, 3798, 1653, 488, 124, 132, 123, 132, 2399, 28933, 23398, 1188, 21314, 1200, 10646, 1167, 7354, 12052, 10070, 13052, 1197, 11733, 11792, 2635, 1186, 488, 124, 132, 127, 123, 121, 1653, 488, 124, 132, 127, 130, 119, 12052, 10070, 1281, 17480, 1188, 8579, 1167, 1186, 488, 124, 132, 129, 128, 119, 2399, 1299, 8363, 1303, 1188, 1158, 31215, 23461, 10363, 1256, 8753, 1170, 18920, 1125, 2172, 2201, 17285, 488, 488, 20546, 488, 124, 132, 130, 124, 119, 1158, 25163, 5909, 1170, 1874, 1125, 31215, 1197, 11733, 1125, 31154, 1167, 1125, 1271, 17757, 11488, 1167, 20117, 20544, 11052, 14564, 1815, 7541, 1125, 13894, 19932, 1245, 3840, 13944, 3486, 1237, 1384, 1450, 11377, 8234, 1125, 11936, 1711, 1150, 11280, 1369, 9528, 1162, 1711, 2548, 1137, 1460, 1125, 3281, 4379, 1839, 18906, 2278, 5611, 24119, 19633, 6867, 1119, 5452, 1306, 3706, 7364, 5825, 2093, 11365, 1200, 10646, 18484, 10363, 1317, 8579, 1530, 1333, 12290, 1317, 8579, 3147, 26407, 17374, 1317, 6372, 13779, 4453, 1362, 20636, 15923, 1188, 1282, 17757, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 31215, 1197, 11733, 1125, 27683, 1167, 1125, 1282, 17757, 1299, 14765, 1197, 488, 124, 130, 14735, 1234, 1125, 21455, 19231, 2726, 10019, 1188, 8579, 29227, 12616, 31215, 1197, 11733, 1125, 27683, 1167, 1125, 1282, 17757, 9016, 1318, 2609, 12057, 12052, 10070, 1125, 11869, 12732, 1167, 7762, 21761, 1257, 2605, 15051, 1711, 1150, 11280, 1369, 1167, 11733, 1125, 1158, 5710, 2071, 2708, 14430, 16499, 10850, 10187, 1346, 10850, 1197, 6600, 1285, 1167, 8431, 190, 1167, 1125, 27410, 1711, 1150, 11280, 1369, 7745, 1757, 18402, 1525, 1125, 3370, 1508, 4881, 1120, 1313, 1158, 31215, 1257, 1424, 2814, 13893, 1300, 1158, 23300, 1167, 1207, 20931, 26286, 1175, 1749, 7761, 1260, 1548, 6508, 1125, 3370, 1186, 17590, 119, 4764, 1167, 4509, 1597, 20073, 2857, 6744, 3835, 20815, 3306, 1260, 1548, 6508, 1125, 3370, 1167, 4473, 8506, 1300, 1207, 10891, 1541, 3835, 3472, 161, 1260, 1548, 6508, 1125, 3370, 1186, 11733, 1167, 11936, 1227, 14608, 4289, 2013, 16288, 1260, 1548, 6508, 1125, 3370, 1186, 23445, 1125, 1271, 11578, 21628, 1125, 6659, 178, 1150, 11280, 3693, 1197, 4897, 4536, 1167, 1125, 12052, 6206, 1214, 3835, 22791, 1718, 158, 1757, 6969, 1125, 3370, 1508, 14847, 1313, 1158, 31215, 2232, 1548, 3274, 1597, 28752, 10964, 1125, 3370, 1186, 1711, 1150, 2048, 1182, 4054, 7194, 3774, 7761, 1260, 1548, 3274, 1125, 3370, 1186, 2609, 4058, 1197, 3543, 173, 3123, 7194, 10700, 1260, 1548, 3274, 1125, 3370, 1186, 3260, 27114, 12401, 15945, 1183, 4042, 7194, 157, 17337, 8757, 1260, 1548, 3274, 1125, 3370, 13867, 4613, 2263, 1167, 13958, 1186, 21280, 1175, 5851, 3308, 2699, 1260, 1548, 3274, 1125, 3370, 21280, 119, 14197, 1167, 4764, 7194, 157, 2417, 143, 28072, 5736, 1283, 9570, 1167, 1125, 3370, 1281, 8866, 19561, 11129, 1317, 20958, 9556, 5612, 23678, 191, 5596, 1723, 2072, 1317, 20958, 9556, 1197, 7681, 1167, 1188, 1271, 1686, 6221, 1150, 1216, 3847, 3559, 5715, 15147, 1125, 488, 124, 125, 26285, 1124, 1346, 1227, 5719, 1362, 1182, 1227, 3577, 3794, 1167, 1158, 7051, 1711, 2548, 1137, 1460, 1125, 3281, 4379, 1839, 18906, 1188, 3281, 4379, 1839, 18906, 3840, 120, 4479, 1724, 8802, 2254, 27929, 1125, 488, 125, 131, 123, 26285, 1124, 1346, 1508, 2445, 7341, 1256, 26914, 1167, 1158, 3370, 121, 20437, 1227, 5719, 1362, 1182, 1227, 3577, 3794, 1238, 11083, 2072, 1170, 1748, 11618, 176, 1197, 1714, 1312, 1125, 8547, 5076, 1167, 1170, 25881, 24119, 19633, 6867, 1119, 5452, 1306, 3706, 20481, 1424, 18263, 224, 10070, 21790, 10363, 1125, 13894, 19932, 1245, 3840, 13944, 3486, 1237, 1384, 1450, 1110, 1913, 16512, 1186, 488, 124, 132, 124, 132, 1167, 2934, 14553, 1303, 1188, 21314, 1200, 10646, 1186, 488, 124, 132, 125, 125, 3143, 1125, 1805, 31625, 1170, 19860, 1125, 11733, 6530, 1172, 1457, 2814, 224, 10070, 1299, 22786, 1303, 1188, 1158, 31215, 1197, 11733, 1186, 488, 124, 132, 126, 130, 7041, 1186, 488, 124, 132, 127, 123, 119, 7354, 1158, 31215, 23461, 10363, 9994, 462, 224, 10070, 23461, 10363, 19858, 5778, 1299, 16233, 1186, 488, 124, 131, 132, 132, 1167, 1299, 14553, 1303, 1188, 21314, 1200, 10646, 1188, 17477, 1186, 488, 124, 132, 123, 127, 121, 3450, 5909, 3042, 1170, 3694, 1283, 13893, 17374, 19858, 5778, 1167, 1915, 13216, 4954, 1107, 1189, 19860, 24119, 121, 2576, 13893, 22479, 1731, 14609, 5778, 15147, 1909, 14250, 1186, 488, 124, 132, 129, 128, 1188, 1158, 3011, 1125, 1158, 5442, 1227, 12956, 1227, 8579, 1125, 15356, 9024, 26914, 1125, 12733, 2548, 1137, 1214, 1188, 21314, 19231, 3850, 1653, 488, 124, 132, 129, 128, 119, 1158, 31215, 23461, 10363, 119, 10019, 5176, 1132, 1500, 1188, 13894, 19932, 1245, 3840, 13944, 3486, 1237, 1384, 1450, 1299, 14663, 1303, 1188, 13894, 4338, 1487, 8370, 488, 124, 132, 126, 131, 119, 12052, 10070, 1197, 1113, 11889, 1429, 1299, 16233, 1167, 1299, 22786, 1303, 1188, 12052, 10070, 21790, 10363, 1125, 13894, 19932, 1245, 3840, 13944, 3486, 1237, 1384, 17966, 3450, 1299, 6349, 22786, 1303, 1188, 1158, 31215, 1197, 11733, 1186, 488, 124, 132, 126, 132, 1167, 1188, 1158, 31215, 23461, 10363, 1186, 488, 124, 132, 127, 132, 1256, 1823, 1522, 26530, 1186, 488, 124, 132, 129, 128, 4885, 1158, 31215, 23461, 10363, 3175, 16369, 1188, 13894, 4338, 1487, 8370, 488, 124, 132, 123, 128, 119, 12052, 10070, 12975, 1193, 1450, 1125, 30707, 1141, 3910, 3840, 12504, 8087, 25019, 1299, 3080, 3798, 1653, 488, 124, 132, 123, 132, 2399, 28933, 23398, 1188, 21314, 1200, 10646, 1167, 7354, 12052, 10070, 13052, 1197, 11733, 11792, 2635, 1186, 488, 124, 132, 127, 123, 121, 1653, 488, 124, 132, 127, 130, 119, 12052, 10070, 1281, 17480, 1188, 8579, 1167, 1186, 488, 124, 132, 129, 128, 119, 2399, 1299, 8363, 1303, 1188, 1158, 31215, 23461, 10363, 1256, 8753, 1170, 18920, 1125, 2172, 2201, 17285, 488, 488, 20546, 488, 124, 132, 130, 124, 119, 1158, 25163, 5909, 1170, 1874, 1125, 31215, 1197, 11733, 1125, 31154, 1167, 1125, 1271, 17757, 11488, 1167, 20117, 20544, 11052, 14564, 1815, 7541, 1125, 13894, 19932, 1245, 3840, 13944, 3486, 1237, 1384, 1450, 11377, 8234, 1125, 11936, 1711, 1150, 11280, 1369, 9528, 1162, 1711, 2548, 1137, 1460, 1125, 3281, 4379, 1839, 18906, 2278, 5611, 24119, 19633, 6867, 1119, 5452, 1306, 3706, 7364, 5825, 2093, 11365, 1200, 10646, 18484, 10363, 1317, 8579, 1530, 1333, 12290, 1317, 8579, 3147, 26407, 17374, 1317, 6372, 13779, 4453, 1362, 20636, 15923, 1188, 1282, 17757, 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, 4298, 1113, 8023, 7216, 16877, 7271, 119, 488, 316, 312, 320, 309, 2040, 1186, 4123, 2982, 1113, 8023, 1496, 1362, 15848, 1148, 29610, 23521, 5916, 5472, 1186, 2720, 1282, 1121, 2500, 11941, 7623, 1362, 11401, 3193, 1186, 4438, 1125, 1113, 8023, 116, 1299, 1189, 4170, 3358, 174, 4618, 24328, 1186, 4438, 1125, 25501, 15467, 3693, 1469, 1318, 1362, 2069, 6143, 1452, 189, 1842, 11028, 2308, 1187, 2652, 1690, 10803, 1113, 6932, 1810, 1400, 1232, 8286, 1366, 12498, 176, 3358, 174, 4618, 3031, 1844, 2335, 5582, 4824, 1304, 1180, 1374, 1685, 1958, 191, 1125, 17766, 3391, 21194, 1768, 3031, 1127, 21494, 2519, 2958, 15604, 1167, 1125, 2107, 1150, 1429, 1357, 3611, 2457, 1125, 1170, 10243, 1300, 1170, 9823, 8273, 176, 7433, 1125, 3358, 174, 4618, 3031, 5865, 1571, 25388, 25909, 23480, 7706, 1309, 1207, 2941, 3771, 1346, 2442, 29384, 1545, 2451, 1346, 1215, 1357, 1207, 1293, 3376, 190, 1170, 2034, 18741, 1388, 2834, 1265, 1207, 1545, 1154, 1887, 22105, 7085, 1313, 1207, 25630, 17655, 1538, 6087, 14867, 1856, 18673, 1108, 5291, 2648, 1408, 7959, 1856, 21863, 6243, 20671, 3342, 5416, 7085, 1964, 1400, 1232, 5277, 1167, 7810, 18741, 1188, 4262, 1304, 1378, 1170, 1874, 1125, 1113, 6932, 1573, 1346, 7798, 6349, 1188, 1197, 21863, 1357, 5052, 2457, 1170, 8007, 1835, 1207, 24028, 15415, 3280, 1167, 20319, 6133, 1234, 10803, 1113, 6932, 1810, 1400, 1232, 1197, 31408, 3807, 2359, 3358, 174, 4618, 1110, 1913, 31716, 1571, 31408, 3807, 1215, 1207, 2958, 12202, 19883, 1207, 4689, 2457, 488, 308, 312, 320, 304, 319, 315, 310, 119, 488, 308, 312, 320, 304, 303, 308, 318, 1576, 1653, 6500, 1440, 3358, 174, 4618, 1299, 1906, 14317, 1188, 1158, 24127, 4058, 30284, 1215, 1561, 5715, 7027, 1167, 1561, 20869, 1389, 1167, 1561, 4438, 1299, 23778, 1256, 20324, 1188, 14018, 1734, 1527, 1915, 1823, 10499, 244, 1300, 1170, 9823, 1186, 10452, 1199, 1158, 3828, 6143, 1452, 189, 1278, 2079, 1158, 2107, 173, 1278, 1227, 9823, 1227, 14018, 121, 2502, 15187, 2442, 1170, 6628, 1256, 1158, 13991, 4096, 9033, 24728, 11980, 1215, 1207, 13281, 5904, 1525, 1125, 1594, 3358, 174, 4618, 1469, 1170, 9823, 1125, 1561, 2383, 3988, 5350, 1317, 3285, 1197, 14146, 28011, 1388, 2834, 1343, 1153, 1125, 1173, 3818, 189, 1245, 5714, 1816, 5456, 1227, 3358, 174, 4618, 1125, 29924, 5952, 1142, 1303, 1257, 1606, 3450, 1268, 1123, 1594, 3358, 174, 4618, 3754, 2982, 10993, 1364, 1317, 25501, 1125, 1158, 1115, 1515, 13625, 1378, 2368, 14186, 19227, 1125, 14097, 174, 11547, 14171, 119, 7639, 4658, 1188, 13624, 1594, 17908, 1167, 2107, 173, 1199, 1909, 2151, 1104, 1257, 7200, 3031, 1440, 3564, 3358, 174, 1333, 1657, 1524, 1194, 3562, 1113, 8023, 1313, 1207, 1805, 1500, 1151, 2635, 1194, 216, 21396, 1177, 7656, 1965, 1207, 3358, 174, 24200, 5519, 1724, 197, 3807, 29707, 1318, 2205, 3828, 13325, 1167, 5669, 1129, 1188, 1805, 4420, 1207, 18334, 5363, 1485, 1167, 1207, 12594, 8330, 16095, 3190, 1113, 8023, 176, 20767, 2089, 4701, 1207, 5797, 1118, 2942, 9142, 1318, 15224, 1300, 1207, 19574, 1362, 1207, 1114, 4691, 3157, 7231, 6427, 1293, 1342, 1378, 1110, 19560, 21497, 1158, 1113, 8023, 1856, 1189, 27308, 12545, 1210, 3725, 15000, 5725, 1158, 4426, 11104, 1835, 1606, 1158, 4438, 1125, 1158, 1113, 8023, 1167, 1158, 19369, 1125, 1115, 3915, 4821, 12427, 31250, 8179, 3486, 1146, 4748, 1158, 1113, 8023, 1188, 21396, 29304, 1366, 8113, 1439, 1158, 4337, 191, 6637, 2616, 13419, 2399, 11358, 2069, 5219, 1285, 14765, 25130, 1460, 1257, 1606, 3557, 10905, 1232, 1197, 30287, 1541, 3133, 14974, 8113, 3725, 1207, 31408, 3807, 6058, 15695, 1813, 1606, 1207, 17539, 4042, 1125, 1158, 15750, 13991, 4096, 119, 1158, 4337, 191, 3794, 1357, 4407, 1370, 1158, 11419, 1197, 20006, 9091, 2137, 29731, 1215, 1158, 5430, 4058, 17655, 1538, 12530, 4821, 29619, 28126, 1158, 1408, 30594, 12365, 1439, 2125, 17321, 1188, 1158, 1113, 8023, 1318, 5219, 6900, 1190, 2248, 5363, 1244, 10993, 1364, 1188, 4421, 1227, 1185, 2601, 1438, 1231, 10803, 1113, 8023, 1125, 2425, 3617, 2895, 8113, 1460, 1125, 1158, 1113, 8023, 4216, 9033, 13409, 1125, 2425, 13872, 2290, 1170, 1874, 1125, 1606, 15848, 1148, 3133, 1186, 6564, 1215, 1158, 7732, 19832, 3747, 1300, 1207, 4212, 1715, 1297, 2502, 1158, 11083, 2072, 1300, 22058, 2014, 2247, 1125, 1158, 26892, 1125, 1158, 7732, 19832, 2290, 1207, 6912, 1889, 1125, 13742, 31063, 5945, 1762, 1125, 9228, 18454, 2163, 1167, 6348, 184, 14453, 20037, 11488, 1167, 5474, 12323, 12874, 4618, 5526, 15565, 1160, 11894, 1125, 1158, 25552, 1151, 1960, 1530, 1724, 13999, 1628, 196, 1377, 1731, 1125, 1158, 7732, 5964, 1194, 1108, 133, 4506, 2006, 110, 8151, 179, 7055, 32001, 1424, 32000, 20036, 7488, 1113, 8023, 7216, 16877, 7271, 119, 488, 316, 312, 320, 309, 2040, 1186, 4123, 2982, 1113, 8023, 1496, 1362, 15848, 1148, 29610, 23521, 5916, 5472, 1186, 2720, 1282, 1121, 2500, 11941, 7623, 1362, 11401, 3193, 1186, 4438, 1125, 1113, 8023, 116, 1299, 1189, 4170, 3358, 174, 4618, 24328, 1186, 4438, 1125, 25501, 15467, 3693, 1469, 1318, 1362, 2069, 6143, 1452, 189, 1842, 11028, 2308, 1187, 2652, 1690, 10803, 1113, 6932, 1810, 1400, 1232, 8286, 1366, 12498, 176, 3358, 174, 4618, 3031, 1844, 2335, 5582, 4824, 1304, 1180, 1374, 1685, 1958, 191, 1125, 17766, 3391, 21194, 1768, 3031, 1127, 21494, 2519, 2958, 15604, 1167, 1125, 2107, 1150, 1429, 1357, 3611, 2457, 1125, 1170, 10243, 1300, 1170, 9823, 8273, 176, 7433, 1125, 3358, 174, 4618, 3031, 5865, 1571, 25388, 25909, 23480, 7706, 1309, 1207, 2941, 3771, 1346, 2442, 29384, 1545, 2451, 1346, 1215, 1357, 1207, 1293, 3376, 190, 1170, 2034, 18741, 1388, 2834, 1265, 1207, 1545, 1154, 1887, 22105, 7085, 1313, 1207, 25630, 17655, 1538, 6087, 14867, 1856, 18673, 1108, 5291, 2648, 1408, 7959, 1856, 21863, 6243, 20671, 3342, 5416, 7085, 1964, 1400, 1232, 5277, 1167, 7810, 18741, 1188, 4262, 1304, 1378, 1170, 1874, 1125, 1113, 6932, 1573, 1346, 7798, 6349, 1188, 1197, 21863, 1357, 5052, 2457, 1170, 8007, 1835, 1207, 24028, 15415, 3280, 1167, 20319, 6133, 1234, 10803, 1113, 6932, 1810, 1400, 1232, 1197, 31408, 3807, 2359, 3358, 174, 4618, 1110, 1913, 31716, 1571, 31408, 3807, 1215, 1207, 2958, 12202, 19883, 1207, 4689, 2457, 488, 308, 312, 320, 304, 319, 315, 310, 119, 488, 308, 312, 320, 304, 303, 308, 318, 1576, 1653, 6500, 1440, 3358, 174, 4618, 1299, 1906, 14317, 1188, 1158, 24127, 4058, 30284, 1215, 1561, 5715, 7027, 1167, 1561, 20869, 1389, 1167, 1561, 4438, 1299, 23778, 1256, 20324, 1188, 14018, 1734, 1527, 1915, 1823, 10499, 244, 1300, 1170, 9823, 1186, 10452, 1199, 1158, 3828, 6143, 1452, 189, 1278, 2079, 1158, 2107, 173, 1278, 1227, 9823, 1227, 14018, 121, 2502, 15187, 2442, 1170, 6628, 1256, 1158, 13991, 4096, 9033, 24728, 11980, 1215, 1207, 13281, 5904, 1525, 1125, 1594, 3358, 174, 4618, 1469, 1170, 9823, 1125, 1561, 2383, 3988, 5350, 1317, 3285, 1197, 14146, 28011, 1388, 2834, 1343, 1153, 1125, 1173, 3818, 189, 1245, 5714, 1816, 5456, 1227, 3358, 174, 4618, 1125, 29924, 5952, 1142, 1303, 1257, 1606, 3450, 1268, 1123, 1594, 3358, 174, 4618, 3754, 2982, 10993, 1364, 1317, 25501, 1125, 1158, 1115, 1515, 13625, 1378, 2368, 14186, 19227, 1125, 14097, 174, 11547, 14171, 119, 7639, 4658, 1188, 13624, 1594, 17908, 1167, 2107, 173, 1199, 1909, 2151, 1104, 1257, 7200, 3031, 1440, 3564, 3358, 174, 1333, 1657, 1524, 1194, 3562, 1113, 8023, 1313, 1207, 1805, 1500, 1151, 2635, 1194, 216, 21396, 1177, 7656, 1965, 1207, 3358, 174, 24200, 5519, 1724, 197, 3807, 29707, 1318, 2205, 3828, 13325, 1167, 5669, 1129, 1188, 1805, 4420, 1207, 18334, 5363, 1485, 1167, 1207, 12594, 8330, 16095, 3190, 1113, 8023, 176, 20767, 2089, 4701, 1207, 5797, 1118, 2942, 9142, 1318, 15224, 1300, 1207, 19574, 1362, 1207, 1114, 4691, 3157, 7231, 6427, 1293, 1342, 1378, 1110, 19560, 21497, 1158, 1113, 8023, 1856, 1189, 27308, 12545, 1210, 3725, 15000, 5725, 1158, 4426, 11104, 1835, 1606, 1158, 4438, 1125, 1158, 1113, 8023, 1167, 1158, 19369, 1125, 1115, 3915, 4821, 12427, 31250, 8179, 3486, 1146, 4748, 1158, 1113, 8023, 1188, 21396, 29304, 1366, 8113, 1439, 1158, 4337, 191, 6637, 2616, 13419, 2399, 11358, 2069, 5219, 1285, 14765, 25130, 1460, 1257, 1606, 3557, 10905, 1232, 1197, 30287, 1541, 3133, 14974, 8113, 3725, 1207, 31408, 3807, 6058, 15695, 1813, 1606, 1207, 17539, 4042, 1125, 1158, 15750, 13991, 4096, 119, 1158, 4337, 191, 3794, 1357, 4407, 1370, 1158, 11419, 1197, 20006, 9091, 2137, 29731, 1215, 1158, 5430, 4058, 17655, 1538, 12530, 4821, 29619, 28126, 1158, 1408, 30594, 12365, 1439, 2125, 17321, 1188, 1158, 1113, 8023, 1318, 5219, 6900, 1190, 2248, 5363, 1244, 10993, 1364, 1188, 4421, 1227, 1185, 2601, 1438, 1231, 10803, 1113, 8023, 1125, 2425, 3617, 2895, 8113, 1460, 1125, 1158, 1113, 8023, 4216, 9033, 13409, 1125, 2425, 13872, 2290, 1170, 1874, 1125, 1606, 15848, 1148, 3133, 1186, 6564, 1215, 1158, 7732, 19832, 3747, 1300, 1207, 4212, 1715, 1297, 2502, 1158, 11083, 2072, 1300, 22058, 2014, 2247, 1125, 1158, 26892, 1125, 1158, 7732, 19832, 2290, 1207, 6912, 1889, 1125, 13742, 31063, 5945, 1762, 1125, 9228, 18454, 2163, 1167, 6348, 184, 14453, 20037, 11488, 1167, 5474, 12323, 12874, 4618, 5526, 15565, 1160, 11894, 1125, 1158, 25552, 1151, 1960, 1530, 1724, 13999, 1628, 196, 1377, 1731, 1125, 1158, 7732, 5964, 1194, 1108, 133, 4506, 2006, 110, 8151, 179, 7055, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 7488, 1113, 8023, 7216, 16877, 7271, 119, 488, 316, 312, 320, 309, 2040, 1186, 4123, 2982, 1113, 8023, 1496, 1362, 15848, 1148, 29610, 23521, 5916, 5472, 1186, 2720, 1282, 1121, 2500, 11941, 7623, 1362, 11401, 3193, 1186, 4438, 1125, 1113, 8023, 116, 1299, 1189, 4170, 3358, 174, 4618, 24328, 1186, 4438, 1125, 25501, 15467, 3693, 1469, 1318, 1362, 2069, 6143, 1452, 189, 1842, 11028, 2308, 1187, 2652, 1690, 10803, 1113, 6932, 1810, 1400, 1232, 8286, 1366, 12498, 176, 3358, 174, 4618, 3031, 1844, 2335, 5582, 4824, 1304, 1180, 1374, 1685, 1958, 191, 1125, 17766, 3391, 21194, 1768, 3031, 1127, 21494, 2519, 2958, 15604, 1167, 1125, 2107, 1150, 1429, 1357, 3611, 2457, 1125, 1170, 10243, 1300, 1170, 9823, 8273, 176, 7433, 1125, 3358, 174, 4618, 3031, 5865, 1571, 25388, 25909, 23480, 7706, 1309, 1207, 2941, 3771, 1346, 2442, 29384, 1545, 2451, 1346, 1215, 1357, 1207, 1293, 3376, 190, 1170, 2034, 18741, 1388, 2834, 1265, 1207, 1545, 1154, 1887, 22105, 7085, 1313, 1207, 25630, 17655, 1538, 6087, 14867, 1856, 18673, 1108, 5291, 2648, 1408, 7959, 1856, 21863, 6243, 20671, 3342, 5416, 7085, 1964, 1400, 1232, 5277, 1167, 7810, 18741, 1188, 4262, 1304, 1378, 1170, 1874, 1125, 1113, 6932, 1573, 1346, 7798, 6349, 1188, 1197, 21863, 1357, 5052, 2457, 1170, 8007, 1835, 1207, 24028, 15415, 3280, 1167, 20319, 6133, 1234, 10803, 1113, 6932, 1810, 1400, 1232, 1197, 31408, 3807, 2359, 3358, 174, 4618, 1110, 1913, 31716, 1571, 31408, 3807, 1215, 1207, 2958, 12202, 19883, 1207, 4689, 2457, 488, 308, 312, 320, 304, 319, 315, 310, 119, 488, 308, 312, 320, 304, 303, 308, 318, 1576, 1653, 6500, 1440, 3358, 174, 4618, 1299, 1906, 14317, 1188, 1158, 24127, 4058, 30284, 1215, 1561, 5715, 7027, 1167, 1561, 20869, 1389, 1167, 1561, 4438, 1299, 23778, 1256, 20324, 1188, 14018, 1734, 1527, 1915, 1823, 10499, 244, 1300, 1170, 9823, 1186, 10452, 1199, 1158, 3828, 6143, 1452, 189, 1278, 2079, 1158, 2107, 173, 1278, 1227, 9823, 1227, 14018, 121, 2502, 15187, 2442, 1170, 6628, 1256, 1158, 13991, 4096, 9033, 24728, 11980, 1215, 1207, 13281, 5904, 1525, 1125, 1594, 3358, 174, 4618, 1469, 1170, 9823, 1125, 1561, 2383, 3988, 5350, 1317, 3285, 1197, 14146, 28011, 1388, 2834, 1343, 1153, 1125, 1173, 3818, 189, 1245, 5714, 1816, 5456, 1227, 3358, 174, 4618, 1125, 29924, 5952, 1142, 1303, 1257, 1606, 3450, 1268, 1123, 1594, 3358, 174, 4618, 3754, 2982, 10993, 1364, 1317, 25501, 1125, 1158, 1115, 1515, 13625, 1378, 2368, 14186, 19227, 1125, 14097, 174, 11547, 14171, 119, 7639, 4658, 1188, 13624, 1594, 17908, 1167, 2107, 173, 1199, 1909, 2151, 1104, 1257, 7200, 3031, 1440, 3564, 3358, 174, 1333, 1657, 1524, 1194, 3562, 1113, 8023, 1313, 1207, 1805, 1500, 1151, 2635, 1194, 216, 21396, 1177, 7656, 1965, 1207, 3358, 174, 24200, 5519, 1724, 197, 3807, 29707, 1318, 2205, 3828, 13325, 1167, 5669, 1129, 1188, 1805, 4420, 1207, 18334, 5363, 1485, 1167, 1207, 12594, 8330, 16095, 3190, 1113, 8023, 176, 20767, 2089, 4701, 1207, 5797, 1118, 2942, 9142, 1318, 15224, 1300, 1207, 19574, 1362, 1207, 1114, 4691, 3157, 7231, 6427, 1293, 1342, 1378, 1110, 19560, 21497, 1158, 1113, 8023, 1856, 1189, 27308, 12545, 1210, 3725, 15000, 5725, 1158, 4426, 11104, 1835, 1606, 1158, 4438, 1125, 1158, 1113, 8023, 1167, 1158, 19369, 1125, 1115, 3915, 4821, 12427, 31250, 8179, 3486, 1146, 4748, 1158, 1113, 8023, 1188, 21396, 29304, 1366, 8113, 1439, 1158, 4337, 191, 6637, 2616, 13419, 2399, 11358, 2069, 5219, 1285, 14765, 25130, 1460, 1257, 1606, 3557, 10905, 1232, 1197, 30287, 1541, 3133, 14974, 8113, 3725, 1207, 31408, 3807, 6058, 15695, 1813, 1606, 1207, 17539, 4042, 1125, 1158, 15750, 13991, 4096, 119, 1158, 4337, 191, 3794, 1357, 4407, 1370, 1158, 11419, 1197, 20006, 9091, 2137, 29731, 1215, 1158, 5430, 4058, 17655, 1538, 12530, 4821, 29619, 28126, 1158, 1408, 30594, 12365, 1439, 2125, 17321, 1188, 1158, 1113, 8023, 1318, 5219, 6900, 1190, 2248, 5363, 1244, 10993, 1364, 1188, 4421, 1227, 1185, 2601, 1438, 1231, 10803, 1113, 8023, 1125, 2425, 3617, 2895, 8113, 1460, 1125, 1158, 1113, 8023, 4216, 9033, 13409, 1125, 2425, 13872, 2290, 1170, 1874, 1125, 1606, 15848, 1148, 3133, 1186, 6564, 1215, 1158, 7732, 19832, 3747, 1300, 1207, 4212, 1715, 1297, 2502, 1158, 11083, 2072, 1300, 22058, 2014, 2247, 1125, 1158, 26892, 1125, 1158, 7732, 19832, 2290, 1207, 6912, 1889, 1125, 13742, 31063, 5945, 1762, 1125, 9228, 18454, 2163, 1167, 6348, 184, 14453, 20037, 11488, 1167, 5474, 12323, 12874, 4618, 5526, 15565, 1160, 11894, 1125, 1158, 25552, 1151, 1960, 1530, 1724, 13999, 1628, 196, 1377, 1731, 1125, 1158, 7732, 5964, 1194, 1108, 133, 4506, 2006, 110, 8151, 179, 7055, 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, 1518, 4632, 1387, 1132, 263, 193, 1575, 1175, 304, 315, 311, 304, 312, 305, 310, 304, 1496, 1362, 1408, 30594, 1518, 2564, 190, 1387, 1132, 263, 193, 1575, 1175, 304, 321, 319, 315, 311, 304, 312, 305, 310, 304, 119, 1606, 7078, 12828, 17721, 183, 2972, 15198, 1362, 1170, 3271, 1286, 1125, 1158, 13894, 120, 2853, 1109, 1348, 1175, 311, 320, 309, 488, 306, 303, 304, 318, 488, 317, 310, 302, 307, 315, 318, 116, 1508, 1189, 3271, 1286, 1125, 1158, 7732, 1691, 21668, 1227, 4304, 4379, 1276, 1180, 1357, 9462, 1227, 3335, 1573, 1450, 1125, 1158, 11961, 1643, 1278, 1125, 6389, 1276, 8318, 1768, 11358, 1189, 2515, 12258, 3233, 1594, 1874, 1188, 13811, 8559, 1587, 1125, 1518, 4632, 1387, 1132, 263, 193, 4741, 1357, 1299, 2377, 244, 1996, 1125, 2658, 1313, 1318, 7078, 2988, 1167, 1357, 9508, 17721, 21619, 1256, 1288, 4550, 2782, 1125, 9855, 1388, 4929, 13700, 21311, 1979, 1104, 31797, 1257, 13811, 8559, 1587, 1125, 1518, 4632, 1387, 1132, 263, 193, 4741, 1306, 16603, 7009, 2601, 1120, 1606, 1170, 1572, 261, 12243, 3133, 1266, 19434, 1105, 1170, 1518, 4632, 1387, 2930, 173, 1286, 11488, 1167, 20117, 2072, 17994, 13374, 11052, 1424, 9161, 1118, 1333, 6472, 7732, 1691, 21668, 1227, 4304, 4379, 1276, 1180, 106, 4304, 15989, 1180, 7364, 5825, 1424, 488, 2769, 13700, 7400, 106, 10272, 26714, 1125, 2397, 173, 1442, 1788, 1518, 7363, 1257, 10148, 237, 1245, 1125, 2031, 3603, 2031, 3603, 1772, 1450, 1645, 1845, 3603, 1173, 2427, 176, 1194, 16976, 1519, 2923, 14224, 3718, 20865, 4979, 1691, 21668, 1227, 2383, 15989, 1180, 2586, 189, 4481, 1272, 14224, 3718, 121, 32001, 1424, 32000, 20036, 2608, 1518, 4632, 1387, 1132, 263, 193, 1575, 1175, 304, 315, 311, 304, 312, 305, 310, 304, 1496, 1362, 1408, 30594, 1518, 2564, 190, 1387, 1132, 263, 193, 1575, 1175, 304, 321, 319, 315, 311, 304, 312, 305, 310, 304, 119, 1606, 7078, 12828, 17721, 183, 2972, 15198, 1362, 1170, 3271, 1286, 1125, 1158, 13894, 120, 2853, 1109, 1348, 1175, 311, 320, 309, 488, 306, 303, 304, 318, 488, 317, 310, 302, 307, 315, 318, 116, 1508, 1189, 3271, 1286, 1125, 1158, 7732, 1691, 21668, 1227, 4304, 4379, 1276, 1180, 1357, 9462, 1227, 3335, 1573, 1450, 1125, 1158, 11961, 1643, 1278, 1125, 6389, 1276, 8318, 1768, 11358, 1189, 2515, 12258, 3233, 1594, 1874, 1188, 13811, 8559, 1587, 1125, 1518, 4632, 1387, 1132, 263, 193, 4741, 1357, 1299, 2377, 244, 1996, 1125, 2658, 1313, 1318, 7078, 2988, 1167, 1357, 9508, 17721, 21619, 1256, 1288, 4550, 2782, 1125, 9855, 1388, 4929, 13700, 21311, 1979, 1104, 31797, 1257, 13811, 8559, 1587, 1125, 1518, 4632, 1387, 1132, 263, 193, 4741, 1306, 16603, 7009, 2601, 1120, 1606, 1170, 1572, 261, 12243, 3133, 1266, 19434, 1105, 1170, 1518, 4632, 1387, 2930, 173, 1286, 11488, 1167, 20117, 2072, 17994, 13374, 11052, 1424, 9161, 1118, 1333, 6472, 7732, 1691, 21668, 1227, 4304, 4379, 1276, 1180, 106, 4304, 15989, 1180, 7364, 5825, 1424, 488, 2769, 13700, 7400, 106, 10272, 26714, 1125, 2397, 173, 1442, 1788, 1518, 7363, 1257, 10148, 237, 1245, 1125, 2031, 3603, 2031, 3603, 1772, 1450, 1645, 1845, 3603, 1173, 2427, 176, 1194, 16976, 1519, 2923, 14224, 3718, 20865, 4979, 1691, 21668, 1227, 2383, 15989, 1180, 2586, 189, 4481, 1272, 14224, 3718, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1518, 4632, 1387, 1132, 263, 193, 1575, 1175, 304, 315, 311, 304, 312, 305, 310, 304, 1496, 1362, 1408, 30594, 1518, 2564, 190, 1387, 1132, 263, 193, 1575, 1175, 304, 321, 319, 315, 311, 304, 312, 305, 310, 304, 119, 1606, 7078, 12828, 17721, 183, 2972, 15198, 1362, 1170, 3271, 1286, 1125, 1158, 13894, 120, 2853, 1109, 1348, 1175, 311, 320, 309, 488, 306, 303, 304, 318, 488, 317, 310, 302, 307, 315, 318, 116, 1508, 1189, 3271, 1286, 1125, 1158, 7732, 1691, 21668, 1227, 4304, 4379, 1276, 1180, 1357, 9462, 1227, 3335, 1573, 1450, 1125, 1158, 11961, 1643, 1278, 1125, 6389, 1276, 8318, 1768, 11358, 1189, 2515, 12258, 3233, 1594, 1874, 1188, 13811, 8559, 1587, 1125, 1518, 4632, 1387, 1132, 263, 193, 4741, 1357, 1299, 2377, 244, 1996, 1125, 2658, 1313, 1318, 7078, 2988, 1167, 1357, 9508, 17721, 21619, 1256, 1288, 4550, 2782, 1125, 9855, 1388, 4929, 13700, 21311, 1979, 1104, 31797, 1257, 13811, 8559, 1587, 1125, 1518, 4632, 1387, 1132, 263, 193, 4741, 1306, 16603, 7009, 2601, 1120, 1606, 1170, 1572, 261, 12243, 3133, 1266, 19434, 1105, 1170, 1518, 4632, 1387, 2930, 173, 1286, 11488, 1167, 20117, 2072, 17994, 13374, 11052, 1424, 9161, 1118, 1333, 6472, 7732, 1691, 21668, 1227, 4304, 4379, 1276, 1180, 106, 4304, 15989, 1180, 7364, 5825, 1424, 488, 2769, 13700, 7400, 106, 10272, 26714, 1125, 2397, 173, 1442, 1788, 1518, 7363, 1257, 10148, 237, 1245, 1125, 2031, 3603, 2031, 3603, 1772, 1450, 1645, 1845, 3603, 1173, 2427, 176, 1194, 16976, 1519, 2923, 14224, 3718, 20865, 4979, 1691, 21668, 1227, 2383, 15989, 1180, 2586, 189, 4481, 1272, 14224, 3718, 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, 1618, 1445, 1125, 1158, 1306, 30359, 1299, 1189, 1618, 1445, 8446, 1188, 1192, 1395, 12781, 1313, 1170, 5927, 1125, 5613, 1278, 1186, 29470, 9994, 22295, 10791, 1618, 1445, 1125, 1158, 1306, 30359, 1281, 18381, 1313, 1158, 4813, 5519, 1395, 12781, 1313, 14097, 12925, 1227, 5927, 1125, 5613, 3988, 1317, 5545, 1125, 1158, 3734, 13219, 1227, 1200, 2466, 193, 4537, 2605, 175, 19546, 1188, 3997, 488, 488, 126, 7275, 1317, 18762, 13469, 1125, 1158, 3837, 1125, 6592, 20378, 1527, 3227, 195, 1148, 1158, 22119, 1125, 1158, 27746, 3476, 5685, 6252, 1158, 8956, 1469, 1170, 19377, 1227, 4273, 1287, 5288, 1388, 9748, 8150, 1214, 12616, 1306, 30359, 1299, 6215, 1125, 20774, 10724, 2607, 17139, 189, 1606, 1113, 11835, 4106, 29832, 1524, 10177, 15376, 12616, 4971, 1227, 1618, 1445, 22475, 1370, 1571, 4092, 488, 124, 126, 129, 123, 119, 24641, 7542, 1158, 6545, 1125, 8332, 1645, 1297, 2576, 1740, 28567, 4407, 1370, 1318, 9462, 1336, 1227, 1674, 1929, 244, 22501, 255, 1125, 7839, 4414, 1173, 1298, 180, 1856, 1906, 3781, 1188, 1158, 23608, 119, 1527, 1299, 6349, 24511, 121, 1768, 10014, 3955, 2757, 119, 1170, 9209, 2519, 21540, 6530, 12057, 2743, 1186, 8263, 10125, 1388, 15779, 11771, 30419, 2341, 1120, 10791, 2341, 1120, 1110, 1913, 8325, 19546, 1317, 1859, 12907, 2079, 488, 124, 126, 129, 123, 121, 1768, 1299, 13644, 2335, 5773, 8677, 20723, 2519, 3828, 7624, 1125, 12585, 3130, 2295, 2290, 31411, 1849, 3851, 18547, 4060, 3247, 13676, 1299, 20767, 6407, 1215, 2069, 5773, 1125, 2341, 1120, 1522, 1687, 1199, 1207, 15489, 1167, 28545, 1186, 5464, 119, 1317, 8030, 12825, 18979, 1227, 1169, 197, 3840, 9037, 8034, 1303, 1508, 11931, 1186, 12316, 1272, 1125, 1114, 1399, 195, 1167, 14949, 1125, 7027, 11781, 1309, 4142, 1125, 23887, 1272, 1508, 1186, 1113, 1220, 1125, 6141, 121, 2576, 4840, 1299, 1300, 14086, 244, 2335, 15630, 1188, 11266, 1113, 18547, 6218, 16559, 4113, 1188, 1189, 2262, 1125, 4971, 18279, 1186, 1645, 14691, 2944, 1723, 1996, 28279, 192, 1186, 20483, 4654, 1653, 6500, 2076, 1995, 1207, 1110, 3045, 1317, 8030, 1288, 1508, 1382, 1561, 1292, 16784, 1170, 2678, 1125, 1282, 1740, 28567, 1281, 29828, 2335, 1306, 1167, 1227, 2678, 13348, 1215, 1207, 1233, 9388, 2097, 9271, 1171, 7634, 4817, 1972, 1306, 120, 10826, 1388, 2951, 11346, 1158, 5197, 1125, 1158, 3828, 7624, 1299, 1189, 2989, 2308, 189, 3923, 119, 24641, 7230, 1299, 30647, 2519, 31411, 1849, 1188, 2107, 173, 1457, 25066, 4112, 119, 11858, 1304, 1129, 3144, 1285, 1125, 19360, 9184, 13869, 1167, 11734, 8941, 1630, 11536, 5312, 1216, 1234, 25933, 1285, 1299, 7925, 1960, 1197, 1166, 14964, 24831, 2290, 31411, 1849, 1125, 1282, 17792, 30831, 1227, 6749, 2606, 2341, 1120, 1110, 1913, 1169, 1712, 3649, 1317, 488, 124, 132, 2247, 6298, 1317, 4452, 23459, 1125, 5695, 9462, 2339, 1357, 2004, 1913, 3338, 2532, 4321, 1856, 1186, 12404, 1129, 1207, 24586, 3967, 2335, 7271, 5338, 1445, 10803, 1638, 1678, 28471, 184, 1774, 19528, 1638, 1678, 28471, 184, 13476, 23172, 1188, 7722, 1207, 14479, 18585, 1227, 1674, 1929, 2357, 1110, 1913, 27537, 1188, 1158, 1622, 1227, 488, 124, 128, 2247, 19565, 12907, 2079, 488, 124, 127, 132, 124, 121, 1867, 2678, 11852, 1475, 29345, 1158, 1638, 1678, 1299, 1188, 3203, 1288, 4842, 1167, 11358, 1189, 5873, 1512, 30652, 1186, 18557, 1167, 1188, 1754, 5533, 6218, 2024, 173, 14443, 1299, 1186, 2031, 1488, 1376, 1125, 1114, 1399, 195, 1469, 1197, 27421, 1186, 14949, 1125, 7027, 121, 1643, 31411, 1849, 1188, 4014, 1623, 1299, 7080, 13874, 1215, 2069, 8824, 1473, 1125, 1113, 2303, 1541, 3338, 11418, 1199, 1189, 30107, 1334, 8677, 1167, 1197, 2306, 2308, 2634, 4413, 3767, 4041, 1227, 2511, 5873, 1512, 119, 1207, 6570, 2007, 6294, 1129, 2743, 1207, 20842, 12904, 2331, 1376, 12770, 1595, 1234, 1300, 14086, 1234, 1227, 5946, 2333, 1674, 1929, 1132, 8370, 488, 125, 123, 124, 129, 119, 1158, 1638, 1678, 1844, 11582, 2519, 19006, 1215, 19732, 29302, 7188, 1655, 1201, 2130, 23885, 109, 1469, 1207, 30792, 1167, 1170, 20879, 21232, 2462, 1517, 1388, 2101, 6736, 10791, 1618, 1445, 1125, 1158, 1306, 30359, 1844, 11582, 2335, 14408, 1317, 3694, 1197, 19574, 17104, 1215, 9829, 1227, 1939, 4060, 15224, 8045, 1170, 2341, 1120, 1167, 1158, 1638, 1678, 119, 1186, 21442, 11488, 1167, 5474, 15948, 13459, 2072, 17994, 13374, 11052, 1424, 12253, 1197, 19574, 17104, 1125, 5613, 1278, 106, 12253, 1197, 1270, 28669, 1167, 1618, 12959, 1125, 5613, 1278, 7364, 5825, 2093, 147, 30359, 11301, 2070, 10777, 8827, 1186, 488, 125, 123, 124, 124, 11301, 2070, 10777, 14399, 1186, 488, 125, 123, 125, 123, 10541, 11771, 1125, 3838, 3854, 1265, 32001, 1424, 32000, 20036, 2359, 1618, 1445, 1125, 1158, 1306, 30359, 1299, 1189, 1618, 1445, 8446, 1188, 1192, 1395, 12781, 1313, 1170, 5927, 1125, 5613, 1278, 1186, 29470, 9994, 22295, 10791, 1618, 1445, 1125, 1158, 1306, 30359, 1281, 18381, 1313, 1158, 4813, 5519, 1395, 12781, 1313, 14097, 12925, 1227, 5927, 1125, 5613, 3988, 1317, 5545, 1125, 1158, 3734, 13219, 1227, 1200, 2466, 193, 4537, 2605, 175, 19546, 1188, 3997, 488, 488, 126, 7275, 1317, 18762, 13469, 1125, 1158, 3837, 1125, 6592, 20378, 1527, 3227, 195, 1148, 1158, 22119, 1125, 1158, 27746, 3476, 5685, 6252, 1158, 8956, 1469, 1170, 19377, 1227, 4273, 1287, 5288, 1388, 9748, 8150, 1214, 12616, 1306, 30359, 1299, 6215, 1125, 20774, 10724, 2607, 17139, 189, 1606, 1113, 11835, 4106, 29832, 1524, 10177, 15376, 12616, 4971, 1227, 1618, 1445, 22475, 1370, 1571, 4092, 488, 124, 126, 129, 123, 119, 24641, 7542, 1158, 6545, 1125, 8332, 1645, 1297, 2576, 1740, 28567, 4407, 1370, 1318, 9462, 1336, 1227, 1674, 1929, 244, 22501, 255, 1125, 7839, 4414, 1173, 1298, 180, 1856, 1906, 3781, 1188, 1158, 23608, 119, 1527, 1299, 6349, 24511, 121, 1768, 10014, 3955, 2757, 119, 1170, 9209, 2519, 21540, 6530, 12057, 2743, 1186, 8263, 10125, 1388, 15779, 11771, 30419, 2341, 1120, 10791, 2341, 1120, 1110, 1913, 8325, 19546, 1317, 1859, 12907, 2079, 488, 124, 126, 129, 123, 121, 1768, 1299, 13644, 2335, 5773, 8677, 20723, 2519, 3828, 7624, 1125, 12585, 3130, 2295, 2290, 31411, 1849, 3851, 18547, 4060, 3247, 13676, 1299, 20767, 6407, 1215, 2069, 5773, 1125, 2341, 1120, 1522, 1687, 1199, 1207, 15489, 1167, 28545, 1186, 5464, 119, 1317, 8030, 12825, 18979, 1227, 1169, 197, 3840, 9037, 8034, 1303, 1508, 11931, 1186, 12316, 1272, 1125, 1114, 1399, 195, 1167, 14949, 1125, 7027, 11781, 1309, 4142, 1125, 23887, 1272, 1508, 1186, 1113, 1220, 1125, 6141, 121, 2576, 4840, 1299, 1300, 14086, 244, 2335, 15630, 1188, 11266, 1113, 18547, 6218, 16559, 4113, 1188, 1189, 2262, 1125, 4971, 18279, 1186, 1645, 14691, 2944, 1723, 1996, 28279, 192, 1186, 20483, 4654, 1653, 6500, 2076, 1995, 1207, 1110, 3045, 1317, 8030, 1288, 1508, 1382, 1561, 1292, 16784, 1170, 2678, 1125, 1282, 1740, 28567, 1281, 29828, 2335, 1306, 1167, 1227, 2678, 13348, 1215, 1207, 1233, 9388, 2097, 9271, 1171, 7634, 4817, 1972, 1306, 120, 10826, 1388, 2951, 11346, 1158, 5197, 1125, 1158, 3828, 7624, 1299, 1189, 2989, 2308, 189, 3923, 119, 24641, 7230, 1299, 30647, 2519, 31411, 1849, 1188, 2107, 173, 1457, 25066, 4112, 119, 11858, 1304, 1129, 3144, 1285, 1125, 19360, 9184, 13869, 1167, 11734, 8941, 1630, 11536, 5312, 1216, 1234, 25933, 1285, 1299, 7925, 1960, 1197, 1166, 14964, 24831, 2290, 31411, 1849, 1125, 1282, 17792, 30831, 1227, 6749, 2606, 2341, 1120, 1110, 1913, 1169, 1712, 3649, 1317, 488, 124, 132, 2247, 6298, 1317, 4452, 23459, 1125, 5695, 9462, 2339, 1357, 2004, 1913, 3338, 2532, 4321, 1856, 1186, 12404, 1129, 1207, 24586, 3967, 2335, 7271, 5338, 1445, 10803, 1638, 1678, 28471, 184, 1774, 19528, 1638, 1678, 28471, 184, 13476, 23172, 1188, 7722, 1207, 14479, 18585, 1227, 1674, 1929, 2357, 1110, 1913, 27537, 1188, 1158, 1622, 1227, 488, 124, 128, 2247, 19565, 12907, 2079, 488, 124, 127, 132, 124, 121, 1867, 2678, 11852, 1475, 29345, 1158, 1638, 1678, 1299, 1188, 3203, 1288, 4842, 1167, 11358, 1189, 5873, 1512, 30652, 1186, 18557, 1167, 1188, 1754, 5533, 6218, 2024, 173, 14443, 1299, 1186, 2031, 1488, 1376, 1125, 1114, 1399, 195, 1469, 1197, 27421, 1186, 14949, 1125, 7027, 121, 1643, 31411, 1849, 1188, 4014, 1623, 1299, 7080, 13874, 1215, 2069, 8824, 1473, 1125, 1113, 2303, 1541, 3338, 11418, 1199, 1189, 30107, 1334, 8677, 1167, 1197, 2306, 2308, 2634, 4413, 3767, 4041, 1227, 2511, 5873, 1512, 119, 1207, 6570, 2007, 6294, 1129, 2743, 1207, 20842, 12904, 2331, 1376, 12770, 1595, 1234, 1300, 14086, 1234, 1227, 5946, 2333, 1674, 1929, 1132, 8370, 488, 125, 123, 124, 129, 119, 1158, 1638, 1678, 1844, 11582, 2519, 19006, 1215, 19732, 29302, 7188, 1655, 1201, 2130, 23885, 109, 1469, 1207, 30792, 1167, 1170, 20879, 21232, 2462, 1517, 1388, 2101, 6736, 10791, 1618, 1445, 1125, 1158, 1306, 30359, 1844, 11582, 2335, 14408, 1317, 3694, 1197, 19574, 17104, 1215, 9829, 1227, 1939, 4060, 15224, 8045, 1170, 2341, 1120, 1167, 1158, 1638, 1678, 119, 1186, 21442, 11488, 1167, 5474, 15948, 13459, 2072, 17994, 13374, 11052, 1424, 12253, 1197, 19574, 17104, 1125, 5613, 1278, 106, 12253, 1197, 1270, 28669, 1167, 1618, 12959, 1125, 5613, 1278, 7364, 5825, 2093, 147, 30359, 11301, 2070, 10777, 8827, 1186, 488, 125, 123, 124, 124, 11301, 2070, 10777, 14399, 1186, 488, 125, 123, 125, 123, 10541, 11771, 1125, 3838, 3854, 1265, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1618, 1445, 1125, 1158, 1306, 30359, 1299, 1189, 1618, 1445, 8446, 1188, 1192, 1395, 12781, 1313, 1170, 5927, 1125, 5613, 1278, 1186, 29470, 9994, 22295, 10791, 1618, 1445, 1125, 1158, 1306, 30359, 1281, 18381, 1313, 1158, 4813, 5519, 1395, 12781, 1313, 14097, 12925, 1227, 5927, 1125, 5613, 3988, 1317, 5545, 1125, 1158, 3734, 13219, 1227, 1200, 2466, 193, 4537, 2605, 175, 19546, 1188, 3997, 488, 488, 126, 7275, 1317, 18762, 13469, 1125, 1158, 3837, 1125, 6592, 20378, 1527, 3227, 195, 1148, 1158, 22119, 1125, 1158, 27746, 3476, 5685, 6252, 1158, 8956, 1469, 1170, 19377, 1227, 4273, 1287, 5288, 1388, 9748, 8150, 1214, 12616, 1306, 30359, 1299, 6215, 1125, 20774, 10724, 2607, 17139, 189, 1606, 1113, 11835, 4106, 29832, 1524, 10177, 15376, 12616, 4971, 1227, 1618, 1445, 22475, 1370, 1571, 4092, 488, 124, 126, 129, 123, 119, 24641, 7542, 1158, 6545, 1125, 8332, 1645, 1297, 2576, 1740, 28567, 4407, 1370, 1318, 9462, 1336, 1227, 1674, 1929, 244, 22501, 255, 1125, 7839, 4414, 1173, 1298, 180, 1856, 1906, 3781, 1188, 1158, 23608, 119, 1527, 1299, 6349, 24511, 121, 1768, 10014, 3955, 2757, 119, 1170, 9209, 2519, 21540, 6530, 12057, 2743, 1186, 8263, 10125, 1388, 15779, 11771, 30419, 2341, 1120, 10791, 2341, 1120, 1110, 1913, 8325, 19546, 1317, 1859, 12907, 2079, 488, 124, 126, 129, 123, 121, 1768, 1299, 13644, 2335, 5773, 8677, 20723, 2519, 3828, 7624, 1125, 12585, 3130, 2295, 2290, 31411, 1849, 3851, 18547, 4060, 3247, 13676, 1299, 20767, 6407, 1215, 2069, 5773, 1125, 2341, 1120, 1522, 1687, 1199, 1207, 15489, 1167, 28545, 1186, 5464, 119, 1317, 8030, 12825, 18979, 1227, 1169, 197, 3840, 9037, 8034, 1303, 1508, 11931, 1186, 12316, 1272, 1125, 1114, 1399, 195, 1167, 14949, 1125, 7027, 11781, 1309, 4142, 1125, 23887, 1272, 1508, 1186, 1113, 1220, 1125, 6141, 121, 2576, 4840, 1299, 1300, 14086, 244, 2335, 15630, 1188, 11266, 1113, 18547, 6218, 16559, 4113, 1188, 1189, 2262, 1125, 4971, 18279, 1186, 1645, 14691, 2944, 1723, 1996, 28279, 192, 1186, 20483, 4654, 1653, 6500, 2076, 1995, 1207, 1110, 3045, 1317, 8030, 1288, 1508, 1382, 1561, 1292, 16784, 1170, 2678, 1125, 1282, 1740, 28567, 1281, 29828, 2335, 1306, 1167, 1227, 2678, 13348, 1215, 1207, 1233, 9388, 2097, 9271, 1171, 7634, 4817, 1972, 1306, 120, 10826, 1388, 2951, 11346, 1158, 5197, 1125, 1158, 3828, 7624, 1299, 1189, 2989, 2308, 189, 3923, 119, 24641, 7230, 1299, 30647, 2519, 31411, 1849, 1188, 2107, 173, 1457, 25066, 4112, 119, 11858, 1304, 1129, 3144, 1285, 1125, 19360, 9184, 13869, 1167, 11734, 8941, 1630, 11536, 5312, 1216, 1234, 25933, 1285, 1299, 7925, 1960, 1197, 1166, 14964, 24831, 2290, 31411, 1849, 1125, 1282, 17792, 30831, 1227, 6749, 2606, 2341, 1120, 1110, 1913, 1169, 1712, 3649, 1317, 488, 124, 132, 2247, 6298, 1317, 4452, 23459, 1125, 5695, 9462, 2339, 1357, 2004, 1913, 3338, 2532, 4321, 1856, 1186, 12404, 1129, 1207, 24586, 3967, 2335, 7271, 5338, 1445, 10803, 1638, 1678, 28471, 184, 1774, 19528, 1638, 1678, 28471, 184, 13476, 23172, 1188, 7722, 1207, 14479, 18585, 1227, 1674, 1929, 2357, 1110, 1913, 27537, 1188, 1158, 1622, 1227, 488, 124, 128, 2247, 19565, 12907, 2079, 488, 124, 127, 132, 124, 121, 1867, 2678, 11852, 1475, 29345, 1158, 1638, 1678, 1299, 1188, 3203, 1288, 4842, 1167, 11358, 1189, 5873, 1512, 30652, 1186, 18557, 1167, 1188, 1754, 5533, 6218, 2024, 173, 14443, 1299, 1186, 2031, 1488, 1376, 1125, 1114, 1399, 195, 1469, 1197, 27421, 1186, 14949, 1125, 7027, 121, 1643, 31411, 1849, 1188, 4014, 1623, 1299, 7080, 13874, 1215, 2069, 8824, 1473, 1125, 1113, 2303, 1541, 3338, 11418, 1199, 1189, 30107, 1334, 8677, 1167, 1197, 2306, 2308, 2634, 4413, 3767, 4041, 1227, 2511, 5873, 1512, 119, 1207, 6570, 2007, 6294, 1129, 2743, 1207, 20842, 12904, 2331, 1376, 12770, 1595, 1234, 1300, 14086, 1234, 1227, 5946, 2333, 1674, 1929, 1132, 8370, 488, 125, 123, 124, 129, 119, 1158, 1638, 1678, 1844, 11582, 2519, 19006, 1215, 19732, 29302, 7188, 1655, 1201, 2130, 23885, 109, 1469, 1207, 30792, 1167, 1170, 20879, 21232, 2462, 1517, 1388, 2101, 6736, 10791, 1618, 1445, 1125, 1158, 1306, 30359, 1844, 11582, 2335, 14408, 1317, 3694, 1197, 19574, 17104, 1215, 9829, 1227, 1939, 4060, 15224, 8045, 1170, 2341, 1120, 1167, 1158, 1638, 1678, 119, 1186, 21442, 11488, 1167, 5474, 15948, 13459, 2072, 17994, 13374, 11052, 1424, 12253, 1197, 19574, 17104, 1125, 5613, 1278, 106, 12253, 1197, 1270, 28669, 1167, 1618, 12959, 1125, 5613, 1278, 7364, 5825, 2093, 147, 30359, 11301, 2070, 10777, 8827, 1186, 488, 125, 123, 124, 124, 11301, 2070, 10777, 14399, 1186, 488, 125, 123, 125, 123, 10541, 11771, 1125, 3838, 3854, 1265, 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, 1318, 10244, 1138, 1651, 1314, 30530, 1125, 17304, 4654, 3450, 4665, 1170, 10605, 192, 1533, 1233, 1588, 1362, 1170, 1874, 1125, 7207, 186, 19608, 181, 1314, 178, 1150, 1388, 17696, 1314, 23435, 1433, 184, 4058, 18604, 13870, 13651, 7207, 186, 19608, 181, 1314, 178, 1150, 10262, 16816, 1188, 19608, 3023, 1139, 3327, 15826, 244, 11565, 1424, 15539, 2074, 1888, 1197, 21761, 12412, 11505, 1134, 4741, 5863, 175, 4277, 1165, 2649, 1810, 13436, 1183, 236, 119, 1165, 2506, 1109, 1174, 4691, 1810, 1306, 4019, 1810, 2722, 1490, 248, 2086, 27746, 1124, 6266, 1810, 1198, 1172, 16410, 1167, 3728, 1126, 3981, 1165, 2649, 172, 1317, 20449, 13469, 1125, 1158, 17304, 4654, 6053, 1318, 3734, 16489, 10877, 1835, 488, 131, 123, 123, 1167, 488, 124, 131, 123, 123, 1127, 24950, 5815, 10177, 15376, 18805, 7790, 1138, 1651, 1554, 1508, 6663, 1234, 1186, 17304, 1214, 1186, 30789, 6348, 19085, 1215, 1207, 24466, 1125, 3091, 1276, 1193, 3333, 1167, 16608, 6293, 2036, 1768, 25005, 20045, 1304, 7180, 1541, 1125, 10244, 1227, 1501, 1232, 1334, 28924, 4528, 121, 4060, 5740, 1110, 7798, 2962, 1207, 28790, 2981, 1717, 1600, 3622, 31016, 1215, 29786, 9593, 1125, 7925, 1960, 1317, 3285, 1197, 25775, 1186, 2321, 1197, 6040, 13535, 25903, 1167, 3263, 20678, 10803, 7751, 1227, 15848, 1272, 7207, 1915, 1823, 21898, 1303, 1215, 1170, 2959, 11497, 1272, 1125, 1152, 13610, 3155, 1172, 1728, 1469, 1197, 28790, 23063, 30124, 1346, 1856, 1158, 1138, 4166, 10983, 13870, 12057, 1158, 1131, 181, 1390, 1125, 26274, 1362, 1207, 7502, 8115, 1167, 21179, 7474, 7502, 11181, 2097, 2040, 4428, 2124, 25374, 1158, 1408, 20845, 1299, 1158, 1138, 4166, 10983, 1125, 2076, 12238, 1314, 13870, 1731, 1309, 1170, 16082, 1478, 3155, 1172, 1728, 1125, 2989, 121, 4466, 28790, 2959, 11497, 1473, 2004, 7798, 1317, 1962, 1197, 25775, 1318, 10244, 1906, 20855, 1188, 1561, 6233, 7993, 28341, 10803, 10544, 21364, 1125, 1158, 10244, 3110, 1125, 488, 124, 131, 132, 123, 1167, 1125, 30293, 1227, 2067, 175, 2687, 1472, 13699, 12657, 4058, 1424, 2700, 1232, 1594, 1874, 5444, 1331, 5161, 3557, 1318, 10244, 16816, 1188, 19608, 3023, 7272, 1457, 9997, 2076, 1995, 488, 128, 128, 2199, 1197, 12296, 1508, 7207, 1285, 1170, 15848, 1272, 1299, 6617, 22324, 17323, 1127, 11809, 1389, 1125, 7272, 1167, 2076, 488, 126, 120, 127, 2199, 1508, 4089, 28875, 1808, 24790, 1244, 3027, 1508, 2372, 3576, 1257, 1127, 3205, 3476, 2989, 1197, 1947, 21914, 26446, 10708, 1151, 3794, 10035, 1196, 1167, 1694, 9509, 15554, 1808, 2623, 1541, 1139, 12734, 1469, 1318, 9477, 13327, 1167, 2399, 1131, 5276, 1256, 8753, 18448, 1317, 5581, 1125, 2069, 8793, 19528, 1152, 2291, 4946, 488, 124, 125, 128, 5019, 1167, 1113, 7551, 3997, 488, 127, 128, 123, 14829, 1167, 1170, 7899, 6225, 488, 124, 126, 128, 5019, 1256, 3997, 488, 129, 128, 123, 14829, 1186, 8468, 7552, 187, 19192, 14564, 2119, 1318, 10244, 26659, 1256, 1561, 20311, 119, 14238, 1303, 1256, 1561, 1111, 1987, 1389, 1167, 1170, 11231, 5777, 1125, 1638, 6631, 2093, 15539, 1915, 2072, 14515, 1856, 10187, 1125, 14743, 1167, 1915, 5518, 1189, 1996, 1125, 1158, 5210, 8921, 29628, 1125, 2372, 4048, 2399, 10825, 1318, 4556, 10979, 1125, 1441, 1365, 1167, 1125, 2515, 1272, 1469, 1189, 6844, 7648, 1186, 3734, 16489, 1632, 10803, 10244, 1299, 22150, 20212, 2009, 1188, 1222, 2719, 1128, 1383, 1575, 3002, 1109, 3366, 1189, 25326, 1286, 18279, 1186, 23777, 4123, 4994, 3450, 1299, 23995, 1960, 1167, 1915, 1281, 4097, 1107, 1125, 3663, 3277, 6596, 23399, 14333, 1199, 1186, 9108, 13003, 9770, 1643, 1152, 2291, 1110, 1189, 3040, 5777, 1125, 6904, 1214, 1197, 2623, 9484, 3450, 21801, 2519, 4556, 2102, 1833, 1348, 1167, 2335, 3040, 5777, 1125, 1152, 245, 183, 1272, 12498, 2119, 2072, 1318, 4556, 10244, 1856, 2922, 1125, 3664, 25989, 1469, 1197, 28790, 2207, 244, 1705, 2252, 1256, 1158, 20311, 1167, 1158, 1166, 10667, 10962, 1256, 1158, 4052, 1158, 1477, 1450, 1388, 16859, 24750, 12616, 5740, 1125, 7207, 186, 19608, 181, 1314, 178, 1150, 3031, 1125, 488, 12296, 1186, 488, 124, 132, 132, 132, 7745, 3249, 15948, 17994, 13459, 20544, 11052, 1424, 12253, 1125, 28790, 1138, 1651, 2252, 7364, 5825, 2093, 157, 1431, 1138, 1651, 1314, 30530, 1125, 17304, 4654, 32001, 1424, 32000, 20036, 24368, 1318, 10244, 1138, 1651, 1314, 30530, 1125, 17304, 4654, 3450, 4665, 1170, 10605, 192, 1533, 1233, 1588, 1362, 1170, 1874, 1125, 7207, 186, 19608, 181, 1314, 178, 1150, 1388, 17696, 1314, 23435, 1433, 184, 4058, 18604, 13870, 13651, 7207, 186, 19608, 181, 1314, 178, 1150, 10262, 16816, 1188, 19608, 3023, 1139, 3327, 15826, 244, 11565, 1424, 15539, 2074, 1888, 1197, 21761, 12412, 11505, 1134, 4741, 5863, 175, 4277, 1165, 2649, 1810, 13436, 1183, 236, 119, 1165, 2506, 1109, 1174, 4691, 1810, 1306, 4019, 1810, 2722, 1490, 248, 2086, 27746, 1124, 6266, 1810, 1198, 1172, 16410, 1167, 3728, 1126, 3981, 1165, 2649, 172, 1317, 20449, 13469, 1125, 1158, 17304, 4654, 6053, 1318, 3734, 16489, 10877, 1835, 488, 131, 123, 123, 1167, 488, 124, 131, 123, 123, 1127, 24950, 5815, 10177, 15376, 18805, 7790, 1138, 1651, 1554, 1508, 6663, 1234, 1186, 17304, 1214, 1186, 30789, 6348, 19085, 1215, 1207, 24466, 1125, 3091, 1276, 1193, 3333, 1167, 16608, 6293, 2036, 1768, 25005, 20045, 1304, 7180, 1541, 1125, 10244, 1227, 1501, 1232, 1334, 28924, 4528, 121, 4060, 5740, 1110, 7798, 2962, 1207, 28790, 2981, 1717, 1600, 3622, 31016, 1215, 29786, 9593, 1125, 7925, 1960, 1317, 3285, 1197, 25775, 1186, 2321, 1197, 6040, 13535, 25903, 1167, 3263, 20678, 10803, 7751, 1227, 15848, 1272, 7207, 1915, 1823, 21898, 1303, 1215, 1170, 2959, 11497, 1272, 1125, 1152, 13610, 3155, 1172, 1728, 1469, 1197, 28790, 23063, 30124, 1346, 1856, 1158, 1138, 4166, 10983, 13870, 12057, 1158, 1131, 181, 1390, 1125, 26274, 1362, 1207, 7502, 8115, 1167, 21179, 7474, 7502, 11181, 2097, 2040, 4428, 2124, 25374, 1158, 1408, 20845, 1299, 1158, 1138, 4166, 10983, 1125, 2076, 12238, 1314, 13870, 1731, 1309, 1170, 16082, 1478, 3155, 1172, 1728, 1125, 2989, 121, 4466, 28790, 2959, 11497, 1473, 2004, 7798, 1317, 1962, 1197, 25775, 1318, 10244, 1906, 20855, 1188, 1561, 6233, 7993, 28341, 10803, 10544, 21364, 1125, 1158, 10244, 3110, 1125, 488, 124, 131, 132, 123, 1167, 1125, 30293, 1227, 2067, 175, 2687, 1472, 13699, 12657, 4058, 1424, 2700, 1232, 1594, 1874, 5444, 1331, 5161, 3557, 1318, 10244, 16816, 1188, 19608, 3023, 7272, 1457, 9997, 2076, 1995, 488, 128, 128, 2199, 1197, 12296, 1508, 7207, 1285, 1170, 15848, 1272, 1299, 6617, 22324, 17323, 1127, 11809, 1389, 1125, 7272, 1167, 2076, 488, 126, 120, 127, 2199, 1508, 4089, 28875, 1808, 24790, 1244, 3027, 1508, 2372, 3576, 1257, 1127, 3205, 3476, 2989, 1197, 1947, 21914, 26446, 10708, 1151, 3794, 10035, 1196, 1167, 1694, 9509, 15554, 1808, 2623, 1541, 1139, 12734, 1469, 1318, 9477, 13327, 1167, 2399, 1131, 5276, 1256, 8753, 18448, 1317, 5581, 1125, 2069, 8793, 19528, 1152, 2291, 4946, 488, 124, 125, 128, 5019, 1167, 1113, 7551, 3997, 488, 127, 128, 123, 14829, 1167, 1170, 7899, 6225, 488, 124, 126, 128, 5019, 1256, 3997, 488, 129, 128, 123, 14829, 1186, 8468, 7552, 187, 19192, 14564, 2119, 1318, 10244, 26659, 1256, 1561, 20311, 119, 14238, 1303, 1256, 1561, 1111, 1987, 1389, 1167, 1170, 11231, 5777, 1125, 1638, 6631, 2093, 15539, 1915, 2072, 14515, 1856, 10187, 1125, 14743, 1167, 1915, 5518, 1189, 1996, 1125, 1158, 5210, 8921, 29628, 1125, 2372, 4048, 2399, 10825, 1318, 4556, 10979, 1125, 1441, 1365, 1167, 1125, 2515, 1272, 1469, 1189, 6844, 7648, 1186, 3734, 16489, 1632, 10803, 10244, 1299, 22150, 20212, 2009, 1188, 1222, 2719, 1128, 1383, 1575, 3002, 1109, 3366, 1189, 25326, 1286, 18279, 1186, 23777, 4123, 4994, 3450, 1299, 23995, 1960, 1167, 1915, 1281, 4097, 1107, 1125, 3663, 3277, 6596, 23399, 14333, 1199, 1186, 9108, 13003, 9770, 1643, 1152, 2291, 1110, 1189, 3040, 5777, 1125, 6904, 1214, 1197, 2623, 9484, 3450, 21801, 2519, 4556, 2102, 1833, 1348, 1167, 2335, 3040, 5777, 1125, 1152, 245, 183, 1272, 12498, 2119, 2072, 1318, 4556, 10244, 1856, 2922, 1125, 3664, 25989, 1469, 1197, 28790, 2207, 244, 1705, 2252, 1256, 1158, 20311, 1167, 1158, 1166, 10667, 10962, 1256, 1158, 4052, 1158, 1477, 1450, 1388, 16859, 24750, 12616, 5740, 1125, 7207, 186, 19608, 181, 1314, 178, 1150, 3031, 1125, 488, 12296, 1186, 488, 124, 132, 132, 132, 7745, 3249, 15948, 17994, 13459, 20544, 11052, 1424, 12253, 1125, 28790, 1138, 1651, 2252, 7364, 5825, 2093, 157, 1431, 1138, 1651, 1314, 30530, 1125, 17304, 4654, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1318, 10244, 1138, 1651, 1314, 30530, 1125, 17304, 4654, 3450, 4665, 1170, 10605, 192, 1533, 1233, 1588, 1362, 1170, 1874, 1125, 7207, 186, 19608, 181, 1314, 178, 1150, 1388, 17696, 1314, 23435, 1433, 184, 4058, 18604, 13870, 13651, 7207, 186, 19608, 181, 1314, 178, 1150, 10262, 16816, 1188, 19608, 3023, 1139, 3327, 15826, 244, 11565, 1424, 15539, 2074, 1888, 1197, 21761, 12412, 11505, 1134, 4741, 5863, 175, 4277, 1165, 2649, 1810, 13436, 1183, 236, 119, 1165, 2506, 1109, 1174, 4691, 1810, 1306, 4019, 1810, 2722, 1490, 248, 2086, 27746, 1124, 6266, 1810, 1198, 1172, 16410, 1167, 3728, 1126, 3981, 1165, 2649, 172, 1317, 20449, 13469, 1125, 1158, 17304, 4654, 6053, 1318, 3734, 16489, 10877, 1835, 488, 131, 123, 123, 1167, 488, 124, 131, 123, 123, 1127, 24950, 5815, 10177, 15376, 18805, 7790, 1138, 1651, 1554, 1508, 6663, 1234, 1186, 17304, 1214, 1186, 30789, 6348, 19085, 1215, 1207, 24466, 1125, 3091, 1276, 1193, 3333, 1167, 16608, 6293, 2036, 1768, 25005, 20045, 1304, 7180, 1541, 1125, 10244, 1227, 1501, 1232, 1334, 28924, 4528, 121, 4060, 5740, 1110, 7798, 2962, 1207, 28790, 2981, 1717, 1600, 3622, 31016, 1215, 29786, 9593, 1125, 7925, 1960, 1317, 3285, 1197, 25775, 1186, 2321, 1197, 6040, 13535, 25903, 1167, 3263, 20678, 10803, 7751, 1227, 15848, 1272, 7207, 1915, 1823, 21898, 1303, 1215, 1170, 2959, 11497, 1272, 1125, 1152, 13610, 3155, 1172, 1728, 1469, 1197, 28790, 23063, 30124, 1346, 1856, 1158, 1138, 4166, 10983, 13870, 12057, 1158, 1131, 181, 1390, 1125, 26274, 1362, 1207, 7502, 8115, 1167, 21179, 7474, 7502, 11181, 2097, 2040, 4428, 2124, 25374, 1158, 1408, 20845, 1299, 1158, 1138, 4166, 10983, 1125, 2076, 12238, 1314, 13870, 1731, 1309, 1170, 16082, 1478, 3155, 1172, 1728, 1125, 2989, 121, 4466, 28790, 2959, 11497, 1473, 2004, 7798, 1317, 1962, 1197, 25775, 1318, 10244, 1906, 20855, 1188, 1561, 6233, 7993, 28341, 10803, 10544, 21364, 1125, 1158, 10244, 3110, 1125, 488, 124, 131, 132, 123, 1167, 1125, 30293, 1227, 2067, 175, 2687, 1472, 13699, 12657, 4058, 1424, 2700, 1232, 1594, 1874, 5444, 1331, 5161, 3557, 1318, 10244, 16816, 1188, 19608, 3023, 7272, 1457, 9997, 2076, 1995, 488, 128, 128, 2199, 1197, 12296, 1508, 7207, 1285, 1170, 15848, 1272, 1299, 6617, 22324, 17323, 1127, 11809, 1389, 1125, 7272, 1167, 2076, 488, 126, 120, 127, 2199, 1508, 4089, 28875, 1808, 24790, 1244, 3027, 1508, 2372, 3576, 1257, 1127, 3205, 3476, 2989, 1197, 1947, 21914, 26446, 10708, 1151, 3794, 10035, 1196, 1167, 1694, 9509, 15554, 1808, 2623, 1541, 1139, 12734, 1469, 1318, 9477, 13327, 1167, 2399, 1131, 5276, 1256, 8753, 18448, 1317, 5581, 1125, 2069, 8793, 19528, 1152, 2291, 4946, 488, 124, 125, 128, 5019, 1167, 1113, 7551, 3997, 488, 127, 128, 123, 14829, 1167, 1170, 7899, 6225, 488, 124, 126, 128, 5019, 1256, 3997, 488, 129, 128, 123, 14829, 1186, 8468, 7552, 187, 19192, 14564, 2119, 1318, 10244, 26659, 1256, 1561, 20311, 119, 14238, 1303, 1256, 1561, 1111, 1987, 1389, 1167, 1170, 11231, 5777, 1125, 1638, 6631, 2093, 15539, 1915, 2072, 14515, 1856, 10187, 1125, 14743, 1167, 1915, 5518, 1189, 1996, 1125, 1158, 5210, 8921, 29628, 1125, 2372, 4048, 2399, 10825, 1318, 4556, 10979, 1125, 1441, 1365, 1167, 1125, 2515, 1272, 1469, 1189, 6844, 7648, 1186, 3734, 16489, 1632, 10803, 10244, 1299, 22150, 20212, 2009, 1188, 1222, 2719, 1128, 1383, 1575, 3002, 1109, 3366, 1189, 25326, 1286, 18279, 1186, 23777, 4123, 4994, 3450, 1299, 23995, 1960, 1167, 1915, 1281, 4097, 1107, 1125, 3663, 3277, 6596, 23399, 14333, 1199, 1186, 9108, 13003, 9770, 1643, 1152, 2291, 1110, 1189, 3040, 5777, 1125, 6904, 1214, 1197, 2623, 9484, 3450, 21801, 2519, 4556, 2102, 1833, 1348, 1167, 2335, 3040, 5777, 1125, 1152, 245, 183, 1272, 12498, 2119, 2072, 1318, 4556, 10244, 1856, 2922, 1125, 3664, 25989, 1469, 1197, 28790, 2207, 244, 1705, 2252, 1256, 1158, 20311, 1167, 1158, 1166, 10667, 10962, 1256, 1158, 4052, 1158, 1477, 1450, 1388, 16859, 24750, 12616, 5740, 1125, 7207, 186, 19608, 181, 1314, 178, 1150, 3031, 1125, 488, 12296, 1186, 488, 124, 132, 132, 132, 7745, 3249, 15948, 17994, 13459, 20544, 11052, 1424, 12253, 1125, 28790, 1138, 1651, 2252, 7364, 5825, 2093, 157, 1431, 1138, 1651, 1314, 30530, 1125, 17304, 4654, 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, 190, 1142, 9115, 1887, 1111, 1224, 1140, 2688, 1299, 1318, 16074, 1304, 5834, 23031, 1400, 24377, 26142, 1104, 1125, 1158, 4446, 1197, 1202, 190, 1142, 1259, 2244, 19609, 8509, 10995, 14564, 1567, 16074, 1299, 2283, 16738, 1125, 11053, 1186, 6105, 1105, 1234, 4654, 3450, 1281, 6666, 2079, 9161, 1475, 17089, 1510, 29227, 12616, 1734, 1301, 1431, 1125, 1158, 2820, 1378, 23532, 6661, 4946, 488, 127, 8680, 1125, 2102, 1300, 488, 125, 8680, 1167, 23258, 175, 4043, 488, 125, 8680, 1125, 2102, 8732, 1565, 1162, 17482, 1424, 1867, 21684, 1712, 120, 1891, 1109, 9070, 119, 488, 124, 132, 132, 128, 1257, 1410, 1350, 1210, 196, 1150, 7971, 1384, 3708, 176, 1161, 1135, 1459, 4891, 3486, 1183, 2496, 6054, 1175, 2233, 2988, 4735, 1576, 1410, 1248, 2949, 1328, 21433, 1161, 2397, 186, 4529, 12680, 15497, 1175, 8934, 8363, 1132, 4023, 28870, 5825, 9323, 1167, 5474, 30738, 190, 1142, 1259, 2244, 19609, 2586, 2145, 13006, 1304, 5834, 23031, 29610, 11246, 15856, 25216, 2283, 16738, 1125, 11053, 1530, 1154, 15604, 1304, 12268, 1105, 12133, 32001, 1424, 32000, 20036, 1566, 190, 1142, 9115, 1887, 1111, 1224, 1140, 2688, 1299, 1318, 16074, 1304, 5834, 23031, 1400, 24377, 26142, 1104, 1125, 1158, 4446, 1197, 1202, 190, 1142, 1259, 2244, 19609, 8509, 10995, 14564, 1567, 16074, 1299, 2283, 16738, 1125, 11053, 1186, 6105, 1105, 1234, 4654, 3450, 1281, 6666, 2079, 9161, 1475, 17089, 1510, 29227, 12616, 1734, 1301, 1431, 1125, 1158, 2820, 1378, 23532, 6661, 4946, 488, 127, 8680, 1125, 2102, 1300, 488, 125, 8680, 1167, 23258, 175, 4043, 488, 125, 8680, 1125, 2102, 8732, 1565, 1162, 17482, 1424, 1867, 21684, 1712, 120, 1891, 1109, 9070, 119, 488, 124, 132, 132, 128, 1257, 1410, 1350, 1210, 196, 1150, 7971, 1384, 3708, 176, 1161, 1135, 1459, 4891, 3486, 1183, 2496, 6054, 1175, 2233, 2988, 4735, 1576, 1410, 1248, 2949, 1328, 21433, 1161, 2397, 186, 4529, 12680, 15497, 1175, 8934, 8363, 1132, 4023, 28870, 5825, 9323, 1167, 5474, 30738, 190, 1142, 1259, 2244, 19609, 2586, 2145, 13006, 1304, 5834, 23031, 29610, 11246, 15856, 25216, 2283, 16738, 1125, 11053, 1530, 1154, 15604, 1304, 12268, 1105, 12133, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 190, 1142, 9115, 1887, 1111, 1224, 1140, 2688, 1299, 1318, 16074, 1304, 5834, 23031, 1400, 24377, 26142, 1104, 1125, 1158, 4446, 1197, 1202, 190, 1142, 1259, 2244, 19609, 8509, 10995, 14564, 1567, 16074, 1299, 2283, 16738, 1125, 11053, 1186, 6105, 1105, 1234, 4654, 3450, 1281, 6666, 2079, 9161, 1475, 17089, 1510, 29227, 12616, 1734, 1301, 1431, 1125, 1158, 2820, 1378, 23532, 6661, 4946, 488, 127, 8680, 1125, 2102, 1300, 488, 125, 8680, 1167, 23258, 175, 4043, 488, 125, 8680, 1125, 2102, 8732, 1565, 1162, 17482, 1424, 1867, 21684, 1712, 120, 1891, 1109, 9070, 119, 488, 124, 132, 132, 128, 1257, 1410, 1350, 1210, 196, 1150, 7971, 1384, 3708, 176, 1161, 1135, 1459, 4891, 3486, 1183, 2496, 6054, 1175, 2233, 2988, 4735, 1576, 1410, 1248, 2949, 1328, 21433, 1161, 2397, 186, 4529, 12680, 15497, 1175, 8934, 8363, 1132, 4023, 28870, 5825, 9323, 1167, 5474, 30738, 190, 1142, 1259, 2244, 19609, 2586, 2145, 13006, 1304, 5834, 23031, 29610, 11246, 15856, 25216, 2283, 16738, 1125, 11053, 1530, 1154, 15604, 1304, 12268, 1105, 12133, 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, 254, 189, 254, 16075, 1136, 1606, 488, 254, 189, 1524, 25691, 5544, 1300, 185, 23726, 1545, 1121, 7776, 4819, 1545, 4834, 1198, 1190, 29325, 5252, 1170, 488, 124, 123, 2749, 488, 124, 132, 127, 123, 1167, 4541, 1170, 488, 124, 128, 2584, 488, 124, 132, 132, 132, 1188, 1863, 196, 182, 14880, 2461, 119, 1299, 1189, 10952, 4578, 1167, 8946, 12243, 13798, 1298, 1125, 7711, 25886, 4096, 2093, 141, 6991, 8718, 1561, 9245, 1125, 2222, 1836, 1317, 1518, 157, 1863, 196, 182, 14880, 2461, 119, 5878, 1125, 1561, 3837, 23082, 3701, 1186, 488, 124, 132, 128, 131, 121, 30322, 2222, 1836, 1227, 16277, 1186, 488, 124, 132, 128, 132, 119, 488, 124, 132, 129, 123, 1167, 488, 124, 132, 129, 124, 17877, 488, 127, 125, 25460, 2391, 1125, 1909, 3203, 8091, 6586, 1285, 1186, 1382, 1408, 1125, 488, 126, 123, 20825, 1496, 1527, 18900, 1170, 16277, 1186, 488, 124, 132, 128, 132, 17877, 488, 124, 123, 13501, 3327, 1186, 488, 124, 123, 20825, 1496, 1158, 11609, 1186, 488, 124, 132, 129, 123, 1167, 1170, 19410, 244, 11609, 9037, 1916, 11249, 9911, 10549, 121, 4444, 488, 124, 132, 129, 124, 119, 1527, 16773, 1170, 5878, 2609, 3377, 1298, 1125, 3281, 26508, 17644, 2585, 1527, 7354, 1170, 6311, 4981, 24981, 13798, 1298, 1188, 5887, 5843, 121, 2093, 17971, 1836, 1186, 3203, 26940, 1125, 488, 125, 128, 25460, 1186, 488, 131, 123, 20825, 1125, 16277, 1283, 224, 12945, 5650, 18640, 6005, 10952, 1227, 5878, 1186, 488, 124, 132, 129, 125, 120, 124, 132, 129, 126, 119, 1527, 1299, 9948, 1178, 244, 1215, 1170, 1248, 27644, 1252, 7440, 1170, 1408, 2511, 5878, 1227, 14661, 1186, 2584, 488, 124, 132, 129, 127, 121, 20546, 488, 124, 132, 129, 129, 119, 1527, 1910, 1186, 6556, 1317, 13054, 7839, 2765, 2585, 1527, 1288, 10809, 11471, 2958, 15604, 1125, 20825, 2567, 1125, 12533, 1207, 24884, 2585, 1299, 10152, 1303, 1186, 488, 124, 132, 129, 130, 1158, 4966, 27309, 1173, 25439, 11859, 121, 1768, 10809, 1318, 6586, 2290, 1170, 1423, 26170, 1197, 10315, 7422, 9099, 1297, 1768, 14065, 12048, 1186, 488, 124, 132, 129, 131, 1317, 1518, 157, 1863, 196, 182, 14880, 2461, 1469, 6640, 1527, 18900, 1170, 16277, 1186, 488, 124, 132, 129, 131, 1167, 20235, 1561, 9245, 1125, 10952, 7745, 7771, 6968, 1188, 11400, 21402, 1186, 4924, 5277, 1835, 488, 124, 132, 128, 132, 1167, 488, 124, 132, 129, 132, 119, 1527, 1251, 1110, 22190, 7762, 25460, 1167, 1186, 1299, 1170, 25468, 5999, 2768, 31265, 8317, 8946, 12243, 2750, 1561, 11521, 1125, 10952, 119, 28807, 10452, 3747, 1282, 141, 1352, 1182, 1712, 7243, 2839, 8051, 1186, 488, 124, 132, 130, 123, 1388, 2003, 12224, 1424, 488, 124, 132, 128, 131, 120, 124, 132, 129, 124, 1257, 6546, 150, 157, 1863, 196, 182, 14880, 2461, 1175, 127, 129, 1663, 7499, 488, 124, 132, 129, 124, 120, 124, 132, 129, 127, 1257, 10315, 26508, 3099, 1175, 131, 123, 3904, 1285, 488, 125, 128, 1663, 7499, 488, 124, 132, 129, 127, 120, 124, 132, 129, 129, 1257, 1248, 27644, 13054, 1175, 124, 124, 3904, 1285, 488, 125, 1663, 7499, 488, 124, 132, 129, 129, 120, 124, 132, 129, 130, 1257, 13054, 7839, 1108, 1175, 130, 3904, 1285, 488, 124, 1663, 1260, 488, 124, 132, 129, 130, 1257, 10315, 7422, 31899, 1175, 124, 124, 3904, 1285, 488, 125, 1663, 7499, 488, 124, 132, 129, 131, 1257, 1518, 157, 1863, 196, 182, 14880, 2461, 15948, 7364, 5825, 28912, 2836, 24981, 4578, 13798, 1298, 1194, 149, 12590, 1227, 1518, 157, 1863, 196, 182, 14880, 2461, 1175, 13620, 3891, 1718, 149, 12590, 1227, 1753, 26508, 3099, 13054, 1194, 149, 12590, 1227, 1248, 27644, 13054, 1194, 149, 12590, 1227, 17295, 7879, 1125, 7839, 1108, 29515, 1935, 249, 12243, 13798, 1298, 1125, 7711, 4713, 3400, 1188, 1863, 196, 182, 14880, 2461, 4713, 3400, 1186, 2749, 488, 124, 132, 127, 123, 13776, 1416, 1467, 1188, 1863, 196, 182, 14880, 2461, 13776, 1416, 1467, 1186, 2584, 488, 124, 132, 132, 132, 13776, 1416, 1467, 1188, 488, 128, 132, 2165, 114, 32001, 1424, 32000, 20036, 24623, 254, 189, 254, 16075, 1136, 1606, 488, 254, 189, 1524, 25691, 5544, 1300, 185, 23726, 1545, 1121, 7776, 4819, 1545, 4834, 1198, 1190, 29325, 5252, 1170, 488, 124, 123, 2749, 488, 124, 132, 127, 123, 1167, 4541, 1170, 488, 124, 128, 2584, 488, 124, 132, 132, 132, 1188, 1863, 196, 182, 14880, 2461, 119, 1299, 1189, 10952, 4578, 1167, 8946, 12243, 13798, 1298, 1125, 7711, 25886, 4096, 2093, 141, 6991, 8718, 1561, 9245, 1125, 2222, 1836, 1317, 1518, 157, 1863, 196, 182, 14880, 2461, 119, 5878, 1125, 1561, 3837, 23082, 3701, 1186, 488, 124, 132, 128, 131, 121, 30322, 2222, 1836, 1227, 16277, 1186, 488, 124, 132, 128, 132, 119, 488, 124, 132, 129, 123, 1167, 488, 124, 132, 129, 124, 17877, 488, 127, 125, 25460, 2391, 1125, 1909, 3203, 8091, 6586, 1285, 1186, 1382, 1408, 1125, 488, 126, 123, 20825, 1496, 1527, 18900, 1170, 16277, 1186, 488, 124, 132, 128, 132, 17877, 488, 124, 123, 13501, 3327, 1186, 488, 124, 123, 20825, 1496, 1158, 11609, 1186, 488, 124, 132, 129, 123, 1167, 1170, 19410, 244, 11609, 9037, 1916, 11249, 9911, 10549, 121, 4444, 488, 124, 132, 129, 124, 119, 1527, 16773, 1170, 5878, 2609, 3377, 1298, 1125, 3281, 26508, 17644, 2585, 1527, 7354, 1170, 6311, 4981, 24981, 13798, 1298, 1188, 5887, 5843, 121, 2093, 17971, 1836, 1186, 3203, 26940, 1125, 488, 125, 128, 25460, 1186, 488, 131, 123, 20825, 1125, 16277, 1283, 224, 12945, 5650, 18640, 6005, 10952, 1227, 5878, 1186, 488, 124, 132, 129, 125, 120, 124, 132, 129, 126, 119, 1527, 1299, 9948, 1178, 244, 1215, 1170, 1248, 27644, 1252, 7440, 1170, 1408, 2511, 5878, 1227, 14661, 1186, 2584, 488, 124, 132, 129, 127, 121, 20546, 488, 124, 132, 129, 129, 119, 1527, 1910, 1186, 6556, 1317, 13054, 7839, 2765, 2585, 1527, 1288, 10809, 11471, 2958, 15604, 1125, 20825, 2567, 1125, 12533, 1207, 24884, 2585, 1299, 10152, 1303, 1186, 488, 124, 132, 129, 130, 1158, 4966, 27309, 1173, 25439, 11859, 121, 1768, 10809, 1318, 6586, 2290, 1170, 1423, 26170, 1197, 10315, 7422, 9099, 1297, 1768, 14065, 12048, 1186, 488, 124, 132, 129, 131, 1317, 1518, 157, 1863, 196, 182, 14880, 2461, 1469, 6640, 1527, 18900, 1170, 16277, 1186, 488, 124, 132, 129, 131, 1167, 20235, 1561, 9245, 1125, 10952, 7745, 7771, 6968, 1188, 11400, 21402, 1186, 4924, 5277, 1835, 488, 124, 132, 128, 132, 1167, 488, 124, 132, 129, 132, 119, 1527, 1251, 1110, 22190, 7762, 25460, 1167, 1186, 1299, 1170, 25468, 5999, 2768, 31265, 8317, 8946, 12243, 2750, 1561, 11521, 1125, 10952, 119, 28807, 10452, 3747, 1282, 141, 1352, 1182, 1712, 7243, 2839, 8051, 1186, 488, 124, 132, 130, 123, 1388, 2003, 12224, 1424, 488, 124, 132, 128, 131, 120, 124, 132, 129, 124, 1257, 6546, 150, 157, 1863, 196, 182, 14880, 2461, 1175, 127, 129, 1663, 7499, 488, 124, 132, 129, 124, 120, 124, 132, 129, 127, 1257, 10315, 26508, 3099, 1175, 131, 123, 3904, 1285, 488, 125, 128, 1663, 7499, 488, 124, 132, 129, 127, 120, 124, 132, 129, 129, 1257, 1248, 27644, 13054, 1175, 124, 124, 3904, 1285, 488, 125, 1663, 7499, 488, 124, 132, 129, 129, 120, 124, 132, 129, 130, 1257, 13054, 7839, 1108, 1175, 130, 3904, 1285, 488, 124, 1663, 1260, 488, 124, 132, 129, 130, 1257, 10315, 7422, 31899, 1175, 124, 124, 3904, 1285, 488, 125, 1663, 7499, 488, 124, 132, 129, 131, 1257, 1518, 157, 1863, 196, 182, 14880, 2461, 15948, 7364, 5825, 28912, 2836, 24981, 4578, 13798, 1298, 1194, 149, 12590, 1227, 1518, 157, 1863, 196, 182, 14880, 2461, 1175, 13620, 3891, 1718, 149, 12590, 1227, 1753, 26508, 3099, 13054, 1194, 149, 12590, 1227, 1248, 27644, 13054, 1194, 149, 12590, 1227, 17295, 7879, 1125, 7839, 1108, 29515, 1935, 249, 12243, 13798, 1298, 1125, 7711, 4713, 3400, 1188, 1863, 196, 182, 14880, 2461, 4713, 3400, 1186, 2749, 488, 124, 132, 127, 123, 13776, 1416, 1467, 1188, 1863, 196, 182, 14880, 2461, 13776, 1416, 1467, 1186, 2584, 488, 124, 132, 132, 132, 13776, 1416, 1467, 1188, 488, 128, 132, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 254, 189, 254, 16075, 1136, 1606, 488, 254, 189, 1524, 25691, 5544, 1300, 185, 23726, 1545, 1121, 7776, 4819, 1545, 4834, 1198, 1190, 29325, 5252, 1170, 488, 124, 123, 2749, 488, 124, 132, 127, 123, 1167, 4541, 1170, 488, 124, 128, 2584, 488, 124, 132, 132, 132, 1188, 1863, 196, 182, 14880, 2461, 119, 1299, 1189, 10952, 4578, 1167, 8946, 12243, 13798, 1298, 1125, 7711, 25886, 4096, 2093, 141, 6991, 8718, 1561, 9245, 1125, 2222, 1836, 1317, 1518, 157, 1863, 196, 182, 14880, 2461, 119, 5878, 1125, 1561, 3837, 23082, 3701, 1186, 488, 124, 132, 128, 131, 121, 30322, 2222, 1836, 1227, 16277, 1186, 488, 124, 132, 128, 132, 119, 488, 124, 132, 129, 123, 1167, 488, 124, 132, 129, 124, 17877, 488, 127, 125, 25460, 2391, 1125, 1909, 3203, 8091, 6586, 1285, 1186, 1382, 1408, 1125, 488, 126, 123, 20825, 1496, 1527, 18900, 1170, 16277, 1186, 488, 124, 132, 128, 132, 17877, 488, 124, 123, 13501, 3327, 1186, 488, 124, 123, 20825, 1496, 1158, 11609, 1186, 488, 124, 132, 129, 123, 1167, 1170, 19410, 244, 11609, 9037, 1916, 11249, 9911, 10549, 121, 4444, 488, 124, 132, 129, 124, 119, 1527, 16773, 1170, 5878, 2609, 3377, 1298, 1125, 3281, 26508, 17644, 2585, 1527, 7354, 1170, 6311, 4981, 24981, 13798, 1298, 1188, 5887, 5843, 121, 2093, 17971, 1836, 1186, 3203, 26940, 1125, 488, 125, 128, 25460, 1186, 488, 131, 123, 20825, 1125, 16277, 1283, 224, 12945, 5650, 18640, 6005, 10952, 1227, 5878, 1186, 488, 124, 132, 129, 125, 120, 124, 132, 129, 126, 119, 1527, 1299, 9948, 1178, 244, 1215, 1170, 1248, 27644, 1252, 7440, 1170, 1408, 2511, 5878, 1227, 14661, 1186, 2584, 488, 124, 132, 129, 127, 121, 20546, 488, 124, 132, 129, 129, 119, 1527, 1910, 1186, 6556, 1317, 13054, 7839, 2765, 2585, 1527, 1288, 10809, 11471, 2958, 15604, 1125, 20825, 2567, 1125, 12533, 1207, 24884, 2585, 1299, 10152, 1303, 1186, 488, 124, 132, 129, 130, 1158, 4966, 27309, 1173, 25439, 11859, 121, 1768, 10809, 1318, 6586, 2290, 1170, 1423, 26170, 1197, 10315, 7422, 9099, 1297, 1768, 14065, 12048, 1186, 488, 124, 132, 129, 131, 1317, 1518, 157, 1863, 196, 182, 14880, 2461, 1469, 6640, 1527, 18900, 1170, 16277, 1186, 488, 124, 132, 129, 131, 1167, 20235, 1561, 9245, 1125, 10952, 7745, 7771, 6968, 1188, 11400, 21402, 1186, 4924, 5277, 1835, 488, 124, 132, 128, 132, 1167, 488, 124, 132, 129, 132, 119, 1527, 1251, 1110, 22190, 7762, 25460, 1167, 1186, 1299, 1170, 25468, 5999, 2768, 31265, 8317, 8946, 12243, 2750, 1561, 11521, 1125, 10952, 119, 28807, 10452, 3747, 1282, 141, 1352, 1182, 1712, 7243, 2839, 8051, 1186, 488, 124, 132, 130, 123, 1388, 2003, 12224, 1424, 488, 124, 132, 128, 131, 120, 124, 132, 129, 124, 1257, 6546, 150, 157, 1863, 196, 182, 14880, 2461, 1175, 127, 129, 1663, 7499, 488, 124, 132, 129, 124, 120, 124, 132, 129, 127, 1257, 10315, 26508, 3099, 1175, 131, 123, 3904, 1285, 488, 125, 128, 1663, 7499, 488, 124, 132, 129, 127, 120, 124, 132, 129, 129, 1257, 1248, 27644, 13054, 1175, 124, 124, 3904, 1285, 488, 125, 1663, 7499, 488, 124, 132, 129, 129, 120, 124, 132, 129, 130, 1257, 13054, 7839, 1108, 1175, 130, 3904, 1285, 488, 124, 1663, 1260, 488, 124, 132, 129, 130, 1257, 10315, 7422, 31899, 1175, 124, 124, 3904, 1285, 488, 125, 1663, 7499, 488, 124, 132, 129, 131, 1257, 1518, 157, 1863, 196, 182, 14880, 2461, 15948, 7364, 5825, 28912, 2836, 24981, 4578, 13798, 1298, 1194, 149, 12590, 1227, 1518, 157, 1863, 196, 182, 14880, 2461, 1175, 13620, 3891, 1718, 149, 12590, 1227, 1753, 26508, 3099, 13054, 1194, 149, 12590, 1227, 1248, 27644, 13054, 1194, 149, 12590, 1227, 17295, 7879, 1125, 7839, 1108, 29515, 1935, 249, 12243, 13798, 1298, 1125, 7711, 4713, 3400, 1188, 1863, 196, 182, 14880, 2461, 4713, 3400, 1186, 2749, 488, 124, 132, 127, 123, 13776, 1416, 1467, 1188, 1863, 196, 182, 14880, 2461, 13776, 1416, 1467, 1186, 2584, 488, 124, 132, 132, 132, 13776, 1416, 1467, 1188, 488, 128, 132, 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, 18805, 9378, 193, 241, 191, 3932, 16900, 30352, 1953, 1125, 1158, 7877, 15198, 1508, 1197, 30352, 1953, 1125, 1158, 7877, 1313, 1158, 15150, 4058, 10724, 1331, 5161, 1313, 1170, 5252, 1273, 23188, 2923, 1185, 5597, 3725, 1167, 1207, 24687, 1227, 1222, 4000, 1176, 2923, 13924, 3377, 21194, 4651, 6262, 3102, 1129, 1167, 7039, 10399, 25240, 4084, 1197, 23496, 10048, 2585, 3342, 7184, 3310, 1357, 2830, 1823, 2072, 4170, 11471, 22600, 1362, 1189, 14757, 2335, 4322, 119, 1362, 6596, 1856, 1318, 3247, 2335, 3293, 10803, 3020, 1197, 9378, 193, 241, 191, 3932, 14782, 19967, 2004, 5251, 5364, 1309, 1207, 9378, 193, 241, 191, 3932, 1508, 27220, 1313, 1158, 3020, 1856, 1207, 30352, 1953, 1197, 4541, 1285, 1723, 5610, 1207, 2004, 5924, 11925, 6235, 1856, 1197, 30352, 1953, 1125, 1158, 18084, 1734, 3342, 23236, 7008, 1313, 1197, 19602, 1357, 14255, 4550, 1913, 1996, 1291, 1473, 1388, 149, 257, 6619, 2506, 1136, 1459, 15094, 21586, 2765, 7271, 2511, 1268, 1640, 1125, 1282, 217, 190, 1128, 189, 260, 1124, 177, 1819, 16050, 251, 119, 1110, 12683, 1309, 1207, 9378, 193, 241, 191, 3932, 1508, 1197, 1606, 30352, 1953, 1167, 1309, 4345, 8441, 19561, 2442, 1158, 3789, 1125, 1158, 27069, 1158, 4014, 1401, 1348, 1125, 1158, 7877, 1167, 2442, 1125, 3011, 4821, 2616, 13419, 3342, 1508, 1606, 12006, 1188, 1318, 2320, 1313, 1170, 3293, 3301, 1188, 1189, 25305, 1708, 1210, 1659, 1188, 1318, 16489, 1362, 1188, 1189, 3601, 21954, 16756, 1524, 1167, 1440, 3601, 1281, 28606, 1186, 6058, 1408, 5188, 1309, 5610, 10803, 14694, 1336, 1300, 1207, 9378, 193, 241, 191, 3932, 11349, 5909, 2320, 1186, 3122, 15613, 119, 1469, 6344, 4014, 1623, 4716, 1197, 1708, 2942, 1300, 12286, 1207, 4661, 1288, 1508, 1382, 28818, 1188, 3227, 1657, 13040, 1158, 4971, 3031, 1300, 1170, 2151, 1125, 3175, 26254, 1300, 1158, 2989, 27465, 1125, 8353, 2307, 1342, 248, 5544, 1170, 2714, 1724, 20534, 13798, 1298, 1110, 8014, 10248, 2519, 4875, 1357, 1299, 18937, 2435, 7282, 1125, 2827, 15423, 1170, 19444, 2335, 1708, 1210, 1659, 1125, 5518, 1170, 2658, 1125, 1561, 4446, 1188, 3175, 1538, 9849, 1768, 11341, 1844, 3672, 2069, 3405, 20585, 1186, 3257, 1123, 1197, 4894, 1420, 8403, 1346, 7328, 1440, 7230, 1152, 3556, 1188, 2435, 1313, 1189, 3419, 13633, 1186, 2435, 27988, 1309, 1170, 9378, 193, 241, 191, 3932, 3031, 1921, 121, 4787, 3213, 7779, 1508, 7008, 8337, 1313, 1207, 10910, 1256, 1207, 18645, 1285, 7706, 1309, 22421, 173, 260, 2433, 488, 217, 189, 1724, 251, 189, 1167, 3621, 236, 1724, 251, 11186, 1723, 1527, 1251, 1110, 1318, 6216, 1197, 9641, 1298, 2260, 9037, 1568, 13173, 10562, 1199, 1197, 1684, 8539, 1104, 9612, 1160, 1571, 9378, 193, 241, 191, 1117, 3435, 3762, 1189, 3477, 1125, 1306, 1334, 3583, 173, 254, 5544, 1189, 2682, 17215, 14224, 3718, 3221, 1197, 11064, 2984, 2714, 1606, 1207, 5247, 20552, 3016, 1524, 1357, 29252, 1571, 1708, 2942, 1125, 1158, 26492, 1256, 10022, 3278, 1207, 9378, 193, 241, 191, 3932, 1313, 18740, 1445, 9033, 9377, 1473, 2335, 12975, 1272, 1223, 2145, 1450, 22341, 1507, 11393, 1167, 11520, 1197, 19602, 3559, 3451, 1125, 1282, 18956, 1197, 9641, 7655, 7940, 1161, 1173, 1706, 15497, 22203, 1309, 20774, 3090, 1304, 5018, 15613, 1597, 5746, 1370, 11884, 1318, 1268, 15167, 1186, 4438, 1125, 11459, 1105, 1300, 1594, 3202, 6785, 1313, 1170, 2515, 1362, 1125, 8920, 1188, 1158, 7877, 1606, 1469, 1158, 18074, 1138, 244, 2009, 1362, 1127, 1632, 1334, 1138, 244, 1199, 3133, 1734, 1207, 9378, 193, 241, 191, 3932, 13267, 1823, 1821, 2091, 1234, 12825, 5999, 9378, 193, 241, 191, 3932, 1125, 1282, 5018, 15613, 2576, 5018, 15613, 1299, 11551, 1303, 1215, 5999, 6804, 24526, 12581, 1357, 1508, 27220, 1856, 1207, 5999, 9378, 193, 241, 191, 3932, 12825, 5999, 9378, 193, 241, 191, 3932, 1508, 10125, 29884, 1856, 1207, 2889, 174, 3051, 1197, 5999, 24808, 1304, 5018, 15613, 1257, 1170, 11459, 1105, 6047, 1112, 7901, 116, 1313, 1170, 6973, 7480, 17936, 11341, 1205, 1126, 1362, 17895, 1319, 1105, 7194, 6381, 1136, 116, 1313, 1170, 6973, 9081, 192, 7965, 1170, 7899, 6225, 7194, 1164, 251, 3513, 1136, 116, 1313, 1170, 6455, 9081, 192, 7965, 1167, 1170, 6431, 1199, 5867, 1107, 2318, 1120, 9630, 1313, 1170, 6455, 30967, 12825, 5999, 9378, 193, 241, 191, 3932, 1125, 1282, 5018, 15613, 1508, 4018, 1234, 1300, 1207, 15005, 1593, 3992, 1125, 1282, 5018, 15613, 1167, 1300, 16135, 2094, 1197, 4370, 14433, 1158, 4307, 1767, 13798, 4964, 24890, 1194, 125, 121, 3091, 1577, 172, 1293, 12008, 1146, 1810, 23479, 27761, 22809, 1175, 124, 132, 123, 123, 1718, 126, 121, 13318, 7474, 16790, 23384, 1222, 4000, 1176, 16183, 12282, 1306, 1224, 1175, 125, 123, 124, 128, 1718, 152, 3771, 4058, 10724, 25227, 32001, 1424, 32000, 20036, 2608, 9378, 193, 241, 191, 3932, 16900, 30352, 1953, 1125, 1158, 7877, 15198, 1508, 1197, 30352, 1953, 1125, 1158, 7877, 1313, 1158, 15150, 4058, 10724, 1331, 5161, 1313, 1170, 5252, 1273, 23188, 2923, 1185, 5597, 3725, 1167, 1207, 24687, 1227, 1222, 4000, 1176, 2923, 13924, 3377, 21194, 4651, 6262, 3102, 1129, 1167, 7039, 10399, 25240, 4084, 1197, 23496, 10048, 2585, 3342, 7184, 3310, 1357, 2830, 1823, 2072, 4170, 11471, 22600, 1362, 1189, 14757, 2335, 4322, 119, 1362, 6596, 1856, 1318, 3247, 2335, 3293, 10803, 3020, 1197, 9378, 193, 241, 191, 3932, 14782, 19967, 2004, 5251, 5364, 1309, 1207, 9378, 193, 241, 191, 3932, 1508, 27220, 1313, 1158, 3020, 1856, 1207, 30352, 1953, 1197, 4541, 1285, 1723, 5610, 1207, 2004, 5924, 11925, 6235, 1856, 1197, 30352, 1953, 1125, 1158, 18084, 1734, 3342, 23236, 7008, 1313, 1197, 19602, 1357, 14255, 4550, 1913, 1996, 1291, 1473, 1388, 149, 257, 6619, 2506, 1136, 1459, 15094, 21586, 2765, 7271, 2511, 1268, 1640, 1125, 1282, 217, 190, 1128, 189, 260, 1124, 177, 1819, 16050, 251, 119, 1110, 12683, 1309, 1207, 9378, 193, 241, 191, 3932, 1508, 1197, 1606, 30352, 1953, 1167, 1309, 4345, 8441, 19561, 2442, 1158, 3789, 1125, 1158, 27069, 1158, 4014, 1401, 1348, 1125, 1158, 7877, 1167, 2442, 1125, 3011, 4821, 2616, 13419, 3342, 1508, 1606, 12006, 1188, 1318, 2320, 1313, 1170, 3293, 3301, 1188, 1189, 25305, 1708, 1210, 1659, 1188, 1318, 16489, 1362, 1188, 1189, 3601, 21954, 16756, 1524, 1167, 1440, 3601, 1281, 28606, 1186, 6058, 1408, 5188, 1309, 5610, 10803, 14694, 1336, 1300, 1207, 9378, 193, 241, 191, 3932, 11349, 5909, 2320, 1186, 3122, 15613, 119, 1469, 6344, 4014, 1623, 4716, 1197, 1708, 2942, 1300, 12286, 1207, 4661, 1288, 1508, 1382, 28818, 1188, 3227, 1657, 13040, 1158, 4971, 3031, 1300, 1170, 2151, 1125, 3175, 26254, 1300, 1158, 2989, 27465, 1125, 8353, 2307, 1342, 248, 5544, 1170, 2714, 1724, 20534, 13798, 1298, 1110, 8014, 10248, 2519, 4875, 1357, 1299, 18937, 2435, 7282, 1125, 2827, 15423, 1170, 19444, 2335, 1708, 1210, 1659, 1125, 5518, 1170, 2658, 1125, 1561, 4446, 1188, 3175, 1538, 9849, 1768, 11341, 1844, 3672, 2069, 3405, 20585, 1186, 3257, 1123, 1197, 4894, 1420, 8403, 1346, 7328, 1440, 7230, 1152, 3556, 1188, 2435, 1313, 1189, 3419, 13633, 1186, 2435, 27988, 1309, 1170, 9378, 193, 241, 191, 3932, 3031, 1921, 121, 4787, 3213, 7779, 1508, 7008, 8337, 1313, 1207, 10910, 1256, 1207, 18645, 1285, 7706, 1309, 22421, 173, 260, 2433, 488, 217, 189, 1724, 251, 189, 1167, 3621, 236, 1724, 251, 11186, 1723, 1527, 1251, 1110, 1318, 6216, 1197, 9641, 1298, 2260, 9037, 1568, 13173, 10562, 1199, 1197, 1684, 8539, 1104, 9612, 1160, 1571, 9378, 193, 241, 191, 1117, 3435, 3762, 1189, 3477, 1125, 1306, 1334, 3583, 173, 254, 5544, 1189, 2682, 17215, 14224, 3718, 3221, 1197, 11064, 2984, 2714, 1606, 1207, 5247, 20552, 3016, 1524, 1357, 29252, 1571, 1708, 2942, 1125, 1158, 26492, 1256, 10022, 3278, 1207, 9378, 193, 241, 191, 3932, 1313, 18740, 1445, 9033, 9377, 1473, 2335, 12975, 1272, 1223, 2145, 1450, 22341, 1507, 11393, 1167, 11520, 1197, 19602, 3559, 3451, 1125, 1282, 18956, 1197, 9641, 7655, 7940, 1161, 1173, 1706, 15497, 22203, 1309, 20774, 3090, 1304, 5018, 15613, 1597, 5746, 1370, 11884, 1318, 1268, 15167, 1186, 4438, 1125, 11459, 1105, 1300, 1594, 3202, 6785, 1313, 1170, 2515, 1362, 1125, 8920, 1188, 1158, 7877, 1606, 1469, 1158, 18074, 1138, 244, 2009, 1362, 1127, 1632, 1334, 1138, 244, 1199, 3133, 1734, 1207, 9378, 193, 241, 191, 3932, 13267, 1823, 1821, 2091, 1234, 12825, 5999, 9378, 193, 241, 191, 3932, 1125, 1282, 5018, 15613, 2576, 5018, 15613, 1299, 11551, 1303, 1215, 5999, 6804, 24526, 12581, 1357, 1508, 27220, 1856, 1207, 5999, 9378, 193, 241, 191, 3932, 12825, 5999, 9378, 193, 241, 191, 3932, 1508, 10125, 29884, 1856, 1207, 2889, 174, 3051, 1197, 5999, 24808, 1304, 5018, 15613, 1257, 1170, 11459, 1105, 6047, 1112, 7901, 116, 1313, 1170, 6973, 7480, 17936, 11341, 1205, 1126, 1362, 17895, 1319, 1105, 7194, 6381, 1136, 116, 1313, 1170, 6973, 9081, 192, 7965, 1170, 7899, 6225, 7194, 1164, 251, 3513, 1136, 116, 1313, 1170, 6455, 9081, 192, 7965, 1167, 1170, 6431, 1199, 5867, 1107, 2318, 1120, 9630, 1313, 1170, 6455, 30967, 12825, 5999, 9378, 193, 241, 191, 3932, 1125, 1282, 5018, 15613, 1508, 4018, 1234, 1300, 1207, 15005, 1593, 3992, 1125, 1282, 5018, 15613, 1167, 1300, 16135, 2094, 1197, 4370, 14433, 1158, 4307, 1767, 13798, 4964, 24890, 1194, 125, 121, 3091, 1577, 172, 1293, 12008, 1146, 1810, 23479, 27761, 22809, 1175, 124, 132, 123, 123, 1718, 126, 121, 13318, 7474, 16790, 23384, 1222, 4000, 1176, 16183, 12282, 1306, 1224, 1175, 125, 123, 124, 128, 1718, 152, 3771, 4058, 10724, 25227, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 9378, 193, 241, 191, 3932, 16900, 30352, 1953, 1125, 1158, 7877, 15198, 1508, 1197, 30352, 1953, 1125, 1158, 7877, 1313, 1158, 15150, 4058, 10724, 1331, 5161, 1313, 1170, 5252, 1273, 23188, 2923, 1185, 5597, 3725, 1167, 1207, 24687, 1227, 1222, 4000, 1176, 2923, 13924, 3377, 21194, 4651, 6262, 3102, 1129, 1167, 7039, 10399, 25240, 4084, 1197, 23496, 10048, 2585, 3342, 7184, 3310, 1357, 2830, 1823, 2072, 4170, 11471, 22600, 1362, 1189, 14757, 2335, 4322, 119, 1362, 6596, 1856, 1318, 3247, 2335, 3293, 10803, 3020, 1197, 9378, 193, 241, 191, 3932, 14782, 19967, 2004, 5251, 5364, 1309, 1207, 9378, 193, 241, 191, 3932, 1508, 27220, 1313, 1158, 3020, 1856, 1207, 30352, 1953, 1197, 4541, 1285, 1723, 5610, 1207, 2004, 5924, 11925, 6235, 1856, 1197, 30352, 1953, 1125, 1158, 18084, 1734, 3342, 23236, 7008, 1313, 1197, 19602, 1357, 14255, 4550, 1913, 1996, 1291, 1473, 1388, 149, 257, 6619, 2506, 1136, 1459, 15094, 21586, 2765, 7271, 2511, 1268, 1640, 1125, 1282, 217, 190, 1128, 189, 260, 1124, 177, 1819, 16050, 251, 119, 1110, 12683, 1309, 1207, 9378, 193, 241, 191, 3932, 1508, 1197, 1606, 30352, 1953, 1167, 1309, 4345, 8441, 19561, 2442, 1158, 3789, 1125, 1158, 27069, 1158, 4014, 1401, 1348, 1125, 1158, 7877, 1167, 2442, 1125, 3011, 4821, 2616, 13419, 3342, 1508, 1606, 12006, 1188, 1318, 2320, 1313, 1170, 3293, 3301, 1188, 1189, 25305, 1708, 1210, 1659, 1188, 1318, 16489, 1362, 1188, 1189, 3601, 21954, 16756, 1524, 1167, 1440, 3601, 1281, 28606, 1186, 6058, 1408, 5188, 1309, 5610, 10803, 14694, 1336, 1300, 1207, 9378, 193, 241, 191, 3932, 11349, 5909, 2320, 1186, 3122, 15613, 119, 1469, 6344, 4014, 1623, 4716, 1197, 1708, 2942, 1300, 12286, 1207, 4661, 1288, 1508, 1382, 28818, 1188, 3227, 1657, 13040, 1158, 4971, 3031, 1300, 1170, 2151, 1125, 3175, 26254, 1300, 1158, 2989, 27465, 1125, 8353, 2307, 1342, 248, 5544, 1170, 2714, 1724, 20534, 13798, 1298, 1110, 8014, 10248, 2519, 4875, 1357, 1299, 18937, 2435, 7282, 1125, 2827, 15423, 1170, 19444, 2335, 1708, 1210, 1659, 1125, 5518, 1170, 2658, 1125, 1561, 4446, 1188, 3175, 1538, 9849, 1768, 11341, 1844, 3672, 2069, 3405, 20585, 1186, 3257, 1123, 1197, 4894, 1420, 8403, 1346, 7328, 1440, 7230, 1152, 3556, 1188, 2435, 1313, 1189, 3419, 13633, 1186, 2435, 27988, 1309, 1170, 9378, 193, 241, 191, 3932, 3031, 1921, 121, 4787, 3213, 7779, 1508, 7008, 8337, 1313, 1207, 10910, 1256, 1207, 18645, 1285, 7706, 1309, 22421, 173, 260, 2433, 488, 217, 189, 1724, 251, 189, 1167, 3621, 236, 1724, 251, 11186, 1723, 1527, 1251, 1110, 1318, 6216, 1197, 9641, 1298, 2260, 9037, 1568, 13173, 10562, 1199, 1197, 1684, 8539, 1104, 9612, 1160, 1571, 9378, 193, 241, 191, 1117, 3435, 3762, 1189, 3477, 1125, 1306, 1334, 3583, 173, 254, 5544, 1189, 2682, 17215, 14224, 3718, 3221, 1197, 11064, 2984, 2714, 1606, 1207, 5247, 20552, 3016, 1524, 1357, 29252, 1571, 1708, 2942, 1125, 1158, 26492, 1256, 10022, 3278, 1207, 9378, 193, 241, 191, 3932, 1313, 18740, 1445, 9033, 9377, 1473, 2335, 12975, 1272, 1223, 2145, 1450, 22341, 1507, 11393, 1167, 11520, 1197, 19602, 3559, 3451, 1125, 1282, 18956, 1197, 9641, 7655, 7940, 1161, 1173, 1706, 15497, 22203, 1309, 20774, 3090, 1304, 5018, 15613, 1597, 5746, 1370, 11884, 1318, 1268, 15167, 1186, 4438, 1125, 11459, 1105, 1300, 1594, 3202, 6785, 1313, 1170, 2515, 1362, 1125, 8920, 1188, 1158, 7877, 1606, 1469, 1158, 18074, 1138, 244, 2009, 1362, 1127, 1632, 1334, 1138, 244, 1199, 3133, 1734, 1207, 9378, 193, 241, 191, 3932, 13267, 1823, 1821, 2091, 1234, 12825, 5999, 9378, 193, 241, 191, 3932, 1125, 1282, 5018, 15613, 2576, 5018, 15613, 1299, 11551, 1303, 1215, 5999, 6804, 24526, 12581, 1357, 1508, 27220, 1856, 1207, 5999, 9378, 193, 241, 191, 3932, 12825, 5999, 9378, 193, 241, 191, 3932, 1508, 10125, 29884, 1856, 1207, 2889, 174, 3051, 1197, 5999, 24808, 1304, 5018, 15613, 1257, 1170, 11459, 1105, 6047, 1112, 7901, 116, 1313, 1170, 6973, 7480, 17936, 11341, 1205, 1126, 1362, 17895, 1319, 1105, 7194, 6381, 1136, 116, 1313, 1170, 6973, 9081, 192, 7965, 1170, 7899, 6225, 7194, 1164, 251, 3513, 1136, 116, 1313, 1170, 6455, 9081, 192, 7965, 1167, 1170, 6431, 1199, 5867, 1107, 2318, 1120, 9630, 1313, 1170, 6455, 30967, 12825, 5999, 9378, 193, 241, 191, 3932, 1125, 1282, 5018, 15613, 1508, 4018, 1234, 1300, 1207, 15005, 1593, 3992, 1125, 1282, 5018, 15613, 1167, 1300, 16135, 2094, 1197, 4370, 14433, 1158, 4307, 1767, 13798, 4964, 24890, 1194, 125, 121, 3091, 1577, 172, 1293, 12008, 1146, 1810, 23479, 27761, 22809, 1175, 124, 132, 123, 123, 1718, 126, 121, 13318, 7474, 16790, 23384, 1222, 4000, 1176, 16183, 12282, 1306, 1224, 1175, 125, 123, 124, 128, 1718, 152, 3771, 4058, 10724, 25227, 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, 1539, 2139, 1299, 1189, 7808, 7334, 1374, 2720, 5617, 1215, 13949, 3870, 4280, 9053, 3523, 2271, 154, 16801, 1186, 488, 125, 123, 125, 124, 121, 6053, 1170, 1288, 2886, 3555, 7808, 9053, 1215, 18480, 1167, 1170, 17415, 29738, 1125, 1158, 4726, 30364, 1571, 21289, 3464, 1227, 29369, 8991, 14166, 1992, 1388, 5320, 1738, 1277, 21311, 15933, 14166, 1992, 1299, 29369, 1125, 5855, 1188, 1158, 1173, 24042, 149, 1125, 14673, 121, 14301, 15913, 20938, 1508, 1170, 25468, 10665, 1356, 1265, 2466, 1167, 1170, 14277, 22053, 4046, 3513, 18726, 1108, 8622, 1281, 23408, 1188, 1282, 24278, 488, 125, 123, 125, 123, 3672, 1158, 19667, 1125, 16782, 124, 132, 3042, 10440, 17657, 2874, 14387, 1299, 2299, 24666, 1167, 10440, 2423, 27775, 8718, 10803, 28095, 1186, 15020, 243, 4780, 1189, 6018, 5598, 1357, 1300, 14371, 2519, 13996, 1300, 1158, 5646, 1299, 2674, 2094, 244, 1215, 1318, 8897, 1167, 19859, 1125, 1909, 9814, 13916, 1768, 1299, 11975, 1167, 1110, 1318, 6425, 1125, 4263, 177, 22801, 1300, 1561, 5865, 6425, 121, 1808, 7790, 6766, 1125, 16135, 8622, 25281, 3365, 3031, 1256, 1210, 29413, 1215, 3171, 26377, 29637, 4345, 24808, 1125, 14673, 1197, 1253, 1232, 4038, 2004, 4795, 3601, 1317, 3285, 1197, 2879, 11468, 1297, 8921, 1170, 6018, 5598, 10743, 1286, 1189, 1125, 2008, 5397, 1117, 2563, 1207, 12653, 6335, 23131, 1309, 1561, 4541, 2074, 6098, 1318, 3643, 1253, 1232, 2732, 1995, 2797, 17569, 1369, 4249, 1382, 7581, 8004, 1303, 1317, 13057, 121, 8991, 14166, 1992, 1299, 10502, 1125, 13370, 8622, 8732, 7849, 1741, 12186, 2093, 8991, 14166, 1992, 1257, 29369, 1125, 5855, 1188, 1158, 1173, 24042, 149, 1125, 14673, 106, 21086, 172, 6291, 26416, 1257, 1113, 3931, 1128, 2944, 1417, 2818, 1125, 8991, 106, 28708, 1342, 1257, 8658, 1125, 8991, 106, 17703, 10665, 1356, 1265, 2466, 1257, 25468, 1125, 5855, 106, 5950, 4816, 4046, 3513, 1257, 14277, 22053, 1125, 5855, 106, 15293, 3004, 4978, 21981, 197, 1257, 14277, 22053, 1125, 5855, 2614, 3250, 2969, 192, 106, 1539, 1219, 25024, 1183, 1257, 10041, 185, 3693, 14807, 1125, 1158, 1202, 149, 106, 1204, 6026, 172, 1173, 2677, 1257, 17753, 106, 1539, 5750, 1173, 2677, 1257, 15722, 1125, 1204, 6026, 6472, 15020, 2988, 9029, 1829, 12810, 1257, 6018, 5921, 3987, 1303, 1215, 1204, 6026, 6472, 7572, 3331, 1518, 1273, 1140, 1712, 1257, 19383, 1188, 1643, 9491, 1767, 106, 24187, 19120, 2528, 1265, 1257, 27112, 1217, 1374, 26901, 177, 1317, 15360, 8423, 1227, 6485, 8030, 106, 20204, 1867, 31239, 191, 1257, 6018, 5598, 8246, 192, 106, 13949, 1200, 1199, 1108, 1298, 1257, 5962, 1134, 1374, 1711, 1942, 2357, 17753, 1125, 20204, 106, 1545, 1456, 1511, 1222, 1396, 1217, 2466, 1125, 1248, 1456, 1104, 1257, 4610, 6115, 1348, 15948, 23435, 2527, 2093, 13949, 3870, 4280, 1643, 1539, 2139, 119, 6721, 2271, 154, 9891, 1285, 488, 125, 123, 125, 124, 119, 488, 127, 131, 123, 5701, 1424, 13949, 3870, 4280, 1643, 1539, 2139, 119, 6721, 1202, 7493, 1859, 488, 125, 123, 125, 125, 119, 488, 128, 125, 131, 1113, 9994, 2624, 5825, 2093, 1424, 1424, 2093, 157, 3841, 7334, 1374, 2720, 1750, 3841, 2720, 23332, 1186, 488, 125, 123, 125, 124, 1750, 3841, 1281, 8866, 11953, 1186, 15290, 26730, 106, 125, 123, 125, 124, 1186, 14580, 7334, 1774, 121, 32001, 1424, 32000, 20036, 2895, 1539, 2139, 1299, 1189, 7808, 7334, 1374, 2720, 5617, 1215, 13949, 3870, 4280, 9053, 3523, 2271, 154, 16801, 1186, 488, 125, 123, 125, 124, 121, 6053, 1170, 1288, 2886, 3555, 7808, 9053, 1215, 18480, 1167, 1170, 17415, 29738, 1125, 1158, 4726, 30364, 1571, 21289, 3464, 1227, 29369, 8991, 14166, 1992, 1388, 5320, 1738, 1277, 21311, 15933, 14166, 1992, 1299, 29369, 1125, 5855, 1188, 1158, 1173, 24042, 149, 1125, 14673, 121, 14301, 15913, 20938, 1508, 1170, 25468, 10665, 1356, 1265, 2466, 1167, 1170, 14277, 22053, 4046, 3513, 18726, 1108, 8622, 1281, 23408, 1188, 1282, 24278, 488, 125, 123, 125, 123, 3672, 1158, 19667, 1125, 16782, 124, 132, 3042, 10440, 17657, 2874, 14387, 1299, 2299, 24666, 1167, 10440, 2423, 27775, 8718, 10803, 28095, 1186, 15020, 243, 4780, 1189, 6018, 5598, 1357, 1300, 14371, 2519, 13996, 1300, 1158, 5646, 1299, 2674, 2094, 244, 1215, 1318, 8897, 1167, 19859, 1125, 1909, 9814, 13916, 1768, 1299, 11975, 1167, 1110, 1318, 6425, 1125, 4263, 177, 22801, 1300, 1561, 5865, 6425, 121, 1808, 7790, 6766, 1125, 16135, 8622, 25281, 3365, 3031, 1256, 1210, 29413, 1215, 3171, 26377, 29637, 4345, 24808, 1125, 14673, 1197, 1253, 1232, 4038, 2004, 4795, 3601, 1317, 3285, 1197, 2879, 11468, 1297, 8921, 1170, 6018, 5598, 10743, 1286, 1189, 1125, 2008, 5397, 1117, 2563, 1207, 12653, 6335, 23131, 1309, 1561, 4541, 2074, 6098, 1318, 3643, 1253, 1232, 2732, 1995, 2797, 17569, 1369, 4249, 1382, 7581, 8004, 1303, 1317, 13057, 121, 8991, 14166, 1992, 1299, 10502, 1125, 13370, 8622, 8732, 7849, 1741, 12186, 2093, 8991, 14166, 1992, 1257, 29369, 1125, 5855, 1188, 1158, 1173, 24042, 149, 1125, 14673, 106, 21086, 172, 6291, 26416, 1257, 1113, 3931, 1128, 2944, 1417, 2818, 1125, 8991, 106, 28708, 1342, 1257, 8658, 1125, 8991, 106, 17703, 10665, 1356, 1265, 2466, 1257, 25468, 1125, 5855, 106, 5950, 4816, 4046, 3513, 1257, 14277, 22053, 1125, 5855, 106, 15293, 3004, 4978, 21981, 197, 1257, 14277, 22053, 1125, 5855, 2614, 3250, 2969, 192, 106, 1539, 1219, 25024, 1183, 1257, 10041, 185, 3693, 14807, 1125, 1158, 1202, 149, 106, 1204, 6026, 172, 1173, 2677, 1257, 17753, 106, 1539, 5750, 1173, 2677, 1257, 15722, 1125, 1204, 6026, 6472, 15020, 2988, 9029, 1829, 12810, 1257, 6018, 5921, 3987, 1303, 1215, 1204, 6026, 6472, 7572, 3331, 1518, 1273, 1140, 1712, 1257, 19383, 1188, 1643, 9491, 1767, 106, 24187, 19120, 2528, 1265, 1257, 27112, 1217, 1374, 26901, 177, 1317, 15360, 8423, 1227, 6485, 8030, 106, 20204, 1867, 31239, 191, 1257, 6018, 5598, 8246, 192, 106, 13949, 1200, 1199, 1108, 1298, 1257, 5962, 1134, 1374, 1711, 1942, 2357, 17753, 1125, 20204, 106, 1545, 1456, 1511, 1222, 1396, 1217, 2466, 1125, 1248, 1456, 1104, 1257, 4610, 6115, 1348, 15948, 23435, 2527, 2093, 13949, 3870, 4280, 1643, 1539, 2139, 119, 6721, 2271, 154, 9891, 1285, 488, 125, 123, 125, 124, 119, 488, 127, 131, 123, 5701, 1424, 13949, 3870, 4280, 1643, 1539, 2139, 119, 6721, 1202, 7493, 1859, 488, 125, 123, 125, 125, 119, 488, 128, 125, 131, 1113, 9994, 2624, 5825, 2093, 1424, 1424, 2093, 157, 3841, 7334, 1374, 2720, 1750, 3841, 2720, 23332, 1186, 488, 125, 123, 125, 124, 1750, 3841, 1281, 8866, 11953, 1186, 15290, 26730, 106, 125, 123, 125, 124, 1186, 14580, 7334, 1774, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1539, 2139, 1299, 1189, 7808, 7334, 1374, 2720, 5617, 1215, 13949, 3870, 4280, 9053, 3523, 2271, 154, 16801, 1186, 488, 125, 123, 125, 124, 121, 6053, 1170, 1288, 2886, 3555, 7808, 9053, 1215, 18480, 1167, 1170, 17415, 29738, 1125, 1158, 4726, 30364, 1571, 21289, 3464, 1227, 29369, 8991, 14166, 1992, 1388, 5320, 1738, 1277, 21311, 15933, 14166, 1992, 1299, 29369, 1125, 5855, 1188, 1158, 1173, 24042, 149, 1125, 14673, 121, 14301, 15913, 20938, 1508, 1170, 25468, 10665, 1356, 1265, 2466, 1167, 1170, 14277, 22053, 4046, 3513, 18726, 1108, 8622, 1281, 23408, 1188, 1282, 24278, 488, 125, 123, 125, 123, 3672, 1158, 19667, 1125, 16782, 124, 132, 3042, 10440, 17657, 2874, 14387, 1299, 2299, 24666, 1167, 10440, 2423, 27775, 8718, 10803, 28095, 1186, 15020, 243, 4780, 1189, 6018, 5598, 1357, 1300, 14371, 2519, 13996, 1300, 1158, 5646, 1299, 2674, 2094, 244, 1215, 1318, 8897, 1167, 19859, 1125, 1909, 9814, 13916, 1768, 1299, 11975, 1167, 1110, 1318, 6425, 1125, 4263, 177, 22801, 1300, 1561, 5865, 6425, 121, 1808, 7790, 6766, 1125, 16135, 8622, 25281, 3365, 3031, 1256, 1210, 29413, 1215, 3171, 26377, 29637, 4345, 24808, 1125, 14673, 1197, 1253, 1232, 4038, 2004, 4795, 3601, 1317, 3285, 1197, 2879, 11468, 1297, 8921, 1170, 6018, 5598, 10743, 1286, 1189, 1125, 2008, 5397, 1117, 2563, 1207, 12653, 6335, 23131, 1309, 1561, 4541, 2074, 6098, 1318, 3643, 1253, 1232, 2732, 1995, 2797, 17569, 1369, 4249, 1382, 7581, 8004, 1303, 1317, 13057, 121, 8991, 14166, 1992, 1299, 10502, 1125, 13370, 8622, 8732, 7849, 1741, 12186, 2093, 8991, 14166, 1992, 1257, 29369, 1125, 5855, 1188, 1158, 1173, 24042, 149, 1125, 14673, 106, 21086, 172, 6291, 26416, 1257, 1113, 3931, 1128, 2944, 1417, 2818, 1125, 8991, 106, 28708, 1342, 1257, 8658, 1125, 8991, 106, 17703, 10665, 1356, 1265, 2466, 1257, 25468, 1125, 5855, 106, 5950, 4816, 4046, 3513, 1257, 14277, 22053, 1125, 5855, 106, 15293, 3004, 4978, 21981, 197, 1257, 14277, 22053, 1125, 5855, 2614, 3250, 2969, 192, 106, 1539, 1219, 25024, 1183, 1257, 10041, 185, 3693, 14807, 1125, 1158, 1202, 149, 106, 1204, 6026, 172, 1173, 2677, 1257, 17753, 106, 1539, 5750, 1173, 2677, 1257, 15722, 1125, 1204, 6026, 6472, 15020, 2988, 9029, 1829, 12810, 1257, 6018, 5921, 3987, 1303, 1215, 1204, 6026, 6472, 7572, 3331, 1518, 1273, 1140, 1712, 1257, 19383, 1188, 1643, 9491, 1767, 106, 24187, 19120, 2528, 1265, 1257, 27112, 1217, 1374, 26901, 177, 1317, 15360, 8423, 1227, 6485, 8030, 106, 20204, 1867, 31239, 191, 1257, 6018, 5598, 8246, 192, 106, 13949, 1200, 1199, 1108, 1298, 1257, 5962, 1134, 1374, 1711, 1942, 2357, 17753, 1125, 20204, 106, 1545, 1456, 1511, 1222, 1396, 1217, 2466, 1125, 1248, 1456, 1104, 1257, 4610, 6115, 1348, 15948, 23435, 2527, 2093, 13949, 3870, 4280, 1643, 1539, 2139, 119, 6721, 2271, 154, 9891, 1285, 488, 125, 123, 125, 124, 119, 488, 127, 131, 123, 5701, 1424, 13949, 3870, 4280, 1643, 1539, 2139, 119, 6721, 1202, 7493, 1859, 488, 125, 123, 125, 125, 119, 488, 128, 125, 131, 1113, 9994, 2624, 5825, 2093, 1424, 1424, 2093, 157, 3841, 7334, 1374, 2720, 1750, 3841, 2720, 23332, 1186, 488, 125, 123, 125, 124, 1750, 3841, 1281, 8866, 11953, 1186, 15290, 26730, 106, 125, 123, 125, 124, 1186, 14580, 7334, 1774, 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, 15440, 10036, 1922, 173, 1212, 2642, 1175, 125, 129, 2749, 488, 124, 131, 124, 123, 1188, 1202, 30021, 1323, 488, 124, 124, 2875, 488, 124, 131, 130, 130, 1188, 29905, 4363, 1199, 116, 1299, 1189, 1382, 1836, 11286, 1199, 2720, 1167, 1189, 5601, 11097, 1125, 1158, 7676, 1197, 12632, 2682, 1475, 3567, 1485, 1125, 18994, 1768, 27999, 1594, 10610, 1317, 1808, 1752, 2086, 1188, 1198, 2194, 1477, 2648, 1188, 29905, 4363, 2851, 1313, 1158, 31882, 14231, 28440, 1188, 1202, 1442, 3100, 1527, 12459, 1125, 8753, 5601, 185, 3693, 1167, 1281, 4438, 5693, 1227, 1382, 1836, 1293, 1519, 2114, 1188, 23955, 2805, 12258, 1844, 1909, 8787, 1188, 1158, 11495, 1197, 12632, 1125, 2801, 1622, 488, 124, 131, 125, 132, 1167, 1251, 22589, 1214, 7328, 29595, 488, 124, 131, 126, 125, 119, 3110, 1188, 5685, 1527, 1299, 20360, 121, 1643, 3385, 1197, 12632, 16135, 17250, 1186, 12094, 1110, 1502, 1154, 3476, 2130, 9781, 9771, 2806, 1469, 25455, 3333, 8200, 1790, 1167, 19277, 1293, 3377, 1140, 4537, 4651, 30660, 1317, 5421, 1622, 488, 124, 131, 126, 125, 121, 4651, 2180, 1129, 1158, 5601, 3523, 1207, 30983, 1261, 5160, 1186, 18183, 1808, 1752, 2181, 4651, 2024, 11646, 3747, 1207, 30983, 1261, 1180, 7542, 1158, 6545, 1197, 4668, 2563, 7328, 1440, 1309, 17844, 1666, 11646, 1158, 4272, 14898, 1388, 2103, 21296, 1922, 173, 1212, 2642, 26834, 1197, 22503, 1430, 1197, 30898, 1227, 8030, 121, 1768, 18583, 1313, 1158, 7577, 29927, 192, 4436, 1318, 5312, 5725, 2100, 1125, 8371, 30087, 1125, 1158, 16739, 121, 6982, 11400, 9188, 1595, 2165, 1125, 9582, 1317, 1808, 1752, 2086, 1527, 14065, 1186, 2315, 1186, 488, 124, 131, 129, 123, 121, 6218, 16722, 119, 1518, 13853, 12968, 1201, 3365, 1110, 3391, 1212, 1303, 1186, 488, 124, 131, 126, 130, 1188, 1165, 2852, 14284, 119, 19859, 1170, 488, 124, 124, 2875, 488, 124, 131, 130, 130, 1313, 1170, 1139, 10702, 3277, 1125, 6389, 1620, 1636, 2850, 1188, 1252, 14955, 3297, 119, 1186, 17574, 1118, 4586, 1457, 6280, 5921, 1110, 249, 11980, 1518, 13853, 13784, 1567, 1175, 124, 131, 127, 130, 119, 7219, 5275, 172, 1317, 1808, 1752, 2086, 488, 124, 132, 126, 124, 119, 14296, 3967, 116, 6058, 2680, 12846, 10036, 1922, 173, 1212, 2642, 30125, 14867, 1125, 2368, 20285, 1188, 1204, 1129, 2114, 1723, 1527, 7988, 1186, 488, 124, 131, 129, 130, 119, 1188, 1158, 3221, 1125, 1158, 7676, 1197, 5601, 1285, 1304, 9458, 1188, 1198, 2194, 1477, 119, 3042, 1189, 9472, 1121, 1128, 24610, 1768, 5209, 4410, 1318, 28896, 1906, 4881, 2620, 16233, 1215, 1197, 5601, 19606, 7290, 7655, 1723, 1186, 18828, 1188, 1158, 2768, 1469, 1197, 5601, 19606, 15335, 2097, 1167, 18472, 25572, 6218, 3872, 7032, 2782, 1913, 8305, 12258, 1177, 2214, 1186, 2315, 1622, 488, 124, 131, 129, 128, 119, 1167, 7354, 1382, 1836, 1125, 12547, 11645, 1338, 1434, 1303, 1125, 29905, 4363, 2851, 2585, 1527, 1281, 5209, 1186, 1663, 1148, 1571, 26427, 11349, 1357, 8693, 1129, 11286, 1701, 2539, 19465, 1167, 2682, 1475, 3567, 12041, 1867, 1440, 11012, 1527, 2551, 1383, 5026, 1382, 1561, 2352, 2344, 18195, 2290, 1170, 2260, 8934, 3365, 4249, 1382, 1138, 2291, 4618, 1186, 5430, 4058, 121, 2576, 2665, 3054, 1227, 10610, 1125, 17289, 6821, 2435, 2856, 9033, 16849, 1188, 16348, 1594, 6929, 6909, 1186, 488, 124, 131, 130, 124, 1388, 2103, 21296, 1922, 173, 1212, 2642, 19859, 1186, 488, 124, 131, 130, 130, 1188, 29905, 4363, 1199, 8732, 1565, 1430, 7560, 1162, 2335, 6273, 5147, 1291, 4078, 1317, 20449, 1182, 1125, 1158, 1600, 7138, 1227, 5421, 1125, 20182, 7480, 2145, 18256, 28354, 1313, 1170, 2879, 1125, 1557, 1285, 3012, 1167, 2738, 488, 124, 131, 126, 129, 1215, 1204, 8372, 14733, 1922, 173, 1212, 2642, 1167, 13314, 17933, 1255, 4277, 5601, 19606, 1125, 1158, 7676, 1197, 1204, 4031, 2682, 1475, 3567, 1485, 1125, 6721, 1922, 1276, 1153, 3551, 1107, 1216, 8255, 6721, 488, 124, 131, 127, 125, 119, 488, 129, 125, 123, 5701, 1198, 2194, 1477, 1167, 1207, 20403, 6421, 1183, 3515, 2040, 1215, 1545, 121, 1922, 173, 1212, 2642, 121, 23312, 1741, 1167, 9582, 1313, 2008, 14616, 5899, 1125, 488, 124, 131, 129, 125, 1188, 488, 124, 131, 129, 128, 119, 2855, 1322, 13774, 6721, 488, 124, 131, 129, 130, 119, 15948, 25194, 17935, 17994, 11449, 9207, 28446, 119, 1643, 2315, 1167, 30671, 1227, 30469, 14124, 119, 15150, 1104, 1167, 15967, 8515, 18605, 7801, 2336, 12504, 8339, 1132, 1810, 488, 124, 132, 132, 123, 121, 10759, 1233, 2621, 1108, 4280, 2814, 10087, 1197, 12632, 11286, 2972, 2040, 7674, 488, 125, 1257, 1227, 1317, 8007, 1227, 119, 21993, 1125, 29717, 8053, 1244, 1125, 1266, 1307, 1129, 1167, 28108, 262, 1285, 488, 125, 123, 123, 126, 121, 14363, 2324, 1342, 4280, 10036, 1922, 173, 1212, 2642, 119, 2605, 5592, 4607, 3725, 18612, 10777, 1300, 1594, 8007, 119, 1561, 1952, 17951, 1594, 5230, 2944, 29775, 1469, 24969, 1243, 7664, 7676, 1197, 1204, 4031, 29305, 1475, 3567, 6565, 6721, 488, 124, 132, 129, 128, 121, 10563, 3621, 1490, 18090, 1606, 10036, 1922, 173, 1212, 2642, 3133, 1147, 14167, 13531, 8789, 1167, 15558, 1653, 2156, 10248, 4250, 11456, 1496, 29749, 3260, 11565, 1197, 11286, 1701, 2720, 1125, 488, 124, 130, 131, 130, 1188, 2425, 13872, 19911, 488, 124, 1257, 1192, 3926, 119, 1808, 21993, 1125, 2801, 8559, 1539, 1366, 6152, 6721, 488, 125, 123, 124, 128, 119, 13374, 11052, 14124, 1227, 1808, 1752, 186, 7364, 5825, 4713, 3400, 1313, 18163, 1797, 1422, 1266, 3400, 1186, 2749, 488, 124, 131, 124, 123, 20460, 11097, 11286, 1199, 2720, 16346, 1902, 5964, 1227, 11286, 1119, 13780, 6064, 1467, 1313, 1158, 31882, 6064, 1467, 1186, 2875, 488, 124, 131, 130, 130, 6064, 1467, 1188, 488, 129, 130, 8793, 32001, 1424, 32000, 20036, 22016, 10036, 1922, 173, 1212, 2642, 1175, 125, 129, 2749, 488, 124, 131, 124, 123, 1188, 1202, 30021, 1323, 488, 124, 124, 2875, 488, 124, 131, 130, 130, 1188, 29905, 4363, 1199, 116, 1299, 1189, 1382, 1836, 11286, 1199, 2720, 1167, 1189, 5601, 11097, 1125, 1158, 7676, 1197, 12632, 2682, 1475, 3567, 1485, 1125, 18994, 1768, 27999, 1594, 10610, 1317, 1808, 1752, 2086, 1188, 1198, 2194, 1477, 2648, 1188, 29905, 4363, 2851, 1313, 1158, 31882, 14231, 28440, 1188, 1202, 1442, 3100, 1527, 12459, 1125, 8753, 5601, 185, 3693, 1167, 1281, 4438, 5693, 1227, 1382, 1836, 1293, 1519, 2114, 1188, 23955, 2805, 12258, 1844, 1909, 8787, 1188, 1158, 11495, 1197, 12632, 1125, 2801, 1622, 488, 124, 131, 125, 132, 1167, 1251, 22589, 1214, 7328, 29595, 488, 124, 131, 126, 125, 119, 3110, 1188, 5685, 1527, 1299, 20360, 121, 1643, 3385, 1197, 12632, 16135, 17250, 1186, 12094, 1110, 1502, 1154, 3476, 2130, 9781, 9771, 2806, 1469, 25455, 3333, 8200, 1790, 1167, 19277, 1293, 3377, 1140, 4537, 4651, 30660, 1317, 5421, 1622, 488, 124, 131, 126, 125, 121, 4651, 2180, 1129, 1158, 5601, 3523, 1207, 30983, 1261, 5160, 1186, 18183, 1808, 1752, 2181, 4651, 2024, 11646, 3747, 1207, 30983, 1261, 1180, 7542, 1158, 6545, 1197, 4668, 2563, 7328, 1440, 1309, 17844, 1666, 11646, 1158, 4272, 14898, 1388, 2103, 21296, 1922, 173, 1212, 2642, 26834, 1197, 22503, 1430, 1197, 30898, 1227, 8030, 121, 1768, 18583, 1313, 1158, 7577, 29927, 192, 4436, 1318, 5312, 5725, 2100, 1125, 8371, 30087, 1125, 1158, 16739, 121, 6982, 11400, 9188, 1595, 2165, 1125, 9582, 1317, 1808, 1752, 2086, 1527, 14065, 1186, 2315, 1186, 488, 124, 131, 129, 123, 121, 6218, 16722, 119, 1518, 13853, 12968, 1201, 3365, 1110, 3391, 1212, 1303, 1186, 488, 124, 131, 126, 130, 1188, 1165, 2852, 14284, 119, 19859, 1170, 488, 124, 124, 2875, 488, 124, 131, 130, 130, 1313, 1170, 1139, 10702, 3277, 1125, 6389, 1620, 1636, 2850, 1188, 1252, 14955, 3297, 119, 1186, 17574, 1118, 4586, 1457, 6280, 5921, 1110, 249, 11980, 1518, 13853, 13784, 1567, 1175, 124, 131, 127, 130, 119, 7219, 5275, 172, 1317, 1808, 1752, 2086, 488, 124, 132, 126, 124, 119, 14296, 3967, 116, 6058, 2680, 12846, 10036, 1922, 173, 1212, 2642, 30125, 14867, 1125, 2368, 20285, 1188, 1204, 1129, 2114, 1723, 1527, 7988, 1186, 488, 124, 131, 129, 130, 119, 1188, 1158, 3221, 1125, 1158, 7676, 1197, 5601, 1285, 1304, 9458, 1188, 1198, 2194, 1477, 119, 3042, 1189, 9472, 1121, 1128, 24610, 1768, 5209, 4410, 1318, 28896, 1906, 4881, 2620, 16233, 1215, 1197, 5601, 19606, 7290, 7655, 1723, 1186, 18828, 1188, 1158, 2768, 1469, 1197, 5601, 19606, 15335, 2097, 1167, 18472, 25572, 6218, 3872, 7032, 2782, 1913, 8305, 12258, 1177, 2214, 1186, 2315, 1622, 488, 124, 131, 129, 128, 119, 1167, 7354, 1382, 1836, 1125, 12547, 11645, 1338, 1434, 1303, 1125, 29905, 4363, 2851, 2585, 1527, 1281, 5209, 1186, 1663, 1148, 1571, 26427, 11349, 1357, 8693, 1129, 11286, 1701, 2539, 19465, 1167, 2682, 1475, 3567, 12041, 1867, 1440, 11012, 1527, 2551, 1383, 5026, 1382, 1561, 2352, 2344, 18195, 2290, 1170, 2260, 8934, 3365, 4249, 1382, 1138, 2291, 4618, 1186, 5430, 4058, 121, 2576, 2665, 3054, 1227, 10610, 1125, 17289, 6821, 2435, 2856, 9033, 16849, 1188, 16348, 1594, 6929, 6909, 1186, 488, 124, 131, 130, 124, 1388, 2103, 21296, 1922, 173, 1212, 2642, 19859, 1186, 488, 124, 131, 130, 130, 1188, 29905, 4363, 1199, 8732, 1565, 1430, 7560, 1162, 2335, 6273, 5147, 1291, 4078, 1317, 20449, 1182, 1125, 1158, 1600, 7138, 1227, 5421, 1125, 20182, 7480, 2145, 18256, 28354, 1313, 1170, 2879, 1125, 1557, 1285, 3012, 1167, 2738, 488, 124, 131, 126, 129, 1215, 1204, 8372, 14733, 1922, 173, 1212, 2642, 1167, 13314, 17933, 1255, 4277, 5601, 19606, 1125, 1158, 7676, 1197, 1204, 4031, 2682, 1475, 3567, 1485, 1125, 6721, 1922, 1276, 1153, 3551, 1107, 1216, 8255, 6721, 488, 124, 131, 127, 125, 119, 488, 129, 125, 123, 5701, 1198, 2194, 1477, 1167, 1207, 20403, 6421, 1183, 3515, 2040, 1215, 1545, 121, 1922, 173, 1212, 2642, 121, 23312, 1741, 1167, 9582, 1313, 2008, 14616, 5899, 1125, 488, 124, 131, 129, 125, 1188, 488, 124, 131, 129, 128, 119, 2855, 1322, 13774, 6721, 488, 124, 131, 129, 130, 119, 15948, 25194, 17935, 17994, 11449, 9207, 28446, 119, 1643, 2315, 1167, 30671, 1227, 30469, 14124, 119, 15150, 1104, 1167, 15967, 8515, 18605, 7801, 2336, 12504, 8339, 1132, 1810, 488, 124, 132, 132, 123, 121, 10759, 1233, 2621, 1108, 4280, 2814, 10087, 1197, 12632, 11286, 2972, 2040, 7674, 488, 125, 1257, 1227, 1317, 8007, 1227, 119, 21993, 1125, 29717, 8053, 1244, 1125, 1266, 1307, 1129, 1167, 28108, 262, 1285, 488, 125, 123, 123, 126, 121, 14363, 2324, 1342, 4280, 10036, 1922, 173, 1212, 2642, 119, 2605, 5592, 4607, 3725, 18612, 10777, 1300, 1594, 8007, 119, 1561, 1952, 17951, 1594, 5230, 2944, 29775, 1469, 24969, 1243, 7664, 7676, 1197, 1204, 4031, 29305, 1475, 3567, 6565, 6721, 488, 124, 132, 129, 128, 121, 10563, 3621, 1490, 18090, 1606, 10036, 1922, 173, 1212, 2642, 3133, 1147, 14167, 13531, 8789, 1167, 15558, 1653, 2156, 10248, 4250, 11456, 1496, 29749, 3260, 11565, 1197, 11286, 1701, 2720, 1125, 488, 124, 130, 131, 130, 1188, 2425, 13872, 19911, 488, 124, 1257, 1192, 3926, 119, 1808, 21993, 1125, 2801, 8559, 1539, 1366, 6152, 6721, 488, 125, 123, 124, 128, 119, 13374, 11052, 14124, 1227, 1808, 1752, 186, 7364, 5825, 4713, 3400, 1313, 18163, 1797, 1422, 1266, 3400, 1186, 2749, 488, 124, 131, 124, 123, 20460, 11097, 11286, 1199, 2720, 16346, 1902, 5964, 1227, 11286, 1119, 13780, 6064, 1467, 1313, 1158, 31882, 6064, 1467, 1186, 2875, 488, 124, 131, 130, 130, 6064, 1467, 1188, 488, 129, 130, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 10036, 1922, 173, 1212, 2642, 1175, 125, 129, 2749, 488, 124, 131, 124, 123, 1188, 1202, 30021, 1323, 488, 124, 124, 2875, 488, 124, 131, 130, 130, 1188, 29905, 4363, 1199, 116, 1299, 1189, 1382, 1836, 11286, 1199, 2720, 1167, 1189, 5601, 11097, 1125, 1158, 7676, 1197, 12632, 2682, 1475, 3567, 1485, 1125, 18994, 1768, 27999, 1594, 10610, 1317, 1808, 1752, 2086, 1188, 1198, 2194, 1477, 2648, 1188, 29905, 4363, 2851, 1313, 1158, 31882, 14231, 28440, 1188, 1202, 1442, 3100, 1527, 12459, 1125, 8753, 5601, 185, 3693, 1167, 1281, 4438, 5693, 1227, 1382, 1836, 1293, 1519, 2114, 1188, 23955, 2805, 12258, 1844, 1909, 8787, 1188, 1158, 11495, 1197, 12632, 1125, 2801, 1622, 488, 124, 131, 125, 132, 1167, 1251, 22589, 1214, 7328, 29595, 488, 124, 131, 126, 125, 119, 3110, 1188, 5685, 1527, 1299, 20360, 121, 1643, 3385, 1197, 12632, 16135, 17250, 1186, 12094, 1110, 1502, 1154, 3476, 2130, 9781, 9771, 2806, 1469, 25455, 3333, 8200, 1790, 1167, 19277, 1293, 3377, 1140, 4537, 4651, 30660, 1317, 5421, 1622, 488, 124, 131, 126, 125, 121, 4651, 2180, 1129, 1158, 5601, 3523, 1207, 30983, 1261, 5160, 1186, 18183, 1808, 1752, 2181, 4651, 2024, 11646, 3747, 1207, 30983, 1261, 1180, 7542, 1158, 6545, 1197, 4668, 2563, 7328, 1440, 1309, 17844, 1666, 11646, 1158, 4272, 14898, 1388, 2103, 21296, 1922, 173, 1212, 2642, 26834, 1197, 22503, 1430, 1197, 30898, 1227, 8030, 121, 1768, 18583, 1313, 1158, 7577, 29927, 192, 4436, 1318, 5312, 5725, 2100, 1125, 8371, 30087, 1125, 1158, 16739, 121, 6982, 11400, 9188, 1595, 2165, 1125, 9582, 1317, 1808, 1752, 2086, 1527, 14065, 1186, 2315, 1186, 488, 124, 131, 129, 123, 121, 6218, 16722, 119, 1518, 13853, 12968, 1201, 3365, 1110, 3391, 1212, 1303, 1186, 488, 124, 131, 126, 130, 1188, 1165, 2852, 14284, 119, 19859, 1170, 488, 124, 124, 2875, 488, 124, 131, 130, 130, 1313, 1170, 1139, 10702, 3277, 1125, 6389, 1620, 1636, 2850, 1188, 1252, 14955, 3297, 119, 1186, 17574, 1118, 4586, 1457, 6280, 5921, 1110, 249, 11980, 1518, 13853, 13784, 1567, 1175, 124, 131, 127, 130, 119, 7219, 5275, 172, 1317, 1808, 1752, 2086, 488, 124, 132, 126, 124, 119, 14296, 3967, 116, 6058, 2680, 12846, 10036, 1922, 173, 1212, 2642, 30125, 14867, 1125, 2368, 20285, 1188, 1204, 1129, 2114, 1723, 1527, 7988, 1186, 488, 124, 131, 129, 130, 119, 1188, 1158, 3221, 1125, 1158, 7676, 1197, 5601, 1285, 1304, 9458, 1188, 1198, 2194, 1477, 119, 3042, 1189, 9472, 1121, 1128, 24610, 1768, 5209, 4410, 1318, 28896, 1906, 4881, 2620, 16233, 1215, 1197, 5601, 19606, 7290, 7655, 1723, 1186, 18828, 1188, 1158, 2768, 1469, 1197, 5601, 19606, 15335, 2097, 1167, 18472, 25572, 6218, 3872, 7032, 2782, 1913, 8305, 12258, 1177, 2214, 1186, 2315, 1622, 488, 124, 131, 129, 128, 119, 1167, 7354, 1382, 1836, 1125, 12547, 11645, 1338, 1434, 1303, 1125, 29905, 4363, 2851, 2585, 1527, 1281, 5209, 1186, 1663, 1148, 1571, 26427, 11349, 1357, 8693, 1129, 11286, 1701, 2539, 19465, 1167, 2682, 1475, 3567, 12041, 1867, 1440, 11012, 1527, 2551, 1383, 5026, 1382, 1561, 2352, 2344, 18195, 2290, 1170, 2260, 8934, 3365, 4249, 1382, 1138, 2291, 4618, 1186, 5430, 4058, 121, 2576, 2665, 3054, 1227, 10610, 1125, 17289, 6821, 2435, 2856, 9033, 16849, 1188, 16348, 1594, 6929, 6909, 1186, 488, 124, 131, 130, 124, 1388, 2103, 21296, 1922, 173, 1212, 2642, 19859, 1186, 488, 124, 131, 130, 130, 1188, 29905, 4363, 1199, 8732, 1565, 1430, 7560, 1162, 2335, 6273, 5147, 1291, 4078, 1317, 20449, 1182, 1125, 1158, 1600, 7138, 1227, 5421, 1125, 20182, 7480, 2145, 18256, 28354, 1313, 1170, 2879, 1125, 1557, 1285, 3012, 1167, 2738, 488, 124, 131, 126, 129, 1215, 1204, 8372, 14733, 1922, 173, 1212, 2642, 1167, 13314, 17933, 1255, 4277, 5601, 19606, 1125, 1158, 7676, 1197, 1204, 4031, 2682, 1475, 3567, 1485, 1125, 6721, 1922, 1276, 1153, 3551, 1107, 1216, 8255, 6721, 488, 124, 131, 127, 125, 119, 488, 129, 125, 123, 5701, 1198, 2194, 1477, 1167, 1207, 20403, 6421, 1183, 3515, 2040, 1215, 1545, 121, 1922, 173, 1212, 2642, 121, 23312, 1741, 1167, 9582, 1313, 2008, 14616, 5899, 1125, 488, 124, 131, 129, 125, 1188, 488, 124, 131, 129, 128, 119, 2855, 1322, 13774, 6721, 488, 124, 131, 129, 130, 119, 15948, 25194, 17935, 17994, 11449, 9207, 28446, 119, 1643, 2315, 1167, 30671, 1227, 30469, 14124, 119, 15150, 1104, 1167, 15967, 8515, 18605, 7801, 2336, 12504, 8339, 1132, 1810, 488, 124, 132, 132, 123, 121, 10759, 1233, 2621, 1108, 4280, 2814, 10087, 1197, 12632, 11286, 2972, 2040, 7674, 488, 125, 1257, 1227, 1317, 8007, 1227, 119, 21993, 1125, 29717, 8053, 1244, 1125, 1266, 1307, 1129, 1167, 28108, 262, 1285, 488, 125, 123, 123, 126, 121, 14363, 2324, 1342, 4280, 10036, 1922, 173, 1212, 2642, 119, 2605, 5592, 4607, 3725, 18612, 10777, 1300, 1594, 8007, 119, 1561, 1952, 17951, 1594, 5230, 2944, 29775, 1469, 24969, 1243, 7664, 7676, 1197, 1204, 4031, 29305, 1475, 3567, 6565, 6721, 488, 124, 132, 129, 128, 121, 10563, 3621, 1490, 18090, 1606, 10036, 1922, 173, 1212, 2642, 3133, 1147, 14167, 13531, 8789, 1167, 15558, 1653, 2156, 10248, 4250, 11456, 1496, 29749, 3260, 11565, 1197, 11286, 1701, 2720, 1125, 488, 124, 130, 131, 130, 1188, 2425, 13872, 19911, 488, 124, 1257, 1192, 3926, 119, 1808, 21993, 1125, 2801, 8559, 1539, 1366, 6152, 6721, 488, 125, 123, 124, 128, 119, 13374, 11052, 14124, 1227, 1808, 1752, 186, 7364, 5825, 4713, 3400, 1313, 18163, 1797, 1422, 1266, 3400, 1186, 2749, 488, 124, 131, 124, 123, 20460, 11097, 11286, 1199, 2720, 16346, 1902, 5964, 1227, 11286, 1119, 13780, 6064, 1467, 1313, 1158, 31882, 6064, 1467, 1186, 2875, 488, 124, 131, 130, 130, 6064, 1467, 1188, 488, 129, 130, 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, 24253, 126, 1299, 1189, 14450, 1168, 6327, 27215, 15519, 1215, 2502, 125, 6253, 1737, 6099, 2932, 14450, 1168, 27215, 11535, 1110, 1913, 2539, 5364, 3458, 2879, 2750, 1594, 12208, 3041, 1863, 7434, 1215, 1158, 28453, 2271, 19434, 13966, 119, 1527, 1110, 7545, 1125, 13350, 1207, 14573, 1227, 14450, 1168, 6327, 6772, 1410, 10831, 20481, 1194, 24253, 126, 121, 124, 1110, 1913, 17034, 1186, 488, 124, 132, 132, 132, 1167, 7508, 3203, 2879, 1408, 7959, 1215, 1158, 3451, 1352, 155, 126, 121, 125, 1388, 2029, 1996, 1408, 7959, 1313, 1158, 2076, 13407, 2502, 125, 1110, 16752, 1197, 13009, 1554, 1352, 155, 126, 1256, 1207, 18386, 28629, 4011, 1167, 12609, 15370, 1657, 1653, 488, 125, 123, 123, 123, 119, 2502, 125, 1110, 2445, 17034, 1318, 13115, 1227, 14450, 1168, 1352, 155, 126, 1256, 8106, 7745, 1105, 2735, 15493, 4819, 1352, 155, 127, 119, 1110, 1913, 17034, 1186, 3451, 31914, 1186, 488, 125, 123, 123, 125, 23460, 1201, 1282, 5344, 2059, 1937, 3147, 488, 125, 123, 123, 124, 119, 2502, 125, 28369, 1110, 16752, 1158, 8969, 2519, 3451, 6772, 1125, 25131, 7259, 1232, 1125, 26840, 1352, 155, 126, 121, 125, 121, 18335, 488, 125, 123, 123, 124, 119, 1170, 2579, 3869, 1125, 25131, 7259, 1232, 1352, 155, 126, 1110, 1913, 9053, 2290, 12969, 6772, 121, 1643, 3451, 488, 123, 121, 124, 1125, 1158, 12969, 13190, 1227, 1352, 155, 126, 121, 125, 4253, 1120, 1370, 1158, 9196, 1227, 2579, 3869, 1188, 4488, 1309, 1158, 3451, 21731, 1917, 1567, 3295, 1125, 6084, 1207, 2802, 1352, 155, 126, 121, 125, 8370, 488, 125, 123, 123, 124, 119, 2502, 125, 1110, 12121, 1158, 12969, 1186, 14722, 1170, 2579, 3869, 1125, 1352, 155, 126, 2290, 12969, 1200, 146, 6257, 121, 1653, 488, 125, 123, 123, 124, 119, 2502, 125, 1110, 7798, 1352, 155, 126, 1188, 1158, 28453, 2271, 19434, 13966, 2290, 1318, 12969, 1233, 11745, 121, 1653, 1110, 1261, 488, 125, 123, 123, 125, 119, 2502, 125, 1167, 1158, 28453, 2271, 19434, 13966, 2004, 10866, 8350, 1979, 2209, 1125, 1982, 1125, 1352, 155, 126, 1158, 2989, 2335, 3631, 14450, 1168, 6772, 1167, 6155, 119, 1170, 12905, 1410, 10831, 30039, 2072, 3616, 10831, 15948, 12498, 18818, 6327, 1194, 1108, 133, 1598, 10831, 110, 24436, 32001, 1424, 32000, 20036, 2073, 155, 126, 1299, 1189, 14450, 1168, 6327, 27215, 15519, 1215, 2502, 125, 6253, 1737, 6099, 2932, 14450, 1168, 27215, 11535, 1110, 1913, 2539, 5364, 3458, 2879, 2750, 1594, 12208, 3041, 1863, 7434, 1215, 1158, 28453, 2271, 19434, 13966, 119, 1527, 1110, 7545, 1125, 13350, 1207, 14573, 1227, 14450, 1168, 6327, 6772, 1410, 10831, 20481, 1194, 24253, 126, 121, 124, 1110, 1913, 17034, 1186, 488, 124, 132, 132, 132, 1167, 7508, 3203, 2879, 1408, 7959, 1215, 1158, 3451, 1352, 155, 126, 121, 125, 1388, 2029, 1996, 1408, 7959, 1313, 1158, 2076, 13407, 2502, 125, 1110, 16752, 1197, 13009, 1554, 1352, 155, 126, 1256, 1207, 18386, 28629, 4011, 1167, 12609, 15370, 1657, 1653, 488, 125, 123, 123, 123, 119, 2502, 125, 1110, 2445, 17034, 1318, 13115, 1227, 14450, 1168, 1352, 155, 126, 1256, 8106, 7745, 1105, 2735, 15493, 4819, 1352, 155, 127, 119, 1110, 1913, 17034, 1186, 3451, 31914, 1186, 488, 125, 123, 123, 125, 23460, 1201, 1282, 5344, 2059, 1937, 3147, 488, 125, 123, 123, 124, 119, 2502, 125, 28369, 1110, 16752, 1158, 8969, 2519, 3451, 6772, 1125, 25131, 7259, 1232, 1125, 26840, 1352, 155, 126, 121, 125, 121, 18335, 488, 125, 123, 123, 124, 119, 1170, 2579, 3869, 1125, 25131, 7259, 1232, 1352, 155, 126, 1110, 1913, 9053, 2290, 12969, 6772, 121, 1643, 3451, 488, 123, 121, 124, 1125, 1158, 12969, 13190, 1227, 1352, 155, 126, 121, 125, 4253, 1120, 1370, 1158, 9196, 1227, 2579, 3869, 1188, 4488, 1309, 1158, 3451, 21731, 1917, 1567, 3295, 1125, 6084, 1207, 2802, 1352, 155, 126, 121, 125, 8370, 488, 125, 123, 123, 124, 119, 2502, 125, 1110, 12121, 1158, 12969, 1186, 14722, 1170, 2579, 3869, 1125, 1352, 155, 126, 2290, 12969, 1200, 146, 6257, 121, 1653, 488, 125, 123, 123, 124, 119, 2502, 125, 1110, 7798, 1352, 155, 126, 1188, 1158, 28453, 2271, 19434, 13966, 2290, 1318, 12969, 1233, 11745, 121, 1653, 1110, 1261, 488, 125, 123, 123, 125, 119, 2502, 125, 1167, 1158, 28453, 2271, 19434, 13966, 2004, 10866, 8350, 1979, 2209, 1125, 1982, 1125, 1352, 155, 126, 1158, 2989, 2335, 3631, 14450, 1168, 6772, 1167, 6155, 119, 1170, 12905, 1410, 10831, 30039, 2072, 3616, 10831, 15948, 12498, 18818, 6327, 1194, 1108, 133, 1598, 10831, 110, 24436, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2073, 155, 126, 1299, 1189, 14450, 1168, 6327, 27215, 15519, 1215, 2502, 125, 6253, 1737, 6099, 2932, 14450, 1168, 27215, 11535, 1110, 1913, 2539, 5364, 3458, 2879, 2750, 1594, 12208, 3041, 1863, 7434, 1215, 1158, 28453, 2271, 19434, 13966, 119, 1527, 1110, 7545, 1125, 13350, 1207, 14573, 1227, 14450, 1168, 6327, 6772, 1410, 10831, 20481, 1194, 24253, 126, 121, 124, 1110, 1913, 17034, 1186, 488, 124, 132, 132, 132, 1167, 7508, 3203, 2879, 1408, 7959, 1215, 1158, 3451, 1352, 155, 126, 121, 125, 1388, 2029, 1996, 1408, 7959, 1313, 1158, 2076, 13407, 2502, 125, 1110, 16752, 1197, 13009, 1554, 1352, 155, 126, 1256, 1207, 18386, 28629, 4011, 1167, 12609, 15370, 1657, 1653, 488, 125, 123, 123, 123, 119, 2502, 125, 1110, 2445, 17034, 1318, 13115, 1227, 14450, 1168, 1352, 155, 126, 1256, 8106, 7745, 1105, 2735, 15493, 4819, 1352, 155, 127, 119, 1110, 1913, 17034, 1186, 3451, 31914, 1186, 488, 125, 123, 123, 125, 23460, 1201, 1282, 5344, 2059, 1937, 3147, 488, 125, 123, 123, 124, 119, 2502, 125, 28369, 1110, 16752, 1158, 8969, 2519, 3451, 6772, 1125, 25131, 7259, 1232, 1125, 26840, 1352, 155, 126, 121, 125, 121, 18335, 488, 125, 123, 123, 124, 119, 1170, 2579, 3869, 1125, 25131, 7259, 1232, 1352, 155, 126, 1110, 1913, 9053, 2290, 12969, 6772, 121, 1643, 3451, 488, 123, 121, 124, 1125, 1158, 12969, 13190, 1227, 1352, 155, 126, 121, 125, 4253, 1120, 1370, 1158, 9196, 1227, 2579, 3869, 1188, 4488, 1309, 1158, 3451, 21731, 1917, 1567, 3295, 1125, 6084, 1207, 2802, 1352, 155, 126, 121, 125, 8370, 488, 125, 123, 123, 124, 119, 2502, 125, 1110, 12121, 1158, 12969, 1186, 14722, 1170, 2579, 3869, 1125, 1352, 155, 126, 2290, 12969, 1200, 146, 6257, 121, 1653, 488, 125, 123, 123, 124, 119, 2502, 125, 1110, 7798, 1352, 155, 126, 1188, 1158, 28453, 2271, 19434, 13966, 2290, 1318, 12969, 1233, 11745, 121, 1653, 1110, 1261, 488, 125, 123, 123, 125, 119, 2502, 125, 1167, 1158, 28453, 2271, 19434, 13966, 2004, 10866, 8350, 1979, 2209, 1125, 1982, 1125, 1352, 155, 126, 1158, 2989, 2335, 3631, 14450, 1168, 6772, 1167, 6155, 119, 1170, 12905, 1410, 10831, 30039, 2072, 3616, 10831, 15948, 12498, 18818, 6327, 1194, 1108, 133, 1598, 10831, 110, 24436, 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, 1266, 5216, 1105, 12455, 1299, 1318, 9869, 2301, 2806, 1188, 1663, 2081, 19331, 1154, 19429, 1357, 13290, 1197, 6943, 27100, 12957, 2248, 10772, 3450, 1110, 1913, 16233, 1186, 488, 124, 132, 129, 125, 1215, 26184, 280, 1507, 180, 1173, 1141, 1569, 2554, 1810, 5598, 3657, 1167, 5598, 26298, 6941, 19956, 8501, 2750, 1158, 22925, 12507, 27213, 1110, 1913, 14844, 244, 1295, 184, 1298, 2081, 22123, 2357, 1125, 20922, 1125, 6545, 121, 1643, 20201, 20912, 1197, 14146, 1125, 27334, 1541, 1188, 10253, 1167, 1207, 14479, 1197, 10960, 25791, 1188, 25711, 1197, 5736, 27100, 12957, 2248, 10772, 4466, 8258, 1508, 2445, 8337, 1256, 1170, 4764, 1227, 5192, 21266, 14610, 1167, 1256, 106, 3436, 6943, 4792, 31666, 1317, 14506, 1167, 1313, 1170, 15153, 1548, 23660, 4792, 4192, 1281, 1892, 2214, 1300, 1197, 5555, 9060, 1188, 1158, 4272, 17419, 1158, 4509, 5956, 1167, 24301, 8155, 10452, 1199, 18183, 1299, 1671, 186, 1122, 180, 1173, 1141, 1569, 2554, 1810, 5890, 18642, 1136, 1125, 4556, 12698, 1125, 1271, 27002, 10999, 1125, 1158, 4509, 1175, 2883, 23101, 1313, 17719, 29609, 1125, 1158, 1115, 243, 5465, 9994, 2038, 1125, 1838, 7256, 106, 124, 132, 129, 125, 1703, 488, 124, 132, 132, 128, 133, 1248, 17568, 1507, 180, 1173, 1141, 1569, 2554, 6472, 124, 132, 132, 129, 1703, 488, 125, 123, 123, 128, 133, 23341, 28492, 6218, 9945, 1208, 25699, 488, 125, 123, 123, 128, 1257, 1671, 186, 1122, 180, 1173, 1141, 1569, 2554, 1810, 5890, 18642, 1136, 1125, 4556, 12698, 1125, 1282, 27002, 10999, 1125, 1158, 4509, 1256, 21524, 29609, 1125, 1158, 1115, 243, 5465, 1167, 5890, 18642, 1136, 17911, 1256, 1207, 4274, 1125, 17571, 1197, 1115, 1955, 1112, 1250, 10803, 20201, 7962, 3589, 181, 8400, 4964, 1173, 1141, 1569, 17368, 1194, 3562, 20201, 7962, 3589, 181, 8400, 4964, 1173, 1141, 1569, 17368, 1299, 1318, 28453, 27495, 1304, 3209, 1348, 5956, 1215, 7918, 1227, 488, 125, 126, 2829, 488, 124, 132, 132, 123, 121, 3855, 1189, 20636, 2301, 2357, 2130, 1663, 19331, 1154, 1533, 1167, 1125, 8774, 15173, 1357, 1110, 1256, 5601, 1125, 1606, 10733, 1207, 4445, 24515, 1167, 9305, 10190, 1835, 1158, 2315, 1167, 1170, 14506, 4821, 3450, 1299, 3273, 1303, 1215, 1318, 9377, 1162, 26551, 1125, 488, 126, 13149, 1125, 1251, 1462, 27447, 1123, 3997, 488, 125, 123, 5743, 16910, 1188, 21778, 116, 2079, 1303, 1188, 1158, 2315, 1215, 1158, 20201, 1266, 5216, 1105, 8370, 488, 125, 123, 123, 132, 119, 1158, 20201, 1110, 1693, 8694, 1186, 31317, 1162, 1158, 6072, 1632, 9161, 22353, 7265, 1140, 6867, 1109, 1242, 3835, 1605, 148, 3441, 174, 6723, 7997, 116, 1188, 1158, 3011, 1125, 1158, 11473, 2134, 15793, 20304, 2134, 28057, 1265, 1255, 11343, 1199, 1170, 8121, 1125, 26184, 280, 1507, 180, 1173, 1141, 1569, 17368, 1313, 11786, 2399, 23571, 1370, 1158, 9085, 1125, 1158, 20201, 1188, 19422, 2254, 24449, 24925, 1199, 1207, 4445, 7962, 3589, 181, 8400, 11281, 1188, 1271, 6683, 3472, 121, 9161, 22353, 7265, 1140, 6867, 1109, 1242, 9363, 1186, 19134, 1188, 1594, 9664, 2071, 17034, 1318, 16779, 4538, 1256, 1158, 9110, 1125, 1158, 3370, 121, 1548, 11458, 1110, 1913, 9365, 1170, 488, 125, 125, 2875, 488, 125, 123, 124, 123, 1257, 1158, 20201, 1110, 1913, 4128, 1261, 1303, 1125, 1561, 29171, 11488, 1167, 20117, 2072, 7364, 5825, 1875, 5216, 1105, 12455, 2359, 1865, 9229, 1125, 1158, 20201, 7962, 3589, 181, 8400, 4964, 1173, 1141, 1569, 17368, 9288, 29539, 21987, 1867, 5856, 1158, 20201, 1173, 1141, 1569, 17368, 1299, 10659, 1170, 1874, 1617, 119, 2081, 177, 4259, 5446, 488, 124, 124, 2829, 488, 125, 123, 124, 124, 17994, 12986, 3718, 1469, 13742, 17723, 1257, 1606, 1808, 25662, 1288, 4256, 1382, 1964, 2498, 3133, 10424, 1383, 9708, 119, 488, 130, 2798, 488, 125, 123, 123, 129, 23159, 1414, 1162, 1317, 14506, 29099, 2923, 15974, 1186, 488, 124, 132, 129, 125, 32001, 1424, 32000, 20036, 2895, 1266, 5216, 1105, 12455, 1299, 1318, 9869, 2301, 2806, 1188, 1663, 2081, 19331, 1154, 19429, 1357, 13290, 1197, 6943, 27100, 12957, 2248, 10772, 3450, 1110, 1913, 16233, 1186, 488, 124, 132, 129, 125, 1215, 26184, 280, 1507, 180, 1173, 1141, 1569, 2554, 1810, 5598, 3657, 1167, 5598, 26298, 6941, 19956, 8501, 2750, 1158, 22925, 12507, 27213, 1110, 1913, 14844, 244, 1295, 184, 1298, 2081, 22123, 2357, 1125, 20922, 1125, 6545, 121, 1643, 20201, 20912, 1197, 14146, 1125, 27334, 1541, 1188, 10253, 1167, 1207, 14479, 1197, 10960, 25791, 1188, 25711, 1197, 5736, 27100, 12957, 2248, 10772, 4466, 8258, 1508, 2445, 8337, 1256, 1170, 4764, 1227, 5192, 21266, 14610, 1167, 1256, 106, 3436, 6943, 4792, 31666, 1317, 14506, 1167, 1313, 1170, 15153, 1548, 23660, 4792, 4192, 1281, 1892, 2214, 1300, 1197, 5555, 9060, 1188, 1158, 4272, 17419, 1158, 4509, 5956, 1167, 24301, 8155, 10452, 1199, 18183, 1299, 1671, 186, 1122, 180, 1173, 1141, 1569, 2554, 1810, 5890, 18642, 1136, 1125, 4556, 12698, 1125, 1271, 27002, 10999, 1125, 1158, 4509, 1175, 2883, 23101, 1313, 17719, 29609, 1125, 1158, 1115, 243, 5465, 9994, 2038, 1125, 1838, 7256, 106, 124, 132, 129, 125, 1703, 488, 124, 132, 132, 128, 133, 1248, 17568, 1507, 180, 1173, 1141, 1569, 2554, 6472, 124, 132, 132, 129, 1703, 488, 125, 123, 123, 128, 133, 23341, 28492, 6218, 9945, 1208, 25699, 488, 125, 123, 123, 128, 1257, 1671, 186, 1122, 180, 1173, 1141, 1569, 2554, 1810, 5890, 18642, 1136, 1125, 4556, 12698, 1125, 1282, 27002, 10999, 1125, 1158, 4509, 1256, 21524, 29609, 1125, 1158, 1115, 243, 5465, 1167, 5890, 18642, 1136, 17911, 1256, 1207, 4274, 1125, 17571, 1197, 1115, 1955, 1112, 1250, 10803, 20201, 7962, 3589, 181, 8400, 4964, 1173, 1141, 1569, 17368, 1194, 3562, 20201, 7962, 3589, 181, 8400, 4964, 1173, 1141, 1569, 17368, 1299, 1318, 28453, 27495, 1304, 3209, 1348, 5956, 1215, 7918, 1227, 488, 125, 126, 2829, 488, 124, 132, 132, 123, 121, 3855, 1189, 20636, 2301, 2357, 2130, 1663, 19331, 1154, 1533, 1167, 1125, 8774, 15173, 1357, 1110, 1256, 5601, 1125, 1606, 10733, 1207, 4445, 24515, 1167, 9305, 10190, 1835, 1158, 2315, 1167, 1170, 14506, 4821, 3450, 1299, 3273, 1303, 1215, 1318, 9377, 1162, 26551, 1125, 488, 126, 13149, 1125, 1251, 1462, 27447, 1123, 3997, 488, 125, 123, 5743, 16910, 1188, 21778, 116, 2079, 1303, 1188, 1158, 2315, 1215, 1158, 20201, 1266, 5216, 1105, 8370, 488, 125, 123, 123, 132, 119, 1158, 20201, 1110, 1693, 8694, 1186, 31317, 1162, 1158, 6072, 1632, 9161, 22353, 7265, 1140, 6867, 1109, 1242, 3835, 1605, 148, 3441, 174, 6723, 7997, 116, 1188, 1158, 3011, 1125, 1158, 11473, 2134, 15793, 20304, 2134, 28057, 1265, 1255, 11343, 1199, 1170, 8121, 1125, 26184, 280, 1507, 180, 1173, 1141, 1569, 17368, 1313, 11786, 2399, 23571, 1370, 1158, 9085, 1125, 1158, 20201, 1188, 19422, 2254, 24449, 24925, 1199, 1207, 4445, 7962, 3589, 181, 8400, 11281, 1188, 1271, 6683, 3472, 121, 9161, 22353, 7265, 1140, 6867, 1109, 1242, 9363, 1186, 19134, 1188, 1594, 9664, 2071, 17034, 1318, 16779, 4538, 1256, 1158, 9110, 1125, 1158, 3370, 121, 1548, 11458, 1110, 1913, 9365, 1170, 488, 125, 125, 2875, 488, 125, 123, 124, 123, 1257, 1158, 20201, 1110, 1913, 4128, 1261, 1303, 1125, 1561, 29171, 11488, 1167, 20117, 2072, 7364, 5825, 1875, 5216, 1105, 12455, 2359, 1865, 9229, 1125, 1158, 20201, 7962, 3589, 181, 8400, 4964, 1173, 1141, 1569, 17368, 9288, 29539, 21987, 1867, 5856, 1158, 20201, 1173, 1141, 1569, 17368, 1299, 10659, 1170, 1874, 1617, 119, 2081, 177, 4259, 5446, 488, 124, 124, 2829, 488, 125, 123, 124, 124, 17994, 12986, 3718, 1469, 13742, 17723, 1257, 1606, 1808, 25662, 1288, 4256, 1382, 1964, 2498, 3133, 10424, 1383, 9708, 119, 488, 130, 2798, 488, 125, 123, 123, 129, 23159, 1414, 1162, 1317, 14506, 29099, 2923, 15974, 1186, 488, 124, 132, 129, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1266, 5216, 1105, 12455, 1299, 1318, 9869, 2301, 2806, 1188, 1663, 2081, 19331, 1154, 19429, 1357, 13290, 1197, 6943, 27100, 12957, 2248, 10772, 3450, 1110, 1913, 16233, 1186, 488, 124, 132, 129, 125, 1215, 26184, 280, 1507, 180, 1173, 1141, 1569, 2554, 1810, 5598, 3657, 1167, 5598, 26298, 6941, 19956, 8501, 2750, 1158, 22925, 12507, 27213, 1110, 1913, 14844, 244, 1295, 184, 1298, 2081, 22123, 2357, 1125, 20922, 1125, 6545, 121, 1643, 20201, 20912, 1197, 14146, 1125, 27334, 1541, 1188, 10253, 1167, 1207, 14479, 1197, 10960, 25791, 1188, 25711, 1197, 5736, 27100, 12957, 2248, 10772, 4466, 8258, 1508, 2445, 8337, 1256, 1170, 4764, 1227, 5192, 21266, 14610, 1167, 1256, 106, 3436, 6943, 4792, 31666, 1317, 14506, 1167, 1313, 1170, 15153, 1548, 23660, 4792, 4192, 1281, 1892, 2214, 1300, 1197, 5555, 9060, 1188, 1158, 4272, 17419, 1158, 4509, 5956, 1167, 24301, 8155, 10452, 1199, 18183, 1299, 1671, 186, 1122, 180, 1173, 1141, 1569, 2554, 1810, 5890, 18642, 1136, 1125, 4556, 12698, 1125, 1271, 27002, 10999, 1125, 1158, 4509, 1175, 2883, 23101, 1313, 17719, 29609, 1125, 1158, 1115, 243, 5465, 9994, 2038, 1125, 1838, 7256, 106, 124, 132, 129, 125, 1703, 488, 124, 132, 132, 128, 133, 1248, 17568, 1507, 180, 1173, 1141, 1569, 2554, 6472, 124, 132, 132, 129, 1703, 488, 125, 123, 123, 128, 133, 23341, 28492, 6218, 9945, 1208, 25699, 488, 125, 123, 123, 128, 1257, 1671, 186, 1122, 180, 1173, 1141, 1569, 2554, 1810, 5890, 18642, 1136, 1125, 4556, 12698, 1125, 1282, 27002, 10999, 1125, 1158, 4509, 1256, 21524, 29609, 1125, 1158, 1115, 243, 5465, 1167, 5890, 18642, 1136, 17911, 1256, 1207, 4274, 1125, 17571, 1197, 1115, 1955, 1112, 1250, 10803, 20201, 7962, 3589, 181, 8400, 4964, 1173, 1141, 1569, 17368, 1194, 3562, 20201, 7962, 3589, 181, 8400, 4964, 1173, 1141, 1569, 17368, 1299, 1318, 28453, 27495, 1304, 3209, 1348, 5956, 1215, 7918, 1227, 488, 125, 126, 2829, 488, 124, 132, 132, 123, 121, 3855, 1189, 20636, 2301, 2357, 2130, 1663, 19331, 1154, 1533, 1167, 1125, 8774, 15173, 1357, 1110, 1256, 5601, 1125, 1606, 10733, 1207, 4445, 24515, 1167, 9305, 10190, 1835, 1158, 2315, 1167, 1170, 14506, 4821, 3450, 1299, 3273, 1303, 1215, 1318, 9377, 1162, 26551, 1125, 488, 126, 13149, 1125, 1251, 1462, 27447, 1123, 3997, 488, 125, 123, 5743, 16910, 1188, 21778, 116, 2079, 1303, 1188, 1158, 2315, 1215, 1158, 20201, 1266, 5216, 1105, 8370, 488, 125, 123, 123, 132, 119, 1158, 20201, 1110, 1693, 8694, 1186, 31317, 1162, 1158, 6072, 1632, 9161, 22353, 7265, 1140, 6867, 1109, 1242, 3835, 1605, 148, 3441, 174, 6723, 7997, 116, 1188, 1158, 3011, 1125, 1158, 11473, 2134, 15793, 20304, 2134, 28057, 1265, 1255, 11343, 1199, 1170, 8121, 1125, 26184, 280, 1507, 180, 1173, 1141, 1569, 17368, 1313, 11786, 2399, 23571, 1370, 1158, 9085, 1125, 1158, 20201, 1188, 19422, 2254, 24449, 24925, 1199, 1207, 4445, 7962, 3589, 181, 8400, 11281, 1188, 1271, 6683, 3472, 121, 9161, 22353, 7265, 1140, 6867, 1109, 1242, 9363, 1186, 19134, 1188, 1594, 9664, 2071, 17034, 1318, 16779, 4538, 1256, 1158, 9110, 1125, 1158, 3370, 121, 1548, 11458, 1110, 1913, 9365, 1170, 488, 125, 125, 2875, 488, 125, 123, 124, 123, 1257, 1158, 20201, 1110, 1913, 4128, 1261, 1303, 1125, 1561, 29171, 11488, 1167, 20117, 2072, 7364, 5825, 1875, 5216, 1105, 12455, 2359, 1865, 9229, 1125, 1158, 20201, 7962, 3589, 181, 8400, 4964, 1173, 1141, 1569, 17368, 9288, 29539, 21987, 1867, 5856, 1158, 20201, 1173, 1141, 1569, 17368, 1299, 10659, 1170, 1874, 1617, 119, 2081, 177, 4259, 5446, 488, 124, 124, 2829, 488, 125, 123, 124, 124, 17994, 12986, 3718, 1469, 13742, 17723, 1257, 1606, 1808, 25662, 1288, 4256, 1382, 1964, 2498, 3133, 10424, 1383, 9708, 119, 488, 130, 2798, 488, 125, 123, 123, 129, 23159, 1414, 1162, 1317, 14506, 29099, 2923, 15974, 1186, 488, 124, 132, 129, 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, 1424, 22939, 3331, 10189, 1299, 1318, 4726, 1125, 11350, 29995, 17989, 1215, 29475, 2236, 23922, 1167, 29995, 1215, 3699, 7422, 1548, 1306, 7763, 1139, 2677, 1199, 1197, 31008, 6900, 1237, 1857, 1479, 1104, 1125, 21420, 10189, 8125, 1623, 1388, 3681, 4354, 190, 1424, 1248, 1833, 1819, 1162, 1175, 125, 123, 123, 131, 1260, 1808, 4553, 4339, 1146, 2707, 1227, 16700, 181, 1219, 3471, 7363, 1538, 5844, 1283, 224, 1766, 2571, 12361, 488, 125, 123, 123, 131, 1718, 224, 175, 14814, 1424, 4861, 1538, 1128, 3471, 1172, 2001, 1606, 6410, 177, 5245, 15198, 1257, 6622, 1104, 488, 124, 1167, 488, 125, 5007, 23945, 9891, 1197, 6622, 1104, 488, 124, 1167, 488, 125, 1718, 8036, 2072, 1424, 2571, 4396, 1430, 1186, 29011, 10977, 1473, 1197, 31008, 1125, 21420, 10189, 8125, 1623, 12323, 2163, 29995, 7962, 186, 2687, 1140, 1315, 2056, 2163, 29995, 7334, 1774, 2056, 2163, 29995, 1469, 21420, 10189, 8125, 1623, 1628, 2974, 4861, 1538, 1128, 2911, 183, 1538, 1128, 1323, 6410, 177, 5245, 2056, 2163, 29995, 1281, 8866, 11953, 1317, 21144, 9745, 12109, 1761, 1313, 1158, 11350, 29995, 114, 32001, 1424, 32000, 20036, 106, 22939, 3331, 10189, 1299, 1318, 4726, 1125, 11350, 29995, 17989, 1215, 29475, 2236, 23922, 1167, 29995, 1215, 3699, 7422, 1548, 1306, 7763, 1139, 2677, 1199, 1197, 31008, 6900, 1237, 1857, 1479, 1104, 1125, 21420, 10189, 8125, 1623, 1388, 3681, 4354, 190, 1424, 1248, 1833, 1819, 1162, 1175, 125, 123, 123, 131, 1260, 1808, 4553, 4339, 1146, 2707, 1227, 16700, 181, 1219, 3471, 7363, 1538, 5844, 1283, 224, 1766, 2571, 12361, 488, 125, 123, 123, 131, 1718, 224, 175, 14814, 1424, 4861, 1538, 1128, 3471, 1172, 2001, 1606, 6410, 177, 5245, 15198, 1257, 6622, 1104, 488, 124, 1167, 488, 125, 5007, 23945, 9891, 1197, 6622, 1104, 488, 124, 1167, 488, 125, 1718, 8036, 2072, 1424, 2571, 4396, 1430, 1186, 29011, 10977, 1473, 1197, 31008, 1125, 21420, 10189, 8125, 1623, 12323, 2163, 29995, 7962, 186, 2687, 1140, 1315, 2056, 2163, 29995, 7334, 1774, 2056, 2163, 29995, 1469, 21420, 10189, 8125, 1623, 1628, 2974, 4861, 1538, 1128, 2911, 183, 1538, 1128, 1323, 6410, 177, 5245, 2056, 2163, 29995, 1281, 8866, 11953, 1317, 21144, 9745, 12109, 1761, 1313, 1158, 11350, 29995, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 22939, 3331, 10189, 1299, 1318, 4726, 1125, 11350, 29995, 17989, 1215, 29475, 2236, 23922, 1167, 29995, 1215, 3699, 7422, 1548, 1306, 7763, 1139, 2677, 1199, 1197, 31008, 6900, 1237, 1857, 1479, 1104, 1125, 21420, 10189, 8125, 1623, 1388, 3681, 4354, 190, 1424, 1248, 1833, 1819, 1162, 1175, 125, 123, 123, 131, 1260, 1808, 4553, 4339, 1146, 2707, 1227, 16700, 181, 1219, 3471, 7363, 1538, 5844, 1283, 224, 1766, 2571, 12361, 488, 125, 123, 123, 131, 1718, 224, 175, 14814, 1424, 4861, 1538, 1128, 3471, 1172, 2001, 1606, 6410, 177, 5245, 15198, 1257, 6622, 1104, 488, 124, 1167, 488, 125, 5007, 23945, 9891, 1197, 6622, 1104, 488, 124, 1167, 488, 125, 1718, 8036, 2072, 1424, 2571, 4396, 1430, 1186, 29011, 10977, 1473, 1197, 31008, 1125, 21420, 10189, 8125, 1623, 12323, 2163, 29995, 7962, 186, 2687, 1140, 1315, 2056, 2163, 29995, 7334, 1774, 2056, 2163, 29995, 1469, 21420, 10189, 8125, 1623, 1628, 2974, 4861, 1538, 1128, 2911, 183, 1538, 1128, 1323, 6410, 177, 5245, 2056, 2163, 29995, 1281, 8866, 11953, 1317, 21144, 9745, 12109, 1761, 1313, 1158, 11350, 29995, 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, 4691, 1153, 1248, 2564, 6652, 18965, 23568, 2765, 5252, 1170, 488, 124, 128, 2749, 488, 124, 132, 123, 127, 1188, 1306, 1785, 1804, 180, 1313, 1170, 5623, 2065, 2547, 244, 1125, 4444, 15613, 1167, 4541, 1170, 488, 125, 123, 2829, 488, 124, 132, 131, 128, 1313, 1158, 2076, 19110, 1299, 1189, 3497, 1314, 1136, 16051, 1622, 2621, 7655, 3320, 4586, 244, 1125, 21683, 1571, 5549, 1541, 1125, 488, 124, 132, 126, 126, 14231, 12498, 1124, 4096, 24142, 21311, 4691, 1153, 18965, 23568, 1108, 1299, 5252, 1313, 1170, 5623, 2065, 2547, 244, 1125, 4444, 15613, 119, 1318, 3647, 2009, 1125, 5613, 26875, 15393, 121, 1768, 1299, 1805, 21706, 14045, 1125, 4444, 15613, 1835, 488, 124, 132, 125, 130, 1167, 488, 124, 132, 127, 129, 12258, 11404, 1594, 14661, 16421, 2757, 488, 124, 132, 124, 130, 119, 1188, 5999, 4322, 19754, 21741, 1175, 124, 132, 126, 123, 1188, 17597, 2585, 1527, 18764, 1318, 24722, 1125, 15515, 28238, 488, 124, 132, 126, 128, 1188, 16888, 1121, 1123, 5520, 488, 124, 132, 126, 129, 1188, 17597, 1167, 488, 124, 132, 126, 130, 1188, 1202, 3074, 1277, 1496, 2442, 12973, 10600, 5549, 1541, 1175, 124, 132, 125, 132, 1188, 31282, 488, 124, 132, 126, 124, 1188, 5763, 23986, 488, 124, 132, 126, 125, 1188, 13127, 2726, 488, 124, 132, 126, 126, 1188, 2397, 1136, 1507, 2585, 1527, 1191, 1134, 21960, 1318, 24722, 1125, 15515, 28238, 488, 124, 132, 126, 127, 1188, 14940, 20817, 5862, 488, 124, 132, 126, 128, 1188, 11890, 1301, 1182, 1167, 488, 124, 132, 126, 130, 1188, 31882, 1576, 1768, 13300, 2445, 1188, 3203, 10765, 19411, 29659, 1257, 488, 124, 132, 125, 131, 1188, 16888, 1121, 1123, 5520, 488, 124, 132, 126, 125, 1188, 13402, 2358, 1183, 1176, 1167, 488, 124, 132, 126, 129, 1188, 1293, 2569, 23627, 3486, 12432, 182, 1187, 12929, 1388, 6090, 1105, 3648, 22745, 2136, 1158, 22925, 12507, 27213, 10563, 1153, 18965, 23568, 1108, 2368, 3173, 5738, 1571, 9864, 1167, 23541, 1317, 2482, 4524, 8755, 2267, 7879, 1125, 488, 124, 132, 127, 128, 1188, 488, 124, 132, 128, 124, 121, 6487, 14429, 1527, 15458, 1318, 17030, 1125, 3497, 17055, 1188, 22827, 1317, 26015, 19321, 1561, 4927, 1304, 15896, 12243, 1186, 23777, 1227, 31082, 1527, 9900, 3747, 1469, 1158, 14045, 1245, 13461, 1460, 1125, 488, 124, 132, 130, 129, 17486, 31982, 9029, 1292, 1167, 1170, 14045, 24832, 8179, 18545, 6894, 7552, 1158, 1622, 1197, 4092, 488, 124, 132, 130, 123, 119, 1527, 5464, 1245, 1313, 1561, 3837, 23082, 1366, 14023, 22137, 12928, 1105, 15722, 27398, 1140, 1110, 2445, 1913, 3203, 2768, 14045, 1125, 4444, 15613, 1125, 3497, 17055, 16051, 8732, 26361, 15948, 7364, 5825, 30738, 30801, 1136, 16051, 1622, 18131, 8156, 1186, 2749, 488, 124, 132, 123, 127, 8156, 1188, 1306, 1785, 1804, 180, 8156, 1313, 1170, 2511, 2065, 2547, 244, 1125, 4444, 15613, 9317, 1186, 2829, 488, 124, 132, 131, 128, 9317, 1188, 1306, 1785, 1804, 180, 9317, 1188, 488, 131, 124, 8793, 32001, 1424, 32000, 20036, 1720, 4691, 1153, 1248, 2564, 6652, 18965, 23568, 2765, 5252, 1170, 488, 124, 128, 2749, 488, 124, 132, 123, 127, 1188, 1306, 1785, 1804, 180, 1313, 1170, 5623, 2065, 2547, 244, 1125, 4444, 15613, 1167, 4541, 1170, 488, 125, 123, 2829, 488, 124, 132, 131, 128, 1313, 1158, 2076, 19110, 1299, 1189, 3497, 1314, 1136, 16051, 1622, 2621, 7655, 3320, 4586, 244, 1125, 21683, 1571, 5549, 1541, 1125, 488, 124, 132, 126, 126, 14231, 12498, 1124, 4096, 24142, 21311, 4691, 1153, 18965, 23568, 1108, 1299, 5252, 1313, 1170, 5623, 2065, 2547, 244, 1125, 4444, 15613, 119, 1318, 3647, 2009, 1125, 5613, 26875, 15393, 121, 1768, 1299, 1805, 21706, 14045, 1125, 4444, 15613, 1835, 488, 124, 132, 125, 130, 1167, 488, 124, 132, 127, 129, 12258, 11404, 1594, 14661, 16421, 2757, 488, 124, 132, 124, 130, 119, 1188, 5999, 4322, 19754, 21741, 1175, 124, 132, 126, 123, 1188, 17597, 2585, 1527, 18764, 1318, 24722, 1125, 15515, 28238, 488, 124, 132, 126, 128, 1188, 16888, 1121, 1123, 5520, 488, 124, 132, 126, 129, 1188, 17597, 1167, 488, 124, 132, 126, 130, 1188, 1202, 3074, 1277, 1496, 2442, 12973, 10600, 5549, 1541, 1175, 124, 132, 125, 132, 1188, 31282, 488, 124, 132, 126, 124, 1188, 5763, 23986, 488, 124, 132, 126, 125, 1188, 13127, 2726, 488, 124, 132, 126, 126, 1188, 2397, 1136, 1507, 2585, 1527, 1191, 1134, 21960, 1318, 24722, 1125, 15515, 28238, 488, 124, 132, 126, 127, 1188, 14940, 20817, 5862, 488, 124, 132, 126, 128, 1188, 11890, 1301, 1182, 1167, 488, 124, 132, 126, 130, 1188, 31882, 1576, 1768, 13300, 2445, 1188, 3203, 10765, 19411, 29659, 1257, 488, 124, 132, 125, 131, 1188, 16888, 1121, 1123, 5520, 488, 124, 132, 126, 125, 1188, 13402, 2358, 1183, 1176, 1167, 488, 124, 132, 126, 129, 1188, 1293, 2569, 23627, 3486, 12432, 182, 1187, 12929, 1388, 6090, 1105, 3648, 22745, 2136, 1158, 22925, 12507, 27213, 10563, 1153, 18965, 23568, 1108, 2368, 3173, 5738, 1571, 9864, 1167, 23541, 1317, 2482, 4524, 8755, 2267, 7879, 1125, 488, 124, 132, 127, 128, 1188, 488, 124, 132, 128, 124, 121, 6487, 14429, 1527, 15458, 1318, 17030, 1125, 3497, 17055, 1188, 22827, 1317, 26015, 19321, 1561, 4927, 1304, 15896, 12243, 1186, 23777, 1227, 31082, 1527, 9900, 3747, 1469, 1158, 14045, 1245, 13461, 1460, 1125, 488, 124, 132, 130, 129, 17486, 31982, 9029, 1292, 1167, 1170, 14045, 24832, 8179, 18545, 6894, 7552, 1158, 1622, 1197, 4092, 488, 124, 132, 130, 123, 119, 1527, 5464, 1245, 1313, 1561, 3837, 23082, 1366, 14023, 22137, 12928, 1105, 15722, 27398, 1140, 1110, 2445, 1913, 3203, 2768, 14045, 1125, 4444, 15613, 1125, 3497, 17055, 16051, 8732, 26361, 15948, 7364, 5825, 30738, 30801, 1136, 16051, 1622, 18131, 8156, 1186, 2749, 488, 124, 132, 123, 127, 8156, 1188, 1306, 1785, 1804, 180, 8156, 1313, 1170, 2511, 2065, 2547, 244, 1125, 4444, 15613, 9317, 1186, 2829, 488, 124, 132, 131, 128, 9317, 1188, 1306, 1785, 1804, 180, 9317, 1188, 488, 131, 124, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 4691, 1153, 1248, 2564, 6652, 18965, 23568, 2765, 5252, 1170, 488, 124, 128, 2749, 488, 124, 132, 123, 127, 1188, 1306, 1785, 1804, 180, 1313, 1170, 5623, 2065, 2547, 244, 1125, 4444, 15613, 1167, 4541, 1170, 488, 125, 123, 2829, 488, 124, 132, 131, 128, 1313, 1158, 2076, 19110, 1299, 1189, 3497, 1314, 1136, 16051, 1622, 2621, 7655, 3320, 4586, 244, 1125, 21683, 1571, 5549, 1541, 1125, 488, 124, 132, 126, 126, 14231, 12498, 1124, 4096, 24142, 21311, 4691, 1153, 18965, 23568, 1108, 1299, 5252, 1313, 1170, 5623, 2065, 2547, 244, 1125, 4444, 15613, 119, 1318, 3647, 2009, 1125, 5613, 26875, 15393, 121, 1768, 1299, 1805, 21706, 14045, 1125, 4444, 15613, 1835, 488, 124, 132, 125, 130, 1167, 488, 124, 132, 127, 129, 12258, 11404, 1594, 14661, 16421, 2757, 488, 124, 132, 124, 130, 119, 1188, 5999, 4322, 19754, 21741, 1175, 124, 132, 126, 123, 1188, 17597, 2585, 1527, 18764, 1318, 24722, 1125, 15515, 28238, 488, 124, 132, 126, 128, 1188, 16888, 1121, 1123, 5520, 488, 124, 132, 126, 129, 1188, 17597, 1167, 488, 124, 132, 126, 130, 1188, 1202, 3074, 1277, 1496, 2442, 12973, 10600, 5549, 1541, 1175, 124, 132, 125, 132, 1188, 31282, 488, 124, 132, 126, 124, 1188, 5763, 23986, 488, 124, 132, 126, 125, 1188, 13127, 2726, 488, 124, 132, 126, 126, 1188, 2397, 1136, 1507, 2585, 1527, 1191, 1134, 21960, 1318, 24722, 1125, 15515, 28238, 488, 124, 132, 126, 127, 1188, 14940, 20817, 5862, 488, 124, 132, 126, 128, 1188, 11890, 1301, 1182, 1167, 488, 124, 132, 126, 130, 1188, 31882, 1576, 1768, 13300, 2445, 1188, 3203, 10765, 19411, 29659, 1257, 488, 124, 132, 125, 131, 1188, 16888, 1121, 1123, 5520, 488, 124, 132, 126, 125, 1188, 13402, 2358, 1183, 1176, 1167, 488, 124, 132, 126, 129, 1188, 1293, 2569, 23627, 3486, 12432, 182, 1187, 12929, 1388, 6090, 1105, 3648, 22745, 2136, 1158, 22925, 12507, 27213, 10563, 1153, 18965, 23568, 1108, 2368, 3173, 5738, 1571, 9864, 1167, 23541, 1317, 2482, 4524, 8755, 2267, 7879, 1125, 488, 124, 132, 127, 128, 1188, 488, 124, 132, 128, 124, 121, 6487, 14429, 1527, 15458, 1318, 17030, 1125, 3497, 17055, 1188, 22827, 1317, 26015, 19321, 1561, 4927, 1304, 15896, 12243, 1186, 23777, 1227, 31082, 1527, 9900, 3747, 1469, 1158, 14045, 1245, 13461, 1460, 1125, 488, 124, 132, 130, 129, 17486, 31982, 9029, 1292, 1167, 1170, 14045, 24832, 8179, 18545, 6894, 7552, 1158, 1622, 1197, 4092, 488, 124, 132, 130, 123, 119, 1527, 5464, 1245, 1313, 1561, 3837, 23082, 1366, 14023, 22137, 12928, 1105, 15722, 27398, 1140, 1110, 2445, 1913, 3203, 2768, 14045, 1125, 4444, 15613, 1125, 3497, 17055, 16051, 8732, 26361, 15948, 7364, 5825, 30738, 30801, 1136, 16051, 1622, 18131, 8156, 1186, 2749, 488, 124, 132, 123, 127, 8156, 1188, 1306, 1785, 1804, 180, 8156, 1313, 1170, 2511, 2065, 2547, 244, 1125, 4444, 15613, 9317, 1186, 2829, 488, 124, 132, 131, 128, 9317, 1188, 1306, 1785, 1804, 180, 9317, 1188, 488, 131, 124, 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, 14564, 2119, 1189, 7666, 29249, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 1125, 488, 488, 126, 128, 123, 123, 124, 1125, 23486, 12866, 1186, 488, 124, 132, 132, 123, 29227, 1424, 126, 128, 123, 123, 124, 1110, 1913, 12866, 1170, 488, 125, 3012, 1188, 1282, 12838, 4371, 1125, 1643, 1173, 1292, 1810, 1317, 1539, 1142, 2433, 1215, 15095, 27359, 3985, 1243, 25886, 21198, 1329, 5982, 2137, 22066, 10584, 1286, 1125, 3371, 7666, 29249, 1299, 7925, 1303, 1215, 1189, 20456, 20094, 27792, 1125, 488, 125, 119, 130, 128, 1405, 5128, 1189, 3731, 179, 20891, 1125, 488, 125, 119, 129, 123, 1405, 5128, 1318, 1279, 3196, 1766, 1348, 1125, 488, 123, 119, 125, 128, 1167, 1318, 2123, 1109, 5540, 1125, 488, 124, 119, 129, 123, 210, 1215, 3598, 1188, 6577, 6448, 17285, 6604, 1844, 1125, 2008, 7925, 11212, 1188, 3089, 1189, 20456, 20094, 27792, 5749, 1835, 488, 125, 1167, 488, 126, 1405, 140, 1167, 1189, 3731, 179, 20891, 8595, 1188, 488, 124, 1405, 5128, 1527, 1299, 1936, 2357, 3702, 1158, 20517, 5128, 1856, 6999, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 25886, 21198, 17871, 1424, 126, 128, 123, 123, 124, 1110, 1318, 29729, 11572, 1277, 7933, 116, 1125, 488, 124, 128, 119, 130, 1167, 1189, 1294, 173, 1740, 186, 28577, 1188, 488, 123, 119, 123, 129, 127, 119, 1440, 1357, 2856, 1125, 29912, 1189, 23486, 1125, 488, 126, 119, 129, 1498, 5784, 4466, 6282, 2004, 1913, 8776, 1153, 4855, 1571, 15342, 1227, 1325, 1468, 120, 4176, 12646, 1154, 2395, 30332, 29212, 11560, 11510, 1496, 1189, 1111, 19876, 174, 2249, 23149, 8403, 3902, 1186, 25818, 1286, 1186, 488, 125, 123, 123, 132, 1167, 5391, 1199, 9933, 1227, 15349, 1313, 5444, 1885, 1124, 1118, 4780, 1167, 21722, 1186, 488, 125, 123, 124, 124, 1313, 1189, 3477, 21284, 1207, 7790, 6282, 5958, 1207, 7666, 16253, 3436, 1125, 1158, 20450, 11419, 30039, 20544, 11052, 1424, 12253, 1197, 2678, 12202, 8330, 1842, 1175, 126, 128, 123, 123, 124, 120, 126, 129, 123, 123, 123, 1260, 2932, 12451, 20087, 30828, 3436, 7364, 5825, 15948, 2093, 2744, 1843, 29346, 12866, 1186, 488, 124, 132, 132, 123, 1530, 1243, 29249, 1125, 1158, 20450, 11419, 1194, 2744, 1843, 29346, 12866, 1215, 15095, 27359, 3985, 1243, 1194, 2744, 1843, 29346, 12866, 1188, 1282, 12838, 4371, 1125, 1643, 1173, 8429, 32001, 1424, 32000, 20036, 24368, 1189, 7666, 29249, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 1125, 488, 488, 126, 128, 123, 123, 124, 1125, 23486, 12866, 1186, 488, 124, 132, 132, 123, 29227, 1424, 126, 128, 123, 123, 124, 1110, 1913, 12866, 1170, 488, 125, 3012, 1188, 1282, 12838, 4371, 1125, 1643, 1173, 1292, 1810, 1317, 1539, 1142, 2433, 1215, 15095, 27359, 3985, 1243, 25886, 21198, 1329, 5982, 2137, 22066, 10584, 1286, 1125, 3371, 7666, 29249, 1299, 7925, 1303, 1215, 1189, 20456, 20094, 27792, 1125, 488, 125, 119, 130, 128, 1405, 5128, 1189, 3731, 179, 20891, 1125, 488, 125, 119, 129, 123, 1405, 5128, 1318, 1279, 3196, 1766, 1348, 1125, 488, 123, 119, 125, 128, 1167, 1318, 2123, 1109, 5540, 1125, 488, 124, 119, 129, 123, 210, 1215, 3598, 1188, 6577, 6448, 17285, 6604, 1844, 1125, 2008, 7925, 11212, 1188, 3089, 1189, 20456, 20094, 27792, 5749, 1835, 488, 125, 1167, 488, 126, 1405, 140, 1167, 1189, 3731, 179, 20891, 8595, 1188, 488, 124, 1405, 5128, 1527, 1299, 1936, 2357, 3702, 1158, 20517, 5128, 1856, 6999, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 25886, 21198, 17871, 1424, 126, 128, 123, 123, 124, 1110, 1318, 29729, 11572, 1277, 7933, 116, 1125, 488, 124, 128, 119, 130, 1167, 1189, 1294, 173, 1740, 186, 28577, 1188, 488, 123, 119, 123, 129, 127, 119, 1440, 1357, 2856, 1125, 29912, 1189, 23486, 1125, 488, 126, 119, 129, 1498, 5784, 4466, 6282, 2004, 1913, 8776, 1153, 4855, 1571, 15342, 1227, 1325, 1468, 120, 4176, 12646, 1154, 2395, 30332, 29212, 11560, 11510, 1496, 1189, 1111, 19876, 174, 2249, 23149, 8403, 3902, 1186, 25818, 1286, 1186, 488, 125, 123, 123, 132, 1167, 5391, 1199, 9933, 1227, 15349, 1313, 5444, 1885, 1124, 1118, 4780, 1167, 21722, 1186, 488, 125, 123, 124, 124, 1313, 1189, 3477, 21284, 1207, 7790, 6282, 5958, 1207, 7666, 16253, 3436, 1125, 1158, 20450, 11419, 30039, 20544, 11052, 1424, 12253, 1197, 2678, 12202, 8330, 1842, 1175, 126, 128, 123, 123, 124, 120, 126, 129, 123, 123, 123, 1260, 2932, 12451, 20087, 30828, 3436, 7364, 5825, 15948, 2093, 2744, 1843, 29346, 12866, 1186, 488, 124, 132, 132, 123, 1530, 1243, 29249, 1125, 1158, 20450, 11419, 1194, 2744, 1843, 29346, 12866, 1215, 15095, 27359, 3985, 1243, 1194, 2744, 1843, 29346, 12866, 1188, 1282, 12838, 4371, 1125, 1643, 1173, 8429, 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, 24368, 1189, 7666, 29249, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 1125, 488, 488, 126, 128, 123, 123, 124, 1125, 23486, 12866, 1186, 488, 124, 132, 132, 123, 29227, 1424, 126, 128, 123, 123, 124, 1110, 1913, 12866, 1170, 488, 125, 3012, 1188, 1282, 12838, 4371, 1125, 1643, 1173, 1292, 1810, 1317, 1539, 1142, 2433, 1215, 15095, 27359, 3985, 1243, 25886, 21198, 1329, 5982, 2137, 22066, 10584, 1286, 1125, 3371, 7666, 29249, 1299, 7925, 1303, 1215, 1189, 20456, 20094, 27792, 1125, 488, 125, 119, 130, 128, 1405, 5128, 1189, 3731, 179, 20891, 1125, 488, 125, 119, 129, 123, 1405, 5128, 1318, 1279, 3196, 1766, 1348, 1125, 488, 123, 119, 125, 128, 1167, 1318, 2123, 1109, 5540, 1125, 488, 124, 119, 129, 123, 210, 1215, 3598, 1188, 6577, 6448, 17285, 6604, 1844, 1125, 2008, 7925, 11212, 1188, 3089, 1189, 20456, 20094, 27792, 5749, 1835, 488, 125, 1167, 488, 126, 1405, 140, 1167, 1189, 3731, 179, 20891, 8595, 1188, 488, 124, 1405, 5128, 1527, 1299, 1936, 2357, 3702, 1158, 20517, 5128, 1856, 6999, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 25886, 21198, 17871, 1424, 126, 128, 123, 123, 124, 1110, 1318, 29729, 11572, 1277, 7933, 116, 1125, 488, 124, 128, 119, 130, 1167, 1189, 1294, 173, 1740, 186, 28577, 1188, 488, 123, 119, 123, 129, 127, 119, 1440, 1357, 2856, 1125, 29912, 1189, 23486, 1125, 488, 126, 119, 129, 1498, 5784, 4466, 6282, 2004, 1913, 8776, 1153, 4855, 1571, 15342, 1227, 1325, 1468, 120, 4176, 12646, 1154, 2395, 30332, 29212, 11560, 11510, 1496, 1189, 1111, 19876, 174, 2249, 23149, 8403, 3902, 1186, 25818, 1286, 1186, 488, 125, 123, 123, 132, 1167, 5391, 1199, 9933, 1227, 15349, 1313, 5444, 1885, 1124, 1118, 4780, 1167, 21722, 1186, 488, 125, 123, 124, 124, 1313, 1189, 3477, 21284, 1207, 7790, 6282, 5958, 1207, 7666, 16253, 3436, 1125, 1158, 20450, 11419, 30039, 20544, 11052, 1424, 12253, 1197, 2678, 12202, 8330, 1842, 1175, 126, 128, 123, 123, 124, 120, 126, 129, 123, 123, 123, 1260, 2932, 12451, 20087, 30828, 3436, 7364, 5825, 15948, 2093, 2744, 1843, 29346, 12866, 1186, 488, 124, 132, 132, 123, 1530, 1243, 29249, 1125, 1158, 20450, 11419, 1194, 2744, 1843, 29346, 12866, 1215, 15095, 27359, 3985, 1243, 1194, 2744, 1843, 29346, 12866, 1188, 1282, 12838, 4371, 1125, 1643, 1173, 8429, 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, 20330, 1200, 2759, 24051, 1170, 488, 488, 124, 131, 127, 127, 1167, 4541, 1170, 488, 488, 124, 132, 124, 129, 116, 1299, 1189, 11080, 1929, 8403, 9918, 1256, 2782, 16098, 1170, 3151, 22582, 1728, 1188, 1138, 1415, 1388, 4499, 244, 1856, 13652, 1317, 30211, 25167, 4780, 4172, 1200, 2759, 9900, 1188, 14141, 4966, 9660, 1188, 1997, 3291, 3297, 1186, 4083, 1309, 1116, 1298, 1349, 1657, 1768, 1299, 2445, 15006, 1313, 1561, 9287, 1186, 4083, 1309, 6711, 1125, 1594, 2231, 183, 8222, 9503, 1125, 6344, 10773, 16287, 1167, 6711, 1125, 9628, 17104, 3447, 1457, 1200, 2759, 11080, 176, 1167, 18764, 1189, 31331, 1256, 1440, 1357, 1299, 15112, 1856, 1170, 3151, 22582, 1728, 1188, 1138, 1415, 1186, 488, 124, 131, 131, 131, 119, 1723, 1594, 24177, 6739, 1382, 1913, 5514, 6657, 1167, 1170, 31331, 1110, 19461, 1215, 2217, 1187, 1657, 1548, 22582, 1728, 1188, 1138, 1415, 11990, 2934, 3063, 193, 12884, 1408, 14429, 1186, 488, 124, 132, 126, 131, 119, 1215, 1200, 14381, 197, 183, 254, 25669, 254, 119, 2750, 1158, 4541, 1125, 1200, 2759, 8509, 244, 2479, 1125, 2492, 1167, 9245, 4172, 1200, 2759, 1139, 6146, 1188, 1997, 3291, 3297, 1170, 488, 126, 2822, 488, 124, 131, 127, 127, 119, 1125, 4172, 9846, 1200, 2759, 1167, 19038, 15065, 1479, 9599, 2893, 4422, 16639, 1768, 1844, 1909, 8787, 1188, 1997, 3291, 3297, 119, 1299, 7628, 255, 7749, 1125, 1158, 1997, 3291, 3297, 6815, 5761, 119, 2648, 8833, 1849, 30211, 25167, 4780, 8776, 1199, 1189, 19860, 1125, 3090, 1313, 1158, 9853, 1125, 488, 124, 131, 129, 129, 121, 1266, 23726, 1317, 15756, 1334, 1227, 21836, 1125, 1173, 3205, 22843, 1170, 488, 124, 131, 2749, 488, 124, 131, 129, 130, 119, 1527, 30686, 1123, 6349, 1909, 8787, 1125, 3090, 1313, 1170, 13078, 10885, 8376, 1293, 1573, 1105, 1673, 10427, 119, 1723, 4040, 1123, 6349, 1125, 12533, 1594, 9159, 1313, 1158, 2453, 8079, 7441, 1653, 488, 124, 131, 130, 124, 119, 1527, 16773, 1594, 9159, 1186, 30375, 1256, 14141, 4966, 9660, 1186, 4083, 1309, 1116, 1298, 23399, 21860, 121, 4511, 1158, 4541, 1125, 1594, 9159, 1186, 488, 124, 131, 130, 127, 119, 4172, 1200, 2759, 14568, 1594, 8536, 1125, 1116, 1298, 23399, 1167, 4933, 1188, 1440, 8536, 7328, 1561, 23598, 1186, 488, 124, 131, 132, 128, 1256, 1197, 8852, 1125, 4509, 6649, 17587, 16894, 30730, 1215, 1207, 24177, 1285, 4172, 1200, 2759, 18764, 1170, 488, 126, 123, 2822, 488, 124, 131, 131, 131, 1170, 3151, 31331, 25232, 1664, 126, 132, 125, 123, 127, 129, 116, 1256, 1189, 22582, 1728, 1188, 1138, 1415, 26639, 16636, 1125, 31011, 1189, 11314, 12904, 12249, 10580, 12904, 25485, 1300, 1197, 3519, 1186, 5944, 7763, 1440, 1309, 1288, 28661, 1382, 1982, 1207, 18473, 1180, 1264, 4437, 3042, 2107, 5996, 1548, 22582, 1728, 1125, 1200, 2759, 12262, 1318, 5715, 1138, 1415, 12321, 1374, 9576, 18153, 4211, 1277, 1186, 2320, 1215, 1318, 2404, 28812, 3762, 1170, 3063, 193, 3174, 1527, 5698, 2232, 121, 8673, 1309, 1594, 24177, 10633, 1823, 13409, 1256, 1557, 3393, 1197, 21485, 16342, 1277, 3027, 1856, 1170, 5944, 7763, 1856, 1527, 8425, 1370, 27215, 3504, 4353, 2399, 8135, 1305, 10641, 4202, 6596, 27422, 1256, 6577, 12249, 1125, 2866, 25869, 11567, 3128, 4053, 9979, 3701, 1594, 18343, 1299, 2377, 244, 1147, 16766, 186, 1348, 1167, 1170, 31331, 1299, 12048, 12520, 244, 1186, 2627, 6452, 5592, 23460, 1214, 1952, 7615, 13640, 9670, 1176, 1199, 1188, 1997, 3291, 3297, 119, 4172, 1200, 2759, 1299, 6711, 1125, 14141, 7114, 2416, 1967, 10277, 121, 1768, 1299, 1189, 2175, 244, 4788, 2038, 15006, 1167, 1189, 6711, 15006, 1125, 1158, 30177, 16704, 4788, 1926, 4911, 18991, 1125, 1158, 2482, 9029, 1484, 25907, 16704, 4788, 1926, 4911, 18991, 1125, 1158, 2482, 12689, 18868, 1146, 16704, 4788, 1926, 4911, 18991, 1167, 1125, 1158, 1997, 3291, 3297, 18868, 1926, 13309, 28033, 1527, 1299, 1189, 6711, 20840, 1576, 1768, 1299, 1189, 8466, 2388, 1125, 19310, 1200, 2759, 119, 30530, 1125, 1209, 1484, 18664, 119, 1167, 1197, 1931, 9715, 1227, 4151, 2307, 2428, 7451, 1233, 6828, 22439, 5007, 1322, 2379, 1227, 4151, 2307, 2428, 116, 1167, 4172, 1192, 1412, 4414, 4172, 1200, 2759, 3031, 2445, 9503, 1197, 22106, 7993, 17249, 1125, 1997, 3291, 3297, 119, 1125, 1158, 16795, 1125, 1198, 3299, 1634, 1167, 1125, 1158, 14214, 3176, 15567, 7933, 20104, 116, 1167, 6513, 1125, 1158, 23389, 1366, 1125, 14141, 22799, 2662, 13309, 1188, 1997, 3291, 3297, 1167, 1188, 6279, 1343, 1807, 121, 3225, 1793, 16970, 2357, 1527, 5909, 1158, 8959, 2391, 1125, 5087, 12420, 2032, 4542, 3747, 1256, 8275, 12567, 1189, 15506, 2391, 1125, 1158, 4971, 1227, 3151, 27214, 1125, 6545, 1317, 20873, 3202, 1132, 14419, 11662, 1125, 2722, 2171, 196, 1186, 488, 124, 132, 123, 123, 121, 1768, 15644, 1370, 2445, 1125, 1158, 28273, 1167, 1197, 23070, 1188, 1909, 4898, 11708, 1457, 2576, 1515, 1125, 1909, 1114, 283, 4995, 4670, 1214, 30541, 1200, 2759, 119, 1299, 1318, 3647, 1123, 5578, 1125, 8792, 1153, 1460, 6172, 6407, 109, 17874, 2032, 1984, 12258, 1299, 1557, 3649, 1188, 4633, 2775, 8353, 1284, 1352, 2057, 1884, 1227, 488, 7328, 1594, 13640, 1186, 2578, 488, 124, 132, 124, 124, 121, 1548, 5495, 1110, 4795, 14756, 24853, 1768, 1299, 4541, 1188, 1594, 10081, 1125, 1997, 3291, 3297, 1170, 488, 124, 123, 2584, 488, 124, 132, 124, 129, 1167, 1299, 6575, 1568, 1317, 23943, 1165, 1320, 1130, 1884, 1188, 1997, 3291, 3297, 121, 32001, 1424, 32000, 20036, 2278, 3644, 20330, 1200, 2759, 24051, 1170, 488, 488, 124, 131, 127, 127, 1167, 4541, 1170, 488, 488, 124, 132, 124, 129, 116, 1299, 1189, 11080, 1929, 8403, 9918, 1256, 2782, 16098, 1170, 3151, 22582, 1728, 1188, 1138, 1415, 1388, 4499, 244, 1856, 13652, 1317, 30211, 25167, 4780, 4172, 1200, 2759, 9900, 1188, 14141, 4966, 9660, 1188, 1997, 3291, 3297, 1186, 4083, 1309, 1116, 1298, 1349, 1657, 1768, 1299, 2445, 15006, 1313, 1561, 9287, 1186, 4083, 1309, 6711, 1125, 1594, 2231, 183, 8222, 9503, 1125, 6344, 10773, 16287, 1167, 6711, 1125, 9628, 17104, 3447, 1457, 1200, 2759, 11080, 176, 1167, 18764, 1189, 31331, 1256, 1440, 1357, 1299, 15112, 1856, 1170, 3151, 22582, 1728, 1188, 1138, 1415, 1186, 488, 124, 131, 131, 131, 119, 1723, 1594, 24177, 6739, 1382, 1913, 5514, 6657, 1167, 1170, 31331, 1110, 19461, 1215, 2217, 1187, 1657, 1548, 22582, 1728, 1188, 1138, 1415, 11990, 2934, 3063, 193, 12884, 1408, 14429, 1186, 488, 124, 132, 126, 131, 119, 1215, 1200, 14381, 197, 183, 254, 25669, 254, 119, 2750, 1158, 4541, 1125, 1200, 2759, 8509, 244, 2479, 1125, 2492, 1167, 9245, 4172, 1200, 2759, 1139, 6146, 1188, 1997, 3291, 3297, 1170, 488, 126, 2822, 488, 124, 131, 127, 127, 119, 1125, 4172, 9846, 1200, 2759, 1167, 19038, 15065, 1479, 9599, 2893, 4422, 16639, 1768, 1844, 1909, 8787, 1188, 1997, 3291, 3297, 119, 1299, 7628, 255, 7749, 1125, 1158, 1997, 3291, 3297, 6815, 5761, 119, 2648, 8833, 1849, 30211, 25167, 4780, 8776, 1199, 1189, 19860, 1125, 3090, 1313, 1158, 9853, 1125, 488, 124, 131, 129, 129, 121, 1266, 23726, 1317, 15756, 1334, 1227, 21836, 1125, 1173, 3205, 22843, 1170, 488, 124, 131, 2749, 488, 124, 131, 129, 130, 119, 1527, 30686, 1123, 6349, 1909, 8787, 1125, 3090, 1313, 1170, 13078, 10885, 8376, 1293, 1573, 1105, 1673, 10427, 119, 1723, 4040, 1123, 6349, 1125, 12533, 1594, 9159, 1313, 1158, 2453, 8079, 7441, 1653, 488, 124, 131, 130, 124, 119, 1527, 16773, 1594, 9159, 1186, 30375, 1256, 14141, 4966, 9660, 1186, 4083, 1309, 1116, 1298, 23399, 21860, 121, 4511, 1158, 4541, 1125, 1594, 9159, 1186, 488, 124, 131, 130, 127, 119, 4172, 1200, 2759, 14568, 1594, 8536, 1125, 1116, 1298, 23399, 1167, 4933, 1188, 1440, 8536, 7328, 1561, 23598, 1186, 488, 124, 131, 132, 128, 1256, 1197, 8852, 1125, 4509, 6649, 17587, 16894, 30730, 1215, 1207, 24177, 1285, 4172, 1200, 2759, 18764, 1170, 488, 126, 123, 2822, 488, 124, 131, 131, 131, 1170, 3151, 31331, 25232, 1664, 126, 132, 125, 123, 127, 129, 116, 1256, 1189, 22582, 1728, 1188, 1138, 1415, 26639, 16636, 1125, 31011, 1189, 11314, 12904, 12249, 10580, 12904, 25485, 1300, 1197, 3519, 1186, 5944, 7763, 1440, 1309, 1288, 28661, 1382, 1982, 1207, 18473, 1180, 1264, 4437, 3042, 2107, 5996, 1548, 22582, 1728, 1125, 1200, 2759, 12262, 1318, 5715, 1138, 1415, 12321, 1374, 9576, 18153, 4211, 1277, 1186, 2320, 1215, 1318, 2404, 28812, 3762, 1170, 3063, 193, 3174, 1527, 5698, 2232, 121, 8673, 1309, 1594, 24177, 10633, 1823, 13409, 1256, 1557, 3393, 1197, 21485, 16342, 1277, 3027, 1856, 1170, 5944, 7763, 1856, 1527, 8425, 1370, 27215, 3504, 4353, 2399, 8135, 1305, 10641, 4202, 6596, 27422, 1256, 6577, 12249, 1125, 2866, 25869, 11567, 3128, 4053, 9979, 3701, 1594, 18343, 1299, 2377, 244, 1147, 16766, 186, 1348, 1167, 1170, 31331, 1299, 12048, 12520, 244, 1186, 2627, 6452, 5592, 23460, 1214, 1952, 7615, 13640, 9670, 1176, 1199, 1188, 1997, 3291, 3297, 119, 4172, 1200, 2759, 1299, 6711, 1125, 14141, 7114, 2416, 1967, 10277, 121, 1768, 1299, 1189, 2175, 244, 4788, 2038, 15006, 1167, 1189, 6711, 15006, 1125, 1158, 30177, 16704, 4788, 1926, 4911, 18991, 1125, 1158, 2482, 9029, 1484, 25907, 16704, 4788, 1926, 4911, 18991, 1125, 1158, 2482, 12689, 18868, 1146, 16704, 4788, 1926, 4911, 18991, 1167, 1125, 1158, 1997, 3291, 3297, 18868, 1926, 13309, 28033, 1527, 1299, 1189, 6711, 20840, 1576, 1768, 1299, 1189, 8466, 2388, 1125, 19310, 1200, 2759, 119, 30530, 1125, 1209, 1484, 18664, 119, 1167, 1197, 1931, 9715, 1227, 4151, 2307, 2428, 7451, 1233, 6828, 22439, 5007, 1322, 2379, 1227, 4151, 2307, 2428, 116, 1167, 4172, 1192, 1412, 4414, 4172, 1200, 2759, 3031, 2445, 9503, 1197, 22106, 7993, 17249, 1125, 1997, 3291, 3297, 119, 1125, 1158, 16795, 1125, 1198, 3299, 1634, 1167, 1125, 1158, 14214, 3176, 15567, 7933, 20104, 116, 1167, 6513, 1125, 1158, 23389, 1366, 1125, 14141, 22799, 2662, 13309, 1188, 1997, 3291, 3297, 1167, 1188, 6279, 1343, 1807, 121, 3225, 1793, 16970, 2357, 1527, 5909, 1158, 8959, 2391, 1125, 5087, 12420, 2032, 4542, 3747, 1256, 8275, 12567, 1189, 15506, 2391, 1125, 1158, 4971, 1227, 3151, 27214, 1125, 6545, 1317, 20873, 3202, 1132, 14419, 11662, 1125, 2722, 2171, 196, 1186, 488, 124, 132, 123, 123, 121, 1768, 15644, 1370, 2445, 1125, 1158, 28273, 1167, 1197, 23070, 1188, 1909, 4898, 11708, 1457, 2576, 1515, 1125, 1909, 1114, 283, 4995, 4670, 1214, 30541, 1200, 2759, 119, 1299, 1318, 3647, 1123, 5578, 1125, 8792, 1153, 1460, 6172, 6407, 109, 17874, 2032, 1984, 12258, 1299, 1557, 3649, 1188, 4633, 2775, 8353, 1284, 1352, 2057, 1884, 1227, 488, 7328, 1594, 13640, 1186, 2578, 488, 124, 132, 124, 124, 121, 1548, 5495, 1110, 4795, 14756, 24853, 1768, 1299, 4541, 1188, 1594, 10081, 1125, 1997, 3291, 3297, 1170, 488, 124, 123, 2584, 488, 124, 132, 124, 129, 1167, 1299, 6575, 1568, 1317, 23943, 1165, 1320, 1130, 1884, 1188, 1997, 3291, 3297, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 20330, 1200, 2759, 24051, 1170, 488, 488, 124, 131, 127, 127, 1167, 4541, 1170, 488, 488, 124, 132, 124, 129, 116, 1299, 1189, 11080, 1929, 8403, 9918, 1256, 2782, 16098, 1170, 3151, 22582, 1728, 1188, 1138, 1415, 1388, 4499, 244, 1856, 13652, 1317, 30211, 25167, 4780, 4172, 1200, 2759, 9900, 1188, 14141, 4966, 9660, 1188, 1997, 3291, 3297, 1186, 4083, 1309, 1116, 1298, 1349, 1657, 1768, 1299, 2445, 15006, 1313, 1561, 9287, 1186, 4083, 1309, 6711, 1125, 1594, 2231, 183, 8222, 9503, 1125, 6344, 10773, 16287, 1167, 6711, 1125, 9628, 17104, 3447, 1457, 1200, 2759, 11080, 176, 1167, 18764, 1189, 31331, 1256, 1440, 1357, 1299, 15112, 1856, 1170, 3151, 22582, 1728, 1188, 1138, 1415, 1186, 488, 124, 131, 131, 131, 119, 1723, 1594, 24177, 6739, 1382, 1913, 5514, 6657, 1167, 1170, 31331, 1110, 19461, 1215, 2217, 1187, 1657, 1548, 22582, 1728, 1188, 1138, 1415, 11990, 2934, 3063, 193, 12884, 1408, 14429, 1186, 488, 124, 132, 126, 131, 119, 1215, 1200, 14381, 197, 183, 254, 25669, 254, 119, 2750, 1158, 4541, 1125, 1200, 2759, 8509, 244, 2479, 1125, 2492, 1167, 9245, 4172, 1200, 2759, 1139, 6146, 1188, 1997, 3291, 3297, 1170, 488, 126, 2822, 488, 124, 131, 127, 127, 119, 1125, 4172, 9846, 1200, 2759, 1167, 19038, 15065, 1479, 9599, 2893, 4422, 16639, 1768, 1844, 1909, 8787, 1188, 1997, 3291, 3297, 119, 1299, 7628, 255, 7749, 1125, 1158, 1997, 3291, 3297, 6815, 5761, 119, 2648, 8833, 1849, 30211, 25167, 4780, 8776, 1199, 1189, 19860, 1125, 3090, 1313, 1158, 9853, 1125, 488, 124, 131, 129, 129, 121, 1266, 23726, 1317, 15756, 1334, 1227, 21836, 1125, 1173, 3205, 22843, 1170, 488, 124, 131, 2749, 488, 124, 131, 129, 130, 119, 1527, 30686, 1123, 6349, 1909, 8787, 1125, 3090, 1313, 1170, 13078, 10885, 8376, 1293, 1573, 1105, 1673, 10427, 119, 1723, 4040, 1123, 6349, 1125, 12533, 1594, 9159, 1313, 1158, 2453, 8079, 7441, 1653, 488, 124, 131, 130, 124, 119, 1527, 16773, 1594, 9159, 1186, 30375, 1256, 14141, 4966, 9660, 1186, 4083, 1309, 1116, 1298, 23399, 21860, 121, 4511, 1158, 4541, 1125, 1594, 9159, 1186, 488, 124, 131, 130, 127, 119, 4172, 1200, 2759, 14568, 1594, 8536, 1125, 1116, 1298, 23399, 1167, 4933, 1188, 1440, 8536, 7328, 1561, 23598, 1186, 488, 124, 131, 132, 128, 1256, 1197, 8852, 1125, 4509, 6649, 17587, 16894, 30730, 1215, 1207, 24177, 1285, 4172, 1200, 2759, 18764, 1170, 488, 126, 123, 2822, 488, 124, 131, 131, 131, 1170, 3151, 31331, 25232, 1664, 126, 132, 125, 123, 127, 129, 116, 1256, 1189, 22582, 1728, 1188, 1138, 1415, 26639, 16636, 1125, 31011, 1189, 11314, 12904, 12249, 10580, 12904, 25485, 1300, 1197, 3519, 1186, 5944, 7763, 1440, 1309, 1288, 28661, 1382, 1982, 1207, 18473, 1180, 1264, 4437, 3042, 2107, 5996, 1548, 22582, 1728, 1125, 1200, 2759, 12262, 1318, 5715, 1138, 1415, 12321, 1374, 9576, 18153, 4211, 1277, 1186, 2320, 1215, 1318, 2404, 28812, 3762, 1170, 3063, 193, 3174, 1527, 5698, 2232, 121, 8673, 1309, 1594, 24177, 10633, 1823, 13409, 1256, 1557, 3393, 1197, 21485, 16342, 1277, 3027, 1856, 1170, 5944, 7763, 1856, 1527, 8425, 1370, 27215, 3504, 4353, 2399, 8135, 1305, 10641, 4202, 6596, 27422, 1256, 6577, 12249, 1125, 2866, 25869, 11567, 3128, 4053, 9979, 3701, 1594, 18343, 1299, 2377, 244, 1147, 16766, 186, 1348, 1167, 1170, 31331, 1299, 12048, 12520, 244, 1186, 2627, 6452, 5592, 23460, 1214, 1952, 7615, 13640, 9670, 1176, 1199, 1188, 1997, 3291, 3297, 119, 4172, 1200, 2759, 1299, 6711, 1125, 14141, 7114, 2416, 1967, 10277, 121, 1768, 1299, 1189, 2175, 244, 4788, 2038, 15006, 1167, 1189, 6711, 15006, 1125, 1158, 30177, 16704, 4788, 1926, 4911, 18991, 1125, 1158, 2482, 9029, 1484, 25907, 16704, 4788, 1926, 4911, 18991, 1125, 1158, 2482, 12689, 18868, 1146, 16704, 4788, 1926, 4911, 18991, 1167, 1125, 1158, 1997, 3291, 3297, 18868, 1926, 13309, 28033, 1527, 1299, 1189, 6711, 20840, 1576, 1768, 1299, 1189, 8466, 2388, 1125, 19310, 1200, 2759, 119, 30530, 1125, 1209, 1484, 18664, 119, 1167, 1197, 1931, 9715, 1227, 4151, 2307, 2428, 7451, 1233, 6828, 22439, 5007, 1322, 2379, 1227, 4151, 2307, 2428, 116, 1167, 4172, 1192, 1412, 4414, 4172, 1200, 2759, 3031, 2445, 9503, 1197, 22106, 7993, 17249, 1125, 1997, 3291, 3297, 119, 1125, 1158, 16795, 1125, 1198, 3299, 1634, 1167, 1125, 1158, 14214, 3176, 15567, 7933, 20104, 116, 1167, 6513, 1125, 1158, 23389, 1366, 1125, 14141, 22799, 2662, 13309, 1188, 1997, 3291, 3297, 1167, 1188, 6279, 1343, 1807, 121, 3225, 1793, 16970, 2357, 1527, 5909, 1158, 8959, 2391, 1125, 5087, 12420, 2032, 4542, 3747, 1256, 8275, 12567, 1189, 15506, 2391, 1125, 1158, 4971, 1227, 3151, 27214, 1125, 6545, 1317, 20873, 3202, 1132, 14419, 11662, 1125, 2722, 2171, 196, 1186, 488, 124, 132, 123, 123, 121, 1768, 15644, 1370, 2445, 1125, 1158, 28273, 1167, 1197, 23070, 1188, 1909, 4898, 11708, 1457, 2576, 1515, 1125, 1909, 1114, 283, 4995, 4670, 1214, 30541, 1200, 2759, 119, 1299, 1318, 3647, 1123, 5578, 1125, 8792, 1153, 1460, 6172, 6407, 109, 17874, 2032, 1984, 12258, 1299, 1557, 3649, 1188, 4633, 2775, 8353, 1284, 1352, 2057, 1884, 1227, 488, 7328, 1594, 13640, 1186, 2578, 488, 124, 132, 124, 124, 121, 1548, 5495, 1110, 4795, 14756, 24853, 1768, 1299, 4541, 1188, 1594, 10081, 1125, 1997, 3291, 3297, 1170, 488, 124, 123, 2584, 488, 124, 132, 124, 129, 1167, 1299, 6575, 1568, 1317, 23943, 1165, 1320, 1130, 1884, 1188, 1997, 3291, 3297, 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, 22658, 186, 274, 13467, 2284, 1299, 1189, 5878, 15601, 13180, 174, 15974, 1186, 488, 124, 132, 124, 127, 119, 1167, 20031, 1188, 1209, 20433, 16637, 121, 1768, 1299, 3747, 9918, 1256, 1909, 10431, 1125, 3035, 4279, 3891, 119, 25471, 1167, 7711, 1317, 4041, 23303, 20481, 1424, 216, 3862, 1125, 1158, 6311, 13624, 1227, 488, 124, 132, 2247, 19565, 1158, 9287, 16877, 1244, 1125, 19277, 1109, 2193, 1110, 15974, 1125, 5087, 14596, 25539, 1167, 20912, 1197, 5736, 31490, 1856, 1207, 6578, 1113, 1452, 18190, 1199, 1109, 1273, 12913, 1262, 1297, 1653, 488, 124, 131, 130, 130, 1299, 15974, 18163, 2719, 1467, 10710, 7879, 1188, 22658, 186, 274, 183, 4353, 2205, 15006, 22571, 488, 124, 132, 125, 125, 119, 3110, 1188, 5685, 1527, 1110, 1913, 9778, 244, 1125, 14137, 1107, 2797, 8263, 1215, 1207, 12653, 16287, 9663, 2839, 186, 274, 13467, 2284, 1299, 15974, 1186, 488, 124, 132, 124, 127, 2290, 1170, 1874, 24334, 15565, 16877, 1244, 1125, 7711, 1167, 1971, 1343, 7581, 6113, 1197, 1408, 16827, 14596, 9760, 29277, 4536, 1125, 1158, 25109, 7155, 19660, 1125, 1158, 7732, 1125, 28237, 1186, 488, 124, 132, 125, 126, 119, 1527, 1299, 2674, 23726, 1202, 1797, 12943, 7879, 1167, 1408, 7959, 1313, 16541, 2806, 22658, 186, 274, 13467, 1715, 1388, 149, 1153, 6055, 1108, 488, 124, 132, 125, 129, 119, 17283, 1227, 5878, 3031, 20936, 1313, 1170, 29833, 1483, 11051, 8001, 1227, 1306, 2719, 1467, 14919, 121, 14019, 2750, 488, 124, 132, 125, 129, 1170, 5878, 1281, 17480, 1313, 1170, 12685, 1125, 19473, 1125, 1360, 20241, 1348, 1197, 1106, 2550, 1125, 1202, 1797, 119, 2445, 8446, 1313, 1158, 3734, 1125, 22658, 186, 274, 183, 7258, 4511, 1282, 5668, 3603, 22658, 186, 274, 13467, 2284, 1281, 3647, 1370, 1125, 2069, 21761, 1257, 1189, 1256, 1170, 7711, 1167, 1189, 1256, 1158, 29833, 1141, 17285, 6487, 14429, 1197, 15490, 10251, 1167, 5703, 1965, 1167, 1186, 488, 124, 132, 125, 129, 25471, 1167, 3035, 4279, 2687, 14111, 1508, 2180, 1473, 8732, 2388, 1594, 7635, 119, 1207, 15490, 1227, 5878, 1508, 17836, 1462, 1473, 2391, 1125, 6344, 15142, 1297, 1643, 4960, 3035, 4279, 27389, 1227, 22658, 186, 274, 13467, 2284, 3031, 14765, 1197, 10431, 1207, 1408, 2352, 12854, 1125, 28237, 1313, 1207, 4092, 488, 124, 132, 127, 123, 1167, 488, 124, 132, 128, 123, 119, 1167, 10796, 18241, 172, 3171, 16277, 1125, 28237, 1125, 3035, 4279, 27389, 31852, 1188, 1816, 4927, 121, 2576, 4969, 1125, 7711, 8524, 1123, 1188, 8240, 1318, 7031, 24501, 2320, 1186, 15696, 21615, 20433, 16637, 1125, 7711, 1186, 488, 124, 132, 127, 128, 119, 1167, 1313, 1207, 4092, 488, 124, 132, 129, 123, 119, 2399, 13300, 1188, 1158, 1173, 262, 1403, 1200, 27619, 1808, 8758, 1197, 23541, 1392, 1167, 4637, 1285, 1856, 14187, 1539, 2858, 1212, 3366, 7934, 1518, 1119, 1569, 3366, 14187, 29264, 197, 1569, 3366, 7747, 8009, 1482, 119, 2004, 19680, 1189, 6315, 6270, 1199, 1313, 2008, 6728, 18424, 1867, 14974, 21814, 2274, 1634, 11776, 183, 12202, 1281, 1508, 13695, 17993, 1188, 1158, 2768, 1317, 4041, 16877, 1723, 2445, 1317, 4041, 4578, 119, 1856, 1170, 14045, 1227, 2854, 6111, 1132, 1389, 8529, 23398, 1167, 4755, 8946, 12243, 1125, 10796, 16877, 1244, 6111, 1132, 1389, 8529, 1142, 2620, 4852, 1180, 1209, 1569, 1651, 1118, 8732, 1273, 2344, 1348, 12616, 10597, 1197, 26229, 6096, 19053, 1125, 1158, 9287, 16877, 1244, 1125, 1158, 25109, 14019, 22658, 186, 274, 13467, 2284, 2985, 1170, 7873, 1979, 2519, 15516, 27325, 1227, 2510, 1125, 1909, 26229, 3672, 1318, 4927, 2585, 1548, 2090, 1518, 262, 242, 262, 182, 1265, 3994, 1217, 3366, 1189, 10952, 1125, 7711, 16877, 1167, 1189, 1197, 8199, 12012, 1125, 28237, 1313, 1207, 4092, 488, 124, 132, 128, 123, 1167, 488, 124, 132, 129, 123, 119, 3227, 1370, 1256, 1170, 1252, 1944, 173, 2194, 242, 1965, 22465, 1199, 1158, 10597, 1125, 1158, 9287, 16877, 1244, 2032, 3701, 1357, 3744, 172, 8369, 10865, 1594, 8780, 1300, 1170, 1252, 1944, 173, 2194, 242, 176, 1388, 6921, 18183, 11934, 2365, 7711, 1424, 15539, 13300, 3747, 1317, 26389, 1125, 28237, 1125, 7711, 488, 124, 132, 129, 126, 120, 124, 132, 129, 127, 7745, 2365, 3035, 4279, 3891, 11934, 2365, 25471, 11050, 1276, 183, 12202, 1375, 2234, 1424, 2330, 7464, 1180, 1209, 1569, 1651, 1118, 1295, 262, 182, 189, 262, 1293, 262, 1328, 2982, 4981, 24981, 6975, 1531, 1141, 4273, 18716, 1614, 1117, 1285, 4981, 24981, 1530, 1126, 182, 1180, 29739, 2323, 1176, 3366, 4981, 24981, 13459, 2072, 1424, 150, 8335, 30982, 286, 1173, 16573, 1189, 3419, 5878, 15601, 16939, 20433, 16637, 15974, 1215, 1158, 9287, 16877, 5161, 3295, 1186, 8263, 11488, 1167, 5474, 2093, 2809, 1287, 9760, 29277, 4536, 1186, 28237, 11049, 1287, 15601, 1188, 1209, 20433, 16637, 11049, 1287, 1125, 7711, 1188, 1209, 20433, 16637, 11049, 1287, 15601, 15974, 1186, 488, 124, 132, 124, 127, 24357, 1197, 1293, 3376, 190, 1186, 28237, 32001, 1424, 32000, 20036, 2359, 22658, 186, 274, 13467, 2284, 1299, 1189, 5878, 15601, 13180, 174, 15974, 1186, 488, 124, 132, 124, 127, 119, 1167, 20031, 1188, 1209, 20433, 16637, 121, 1768, 1299, 3747, 9918, 1256, 1909, 10431, 1125, 3035, 4279, 3891, 119, 25471, 1167, 7711, 1317, 4041, 23303, 20481, 1424, 216, 3862, 1125, 1158, 6311, 13624, 1227, 488, 124, 132, 2247, 19565, 1158, 9287, 16877, 1244, 1125, 19277, 1109, 2193, 1110, 15974, 1125, 5087, 14596, 25539, 1167, 20912, 1197, 5736, 31490, 1856, 1207, 6578, 1113, 1452, 18190, 1199, 1109, 1273, 12913, 1262, 1297, 1653, 488, 124, 131, 130, 130, 1299, 15974, 18163, 2719, 1467, 10710, 7879, 1188, 22658, 186, 274, 183, 4353, 2205, 15006, 22571, 488, 124, 132, 125, 125, 119, 3110, 1188, 5685, 1527, 1110, 1913, 9778, 244, 1125, 14137, 1107, 2797, 8263, 1215, 1207, 12653, 16287, 9663, 2839, 186, 274, 13467, 2284, 1299, 15974, 1186, 488, 124, 132, 124, 127, 2290, 1170, 1874, 24334, 15565, 16877, 1244, 1125, 7711, 1167, 1971, 1343, 7581, 6113, 1197, 1408, 16827, 14596, 9760, 29277, 4536, 1125, 1158, 25109, 7155, 19660, 1125, 1158, 7732, 1125, 28237, 1186, 488, 124, 132, 125, 126, 119, 1527, 1299, 2674, 23726, 1202, 1797, 12943, 7879, 1167, 1408, 7959, 1313, 16541, 2806, 22658, 186, 274, 13467, 1715, 1388, 149, 1153, 6055, 1108, 488, 124, 132, 125, 129, 119, 17283, 1227, 5878, 3031, 20936, 1313, 1170, 29833, 1483, 11051, 8001, 1227, 1306, 2719, 1467, 14919, 121, 14019, 2750, 488, 124, 132, 125, 129, 1170, 5878, 1281, 17480, 1313, 1170, 12685, 1125, 19473, 1125, 1360, 20241, 1348, 1197, 1106, 2550, 1125, 1202, 1797, 119, 2445, 8446, 1313, 1158, 3734, 1125, 22658, 186, 274, 183, 7258, 4511, 1282, 5668, 3603, 22658, 186, 274, 13467, 2284, 1281, 3647, 1370, 1125, 2069, 21761, 1257, 1189, 1256, 1170, 7711, 1167, 1189, 1256, 1158, 29833, 1141, 17285, 6487, 14429, 1197, 15490, 10251, 1167, 5703, 1965, 1167, 1186, 488, 124, 132, 125, 129, 25471, 1167, 3035, 4279, 2687, 14111, 1508, 2180, 1473, 8732, 2388, 1594, 7635, 119, 1207, 15490, 1227, 5878, 1508, 17836, 1462, 1473, 2391, 1125, 6344, 15142, 1297, 1643, 4960, 3035, 4279, 27389, 1227, 22658, 186, 274, 13467, 2284, 3031, 14765, 1197, 10431, 1207, 1408, 2352, 12854, 1125, 28237, 1313, 1207, 4092, 488, 124, 132, 127, 123, 1167, 488, 124, 132, 128, 123, 119, 1167, 10796, 18241, 172, 3171, 16277, 1125, 28237, 1125, 3035, 4279, 27389, 31852, 1188, 1816, 4927, 121, 2576, 4969, 1125, 7711, 8524, 1123, 1188, 8240, 1318, 7031, 24501, 2320, 1186, 15696, 21615, 20433, 16637, 1125, 7711, 1186, 488, 124, 132, 127, 128, 119, 1167, 1313, 1207, 4092, 488, 124, 132, 129, 123, 119, 2399, 13300, 1188, 1158, 1173, 262, 1403, 1200, 27619, 1808, 8758, 1197, 23541, 1392, 1167, 4637, 1285, 1856, 14187, 1539, 2858, 1212, 3366, 7934, 1518, 1119, 1569, 3366, 14187, 29264, 197, 1569, 3366, 7747, 8009, 1482, 119, 2004, 19680, 1189, 6315, 6270, 1199, 1313, 2008, 6728, 18424, 1867, 14974, 21814, 2274, 1634, 11776, 183, 12202, 1281, 1508, 13695, 17993, 1188, 1158, 2768, 1317, 4041, 16877, 1723, 2445, 1317, 4041, 4578, 119, 1856, 1170, 14045, 1227, 2854, 6111, 1132, 1389, 8529, 23398, 1167, 4755, 8946, 12243, 1125, 10796, 16877, 1244, 6111, 1132, 1389, 8529, 1142, 2620, 4852, 1180, 1209, 1569, 1651, 1118, 8732, 1273, 2344, 1348, 12616, 10597, 1197, 26229, 6096, 19053, 1125, 1158, 9287, 16877, 1244, 1125, 1158, 25109, 14019, 22658, 186, 274, 13467, 2284, 2985, 1170, 7873, 1979, 2519, 15516, 27325, 1227, 2510, 1125, 1909, 26229, 3672, 1318, 4927, 2585, 1548, 2090, 1518, 262, 242, 262, 182, 1265, 3994, 1217, 3366, 1189, 10952, 1125, 7711, 16877, 1167, 1189, 1197, 8199, 12012, 1125, 28237, 1313, 1207, 4092, 488, 124, 132, 128, 123, 1167, 488, 124, 132, 129, 123, 119, 3227, 1370, 1256, 1170, 1252, 1944, 173, 2194, 242, 1965, 22465, 1199, 1158, 10597, 1125, 1158, 9287, 16877, 1244, 2032, 3701, 1357, 3744, 172, 8369, 10865, 1594, 8780, 1300, 1170, 1252, 1944, 173, 2194, 242, 176, 1388, 6921, 18183, 11934, 2365, 7711, 1424, 15539, 13300, 3747, 1317, 26389, 1125, 28237, 1125, 7711, 488, 124, 132, 129, 126, 120, 124, 132, 129, 127, 7745, 2365, 3035, 4279, 3891, 11934, 2365, 25471, 11050, 1276, 183, 12202, 1375, 2234, 1424, 2330, 7464, 1180, 1209, 1569, 1651, 1118, 1295, 262, 182, 189, 262, 1293, 262, 1328, 2982, 4981, 24981, 6975, 1531, 1141, 4273, 18716, 1614, 1117, 1285, 4981, 24981, 1530, 1126, 182, 1180, 29739, 2323, 1176, 3366, 4981, 24981, 13459, 2072, 1424, 150, 8335, 30982, 286, 1173, 16573, 1189, 3419, 5878, 15601, 16939, 20433, 16637, 15974, 1215, 1158, 9287, 16877, 5161, 3295, 1186, 8263, 11488, 1167, 5474, 2093, 2809, 1287, 9760, 29277, 4536, 1186, 28237, 11049, 1287, 15601, 1188, 1209, 20433, 16637, 11049, 1287, 1125, 7711, 1188, 1209, 20433, 16637, 11049, 1287, 15601, 15974, 1186, 488, 124, 132, 124, 127, 24357, 1197, 1293, 3376, 190, 1186, 28237, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 22658, 186, 274, 13467, 2284, 1299, 1189, 5878, 15601, 13180, 174, 15974, 1186, 488, 124, 132, 124, 127, 119, 1167, 20031, 1188, 1209, 20433, 16637, 121, 1768, 1299, 3747, 9918, 1256, 1909, 10431, 1125, 3035, 4279, 3891, 119, 25471, 1167, 7711, 1317, 4041, 23303, 20481, 1424, 216, 3862, 1125, 1158, 6311, 13624, 1227, 488, 124, 132, 2247, 19565, 1158, 9287, 16877, 1244, 1125, 19277, 1109, 2193, 1110, 15974, 1125, 5087, 14596, 25539, 1167, 20912, 1197, 5736, 31490, 1856, 1207, 6578, 1113, 1452, 18190, 1199, 1109, 1273, 12913, 1262, 1297, 1653, 488, 124, 131, 130, 130, 1299, 15974, 18163, 2719, 1467, 10710, 7879, 1188, 22658, 186, 274, 183, 4353, 2205, 15006, 22571, 488, 124, 132, 125, 125, 119, 3110, 1188, 5685, 1527, 1110, 1913, 9778, 244, 1125, 14137, 1107, 2797, 8263, 1215, 1207, 12653, 16287, 9663, 2839, 186, 274, 13467, 2284, 1299, 15974, 1186, 488, 124, 132, 124, 127, 2290, 1170, 1874, 24334, 15565, 16877, 1244, 1125, 7711, 1167, 1971, 1343, 7581, 6113, 1197, 1408, 16827, 14596, 9760, 29277, 4536, 1125, 1158, 25109, 7155, 19660, 1125, 1158, 7732, 1125, 28237, 1186, 488, 124, 132, 125, 126, 119, 1527, 1299, 2674, 23726, 1202, 1797, 12943, 7879, 1167, 1408, 7959, 1313, 16541, 2806, 22658, 186, 274, 13467, 1715, 1388, 149, 1153, 6055, 1108, 488, 124, 132, 125, 129, 119, 17283, 1227, 5878, 3031, 20936, 1313, 1170, 29833, 1483, 11051, 8001, 1227, 1306, 2719, 1467, 14919, 121, 14019, 2750, 488, 124, 132, 125, 129, 1170, 5878, 1281, 17480, 1313, 1170, 12685, 1125, 19473, 1125, 1360, 20241, 1348, 1197, 1106, 2550, 1125, 1202, 1797, 119, 2445, 8446, 1313, 1158, 3734, 1125, 22658, 186, 274, 183, 7258, 4511, 1282, 5668, 3603, 22658, 186, 274, 13467, 2284, 1281, 3647, 1370, 1125, 2069, 21761, 1257, 1189, 1256, 1170, 7711, 1167, 1189, 1256, 1158, 29833, 1141, 17285, 6487, 14429, 1197, 15490, 10251, 1167, 5703, 1965, 1167, 1186, 488, 124, 132, 125, 129, 25471, 1167, 3035, 4279, 2687, 14111, 1508, 2180, 1473, 8732, 2388, 1594, 7635, 119, 1207, 15490, 1227, 5878, 1508, 17836, 1462, 1473, 2391, 1125, 6344, 15142, 1297, 1643, 4960, 3035, 4279, 27389, 1227, 22658, 186, 274, 13467, 2284, 3031, 14765, 1197, 10431, 1207, 1408, 2352, 12854, 1125, 28237, 1313, 1207, 4092, 488, 124, 132, 127, 123, 1167, 488, 124, 132, 128, 123, 119, 1167, 10796, 18241, 172, 3171, 16277, 1125, 28237, 1125, 3035, 4279, 27389, 31852, 1188, 1816, 4927, 121, 2576, 4969, 1125, 7711, 8524, 1123, 1188, 8240, 1318, 7031, 24501, 2320, 1186, 15696, 21615, 20433, 16637, 1125, 7711, 1186, 488, 124, 132, 127, 128, 119, 1167, 1313, 1207, 4092, 488, 124, 132, 129, 123, 119, 2399, 13300, 1188, 1158, 1173, 262, 1403, 1200, 27619, 1808, 8758, 1197, 23541, 1392, 1167, 4637, 1285, 1856, 14187, 1539, 2858, 1212, 3366, 7934, 1518, 1119, 1569, 3366, 14187, 29264, 197, 1569, 3366, 7747, 8009, 1482, 119, 2004, 19680, 1189, 6315, 6270, 1199, 1313, 2008, 6728, 18424, 1867, 14974, 21814, 2274, 1634, 11776, 183, 12202, 1281, 1508, 13695, 17993, 1188, 1158, 2768, 1317, 4041, 16877, 1723, 2445, 1317, 4041, 4578, 119, 1856, 1170, 14045, 1227, 2854, 6111, 1132, 1389, 8529, 23398, 1167, 4755, 8946, 12243, 1125, 10796, 16877, 1244, 6111, 1132, 1389, 8529, 1142, 2620, 4852, 1180, 1209, 1569, 1651, 1118, 8732, 1273, 2344, 1348, 12616, 10597, 1197, 26229, 6096, 19053, 1125, 1158, 9287, 16877, 1244, 1125, 1158, 25109, 14019, 22658, 186, 274, 13467, 2284, 2985, 1170, 7873, 1979, 2519, 15516, 27325, 1227, 2510, 1125, 1909, 26229, 3672, 1318, 4927, 2585, 1548, 2090, 1518, 262, 242, 262, 182, 1265, 3994, 1217, 3366, 1189, 10952, 1125, 7711, 16877, 1167, 1189, 1197, 8199, 12012, 1125, 28237, 1313, 1207, 4092, 488, 124, 132, 128, 123, 1167, 488, 124, 132, 129, 123, 119, 3227, 1370, 1256, 1170, 1252, 1944, 173, 2194, 242, 1965, 22465, 1199, 1158, 10597, 1125, 1158, 9287, 16877, 1244, 2032, 3701, 1357, 3744, 172, 8369, 10865, 1594, 8780, 1300, 1170, 1252, 1944, 173, 2194, 242, 176, 1388, 6921, 18183, 11934, 2365, 7711, 1424, 15539, 13300, 3747, 1317, 26389, 1125, 28237, 1125, 7711, 488, 124, 132, 129, 126, 120, 124, 132, 129, 127, 7745, 2365, 3035, 4279, 3891, 11934, 2365, 25471, 11050, 1276, 183, 12202, 1375, 2234, 1424, 2330, 7464, 1180, 1209, 1569, 1651, 1118, 1295, 262, 182, 189, 262, 1293, 262, 1328, 2982, 4981, 24981, 6975, 1531, 1141, 4273, 18716, 1614, 1117, 1285, 4981, 24981, 1530, 1126, 182, 1180, 29739, 2323, 1176, 3366, 4981, 24981, 13459, 2072, 1424, 150, 8335, 30982, 286, 1173, 16573, 1189, 3419, 5878, 15601, 16939, 20433, 16637, 15974, 1215, 1158, 9287, 16877, 5161, 3295, 1186, 8263, 11488, 1167, 5474, 2093, 2809, 1287, 9760, 29277, 4536, 1186, 28237, 11049, 1287, 15601, 1188, 1209, 20433, 16637, 11049, 1287, 1125, 7711, 1188, 1209, 20433, 16637, 11049, 1287, 15601, 15974, 1186, 488, 124, 132, 124, 127, 24357, 1197, 1293, 3376, 190, 1186, 28237, 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, 161, 1390, 1242, 1299, 1318, 488, 11363, 1227, 21144, 10019, 1186, 2605, 12945, 5650, 9045, 1188, 1557, 1303, 16565, 1167, 27550, 3798, 3450, 1299, 16509, 1188, 23684, 1125, 5584, 1405, 1267, 1215, 1318, 12934, 1303, 7041, 2391, 1197, 1557, 1473, 10844, 1346, 1215, 1318, 18457, 1388, 4303, 2462, 5596, 23684, 17758, 1370, 3997, 488, 129, 123, 3403, 2487, 1170, 1408, 9918, 1197, 11411, 2985, 1282, 24327, 12671, 8471, 5005, 1314, 3032, 1263, 1176, 17659, 2576, 11363, 1299, 2072, 17874, 1256, 1909, 31159, 1125, 4592, 1167, 1909, 19574, 2260, 179, 7569, 2097, 1388, 227, 1126, 1197, 1306, 3727, 22682, 20138, 1842, 106, 227, 1126, 27550, 1303, 1186, 2605, 12945, 1206, 106, 227, 1126, 9045, 1188, 1557, 1303, 16565, 32001, 1424, 32000, 20036, 2073, 1390, 1242, 1299, 1318, 488, 11363, 1227, 21144, 10019, 1186, 2605, 12945, 5650, 9045, 1188, 1557, 1303, 16565, 1167, 27550, 3798, 3450, 1299, 16509, 1188, 23684, 1125, 5584, 1405, 1267, 1215, 1318, 12934, 1303, 7041, 2391, 1197, 1557, 1473, 10844, 1346, 1215, 1318, 18457, 1388, 4303, 2462, 5596, 23684, 17758, 1370, 3997, 488, 129, 123, 3403, 2487, 1170, 1408, 9918, 1197, 11411, 2985, 1282, 24327, 12671, 8471, 5005, 1314, 3032, 1263, 1176, 17659, 2576, 11363, 1299, 2072, 17874, 1256, 1909, 31159, 1125, 4592, 1167, 1909, 19574, 2260, 179, 7569, 2097, 1388, 227, 1126, 1197, 1306, 3727, 22682, 20138, 1842, 106, 227, 1126, 27550, 1303, 1186, 2605, 12945, 1206, 106, 227, 1126, 9045, 1188, 1557, 1303, 16565, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2073, 1390, 1242, 1299, 1318, 488, 11363, 1227, 21144, 10019, 1186, 2605, 12945, 5650, 9045, 1188, 1557, 1303, 16565, 1167, 27550, 3798, 3450, 1299, 16509, 1188, 23684, 1125, 5584, 1405, 1267, 1215, 1318, 12934, 1303, 7041, 2391, 1197, 1557, 1473, 10844, 1346, 1215, 1318, 18457, 1388, 4303, 2462, 5596, 23684, 17758, 1370, 3997, 488, 129, 123, 3403, 2487, 1170, 1408, 9918, 1197, 11411, 2985, 1282, 24327, 12671, 8471, 5005, 1314, 3032, 1263, 1176, 17659, 2576, 11363, 1299, 2072, 17874, 1256, 1909, 31159, 1125, 4592, 1167, 1909, 19574, 2260, 179, 7569, 2097, 1388, 227, 1126, 1197, 1306, 3727, 22682, 20138, 1842, 106, 227, 1126, 27550, 1303, 1186, 2605, 12945, 1206, 106, 227, 1126, 9045, 1188, 1557, 1303, 16565, 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, 1752, 1124, 11453, 12248, 6759, 488, 24051, 1170, 488, 131, 3201, 488, 124, 132, 126, 126, 1188, 9161, 4294, 4000, 1122, 116, 1299, 1189, 11776, 183, 4326, 1362, 1182, 120, 5738, 2082, 15560, 1227, 488, 124, 123, 123, 23882, 25869, 11156, 1535, 3649, 1317, 9161, 4294, 4000, 3331, 1173, 7440, 1527, 4946, 488, 124, 119, 129, 129, 1127, 1256, 488, 128, 131, 14829, 25886, 4096, 12662, 26361, 13935, 8799, 7364, 5825, 11934, 1327, 1109, 1836, 10816, 1530, 1276, 183, 4326, 1362, 1182, 120, 5738, 2082, 1505, 7192, 1136, 1125, 488, 124, 123, 123, 13061, 1750, 18987, 1929, 1175, 1495, 5012, 13780, 12125, 1630, 1849, 1136, 2335, 3783, 22572, 1304, 1495, 5012, 13780, 1530, 1276, 183, 4326, 11759, 4889, 116, 1571, 10765, 19411, 20862, 1125, 488, 124, 132, 128, 129, 1720, 1740, 4586, 244, 1125, 21683, 13461, 1460, 1125, 12547, 15565, 1189, 27379, 5519, 16260, 8156, 1186, 3201, 488, 124, 132, 126, 126, 8156, 1188, 9161, 4294, 4000, 1122, 8156, 1313, 1170, 17220, 3555, 1863, 1507, 32001, 1424, 32000, 20036, 1489, 1752, 1124, 11453, 12248, 6759, 488, 24051, 1170, 488, 131, 3201, 488, 124, 132, 126, 126, 1188, 9161, 4294, 4000, 1122, 116, 1299, 1189, 11776, 183, 4326, 1362, 1182, 120, 5738, 2082, 15560, 1227, 488, 124, 123, 123, 23882, 25869, 11156, 1535, 3649, 1317, 9161, 4294, 4000, 3331, 1173, 7440, 1527, 4946, 488, 124, 119, 129, 129, 1127, 1256, 488, 128, 131, 14829, 25886, 4096, 12662, 26361, 13935, 8799, 7364, 5825, 11934, 1327, 1109, 1836, 10816, 1530, 1276, 183, 4326, 1362, 1182, 120, 5738, 2082, 1505, 7192, 1136, 1125, 488, 124, 123, 123, 13061, 1750, 18987, 1929, 1175, 1495, 5012, 13780, 12125, 1630, 1849, 1136, 2335, 3783, 22572, 1304, 1495, 5012, 13780, 1530, 1276, 183, 4326, 11759, 4889, 116, 1571, 10765, 19411, 20862, 1125, 488, 124, 132, 128, 129, 1720, 1740, 4586, 244, 1125, 21683, 13461, 1460, 1125, 12547, 15565, 1189, 27379, 5519, 16260, 8156, 1186, 3201, 488, 124, 132, 126, 126, 8156, 1188, 9161, 4294, 4000, 1122, 8156, 1313, 1170, 17220, 3555, 1863, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1752, 1124, 11453, 12248, 6759, 488, 24051, 1170, 488, 131, 3201, 488, 124, 132, 126, 126, 1188, 9161, 4294, 4000, 1122, 116, 1299, 1189, 11776, 183, 4326, 1362, 1182, 120, 5738, 2082, 15560, 1227, 488, 124, 123, 123, 23882, 25869, 11156, 1535, 3649, 1317, 9161, 4294, 4000, 3331, 1173, 7440, 1527, 4946, 488, 124, 119, 129, 129, 1127, 1256, 488, 128, 131, 14829, 25886, 4096, 12662, 26361, 13935, 8799, 7364, 5825, 11934, 1327, 1109, 1836, 10816, 1530, 1276, 183, 4326, 1362, 1182, 120, 5738, 2082, 1505, 7192, 1136, 1125, 488, 124, 123, 123, 13061, 1750, 18987, 1929, 1175, 1495, 5012, 13780, 12125, 1630, 1849, 1136, 2335, 3783, 22572, 1304, 1495, 5012, 13780, 1530, 1276, 183, 4326, 11759, 4889, 116, 1571, 10765, 19411, 20862, 1125, 488, 124, 132, 128, 129, 1720, 1740, 4586, 244, 1125, 21683, 13461, 1460, 1125, 12547, 15565, 1189, 27379, 5519, 16260, 8156, 1186, 3201, 488, 124, 132, 126, 126, 8156, 1188, 9161, 4294, 4000, 1122, 8156, 1313, 1170, 17220, 3555, 1863, 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, 1424, 161, 17529, 27728, 1645, 1128, 1172, 25875, 5836, 1518, 1118, 197, 5836, 182, 1314, 7216, 11037, 5252, 1186, 488, 124, 132, 127, 130, 119, 3031, 1189, 9899, 1227, 1518, 9200, 24696, 8640, 1357, 6484, 2968, 2365, 1188, 1158, 7051, 1125, 1198, 244, 9446, 1119, 11903, 3948, 116, 1227, 12386, 28528, 5818, 14898, 1186, 488, 124, 132, 131, 125, 12258, 2976, 172, 1909, 7520, 3327, 1313, 1318, 14976, 30831, 1186, 488, 124, 132, 132, 123, 119, 2290, 1170, 3694, 4138, 1468, 1135, 1518, 9200, 133, 1966, 3901, 1147, 29234, 4071, 1231, 1272, 1509, 216, 16186, 1227, 1518, 9200, 1257, 1423, 2492, 1313, 18740, 4587, 1272, 24696, 1960, 3882, 3552, 27635, 1188, 21922, 1304, 1137, 185, 1461, 1190, 1419, 1167, 28470, 17286, 1227, 1518, 9200, 5660, 16147, 28363, 12284, 1186, 15290, 2154, 119, 1170, 5509, 1125, 1518, 1118, 197, 5836, 182, 1314, 10825, 1318, 11573, 1677, 1303, 1215, 2183, 1207, 1423, 1250, 1125, 1158, 3385, 24696, 1960, 1257, 15471, 2649, 1154, 29325, 1139, 1955, 186, 13780, 1167, 20198, 121, 2576, 18956, 13523, 1215, 12168, 1186, 11373, 18398, 1227, 1518, 9200, 1186, 10069, 3100, 2585, 1518, 1118, 197, 5836, 182, 1314, 3031, 1186, 1601, 3212, 1167, 1158, 4356, 3657, 1313, 1440, 3293, 10803, 2968, 2365, 1125, 1518, 1118, 197, 5836, 182, 1314, 3031, 14867, 8607, 1303, 1215, 1561, 1166, 2100, 1227, 4367, 24696, 1960, 1167, 2081, 1215, 1318, 24308, 31236, 2287, 1125, 14097, 1968, 2154, 121, 1768, 1281, 13523, 10028, 1856, 1189, 31510, 2303, 15393, 9663, 13449, 2073, 17529, 27728, 1518, 11149, 1507, 182, 2982, 4138, 1468, 1135, 1518, 9200, 4736, 10649, 1147, 29234, 10665, 1231, 1272, 24174, 244, 3226, 1125, 31763, 2057, 1252, 1500, 3771, 119, 14976, 1125, 10036, 10882, 26643, 4094, 1496, 28079, 1122, 2114, 488, 124, 132, 132, 123, 121, 2093, 20634, 1167, 5474, 2093, 28870, 5825, 29496, 1186, 488, 124, 132, 127, 130, 1194, 144, 2145, 1231, 24696, 1960, 1194, 144, 2145, 1231, 1125, 1158, 6545, 13281, 1468, 1194, 5330, 177, 5919, 24696, 17285, 32001, 1424, 32000, 20036, 2073, 17529, 27728, 1645, 1128, 1172, 25875, 5836, 1518, 1118, 197, 5836, 182, 1314, 7216, 11037, 5252, 1186, 488, 124, 132, 127, 130, 119, 3031, 1189, 9899, 1227, 1518, 9200, 24696, 8640, 1357, 6484, 2968, 2365, 1188, 1158, 7051, 1125, 1198, 244, 9446, 1119, 11903, 3948, 116, 1227, 12386, 28528, 5818, 14898, 1186, 488, 124, 132, 131, 125, 12258, 2976, 172, 1909, 7520, 3327, 1313, 1318, 14976, 30831, 1186, 488, 124, 132, 132, 123, 119, 2290, 1170, 3694, 4138, 1468, 1135, 1518, 9200, 133, 1966, 3901, 1147, 29234, 4071, 1231, 1272, 1509, 216, 16186, 1227, 1518, 9200, 1257, 1423, 2492, 1313, 18740, 4587, 1272, 24696, 1960, 3882, 3552, 27635, 1188, 21922, 1304, 1137, 185, 1461, 1190, 1419, 1167, 28470, 17286, 1227, 1518, 9200, 5660, 16147, 28363, 12284, 1186, 15290, 2154, 119, 1170, 5509, 1125, 1518, 1118, 197, 5836, 182, 1314, 10825, 1318, 11573, 1677, 1303, 1215, 2183, 1207, 1423, 1250, 1125, 1158, 3385, 24696, 1960, 1257, 15471, 2649, 1154, 29325, 1139, 1955, 186, 13780, 1167, 20198, 121, 2576, 18956, 13523, 1215, 12168, 1186, 11373, 18398, 1227, 1518, 9200, 1186, 10069, 3100, 2585, 1518, 1118, 197, 5836, 182, 1314, 3031, 1186, 1601, 3212, 1167, 1158, 4356, 3657, 1313, 1440, 3293, 10803, 2968, 2365, 1125, 1518, 1118, 197, 5836, 182, 1314, 3031, 14867, 8607, 1303, 1215, 1561, 1166, 2100, 1227, 4367, 24696, 1960, 1167, 2081, 1215, 1318, 24308, 31236, 2287, 1125, 14097, 1968, 2154, 121, 1768, 1281, 13523, 10028, 1856, 1189, 31510, 2303, 15393, 9663, 13449, 2073, 17529, 27728, 1518, 11149, 1507, 182, 2982, 4138, 1468, 1135, 1518, 9200, 4736, 10649, 1147, 29234, 10665, 1231, 1272, 24174, 244, 3226, 1125, 31763, 2057, 1252, 1500, 3771, 119, 14976, 1125, 10036, 10882, 26643, 4094, 1496, 28079, 1122, 2114, 488, 124, 132, 132, 123, 121, 2093, 20634, 1167, 5474, 2093, 28870, 5825, 29496, 1186, 488, 124, 132, 127, 130, 1194, 144, 2145, 1231, 24696, 1960, 1194, 144, 2145, 1231, 1125, 1158, 6545, 13281, 1468, 1194, 5330, 177, 5919, 24696, 17285, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2073, 17529, 27728, 1645, 1128, 1172, 25875, 5836, 1518, 1118, 197, 5836, 182, 1314, 7216, 11037, 5252, 1186, 488, 124, 132, 127, 130, 119, 3031, 1189, 9899, 1227, 1518, 9200, 24696, 8640, 1357, 6484, 2968, 2365, 1188, 1158, 7051, 1125, 1198, 244, 9446, 1119, 11903, 3948, 116, 1227, 12386, 28528, 5818, 14898, 1186, 488, 124, 132, 131, 125, 12258, 2976, 172, 1909, 7520, 3327, 1313, 1318, 14976, 30831, 1186, 488, 124, 132, 132, 123, 119, 2290, 1170, 3694, 4138, 1468, 1135, 1518, 9200, 133, 1966, 3901, 1147, 29234, 4071, 1231, 1272, 1509, 216, 16186, 1227, 1518, 9200, 1257, 1423, 2492, 1313, 18740, 4587, 1272, 24696, 1960, 3882, 3552, 27635, 1188, 21922, 1304, 1137, 185, 1461, 1190, 1419, 1167, 28470, 17286, 1227, 1518, 9200, 5660, 16147, 28363, 12284, 1186, 15290, 2154, 119, 1170, 5509, 1125, 1518, 1118, 197, 5836, 182, 1314, 10825, 1318, 11573, 1677, 1303, 1215, 2183, 1207, 1423, 1250, 1125, 1158, 3385, 24696, 1960, 1257, 15471, 2649, 1154, 29325, 1139, 1955, 186, 13780, 1167, 20198, 121, 2576, 18956, 13523, 1215, 12168, 1186, 11373, 18398, 1227, 1518, 9200, 1186, 10069, 3100, 2585, 1518, 1118, 197, 5836, 182, 1314, 3031, 1186, 1601, 3212, 1167, 1158, 4356, 3657, 1313, 1440, 3293, 10803, 2968, 2365, 1125, 1518, 1118, 197, 5836, 182, 1314, 3031, 14867, 8607, 1303, 1215, 1561, 1166, 2100, 1227, 4367, 24696, 1960, 1167, 2081, 1215, 1318, 24308, 31236, 2287, 1125, 14097, 1968, 2154, 121, 1768, 1281, 13523, 10028, 1856, 1189, 31510, 2303, 15393, 9663, 13449, 2073, 17529, 27728, 1518, 11149, 1507, 182, 2982, 4138, 1468, 1135, 1518, 9200, 4736, 10649, 1147, 29234, 10665, 1231, 1272, 24174, 244, 3226, 1125, 31763, 2057, 1252, 1500, 3771, 119, 14976, 1125, 10036, 10882, 26643, 4094, 1496, 28079, 1122, 2114, 488, 124, 132, 132, 123, 121, 2093, 20634, 1167, 5474, 2093, 28870, 5825, 29496, 1186, 488, 124, 132, 127, 130, 1194, 144, 2145, 1231, 24696, 1960, 1194, 144, 2145, 1231, 1125, 1158, 6545, 13281, 1468, 1194, 5330, 177, 5919, 24696, 17285, 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, 1189, 7666, 29249, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 12866, 1186, 488, 125, 123, 123, 123, 29227, 25268, 1110, 1913, 12866, 1170, 488, 124, 130, 2829, 1188, 1282, 12838, 4371, 6453, 175, 1132, 8270, 24650, 4780, 8446, 1313, 1170, 21836, 1125, 1173, 1237, 1121, 19074, 1317, 20835, 3046, 1398, 1460, 1175, 15784, 7540, 1496, 1215, 1170, 2929, 28340, 1266, 1570, 7480, 8339, 3187, 1213, 6081, 8513, 6574, 6686, 1868, 4023, 20616, 21198, 1329, 5982, 2137, 22066, 10584, 1286, 1125, 3371, 7666, 29249, 1299, 7925, 1303, 1215, 1189, 20456, 20094, 27792, 1125, 488, 125, 119, 128, 1405, 5128, 1189, 3731, 179, 20891, 1125, 488, 125, 119, 124, 1405, 5128, 1318, 1279, 3196, 1766, 1348, 1125, 488, 123, 119, 123, 128, 1167, 1318, 2123, 1109, 5540, 1125, 488, 125, 119, 126, 129, 210, 1215, 3598, 1188, 6577, 6448, 17285, 6604, 1844, 1125, 2008, 7925, 11212, 1188, 3089, 1189, 20456, 20094, 27792, 5749, 1835, 488, 125, 1167, 488, 126, 1405, 140, 1167, 1189, 3731, 179, 20891, 8595, 1188, 488, 124, 119, 129, 129, 1405, 5128, 1527, 1299, 1936, 2357, 3702, 1158, 14526, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 25886, 21198, 17871, 25268, 1110, 1318, 29729, 11572, 1277, 7933, 116, 1125, 488, 124, 127, 119, 132, 1167, 1189, 1294, 173, 1740, 186, 28577, 1188, 488, 123, 119, 125, 132, 129, 30039, 20544, 11052, 1424, 12253, 1197, 2678, 12202, 8330, 1842, 1175, 126, 129, 123, 123, 124, 120, 126, 130, 123, 123, 123, 1260, 2932, 12451, 20087, 30828, 3436, 7364, 5825, 15948, 2093, 2744, 1843, 29346, 12866, 1186, 488, 125, 123, 123, 123, 1530, 1243, 29249, 1125, 1158, 20450, 11419, 16806, 1843, 29346, 12866, 1215, 1200, 6686, 1868, 16806, 1843, 29346, 12866, 1188, 1282, 12838, 4371, 6453, 175, 1132, 8270, 24650, 1315, 32001, 1424, 32000, 20036, 24368, 1189, 7666, 29249, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 12866, 1186, 488, 125, 123, 123, 123, 29227, 25268, 1110, 1913, 12866, 1170, 488, 124, 130, 2829, 1188, 1282, 12838, 4371, 6453, 175, 1132, 8270, 24650, 4780, 8446, 1313, 1170, 21836, 1125, 1173, 1237, 1121, 19074, 1317, 20835, 3046, 1398, 1460, 1175, 15784, 7540, 1496, 1215, 1170, 2929, 28340, 1266, 1570, 7480, 8339, 3187, 1213, 6081, 8513, 6574, 6686, 1868, 4023, 20616, 21198, 1329, 5982, 2137, 22066, 10584, 1286, 1125, 3371, 7666, 29249, 1299, 7925, 1303, 1215, 1189, 20456, 20094, 27792, 1125, 488, 125, 119, 128, 1405, 5128, 1189, 3731, 179, 20891, 1125, 488, 125, 119, 124, 1405, 5128, 1318, 1279, 3196, 1766, 1348, 1125, 488, 123, 119, 123, 128, 1167, 1318, 2123, 1109, 5540, 1125, 488, 125, 119, 126, 129, 210, 1215, 3598, 1188, 6577, 6448, 17285, 6604, 1844, 1125, 2008, 7925, 11212, 1188, 3089, 1189, 20456, 20094, 27792, 5749, 1835, 488, 125, 1167, 488, 126, 1405, 140, 1167, 1189, 3731, 179, 20891, 8595, 1188, 488, 124, 119, 129, 129, 1405, 5128, 1527, 1299, 1936, 2357, 3702, 1158, 14526, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 25886, 21198, 17871, 25268, 1110, 1318, 29729, 11572, 1277, 7933, 116, 1125, 488, 124, 127, 119, 132, 1167, 1189, 1294, 173, 1740, 186, 28577, 1188, 488, 123, 119, 125, 132, 129, 30039, 20544, 11052, 1424, 12253, 1197, 2678, 12202, 8330, 1842, 1175, 126, 129, 123, 123, 124, 120, 126, 130, 123, 123, 123, 1260, 2932, 12451, 20087, 30828, 3436, 7364, 5825, 15948, 2093, 2744, 1843, 29346, 12866, 1186, 488, 125, 123, 123, 123, 1530, 1243, 29249, 1125, 1158, 20450, 11419, 16806, 1843, 29346, 12866, 1215, 1200, 6686, 1868, 16806, 1843, 29346, 12866, 1188, 1282, 12838, 4371, 6453, 175, 1132, 8270, 24650, 1315, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 24368, 1189, 7666, 29249, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 12866, 1186, 488, 125, 123, 123, 123, 29227, 25268, 1110, 1913, 12866, 1170, 488, 124, 130, 2829, 1188, 1282, 12838, 4371, 6453, 175, 1132, 8270, 24650, 4780, 8446, 1313, 1170, 21836, 1125, 1173, 1237, 1121, 19074, 1317, 20835, 3046, 1398, 1460, 1175, 15784, 7540, 1496, 1215, 1170, 2929, 28340, 1266, 1570, 7480, 8339, 3187, 1213, 6081, 8513, 6574, 6686, 1868, 4023, 20616, 21198, 1329, 5982, 2137, 22066, 10584, 1286, 1125, 3371, 7666, 29249, 1299, 7925, 1303, 1215, 1189, 20456, 20094, 27792, 1125, 488, 125, 119, 128, 1405, 5128, 1189, 3731, 179, 20891, 1125, 488, 125, 119, 124, 1405, 5128, 1318, 1279, 3196, 1766, 1348, 1125, 488, 123, 119, 123, 128, 1167, 1318, 2123, 1109, 5540, 1125, 488, 125, 119, 126, 129, 210, 1215, 3598, 1188, 6577, 6448, 17285, 6604, 1844, 1125, 2008, 7925, 11212, 1188, 3089, 1189, 20456, 20094, 27792, 5749, 1835, 488, 125, 1167, 488, 126, 1405, 140, 1167, 1189, 3731, 179, 20891, 8595, 1188, 488, 124, 119, 129, 129, 1405, 5128, 1527, 1299, 1936, 2357, 3702, 1158, 14526, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 25886, 21198, 17871, 25268, 1110, 1318, 29729, 11572, 1277, 7933, 116, 1125, 488, 124, 127, 119, 132, 1167, 1189, 1294, 173, 1740, 186, 28577, 1188, 488, 123, 119, 125, 132, 129, 30039, 20544, 11052, 1424, 12253, 1197, 2678, 12202, 8330, 1842, 1175, 126, 129, 123, 123, 124, 120, 126, 130, 123, 123, 123, 1260, 2932, 12451, 20087, 30828, 3436, 7364, 5825, 15948, 2093, 2744, 1843, 29346, 12866, 1186, 488, 125, 123, 123, 123, 1530, 1243, 29249, 1125, 1158, 20450, 11419, 16806, 1843, 29346, 12866, 1215, 1200, 6686, 1868, 16806, 1843, 29346, 12866, 1188, 1282, 12838, 4371, 6453, 175, 1132, 8270, 24650, 1315, 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, 13772, 1487, 172, 1299, 1189, 7433, 1125, 29135, 22020, 1199, 488, 130, 1197, 6344, 14360, 1125, 1185, 1383, 1429, 9994, 2038, 1304, 4870, 243, 1887, 12928, 3015, 1209, 21003, 1339, 4148, 1487, 172, 1171, 179, 1154, 1462, 1120, 7933, 1107, 2944, 488, 124, 132, 127, 127, 1260, 4148, 1487, 172, 1270, 1153, 1119, 1462, 1120, 7933, 1107, 2944, 488, 124, 132, 127, 123, 1260, 4148, 1487, 172, 1185, 2451, 1142, 1120, 5867, 1126, 2296, 1659, 488, 124, 131, 130, 128, 1260, 4148, 1487, 172, 15699, 9080, 187, 1128, 1462, 1120, 6047, 6234, 488, 124, 131, 129, 131, 1260, 4148, 1487, 172, 1127, 14201, 1119, 1153, 7933, 1107, 2944, 488, 124, 132, 125, 130, 1260, 4148, 1487, 172, 2191, 2688, 4497, 1130, 2563, 488, 124, 131, 128, 128, 1260, 4148, 1487, 172, 13692, 2624, 1120, 7194, 4286, 2842, 1681, 1983, 1673, 4172, 119, 488, 124, 132, 131, 125, 1260, 4148, 1487, 172, 3063, 6221, 1150, 2835, 3366, 1723, 1357, 1281, 16351, 1370, 1823, 1293, 1383, 10737, 3063, 6221, 1150, 2835, 1120, 9994, 2624, 5825, 15948, 4398, 1109, 1137, 2097, 32001, 1424, 32000, 20036, 21036, 1487, 172, 1299, 1189, 7433, 1125, 29135, 22020, 1199, 488, 130, 1197, 6344, 14360, 1125, 1185, 1383, 1429, 9994, 2038, 1304, 4870, 243, 1887, 12928, 3015, 1209, 21003, 1339, 4148, 1487, 172, 1171, 179, 1154, 1462, 1120, 7933, 1107, 2944, 488, 124, 132, 127, 127, 1260, 4148, 1487, 172, 1270, 1153, 1119, 1462, 1120, 7933, 1107, 2944, 488, 124, 132, 127, 123, 1260, 4148, 1487, 172, 1185, 2451, 1142, 1120, 5867, 1126, 2296, 1659, 488, 124, 131, 130, 128, 1260, 4148, 1487, 172, 15699, 9080, 187, 1128, 1462, 1120, 6047, 6234, 488, 124, 131, 129, 131, 1260, 4148, 1487, 172, 1127, 14201, 1119, 1153, 7933, 1107, 2944, 488, 124, 132, 125, 130, 1260, 4148, 1487, 172, 2191, 2688, 4497, 1130, 2563, 488, 124, 131, 128, 128, 1260, 4148, 1487, 172, 13692, 2624, 1120, 7194, 4286, 2842, 1681, 1983, 1673, 4172, 119, 488, 124, 132, 131, 125, 1260, 4148, 1487, 172, 3063, 6221, 1150, 2835, 3366, 1723, 1357, 1281, 16351, 1370, 1823, 1293, 1383, 10737, 3063, 6221, 1150, 2835, 1120, 9994, 2624, 5825, 15948, 4398, 1109, 1137, 2097, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 21036, 1487, 172, 1299, 1189, 7433, 1125, 29135, 22020, 1199, 488, 130, 1197, 6344, 14360, 1125, 1185, 1383, 1429, 9994, 2038, 1304, 4870, 243, 1887, 12928, 3015, 1209, 21003, 1339, 4148, 1487, 172, 1171, 179, 1154, 1462, 1120, 7933, 1107, 2944, 488, 124, 132, 127, 127, 1260, 4148, 1487, 172, 1270, 1153, 1119, 1462, 1120, 7933, 1107, 2944, 488, 124, 132, 127, 123, 1260, 4148, 1487, 172, 1185, 2451, 1142, 1120, 5867, 1126, 2296, 1659, 488, 124, 131, 130, 128, 1260, 4148, 1487, 172, 15699, 9080, 187, 1128, 1462, 1120, 6047, 6234, 488, 124, 131, 129, 131, 1260, 4148, 1487, 172, 1127, 14201, 1119, 1153, 7933, 1107, 2944, 488, 124, 132, 125, 130, 1260, 4148, 1487, 172, 2191, 2688, 4497, 1130, 2563, 488, 124, 131, 128, 128, 1260, 4148, 1487, 172, 13692, 2624, 1120, 7194, 4286, 2842, 1681, 1983, 1673, 4172, 119, 488, 124, 132, 131, 125, 1260, 4148, 1487, 172, 3063, 6221, 1150, 2835, 3366, 1723, 1357, 1281, 16351, 1370, 1823, 1293, 1383, 10737, 3063, 6221, 1150, 2835, 1120, 9994, 2624, 5825, 15948, 4398, 1109, 1137, 2097, 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, 12289, 186, 1119, 10577, 172, 1225, 1183, 1132, 4436, 1299, 1318, 16074, 1304, 5834, 23031, 1400, 24377, 26142, 1104, 1125, 1158, 4446, 1197, 1306, 2194, 12775, 19609, 8509, 10995, 14564, 1567, 16074, 1299, 2283, 16738, 13076, 25672, 3166, 1317, 9671, 1460, 29227, 18805, 2820, 1717, 2345, 18741, 1125, 488, 128, 1188, 488, 130, 2709, 1195, 5302, 24962, 1433, 184, 4058, 12928, 1105, 1874, 1304, 4870, 13006, 2435, 1110, 1913, 7798, 1186, 6891, 1317, 3601, 1125, 1561, 6593, 3212, 6868, 1132, 4436, 8732, 1565, 1162, 17482, 1424, 1293, 8377, 16080, 488, 124, 132, 127, 129, 1257, 29279, 1624, 1499, 10620, 1161, 1135, 3998, 1153, 4273, 186, 1119, 10577, 2036, 8047, 1161, 1135, 2482, 4524, 1653, 191, 1137, 6898, 4911, 18991, 488, 127, 127, 119, 488, 125, 125, 124, 120, 125, 125, 128, 9994, 2624, 5825, 9323, 1167, 5474, 2093, 147, 2194, 12775, 19609, 2586, 2145, 13006, 1304, 5834, 23031, 29610, 11246, 15856, 25216, 2283, 16738, 13076, 25672, 3166, 32001, 1424, 32000, 20036, 20830, 186, 1119, 10577, 172, 1225, 1183, 1132, 4436, 1299, 1318, 16074, 1304, 5834, 23031, 1400, 24377, 26142, 1104, 1125, 1158, 4446, 1197, 1306, 2194, 12775, 19609, 8509, 10995, 14564, 1567, 16074, 1299, 2283, 16738, 13076, 25672, 3166, 1317, 9671, 1460, 29227, 18805, 2820, 1717, 2345, 18741, 1125, 488, 128, 1188, 488, 130, 2709, 1195, 5302, 24962, 1433, 184, 4058, 12928, 1105, 1874, 1304, 4870, 13006, 2435, 1110, 1913, 7798, 1186, 6891, 1317, 3601, 1125, 1561, 6593, 3212, 6868, 1132, 4436, 8732, 1565, 1162, 17482, 1424, 1293, 8377, 16080, 488, 124, 132, 127, 129, 1257, 29279, 1624, 1499, 10620, 1161, 1135, 3998, 1153, 4273, 186, 1119, 10577, 2036, 8047, 1161, 1135, 2482, 4524, 1653, 191, 1137, 6898, 4911, 18991, 488, 127, 127, 119, 488, 125, 125, 124, 120, 125, 125, 128, 9994, 2624, 5825, 9323, 1167, 5474, 2093, 147, 2194, 12775, 19609, 2586, 2145, 13006, 1304, 5834, 23031, 29610, 11246, 15856, 25216, 2283, 16738, 13076, 25672, 3166, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 20830, 186, 1119, 10577, 172, 1225, 1183, 1132, 4436, 1299, 1318, 16074, 1304, 5834, 23031, 1400, 24377, 26142, 1104, 1125, 1158, 4446, 1197, 1306, 2194, 12775, 19609, 8509, 10995, 14564, 1567, 16074, 1299, 2283, 16738, 13076, 25672, 3166, 1317, 9671, 1460, 29227, 18805, 2820, 1717, 2345, 18741, 1125, 488, 128, 1188, 488, 130, 2709, 1195, 5302, 24962, 1433, 184, 4058, 12928, 1105, 1874, 1304, 4870, 13006, 2435, 1110, 1913, 7798, 1186, 6891, 1317, 3601, 1125, 1561, 6593, 3212, 6868, 1132, 4436, 8732, 1565, 1162, 17482, 1424, 1293, 8377, 16080, 488, 124, 132, 127, 129, 1257, 29279, 1624, 1499, 10620, 1161, 1135, 3998, 1153, 4273, 186, 1119, 10577, 2036, 8047, 1161, 1135, 2482, 4524, 1653, 191, 1137, 6898, 4911, 18991, 488, 127, 127, 119, 488, 125, 125, 124, 120, 125, 125, 128, 9994, 2624, 5825, 9323, 1167, 5474, 2093, 147, 2194, 12775, 19609, 2586, 2145, 13006, 1304, 5834, 23031, 29610, 11246, 15856, 25216, 2283, 16738, 13076, 25672, 3166, 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, 1383, 1109, 21207, 185, 2133, 1495, 1299, 1318, 29685, 13900, 14231, 23159, 6417, 4134, 1424, 488, 124, 132, 131, 130, 1257, 21378, 6842, 1257, 13981, 1284, 1306, 18062, 106, 488, 124, 132, 132, 124, 1257, 1808, 4670, 1473, 5044, 1125, 7511, 7202, 1598, 1325, 7093, 9574, 8264, 4726, 23170, 1260, 15956, 488, 127, 120, 124, 124, 1257, 10636, 1520, 1131, 3024, 1170, 7511, 24859, 1643, 26590, 11316, 1175, 3780, 1516, 8978, 116, 1257, 1198, 3382, 106, 15956, 488, 128, 120, 488, 124, 1257, 1548, 16324, 24859, 1548, 16324, 1125, 1909, 8973, 17298, 13402, 116, 1257, 1200, 6533, 106, 488, 124, 132, 132, 126, 1257, 1548, 1748, 7182, 1125, 1158, 1166, 2100, 5867, 28655, 10414, 133, 11089, 1596, 1147, 1135, 15057, 4284, 4137, 24393, 1257, 5921, 1424, 488, 124, 132, 132, 128, 1257, 1410, 6429, 3711, 1257, 30512, 1130, 106, 488, 124, 132, 132, 128, 1257, 6188, 1153, 1257, 1321, 2747, 26502, 24281, 1416, 6897, 5702, 1424, 26737, 1303, 1571, 15155, 1922, 3995, 10812, 1125, 488, 124, 132, 131, 132, 1856, 4020, 31262, 6018, 18019, 1303, 5867, 1182, 15155, 3506, 16310, 3276, 1182, 1753, 31102, 1147, 1110, 10741, 3359, 1589, 15057, 1748, 1156, 1762, 18568, 1724, 1329, 13917, 116, 1256, 7673, 3553, 8846, 1175, 124, 132, 131, 129, 1260, 26737, 1303, 1571, 15155, 1922, 3995, 10812, 1125, 488, 124, 132, 132, 125, 1856, 4020, 31262, 6018, 18019, 1303, 5867, 1182, 15155, 3506, 16310, 3276, 1182, 1753, 31102, 1329, 4597, 4899, 1149, 29850, 1147, 1110, 5355, 13690, 116, 1256, 24227, 1248, 3093, 1175, 124, 132, 132, 124, 1260, 1266, 7775, 1303, 1571, 15155, 1922, 3995, 16908, 1125, 488, 124, 132, 132, 129, 1256, 1158, 6742, 5076, 2519, 6018, 29685, 5867, 1182, 23561, 1449, 1110, 15155, 3506, 16310, 1323, 5355, 13917, 116, 1313, 1410, 6429, 3711, 9994, 1354, 16718, 2093, 3742, 9034, 13900, 12534, 1125, 10544, 2081, 16625, 15604, 1175, 8257, 176, 6298, 116, 32001, 1424, 32000, 20036, 1750, 1383, 1109, 21207, 185, 2133, 1495, 1299, 1318, 29685, 13900, 14231, 23159, 6417, 4134, 1424, 488, 124, 132, 131, 130, 1257, 21378, 6842, 1257, 13981, 1284, 1306, 18062, 106, 488, 124, 132, 132, 124, 1257, 1808, 4670, 1473, 5044, 1125, 7511, 7202, 1598, 1325, 7093, 9574, 8264, 4726, 23170, 1260, 15956, 488, 127, 120, 124, 124, 1257, 10636, 1520, 1131, 3024, 1170, 7511, 24859, 1643, 26590, 11316, 1175, 3780, 1516, 8978, 116, 1257, 1198, 3382, 106, 15956, 488, 128, 120, 488, 124, 1257, 1548, 16324, 24859, 1548, 16324, 1125, 1909, 8973, 17298, 13402, 116, 1257, 1200, 6533, 106, 488, 124, 132, 132, 126, 1257, 1548, 1748, 7182, 1125, 1158, 1166, 2100, 5867, 28655, 10414, 133, 11089, 1596, 1147, 1135, 15057, 4284, 4137, 24393, 1257, 5921, 1424, 488, 124, 132, 132, 128, 1257, 1410, 6429, 3711, 1257, 30512, 1130, 106, 488, 124, 132, 132, 128, 1257, 6188, 1153, 1257, 1321, 2747, 26502, 24281, 1416, 6897, 5702, 1424, 26737, 1303, 1571, 15155, 1922, 3995, 10812, 1125, 488, 124, 132, 131, 132, 1856, 4020, 31262, 6018, 18019, 1303, 5867, 1182, 15155, 3506, 16310, 3276, 1182, 1753, 31102, 1147, 1110, 10741, 3359, 1589, 15057, 1748, 1156, 1762, 18568, 1724, 1329, 13917, 116, 1256, 7673, 3553, 8846, 1175, 124, 132, 131, 129, 1260, 26737, 1303, 1571, 15155, 1922, 3995, 10812, 1125, 488, 124, 132, 132, 125, 1856, 4020, 31262, 6018, 18019, 1303, 5867, 1182, 15155, 3506, 16310, 3276, 1182, 1753, 31102, 1329, 4597, 4899, 1149, 29850, 1147, 1110, 5355, 13690, 116, 1256, 24227, 1248, 3093, 1175, 124, 132, 132, 124, 1260, 1266, 7775, 1303, 1571, 15155, 1922, 3995, 16908, 1125, 488, 124, 132, 132, 129, 1256, 1158, 6742, 5076, 2519, 6018, 29685, 5867, 1182, 23561, 1449, 1110, 15155, 3506, 16310, 1323, 5355, 13917, 116, 1313, 1410, 6429, 3711, 9994, 1354, 16718, 2093, 3742, 9034, 13900, 12534, 1125, 10544, 2081, 16625, 15604, 1175, 8257, 176, 6298, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 1750, 1383, 1109, 21207, 185, 2133, 1495, 1299, 1318, 29685, 13900, 14231, 23159, 6417, 4134, 1424, 488, 124, 132, 131, 130, 1257, 21378, 6842, 1257, 13981, 1284, 1306, 18062, 106, 488, 124, 132, 132, 124, 1257, 1808, 4670, 1473, 5044, 1125, 7511, 7202, 1598, 1325, 7093, 9574, 8264, 4726, 23170, 1260, 15956, 488, 127, 120, 124, 124, 1257, 10636, 1520, 1131, 3024, 1170, 7511, 24859, 1643, 26590, 11316, 1175, 3780, 1516, 8978, 116, 1257, 1198, 3382, 106, 15956, 488, 128, 120, 488, 124, 1257, 1548, 16324, 24859, 1548, 16324, 1125, 1909, 8973, 17298, 13402, 116, 1257, 1200, 6533, 106, 488, 124, 132, 132, 126, 1257, 1548, 1748, 7182, 1125, 1158, 1166, 2100, 5867, 28655, 10414, 133, 11089, 1596, 1147, 1135, 15057, 4284, 4137, 24393, 1257, 5921, 1424, 488, 124, 132, 132, 128, 1257, 1410, 6429, 3711, 1257, 30512, 1130, 106, 488, 124, 132, 132, 128, 1257, 6188, 1153, 1257, 1321, 2747, 26502, 24281, 1416, 6897, 5702, 1424, 26737, 1303, 1571, 15155, 1922, 3995, 10812, 1125, 488, 124, 132, 131, 132, 1856, 4020, 31262, 6018, 18019, 1303, 5867, 1182, 15155, 3506, 16310, 3276, 1182, 1753, 31102, 1147, 1110, 10741, 3359, 1589, 15057, 1748, 1156, 1762, 18568, 1724, 1329, 13917, 116, 1256, 7673, 3553, 8846, 1175, 124, 132, 131, 129, 1260, 26737, 1303, 1571, 15155, 1922, 3995, 10812, 1125, 488, 124, 132, 132, 125, 1856, 4020, 31262, 6018, 18019, 1303, 5867, 1182, 15155, 3506, 16310, 3276, 1182, 1753, 31102, 1329, 4597, 4899, 1149, 29850, 1147, 1110, 5355, 13690, 116, 1256, 24227, 1248, 3093, 1175, 124, 132, 132, 124, 1260, 1266, 7775, 1303, 1571, 15155, 1922, 3995, 16908, 1125, 488, 124, 132, 132, 129, 1256, 1158, 6742, 5076, 2519, 6018, 29685, 5867, 1182, 23561, 1449, 1110, 15155, 3506, 16310, 1323, 5355, 13917, 116, 1313, 1410, 6429, 3711, 9994, 1354, 16718, 2093, 3742, 9034, 13900, 12534, 1125, 10544, 2081, 16625, 15604, 1175, 8257, 176, 6298, 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, 12616, 488, 2859, 21163, 1418, 1227, 5623, 8276, 1227, 7219, 173, 7304, 1119, 1175, 9306, 2500, 1257, 5623, 8276, 1125, 2358, 4437, 1927, 3046, 10584, 7304, 1119, 116, 1110, 3601, 1170, 2859, 132, 1418, 2822, 488, 125, 123, 125, 124, 3042, 7230, 3031, 27215, 12625, 1170, 488, 124, 128, 2738, 488, 125, 123, 125, 124, 121, 1643, 4235, 1299, 1158, 6128, 29283, 1227, 19325, 1405, 6524, 1951, 158, 5319, 488, 125, 123, 125, 124, 1186, 6964, 488, 124, 121, 2101, 121, 6053, 2445, 1318, 29283, 1125, 1158, 11609, 1125, 2315, 1300, 5646, 121, 2576, 21163, 1125, 488, 125, 123, 125, 123, 1110, 1913, 1894, 16147, 1186, 5169, 1125, 1158, 19667, 1125, 16782, 124, 132, 121, 1643, 4235, 1299, 18241, 1303, 1317, 1114, 3170, 1215, 1170, 5371, 1315, 1922, 1245, 1918, 1123, 1125, 10796, 10710, 1352, 4313, 9061, 1108, 3551, 1132, 7269, 1388, 4929, 13700, 1194, 2951, 174, 1627, 14564, 1567, 29283, 1125, 488, 124, 130, 129, 119, 132, 7275, 1281, 20235, 1215, 1189, 12516, 1469, 488, 130, 29409, 1300, 1158, 3028, 11813, 12302, 1125, 5623, 10720, 1916, 121, 1548, 3151, 9251, 1300, 1158, 3028, 11734, 12302, 1281, 18381, 2750, 488, 131, 130, 119, 131, 19185, 1125, 4235, 24962, 1134, 28685, 3512, 2972, 1424, 3732, 2075, 10431, 1508, 1317, 7882, 1125, 1158, 4235, 1257, 3203, 10431, 1405, 6524, 5055, 14712, 12361, 10600, 10431, 18636, 2137, 2872, 10708, 7762, 10431, 18636, 2137, 1167, 1318, 4924, 5277, 14023, 3632, 1120, 18805, 14218, 1207, 1408, 1116, 1837, 1508, 1207, 7514, 17486, 2323, 5614, 1105, 1175, 3308, 125, 157, 20105, 1150, 246, 185, 1496, 3728, 13666, 6046, 1118, 1141, 1175, 5475, 5224, 4338, 143, 149, 1496, 8220, 2466, 1233, 3685, 9483, 1334, 6713, 5296, 7312, 2605, 6206, 1214, 1496, 24375, 1119, 4553, 1134, 1379, 5867, 113, 141, 9372, 1785, 1496, 18065, 3595, 20947, 1532, 1175, 5475, 5224, 4338, 143, 149, 116, 1167, 19208, 8991, 3835, 2469, 1176, 1120, 1496, 1282, 4515, 21733, 1254, 18009, 23503, 2323, 180, 3835, 2469, 1176, 1120, 116, 1167, 1170, 30153, 1603, 1354, 5826, 1613, 175, 4668, 1322, 1105, 1306, 18062, 6713, 5296, 7312, 2605, 6206, 1214, 4023, 157, 1234, 11125, 26328, 2289, 7445, 5452, 22421, 119, 1321, 16323, 196, 1548, 1196, 1334, 1167, 20714, 14842, 1548, 1266, 196, 1508, 1207, 3203, 8176, 6143, 1562, 1234, 1188, 1823, 21146, 2567, 1170, 4755, 9251, 1300, 1158, 19397, 1548, 15848, 1190, 1105, 2368, 14189, 3042, 1256, 1318, 23469, 1317, 1114, 3170, 121, 24375, 1119, 4553, 1134, 1379, 1299, 1906, 17034, 1723, 1835, 2435, 1167, 1207, 3688, 17192, 1170, 2077, 9721, 20120, 1922, 1245, 1918, 1123, 8524, 1123, 1188, 5887, 1256, 11705, 1158, 4235, 121, 6053, 1561, 3453, 14789, 6049, 1388, 2809, 14443, 2804, 1194, 2809, 2139, 1525, 1167, 3248, 1151, 17935, 1424, 2324, 14443, 1197, 1114, 3170, 190, 31641, 1690, 1257, 21086, 186, 5941, 1467, 1175, 224, 15565, 1125, 2315, 1260, 30322, 3063, 2333, 1167, 5118, 173, 7304, 1783, 1298, 1257, 9323, 1167, 16828, 5825, 1424, 7649, 9229, 106, 2093, 125, 123, 125, 124, 1505, 6770, 2923, 1186, 2315, 1186, 488, 125, 123, 125, 124, 1505, 6770, 2923, 1300, 5646, 1186, 488, 125, 123, 125, 124, 1505, 6770, 2923, 1186, 2822, 488, 125, 123, 125, 124, 25738, 1186, 2315, 1186, 2822, 488, 125, 123, 125, 124, 114, 32001, 1424, 32000, 20036, 2895, 488, 2859, 21163, 1418, 1227, 5623, 8276, 1227, 7219, 173, 7304, 1119, 1175, 9306, 2500, 1257, 5623, 8276, 1125, 2358, 4437, 1927, 3046, 10584, 7304, 1119, 116, 1110, 3601, 1170, 2859, 132, 1418, 2822, 488, 125, 123, 125, 124, 3042, 7230, 3031, 27215, 12625, 1170, 488, 124, 128, 2738, 488, 125, 123, 125, 124, 121, 1643, 4235, 1299, 1158, 6128, 29283, 1227, 19325, 1405, 6524, 1951, 158, 5319, 488, 125, 123, 125, 124, 1186, 6964, 488, 124, 121, 2101, 121, 6053, 2445, 1318, 29283, 1125, 1158, 11609, 1125, 2315, 1300, 5646, 121, 2576, 21163, 1125, 488, 125, 123, 125, 123, 1110, 1913, 1894, 16147, 1186, 5169, 1125, 1158, 19667, 1125, 16782, 124, 132, 121, 1643, 4235, 1299, 18241, 1303, 1317, 1114, 3170, 1215, 1170, 5371, 1315, 1922, 1245, 1918, 1123, 1125, 10796, 10710, 1352, 4313, 9061, 1108, 3551, 1132, 7269, 1388, 4929, 13700, 1194, 2951, 174, 1627, 14564, 1567, 29283, 1125, 488, 124, 130, 129, 119, 132, 7275, 1281, 20235, 1215, 1189, 12516, 1469, 488, 130, 29409, 1300, 1158, 3028, 11813, 12302, 1125, 5623, 10720, 1916, 121, 1548, 3151, 9251, 1300, 1158, 3028, 11734, 12302, 1281, 18381, 2750, 488, 131, 130, 119, 131, 19185, 1125, 4235, 24962, 1134, 28685, 3512, 2972, 1424, 3732, 2075, 10431, 1508, 1317, 7882, 1125, 1158, 4235, 1257, 3203, 10431, 1405, 6524, 5055, 14712, 12361, 10600, 10431, 18636, 2137, 2872, 10708, 7762, 10431, 18636, 2137, 1167, 1318, 4924, 5277, 14023, 3632, 1120, 18805, 14218, 1207, 1408, 1116, 1837, 1508, 1207, 7514, 17486, 2323, 5614, 1105, 1175, 3308, 125, 157, 20105, 1150, 246, 185, 1496, 3728, 13666, 6046, 1118, 1141, 1175, 5475, 5224, 4338, 143, 149, 1496, 8220, 2466, 1233, 3685, 9483, 1334, 6713, 5296, 7312, 2605, 6206, 1214, 1496, 24375, 1119, 4553, 1134, 1379, 5867, 113, 141, 9372, 1785, 1496, 18065, 3595, 20947, 1532, 1175, 5475, 5224, 4338, 143, 149, 116, 1167, 19208, 8991, 3835, 2469, 1176, 1120, 1496, 1282, 4515, 21733, 1254, 18009, 23503, 2323, 180, 3835, 2469, 1176, 1120, 116, 1167, 1170, 30153, 1603, 1354, 5826, 1613, 175, 4668, 1322, 1105, 1306, 18062, 6713, 5296, 7312, 2605, 6206, 1214, 4023, 157, 1234, 11125, 26328, 2289, 7445, 5452, 22421, 119, 1321, 16323, 196, 1548, 1196, 1334, 1167, 20714, 14842, 1548, 1266, 196, 1508, 1207, 3203, 8176, 6143, 1562, 1234, 1188, 1823, 21146, 2567, 1170, 4755, 9251, 1300, 1158, 19397, 1548, 15848, 1190, 1105, 2368, 14189, 3042, 1256, 1318, 23469, 1317, 1114, 3170, 121, 24375, 1119, 4553, 1134, 1379, 1299, 1906, 17034, 1723, 1835, 2435, 1167, 1207, 3688, 17192, 1170, 2077, 9721, 20120, 1922, 1245, 1918, 1123, 8524, 1123, 1188, 5887, 1256, 11705, 1158, 4235, 121, 6053, 1561, 3453, 14789, 6049, 1388, 2809, 14443, 2804, 1194, 2809, 2139, 1525, 1167, 3248, 1151, 17935, 1424, 2324, 14443, 1197, 1114, 3170, 190, 31641, 1690, 1257, 21086, 186, 5941, 1467, 1175, 224, 15565, 1125, 2315, 1260, 30322, 3063, 2333, 1167, 5118, 173, 7304, 1783, 1298, 1257, 9323, 1167, 16828, 5825, 1424, 7649, 9229, 106, 2093, 125, 123, 125, 124, 1505, 6770, 2923, 1186, 2315, 1186, 488, 125, 123, 125, 124, 1505, 6770, 2923, 1300, 5646, 1186, 488, 125, 123, 125, 124, 1505, 6770, 2923, 1186, 2822, 488, 125, 123, 125, 124, 25738, 1186, 2315, 1186, 2822, 488, 125, 123, 125, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 2859, 21163, 1418, 1227, 5623, 8276, 1227, 7219, 173, 7304, 1119, 1175, 9306, 2500, 1257, 5623, 8276, 1125, 2358, 4437, 1927, 3046, 10584, 7304, 1119, 116, 1110, 3601, 1170, 2859, 132, 1418, 2822, 488, 125, 123, 125, 124, 3042, 7230, 3031, 27215, 12625, 1170, 488, 124, 128, 2738, 488, 125, 123, 125, 124, 121, 1643, 4235, 1299, 1158, 6128, 29283, 1227, 19325, 1405, 6524, 1951, 158, 5319, 488, 125, 123, 125, 124, 1186, 6964, 488, 124, 121, 2101, 121, 6053, 2445, 1318, 29283, 1125, 1158, 11609, 1125, 2315, 1300, 5646, 121, 2576, 21163, 1125, 488, 125, 123, 125, 123, 1110, 1913, 1894, 16147, 1186, 5169, 1125, 1158, 19667, 1125, 16782, 124, 132, 121, 1643, 4235, 1299, 18241, 1303, 1317, 1114, 3170, 1215, 1170, 5371, 1315, 1922, 1245, 1918, 1123, 1125, 10796, 10710, 1352, 4313, 9061, 1108, 3551, 1132, 7269, 1388, 4929, 13700, 1194, 2951, 174, 1627, 14564, 1567, 29283, 1125, 488, 124, 130, 129, 119, 132, 7275, 1281, 20235, 1215, 1189, 12516, 1469, 488, 130, 29409, 1300, 1158, 3028, 11813, 12302, 1125, 5623, 10720, 1916, 121, 1548, 3151, 9251, 1300, 1158, 3028, 11734, 12302, 1281, 18381, 2750, 488, 131, 130, 119, 131, 19185, 1125, 4235, 24962, 1134, 28685, 3512, 2972, 1424, 3732, 2075, 10431, 1508, 1317, 7882, 1125, 1158, 4235, 1257, 3203, 10431, 1405, 6524, 5055, 14712, 12361, 10600, 10431, 18636, 2137, 2872, 10708, 7762, 10431, 18636, 2137, 1167, 1318, 4924, 5277, 14023, 3632, 1120, 18805, 14218, 1207, 1408, 1116, 1837, 1508, 1207, 7514, 17486, 2323, 5614, 1105, 1175, 3308, 125, 157, 20105, 1150, 246, 185, 1496, 3728, 13666, 6046, 1118, 1141, 1175, 5475, 5224, 4338, 143, 149, 1496, 8220, 2466, 1233, 3685, 9483, 1334, 6713, 5296, 7312, 2605, 6206, 1214, 1496, 24375, 1119, 4553, 1134, 1379, 5867, 113, 141, 9372, 1785, 1496, 18065, 3595, 20947, 1532, 1175, 5475, 5224, 4338, 143, 149, 116, 1167, 19208, 8991, 3835, 2469, 1176, 1120, 1496, 1282, 4515, 21733, 1254, 18009, 23503, 2323, 180, 3835, 2469, 1176, 1120, 116, 1167, 1170, 30153, 1603, 1354, 5826, 1613, 175, 4668, 1322, 1105, 1306, 18062, 6713, 5296, 7312, 2605, 6206, 1214, 4023, 157, 1234, 11125, 26328, 2289, 7445, 5452, 22421, 119, 1321, 16323, 196, 1548, 1196, 1334, 1167, 20714, 14842, 1548, 1266, 196, 1508, 1207, 3203, 8176, 6143, 1562, 1234, 1188, 1823, 21146, 2567, 1170, 4755, 9251, 1300, 1158, 19397, 1548, 15848, 1190, 1105, 2368, 14189, 3042, 1256, 1318, 23469, 1317, 1114, 3170, 121, 24375, 1119, 4553, 1134, 1379, 1299, 1906, 17034, 1723, 1835, 2435, 1167, 1207, 3688, 17192, 1170, 2077, 9721, 20120, 1922, 1245, 1918, 1123, 8524, 1123, 1188, 5887, 1256, 11705, 1158, 4235, 121, 6053, 1561, 3453, 14789, 6049, 1388, 2809, 14443, 2804, 1194, 2809, 2139, 1525, 1167, 3248, 1151, 17935, 1424, 2324, 14443, 1197, 1114, 3170, 190, 31641, 1690, 1257, 21086, 186, 5941, 1467, 1175, 224, 15565, 1125, 2315, 1260, 30322, 3063, 2333, 1167, 5118, 173, 7304, 1783, 1298, 1257, 9323, 1167, 16828, 5825, 1424, 7649, 9229, 106, 2093, 125, 123, 125, 124, 1505, 6770, 2923, 1186, 2315, 1186, 488, 125, 123, 125, 124, 1505, 6770, 2923, 1300, 5646, 1186, 488, 125, 123, 125, 124, 1505, 6770, 2923, 1186, 2822, 488, 125, 123, 125, 124, 25738, 1186, 2315, 1186, 2822, 488, 125, 123, 125, 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, 1424, 2330, 7464, 12277, 1202, 1819, 17077, 1107, 24051, 1170, 488, 125, 127, 3012, 488, 124, 130, 125, 131, 1188, 11276, 1167, 4541, 2567, 488, 124, 131, 123, 123, 1313, 1594, 3293, 1139, 12690, 116, 2487, 1170, 1874, 1125, 4446, 3031, 7008, 22933, 1202, 244, 1669, 17077, 1659, 3031, 1170, 8328, 1197, 2544, 3967, 1227, 16888, 2733, 1443, 4796, 1170, 8007, 1197, 4092, 488, 124, 130, 130, 123, 1167, 2985, 9918, 1256, 2782, 27314, 1158, 14368, 11643, 19170, 1313, 17289, 193, 3973, 1227, 8579, 14231, 1875, 244, 1313, 1158, 19951, 1206, 1125, 3281, 14034, 1167, 29905, 1128, 2449, 1109, 1125, 29658, 1202, 1819, 17077, 1107, 25098, 1856, 6393, 9228, 25591, 12277, 1202, 1819, 17077, 1659, 5997, 8255, 1167, 4115, 19548, 6293, 3595, 1125, 1248, 1205, 7001, 17966, 3762, 1170, 8007, 1197, 4092, 488, 124, 130, 130, 123, 119, 1527, 1971, 1343, 1170, 8328, 1197, 1226, 3967, 1227, 16888, 2733, 30263, 1768, 1281, 1557, 1575, 2069, 2768, 134, 1158, 3453, 119, 1469, 1318, 4875, 18596, 1277, 1357, 23278, 25897, 6768, 1805, 1740, 172, 1996, 2750, 1167, 1158, 9640, 119, 1469, 18851, 2487, 1170, 1874, 1125, 10544, 3031, 18596, 7258, 7823, 1125, 5444, 193, 3973, 1227, 6372, 1125, 488, 124, 130, 130, 128, 119, 1202, 1819, 17077, 1659, 13523, 1856, 1189, 20121, 9293, 1136, 1197, 10862, 1125, 4172, 16860, 17428, 1300, 1158, 9110, 1215, 1594, 17663, 6780, 1125, 24617, 1200, 2078, 4096, 119, 1281, 20248, 18009, 1188, 1158, 4262, 13900, 121, 1200, 1670, 1167, 1170, 19230, 4304, 178, 1137, 1884, 1281, 7120, 7085, 1186, 21873, 488, 124, 130, 130, 128, 1300, 1158, 3060, 1125, 1282, 9714, 2537, 1162, 2335, 1191, 15026, 25784, 1474, 1313, 5753, 1672, 3858, 17117, 26438, 1229, 1197, 14094, 1256, 1170, 13719, 28637, 18636, 2726, 1318, 12434, 1309, 1170, 24832, 2176, 1370, 1125, 2827, 15423, 1317, 3013, 1125, 1158, 5552, 1125, 1158, 3837, 1125, 8579, 121, 19321, 1158, 22720, 4473, 193, 3973, 119, 1207, 1226, 3967, 2487, 1527, 3031, 1170, 8328, 10562, 7085, 1189, 1465, 1670, 1186, 29286, 1702, 1285, 13513, 1104, 1167, 29177, 1256, 1207, 28741, 7041, 1170, 488, 124, 125, 2578, 488, 124, 130, 130, 128, 119, 1202, 1819, 17077, 1107, 8064, 172, 1318, 8710, 28390, 1571, 4634, 1227, 2423, 1191, 15026, 2455, 11643, 5958, 1197, 6560, 1188, 4110, 1256, 21342, 5444, 193, 3973, 121, 1653, 2738, 1167, 2798, 488, 124, 130, 130, 129, 119, 1207, 21863, 5263, 2915, 13788, 7085, 1138, 2395, 1118, 3023, 1317, 3293, 1125, 2076, 1309, 1202, 1819, 17077, 1107, 1357, 1207, 9192, 2036, 1548, 488, 125, 127, 2921, 488, 124, 130, 130, 129, 119, 1527, 2985, 2969, 192, 18123, 5427, 14277, 22053, 20328, 28538, 1167, 7606, 172, 1188, 13680, 18052, 1227, 11410, 1198, 1146, 7093, 1307, 2036, 15530, 1594, 7882, 1186, 2315, 1186, 488, 124, 130, 130, 132, 119, 1202, 1819, 17077, 1107, 3014, 172, 1309, 1561, 4875, 18851, 3031, 1186, 6127, 3993, 1636, 25055, 1366, 1469, 1594, 17663, 1125, 24617, 1200, 2078, 4096, 119, 1357, 6096, 7420, 1186, 6127, 2076, 2567, 1170, 11546, 1125, 1202, 1819, 17077, 1659, 1167, 1666, 191, 1343, 1318, 12423, 1125, 8579, 1256, 1251, 22802, 1167, 13885, 1944, 1561, 4875, 1317, 19105, 1653, 488, 124, 130, 130, 131, 119, 1527, 1288, 3912, 22802, 27380, 1909, 4661, 1125, 1594, 3151, 11546, 7041, 1188, 1594, 2511, 6720, 119, 1527, 6484, 1834, 3289, 1200, 2078, 4096, 1125, 10174, 1469, 1207, 28741, 1440, 1357, 2435, 1713, 1178, 488, 126, 2165, 1186, 10548, 121, 6982, 1561, 27688, 1186, 488, 124, 130, 130, 132, 119, 18851, 1167, 1200, 2078, 4096, 1281, 1557, 1795, 2089, 119, 2750, 2782, 1335, 1158, 4541, 1125, 1202, 1819, 17077, 1107, 9663, 13449, 9323, 1167, 20117, 2072, 1424, 22241, 3973, 1227, 8579, 106, 2544, 3967, 1227, 16888, 2733, 1443, 7364, 5825, 2093, 4713, 3400, 1186, 3012, 488, 124, 130, 125, 131, 8156, 1188, 11276, 26626, 5964, 1227, 11402, 31549, 6298, 26626, 1125, 13400, 9644, 8469, 1197, 9864, 26626, 1125, 1158, 14368, 11643, 19170, 12534, 1125, 13640, 2081, 16625, 15604, 27283, 161, 31549, 6298, 116, 32001, 1424, 32000, 20036, 4196, 7464, 12277, 1202, 1819, 17077, 1107, 24051, 1170, 488, 125, 127, 3012, 488, 124, 130, 125, 131, 1188, 11276, 1167, 4541, 2567, 488, 124, 131, 123, 123, 1313, 1594, 3293, 1139, 12690, 116, 2487, 1170, 1874, 1125, 4446, 3031, 7008, 22933, 1202, 244, 1669, 17077, 1659, 3031, 1170, 8328, 1197, 2544, 3967, 1227, 16888, 2733, 1443, 4796, 1170, 8007, 1197, 4092, 488, 124, 130, 130, 123, 1167, 2985, 9918, 1256, 2782, 27314, 1158, 14368, 11643, 19170, 1313, 17289, 193, 3973, 1227, 8579, 14231, 1875, 244, 1313, 1158, 19951, 1206, 1125, 3281, 14034, 1167, 29905, 1128, 2449, 1109, 1125, 29658, 1202, 1819, 17077, 1107, 25098, 1856, 6393, 9228, 25591, 12277, 1202, 1819, 17077, 1659, 5997, 8255, 1167, 4115, 19548, 6293, 3595, 1125, 1248, 1205, 7001, 17966, 3762, 1170, 8007, 1197, 4092, 488, 124, 130, 130, 123, 119, 1527, 1971, 1343, 1170, 8328, 1197, 1226, 3967, 1227, 16888, 2733, 30263, 1768, 1281, 1557, 1575, 2069, 2768, 134, 1158, 3453, 119, 1469, 1318, 4875, 18596, 1277, 1357, 23278, 25897, 6768, 1805, 1740, 172, 1996, 2750, 1167, 1158, 9640, 119, 1469, 18851, 2487, 1170, 1874, 1125, 10544, 3031, 18596, 7258, 7823, 1125, 5444, 193, 3973, 1227, 6372, 1125, 488, 124, 130, 130, 128, 119, 1202, 1819, 17077, 1659, 13523, 1856, 1189, 20121, 9293, 1136, 1197, 10862, 1125, 4172, 16860, 17428, 1300, 1158, 9110, 1215, 1594, 17663, 6780, 1125, 24617, 1200, 2078, 4096, 119, 1281, 20248, 18009, 1188, 1158, 4262, 13900, 121, 1200, 1670, 1167, 1170, 19230, 4304, 178, 1137, 1884, 1281, 7120, 7085, 1186, 21873, 488, 124, 130, 130, 128, 1300, 1158, 3060, 1125, 1282, 9714, 2537, 1162, 2335, 1191, 15026, 25784, 1474, 1313, 5753, 1672, 3858, 17117, 26438, 1229, 1197, 14094, 1256, 1170, 13719, 28637, 18636, 2726, 1318, 12434, 1309, 1170, 24832, 2176, 1370, 1125, 2827, 15423, 1317, 3013, 1125, 1158, 5552, 1125, 1158, 3837, 1125, 8579, 121, 19321, 1158, 22720, 4473, 193, 3973, 119, 1207, 1226, 3967, 2487, 1527, 3031, 1170, 8328, 10562, 7085, 1189, 1465, 1670, 1186, 29286, 1702, 1285, 13513, 1104, 1167, 29177, 1256, 1207, 28741, 7041, 1170, 488, 124, 125, 2578, 488, 124, 130, 130, 128, 119, 1202, 1819, 17077, 1107, 8064, 172, 1318, 8710, 28390, 1571, 4634, 1227, 2423, 1191, 15026, 2455, 11643, 5958, 1197, 6560, 1188, 4110, 1256, 21342, 5444, 193, 3973, 121, 1653, 2738, 1167, 2798, 488, 124, 130, 130, 129, 119, 1207, 21863, 5263, 2915, 13788, 7085, 1138, 2395, 1118, 3023, 1317, 3293, 1125, 2076, 1309, 1202, 1819, 17077, 1107, 1357, 1207, 9192, 2036, 1548, 488, 125, 127, 2921, 488, 124, 130, 130, 129, 119, 1527, 2985, 2969, 192, 18123, 5427, 14277, 22053, 20328, 28538, 1167, 7606, 172, 1188, 13680, 18052, 1227, 11410, 1198, 1146, 7093, 1307, 2036, 15530, 1594, 7882, 1186, 2315, 1186, 488, 124, 130, 130, 132, 119, 1202, 1819, 17077, 1107, 3014, 172, 1309, 1561, 4875, 18851, 3031, 1186, 6127, 3993, 1636, 25055, 1366, 1469, 1594, 17663, 1125, 24617, 1200, 2078, 4096, 119, 1357, 6096, 7420, 1186, 6127, 2076, 2567, 1170, 11546, 1125, 1202, 1819, 17077, 1659, 1167, 1666, 191, 1343, 1318, 12423, 1125, 8579, 1256, 1251, 22802, 1167, 13885, 1944, 1561, 4875, 1317, 19105, 1653, 488, 124, 130, 130, 131, 119, 1527, 1288, 3912, 22802, 27380, 1909, 4661, 1125, 1594, 3151, 11546, 7041, 1188, 1594, 2511, 6720, 119, 1527, 6484, 1834, 3289, 1200, 2078, 4096, 1125, 10174, 1469, 1207, 28741, 1440, 1357, 2435, 1713, 1178, 488, 126, 2165, 1186, 10548, 121, 6982, 1561, 27688, 1186, 488, 124, 130, 130, 132, 119, 18851, 1167, 1200, 2078, 4096, 1281, 1557, 1795, 2089, 119, 2750, 2782, 1335, 1158, 4541, 1125, 1202, 1819, 17077, 1107, 9663, 13449, 9323, 1167, 20117, 2072, 1424, 22241, 3973, 1227, 8579, 106, 2544, 3967, 1227, 16888, 2733, 1443, 7364, 5825, 2093, 4713, 3400, 1186, 3012, 488, 124, 130, 125, 131, 8156, 1188, 11276, 26626, 5964, 1227, 11402, 31549, 6298, 26626, 1125, 13400, 9644, 8469, 1197, 9864, 26626, 1125, 1158, 14368, 11643, 19170, 12534, 1125, 13640, 2081, 16625, 15604, 27283, 161, 31549, 6298, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 7464, 12277, 1202, 1819, 17077, 1107, 24051, 1170, 488, 125, 127, 3012, 488, 124, 130, 125, 131, 1188, 11276, 1167, 4541, 2567, 488, 124, 131, 123, 123, 1313, 1594, 3293, 1139, 12690, 116, 2487, 1170, 1874, 1125, 4446, 3031, 7008, 22933, 1202, 244, 1669, 17077, 1659, 3031, 1170, 8328, 1197, 2544, 3967, 1227, 16888, 2733, 1443, 4796, 1170, 8007, 1197, 4092, 488, 124, 130, 130, 123, 1167, 2985, 9918, 1256, 2782, 27314, 1158, 14368, 11643, 19170, 1313, 17289, 193, 3973, 1227, 8579, 14231, 1875, 244, 1313, 1158, 19951, 1206, 1125, 3281, 14034, 1167, 29905, 1128, 2449, 1109, 1125, 29658, 1202, 1819, 17077, 1107, 25098, 1856, 6393, 9228, 25591, 12277, 1202, 1819, 17077, 1659, 5997, 8255, 1167, 4115, 19548, 6293, 3595, 1125, 1248, 1205, 7001, 17966, 3762, 1170, 8007, 1197, 4092, 488, 124, 130, 130, 123, 119, 1527, 1971, 1343, 1170, 8328, 1197, 1226, 3967, 1227, 16888, 2733, 30263, 1768, 1281, 1557, 1575, 2069, 2768, 134, 1158, 3453, 119, 1469, 1318, 4875, 18596, 1277, 1357, 23278, 25897, 6768, 1805, 1740, 172, 1996, 2750, 1167, 1158, 9640, 119, 1469, 18851, 2487, 1170, 1874, 1125, 10544, 3031, 18596, 7258, 7823, 1125, 5444, 193, 3973, 1227, 6372, 1125, 488, 124, 130, 130, 128, 119, 1202, 1819, 17077, 1659, 13523, 1856, 1189, 20121, 9293, 1136, 1197, 10862, 1125, 4172, 16860, 17428, 1300, 1158, 9110, 1215, 1594, 17663, 6780, 1125, 24617, 1200, 2078, 4096, 119, 1281, 20248, 18009, 1188, 1158, 4262, 13900, 121, 1200, 1670, 1167, 1170, 19230, 4304, 178, 1137, 1884, 1281, 7120, 7085, 1186, 21873, 488, 124, 130, 130, 128, 1300, 1158, 3060, 1125, 1282, 9714, 2537, 1162, 2335, 1191, 15026, 25784, 1474, 1313, 5753, 1672, 3858, 17117, 26438, 1229, 1197, 14094, 1256, 1170, 13719, 28637, 18636, 2726, 1318, 12434, 1309, 1170, 24832, 2176, 1370, 1125, 2827, 15423, 1317, 3013, 1125, 1158, 5552, 1125, 1158, 3837, 1125, 8579, 121, 19321, 1158, 22720, 4473, 193, 3973, 119, 1207, 1226, 3967, 2487, 1527, 3031, 1170, 8328, 10562, 7085, 1189, 1465, 1670, 1186, 29286, 1702, 1285, 13513, 1104, 1167, 29177, 1256, 1207, 28741, 7041, 1170, 488, 124, 125, 2578, 488, 124, 130, 130, 128, 119, 1202, 1819, 17077, 1107, 8064, 172, 1318, 8710, 28390, 1571, 4634, 1227, 2423, 1191, 15026, 2455, 11643, 5958, 1197, 6560, 1188, 4110, 1256, 21342, 5444, 193, 3973, 121, 1653, 2738, 1167, 2798, 488, 124, 130, 130, 129, 119, 1207, 21863, 5263, 2915, 13788, 7085, 1138, 2395, 1118, 3023, 1317, 3293, 1125, 2076, 1309, 1202, 1819, 17077, 1107, 1357, 1207, 9192, 2036, 1548, 488, 125, 127, 2921, 488, 124, 130, 130, 129, 119, 1527, 2985, 2969, 192, 18123, 5427, 14277, 22053, 20328, 28538, 1167, 7606, 172, 1188, 13680, 18052, 1227, 11410, 1198, 1146, 7093, 1307, 2036, 15530, 1594, 7882, 1186, 2315, 1186, 488, 124, 130, 130, 132, 119, 1202, 1819, 17077, 1107, 3014, 172, 1309, 1561, 4875, 18851, 3031, 1186, 6127, 3993, 1636, 25055, 1366, 1469, 1594, 17663, 1125, 24617, 1200, 2078, 4096, 119, 1357, 6096, 7420, 1186, 6127, 2076, 2567, 1170, 11546, 1125, 1202, 1819, 17077, 1659, 1167, 1666, 191, 1343, 1318, 12423, 1125, 8579, 1256, 1251, 22802, 1167, 13885, 1944, 1561, 4875, 1317, 19105, 1653, 488, 124, 130, 130, 131, 119, 1527, 1288, 3912, 22802, 27380, 1909, 4661, 1125, 1594, 3151, 11546, 7041, 1188, 1594, 2511, 6720, 119, 1527, 6484, 1834, 3289, 1200, 2078, 4096, 1125, 10174, 1469, 1207, 28741, 1440, 1357, 2435, 1713, 1178, 488, 126, 2165, 1186, 10548, 121, 6982, 1561, 27688, 1186, 488, 124, 130, 130, 132, 119, 18851, 1167, 1200, 2078, 4096, 1281, 1557, 1795, 2089, 119, 2750, 2782, 1335, 1158, 4541, 1125, 1202, 1819, 17077, 1107, 9663, 13449, 9323, 1167, 20117, 2072, 1424, 22241, 3973, 1227, 8579, 106, 2544, 3967, 1227, 16888, 2733, 1443, 7364, 5825, 2093, 4713, 3400, 1186, 3012, 488, 124, 130, 125, 131, 8156, 1188, 11276, 26626, 5964, 1227, 11402, 31549, 6298, 26626, 1125, 13400, 9644, 8469, 1197, 9864, 26626, 1125, 1158, 14368, 11643, 19170, 12534, 1125, 13640, 2081, 16625, 15604, 27283, 161, 31549, 6298, 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, 114, 2606, 4815, 24775, 1125, 1158, 1115, 11636, 1233, 18909, 7216, 28189, 1227, 6455, 116, 1299, 18624, 1186, 14707, 119, 1215, 1158, 5855, 1167, 21090, 7758, 2308, 10483, 22122, 1197, 2028, 4195, 1167, 1125, 2770, 18026, 1120, 1701, 1838, 1255, 1234, 1186, 28189, 1227, 6455, 3672, 29595, 488, 124, 132, 128, 123, 1317, 4319, 1125, 1158, 6545, 1125, 3934, 3798, 1808, 5915, 1430, 5958, 1170, 2510, 1125, 19262, 2604, 4364, 7609, 6305, 15411, 1222, 1510, 10720, 186, 2114, 1189, 6711, 1125, 1158, 6086, 26033, 1186, 488, 125, 123, 123, 128, 119, 1317, 2864, 488, 124, 123, 123, 488, 123, 123, 123, 3403, 2004, 1913, 21298, 6002, 1808, 4607, 2624, 4932, 1129, 1309, 7328, 488, 125, 123, 123, 488, 123, 123, 123, 8443, 2004, 1913, 3316, 1234, 1188, 1158, 6534, 120, 124, 132, 128, 123, 121, 19321, 1197, 18817, 3939, 1158, 8306, 1125, 2008, 4815, 1183, 1312, 1110, 1913, 31211, 1160, 9730, 1303, 1571, 8574, 2028, 4195, 10803, 1115, 11636, 1233, 18909, 1424, 17971, 3013, 2585, 1158, 6545, 1125, 28189, 9507, 5848, 1170, 5987, 1125, 10741, 178, 1712, 1248, 1122, 176, 3618, 1895, 7434, 8001, 488, 126, 123, 488, 123, 123, 123, 30926, 1867, 6698, 488, 130, 123, 488, 123, 123, 123, 17161, 1473, 5615, 1197, 18026, 1120, 1701, 9442, 1913, 1186, 189, 255, 183, 1473, 1313, 1189, 9221, 9229, 1125, 1338, 244, 1619, 2071, 1158, 1115, 11636, 1233, 18909, 8665, 1115, 11636, 5277, 1283, 19456, 1167, 1125, 1338, 29025, 1576, 14782, 9442, 1913, 8363, 1234, 24121, 1443, 1256, 18043, 1207, 31972, 1141, 6034, 10382, 1420, 20546, 2798, 119, 1158, 28189, 1227, 6973, 28822, 1123, 1170, 30469, 4106, 4928, 1199, 1158, 6545, 1125, 3934, 3798, 7609, 6305, 15411, 23700, 2461, 119, 1189, 3726, 1374, 8595, 1125, 1158, 5855, 5846, 3693, 1170, 4637, 10741, 178, 1712, 1248, 1122, 176, 3864, 1767, 3790, 9274, 1197, 4634, 1125, 1158, 1115, 11636, 1233, 18909, 1167, 1227, 15211, 1227, 2498, 1125, 28189, 1227, 6455, 1170, 488, 125, 130, 2798, 121, 1548, 3151, 4815, 24775, 1110, 3601, 1188, 21099, 1896, 1206, 28610, 1313, 1158, 10660, 1227, 1293, 1475, 194, 2114, 1170, 488, 126, 123, 2798, 121, 1808, 8574, 7758, 2308, 10483, 22122, 11525, 1473, 1215, 1197, 3274, 1525, 15947, 13603, 13989, 21298, 1129, 1207, 22840, 2007, 2028, 4195, 1167, 1207, 4634, 1125, 1158, 1115, 11636, 1233, 18909, 2130, 11458, 1388, 4479, 6746, 9229, 190, 1197, 9864, 25281, 1309, 1197, 3726, 2007, 1125, 1440, 3293, 2004, 1913, 7873, 5433, 1125, 2008, 4815, 1183, 1312, 1167, 1207, 2004, 7669, 180, 4413, 3762, 1189, 7682, 1189, 3726, 1374, 8403, 1110, 1116, 1334, 3614, 244, 3790, 9274, 1197, 22840, 2007, 1256, 9682, 6041, 1288, 6903, 2539, 11244, 1215, 1207, 21863, 19372, 184, 6099, 28468, 4172, 1204, 1308, 1780, 2086, 26955, 18642, 1136, 1197, 24884, 17375, 1317, 4637, 1167, 1188, 1594, 5328, 1125, 1158, 17857, 21667, 2460, 1109, 1173, 3513, 2010, 2086, 1125, 1982, 14137, 1107, 1207, 1279, 10382, 1420, 10803, 6086, 18997, 1167, 1338, 7917, 12475, 12616, 12381, 1125, 20283, 1104, 16248, 1207, 2377, 1104, 1283, 23428, 1167, 1125, 18026, 1120, 1701, 2028, 4195, 1186, 488, 125, 123, 123, 131, 1188, 1222, 4735, 2831, 1105, 1110, 10193, 1189, 15327, 1125, 10722, 18596, 192, 1125, 1158, 7759, 1197, 6455, 3926, 10483, 1108, 1297, 1643, 6086, 18997, 1167, 1338, 7917, 12475, 1125, 1158, 28189, 1227, 6455, 1110, 13056, 180, 1207, 28055, 1125, 19878, 1701, 1167, 1125, 3403, 4716, 20888, 1571, 1279, 9274, 1285, 2487, 3977, 1125, 15156, 1321, 6855, 5680, 4976, 119, 1170, 24526, 1108, 1125, 10548, 1125, 1222, 4735, 2831, 1105, 8370, 1408, 1197, 7669, 1429, 1197, 2131, 185, 11184, 1207, 17522, 21170, 1197, 9864, 2004, 1275, 2476, 244, 1197, 5764, 12469, 1215, 1197, 24028, 28741, 1300, 1207, 4465, 4987, 9274, 1285, 6672, 1199, 1170, 1844, 1309, 28670, 13900, 3031, 1317, 2107, 4974, 4511, 1816, 3391, 19108, 1170, 4610, 5807, 2233, 17972, 5916, 1575, 1207, 1279, 10382, 1420, 1125, 1606, 1698, 2014, 2247, 14809, 1125, 1158, 28189, 1227, 6455, 214, 1167, 2551, 2665, 193, 1343, 1382, 11488, 1167, 16828, 5825, 2093, 1548, 3598, 488, 125, 123, 123, 132, 1125, 1158, 6086, 18997, 1167, 1338, 7917, 12475, 19155, 1322, 24775, 1186, 28189, 1227, 6455, 1720, 1322, 24775, 1125, 1158, 6545, 1125, 28189, 106, 124, 132, 128, 123, 1186, 28189, 1227, 6455, 1505, 6857, 1125, 6545, 1186, 28189, 114, 32001, 1424, 32000, 20036, 24623, 2606, 4815, 24775, 1125, 1158, 1115, 11636, 1233, 18909, 7216, 28189, 1227, 6455, 116, 1299, 18624, 1186, 14707, 119, 1215, 1158, 5855, 1167, 21090, 7758, 2308, 10483, 22122, 1197, 2028, 4195, 1167, 1125, 2770, 18026, 1120, 1701, 1838, 1255, 1234, 1186, 28189, 1227, 6455, 3672, 29595, 488, 124, 132, 128, 123, 1317, 4319, 1125, 1158, 6545, 1125, 3934, 3798, 1808, 5915, 1430, 5958, 1170, 2510, 1125, 19262, 2604, 4364, 7609, 6305, 15411, 1222, 1510, 10720, 186, 2114, 1189, 6711, 1125, 1158, 6086, 26033, 1186, 488, 125, 123, 123, 128, 119, 1317, 2864, 488, 124, 123, 123, 488, 123, 123, 123, 3403, 2004, 1913, 21298, 6002, 1808, 4607, 2624, 4932, 1129, 1309, 7328, 488, 125, 123, 123, 488, 123, 123, 123, 8443, 2004, 1913, 3316, 1234, 1188, 1158, 6534, 120, 124, 132, 128, 123, 121, 19321, 1197, 18817, 3939, 1158, 8306, 1125, 2008, 4815, 1183, 1312, 1110, 1913, 31211, 1160, 9730, 1303, 1571, 8574, 2028, 4195, 10803, 1115, 11636, 1233, 18909, 1424, 17971, 3013, 2585, 1158, 6545, 1125, 28189, 9507, 5848, 1170, 5987, 1125, 10741, 178, 1712, 1248, 1122, 176, 3618, 1895, 7434, 8001, 488, 126, 123, 488, 123, 123, 123, 30926, 1867, 6698, 488, 130, 123, 488, 123, 123, 123, 17161, 1473, 5615, 1197, 18026, 1120, 1701, 9442, 1913, 1186, 189, 255, 183, 1473, 1313, 1189, 9221, 9229, 1125, 1338, 244, 1619, 2071, 1158, 1115, 11636, 1233, 18909, 8665, 1115, 11636, 5277, 1283, 19456, 1167, 1125, 1338, 29025, 1576, 14782, 9442, 1913, 8363, 1234, 24121, 1443, 1256, 18043, 1207, 31972, 1141, 6034, 10382, 1420, 20546, 2798, 119, 1158, 28189, 1227, 6973, 28822, 1123, 1170, 30469, 4106, 4928, 1199, 1158, 6545, 1125, 3934, 3798, 7609, 6305, 15411, 23700, 2461, 119, 1189, 3726, 1374, 8595, 1125, 1158, 5855, 5846, 3693, 1170, 4637, 10741, 178, 1712, 1248, 1122, 176, 3864, 1767, 3790, 9274, 1197, 4634, 1125, 1158, 1115, 11636, 1233, 18909, 1167, 1227, 15211, 1227, 2498, 1125, 28189, 1227, 6455, 1170, 488, 125, 130, 2798, 121, 1548, 3151, 4815, 24775, 1110, 3601, 1188, 21099, 1896, 1206, 28610, 1313, 1158, 10660, 1227, 1293, 1475, 194, 2114, 1170, 488, 126, 123, 2798, 121, 1808, 8574, 7758, 2308, 10483, 22122, 11525, 1473, 1215, 1197, 3274, 1525, 15947, 13603, 13989, 21298, 1129, 1207, 22840, 2007, 2028, 4195, 1167, 1207, 4634, 1125, 1158, 1115, 11636, 1233, 18909, 2130, 11458, 1388, 4479, 6746, 9229, 190, 1197, 9864, 25281, 1309, 1197, 3726, 2007, 1125, 1440, 3293, 2004, 1913, 7873, 5433, 1125, 2008, 4815, 1183, 1312, 1167, 1207, 2004, 7669, 180, 4413, 3762, 1189, 7682, 1189, 3726, 1374, 8403, 1110, 1116, 1334, 3614, 244, 3790, 9274, 1197, 22840, 2007, 1256, 9682, 6041, 1288, 6903, 2539, 11244, 1215, 1207, 21863, 19372, 184, 6099, 28468, 4172, 1204, 1308, 1780, 2086, 26955, 18642, 1136, 1197, 24884, 17375, 1317, 4637, 1167, 1188, 1594, 5328, 1125, 1158, 17857, 21667, 2460, 1109, 1173, 3513, 2010, 2086, 1125, 1982, 14137, 1107, 1207, 1279, 10382, 1420, 10803, 6086, 18997, 1167, 1338, 7917, 12475, 12616, 12381, 1125, 20283, 1104, 16248, 1207, 2377, 1104, 1283, 23428, 1167, 1125, 18026, 1120, 1701, 2028, 4195, 1186, 488, 125, 123, 123, 131, 1188, 1222, 4735, 2831, 1105, 1110, 10193, 1189, 15327, 1125, 10722, 18596, 192, 1125, 1158, 7759, 1197, 6455, 3926, 10483, 1108, 1297, 1643, 6086, 18997, 1167, 1338, 7917, 12475, 1125, 1158, 28189, 1227, 6455, 1110, 13056, 180, 1207, 28055, 1125, 19878, 1701, 1167, 1125, 3403, 4716, 20888, 1571, 1279, 9274, 1285, 2487, 3977, 1125, 15156, 1321, 6855, 5680, 4976, 119, 1170, 24526, 1108, 1125, 10548, 1125, 1222, 4735, 2831, 1105, 8370, 1408, 1197, 7669, 1429, 1197, 2131, 185, 11184, 1207, 17522, 21170, 1197, 9864, 2004, 1275, 2476, 244, 1197, 5764, 12469, 1215, 1197, 24028, 28741, 1300, 1207, 4465, 4987, 9274, 1285, 6672, 1199, 1170, 1844, 1309, 28670, 13900, 3031, 1317, 2107, 4974, 4511, 1816, 3391, 19108, 1170, 4610, 5807, 2233, 17972, 5916, 1575, 1207, 1279, 10382, 1420, 1125, 1606, 1698, 2014, 2247, 14809, 1125, 1158, 28189, 1227, 6455, 214, 1167, 2551, 2665, 193, 1343, 1382, 11488, 1167, 16828, 5825, 2093, 1548, 3598, 488, 125, 123, 123, 132, 1125, 1158, 6086, 18997, 1167, 1338, 7917, 12475, 19155, 1322, 24775, 1186, 28189, 1227, 6455, 1720, 1322, 24775, 1125, 1158, 6545, 1125, 28189, 106, 124, 132, 128, 123, 1186, 28189, 1227, 6455, 1505, 6857, 1125, 6545, 1186, 28189, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 2606, 4815, 24775, 1125, 1158, 1115, 11636, 1233, 18909, 7216, 28189, 1227, 6455, 116, 1299, 18624, 1186, 14707, 119, 1215, 1158, 5855, 1167, 21090, 7758, 2308, 10483, 22122, 1197, 2028, 4195, 1167, 1125, 2770, 18026, 1120, 1701, 1838, 1255, 1234, 1186, 28189, 1227, 6455, 3672, 29595, 488, 124, 132, 128, 123, 1317, 4319, 1125, 1158, 6545, 1125, 3934, 3798, 1808, 5915, 1430, 5958, 1170, 2510, 1125, 19262, 2604, 4364, 7609, 6305, 15411, 1222, 1510, 10720, 186, 2114, 1189, 6711, 1125, 1158, 6086, 26033, 1186, 488, 125, 123, 123, 128, 119, 1317, 2864, 488, 124, 123, 123, 488, 123, 123, 123, 3403, 2004, 1913, 21298, 6002, 1808, 4607, 2624, 4932, 1129, 1309, 7328, 488, 125, 123, 123, 488, 123, 123, 123, 8443, 2004, 1913, 3316, 1234, 1188, 1158, 6534, 120, 124, 132, 128, 123, 121, 19321, 1197, 18817, 3939, 1158, 8306, 1125, 2008, 4815, 1183, 1312, 1110, 1913, 31211, 1160, 9730, 1303, 1571, 8574, 2028, 4195, 10803, 1115, 11636, 1233, 18909, 1424, 17971, 3013, 2585, 1158, 6545, 1125, 28189, 9507, 5848, 1170, 5987, 1125, 10741, 178, 1712, 1248, 1122, 176, 3618, 1895, 7434, 8001, 488, 126, 123, 488, 123, 123, 123, 30926, 1867, 6698, 488, 130, 123, 488, 123, 123, 123, 17161, 1473, 5615, 1197, 18026, 1120, 1701, 9442, 1913, 1186, 189, 255, 183, 1473, 1313, 1189, 9221, 9229, 1125, 1338, 244, 1619, 2071, 1158, 1115, 11636, 1233, 18909, 8665, 1115, 11636, 5277, 1283, 19456, 1167, 1125, 1338, 29025, 1576, 14782, 9442, 1913, 8363, 1234, 24121, 1443, 1256, 18043, 1207, 31972, 1141, 6034, 10382, 1420, 20546, 2798, 119, 1158, 28189, 1227, 6973, 28822, 1123, 1170, 30469, 4106, 4928, 1199, 1158, 6545, 1125, 3934, 3798, 7609, 6305, 15411, 23700, 2461, 119, 1189, 3726, 1374, 8595, 1125, 1158, 5855, 5846, 3693, 1170, 4637, 10741, 178, 1712, 1248, 1122, 176, 3864, 1767, 3790, 9274, 1197, 4634, 1125, 1158, 1115, 11636, 1233, 18909, 1167, 1227, 15211, 1227, 2498, 1125, 28189, 1227, 6455, 1170, 488, 125, 130, 2798, 121, 1548, 3151, 4815, 24775, 1110, 3601, 1188, 21099, 1896, 1206, 28610, 1313, 1158, 10660, 1227, 1293, 1475, 194, 2114, 1170, 488, 126, 123, 2798, 121, 1808, 8574, 7758, 2308, 10483, 22122, 11525, 1473, 1215, 1197, 3274, 1525, 15947, 13603, 13989, 21298, 1129, 1207, 22840, 2007, 2028, 4195, 1167, 1207, 4634, 1125, 1158, 1115, 11636, 1233, 18909, 2130, 11458, 1388, 4479, 6746, 9229, 190, 1197, 9864, 25281, 1309, 1197, 3726, 2007, 1125, 1440, 3293, 2004, 1913, 7873, 5433, 1125, 2008, 4815, 1183, 1312, 1167, 1207, 2004, 7669, 180, 4413, 3762, 1189, 7682, 1189, 3726, 1374, 8403, 1110, 1116, 1334, 3614, 244, 3790, 9274, 1197, 22840, 2007, 1256, 9682, 6041, 1288, 6903, 2539, 11244, 1215, 1207, 21863, 19372, 184, 6099, 28468, 4172, 1204, 1308, 1780, 2086, 26955, 18642, 1136, 1197, 24884, 17375, 1317, 4637, 1167, 1188, 1594, 5328, 1125, 1158, 17857, 21667, 2460, 1109, 1173, 3513, 2010, 2086, 1125, 1982, 14137, 1107, 1207, 1279, 10382, 1420, 10803, 6086, 18997, 1167, 1338, 7917, 12475, 12616, 12381, 1125, 20283, 1104, 16248, 1207, 2377, 1104, 1283, 23428, 1167, 1125, 18026, 1120, 1701, 2028, 4195, 1186, 488, 125, 123, 123, 131, 1188, 1222, 4735, 2831, 1105, 1110, 10193, 1189, 15327, 1125, 10722, 18596, 192, 1125, 1158, 7759, 1197, 6455, 3926, 10483, 1108, 1297, 1643, 6086, 18997, 1167, 1338, 7917, 12475, 1125, 1158, 28189, 1227, 6455, 1110, 13056, 180, 1207, 28055, 1125, 19878, 1701, 1167, 1125, 3403, 4716, 20888, 1571, 1279, 9274, 1285, 2487, 3977, 1125, 15156, 1321, 6855, 5680, 4976, 119, 1170, 24526, 1108, 1125, 10548, 1125, 1222, 4735, 2831, 1105, 8370, 1408, 1197, 7669, 1429, 1197, 2131, 185, 11184, 1207, 17522, 21170, 1197, 9864, 2004, 1275, 2476, 244, 1197, 5764, 12469, 1215, 1197, 24028, 28741, 1300, 1207, 4465, 4987, 9274, 1285, 6672, 1199, 1170, 1844, 1309, 28670, 13900, 3031, 1317, 2107, 4974, 4511, 1816, 3391, 19108, 1170, 4610, 5807, 2233, 17972, 5916, 1575, 1207, 1279, 10382, 1420, 1125, 1606, 1698, 2014, 2247, 14809, 1125, 1158, 28189, 1227, 6455, 214, 1167, 2551, 2665, 193, 1343, 1382, 11488, 1167, 16828, 5825, 2093, 1548, 3598, 488, 125, 123, 123, 132, 1125, 1158, 6086, 18997, 1167, 1338, 7917, 12475, 19155, 1322, 24775, 1186, 28189, 1227, 6455, 1720, 1322, 24775, 1125, 1158, 6545, 1125, 28189, 106, 124, 132, 128, 123, 1186, 28189, 1227, 6455, 1505, 6857, 1125, 6545, 1186, 28189, 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, 18517, 7002, 1140, 1108, 8719, 1108, 4419, 1303, 1186, 488, 124, 132, 129, 132, 1188, 17561, 1208, 116, 1299, 1318, 20926, 1632, 1114, 1273, 3948, 186, 10724, 193, 1603, 28355, 3450, 2022, 1468, 11041, 1317, 21144, 14231, 17322, 180, 1291, 13825, 1303, 1188, 31805, 1293, 2348, 178, 1175, 11365, 1125, 22421, 1108, 116, 1167, 1188, 31805, 1304, 4248, 1797, 1125, 1165, 5344, 179, 30948, 4670, 7002, 1140, 1108, 8719, 1108, 1110, 1913, 2429, 2038, 1188, 1282, 18099, 1125, 6410, 197, 1175, 4303, 19005, 116, 1125, 488, 125, 123, 123, 124, 1188, 488, 125, 123, 123, 127, 119, 1167, 1110, 1270, 3634, 1256, 1197, 9628, 8303, 1309, 1170, 9368, 1266, 11136, 10161, 172, 5867, 2683, 1108, 1496, 1282, 4248, 1797, 23982, 1125, 18500, 1651, 2944, 1282, 4248, 1797, 3781, 10724, 193, 1603, 11493, 1282, 4248, 1797, 1125, 1198, 3992, 1148, 1167, 1282, 4248, 1797, 1125, 2397, 262, 7478, 17877, 1170, 6513, 16834, 23247, 7451, 5644, 4094, 1576, 3450, 16823, 10568, 1313, 1207, 9893, 1285, 8105, 1313, 1207, 9912, 190, 1125, 7585, 17813, 1109, 7887, 1257, 8823, 18443, 1856, 1173, 7836, 1205, 1313, 1158, 4052, 1125, 1233, 1849, 1109, 16642, 1379, 2443, 1125, 3795, 1107, 1293, 1869, 191, 5551, 1170, 1173, 29567, 195, 1125, 1293, 2075, 179, 1167, 1594, 4319, 1317, 3091, 13717, 1214, 9271, 1469, 1548, 1221, 1350, 1196, 2602, 190, 3525, 1186, 488, 125, 123, 123, 128, 7745, 1105, 6030, 6027, 1495, 25093, 1153, 20005, 9513, 1306, 1334, 11145, 2331, 172, 1171, 7927, 1200, 2295, 1107, 109, 1299, 9665, 1300, 7087, 2012, 1186, 488, 125, 123, 123, 132, 22341, 18659, 1313, 1207, 1858, 1356, 1141, 26328, 29801, 1325, 1149, 29352, 1410, 4861, 1322, 15453, 2620, 1233, 1456, 16778, 1720, 5245, 1140, 1810, 27761, 2765, 1233, 1493, 1130, 1424, 2439, 1245, 24877, 1201, 16345, 5661, 12209, 6797, 1221, 2178, 3261, 241, 1109, 3616, 30628, 13659, 1532, 2653, 119, 1410, 6353, 1176, 1161, 10073, 17463, 17317, 147, 11756, 1182, 1217, 1875, 21367, 1863, 1897, 22268, 1810, 14187, 18146, 147, 1334, 2313, 1265, 1489, 1120, 2733, 1810, 2068, 1224, 1265, 19074, 11576, 1140, 8472, 25603, 1108, 1810, 1248, 1109, 6266, 2086, 11576, 1140, 11701, 1232, 3476, 11576, 1140, 106, 221, 5650, 7472, 1171, 21386, 14111, 2133, 1439, 1424, 149, 1203, 4741, 14214, 1352, 20374, 20364, 1222, 1972, 175, 1810, 1518, 26206, 1245, 1347, 1566, 2256, 176, 1810, 2576, 2171, 1121, 1105, 24419, 2172, 1202, 2256, 176, 1810, 24264, 1263, 1331, 1628, 1265, 14741, 1810, 1643, 1252, 1343, 172, 10958, 5611, 1374, 1810, 24185, 1516, 12616, 1218, 1883, 5650, 1548, 3550, 197, 2174, 2172, 10144, 1124, 2086, 24185, 1516, 17322, 13285, 3985, 193, 4816, 1637, 2397, 1107, 5386, 1810, 8391, 10958, 1651, 1783, 2433, 24185, 1516, 1424, 155, 1174, 3382, 1637, 12519, 18062, 1810, 11374, 2397, 24321, 1107, 2307, 257, 3212, 24185, 1516, 2895, 1278, 1824, 1810, 10958, 30230, 4847, 1146, 1210, 2433, 1202, 24542, 6526, 1424, 141, 1140, 1490, 1810, 14783, 186, 1171, 1186, 176, 4277, 21492, 8013, 2586, 1210, 2086, 15020, 1217, 1245, 18170, 1266, 2012, 5160, 10290, 25185, 2331, 1424, 18517, 2168, 1203, 1841, 119, 1410, 1248, 2187, 1361, 1951, 4187, 119, 1753, 9984, 1554, 6200, 1853, 1128, 11509, 1810, 25455, 1108, 5182, 2525, 119, 19933, 1558, 28962, 29674, 12662, 3303, 1167, 17836, 5702, 1424, 141, 1140, 3554, 1371, 1748, 31149, 119, 31882, 1257, 3248, 4309, 1628, 1105, 8051, 5922, 6266, 15406, 5940, 10397, 1748, 31149, 119, 488, 124, 132, 132, 132, 1257, 6005, 23313, 10724, 193, 1603, 1354, 2359, 3248, 10947, 2086, 488, 125, 123, 123, 123, 9323, 1167, 16828, 5825, 29496, 1188, 17561, 1208, 8156, 1186, 2578, 488, 124, 132, 129, 132, 4196, 2009, 1632, 10724, 193, 1603, 3556, 1227, 23841, 6298, 4196, 2009, 1632, 10724, 193, 1603, 3556, 1227, 12136, 25525, 6298, 4196, 2009, 1632, 10724, 193, 1603, 3556, 1304, 18099, 1628, 1273, 3948, 186, 10724, 193, 1603, 3556, 5526, 24116, 1125, 15714, 1125, 22421, 1108, 32001, 1424, 32000, 20036, 15031, 7002, 1140, 1108, 8719, 1108, 4419, 1303, 1186, 488, 124, 132, 129, 132, 1188, 17561, 1208, 116, 1299, 1318, 20926, 1632, 1114, 1273, 3948, 186, 10724, 193, 1603, 28355, 3450, 2022, 1468, 11041, 1317, 21144, 14231, 17322, 180, 1291, 13825, 1303, 1188, 31805, 1293, 2348, 178, 1175, 11365, 1125, 22421, 1108, 116, 1167, 1188, 31805, 1304, 4248, 1797, 1125, 1165, 5344, 179, 30948, 4670, 7002, 1140, 1108, 8719, 1108, 1110, 1913, 2429, 2038, 1188, 1282, 18099, 1125, 6410, 197, 1175, 4303, 19005, 116, 1125, 488, 125, 123, 123, 124, 1188, 488, 125, 123, 123, 127, 119, 1167, 1110, 1270, 3634, 1256, 1197, 9628, 8303, 1309, 1170, 9368, 1266, 11136, 10161, 172, 5867, 2683, 1108, 1496, 1282, 4248, 1797, 23982, 1125, 18500, 1651, 2944, 1282, 4248, 1797, 3781, 10724, 193, 1603, 11493, 1282, 4248, 1797, 1125, 1198, 3992, 1148, 1167, 1282, 4248, 1797, 1125, 2397, 262, 7478, 17877, 1170, 6513, 16834, 23247, 7451, 5644, 4094, 1576, 3450, 16823, 10568, 1313, 1207, 9893, 1285, 8105, 1313, 1207, 9912, 190, 1125, 7585, 17813, 1109, 7887, 1257, 8823, 18443, 1856, 1173, 7836, 1205, 1313, 1158, 4052, 1125, 1233, 1849, 1109, 16642, 1379, 2443, 1125, 3795, 1107, 1293, 1869, 191, 5551, 1170, 1173, 29567, 195, 1125, 1293, 2075, 179, 1167, 1594, 4319, 1317, 3091, 13717, 1214, 9271, 1469, 1548, 1221, 1350, 1196, 2602, 190, 3525, 1186, 488, 125, 123, 123, 128, 7745, 1105, 6030, 6027, 1495, 25093, 1153, 20005, 9513, 1306, 1334, 11145, 2331, 172, 1171, 7927, 1200, 2295, 1107, 109, 1299, 9665, 1300, 7087, 2012, 1186, 488, 125, 123, 123, 132, 22341, 18659, 1313, 1207, 1858, 1356, 1141, 26328, 29801, 1325, 1149, 29352, 1410, 4861, 1322, 15453, 2620, 1233, 1456, 16778, 1720, 5245, 1140, 1810, 27761, 2765, 1233, 1493, 1130, 1424, 2439, 1245, 24877, 1201, 16345, 5661, 12209, 6797, 1221, 2178, 3261, 241, 1109, 3616, 30628, 13659, 1532, 2653, 119, 1410, 6353, 1176, 1161, 10073, 17463, 17317, 147, 11756, 1182, 1217, 1875, 21367, 1863, 1897, 22268, 1810, 14187, 18146, 147, 1334, 2313, 1265, 1489, 1120, 2733, 1810, 2068, 1224, 1265, 19074, 11576, 1140, 8472, 25603, 1108, 1810, 1248, 1109, 6266, 2086, 11576, 1140, 11701, 1232, 3476, 11576, 1140, 106, 221, 5650, 7472, 1171, 21386, 14111, 2133, 1439, 1424, 149, 1203, 4741, 14214, 1352, 20374, 20364, 1222, 1972, 175, 1810, 1518, 26206, 1245, 1347, 1566, 2256, 176, 1810, 2576, 2171, 1121, 1105, 24419, 2172, 1202, 2256, 176, 1810, 24264, 1263, 1331, 1628, 1265, 14741, 1810, 1643, 1252, 1343, 172, 10958, 5611, 1374, 1810, 24185, 1516, 12616, 1218, 1883, 5650, 1548, 3550, 197, 2174, 2172, 10144, 1124, 2086, 24185, 1516, 17322, 13285, 3985, 193, 4816, 1637, 2397, 1107, 5386, 1810, 8391, 10958, 1651, 1783, 2433, 24185, 1516, 1424, 155, 1174, 3382, 1637, 12519, 18062, 1810, 11374, 2397, 24321, 1107, 2307, 257, 3212, 24185, 1516, 2895, 1278, 1824, 1810, 10958, 30230, 4847, 1146, 1210, 2433, 1202, 24542, 6526, 1424, 141, 1140, 1490, 1810, 14783, 186, 1171, 1186, 176, 4277, 21492, 8013, 2586, 1210, 2086, 15020, 1217, 1245, 18170, 1266, 2012, 5160, 10290, 25185, 2331, 1424, 18517, 2168, 1203, 1841, 119, 1410, 1248, 2187, 1361, 1951, 4187, 119, 1753, 9984, 1554, 6200, 1853, 1128, 11509, 1810, 25455, 1108, 5182, 2525, 119, 19933, 1558, 28962, 29674, 12662, 3303, 1167, 17836, 5702, 1424, 141, 1140, 3554, 1371, 1748, 31149, 119, 31882, 1257, 3248, 4309, 1628, 1105, 8051, 5922, 6266, 15406, 5940, 10397, 1748, 31149, 119, 488, 124, 132, 132, 132, 1257, 6005, 23313, 10724, 193, 1603, 1354, 2359, 3248, 10947, 2086, 488, 125, 123, 123, 123, 9323, 1167, 16828, 5825, 29496, 1188, 17561, 1208, 8156, 1186, 2578, 488, 124, 132, 129, 132, 4196, 2009, 1632, 10724, 193, 1603, 3556, 1227, 23841, 6298, 4196, 2009, 1632, 10724, 193, 1603, 3556, 1227, 12136, 25525, 6298, 4196, 2009, 1632, 10724, 193, 1603, 3556, 1304, 18099, 1628, 1273, 3948, 186, 10724, 193, 1603, 3556, 5526, 24116, 1125, 15714, 1125, 22421, 1108, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 15031, 7002, 1140, 1108, 8719, 1108, 4419, 1303, 1186, 488, 124, 132, 129, 132, 1188, 17561, 1208, 116, 1299, 1318, 20926, 1632, 1114, 1273, 3948, 186, 10724, 193, 1603, 28355, 3450, 2022, 1468, 11041, 1317, 21144, 14231, 17322, 180, 1291, 13825, 1303, 1188, 31805, 1293, 2348, 178, 1175, 11365, 1125, 22421, 1108, 116, 1167, 1188, 31805, 1304, 4248, 1797, 1125, 1165, 5344, 179, 30948, 4670, 7002, 1140, 1108, 8719, 1108, 1110, 1913, 2429, 2038, 1188, 1282, 18099, 1125, 6410, 197, 1175, 4303, 19005, 116, 1125, 488, 125, 123, 123, 124, 1188, 488, 125, 123, 123, 127, 119, 1167, 1110, 1270, 3634, 1256, 1197, 9628, 8303, 1309, 1170, 9368, 1266, 11136, 10161, 172, 5867, 2683, 1108, 1496, 1282, 4248, 1797, 23982, 1125, 18500, 1651, 2944, 1282, 4248, 1797, 3781, 10724, 193, 1603, 11493, 1282, 4248, 1797, 1125, 1198, 3992, 1148, 1167, 1282, 4248, 1797, 1125, 2397, 262, 7478, 17877, 1170, 6513, 16834, 23247, 7451, 5644, 4094, 1576, 3450, 16823, 10568, 1313, 1207, 9893, 1285, 8105, 1313, 1207, 9912, 190, 1125, 7585, 17813, 1109, 7887, 1257, 8823, 18443, 1856, 1173, 7836, 1205, 1313, 1158, 4052, 1125, 1233, 1849, 1109, 16642, 1379, 2443, 1125, 3795, 1107, 1293, 1869, 191, 5551, 1170, 1173, 29567, 195, 1125, 1293, 2075, 179, 1167, 1594, 4319, 1317, 3091, 13717, 1214, 9271, 1469, 1548, 1221, 1350, 1196, 2602, 190, 3525, 1186, 488, 125, 123, 123, 128, 7745, 1105, 6030, 6027, 1495, 25093, 1153, 20005, 9513, 1306, 1334, 11145, 2331, 172, 1171, 7927, 1200, 2295, 1107, 109, 1299, 9665, 1300, 7087, 2012, 1186, 488, 125, 123, 123, 132, 22341, 18659, 1313, 1207, 1858, 1356, 1141, 26328, 29801, 1325, 1149, 29352, 1410, 4861, 1322, 15453, 2620, 1233, 1456, 16778, 1720, 5245, 1140, 1810, 27761, 2765, 1233, 1493, 1130, 1424, 2439, 1245, 24877, 1201, 16345, 5661, 12209, 6797, 1221, 2178, 3261, 241, 1109, 3616, 30628, 13659, 1532, 2653, 119, 1410, 6353, 1176, 1161, 10073, 17463, 17317, 147, 11756, 1182, 1217, 1875, 21367, 1863, 1897, 22268, 1810, 14187, 18146, 147, 1334, 2313, 1265, 1489, 1120, 2733, 1810, 2068, 1224, 1265, 19074, 11576, 1140, 8472, 25603, 1108, 1810, 1248, 1109, 6266, 2086, 11576, 1140, 11701, 1232, 3476, 11576, 1140, 106, 221, 5650, 7472, 1171, 21386, 14111, 2133, 1439, 1424, 149, 1203, 4741, 14214, 1352, 20374, 20364, 1222, 1972, 175, 1810, 1518, 26206, 1245, 1347, 1566, 2256, 176, 1810, 2576, 2171, 1121, 1105, 24419, 2172, 1202, 2256, 176, 1810, 24264, 1263, 1331, 1628, 1265, 14741, 1810, 1643, 1252, 1343, 172, 10958, 5611, 1374, 1810, 24185, 1516, 12616, 1218, 1883, 5650, 1548, 3550, 197, 2174, 2172, 10144, 1124, 2086, 24185, 1516, 17322, 13285, 3985, 193, 4816, 1637, 2397, 1107, 5386, 1810, 8391, 10958, 1651, 1783, 2433, 24185, 1516, 1424, 155, 1174, 3382, 1637, 12519, 18062, 1810, 11374, 2397, 24321, 1107, 2307, 257, 3212, 24185, 1516, 2895, 1278, 1824, 1810, 10958, 30230, 4847, 1146, 1210, 2433, 1202, 24542, 6526, 1424, 141, 1140, 1490, 1810, 14783, 186, 1171, 1186, 176, 4277, 21492, 8013, 2586, 1210, 2086, 15020, 1217, 1245, 18170, 1266, 2012, 5160, 10290, 25185, 2331, 1424, 18517, 2168, 1203, 1841, 119, 1410, 1248, 2187, 1361, 1951, 4187, 119, 1753, 9984, 1554, 6200, 1853, 1128, 11509, 1810, 25455, 1108, 5182, 2525, 119, 19933, 1558, 28962, 29674, 12662, 3303, 1167, 17836, 5702, 1424, 141, 1140, 3554, 1371, 1748, 31149, 119, 31882, 1257, 3248, 4309, 1628, 1105, 8051, 5922, 6266, 15406, 5940, 10397, 1748, 31149, 119, 488, 124, 132, 132, 132, 1257, 6005, 23313, 10724, 193, 1603, 1354, 2359, 3248, 10947, 2086, 488, 125, 123, 123, 123, 9323, 1167, 16828, 5825, 29496, 1188, 17561, 1208, 8156, 1186, 2578, 488, 124, 132, 129, 132, 4196, 2009, 1632, 10724, 193, 1603, 3556, 1227, 23841, 6298, 4196, 2009, 1632, 10724, 193, 1603, 3556, 1227, 12136, 25525, 6298, 4196, 2009, 1632, 10724, 193, 1603, 3556, 1304, 18099, 1628, 1273, 3948, 186, 10724, 193, 1603, 3556, 5526, 24116, 1125, 15714, 1125, 22421, 1108, 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, 142, 1567, 2901, 8045, 10453, 488, 124, 129, 130, 127, 1227, 19325, 28876, 6268, 1354, 24962, 28716, 1424, 488, 129, 2749, 1257, 9771, 1227, 5809, 1338, 2971, 5725, 1158, 6086, 22327, 1125, 3370, 1125, 1158, 30185, 5650, 1313, 1170, 12071, 1125, 1158, 6545, 1125, 18454, 2163, 1155, 488, 131, 2749, 1257, 2605, 11150, 7482, 3215, 1112, 7354, 1270, 1452, 10468, 1125, 2315, 1175, 1773, 1186, 488, 124, 129, 130, 130, 4023, 488, 132, 3141, 1257, 12074, 29754, 1300, 1158, 6252, 1125, 1158, 1152, 2532, 1378, 26644, 1262, 1155, 488, 124, 125, 3141, 1257, 1207, 21863, 17377, 1227, 23711, 1125, 1266, 4424, 3023, 27300, 1158, 6280, 9007, 1188, 18564, 8348, 1167, 28822, 6369, 1158, 1772, 3383, 23678, 1389, 121, 6982, 2782, 8121, 15361, 6645, 2114, 1527, 5909, 1202, 1104, 1623, 1170, 488, 124, 127, 18802, 20575, 2648, 1296, 1349, 7541, 1293, 2091, 1227, 488, 125, 126, 1317, 488, 125, 131, 3141, 1155, 29966, 1257, 29254, 29754, 1300, 1207, 2208, 7998, 7418, 1259, 2137, 10960, 5580, 1457, 1548, 10973, 1928, 6857, 1207, 1281, 2075, 2208, 7998, 23544, 1167, 3864, 1767, 1964, 14393, 1317, 1838, 1176, 1474, 1125, 1158, 3504, 28376, 1317, 1539, 5190, 2178, 1388, 488, 127, 2829, 1257, 6751, 3111, 1125, 1352, 1104, 2610, 119, 1296, 1349, 1603, 1303, 1215, 1170, 23711, 1125, 1266, 4424, 3023, 1388, 488, 126, 3012, 1257, 7622, 1902, 1125, 6545, 121, 6959, 1356, 4521, 1125, 27461, 1227, 11002, 3498, 173, 1568, 1188, 3862, 1227, 488, 126, 1155, 488, 124, 128, 3012, 1257, 20896, 1300, 1158, 15229, 1167, 19422, 21172, 1125, 15807, 7863, 1197, 29244, 1346, 1357, 14882, 1909, 7790, 15666, 19606, 1186, 2822, 1388, 488, 125, 125, 2738, 1257, 6751, 3111, 1125, 16244, 2196, 1105, 1155, 488, 125, 131, 2738, 120, 130, 2798, 1257, 1207, 7514, 1296, 1349, 3102, 1129, 1167, 17491, 1222, 1731, 2040, 1922, 173, 1517, 6751, 1890, 1175, 124, 123, 2798, 1496, 2648, 5308, 1554, 1175, 125, 124, 2798, 116, 1167, 1170, 6525, 1125, 1321, 9314, 1170, 488, 125, 2921, 1388, 488, 124, 127, 2798, 1257, 7311, 2794, 11203, 1123, 1170, 9810, 2982, 18900, 1158, 16535, 1125, 1173, 1554, 11965, 1170, 488, 124, 129, 2798, 1167, 14065, 1186, 2068, 26557, 2567, 1125, 11203, 1187, 1125, 3631, 1170, 9810, 1109, 1170, 488, 126, 2921, 121, 1768, 10907, 2743, 1207, 24625, 2082, 190, 1188, 26279, 1108, 12579, 1175, 128, 2921, 116, 2648, 1281, 11642, 1214, 1300, 30019, 26557, 2750, 2782, 13210, 18087, 1170, 5796, 8351, 1128, 1256, 1674, 1263, 1207, 21863, 29304, 2137, 1125, 13210, 1123, 2961, 1160, 1388, 488, 127, 2921, 1323, 488, 126, 124, 3201, 1257, 20244, 2802, 1188, 12829, 13841, 1215, 7422, 2271, 4996, 1256, 24925, 1107, 1158, 24041, 8622, 1125, 1158, 1772, 3383, 23678, 16438, 1186, 4593, 23835, 1257, 2068, 1887, 3212, 20786, 14372, 14269, 3415, 1125, 1200, 1203, 1269, 1313, 1158, 2107, 1125, 1918, 1829, 1175, 127, 2921, 1496, 5891, 2313, 1307, 1277, 1125, 12829, 4586, 1346, 9893, 1313, 1207, 29318, 1227, 8009, 1119, 1105, 1125, 5873, 7452, 2100, 1175, 124, 124, 2921, 1496, 1548, 4732, 2240, 5604, 10964, 1313, 1158, 14924, 5904, 1125, 1198, 14669, 1591, 1175, 124, 132, 2921, 1496, 1207, 1252, 3464, 1125, 6659, 184, 1157, 1167, 1125, 26125, 1210, 3794, 1858, 1797, 1125, 1200, 1203, 1269, 1175, 125, 131, 2921, 1496, 1209, 1479, 1205, 1538, 2620, 20786, 14372, 1125, 27665, 1314, 1175, 124, 131, 3201, 1496, 3828, 12663, 1125, 7005, 22008, 1215, 1352, 1205, 1124, 9836, 1300, 1170, 5623, 23275, 1175, 126, 124, 3201, 4023, 488, 124, 124, 3201, 1257, 14789, 1855, 1416, 1439, 1167, 9701, 183, 2009, 1125, 21114, 244, 1188, 1158, 16535, 1125, 1173, 2322, 1319, 1965, 5639, 1125, 3984, 2495, 22160, 1300, 1207, 21863, 1765, 20196, 3589, 179, 1815, 1265, 3589, 1358, 1550, 2137, 1357, 8314, 1129, 1125, 8466, 1987, 2079, 1207, 28398, 1227, 6455, 1155, 488, 124, 123, 2822, 1257, 1207, 13014, 1550, 1541, 27300, 1170, 9810, 1109, 1155, 488, 127, 2822, 1257, 14789, 1125, 7311, 2794, 1188, 1653, 191, 30422, 119, 5639, 1125, 6429, 1141, 11270, 3296, 8830, 2818, 21645, 26557, 1125, 7311, 2794, 1155, 488, 125, 132, 2584, 1257, 14789, 1125, 7311, 2794, 1188, 1158, 16535, 1125, 16422, 9728, 1155, 488, 125, 130, 2875, 1257, 1170, 10973, 1281, 8166, 1170, 31822, 1731, 1125, 1158, 5203, 1227, 8407, 1183, 1388, 488, 125, 130, 2578, 1257, 1279, 9274, 1227, 28756, 1374, 1125, 1248, 2562, 1119, 1167, 1197, 2905, 4634, 1227, 2784, 1190, 1125, 14772, 1568, 25375, 1258, 1256, 14287, 1125, 1115, 7551, 17835, 181, 1182, 244, 1155, 488, 124, 128, 2578, 1257, 2669, 1277, 1283, 24278, 1227, 24135, 1167, 1147, 1414, 1430, 29987, 2097, 1188, 3942, 16460, 1155, 488, 126, 124, 2584, 1257, 14178, 1125, 1158, 30302, 5964, 1197, 1459, 3436, 16341, 2137, 2040, 6659, 18337, 5964, 1299, 22786, 1303, 1317, 6468, 9091, 3850, 1808, 1645, 21448, 1508, 9318, 9544, 1473, 1856, 1318, 10660, 1227, 9091, 1334, 4048, 1469, 4617, 1245, 4819, 1536, 2388, 1167, 4921, 18562, 5485, 22786, 1303, 1317, 4291, 8170, 8423, 22698, 1188, 1158, 18102, 1388, 10026, 11052, 1424, 2814, 5304, 488, 124, 129, 130, 127, 1313, 1170, 2854, 106, 16613, 4058, 1125, 1158, 2315, 2290, 7422, 2271, 4996, 9323, 1167, 5474, 2093, 124, 129, 130, 127, 1186, 2315, 114, 32001, 1424, 32000, 20036, 24623, 142, 1567, 2901, 8045, 10453, 488, 124, 129, 130, 127, 1227, 19325, 28876, 6268, 1354, 24962, 28716, 1424, 488, 129, 2749, 1257, 9771, 1227, 5809, 1338, 2971, 5725, 1158, 6086, 22327, 1125, 3370, 1125, 1158, 30185, 5650, 1313, 1170, 12071, 1125, 1158, 6545, 1125, 18454, 2163, 1155, 488, 131, 2749, 1257, 2605, 11150, 7482, 3215, 1112, 7354, 1270, 1452, 10468, 1125, 2315, 1175, 1773, 1186, 488, 124, 129, 130, 130, 4023, 488, 132, 3141, 1257, 12074, 29754, 1300, 1158, 6252, 1125, 1158, 1152, 2532, 1378, 26644, 1262, 1155, 488, 124, 125, 3141, 1257, 1207, 21863, 17377, 1227, 23711, 1125, 1266, 4424, 3023, 27300, 1158, 6280, 9007, 1188, 18564, 8348, 1167, 28822, 6369, 1158, 1772, 3383, 23678, 1389, 121, 6982, 2782, 8121, 15361, 6645, 2114, 1527, 5909, 1202, 1104, 1623, 1170, 488, 124, 127, 18802, 20575, 2648, 1296, 1349, 7541, 1293, 2091, 1227, 488, 125, 126, 1317, 488, 125, 131, 3141, 1155, 29966, 1257, 29254, 29754, 1300, 1207, 2208, 7998, 7418, 1259, 2137, 10960, 5580, 1457, 1548, 10973, 1928, 6857, 1207, 1281, 2075, 2208, 7998, 23544, 1167, 3864, 1767, 1964, 14393, 1317, 1838, 1176, 1474, 1125, 1158, 3504, 28376, 1317, 1539, 5190, 2178, 1388, 488, 127, 2829, 1257, 6751, 3111, 1125, 1352, 1104, 2610, 119, 1296, 1349, 1603, 1303, 1215, 1170, 23711, 1125, 1266, 4424, 3023, 1388, 488, 126, 3012, 1257, 7622, 1902, 1125, 6545, 121, 6959, 1356, 4521, 1125, 27461, 1227, 11002, 3498, 173, 1568, 1188, 3862, 1227, 488, 126, 1155, 488, 124, 128, 3012, 1257, 20896, 1300, 1158, 15229, 1167, 19422, 21172, 1125, 15807, 7863, 1197, 29244, 1346, 1357, 14882, 1909, 7790, 15666, 19606, 1186, 2822, 1388, 488, 125, 125, 2738, 1257, 6751, 3111, 1125, 16244, 2196, 1105, 1155, 488, 125, 131, 2738, 120, 130, 2798, 1257, 1207, 7514, 1296, 1349, 3102, 1129, 1167, 17491, 1222, 1731, 2040, 1922, 173, 1517, 6751, 1890, 1175, 124, 123, 2798, 1496, 2648, 5308, 1554, 1175, 125, 124, 2798, 116, 1167, 1170, 6525, 1125, 1321, 9314, 1170, 488, 125, 2921, 1388, 488, 124, 127, 2798, 1257, 7311, 2794, 11203, 1123, 1170, 9810, 2982, 18900, 1158, 16535, 1125, 1173, 1554, 11965, 1170, 488, 124, 129, 2798, 1167, 14065, 1186, 2068, 26557, 2567, 1125, 11203, 1187, 1125, 3631, 1170, 9810, 1109, 1170, 488, 126, 2921, 121, 1768, 10907, 2743, 1207, 24625, 2082, 190, 1188, 26279, 1108, 12579, 1175, 128, 2921, 116, 2648, 1281, 11642, 1214, 1300, 30019, 26557, 2750, 2782, 13210, 18087, 1170, 5796, 8351, 1128, 1256, 1674, 1263, 1207, 21863, 29304, 2137, 1125, 13210, 1123, 2961, 1160, 1388, 488, 127, 2921, 1323, 488, 126, 124, 3201, 1257, 20244, 2802, 1188, 12829, 13841, 1215, 7422, 2271, 4996, 1256, 24925, 1107, 1158, 24041, 8622, 1125, 1158, 1772, 3383, 23678, 16438, 1186, 4593, 23835, 1257, 2068, 1887, 3212, 20786, 14372, 14269, 3415, 1125, 1200, 1203, 1269, 1313, 1158, 2107, 1125, 1918, 1829, 1175, 127, 2921, 1496, 5891, 2313, 1307, 1277, 1125, 12829, 4586, 1346, 9893, 1313, 1207, 29318, 1227, 8009, 1119, 1105, 1125, 5873, 7452, 2100, 1175, 124, 124, 2921, 1496, 1548, 4732, 2240, 5604, 10964, 1313, 1158, 14924, 5904, 1125, 1198, 14669, 1591, 1175, 124, 132, 2921, 1496, 1207, 1252, 3464, 1125, 6659, 184, 1157, 1167, 1125, 26125, 1210, 3794, 1858, 1797, 1125, 1200, 1203, 1269, 1175, 125, 131, 2921, 1496, 1209, 1479, 1205, 1538, 2620, 20786, 14372, 1125, 27665, 1314, 1175, 124, 131, 3201, 1496, 3828, 12663, 1125, 7005, 22008, 1215, 1352, 1205, 1124, 9836, 1300, 1170, 5623, 23275, 1175, 126, 124, 3201, 4023, 488, 124, 124, 3201, 1257, 14789, 1855, 1416, 1439, 1167, 9701, 183, 2009, 1125, 21114, 244, 1188, 1158, 16535, 1125, 1173, 2322, 1319, 1965, 5639, 1125, 3984, 2495, 22160, 1300, 1207, 21863, 1765, 20196, 3589, 179, 1815, 1265, 3589, 1358, 1550, 2137, 1357, 8314, 1129, 1125, 8466, 1987, 2079, 1207, 28398, 1227, 6455, 1155, 488, 124, 123, 2822, 1257, 1207, 13014, 1550, 1541, 27300, 1170, 9810, 1109, 1155, 488, 127, 2822, 1257, 14789, 1125, 7311, 2794, 1188, 1653, 191, 30422, 119, 5639, 1125, 6429, 1141, 11270, 3296, 8830, 2818, 21645, 26557, 1125, 7311, 2794, 1155, 488, 125, 132, 2584, 1257, 14789, 1125, 7311, 2794, 1188, 1158, 16535, 1125, 16422, 9728, 1155, 488, 125, 130, 2875, 1257, 1170, 10973, 1281, 8166, 1170, 31822, 1731, 1125, 1158, 5203, 1227, 8407, 1183, 1388, 488, 125, 130, 2578, 1257, 1279, 9274, 1227, 28756, 1374, 1125, 1248, 2562, 1119, 1167, 1197, 2905, 4634, 1227, 2784, 1190, 1125, 14772, 1568, 25375, 1258, 1256, 14287, 1125, 1115, 7551, 17835, 181, 1182, 244, 1155, 488, 124, 128, 2578, 1257, 2669, 1277, 1283, 24278, 1227, 24135, 1167, 1147, 1414, 1430, 29987, 2097, 1188, 3942, 16460, 1155, 488, 126, 124, 2584, 1257, 14178, 1125, 1158, 30302, 5964, 1197, 1459, 3436, 16341, 2137, 2040, 6659, 18337, 5964, 1299, 22786, 1303, 1317, 6468, 9091, 3850, 1808, 1645, 21448, 1508, 9318, 9544, 1473, 1856, 1318, 10660, 1227, 9091, 1334, 4048, 1469, 4617, 1245, 4819, 1536, 2388, 1167, 4921, 18562, 5485, 22786, 1303, 1317, 4291, 8170, 8423, 22698, 1188, 1158, 18102, 1388, 10026, 11052, 1424, 2814, 5304, 488, 124, 129, 130, 127, 1313, 1170, 2854, 106, 16613, 4058, 1125, 1158, 2315, 2290, 7422, 2271, 4996, 9323, 1167, 5474, 2093, 124, 129, 130, 127, 1186, 2315, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 142, 1567, 2901, 8045, 10453, 488, 124, 129, 130, 127, 1227, 19325, 28876, 6268, 1354, 24962, 28716, 1424, 488, 129, 2749, 1257, 9771, 1227, 5809, 1338, 2971, 5725, 1158, 6086, 22327, 1125, 3370, 1125, 1158, 30185, 5650, 1313, 1170, 12071, 1125, 1158, 6545, 1125, 18454, 2163, 1155, 488, 131, 2749, 1257, 2605, 11150, 7482, 3215, 1112, 7354, 1270, 1452, 10468, 1125, 2315, 1175, 1773, 1186, 488, 124, 129, 130, 130, 4023, 488, 132, 3141, 1257, 12074, 29754, 1300, 1158, 6252, 1125, 1158, 1152, 2532, 1378, 26644, 1262, 1155, 488, 124, 125, 3141, 1257, 1207, 21863, 17377, 1227, 23711, 1125, 1266, 4424, 3023, 27300, 1158, 6280, 9007, 1188, 18564, 8348, 1167, 28822, 6369, 1158, 1772, 3383, 23678, 1389, 121, 6982, 2782, 8121, 15361, 6645, 2114, 1527, 5909, 1202, 1104, 1623, 1170, 488, 124, 127, 18802, 20575, 2648, 1296, 1349, 7541, 1293, 2091, 1227, 488, 125, 126, 1317, 488, 125, 131, 3141, 1155, 29966, 1257, 29254, 29754, 1300, 1207, 2208, 7998, 7418, 1259, 2137, 10960, 5580, 1457, 1548, 10973, 1928, 6857, 1207, 1281, 2075, 2208, 7998, 23544, 1167, 3864, 1767, 1964, 14393, 1317, 1838, 1176, 1474, 1125, 1158, 3504, 28376, 1317, 1539, 5190, 2178, 1388, 488, 127, 2829, 1257, 6751, 3111, 1125, 1352, 1104, 2610, 119, 1296, 1349, 1603, 1303, 1215, 1170, 23711, 1125, 1266, 4424, 3023, 1388, 488, 126, 3012, 1257, 7622, 1902, 1125, 6545, 121, 6959, 1356, 4521, 1125, 27461, 1227, 11002, 3498, 173, 1568, 1188, 3862, 1227, 488, 126, 1155, 488, 124, 128, 3012, 1257, 20896, 1300, 1158, 15229, 1167, 19422, 21172, 1125, 15807, 7863, 1197, 29244, 1346, 1357, 14882, 1909, 7790, 15666, 19606, 1186, 2822, 1388, 488, 125, 125, 2738, 1257, 6751, 3111, 1125, 16244, 2196, 1105, 1155, 488, 125, 131, 2738, 120, 130, 2798, 1257, 1207, 7514, 1296, 1349, 3102, 1129, 1167, 17491, 1222, 1731, 2040, 1922, 173, 1517, 6751, 1890, 1175, 124, 123, 2798, 1496, 2648, 5308, 1554, 1175, 125, 124, 2798, 116, 1167, 1170, 6525, 1125, 1321, 9314, 1170, 488, 125, 2921, 1388, 488, 124, 127, 2798, 1257, 7311, 2794, 11203, 1123, 1170, 9810, 2982, 18900, 1158, 16535, 1125, 1173, 1554, 11965, 1170, 488, 124, 129, 2798, 1167, 14065, 1186, 2068, 26557, 2567, 1125, 11203, 1187, 1125, 3631, 1170, 9810, 1109, 1170, 488, 126, 2921, 121, 1768, 10907, 2743, 1207, 24625, 2082, 190, 1188, 26279, 1108, 12579, 1175, 128, 2921, 116, 2648, 1281, 11642, 1214, 1300, 30019, 26557, 2750, 2782, 13210, 18087, 1170, 5796, 8351, 1128, 1256, 1674, 1263, 1207, 21863, 29304, 2137, 1125, 13210, 1123, 2961, 1160, 1388, 488, 127, 2921, 1323, 488, 126, 124, 3201, 1257, 20244, 2802, 1188, 12829, 13841, 1215, 7422, 2271, 4996, 1256, 24925, 1107, 1158, 24041, 8622, 1125, 1158, 1772, 3383, 23678, 16438, 1186, 4593, 23835, 1257, 2068, 1887, 3212, 20786, 14372, 14269, 3415, 1125, 1200, 1203, 1269, 1313, 1158, 2107, 1125, 1918, 1829, 1175, 127, 2921, 1496, 5891, 2313, 1307, 1277, 1125, 12829, 4586, 1346, 9893, 1313, 1207, 29318, 1227, 8009, 1119, 1105, 1125, 5873, 7452, 2100, 1175, 124, 124, 2921, 1496, 1548, 4732, 2240, 5604, 10964, 1313, 1158, 14924, 5904, 1125, 1198, 14669, 1591, 1175, 124, 132, 2921, 1496, 1207, 1252, 3464, 1125, 6659, 184, 1157, 1167, 1125, 26125, 1210, 3794, 1858, 1797, 1125, 1200, 1203, 1269, 1175, 125, 131, 2921, 1496, 1209, 1479, 1205, 1538, 2620, 20786, 14372, 1125, 27665, 1314, 1175, 124, 131, 3201, 1496, 3828, 12663, 1125, 7005, 22008, 1215, 1352, 1205, 1124, 9836, 1300, 1170, 5623, 23275, 1175, 126, 124, 3201, 4023, 488, 124, 124, 3201, 1257, 14789, 1855, 1416, 1439, 1167, 9701, 183, 2009, 1125, 21114, 244, 1188, 1158, 16535, 1125, 1173, 2322, 1319, 1965, 5639, 1125, 3984, 2495, 22160, 1300, 1207, 21863, 1765, 20196, 3589, 179, 1815, 1265, 3589, 1358, 1550, 2137, 1357, 8314, 1129, 1125, 8466, 1987, 2079, 1207, 28398, 1227, 6455, 1155, 488, 124, 123, 2822, 1257, 1207, 13014, 1550, 1541, 27300, 1170, 9810, 1109, 1155, 488, 127, 2822, 1257, 14789, 1125, 7311, 2794, 1188, 1653, 191, 30422, 119, 5639, 1125, 6429, 1141, 11270, 3296, 8830, 2818, 21645, 26557, 1125, 7311, 2794, 1155, 488, 125, 132, 2584, 1257, 14789, 1125, 7311, 2794, 1188, 1158, 16535, 1125, 16422, 9728, 1155, 488, 125, 130, 2875, 1257, 1170, 10973, 1281, 8166, 1170, 31822, 1731, 1125, 1158, 5203, 1227, 8407, 1183, 1388, 488, 125, 130, 2578, 1257, 1279, 9274, 1227, 28756, 1374, 1125, 1248, 2562, 1119, 1167, 1197, 2905, 4634, 1227, 2784, 1190, 1125, 14772, 1568, 25375, 1258, 1256, 14287, 1125, 1115, 7551, 17835, 181, 1182, 244, 1155, 488, 124, 128, 2578, 1257, 2669, 1277, 1283, 24278, 1227, 24135, 1167, 1147, 1414, 1430, 29987, 2097, 1188, 3942, 16460, 1155, 488, 126, 124, 2584, 1257, 14178, 1125, 1158, 30302, 5964, 1197, 1459, 3436, 16341, 2137, 2040, 6659, 18337, 5964, 1299, 22786, 1303, 1317, 6468, 9091, 3850, 1808, 1645, 21448, 1508, 9318, 9544, 1473, 1856, 1318, 10660, 1227, 9091, 1334, 4048, 1469, 4617, 1245, 4819, 1536, 2388, 1167, 4921, 18562, 5485, 22786, 1303, 1317, 4291, 8170, 8423, 22698, 1188, 1158, 18102, 1388, 10026, 11052, 1424, 2814, 5304, 488, 124, 129, 130, 127, 1313, 1170, 2854, 106, 16613, 4058, 1125, 1158, 2315, 2290, 7422, 2271, 4996, 9323, 1167, 5474, 2093, 124, 129, 130, 127, 1186, 2315, 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, 144, 19789, 2324, 15499, 2765, 5252, 1170, 488, 124, 124, 2829, 488, 124, 132, 127, 125, 119, 1299, 1189, 1332, 11682, 25081, 1167, 12354, 29069, 10570, 1517, 14231, 2586, 19789, 2324, 15499, 1108, 1110, 6403, 244, 22010, 1125, 1158, 13391, 1188, 19543, 1197, 3032, 1541, 26258, 1634, 1167, 3031, 12784, 3356, 1215, 1170, 9452, 121, 1254, 19789, 2324, 15499, 1108, 1299, 1189, 13970, 25081, 10570, 1517, 1357, 1110, 8922, 3713, 1125, 8196, 2585, 1527, 1299, 2445, 19166, 7745, 8661, 1424, 144, 19789, 2324, 15499, 1108, 1299, 9918, 1256, 1909, 8196, 2129, 1984, 30231, 1167, 4254, 1112, 8010, 6111, 1255, 1157, 1388, 2951, 8675, 1594, 3418, 25083, 1757, 1125, 488, 124, 132, 131, 125, 1299, 1189, 3418, 1357, 21045, 23258, 1265, 1105, 2519, 4875, 11391, 1303, 1215, 1594, 8658, 1557, 3649, 1167, 9159, 1125, 19308, 9900, 1136, 1313, 1189, 14084, 1125, 5355, 7002, 180, 4338, 3266, 11151, 1189, 5188, 2574, 2750, 1170, 13640, 1125, 1561, 1408, 9993, 1675, 2620, 1167, 1186, 4051, 1199, 1318, 21638, 10187, 1774, 1188, 1158, 14022, 119, 2399, 12459, 1125, 5887, 1318, 10656, 1256, 8182, 1594, 12880, 3925, 8145, 1252, 3567, 195, 1469, 1318, 18521, 8126, 24019, 1256, 11924, 1125, 1561, 2429, 11104, 8509, 1986, 119, 1282, 13221, 6348, 19789, 2324, 15499, 1108, 1299, 1188, 1158, 2768, 2958, 1442, 2009, 1167, 1114, 1384, 3415, 14023, 6417, 4134, 488, 1424, 488, 124, 132, 131, 124, 1257, 8200, 2615, 1452, 172, 1165, 9935, 1153, 3835, 31459, 1153, 8200, 2615, 1452, 172, 1260, 488, 124, 132, 131, 125, 1257, 25083, 1757, 1469, 1198, 1841, 6353, 246, 190, 1167, 1254, 19789, 2324, 15499, 23923, 488, 124, 132, 131, 126, 1257, 10313, 1149, 23043, 106, 488, 124, 132, 131, 128, 1257, 18431, 29241, 7223, 1410, 24553, 4698, 1265, 1108, 1739, 1127, 240, 185, 1108, 1260, 488, 124, 132, 131, 131, 1257, 13082, 180, 1167, 4389, 7203, 6700, 14989, 31617, 26119, 1260, 488, 124, 132, 131, 132, 1257, 28937, 1167, 1204, 5224, 1204, 1575, 6713, 1124, 197, 1119, 1204, 5224, 1204, 1575, 1260, 488, 124, 132, 132, 126, 1257, 20492, 6398, 1161, 13556, 1175, 2524, 1131, 1738, 181, 2529, 1260, 488, 124, 132, 132, 127, 1257, 3091, 11216, 4736, 11209, 8733, 1173, 17024, 3994, 4698, 1109, 1252, 1869, 190, 1347, 1138, 2162, 5336, 116, 1469, 18965, 1172, 4520, 23121, 25830, 1141, 20031, 1300, 1158, 2492, 1227, 31891, 15243, 1266, 1733, 15406, 106, 488, 124, 132, 132, 127, 1257, 27070, 7345, 1233, 1615, 2523, 488, 124, 132, 132, 129, 1257, 1198, 1475, 9945, 488, 125, 123, 123, 123, 1257, 26082, 3454, 1135, 31190, 1104, 4289, 6448, 1166, 1182, 2322, 1115, 258, 7499, 488, 125, 123, 123, 127, 1257, 27982, 1778, 7497, 250, 6472, 488, 125, 123, 123, 130, 1257, 16086, 2284, 1626, 26082, 6574, 13152, 1193, 1130, 1426, 175, 178, 1475, 1260, 488, 125, 123, 124, 123, 1257, 7204, 2718, 1113, 240, 1268, 258, 1196, 7364, 5825, 1424, 8198, 30364, 1188, 1254, 19789, 2324, 15499, 1108, 3523, 1518, 2874, 1142, 1903, 1175, 8133, 23010, 1303, 1300, 28536, 4624, 9264, 194, 1757, 1862, 8715, 3742, 1836, 10570, 1517, 1227, 23841, 6298, 9449, 1836, 10570, 1517, 1227, 12136, 25525, 6298, 5968, 1790, 1793, 10570, 1517, 8156, 1186, 2829, 488, 124, 132, 127, 125, 8156, 1188, 1165, 5344, 179, 5819, 114, 32001, 1424, 32000, 20036, 24623, 144, 19789, 2324, 15499, 2765, 5252, 1170, 488, 124, 124, 2829, 488, 124, 132, 127, 125, 119, 1299, 1189, 1332, 11682, 25081, 1167, 12354, 29069, 10570, 1517, 14231, 2586, 19789, 2324, 15499, 1108, 1110, 6403, 244, 22010, 1125, 1158, 13391, 1188, 19543, 1197, 3032, 1541, 26258, 1634, 1167, 3031, 12784, 3356, 1215, 1170, 9452, 121, 1254, 19789, 2324, 15499, 1108, 1299, 1189, 13970, 25081, 10570, 1517, 1357, 1110, 8922, 3713, 1125, 8196, 2585, 1527, 1299, 2445, 19166, 7745, 8661, 1424, 144, 19789, 2324, 15499, 1108, 1299, 9918, 1256, 1909, 8196, 2129, 1984, 30231, 1167, 4254, 1112, 8010, 6111, 1255, 1157, 1388, 2951, 8675, 1594, 3418, 25083, 1757, 1125, 488, 124, 132, 131, 125, 1299, 1189, 3418, 1357, 21045, 23258, 1265, 1105, 2519, 4875, 11391, 1303, 1215, 1594, 8658, 1557, 3649, 1167, 9159, 1125, 19308, 9900, 1136, 1313, 1189, 14084, 1125, 5355, 7002, 180, 4338, 3266, 11151, 1189, 5188, 2574, 2750, 1170, 13640, 1125, 1561, 1408, 9993, 1675, 2620, 1167, 1186, 4051, 1199, 1318, 21638, 10187, 1774, 1188, 1158, 14022, 119, 2399, 12459, 1125, 5887, 1318, 10656, 1256, 8182, 1594, 12880, 3925, 8145, 1252, 3567, 195, 1469, 1318, 18521, 8126, 24019, 1256, 11924, 1125, 1561, 2429, 11104, 8509, 1986, 119, 1282, 13221, 6348, 19789, 2324, 15499, 1108, 1299, 1188, 1158, 2768, 2958, 1442, 2009, 1167, 1114, 1384, 3415, 14023, 6417, 4134, 488, 1424, 488, 124, 132, 131, 124, 1257, 8200, 2615, 1452, 172, 1165, 9935, 1153, 3835, 31459, 1153, 8200, 2615, 1452, 172, 1260, 488, 124, 132, 131, 125, 1257, 25083, 1757, 1469, 1198, 1841, 6353, 246, 190, 1167, 1254, 19789, 2324, 15499, 23923, 488, 124, 132, 131, 126, 1257, 10313, 1149, 23043, 106, 488, 124, 132, 131, 128, 1257, 18431, 29241, 7223, 1410, 24553, 4698, 1265, 1108, 1739, 1127, 240, 185, 1108, 1260, 488, 124, 132, 131, 131, 1257, 13082, 180, 1167, 4389, 7203, 6700, 14989, 31617, 26119, 1260, 488, 124, 132, 131, 132, 1257, 28937, 1167, 1204, 5224, 1204, 1575, 6713, 1124, 197, 1119, 1204, 5224, 1204, 1575, 1260, 488, 124, 132, 132, 126, 1257, 20492, 6398, 1161, 13556, 1175, 2524, 1131, 1738, 181, 2529, 1260, 488, 124, 132, 132, 127, 1257, 3091, 11216, 4736, 11209, 8733, 1173, 17024, 3994, 4698, 1109, 1252, 1869, 190, 1347, 1138, 2162, 5336, 116, 1469, 18965, 1172, 4520, 23121, 25830, 1141, 20031, 1300, 1158, 2492, 1227, 31891, 15243, 1266, 1733, 15406, 106, 488, 124, 132, 132, 127, 1257, 27070, 7345, 1233, 1615, 2523, 488, 124, 132, 132, 129, 1257, 1198, 1475, 9945, 488, 125, 123, 123, 123, 1257, 26082, 3454, 1135, 31190, 1104, 4289, 6448, 1166, 1182, 2322, 1115, 258, 7499, 488, 125, 123, 123, 127, 1257, 27982, 1778, 7497, 250, 6472, 488, 125, 123, 123, 130, 1257, 16086, 2284, 1626, 26082, 6574, 13152, 1193, 1130, 1426, 175, 178, 1475, 1260, 488, 125, 123, 124, 123, 1257, 7204, 2718, 1113, 240, 1268, 258, 1196, 7364, 5825, 1424, 8198, 30364, 1188, 1254, 19789, 2324, 15499, 1108, 3523, 1518, 2874, 1142, 1903, 1175, 8133, 23010, 1303, 1300, 28536, 4624, 9264, 194, 1757, 1862, 8715, 3742, 1836, 10570, 1517, 1227, 23841, 6298, 9449, 1836, 10570, 1517, 1227, 12136, 25525, 6298, 5968, 1790, 1793, 10570, 1517, 8156, 1186, 2829, 488, 124, 132, 127, 125, 8156, 1188, 1165, 5344, 179, 5819, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 144, 19789, 2324, 15499, 2765, 5252, 1170, 488, 124, 124, 2829, 488, 124, 132, 127, 125, 119, 1299, 1189, 1332, 11682, 25081, 1167, 12354, 29069, 10570, 1517, 14231, 2586, 19789, 2324, 15499, 1108, 1110, 6403, 244, 22010, 1125, 1158, 13391, 1188, 19543, 1197, 3032, 1541, 26258, 1634, 1167, 3031, 12784, 3356, 1215, 1170, 9452, 121, 1254, 19789, 2324, 15499, 1108, 1299, 1189, 13970, 25081, 10570, 1517, 1357, 1110, 8922, 3713, 1125, 8196, 2585, 1527, 1299, 2445, 19166, 7745, 8661, 1424, 144, 19789, 2324, 15499, 1108, 1299, 9918, 1256, 1909, 8196, 2129, 1984, 30231, 1167, 4254, 1112, 8010, 6111, 1255, 1157, 1388, 2951, 8675, 1594, 3418, 25083, 1757, 1125, 488, 124, 132, 131, 125, 1299, 1189, 3418, 1357, 21045, 23258, 1265, 1105, 2519, 4875, 11391, 1303, 1215, 1594, 8658, 1557, 3649, 1167, 9159, 1125, 19308, 9900, 1136, 1313, 1189, 14084, 1125, 5355, 7002, 180, 4338, 3266, 11151, 1189, 5188, 2574, 2750, 1170, 13640, 1125, 1561, 1408, 9993, 1675, 2620, 1167, 1186, 4051, 1199, 1318, 21638, 10187, 1774, 1188, 1158, 14022, 119, 2399, 12459, 1125, 5887, 1318, 10656, 1256, 8182, 1594, 12880, 3925, 8145, 1252, 3567, 195, 1469, 1318, 18521, 8126, 24019, 1256, 11924, 1125, 1561, 2429, 11104, 8509, 1986, 119, 1282, 13221, 6348, 19789, 2324, 15499, 1108, 1299, 1188, 1158, 2768, 2958, 1442, 2009, 1167, 1114, 1384, 3415, 14023, 6417, 4134, 488, 1424, 488, 124, 132, 131, 124, 1257, 8200, 2615, 1452, 172, 1165, 9935, 1153, 3835, 31459, 1153, 8200, 2615, 1452, 172, 1260, 488, 124, 132, 131, 125, 1257, 25083, 1757, 1469, 1198, 1841, 6353, 246, 190, 1167, 1254, 19789, 2324, 15499, 23923, 488, 124, 132, 131, 126, 1257, 10313, 1149, 23043, 106, 488, 124, 132, 131, 128, 1257, 18431, 29241, 7223, 1410, 24553, 4698, 1265, 1108, 1739, 1127, 240, 185, 1108, 1260, 488, 124, 132, 131, 131, 1257, 13082, 180, 1167, 4389, 7203, 6700, 14989, 31617, 26119, 1260, 488, 124, 132, 131, 132, 1257, 28937, 1167, 1204, 5224, 1204, 1575, 6713, 1124, 197, 1119, 1204, 5224, 1204, 1575, 1260, 488, 124, 132, 132, 126, 1257, 20492, 6398, 1161, 13556, 1175, 2524, 1131, 1738, 181, 2529, 1260, 488, 124, 132, 132, 127, 1257, 3091, 11216, 4736, 11209, 8733, 1173, 17024, 3994, 4698, 1109, 1252, 1869, 190, 1347, 1138, 2162, 5336, 116, 1469, 18965, 1172, 4520, 23121, 25830, 1141, 20031, 1300, 1158, 2492, 1227, 31891, 15243, 1266, 1733, 15406, 106, 488, 124, 132, 132, 127, 1257, 27070, 7345, 1233, 1615, 2523, 488, 124, 132, 132, 129, 1257, 1198, 1475, 9945, 488, 125, 123, 123, 123, 1257, 26082, 3454, 1135, 31190, 1104, 4289, 6448, 1166, 1182, 2322, 1115, 258, 7499, 488, 125, 123, 123, 127, 1257, 27982, 1778, 7497, 250, 6472, 488, 125, 123, 123, 130, 1257, 16086, 2284, 1626, 26082, 6574, 13152, 1193, 1130, 1426, 175, 178, 1475, 1260, 488, 125, 123, 124, 123, 1257, 7204, 2718, 1113, 240, 1268, 258, 1196, 7364, 5825, 1424, 8198, 30364, 1188, 1254, 19789, 2324, 15499, 1108, 3523, 1518, 2874, 1142, 1903, 1175, 8133, 23010, 1303, 1300, 28536, 4624, 9264, 194, 1757, 1862, 8715, 3742, 1836, 10570, 1517, 1227, 23841, 6298, 9449, 1836, 10570, 1517, 1227, 12136, 25525, 6298, 5968, 1790, 1793, 10570, 1517, 8156, 1186, 2829, 488, 124, 132, 127, 125, 8156, 1188, 1165, 5344, 179, 5819, 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, 164, 4286, 5186, 1321, 1562, 5485, 14232, 1170, 488, 125, 123, 2822, 488, 124, 132, 131, 130, 1188, 6721, 1299, 1318, 1332, 1216, 8117, 1317, 1148, 1278, 1167, 1127, 1567, 1278, 1186, 8077, 5964, 14231, 11934, 1105, 16554, 7424, 1227, 3418, 21095, 1140, 1108, 1125, 17530, 4279, 1712, 176, 1165, 1470, 244, 1309, 1909, 6393, 28817, 2457, 121, 1671, 4286, 5186, 1321, 1562, 1262, 1299, 1318, 16402, 29139, 1125, 19543, 1125, 3426, 1244, 4670, 1214, 1772, 1128, 1488, 6526, 30079, 1844, 1909, 28407, 1317, 9452, 1186, 488, 125, 123, 123, 130, 1469, 6353, 2492, 4249, 1382, 1318, 30882, 7808, 1960, 1125, 10563, 23242, 4520, 172, 8370, 488, 125, 123, 124, 127, 119, 2399, 8482, 1148, 1317, 12103, 1158, 9545, 1548, 28608, 1125, 1158, 4592, 5519, 3540, 1265, 1150, 4173, 1146, 6271, 1357, 20459, 30090, 1227, 1501, 1208, 1334, 1125, 1158, 9915, 1632, 8370, 488, 125, 123, 124, 129, 119, 2399, 16773, 1158, 6847, 2391, 1125, 1158, 24501, 6586, 1125, 1158, 4726, 29882, 1443, 7162, 1445, 29571, 1300, 2315, 488, 125, 119, 1313, 5685, 2399, 11925, 4326, 1170, 6315, 1125, 3728, 25707, 3743, 16313, 14277, 22053, 1125, 5855, 8370, 488, 125, 123, 125, 125, 119, 2399, 5617, 1167, 2367, 1186, 8077, 6824, 176, 2052, 3293, 1119, 30893, 1523, 9545, 1125, 12103, 23389, 1603, 2039, 7329, 1300, 1158, 18501, 1902, 1167, 1170, 2854, 3293, 1119, 11870, 1303, 2519, 7635, 3597, 2620, 17569, 1369, 18526, 8243, 15656, 1105, 2174, 121, 1643, 9545, 2934, 29571, 1300, 2315, 16917, 1833, 5629, 1170, 488, 124, 128, 2578, 488, 125, 123, 125, 125, 1175, 1568, 4521, 1257, 1671, 6945, 186, 6507, 1156, 1130, 1117, 1323, 1350, 5012, 186, 28677, 4023, 145, 6417, 4134, 12498, 7359, 106, 488, 125, 123, 123, 129, 1257, 1202, 1126, 1278, 1186, 19009, 1125, 26417, 8865, 16678, 1257, 2605, 183, 17697, 106, 488, 125, 123, 123, 130, 1257, 6353, 2492, 4249, 1382, 1318, 30882, 7808, 1960, 1125, 10563, 23242, 4520, 172, 1257, 1165, 25655, 1575, 106, 488, 125, 123, 123, 130, 1257, 26715, 1357, 16480, 12412, 1245, 1548, 1266, 196, 1257, 3728, 25707, 106, 488, 125, 123, 123, 132, 1257, 1643, 12507, 1197, 6608, 1125, 5450, 5578, 20169, 14504, 1257, 1318, 15379, 106, 488, 125, 123, 124, 123, 1257, 20666, 1989, 1125, 21408, 1204, 2719, 2759, 1257, 5371, 23923, 488, 125, 123, 125, 123, 1257, 14954, 12412, 1245, 14922, 2100, 1257, 2260, 1482, 1303, 1188, 6113, 1348, 7993, 1728, 14463, 24367, 1819, 28084, 106, 488, 125, 123, 123, 128, 1257, 26119, 1808, 174, 1511, 3615, 5540, 488, 124, 127, 119, 15956, 488, 124, 20460, 17794, 116, 1125, 13949, 1405, 197, 1119, 1257, 1165, 1819, 27947, 488, 125, 123, 123, 129, 1257, 1306, 13401, 3016, 3615, 5540, 488, 124, 119, 15956, 488, 127, 116, 1257, 25267, 4847, 1569, 1651, 5005, 14541, 488, 125, 123, 123, 132, 1257, 31332, 23265, 3615, 5540, 488, 131, 119, 15956, 488, 130, 116, 1257, 5612, 27947, 488, 125, 123, 124, 124, 1257, 1165, 1205, 1532, 8185, 1167, 2306, 1139, 3340, 1105, 1125, 9521, 5578, 1165, 1992, 28862, 1257, 28444, 7821, 106, 488, 125, 123, 124, 124, 1257, 1808, 1204, 4363, 1298, 1321, 1627, 1125, 1202, 4910, 1366, 1233, 1478, 1269, 1257, 7980, 106, 488, 125, 123, 124, 129, 1257, 12801, 1125, 12339, 3615, 5540, 488, 124, 123, 119, 15956, 488, 124, 126, 116, 1257, 9161, 1314, 1643, 1278, 191, 106, 488, 125, 123, 124, 129, 1257, 4115, 19548, 1518, 14485, 1467, 3615, 5540, 488, 124, 119, 15956, 488, 124, 1167, 488, 125, 116, 1257, 21086, 172, 1518, 2719, 1217, 1168, 106, 2757, 488, 125, 123, 124, 130, 1257, 29882, 1443, 7162, 1445, 11779, 25699, 1158, 6586, 488, 128, 116, 1257, 3728, 25707, 3743, 2104, 1637, 12674, 1248, 8327, 1334, 106, 125, 123, 124, 130, 1257, 1933, 2868, 5044, 1364, 1125, 20705, 17921, 7416, 1257, 1318, 20755, 1774, 9323, 1167, 16828, 5825, 4713, 3400, 1188, 2801, 8156, 1186, 2822, 488, 124, 132, 131, 130, 9449, 9034, 5964, 1125, 9452, 9449, 9034, 5964, 1125, 14022, 9449, 9034, 5964, 1125, 12103, 32001, 1424, 32000, 20036, 13519, 4286, 5186, 1321, 1562, 5485, 14232, 1170, 488, 125, 123, 2822, 488, 124, 132, 131, 130, 1188, 6721, 1299, 1318, 1332, 1216, 8117, 1317, 1148, 1278, 1167, 1127, 1567, 1278, 1186, 8077, 5964, 14231, 11934, 1105, 16554, 7424, 1227, 3418, 21095, 1140, 1108, 1125, 17530, 4279, 1712, 176, 1165, 1470, 244, 1309, 1909, 6393, 28817, 2457, 121, 1671, 4286, 5186, 1321, 1562, 1262, 1299, 1318, 16402, 29139, 1125, 19543, 1125, 3426, 1244, 4670, 1214, 1772, 1128, 1488, 6526, 30079, 1844, 1909, 28407, 1317, 9452, 1186, 488, 125, 123, 123, 130, 1469, 6353, 2492, 4249, 1382, 1318, 30882, 7808, 1960, 1125, 10563, 23242, 4520, 172, 8370, 488, 125, 123, 124, 127, 119, 2399, 8482, 1148, 1317, 12103, 1158, 9545, 1548, 28608, 1125, 1158, 4592, 5519, 3540, 1265, 1150, 4173, 1146, 6271, 1357, 20459, 30090, 1227, 1501, 1208, 1334, 1125, 1158, 9915, 1632, 8370, 488, 125, 123, 124, 129, 119, 2399, 16773, 1158, 6847, 2391, 1125, 1158, 24501, 6586, 1125, 1158, 4726, 29882, 1443, 7162, 1445, 29571, 1300, 2315, 488, 125, 119, 1313, 5685, 2399, 11925, 4326, 1170, 6315, 1125, 3728, 25707, 3743, 16313, 14277, 22053, 1125, 5855, 8370, 488, 125, 123, 125, 125, 119, 2399, 5617, 1167, 2367, 1186, 8077, 6824, 176, 2052, 3293, 1119, 30893, 1523, 9545, 1125, 12103, 23389, 1603, 2039, 7329, 1300, 1158, 18501, 1902, 1167, 1170, 2854, 3293, 1119, 11870, 1303, 2519, 7635, 3597, 2620, 17569, 1369, 18526, 8243, 15656, 1105, 2174, 121, 1643, 9545, 2934, 29571, 1300, 2315, 16917, 1833, 5629, 1170, 488, 124, 128, 2578, 488, 125, 123, 125, 125, 1175, 1568, 4521, 1257, 1671, 6945, 186, 6507, 1156, 1130, 1117, 1323, 1350, 5012, 186, 28677, 4023, 145, 6417, 4134, 12498, 7359, 106, 488, 125, 123, 123, 129, 1257, 1202, 1126, 1278, 1186, 19009, 1125, 26417, 8865, 16678, 1257, 2605, 183, 17697, 106, 488, 125, 123, 123, 130, 1257, 6353, 2492, 4249, 1382, 1318, 30882, 7808, 1960, 1125, 10563, 23242, 4520, 172, 1257, 1165, 25655, 1575, 106, 488, 125, 123, 123, 130, 1257, 26715, 1357, 16480, 12412, 1245, 1548, 1266, 196, 1257, 3728, 25707, 106, 488, 125, 123, 123, 132, 1257, 1643, 12507, 1197, 6608, 1125, 5450, 5578, 20169, 14504, 1257, 1318, 15379, 106, 488, 125, 123, 124, 123, 1257, 20666, 1989, 1125, 21408, 1204, 2719, 2759, 1257, 5371, 23923, 488, 125, 123, 125, 123, 1257, 14954, 12412, 1245, 14922, 2100, 1257, 2260, 1482, 1303, 1188, 6113, 1348, 7993, 1728, 14463, 24367, 1819, 28084, 106, 488, 125, 123, 123, 128, 1257, 26119, 1808, 174, 1511, 3615, 5540, 488, 124, 127, 119, 15956, 488, 124, 20460, 17794, 116, 1125, 13949, 1405, 197, 1119, 1257, 1165, 1819, 27947, 488, 125, 123, 123, 129, 1257, 1306, 13401, 3016, 3615, 5540, 488, 124, 119, 15956, 488, 127, 116, 1257, 25267, 4847, 1569, 1651, 5005, 14541, 488, 125, 123, 123, 132, 1257, 31332, 23265, 3615, 5540, 488, 131, 119, 15956, 488, 130, 116, 1257, 5612, 27947, 488, 125, 123, 124, 124, 1257, 1165, 1205, 1532, 8185, 1167, 2306, 1139, 3340, 1105, 1125, 9521, 5578, 1165, 1992, 28862, 1257, 28444, 7821, 106, 488, 125, 123, 124, 124, 1257, 1808, 1204, 4363, 1298, 1321, 1627, 1125, 1202, 4910, 1366, 1233, 1478, 1269, 1257, 7980, 106, 488, 125, 123, 124, 129, 1257, 12801, 1125, 12339, 3615, 5540, 488, 124, 123, 119, 15956, 488, 124, 126, 116, 1257, 9161, 1314, 1643, 1278, 191, 106, 488, 125, 123, 124, 129, 1257, 4115, 19548, 1518, 14485, 1467, 3615, 5540, 488, 124, 119, 15956, 488, 124, 1167, 488, 125, 116, 1257, 21086, 172, 1518, 2719, 1217, 1168, 106, 2757, 488, 125, 123, 124, 130, 1257, 29882, 1443, 7162, 1445, 11779, 25699, 1158, 6586, 488, 128, 116, 1257, 3728, 25707, 3743, 2104, 1637, 12674, 1248, 8327, 1334, 106, 125, 123, 124, 130, 1257, 1933, 2868, 5044, 1364, 1125, 20705, 17921, 7416, 1257, 1318, 20755, 1774, 9323, 1167, 16828, 5825, 4713, 3400, 1188, 2801, 8156, 1186, 2822, 488, 124, 132, 131, 130, 9449, 9034, 5964, 1125, 9452, 9449, 9034, 5964, 1125, 14022, 9449, 9034, 5964, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 4286, 5186, 1321, 1562, 5485, 14232, 1170, 488, 125, 123, 2822, 488, 124, 132, 131, 130, 1188, 6721, 1299, 1318, 1332, 1216, 8117, 1317, 1148, 1278, 1167, 1127, 1567, 1278, 1186, 8077, 5964, 14231, 11934, 1105, 16554, 7424, 1227, 3418, 21095, 1140, 1108, 1125, 17530, 4279, 1712, 176, 1165, 1470, 244, 1309, 1909, 6393, 28817, 2457, 121, 1671, 4286, 5186, 1321, 1562, 1262, 1299, 1318, 16402, 29139, 1125, 19543, 1125, 3426, 1244, 4670, 1214, 1772, 1128, 1488, 6526, 30079, 1844, 1909, 28407, 1317, 9452, 1186, 488, 125, 123, 123, 130, 1469, 6353, 2492, 4249, 1382, 1318, 30882, 7808, 1960, 1125, 10563, 23242, 4520, 172, 8370, 488, 125, 123, 124, 127, 119, 2399, 8482, 1148, 1317, 12103, 1158, 9545, 1548, 28608, 1125, 1158, 4592, 5519, 3540, 1265, 1150, 4173, 1146, 6271, 1357, 20459, 30090, 1227, 1501, 1208, 1334, 1125, 1158, 9915, 1632, 8370, 488, 125, 123, 124, 129, 119, 2399, 16773, 1158, 6847, 2391, 1125, 1158, 24501, 6586, 1125, 1158, 4726, 29882, 1443, 7162, 1445, 29571, 1300, 2315, 488, 125, 119, 1313, 5685, 2399, 11925, 4326, 1170, 6315, 1125, 3728, 25707, 3743, 16313, 14277, 22053, 1125, 5855, 8370, 488, 125, 123, 125, 125, 119, 2399, 5617, 1167, 2367, 1186, 8077, 6824, 176, 2052, 3293, 1119, 30893, 1523, 9545, 1125, 12103, 23389, 1603, 2039, 7329, 1300, 1158, 18501, 1902, 1167, 1170, 2854, 3293, 1119, 11870, 1303, 2519, 7635, 3597, 2620, 17569, 1369, 18526, 8243, 15656, 1105, 2174, 121, 1643, 9545, 2934, 29571, 1300, 2315, 16917, 1833, 5629, 1170, 488, 124, 128, 2578, 488, 125, 123, 125, 125, 1175, 1568, 4521, 1257, 1671, 6945, 186, 6507, 1156, 1130, 1117, 1323, 1350, 5012, 186, 28677, 4023, 145, 6417, 4134, 12498, 7359, 106, 488, 125, 123, 123, 129, 1257, 1202, 1126, 1278, 1186, 19009, 1125, 26417, 8865, 16678, 1257, 2605, 183, 17697, 106, 488, 125, 123, 123, 130, 1257, 6353, 2492, 4249, 1382, 1318, 30882, 7808, 1960, 1125, 10563, 23242, 4520, 172, 1257, 1165, 25655, 1575, 106, 488, 125, 123, 123, 130, 1257, 26715, 1357, 16480, 12412, 1245, 1548, 1266, 196, 1257, 3728, 25707, 106, 488, 125, 123, 123, 132, 1257, 1643, 12507, 1197, 6608, 1125, 5450, 5578, 20169, 14504, 1257, 1318, 15379, 106, 488, 125, 123, 124, 123, 1257, 20666, 1989, 1125, 21408, 1204, 2719, 2759, 1257, 5371, 23923, 488, 125, 123, 125, 123, 1257, 14954, 12412, 1245, 14922, 2100, 1257, 2260, 1482, 1303, 1188, 6113, 1348, 7993, 1728, 14463, 24367, 1819, 28084, 106, 488, 125, 123, 123, 128, 1257, 26119, 1808, 174, 1511, 3615, 5540, 488, 124, 127, 119, 15956, 488, 124, 20460, 17794, 116, 1125, 13949, 1405, 197, 1119, 1257, 1165, 1819, 27947, 488, 125, 123, 123, 129, 1257, 1306, 13401, 3016, 3615, 5540, 488, 124, 119, 15956, 488, 127, 116, 1257, 25267, 4847, 1569, 1651, 5005, 14541, 488, 125, 123, 123, 132, 1257, 31332, 23265, 3615, 5540, 488, 131, 119, 15956, 488, 130, 116, 1257, 5612, 27947, 488, 125, 123, 124, 124, 1257, 1165, 1205, 1532, 8185, 1167, 2306, 1139, 3340, 1105, 1125, 9521, 5578, 1165, 1992, 28862, 1257, 28444, 7821, 106, 488, 125, 123, 124, 124, 1257, 1808, 1204, 4363, 1298, 1321, 1627, 1125, 1202, 4910, 1366, 1233, 1478, 1269, 1257, 7980, 106, 488, 125, 123, 124, 129, 1257, 12801, 1125, 12339, 3615, 5540, 488, 124, 123, 119, 15956, 488, 124, 126, 116, 1257, 9161, 1314, 1643, 1278, 191, 106, 488, 125, 123, 124, 129, 1257, 4115, 19548, 1518, 14485, 1467, 3615, 5540, 488, 124, 119, 15956, 488, 124, 1167, 488, 125, 116, 1257, 21086, 172, 1518, 2719, 1217, 1168, 106, 2757, 488, 125, 123, 124, 130, 1257, 29882, 1443, 7162, 1445, 11779, 25699, 1158, 6586, 488, 128, 116, 1257, 3728, 25707, 3743, 2104, 1637, 12674, 1248, 8327, 1334, 106, 125, 123, 124, 130, 1257, 1933, 2868, 5044, 1364, 1125, 20705, 17921, 7416, 1257, 1318, 20755, 1774, 9323, 1167, 16828, 5825, 4713, 3400, 1188, 2801, 8156, 1186, 2822, 488, 124, 132, 131, 130, 9449, 9034, 5964, 1125, 9452, 9449, 9034, 5964, 1125, 14022, 9449, 9034, 5964, 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, 1424, 114, 151, 1493, 172, 1200, 3982, 14624, 14232, 1170, 488, 126, 2584, 488, 124, 132, 131, 124, 1313, 1170, 31783, 1188, 2482, 4524, 1175, 15784, 7540, 1496, 1299, 1318, 29685, 13900, 14023, 6417, 4134, 12498, 7359, 1424, 488, 125, 123, 123, 131, 1257, 16181, 26997, 488, 125, 124, 1175, 125, 124, 116, 1125, 6927, 31950, 1310, 1257, 1518, 180, 1783, 6472, 488, 125, 123, 123, 131, 1257, 1165, 1728, 1263, 5250, 1125, 12426, 1863, 176, 1923, 1257, 2133, 3179, 106, 488, 125, 123, 123, 131, 1257, 21242, 1171, 14162, 2662, 488, 127, 5587, 1573, 1673, 14162, 2662, 116, 1257, 23857, 2168, 31291, 106, 488, 125, 123, 123, 132, 1257, 1808, 2908, 9410, 1690, 1175, 6379, 1226, 19451, 116, 1257, 1266, 1107, 1470, 6472, 488, 125, 123, 124, 123, 1257, 5638, 186, 14524, 1257, 2068, 193, 6472, 488, 125, 123, 124, 124, 1257, 17170, 197, 1762, 26091, 187, 8442, 12270, 1125, 4861, 2334, 1252, 1146, 10459, 1167, 4172, 1863, 1134, 172, 1257, 1200, 1493, 106, 488, 125, 123, 124, 132, 1257, 31029, 1233, 7963, 2375, 1125, 17599, 1119, 27359, 1257, 14215, 4313, 24367, 1819, 28084, 1424, 488, 124, 132, 132, 132, 1257, 2482, 15671, 23859, 17794, 1257, 1158, 6394, 1632, 3615, 5540, 488, 124, 119, 15956, 488, 128, 1260, 488, 125, 123, 123, 124, 1257, 2482, 15671, 5855, 15760, 1257, 1539, 1884, 183, 1198, 2146, 11403, 3615, 5540, 488, 124, 124, 119, 15956, 488, 124, 127, 1260, 488, 125, 123, 123, 124, 1257, 2482, 15671, 23859, 17794, 1257, 1863, 12910, 8486, 1539, 1475, 3615, 5540, 488, 125, 119, 15956, 488, 125, 124, 1260, 488, 125, 123, 123, 126, 1257, 19414, 1171, 1135, 5407, 1257, 1202, 1174, 3615, 5540, 488, 129, 119, 15956, 488, 127, 1260, 488, 125, 123, 123, 126, 1257, 31766, 1257, 5370, 1234, 8246, 1153, 1257, 1200, 1242, 4313, 3615, 5540, 488, 125, 119, 15956, 488, 124, 131, 1260, 488, 125, 123, 123, 127, 1257, 1808, 1173, 1273, 3948, 186, 1257, 1192, 2082, 172, 15411, 3615, 5540, 488, 128, 119, 15956, 488, 129, 1260, 488, 125, 123, 123, 129, 1257, 1293, 9599, 1361, 1645, 15320, 196, 1257, 3550, 1140, 3615, 5540, 488, 126, 119, 15956, 488, 129, 1260, 488, 125, 123, 123, 130, 1257, 2482, 15671, 23859, 17794, 1257, 6253, 1146, 3556, 1125, 8077, 1125, 14287, 14436, 3615, 5540, 488, 131, 119, 21299, 488, 124, 124, 1167, 488, 124, 127, 1260, 488, 125, 123, 123, 130, 1257, 2482, 15671, 23859, 17794, 1257, 6253, 1146, 3556, 1125, 8077, 1125, 14287, 14436, 3615, 5540, 488, 132, 119, 21299, 488, 125, 1167, 488, 124, 123, 1260, 488, 125, 123, 123, 130, 1257, 3335, 182, 1257, 488, 1173, 10876, 3615, 5540, 488, 128, 119, 15956, 488, 124, 129, 1260, 488, 125, 123, 123, 130, 120, 125, 123, 123, 131, 1257, 20761, 2058, 1257, 1653, 1134, 3464, 28630, 1257, 9899, 4309, 19875, 2340, 15156, 106, 488, 125, 123, 123, 131, 1257, 1222, 1398, 1213, 1257, 1671, 27311, 4148, 5995, 3615, 5540, 488, 126, 1260, 488, 125, 123, 123, 132, 1257, 1222, 1815, 9728, 1257, 1209, 193, 18100, 488, 125, 123, 124, 124, 1257, 3859, 9253, 13605, 1257, 14787, 6472, 488, 125, 123, 124, 125, 1257, 15663, 18887, 1135, 1233, 1402, 1147, 1192, 5579, 488, 125, 126, 1257, 4603, 23194, 488, 125, 123, 124, 125, 1257, 31503, 20445, 9580, 172, 1257, 3991, 3176, 1306, 2314, 5556, 106, 488, 125, 123, 124, 126, 1257, 2482, 21903, 1257, 8670, 1108, 4379, 7537, 106, 488, 125, 123, 124, 127, 1257, 13105, 10699, 1257, 9899, 1125, 5855, 106, 488, 125, 123, 124, 128, 1257, 4873, 2092, 1257, 18687, 1761, 8471, 1109, 6868, 1652, 2523, 488, 125, 123, 124, 129, 1257, 8415, 14431, 1257, 1808, 10691, 4173, 23850, 106, 488, 125, 123, 124, 129, 1257, 7673, 3553, 8391, 7632, 1257, 1321, 1292, 5007, 1142, 2303, 1260, 488, 125, 123, 124, 132, 1257, 1814, 16495, 25875, 1364, 1257, 1204, 1575, 106, 488, 125, 123, 124, 132, 1257, 23625, 1222, 6828, 1257, 23976, 1252, 26193, 488, 125, 123, 125, 124, 1323, 2595, 1257, 1410, 11496, 1132, 6787, 1257, 10357, 2747, 1606, 10357, 1524, 9560, 9836, 13776, 15615, 1272, 19101, 1438, 9323, 1167, 5474, 5532, 1354, 16718, 1424, 2093, 3742, 9034, 13900, 8156, 1186, 2584, 488, 124, 132, 131, 124, 9449, 9034, 1125, 20761, 2058, 1257, 1653, 1134, 3464, 28630, 114, 32001, 1424, 32000, 20036, 24623, 151, 1493, 172, 1200, 3982, 14624, 14232, 1170, 488, 126, 2584, 488, 124, 132, 131, 124, 1313, 1170, 31783, 1188, 2482, 4524, 1175, 15784, 7540, 1496, 1299, 1318, 29685, 13900, 14023, 6417, 4134, 12498, 7359, 1424, 488, 125, 123, 123, 131, 1257, 16181, 26997, 488, 125, 124, 1175, 125, 124, 116, 1125, 6927, 31950, 1310, 1257, 1518, 180, 1783, 6472, 488, 125, 123, 123, 131, 1257, 1165, 1728, 1263, 5250, 1125, 12426, 1863, 176, 1923, 1257, 2133, 3179, 106, 488, 125, 123, 123, 131, 1257, 21242, 1171, 14162, 2662, 488, 127, 5587, 1573, 1673, 14162, 2662, 116, 1257, 23857, 2168, 31291, 106, 488, 125, 123, 123, 132, 1257, 1808, 2908, 9410, 1690, 1175, 6379, 1226, 19451, 116, 1257, 1266, 1107, 1470, 6472, 488, 125, 123, 124, 123, 1257, 5638, 186, 14524, 1257, 2068, 193, 6472, 488, 125, 123, 124, 124, 1257, 17170, 197, 1762, 26091, 187, 8442, 12270, 1125, 4861, 2334, 1252, 1146, 10459, 1167, 4172, 1863, 1134, 172, 1257, 1200, 1493, 106, 488, 125, 123, 124, 132, 1257, 31029, 1233, 7963, 2375, 1125, 17599, 1119, 27359, 1257, 14215, 4313, 24367, 1819, 28084, 1424, 488, 124, 132, 132, 132, 1257, 2482, 15671, 23859, 17794, 1257, 1158, 6394, 1632, 3615, 5540, 488, 124, 119, 15956, 488, 128, 1260, 488, 125, 123, 123, 124, 1257, 2482, 15671, 5855, 15760, 1257, 1539, 1884, 183, 1198, 2146, 11403, 3615, 5540, 488, 124, 124, 119, 15956, 488, 124, 127, 1260, 488, 125, 123, 123, 124, 1257, 2482, 15671, 23859, 17794, 1257, 1863, 12910, 8486, 1539, 1475, 3615, 5540, 488, 125, 119, 15956, 488, 125, 124, 1260, 488, 125, 123, 123, 126, 1257, 19414, 1171, 1135, 5407, 1257, 1202, 1174, 3615, 5540, 488, 129, 119, 15956, 488, 127, 1260, 488, 125, 123, 123, 126, 1257, 31766, 1257, 5370, 1234, 8246, 1153, 1257, 1200, 1242, 4313, 3615, 5540, 488, 125, 119, 15956, 488, 124, 131, 1260, 488, 125, 123, 123, 127, 1257, 1808, 1173, 1273, 3948, 186, 1257, 1192, 2082, 172, 15411, 3615, 5540, 488, 128, 119, 15956, 488, 129, 1260, 488, 125, 123, 123, 129, 1257, 1293, 9599, 1361, 1645, 15320, 196, 1257, 3550, 1140, 3615, 5540, 488, 126, 119, 15956, 488, 129, 1260, 488, 125, 123, 123, 130, 1257, 2482, 15671, 23859, 17794, 1257, 6253, 1146, 3556, 1125, 8077, 1125, 14287, 14436, 3615, 5540, 488, 131, 119, 21299, 488, 124, 124, 1167, 488, 124, 127, 1260, 488, 125, 123, 123, 130, 1257, 2482, 15671, 23859, 17794, 1257, 6253, 1146, 3556, 1125, 8077, 1125, 14287, 14436, 3615, 5540, 488, 132, 119, 21299, 488, 125, 1167, 488, 124, 123, 1260, 488, 125, 123, 123, 130, 1257, 3335, 182, 1257, 488, 1173, 10876, 3615, 5540, 488, 128, 119, 15956, 488, 124, 129, 1260, 488, 125, 123, 123, 130, 120, 125, 123, 123, 131, 1257, 20761, 2058, 1257, 1653, 1134, 3464, 28630, 1257, 9899, 4309, 19875, 2340, 15156, 106, 488, 125, 123, 123, 131, 1257, 1222, 1398, 1213, 1257, 1671, 27311, 4148, 5995, 3615, 5540, 488, 126, 1260, 488, 125, 123, 123, 132, 1257, 1222, 1815, 9728, 1257, 1209, 193, 18100, 488, 125, 123, 124, 124, 1257, 3859, 9253, 13605, 1257, 14787, 6472, 488, 125, 123, 124, 125, 1257, 15663, 18887, 1135, 1233, 1402, 1147, 1192, 5579, 488, 125, 126, 1257, 4603, 23194, 488, 125, 123, 124, 125, 1257, 31503, 20445, 9580, 172, 1257, 3991, 3176, 1306, 2314, 5556, 106, 488, 125, 123, 124, 126, 1257, 2482, 21903, 1257, 8670, 1108, 4379, 7537, 106, 488, 125, 123, 124, 127, 1257, 13105, 10699, 1257, 9899, 1125, 5855, 106, 488, 125, 123, 124, 128, 1257, 4873, 2092, 1257, 18687, 1761, 8471, 1109, 6868, 1652, 2523, 488, 125, 123, 124, 129, 1257, 8415, 14431, 1257, 1808, 10691, 4173, 23850, 106, 488, 125, 123, 124, 129, 1257, 7673, 3553, 8391, 7632, 1257, 1321, 1292, 5007, 1142, 2303, 1260, 488, 125, 123, 124, 132, 1257, 1814, 16495, 25875, 1364, 1257, 1204, 1575, 106, 488, 125, 123, 124, 132, 1257, 23625, 1222, 6828, 1257, 23976, 1252, 26193, 488, 125, 123, 125, 124, 1323, 2595, 1257, 1410, 11496, 1132, 6787, 1257, 10357, 2747, 1606, 10357, 1524, 9560, 9836, 13776, 15615, 1272, 19101, 1438, 9323, 1167, 5474, 5532, 1354, 16718, 1424, 2093, 3742, 9034, 13900, 8156, 1186, 2584, 488, 124, 132, 131, 124, 9449, 9034, 1125, 20761, 2058, 1257, 1653, 1134, 3464, 28630, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1493, 172, 1200, 3982, 14624, 14232, 1170, 488, 126, 2584, 488, 124, 132, 131, 124, 1313, 1170, 31783, 1188, 2482, 4524, 1175, 15784, 7540, 1496, 1299, 1318, 29685, 13900, 14023, 6417, 4134, 12498, 7359, 1424, 488, 125, 123, 123, 131, 1257, 16181, 26997, 488, 125, 124, 1175, 125, 124, 116, 1125, 6927, 31950, 1310, 1257, 1518, 180, 1783, 6472, 488, 125, 123, 123, 131, 1257, 1165, 1728, 1263, 5250, 1125, 12426, 1863, 176, 1923, 1257, 2133, 3179, 106, 488, 125, 123, 123, 131, 1257, 21242, 1171, 14162, 2662, 488, 127, 5587, 1573, 1673, 14162, 2662, 116, 1257, 23857, 2168, 31291, 106, 488, 125, 123, 123, 132, 1257, 1808, 2908, 9410, 1690, 1175, 6379, 1226, 19451, 116, 1257, 1266, 1107, 1470, 6472, 488, 125, 123, 124, 123, 1257, 5638, 186, 14524, 1257, 2068, 193, 6472, 488, 125, 123, 124, 124, 1257, 17170, 197, 1762, 26091, 187, 8442, 12270, 1125, 4861, 2334, 1252, 1146, 10459, 1167, 4172, 1863, 1134, 172, 1257, 1200, 1493, 106, 488, 125, 123, 124, 132, 1257, 31029, 1233, 7963, 2375, 1125, 17599, 1119, 27359, 1257, 14215, 4313, 24367, 1819, 28084, 1424, 488, 124, 132, 132, 132, 1257, 2482, 15671, 23859, 17794, 1257, 1158, 6394, 1632, 3615, 5540, 488, 124, 119, 15956, 488, 128, 1260, 488, 125, 123, 123, 124, 1257, 2482, 15671, 5855, 15760, 1257, 1539, 1884, 183, 1198, 2146, 11403, 3615, 5540, 488, 124, 124, 119, 15956, 488, 124, 127, 1260, 488, 125, 123, 123, 124, 1257, 2482, 15671, 23859, 17794, 1257, 1863, 12910, 8486, 1539, 1475, 3615, 5540, 488, 125, 119, 15956, 488, 125, 124, 1260, 488, 125, 123, 123, 126, 1257, 19414, 1171, 1135, 5407, 1257, 1202, 1174, 3615, 5540, 488, 129, 119, 15956, 488, 127, 1260, 488, 125, 123, 123, 126, 1257, 31766, 1257, 5370, 1234, 8246, 1153, 1257, 1200, 1242, 4313, 3615, 5540, 488, 125, 119, 15956, 488, 124, 131, 1260, 488, 125, 123, 123, 127, 1257, 1808, 1173, 1273, 3948, 186, 1257, 1192, 2082, 172, 15411, 3615, 5540, 488, 128, 119, 15956, 488, 129, 1260, 488, 125, 123, 123, 129, 1257, 1293, 9599, 1361, 1645, 15320, 196, 1257, 3550, 1140, 3615, 5540, 488, 126, 119, 15956, 488, 129, 1260, 488, 125, 123, 123, 130, 1257, 2482, 15671, 23859, 17794, 1257, 6253, 1146, 3556, 1125, 8077, 1125, 14287, 14436, 3615, 5540, 488, 131, 119, 21299, 488, 124, 124, 1167, 488, 124, 127, 1260, 488, 125, 123, 123, 130, 1257, 2482, 15671, 23859, 17794, 1257, 6253, 1146, 3556, 1125, 8077, 1125, 14287, 14436, 3615, 5540, 488, 132, 119, 21299, 488, 125, 1167, 488, 124, 123, 1260, 488, 125, 123, 123, 130, 1257, 3335, 182, 1257, 488, 1173, 10876, 3615, 5540, 488, 128, 119, 15956, 488, 124, 129, 1260, 488, 125, 123, 123, 130, 120, 125, 123, 123, 131, 1257, 20761, 2058, 1257, 1653, 1134, 3464, 28630, 1257, 9899, 4309, 19875, 2340, 15156, 106, 488, 125, 123, 123, 131, 1257, 1222, 1398, 1213, 1257, 1671, 27311, 4148, 5995, 3615, 5540, 488, 126, 1260, 488, 125, 123, 123, 132, 1257, 1222, 1815, 9728, 1257, 1209, 193, 18100, 488, 125, 123, 124, 124, 1257, 3859, 9253, 13605, 1257, 14787, 6472, 488, 125, 123, 124, 125, 1257, 15663, 18887, 1135, 1233, 1402, 1147, 1192, 5579, 488, 125, 126, 1257, 4603, 23194, 488, 125, 123, 124, 125, 1257, 31503, 20445, 9580, 172, 1257, 3991, 3176, 1306, 2314, 5556, 106, 488, 125, 123, 124, 126, 1257, 2482, 21903, 1257, 8670, 1108, 4379, 7537, 106, 488, 125, 123, 124, 127, 1257, 13105, 10699, 1257, 9899, 1125, 5855, 106, 488, 125, 123, 124, 128, 1257, 4873, 2092, 1257, 18687, 1761, 8471, 1109, 6868, 1652, 2523, 488, 125, 123, 124, 129, 1257, 8415, 14431, 1257, 1808, 10691, 4173, 23850, 106, 488, 125, 123, 124, 129, 1257, 7673, 3553, 8391, 7632, 1257, 1321, 1292, 5007, 1142, 2303, 1260, 488, 125, 123, 124, 132, 1257, 1814, 16495, 25875, 1364, 1257, 1204, 1575, 106, 488, 125, 123, 124, 132, 1257, 23625, 1222, 6828, 1257, 23976, 1252, 26193, 488, 125, 123, 125, 124, 1323, 2595, 1257, 1410, 11496, 1132, 6787, 1257, 10357, 2747, 1606, 10357, 1524, 9560, 9836, 13776, 15615, 1272, 19101, 1438, 9323, 1167, 5474, 5532, 1354, 16718, 1424, 2093, 3742, 9034, 13900, 8156, 1186, 2584, 488, 124, 132, 131, 124, 9449, 9034, 1125, 20761, 2058, 1257, 1653, 1134, 3464, 28630, 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, 1150, 3346, 2831, 28364, 18702, 25563, 4391, 25024, 3725, 19467, 365, 361, 6809, 16789, 365, 356, 116, 1299, 1318, 2032, 1902, 1125, 1158, 23361, 6348, 189, 1549, 2461, 1313, 1170, 1218, 1123, 1128, 1125, 488, 287, 1456, 1108, 2461, 12504, 185, 1109, 1186, 9282, 1384, 2596, 1653, 488, 125, 123, 123, 124, 1158, 2032, 1902, 6036, 1370, 488, 125, 124, 124, 11411, 20481, 1424, 17971, 1859, 1204, 1387, 1150, 3346, 181, 1965, 3031, 1189, 7130, 1125, 2631, 178, 1180, 20689, 1214, 1996, 1291, 244, 1188, 488, 124, 123, 123, 2199, 1125, 8649, 173, 1457, 1867, 488, 124, 132, 132, 123, 1188, 488, 124, 132, 132, 128, 119, 1527, 1844, 3247, 1125, 1158, 7732, 1714, 1897, 1125, 1518, 1154, 181, 3382, 6700, 158, 150, 1496, 3462, 1389, 1714, 1897, 28264, 1698, 10308, 1303, 1125, 9282, 14736, 11036, 29946, 1189, 4093, 2510, 6111, 3379, 1701, 4716, 10374, 25913, 1187, 1188, 4262, 1125, 1158, 6545, 1125, 9282, 14736, 3360, 7059, 1188, 1204, 1387, 1150, 3346, 181, 1965, 7130, 1139, 12690, 1256, 3713, 13432, 5924, 2413, 1387, 1150, 3346, 2831, 1299, 1188, 2595, 1189, 7130, 22190, 1215, 1158, 6545, 1723, 2585, 1527, 27555, 1189, 14318, 1125, 15137, 121, 1808, 7130, 1517, 1508, 2205, 10256, 4886, 1167, 1527, 4249, 1382, 10423, 1125, 1207, 8182, 1317, 6676, 1125, 1158, 2397, 189, 1712, 5275, 172, 3143, 1125, 9821, 1125, 1158, 10756, 1389, 1125, 1816, 13933, 29637, 1440, 7130, 1281, 4715, 3219, 5910, 4643, 2357, 1186, 16629, 1170, 4755, 14737, 1227, 2879, 1125, 2921, 119, 1170, 9912, 14200, 13578, 1188, 1204, 1387, 1150, 3346, 2831, 116, 2585, 1281, 23408, 1318, 3828, 12663, 12833, 16208, 1317, 1594, 1197, 1270, 1701, 4786, 10654, 1714, 6482, 29830, 21311, 1387, 1150, 3346, 2831, 1299, 4759, 244, 1215, 1158, 17451, 2397, 189, 1712, 181, 2036, 1548, 2429, 119, 20723, 1186, 22031, 3247, 1125, 11110, 2944, 11680, 27165, 1667, 1125, 2076, 1318, 7877, 7099, 1138, 3415, 1388, 5449, 1190, 1180, 30738, 2675, 2445, 3775, 1408, 1186, 11373, 1207, 5764, 1125, 9933, 1125, 1204, 1387, 1150, 3346, 2831, 1469, 1561, 17451, 4162, 2232, 3980, 3004, 181, 2336, 182, 3096, 1807, 5446, 8783, 1387, 1150, 155, 1172, 2831, 125, 5731, 9323, 1167, 20117, 20544, 11052, 1424, 28203, 1902, 1125, 9282, 14736, 106, 8649, 6482, 1125, 9282, 14736, 5532, 1237, 1902, 1186, 9282, 14736, 1489, 1237, 1902, 1125, 9282, 14736, 1188, 10597, 1714, 1897, 32001, 1424, 32000, 20036, 1720, 1387, 1150, 3346, 2831, 28364, 18702, 25563, 4391, 25024, 3725, 19467, 365, 361, 6809, 16789, 365, 356, 116, 1299, 1318, 2032, 1902, 1125, 1158, 23361, 6348, 189, 1549, 2461, 1313, 1170, 1218, 1123, 1128, 1125, 488, 287, 1456, 1108, 2461, 12504, 185, 1109, 1186, 9282, 1384, 2596, 1653, 488, 125, 123, 123, 124, 1158, 2032, 1902, 6036, 1370, 488, 125, 124, 124, 11411, 20481, 1424, 17971, 1859, 1204, 1387, 1150, 3346, 181, 1965, 3031, 1189, 7130, 1125, 2631, 178, 1180, 20689, 1214, 1996, 1291, 244, 1188, 488, 124, 123, 123, 2199, 1125, 8649, 173, 1457, 1867, 488, 124, 132, 132, 123, 1188, 488, 124, 132, 132, 128, 119, 1527, 1844, 3247, 1125, 1158, 7732, 1714, 1897, 1125, 1518, 1154, 181, 3382, 6700, 158, 150, 1496, 3462, 1389, 1714, 1897, 28264, 1698, 10308, 1303, 1125, 9282, 14736, 11036, 29946, 1189, 4093, 2510, 6111, 3379, 1701, 4716, 10374, 25913, 1187, 1188, 4262, 1125, 1158, 6545, 1125, 9282, 14736, 3360, 7059, 1188, 1204, 1387, 1150, 3346, 181, 1965, 7130, 1139, 12690, 1256, 3713, 13432, 5924, 2413, 1387, 1150, 3346, 2831, 1299, 1188, 2595, 1189, 7130, 22190, 1215, 1158, 6545, 1723, 2585, 1527, 27555, 1189, 14318, 1125, 15137, 121, 1808, 7130, 1517, 1508, 2205, 10256, 4886, 1167, 1527, 4249, 1382, 10423, 1125, 1207, 8182, 1317, 6676, 1125, 1158, 2397, 189, 1712, 5275, 172, 3143, 1125, 9821, 1125, 1158, 10756, 1389, 1125, 1816, 13933, 29637, 1440, 7130, 1281, 4715, 3219, 5910, 4643, 2357, 1186, 16629, 1170, 4755, 14737, 1227, 2879, 1125, 2921, 119, 1170, 9912, 14200, 13578, 1188, 1204, 1387, 1150, 3346, 2831, 116, 2585, 1281, 23408, 1318, 3828, 12663, 12833, 16208, 1317, 1594, 1197, 1270, 1701, 4786, 10654, 1714, 6482, 29830, 21311, 1387, 1150, 3346, 2831, 1299, 4759, 244, 1215, 1158, 17451, 2397, 189, 1712, 181, 2036, 1548, 2429, 119, 20723, 1186, 22031, 3247, 1125, 11110, 2944, 11680, 27165, 1667, 1125, 2076, 1318, 7877, 7099, 1138, 3415, 1388, 5449, 1190, 1180, 30738, 2675, 2445, 3775, 1408, 1186, 11373, 1207, 5764, 1125, 9933, 1125, 1204, 1387, 1150, 3346, 2831, 1469, 1561, 17451, 4162, 2232, 3980, 3004, 181, 2336, 182, 3096, 1807, 5446, 8783, 1387, 1150, 155, 1172, 2831, 125, 5731, 9323, 1167, 20117, 20544, 11052, 1424, 28203, 1902, 1125, 9282, 14736, 106, 8649, 6482, 1125, 9282, 14736, 5532, 1237, 1902, 1186, 9282, 14736, 1489, 1237, 1902, 1125, 9282, 14736, 1188, 10597, 1714, 1897, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1150, 3346, 2831, 28364, 18702, 25563, 4391, 25024, 3725, 19467, 365, 361, 6809, 16789, 365, 356, 116, 1299, 1318, 2032, 1902, 1125, 1158, 23361, 6348, 189, 1549, 2461, 1313, 1170, 1218, 1123, 1128, 1125, 488, 287, 1456, 1108, 2461, 12504, 185, 1109, 1186, 9282, 1384, 2596, 1653, 488, 125, 123, 123, 124, 1158, 2032, 1902, 6036, 1370, 488, 125, 124, 124, 11411, 20481, 1424, 17971, 1859, 1204, 1387, 1150, 3346, 181, 1965, 3031, 1189, 7130, 1125, 2631, 178, 1180, 20689, 1214, 1996, 1291, 244, 1188, 488, 124, 123, 123, 2199, 1125, 8649, 173, 1457, 1867, 488, 124, 132, 132, 123, 1188, 488, 124, 132, 132, 128, 119, 1527, 1844, 3247, 1125, 1158, 7732, 1714, 1897, 1125, 1518, 1154, 181, 3382, 6700, 158, 150, 1496, 3462, 1389, 1714, 1897, 28264, 1698, 10308, 1303, 1125, 9282, 14736, 11036, 29946, 1189, 4093, 2510, 6111, 3379, 1701, 4716, 10374, 25913, 1187, 1188, 4262, 1125, 1158, 6545, 1125, 9282, 14736, 3360, 7059, 1188, 1204, 1387, 1150, 3346, 181, 1965, 7130, 1139, 12690, 1256, 3713, 13432, 5924, 2413, 1387, 1150, 3346, 2831, 1299, 1188, 2595, 1189, 7130, 22190, 1215, 1158, 6545, 1723, 2585, 1527, 27555, 1189, 14318, 1125, 15137, 121, 1808, 7130, 1517, 1508, 2205, 10256, 4886, 1167, 1527, 4249, 1382, 10423, 1125, 1207, 8182, 1317, 6676, 1125, 1158, 2397, 189, 1712, 5275, 172, 3143, 1125, 9821, 1125, 1158, 10756, 1389, 1125, 1816, 13933, 29637, 1440, 7130, 1281, 4715, 3219, 5910, 4643, 2357, 1186, 16629, 1170, 4755, 14737, 1227, 2879, 1125, 2921, 119, 1170, 9912, 14200, 13578, 1188, 1204, 1387, 1150, 3346, 2831, 116, 2585, 1281, 23408, 1318, 3828, 12663, 12833, 16208, 1317, 1594, 1197, 1270, 1701, 4786, 10654, 1714, 6482, 29830, 21311, 1387, 1150, 3346, 2831, 1299, 4759, 244, 1215, 1158, 17451, 2397, 189, 1712, 181, 2036, 1548, 2429, 119, 20723, 1186, 22031, 3247, 1125, 11110, 2944, 11680, 27165, 1667, 1125, 2076, 1318, 7877, 7099, 1138, 3415, 1388, 5449, 1190, 1180, 30738, 2675, 2445, 3775, 1408, 1186, 11373, 1207, 5764, 1125, 9933, 1125, 1204, 1387, 1150, 3346, 2831, 1469, 1561, 17451, 4162, 2232, 3980, 3004, 181, 2336, 182, 3096, 1807, 5446, 8783, 1387, 1150, 155, 1172, 2831, 125, 5731, 9323, 1167, 20117, 20544, 11052, 1424, 28203, 1902, 1125, 9282, 14736, 106, 8649, 6482, 1125, 9282, 14736, 5532, 1237, 1902, 1186, 9282, 14736, 1489, 1237, 1902, 1125, 9282, 14736, 1188, 10597, 1714, 1897, 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, 1164, 4223, 1599, 1299, 1189, 1865, 5488, 1357, 18402, 1197, 5031, 1125, 3195, 1657, 1768, 12425, 1125, 29098, 1125, 10533, 1125, 2515, 177, 7847, 2086, 14765, 1197, 1408, 7945, 31377, 120, 13761, 7037, 1571, 1191, 5917, 1392, 1125, 7811, 1964, 2498, 1186, 19397, 1643, 3385, 1299, 12462, 9396, 2806, 2130, 9209, 3056, 7745, 1105, 7774, 28263, 1299, 3032, 179, 1336, 1304, 4650, 12400, 23006, 20481, 3147, 488, 125, 123, 123, 132, 119, 5941, 1165, 10236, 20817, 184, 1167, 7507, 1545, 2589, 1706, 2004, 17034, 1222, 1164, 4223, 1599, 1186, 4083, 1309, 1865, 24166, 1571, 4634, 2585, 1207, 1191, 5917, 1392, 2004, 29982, 1440, 1300, 5856, 3342, 7606, 2457, 133, 1606, 2606, 1874, 1222, 1164, 4223, 1599, 1299, 5252, 1125, 1158, 4415, 4972, 12256, 1345, 1197, 10862, 9505, 1414, 1470, 2972, 1167, 1197, 1131, 21501, 1125, 1581, 17492, 214, 1548, 3151, 1235, 4506, 1190, 109, 1175, 1515, 5715, 12128, 12904, 3948, 1227, 2498, 2335, 24059, 1186, 3285, 116, 1110, 1913, 9053, 1215, 1165, 10236, 20817, 184, 1170, 488, 132, 2921, 488, 125, 123, 123, 132, 121, 1653, 2829, 488, 125, 123, 124, 123, 119, 1527, 1110, 1913, 9365, 1721, 1469, 1125, 5443, 4634, 2924, 11828, 1197, 2463, 14159, 31070, 1962, 1197, 5305, 1197, 8490, 8303, 1309, 25753, 2287, 1304, 2897, 9064, 1207, 6406, 7592, 1346, 1207, 10624, 1197, 12012, 1167, 1951, 15824, 9224, 15740, 1167, 2894, 1199, 1496, 2004, 1913, 8986, 6002, 1222, 1164, 4223, 1599, 1110, 17034, 1189, 11426, 12863, 18198, 1197, 23849, 15805, 2648, 1197, 9011, 28656, 119, 1189, 15452, 1125, 10533, 1235, 4301, 2258, 109, 1167, 1189, 2513, 1125, 24403, 6984, 4496, 1235, 15370, 3039, 4095, 1768, 1110, 27426, 180, 1561, 14584, 10999, 1256, 1207, 23004, 1125, 1191, 5917, 1392, 1186, 3888, 16900, 11003, 1130, 13850, 214, 1496, 20018, 1186, 488, 124, 127, 125, 4020, 1130, 13850, 1222, 1164, 4223, 1599, 1313, 1170, 15153, 4511, 1158, 1622, 1125, 488, 125, 123, 124, 129, 119, 1561, 9287, 3031, 28371, 1188, 488, 126, 123, 123, 488, 123, 123, 123, 4634, 8370, 2749, 488, 125, 123, 124, 130, 119, 1222, 1164, 4223, 1599, 1110, 1913, 14946, 1215, 1198, 1109, 1762, 1318, 4446, 1125, 2819, 13850, 6014, 1167, 2397, 1480, 2502, 11659, 186, 1110, 1913, 12688, 24668, 27342, 2576, 5304, 488, 125, 123, 124, 130, 1110, 6590, 1561, 3453, 16014, 1125, 23849, 1836, 1186, 3888, 133, 1306, 1475, 8772, 119, 2757, 22008, 1188, 19788, 1175, 125, 123, 124, 130, 1496, 30300, 1175, 125, 123, 124, 131, 1496, 10221, 15486, 1175, 125, 123, 124, 131, 116, 1167, 2482, 4524, 8370, 488, 125, 123, 124, 131, 119, 1170, 1865, 1110, 22240, 1318, 15575, 4221, 2181, 1548, 1865, 1110, 2445, 4222, 244, 26438, 1700, 1187, 1561, 14584, 10999, 1469, 488, 124, 127, 127, 13656, 1313, 488, 127, 126, 14661, 1469, 1408, 1125, 488, 124, 488, 125, 123, 123, 3195, 1201, 2595, 1297, 11027, 488, 125, 123, 124, 132, 119, 10796, 12462, 1188, 6477, 1125, 10319, 1299, 17350, 1125, 488, 127, 123, 17504, 1362, 18962, 1548, 1865, 1299, 7030, 5162, 1313, 488, 124, 132, 128, 3293, 1188, 4759, 1170, 2854, 1167, 4715, 1408, 1125, 488, 127, 5743, 1125, 10428, 3219, 2879, 7745, 24542, 1467, 30490, 2956, 488, 128, 123, 123, 123, 133, 1207, 9628, 29489, 1188, 1158, 11557, 1158, 1408, 4188, 1186, 23777, 1175, 125, 123, 124, 131, 1167, 488, 125, 123, 124, 132, 1260, 7789, 3176, 10812, 3009, 16131, 1345, 1965, 10347, 27312, 1323, 12795, 1175, 125, 123, 124, 132, 8136, 4365, 10226, 10812, 3009, 6742, 10533, 15857, 3226, 7550, 119, 6742, 10533, 1405, 10818, 6742, 18837, 1175, 125, 123, 124, 132, 1260, 1428, 2956, 488, 128, 123, 123, 123, 133, 1207, 9628, 29489, 1188, 1158, 11557, 1158, 1408, 4188, 5519, 18337, 1175, 125, 123, 124, 131, 1718, 8036, 2072, 1194, 5184, 179, 1336, 1763, 5877, 5472, 19818, 9323, 1167, 5474, 5532, 1354, 16718, 11934, 1286, 2475, 5383, 2144, 17034, 1186, 488, 125, 123, 124, 123, 114, 32001, 1424, 32000, 20036, 24623, 143, 1164, 4223, 1599, 1299, 1189, 1865, 5488, 1357, 18402, 1197, 5031, 1125, 3195, 1657, 1768, 12425, 1125, 29098, 1125, 10533, 1125, 2515, 177, 7847, 2086, 14765, 1197, 1408, 7945, 31377, 120, 13761, 7037, 1571, 1191, 5917, 1392, 1125, 7811, 1964, 2498, 1186, 19397, 1643, 3385, 1299, 12462, 9396, 2806, 2130, 9209, 3056, 7745, 1105, 7774, 28263, 1299, 3032, 179, 1336, 1304, 4650, 12400, 23006, 20481, 3147, 488, 125, 123, 123, 132, 119, 5941, 1165, 10236, 20817, 184, 1167, 7507, 1545, 2589, 1706, 2004, 17034, 1222, 1164, 4223, 1599, 1186, 4083, 1309, 1865, 24166, 1571, 4634, 2585, 1207, 1191, 5917, 1392, 2004, 29982, 1440, 1300, 5856, 3342, 7606, 2457, 133, 1606, 2606, 1874, 1222, 1164, 4223, 1599, 1299, 5252, 1125, 1158, 4415, 4972, 12256, 1345, 1197, 10862, 9505, 1414, 1470, 2972, 1167, 1197, 1131, 21501, 1125, 1581, 17492, 214, 1548, 3151, 1235, 4506, 1190, 109, 1175, 1515, 5715, 12128, 12904, 3948, 1227, 2498, 2335, 24059, 1186, 3285, 116, 1110, 1913, 9053, 1215, 1165, 10236, 20817, 184, 1170, 488, 132, 2921, 488, 125, 123, 123, 132, 121, 1653, 2829, 488, 125, 123, 124, 123, 119, 1527, 1110, 1913, 9365, 1721, 1469, 1125, 5443, 4634, 2924, 11828, 1197, 2463, 14159, 31070, 1962, 1197, 5305, 1197, 8490, 8303, 1309, 25753, 2287, 1304, 2897, 9064, 1207, 6406, 7592, 1346, 1207, 10624, 1197, 12012, 1167, 1951, 15824, 9224, 15740, 1167, 2894, 1199, 1496, 2004, 1913, 8986, 6002, 1222, 1164, 4223, 1599, 1110, 17034, 1189, 11426, 12863, 18198, 1197, 23849, 15805, 2648, 1197, 9011, 28656, 119, 1189, 15452, 1125, 10533, 1235, 4301, 2258, 109, 1167, 1189, 2513, 1125, 24403, 6984, 4496, 1235, 15370, 3039, 4095, 1768, 1110, 27426, 180, 1561, 14584, 10999, 1256, 1207, 23004, 1125, 1191, 5917, 1392, 1186, 3888, 16900, 11003, 1130, 13850, 214, 1496, 20018, 1186, 488, 124, 127, 125, 4020, 1130, 13850, 1222, 1164, 4223, 1599, 1313, 1170, 15153, 4511, 1158, 1622, 1125, 488, 125, 123, 124, 129, 119, 1561, 9287, 3031, 28371, 1188, 488, 126, 123, 123, 488, 123, 123, 123, 4634, 8370, 2749, 488, 125, 123, 124, 130, 119, 1222, 1164, 4223, 1599, 1110, 1913, 14946, 1215, 1198, 1109, 1762, 1318, 4446, 1125, 2819, 13850, 6014, 1167, 2397, 1480, 2502, 11659, 186, 1110, 1913, 12688, 24668, 27342, 2576, 5304, 488, 125, 123, 124, 130, 1110, 6590, 1561, 3453, 16014, 1125, 23849, 1836, 1186, 3888, 133, 1306, 1475, 8772, 119, 2757, 22008, 1188, 19788, 1175, 125, 123, 124, 130, 1496, 30300, 1175, 125, 123, 124, 131, 1496, 10221, 15486, 1175, 125, 123, 124, 131, 116, 1167, 2482, 4524, 8370, 488, 125, 123, 124, 131, 119, 1170, 1865, 1110, 22240, 1318, 15575, 4221, 2181, 1548, 1865, 1110, 2445, 4222, 244, 26438, 1700, 1187, 1561, 14584, 10999, 1469, 488, 124, 127, 127, 13656, 1313, 488, 127, 126, 14661, 1469, 1408, 1125, 488, 124, 488, 125, 123, 123, 3195, 1201, 2595, 1297, 11027, 488, 125, 123, 124, 132, 119, 10796, 12462, 1188, 6477, 1125, 10319, 1299, 17350, 1125, 488, 127, 123, 17504, 1362, 18962, 1548, 1865, 1299, 7030, 5162, 1313, 488, 124, 132, 128, 3293, 1188, 4759, 1170, 2854, 1167, 4715, 1408, 1125, 488, 127, 5743, 1125, 10428, 3219, 2879, 7745, 24542, 1467, 30490, 2956, 488, 128, 123, 123, 123, 133, 1207, 9628, 29489, 1188, 1158, 11557, 1158, 1408, 4188, 1186, 23777, 1175, 125, 123, 124, 131, 1167, 488, 125, 123, 124, 132, 1260, 7789, 3176, 10812, 3009, 16131, 1345, 1965, 10347, 27312, 1323, 12795, 1175, 125, 123, 124, 132, 8136, 4365, 10226, 10812, 3009, 6742, 10533, 15857, 3226, 7550, 119, 6742, 10533, 1405, 10818, 6742, 18837, 1175, 125, 123, 124, 132, 1260, 1428, 2956, 488, 128, 123, 123, 123, 133, 1207, 9628, 29489, 1188, 1158, 11557, 1158, 1408, 4188, 5519, 18337, 1175, 125, 123, 124, 131, 1718, 8036, 2072, 1194, 5184, 179, 1336, 1763, 5877, 5472, 19818, 9323, 1167, 5474, 5532, 1354, 16718, 11934, 1286, 2475, 5383, 2144, 17034, 1186, 488, 125, 123, 124, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1164, 4223, 1599, 1299, 1189, 1865, 5488, 1357, 18402, 1197, 5031, 1125, 3195, 1657, 1768, 12425, 1125, 29098, 1125, 10533, 1125, 2515, 177, 7847, 2086, 14765, 1197, 1408, 7945, 31377, 120, 13761, 7037, 1571, 1191, 5917, 1392, 1125, 7811, 1964, 2498, 1186, 19397, 1643, 3385, 1299, 12462, 9396, 2806, 2130, 9209, 3056, 7745, 1105, 7774, 28263, 1299, 3032, 179, 1336, 1304, 4650, 12400, 23006, 20481, 3147, 488, 125, 123, 123, 132, 119, 5941, 1165, 10236, 20817, 184, 1167, 7507, 1545, 2589, 1706, 2004, 17034, 1222, 1164, 4223, 1599, 1186, 4083, 1309, 1865, 24166, 1571, 4634, 2585, 1207, 1191, 5917, 1392, 2004, 29982, 1440, 1300, 5856, 3342, 7606, 2457, 133, 1606, 2606, 1874, 1222, 1164, 4223, 1599, 1299, 5252, 1125, 1158, 4415, 4972, 12256, 1345, 1197, 10862, 9505, 1414, 1470, 2972, 1167, 1197, 1131, 21501, 1125, 1581, 17492, 214, 1548, 3151, 1235, 4506, 1190, 109, 1175, 1515, 5715, 12128, 12904, 3948, 1227, 2498, 2335, 24059, 1186, 3285, 116, 1110, 1913, 9053, 1215, 1165, 10236, 20817, 184, 1170, 488, 132, 2921, 488, 125, 123, 123, 132, 121, 1653, 2829, 488, 125, 123, 124, 123, 119, 1527, 1110, 1913, 9365, 1721, 1469, 1125, 5443, 4634, 2924, 11828, 1197, 2463, 14159, 31070, 1962, 1197, 5305, 1197, 8490, 8303, 1309, 25753, 2287, 1304, 2897, 9064, 1207, 6406, 7592, 1346, 1207, 10624, 1197, 12012, 1167, 1951, 15824, 9224, 15740, 1167, 2894, 1199, 1496, 2004, 1913, 8986, 6002, 1222, 1164, 4223, 1599, 1110, 17034, 1189, 11426, 12863, 18198, 1197, 23849, 15805, 2648, 1197, 9011, 28656, 119, 1189, 15452, 1125, 10533, 1235, 4301, 2258, 109, 1167, 1189, 2513, 1125, 24403, 6984, 4496, 1235, 15370, 3039, 4095, 1768, 1110, 27426, 180, 1561, 14584, 10999, 1256, 1207, 23004, 1125, 1191, 5917, 1392, 1186, 3888, 16900, 11003, 1130, 13850, 214, 1496, 20018, 1186, 488, 124, 127, 125, 4020, 1130, 13850, 1222, 1164, 4223, 1599, 1313, 1170, 15153, 4511, 1158, 1622, 1125, 488, 125, 123, 124, 129, 119, 1561, 9287, 3031, 28371, 1188, 488, 126, 123, 123, 488, 123, 123, 123, 4634, 8370, 2749, 488, 125, 123, 124, 130, 119, 1222, 1164, 4223, 1599, 1110, 1913, 14946, 1215, 1198, 1109, 1762, 1318, 4446, 1125, 2819, 13850, 6014, 1167, 2397, 1480, 2502, 11659, 186, 1110, 1913, 12688, 24668, 27342, 2576, 5304, 488, 125, 123, 124, 130, 1110, 6590, 1561, 3453, 16014, 1125, 23849, 1836, 1186, 3888, 133, 1306, 1475, 8772, 119, 2757, 22008, 1188, 19788, 1175, 125, 123, 124, 130, 1496, 30300, 1175, 125, 123, 124, 131, 1496, 10221, 15486, 1175, 125, 123, 124, 131, 116, 1167, 2482, 4524, 8370, 488, 125, 123, 124, 131, 119, 1170, 1865, 1110, 22240, 1318, 15575, 4221, 2181, 1548, 1865, 1110, 2445, 4222, 244, 26438, 1700, 1187, 1561, 14584, 10999, 1469, 488, 124, 127, 127, 13656, 1313, 488, 127, 126, 14661, 1469, 1408, 1125, 488, 124, 488, 125, 123, 123, 3195, 1201, 2595, 1297, 11027, 488, 125, 123, 124, 132, 119, 10796, 12462, 1188, 6477, 1125, 10319, 1299, 17350, 1125, 488, 127, 123, 17504, 1362, 18962, 1548, 1865, 1299, 7030, 5162, 1313, 488, 124, 132, 128, 3293, 1188, 4759, 1170, 2854, 1167, 4715, 1408, 1125, 488, 127, 5743, 1125, 10428, 3219, 2879, 7745, 24542, 1467, 30490, 2956, 488, 128, 123, 123, 123, 133, 1207, 9628, 29489, 1188, 1158, 11557, 1158, 1408, 4188, 1186, 23777, 1175, 125, 123, 124, 131, 1167, 488, 125, 123, 124, 132, 1260, 7789, 3176, 10812, 3009, 16131, 1345, 1965, 10347, 27312, 1323, 12795, 1175, 125, 123, 124, 132, 8136, 4365, 10226, 10812, 3009, 6742, 10533, 15857, 3226, 7550, 119, 6742, 10533, 1405, 10818, 6742, 18837, 1175, 125, 123, 124, 132, 1260, 1428, 2956, 488, 128, 123, 123, 123, 133, 1207, 9628, 29489, 1188, 1158, 11557, 1158, 1408, 4188, 5519, 18337, 1175, 125, 123, 124, 131, 1718, 8036, 2072, 1194, 5184, 179, 1336, 1763, 5877, 5472, 19818, 9323, 1167, 5474, 5532, 1354, 16718, 11934, 1286, 2475, 5383, 2144, 17034, 1186, 488, 125, 123, 124, 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, 114, 141, 1626, 1210, 7216, 15393, 1257, 23498, 22466, 378, 375, 116, 1299, 1318, 3837, 1125, 1282, 1383, 9171, 14609, 1203, 2323, 1651, 5005, 119, 1186, 8903, 2620, 1167, 1170, 4779, 12198, 1227, 1501, 250, 1105, 1125, 1233, 1626, 1210, 121, 6280, 5740, 2368, 244, 2995, 1370, 1188, 488, 488, 124, 125, 488, 123, 123, 123, 11411, 1186, 488, 125, 123, 125, 124, 29830, 1424, 141, 1626, 1210, 1299, 1400, 3740, 1303, 1215, 1158, 17451, 1233, 1626, 16080, 1313, 1170, 20295, 1125, 1158, 7584, 6110, 1167, 1281, 5209, 1188, 488, 488, 127, 128, 19185, 1317, 18762, 13469, 14609, 1203, 2323, 1651, 5005, 20481, 12616, 3837, 1125, 1233, 1626, 1210, 1299, 14232, 1125, 1158, 14853, 119, 1186, 488, 124, 132, 128, 127, 119, 1197, 8742, 7697, 2915, 1125, 1233, 1626, 1210, 1167, 1125, 1293, 1157, 25875, 30895, 1357, 6036, 2457, 25472, 488, 128, 488, 123, 123, 123, 1167, 488, 126, 488, 123, 123, 123, 4393, 5996, 1233, 1626, 1210, 3618, 1913, 15974, 1313, 1158, 9640, 13624, 1227, 11402, 3463, 176, 6298, 8732, 1273, 3111, 12616, 4356, 3175, 11565, 1125, 1233, 1626, 1210, 8135, 15927, 1275, 1389, 10334, 1303, 1188, 3862, 1125, 488, 124, 132, 132, 123, 121, 1653, 488, 125, 123, 123, 124, 119, 1170, 28594, 6322, 8141, 1370, 1189, 23898, 17983, 2968, 9817, 1125, 1408, 1125, 488, 124, 124, 119, 125, 1256, 1127, 9992, 1469, 1189, 5777, 1125, 23082, 1902, 8105, 11231, 1175, 130, 119, 124, 1256, 16712, 116, 1167, 1189, 5777, 1125, 4541, 1902, 2205, 15740, 1175, 124, 131, 119, 126, 1256, 16712, 4023, 6090, 1811, 1525, 1175, 14204, 1362, 5915, 1430, 1125, 1158, 5740, 8623, 224, 15051, 1424, 141, 1626, 1210, 11358, 1197, 4382, 9310, 1520, 1287, 5899, 1282, 20423, 6214, 1118, 182, 3521, 1175, 339, 356, 20799, 361, 7506, 367, 1496, 1197, 5221, 1125, 12373, 1125, 4971, 1167, 1125, 3519, 21074, 8732, 1128, 9330, 1424, 141, 1626, 1210, 1110, 5416, 244, 22938, 1125, 1158, 2168, 1109, 1348, 1175, 124, 130, 128, 127, 116, 1357, 1299, 2757, 488, 124, 132, 132, 124, 1158, 10538, 28808, 28565, 1234, 2100, 1125, 5753, 1436, 1210, 1214, 1125, 1233, 1626, 1210, 121, 3762, 1207, 3997, 1285, 1300, 1170, 3285, 8595, 1125, 1158, 17451, 4732, 5363, 172, 1173, 6221, 196, 1193, 1810, 1281, 5209, 1170, 4742, 5519, 182, 13889, 1212, 182, 2433, 2585, 14333, 1129, 1197, 1113, 6796, 1197, 1181, 5173, 4277, 1197, 13792, 1554, 8642, 1153, 1167, 1197, 8686, 243, 23069, 11488, 1167, 16828, 5825, 1424, 488, 28207, 1300, 1233, 1626, 1210, 106, 488, 1165, 16679, 3263, 20678, 13776, 1289, 2159, 9533, 16512, 1317, 11402, 3463, 176, 6298, 114, 32001, 1424, 32000, 20036, 24623, 141, 1626, 1210, 7216, 15393, 1257, 23498, 22466, 378, 375, 116, 1299, 1318, 3837, 1125, 1282, 1383, 9171, 14609, 1203, 2323, 1651, 5005, 119, 1186, 8903, 2620, 1167, 1170, 4779, 12198, 1227, 1501, 250, 1105, 1125, 1233, 1626, 1210, 121, 6280, 5740, 2368, 244, 2995, 1370, 1188, 488, 488, 124, 125, 488, 123, 123, 123, 11411, 1186, 488, 125, 123, 125, 124, 29830, 1424, 141, 1626, 1210, 1299, 1400, 3740, 1303, 1215, 1158, 17451, 1233, 1626, 16080, 1313, 1170, 20295, 1125, 1158, 7584, 6110, 1167, 1281, 5209, 1188, 488, 488, 127, 128, 19185, 1317, 18762, 13469, 14609, 1203, 2323, 1651, 5005, 20481, 12616, 3837, 1125, 1233, 1626, 1210, 1299, 14232, 1125, 1158, 14853, 119, 1186, 488, 124, 132, 128, 127, 119, 1197, 8742, 7697, 2915, 1125, 1233, 1626, 1210, 1167, 1125, 1293, 1157, 25875, 30895, 1357, 6036, 2457, 25472, 488, 128, 488, 123, 123, 123, 1167, 488, 126, 488, 123, 123, 123, 4393, 5996, 1233, 1626, 1210, 3618, 1913, 15974, 1313, 1158, 9640, 13624, 1227, 11402, 3463, 176, 6298, 8732, 1273, 3111, 12616, 4356, 3175, 11565, 1125, 1233, 1626, 1210, 8135, 15927, 1275, 1389, 10334, 1303, 1188, 3862, 1125, 488, 124, 132, 132, 123, 121, 1653, 488, 125, 123, 123, 124, 119, 1170, 28594, 6322, 8141, 1370, 1189, 23898, 17983, 2968, 9817, 1125, 1408, 1125, 488, 124, 124, 119, 125, 1256, 1127, 9992, 1469, 1189, 5777, 1125, 23082, 1902, 8105, 11231, 1175, 130, 119, 124, 1256, 16712, 116, 1167, 1189, 5777, 1125, 4541, 1902, 2205, 15740, 1175, 124, 131, 119, 126, 1256, 16712, 4023, 6090, 1811, 1525, 1175, 14204, 1362, 5915, 1430, 1125, 1158, 5740, 8623, 224, 15051, 1424, 141, 1626, 1210, 11358, 1197, 4382, 9310, 1520, 1287, 5899, 1282, 20423, 6214, 1118, 182, 3521, 1175, 339, 356, 20799, 361, 7506, 367, 1496, 1197, 5221, 1125, 12373, 1125, 4971, 1167, 1125, 3519, 21074, 8732, 1128, 9330, 1424, 141, 1626, 1210, 1110, 5416, 244, 22938, 1125, 1158, 2168, 1109, 1348, 1175, 124, 130, 128, 127, 116, 1357, 1299, 2757, 488, 124, 132, 132, 124, 1158, 10538, 28808, 28565, 1234, 2100, 1125, 5753, 1436, 1210, 1214, 1125, 1233, 1626, 1210, 121, 3762, 1207, 3997, 1285, 1300, 1170, 3285, 8595, 1125, 1158, 17451, 4732, 5363, 172, 1173, 6221, 196, 1193, 1810, 1281, 5209, 1170, 4742, 5519, 182, 13889, 1212, 182, 2433, 2585, 14333, 1129, 1197, 1113, 6796, 1197, 1181, 5173, 4277, 1197, 13792, 1554, 8642, 1153, 1167, 1197, 8686, 243, 23069, 11488, 1167, 16828, 5825, 1424, 488, 28207, 1300, 1233, 1626, 1210, 106, 488, 1165, 16679, 3263, 20678, 13776, 1289, 2159, 9533, 16512, 1317, 11402, 3463, 176, 6298, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 141, 1626, 1210, 7216, 15393, 1257, 23498, 22466, 378, 375, 116, 1299, 1318, 3837, 1125, 1282, 1383, 9171, 14609, 1203, 2323, 1651, 5005, 119, 1186, 8903, 2620, 1167, 1170, 4779, 12198, 1227, 1501, 250, 1105, 1125, 1233, 1626, 1210, 121, 6280, 5740, 2368, 244, 2995, 1370, 1188, 488, 488, 124, 125, 488, 123, 123, 123, 11411, 1186, 488, 125, 123, 125, 124, 29830, 1424, 141, 1626, 1210, 1299, 1400, 3740, 1303, 1215, 1158, 17451, 1233, 1626, 16080, 1313, 1170, 20295, 1125, 1158, 7584, 6110, 1167, 1281, 5209, 1188, 488, 488, 127, 128, 19185, 1317, 18762, 13469, 14609, 1203, 2323, 1651, 5005, 20481, 12616, 3837, 1125, 1233, 1626, 1210, 1299, 14232, 1125, 1158, 14853, 119, 1186, 488, 124, 132, 128, 127, 119, 1197, 8742, 7697, 2915, 1125, 1233, 1626, 1210, 1167, 1125, 1293, 1157, 25875, 30895, 1357, 6036, 2457, 25472, 488, 128, 488, 123, 123, 123, 1167, 488, 126, 488, 123, 123, 123, 4393, 5996, 1233, 1626, 1210, 3618, 1913, 15974, 1313, 1158, 9640, 13624, 1227, 11402, 3463, 176, 6298, 8732, 1273, 3111, 12616, 4356, 3175, 11565, 1125, 1233, 1626, 1210, 8135, 15927, 1275, 1389, 10334, 1303, 1188, 3862, 1125, 488, 124, 132, 132, 123, 121, 1653, 488, 125, 123, 123, 124, 119, 1170, 28594, 6322, 8141, 1370, 1189, 23898, 17983, 2968, 9817, 1125, 1408, 1125, 488, 124, 124, 119, 125, 1256, 1127, 9992, 1469, 1189, 5777, 1125, 23082, 1902, 8105, 11231, 1175, 130, 119, 124, 1256, 16712, 116, 1167, 1189, 5777, 1125, 4541, 1902, 2205, 15740, 1175, 124, 131, 119, 126, 1256, 16712, 4023, 6090, 1811, 1525, 1175, 14204, 1362, 5915, 1430, 1125, 1158, 5740, 8623, 224, 15051, 1424, 141, 1626, 1210, 11358, 1197, 4382, 9310, 1520, 1287, 5899, 1282, 20423, 6214, 1118, 182, 3521, 1175, 339, 356, 20799, 361, 7506, 367, 1496, 1197, 5221, 1125, 12373, 1125, 4971, 1167, 1125, 3519, 21074, 8732, 1128, 9330, 1424, 141, 1626, 1210, 1110, 5416, 244, 22938, 1125, 1158, 2168, 1109, 1348, 1175, 124, 130, 128, 127, 116, 1357, 1299, 2757, 488, 124, 132, 132, 124, 1158, 10538, 28808, 28565, 1234, 2100, 1125, 5753, 1436, 1210, 1214, 1125, 1233, 1626, 1210, 121, 3762, 1207, 3997, 1285, 1300, 1170, 3285, 8595, 1125, 1158, 17451, 4732, 5363, 172, 1173, 6221, 196, 1193, 1810, 1281, 5209, 1170, 4742, 5519, 182, 13889, 1212, 182, 2433, 2585, 14333, 1129, 1197, 1113, 6796, 1197, 1181, 5173, 4277, 1197, 13792, 1554, 8642, 1153, 1167, 1197, 8686, 243, 23069, 11488, 1167, 16828, 5825, 1424, 488, 28207, 1300, 1233, 1626, 1210, 106, 488, 1165, 16679, 3263, 20678, 13776, 1289, 2159, 9533, 16512, 1317, 11402, 3463, 176, 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, 13543, 24079, 1173, 1662, 7194, 176, 2601, 16330, 10217, 1289, 2012, 5877, 13096, 9630, 1362, 2397, 1121, 197, 1173, 29223, 14232, 1188, 15989, 9536, 1170, 488, 125, 126, 2738, 488, 124, 132, 125, 126, 1167, 31591, 1313, 1158, 2076, 3837, 1170, 488, 132, 2798, 488, 125, 123, 124, 125, 119, 1299, 1318, 15644, 2100, 1167, 29685, 16877, 1244, 14231, 1194, 3562, 10023, 1125, 16855, 1173, 1662, 1299, 5964, 1167, 1594, 9159, 1299, 16877, 5519, 196, 1613, 2461, 119, 1186, 7311, 1134, 4654, 3450, 1110, 2511, 180, 1186, 2855, 23979, 2585, 2399, 1110, 18279, 244, 19543, 21701, 1167, 22055, 1388, 282, 19760, 15948, 7364, 5825, 23435, 31958, 1262, 16877, 1227, 23841, 6298, 25790, 16877, 1125, 14580, 1304, 29634, 1167, 1125, 12614, 32001, 1424, 32000, 20036, 2911, 176, 24079, 1173, 1662, 7194, 176, 2601, 16330, 10217, 1289, 2012, 5877, 13096, 9630, 1362, 2397, 1121, 197, 1173, 29223, 14232, 1188, 15989, 9536, 1170, 488, 125, 126, 2738, 488, 124, 132, 125, 126, 1167, 31591, 1313, 1158, 2076, 3837, 1170, 488, 132, 2798, 488, 125, 123, 124, 125, 119, 1299, 1318, 15644, 2100, 1167, 29685, 16877, 1244, 14231, 1194, 3562, 10023, 1125, 16855, 1173, 1662, 1299, 5964, 1167, 1594, 9159, 1299, 16877, 5519, 196, 1613, 2461, 119, 1186, 7311, 1134, 4654, 3450, 1110, 2511, 180, 1186, 2855, 23979, 2585, 2399, 1110, 18279, 244, 19543, 21701, 1167, 22055, 1388, 282, 19760, 15948, 7364, 5825, 23435, 31958, 1262, 16877, 1227, 23841, 6298, 25790, 16877, 1125, 14580, 1304, 29634, 1167, 1125, 12614, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 176, 24079, 1173, 1662, 7194, 176, 2601, 16330, 10217, 1289, 2012, 5877, 13096, 9630, 1362, 2397, 1121, 197, 1173, 29223, 14232, 1188, 15989, 9536, 1170, 488, 125, 126, 2738, 488, 124, 132, 125, 126, 1167, 31591, 1313, 1158, 2076, 3837, 1170, 488, 132, 2798, 488, 125, 123, 124, 125, 119, 1299, 1318, 15644, 2100, 1167, 29685, 16877, 1244, 14231, 1194, 3562, 10023, 1125, 16855, 1173, 1662, 1299, 5964, 1167, 1594, 9159, 1299, 16877, 5519, 196, 1613, 2461, 119, 1186, 7311, 1134, 4654, 3450, 1110, 2511, 180, 1186, 2855, 23979, 2585, 2399, 1110, 18279, 244, 19543, 21701, 1167, 22055, 1388, 282, 19760, 15948, 7364, 5825, 23435, 31958, 1262, 16877, 1227, 23841, 6298, 25790, 16877, 1125, 14580, 1304, 29634, 1167, 1125, 12614, 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, 22745, 2964, 5807, 161, 1146, 1124, 1867, 161, 5243, 1175, 125, 125, 2738, 488, 124, 132, 123, 127, 1188, 1306, 4648, 1105, 4698, 1507, 15108, 116, 1323, 488, 130, 2829, 488, 124, 132, 131, 132, 116, 1299, 1318, 20896, 5578, 4236, 10964, 5263, 8012, 11876, 1125, 9337, 1167, 6562, 1109, 1774, 121, 3450, 1110, 1913, 2205, 6264, 1849, 1313, 5753, 1974, 1167, 1158, 8119, 1125, 2069, 9337, 1125, 9189, 31797, 1257, 10608, 1149, 1135, 8080, 1161, 9197, 7212, 1149, 1125, 4389, 1575, 11209, 1167, 5753, 1974, 13900, 1125, 18143, 13971, 1125, 6577, 2486, 1262, 14898, 20047, 6480, 14231, 22745, 2964, 1867, 161, 5243, 1299, 14232, 1188, 1306, 4648, 2114, 1313, 1170, 6174, 1205, 3100, 1170, 488, 125, 125, 2738, 488, 124, 132, 123, 127, 121, 3450, 8833, 1849, 15714, 5584, 14654, 1608, 7041, 1188, 1158, 1622, 1125, 1561, 3453, 13407, 1186, 488, 124, 132, 125, 126, 119, 2399, 16722, 4428, 7569, 1354, 8403, 13949, 1867, 161, 1190, 2086, 1357, 3618, 1913, 1594, 13787, 1304, 13398, 21194, 1808, 1867, 161, 5243, 16480, 1188, 7524, 1220, 2333, 3672, 5999, 5305, 2648, 3175, 1538, 9062, 1188, 13793, 27670, 1313, 1170, 24725, 1706, 1285, 2585, 13949, 19353, 1282, 23715, 1188, 15714, 30211, 22571, 488, 124, 132, 126, 129, 121, 3767, 3285, 1125, 2008, 9881, 15223, 1867, 161, 5243, 1844, 1158, 8191, 1125, 6344, 12557, 21695, 12891, 4505, 1323, 1197, 11406, 15913, 1125, 13949, 1323, 2487, 6927, 1252, 1150, 1243, 1167, 1200, 1651, 1488, 7690, 1484, 2114, 8328, 7993, 1974, 121, 1808, 1867, 161, 5243, 2004, 21571, 1188, 26734, 3672, 1158, 22031, 3247, 1125, 1964, 2492, 1167, 2004, 4795, 2069, 1962, 1285, 24664, 1105, 4880, 1249, 1186, 488, 125, 123, 123, 132, 1496, 29542, 1675, 13619, 1167, 1918, 5544, 18041, 10558, 1125, 1158, 7585, 1167, 31891, 1357, 1110, 4208, 8694, 1188, 15714, 1198, 3299, 1634, 8370, 1408, 9033, 1318, 6562, 1109, 1774, 10439, 1214, 1167, 1318, 11876, 1125, 2350, 6712, 20332, 1867, 161, 5243, 1110, 20780, 3672, 1125, 6344, 4092, 1856, 14698, 1125, 8870, 4748, 2368, 9848, 1199, 1125, 1561, 28742, 1167, 1338, 2964, 1199, 1909, 5617, 1297, 1653, 488, 124, 132, 128, 125, 119, 1867, 161, 5243, 1110, 8217, 1318, 8710, 1125, 4389, 1575, 11209, 119, 1357, 7184, 1370, 3042, 1188, 6721, 1338, 1193, 4658, 1188, 14765, 1197, 31518, 8290, 2097, 1125, 13949, 1300, 1207, 2077, 27582, 1125, 6562, 4994, 1643, 5401, 1125, 1867, 161, 5243, 1188, 1816, 8710, 1299, 1188, 21839, 1125, 1158, 28742, 1167, 1125, 13680, 10190, 1125, 2797, 1318, 2492, 1835, 1207, 2069, 2820, 14385, 1867, 161, 5243, 1167, 11209, 1288, 1281, 12194, 1258, 1186, 3888, 8688, 488, 124, 132, 128, 127, 119, 1723, 1317, 3285, 1125, 2008, 2069, 9881, 15223, 5138, 6143, 3711, 1258, 3997, 488, 124, 125, 123, 2866, 15354, 1357, 4616, 12048, 1417, 1142, 1473, 1313, 1189, 29920, 3187, 2068, 2850, 1285, 4389, 1575, 1175, 125, 123, 124, 123, 4023, 2524, 161, 5243, 1110, 1913, 6113, 1197, 7790, 20236, 1167, 8325, 14814, 1227, 12905, 5509, 1125, 9189, 1125, 11209, 119, 10608, 1149, 1135, 8080, 1161, 9197, 7212, 2064, 1167, 1909, 4445, 20896, 5700, 1104, 2004, 1110, 2991, 11209, 1167, 1909, 15098, 1334, 3051, 7422, 1567, 5763, 1276, 1172, 1126, 1167, 7087, 1438, 28807, 1188, 30148, 1189, 5234, 1469, 1306, 4648, 1105, 1204, 1633, 5386, 1186, 488, 124, 132, 128, 127, 121, 13040, 1158, 4685, 7993, 1974, 28768, 1567, 1170, 29920, 1867, 161, 5243, 22500, 1188, 1561, 8119, 1215, 27583, 7747, 11453, 1273, 177, 7552, 2136, 1158, 4541, 1994, 1286, 1125, 13949, 1867, 161, 5243, 1186, 488, 124, 132, 128, 128, 119, 20332, 1867, 161, 5243, 9900, 1856, 19619, 1632, 1167, 20896, 5578, 1125, 9337, 1125, 9189, 1256, 11453, 1273, 177, 1125, 488, 124, 132, 128, 129, 1188, 488, 124, 132, 128, 131, 121, 3450, 7354, 6349, 14698, 1125, 1158, 21200, 1488, 6842, 1188, 30211, 1125, 488, 124, 132, 128, 131, 1188, 488, 124, 132, 129, 126, 1167, 9900, 1317, 8899, 1197, 1106, 30657, 1227, 8227, 1395, 1633, 176, 9168, 7328, 1561, 11521, 1186, 488, 124, 132, 129, 132, 121, 19321, 1816, 4927, 119, 2399, 1110, 2445, 4222, 244, 1188, 27446, 1167, 1188, 6084, 1197, 29112, 190, 1256, 1306, 4648, 1105, 1204, 1633, 5386, 31265, 161, 5243, 19859, 2335, 10346, 1227, 1113, 1452, 1568, 1141, 1186, 488, 124, 132, 131, 132, 11488, 1167, 5474, 25194, 17935, 17994, 1424, 488, 16158, 1346, 6174, 172, 3561, 8878, 1246, 13971, 133, 3758, 1342, 1500, 1171, 6120, 3194, 1161, 29484, 1306, 7183, 1782, 1285, 6832, 1977, 7940, 1285, 488, 124, 132, 132, 125, 1155, 1424, 488, 1863, 1379, 2114, 10170, 3100, 2885, 3145, 3187, 2068, 2850, 1285, 4389, 1575, 133, 1135, 9858, 1161, 4389, 1575, 11209, 1171, 20332, 1867, 161, 5243, 133, 29245, 5467, 10505, 1171, 1135, 5096, 1161, 1110, 9702, 187, 1214, 7467, 15292, 2114, 1306, 4648, 1105, 1204, 1633, 5386, 1306, 4691, 1157, 3378, 488, 125, 123, 124, 123, 1388, 10026, 11052, 1424, 30407, 5964, 7364, 5825, 25158, 1660, 1109, 1374, 8403, 8156, 1186, 2738, 488, 124, 132, 123, 127, 9317, 1186, 2829, 488, 124, 132, 131, 132, 9317, 1188, 488, 131, 127, 2165, 32001, 1424, 32000, 20036, 21188, 5807, 161, 1146, 1124, 1867, 161, 5243, 1175, 125, 125, 2738, 488, 124, 132, 123, 127, 1188, 1306, 4648, 1105, 4698, 1507, 15108, 116, 1323, 488, 130, 2829, 488, 124, 132, 131, 132, 116, 1299, 1318, 20896, 5578, 4236, 10964, 5263, 8012, 11876, 1125, 9337, 1167, 6562, 1109, 1774, 121, 3450, 1110, 1913, 2205, 6264, 1849, 1313, 5753, 1974, 1167, 1158, 8119, 1125, 2069, 9337, 1125, 9189, 31797, 1257, 10608, 1149, 1135, 8080, 1161, 9197, 7212, 1149, 1125, 4389, 1575, 11209, 1167, 5753, 1974, 13900, 1125, 18143, 13971, 1125, 6577, 2486, 1262, 14898, 20047, 6480, 14231, 22745, 2964, 1867, 161, 5243, 1299, 14232, 1188, 1306, 4648, 2114, 1313, 1170, 6174, 1205, 3100, 1170, 488, 125, 125, 2738, 488, 124, 132, 123, 127, 121, 3450, 8833, 1849, 15714, 5584, 14654, 1608, 7041, 1188, 1158, 1622, 1125, 1561, 3453, 13407, 1186, 488, 124, 132, 125, 126, 119, 2399, 16722, 4428, 7569, 1354, 8403, 13949, 1867, 161, 1190, 2086, 1357, 3618, 1913, 1594, 13787, 1304, 13398, 21194, 1808, 1867, 161, 5243, 16480, 1188, 7524, 1220, 2333, 3672, 5999, 5305, 2648, 3175, 1538, 9062, 1188, 13793, 27670, 1313, 1170, 24725, 1706, 1285, 2585, 13949, 19353, 1282, 23715, 1188, 15714, 30211, 22571, 488, 124, 132, 126, 129, 121, 3767, 3285, 1125, 2008, 9881, 15223, 1867, 161, 5243, 1844, 1158, 8191, 1125, 6344, 12557, 21695, 12891, 4505, 1323, 1197, 11406, 15913, 1125, 13949, 1323, 2487, 6927, 1252, 1150, 1243, 1167, 1200, 1651, 1488, 7690, 1484, 2114, 8328, 7993, 1974, 121, 1808, 1867, 161, 5243, 2004, 21571, 1188, 26734, 3672, 1158, 22031, 3247, 1125, 1964, 2492, 1167, 2004, 4795, 2069, 1962, 1285, 24664, 1105, 4880, 1249, 1186, 488, 125, 123, 123, 132, 1496, 29542, 1675, 13619, 1167, 1918, 5544, 18041, 10558, 1125, 1158, 7585, 1167, 31891, 1357, 1110, 4208, 8694, 1188, 15714, 1198, 3299, 1634, 8370, 1408, 9033, 1318, 6562, 1109, 1774, 10439, 1214, 1167, 1318, 11876, 1125, 2350, 6712, 20332, 1867, 161, 5243, 1110, 20780, 3672, 1125, 6344, 4092, 1856, 14698, 1125, 8870, 4748, 2368, 9848, 1199, 1125, 1561, 28742, 1167, 1338, 2964, 1199, 1909, 5617, 1297, 1653, 488, 124, 132, 128, 125, 119, 1867, 161, 5243, 1110, 8217, 1318, 8710, 1125, 4389, 1575, 11209, 119, 1357, 7184, 1370, 3042, 1188, 6721, 1338, 1193, 4658, 1188, 14765, 1197, 31518, 8290, 2097, 1125, 13949, 1300, 1207, 2077, 27582, 1125, 6562, 4994, 1643, 5401, 1125, 1867, 161, 5243, 1188, 1816, 8710, 1299, 1188, 21839, 1125, 1158, 28742, 1167, 1125, 13680, 10190, 1125, 2797, 1318, 2492, 1835, 1207, 2069, 2820, 14385, 1867, 161, 5243, 1167, 11209, 1288, 1281, 12194, 1258, 1186, 3888, 8688, 488, 124, 132, 128, 127, 119, 1723, 1317, 3285, 1125, 2008, 2069, 9881, 15223, 5138, 6143, 3711, 1258, 3997, 488, 124, 125, 123, 2866, 15354, 1357, 4616, 12048, 1417, 1142, 1473, 1313, 1189, 29920, 3187, 2068, 2850, 1285, 4389, 1575, 1175, 125, 123, 124, 123, 4023, 2524, 161, 5243, 1110, 1913, 6113, 1197, 7790, 20236, 1167, 8325, 14814, 1227, 12905, 5509, 1125, 9189, 1125, 11209, 119, 10608, 1149, 1135, 8080, 1161, 9197, 7212, 2064, 1167, 1909, 4445, 20896, 5700, 1104, 2004, 1110, 2991, 11209, 1167, 1909, 15098, 1334, 3051, 7422, 1567, 5763, 1276, 1172, 1126, 1167, 7087, 1438, 28807, 1188, 30148, 1189, 5234, 1469, 1306, 4648, 1105, 1204, 1633, 5386, 1186, 488, 124, 132, 128, 127, 121, 13040, 1158, 4685, 7993, 1974, 28768, 1567, 1170, 29920, 1867, 161, 5243, 22500, 1188, 1561, 8119, 1215, 27583, 7747, 11453, 1273, 177, 7552, 2136, 1158, 4541, 1994, 1286, 1125, 13949, 1867, 161, 5243, 1186, 488, 124, 132, 128, 128, 119, 20332, 1867, 161, 5243, 9900, 1856, 19619, 1632, 1167, 20896, 5578, 1125, 9337, 1125, 9189, 1256, 11453, 1273, 177, 1125, 488, 124, 132, 128, 129, 1188, 488, 124, 132, 128, 131, 121, 3450, 7354, 6349, 14698, 1125, 1158, 21200, 1488, 6842, 1188, 30211, 1125, 488, 124, 132, 128, 131, 1188, 488, 124, 132, 129, 126, 1167, 9900, 1317, 8899, 1197, 1106, 30657, 1227, 8227, 1395, 1633, 176, 9168, 7328, 1561, 11521, 1186, 488, 124, 132, 129, 132, 121, 19321, 1816, 4927, 119, 2399, 1110, 2445, 4222, 244, 1188, 27446, 1167, 1188, 6084, 1197, 29112, 190, 1256, 1306, 4648, 1105, 1204, 1633, 5386, 31265, 161, 5243, 19859, 2335, 10346, 1227, 1113, 1452, 1568, 1141, 1186, 488, 124, 132, 131, 132, 11488, 1167, 5474, 25194, 17935, 17994, 1424, 488, 16158, 1346, 6174, 172, 3561, 8878, 1246, 13971, 133, 3758, 1342, 1500, 1171, 6120, 3194, 1161, 29484, 1306, 7183, 1782, 1285, 6832, 1977, 7940, 1285, 488, 124, 132, 132, 125, 1155, 1424, 488, 1863, 1379, 2114, 10170, 3100, 2885, 3145, 3187, 2068, 2850, 1285, 4389, 1575, 133, 1135, 9858, 1161, 4389, 1575, 11209, 1171, 20332, 1867, 161, 5243, 133, 29245, 5467, 10505, 1171, 1135, 5096, 1161, 1110, 9702, 187, 1214, 7467, 15292, 2114, 1306, 4648, 1105, 1204, 1633, 5386, 1306, 4691, 1157, 3378, 488, 125, 123, 124, 123, 1388, 10026, 11052, 1424, 30407, 5964, 7364, 5825, 25158, 1660, 1109, 1374, 8403, 8156, 1186, 2738, 488, 124, 132, 123, 127, 9317, 1186, 2829, 488, 124, 132, 131, 132, 9317, 1188, 488, 131, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 21188, 5807, 161, 1146, 1124, 1867, 161, 5243, 1175, 125, 125, 2738, 488, 124, 132, 123, 127, 1188, 1306, 4648, 1105, 4698, 1507, 15108, 116, 1323, 488, 130, 2829, 488, 124, 132, 131, 132, 116, 1299, 1318, 20896, 5578, 4236, 10964, 5263, 8012, 11876, 1125, 9337, 1167, 6562, 1109, 1774, 121, 3450, 1110, 1913, 2205, 6264, 1849, 1313, 5753, 1974, 1167, 1158, 8119, 1125, 2069, 9337, 1125, 9189, 31797, 1257, 10608, 1149, 1135, 8080, 1161, 9197, 7212, 1149, 1125, 4389, 1575, 11209, 1167, 5753, 1974, 13900, 1125, 18143, 13971, 1125, 6577, 2486, 1262, 14898, 20047, 6480, 14231, 22745, 2964, 1867, 161, 5243, 1299, 14232, 1188, 1306, 4648, 2114, 1313, 1170, 6174, 1205, 3100, 1170, 488, 125, 125, 2738, 488, 124, 132, 123, 127, 121, 3450, 8833, 1849, 15714, 5584, 14654, 1608, 7041, 1188, 1158, 1622, 1125, 1561, 3453, 13407, 1186, 488, 124, 132, 125, 126, 119, 2399, 16722, 4428, 7569, 1354, 8403, 13949, 1867, 161, 1190, 2086, 1357, 3618, 1913, 1594, 13787, 1304, 13398, 21194, 1808, 1867, 161, 5243, 16480, 1188, 7524, 1220, 2333, 3672, 5999, 5305, 2648, 3175, 1538, 9062, 1188, 13793, 27670, 1313, 1170, 24725, 1706, 1285, 2585, 13949, 19353, 1282, 23715, 1188, 15714, 30211, 22571, 488, 124, 132, 126, 129, 121, 3767, 3285, 1125, 2008, 9881, 15223, 1867, 161, 5243, 1844, 1158, 8191, 1125, 6344, 12557, 21695, 12891, 4505, 1323, 1197, 11406, 15913, 1125, 13949, 1323, 2487, 6927, 1252, 1150, 1243, 1167, 1200, 1651, 1488, 7690, 1484, 2114, 8328, 7993, 1974, 121, 1808, 1867, 161, 5243, 2004, 21571, 1188, 26734, 3672, 1158, 22031, 3247, 1125, 1964, 2492, 1167, 2004, 4795, 2069, 1962, 1285, 24664, 1105, 4880, 1249, 1186, 488, 125, 123, 123, 132, 1496, 29542, 1675, 13619, 1167, 1918, 5544, 18041, 10558, 1125, 1158, 7585, 1167, 31891, 1357, 1110, 4208, 8694, 1188, 15714, 1198, 3299, 1634, 8370, 1408, 9033, 1318, 6562, 1109, 1774, 10439, 1214, 1167, 1318, 11876, 1125, 2350, 6712, 20332, 1867, 161, 5243, 1110, 20780, 3672, 1125, 6344, 4092, 1856, 14698, 1125, 8870, 4748, 2368, 9848, 1199, 1125, 1561, 28742, 1167, 1338, 2964, 1199, 1909, 5617, 1297, 1653, 488, 124, 132, 128, 125, 119, 1867, 161, 5243, 1110, 8217, 1318, 8710, 1125, 4389, 1575, 11209, 119, 1357, 7184, 1370, 3042, 1188, 6721, 1338, 1193, 4658, 1188, 14765, 1197, 31518, 8290, 2097, 1125, 13949, 1300, 1207, 2077, 27582, 1125, 6562, 4994, 1643, 5401, 1125, 1867, 161, 5243, 1188, 1816, 8710, 1299, 1188, 21839, 1125, 1158, 28742, 1167, 1125, 13680, 10190, 1125, 2797, 1318, 2492, 1835, 1207, 2069, 2820, 14385, 1867, 161, 5243, 1167, 11209, 1288, 1281, 12194, 1258, 1186, 3888, 8688, 488, 124, 132, 128, 127, 119, 1723, 1317, 3285, 1125, 2008, 2069, 9881, 15223, 5138, 6143, 3711, 1258, 3997, 488, 124, 125, 123, 2866, 15354, 1357, 4616, 12048, 1417, 1142, 1473, 1313, 1189, 29920, 3187, 2068, 2850, 1285, 4389, 1575, 1175, 125, 123, 124, 123, 4023, 2524, 161, 5243, 1110, 1913, 6113, 1197, 7790, 20236, 1167, 8325, 14814, 1227, 12905, 5509, 1125, 9189, 1125, 11209, 119, 10608, 1149, 1135, 8080, 1161, 9197, 7212, 2064, 1167, 1909, 4445, 20896, 5700, 1104, 2004, 1110, 2991, 11209, 1167, 1909, 15098, 1334, 3051, 7422, 1567, 5763, 1276, 1172, 1126, 1167, 7087, 1438, 28807, 1188, 30148, 1189, 5234, 1469, 1306, 4648, 1105, 1204, 1633, 5386, 1186, 488, 124, 132, 128, 127, 121, 13040, 1158, 4685, 7993, 1974, 28768, 1567, 1170, 29920, 1867, 161, 5243, 22500, 1188, 1561, 8119, 1215, 27583, 7747, 11453, 1273, 177, 7552, 2136, 1158, 4541, 1994, 1286, 1125, 13949, 1867, 161, 5243, 1186, 488, 124, 132, 128, 128, 119, 20332, 1867, 161, 5243, 9900, 1856, 19619, 1632, 1167, 20896, 5578, 1125, 9337, 1125, 9189, 1256, 11453, 1273, 177, 1125, 488, 124, 132, 128, 129, 1188, 488, 124, 132, 128, 131, 121, 3450, 7354, 6349, 14698, 1125, 1158, 21200, 1488, 6842, 1188, 30211, 1125, 488, 124, 132, 128, 131, 1188, 488, 124, 132, 129, 126, 1167, 9900, 1317, 8899, 1197, 1106, 30657, 1227, 8227, 1395, 1633, 176, 9168, 7328, 1561, 11521, 1186, 488, 124, 132, 129, 132, 121, 19321, 1816, 4927, 119, 2399, 1110, 2445, 4222, 244, 1188, 27446, 1167, 1188, 6084, 1197, 29112, 190, 1256, 1306, 4648, 1105, 1204, 1633, 5386, 31265, 161, 5243, 19859, 2335, 10346, 1227, 1113, 1452, 1568, 1141, 1186, 488, 124, 132, 131, 132, 11488, 1167, 5474, 25194, 17935, 17994, 1424, 488, 16158, 1346, 6174, 172, 3561, 8878, 1246, 13971, 133, 3758, 1342, 1500, 1171, 6120, 3194, 1161, 29484, 1306, 7183, 1782, 1285, 6832, 1977, 7940, 1285, 488, 124, 132, 132, 125, 1155, 1424, 488, 1863, 1379, 2114, 10170, 3100, 2885, 3145, 3187, 2068, 2850, 1285, 4389, 1575, 133, 1135, 9858, 1161, 4389, 1575, 11209, 1171, 20332, 1867, 161, 5243, 133, 29245, 5467, 10505, 1171, 1135, 5096, 1161, 1110, 9702, 187, 1214, 7467, 15292, 2114, 1306, 4648, 1105, 1204, 1633, 5386, 1306, 4691, 1157, 3378, 488, 125, 123, 124, 123, 1388, 10026, 11052, 1424, 30407, 5964, 7364, 5825, 25158, 1660, 1109, 1374, 8403, 8156, 1186, 2738, 488, 124, 132, 123, 127, 9317, 1186, 2829, 488, 124, 132, 131, 132, 9317, 1188, 488, 131, 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, 14564, 2119, 1189, 7666, 29249, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 1125, 488, 126, 19185, 1125, 23486, 12866, 1186, 488, 125, 123, 123, 123, 29227, 6538, 1110, 1913, 12866, 1170, 488, 125, 130, 2738, 488, 125, 123, 123, 123, 1188, 1282, 12838, 4371, 6453, 175, 1132, 8270, 24650, 4780, 8446, 1313, 1170, 21836, 1125, 1173, 1237, 1121, 19074, 1317, 20835, 3046, 1398, 1460, 1175, 15784, 7540, 1496, 1215, 1170, 2929, 28340, 1266, 1570, 7480, 8339, 3187, 1213, 6081, 8513, 6574, 6686, 1868, 4023, 20616, 21198, 1329, 5982, 2137, 6725, 10584, 1286, 1125, 3371, 7666, 29249, 1299, 7925, 1303, 1215, 1189, 20456, 20094, 27792, 1125, 488, 125, 119, 128, 127, 1405, 5128, 1189, 3731, 179, 20891, 1125, 488, 124, 119, 132, 131, 1405, 5128, 1318, 1279, 3196, 1766, 1348, 1125, 488, 123, 119, 125, 125, 1167, 1318, 2123, 1109, 5540, 1125, 488, 130, 119, 125, 128, 210, 1215, 3598, 1188, 6577, 6448, 17285, 6604, 1844, 1125, 2008, 7925, 11212, 1188, 3089, 1189, 20456, 20094, 27792, 5749, 1835, 488, 125, 1167, 488, 126, 1405, 140, 1167, 1189, 3731, 179, 20891, 8595, 1188, 488, 124, 119, 131, 126, 1405, 5128, 1527, 1299, 1936, 2357, 3702, 1158, 1859, 1856, 6999, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 25886, 21198, 17871, 6538, 1110, 1318, 29729, 11572, 1277, 7933, 116, 1125, 488, 124, 128, 119, 130, 1167, 1189, 1294, 173, 1740, 186, 28577, 1188, 488, 123, 119, 127, 123, 125, 119, 1440, 1357, 2856, 1125, 29912, 1189, 23486, 1125, 488, 126, 12851, 243, 25869, 4466, 6282, 2004, 1913, 8776, 1153, 4855, 1571, 15342, 1227, 1325, 1468, 120, 4176, 12646, 1154, 2395, 30332, 29212, 11560, 11510, 1496, 1189, 1111, 19876, 174, 2249, 23149, 8403, 3902, 1186, 25818, 1286, 1186, 488, 125, 123, 123, 132, 1167, 5391, 1199, 9933, 1227, 15349, 1313, 5444, 1885, 1124, 1118, 4780, 1167, 21722, 1186, 488, 125, 123, 124, 124, 1313, 1189, 3477, 21284, 1207, 7790, 6282, 5958, 1207, 7666, 16253, 3436, 1125, 1158, 20450, 11419, 30039, 2072, 11006, 11052, 27012, 1197, 2678, 12202, 8330, 1842, 1175, 126, 126, 123, 123, 124, 120, 126, 127, 123, 123, 123, 8136, 176, 12451, 20087, 30828, 3436, 7364, 5825, 15948, 1194, 2744, 1843, 29346, 12866, 1186, 488, 125, 123, 123, 123, 1530, 1243, 29249, 1125, 1158, 20450, 11419, 16806, 1843, 29346, 12866, 1215, 1200, 6686, 1868, 16806, 1843, 29346, 12866, 1188, 1282, 12838, 4371, 6453, 175, 1132, 8270, 24650, 1315, 32001, 1424, 32000, 20036, 24368, 1189, 7666, 29249, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 1125, 488, 126, 19185, 1125, 23486, 12866, 1186, 488, 125, 123, 123, 123, 29227, 6538, 1110, 1913, 12866, 1170, 488, 125, 130, 2738, 488, 125, 123, 123, 123, 1188, 1282, 12838, 4371, 6453, 175, 1132, 8270, 24650, 4780, 8446, 1313, 1170, 21836, 1125, 1173, 1237, 1121, 19074, 1317, 20835, 3046, 1398, 1460, 1175, 15784, 7540, 1496, 1215, 1170, 2929, 28340, 1266, 1570, 7480, 8339, 3187, 1213, 6081, 8513, 6574, 6686, 1868, 4023, 20616, 21198, 1329, 5982, 2137, 6725, 10584, 1286, 1125, 3371, 7666, 29249, 1299, 7925, 1303, 1215, 1189, 20456, 20094, 27792, 1125, 488, 125, 119, 128, 127, 1405, 5128, 1189, 3731, 179, 20891, 1125, 488, 124, 119, 132, 131, 1405, 5128, 1318, 1279, 3196, 1766, 1348, 1125, 488, 123, 119, 125, 125, 1167, 1318, 2123, 1109, 5540, 1125, 488, 130, 119, 125, 128, 210, 1215, 3598, 1188, 6577, 6448, 17285, 6604, 1844, 1125, 2008, 7925, 11212, 1188, 3089, 1189, 20456, 20094, 27792, 5749, 1835, 488, 125, 1167, 488, 126, 1405, 140, 1167, 1189, 3731, 179, 20891, 8595, 1188, 488, 124, 119, 131, 126, 1405, 5128, 1527, 1299, 1936, 2357, 3702, 1158, 1859, 1856, 6999, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 25886, 21198, 17871, 6538, 1110, 1318, 29729, 11572, 1277, 7933, 116, 1125, 488, 124, 128, 119, 130, 1167, 1189, 1294, 173, 1740, 186, 28577, 1188, 488, 123, 119, 127, 123, 125, 119, 1440, 1357, 2856, 1125, 29912, 1189, 23486, 1125, 488, 126, 12851, 243, 25869, 4466, 6282, 2004, 1913, 8776, 1153, 4855, 1571, 15342, 1227, 1325, 1468, 120, 4176, 12646, 1154, 2395, 30332, 29212, 11560, 11510, 1496, 1189, 1111, 19876, 174, 2249, 23149, 8403, 3902, 1186, 25818, 1286, 1186, 488, 125, 123, 123, 132, 1167, 5391, 1199, 9933, 1227, 15349, 1313, 5444, 1885, 1124, 1118, 4780, 1167, 21722, 1186, 488, 125, 123, 124, 124, 1313, 1189, 3477, 21284, 1207, 7790, 6282, 5958, 1207, 7666, 16253, 3436, 1125, 1158, 20450, 11419, 30039, 2072, 11006, 11052, 27012, 1197, 2678, 12202, 8330, 1842, 1175, 126, 126, 123, 123, 124, 120, 126, 127, 123, 123, 123, 8136, 176, 12451, 20087, 30828, 3436, 7364, 5825, 15948, 1194, 2744, 1843, 29346, 12866, 1186, 488, 125, 123, 123, 123, 1530, 1243, 29249, 1125, 1158, 20450, 11419, 16806, 1843, 29346, 12866, 1215, 1200, 6686, 1868, 16806, 1843, 29346, 12866, 1188, 1282, 12838, 4371, 6453, 175, 1132, 8270, 24650, 1315, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 24368, 1189, 7666, 29249, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 1125, 488, 126, 19185, 1125, 23486, 12866, 1186, 488, 125, 123, 123, 123, 29227, 6538, 1110, 1913, 12866, 1170, 488, 125, 130, 2738, 488, 125, 123, 123, 123, 1188, 1282, 12838, 4371, 6453, 175, 1132, 8270, 24650, 4780, 8446, 1313, 1170, 21836, 1125, 1173, 1237, 1121, 19074, 1317, 20835, 3046, 1398, 1460, 1175, 15784, 7540, 1496, 1215, 1170, 2929, 28340, 1266, 1570, 7480, 8339, 3187, 1213, 6081, 8513, 6574, 6686, 1868, 4023, 20616, 21198, 1329, 5982, 2137, 6725, 10584, 1286, 1125, 3371, 7666, 29249, 1299, 7925, 1303, 1215, 1189, 20456, 20094, 27792, 1125, 488, 125, 119, 128, 127, 1405, 5128, 1189, 3731, 179, 20891, 1125, 488, 124, 119, 132, 131, 1405, 5128, 1318, 1279, 3196, 1766, 1348, 1125, 488, 123, 119, 125, 125, 1167, 1318, 2123, 1109, 5540, 1125, 488, 130, 119, 125, 128, 210, 1215, 3598, 1188, 6577, 6448, 17285, 6604, 1844, 1125, 2008, 7925, 11212, 1188, 3089, 1189, 20456, 20094, 27792, 5749, 1835, 488, 125, 1167, 488, 126, 1405, 140, 1167, 1189, 3731, 179, 20891, 8595, 1188, 488, 124, 119, 131, 126, 1405, 5128, 1527, 1299, 1936, 2357, 3702, 1158, 1859, 1856, 6999, 1125, 1158, 20450, 11419, 20087, 30828, 3436, 25886, 21198, 17871, 6538, 1110, 1318, 29729, 11572, 1277, 7933, 116, 1125, 488, 124, 128, 119, 130, 1167, 1189, 1294, 173, 1740, 186, 28577, 1188, 488, 123, 119, 127, 123, 125, 119, 1440, 1357, 2856, 1125, 29912, 1189, 23486, 1125, 488, 126, 12851, 243, 25869, 4466, 6282, 2004, 1913, 8776, 1153, 4855, 1571, 15342, 1227, 1325, 1468, 120, 4176, 12646, 1154, 2395, 30332, 29212, 11560, 11510, 1496, 1189, 1111, 19876, 174, 2249, 23149, 8403, 3902, 1186, 25818, 1286, 1186, 488, 125, 123, 123, 132, 1167, 5391, 1199, 9933, 1227, 15349, 1313, 5444, 1885, 1124, 1118, 4780, 1167, 21722, 1186, 488, 125, 123, 124, 124, 1313, 1189, 3477, 21284, 1207, 7790, 6282, 5958, 1207, 7666, 16253, 3436, 1125, 1158, 20450, 11419, 30039, 2072, 11006, 11052, 27012, 1197, 2678, 12202, 8330, 1842, 1175, 126, 126, 123, 123, 124, 120, 126, 127, 123, 123, 123, 8136, 176, 12451, 20087, 30828, 3436, 7364, 5825, 15948, 1194, 2744, 1843, 29346, 12866, 1186, 488, 125, 123, 123, 123, 1530, 1243, 29249, 1125, 1158, 20450, 11419, 16806, 1843, 29346, 12866, 1215, 1200, 6686, 1868, 16806, 1843, 29346, 12866, 1188, 1282, 12838, 4371, 6453, 175, 1132, 8270, 24650, 1315, 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, 7914, 1328, 2571, 18325, 21965, 1200, 6855, 1108, 1175, 2951, 3366, 488, 124, 1107, 2584, 488, 124, 131, 128, 123, 1323, 1198, 14413, 6122, 3046, 24990, 488, 132, 2829, 488, 124, 132, 124, 126, 116, 1299, 1189, 20581, 1167, 6273, 1136, 2720, 14231, 12928, 24542, 22696, 1186, 488, 124, 131, 130, 127, 1188, 1158, 4595, 1125, 1158, 1138, 2898, 4054, 6035, 191, 1303, 1215, 1594, 9159, 1186, 488, 124, 131, 129, 128, 1188, 1198, 14413, 6122, 3046, 24990, 16402, 1962, 1861, 2487, 1527, 7354, 1170, 6513, 17266, 1186, 488, 124, 131, 131, 128, 119, 8179, 1200, 6855, 1108, 15574, 7581, 1125, 5087, 18273, 1125, 4052, 1313, 1207, 8742, 1305, 1517, 1109, 2972, 7041, 1256, 29230, 1909, 1138, 2898, 1104, 1125, 10021, 1965, 1281, 24389, 2079, 3790, 1715, 2392, 1768, 3958, 1274, 1197, 14572, 1188, 4759, 1170, 12630, 3747, 1186, 4595, 1197, 9864, 1167, 1227, 26015, 1653, 488, 124, 131, 130, 129, 119, 1527, 15458, 2442, 1197, 14855, 1125, 5203, 1188, 2482, 4524, 1167, 1188, 20024, 7745, 1105, 5625, 7371, 8103, 4796, 488, 124, 131, 131, 125, 5639, 1125, 488, 131, 123, 123, 4783, 1164, 2996, 2605, 10536, 16487, 1125, 1198, 14413, 1175, 124, 131, 132, 125, 120, 124, 132, 124, 125, 1496, 1527, 1910, 1186, 488, 124, 131, 132, 125, 30561, 22535, 1227, 6075, 3847, 1768, 5909, 1170, 3627, 15545, 21549, 1112, 1304, 12736, 1527, 4468, 16273, 1300, 1170, 25984, 1293, 4910, 16528, 1256, 2482, 4524, 121, 20437, 1186, 1441, 2982, 1527, 21835, 29487, 1197, 9864, 1215, 11173, 29854, 3281, 21147, 119, 3870, 1245, 16005, 1120, 1167, 1325, 6883, 2552, 178, 1167, 12669, 29100, 1304, 12736, 1527, 27492, 1300, 1115, 15226, 3528, 1161, 9844, 1357, 1170, 26834, 1188, 1671, 1387, 2562, 1174, 2036, 2093, 17971, 6075, 2114, 1527, 4808, 1671, 1387, 2562, 26029, 25518, 1569, 1136, 1810, 16275, 196, 2086, 29650, 1487, 1810, 21931, 1190, 2086, 15783, 1569, 1810, 1518, 1383, 2357, 29365, 1810, 14664, 11509, 9981, 1123, 1810, 1170, 12179, 1306, 1569, 1438, 1167, 1158, 3869, 9036, 1366, 14609, 181, 1205, 26363, 1167, 17931, 1148, 1125, 5087, 6746, 1300, 1170, 14506, 11990, 121, 6280, 6127, 1125, 6273, 2934, 2442, 1158, 3453, 1188, 9791, 1318, 4072, 1125, 17378, 4734, 4521, 1227, 6075, 3847, 29459, 15783, 1569, 1810, 1527, 22589, 1214, 3203, 15706, 1962, 3972, 2487, 1527, 12365, 1229, 1282, 4299, 28282, 4511, 1518, 1383, 2357, 1527, 31322, 1148, 1318, 16229, 13900, 7809, 1199, 1227, 5430, 1167, 21489, 1207, 31761, 3220, 1125, 2498, 1197, 3658, 1473, 9943, 12288, 1768, 25540, 18732, 17283, 19386, 1125, 22535, 10595, 1774, 1317, 14506, 1167, 1158, 24558, 9942, 1357, 20906, 3146, 1965, 7340, 12397, 1158, 18147, 1348, 1357, 1139, 1370, 1154, 1835, 1170, 14506, 1167, 23430, 121, 2093, 151, 6855, 1108, 30816, 1594, 26673, 5464, 1215, 1170, 17664, 27561, 1207, 17449, 17061, 4808, 1282, 1924, 4218, 5116, 1378, 1125, 15034, 2487, 1527, 5686, 2960, 1318, 10604, 5456, 1313, 1561, 6127, 1227, 20958, 9556, 17911, 121, 2093, 151, 6855, 1108, 1299, 1844, 14018, 1374, 1125, 1158, 13097, 1231, 6111, 12132, 1170, 488, 126, 124, 2584, 488, 124, 131, 132, 129, 121, 1653, 488, 124, 132, 123, 123, 119, 1527, 4723, 4326, 1318, 16229, 1317, 6075, 3847, 14301, 9950, 1125, 1198, 14413, 7723, 1129, 1186, 488, 124, 132, 124, 124, 1189, 2709, 1374, 1304, 1542, 1164, 2563, 17504, 1167, 27492, 26548, 1200, 6855, 1108, 1281, 1844, 13087, 3042, 1189, 13337, 1357, 2934, 1186, 3247, 30633, 2391, 1125, 1158, 16880, 12507, 10999, 8732, 1565, 1162, 1424, 1548, 14506, 11990, 119, 2358, 2114, 488, 124, 131, 132, 127, 9323, 1167, 20117, 2072, 17994, 1424, 15439, 172, 6375, 7792, 29749, 1197, 22503, 2518, 2720, 1227, 488, 124, 132, 176, 19565, 14733, 125, 119, 3187, 2620, 1165, 6833, 5560, 488, 124, 132, 132, 125, 119, 7364, 5825, 2093, 2093, 12268, 4734, 1140, 2720, 1227, 26851, 6298, 8156, 1186, 2584, 488, 124, 131, 128, 123, 8156, 1188, 2801, 9317, 1186, 2829, 488, 124, 132, 124, 126, 9317, 1313, 14097, 1439, 9317, 1188, 488, 129, 125, 2165, 114, 32001, 1424, 32000, 20036, 24623, 7914, 1328, 2571, 18325, 21965, 1200, 6855, 1108, 1175, 2951, 3366, 488, 124, 1107, 2584, 488, 124, 131, 128, 123, 1323, 1198, 14413, 6122, 3046, 24990, 488, 132, 2829, 488, 124, 132, 124, 126, 116, 1299, 1189, 20581, 1167, 6273, 1136, 2720, 14231, 12928, 24542, 22696, 1186, 488, 124, 131, 130, 127, 1188, 1158, 4595, 1125, 1158, 1138, 2898, 4054, 6035, 191, 1303, 1215, 1594, 9159, 1186, 488, 124, 131, 129, 128, 1188, 1198, 14413, 6122, 3046, 24990, 16402, 1962, 1861, 2487, 1527, 7354, 1170, 6513, 17266, 1186, 488, 124, 131, 131, 128, 119, 8179, 1200, 6855, 1108, 15574, 7581, 1125, 5087, 18273, 1125, 4052, 1313, 1207, 8742, 1305, 1517, 1109, 2972, 7041, 1256, 29230, 1909, 1138, 2898, 1104, 1125, 10021, 1965, 1281, 24389, 2079, 3790, 1715, 2392, 1768, 3958, 1274, 1197, 14572, 1188, 4759, 1170, 12630, 3747, 1186, 4595, 1197, 9864, 1167, 1227, 26015, 1653, 488, 124, 131, 130, 129, 119, 1527, 15458, 2442, 1197, 14855, 1125, 5203, 1188, 2482, 4524, 1167, 1188, 20024, 7745, 1105, 5625, 7371, 8103, 4796, 488, 124, 131, 131, 125, 5639, 1125, 488, 131, 123, 123, 4783, 1164, 2996, 2605, 10536, 16487, 1125, 1198, 14413, 1175, 124, 131, 132, 125, 120, 124, 132, 124, 125, 1496, 1527, 1910, 1186, 488, 124, 131, 132, 125, 30561, 22535, 1227, 6075, 3847, 1768, 5909, 1170, 3627, 15545, 21549, 1112, 1304, 12736, 1527, 4468, 16273, 1300, 1170, 25984, 1293, 4910, 16528, 1256, 2482, 4524, 121, 20437, 1186, 1441, 2982, 1527, 21835, 29487, 1197, 9864, 1215, 11173, 29854, 3281, 21147, 119, 3870, 1245, 16005, 1120, 1167, 1325, 6883, 2552, 178, 1167, 12669, 29100, 1304, 12736, 1527, 27492, 1300, 1115, 15226, 3528, 1161, 9844, 1357, 1170, 26834, 1188, 1671, 1387, 2562, 1174, 2036, 2093, 17971, 6075, 2114, 1527, 4808, 1671, 1387, 2562, 26029, 25518, 1569, 1136, 1810, 16275, 196, 2086, 29650, 1487, 1810, 21931, 1190, 2086, 15783, 1569, 1810, 1518, 1383, 2357, 29365, 1810, 14664, 11509, 9981, 1123, 1810, 1170, 12179, 1306, 1569, 1438, 1167, 1158, 3869, 9036, 1366, 14609, 181, 1205, 26363, 1167, 17931, 1148, 1125, 5087, 6746, 1300, 1170, 14506, 11990, 121, 6280, 6127, 1125, 6273, 2934, 2442, 1158, 3453, 1188, 9791, 1318, 4072, 1125, 17378, 4734, 4521, 1227, 6075, 3847, 29459, 15783, 1569, 1810, 1527, 22589, 1214, 3203, 15706, 1962, 3972, 2487, 1527, 12365, 1229, 1282, 4299, 28282, 4511, 1518, 1383, 2357, 1527, 31322, 1148, 1318, 16229, 13900, 7809, 1199, 1227, 5430, 1167, 21489, 1207, 31761, 3220, 1125, 2498, 1197, 3658, 1473, 9943, 12288, 1768, 25540, 18732, 17283, 19386, 1125, 22535, 10595, 1774, 1317, 14506, 1167, 1158, 24558, 9942, 1357, 20906, 3146, 1965, 7340, 12397, 1158, 18147, 1348, 1357, 1139, 1370, 1154, 1835, 1170, 14506, 1167, 23430, 121, 2093, 151, 6855, 1108, 30816, 1594, 26673, 5464, 1215, 1170, 17664, 27561, 1207, 17449, 17061, 4808, 1282, 1924, 4218, 5116, 1378, 1125, 15034, 2487, 1527, 5686, 2960, 1318, 10604, 5456, 1313, 1561, 6127, 1227, 20958, 9556, 17911, 121, 2093, 151, 6855, 1108, 1299, 1844, 14018, 1374, 1125, 1158, 13097, 1231, 6111, 12132, 1170, 488, 126, 124, 2584, 488, 124, 131, 132, 129, 121, 1653, 488, 124, 132, 123, 123, 119, 1527, 4723, 4326, 1318, 16229, 1317, 6075, 3847, 14301, 9950, 1125, 1198, 14413, 7723, 1129, 1186, 488, 124, 132, 124, 124, 1189, 2709, 1374, 1304, 1542, 1164, 2563, 17504, 1167, 27492, 26548, 1200, 6855, 1108, 1281, 1844, 13087, 3042, 1189, 13337, 1357, 2934, 1186, 3247, 30633, 2391, 1125, 1158, 16880, 12507, 10999, 8732, 1565, 1162, 1424, 1548, 14506, 11990, 119, 2358, 2114, 488, 124, 131, 132, 127, 9323, 1167, 20117, 2072, 17994, 1424, 15439, 172, 6375, 7792, 29749, 1197, 22503, 2518, 2720, 1227, 488, 124, 132, 176, 19565, 14733, 125, 119, 3187, 2620, 1165, 6833, 5560, 488, 124, 132, 132, 125, 119, 7364, 5825, 2093, 2093, 12268, 4734, 1140, 2720, 1227, 26851, 6298, 8156, 1186, 2584, 488, 124, 131, 128, 123, 8156, 1188, 2801, 9317, 1186, 2829, 488, 124, 132, 124, 126, 9317, 1313, 14097, 1439, 9317, 1188, 488, 129, 125, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 7914, 1328, 2571, 18325, 21965, 1200, 6855, 1108, 1175, 2951, 3366, 488, 124, 1107, 2584, 488, 124, 131, 128, 123, 1323, 1198, 14413, 6122, 3046, 24990, 488, 132, 2829, 488, 124, 132, 124, 126, 116, 1299, 1189, 20581, 1167, 6273, 1136, 2720, 14231, 12928, 24542, 22696, 1186, 488, 124, 131, 130, 127, 1188, 1158, 4595, 1125, 1158, 1138, 2898, 4054, 6035, 191, 1303, 1215, 1594, 9159, 1186, 488, 124, 131, 129, 128, 1188, 1198, 14413, 6122, 3046, 24990, 16402, 1962, 1861, 2487, 1527, 7354, 1170, 6513, 17266, 1186, 488, 124, 131, 131, 128, 119, 8179, 1200, 6855, 1108, 15574, 7581, 1125, 5087, 18273, 1125, 4052, 1313, 1207, 8742, 1305, 1517, 1109, 2972, 7041, 1256, 29230, 1909, 1138, 2898, 1104, 1125, 10021, 1965, 1281, 24389, 2079, 3790, 1715, 2392, 1768, 3958, 1274, 1197, 14572, 1188, 4759, 1170, 12630, 3747, 1186, 4595, 1197, 9864, 1167, 1227, 26015, 1653, 488, 124, 131, 130, 129, 119, 1527, 15458, 2442, 1197, 14855, 1125, 5203, 1188, 2482, 4524, 1167, 1188, 20024, 7745, 1105, 5625, 7371, 8103, 4796, 488, 124, 131, 131, 125, 5639, 1125, 488, 131, 123, 123, 4783, 1164, 2996, 2605, 10536, 16487, 1125, 1198, 14413, 1175, 124, 131, 132, 125, 120, 124, 132, 124, 125, 1496, 1527, 1910, 1186, 488, 124, 131, 132, 125, 30561, 22535, 1227, 6075, 3847, 1768, 5909, 1170, 3627, 15545, 21549, 1112, 1304, 12736, 1527, 4468, 16273, 1300, 1170, 25984, 1293, 4910, 16528, 1256, 2482, 4524, 121, 20437, 1186, 1441, 2982, 1527, 21835, 29487, 1197, 9864, 1215, 11173, 29854, 3281, 21147, 119, 3870, 1245, 16005, 1120, 1167, 1325, 6883, 2552, 178, 1167, 12669, 29100, 1304, 12736, 1527, 27492, 1300, 1115, 15226, 3528, 1161, 9844, 1357, 1170, 26834, 1188, 1671, 1387, 2562, 1174, 2036, 2093, 17971, 6075, 2114, 1527, 4808, 1671, 1387, 2562, 26029, 25518, 1569, 1136, 1810, 16275, 196, 2086, 29650, 1487, 1810, 21931, 1190, 2086, 15783, 1569, 1810, 1518, 1383, 2357, 29365, 1810, 14664, 11509, 9981, 1123, 1810, 1170, 12179, 1306, 1569, 1438, 1167, 1158, 3869, 9036, 1366, 14609, 181, 1205, 26363, 1167, 17931, 1148, 1125, 5087, 6746, 1300, 1170, 14506, 11990, 121, 6280, 6127, 1125, 6273, 2934, 2442, 1158, 3453, 1188, 9791, 1318, 4072, 1125, 17378, 4734, 4521, 1227, 6075, 3847, 29459, 15783, 1569, 1810, 1527, 22589, 1214, 3203, 15706, 1962, 3972, 2487, 1527, 12365, 1229, 1282, 4299, 28282, 4511, 1518, 1383, 2357, 1527, 31322, 1148, 1318, 16229, 13900, 7809, 1199, 1227, 5430, 1167, 21489, 1207, 31761, 3220, 1125, 2498, 1197, 3658, 1473, 9943, 12288, 1768, 25540, 18732, 17283, 19386, 1125, 22535, 10595, 1774, 1317, 14506, 1167, 1158, 24558, 9942, 1357, 20906, 3146, 1965, 7340, 12397, 1158, 18147, 1348, 1357, 1139, 1370, 1154, 1835, 1170, 14506, 1167, 23430, 121, 2093, 151, 6855, 1108, 30816, 1594, 26673, 5464, 1215, 1170, 17664, 27561, 1207, 17449, 17061, 4808, 1282, 1924, 4218, 5116, 1378, 1125, 15034, 2487, 1527, 5686, 2960, 1318, 10604, 5456, 1313, 1561, 6127, 1227, 20958, 9556, 17911, 121, 2093, 151, 6855, 1108, 1299, 1844, 14018, 1374, 1125, 1158, 13097, 1231, 6111, 12132, 1170, 488, 126, 124, 2584, 488, 124, 131, 132, 129, 121, 1653, 488, 124, 132, 123, 123, 119, 1527, 4723, 4326, 1318, 16229, 1317, 6075, 3847, 14301, 9950, 1125, 1198, 14413, 7723, 1129, 1186, 488, 124, 132, 124, 124, 1189, 2709, 1374, 1304, 1542, 1164, 2563, 17504, 1167, 27492, 26548, 1200, 6855, 1108, 1281, 1844, 13087, 3042, 1189, 13337, 1357, 2934, 1186, 3247, 30633, 2391, 1125, 1158, 16880, 12507, 10999, 8732, 1565, 1162, 1424, 1548, 14506, 11990, 119, 2358, 2114, 488, 124, 131, 132, 127, 9323, 1167, 20117, 2072, 17994, 1424, 15439, 172, 6375, 7792, 29749, 1197, 22503, 2518, 2720, 1227, 488, 124, 132, 176, 19565, 14733, 125, 119, 3187, 2620, 1165, 6833, 5560, 488, 124, 132, 132, 125, 119, 7364, 5825, 2093, 2093, 12268, 4734, 1140, 2720, 1227, 26851, 6298, 8156, 1186, 2584, 488, 124, 131, 128, 123, 8156, 1188, 2801, 9317, 1186, 2829, 488, 124, 132, 124, 126, 9317, 1313, 14097, 1439, 9317, 1188, 488, 129, 125, 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, 1424, 146, 180, 1651, 30230, 7494, 31838, 5252, 1170, 488, 488, 125, 123, 3012, 488, 124, 132, 128, 131, 1188, 1202, 1439, 1175, 20270, 1496, 1299, 1189, 4981, 24981, 10034, 11493, 1357, 12242, 1370, 1317, 8536, 1125, 24526, 1108, 1125, 1663, 121, 3767, 3285, 1125, 1561, 9245, 1527, 28160, 1188, 1158, 1252, 3553, 13666, 1810, 1317, 28562, 1192, 7440, 1317, 1173, 10083, 14642, 24293, 1317, 9339, 27482, 1317, 1778, 1232, 13054, 1167, 1188, 1282, 2235, 8415, 1210, 1983, 2442, 8688, 4924, 1304, 20270, 12258, 2803, 8826, 24424, 3299, 5266, 190, 1469, 10796, 1304, 20270, 1835, 488, 124, 132, 131, 126, 1167, 488, 124, 132, 131, 129, 121, 1768, 1110, 27216, 1158, 11609, 1227, 2854, 488, 124, 132, 131, 125, 1469, 10796, 1304, 20270, 31839, 12634, 20096, 1107, 1170, 17065, 3904, 119, 1167, 3042, 3365, 1288, 6036, 1370, 1382, 2743, 1158, 17065, 5266, 1576, 1768, 1110, 1913, 1170, 12456, 1227, 8536, 2391, 1125, 1158, 11609, 1227, 2854, 488, 124, 132, 131, 129, 14231, 12498, 1124, 4096, 1424, 488, 124, 132, 130, 130, 120, 124, 132, 131, 129, 1257, 9687, 1252, 3553, 1129, 3382, 106, 488, 124, 132, 131, 129, 120, 124, 132, 132, 123, 1257, 28562, 9687, 106, 488, 124, 132, 132, 123, 120, 124, 132, 132, 126, 1257, 1173, 10083, 14642, 2832, 106, 488, 124, 132, 132, 126, 120, 124, 132, 132, 127, 1257, 9339, 4384, 5863, 1780, 9945, 488, 124, 132, 132, 127, 120, 124, 132, 132, 128, 1257, 1778, 1232, 9687, 106, 488, 124, 132, 132, 128, 120, 124, 132, 132, 129, 1257, 8415, 1210, 1983, 27450, 1141, 12662, 26361, 29515, 4924, 5277, 1424, 488, 124, 132, 5266, 190, 1167, 488, 123, 1663, 1469, 10796, 1304, 20270, 1835, 488, 124, 132, 131, 126, 1167, 488, 124, 132, 131, 129, 1155, 1352, 1262, 19495, 1125, 1158, 11609, 1227, 2854, 488, 124, 132, 131, 125, 1469, 10796, 1304, 20270, 1175, 27122, 3904, 19680, 7542, 1170, 25985, 4023, 1686, 5878, 1424, 1352, 1262, 19495, 1125, 1158, 11609, 22572, 1197, 2324, 3913, 6707, 1764, 1186, 488, 124, 132, 131, 132, 1167, 488, 124, 132, 132, 123, 1469, 1170, 28562, 9687, 106, 1352, 1262, 19495, 1125, 1158, 7673, 174, 6494, 1125, 1282, 2776, 4657, 1186, 488, 124, 132, 131, 132, 1469, 1170, 28562, 9687, 106, 1352, 1262, 19495, 1125, 1158, 11609, 1597, 4034, 17290, 1366, 1186, 488, 124, 132, 131, 132, 1469, 1170, 28562, 9687, 106, 22672, 1304, 20270, 1186, 488, 124, 132, 131, 131, 1469, 1170, 28562, 9687, 106, 1352, 1262, 19495, 1125, 1158, 7673, 174, 6494, 1304, 20270, 1186, 488, 124, 132, 131, 131, 1469, 1170, 28562, 9687, 1167, 1186, 488, 124, 132, 132, 123, 1469, 14642, 2832, 106, 1352, 1262, 19495, 1125, 1158, 11609, 31104, 4657, 1186, 488, 124, 132, 132, 128, 1469, 1778, 1232, 1175, 1245, 10809, 1382, 1158, 12244, 1718, 20634, 1167, 16828, 5825, 1424, 1424, 29496, 1188, 1202, 1439, 2105, 2836, 24981, 4578, 17779, 2911, 8851, 1108, 1125, 1663, 1317, 7711, 2911, 8851, 1108, 1125, 1663, 1125, 1158, 1252, 3553, 1129, 3382, 2911, 8851, 1108, 1125, 1663, 1125, 1282, 2450, 28562, 2911, 8851, 1108, 1125, 1663, 1227, 1173, 10083, 14642, 2832, 2911, 8851, 1108, 1125, 1663, 1227, 9339, 4384, 13054, 2911, 8851, 1108, 1125, 1663, 1227, 1778, 1232, 5863, 23529, 488, 124, 132, 124, 126, 2911, 8851, 1108, 1125, 1663, 1125, 1282, 2235, 8415, 1210, 1983, 4101, 1456, 1494, 1141, 488, 124, 132, 123, 128, 2073, 1262, 19495, 1125, 1158, 11609, 1227, 2854, 1125, 7711, 8156, 1186, 3012, 488, 124, 132, 128, 131, 32001, 1424, 32000, 20036, 2911, 180, 1651, 30230, 7494, 31838, 5252, 1170, 488, 488, 125, 123, 3012, 488, 124, 132, 128, 131, 1188, 1202, 1439, 1175, 20270, 1496, 1299, 1189, 4981, 24981, 10034, 11493, 1357, 12242, 1370, 1317, 8536, 1125, 24526, 1108, 1125, 1663, 121, 3767, 3285, 1125, 1561, 9245, 1527, 28160, 1188, 1158, 1252, 3553, 13666, 1810, 1317, 28562, 1192, 7440, 1317, 1173, 10083, 14642, 24293, 1317, 9339, 27482, 1317, 1778, 1232, 13054, 1167, 1188, 1282, 2235, 8415, 1210, 1983, 2442, 8688, 4924, 1304, 20270, 12258, 2803, 8826, 24424, 3299, 5266, 190, 1469, 10796, 1304, 20270, 1835, 488, 124, 132, 131, 126, 1167, 488, 124, 132, 131, 129, 121, 1768, 1110, 27216, 1158, 11609, 1227, 2854, 488, 124, 132, 131, 125, 1469, 10796, 1304, 20270, 31839, 12634, 20096, 1107, 1170, 17065, 3904, 119, 1167, 3042, 3365, 1288, 6036, 1370, 1382, 2743, 1158, 17065, 5266, 1576, 1768, 1110, 1913, 1170, 12456, 1227, 8536, 2391, 1125, 1158, 11609, 1227, 2854, 488, 124, 132, 131, 129, 14231, 12498, 1124, 4096, 1424, 488, 124, 132, 130, 130, 120, 124, 132, 131, 129, 1257, 9687, 1252, 3553, 1129, 3382, 106, 488, 124, 132, 131, 129, 120, 124, 132, 132, 123, 1257, 28562, 9687, 106, 488, 124, 132, 132, 123, 120, 124, 132, 132, 126, 1257, 1173, 10083, 14642, 2832, 106, 488, 124, 132, 132, 126, 120, 124, 132, 132, 127, 1257, 9339, 4384, 5863, 1780, 9945, 488, 124, 132, 132, 127, 120, 124, 132, 132, 128, 1257, 1778, 1232, 9687, 106, 488, 124, 132, 132, 128, 120, 124, 132, 132, 129, 1257, 8415, 1210, 1983, 27450, 1141, 12662, 26361, 29515, 4924, 5277, 1424, 488, 124, 132, 5266, 190, 1167, 488, 123, 1663, 1469, 10796, 1304, 20270, 1835, 488, 124, 132, 131, 126, 1167, 488, 124, 132, 131, 129, 1155, 1352, 1262, 19495, 1125, 1158, 11609, 1227, 2854, 488, 124, 132, 131, 125, 1469, 10796, 1304, 20270, 1175, 27122, 3904, 19680, 7542, 1170, 25985, 4023, 1686, 5878, 1424, 1352, 1262, 19495, 1125, 1158, 11609, 22572, 1197, 2324, 3913, 6707, 1764, 1186, 488, 124, 132, 131, 132, 1167, 488, 124, 132, 132, 123, 1469, 1170, 28562, 9687, 106, 1352, 1262, 19495, 1125, 1158, 7673, 174, 6494, 1125, 1282, 2776, 4657, 1186, 488, 124, 132, 131, 132, 1469, 1170, 28562, 9687, 106, 1352, 1262, 19495, 1125, 1158, 11609, 1597, 4034, 17290, 1366, 1186, 488, 124, 132, 131, 132, 1469, 1170, 28562, 9687, 106, 22672, 1304, 20270, 1186, 488, 124, 132, 131, 131, 1469, 1170, 28562, 9687, 106, 1352, 1262, 19495, 1125, 1158, 7673, 174, 6494, 1304, 20270, 1186, 488, 124, 132, 131, 131, 1469, 1170, 28562, 9687, 1167, 1186, 488, 124, 132, 132, 123, 1469, 14642, 2832, 106, 1352, 1262, 19495, 1125, 1158, 11609, 31104, 4657, 1186, 488, 124, 132, 132, 128, 1469, 1778, 1232, 1175, 1245, 10809, 1382, 1158, 12244, 1718, 20634, 1167, 16828, 5825, 1424, 1424, 29496, 1188, 1202, 1439, 2105, 2836, 24981, 4578, 17779, 2911, 8851, 1108, 1125, 1663, 1317, 7711, 2911, 8851, 1108, 1125, 1663, 1125, 1158, 1252, 3553, 1129, 3382, 2911, 8851, 1108, 1125, 1663, 1125, 1282, 2450, 28562, 2911, 8851, 1108, 1125, 1663, 1227, 1173, 10083, 14642, 2832, 2911, 8851, 1108, 1125, 1663, 1227, 9339, 4384, 13054, 2911, 8851, 1108, 1125, 1663, 1227, 1778, 1232, 5863, 23529, 488, 124, 132, 124, 126, 2911, 8851, 1108, 1125, 1663, 1125, 1282, 2235, 8415, 1210, 1983, 4101, 1456, 1494, 1141, 488, 124, 132, 123, 128, 2073, 1262, 19495, 1125, 1158, 11609, 1227, 2854, 1125, 7711, 8156, 1186, 3012, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1651, 30230, 7494, 31838, 5252, 1170, 488, 488, 125, 123, 3012, 488, 124, 132, 128, 131, 1188, 1202, 1439, 1175, 20270, 1496, 1299, 1189, 4981, 24981, 10034, 11493, 1357, 12242, 1370, 1317, 8536, 1125, 24526, 1108, 1125, 1663, 121, 3767, 3285, 1125, 1561, 9245, 1527, 28160, 1188, 1158, 1252, 3553, 13666, 1810, 1317, 28562, 1192, 7440, 1317, 1173, 10083, 14642, 24293, 1317, 9339, 27482, 1317, 1778, 1232, 13054, 1167, 1188, 1282, 2235, 8415, 1210, 1983, 2442, 8688, 4924, 1304, 20270, 12258, 2803, 8826, 24424, 3299, 5266, 190, 1469, 10796, 1304, 20270, 1835, 488, 124, 132, 131, 126, 1167, 488, 124, 132, 131, 129, 121, 1768, 1110, 27216, 1158, 11609, 1227, 2854, 488, 124, 132, 131, 125, 1469, 10796, 1304, 20270, 31839, 12634, 20096, 1107, 1170, 17065, 3904, 119, 1167, 3042, 3365, 1288, 6036, 1370, 1382, 2743, 1158, 17065, 5266, 1576, 1768, 1110, 1913, 1170, 12456, 1227, 8536, 2391, 1125, 1158, 11609, 1227, 2854, 488, 124, 132, 131, 129, 14231, 12498, 1124, 4096, 1424, 488, 124, 132, 130, 130, 120, 124, 132, 131, 129, 1257, 9687, 1252, 3553, 1129, 3382, 106, 488, 124, 132, 131, 129, 120, 124, 132, 132, 123, 1257, 28562, 9687, 106, 488, 124, 132, 132, 123, 120, 124, 132, 132, 126, 1257, 1173, 10083, 14642, 2832, 106, 488, 124, 132, 132, 126, 120, 124, 132, 132, 127, 1257, 9339, 4384, 5863, 1780, 9945, 488, 124, 132, 132, 127, 120, 124, 132, 132, 128, 1257, 1778, 1232, 9687, 106, 488, 124, 132, 132, 128, 120, 124, 132, 132, 129, 1257, 8415, 1210, 1983, 27450, 1141, 12662, 26361, 29515, 4924, 5277, 1424, 488, 124, 132, 5266, 190, 1167, 488, 123, 1663, 1469, 10796, 1304, 20270, 1835, 488, 124, 132, 131, 126, 1167, 488, 124, 132, 131, 129, 1155, 1352, 1262, 19495, 1125, 1158, 11609, 1227, 2854, 488, 124, 132, 131, 125, 1469, 10796, 1304, 20270, 1175, 27122, 3904, 19680, 7542, 1170, 25985, 4023, 1686, 5878, 1424, 1352, 1262, 19495, 1125, 1158, 11609, 22572, 1197, 2324, 3913, 6707, 1764, 1186, 488, 124, 132, 131, 132, 1167, 488, 124, 132, 132, 123, 1469, 1170, 28562, 9687, 106, 1352, 1262, 19495, 1125, 1158, 7673, 174, 6494, 1125, 1282, 2776, 4657, 1186, 488, 124, 132, 131, 132, 1469, 1170, 28562, 9687, 106, 1352, 1262, 19495, 1125, 1158, 11609, 1597, 4034, 17290, 1366, 1186, 488, 124, 132, 131, 132, 1469, 1170, 28562, 9687, 106, 22672, 1304, 20270, 1186, 488, 124, 132, 131, 131, 1469, 1170, 28562, 9687, 106, 1352, 1262, 19495, 1125, 1158, 7673, 174, 6494, 1304, 20270, 1186, 488, 124, 132, 131, 131, 1469, 1170, 28562, 9687, 1167, 1186, 488, 124, 132, 132, 123, 1469, 14642, 2832, 106, 1352, 1262, 19495, 1125, 1158, 11609, 31104, 4657, 1186, 488, 124, 132, 132, 128, 1469, 1778, 1232, 1175, 1245, 10809, 1382, 1158, 12244, 1718, 20634, 1167, 16828, 5825, 1424, 1424, 29496, 1188, 1202, 1439, 2105, 2836, 24981, 4578, 17779, 2911, 8851, 1108, 1125, 1663, 1317, 7711, 2911, 8851, 1108, 1125, 1663, 1125, 1158, 1252, 3553, 1129, 3382, 2911, 8851, 1108, 1125, 1663, 1125, 1282, 2450, 28562, 2911, 8851, 1108, 1125, 1663, 1227, 1173, 10083, 14642, 2832, 2911, 8851, 1108, 1125, 1663, 1227, 9339, 4384, 13054, 2911, 8851, 1108, 1125, 1663, 1227, 1778, 1232, 5863, 23529, 488, 124, 132, 124, 126, 2911, 8851, 1108, 1125, 1663, 1125, 1282, 2235, 8415, 1210, 1983, 4101, 1456, 1494, 1141, 488, 124, 132, 123, 128, 2073, 1262, 19495, 1125, 1158, 11609, 1227, 2854, 1125, 7711, 8156, 1186, 3012, 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, 153, 1146, 3623, 253, 26428, 1292, 2086, 5252, 1170, 488, 125, 2875, 488, 124, 129, 130, 124, 1188, 2855, 1255, 186, 31301, 7497, 1167, 4541, 1170, 488, 488, 126, 123, 2921, 488, 124, 130, 126, 128, 1188, 14642, 24293, 1299, 1189, 12304, 1139, 1301, 12913, 1262, 14231, 1424, 153, 1146, 3623, 253, 26428, 1292, 186, 1110, 1913, 119, 1188, 4903, 13616, 1125, 1594, 15722, 15703, 2357, 1188, 20576, 1125, 14756, 5305, 1188, 14642, 24293, 2585, 1170, 24639, 9941, 9851, 186, 9285, 189, 1766, 186, 2435, 1110, 4208, 8694, 1207, 7790, 1177, 3324, 1525, 1125, 1158, 7577, 4123, 1314, 12258, 1110, 6349, 6403, 244, 1207, 13837, 1167, 1158, 20727, 3523, 1207, 15287, 1635, 1346, 2648, 1207, 8287, 11490, 1469, 1266, 8451, 172, 27244, 2504, 10958, 1783, 1706, 13153, 2086, 1167, 8449, 1158, 6325, 3603, 3672, 1281, 2075, 5305, 2290, 488, 25088, 11752, 1292, 2086, 1188, 30437, 29754, 1125, 14642, 2832, 12258, 1110, 2445, 6403, 244, 1170, 16877, 13753, 2290, 1170, 5159, 1793, 1125, 1271, 1356, 192, 1974, 16877, 1244, 488, 1293, 7531, 192, 243, 10764, 2036, 2814, 1174, 10190, 2914, 1110, 6013, 1303, 1188, 1816, 18318, 1469, 1170, 2477, 1199, 488, 2068, 1224, 2504, 3728, 6533, 9508, 12465, 244, 1256, 1170, 5797, 1234, 2323, 11872, 2487, 3031, 15430, 1119, 1440, 4755, 121, 1768, 3031, 2445, 1131, 1356, 192, 6116, 3833, 1167, 1125, 6431, 4134, 8370, 1373, 23478, 1527, 6230, 15923, 9305, 10190, 1469, 1207, 10417, 6646, 1125, 1594, 3391, 19108, 488, 9412, 10819, 1150, 3795, 29004, 488, 1293, 11204, 1532, 1204, 5045, 1333, 8370, 488, 124, 129, 132, 125, 119, 1527, 1110, 13551, 1188, 5518, 1197, 3285, 14098, 1125, 6325, 3603, 1125, 20727, 1167, 1125, 6431, 29206, 121, 2814, 20877, 1125, 1594, 1127, 16895, 8415, 172, 3867, 5043, 180, 1188, 11188, 119, 1256, 1540, 7170, 1170, 28679, 27546, 1237, 1129, 22794, 9064, 2435, 1110, 7545, 1125, 1170, 18051, 1313, 1561, 1270, 3693, 1186, 488, 124, 129, 132, 130, 119, 15893, 5464, 1125, 1440, 4755, 1188, 14642, 31329, 4511, 1816, 7793, 119, 1318, 5504, 3618, 1913, 11858, 1188, 1189, 7918, 1597, 5746, 1199, 1571, 31718, 1125, 30437, 8594, 11693, 1188, 1197, 4866, 2052, 7632, 12258, 1110, 13648, 1125, 5087, 15506, 2477, 1701, 1167, 21560, 1134, 1610, 1300, 4399, 8744, 16398, 1167, 1253, 189, 1506, 1953, 3523, 1170, 488, 10563, 1199, 1105, 2504, 17486, 4741, 12497, 120, 26106, 1125, 14642, 31329, 1653, 488, 124, 130, 123, 128, 119, 1527, 1110, 1913, 18640, 1188, 1158, 1270, 1369, 1125, 9261, 1125, 30437, 1125, 14642, 24293, 7041, 10453, 2419, 7352, 2423, 13787, 1125, 16619, 3130, 1154, 17285, 16184, 1186, 488, 124, 130, 124, 130, 119, 1527, 1110, 1913, 12688, 3151, 13787, 1125, 6325, 3603, 3620, 2914, 1110, 7723, 1303, 6952, 1561, 4541, 7745, 172, 2674, 24896, 3664, 18436, 1125, 12304, 1170, 14857, 9015, 1313, 1207, 2015, 1207, 1408, 3670, 20335, 7008, 2076, 1215, 4113, 8602, 4511, 1996, 5639, 1317, 2076, 13144, 1527, 1110, 1913, 2969, 192, 12304, 26901, 177, 1125, 3712, 14249, 1197, 12060, 1136, 2234, 26944, 1256, 1281, 17240, 2254, 1131, 1795, 20695, 26016, 7793, 11980, 1215, 1207, 8758, 2914, 3618, 10374, 11161, 119, 1188, 1816, 7793, 119, 1527, 1110, 10374, 18242, 14642, 24293, 1256, 1281, 4271, 1317, 6505, 1388, 10030, 1120, 1188, 24633, 119, 1527, 6230, 30730, 1188, 1158, 13677, 1119, 3725, 2750, 1823, 12520, 244, 1300, 1207, 28003, 1420, 1125, 6745, 1245, 5030, 119, 1527, 16225, 1299, 31775, 1317, 2151, 8086, 8753, 1186, 1996, 1125, 2658, 1189, 15560, 121, 8921, 1527, 1288, 2435, 26281, 1370, 1309, 1158, 8191, 1125, 1271, 3331, 6042, 3048, 1214, 2032, 3701, 1527, 1110, 19778, 1594, 1288, 1196, 192, 9851, 14201, 26428, 1292, 2086, 1186, 1170, 6591, 18479, 1313, 1207, 25180, 3051, 1125, 14642, 2832, 1167, 1283, 21463, 1256, 1116, 6416, 1187, 2067, 6482, 1167, 8082, 1346, 8478, 1199, 1207, 7298, 2914, 5391, 30062, 1768, 1110, 2442, 19778, 1313, 1561, 5865, 16810, 1189, 8650, 13677, 26839, 1357, 20188, 1715, 1370, 1300, 2183, 1207, 2905, 1125, 14642, 2832, 8370, 488, 124, 130, 124, 130, 119, 1527, 1110, 29172, 1207, 9297, 2205, 18643, 3027, 1283, 15934, 5824, 1594, 5773, 21495, 1132, 1309, 2435, 14857, 30437, 1125, 7311, 2982, 2442, 8652, 6019, 1125, 8536, 1125, 12304, 7151, 1369, 1227, 10973, 10676, 4379, 184, 1740, 3798, 1653, 488, 124, 130, 124, 131, 119, 1527, 1110, 1913, 7874, 178, 244, 1188, 1158, 11801, 13309, 488, 1125, 31282, 1838, 9232, 1215, 2482, 2333, 1186, 3888, 121, 4060, 3506, 15422, 1271, 17594, 10502, 1125, 5367, 8035, 1207, 2605, 30491, 1550, 3436, 29110, 10723, 1125, 14642, 24293, 1527, 6230, 10086, 1123, 1389, 1125, 1816, 21608, 1125, 4418, 1188, 1999, 1128, 10991, 1207, 2784, 11563, 1125, 1816, 7676, 119, 1357, 2435, 1110, 2445, 4021, 244, 1197, 12339, 1300, 27461, 1125, 9179, 13281, 1468, 1313, 1207, 1131, 1795, 193, 14279, 1768, 1110, 2445, 6403, 244, 1170, 5582, 27515, 1125, 7877, 1125, 488, 124, 130, 126, 124, 7745, 1105, 27270, 30541, 6271, 1173, 2960, 186, 1110, 13523, 1207, 17955, 2914, 1110, 1858, 11244, 1313, 1207, 2015, 1207, 1408, 26636, 1167, 1207, 1408, 31909, 1356, 3392, 1856, 3977, 1125, 1158, 1227, 2942, 1206, 1125, 3728, 3476, 1357, 13370, 1110, 31191, 7896, 17836, 1462, 244, 11488, 1167, 16828, 5825, 2093, 224, 24116, 1125, 15714, 1125, 14642, 2832, 1720, 1740, 1168, 1109, 17779, 1227, 11402, 3463, 176, 6298, 1720, 1740, 1168, 1109, 17779, 1227, 11402, 31549, 6298, 27914, 9892, 1188, 15714, 1125, 14642, 2832, 31894, 1125, 1158, 11801, 13309, 8156, 1186, 2875, 488, 124, 129, 130, 124, 8156, 1188, 2855, 1255, 186, 31301, 7497, 9317, 1186, 2921, 488, 124, 130, 126, 128, 9317, 1188, 14642, 2832, 9317, 1188, 488, 129, 129, 2165, 114, 32001, 1424, 32000, 20036, 1875, 1146, 3623, 253, 26428, 1292, 2086, 5252, 1170, 488, 125, 2875, 488, 124, 129, 130, 124, 1188, 2855, 1255, 186, 31301, 7497, 1167, 4541, 1170, 488, 488, 126, 123, 2921, 488, 124, 130, 126, 128, 1188, 14642, 24293, 1299, 1189, 12304, 1139, 1301, 12913, 1262, 14231, 1424, 153, 1146, 3623, 253, 26428, 1292, 186, 1110, 1913, 119, 1188, 4903, 13616, 1125, 1594, 15722, 15703, 2357, 1188, 20576, 1125, 14756, 5305, 1188, 14642, 24293, 2585, 1170, 24639, 9941, 9851, 186, 9285, 189, 1766, 186, 2435, 1110, 4208, 8694, 1207, 7790, 1177, 3324, 1525, 1125, 1158, 7577, 4123, 1314, 12258, 1110, 6349, 6403, 244, 1207, 13837, 1167, 1158, 20727, 3523, 1207, 15287, 1635, 1346, 2648, 1207, 8287, 11490, 1469, 1266, 8451, 172, 27244, 2504, 10958, 1783, 1706, 13153, 2086, 1167, 8449, 1158, 6325, 3603, 3672, 1281, 2075, 5305, 2290, 488, 25088, 11752, 1292, 2086, 1188, 30437, 29754, 1125, 14642, 2832, 12258, 1110, 2445, 6403, 244, 1170, 16877, 13753, 2290, 1170, 5159, 1793, 1125, 1271, 1356, 192, 1974, 16877, 1244, 488, 1293, 7531, 192, 243, 10764, 2036, 2814, 1174, 10190, 2914, 1110, 6013, 1303, 1188, 1816, 18318, 1469, 1170, 2477, 1199, 488, 2068, 1224, 2504, 3728, 6533, 9508, 12465, 244, 1256, 1170, 5797, 1234, 2323, 11872, 2487, 3031, 15430, 1119, 1440, 4755, 121, 1768, 3031, 2445, 1131, 1356, 192, 6116, 3833, 1167, 1125, 6431, 4134, 8370, 1373, 23478, 1527, 6230, 15923, 9305, 10190, 1469, 1207, 10417, 6646, 1125, 1594, 3391, 19108, 488, 9412, 10819, 1150, 3795, 29004, 488, 1293, 11204, 1532, 1204, 5045, 1333, 8370, 488, 124, 129, 132, 125, 119, 1527, 1110, 13551, 1188, 5518, 1197, 3285, 14098, 1125, 6325, 3603, 1125, 20727, 1167, 1125, 6431, 29206, 121, 2814, 20877, 1125, 1594, 1127, 16895, 8415, 172, 3867, 5043, 180, 1188, 11188, 119, 1256, 1540, 7170, 1170, 28679, 27546, 1237, 1129, 22794, 9064, 2435, 1110, 7545, 1125, 1170, 18051, 1313, 1561, 1270, 3693, 1186, 488, 124, 129, 132, 130, 119, 15893, 5464, 1125, 1440, 4755, 1188, 14642, 31329, 4511, 1816, 7793, 119, 1318, 5504, 3618, 1913, 11858, 1188, 1189, 7918, 1597, 5746, 1199, 1571, 31718, 1125, 30437, 8594, 11693, 1188, 1197, 4866, 2052, 7632, 12258, 1110, 13648, 1125, 5087, 15506, 2477, 1701, 1167, 21560, 1134, 1610, 1300, 4399, 8744, 16398, 1167, 1253, 189, 1506, 1953, 3523, 1170, 488, 10563, 1199, 1105, 2504, 17486, 4741, 12497, 120, 26106, 1125, 14642, 31329, 1653, 488, 124, 130, 123, 128, 119, 1527, 1110, 1913, 18640, 1188, 1158, 1270, 1369, 1125, 9261, 1125, 30437, 1125, 14642, 24293, 7041, 10453, 2419, 7352, 2423, 13787, 1125, 16619, 3130, 1154, 17285, 16184, 1186, 488, 124, 130, 124, 130, 119, 1527, 1110, 1913, 12688, 3151, 13787, 1125, 6325, 3603, 3620, 2914, 1110, 7723, 1303, 6952, 1561, 4541, 7745, 172, 2674, 24896, 3664, 18436, 1125, 12304, 1170, 14857, 9015, 1313, 1207, 2015, 1207, 1408, 3670, 20335, 7008, 2076, 1215, 4113, 8602, 4511, 1996, 5639, 1317, 2076, 13144, 1527, 1110, 1913, 2969, 192, 12304, 26901, 177, 1125, 3712, 14249, 1197, 12060, 1136, 2234, 26944, 1256, 1281, 17240, 2254, 1131, 1795, 20695, 26016, 7793, 11980, 1215, 1207, 8758, 2914, 3618, 10374, 11161, 119, 1188, 1816, 7793, 119, 1527, 1110, 10374, 18242, 14642, 24293, 1256, 1281, 4271, 1317, 6505, 1388, 10030, 1120, 1188, 24633, 119, 1527, 6230, 30730, 1188, 1158, 13677, 1119, 3725, 2750, 1823, 12520, 244, 1300, 1207, 28003, 1420, 1125, 6745, 1245, 5030, 119, 1527, 16225, 1299, 31775, 1317, 2151, 8086, 8753, 1186, 1996, 1125, 2658, 1189, 15560, 121, 8921, 1527, 1288, 2435, 26281, 1370, 1309, 1158, 8191, 1125, 1271, 3331, 6042, 3048, 1214, 2032, 3701, 1527, 1110, 19778, 1594, 1288, 1196, 192, 9851, 14201, 26428, 1292, 2086, 1186, 1170, 6591, 18479, 1313, 1207, 25180, 3051, 1125, 14642, 2832, 1167, 1283, 21463, 1256, 1116, 6416, 1187, 2067, 6482, 1167, 8082, 1346, 8478, 1199, 1207, 7298, 2914, 5391, 30062, 1768, 1110, 2442, 19778, 1313, 1561, 5865, 16810, 1189, 8650, 13677, 26839, 1357, 20188, 1715, 1370, 1300, 2183, 1207, 2905, 1125, 14642, 2832, 8370, 488, 124, 130, 124, 130, 119, 1527, 1110, 29172, 1207, 9297, 2205, 18643, 3027, 1283, 15934, 5824, 1594, 5773, 21495, 1132, 1309, 2435, 14857, 30437, 1125, 7311, 2982, 2442, 8652, 6019, 1125, 8536, 1125, 12304, 7151, 1369, 1227, 10973, 10676, 4379, 184, 1740, 3798, 1653, 488, 124, 130, 124, 131, 119, 1527, 1110, 1913, 7874, 178, 244, 1188, 1158, 11801, 13309, 488, 1125, 31282, 1838, 9232, 1215, 2482, 2333, 1186, 3888, 121, 4060, 3506, 15422, 1271, 17594, 10502, 1125, 5367, 8035, 1207, 2605, 30491, 1550, 3436, 29110, 10723, 1125, 14642, 24293, 1527, 6230, 10086, 1123, 1389, 1125, 1816, 21608, 1125, 4418, 1188, 1999, 1128, 10991, 1207, 2784, 11563, 1125, 1816, 7676, 119, 1357, 2435, 1110, 2445, 4021, 244, 1197, 12339, 1300, 27461, 1125, 9179, 13281, 1468, 1313, 1207, 1131, 1795, 193, 14279, 1768, 1110, 2445, 6403, 244, 1170, 5582, 27515, 1125, 7877, 1125, 488, 124, 130, 126, 124, 7745, 1105, 27270, 30541, 6271, 1173, 2960, 186, 1110, 13523, 1207, 17955, 2914, 1110, 1858, 11244, 1313, 1207, 2015, 1207, 1408, 26636, 1167, 1207, 1408, 31909, 1356, 3392, 1856, 3977, 1125, 1158, 1227, 2942, 1206, 1125, 3728, 3476, 1357, 13370, 1110, 31191, 7896, 17836, 1462, 244, 11488, 1167, 16828, 5825, 2093, 224, 24116, 1125, 15714, 1125, 14642, 2832, 1720, 1740, 1168, 1109, 17779, 1227, 11402, 3463, 176, 6298, 1720, 1740, 1168, 1109, 17779, 1227, 11402, 31549, 6298, 27914, 9892, 1188, 15714, 1125, 14642, 2832, 31894, 1125, 1158, 11801, 13309, 8156, 1186, 2875, 488, 124, 129, 130, 124, 8156, 1188, 2855, 1255, 186, 31301, 7497, 9317, 1186, 2921, 488, 124, 130, 126, 128, 9317, 1188, 14642, 2832, 9317, 1188, 488, 129, 129, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1146, 3623, 253, 26428, 1292, 2086, 5252, 1170, 488, 125, 2875, 488, 124, 129, 130, 124, 1188, 2855, 1255, 186, 31301, 7497, 1167, 4541, 1170, 488, 488, 126, 123, 2921, 488, 124, 130, 126, 128, 1188, 14642, 24293, 1299, 1189, 12304, 1139, 1301, 12913, 1262, 14231, 1424, 153, 1146, 3623, 253, 26428, 1292, 186, 1110, 1913, 119, 1188, 4903, 13616, 1125, 1594, 15722, 15703, 2357, 1188, 20576, 1125, 14756, 5305, 1188, 14642, 24293, 2585, 1170, 24639, 9941, 9851, 186, 9285, 189, 1766, 186, 2435, 1110, 4208, 8694, 1207, 7790, 1177, 3324, 1525, 1125, 1158, 7577, 4123, 1314, 12258, 1110, 6349, 6403, 244, 1207, 13837, 1167, 1158, 20727, 3523, 1207, 15287, 1635, 1346, 2648, 1207, 8287, 11490, 1469, 1266, 8451, 172, 27244, 2504, 10958, 1783, 1706, 13153, 2086, 1167, 8449, 1158, 6325, 3603, 3672, 1281, 2075, 5305, 2290, 488, 25088, 11752, 1292, 2086, 1188, 30437, 29754, 1125, 14642, 2832, 12258, 1110, 2445, 6403, 244, 1170, 16877, 13753, 2290, 1170, 5159, 1793, 1125, 1271, 1356, 192, 1974, 16877, 1244, 488, 1293, 7531, 192, 243, 10764, 2036, 2814, 1174, 10190, 2914, 1110, 6013, 1303, 1188, 1816, 18318, 1469, 1170, 2477, 1199, 488, 2068, 1224, 2504, 3728, 6533, 9508, 12465, 244, 1256, 1170, 5797, 1234, 2323, 11872, 2487, 3031, 15430, 1119, 1440, 4755, 121, 1768, 3031, 2445, 1131, 1356, 192, 6116, 3833, 1167, 1125, 6431, 4134, 8370, 1373, 23478, 1527, 6230, 15923, 9305, 10190, 1469, 1207, 10417, 6646, 1125, 1594, 3391, 19108, 488, 9412, 10819, 1150, 3795, 29004, 488, 1293, 11204, 1532, 1204, 5045, 1333, 8370, 488, 124, 129, 132, 125, 119, 1527, 1110, 13551, 1188, 5518, 1197, 3285, 14098, 1125, 6325, 3603, 1125, 20727, 1167, 1125, 6431, 29206, 121, 2814, 20877, 1125, 1594, 1127, 16895, 8415, 172, 3867, 5043, 180, 1188, 11188, 119, 1256, 1540, 7170, 1170, 28679, 27546, 1237, 1129, 22794, 9064, 2435, 1110, 7545, 1125, 1170, 18051, 1313, 1561, 1270, 3693, 1186, 488, 124, 129, 132, 130, 119, 15893, 5464, 1125, 1440, 4755, 1188, 14642, 31329, 4511, 1816, 7793, 119, 1318, 5504, 3618, 1913, 11858, 1188, 1189, 7918, 1597, 5746, 1199, 1571, 31718, 1125, 30437, 8594, 11693, 1188, 1197, 4866, 2052, 7632, 12258, 1110, 13648, 1125, 5087, 15506, 2477, 1701, 1167, 21560, 1134, 1610, 1300, 4399, 8744, 16398, 1167, 1253, 189, 1506, 1953, 3523, 1170, 488, 10563, 1199, 1105, 2504, 17486, 4741, 12497, 120, 26106, 1125, 14642, 31329, 1653, 488, 124, 130, 123, 128, 119, 1527, 1110, 1913, 18640, 1188, 1158, 1270, 1369, 1125, 9261, 1125, 30437, 1125, 14642, 24293, 7041, 10453, 2419, 7352, 2423, 13787, 1125, 16619, 3130, 1154, 17285, 16184, 1186, 488, 124, 130, 124, 130, 119, 1527, 1110, 1913, 12688, 3151, 13787, 1125, 6325, 3603, 3620, 2914, 1110, 7723, 1303, 6952, 1561, 4541, 7745, 172, 2674, 24896, 3664, 18436, 1125, 12304, 1170, 14857, 9015, 1313, 1207, 2015, 1207, 1408, 3670, 20335, 7008, 2076, 1215, 4113, 8602, 4511, 1996, 5639, 1317, 2076, 13144, 1527, 1110, 1913, 2969, 192, 12304, 26901, 177, 1125, 3712, 14249, 1197, 12060, 1136, 2234, 26944, 1256, 1281, 17240, 2254, 1131, 1795, 20695, 26016, 7793, 11980, 1215, 1207, 8758, 2914, 3618, 10374, 11161, 119, 1188, 1816, 7793, 119, 1527, 1110, 10374, 18242, 14642, 24293, 1256, 1281, 4271, 1317, 6505, 1388, 10030, 1120, 1188, 24633, 119, 1527, 6230, 30730, 1188, 1158, 13677, 1119, 3725, 2750, 1823, 12520, 244, 1300, 1207, 28003, 1420, 1125, 6745, 1245, 5030, 119, 1527, 16225, 1299, 31775, 1317, 2151, 8086, 8753, 1186, 1996, 1125, 2658, 1189, 15560, 121, 8921, 1527, 1288, 2435, 26281, 1370, 1309, 1158, 8191, 1125, 1271, 3331, 6042, 3048, 1214, 2032, 3701, 1527, 1110, 19778, 1594, 1288, 1196, 192, 9851, 14201, 26428, 1292, 2086, 1186, 1170, 6591, 18479, 1313, 1207, 25180, 3051, 1125, 14642, 2832, 1167, 1283, 21463, 1256, 1116, 6416, 1187, 2067, 6482, 1167, 8082, 1346, 8478, 1199, 1207, 7298, 2914, 5391, 30062, 1768, 1110, 2442, 19778, 1313, 1561, 5865, 16810, 1189, 8650, 13677, 26839, 1357, 20188, 1715, 1370, 1300, 2183, 1207, 2905, 1125, 14642, 2832, 8370, 488, 124, 130, 124, 130, 119, 1527, 1110, 29172, 1207, 9297, 2205, 18643, 3027, 1283, 15934, 5824, 1594, 5773, 21495, 1132, 1309, 2435, 14857, 30437, 1125, 7311, 2982, 2442, 8652, 6019, 1125, 8536, 1125, 12304, 7151, 1369, 1227, 10973, 10676, 4379, 184, 1740, 3798, 1653, 488, 124, 130, 124, 131, 119, 1527, 1110, 1913, 7874, 178, 244, 1188, 1158, 11801, 13309, 488, 1125, 31282, 1838, 9232, 1215, 2482, 2333, 1186, 3888, 121, 4060, 3506, 15422, 1271, 17594, 10502, 1125, 5367, 8035, 1207, 2605, 30491, 1550, 3436, 29110, 10723, 1125, 14642, 24293, 1527, 6230, 10086, 1123, 1389, 1125, 1816, 21608, 1125, 4418, 1188, 1999, 1128, 10991, 1207, 2784, 11563, 1125, 1816, 7676, 119, 1357, 2435, 1110, 2445, 4021, 244, 1197, 12339, 1300, 27461, 1125, 9179, 13281, 1468, 1313, 1207, 1131, 1795, 193, 14279, 1768, 1110, 2445, 6403, 244, 1170, 5582, 27515, 1125, 7877, 1125, 488, 124, 130, 126, 124, 7745, 1105, 27270, 30541, 6271, 1173, 2960, 186, 1110, 13523, 1207, 17955, 2914, 1110, 1858, 11244, 1313, 1207, 2015, 1207, 1408, 26636, 1167, 1207, 1408, 31909, 1356, 3392, 1856, 3977, 1125, 1158, 1227, 2942, 1206, 1125, 3728, 3476, 1357, 13370, 1110, 31191, 7896, 17836, 1462, 244, 11488, 1167, 16828, 5825, 2093, 224, 24116, 1125, 15714, 1125, 14642, 2832, 1720, 1740, 1168, 1109, 17779, 1227, 11402, 3463, 176, 6298, 1720, 1740, 1168, 1109, 17779, 1227, 11402, 31549, 6298, 27914, 9892, 1188, 15714, 1125, 14642, 2832, 31894, 1125, 1158, 11801, 13309, 8156, 1186, 2875, 488, 124, 129, 130, 124, 8156, 1188, 2855, 1255, 186, 31301, 7497, 9317, 1186, 2921, 488, 124, 130, 126, 128, 9317, 1188, 14642, 2832, 9317, 1188, 488, 129, 129, 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, 1424, 141, 1156, 284, 1507, 9580, 180, 288, 1997, 1620, 119, 2072, 9918, 1215, 1594, 1874, 1185, 5597, 4160, 25245, 7478, 1222, 1231, 1591, 8665, 1222, 1231, 5088, 1153, 116, 1997, 1620, 24051, 1188, 1325, 1140, 1210, 1334, 1170, 488, 124, 1107, 2822, 488, 124, 130, 129, 129, 1167, 4541, 1188, 1202, 3074, 1277, 1170, 488, 125, 124, 2584, 488, 124, 131, 127, 125, 116, 1299, 1189, 28619, 4819, 1189, 11515, 1277, 1167, 1189, 4501, 12671, 1138, 2562, 2035, 26352, 2502, 1281, 3700, 1888, 1125, 2435, 1856, 1170, 3151, 8328, 1227, 20732, 4371, 1125, 1202, 3074, 1277, 19883, 1110, 10193, 1909, 14250, 1170, 488, 124, 1107, 2749, 488, 124, 131, 124, 124, 1496, 1256, 1158, 5735, 24249, 1527, 1110, 19680, 1189, 6315, 18756, 14231, 1424, 2812, 1620, 1110, 1844, 1197, 8787, 1125, 20727, 1167, 1125, 3090, 1188, 1202, 3074, 1277, 2567, 1125, 1281, 9331, 5824, 24161, 1188, 1158, 29158, 3365, 1110, 6403, 1303, 1469, 6389, 4223, 244, 1352, 1307, 2495, 1856, 21794, 9357, 1768, 1110, 1913, 1189, 1400, 16889, 9293, 1136, 1125, 1158, 7585, 1125, 24185, 1516, 3365, 1110, 9918, 1188, 1202, 3074, 3955, 1167, 1909, 7860, 3647, 2984, 1275, 3804, 1129, 16307, 1816, 6264, 7190, 1768, 9526, 180, 1370, 1996, 1207, 14766, 1125, 3032, 1876, 186, 1549, 1167, 1125, 15243, 16871, 9905, 1997, 1620, 1175, 27122, 4872, 20296, 1835, 5924, 1496, 1167, 1317, 10729, 3031, 2205, 15199, 27782, 7749, 1215, 1207, 3647, 2984, 1125, 10290, 1325, 2288, 1657, 1653, 488, 124, 131, 126, 125, 119, 1527, 1110, 29693, 1158, 3453, 1279, 9274, 3615, 1212, 4438, 1125, 25660, 4538, 116, 1125, 1158, 1173, 17024, 7138, 1186, 9225, 17098, 1125, 10290, 1325, 2288, 1659, 1215, 1207, 13012, 1227, 20732, 4371, 1125, 1202, 3074, 1277, 1388, 2700, 1232, 17608, 1188, 1158, 2768, 1227, 20732, 4371, 1167, 1125, 12547, 10070, 1304, 2601, 1277, 1125, 1202, 3074, 3955, 1527, 1110, 3294, 14823, 23699, 24885, 13052, 1125, 1158, 3734, 1167, 1110, 1913, 3042, 2130, 8770, 1170, 14514, 1170, 1408, 6264, 1129, 1313, 1158, 7585, 1125, 1202, 3074, 1277, 1188, 1816, 18318, 121, 1768, 1110, 2445, 5617, 3171, 29222, 1125, 20438, 1125, 1158, 7585, 29884, 1856, 16827, 1215, 1909, 25569, 1297, 20546, 3257, 1123, 1125, 1594, 3788, 1797, 1160, 5416, 13619, 1527, 1110, 3748, 3134, 1188, 30854, 1207, 15838, 1197, 5443, 11314, 1285, 1856, 1909, 17028, 1162, 1108, 16376, 16180, 1288, 192, 2543, 177, 2506, 2322, 30456, 1562, 1108, 179, 2589, 1175, 1554, 26470, 1125, 1158, 4446, 1197, 5944, 1289, 1312, 1576, 1768, 3031, 1189, 31891, 11287, 16740, 1256, 1207, 5944, 1289, 1312, 1167, 8135, 30730, 1188, 1964, 4764, 134, 1527, 1299, 10028, 6606, 2335, 30683, 1125, 1947, 6111, 2569, 7138, 22257, 3125, 488, 23178, 1105, 6885, 1158, 1408, 17874, 1357, 4866, 2038, 1299, 12907, 1158, 11292, 1230, 1233, 2562, 184, 1462, 8471, 2360, 1145, 3296, 1768, 1110, 2072, 13644, 1189, 1858, 1797, 119, 1518, 26898, 1205, 4140, 8399, 11493, 1186, 488, 124, 131, 123, 123, 119, 1167, 1909, 17028, 1430, 1226, 8097, 1130, 1171, 3225, 13613, 1154, 6581, 1129, 1909, 12339, 1256, 1207, 5944, 1289, 1312, 1127, 10557, 1125, 23566, 1376, 8370, 488, 124, 131, 125, 126, 120, 125, 127, 119, 1527, 1110, 1913, 1189, 1197, 488, 128, 123, 3647, 14814, 1357, 2004, 13644, 1318, 23048, 1300, 1318, 1713, 1206, 12412, 2333, 6660, 5149, 1333, 1256, 1170, 1352, 2078, 183, 239, 4802, 1120, 2021, 1518, 26206, 1243, 2495, 26887, 1109, 24890, 13459, 20544, 11052, 1424, 1748, 1482, 7213, 106, 10397, 4058, 17994, 7364, 5825, 1424, 1424, 1424, 2093, 2700, 1482, 7213, 1574, 7478, 1354, 1125, 1158, 4927, 7808, 1960, 8156, 1186, 2822, 488, 124, 130, 129, 129, 8156, 1313, 1158, 3734, 1125, 9161, 25756, 196, 1352, 1626, 8156, 1313, 1170, 22669, 1125, 1233, 2562, 1860, 9317, 1186, 2584, 488, 124, 131, 127, 125, 9317, 1188, 1202, 3074, 1277, 9317, 1313, 1170, 22669, 1125, 1233, 2562, 1860, 9317, 1188, 488, 130, 129, 2165, 32001, 1424, 32000, 20036, 2056, 1156, 284, 1507, 9580, 180, 288, 1997, 1620, 119, 2072, 9918, 1215, 1594, 1874, 1185, 5597, 4160, 25245, 7478, 1222, 1231, 1591, 8665, 1222, 1231, 5088, 1153, 116, 1997, 1620, 24051, 1188, 1325, 1140, 1210, 1334, 1170, 488, 124, 1107, 2822, 488, 124, 130, 129, 129, 1167, 4541, 1188, 1202, 3074, 1277, 1170, 488, 125, 124, 2584, 488, 124, 131, 127, 125, 116, 1299, 1189, 28619, 4819, 1189, 11515, 1277, 1167, 1189, 4501, 12671, 1138, 2562, 2035, 26352, 2502, 1281, 3700, 1888, 1125, 2435, 1856, 1170, 3151, 8328, 1227, 20732, 4371, 1125, 1202, 3074, 1277, 19883, 1110, 10193, 1909, 14250, 1170, 488, 124, 1107, 2749, 488, 124, 131, 124, 124, 1496, 1256, 1158, 5735, 24249, 1527, 1110, 19680, 1189, 6315, 18756, 14231, 1424, 2812, 1620, 1110, 1844, 1197, 8787, 1125, 20727, 1167, 1125, 3090, 1188, 1202, 3074, 1277, 2567, 1125, 1281, 9331, 5824, 24161, 1188, 1158, 29158, 3365, 1110, 6403, 1303, 1469, 6389, 4223, 244, 1352, 1307, 2495, 1856, 21794, 9357, 1768, 1110, 1913, 1189, 1400, 16889, 9293, 1136, 1125, 1158, 7585, 1125, 24185, 1516, 3365, 1110, 9918, 1188, 1202, 3074, 3955, 1167, 1909, 7860, 3647, 2984, 1275, 3804, 1129, 16307, 1816, 6264, 7190, 1768, 9526, 180, 1370, 1996, 1207, 14766, 1125, 3032, 1876, 186, 1549, 1167, 1125, 15243, 16871, 9905, 1997, 1620, 1175, 27122, 4872, 20296, 1835, 5924, 1496, 1167, 1317, 10729, 3031, 2205, 15199, 27782, 7749, 1215, 1207, 3647, 2984, 1125, 10290, 1325, 2288, 1657, 1653, 488, 124, 131, 126, 125, 119, 1527, 1110, 29693, 1158, 3453, 1279, 9274, 3615, 1212, 4438, 1125, 25660, 4538, 116, 1125, 1158, 1173, 17024, 7138, 1186, 9225, 17098, 1125, 10290, 1325, 2288, 1659, 1215, 1207, 13012, 1227, 20732, 4371, 1125, 1202, 3074, 1277, 1388, 2700, 1232, 17608, 1188, 1158, 2768, 1227, 20732, 4371, 1167, 1125, 12547, 10070, 1304, 2601, 1277, 1125, 1202, 3074, 3955, 1527, 1110, 3294, 14823, 23699, 24885, 13052, 1125, 1158, 3734, 1167, 1110, 1913, 3042, 2130, 8770, 1170, 14514, 1170, 1408, 6264, 1129, 1313, 1158, 7585, 1125, 1202, 3074, 1277, 1188, 1816, 18318, 121, 1768, 1110, 2445, 5617, 3171, 29222, 1125, 20438, 1125, 1158, 7585, 29884, 1856, 16827, 1215, 1909, 25569, 1297, 20546, 3257, 1123, 1125, 1594, 3788, 1797, 1160, 5416, 13619, 1527, 1110, 3748, 3134, 1188, 30854, 1207, 15838, 1197, 5443, 11314, 1285, 1856, 1909, 17028, 1162, 1108, 16376, 16180, 1288, 192, 2543, 177, 2506, 2322, 30456, 1562, 1108, 179, 2589, 1175, 1554, 26470, 1125, 1158, 4446, 1197, 5944, 1289, 1312, 1576, 1768, 3031, 1189, 31891, 11287, 16740, 1256, 1207, 5944, 1289, 1312, 1167, 8135, 30730, 1188, 1964, 4764, 134, 1527, 1299, 10028, 6606, 2335, 30683, 1125, 1947, 6111, 2569, 7138, 22257, 3125, 488, 23178, 1105, 6885, 1158, 1408, 17874, 1357, 4866, 2038, 1299, 12907, 1158, 11292, 1230, 1233, 2562, 184, 1462, 8471, 2360, 1145, 3296, 1768, 1110, 2072, 13644, 1189, 1858, 1797, 119, 1518, 26898, 1205, 4140, 8399, 11493, 1186, 488, 124, 131, 123, 123, 119, 1167, 1909, 17028, 1430, 1226, 8097, 1130, 1171, 3225, 13613, 1154, 6581, 1129, 1909, 12339, 1256, 1207, 5944, 1289, 1312, 1127, 10557, 1125, 23566, 1376, 8370, 488, 124, 131, 125, 126, 120, 125, 127, 119, 1527, 1110, 1913, 1189, 1197, 488, 128, 123, 3647, 14814, 1357, 2004, 13644, 1318, 23048, 1300, 1318, 1713, 1206, 12412, 2333, 6660, 5149, 1333, 1256, 1170, 1352, 2078, 183, 239, 4802, 1120, 2021, 1518, 26206, 1243, 2495, 26887, 1109, 24890, 13459, 20544, 11052, 1424, 1748, 1482, 7213, 106, 10397, 4058, 17994, 7364, 5825, 1424, 1424, 1424, 2093, 2700, 1482, 7213, 1574, 7478, 1354, 1125, 1158, 4927, 7808, 1960, 8156, 1186, 2822, 488, 124, 130, 129, 129, 8156, 1313, 1158, 3734, 1125, 9161, 25756, 196, 1352, 1626, 8156, 1313, 1170, 22669, 1125, 1233, 2562, 1860, 9317, 1186, 2584, 488, 124, 131, 127, 125, 9317, 1188, 1202, 3074, 1277, 9317, 1313, 1170, 22669, 1125, 1233, 2562, 1860, 9317, 1188, 488, 130, 129, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1156, 284, 1507, 9580, 180, 288, 1997, 1620, 119, 2072, 9918, 1215, 1594, 1874, 1185, 5597, 4160, 25245, 7478, 1222, 1231, 1591, 8665, 1222, 1231, 5088, 1153, 116, 1997, 1620, 24051, 1188, 1325, 1140, 1210, 1334, 1170, 488, 124, 1107, 2822, 488, 124, 130, 129, 129, 1167, 4541, 1188, 1202, 3074, 1277, 1170, 488, 125, 124, 2584, 488, 124, 131, 127, 125, 116, 1299, 1189, 28619, 4819, 1189, 11515, 1277, 1167, 1189, 4501, 12671, 1138, 2562, 2035, 26352, 2502, 1281, 3700, 1888, 1125, 2435, 1856, 1170, 3151, 8328, 1227, 20732, 4371, 1125, 1202, 3074, 1277, 19883, 1110, 10193, 1909, 14250, 1170, 488, 124, 1107, 2749, 488, 124, 131, 124, 124, 1496, 1256, 1158, 5735, 24249, 1527, 1110, 19680, 1189, 6315, 18756, 14231, 1424, 2812, 1620, 1110, 1844, 1197, 8787, 1125, 20727, 1167, 1125, 3090, 1188, 1202, 3074, 1277, 2567, 1125, 1281, 9331, 5824, 24161, 1188, 1158, 29158, 3365, 1110, 6403, 1303, 1469, 6389, 4223, 244, 1352, 1307, 2495, 1856, 21794, 9357, 1768, 1110, 1913, 1189, 1400, 16889, 9293, 1136, 1125, 1158, 7585, 1125, 24185, 1516, 3365, 1110, 9918, 1188, 1202, 3074, 3955, 1167, 1909, 7860, 3647, 2984, 1275, 3804, 1129, 16307, 1816, 6264, 7190, 1768, 9526, 180, 1370, 1996, 1207, 14766, 1125, 3032, 1876, 186, 1549, 1167, 1125, 15243, 16871, 9905, 1997, 1620, 1175, 27122, 4872, 20296, 1835, 5924, 1496, 1167, 1317, 10729, 3031, 2205, 15199, 27782, 7749, 1215, 1207, 3647, 2984, 1125, 10290, 1325, 2288, 1657, 1653, 488, 124, 131, 126, 125, 119, 1527, 1110, 29693, 1158, 3453, 1279, 9274, 3615, 1212, 4438, 1125, 25660, 4538, 116, 1125, 1158, 1173, 17024, 7138, 1186, 9225, 17098, 1125, 10290, 1325, 2288, 1659, 1215, 1207, 13012, 1227, 20732, 4371, 1125, 1202, 3074, 1277, 1388, 2700, 1232, 17608, 1188, 1158, 2768, 1227, 20732, 4371, 1167, 1125, 12547, 10070, 1304, 2601, 1277, 1125, 1202, 3074, 3955, 1527, 1110, 3294, 14823, 23699, 24885, 13052, 1125, 1158, 3734, 1167, 1110, 1913, 3042, 2130, 8770, 1170, 14514, 1170, 1408, 6264, 1129, 1313, 1158, 7585, 1125, 1202, 3074, 1277, 1188, 1816, 18318, 121, 1768, 1110, 2445, 5617, 3171, 29222, 1125, 20438, 1125, 1158, 7585, 29884, 1856, 16827, 1215, 1909, 25569, 1297, 20546, 3257, 1123, 1125, 1594, 3788, 1797, 1160, 5416, 13619, 1527, 1110, 3748, 3134, 1188, 30854, 1207, 15838, 1197, 5443, 11314, 1285, 1856, 1909, 17028, 1162, 1108, 16376, 16180, 1288, 192, 2543, 177, 2506, 2322, 30456, 1562, 1108, 179, 2589, 1175, 1554, 26470, 1125, 1158, 4446, 1197, 5944, 1289, 1312, 1576, 1768, 3031, 1189, 31891, 11287, 16740, 1256, 1207, 5944, 1289, 1312, 1167, 8135, 30730, 1188, 1964, 4764, 134, 1527, 1299, 10028, 6606, 2335, 30683, 1125, 1947, 6111, 2569, 7138, 22257, 3125, 488, 23178, 1105, 6885, 1158, 1408, 17874, 1357, 4866, 2038, 1299, 12907, 1158, 11292, 1230, 1233, 2562, 184, 1462, 8471, 2360, 1145, 3296, 1768, 1110, 2072, 13644, 1189, 1858, 1797, 119, 1518, 26898, 1205, 4140, 8399, 11493, 1186, 488, 124, 131, 123, 123, 119, 1167, 1909, 17028, 1430, 1226, 8097, 1130, 1171, 3225, 13613, 1154, 6581, 1129, 1909, 12339, 1256, 1207, 5944, 1289, 1312, 1127, 10557, 1125, 23566, 1376, 8370, 488, 124, 131, 125, 126, 120, 125, 127, 119, 1527, 1110, 1913, 1189, 1197, 488, 128, 123, 3647, 14814, 1357, 2004, 13644, 1318, 23048, 1300, 1318, 1713, 1206, 12412, 2333, 6660, 5149, 1333, 1256, 1170, 1352, 2078, 183, 239, 4802, 1120, 2021, 1518, 26206, 1243, 2495, 26887, 1109, 24890, 13459, 20544, 11052, 1424, 1748, 1482, 7213, 106, 10397, 4058, 17994, 7364, 5825, 1424, 1424, 1424, 2093, 2700, 1482, 7213, 1574, 7478, 1354, 1125, 1158, 4927, 7808, 1960, 8156, 1186, 2822, 488, 124, 130, 129, 129, 8156, 1313, 1158, 3734, 1125, 9161, 25756, 196, 1352, 1626, 8156, 1313, 1170, 22669, 1125, 1233, 2562, 1860, 9317, 1186, 2584, 488, 124, 131, 127, 125, 9317, 1188, 1202, 3074, 1277, 9317, 1313, 1170, 22669, 1125, 1233, 2562, 1860, 9317, 1188, 488, 130, 129, 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, 148, 1119, 11089, 2091, 23369, 1857, 184, 1629, 1299, 1189, 12354, 1124, 12001, 1189, 24190, 1125, 9452, 1167, 1189, 25081, 14898, 5252, 1170, 488, 124, 126, 3201, 488, 124, 132, 123, 126, 1188, 18651, 14540, 10914, 6396, 9971, 1227, 6455, 116, 1167, 4541, 1170, 488, 124, 128, 3012, 488, 124, 132, 131, 132, 1188, 20024, 30971, 19394, 4023, 141, 11741, 2093, 148, 1119, 23369, 1857, 184, 1629, 8718, 1313, 22535, 1227, 9452, 1856, 1691, 1836, 1188, 1158, 1622, 1197, 4092, 488, 124, 132, 125, 123, 119, 2648, 7354, 1215, 1158, 3011, 12354, 1124, 23767, 1768, 9900, 3747, 1469, 10676, 11598, 1415, 1167, 23479, 1518, 1404, 1810, 1167, 7354, 24190, 1125, 3399, 1690, 3672, 1158, 6545, 1256, 1170, 2803, 1227, 21564, 1125, 17289, 3292, 14898, 14023, 6417, 4134, 24084, 12928, 7771, 11129, 21469, 1233, 24065, 1173, 9414, 3466, 7838, 106, 488, 124, 132, 125, 132, 1257, 16586, 180, 1226, 12409, 1175, 22768, 1813, 1167, 21076, 1260, 488, 124, 132, 126, 125, 1257, 13169, 2499, 23614, 1108, 1125, 27359, 2544, 1208, 4880, 1258, 1272, 1260, 488, 124, 132, 126, 125, 1257, 11188, 18364, 1125, 27359, 2544, 1208, 4880, 1258, 1272, 1260, 488, 124, 132, 126, 126, 1257, 1165, 3923, 4830, 1147, 1135, 1266, 1182, 1125, 9193, 11109, 190, 18993, 3409, 1260, 488, 124, 132, 126, 126, 1257, 1352, 17737, 488, 124, 126, 5587, 1164, 2375, 1135, 1545, 1187, 1148, 15803, 116, 1125, 10676, 11598, 1415, 18993, 3409, 1260, 488, 124, 132, 126, 126, 1257, 1548, 17943, 8243, 17837, 17298, 17595, 2610, 116, 1125, 14733, 18969, 1104, 17416, 1213, 4880, 1258, 1272, 1260, 488, 124, 132, 126, 126, 1257, 1410, 10289, 18349, 1764, 1125, 10676, 11598, 1415, 18993, 3409, 1260, 488, 124, 132, 126, 127, 1257, 20437, 11400, 2165, 7890, 1263, 27798, 116, 1125, 10676, 11598, 1415, 4880, 1258, 1272, 1260, 488, 124, 132, 126, 128, 1257, 6767, 13426, 7990, 1369, 1125, 8980, 25450, 1488, 1175, 2865, 1538, 5844, 1260, 488, 124, 132, 126, 131, 1257, 1202, 5688, 18755, 1231, 12412, 1276, 3994, 3187, 1134, 1284, 1167, 1808, 10691, 28287, 1175, 2865, 1538, 5844, 1260, 488, 124, 132, 126, 132, 1257, 1787, 8413, 1104, 1125, 27359, 2544, 1208, 11759, 3833, 1260, 488, 124, 132, 126, 131, 1257, 5343, 1248, 6561, 1125, 10676, 11598, 1415, 106, 488, 124, 132, 126, 132, 1257, 1548, 1115, 1231, 1110, 1197, 1110, 3045, 17298, 21476, 18683, 1325, 1972, 116, 1304, 4650, 14283, 14970, 3561, 21541, 3190, 11247, 25029, 17936, 8980, 25450, 1488, 1167, 23479, 1518, 1404, 172, 18993, 3409, 1260, 488, 124, 132, 127, 123, 1257, 1653, 15173, 3665, 2892, 5587, 30206, 25567, 1198, 1570, 4495, 12412, 1276, 3994, 3187, 1134, 1284, 1175, 2865, 1538, 5844, 1260, 488, 124, 132, 127, 123, 1257, 20461, 11410, 1175, 1568, 4521, 1167, 23661, 1260, 488, 124, 132, 127, 124, 1257, 11868, 1857, 19263, 1190, 1125, 5450, 18970, 18993, 3409, 1260, 488, 124, 132, 127, 124, 1257, 27091, 1226, 25359, 1580, 1125, 15065, 1479, 9599, 18439, 1972, 18993, 3409, 1260, 488, 124, 132, 127, 124, 1257, 488, 127, 125, 1163, 5182, 1125, 15065, 1479, 9599, 18439, 1972, 1167, 1209, 1119, 23369, 1857, 184, 1629, 18993, 3409, 1260, 488, 124, 132, 127, 126, 1257, 2324, 1679, 2722, 1516, 1201, 1125, 8128, 15156, 18993, 3409, 1260, 488, 124, 132, 127, 126, 1257, 1643, 1233, 1514, 1415, 1227, 8008, 5587, 4505, 1325, 1371, 9099, 1427, 116, 1125, 15065, 1479, 9599, 18439, 1972, 18993, 3409, 1260, 488, 124, 132, 127, 127, 1257, 13455, 25048, 13610, 1125, 5450, 18970, 18993, 3409, 1260, 488, 124, 132, 128, 123, 1257, 1548, 28756, 1125, 6141, 17298, 12620, 1108, 11283, 1206, 116, 1125, 8128, 15156, 106, 488, 124, 132, 129, 123, 1257, 1539, 2139, 1186, 18454, 2163, 7933, 1145, 1427, 1147, 18454, 1265, 116, 1125, 1209, 1119, 23369, 1857, 184, 1629, 18993, 3409, 119, 23661, 1718, 28119, 1109, 7683, 24281, 1416, 6897, 5702, 1424, 1350, 2865, 2289, 488, 124, 132, 126, 132, 1257, 30246, 1227, 6005, 23661, 14317, 1256, 1202, 5688, 18755, 1231, 4713, 7775, 1430, 1424, 1350, 2865, 2289, 488, 124, 132, 126, 132, 1257, 30246, 1227, 6005, 23661, 14317, 1256, 1643, 20105, 1217, 1378, 1175, 29892, 1718, 20634, 1167, 16828, 5825, 2093, 24074, 1836, 14898, 1125, 9452, 5968, 1790, 1793, 14898, 24425, 1538, 29069, 14898, 1125, 9452, 8156, 1186, 3201, 488, 124, 132, 123, 126, 8156, 1188, 18651, 14540, 10914, 9317, 1186, 3012, 488, 124, 132, 131, 132, 9317, 1188, 20024, 9317, 1188, 488, 131, 128, 2165, 3052, 22321, 1227, 6005, 23661, 14317, 5526, 24116, 1125, 2168, 21026, 9168, 3835, 2724, 7621, 116, 32001, 1424, 32000, 20036, 2902, 1119, 11089, 2091, 23369, 1857, 184, 1629, 1299, 1189, 12354, 1124, 12001, 1189, 24190, 1125, 9452, 1167, 1189, 25081, 14898, 5252, 1170, 488, 124, 126, 3201, 488, 124, 132, 123, 126, 1188, 18651, 14540, 10914, 6396, 9971, 1227, 6455, 116, 1167, 4541, 1170, 488, 124, 128, 3012, 488, 124, 132, 131, 132, 1188, 20024, 30971, 19394, 4023, 141, 11741, 2093, 148, 1119, 23369, 1857, 184, 1629, 8718, 1313, 22535, 1227, 9452, 1856, 1691, 1836, 1188, 1158, 1622, 1197, 4092, 488, 124, 132, 125, 123, 119, 2648, 7354, 1215, 1158, 3011, 12354, 1124, 23767, 1768, 9900, 3747, 1469, 10676, 11598, 1415, 1167, 23479, 1518, 1404, 1810, 1167, 7354, 24190, 1125, 3399, 1690, 3672, 1158, 6545, 1256, 1170, 2803, 1227, 21564, 1125, 17289, 3292, 14898, 14023, 6417, 4134, 24084, 12928, 7771, 11129, 21469, 1233, 24065, 1173, 9414, 3466, 7838, 106, 488, 124, 132, 125, 132, 1257, 16586, 180, 1226, 12409, 1175, 22768, 1813, 1167, 21076, 1260, 488, 124, 132, 126, 125, 1257, 13169, 2499, 23614, 1108, 1125, 27359, 2544, 1208, 4880, 1258, 1272, 1260, 488, 124, 132, 126, 125, 1257, 11188, 18364, 1125, 27359, 2544, 1208, 4880, 1258, 1272, 1260, 488, 124, 132, 126, 126, 1257, 1165, 3923, 4830, 1147, 1135, 1266, 1182, 1125, 9193, 11109, 190, 18993, 3409, 1260, 488, 124, 132, 126, 126, 1257, 1352, 17737, 488, 124, 126, 5587, 1164, 2375, 1135, 1545, 1187, 1148, 15803, 116, 1125, 10676, 11598, 1415, 18993, 3409, 1260, 488, 124, 132, 126, 126, 1257, 1548, 17943, 8243, 17837, 17298, 17595, 2610, 116, 1125, 14733, 18969, 1104, 17416, 1213, 4880, 1258, 1272, 1260, 488, 124, 132, 126, 126, 1257, 1410, 10289, 18349, 1764, 1125, 10676, 11598, 1415, 18993, 3409, 1260, 488, 124, 132, 126, 127, 1257, 20437, 11400, 2165, 7890, 1263, 27798, 116, 1125, 10676, 11598, 1415, 4880, 1258, 1272, 1260, 488, 124, 132, 126, 128, 1257, 6767, 13426, 7990, 1369, 1125, 8980, 25450, 1488, 1175, 2865, 1538, 5844, 1260, 488, 124, 132, 126, 131, 1257, 1202, 5688, 18755, 1231, 12412, 1276, 3994, 3187, 1134, 1284, 1167, 1808, 10691, 28287, 1175, 2865, 1538, 5844, 1260, 488, 124, 132, 126, 132, 1257, 1787, 8413, 1104, 1125, 27359, 2544, 1208, 11759, 3833, 1260, 488, 124, 132, 126, 131, 1257, 5343, 1248, 6561, 1125, 10676, 11598, 1415, 106, 488, 124, 132, 126, 132, 1257, 1548, 1115, 1231, 1110, 1197, 1110, 3045, 17298, 21476, 18683, 1325, 1972, 116, 1304, 4650, 14283, 14970, 3561, 21541, 3190, 11247, 25029, 17936, 8980, 25450, 1488, 1167, 23479, 1518, 1404, 172, 18993, 3409, 1260, 488, 124, 132, 127, 123, 1257, 1653, 15173, 3665, 2892, 5587, 30206, 25567, 1198, 1570, 4495, 12412, 1276, 3994, 3187, 1134, 1284, 1175, 2865, 1538, 5844, 1260, 488, 124, 132, 127, 123, 1257, 20461, 11410, 1175, 1568, 4521, 1167, 23661, 1260, 488, 124, 132, 127, 124, 1257, 11868, 1857, 19263, 1190, 1125, 5450, 18970, 18993, 3409, 1260, 488, 124, 132, 127, 124, 1257, 27091, 1226, 25359, 1580, 1125, 15065, 1479, 9599, 18439, 1972, 18993, 3409, 1260, 488, 124, 132, 127, 124, 1257, 488, 127, 125, 1163, 5182, 1125, 15065, 1479, 9599, 18439, 1972, 1167, 1209, 1119, 23369, 1857, 184, 1629, 18993, 3409, 1260, 488, 124, 132, 127, 126, 1257, 2324, 1679, 2722, 1516, 1201, 1125, 8128, 15156, 18993, 3409, 1260, 488, 124, 132, 127, 126, 1257, 1643, 1233, 1514, 1415, 1227, 8008, 5587, 4505, 1325, 1371, 9099, 1427, 116, 1125, 15065, 1479, 9599, 18439, 1972, 18993, 3409, 1260, 488, 124, 132, 127, 127, 1257, 13455, 25048, 13610, 1125, 5450, 18970, 18993, 3409, 1260, 488, 124, 132, 128, 123, 1257, 1548, 28756, 1125, 6141, 17298, 12620, 1108, 11283, 1206, 116, 1125, 8128, 15156, 106, 488, 124, 132, 129, 123, 1257, 1539, 2139, 1186, 18454, 2163, 7933, 1145, 1427, 1147, 18454, 1265, 116, 1125, 1209, 1119, 23369, 1857, 184, 1629, 18993, 3409, 119, 23661, 1718, 28119, 1109, 7683, 24281, 1416, 6897, 5702, 1424, 1350, 2865, 2289, 488, 124, 132, 126, 132, 1257, 30246, 1227, 6005, 23661, 14317, 1256, 1202, 5688, 18755, 1231, 4713, 7775, 1430, 1424, 1350, 2865, 2289, 488, 124, 132, 126, 132, 1257, 30246, 1227, 6005, 23661, 14317, 1256, 1643, 20105, 1217, 1378, 1175, 29892, 1718, 20634, 1167, 16828, 5825, 2093, 24074, 1836, 14898, 1125, 9452, 5968, 1790, 1793, 14898, 24425, 1538, 29069, 14898, 1125, 9452, 8156, 1186, 3201, 488, 124, 132, 123, 126, 8156, 1188, 18651, 14540, 10914, 9317, 1186, 3012, 488, 124, 132, 131, 132, 9317, 1188, 20024, 9317, 1188, 488, 131, 128, 2165, 3052, 22321, 1227, 6005, 23661, 14317, 5526, 24116, 1125, 2168, 21026, 9168, 3835, 2724, 7621, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 2902, 1119, 11089, 2091, 23369, 1857, 184, 1629, 1299, 1189, 12354, 1124, 12001, 1189, 24190, 1125, 9452, 1167, 1189, 25081, 14898, 5252, 1170, 488, 124, 126, 3201, 488, 124, 132, 123, 126, 1188, 18651, 14540, 10914, 6396, 9971, 1227, 6455, 116, 1167, 4541, 1170, 488, 124, 128, 3012, 488, 124, 132, 131, 132, 1188, 20024, 30971, 19394, 4023, 141, 11741, 2093, 148, 1119, 23369, 1857, 184, 1629, 8718, 1313, 22535, 1227, 9452, 1856, 1691, 1836, 1188, 1158, 1622, 1197, 4092, 488, 124, 132, 125, 123, 119, 2648, 7354, 1215, 1158, 3011, 12354, 1124, 23767, 1768, 9900, 3747, 1469, 10676, 11598, 1415, 1167, 23479, 1518, 1404, 1810, 1167, 7354, 24190, 1125, 3399, 1690, 3672, 1158, 6545, 1256, 1170, 2803, 1227, 21564, 1125, 17289, 3292, 14898, 14023, 6417, 4134, 24084, 12928, 7771, 11129, 21469, 1233, 24065, 1173, 9414, 3466, 7838, 106, 488, 124, 132, 125, 132, 1257, 16586, 180, 1226, 12409, 1175, 22768, 1813, 1167, 21076, 1260, 488, 124, 132, 126, 125, 1257, 13169, 2499, 23614, 1108, 1125, 27359, 2544, 1208, 4880, 1258, 1272, 1260, 488, 124, 132, 126, 125, 1257, 11188, 18364, 1125, 27359, 2544, 1208, 4880, 1258, 1272, 1260, 488, 124, 132, 126, 126, 1257, 1165, 3923, 4830, 1147, 1135, 1266, 1182, 1125, 9193, 11109, 190, 18993, 3409, 1260, 488, 124, 132, 126, 126, 1257, 1352, 17737, 488, 124, 126, 5587, 1164, 2375, 1135, 1545, 1187, 1148, 15803, 116, 1125, 10676, 11598, 1415, 18993, 3409, 1260, 488, 124, 132, 126, 126, 1257, 1548, 17943, 8243, 17837, 17298, 17595, 2610, 116, 1125, 14733, 18969, 1104, 17416, 1213, 4880, 1258, 1272, 1260, 488, 124, 132, 126, 126, 1257, 1410, 10289, 18349, 1764, 1125, 10676, 11598, 1415, 18993, 3409, 1260, 488, 124, 132, 126, 127, 1257, 20437, 11400, 2165, 7890, 1263, 27798, 116, 1125, 10676, 11598, 1415, 4880, 1258, 1272, 1260, 488, 124, 132, 126, 128, 1257, 6767, 13426, 7990, 1369, 1125, 8980, 25450, 1488, 1175, 2865, 1538, 5844, 1260, 488, 124, 132, 126, 131, 1257, 1202, 5688, 18755, 1231, 12412, 1276, 3994, 3187, 1134, 1284, 1167, 1808, 10691, 28287, 1175, 2865, 1538, 5844, 1260, 488, 124, 132, 126, 132, 1257, 1787, 8413, 1104, 1125, 27359, 2544, 1208, 11759, 3833, 1260, 488, 124, 132, 126, 131, 1257, 5343, 1248, 6561, 1125, 10676, 11598, 1415, 106, 488, 124, 132, 126, 132, 1257, 1548, 1115, 1231, 1110, 1197, 1110, 3045, 17298, 21476, 18683, 1325, 1972, 116, 1304, 4650, 14283, 14970, 3561, 21541, 3190, 11247, 25029, 17936, 8980, 25450, 1488, 1167, 23479, 1518, 1404, 172, 18993, 3409, 1260, 488, 124, 132, 127, 123, 1257, 1653, 15173, 3665, 2892, 5587, 30206, 25567, 1198, 1570, 4495, 12412, 1276, 3994, 3187, 1134, 1284, 1175, 2865, 1538, 5844, 1260, 488, 124, 132, 127, 123, 1257, 20461, 11410, 1175, 1568, 4521, 1167, 23661, 1260, 488, 124, 132, 127, 124, 1257, 11868, 1857, 19263, 1190, 1125, 5450, 18970, 18993, 3409, 1260, 488, 124, 132, 127, 124, 1257, 27091, 1226, 25359, 1580, 1125, 15065, 1479, 9599, 18439, 1972, 18993, 3409, 1260, 488, 124, 132, 127, 124, 1257, 488, 127, 125, 1163, 5182, 1125, 15065, 1479, 9599, 18439, 1972, 1167, 1209, 1119, 23369, 1857, 184, 1629, 18993, 3409, 1260, 488, 124, 132, 127, 126, 1257, 2324, 1679, 2722, 1516, 1201, 1125, 8128, 15156, 18993, 3409, 1260, 488, 124, 132, 127, 126, 1257, 1643, 1233, 1514, 1415, 1227, 8008, 5587, 4505, 1325, 1371, 9099, 1427, 116, 1125, 15065, 1479, 9599, 18439, 1972, 18993, 3409, 1260, 488, 124, 132, 127, 127, 1257, 13455, 25048, 13610, 1125, 5450, 18970, 18993, 3409, 1260, 488, 124, 132, 128, 123, 1257, 1548, 28756, 1125, 6141, 17298, 12620, 1108, 11283, 1206, 116, 1125, 8128, 15156, 106, 488, 124, 132, 129, 123, 1257, 1539, 2139, 1186, 18454, 2163, 7933, 1145, 1427, 1147, 18454, 1265, 116, 1125, 1209, 1119, 23369, 1857, 184, 1629, 18993, 3409, 119, 23661, 1718, 28119, 1109, 7683, 24281, 1416, 6897, 5702, 1424, 1350, 2865, 2289, 488, 124, 132, 126, 132, 1257, 30246, 1227, 6005, 23661, 14317, 1256, 1202, 5688, 18755, 1231, 4713, 7775, 1430, 1424, 1350, 2865, 2289, 488, 124, 132, 126, 132, 1257, 30246, 1227, 6005, 23661, 14317, 1256, 1643, 20105, 1217, 1378, 1175, 29892, 1718, 20634, 1167, 16828, 5825, 2093, 24074, 1836, 14898, 1125, 9452, 5968, 1790, 1793, 14898, 24425, 1538, 29069, 14898, 1125, 9452, 8156, 1186, 3201, 488, 124, 132, 123, 126, 8156, 1188, 18651, 14540, 10914, 9317, 1186, 3012, 488, 124, 132, 131, 132, 9317, 1188, 20024, 9317, 1188, 488, 131, 128, 2165, 3052, 22321, 1227, 6005, 23661, 14317, 5526, 24116, 1125, 2168, 21026, 9168, 3835, 2724, 7621, 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, 149, 258, 189, 8408, 15587, 189, 1175, 10029, 9918, 2290, 1170, 1874, 1125, 9692, 5394, 1153, 116, 15587, 189, 116, 24051, 1170, 488, 125, 132, 3012, 488, 124, 129, 127, 123, 1188, 1165, 5344, 179, 5819, 1167, 4541, 1170, 488, 124, 125, 2749, 488, 124, 129, 132, 130, 1188, 1293, 257, 6420, 1123, 5520, 1186, 1173, 2012, 23214, 1299, 1189, 8287, 244, 9092, 1354, 10570, 1517, 1227, 11402, 3463, 176, 6298, 1357, 1110, 21571, 1571, 22251, 4277, 1186, 2315, 1167, 1186, 11961, 3551, 13744, 14231, 1194, 13543, 2601, 15587, 189, 4881, 1123, 1189, 6298, 2567, 15814, 10520, 186, 15260, 2021, 16714, 1282, 29045, 7679, 1309, 1282, 11075, 1125, 1158, 16412, 3031, 3185, 11966, 1186, 6431, 29206, 6348, 1308, 183, 18856, 6280, 3175, 21827, 2985, 18078, 1313, 1594, 17299, 1254, 1308, 183, 3016, 5941, 1146, 3794, 1723, 2551, 1128, 1117, 1154, 1382, 1282, 15092, 1188, 21396, 121, 15260, 2021, 16714, 4366, 1416, 1542, 1687, 1816, 9855, 1186, 488, 124, 130, 132, 130, 1186, 4799, 1199, 1742, 244, 3049, 1160, 1388, 154, 1412, 1108, 12579, 13301, 1186, 8547, 18515, 1594, 18041, 2247, 6431, 16052, 3415, 119, 1317, 2151, 2914, 13370, 17250, 1188, 1548, 1456, 185, 1493, 119, 3042, 1188, 2801, 29398, 488, 127, 132, 126, 120, 127, 132, 127, 1576, 1548, 1456, 185, 1493, 16885, 1189, 6001, 1253, 2485, 176, 1125, 9692, 15587, 189, 1186, 5401, 1188, 16771, 1593, 1215, 14247, 1108, 12579, 1125, 1594, 18041, 2247, 119, 1186, 12049, 7662, 1300, 1561, 1606, 1306, 1219, 1399, 1389, 1186, 6431, 29206, 1167, 1186, 13247, 1524, 29398, 488, 127, 132, 127, 1167, 5701, 1125, 9547, 116, 12427, 3341, 1248, 2559, 1965, 1170, 18041, 2247, 1125, 15587, 189, 2934, 18590, 6952, 1440, 1309, 15814, 10520, 186, 15260, 2021, 16714, 1170, 15916, 1890, 1186, 488, 124, 130, 132, 130, 119, 1995, 1906, 6521, 7644, 1378, 6941, 1170, 18041, 2247, 1125, 15587, 189, 3046, 1141, 2021, 16714, 12258, 1110, 3831, 18087, 1186, 1645, 19394, 2648, 1186, 2315, 1186, 10651, 1125, 23148, 1210, 1187, 185, 16965, 1388, 282, 10843, 1424, 144, 1308, 183, 3016, 5941, 1146, 3794, 1192, 23436, 175, 12361, 488, 124, 129, 130, 125, 30039, 20544, 11052, 1424, 159, 1766, 2244, 1126, 1125, 15587, 189, 11934, 3249, 7364, 5825, 1424, 146, 244, 29206, 1227, 1417, 1141, 2359, 2324, 1119, 3621, 4384, 7348, 1323, 1808, 6626, 1227, 1455, 1119, 19155, 1495, 244, 9092, 1354, 10570, 1517, 1227, 11402, 3463, 176, 6298, 8156, 1188, 1165, 5344, 179, 5819, 8156, 1186, 3012, 488, 124, 129, 127, 123, 9317, 1186, 1173, 24822, 9317, 1313, 5753, 29430, 1128, 1125, 1173, 24822, 9317, 1186, 2749, 488, 124, 129, 132, 130, 9317, 1188, 488, 128, 129, 2165, 32001, 1424, 32000, 20036, 2278, 258, 189, 8408, 15587, 189, 1175, 10029, 9918, 2290, 1170, 1874, 1125, 9692, 5394, 1153, 116, 15587, 189, 116, 24051, 1170, 488, 125, 132, 3012, 488, 124, 129, 127, 123, 1188, 1165, 5344, 179, 5819, 1167, 4541, 1170, 488, 124, 125, 2749, 488, 124, 129, 132, 130, 1188, 1293, 257, 6420, 1123, 5520, 1186, 1173, 2012, 23214, 1299, 1189, 8287, 244, 9092, 1354, 10570, 1517, 1227, 11402, 3463, 176, 6298, 1357, 1110, 21571, 1571, 22251, 4277, 1186, 2315, 1167, 1186, 11961, 3551, 13744, 14231, 1194, 13543, 2601, 15587, 189, 4881, 1123, 1189, 6298, 2567, 15814, 10520, 186, 15260, 2021, 16714, 1282, 29045, 7679, 1309, 1282, 11075, 1125, 1158, 16412, 3031, 3185, 11966, 1186, 6431, 29206, 6348, 1308, 183, 18856, 6280, 3175, 21827, 2985, 18078, 1313, 1594, 17299, 1254, 1308, 183, 3016, 5941, 1146, 3794, 1723, 2551, 1128, 1117, 1154, 1382, 1282, 15092, 1188, 21396, 121, 15260, 2021, 16714, 4366, 1416, 1542, 1687, 1816, 9855, 1186, 488, 124, 130, 132, 130, 1186, 4799, 1199, 1742, 244, 3049, 1160, 1388, 154, 1412, 1108, 12579, 13301, 1186, 8547, 18515, 1594, 18041, 2247, 6431, 16052, 3415, 119, 1317, 2151, 2914, 13370, 17250, 1188, 1548, 1456, 185, 1493, 119, 3042, 1188, 2801, 29398, 488, 127, 132, 126, 120, 127, 132, 127, 1576, 1548, 1456, 185, 1493, 16885, 1189, 6001, 1253, 2485, 176, 1125, 9692, 15587, 189, 1186, 5401, 1188, 16771, 1593, 1215, 14247, 1108, 12579, 1125, 1594, 18041, 2247, 119, 1186, 12049, 7662, 1300, 1561, 1606, 1306, 1219, 1399, 1389, 1186, 6431, 29206, 1167, 1186, 13247, 1524, 29398, 488, 127, 132, 127, 1167, 5701, 1125, 9547, 116, 12427, 3341, 1248, 2559, 1965, 1170, 18041, 2247, 1125, 15587, 189, 2934, 18590, 6952, 1440, 1309, 15814, 10520, 186, 15260, 2021, 16714, 1170, 15916, 1890, 1186, 488, 124, 130, 132, 130, 119, 1995, 1906, 6521, 7644, 1378, 6941, 1170, 18041, 2247, 1125, 15587, 189, 3046, 1141, 2021, 16714, 12258, 1110, 3831, 18087, 1186, 1645, 19394, 2648, 1186, 2315, 1186, 10651, 1125, 23148, 1210, 1187, 185, 16965, 1388, 282, 10843, 1424, 144, 1308, 183, 3016, 5941, 1146, 3794, 1192, 23436, 175, 12361, 488, 124, 129, 130, 125, 30039, 20544, 11052, 1424, 159, 1766, 2244, 1126, 1125, 15587, 189, 11934, 3249, 7364, 5825, 1424, 146, 244, 29206, 1227, 1417, 1141, 2359, 2324, 1119, 3621, 4384, 7348, 1323, 1808, 6626, 1227, 1455, 1119, 19155, 1495, 244, 9092, 1354, 10570, 1517, 1227, 11402, 3463, 176, 6298, 8156, 1188, 1165, 5344, 179, 5819, 8156, 1186, 3012, 488, 124, 129, 127, 123, 9317, 1186, 1173, 24822, 9317, 1313, 5753, 29430, 1128, 1125, 1173, 24822, 9317, 1186, 2749, 488, 124, 129, 132, 130, 9317, 1188, 488, 128, 129, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 258, 189, 8408, 15587, 189, 1175, 10029, 9918, 2290, 1170, 1874, 1125, 9692, 5394, 1153, 116, 15587, 189, 116, 24051, 1170, 488, 125, 132, 3012, 488, 124, 129, 127, 123, 1188, 1165, 5344, 179, 5819, 1167, 4541, 1170, 488, 124, 125, 2749, 488, 124, 129, 132, 130, 1188, 1293, 257, 6420, 1123, 5520, 1186, 1173, 2012, 23214, 1299, 1189, 8287, 244, 9092, 1354, 10570, 1517, 1227, 11402, 3463, 176, 6298, 1357, 1110, 21571, 1571, 22251, 4277, 1186, 2315, 1167, 1186, 11961, 3551, 13744, 14231, 1194, 13543, 2601, 15587, 189, 4881, 1123, 1189, 6298, 2567, 15814, 10520, 186, 15260, 2021, 16714, 1282, 29045, 7679, 1309, 1282, 11075, 1125, 1158, 16412, 3031, 3185, 11966, 1186, 6431, 29206, 6348, 1308, 183, 18856, 6280, 3175, 21827, 2985, 18078, 1313, 1594, 17299, 1254, 1308, 183, 3016, 5941, 1146, 3794, 1723, 2551, 1128, 1117, 1154, 1382, 1282, 15092, 1188, 21396, 121, 15260, 2021, 16714, 4366, 1416, 1542, 1687, 1816, 9855, 1186, 488, 124, 130, 132, 130, 1186, 4799, 1199, 1742, 244, 3049, 1160, 1388, 154, 1412, 1108, 12579, 13301, 1186, 8547, 18515, 1594, 18041, 2247, 6431, 16052, 3415, 119, 1317, 2151, 2914, 13370, 17250, 1188, 1548, 1456, 185, 1493, 119, 3042, 1188, 2801, 29398, 488, 127, 132, 126, 120, 127, 132, 127, 1576, 1548, 1456, 185, 1493, 16885, 1189, 6001, 1253, 2485, 176, 1125, 9692, 15587, 189, 1186, 5401, 1188, 16771, 1593, 1215, 14247, 1108, 12579, 1125, 1594, 18041, 2247, 119, 1186, 12049, 7662, 1300, 1561, 1606, 1306, 1219, 1399, 1389, 1186, 6431, 29206, 1167, 1186, 13247, 1524, 29398, 488, 127, 132, 127, 1167, 5701, 1125, 9547, 116, 12427, 3341, 1248, 2559, 1965, 1170, 18041, 2247, 1125, 15587, 189, 2934, 18590, 6952, 1440, 1309, 15814, 10520, 186, 15260, 2021, 16714, 1170, 15916, 1890, 1186, 488, 124, 130, 132, 130, 119, 1995, 1906, 6521, 7644, 1378, 6941, 1170, 18041, 2247, 1125, 15587, 189, 3046, 1141, 2021, 16714, 12258, 1110, 3831, 18087, 1186, 1645, 19394, 2648, 1186, 2315, 1186, 10651, 1125, 23148, 1210, 1187, 185, 16965, 1388, 282, 10843, 1424, 144, 1308, 183, 3016, 5941, 1146, 3794, 1192, 23436, 175, 12361, 488, 124, 129, 130, 125, 30039, 20544, 11052, 1424, 159, 1766, 2244, 1126, 1125, 15587, 189, 11934, 3249, 7364, 5825, 1424, 146, 244, 29206, 1227, 1417, 1141, 2359, 2324, 1119, 3621, 4384, 7348, 1323, 1808, 6626, 1227, 1455, 1119, 19155, 1495, 244, 9092, 1354, 10570, 1517, 1227, 11402, 3463, 176, 6298, 8156, 1188, 1165, 5344, 179, 5819, 8156, 1186, 3012, 488, 124, 129, 127, 123, 9317, 1186, 1173, 24822, 9317, 1313, 5753, 29430, 1128, 1125, 1173, 24822, 9317, 1186, 2749, 488, 124, 129, 132, 130, 9317, 1188, 488, 128, 129, 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, 114, 6880, 1603, 10194, 3281, 14034, 14776, 4101, 1183, 1299, 22938, 1125, 1158, 19951, 1206, 1253, 1614, 20028, 1125, 3728, 3551, 25024, 1199, 1317, 7092, 17116, 4101, 26504, 1317, 8579, 121, 3450, 2985, 27537, 1125, 488, 124, 132, 124, 127, 1188, 488, 124, 132, 124, 129, 1167, 1299, 27495, 1256, 1561, 5219, 24444, 1105, 8469, 22007, 121, 3450, 1844, 3247, 1125, 1282, 2528, 9071, 1237, 7551, 1125, 1248, 1195, 1212, 7901, 29227, 29619, 1603, 10194, 3281, 14034, 14776, 4101, 1183, 1299, 10019, 1186, 7331, 7511, 1227, 7130, 1125, 3728, 3551, 25024, 1199, 9005, 3691, 1317, 12179, 7546, 1301, 3931, 2036, 1653, 11012, 1909, 2069, 1455, 5200, 1201, 2345, 16274, 488, 488, 128, 123, 13061, 1125, 4392, 1508, 1189, 2151, 1125, 2762, 1450, 3447, 28972, 3450, 1299, 1125, 3838, 5252, 3589, 178, 1752, 1460, 1167, 1110, 1913, 5946, 4094, 3702, 1207, 6314, 1125, 1282, 23821, 15357, 22317, 3486, 1174, 1479, 1399, 19120, 24547, 3450, 9016, 1197, 6933, 4133, 1186, 19534, 2167, 1120, 2357, 1197, 2714, 5030, 1285, 1197, 15212, 20262, 1167, 1197, 2164, 30822, 2205, 2873, 1452, 1473, 1300, 14086, 1199, 1207, 1455, 5200, 2996, 3450, 1110, 1197, 18979, 1186, 8791, 1167, 1318, 18226, 1186, 1111, 3235, 18726, 1603, 10194, 9016, 1189, 4914, 1277, 30749, 1215, 8200, 5943, 1772, 2805, 1186, 488, 124, 132, 124, 125, 8732, 1312, 3176, 191, 1450, 15624, 2257, 3176, 191, 1450, 2985, 13826, 1186, 488, 124, 132, 124, 129, 121, 1768, 10515, 2335, 12685, 1125, 3838, 16620, 1460, 1469, 1189, 15630, 1186, 20958, 1292, 2114, 1189, 2678, 22342, 1167, 2069, 14434, 6111, 25473, 7731, 1634, 22372, 1188, 22938, 121, 1808, 1329, 2500, 1285, 2487, 1170, 5775, 2114, 1158, 23500, 3352, 1188, 1644, 19115, 1167, 1207, 1600, 1396, 1346, 1508, 5350, 1125, 3838, 5252, 1237, 14875, 7165, 20702, 6766, 14994, 1508, 3295, 1300, 1170, 12685, 2487, 1170, 3360, 15572, 1167, 1207, 10075, 185, 1741, 1186, 1138, 3415, 119, 1207, 7868, 245, 15354, 1207, 14250, 1167, 1207, 19331, 2162, 1104, 1188, 5775, 2114, 1723, 1158, 1111, 3235, 1125, 1158, 18226, 1110, 1913, 8088, 1303, 1215, 1227, 3688, 1208, 1334, 20087, 26973, 7017, 1548, 12685, 29975, 7030, 1318, 20970, 13565, 3190, 181, 1379, 1554, 13699, 1105, 3375, 28912, 1298, 1199, 3691, 1188, 22938, 1125, 14974, 5719, 1125, 1158, 1177, 3955, 1527, 1251, 1110, 1318, 26294, 1227, 15042, 1568, 3926, 5892, 1125, 18118, 25591, 121, 1867, 7662, 1158, 19596, 1125, 12799, 183, 8222, 1527, 1251, 1110, 1318, 26294, 1125, 6780, 3261, 1292, 2851, 1170, 1606, 24639, 1125, 1158, 1352, 15280, 4821, 25066, 4112, 9016, 3203, 29602, 1257, 1318, 1256, 1207, 5601, 19606, 1167, 1207, 4141, 1234, 1125, 1158, 1152, 1390, 2806, 1318, 1256, 1207, 1113, 4587, 2007, 1125, 1158, 1152, 1390, 244, 1167, 1318, 1186, 22107, 1188, 6780, 3261, 1292, 4974, 3762, 1158, 2107, 1835, 22938, 1167, 1170, 2257, 3176, 191, 6909, 1527, 1251, 1110, 1318, 26294, 1125, 25345, 1188, 1282, 1686, 18117, 8157, 1234, 1153, 20481, 29619, 1603, 10194, 3281, 14034, 14776, 4101, 1183, 2985, 27537, 1125, 488, 124, 132, 124, 127, 1188, 488, 124, 132, 124, 129, 119, 1723, 16186, 2985, 26705, 1186, 488, 124, 132, 125, 132, 121, 3450, 27535, 1282, 20246, 28896, 1357, 2985, 27537, 1186, 488, 124, 131, 131, 132, 1167, 13390, 5563, 1186, 488, 124, 132, 124, 129, 121, 1643, 3453, 2345, 1206, 1251, 2985, 24925, 1303, 1170, 1939, 2576, 1603, 10194, 2985, 30364, 1215, 488, 16855, 4379, 2643, 13452, 4307, 2942, 1245, 1170, 1939, 1808, 21047, 1167, 1207, 6141, 5319, 1125, 22938, 15935, 5159, 1234, 1188, 1964, 7099, 14994, 1186, 488, 124, 132, 131, 126, 8155, 1859, 22938, 1299, 18714, 1856, 20672, 12405, 24444, 21953, 1215, 1158, 23361, 1125, 3728, 3551, 25024, 1199, 1388, 26630, 22066, 1603, 10194, 3281, 14034, 14776, 4101, 1183, 1299, 3295, 13409, 1856, 28896, 1215, 2607, 1349, 5907, 3450, 1299, 1125, 1177, 1286, 25803, 11488, 1167, 5474, 25194, 17935, 13374, 11052, 1424, 3728, 3551, 25024, 1199, 106, 6653, 9071, 1237, 7551, 1125, 1248, 1195, 1212, 7901, 106, 12253, 1197, 8936, 1125, 30147, 1227, 7092, 17116, 4101, 26504, 17994, 7364, 5825, 1424, 2576, 1603, 10194, 3281, 14034, 14776, 4101, 1183, 1300, 1170, 1865, 1125, 1158, 23361, 1125, 3728, 3551, 25024, 1199, 106, 2605, 11645, 3281, 14034, 14776, 4101, 1183, 1300, 1170, 1865, 1125, 1282, 2528, 9071, 1237, 7551, 1125, 3728, 3551, 25024, 1199, 106, 2605, 11645, 3281, 14034, 14776, 4101, 1183, 1313, 17289, 26606, 1197, 8936, 1125, 30147, 1227, 8579, 106, 2605, 11645, 1125, 3281, 14034, 14776, 4101, 1183, 1313, 1170, 5294, 1403, 8648, 1227, 11639, 16191, 1227, 8579, 106, 5240, 3176, 191, 1450, 1125, 3281, 14034, 14776, 4101, 1183, 1313, 1170, 5294, 1403, 8648, 1227, 11639, 16191, 1227, 8579, 23435, 175, 28567, 22816, 1317, 7092, 17116, 4101, 26504, 5526, 175, 28567, 22816, 6035, 10248, 1186, 488, 124, 132, 124, 129, 5526, 11645, 22187, 1317, 8579, 2895, 7546, 1301, 23452, 10541, 9071, 1237, 7551, 1125, 1248, 1195, 1212, 7901, 10541, 11771, 1227, 23841, 6298, 1317, 8579, 5526, 11645, 16512, 1317, 23841, 6298, 25983, 3261, 1292, 1199, 5526, 11645, 5252, 3589, 178, 1752, 1460, 1317, 6372, 2056, 237, 19558, 1125, 22317, 3486, 1174, 1479, 1399, 19120, 1242, 19373, 1232, 12405, 24444, 21953, 18714, 1227, 8579, 1489, 2466, 24444, 21953, 1317, 7092, 17116, 4101, 26504, 114, 32001, 1424, 32000, 20036, 24623, 6880, 1603, 10194, 3281, 14034, 14776, 4101, 1183, 1299, 22938, 1125, 1158, 19951, 1206, 1253, 1614, 20028, 1125, 3728, 3551, 25024, 1199, 1317, 7092, 17116, 4101, 26504, 1317, 8579, 121, 3450, 2985, 27537, 1125, 488, 124, 132, 124, 127, 1188, 488, 124, 132, 124, 129, 1167, 1299, 27495, 1256, 1561, 5219, 24444, 1105, 8469, 22007, 121, 3450, 1844, 3247, 1125, 1282, 2528, 9071, 1237, 7551, 1125, 1248, 1195, 1212, 7901, 29227, 29619, 1603, 10194, 3281, 14034, 14776, 4101, 1183, 1299, 10019, 1186, 7331, 7511, 1227, 7130, 1125, 3728, 3551, 25024, 1199, 9005, 3691, 1317, 12179, 7546, 1301, 3931, 2036, 1653, 11012, 1909, 2069, 1455, 5200, 1201, 2345, 16274, 488, 488, 128, 123, 13061, 1125, 4392, 1508, 1189, 2151, 1125, 2762, 1450, 3447, 28972, 3450, 1299, 1125, 3838, 5252, 3589, 178, 1752, 1460, 1167, 1110, 1913, 5946, 4094, 3702, 1207, 6314, 1125, 1282, 23821, 15357, 22317, 3486, 1174, 1479, 1399, 19120, 24547, 3450, 9016, 1197, 6933, 4133, 1186, 19534, 2167, 1120, 2357, 1197, 2714, 5030, 1285, 1197, 15212, 20262, 1167, 1197, 2164, 30822, 2205, 2873, 1452, 1473, 1300, 14086, 1199, 1207, 1455, 5200, 2996, 3450, 1110, 1197, 18979, 1186, 8791, 1167, 1318, 18226, 1186, 1111, 3235, 18726, 1603, 10194, 9016, 1189, 4914, 1277, 30749, 1215, 8200, 5943, 1772, 2805, 1186, 488, 124, 132, 124, 125, 8732, 1312, 3176, 191, 1450, 15624, 2257, 3176, 191, 1450, 2985, 13826, 1186, 488, 124, 132, 124, 129, 121, 1768, 10515, 2335, 12685, 1125, 3838, 16620, 1460, 1469, 1189, 15630, 1186, 20958, 1292, 2114, 1189, 2678, 22342, 1167, 2069, 14434, 6111, 25473, 7731, 1634, 22372, 1188, 22938, 121, 1808, 1329, 2500, 1285, 2487, 1170, 5775, 2114, 1158, 23500, 3352, 1188, 1644, 19115, 1167, 1207, 1600, 1396, 1346, 1508, 5350, 1125, 3838, 5252, 1237, 14875, 7165, 20702, 6766, 14994, 1508, 3295, 1300, 1170, 12685, 2487, 1170, 3360, 15572, 1167, 1207, 10075, 185, 1741, 1186, 1138, 3415, 119, 1207, 7868, 245, 15354, 1207, 14250, 1167, 1207, 19331, 2162, 1104, 1188, 5775, 2114, 1723, 1158, 1111, 3235, 1125, 1158, 18226, 1110, 1913, 8088, 1303, 1215, 1227, 3688, 1208, 1334, 20087, 26973, 7017, 1548, 12685, 29975, 7030, 1318, 20970, 13565, 3190, 181, 1379, 1554, 13699, 1105, 3375, 28912, 1298, 1199, 3691, 1188, 22938, 1125, 14974, 5719, 1125, 1158, 1177, 3955, 1527, 1251, 1110, 1318, 26294, 1227, 15042, 1568, 3926, 5892, 1125, 18118, 25591, 121, 1867, 7662, 1158, 19596, 1125, 12799, 183, 8222, 1527, 1251, 1110, 1318, 26294, 1125, 6780, 3261, 1292, 2851, 1170, 1606, 24639, 1125, 1158, 1352, 15280, 4821, 25066, 4112, 9016, 3203, 29602, 1257, 1318, 1256, 1207, 5601, 19606, 1167, 1207, 4141, 1234, 1125, 1158, 1152, 1390, 2806, 1318, 1256, 1207, 1113, 4587, 2007, 1125, 1158, 1152, 1390, 244, 1167, 1318, 1186, 22107, 1188, 6780, 3261, 1292, 4974, 3762, 1158, 2107, 1835, 22938, 1167, 1170, 2257, 3176, 191, 6909, 1527, 1251, 1110, 1318, 26294, 1125, 25345, 1188, 1282, 1686, 18117, 8157, 1234, 1153, 20481, 29619, 1603, 10194, 3281, 14034, 14776, 4101, 1183, 2985, 27537, 1125, 488, 124, 132, 124, 127, 1188, 488, 124, 132, 124, 129, 119, 1723, 16186, 2985, 26705, 1186, 488, 124, 132, 125, 132, 121, 3450, 27535, 1282, 20246, 28896, 1357, 2985, 27537, 1186, 488, 124, 131, 131, 132, 1167, 13390, 5563, 1186, 488, 124, 132, 124, 129, 121, 1643, 3453, 2345, 1206, 1251, 2985, 24925, 1303, 1170, 1939, 2576, 1603, 10194, 2985, 30364, 1215, 488, 16855, 4379, 2643, 13452, 4307, 2942, 1245, 1170, 1939, 1808, 21047, 1167, 1207, 6141, 5319, 1125, 22938, 15935, 5159, 1234, 1188, 1964, 7099, 14994, 1186, 488, 124, 132, 131, 126, 8155, 1859, 22938, 1299, 18714, 1856, 20672, 12405, 24444, 21953, 1215, 1158, 23361, 1125, 3728, 3551, 25024, 1199, 1388, 26630, 22066, 1603, 10194, 3281, 14034, 14776, 4101, 1183, 1299, 3295, 13409, 1856, 28896, 1215, 2607, 1349, 5907, 3450, 1299, 1125, 1177, 1286, 25803, 11488, 1167, 5474, 25194, 17935, 13374, 11052, 1424, 3728, 3551, 25024, 1199, 106, 6653, 9071, 1237, 7551, 1125, 1248, 1195, 1212, 7901, 106, 12253, 1197, 8936, 1125, 30147, 1227, 7092, 17116, 4101, 26504, 17994, 7364, 5825, 1424, 2576, 1603, 10194, 3281, 14034, 14776, 4101, 1183, 1300, 1170, 1865, 1125, 1158, 23361, 1125, 3728, 3551, 25024, 1199, 106, 2605, 11645, 3281, 14034, 14776, 4101, 1183, 1300, 1170, 1865, 1125, 1282, 2528, 9071, 1237, 7551, 1125, 3728, 3551, 25024, 1199, 106, 2605, 11645, 3281, 14034, 14776, 4101, 1183, 1313, 17289, 26606, 1197, 8936, 1125, 30147, 1227, 8579, 106, 2605, 11645, 1125, 3281, 14034, 14776, 4101, 1183, 1313, 1170, 5294, 1403, 8648, 1227, 11639, 16191, 1227, 8579, 106, 5240, 3176, 191, 1450, 1125, 3281, 14034, 14776, 4101, 1183, 1313, 1170, 5294, 1403, 8648, 1227, 11639, 16191, 1227, 8579, 23435, 175, 28567, 22816, 1317, 7092, 17116, 4101, 26504, 5526, 175, 28567, 22816, 6035, 10248, 1186, 488, 124, 132, 124, 129, 5526, 11645, 22187, 1317, 8579, 2895, 7546, 1301, 23452, 10541, 9071, 1237, 7551, 1125, 1248, 1195, 1212, 7901, 10541, 11771, 1227, 23841, 6298, 1317, 8579, 5526, 11645, 16512, 1317, 23841, 6298, 25983, 3261, 1292, 1199, 5526, 11645, 5252, 3589, 178, 1752, 1460, 1317, 6372, 2056, 237, 19558, 1125, 22317, 3486, 1174, 1479, 1399, 19120, 1242, 19373, 1232, 12405, 24444, 21953, 18714, 1227, 8579, 1489, 2466, 24444, 21953, 1317, 7092, 17116, 4101, 26504, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1603, 10194, 3281, 14034, 14776, 4101, 1183, 1299, 22938, 1125, 1158, 19951, 1206, 1253, 1614, 20028, 1125, 3728, 3551, 25024, 1199, 1317, 7092, 17116, 4101, 26504, 1317, 8579, 121, 3450, 2985, 27537, 1125, 488, 124, 132, 124, 127, 1188, 488, 124, 132, 124, 129, 1167, 1299, 27495, 1256, 1561, 5219, 24444, 1105, 8469, 22007, 121, 3450, 1844, 3247, 1125, 1282, 2528, 9071, 1237, 7551, 1125, 1248, 1195, 1212, 7901, 29227, 29619, 1603, 10194, 3281, 14034, 14776, 4101, 1183, 1299, 10019, 1186, 7331, 7511, 1227, 7130, 1125, 3728, 3551, 25024, 1199, 9005, 3691, 1317, 12179, 7546, 1301, 3931, 2036, 1653, 11012, 1909, 2069, 1455, 5200, 1201, 2345, 16274, 488, 488, 128, 123, 13061, 1125, 4392, 1508, 1189, 2151, 1125, 2762, 1450, 3447, 28972, 3450, 1299, 1125, 3838, 5252, 3589, 178, 1752, 1460, 1167, 1110, 1913, 5946, 4094, 3702, 1207, 6314, 1125, 1282, 23821, 15357, 22317, 3486, 1174, 1479, 1399, 19120, 24547, 3450, 9016, 1197, 6933, 4133, 1186, 19534, 2167, 1120, 2357, 1197, 2714, 5030, 1285, 1197, 15212, 20262, 1167, 1197, 2164, 30822, 2205, 2873, 1452, 1473, 1300, 14086, 1199, 1207, 1455, 5200, 2996, 3450, 1110, 1197, 18979, 1186, 8791, 1167, 1318, 18226, 1186, 1111, 3235, 18726, 1603, 10194, 9016, 1189, 4914, 1277, 30749, 1215, 8200, 5943, 1772, 2805, 1186, 488, 124, 132, 124, 125, 8732, 1312, 3176, 191, 1450, 15624, 2257, 3176, 191, 1450, 2985, 13826, 1186, 488, 124, 132, 124, 129, 121, 1768, 10515, 2335, 12685, 1125, 3838, 16620, 1460, 1469, 1189, 15630, 1186, 20958, 1292, 2114, 1189, 2678, 22342, 1167, 2069, 14434, 6111, 25473, 7731, 1634, 22372, 1188, 22938, 121, 1808, 1329, 2500, 1285, 2487, 1170, 5775, 2114, 1158, 23500, 3352, 1188, 1644, 19115, 1167, 1207, 1600, 1396, 1346, 1508, 5350, 1125, 3838, 5252, 1237, 14875, 7165, 20702, 6766, 14994, 1508, 3295, 1300, 1170, 12685, 2487, 1170, 3360, 15572, 1167, 1207, 10075, 185, 1741, 1186, 1138, 3415, 119, 1207, 7868, 245, 15354, 1207, 14250, 1167, 1207, 19331, 2162, 1104, 1188, 5775, 2114, 1723, 1158, 1111, 3235, 1125, 1158, 18226, 1110, 1913, 8088, 1303, 1215, 1227, 3688, 1208, 1334, 20087, 26973, 7017, 1548, 12685, 29975, 7030, 1318, 20970, 13565, 3190, 181, 1379, 1554, 13699, 1105, 3375, 28912, 1298, 1199, 3691, 1188, 22938, 1125, 14974, 5719, 1125, 1158, 1177, 3955, 1527, 1251, 1110, 1318, 26294, 1227, 15042, 1568, 3926, 5892, 1125, 18118, 25591, 121, 1867, 7662, 1158, 19596, 1125, 12799, 183, 8222, 1527, 1251, 1110, 1318, 26294, 1125, 6780, 3261, 1292, 2851, 1170, 1606, 24639, 1125, 1158, 1352, 15280, 4821, 25066, 4112, 9016, 3203, 29602, 1257, 1318, 1256, 1207, 5601, 19606, 1167, 1207, 4141, 1234, 1125, 1158, 1152, 1390, 2806, 1318, 1256, 1207, 1113, 4587, 2007, 1125, 1158, 1152, 1390, 244, 1167, 1318, 1186, 22107, 1188, 6780, 3261, 1292, 4974, 3762, 1158, 2107, 1835, 22938, 1167, 1170, 2257, 3176, 191, 6909, 1527, 1251, 1110, 1318, 26294, 1125, 25345, 1188, 1282, 1686, 18117, 8157, 1234, 1153, 20481, 29619, 1603, 10194, 3281, 14034, 14776, 4101, 1183, 2985, 27537, 1125, 488, 124, 132, 124, 127, 1188, 488, 124, 132, 124, 129, 119, 1723, 16186, 2985, 26705, 1186, 488, 124, 132, 125, 132, 121, 3450, 27535, 1282, 20246, 28896, 1357, 2985, 27537, 1186, 488, 124, 131, 131, 132, 1167, 13390, 5563, 1186, 488, 124, 132, 124, 129, 121, 1643, 3453, 2345, 1206, 1251, 2985, 24925, 1303, 1170, 1939, 2576, 1603, 10194, 2985, 30364, 1215, 488, 16855, 4379, 2643, 13452, 4307, 2942, 1245, 1170, 1939, 1808, 21047, 1167, 1207, 6141, 5319, 1125, 22938, 15935, 5159, 1234, 1188, 1964, 7099, 14994, 1186, 488, 124, 132, 131, 126, 8155, 1859, 22938, 1299, 18714, 1856, 20672, 12405, 24444, 21953, 1215, 1158, 23361, 1125, 3728, 3551, 25024, 1199, 1388, 26630, 22066, 1603, 10194, 3281, 14034, 14776, 4101, 1183, 1299, 3295, 13409, 1856, 28896, 1215, 2607, 1349, 5907, 3450, 1299, 1125, 1177, 1286, 25803, 11488, 1167, 5474, 25194, 17935, 13374, 11052, 1424, 3728, 3551, 25024, 1199, 106, 6653, 9071, 1237, 7551, 1125, 1248, 1195, 1212, 7901, 106, 12253, 1197, 8936, 1125, 30147, 1227, 7092, 17116, 4101, 26504, 17994, 7364, 5825, 1424, 2576, 1603, 10194, 3281, 14034, 14776, 4101, 1183, 1300, 1170, 1865, 1125, 1158, 23361, 1125, 3728, 3551, 25024, 1199, 106, 2605, 11645, 3281, 14034, 14776, 4101, 1183, 1300, 1170, 1865, 1125, 1282, 2528, 9071, 1237, 7551, 1125, 3728, 3551, 25024, 1199, 106, 2605, 11645, 3281, 14034, 14776, 4101, 1183, 1313, 17289, 26606, 1197, 8936, 1125, 30147, 1227, 8579, 106, 2605, 11645, 1125, 3281, 14034, 14776, 4101, 1183, 1313, 1170, 5294, 1403, 8648, 1227, 11639, 16191, 1227, 8579, 106, 5240, 3176, 191, 1450, 1125, 3281, 14034, 14776, 4101, 1183, 1313, 1170, 5294, 1403, 8648, 1227, 11639, 16191, 1227, 8579, 23435, 175, 28567, 22816, 1317, 7092, 17116, 4101, 26504, 5526, 175, 28567, 22816, 6035, 10248, 1186, 488, 124, 132, 124, 129, 5526, 11645, 22187, 1317, 8579, 2895, 7546, 1301, 23452, 10541, 9071, 1237, 7551, 1125, 1248, 1195, 1212, 7901, 10541, 11771, 1227, 23841, 6298, 1317, 8579, 5526, 11645, 16512, 1317, 23841, 6298, 25983, 3261, 1292, 1199, 5526, 11645, 5252, 3589, 178, 1752, 1460, 1317, 6372, 2056, 237, 19558, 1125, 22317, 3486, 1174, 1479, 1399, 19120, 1242, 19373, 1232, 12405, 24444, 21953, 18714, 1227, 8579, 1489, 2466, 24444, 21953, 1317, 7092, 17116, 4101, 26504, 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, 162, 9458, 1451, 1299, 1189, 7130, 1125, 1158, 4813, 20120, 1125, 3281, 6867, 1284, 7216, 10816, 1257, 1173, 2268, 191, 1352, 1284, 116, 10019, 1186, 25170, 1185, 5597, 31090, 1167, 1186, 17487, 8101, 1767, 1313, 1158, 10660, 1125, 31906, 121, 3559, 5715, 3247, 1227, 7130, 1281, 5209, 1300, 1170, 7019, 2028, 1132, 5519, 3809, 4567, 7216, 10816, 1257, 4148, 1140, 4023, 22498, 3111, 1424, 17971, 488, 124, 1107, 2749, 488, 125, 123, 125, 124, 119, 1170, 7130, 6036, 1370, 488, 126, 130, 125, 11411, 9005, 3247, 1125, 1158, 4813, 1125, 3281, 6867, 1284, 1167, 488, 126, 124, 11411, 21146, 1313, 1158, 4813, 5519, 3809, 4567, 1167, 25393, 1170, 2102, 1125, 1158, 5646, 5277, 488, 129, 130, 129, 1835, 1192, 3809, 4567, 1167, 3281, 6867, 1284, 7745, 1123, 10878, 1167, 5456, 10791, 7130, 1125, 1325, 9458, 1451, 1299, 4771, 3634, 1188, 1158, 10544, 2335, 4170, 1152, 1390, 1105, 1313, 1189, 8608, 20723, 1125, 3432, 180, 19330, 4511, 21204, 1227, 7130, 2368, 27563, 1189, 2511, 25933, 23672, 1657, 2093, 162, 9458, 1451, 1281, 18381, 1188, 488, 128, 7275, 1317, 20449, 1182, 1125, 1158, 3837, 1125, 3281, 6867, 1284, 121, 29619, 1132, 5815, 1227, 7130, 22072, 1125, 488, 126, 130, 126, 1188, 488, 127, 131, 131, 13061, 1175, 127, 124, 123, 1188, 22938, 1167, 488, 126, 130, 126, 1188, 19543, 4023, 30609, 1424, 162, 9458, 1451, 1299, 15000, 4568, 1256, 1158, 3453, 2768, 1186, 488, 124, 123, 128, 129, 119, 2076, 1995, 1594, 1874, 1175, 1451, 116, 17009, 1309, 1170, 3601, 6917, 12907, 3839, 2079, 488, 131, 123, 123, 31070, 11402, 3463, 176, 19565, 1158, 24926, 1214, 17904, 1188, 1158, 4446, 1304, 20246, 14018, 4054, 4173, 1149, 1125, 1325, 9458, 1451, 16900, 16834, 1188, 1158, 27825, 1125, 31850, 3093, 1601, 1303, 1186, 6806, 1346, 1158, 27561, 1294, 1104, 2806, 30866, 1125, 488, 129, 22368, 1623, 1317, 6322, 119, 1601, 1473, 1186, 1329, 1126, 1524, 4023, 142, 2748, 13359, 1167, 11639, 5532, 2636, 1167, 19574, 2093, 2576, 1603, 10194, 1299, 23185, 1188, 13811, 1325, 1274, 1140, 4537, 3450, 1110, 1913, 5946, 4094, 1186, 2031, 1488, 1376, 1125, 1638, 1467, 9233, 2038, 1250, 1186, 488, 124, 130, 128, 127, 121, 2576, 1740, 28567, 11358, 1318, 5860, 1288, 177, 1125, 3203, 1828, 1473, 1167, 1189, 14306, 1130, 1188, 3203, 1113, 13609, 1643, 3543, 1227, 1455, 186, 2021, 5760, 1125, 4971, 1151, 10997, 1167, 1106, 2078, 1370, 1227, 2271, 4996, 176, 6298, 121, 1643, 2164, 11700, 1227, 1455, 186, 2021, 1299, 2205, 2873, 1452, 3798, 2093, 1548, 13337, 1125, 1325, 9458, 1451, 4289, 1210, 27773, 1325, 9458, 1451, 116, 1299, 1318, 5946, 4516, 16970, 1364, 1186, 22342, 27537, 1317, 11402, 31549, 6298, 121, 1808, 6133, 1593, 3992, 1125, 1158, 4446, 1125, 4173, 1149, 1508, 1904, 4169, 19227, 1227, 21152, 30652, 1227, 13337, 121, 1653, 14839, 1527, 12262, 2069, 1919, 4740, 1328, 20593, 1104, 1270, 3724, 1473, 1167, 1685, 1958, 1883, 1125, 15630, 1842, 1304, 1379, 30340, 1188, 14756, 1113, 13609, 1548, 13337, 1299, 21146, 1300, 1158, 4575, 1227, 11639, 13313, 14399, 1125, 3281, 6867, 1284, 2757, 488, 124, 132, 131, 128, 8732, 7849, 3608, 12006, 1188, 1158, 4813, 2093, 3699, 7002, 29710, 4173, 1149, 1125, 1325, 9458, 1451, 119, 24926, 1125, 1325, 9458, 1451, 1167, 1125, 1158, 2107, 5519, 3809, 4567, 7216, 3247, 1496, 2937, 31753, 1125, 1158, 24926, 1214, 1125, 3281, 6867, 1284, 119, 1357, 18764, 12074, 1167, 19518, 1304, 20246, 14018, 4054, 23166, 1740, 4192, 1215, 27302, 24993, 8179, 15419, 1170, 488, 125, 2875, 488, 124, 130, 124, 130, 1388, 3742, 8494, 2093, 2576, 1416, 1731, 2028, 1366, 1281, 5209, 19227, 1125, 22938, 1155, 1548, 4523, 2461, 26887, 1109, 1175, 9326, 24885, 116, 15974, 1186, 488, 124, 132, 125, 127, 121, 1653, 488, 124, 132, 130, 127, 119, 1527, 2985, 24697, 18668, 1606, 11183, 29754, 488, 29309, 1548, 1321, 3513, 3967, 28261, 26887, 2982, 9601, 1170, 488, 125, 125, 3201, 488, 124, 132, 124, 132, 2290, 16354, 19978, 1125, 5612, 1306, 5711, 1494, 5520, 2205, 15006, 2391, 1197, 20244, 5402, 17333, 1167, 4059, 3045, 1155, 1548, 1270, 5892, 1125, 12799, 183, 8222, 19778, 1835, 488, 124, 131, 132, 123, 1167, 488, 124, 132, 123, 123, 2290, 1158, 4595, 1125, 18651, 1783, 1410, 1470, 1108, 24890, 5532, 1354, 16718, 1424, 488, 7649, 9229, 2093, 161, 4824, 1125, 1158, 25170, 1185, 5597, 31090, 1125, 13702, 27659, 6867, 1284, 1530, 3809, 4567, 1175, 3417, 1515, 8136, 1199, 1376, 1125, 5613, 1243, 5867, 27092, 1460, 116, 114, 32001, 1424, 32000, 20036, 24623, 162, 9458, 1451, 1299, 1189, 7130, 1125, 1158, 4813, 20120, 1125, 3281, 6867, 1284, 7216, 10816, 1257, 1173, 2268, 191, 1352, 1284, 116, 10019, 1186, 25170, 1185, 5597, 31090, 1167, 1186, 17487, 8101, 1767, 1313, 1158, 10660, 1125, 31906, 121, 3559, 5715, 3247, 1227, 7130, 1281, 5209, 1300, 1170, 7019, 2028, 1132, 5519, 3809, 4567, 7216, 10816, 1257, 4148, 1140, 4023, 22498, 3111, 1424, 17971, 488, 124, 1107, 2749, 488, 125, 123, 125, 124, 119, 1170, 7130, 6036, 1370, 488, 126, 130, 125, 11411, 9005, 3247, 1125, 1158, 4813, 1125, 3281, 6867, 1284, 1167, 488, 126, 124, 11411, 21146, 1313, 1158, 4813, 5519, 3809, 4567, 1167, 25393, 1170, 2102, 1125, 1158, 5646, 5277, 488, 129, 130, 129, 1835, 1192, 3809, 4567, 1167, 3281, 6867, 1284, 7745, 1123, 10878, 1167, 5456, 10791, 7130, 1125, 1325, 9458, 1451, 1299, 4771, 3634, 1188, 1158, 10544, 2335, 4170, 1152, 1390, 1105, 1313, 1189, 8608, 20723, 1125, 3432, 180, 19330, 4511, 21204, 1227, 7130, 2368, 27563, 1189, 2511, 25933, 23672, 1657, 2093, 162, 9458, 1451, 1281, 18381, 1188, 488, 128, 7275, 1317, 20449, 1182, 1125, 1158, 3837, 1125, 3281, 6867, 1284, 121, 29619, 1132, 5815, 1227, 7130, 22072, 1125, 488, 126, 130, 126, 1188, 488, 127, 131, 131, 13061, 1175, 127, 124, 123, 1188, 22938, 1167, 488, 126, 130, 126, 1188, 19543, 4023, 30609, 1424, 162, 9458, 1451, 1299, 15000, 4568, 1256, 1158, 3453, 2768, 1186, 488, 124, 123, 128, 129, 119, 2076, 1995, 1594, 1874, 1175, 1451, 116, 17009, 1309, 1170, 3601, 6917, 12907, 3839, 2079, 488, 131, 123, 123, 31070, 11402, 3463, 176, 19565, 1158, 24926, 1214, 17904, 1188, 1158, 4446, 1304, 20246, 14018, 4054, 4173, 1149, 1125, 1325, 9458, 1451, 16900, 16834, 1188, 1158, 27825, 1125, 31850, 3093, 1601, 1303, 1186, 6806, 1346, 1158, 27561, 1294, 1104, 2806, 30866, 1125, 488, 129, 22368, 1623, 1317, 6322, 119, 1601, 1473, 1186, 1329, 1126, 1524, 4023, 142, 2748, 13359, 1167, 11639, 5532, 2636, 1167, 19574, 2093, 2576, 1603, 10194, 1299, 23185, 1188, 13811, 1325, 1274, 1140, 4537, 3450, 1110, 1913, 5946, 4094, 1186, 2031, 1488, 1376, 1125, 1638, 1467, 9233, 2038, 1250, 1186, 488, 124, 130, 128, 127, 121, 2576, 1740, 28567, 11358, 1318, 5860, 1288, 177, 1125, 3203, 1828, 1473, 1167, 1189, 14306, 1130, 1188, 3203, 1113, 13609, 1643, 3543, 1227, 1455, 186, 2021, 5760, 1125, 4971, 1151, 10997, 1167, 1106, 2078, 1370, 1227, 2271, 4996, 176, 6298, 121, 1643, 2164, 11700, 1227, 1455, 186, 2021, 1299, 2205, 2873, 1452, 3798, 2093, 1548, 13337, 1125, 1325, 9458, 1451, 4289, 1210, 27773, 1325, 9458, 1451, 116, 1299, 1318, 5946, 4516, 16970, 1364, 1186, 22342, 27537, 1317, 11402, 31549, 6298, 121, 1808, 6133, 1593, 3992, 1125, 1158, 4446, 1125, 4173, 1149, 1508, 1904, 4169, 19227, 1227, 21152, 30652, 1227, 13337, 121, 1653, 14839, 1527, 12262, 2069, 1919, 4740, 1328, 20593, 1104, 1270, 3724, 1473, 1167, 1685, 1958, 1883, 1125, 15630, 1842, 1304, 1379, 30340, 1188, 14756, 1113, 13609, 1548, 13337, 1299, 21146, 1300, 1158, 4575, 1227, 11639, 13313, 14399, 1125, 3281, 6867, 1284, 2757, 488, 124, 132, 131, 128, 8732, 7849, 3608, 12006, 1188, 1158, 4813, 2093, 3699, 7002, 29710, 4173, 1149, 1125, 1325, 9458, 1451, 119, 24926, 1125, 1325, 9458, 1451, 1167, 1125, 1158, 2107, 5519, 3809, 4567, 7216, 3247, 1496, 2937, 31753, 1125, 1158, 24926, 1214, 1125, 3281, 6867, 1284, 119, 1357, 18764, 12074, 1167, 19518, 1304, 20246, 14018, 4054, 23166, 1740, 4192, 1215, 27302, 24993, 8179, 15419, 1170, 488, 125, 2875, 488, 124, 130, 124, 130, 1388, 3742, 8494, 2093, 2576, 1416, 1731, 2028, 1366, 1281, 5209, 19227, 1125, 22938, 1155, 1548, 4523, 2461, 26887, 1109, 1175, 9326, 24885, 116, 15974, 1186, 488, 124, 132, 125, 127, 121, 1653, 488, 124, 132, 130, 127, 119, 1527, 2985, 24697, 18668, 1606, 11183, 29754, 488, 29309, 1548, 1321, 3513, 3967, 28261, 26887, 2982, 9601, 1170, 488, 125, 125, 3201, 488, 124, 132, 124, 132, 2290, 16354, 19978, 1125, 5612, 1306, 5711, 1494, 5520, 2205, 15006, 2391, 1197, 20244, 5402, 17333, 1167, 4059, 3045, 1155, 1548, 1270, 5892, 1125, 12799, 183, 8222, 19778, 1835, 488, 124, 131, 132, 123, 1167, 488, 124, 132, 123, 123, 2290, 1158, 4595, 1125, 18651, 1783, 1410, 1470, 1108, 24890, 5532, 1354, 16718, 1424, 488, 7649, 9229, 2093, 161, 4824, 1125, 1158, 25170, 1185, 5597, 31090, 1125, 13702, 27659, 6867, 1284, 1530, 3809, 4567, 1175, 3417, 1515, 8136, 1199, 1376, 1125, 5613, 1243, 5867, 27092, 1460, 116, 114, 32001, 1424, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 162, 9458, 1451, 1299, 1189, 7130, 1125, 1158, 4813, 20120, 1125, 3281, 6867, 1284, 7216, 10816, 1257, 1173, 2268, 191, 1352, 1284, 116, 10019, 1186, 25170, 1185, 5597, 31090, 1167, 1186, 17487, 8101, 1767, 1313, 1158, 10660, 1125, 31906, 121, 3559, 5715, 3247, 1227, 7130, 1281, 5209, 1300, 1170, 7019, 2028, 1132, 5519, 3809, 4567, 7216, 10816, 1257, 4148, 1140, 4023, 22498, 3111, 1424, 17971, 488, 124, 1107, 2749, 488, 125, 123, 125, 124, 119, 1170, 7130, 6036, 1370, 488, 126, 130, 125, 11411, 9005, 3247, 1125, 1158, 4813, 1125, 3281, 6867, 1284, 1167, 488, 126, 124, 11411, 21146, 1313, 1158, 4813, 5519, 3809, 4567, 1167, 25393, 1170, 2102, 1125, 1158, 5646, 5277, 488, 129, 130, 129, 1835, 1192, 3809, 4567, 1167, 3281, 6867, 1284, 7745, 1123, 10878, 1167, 5456, 10791, 7130, 1125, 1325, 9458, 1451, 1299, 4771, 3634, 1188, 1158, 10544, 2335, 4170, 1152, 1390, 1105, 1313, 1189, 8608, 20723, 1125, 3432, 180, 19330, 4511, 21204, 1227, 7130, 2368, 27563, 1189, 2511, 25933, 23672, 1657, 2093, 162, 9458, 1451, 1281, 18381, 1188, 488, 128, 7275, 1317, 20449, 1182, 1125, 1158, 3837, 1125, 3281, 6867, 1284, 121, 29619, 1132, 5815, 1227, 7130, 22072, 1125, 488, 126, 130, 126, 1188, 488, 127, 131, 131, 13061, 1175, 127, 124, 123, 1188, 22938, 1167, 488, 126, 130, 126, 1188, 19543, 4023, 30609, 1424, 162, 9458, 1451, 1299, 15000, 4568, 1256, 1158, 3453, 2768, 1186, 488, 124, 123, 128, 129, 119, 2076, 1995, 1594, 1874, 1175, 1451, 116, 17009, 1309, 1170, 3601, 6917, 12907, 3839, 2079, 488, 131, 123, 123, 31070, 11402, 3463, 176, 19565, 1158, 24926, 1214, 17904, 1188, 1158, 4446, 1304, 20246, 14018, 4054, 4173, 1149, 1125, 1325, 9458, 1451, 16900, 16834, 1188, 1158, 27825, 1125, 31850, 3093, 1601, 1303, 1186, 6806, 1346, 1158, 27561, 1294, 1104, 2806, 30866, 1125, 488, 129, 22368, 1623, 1317, 6322, 119, 1601, 1473, 1186, 1329, 1126, 1524, 4023, 142, 2748, 13359, 1167, 11639, 5532, 2636, 1167, 19574, 2093, 2576, 1603, 10194, 1299, 23185, 1188, 13811, 1325, 1274, 1140, 4537, 3450, 1110, 1913, 5946, 4094, 1186, 2031, 1488, 1376, 1125, 1638, 1467, 9233, 2038, 1250, 1186, 488, 124, 130, 128, 127, 121, 2576, 1740, 28567, 11358, 1318, 5860, 1288, 177, 1125, 3203, 1828, 1473, 1167, 1189, 14306, 1130, 1188, 3203, 1113, 13609, 1643, 3543, 1227, 1455, 186, 2021, 5760, 1125, 4971, 1151, 10997, 1167, 1106, 2078, 1370, 1227, 2271, 4996, 176, 6298, 121, 1643, 2164, 11700, 1227, 1455, 186, 2021, 1299, 2205, 2873, 1452, 3798, 2093, 1548, 13337, 1125, 1325, 9458, 1451, 4289, 1210, 27773, 1325, 9458, 1451, 116, 1299, 1318, 5946, 4516, 16970, 1364, 1186, 22342, 27537, 1317, 11402, 31549, 6298, 121, 1808, 6133, 1593, 3992, 1125, 1158, 4446, 1125, 4173, 1149, 1508, 1904, 4169, 19227, 1227, 21152, 30652, 1227, 13337, 121, 1653, 14839, 1527, 12262, 2069, 1919, 4740, 1328, 20593, 1104, 1270, 3724, 1473, 1167, 1685, 1958, 1883, 1125, 15630, 1842, 1304, 1379, 30340, 1188, 14756, 1113, 13609, 1548, 13337, 1299, 21146, 1300, 1158, 4575, 1227, 11639, 13313, 14399, 1125, 3281, 6867, 1284, 2757, 488, 124, 132, 131, 128, 8732, 7849, 3608, 12006, 1188, 1158, 4813, 2093, 3699, 7002, 29710, 4173, 1149, 1125, 1325, 9458, 1451, 119, 24926, 1125, 1325, 9458, 1451, 1167, 1125, 1158, 2107, 5519, 3809, 4567, 7216, 3247, 1496, 2937, 31753, 1125, 1158, 24926, 1214, 1125, 3281, 6867, 1284, 119, 1357, 18764, 12074, 1167, 19518, 1304, 20246, 14018, 4054, 23166, 1740, 4192, 1215, 27302, 24993, 8179, 15419, 1170, 488, 125, 2875, 488, 124, 130, 124, 130, 1388, 3742, 8494, 2093, 2576, 1416, 1731, 2028, 1366, 1281, 5209, 19227, 1125, 22938, 1155, 1548, 4523, 2461, 26887, 1109, 1175, 9326, 24885, 116, 15974, 1186, 488, 124, 132, 125, 127, 121, 1653, 488, 124, 132, 130, 127, 119, 1527, 2985, 24697, 18668, 1606, 11183, 29754, 488, 29309, 1548, 1321, 3513, 3967, 28261, 26887, 2982, 9601, 1170, 488, 125, 125, 3201, 488, 124, 132, 124, 132, 2290, 16354, 19978, 1125, 5612, 1306, 5711, 1494, 5520, 2205, 15006, 2391, 1197, 20244, 5402, 17333, 1167, 4059, 3045, 1155, 1548, 1270, 5892, 1125, 12799, 183, 8222, 19778, 1835, 488, 124, 131, 132, 123, 1167, 488, 124, 132, 123, 123, 2290, 1158, 4595, 1125, 18651, 1783, 1410, 1470, 1108, 24890, 5532, 1354, 16718, 1424, 488, 7649, 9229, 2093, 161, 4824, 1125, 1158, 25170, 1185, 5597, 31090, 1125, 13702, 27659, 6867, 1284, 1530, 3809, 4567, 1175, 3417, 1515, 8136, 1199, 1376, 1125, 5613, 1243, 5867, 27092, 1460, 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, 12616, 488, 129, 2010, 27188, 1183, 244, 1433, 183, 184, 12657, 1314, 1175, 129, 3046, 2275, 116, 1362, 488, 129, 120, 1183, 244, 1433, 183, 184, 12657, 1314, 1175, 129, 120, 2275, 116, 1299, 6113, 1197, 3203, 4972, 15573, 3077, 14847, 1125, 4428, 16253, 1245, 1175, 1331, 1183, 244, 1433, 183, 184, 12657, 1314, 1496, 1207, 2905, 6058, 1158, 24127, 1314, 1167, 1158, 488, 126, 2010, 27188, 1183, 244, 1433, 183, 184, 12657, 1314, 1175, 126, 3046, 2275, 116, 3713, 2864, 6103, 10803, 488, 129, 3046, 2275, 1299, 16233, 7581, 1188, 3862, 1125, 4428, 16253, 1245, 1313, 1170, 26154, 2648, 1299, 2666, 4972, 15573, 6657, 1186, 24127, 1314, 2666, 3572, 8170, 1303, 1313, 1282, 1136, 4994, 8921, 1158, 488, 129, 3046, 2275, 1299, 1189, 4972, 15573, 1286, 3430, 1125, 4428, 16253, 6664, 1561, 7751, 1313, 1282, 1136, 1314, 20978, 1158, 9788, 1125, 4428, 16253, 22631, 16132, 1299, 3283, 2391, 2335, 2126, 1125, 2143, 14936, 13311, 10964, 1125, 9823, 1272, 16958, 23656, 1170, 2126, 8362, 1148, 7492, 1256, 1158, 24127, 3603, 1357, 1299, 1189, 4972, 15573, 1286, 2335, 4093, 2510, 1304, 1273, 180, 1183, 1234, 122, 1273, 2504, 250, 3436, 2593, 1541, 1167, 26221, 1541, 1856, 1158, 14450, 244, 3603, 1170, 30394, 1230, 1125, 24127, 1314, 1167, 4428, 16253, 22631, 8921, 1158, 488, 129, 3046, 2275, 1288, 4933, 1382, 1408, 1125, 488, 124, 125, 4898, 1313, 1282, 1136, 3603, 1189, 31183, 1105, 1304, 1136, 1314, 3233, 1823, 13056, 180, 1996, 2750, 1158, 6128, 9788, 6111, 16253, 6664, 1723, 1158, 7751, 1125, 488, 129, 3046, 2275, 1288, 25413, 7670, 1309, 4428, 16253, 1245, 1110, 1913, 1186, 1844, 13409, 1313, 1207, 8091, 488, 125, 127, 31857, 1643, 488, 129, 3046, 2275, 1281, 5209, 22150, 1313, 1170, 19947, 7011, 1723, 1186, 18646, 1234, 1995, 20272, 1309, 1158, 31726, 1125, 1440, 13644, 1313, 1282, 1136, 1314, 25413, 5854, 1160, 1309, 1125, 4428, 16253, 1245, 1110, 1913, 5710, 1303, 18685, 18726, 179, 16253, 1245, 1299, 7581, 4972, 15573, 6657, 1215, 1207, 1186, 6920, 1623, 1304, 1182, 1356, 1483, 1313, 1170, 24720, 1167, 1110, 1318, 11028, 2517, 1214, 17353, 2107, 7017, 3450, 1110, 2445, 1318, 2385, 1109, 1348, 18891, 11231, 1256, 1207, 1338, 5917, 1392, 1858, 2504, 250, 3436, 26529, 1323, 6060, 1309, 1170, 3274, 488, 126, 4408, 3881, 1150, 195, 1762, 1357, 1299, 18756, 1256, 1158, 25015, 6865, 1317, 1338, 3423, 11682, 1299, 7193, 4568, 1215, 1170, 3274, 1332, 244, 1433, 6204, 1778, 21606, 4428, 16253, 1245, 1299, 7407, 1318, 13536, 5101, 3955, 1357, 12425, 1125, 22595, 1836, 22174, 3157, 1399, 1256, 18472, 3507, 16738, 1125, 1158, 24127, 3603, 1357, 1281, 14277, 6103, 1160, 1469, 1207, 1338, 5917, 1392, 26529, 120, 1273, 2504, 250, 3436, 1388, 4929, 1234, 1419, 1313, 4428, 16253, 1245, 5861, 5812, 16900, 1185, 2759, 2548, 7272, 1524, 1718, 3562, 488, 129, 3046, 2275, 1110, 3839, 1189, 3274, 488, 126, 4408, 3881, 1150, 6807, 6772, 1167, 8478, 1158, 3828, 22174, 3157, 23398, 1125, 4428, 16253, 6664, 2399, 6662, 8050, 1313, 1170, 24720, 1667, 2072, 7581, 1167, 6739, 1382, 4247, 9033, 2627, 1183, 244, 1433, 21619, 1188, 1158, 3620, 488, 129, 1256, 1823, 11486, 3846, 2806, 1440, 1357, 5931, 1158, 488, 129, 2010, 27188, 1183, 244, 1433, 183, 184, 12657, 1314, 1189, 1996, 1408, 11348, 2009, 1309, 4428, 16253, 6664, 1723, 2399, 1299, 28996, 7120, 1303, 1856, 1318, 2143, 14936, 4346, 1146, 1286, 1186, 5169, 1125, 1158, 16730, 12321, 244, 1433, 22239, 2800, 18797, 1125, 1158, 24127, 1314, 1188, 1158, 3620, 488, 129, 2130, 1332, 244, 1433, 22239, 1188, 1158, 3620, 488, 126, 121, 9997, 3547, 1915, 1823, 10439, 180, 1186, 10184, 1125, 10721, 1468, 1332, 5258, 1469, 1189, 5411, 2930, 30600, 6673, 244, 1256, 12218, 10721, 244, 1433, 183, 2071, 1188, 1158, 2320, 1125, 13834, 21727, 3808, 1332, 5258, 119, 6060, 1309, 10721, 1468, 1332, 5258, 4249, 1382, 1189, 9899, 12321, 244, 1433, 22239, 5998, 6525, 1256, 1332, 244, 1433, 2495, 1170, 3274, 488, 126, 4408, 3881, 1150, 6807, 1747, 1538, 1172, 3725, 1723, 1299, 10580, 12321, 244, 1433, 2495, 1170, 3274, 488, 129, 4408, 3881, 1150, 195, 1762, 13536, 18479, 2442, 1125, 5228, 2800, 18797, 1125, 1158, 488, 129, 3046, 2275, 6617, 1309, 1125, 4428, 16253, 22631, 1548, 19378, 5162, 1313, 1158, 11615, 1125, 4428, 16253, 1245, 5861, 5812, 11680, 1125, 1158, 488, 129, 3046, 2275, 1313, 1170, 2513, 1622, 2726, 1440, 1357, 1299, 14765, 1197, 8852, 1256, 12286, 1125, 4428, 16253, 1245, 5861, 1111, 5567, 2076, 1995, 2399, 1299, 2864, 1113, 3988, 1915, 1823, 1408, 11348, 2009, 1309, 5695, 2604, 6235, 6111, 16253, 1245, 1186, 19316, 24890, 1194, 154, 2990, 1183, 244, 106, 127, 119, 128, 26076, 187, 2085, 3291, 12657, 1109, 2988, 2586, 22439, 1332, 5258, 10701, 1538, 1172, 18484, 1105, 2038, 1197, 1338, 5917, 1392, 1858, 180, 1183, 1234, 26529, 114, 32001, 1424, 32000, 20036, 2895, 488, 129, 2010, 27188, 1183, 244, 1433, 183, 184, 12657, 1314, 1175, 129, 3046, 2275, 116, 1362, 488, 129, 120, 1183, 244, 1433, 183, 184, 12657, 1314, 1175, 129, 120, 2275, 116, 1299, 6113, 1197, 3203, 4972, 15573, 3077, 14847, 1125, 4428, 16253, 1245, 1175, 1331, 1183, 244, 1433, 183, 184, 12657, 1314, 1496, 1207, 2905, 6058, 1158, 24127, 1314, 1167, 1158, 488, 126, 2010, 27188, 1183, 244, 1433, 183, 184, 12657, 1314, 1175, 126, 3046, 2275, 116, 3713, 2864, 6103, 10803, 488, 129, 3046, 2275, 1299, 16233, 7581, 1188, 3862, 1125, 4428, 16253, 1245, 1313, 1170, 26154, 2648, 1299, 2666, 4972, 15573, 6657, 1186, 24127, 1314, 2666, 3572, 8170, 1303, 1313, 1282, 1136, 4994, 8921, 1158, 488, 129, 3046, 2275, 1299, 1189, 4972, 15573, 1286, 3430, 1125, 4428, 16253, 6664, 1561, 7751, 1313, 1282, 1136, 1314, 20978, 1158, 9788, 1125, 4428, 16253, 22631, 16132, 1299, 3283, 2391, 2335, 2126, 1125, 2143, 14936, 13311, 10964, 1125, 9823, 1272, 16958, 23656, 1170, 2126, 8362, 1148, 7492, 1256, 1158, 24127, 3603, 1357, 1299, 1189, 4972, 15573, 1286, 2335, 4093, 2510, 1304, 1273, 180, 1183, 1234, 122, 1273, 2504, 250, 3436, 2593, 1541, 1167, 26221, 1541, 1856, 1158, 14450, 244, 3603, 1170, 30394, 1230, 1125, 24127, 1314, 1167, 4428, 16253, 22631, 8921, 1158, 488, 129, 3046, 2275, 1288, 4933, 1382, 1408, 1125, 488, 124, 125, 4898, 1313, 1282, 1136, 3603, 1189, 31183, 1105, 1304, 1136, 1314, 3233, 1823, 13056, 180, 1996, 2750, 1158, 6128, 9788, 6111, 16253, 6664, 1723, 1158, 7751, 1125, 488, 129, 3046, 2275, 1288, 25413, 7670, 1309, 4428, 16253, 1245, 1110, 1913, 1186, 1844, 13409, 1313, 1207, 8091, 488, 125, 127, 31857, 1643, 488, 129, 3046, 2275, 1281, 5209, 22150, 1313, 1170, 19947, 7011, 1723, 1186, 18646, 1234, 1995, 20272, 1309, 1158, 31726, 1125, 1440, 13644, 1313, 1282, 1136, 1314, 25413, 5854, 1160, 1309, 1125, 4428, 16253, 1245, 1110, 1913, 5710, 1303, 18685, 18726, 179, 16253, 1245, 1299, 7581, 4972, 15573, 6657, 1215, 1207, 1186, 6920, 1623, 1304, 1182, 1356, 1483, 1313, 1170, 24720, 1167, 1110, 1318, 11028, 2517, 1214, 17353, 2107, 7017, 3450, 1110, 2445, 1318, 2385, 1109, 1348, 18891, 11231, 1256, 1207, 1338, 5917, 1392, 1858, 2504, 250, 3436, 26529, 1323, 6060, 1309, 1170, 3274, 488, 126, 4408, 3881, 1150, 195, 1762, 1357, 1299, 18756, 1256, 1158, 25015, 6865, 1317, 1338, 3423, 11682, 1299, 7193, 4568, 1215, 1170, 3274, 1332, 244, 1433, 6204, 1778, 21606, 4428, 16253, 1245, 1299, 7407, 1318, 13536, 5101, 3955, 1357, 12425, 1125, 22595, 1836, 22174, 3157, 1399, 1256, 18472, 3507, 16738, 1125, 1158, 24127, 3603, 1357, 1281, 14277, 6103, 1160, 1469, 1207, 1338, 5917, 1392, 26529, 120, 1273, 2504, 250, 3436, 1388, 4929, 1234, 1419, 1313, 4428, 16253, 1245, 5861, 5812, 16900, 1185, 2759, 2548, 7272, 1524, 1718, 3562, 488, 129, 3046, 2275, 1110, 3839, 1189, 3274, 488, 126, 4408, 3881, 1150, 6807, 6772, 1167, 8478, 1158, 3828, 22174, 3157, 23398, 1125, 4428, 16253, 6664, 2399, 6662, 8050, 1313, 1170, 24720, 1667, 2072, 7581, 1167, 6739, 1382, 4247, 9033, 2627, 1183, 244, 1433, 21619, 1188, 1158, 3620, 488, 129, 1256, 1823, 11486, 3846, 2806, 1440, 1357, 5931, 1158, 488, 129, 2010, 27188, 1183, 244, 1433, 183, 184, 12657, 1314, 1189, 1996, 1408, 11348, 2009, 1309, 4428, 16253, 6664, 1723, 2399, 1299, 28996, 7120, 1303, 1856, 1318, 2143, 14936, 4346, 1146, 1286, 1186, 5169, 1125, 1158, 16730, 12321, 244, 1433, 22239, 2800, 18797, 1125, 1158, 24127, 1314, 1188, 1158, 3620, 488, 129, 2130, 1332, 244, 1433, 22239, 1188, 1158, 3620, 488, 126, 121, 9997, 3547, 1915, 1823, 10439, 180, 1186, 10184, 1125, 10721, 1468, 1332, 5258, 1469, 1189, 5411, 2930, 30600, 6673, 244, 1256, 12218, 10721, 244, 1433, 183, 2071, 1188, 1158, 2320, 1125, 13834, 21727, 3808, 1332, 5258, 119, 6060, 1309, 10721, 1468, 1332, 5258, 4249, 1382, 1189, 9899, 12321, 244, 1433, 22239, 5998, 6525, 1256, 1332, 244, 1433, 2495, 1170, 3274, 488, 126, 4408, 3881, 1150, 6807, 1747, 1538, 1172, 3725, 1723, 1299, 10580, 12321, 244, 1433, 2495, 1170, 3274, 488, 129, 4408, 3881, 1150, 195, 1762, 13536, 18479, 2442, 1125, 5228, 2800, 18797, 1125, 1158, 488, 129, 3046, 2275, 6617, 1309, 1125, 4428, 16253, 22631, 1548, 19378, 5162, 1313, 1158, 11615, 1125, 4428, 16253, 1245, 5861, 5812, 11680, 1125, 1158, 488, 129, 3046, 2275, 1313, 1170, 2513, 1622, 2726, 1440, 1357, 1299, 14765, 1197, 8852, 1256, 12286, 1125, 4428, 16253, 1245, 5861, 1111, 5567, 2076, 1995, 2399, 1299, 2864, 1113, 3988, 1915, 1823, 1408, 11348, 2009, 1309, 5695, 2604, 6235, 6111, 16253, 1245, 1186, 19316, 24890, 1194, 154, 2990, 1183, 244, 106, 127, 119, 128, 26076, 187, 2085, 3291, 12657, 1109, 2988, 2586, 22439, 1332, 5258, 10701, 1538, 1172, 18484, 1105, 2038, 1197, 1338, 5917, 1392, 1858, 180, 1183, 1234, 26529, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 129, 2010, 27188, 1183, 244, 1433, 183, 184, 12657, 1314, 1175, 129, 3046, 2275, 116, 1362, 488, 129, 120, 1183, 244, 1433, 183, 184, 12657, 1314, 1175, 129, 120, 2275, 116, 1299, 6113, 1197, 3203, 4972, 15573, 3077, 14847, 1125, 4428, 16253, 1245, 1175, 1331, 1183, 244, 1433, 183, 184, 12657, 1314, 1496, 1207, 2905, 6058, 1158, 24127, 1314, 1167, 1158, 488, 126, 2010, 27188, 1183, 244, 1433, 183, 184, 12657, 1314, 1175, 126, 3046, 2275, 116, 3713, 2864, 6103, 10803, 488, 129, 3046, 2275, 1299, 16233, 7581, 1188, 3862, 1125, 4428, 16253, 1245, 1313, 1170, 26154, 2648, 1299, 2666, 4972, 15573, 6657, 1186, 24127, 1314, 2666, 3572, 8170, 1303, 1313, 1282, 1136, 4994, 8921, 1158, 488, 129, 3046, 2275, 1299, 1189, 4972, 15573, 1286, 3430, 1125, 4428, 16253, 6664, 1561, 7751, 1313, 1282, 1136, 1314, 20978, 1158, 9788, 1125, 4428, 16253, 22631, 16132, 1299, 3283, 2391, 2335, 2126, 1125, 2143, 14936, 13311, 10964, 1125, 9823, 1272, 16958, 23656, 1170, 2126, 8362, 1148, 7492, 1256, 1158, 24127, 3603, 1357, 1299, 1189, 4972, 15573, 1286, 2335, 4093, 2510, 1304, 1273, 180, 1183, 1234, 122, 1273, 2504, 250, 3436, 2593, 1541, 1167, 26221, 1541, 1856, 1158, 14450, 244, 3603, 1170, 30394, 1230, 1125, 24127, 1314, 1167, 4428, 16253, 22631, 8921, 1158, 488, 129, 3046, 2275, 1288, 4933, 1382, 1408, 1125, 488, 124, 125, 4898, 1313, 1282, 1136, 3603, 1189, 31183, 1105, 1304, 1136, 1314, 3233, 1823, 13056, 180, 1996, 2750, 1158, 6128, 9788, 6111, 16253, 6664, 1723, 1158, 7751, 1125, 488, 129, 3046, 2275, 1288, 25413, 7670, 1309, 4428, 16253, 1245, 1110, 1913, 1186, 1844, 13409, 1313, 1207, 8091, 488, 125, 127, 31857, 1643, 488, 129, 3046, 2275, 1281, 5209, 22150, 1313, 1170, 19947, 7011, 1723, 1186, 18646, 1234, 1995, 20272, 1309, 1158, 31726, 1125, 1440, 13644, 1313, 1282, 1136, 1314, 25413, 5854, 1160, 1309, 1125, 4428, 16253, 1245, 1110, 1913, 5710, 1303, 18685, 18726, 179, 16253, 1245, 1299, 7581, 4972, 15573, 6657, 1215, 1207, 1186, 6920, 1623, 1304, 1182, 1356, 1483, 1313, 1170, 24720, 1167, 1110, 1318, 11028, 2517, 1214, 17353, 2107, 7017, 3450, 1110, 2445, 1318, 2385, 1109, 1348, 18891, 11231, 1256, 1207, 1338, 5917, 1392, 1858, 2504, 250, 3436, 26529, 1323, 6060, 1309, 1170, 3274, 488, 126, 4408, 3881, 1150, 195, 1762, 1357, 1299, 18756, 1256, 1158, 25015, 6865, 1317, 1338, 3423, 11682, 1299, 7193, 4568, 1215, 1170, 3274, 1332, 244, 1433, 6204, 1778, 21606, 4428, 16253, 1245, 1299, 7407, 1318, 13536, 5101, 3955, 1357, 12425, 1125, 22595, 1836, 22174, 3157, 1399, 1256, 18472, 3507, 16738, 1125, 1158, 24127, 3603, 1357, 1281, 14277, 6103, 1160, 1469, 1207, 1338, 5917, 1392, 26529, 120, 1273, 2504, 250, 3436, 1388, 4929, 1234, 1419, 1313, 4428, 16253, 1245, 5861, 5812, 16900, 1185, 2759, 2548, 7272, 1524, 1718, 3562, 488, 129, 3046, 2275, 1110, 3839, 1189, 3274, 488, 126, 4408, 3881, 1150, 6807, 6772, 1167, 8478, 1158, 3828, 22174, 3157, 23398, 1125, 4428, 16253, 6664, 2399, 6662, 8050, 1313, 1170, 24720, 1667, 2072, 7581, 1167, 6739, 1382, 4247, 9033, 2627, 1183, 244, 1433, 21619, 1188, 1158, 3620, 488, 129, 1256, 1823, 11486, 3846, 2806, 1440, 1357, 5931, 1158, 488, 129, 2010, 27188, 1183, 244, 1433, 183, 184, 12657, 1314, 1189, 1996, 1408, 11348, 2009, 1309, 4428, 16253, 6664, 1723, 2399, 1299, 28996, 7120, 1303, 1856, 1318, 2143, 14936, 4346, 1146, 1286, 1186, 5169, 1125, 1158, 16730, 12321, 244, 1433, 22239, 2800, 18797, 1125, 1158, 24127, 1314, 1188, 1158, 3620, 488, 129, 2130, 1332, 244, 1433, 22239, 1188, 1158, 3620, 488, 126, 121, 9997, 3547, 1915, 1823, 10439, 180, 1186, 10184, 1125, 10721, 1468, 1332, 5258, 1469, 1189, 5411, 2930, 30600, 6673, 244, 1256, 12218, 10721, 244, 1433, 183, 2071, 1188, 1158, 2320, 1125, 13834, 21727, 3808, 1332, 5258, 119, 6060, 1309, 10721, 1468, 1332, 5258, 4249, 1382, 1189, 9899, 12321, 244, 1433, 22239, 5998, 6525, 1256, 1332, 244, 1433, 2495, 1170, 3274, 488, 126, 4408, 3881, 1150, 6807, 1747, 1538, 1172, 3725, 1723, 1299, 10580, 12321, 244, 1433, 2495, 1170, 3274, 488, 129, 4408, 3881, 1150, 195, 1762, 13536, 18479, 2442, 1125, 5228, 2800, 18797, 1125, 1158, 488, 129, 3046, 2275, 6617, 1309, 1125, 4428, 16253, 22631, 1548, 19378, 5162, 1313, 1158, 11615, 1125, 4428, 16253, 1245, 5861, 5812, 11680, 1125, 1158, 488, 129, 3046, 2275, 1313, 1170, 2513, 1622, 2726, 1440, 1357, 1299, 14765, 1197, 8852, 1256, 12286, 1125, 4428, 16253, 1245, 5861, 1111, 5567, 2076, 1995, 2399, 1299, 2864, 1113, 3988, 1915, 1823, 1408, 11348, 2009, 1309, 5695, 2604, 6235, 6111, 16253, 1245, 1186, 19316, 24890, 1194, 154, 2990, 1183, 244, 106, 127, 119, 128, 26076, 187, 2085, 3291, 12657, 1109, 2988, 2586, 22439, 1332, 5258, 10701, 1538, 1172, 18484, 1105, 2038, 1197, 1338, 5917, 1392, 1858, 180, 1183, 1234, 26529, 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, 14807, 20028, 26561, 18131, 1222, 196, 1784, 1362, 10589, 1222, 196, 1784, 21982, 2079, 1318, 30789, 1257, 1318, 4227, 1277, 1175, 2336, 1139, 11686, 2172, 181, 182, 4023, 161, 1662, 2972, 133, 17322, 5275, 5544, 30454, 182, 2765, 10589, 5452, 30454, 5544, 10589, 30454, 17566, 10589, 5452, 30454, 1347, 1763, 5275, 1784, 119, 30454, 1784, 1285, 10589, 30454, 1784, 119, 10589, 30454, 1784, 190, 1763, 196, 5544, 1222, 196, 182, 2765, 10589, 1222, 196, 5544, 10589, 1222, 196, 5657, 1763, 196, 1784, 119, 1222, 5451, 17566, 5452, 1222, 196, 1784, 119, 5452, 1222, 5451, 1347, 1763, 2839, 1784, 119, 1867, 5275, 1784, 119, 10589, 1867, 196, 1784, 119, 10589, 1867, 5275, 1784, 2073, 1119, 24745, 1347, 5486, 1265, 192, 1146, 188, 1853, 1274, 196, 1784, 12662, 7849, 3608, 1339, 141, 3178, 1269, 7829, 2333, 1222, 196, 1784, 1175, 124, 132, 126, 129, 120, 125, 123, 124, 125, 1496, 5598, 3657, 25784, 1474, 24832, 2356, 147, 5597, 185, 1222, 196, 1784, 1175, 124, 131, 124, 125, 120, 124, 131, 130, 127, 1496, 18866, 1167, 10977, 1793, 10816, 2356, 149, 27505, 1125, 5308, 23133, 1891, 1633, 1201, 1512, 1176, 191, 4853, 196, 1784, 1175, 124, 130, 130, 126, 120, 124, 131, 129, 124, 1496, 23366, 1125, 5308, 184, 4853, 196, 1784, 1167, 1227, 3281, 7480, 26875, 2356, 151, 1292, 2323, 1222, 196, 1784, 4419, 1303, 1186, 488, 124, 132, 127, 128, 1496, 21272, 3657, 12870, 3556, 2356, 161, 17529, 27728, 1222, 196, 1784, 119, 31891, 2356, 162, 1132, 1732, 9905, 1222, 196, 1784, 1175, 124, 131, 128, 129, 120, 124, 132, 126, 127, 1496, 8287, 244, 9092, 1354, 10816, 30039, 2072, 1257, 6343, 4908, 1125, 5308, 184, 4853, 196, 1784, 4196, 8033, 1125, 1222, 196, 1784, 119, 9810, 1538, 1119, 4654, 32001, 1424, 32000, 20036, 2359, 14807, 20028, 26561, 18131, 1222, 196, 1784, 1362, 10589, 1222, 196, 1784, 21982, 2079, 1318, 30789, 1257, 1318, 4227, 1277, 1175, 2336, 1139, 11686, 2172, 181, 182, 4023, 161, 1662, 2972, 133, 17322, 5275, 5544, 30454, 182, 2765, 10589, 5452, 30454, 5544, 10589, 30454, 17566, 10589, 5452, 30454, 1347, 1763, 5275, 1784, 119, 30454, 1784, 1285, 10589, 30454, 1784, 119, 10589, 30454, 1784, 190, 1763, 196, 5544, 1222, 196, 182, 2765, 10589, 1222, 196, 5544, 10589, 1222, 196, 5657, 1763, 196, 1784, 119, 1222, 5451, 17566, 5452, 1222, 196, 1784, 119, 5452, 1222, 5451, 1347, 1763, 2839, 1784, 119, 1867, 5275, 1784, 119, 10589, 1867, 196, 1784, 119, 10589, 1867, 5275, 1784, 2073, 1119, 24745, 1347, 5486, 1265, 192, 1146, 188, 1853, 1274, 196, 1784, 12662, 7849, 3608, 1339, 141, 3178, 1269, 7829, 2333, 1222, 196, 1784, 1175, 124, 132, 126, 129, 120, 125, 123, 124, 125, 1496, 5598, 3657, 25784, 1474, 24832, 2356, 147, 5597, 185, 1222, 196, 1784, 1175, 124, 131, 124, 125, 120, 124, 131, 130, 127, 1496, 18866, 1167, 10977, 1793, 10816, 2356, 149, 27505, 1125, 5308, 23133, 1891, 1633, 1201, 1512, 1176, 191, 4853, 196, 1784, 1175, 124, 130, 130, 126, 120, 124, 131, 129, 124, 1496, 23366, 1125, 5308, 184, 4853, 196, 1784, 1167, 1227, 3281, 7480, 26875, 2356, 151, 1292, 2323, 1222, 196, 1784, 4419, 1303, 1186, 488, 124, 132, 127, 128, 1496, 21272, 3657, 12870, 3556, 2356, 161, 17529, 27728, 1222, 196, 1784, 119, 31891, 2356, 162, 1132, 1732, 9905, 1222, 196, 1784, 1175, 124, 131, 128, 129, 120, 124, 132, 126, 127, 1496, 8287, 244, 9092, 1354, 10816, 30039, 2072, 1257, 6343, 4908, 1125, 5308, 184, 4853, 196, 1784, 4196, 8033, 1125, 1222, 196, 1784, 119, 9810, 1538, 1119, 4654, 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, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 14807, 20028, 26561, 18131, 1222, 196, 1784, 1362, 10589, 1222, 196, 1784, 21982, 2079, 1318, 30789, 1257, 1318, 4227, 1277, 1175, 2336, 1139, 11686, 2172, 181, 182, 4023, 161, 1662, 2972, 133, 17322, 5275, 5544, 30454, 182, 2765, 10589, 5452, 30454, 5544, 10589, 30454, 17566, 10589, 5452, 30454, 1347, 1763, 5275, 1784, 119, 30454, 1784, 1285, 10589, 30454, 1784, 119, 10589, 30454, 1784, 190, 1763, 196, 5544, 1222, 196, 182, 2765, 10589, 1222, 196, 5544, 10589, 1222, 196, 5657, 1763, 196, 1784, 119, 1222, 5451, 17566, 5452, 1222, 196, 1784, 119, 5452, 1222, 5451, 1347, 1763, 2839, 1784, 119, 1867, 5275, 1784, 119, 10589, 1867, 196, 1784, 119, 10589, 1867, 5275, 1784, 2073, 1119, 24745, 1347, 5486, 1265, 192, 1146, 188, 1853, 1274, 196, 1784, 12662, 7849, 3608, 1339, 141, 3178, 1269, 7829, 2333, 1222, 196, 1784, 1175, 124, 132, 126, 129, 120, 125, 123, 124, 125, 1496, 5598, 3657, 25784, 1474, 24832, 2356, 147, 5597, 185, 1222, 196, 1784, 1175, 124, 131, 124, 125, 120, 124, 131, 130, 127, 1496, 18866, 1167, 10977, 1793, 10816, 2356, 149, 27505, 1125, 5308, 23133, 1891, 1633, 1201, 1512, 1176, 191, 4853, 196, 1784, 1175, 124, 130, 130, 126, 120, 124, 131, 129, 124, 1496, 23366, 1125, 5308, 184, 4853, 196, 1784, 1167, 1227, 3281, 7480, 26875, 2356, 151, 1292, 2323, 1222, 196, 1784, 4419, 1303, 1186, 488, 124, 132, 127, 128, 1496, 21272, 3657, 12870, 3556, 2356, 161, 17529, 27728, 1222, 196, 1784, 119, 31891, 2356, 162, 1132, 1732, 9905, 1222, 196, 1784, 1175, 124, 131, 128, 129, 120, 124, 132, 126, 127, 1496, 8287, 244, 9092, 1354, 10816, 30039, 2072, 1257, 6343, 4908, 1125, 5308, 184, 4853, 196, 1784, 4196, 8033, 1125, 1222, 196, 1784, 119, 9810, 1538, 1119, 4654, 32001, 1424, 2 ]