Search is not available for this dataset
input_ids
sequencelengths
512
512
attention_mask
sequencelengths
512
512
labels
sequencelengths
512
512
[ 0, 1182, 16648, 631, 3813, 12570, 36828, 45225, 2334, 1182, 1182, 1182, 50223, 1865, 1075, 170, 498, 8, 2185, 638, 508, 5, 31580, 50209, 29608, 10833, 5, 17, 14523, 87, 6, 108, 96, 8842, 15086, 3731, 5352, 50223, 190, 4083, 6284, 3333, 50223, 1046, 158, 5, 186, 1182, 50223, 34124, 7306, 400, 1182, 50223, 225, 1402, 654, 13164, 1672, 50244, 48140, 7143, 8867, 26967, 2974, 53, 8, 3701, 1182, 1182, 50223, 34112, 3288, 50244, 552, 2201, 1166, 342, 119, 4, 563, 10668, 1426, 2629, 50223, 272, 24069, 50244, 2985, 4162, 497, 5438, 528, 50223, 182, 15563, 50244, 292, 196, 1164, 266, 3192, 1659, 50223, 18851, 86, 6268, 50244, 26522, 86, 26590, 50223, 12959, 1034, 5668, 50244, 38144, 6016, 1718, 50223, 27418, 2477, 50244, 3218, 1164, 430, 2267, 1196, 2985, 668, 2985, 3192, 974, 497, 3624, 4228, 1182, 48870, 25877, 34543, 50223, 3801, 6503, 430, 2267, 1196, 2985, 668, 2985, 3192, 2985, 2659, 581, 3192, 1182, 48870, 25877, 1686, 50223, 32, 4481, 5040, 6618, 19, 41000, 135, 6779, 33848, 50244, 11806, 5, 16770, 5, 5749, 18173, 78, 4, 19198, 5, 50223, 50189, 32092, 8, 17933, 16, 19, 1182, 1182, 48870, 25177, 147, 1402, 654, 13164, 1672, 48870, 21946, 1182, 1182, 50191, 50223, 3206, 7956, 165, 50244, 14640, 8119, 71, 12, 5, 199, 5, 143, 5, 1182, 1182, 50223, 34112, 3288, 50244, 47542, 7190, 342, 704, 50209, 39330, 497, 4, 563, 2137, 950, 2629, 50223, 272, 24069, 50244, 6051, 15528, 950, 497, 50223, 182, 15563, 50244, 704, 1508, 5307, 196, 2247, 612, 50223, 33504, 50244, 8696, 10, 28270, 8, 23219, 16590, 19168, 50223, 4468, 428, 2629, 186, 4, 2355, 3768, 50244, 130, 270, 4, 159, 40560, 1253, 50244, 3538, 11170, 253, 50209, 32, 50223, 12959, 1034, 5668, 50244, 14338, 3566, 4, 6, 5, 56, 5, 50223, 27418, 2477, 50244, 3218, 15230, 24090, 2985, 668, 2985, 4708, 46177, 328, 539, 1635, 612, 50223, 32, 4481, 392, 6618, 36153, 50244, 351, 474, 6824, 5, 2380, 4613, 606, 50223, 50189, 32092, 8, 17933, 16, 19, 1182, 1182, 48870, 25177, 96, 7956, 165, 48870, 21946, 1182, 1182, 50191, 50223, 50189, 32092, 8, 17933, 393, 16, 19, 1182, 1182, 48870, 25177, 100, 32445, 7306, 400, 48870, 21946, 1182, 1182, 50191, 50223, 1046, 158, 5, 2038, 1182, 50223, 24766, 2212, 14420, 1182, 1182, 50223, 32, 43064, 73, 3054, 1948, 22983, 1572, 9, 11450, 11179, 5, 638, 508, 5, 31580, 50209, 29608, 10833, 5, 17, 14523, 87, 50223, 71, 108, 96, 8842, 15086, 3731, 5352, 8, 4083, 6284, 3333, 4, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 50223, 1556, 14556, 874, 19088, 8, 4083, 6284, 3333, 4, 11179, 5, 638, 508, 5, 40062, 50209, 15024, 239, 5, 15, 5, 50223, 143, 5970, 4888, 6, 17, 2909, 6, 9689, 1085, 3833, 8, 4083, 6284, 3333, 4, 50223, 1297, 9315, 508, 5, 581, 444, 50209, 11013, 239, 5, 15, 5, 17, 15058, 832, 12, 17990, 26522, 515, 9909, 6, 17, 2909, 638, 50223, 234, 5, 727, 612, 50209, 41793, 239, 5, 15, 5, 17, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 3218, 1164, 430, 2267, 1196, 2985, 668, 2985, 3192, 974, 497, 3624, 4228, 1182, 48870, 25877, 34543, 50223, 3801, 6503, 430, 2267, 1196, 2985, 668, 2985, 3192, 2985, 2659, 581, 3192, 1182, 48870, 25877, 1686, 50223, 32, 4481, 5040, 6618, 19, 41000, 135, 6779, 33848, 50244, 11806, 5, 16770, 5, 5749, 18173, 78, 4, 19198, 5, 50223, 50189, 32092, 8, 17933, 16, 19, 1182, 1182, 48870, 25177, 147, 1402, 654, 13164, 1672, 48870, 21946, 1182, 1182, 50191, 50223, 3206, 7956, 165, 50244, 14640, 8119, 71, 12, 5, 199, 5, 143, 5, 1182, 1182, 50223, 34112, 3288, 50244, 47542, 7190, 342, 704, 50209, 39330, 497, 4, 563, 2137, 950, 2629, 50223, 272, 24069, 50244, 6051, 15528, 950, 497, 50223, 182, 15563, 50244, 704, 1508, 5307, 196, 2247, 612, 50223, 33504, 50244, 8696, 10, 28270, 8, 23219, 16590, 19168, 50223, 4468, 428, 2629, 186, 4, 2355, 3768, 50244, 130, 270, 4, 159, 40560, 1253, 50244, 3538, 11170, 253, 50209, 32, 50223, 12959, 1034, 5668, 50244, 14338, 3566, 4, 6, 5, 56, 5, 50223, 27418, 2477, 50244, 3218, 15230, 24090, 2985, 668, 2985, 4708, 46177, 328, 539, 1635, 612, 50223, 32, 4481, 392, 6618, 36153, 50244, 351, 474, 6824, 5, 2380, 4613, 606, 50223, 50189, 32092, 8, 17933, 16, 19, 1182, 1182, 48870, 25177, 96, 7956, 165, 48870, 21946, 1182, 1182, 50191, 50223, 50189, 32092, 8, 17933, 393, 16, 19, 1182, 1182, 48870, 25177, 100, 32445, 7306, 400, 48870, 21946, 1182, 1182, 50191, 50223, 1046, 158, 5, 2038, 1182, 50223, 24766, 2212, 14420, 1182, 1182, 50223, 32, 43064, 73, 3054, 1948, 22983, 1572, 9, 11450, 11179, 5, 638, 508, 5, 31580, 50209, 29608, 10833, 5, 17, 14523, 87, 50223, 71, 108, 96, 8842, 15086, 3731, 5352, 8, 4083, 6284, 3333, 4, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 50223, 1556, 14556, 874, 19088, 8, 4083, 6284, 3333, 4, 11179, 5, 638, 508, 5, 40062, 50209, 15024, 239, 5, 15, 5, 50223, 143, 5970, 4888, 6, 17, 2909, 6, 9689, 1085, 3833, 8, 4083, 6284, 3333, 4, 50223, 1297, 9315, 508, 5, 581, 444, 50209, 11013, 239, 5, 15, 5, 17, 15058, 832, 12, 17990, 26522, 515, 9909, 6, 17, 2909, 638, 50223, 234, 5, 727, 612, 50209, 41793, 239, 5, 15, 5, 17, 869, 3005, 9035, 36303, 8, 4083, 638, 508, 5, 3914, 328, 50209, 15024, 239, 5, 15, 5, 8, 4083, 50223, 52, 9761, 1197, 3333, 4, 638, 508, 5, 411, 50209, 39285, 239, 5, 15, 17, 20467, 8, 4083, 6284, 24, 34382, 4, 2050, 158, 5, 50223, 6890, 1314, 2322, 508, 5, 16077, 50209, 39285, 239, 5, 15, 551, 2524, 9, 5376, 989, 3494, 1104, 869, 50223, 170, 21605, 81, 17, 20467, 8, 4083, 6284, 3333, 5, 50223, 1046, 47864, 7085, 1182, 50223, 4458, 6666, 34345, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 27023, 1485, 19964, 6967, 50244, 50223, 71, 50191, 529, 3164, 90, 4, 826, 24655, 6565, 1182, 48870, 19594, 318, 48870, 21946, 4, 1253, 826, 24655, 50244, 580, 4549, 50209, 1260, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 8696, 10, 28270, 8, 23219, 16590, 19168, 50223, 4468, 428, 2629, 186, 4, 2355, 3768, 50244, 130, 270, 4, 159, 40560, 1253, 50244, 3538, 11170, 253, 50209, 32, 50223, 12959, 1034, 5668, 50244, 14338, 3566, 4, 6, 5, 56, 5, 50223, 27418, 2477, 50244, 3218, 15230, 24090, 2985, 668, 2985, 4708, 46177, 328, 539, 1635, 612, 50223, 32, 4481, 392, 6618, 36153, 50244, 351, 474, 6824, 5, 2380, 4613, 606, 50223, 50189, 32092, 8, 17933, 16, 19, 1182, 1182, 48870, 25177, 96, 7956, 165, 48870, 21946, 1182, 1182, 50191, 50223, 50189, 32092, 8, 17933, 393, 16, 19, 1182, 1182, 48870, 25177, 100, 32445, 7306, 400, 48870, 21946, 1182, 1182, 50191, 50223, 1046, 158, 5, 2038, 1182, 50223, 24766, 2212, 14420, 1182, 1182, 50223, 32, 43064, 73, 3054, 1948, 22983, 1572, 9, 11450, 11179, 5, 638, 508, 5, 31580, 50209, 29608, 10833, 5, 17, 14523, 87, 50223, 71, 108, 96, 8842, 15086, 3731, 5352, 8, 4083, 6284, 3333, 4, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 50223, 1556, 14556, 874, 19088, 8, 4083, 6284, 3333, 4, 11179, 5, 638, 508, 5, 40062, 50209, 15024, 239, 5, 15, 5, 50223, 143, 5970, 4888, 6, 17, 2909, 6, 9689, 1085, 3833, 8, 4083, 6284, 3333, 4, 50223, 1297, 9315, 508, 5, 581, 444, 50209, 11013, 239, 5, 15, 5, 17, 15058, 832, 12, 17990, 26522, 515, 9909, 6, 17, 2909, 638, 50223, 234, 5, 727, 612, 50209, 41793, 239, 5, 15, 5, 17, 869, 3005, 9035, 36303, 8, 4083, 638, 508, 5, 3914, 328, 50209, 15024, 239, 5, 15, 5, 8, 4083, 50223, 52, 9761, 1197, 3333, 4, 638, 508, 5, 411, 50209, 39285, 239, 5, 15, 17, 20467, 8, 4083, 6284, 24, 34382, 4, 2050, 158, 5, 50223, 6890, 1314, 2322, 508, 5, 16077, 50209, 39285, 239, 5, 15, 551, 2524, 9, 5376, 989, 3494, 1104, 869, 50223, 170, 21605, 81, 17, 20467, 8, 4083, 6284, 3333, 5, 50223, 1046, 47864, 7085, 1182, 50223, 4458, 6666, 34345, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 27023, 1485, 19964, 6967, 50244, 50223, 71, 50191, 529, 3164, 90, 4, 826, 24655, 6565, 1182, 48870, 19594, 318, 48870, 21946, 4, 1253, 826, 24655, 50244, 580, 4549, 50209, 1260, 4, 617, 5048, 50244, 581, 1508, 413, 196, 4, 3197, 50223, 379, 3164, 90, 50244, 3591, 1013, 9552, 6, 30438, 343, 4, 5547, 50244, 2629, 186, 4, 1719, 50244, 2629, 27, 26563, 4, 50223, 53, 109, 29203, 52, 4925, 50244, 7997, 73, 1132, 4, 11596, 2004, 8, 34848, 8472, 7, 44748, 508, 5, 50223, 1164, 8956, 1182, 50189, 32092, 16, 1182, 48870, 25177, 379, 249, 8061, 48870, 19594, 50191, 50245, 50223, 211, 50191, 31669, 510, 4, 31, 2186, 73, 1253, 4574, 411, 8727, 4, 3197, 4574, 50244, 8908, 24, 15502, 4, 7, 6801, 50223, 71, 3327, 4, 3791, 4574, 50244, 11017, 3971, 8908, 33177, 1205, 9176, 5, 6238, 342, 9, 50223, 86, 4753, 50244, 5547, 50244, 2629, 186, 4, 1719, 50244, 2629, 27, 26563, 4, 20944, 52, 4925, 50244, 7997, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 3054, 1948, 22983, 1572, 9, 11450, 11179, 5, 638, 508, 5, 31580, 50209, 29608, 10833, 5, 17, 14523, 87, 50223, 71, 108, 96, 8842, 15086, 3731, 5352, 8, 4083, 6284, 3333, 4, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 50223, 1556, 14556, 874, 19088, 8, 4083, 6284, 3333, 4, 11179, 5, 638, 508, 5, 40062, 50209, 15024, 239, 5, 15, 5, 50223, 143, 5970, 4888, 6, 17, 2909, 6, 9689, 1085, 3833, 8, 4083, 6284, 3333, 4, 50223, 1297, 9315, 508, 5, 581, 444, 50209, 11013, 239, 5, 15, 5, 17, 15058, 832, 12, 17990, 26522, 515, 9909, 6, 17, 2909, 638, 50223, 234, 5, 727, 612, 50209, 41793, 239, 5, 15, 5, 17, 869, 3005, 9035, 36303, 8, 4083, 638, 508, 5, 3914, 328, 50209, 15024, 239, 5, 15, 5, 8, 4083, 50223, 52, 9761, 1197, 3333, 4, 638, 508, 5, 411, 50209, 39285, 239, 5, 15, 17, 20467, 8, 4083, 6284, 24, 34382, 4, 2050, 158, 5, 50223, 6890, 1314, 2322, 508, 5, 16077, 50209, 39285, 239, 5, 15, 551, 2524, 9, 5376, 989, 3494, 1104, 869, 50223, 170, 21605, 81, 17, 20467, 8, 4083, 6284, 3333, 5, 50223, 1046, 47864, 7085, 1182, 50223, 4458, 6666, 34345, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 27023, 1485, 19964, 6967, 50244, 50223, 71, 50191, 529, 3164, 90, 4, 826, 24655, 6565, 1182, 48870, 19594, 318, 48870, 21946, 4, 1253, 826, 24655, 50244, 580, 4549, 50209, 1260, 4, 617, 5048, 50244, 581, 1508, 413, 196, 4, 3197, 50223, 379, 3164, 90, 50244, 3591, 1013, 9552, 6, 30438, 343, 4, 5547, 50244, 2629, 186, 4, 1719, 50244, 2629, 27, 26563, 4, 50223, 53, 109, 29203, 52, 4925, 50244, 7997, 73, 1132, 4, 11596, 2004, 8, 34848, 8472, 7, 44748, 508, 5, 50223, 1164, 8956, 1182, 50189, 32092, 16, 1182, 48870, 25177, 379, 249, 8061, 48870, 19594, 50191, 50245, 50223, 211, 50191, 31669, 510, 4, 31, 2186, 73, 1253, 4574, 411, 8727, 4, 3197, 4574, 50244, 8908, 24, 15502, 4, 7, 6801, 50223, 71, 3327, 4, 3791, 4574, 50244, 11017, 3971, 8908, 33177, 1205, 9176, 5, 6238, 342, 9, 50223, 86, 4753, 50244, 5547, 50244, 2629, 186, 4, 1719, 50244, 2629, 27, 26563, 4, 20944, 52, 4925, 50244, 7997, 73, 1132, 4, 50223, 16259, 165, 7604, 1005, 342, 950, 4, 563, 2137, 3317, 2629, 4, 3585, 5082, 5, 31669, 336, 10, 46023, 7, 50223, 2975, 35090, 6565, 1182, 48870, 19594, 318, 48870, 21946, 4, 1253, 826, 24655, 50244, 580, 4549, 50209, 1260, 617, 5048, 50244, 581, 1508, 413, 196, 4, 3197, 5304, 50244, 50223, 43250, 1013, 9552, 6, 30438, 343, 4, 5547, 50244, 2629, 186, 4, 1719, 50244, 2629, 27, 26563, 4, 20944, 52, 50223, 293, 19248, 50244, 7997, 73, 1132, 4, 11596, 882, 8, 34848, 8472, 7, 44748, 508, 5, 564, 8956, 1182, 50189, 32092, 50223, 654, 1182, 48870, 25177, 48336, 48870, 19594, 50191, 50245, 50223, 134, 50191, 225, 1402, 654, 13164, 1672, 9, 20913, 17998, 11668, 18, 34345, 15041, 15086, 2081, 4675, 50223, 86, 4753, 1329, 9, 8, 6967, 82, 5183, 5, 657, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 239, 5, 15, 5, 8, 4083, 50223, 52, 9761, 1197, 3333, 4, 638, 508, 5, 411, 50209, 39285, 239, 5, 15, 17, 20467, 8, 4083, 6284, 24, 34382, 4, 2050, 158, 5, 50223, 6890, 1314, 2322, 508, 5, 16077, 50209, 39285, 239, 5, 15, 551, 2524, 9, 5376, 989, 3494, 1104, 869, 50223, 170, 21605, 81, 17, 20467, 8, 4083, 6284, 3333, 5, 50223, 1046, 47864, 7085, 1182, 50223, 4458, 6666, 34345, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 27023, 1485, 19964, 6967, 50244, 50223, 71, 50191, 529, 3164, 90, 4, 826, 24655, 6565, 1182, 48870, 19594, 318, 48870, 21946, 4, 1253, 826, 24655, 50244, 580, 4549, 50209, 1260, 4, 617, 5048, 50244, 581, 1508, 413, 196, 4, 3197, 50223, 379, 3164, 90, 50244, 3591, 1013, 9552, 6, 30438, 343, 4, 5547, 50244, 2629, 186, 4, 1719, 50244, 2629, 27, 26563, 4, 50223, 53, 109, 29203, 52, 4925, 50244, 7997, 73, 1132, 4, 11596, 2004, 8, 34848, 8472, 7, 44748, 508, 5, 50223, 1164, 8956, 1182, 50189, 32092, 16, 1182, 48870, 25177, 379, 249, 8061, 48870, 19594, 50191, 50245, 50223, 211, 50191, 31669, 510, 4, 31, 2186, 73, 1253, 4574, 411, 8727, 4, 3197, 4574, 50244, 8908, 24, 15502, 4, 7, 6801, 50223, 71, 3327, 4, 3791, 4574, 50244, 11017, 3971, 8908, 33177, 1205, 9176, 5, 6238, 342, 9, 50223, 86, 4753, 50244, 5547, 50244, 2629, 186, 4, 1719, 50244, 2629, 27, 26563, 4, 20944, 52, 4925, 50244, 7997, 73, 1132, 4, 50223, 16259, 165, 7604, 1005, 342, 950, 4, 563, 2137, 3317, 2629, 4, 3585, 5082, 5, 31669, 336, 10, 46023, 7, 50223, 2975, 35090, 6565, 1182, 48870, 19594, 318, 48870, 21946, 4, 1253, 826, 24655, 50244, 580, 4549, 50209, 1260, 617, 5048, 50244, 581, 1508, 413, 196, 4, 3197, 5304, 50244, 50223, 43250, 1013, 9552, 6, 30438, 343, 4, 5547, 50244, 2629, 186, 4, 1719, 50244, 2629, 27, 26563, 4, 20944, 52, 50223, 293, 19248, 50244, 7997, 73, 1132, 4, 11596, 882, 8, 34848, 8472, 7, 44748, 508, 5, 564, 8956, 1182, 50189, 32092, 50223, 654, 1182, 48870, 25177, 48336, 48870, 19594, 50191, 50245, 50223, 134, 50191, 225, 1402, 654, 13164, 1672, 9, 20913, 17998, 11668, 18, 34345, 15041, 15086, 2081, 4675, 50223, 86, 4753, 1329, 9, 8, 6967, 82, 5183, 5, 657, 50191, 332, 5484, 1157, 50244, 50223, 1025, 28978, 3683, 33170, 3683, 44644, 9978, 9552, 3683, 50223, 828, 612, 1815, 9249, 2968, 1018, 150, 4, 18560, 413, 196, 50223, 39330, 1815, 9249, 2968, 3255, 207, 4, 13157, 413, 196, 50223, 1164, 253, 7514, 7213, 107, 4, 4549, 413, 196, 50223, 1164, 196, 552, 361, 692, 7213, 119, 4, 10313, 413, 196, 50223, 1164, 259, 17753, 217, 450, 31566, 107, 4, 828, 413, 196, 50223, 1164, 328, 36868, 336, 207, 4, 1659, 413, 196, 50223, 1164, 266, 130, 3925, 119, 4, 6799, 413, 196, 50223, 1164, 497, 2171, 24729, 6026, 4, 4708, 413, 196, 50223, 17548, 9978, 9552, 718, 50244, 5438, 4, 9558, 413, 196, 1182, 50189, 32092, 8, 17933, 16, 1182, 48870, 25177, 4767, 2, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 3591, 1013, 9552, 6, 30438, 343, 4, 5547, 50244, 2629, 186, 4, 1719, 50244, 2629, 27, 26563, 4, 50223, 53, 109, 29203, 52, 4925, 50244, 7997, 73, 1132, 4, 11596, 2004, 8, 34848, 8472, 7, 44748, 508, 5, 50223, 1164, 8956, 1182, 50189, 32092, 16, 1182, 48870, 25177, 379, 249, 8061, 48870, 19594, 50191, 50245, 50223, 211, 50191, 31669, 510, 4, 31, 2186, 73, 1253, 4574, 411, 8727, 4, 3197, 4574, 50244, 8908, 24, 15502, 4, 7, 6801, 50223, 71, 3327, 4, 3791, 4574, 50244, 11017, 3971, 8908, 33177, 1205, 9176, 5, 6238, 342, 9, 50223, 86, 4753, 50244, 5547, 50244, 2629, 186, 4, 1719, 50244, 2629, 27, 26563, 4, 20944, 52, 4925, 50244, 7997, 73, 1132, 4, 50223, 16259, 165, 7604, 1005, 342, 950, 4, 563, 2137, 3317, 2629, 4, 3585, 5082, 5, 31669, 336, 10, 46023, 7, 50223, 2975, 35090, 6565, 1182, 48870, 19594, 318, 48870, 21946, 4, 1253, 826, 24655, 50244, 580, 4549, 50209, 1260, 617, 5048, 50244, 581, 1508, 413, 196, 4, 3197, 5304, 50244, 50223, 43250, 1013, 9552, 6, 30438, 343, 4, 5547, 50244, 2629, 186, 4, 1719, 50244, 2629, 27, 26563, 4, 20944, 52, 50223, 293, 19248, 50244, 7997, 73, 1132, 4, 11596, 882, 8, 34848, 8472, 7, 44748, 508, 5, 564, 8956, 1182, 50189, 32092, 50223, 654, 1182, 48870, 25177, 48336, 48870, 19594, 50191, 50245, 50223, 134, 50191, 225, 1402, 654, 13164, 1672, 9, 20913, 17998, 11668, 18, 34345, 15041, 15086, 2081, 4675, 50223, 86, 4753, 1329, 9, 8, 6967, 82, 5183, 5, 657, 50191, 332, 5484, 1157, 50244, 50223, 1025, 28978, 3683, 33170, 3683, 44644, 9978, 9552, 3683, 50223, 828, 612, 1815, 9249, 2968, 1018, 150, 4, 18560, 413, 196, 50223, 39330, 1815, 9249, 2968, 3255, 207, 4, 13157, 413, 196, 50223, 1164, 253, 7514, 7213, 107, 4, 4549, 413, 196, 50223, 1164, 196, 552, 361, 692, 7213, 119, 4, 10313, 413, 196, 50223, 1164, 259, 17753, 217, 450, 31566, 107, 4, 828, 413, 196, 50223, 1164, 328, 36868, 336, 207, 4, 1659, 413, 196, 50223, 1164, 266, 130, 3925, 119, 4, 6799, 413, 196, 50223, 1164, 497, 2171, 24729, 6026, 4, 4708, 413, 196, 50223, 17548, 9978, 9552, 718, 50244, 5438, 4, 9558, 413, 196, 1182, 50189, 32092, 8, 17933, 16, 1182, 48870, 25177, 4767, 6666, 34345, 48870, 19594, 50191, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 11317, 34345, 9128, 8, 1680, 5, 107, 5183, 5, 593, 50191, 332, 1973, 1157, 50223, 96, 7956, 2042, 18, 29, 5012, 168, 42869, 18512, 23, 2318, 41324, 4044, 643, 8, 237, 50223, 100, 32445, 348, 4, 6, 11, 28, 1785, 356, 25470, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 7671, 16751, 237, 1157, 38511, 7509, 2042, 11317, 34345, 18, 50223, 702, 5012, 168, 42869, 18512, 8, 2372, 8688, 68, 7, 14643, 24066, 17936, 23, 50223, 293, 21854, 68, 5367, 10308, 27653, 5, 225, 17204, 49943, 27653, 3923, 3922, 17280, 508, 5, 107, 3206, 7956, 116, 1157, 50223, 16629, 5, 508, 5, 16350, 631, 729, 1182, 48870, 25877, 2466, 253, 50209, 1508, 3410, 77, 864, 414, 5, 16827, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
[ 0, 3317, 2629, 4, 3585, 5082, 5, 31669, 336, 10, 46023, 7, 50223, 2975, 35090, 6565, 1182, 48870, 19594, 318, 48870, 21946, 4, 1253, 826, 24655, 50244, 580, 4549, 50209, 1260, 617, 5048, 50244, 581, 1508, 413, 196, 4, 3197, 5304, 50244, 50223, 43250, 1013, 9552, 6, 30438, 343, 4, 5547, 50244, 2629, 186, 4, 1719, 50244, 2629, 27, 26563, 4, 20944, 52, 50223, 293, 19248, 50244, 7997, 73, 1132, 4, 11596, 882, 8, 34848, 8472, 7, 44748, 508, 5, 564, 8956, 1182, 50189, 32092, 50223, 654, 1182, 48870, 25177, 48336, 48870, 19594, 50191, 50245, 50223, 134, 50191, 225, 1402, 654, 13164, 1672, 9, 20913, 17998, 11668, 18, 34345, 15041, 15086, 2081, 4675, 50223, 86, 4753, 1329, 9, 8, 6967, 82, 5183, 5, 657, 50191, 332, 5484, 1157, 50244, 50223, 1025, 28978, 3683, 33170, 3683, 44644, 9978, 9552, 3683, 50223, 828, 612, 1815, 9249, 2968, 1018, 150, 4, 18560, 413, 196, 50223, 39330, 1815, 9249, 2968, 3255, 207, 4, 13157, 413, 196, 50223, 1164, 253, 7514, 7213, 107, 4, 4549, 413, 196, 50223, 1164, 196, 552, 361, 692, 7213, 119, 4, 10313, 413, 196, 50223, 1164, 259, 17753, 217, 450, 31566, 107, 4, 828, 413, 196, 50223, 1164, 328, 36868, 336, 207, 4, 1659, 413, 196, 50223, 1164, 266, 130, 3925, 119, 4, 6799, 413, 196, 50223, 1164, 497, 2171, 24729, 6026, 4, 4708, 413, 196, 50223, 17548, 9978, 9552, 718, 50244, 5438, 4, 9558, 413, 196, 1182, 50189, 32092, 8, 17933, 16, 1182, 48870, 25177, 4767, 6666, 34345, 48870, 19594, 50191, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 11317, 34345, 9128, 8, 1680, 5, 107, 5183, 5, 593, 50191, 332, 1973, 1157, 50223, 96, 7956, 2042, 18, 29, 5012, 168, 42869, 18512, 23, 2318, 41324, 4044, 643, 8, 237, 50223, 100, 32445, 348, 4, 6, 11, 28, 1785, 356, 25470, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 7671, 16751, 237, 1157, 38511, 7509, 2042, 11317, 34345, 18, 50223, 702, 5012, 168, 42869, 18512, 8, 2372, 8688, 68, 7, 14643, 24066, 17936, 23, 50223, 293, 21854, 68, 5367, 10308, 27653, 5, 225, 17204, 49943, 27653, 3923, 3922, 17280, 508, 5, 107, 3206, 7956, 116, 1157, 50223, 16629, 5, 508, 5, 16350, 631, 729, 1182, 48870, 25877, 2466, 253, 50209, 1508, 3410, 77, 864, 414, 5, 16827, 5, 39860, 5, 50223, 328, 5, 3206, 7956, 165, 23087, 4, 13, 4232, 9493, 1098, 14108, 34345, 15, 2625, 49108, 81, 7, 750, 50223, 6171, 68, 6, 8, 4961, 2372, 8, 7056, 9, 749, 4, 11317, 34345, 35647, 18, 29, 5012, 168, 50223, 470, 6149, 168, 18512, 5, 50223, 266, 5, 3206, 7956, 165, 10, 181, 48441, 28932, 12, 171, 4, 13, 11317, 34345, 9, 749, 8, 1128, 5291, 2188, 10577, 50223, 35117, 1410, 33177, 1410, 16127, 60, 207, 5, 33565, 2471, 4, 47, 66, 29227, 11009, 52, 50223, 1297, 10451, 185, 18129, 15291, 20962, 1992, 8, 3701, 508, 5, 107, 50209, 15024, 77, 864, 704, 5, 9452, 5, 3274, 5, 50223, 444, 5, 3206, 7956, 165, 10, 8, 42766, 7, 1680, 5, 229, 332, 1973, 1157, 2933, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
[ 0, 3683, 33170, 3683, 44644, 9978, 9552, 3683, 50223, 828, 612, 1815, 9249, 2968, 1018, 150, 4, 18560, 413, 196, 50223, 39330, 1815, 9249, 2968, 3255, 207, 4, 13157, 413, 196, 50223, 1164, 253, 7514, 7213, 107, 4, 4549, 413, 196, 50223, 1164, 196, 552, 361, 692, 7213, 119, 4, 10313, 413, 196, 50223, 1164, 259, 17753, 217, 450, 31566, 107, 4, 828, 413, 196, 50223, 1164, 328, 36868, 336, 207, 4, 1659, 413, 196, 50223, 1164, 266, 130, 3925, 119, 4, 6799, 413, 196, 50223, 1164, 497, 2171, 24729, 6026, 4, 4708, 413, 196, 50223, 17548, 9978, 9552, 718, 50244, 5438, 4, 9558, 413, 196, 1182, 50189, 32092, 8, 17933, 16, 1182, 48870, 25177, 4767, 6666, 34345, 48870, 19594, 50191, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 11317, 34345, 9128, 8, 1680, 5, 107, 5183, 5, 593, 50191, 332, 1973, 1157, 50223, 96, 7956, 2042, 18, 29, 5012, 168, 42869, 18512, 23, 2318, 41324, 4044, 643, 8, 237, 50223, 100, 32445, 348, 4, 6, 11, 28, 1785, 356, 25470, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 7671, 16751, 237, 1157, 38511, 7509, 2042, 11317, 34345, 18, 50223, 702, 5012, 168, 42869, 18512, 8, 2372, 8688, 68, 7, 14643, 24066, 17936, 23, 50223, 293, 21854, 68, 5367, 10308, 27653, 5, 225, 17204, 49943, 27653, 3923, 3922, 17280, 508, 5, 107, 3206, 7956, 116, 1157, 50223, 16629, 5, 508, 5, 16350, 631, 729, 1182, 48870, 25877, 2466, 253, 50209, 1508, 3410, 77, 864, 414, 5, 16827, 5, 39860, 5, 50223, 328, 5, 3206, 7956, 165, 23087, 4, 13, 4232, 9493, 1098, 14108, 34345, 15, 2625, 49108, 81, 7, 750, 50223, 6171, 68, 6, 8, 4961, 2372, 8, 7056, 9, 749, 4, 11317, 34345, 35647, 18, 29, 5012, 168, 50223, 470, 6149, 168, 18512, 5, 50223, 266, 5, 3206, 7956, 165, 10, 181, 48441, 28932, 12, 171, 4, 13, 11317, 34345, 9, 749, 8, 1128, 5291, 2188, 10577, 50223, 35117, 1410, 33177, 1410, 16127, 60, 207, 5, 33565, 2471, 4, 47, 66, 29227, 11009, 52, 50223, 1297, 10451, 185, 18129, 15291, 20962, 1992, 8, 3701, 508, 5, 107, 50209, 15024, 77, 864, 704, 5, 9452, 5, 3274, 5, 50223, 444, 5, 3206, 7956, 165, 10, 8, 42766, 7, 1680, 5, 229, 332, 1973, 1157, 2933, 11619, 9661, 50223, 18654, 5, 508, 5, 5184, 259, 50209, 15024, 239, 5, 15, 5, 17, 3556, 3685, 6, 746, 8, 4083, 6284, 3333, 4, 19, 16, 50223, 1178, 193, 831, 6296, 14420, 4, 2487, 1747, 9, 7, 15412, 8131, 39861, 2471, 5, 159, 265, 50223, 9208, 10116, 332, 9661, 10, 29897, 1672, 10260, 2937, 12274, 29, 237, 50223, 100, 32445, 465, 5, 50223, 1046, 47864, 10903, 1182, 50223, 1584, 21854, 34345, 1182, 1182, 50223, 1514, 7956, 165, 9, 20913, 8764, 11317, 34345, 19, 34900, 4, 6, 11, 8, 601, 4981, 14108, 50223, 4595, 937, 627, 4, 808, 9, 20913, 3334, 24, 3373, 4, 1949, 16350, 631, 729, 6, 12219, 50223, 31699, 450, 39022, 791, 23, 5198, 22816, 6059, 7315, 24744, 835, 1205, 9176, 16350, 631, 729, 50223, 71, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 17998, 133, 2031, 11317, 34345, 9128, 8, 1680, 5, 107, 5183, 5, 593, 50191, 332, 1973, 1157, 50223, 96, 7956, 2042, 18, 29, 5012, 168, 42869, 18512, 23, 2318, 41324, 4044, 643, 8, 237, 50223, 100, 32445, 348, 4, 6, 11, 28, 1785, 356, 25470, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 7671, 16751, 237, 1157, 38511, 7509, 2042, 11317, 34345, 18, 50223, 702, 5012, 168, 42869, 18512, 8, 2372, 8688, 68, 7, 14643, 24066, 17936, 23, 50223, 293, 21854, 68, 5367, 10308, 27653, 5, 225, 17204, 49943, 27653, 3923, 3922, 17280, 508, 5, 107, 3206, 7956, 116, 1157, 50223, 16629, 5, 508, 5, 16350, 631, 729, 1182, 48870, 25877, 2466, 253, 50209, 1508, 3410, 77, 864, 414, 5, 16827, 5, 39860, 5, 50223, 328, 5, 3206, 7956, 165, 23087, 4, 13, 4232, 9493, 1098, 14108, 34345, 15, 2625, 49108, 81, 7, 750, 50223, 6171, 68, 6, 8, 4961, 2372, 8, 7056, 9, 749, 4, 11317, 34345, 35647, 18, 29, 5012, 168, 50223, 470, 6149, 168, 18512, 5, 50223, 266, 5, 3206, 7956, 165, 10, 181, 48441, 28932, 12, 171, 4, 13, 11317, 34345, 9, 749, 8, 1128, 5291, 2188, 10577, 50223, 35117, 1410, 33177, 1410, 16127, 60, 207, 5, 33565, 2471, 4, 47, 66, 29227, 11009, 52, 50223, 1297, 10451, 185, 18129, 15291, 20962, 1992, 8, 3701, 508, 5, 107, 50209, 15024, 77, 864, 704, 5, 9452, 5, 3274, 5, 50223, 444, 5, 3206, 7956, 165, 10, 8, 42766, 7, 1680, 5, 229, 332, 1973, 1157, 2933, 11619, 9661, 50223, 18654, 5, 508, 5, 5184, 259, 50209, 15024, 239, 5, 15, 5, 17, 3556, 3685, 6, 746, 8, 4083, 6284, 3333, 4, 19, 16, 50223, 1178, 193, 831, 6296, 14420, 4, 2487, 1747, 9, 7, 15412, 8131, 39861, 2471, 5, 159, 265, 50223, 9208, 10116, 332, 9661, 10, 29897, 1672, 10260, 2937, 12274, 29, 237, 50223, 100, 32445, 465, 5, 50223, 1046, 47864, 10903, 1182, 50223, 1584, 21854, 34345, 1182, 1182, 50223, 1514, 7956, 165, 9, 20913, 8764, 11317, 34345, 19, 34900, 4, 6, 11, 8, 601, 4981, 14108, 50223, 4595, 937, 627, 4, 808, 9, 20913, 3334, 24, 3373, 4, 1949, 16350, 631, 729, 6, 12219, 50223, 31699, 450, 39022, 791, 23, 5198, 22816, 6059, 7315, 24744, 835, 1205, 9176, 16350, 631, 729, 50223, 71, 1767, 16, 102, 39108, 6, 20913, 9, 10531, 15041, 1212, 4728, 50223, 53, 1662, 1669, 50244, 50223, 27, 47905, 1685, 394, 364, 4, 913, 26722, 18468, 6, 142, 1748, 647, 50245, 50223, 27, 36620, 868, 18739, 5850, 50245, 50223, 27, 36620, 31652, 13829, 6, 708, 10832, 30, 897, 3698, 50245, 50223, 27, 4960, 15846, 49808, 470, 2186, 163, 10319, 677, 4566, 515, 4211, 50245, 50223, 27, 48006, 293, 933, 28104, 586, 11100, 50245, 50223, 27, 36620, 21246, 6528, 47494, 50245, 50223, 27, 14098, 12, 33175, 6, 37642, 1852, 7, 39197, 50245, 50223, 27, 10895, 26569, 449, 24, 1949, 1584, 19348, 32, 50209, 281, 1259, 835, 1205, 9176, 16350, 631, 729, 50245, 50223, 27, 36203, 15816, 661, 4, 5088, 243, 2543, 50245, 50223, 27, 5690, 44667, 1562, 2, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100 ]
[ 0, 3206, 7956, 165, 23087, 4, 13, 4232, 9493, 1098, 14108, 34345, 15, 2625, 49108, 81, 7, 750, 50223, 6171, 68, 6, 8, 4961, 2372, 8, 7056, 9, 749, 4, 11317, 34345, 35647, 18, 29, 5012, 168, 50223, 470, 6149, 168, 18512, 5, 50223, 266, 5, 3206, 7956, 165, 10, 181, 48441, 28932, 12, 171, 4, 13, 11317, 34345, 9, 749, 8, 1128, 5291, 2188, 10577, 50223, 35117, 1410, 33177, 1410, 16127, 60, 207, 5, 33565, 2471, 4, 47, 66, 29227, 11009, 52, 50223, 1297, 10451, 185, 18129, 15291, 20962, 1992, 8, 3701, 508, 5, 107, 50209, 15024, 77, 864, 704, 5, 9452, 5, 3274, 5, 50223, 444, 5, 3206, 7956, 165, 10, 8, 42766, 7, 1680, 5, 229, 332, 1973, 1157, 2933, 11619, 9661, 50223, 18654, 5, 508, 5, 5184, 259, 50209, 15024, 239, 5, 15, 5, 17, 3556, 3685, 6, 746, 8, 4083, 6284, 3333, 4, 19, 16, 50223, 1178, 193, 831, 6296, 14420, 4, 2487, 1747, 9, 7, 15412, 8131, 39861, 2471, 5, 159, 265, 50223, 9208, 10116, 332, 9661, 10, 29897, 1672, 10260, 2937, 12274, 29, 237, 50223, 100, 32445, 465, 5, 50223, 1046, 47864, 10903, 1182, 50223, 1584, 21854, 34345, 1182, 1182, 50223, 1514, 7956, 165, 9, 20913, 8764, 11317, 34345, 19, 34900, 4, 6, 11, 8, 601, 4981, 14108, 50223, 4595, 937, 627, 4, 808, 9, 20913, 3334, 24, 3373, 4, 1949, 16350, 631, 729, 6, 12219, 50223, 31699, 450, 39022, 791, 23, 5198, 22816, 6059, 7315, 24744, 835, 1205, 9176, 16350, 631, 729, 50223, 71, 1767, 16, 102, 39108, 6, 20913, 9, 10531, 15041, 1212, 4728, 50223, 53, 1662, 1669, 50244, 50223, 27, 47905, 1685, 394, 364, 4, 913, 26722, 18468, 6, 142, 1748, 647, 50245, 50223, 27, 36620, 868, 18739, 5850, 50245, 50223, 27, 36620, 31652, 13829, 6, 708, 10832, 30, 897, 3698, 50245, 50223, 27, 4960, 15846, 49808, 470, 2186, 163, 10319, 677, 4566, 515, 4211, 50245, 50223, 27, 48006, 293, 933, 28104, 586, 11100, 50245, 50223, 27, 36620, 21246, 6528, 47494, 50245, 50223, 27, 14098, 12, 33175, 6, 37642, 1852, 7, 39197, 50245, 50223, 27, 10895, 26569, 449, 24, 1949, 1584, 19348, 32, 50209, 281, 1259, 835, 1205, 9176, 16350, 631, 729, 50245, 50223, 27, 36203, 15816, 661, 4, 5088, 243, 2543, 50245, 50223, 27, 5690, 44667, 1562, 24, 1949, 50245, 50223, 27, 8183, 1266, 27091, 261, 137, 6, 50209, 2800, 43, 4338, 8, 1423, 12, 31945, 3967, 50223, 26076, 15347, 148, 50209, 24121, 1385, 148, 12, 26569, 636, 50245, 50223, 27, 604, 27143, 24, 3373, 16350, 631, 729, 50245, 50223, 27, 42510, 9142, 10854, 24, 1949, 16350, 631, 729, 7, 17089, 325, 5, 50223, 1046, 47864, 159, 1182, 50223, 3206, 7956, 73, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 17998, 2774, 7509, 2042, 11317, 34345, 18, 42869, 18512, 23, 22699, 194, 50223, 470, 1643, 12112, 8, 237, 8195, 1182, 50189, 32092, 8, 17933, 16, 1182, 48870, 25177, 96, 7956, 73, 48870, 19594, 50191, 8, 2332, 60, 39808, 5, 508, 5, 411, 50209, 39285, 239, 5, 15, 5, 50223, 143, 20467, 8, 4083, 6284, 2, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100 ]
[ 0, 5184, 259, 50209, 15024, 239, 5, 15, 5, 17, 3556, 3685, 6, 746, 8, 4083, 6284, 3333, 4, 19, 16, 50223, 1178, 193, 831, 6296, 14420, 4, 2487, 1747, 9, 7, 15412, 8131, 39861, 2471, 5, 159, 265, 50223, 9208, 10116, 332, 9661, 10, 29897, 1672, 10260, 2937, 12274, 29, 237, 50223, 100, 32445, 465, 5, 50223, 1046, 47864, 10903, 1182, 50223, 1584, 21854, 34345, 1182, 1182, 50223, 1514, 7956, 165, 9, 20913, 8764, 11317, 34345, 19, 34900, 4, 6, 11, 8, 601, 4981, 14108, 50223, 4595, 937, 627, 4, 808, 9, 20913, 3334, 24, 3373, 4, 1949, 16350, 631, 729, 6, 12219, 50223, 31699, 450, 39022, 791, 23, 5198, 22816, 6059, 7315, 24744, 835, 1205, 9176, 16350, 631, 729, 50223, 71, 1767, 16, 102, 39108, 6, 20913, 9, 10531, 15041, 1212, 4728, 50223, 53, 1662, 1669, 50244, 50223, 27, 47905, 1685, 394, 364, 4, 913, 26722, 18468, 6, 142, 1748, 647, 50245, 50223, 27, 36620, 868, 18739, 5850, 50245, 50223, 27, 36620, 31652, 13829, 6, 708, 10832, 30, 897, 3698, 50245, 50223, 27, 4960, 15846, 49808, 470, 2186, 163, 10319, 677, 4566, 515, 4211, 50245, 50223, 27, 48006, 293, 933, 28104, 586, 11100, 50245, 50223, 27, 36620, 21246, 6528, 47494, 50245, 50223, 27, 14098, 12, 33175, 6, 37642, 1852, 7, 39197, 50245, 50223, 27, 10895, 26569, 449, 24, 1949, 1584, 19348, 32, 50209, 281, 1259, 835, 1205, 9176, 16350, 631, 729, 50245, 50223, 27, 36203, 15816, 661, 4, 5088, 243, 2543, 50245, 50223, 27, 5690, 44667, 1562, 24, 1949, 50245, 50223, 27, 8183, 1266, 27091, 261, 137, 6, 50209, 2800, 43, 4338, 8, 1423, 12, 31945, 3967, 50223, 26076, 15347, 148, 50209, 24121, 1385, 148, 12, 26569, 636, 50245, 50223, 27, 604, 27143, 24, 3373, 16350, 631, 729, 50245, 50223, 27, 42510, 9142, 10854, 24, 1949, 16350, 631, 729, 7, 17089, 325, 5, 50223, 1046, 47864, 159, 1182, 50223, 3206, 7956, 73, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 17998, 2774, 7509, 2042, 11317, 34345, 18, 42869, 18512, 23, 22699, 194, 50223, 470, 1643, 12112, 8, 237, 8195, 1182, 50189, 32092, 8, 17933, 16, 1182, 48870, 25177, 96, 7956, 73, 48870, 19594, 50191, 8, 2332, 60, 39808, 5, 508, 5, 411, 50209, 39285, 239, 5, 15, 5, 50223, 143, 20467, 8, 4083, 6284, 3333, 6, 2050, 158, 5, 5524, 2322, 333, 508, 5, 16077, 50209, 39285, 50223, 155, 5, 15, 551, 2524, 9, 5376, 989, 3494, 1104, 869, 926, 508, 5, 411, 50209, 39285, 239, 5, 15, 5, 50223, 143, 20467, 8, 4083, 6284, 3333, 5, 3023, 1363, 20821, 7509, 168, 2035, 50223, 190, 2332, 12, 25717, 5085, 16225, 1968, 508, 5, 581, 50209, 1508, 4135, 4, 744, 9, 33890, 3817, 29196, 12253, 433, 627, 50223, 294, 278, 1823, 13718, 7143, 8867, 26967, 2974, 53, 8, 3701, 6, 8360, 687, 15390, 4139, 50223, 96, 7956, 168, 8, 39695, 4083, 4, 5104, 45, 1493, 50244, 50223, 71, 50191, 39558, 655, 4, 27, 2845, 50209, 105, 196, 50209, 2320, 1067, 6026, 4, 4708, 413, 196, 1182, 50247, 119, 430, 2458, 4, 2, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 6, 20913, 9, 10531, 15041, 1212, 4728, 50223, 53, 1662, 1669, 50244, 50223, 27, 47905, 1685, 394, 364, 4, 913, 26722, 18468, 6, 142, 1748, 647, 50245, 50223, 27, 36620, 868, 18739, 5850, 50245, 50223, 27, 36620, 31652, 13829, 6, 708, 10832, 30, 897, 3698, 50245, 50223, 27, 4960, 15846, 49808, 470, 2186, 163, 10319, 677, 4566, 515, 4211, 50245, 50223, 27, 48006, 293, 933, 28104, 586, 11100, 50245, 50223, 27, 36620, 21246, 6528, 47494, 50245, 50223, 27, 14098, 12, 33175, 6, 37642, 1852, 7, 39197, 50245, 50223, 27, 10895, 26569, 449, 24, 1949, 1584, 19348, 32, 50209, 281, 1259, 835, 1205, 9176, 16350, 631, 729, 50245, 50223, 27, 36203, 15816, 661, 4, 5088, 243, 2543, 50245, 50223, 27, 5690, 44667, 1562, 24, 1949, 50245, 50223, 27, 8183, 1266, 27091, 261, 137, 6, 50209, 2800, 43, 4338, 8, 1423, 12, 31945, 3967, 50223, 26076, 15347, 148, 50209, 24121, 1385, 148, 12, 26569, 636, 50245, 50223, 27, 604, 27143, 24, 3373, 16350, 631, 729, 50245, 50223, 27, 42510, 9142, 10854, 24, 1949, 16350, 631, 729, 7, 17089, 325, 5, 50223, 1046, 47864, 159, 1182, 50223, 3206, 7956, 73, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 17998, 2774, 7509, 2042, 11317, 34345, 18, 42869, 18512, 23, 22699, 194, 50223, 470, 1643, 12112, 8, 237, 8195, 1182, 50189, 32092, 8, 17933, 16, 1182, 48870, 25177, 96, 7956, 73, 48870, 19594, 50191, 8, 2332, 60, 39808, 5, 508, 5, 411, 50209, 39285, 239, 5, 15, 5, 50223, 143, 20467, 8, 4083, 6284, 3333, 6, 2050, 158, 5, 5524, 2322, 333, 508, 5, 16077, 50209, 39285, 50223, 155, 5, 15, 551, 2524, 9, 5376, 989, 3494, 1104, 869, 926, 508, 5, 411, 50209, 39285, 239, 5, 15, 5, 50223, 143, 20467, 8, 4083, 6284, 3333, 5, 3023, 1363, 20821, 7509, 168, 2035, 50223, 190, 2332, 12, 25717, 5085, 16225, 1968, 508, 5, 581, 50209, 1508, 4135, 4, 744, 9, 33890, 3817, 29196, 12253, 433, 627, 50223, 294, 278, 1823, 13718, 7143, 8867, 26967, 2974, 53, 8, 3701, 6, 8360, 687, 15390, 4139, 50223, 96, 7956, 168, 8, 39695, 4083, 4, 5104, 45, 1493, 50244, 50223, 71, 50191, 39558, 655, 4, 27, 2845, 50209, 105, 196, 50209, 2320, 1067, 6026, 4, 4708, 413, 196, 1182, 50247, 119, 430, 2458, 4, 1659, 2845, 50209, 2320, 50245, 50223, 211, 50191, 3298, 857, 4, 27, 2845, 50209, 105, 196, 50209, 2320, 1067, 119, 4, 6799, 413, 196, 1182, 50247, 20203, 4, 2606, 2845, 50209, 2320, 50245, 50223, 134, 50191, 3727, 73, 4675, 292, 4, 27, 2845, 50209, 105, 196, 50209, 2320, 1067, 581, 4, 8291, 413, 196, 1182, 50247, 1915, 266, 4, 1508, 2845, 50209, 2320, 50245, 50223, 101, 5, 1048, 5, 393, 45, 1493, 150, 1226, 328, 4, 1659, 2845, 50209, 2320, 5, 50223, 1046, 47864, 15776, 1182, 50223, 4333, 48705, 73, 1212, 1182, 1182, 50223, 253, 5, 3206, 7956, 73, 10, 7509, 165, 2933, 36183, 201, 4380, 29897, 11890, 7920, 45, 1493, 1315, 196, 4, 9192, 2845, 50223, 1210, 2932, 68, 44028, 3403, 7, 27003, 3717, 9128, 8, 9982, 5, 2, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 18, 18, 18, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100 ]
[ 0, 27091, 261, 137, 6, 50209, 2800, 43, 4338, 8, 1423, 12, 31945, 3967, 50223, 26076, 15347, 148, 50209, 24121, 1385, 148, 12, 26569, 636, 50245, 50223, 27, 604, 27143, 24, 3373, 16350, 631, 729, 50245, 50223, 27, 42510, 9142, 10854, 24, 1949, 16350, 631, 729, 7, 17089, 325, 5, 50223, 1046, 47864, 159, 1182, 50223, 3206, 7956, 73, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 17998, 2774, 7509, 2042, 11317, 34345, 18, 42869, 18512, 23, 22699, 194, 50223, 470, 1643, 12112, 8, 237, 8195, 1182, 50189, 32092, 8, 17933, 16, 1182, 48870, 25177, 96, 7956, 73, 48870, 19594, 50191, 8, 2332, 60, 39808, 5, 508, 5, 411, 50209, 39285, 239, 5, 15, 5, 50223, 143, 20467, 8, 4083, 6284, 3333, 6, 2050, 158, 5, 5524, 2322, 333, 508, 5, 16077, 50209, 39285, 50223, 155, 5, 15, 551, 2524, 9, 5376, 989, 3494, 1104, 869, 926, 508, 5, 411, 50209, 39285, 239, 5, 15, 5, 50223, 143, 20467, 8, 4083, 6284, 3333, 5, 3023, 1363, 20821, 7509, 168, 2035, 50223, 190, 2332, 12, 25717, 5085, 16225, 1968, 508, 5, 581, 50209, 1508, 4135, 4, 744, 9, 33890, 3817, 29196, 12253, 433, 627, 50223, 294, 278, 1823, 13718, 7143, 8867, 26967, 2974, 53, 8, 3701, 6, 8360, 687, 15390, 4139, 50223, 96, 7956, 168, 8, 39695, 4083, 4, 5104, 45, 1493, 50244, 50223, 71, 50191, 39558, 655, 4, 27, 2845, 50209, 105, 196, 50209, 2320, 1067, 6026, 4, 4708, 413, 196, 1182, 50247, 119, 430, 2458, 4, 1659, 2845, 50209, 2320, 50245, 50223, 211, 50191, 3298, 857, 4, 27, 2845, 50209, 105, 196, 50209, 2320, 1067, 119, 4, 6799, 413, 196, 1182, 50247, 20203, 4, 2606, 2845, 50209, 2320, 50245, 50223, 134, 50191, 3727, 73, 4675, 292, 4, 27, 2845, 50209, 105, 196, 50209, 2320, 1067, 581, 4, 8291, 413, 196, 1182, 50247, 1915, 266, 4, 1508, 2845, 50209, 2320, 50245, 50223, 101, 5, 1048, 5, 393, 45, 1493, 150, 1226, 328, 4, 1659, 2845, 50209, 2320, 5, 50223, 1046, 47864, 15776, 1182, 50223, 4333, 48705, 73, 1212, 1182, 1182, 50223, 253, 5, 3206, 7956, 73, 10, 7509, 165, 2933, 36183, 201, 4380, 29897, 11890, 7920, 45, 1493, 1315, 196, 4, 9192, 2845, 50223, 1210, 2932, 68, 44028, 3403, 7, 27003, 3717, 9128, 8, 9982, 5, 186, 237, 1157, 4, 6, 11, 7, 50223, 1297, 12628, 18045, 3517, 940, 29897, 4852, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 3517, 183, 7509, 2042, 36109, 7509, 168, 82, 1680, 5, 107, 377, 18, 236, 5, 864, 50223, 2414, 231, 1251, 6223, 4855, 23835, 28, 8141, 4, 23, 47, 9, 34543, 1450, 5, 34124, 7306, 50223, 1638, 135, 9, 6387, 4, 13, 16795, 450, 44639, 7509, 168, 10, 580, 734, 29, 12539, 18045, 50223, 96, 7956, 2042, 5, 1516, 299, 466, 34543, 9, 2630, 23, 27414, 287, 7671, 38, 15198, 627, 44028, 50223, 147, 7145, 6821, 269, 3711, 2510, 25411, 23, 32169, 34543, 7, 3717, 29897, 2875, 5, 50223, 259, 5, 159, 5551, 23712, 7509, 161, 37, 31, 26269, 7433, 23, 10895, 1301, 4, 13153, 50223, 2, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 18, 18, 18, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100 ]
[ 0, 5524, 2322, 333, 508, 5, 16077, 50209, 39285, 50223, 155, 5, 15, 551, 2524, 9, 5376, 989, 3494, 1104, 869, 926, 508, 5, 411, 50209, 39285, 239, 5, 15, 5, 50223, 143, 20467, 8, 4083, 6284, 3333, 5, 3023, 1363, 20821, 7509, 168, 2035, 50223, 190, 2332, 12, 25717, 5085, 16225, 1968, 508, 5, 581, 50209, 1508, 4135, 4, 744, 9, 33890, 3817, 29196, 12253, 433, 627, 50223, 294, 278, 1823, 13718, 7143, 8867, 26967, 2974, 53, 8, 3701, 6, 8360, 687, 15390, 4139, 50223, 96, 7956, 168, 8, 39695, 4083, 4, 5104, 45, 1493, 50244, 50223, 71, 50191, 39558, 655, 4, 27, 2845, 50209, 105, 196, 50209, 2320, 1067, 6026, 4, 4708, 413, 196, 1182, 50247, 119, 430, 2458, 4, 1659, 2845, 50209, 2320, 50245, 50223, 211, 50191, 3298, 857, 4, 27, 2845, 50209, 105, 196, 50209, 2320, 1067, 119, 4, 6799, 413, 196, 1182, 50247, 20203, 4, 2606, 2845, 50209, 2320, 50245, 50223, 134, 50191, 3727, 73, 4675, 292, 4, 27, 2845, 50209, 105, 196, 50209, 2320, 1067, 581, 4, 8291, 413, 196, 1182, 50247, 1915, 266, 4, 1508, 2845, 50209, 2320, 50245, 50223, 101, 5, 1048, 5, 393, 45, 1493, 150, 1226, 328, 4, 1659, 2845, 50209, 2320, 5, 50223, 1046, 47864, 15776, 1182, 50223, 4333, 48705, 73, 1212, 1182, 1182, 50223, 253, 5, 3206, 7956, 73, 10, 7509, 165, 2933, 36183, 201, 4380, 29897, 11890, 7920, 45, 1493, 1315, 196, 4, 9192, 2845, 50223, 1210, 2932, 68, 44028, 3403, 7, 27003, 3717, 9128, 8, 9982, 5, 186, 237, 1157, 4, 6, 11, 7, 50223, 1297, 12628, 18045, 3517, 940, 29897, 4852, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 3517, 183, 7509, 2042, 36109, 7509, 168, 82, 1680, 5, 107, 377, 18, 236, 5, 864, 50223, 2414, 231, 1251, 6223, 4855, 23835, 28, 8141, 4, 23, 47, 9, 34543, 1450, 5, 34124, 7306, 50223, 1638, 135, 9, 6387, 4, 13, 16795, 450, 44639, 7509, 168, 10, 580, 734, 29, 12539, 18045, 50223, 96, 7956, 2042, 5, 1516, 299, 466, 34543, 9, 2630, 23, 27414, 287, 7671, 38, 15198, 627, 44028, 50223, 147, 7145, 6821, 269, 3711, 2510, 25411, 23, 32169, 34543, 7, 3717, 29897, 2875, 5, 50223, 259, 5, 159, 5551, 23712, 7509, 161, 37, 31, 26269, 7433, 23, 10895, 1301, 4, 13153, 50223, 56, 48126, 15086, 3731, 5352, 4, 39, 10, 7509, 165, 2933, 805, 1833, 25668, 50244, 50223, 71, 50191, 7433, 23, 8606, 3666, 37018, 4156, 48, 7509, 165, 36183, 201, 4380, 45, 1493, 22464, 50223, 702, 6506, 455, 102, 25371, 12009, 82, 11107, 685, 7929, 5, 1686, 4, 50223, 211, 50191, 23, 8606, 572, 3893, 20871, 4564, 20410, 8, 9032, 10392, 1493, 82, 12826, 4889, 50223, 103, 1213, 4, 47, 3923, 3922, 17280, 508, 5, 107, 237, 1157, 4, 50223, 134, 50191, 23, 8606, 3666, 2779, 45, 1493, 82, 25371, 12009, 36056, 116, 2706, 68, 27303, 5, 50223, 328, 5, 21973, 510, 82, 1680, 5, 150, 332, 1973, 1157, 10, 7509, 165, 2933, 805, 1833, 9032, 46471, 7, 713, 50223, 24121, 9701, 4, 39, 29897, 1672, 3517, 183, 6, 7728, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 18, 18, 18, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 3298, 857, 4, 27, 2845, 50209, 105, 196, 50209, 2320, 1067, 119, 4, 6799, 413, 196, 1182, 50247, 20203, 4, 2606, 2845, 50209, 2320, 50245, 50223, 134, 50191, 3727, 73, 4675, 292, 4, 27, 2845, 50209, 105, 196, 50209, 2320, 1067, 581, 4, 8291, 413, 196, 1182, 50247, 1915, 266, 4, 1508, 2845, 50209, 2320, 50245, 50223, 101, 5, 1048, 5, 393, 45, 1493, 150, 1226, 328, 4, 1659, 2845, 50209, 2320, 5, 50223, 1046, 47864, 15776, 1182, 50223, 4333, 48705, 73, 1212, 1182, 1182, 50223, 253, 5, 3206, 7956, 73, 10, 7509, 165, 2933, 36183, 201, 4380, 29897, 11890, 7920, 45, 1493, 1315, 196, 4, 9192, 2845, 50223, 1210, 2932, 68, 44028, 3403, 7, 27003, 3717, 9128, 8, 9982, 5, 186, 237, 1157, 4, 6, 11, 7, 50223, 1297, 12628, 18045, 3517, 940, 29897, 4852, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 3517, 183, 7509, 2042, 36109, 7509, 168, 82, 1680, 5, 107, 377, 18, 236, 5, 864, 50223, 2414, 231, 1251, 6223, 4855, 23835, 28, 8141, 4, 23, 47, 9, 34543, 1450, 5, 34124, 7306, 50223, 1638, 135, 9, 6387, 4, 13, 16795, 450, 44639, 7509, 168, 10, 580, 734, 29, 12539, 18045, 50223, 96, 7956, 2042, 5, 1516, 299, 466, 34543, 9, 2630, 23, 27414, 287, 7671, 38, 15198, 627, 44028, 50223, 147, 7145, 6821, 269, 3711, 2510, 25411, 23, 32169, 34543, 7, 3717, 29897, 2875, 5, 50223, 259, 5, 159, 5551, 23712, 7509, 161, 37, 31, 26269, 7433, 23, 10895, 1301, 4, 13153, 50223, 56, 48126, 15086, 3731, 5352, 4, 39, 10, 7509, 165, 2933, 805, 1833, 25668, 50244, 50223, 71, 50191, 7433, 23, 8606, 3666, 37018, 4156, 48, 7509, 165, 36183, 201, 4380, 45, 1493, 22464, 50223, 702, 6506, 455, 102, 25371, 12009, 82, 11107, 685, 7929, 5, 1686, 4, 50223, 211, 50191, 23, 8606, 572, 3893, 20871, 4564, 20410, 8, 9032, 10392, 1493, 82, 12826, 4889, 50223, 103, 1213, 4, 47, 3923, 3922, 17280, 508, 5, 107, 237, 1157, 4, 50223, 134, 50191, 23, 8606, 3666, 2779, 45, 1493, 82, 25371, 12009, 36056, 116, 2706, 68, 27303, 5, 50223, 328, 5, 21973, 510, 82, 1680, 5, 150, 332, 1973, 1157, 10, 7509, 165, 2933, 805, 1833, 9032, 46471, 7, 713, 50223, 24121, 9701, 4, 39, 29897, 1672, 3517, 183, 6, 7728, 709, 7509, 2042, 377, 18, 387, 734, 28, 9979, 14308, 50223, 33460, 389, 22622, 4, 23, 47, 9, 7433, 82, 1680, 5, 150, 6144, 5, 3206, 7956, 165, 10, 2933, 22516, 36109, 18, 50223, 2458, 46313, 734, 3323, 864, 12539, 18045, 7, 2956, 59, 13438, 25470, 8, 9982, 5, 186, 237, 50223, 100, 32445, 465, 5, 21973, 510, 9, 7761, 23, 27414, 287, 7671, 43, 38, 15198, 627, 7, 3717, 29897, 2875, 5, 50223, 266, 5, 1368, 7509, 496, 7106, 303, 1596, 2584, 16810, 4855, 4, 1396, 5, 9032, 22622, 4, 50223, 96, 7956, 165, 10, 2933, 29897, 11890, 22516, 6698, 176, 637, 34345, 6, 22471, 82, 1680, 5, 150, 50223, 15198, 105, 5, 657, 50191, 6, 543, 50191, 332, 1973, 1157, 4, 11201, 5760, 1908, 46313, 2, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 18, 18, 18, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100 ]
[ 0, 11, 7, 50223, 1297, 12628, 18045, 3517, 940, 29897, 4852, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 3517, 183, 7509, 2042, 36109, 7509, 168, 82, 1680, 5, 107, 377, 18, 236, 5, 864, 50223, 2414, 231, 1251, 6223, 4855, 23835, 28, 8141, 4, 23, 47, 9, 34543, 1450, 5, 34124, 7306, 50223, 1638, 135, 9, 6387, 4, 13, 16795, 450, 44639, 7509, 168, 10, 580, 734, 29, 12539, 18045, 50223, 96, 7956, 2042, 5, 1516, 299, 466, 34543, 9, 2630, 23, 27414, 287, 7671, 38, 15198, 627, 44028, 50223, 147, 7145, 6821, 269, 3711, 2510, 25411, 23, 32169, 34543, 7, 3717, 29897, 2875, 5, 50223, 259, 5, 159, 5551, 23712, 7509, 161, 37, 31, 26269, 7433, 23, 10895, 1301, 4, 13153, 50223, 56, 48126, 15086, 3731, 5352, 4, 39, 10, 7509, 165, 2933, 805, 1833, 25668, 50244, 50223, 71, 50191, 7433, 23, 8606, 3666, 37018, 4156, 48, 7509, 165, 36183, 201, 4380, 45, 1493, 22464, 50223, 702, 6506, 455, 102, 25371, 12009, 82, 11107, 685, 7929, 5, 1686, 4, 50223, 211, 50191, 23, 8606, 572, 3893, 20871, 4564, 20410, 8, 9032, 10392, 1493, 82, 12826, 4889, 50223, 103, 1213, 4, 47, 3923, 3922, 17280, 508, 5, 107, 237, 1157, 4, 50223, 134, 50191, 23, 8606, 3666, 2779, 45, 1493, 82, 25371, 12009, 36056, 116, 2706, 68, 27303, 5, 50223, 328, 5, 21973, 510, 82, 1680, 5, 150, 332, 1973, 1157, 10, 7509, 165, 2933, 805, 1833, 9032, 46471, 7, 713, 50223, 24121, 9701, 4, 39, 29897, 1672, 3517, 183, 6, 7728, 709, 7509, 2042, 377, 18, 387, 734, 28, 9979, 14308, 50223, 33460, 389, 22622, 4, 23, 47, 9, 7433, 82, 1680, 5, 150, 6144, 5, 3206, 7956, 165, 10, 2933, 22516, 36109, 18, 50223, 2458, 46313, 734, 3323, 864, 12539, 18045, 7, 2956, 59, 13438, 25470, 8, 9982, 5, 186, 237, 50223, 100, 32445, 465, 5, 21973, 510, 9, 7761, 23, 27414, 287, 7671, 43, 38, 15198, 627, 7, 3717, 29897, 2875, 5, 50223, 266, 5, 1368, 7509, 496, 7106, 303, 1596, 2584, 16810, 4855, 4, 1396, 5, 9032, 22622, 4, 50223, 96, 7956, 165, 10, 2933, 29897, 11890, 22516, 6698, 176, 637, 34345, 6, 22471, 82, 1680, 5, 150, 50223, 15198, 105, 5, 657, 50191, 6, 543, 50191, 332, 1973, 1157, 4, 11201, 5760, 1908, 46313, 734, 25511, 50223, 2272, 1800, 34345, 5, 50223, 444, 5, 159, 265, 45708, 12, 635, 4082, 252, 7509, 168, 6, 50209, 2800, 22471, 82, 1680, 5, 150, 332, 1973, 50223, 100, 32445, 465, 9, 7509, 165, 20913, 22516, 29897, 11890, 16851, 176, 7366, 45, 1493, 563, 4, 196, 1182, 50258, 50223, 100, 10976, 5997, 6910, 23, 394, 16, 4697, 11255, 364, 45708, 5, 459, 2253, 18091, 28887, 6308, 11972, 77, 400, 50223, 96, 7956, 453, 37, 10, 12360, 3180, 4924, 29897, 2875, 7, 11793, 4950, 8, 3331, 24843, 38943, 50223, 100, 47701, 176, 7366, 50223, 497, 5, 19678, 16661, 7, 8975, 36002, 2431, 1606, 2846, 15611, 10, 29897, 1672, 10260, 50223, 4754, 1163, 891, 52, 3906, 6594, 20871, 1926, 22471, 82, 1680, 5, 150, 5183, 5, 657, 50191, 332, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]
[ 0, 5352, 4, 39, 10, 7509, 165, 2933, 805, 1833, 25668, 50244, 50223, 71, 50191, 7433, 23, 8606, 3666, 37018, 4156, 48, 7509, 165, 36183, 201, 4380, 45, 1493, 22464, 50223, 702, 6506, 455, 102, 25371, 12009, 82, 11107, 685, 7929, 5, 1686, 4, 50223, 211, 50191, 23, 8606, 572, 3893, 20871, 4564, 20410, 8, 9032, 10392, 1493, 82, 12826, 4889, 50223, 103, 1213, 4, 47, 3923, 3922, 17280, 508, 5, 107, 237, 1157, 4, 50223, 134, 50191, 23, 8606, 3666, 2779, 45, 1493, 82, 25371, 12009, 36056, 116, 2706, 68, 27303, 5, 50223, 328, 5, 21973, 510, 82, 1680, 5, 150, 332, 1973, 1157, 10, 7509, 165, 2933, 805, 1833, 9032, 46471, 7, 713, 50223, 24121, 9701, 4, 39, 29897, 1672, 3517, 183, 6, 7728, 709, 7509, 2042, 377, 18, 387, 734, 28, 9979, 14308, 50223, 33460, 389, 22622, 4, 23, 47, 9, 7433, 82, 1680, 5, 150, 6144, 5, 3206, 7956, 165, 10, 2933, 22516, 36109, 18, 50223, 2458, 46313, 734, 3323, 864, 12539, 18045, 7, 2956, 59, 13438, 25470, 8, 9982, 5, 186, 237, 50223, 100, 32445, 465, 5, 21973, 510, 9, 7761, 23, 27414, 287, 7671, 43, 38, 15198, 627, 7, 3717, 29897, 2875, 5, 50223, 266, 5, 1368, 7509, 496, 7106, 303, 1596, 2584, 16810, 4855, 4, 1396, 5, 9032, 22622, 4, 50223, 96, 7956, 165, 10, 2933, 29897, 11890, 22516, 6698, 176, 637, 34345, 6, 22471, 82, 1680, 5, 150, 50223, 15198, 105, 5, 657, 50191, 6, 543, 50191, 332, 1973, 1157, 4, 11201, 5760, 1908, 46313, 734, 25511, 50223, 2272, 1800, 34345, 5, 50223, 444, 5, 159, 265, 45708, 12, 635, 4082, 252, 7509, 168, 6, 50209, 2800, 22471, 82, 1680, 5, 150, 332, 1973, 50223, 100, 32445, 465, 9, 7509, 165, 20913, 22516, 29897, 11890, 16851, 176, 7366, 45, 1493, 563, 4, 196, 1182, 50258, 50223, 100, 10976, 5997, 6910, 23, 394, 16, 4697, 11255, 364, 45708, 5, 459, 2253, 18091, 28887, 6308, 11972, 77, 400, 50223, 96, 7956, 453, 37, 10, 12360, 3180, 4924, 29897, 2875, 7, 11793, 4950, 8, 3331, 24843, 38943, 50223, 100, 47701, 176, 7366, 50223, 497, 5, 19678, 16661, 7, 8975, 36002, 2431, 1606, 2846, 15611, 10, 29897, 1672, 10260, 50223, 4754, 1163, 891, 52, 3906, 6594, 20871, 1926, 22471, 82, 1680, 5, 150, 5183, 5, 657, 50191, 332, 1973, 1157, 50223, 86, 713, 31087, 12693, 7509, 2042, 17, 24785, 549, 22471, 4, 808, 23877, 50223, 5012, 510, 10, 2933, 7509, 165, 36183, 201, 4380, 42569, 8951, 21913, 767, 17478, 4, 16774, 3398, 28, 50223, 201, 2866, 3461, 31087, 12693, 17, 24785, 22471, 7509, 2042, 77, 400, 29897, 2875, 5, 50223, 1046, 47864, 159, 10311, 1182, 50223, 4280, 71, 15778, 4, 15731, 1157, 6, 7728, 14482, 1182, 1182, 50223, 253, 5, 12256, 5885, 9, 11708, 7, 1785, 29, 3317, 5, 9452, 5, 292, 2659, 4, 1396, 5, 3323, 864, 16751, 237, 1157, 4, 50223, 424, 210, 364, 14749, 837, 4, 18, 1280, 5, 7000, 5, 292, 2278, 5, 50223, 196, 5, 34124, 7306, 400, 9, 6387, 4, 13, 706, 3305, 10, 434, 19595, 2, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100 ]
[ 0, 377, 18, 387, 734, 28, 9979, 14308, 50223, 33460, 389, 22622, 4, 23, 47, 9, 7433, 82, 1680, 5, 150, 6144, 5, 3206, 7956, 165, 10, 2933, 22516, 36109, 18, 50223, 2458, 46313, 734, 3323, 864, 12539, 18045, 7, 2956, 59, 13438, 25470, 8, 9982, 5, 186, 237, 50223, 100, 32445, 465, 5, 21973, 510, 9, 7761, 23, 27414, 287, 7671, 43, 38, 15198, 627, 7, 3717, 29897, 2875, 5, 50223, 266, 5, 1368, 7509, 496, 7106, 303, 1596, 2584, 16810, 4855, 4, 1396, 5, 9032, 22622, 4, 50223, 96, 7956, 165, 10, 2933, 29897, 11890, 22516, 6698, 176, 637, 34345, 6, 22471, 82, 1680, 5, 150, 50223, 15198, 105, 5, 657, 50191, 6, 543, 50191, 332, 1973, 1157, 4, 11201, 5760, 1908, 46313, 734, 25511, 50223, 2272, 1800, 34345, 5, 50223, 444, 5, 159, 265, 45708, 12, 635, 4082, 252, 7509, 168, 6, 50209, 2800, 22471, 82, 1680, 5, 150, 332, 1973, 50223, 100, 32445, 465, 9, 7509, 165, 20913, 22516, 29897, 11890, 16851, 176, 7366, 45, 1493, 563, 4, 196, 1182, 50258, 50223, 100, 10976, 5997, 6910, 23, 394, 16, 4697, 11255, 364, 45708, 5, 459, 2253, 18091, 28887, 6308, 11972, 77, 400, 50223, 96, 7956, 453, 37, 10, 12360, 3180, 4924, 29897, 2875, 7, 11793, 4950, 8, 3331, 24843, 38943, 50223, 100, 47701, 176, 7366, 50223, 497, 5, 19678, 16661, 7, 8975, 36002, 2431, 1606, 2846, 15611, 10, 29897, 1672, 10260, 50223, 4754, 1163, 891, 52, 3906, 6594, 20871, 1926, 22471, 82, 1680, 5, 150, 5183, 5, 657, 50191, 332, 1973, 1157, 50223, 86, 713, 31087, 12693, 7509, 2042, 17, 24785, 549, 22471, 4, 808, 23877, 50223, 5012, 510, 10, 2933, 7509, 165, 36183, 201, 4380, 42569, 8951, 21913, 767, 17478, 4, 16774, 3398, 28, 50223, 201, 2866, 3461, 31087, 12693, 17, 24785, 22471, 7509, 2042, 77, 400, 29897, 2875, 5, 50223, 1046, 47864, 159, 10311, 1182, 50223, 4280, 71, 15778, 4, 15731, 1157, 6, 7728, 14482, 1182, 1182, 50223, 253, 5, 12256, 5885, 9, 11708, 7, 1785, 29, 3317, 5, 9452, 5, 292, 2659, 4, 1396, 5, 3323, 864, 16751, 237, 1157, 4, 50223, 424, 210, 364, 14749, 837, 4, 18, 1280, 5, 7000, 5, 292, 2278, 5, 50223, 196, 5, 34124, 7306, 400, 9, 6387, 4, 13, 706, 3305, 10, 434, 19595, 12121, 427, 50244, 50223, 71, 50191, 8380, 185, 22376, 22983, 1572, 4, 50223, 211, 50191, 8380, 185, 14600, 252, 110, 47554, 1924, 50245, 17655, 96, 19917, 10, 1943, 12433, 774, 50223, 71, 1628, 39372, 4283, 7671, 26867, 4855, 23835, 28, 42754, 50223, 15198, 68, 116, 21744, 4, 50223, 134, 50191, 10115, 4540, 8284, 4432, 1157, 6, 11, 7671, 571, 8, 2185, 1182, 23077, 24504, 950, 1680, 5, 107, 638, 50223, 234, 5, 429, 50209, 14220, 239, 5, 15, 5, 17, 19160, 249, 6, 18457, 4921, 8, 4083, 6284, 3333, 7, 21971, 50223, 293, 4554, 81, 8452, 33334, 7, 5069, 7509, 453, 4, 50223, 201, 50191, 48710, 636, 29, 1157, 4, 93, 11, 2082, 989, 33, 9, 7, 74, 28444, 400, 50223, 470, 29176, 8, 7581, 7341, 237, 1157, 5, 50223, 259, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 34345, 5, 50223, 444, 5, 159, 265, 45708, 12, 635, 4082, 252, 7509, 168, 6, 50209, 2800, 22471, 82, 1680, 5, 150, 332, 1973, 50223, 100, 32445, 465, 9, 7509, 165, 20913, 22516, 29897, 11890, 16851, 176, 7366, 45, 1493, 563, 4, 196, 1182, 50258, 50223, 100, 10976, 5997, 6910, 23, 394, 16, 4697, 11255, 364, 45708, 5, 459, 2253, 18091, 28887, 6308, 11972, 77, 400, 50223, 96, 7956, 453, 37, 10, 12360, 3180, 4924, 29897, 2875, 7, 11793, 4950, 8, 3331, 24843, 38943, 50223, 100, 47701, 176, 7366, 50223, 497, 5, 19678, 16661, 7, 8975, 36002, 2431, 1606, 2846, 15611, 10, 29897, 1672, 10260, 50223, 4754, 1163, 891, 52, 3906, 6594, 20871, 1926, 22471, 82, 1680, 5, 150, 5183, 5, 657, 50191, 332, 1973, 1157, 50223, 86, 713, 31087, 12693, 7509, 2042, 17, 24785, 549, 22471, 4, 808, 23877, 50223, 5012, 510, 10, 2933, 7509, 165, 36183, 201, 4380, 42569, 8951, 21913, 767, 17478, 4, 16774, 3398, 28, 50223, 201, 2866, 3461, 31087, 12693, 17, 24785, 22471, 7509, 2042, 77, 400, 29897, 2875, 5, 50223, 1046, 47864, 159, 10311, 1182, 50223, 4280, 71, 15778, 4, 15731, 1157, 6, 7728, 14482, 1182, 1182, 50223, 253, 5, 12256, 5885, 9, 11708, 7, 1785, 29, 3317, 5, 9452, 5, 292, 2659, 4, 1396, 5, 3323, 864, 16751, 237, 1157, 4, 50223, 424, 210, 364, 14749, 837, 4, 18, 1280, 5, 7000, 5, 292, 2278, 5, 50223, 196, 5, 34124, 7306, 400, 9, 6387, 4, 13, 706, 3305, 10, 434, 19595, 12121, 427, 50244, 50223, 71, 50191, 8380, 185, 22376, 22983, 1572, 4, 50223, 211, 50191, 8380, 185, 14600, 252, 110, 47554, 1924, 50245, 17655, 96, 19917, 10, 1943, 12433, 774, 50223, 71, 1628, 39372, 4283, 7671, 26867, 4855, 23835, 28, 42754, 50223, 15198, 68, 116, 21744, 4, 50223, 134, 50191, 10115, 4540, 8284, 4432, 1157, 6, 11, 7671, 571, 8, 2185, 1182, 23077, 24504, 950, 1680, 5, 107, 638, 50223, 234, 5, 429, 50209, 14220, 239, 5, 15, 5, 17, 19160, 249, 6, 18457, 4921, 8, 4083, 6284, 3333, 7, 21971, 50223, 293, 4554, 81, 8452, 33334, 7, 5069, 7509, 453, 4, 50223, 201, 50191, 48710, 636, 29, 1157, 4, 93, 11, 2082, 989, 33, 9, 7, 74, 28444, 400, 50223, 470, 29176, 8, 7581, 7341, 237, 1157, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 48, 10260, 29, 237, 1157, 12274, 4, 93, 50244, 50223, 71, 50191, 7509, 165, 21517, 11317, 34345, 6901, 932, 4, 13, 29897, 11890, 4005, 33, 50223, 205, 36429, 4089, 4950, 4, 50223, 211, 50191, 7509, 165, 16, 901, 8380, 881, 6401, 8345, 21517, 11317, 34345, 8, 7414, 12, 3507, 50223, 100, 32445, 1338, 4, 50223, 134, 50191, 7509, 165, 899, 4082, 214, 34543, 33, 7433, 23, 10895, 1301, 13153, 50223, 56, 48126, 14108, 34345, 82, 237, 1157, 8, 10123, 3331, 8, 9124, 28164, 4, 50223, 201, 50191, 7509, 165, 17998, 2774, 11317, 34345, 18, 34345, 4, 108, 96, 31916, 33, 617, 379, 29340, 15027, 50223, 23907, 799, 4, 50223, 179, 50191, 10, 11, 2747, 8, 13121, 161, 19362, 237, 1157, 5, 50223, 328, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 713, 31087, 12693, 7509, 2042, 17, 24785, 549, 22471, 4, 808, 23877, 50223, 5012, 510, 10, 2933, 7509, 165, 36183, 201, 4380, 42569, 8951, 21913, 767, 17478, 4, 16774, 3398, 28, 50223, 201, 2866, 3461, 31087, 12693, 17, 24785, 22471, 7509, 2042, 77, 400, 29897, 2875, 5, 50223, 1046, 47864, 159, 10311, 1182, 50223, 4280, 71, 15778, 4, 15731, 1157, 6, 7728, 14482, 1182, 1182, 50223, 253, 5, 12256, 5885, 9, 11708, 7, 1785, 29, 3317, 5, 9452, 5, 292, 2659, 4, 1396, 5, 3323, 864, 16751, 237, 1157, 4, 50223, 424, 210, 364, 14749, 837, 4, 18, 1280, 5, 7000, 5, 292, 2278, 5, 50223, 196, 5, 34124, 7306, 400, 9, 6387, 4, 13, 706, 3305, 10, 434, 19595, 12121, 427, 50244, 50223, 71, 50191, 8380, 185, 22376, 22983, 1572, 4, 50223, 211, 50191, 8380, 185, 14600, 252, 110, 47554, 1924, 50245, 17655, 96, 19917, 10, 1943, 12433, 774, 50223, 71, 1628, 39372, 4283, 7671, 26867, 4855, 23835, 28, 42754, 50223, 15198, 68, 116, 21744, 4, 50223, 134, 50191, 10115, 4540, 8284, 4432, 1157, 6, 11, 7671, 571, 8, 2185, 1182, 23077, 24504, 950, 1680, 5, 107, 638, 50223, 234, 5, 429, 50209, 14220, 239, 5, 15, 5, 17, 19160, 249, 6, 18457, 4921, 8, 4083, 6284, 3333, 7, 21971, 50223, 293, 4554, 81, 8452, 33334, 7, 5069, 7509, 453, 4, 50223, 201, 50191, 48710, 636, 29, 1157, 4, 93, 11, 2082, 989, 33, 9, 7, 74, 28444, 400, 50223, 470, 29176, 8, 7581, 7341, 237, 1157, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 48, 10260, 29, 237, 1157, 12274, 4, 93, 50244, 50223, 71, 50191, 7509, 165, 21517, 11317, 34345, 6901, 932, 4, 13, 29897, 11890, 4005, 33, 50223, 205, 36429, 4089, 4950, 4, 50223, 211, 50191, 7509, 165, 16, 901, 8380, 881, 6401, 8345, 21517, 11317, 34345, 8, 7414, 12, 3507, 50223, 100, 32445, 1338, 4, 50223, 134, 50191, 7509, 165, 899, 4082, 214, 34543, 33, 7433, 23, 10895, 1301, 13153, 50223, 56, 48126, 14108, 34345, 82, 237, 1157, 8, 10123, 3331, 8, 9124, 28164, 4, 50223, 201, 50191, 7509, 165, 17998, 2774, 11317, 34345, 18, 34345, 4, 108, 96, 31916, 33, 617, 379, 29340, 15027, 50223, 23907, 799, 4, 50223, 179, 50191, 10, 11, 2747, 8, 13121, 161, 19362, 237, 1157, 5, 50223, 328, 5, 38079, 17, 36053, 438, 91, 38867, 747, 28887, 6308, 723, 4, 660, 10, 46614, 5, 50223, 182, 2866, 1891, 12693, 17, 36053, 9, 5073, 154, 41340, 3710, 453, 7, 7728, 6329, 189, 4, 50223, 25250, 11333, 82, 1680, 5, 229, 332, 1973, 1157, 5, 2355, 26161, 10, 13102, 7671, 12539, 50223, 32589, 11576, 17, 36053, 29, 1157, 6, 8, 265, 82, 1680, 5, 229, 332, 1973, 1157, 7671, 4, 50223, 14632, 99, 223, 7544, 18245, 11890, 9508, 287, 4, 83, 57, 9, 6468, 2399, 17, 74, 15374, 34847, 5, 50223, 521, 13322, 636, 29, 1157, 9, 960, 8, 1617, 3331, 35713, 4, 6, 11, 3323, 864, 16751, 36558, 5, 50223, 266, 5, 34124, 7306, 400, 9, 6387, 4, 13, 6208, 8380, 481, 23402, 15, 2, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100 ]
[ 0, 8380, 185, 22376, 22983, 1572, 4, 50223, 211, 50191, 8380, 185, 14600, 252, 110, 47554, 1924, 50245, 17655, 96, 19917, 10, 1943, 12433, 774, 50223, 71, 1628, 39372, 4283, 7671, 26867, 4855, 23835, 28, 42754, 50223, 15198, 68, 116, 21744, 4, 50223, 134, 50191, 10115, 4540, 8284, 4432, 1157, 6, 11, 7671, 571, 8, 2185, 1182, 23077, 24504, 950, 1680, 5, 107, 638, 50223, 234, 5, 429, 50209, 14220, 239, 5, 15, 5, 17, 19160, 249, 6, 18457, 4921, 8, 4083, 6284, 3333, 7, 21971, 50223, 293, 4554, 81, 8452, 33334, 7, 5069, 7509, 453, 4, 50223, 201, 50191, 48710, 636, 29, 1157, 4, 93, 11, 2082, 989, 33, 9, 7, 74, 28444, 400, 50223, 470, 29176, 8, 7581, 7341, 237, 1157, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 48, 10260, 29, 237, 1157, 12274, 4, 93, 50244, 50223, 71, 50191, 7509, 165, 21517, 11317, 34345, 6901, 932, 4, 13, 29897, 11890, 4005, 33, 50223, 205, 36429, 4089, 4950, 4, 50223, 211, 50191, 7509, 165, 16, 901, 8380, 881, 6401, 8345, 21517, 11317, 34345, 8, 7414, 12, 3507, 50223, 100, 32445, 1338, 4, 50223, 134, 50191, 7509, 165, 899, 4082, 214, 34543, 33, 7433, 23, 10895, 1301, 13153, 50223, 56, 48126, 14108, 34345, 82, 237, 1157, 8, 10123, 3331, 8, 9124, 28164, 4, 50223, 201, 50191, 7509, 165, 17998, 2774, 11317, 34345, 18, 34345, 4, 108, 96, 31916, 33, 617, 379, 29340, 15027, 50223, 23907, 799, 4, 50223, 179, 50191, 10, 11, 2747, 8, 13121, 161, 19362, 237, 1157, 5, 50223, 328, 5, 38079, 17, 36053, 438, 91, 38867, 747, 28887, 6308, 723, 4, 660, 10, 46614, 5, 50223, 182, 2866, 1891, 12693, 17, 36053, 9, 5073, 154, 41340, 3710, 453, 7, 7728, 6329, 189, 4, 50223, 25250, 11333, 82, 1680, 5, 229, 332, 1973, 1157, 5, 2355, 26161, 10, 13102, 7671, 12539, 50223, 32589, 11576, 17, 36053, 29, 1157, 6, 8, 265, 82, 1680, 5, 229, 332, 1973, 1157, 7671, 4, 50223, 14632, 99, 223, 7544, 18245, 11890, 9508, 287, 4, 83, 57, 9, 6468, 2399, 17, 74, 15374, 34847, 5, 50223, 521, 13322, 636, 29, 1157, 9, 960, 8, 1617, 3331, 35713, 4, 6, 11, 3323, 864, 16751, 36558, 5, 50223, 266, 5, 34124, 7306, 400, 9, 6387, 4, 13, 6208, 8380, 481, 23402, 15, 10675, 3003, 50223, 290, 4866, 1223, 3507, 21737, 1182, 50189, 4326, 15406, 18045, 4, 14600, 4, 14492, 29, 237, 1157, 33, 50223, 1006, 3096, 1266, 22057, 4950, 50191, 9, 240, 9293, 23, 38867, 16, 8, 265, 4, 93, 9, 50223, 470, 9208, 3977, 23727, 53, 9485, 96, 7, 2956, 13438, 29897, 2875, 50209, 7509, 453, 5218, 50223, 25289, 10751, 11890, 19, 1123, 190, 2782, 256, 1182, 50189, 17413, 31090, 15, 1924, 3323, 1210, 1059, 22404, 8380, 481, 33, 50223, 52, 1210, 17893, 7193, 8380, 481, 8, 9627, 116, 9124, 4, 1361, 15, 1924, 28539, 6468, 26008, 50191, 50245, 8, 50223, 88, 1330, 2188, 265, 9, 8380, 450, 2630, 23, 7728, 18259, 7671, 4, 57, 124, 18245, 11890, 50223, 9180, 153, 23727, 53, 9508, 406, 4, 83, 57, 9, 6468, 2399, 17, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
[ 0, 48, 10260, 29, 237, 1157, 12274, 4, 93, 50244, 50223, 71, 50191, 7509, 165, 21517, 11317, 34345, 6901, 932, 4, 13, 29897, 11890, 4005, 33, 50223, 205, 36429, 4089, 4950, 4, 50223, 211, 50191, 7509, 165, 16, 901, 8380, 881, 6401, 8345, 21517, 11317, 34345, 8, 7414, 12, 3507, 50223, 100, 32445, 1338, 4, 50223, 134, 50191, 7509, 165, 899, 4082, 214, 34543, 33, 7433, 23, 10895, 1301, 13153, 50223, 56, 48126, 14108, 34345, 82, 237, 1157, 8, 10123, 3331, 8, 9124, 28164, 4, 50223, 201, 50191, 7509, 165, 17998, 2774, 11317, 34345, 18, 34345, 4, 108, 96, 31916, 33, 617, 379, 29340, 15027, 50223, 23907, 799, 4, 50223, 179, 50191, 10, 11, 2747, 8, 13121, 161, 19362, 237, 1157, 5, 50223, 328, 5, 38079, 17, 36053, 438, 91, 38867, 747, 28887, 6308, 723, 4, 660, 10, 46614, 5, 50223, 182, 2866, 1891, 12693, 17, 36053, 9, 5073, 154, 41340, 3710, 453, 7, 7728, 6329, 189, 4, 50223, 25250, 11333, 82, 1680, 5, 229, 332, 1973, 1157, 5, 2355, 26161, 10, 13102, 7671, 12539, 50223, 32589, 11576, 17, 36053, 29, 1157, 6, 8, 265, 82, 1680, 5, 229, 332, 1973, 1157, 7671, 4, 50223, 14632, 99, 223, 7544, 18245, 11890, 9508, 287, 4, 83, 57, 9, 6468, 2399, 17, 74, 15374, 34847, 5, 50223, 521, 13322, 636, 29, 1157, 9, 960, 8, 1617, 3331, 35713, 4, 6, 11, 3323, 864, 16751, 36558, 5, 50223, 266, 5, 34124, 7306, 400, 9, 6387, 4, 13, 6208, 8380, 481, 23402, 15, 10675, 3003, 50223, 290, 4866, 1223, 3507, 21737, 1182, 50189, 4326, 15406, 18045, 4, 14600, 4, 14492, 29, 237, 1157, 33, 50223, 1006, 3096, 1266, 22057, 4950, 50191, 9, 240, 9293, 23, 38867, 16, 8, 265, 4, 93, 9, 50223, 470, 9208, 3977, 23727, 53, 9485, 96, 7, 2956, 13438, 29897, 2875, 50209, 7509, 453, 5218, 50223, 25289, 10751, 11890, 19, 1123, 190, 2782, 256, 1182, 50189, 17413, 31090, 15, 1924, 3323, 1210, 1059, 22404, 8380, 481, 33, 50223, 52, 1210, 17893, 7193, 8380, 481, 8, 9627, 116, 9124, 4, 1361, 15, 1924, 28539, 6468, 26008, 50191, 50245, 8, 50223, 88, 1330, 2188, 265, 9, 8380, 450, 2630, 23, 7728, 18259, 7671, 4, 57, 124, 18245, 11890, 50223, 9180, 153, 23727, 53, 9508, 406, 4, 83, 57, 9, 6468, 2399, 17, 74, 15374, 34847, 5, 50223, 444, 5, 159, 265, 4, 93, 2119, 7509, 165, 8764, 11317, 34345, 67, 30242, 237, 1157, 4, 1396, 5, 50223, 7921, 11317, 34345, 8764, 16, 28, 6067, 15778, 1157, 8, 265, 4, 93, 11334, 30, 102, 50223, 854, 851, 996, 4, 48, 9259, 17936, 14108, 34345, 94, 18, 43870, 16751, 1618, 50223, 96, 7956, 116, 1157, 4, 1396, 5, 94, 18, 20672, 18512, 6, 18, 14040, 101, 627, 14108, 34345, 50223, 96, 7956, 391, 4, 5626, 15620, 77, 400, 29897, 2875, 19, 41314, 73, 12237, 282, 8, 50223, 100, 33467, 9661, 1182, 23077, 24504, 2345, 253, 6, 856, 158, 5, 28913, 19088, 5, 3023, 1363, 41314, 168, 50223, 9137, 4367, 449, 8495, 6, 2179, 12299, 116, 530, 5551, 11892, 7509, 168, 6, 20871, 1926, 22471, 50223, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
[ 0, 91, 38867, 747, 28887, 6308, 723, 4, 660, 10, 46614, 5, 50223, 182, 2866, 1891, 12693, 17, 36053, 9, 5073, 154, 41340, 3710, 453, 7, 7728, 6329, 189, 4, 50223, 25250, 11333, 82, 1680, 5, 229, 332, 1973, 1157, 5, 2355, 26161, 10, 13102, 7671, 12539, 50223, 32589, 11576, 17, 36053, 29, 1157, 6, 8, 265, 82, 1680, 5, 229, 332, 1973, 1157, 7671, 4, 50223, 14632, 99, 223, 7544, 18245, 11890, 9508, 287, 4, 83, 57, 9, 6468, 2399, 17, 74, 15374, 34847, 5, 50223, 521, 13322, 636, 29, 1157, 9, 960, 8, 1617, 3331, 35713, 4, 6, 11, 3323, 864, 16751, 36558, 5, 50223, 266, 5, 34124, 7306, 400, 9, 6387, 4, 13, 6208, 8380, 481, 23402, 15, 10675, 3003, 50223, 290, 4866, 1223, 3507, 21737, 1182, 50189, 4326, 15406, 18045, 4, 14600, 4, 14492, 29, 237, 1157, 33, 50223, 1006, 3096, 1266, 22057, 4950, 50191, 9, 240, 9293, 23, 38867, 16, 8, 265, 4, 93, 9, 50223, 470, 9208, 3977, 23727, 53, 9485, 96, 7, 2956, 13438, 29897, 2875, 50209, 7509, 453, 5218, 50223, 25289, 10751, 11890, 19, 1123, 190, 2782, 256, 1182, 50189, 17413, 31090, 15, 1924, 3323, 1210, 1059, 22404, 8380, 481, 33, 50223, 52, 1210, 17893, 7193, 8380, 481, 8, 9627, 116, 9124, 4, 1361, 15, 1924, 28539, 6468, 26008, 50191, 50245, 8, 50223, 88, 1330, 2188, 265, 9, 8380, 450, 2630, 23, 7728, 18259, 7671, 4, 57, 124, 18245, 11890, 50223, 9180, 153, 23727, 53, 9508, 406, 4, 83, 57, 9, 6468, 2399, 17, 74, 15374, 34847, 5, 50223, 444, 5, 159, 265, 4, 93, 2119, 7509, 165, 8764, 11317, 34345, 67, 30242, 237, 1157, 4, 1396, 5, 50223, 7921, 11317, 34345, 8764, 16, 28, 6067, 15778, 1157, 8, 265, 4, 93, 11334, 30, 102, 50223, 854, 851, 996, 4, 48, 9259, 17936, 14108, 34345, 94, 18, 43870, 16751, 1618, 50223, 96, 7956, 116, 1157, 4, 1396, 5, 94, 18, 20672, 18512, 6, 18, 14040, 101, 627, 14108, 34345, 50223, 96, 7956, 391, 4, 5626, 15620, 77, 400, 29897, 2875, 19, 41314, 73, 12237, 282, 8, 50223, 100, 33467, 9661, 1182, 23077, 24504, 2345, 253, 6, 856, 158, 5, 28913, 19088, 5, 3023, 1363, 41314, 168, 50223, 9137, 4367, 449, 8495, 6, 2179, 12299, 116, 530, 5551, 11892, 7509, 168, 6, 20871, 1926, 22471, 50223, 31659, 9982, 5, 15776, 1680, 5, 150, 5183, 5, 657, 50191, 332, 1973, 1157, 5, 34124, 7306, 400, 9, 6387, 4, 13, 210, 50223, 702, 4108, 1157, 48, 22875, 6, 20657, 16, 28, 6067, 237, 1157, 5, 50223, 1046, 47864, 159, 20024, 1182, 50223, 24766, 177, 6, 3488, 22983, 1572, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 9, 20913, 303, 15778, 237, 1157, 427, 50244, 50223, 71, 50191, 15575, 6, 9431, 9, 17, 11317, 34345, 4, 50223, 211, 50191, 36183, 201, 4380, 2183, 3938, 12, 24028, 985, 26486, 1955, 14108, 34345, 6, 10510, 11512, 50223, 4326, 15406, 10510, 11512, 9310, 12, 48126, 15086, 4889, 2964, 4, 1651, 50223, 71, 13554, 19, 16, 15063, 1738, 8728, 1651, 33, 13554, 4, 93, 50223, 43457, 7, 17471, 5884, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 1182, 50189, 4326, 15406, 18045, 4, 14600, 4, 14492, 29, 237, 1157, 33, 50223, 1006, 3096, 1266, 22057, 4950, 50191, 9, 240, 9293, 23, 38867, 16, 8, 265, 4, 93, 9, 50223, 470, 9208, 3977, 23727, 53, 9485, 96, 7, 2956, 13438, 29897, 2875, 50209, 7509, 453, 5218, 50223, 25289, 10751, 11890, 19, 1123, 190, 2782, 256, 1182, 50189, 17413, 31090, 15, 1924, 3323, 1210, 1059, 22404, 8380, 481, 33, 50223, 52, 1210, 17893, 7193, 8380, 481, 8, 9627, 116, 9124, 4, 1361, 15, 1924, 28539, 6468, 26008, 50191, 50245, 8, 50223, 88, 1330, 2188, 265, 9, 8380, 450, 2630, 23, 7728, 18259, 7671, 4, 57, 124, 18245, 11890, 50223, 9180, 153, 23727, 53, 9508, 406, 4, 83, 57, 9, 6468, 2399, 17, 74, 15374, 34847, 5, 50223, 444, 5, 159, 265, 4, 93, 2119, 7509, 165, 8764, 11317, 34345, 67, 30242, 237, 1157, 4, 1396, 5, 50223, 7921, 11317, 34345, 8764, 16, 28, 6067, 15778, 1157, 8, 265, 4, 93, 11334, 30, 102, 50223, 854, 851, 996, 4, 48, 9259, 17936, 14108, 34345, 94, 18, 43870, 16751, 1618, 50223, 96, 7956, 116, 1157, 4, 1396, 5, 94, 18, 20672, 18512, 6, 18, 14040, 101, 627, 14108, 34345, 50223, 96, 7956, 391, 4, 5626, 15620, 77, 400, 29897, 2875, 19, 41314, 73, 12237, 282, 8, 50223, 100, 33467, 9661, 1182, 23077, 24504, 2345, 253, 6, 856, 158, 5, 28913, 19088, 5, 3023, 1363, 41314, 168, 50223, 9137, 4367, 449, 8495, 6, 2179, 12299, 116, 530, 5551, 11892, 7509, 168, 6, 20871, 1926, 22471, 50223, 31659, 9982, 5, 15776, 1680, 5, 150, 5183, 5, 657, 50191, 332, 1973, 1157, 5, 34124, 7306, 400, 9, 6387, 4, 13, 210, 50223, 702, 4108, 1157, 48, 22875, 6, 20657, 16, 28, 6067, 237, 1157, 5, 50223, 1046, 47864, 159, 20024, 1182, 50223, 24766, 177, 6, 3488, 22983, 1572, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 9, 20913, 303, 15778, 237, 1157, 427, 50244, 50223, 71, 50191, 15575, 6, 9431, 9, 17, 11317, 34345, 4, 50223, 211, 50191, 36183, 201, 4380, 2183, 3938, 12, 24028, 985, 26486, 1955, 14108, 34345, 6, 10510, 11512, 50223, 4326, 15406, 10510, 11512, 9310, 12, 48126, 15086, 4889, 2964, 4, 1651, 50223, 71, 13554, 19, 16, 15063, 1738, 8728, 1651, 33, 13554, 4, 93, 50223, 43457, 7, 17471, 5884, 12425, 33, 39832, 14024, 1123, 929, 742, 5104, 2418, 4, 27, 2845, 4, 50223, 134, 50191, 17559, 11853, 29897, 2875, 1993, 18, 14108, 34345, 23, 5198, 2130, 449, 50223, 1959, 17242, 2447, 6, 10513, 43, 18512, 4, 23, 5198, 6820, 627, 8609, 6, 23, 50223, 293, 21854, 68, 24315, 6, 26547, 194, 11107, 1235, 15611, 4, 50223, 201, 50191, 30884, 547, 11668, 11317, 34345, 18, 18512, 33, 18, 108, 96, 31916, 4591, 6165, 110, 50223, 4767, 4753, 3608, 31087, 7663, 29897, 2875, 4, 50223, 179, 50191, 11619, 39808, 5, 508, 5, 5184, 259, 50209, 15024, 239, 5, 15, 551, 50223, 235, 50191, 8948, 9238, 783, 44668, 5, 50223, 196, 5, 3206, 7956, 165, 37, 10, 10260, 5914, 8, 9134, 51, 34345, 9798, 7011, 50223, 71, 5914, 517, 1458, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 159, 265, 4, 93, 2119, 7509, 165, 8764, 11317, 34345, 67, 30242, 237, 1157, 4, 1396, 5, 50223, 7921, 11317, 34345, 8764, 16, 28, 6067, 15778, 1157, 8, 265, 4, 93, 11334, 30, 102, 50223, 854, 851, 996, 4, 48, 9259, 17936, 14108, 34345, 94, 18, 43870, 16751, 1618, 50223, 96, 7956, 116, 1157, 4, 1396, 5, 94, 18, 20672, 18512, 6, 18, 14040, 101, 627, 14108, 34345, 50223, 96, 7956, 391, 4, 5626, 15620, 77, 400, 29897, 2875, 19, 41314, 73, 12237, 282, 8, 50223, 100, 33467, 9661, 1182, 23077, 24504, 2345, 253, 6, 856, 158, 5, 28913, 19088, 5, 3023, 1363, 41314, 168, 50223, 9137, 4367, 449, 8495, 6, 2179, 12299, 116, 530, 5551, 11892, 7509, 168, 6, 20871, 1926, 22471, 50223, 31659, 9982, 5, 15776, 1680, 5, 150, 5183, 5, 657, 50191, 332, 1973, 1157, 5, 34124, 7306, 400, 9, 6387, 4, 13, 210, 50223, 702, 4108, 1157, 48, 22875, 6, 20657, 16, 28, 6067, 237, 1157, 5, 50223, 1046, 47864, 159, 20024, 1182, 50223, 24766, 177, 6, 3488, 22983, 1572, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 9, 20913, 303, 15778, 237, 1157, 427, 50244, 50223, 71, 50191, 15575, 6, 9431, 9, 17, 11317, 34345, 4, 50223, 211, 50191, 36183, 201, 4380, 2183, 3938, 12, 24028, 985, 26486, 1955, 14108, 34345, 6, 10510, 11512, 50223, 4326, 15406, 10510, 11512, 9310, 12, 48126, 15086, 4889, 2964, 4, 1651, 50223, 71, 13554, 19, 16, 15063, 1738, 8728, 1651, 33, 13554, 4, 93, 50223, 43457, 7, 17471, 5884, 12425, 33, 39832, 14024, 1123, 929, 742, 5104, 2418, 4, 27, 2845, 4, 50223, 134, 50191, 17559, 11853, 29897, 2875, 1993, 18, 14108, 34345, 23, 5198, 2130, 449, 50223, 1959, 17242, 2447, 6, 10513, 43, 18512, 4, 23, 5198, 6820, 627, 8609, 6, 23, 50223, 293, 21854, 68, 24315, 6, 26547, 194, 11107, 1235, 15611, 4, 50223, 201, 50191, 30884, 547, 11668, 11317, 34345, 18, 18512, 33, 18, 108, 96, 31916, 4591, 6165, 110, 50223, 4767, 4753, 3608, 31087, 7663, 29897, 2875, 4, 50223, 179, 50191, 11619, 39808, 5, 508, 5, 5184, 259, 50209, 15024, 239, 5, 15, 551, 50223, 235, 50191, 8948, 9238, 783, 44668, 5, 50223, 196, 5, 3206, 7956, 165, 37, 10, 10260, 5914, 8, 9134, 51, 34345, 9798, 7011, 50223, 71, 5914, 517, 1458, 7, 12253, 26122, 4658, 110, 7663, 29897, 2875, 5, 50223, 259, 5, 3206, 7956, 165, 10, 2933, 110, 23252, 26169, 12900, 29897, 11890, 5289, 50223, 48055, 4894, 163, 8609, 4, 19, 16, 2406, 28803, 4, 14953, 33, 39444, 14108, 50223, 96, 31916, 5, 50223, 328, 5, 3206, 7956, 165, 9, 8, 628, 9753, 6, 16751, 1157, 20913, 3334, 6, 11619, 50223, 1776, 209, 481, 23402, 77, 638, 1270, 328, 50209, 20014, 239, 5, 15, 5, 17, 3556, 67, 9365, 8326, 8, 4083, 50223, 52, 9761, 1197, 3333, 6, 683, 10, 2933, 30988, 9, 12, 9365, 1669, 21311, 2543, 793, 50223, 20197, 28938, 6, 9705, 767, 14035, 71, 1485, 26285, 10463, 29897, 2875, 6, 8495, 23, 43, 50223, 48627, 35206, 933, 5, 50223, 266, 5, 3206, 7956, 165, 9, 20913, 4, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 1680, 5, 150, 5183, 5, 657, 50191, 332, 1973, 1157, 5, 34124, 7306, 400, 9, 6387, 4, 13, 210, 50223, 702, 4108, 1157, 48, 22875, 6, 20657, 16, 28, 6067, 237, 1157, 5, 50223, 1046, 47864, 159, 20024, 1182, 50223, 24766, 177, 6, 3488, 22983, 1572, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 9, 20913, 303, 15778, 237, 1157, 427, 50244, 50223, 71, 50191, 15575, 6, 9431, 9, 17, 11317, 34345, 4, 50223, 211, 50191, 36183, 201, 4380, 2183, 3938, 12, 24028, 985, 26486, 1955, 14108, 34345, 6, 10510, 11512, 50223, 4326, 15406, 10510, 11512, 9310, 12, 48126, 15086, 4889, 2964, 4, 1651, 50223, 71, 13554, 19, 16, 15063, 1738, 8728, 1651, 33, 13554, 4, 93, 50223, 43457, 7, 17471, 5884, 12425, 33, 39832, 14024, 1123, 929, 742, 5104, 2418, 4, 27, 2845, 4, 50223, 134, 50191, 17559, 11853, 29897, 2875, 1993, 18, 14108, 34345, 23, 5198, 2130, 449, 50223, 1959, 17242, 2447, 6, 10513, 43, 18512, 4, 23, 5198, 6820, 627, 8609, 6, 23, 50223, 293, 21854, 68, 24315, 6, 26547, 194, 11107, 1235, 15611, 4, 50223, 201, 50191, 30884, 547, 11668, 11317, 34345, 18, 18512, 33, 18, 108, 96, 31916, 4591, 6165, 110, 50223, 4767, 4753, 3608, 31087, 7663, 29897, 2875, 4, 50223, 179, 50191, 11619, 39808, 5, 508, 5, 5184, 259, 50209, 15024, 239, 5, 15, 551, 50223, 235, 50191, 8948, 9238, 783, 44668, 5, 50223, 196, 5, 3206, 7956, 165, 37, 10, 10260, 5914, 8, 9134, 51, 34345, 9798, 7011, 50223, 71, 5914, 517, 1458, 7, 12253, 26122, 4658, 110, 7663, 29897, 2875, 5, 50223, 259, 5, 3206, 7956, 165, 10, 2933, 110, 23252, 26169, 12900, 29897, 11890, 5289, 50223, 48055, 4894, 163, 8609, 4, 19, 16, 2406, 28803, 4, 14953, 33, 39444, 14108, 50223, 96, 31916, 5, 50223, 328, 5, 3206, 7956, 165, 9, 8, 628, 9753, 6, 16751, 1157, 20913, 3334, 6, 11619, 50223, 1776, 209, 481, 23402, 77, 638, 1270, 328, 50209, 20014, 239, 5, 15, 5, 17, 3556, 67, 9365, 8326, 8, 4083, 50223, 52, 9761, 1197, 3333, 6, 683, 10, 2933, 30988, 9, 12, 9365, 1669, 21311, 2543, 793, 50223, 20197, 28938, 6, 9705, 767, 14035, 71, 1485, 26285, 10463, 29897, 2875, 6, 8495, 23, 43, 50223, 48627, 35206, 933, 5, 50223, 266, 5, 3206, 7956, 165, 9, 20913, 4, 13, 38, 502, 1383, 8, 9134, 51, 34345, 48, 8, 1617, 3331, 50223, 2164, 1525, 4175, 23402, 77, 638, 508, 5, 36098, 50209, 11605, 239, 5, 15, 5, 17, 3592, 6, 3556, 4393, 38, 50223, 6683, 104, 6, 17, 2909, 6, 9689, 1085, 3833, 8, 4083, 6284, 3333, 50223, 71, 8495, 23, 17341, 8443, 3333, 8, 549, 4658, 5, 50223, 444, 5, 3206, 7956, 165, 7, 2101, 2183, 10016, 1838, 4981, 2856, 8, 1005, 1223, 18, 50223, 4767, 87, 194, 34345, 4, 19, 16, 12253, 42441, 2856, 5, 50223, 497, 5, 34124, 7306, 400, 9, 6387, 4, 13, 7509, 165, 303, 15778, 7509, 168, 3003, 8495, 50223, 190, 10123, 3331, 23, 3160, 483, 9933, 1733, 4, 808, 9, 20913, 50223, 465, 9315, 389, 306, 740, 2700, 7, 40163, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 1123, 929, 742, 5104, 2418, 4, 27, 2845, 4, 50223, 134, 50191, 17559, 11853, 29897, 2875, 1993, 18, 14108, 34345, 23, 5198, 2130, 449, 50223, 1959, 17242, 2447, 6, 10513, 43, 18512, 4, 23, 5198, 6820, 627, 8609, 6, 23, 50223, 293, 21854, 68, 24315, 6, 26547, 194, 11107, 1235, 15611, 4, 50223, 201, 50191, 30884, 547, 11668, 11317, 34345, 18, 18512, 33, 18, 108, 96, 31916, 4591, 6165, 110, 50223, 4767, 4753, 3608, 31087, 7663, 29897, 2875, 4, 50223, 179, 50191, 11619, 39808, 5, 508, 5, 5184, 259, 50209, 15024, 239, 5, 15, 551, 50223, 235, 50191, 8948, 9238, 783, 44668, 5, 50223, 196, 5, 3206, 7956, 165, 37, 10, 10260, 5914, 8, 9134, 51, 34345, 9798, 7011, 50223, 71, 5914, 517, 1458, 7, 12253, 26122, 4658, 110, 7663, 29897, 2875, 5, 50223, 259, 5, 3206, 7956, 165, 10, 2933, 110, 23252, 26169, 12900, 29897, 11890, 5289, 50223, 48055, 4894, 163, 8609, 4, 19, 16, 2406, 28803, 4, 14953, 33, 39444, 14108, 50223, 96, 31916, 5, 50223, 328, 5, 3206, 7956, 165, 9, 8, 628, 9753, 6, 16751, 1157, 20913, 3334, 6, 11619, 50223, 1776, 209, 481, 23402, 77, 638, 1270, 328, 50209, 20014, 239, 5, 15, 5, 17, 3556, 67, 9365, 8326, 8, 4083, 50223, 52, 9761, 1197, 3333, 6, 683, 10, 2933, 30988, 9, 12, 9365, 1669, 21311, 2543, 793, 50223, 20197, 28938, 6, 9705, 767, 14035, 71, 1485, 26285, 10463, 29897, 2875, 6, 8495, 23, 43, 50223, 48627, 35206, 933, 5, 50223, 266, 5, 3206, 7956, 165, 9, 20913, 4, 13, 38, 502, 1383, 8, 9134, 51, 34345, 48, 8, 1617, 3331, 50223, 2164, 1525, 4175, 23402, 77, 638, 508, 5, 36098, 50209, 11605, 239, 5, 15, 5, 17, 3592, 6, 3556, 4393, 38, 50223, 6683, 104, 6, 17, 2909, 6, 9689, 1085, 3833, 8, 4083, 6284, 3333, 50223, 71, 8495, 23, 17341, 8443, 3333, 8, 549, 4658, 5, 50223, 444, 5, 3206, 7956, 165, 7, 2101, 2183, 10016, 1838, 4981, 2856, 8, 1005, 1223, 18, 50223, 4767, 87, 194, 34345, 4, 19, 16, 12253, 42441, 2856, 5, 50223, 497, 5, 34124, 7306, 400, 9, 6387, 4, 13, 7509, 165, 303, 15778, 7509, 168, 3003, 8495, 50223, 190, 10123, 3331, 23, 3160, 483, 9933, 1733, 4, 808, 9, 20913, 50223, 465, 9315, 389, 306, 740, 2700, 7, 40163, 282, 2720, 21799, 4, 1396, 5, 2883, 35936, 4, 50223, 71, 11, 7, 2101, 2183, 5, 50223, 528, 5, 34124, 7306, 400, 9, 6387, 4, 13, 7509, 165, 10, 2933, 31851, 11401, 1432, 331, 50223, 35516, 238, 1817, 1733, 4, 39, 28284, 7, 9134, 51, 34345, 4, 6, 11, 15, 2568, 43, 50223, 9866, 481, 67, 18476, 68, 37197, 34931, 8, 2185, 20933, 6, 28729, 8722, 6, 50223, 4015, 7656, 18442, 5, 3206, 7956, 165, 10, 2933, 22295, 29897, 11890, 27029, 32973, 1173, 17, 50223, 465, 1282, 832, 34213, 13058, 6, 7301, 8191, 1182, 50189, 170, 897, 16236, 1173, 50191, 373, 3962, 50223, 35516, 238, 12133, 12448, 996, 749, 17408, 9, 8, 9134, 51, 34345, 4, 6, 11, 19276, 28, 102, 50223, 1874, 334, 832, 33, 2931, 7, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
[ 0, 110, 7663, 29897, 2875, 5, 50223, 259, 5, 3206, 7956, 165, 10, 2933, 110, 23252, 26169, 12900, 29897, 11890, 5289, 50223, 48055, 4894, 163, 8609, 4, 19, 16, 2406, 28803, 4, 14953, 33, 39444, 14108, 50223, 96, 31916, 5, 50223, 328, 5, 3206, 7956, 165, 9, 8, 628, 9753, 6, 16751, 1157, 20913, 3334, 6, 11619, 50223, 1776, 209, 481, 23402, 77, 638, 1270, 328, 50209, 20014, 239, 5, 15, 5, 17, 3556, 67, 9365, 8326, 8, 4083, 50223, 52, 9761, 1197, 3333, 6, 683, 10, 2933, 30988, 9, 12, 9365, 1669, 21311, 2543, 793, 50223, 20197, 28938, 6, 9705, 767, 14035, 71, 1485, 26285, 10463, 29897, 2875, 6, 8495, 23, 43, 50223, 48627, 35206, 933, 5, 50223, 266, 5, 3206, 7956, 165, 9, 20913, 4, 13, 38, 502, 1383, 8, 9134, 51, 34345, 48, 8, 1617, 3331, 50223, 2164, 1525, 4175, 23402, 77, 638, 508, 5, 36098, 50209, 11605, 239, 5, 15, 5, 17, 3592, 6, 3556, 4393, 38, 50223, 6683, 104, 6, 17, 2909, 6, 9689, 1085, 3833, 8, 4083, 6284, 3333, 50223, 71, 8495, 23, 17341, 8443, 3333, 8, 549, 4658, 5, 50223, 444, 5, 3206, 7956, 165, 7, 2101, 2183, 10016, 1838, 4981, 2856, 8, 1005, 1223, 18, 50223, 4767, 87, 194, 34345, 4, 19, 16, 12253, 42441, 2856, 5, 50223, 497, 5, 34124, 7306, 400, 9, 6387, 4, 13, 7509, 165, 303, 15778, 7509, 168, 3003, 8495, 50223, 190, 10123, 3331, 23, 3160, 483, 9933, 1733, 4, 808, 9, 20913, 50223, 465, 9315, 389, 306, 740, 2700, 7, 40163, 282, 2720, 21799, 4, 1396, 5, 2883, 35936, 4, 50223, 71, 11, 7, 2101, 2183, 5, 50223, 528, 5, 34124, 7306, 400, 9, 6387, 4, 13, 7509, 165, 10, 2933, 31851, 11401, 1432, 331, 50223, 35516, 238, 1817, 1733, 4, 39, 28284, 7, 9134, 51, 34345, 4, 6, 11, 15, 2568, 43, 50223, 9866, 481, 67, 18476, 68, 37197, 34931, 8, 2185, 20933, 6, 28729, 8722, 6, 50223, 4015, 7656, 18442, 5, 3206, 7956, 165, 10, 2933, 22295, 29897, 11890, 27029, 32973, 1173, 17, 50223, 465, 1282, 832, 34213, 13058, 6, 7301, 8191, 1182, 50189, 170, 897, 16236, 1173, 50191, 373, 3962, 50223, 35516, 238, 12133, 12448, 996, 749, 17408, 9, 8, 9134, 51, 34345, 4, 6, 11, 19276, 28, 102, 50223, 1874, 334, 832, 33, 2931, 7, 713, 3998, 29897, 2875, 5, 159, 265, 18672, 332, 50223, 702, 48430, 1157, 10, 29897, 1672, 10260, 12274, 29, 237, 1157, 5, 50223, 612, 5, 225, 1402, 654, 13164, 1672, 27292, 7509, 2042, 23, 9238, 7, 5783, 47364, 8, 12253, 26122, 50223, 13779, 5102, 553, 4, 39, 31, 45, 18888, 7509, 453, 33, 1648, 4, 39, 9, 7, 9134, 51, 34345, 60, 50223, 4468, 956, 991, 7509, 453, 3648, 4, 640, 11333, 4, 93, 9, 37236, 4, 13, 29897, 1672, 706, 50223, 2622, 428, 23538, 214, 5, 50223, 828, 5, 3206, 7956, 165, 10016, 4, 41, 306, 1371, 19265, 1747, 9, 8, 9134, 51, 34345, 12115, 700, 3024, 50223, 11858, 3439, 5, 50223, 1164, 5, 3206, 7956, 165, 9, 20913, 4, 13, 38, 34816, 14108, 34345, 10016, 45, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
[ 0, 502, 1383, 8, 9134, 51, 34345, 48, 8, 1617, 3331, 50223, 2164, 1525, 4175, 23402, 77, 638, 508, 5, 36098, 50209, 11605, 239, 5, 15, 5, 17, 3592, 6, 3556, 4393, 38, 50223, 6683, 104, 6, 17, 2909, 6, 9689, 1085, 3833, 8, 4083, 6284, 3333, 50223, 71, 8495, 23, 17341, 8443, 3333, 8, 549, 4658, 5, 50223, 444, 5, 3206, 7956, 165, 7, 2101, 2183, 10016, 1838, 4981, 2856, 8, 1005, 1223, 18, 50223, 4767, 87, 194, 34345, 4, 19, 16, 12253, 42441, 2856, 5, 50223, 497, 5, 34124, 7306, 400, 9, 6387, 4, 13, 7509, 165, 303, 15778, 7509, 168, 3003, 8495, 50223, 190, 10123, 3331, 23, 3160, 483, 9933, 1733, 4, 808, 9, 20913, 50223, 465, 9315, 389, 306, 740, 2700, 7, 40163, 282, 2720, 21799, 4, 1396, 5, 2883, 35936, 4, 50223, 71, 11, 7, 2101, 2183, 5, 50223, 528, 5, 34124, 7306, 400, 9, 6387, 4, 13, 7509, 165, 10, 2933, 31851, 11401, 1432, 331, 50223, 35516, 238, 1817, 1733, 4, 39, 28284, 7, 9134, 51, 34345, 4, 6, 11, 15, 2568, 43, 50223, 9866, 481, 67, 18476, 68, 37197, 34931, 8, 2185, 20933, 6, 28729, 8722, 6, 50223, 4015, 7656, 18442, 5, 3206, 7956, 165, 10, 2933, 22295, 29897, 11890, 27029, 32973, 1173, 17, 50223, 465, 1282, 832, 34213, 13058, 6, 7301, 8191, 1182, 50189, 170, 897, 16236, 1173, 50191, 373, 3962, 50223, 35516, 238, 12133, 12448, 996, 749, 17408, 9, 8, 9134, 51, 34345, 4, 6, 11, 19276, 28, 102, 50223, 1874, 334, 832, 33, 2931, 7, 713, 3998, 29897, 2875, 5, 159, 265, 18672, 332, 50223, 702, 48430, 1157, 10, 29897, 1672, 10260, 12274, 29, 237, 1157, 5, 50223, 612, 5, 225, 1402, 654, 13164, 1672, 27292, 7509, 2042, 23, 9238, 7, 5783, 47364, 8, 12253, 26122, 50223, 13779, 5102, 553, 4, 39, 31, 45, 18888, 7509, 453, 33, 1648, 4, 39, 9, 7, 9134, 51, 34345, 60, 50223, 4468, 956, 991, 7509, 453, 3648, 4, 640, 11333, 4, 93, 9, 37236, 4, 13, 29897, 1672, 706, 50223, 2622, 428, 23538, 214, 5, 50223, 828, 5, 3206, 7956, 165, 10016, 4, 41, 306, 1371, 19265, 1747, 9, 8, 9134, 51, 34345, 12115, 700, 3024, 50223, 11858, 3439, 5, 50223, 1164, 5, 3206, 7956, 165, 9, 20913, 4, 13, 38, 34816, 14108, 34345, 10016, 45, 12458, 4481, 4, 7, 50223, 56, 3368, 88, 3213, 6, 2183, 7, 20595, 60, 4089, 31667, 2682, 63, 8, 2185, 39808, 5, 50223, 234, 5, 12772, 50209, 5862, 239, 5, 15, 5, 17, 2682, 553, 6, 17, 2909, 6, 9689, 1085, 3833, 8, 4083, 50223, 52, 9761, 1197, 3333, 6, 737, 3333, 5, 50223, 1260, 5, 1504, 6067, 34345, 10, 7509, 165, 2933, 14009, 14040, 101, 816, 6, 28889, 319, 11317, 34345, 50223, 190, 2372, 4, 8, 7056, 54, 15779, 12, 46823, 7, 5747, 15595, 282, 4, 93, 9, 28444, 400, 50223, 52, 470, 29176, 660, 5, 159, 16484, 265, 10, 7509, 165, 2933, 22516, 29897, 11890, 50223, 100, 47701, 176, 7366, 45, 1493, 414, 4, 27, 1182, 49607, 14238, 27272, 23, 394, 16, 4697, 11255, 364, 45708, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
[ 0, 21799, 4, 1396, 5, 2883, 35936, 4, 50223, 71, 11, 7, 2101, 2183, 5, 50223, 528, 5, 34124, 7306, 400, 9, 6387, 4, 13, 7509, 165, 10, 2933, 31851, 11401, 1432, 331, 50223, 35516, 238, 1817, 1733, 4, 39, 28284, 7, 9134, 51, 34345, 4, 6, 11, 15, 2568, 43, 50223, 9866, 481, 67, 18476, 68, 37197, 34931, 8, 2185, 20933, 6, 28729, 8722, 6, 50223, 4015, 7656, 18442, 5, 3206, 7956, 165, 10, 2933, 22295, 29897, 11890, 27029, 32973, 1173, 17, 50223, 465, 1282, 832, 34213, 13058, 6, 7301, 8191, 1182, 50189, 170, 897, 16236, 1173, 50191, 373, 3962, 50223, 35516, 238, 12133, 12448, 996, 749, 17408, 9, 8, 9134, 51, 34345, 4, 6, 11, 19276, 28, 102, 50223, 1874, 334, 832, 33, 2931, 7, 713, 3998, 29897, 2875, 5, 159, 265, 18672, 332, 50223, 702, 48430, 1157, 10, 29897, 1672, 10260, 12274, 29, 237, 1157, 5, 50223, 612, 5, 225, 1402, 654, 13164, 1672, 27292, 7509, 2042, 23, 9238, 7, 5783, 47364, 8, 12253, 26122, 50223, 13779, 5102, 553, 4, 39, 31, 45, 18888, 7509, 453, 33, 1648, 4, 39, 9, 7, 9134, 51, 34345, 60, 50223, 4468, 956, 991, 7509, 453, 3648, 4, 640, 11333, 4, 93, 9, 37236, 4, 13, 29897, 1672, 706, 50223, 2622, 428, 23538, 214, 5, 50223, 828, 5, 3206, 7956, 165, 10016, 4, 41, 306, 1371, 19265, 1747, 9, 8, 9134, 51, 34345, 12115, 700, 3024, 50223, 11858, 3439, 5, 50223, 1164, 5, 3206, 7956, 165, 9, 20913, 4, 13, 38, 34816, 14108, 34345, 10016, 45, 12458, 4481, 4, 7, 50223, 56, 3368, 88, 3213, 6, 2183, 7, 20595, 60, 4089, 31667, 2682, 63, 8, 2185, 39808, 5, 50223, 234, 5, 12772, 50209, 5862, 239, 5, 15, 5, 17, 2682, 553, 6, 17, 2909, 6, 9689, 1085, 3833, 8, 4083, 50223, 52, 9761, 1197, 3333, 6, 737, 3333, 5, 50223, 1260, 5, 1504, 6067, 34345, 10, 7509, 165, 2933, 14009, 14040, 101, 816, 6, 28889, 319, 11317, 34345, 50223, 190, 2372, 4, 8, 7056, 54, 15779, 12, 46823, 7, 5747, 15595, 282, 4, 93, 9, 28444, 400, 50223, 52, 470, 29176, 660, 5, 159, 16484, 265, 10, 7509, 165, 2933, 22516, 29897, 11890, 50223, 100, 47701, 176, 7366, 45, 1493, 414, 4, 27, 1182, 49607, 14238, 27272, 23, 394, 16, 4697, 11255, 364, 45708, 60, 6396, 3991, 50223, 1776, 209, 481, 82, 17905, 11711, 5, 159, 265, 4, 93, 7509, 165, 6879, 1458, 7, 50223, 4767, 87, 51, 34345, 67, 30242, 237, 1157, 33, 303, 102, 15778, 4, 240, 28444, 50223, 1638, 135, 14119, 8, 2332, 12, 11179, 5, 1182, 23077, 24504, 6653, 497, 39808, 5, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 1182, 27, 30773, 289, 41348, 8, 4083, 50223, 52, 9761, 1197, 3333, 5, 1368, 7509, 165, 24863, 1458, 7, 9134, 51, 34345, 110, 7663, 50223, 147, 1402, 654, 13164, 2875, 4, 10, 2933, 28, 6067, 34345, 8882, 778, 7, 232, 2183, 18, 8215, 50223, 24255, 50245, 11, 8957, 4, 93, 21, 1304, 38, 21361, 237, 3488, 77, 400, 7509, 453, 9352, 10618, 50223, 128, 1854, 6202, 20636, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]
[ 0, 29897, 2875, 5, 159, 265, 18672, 332, 50223, 702, 48430, 1157, 10, 29897, 1672, 10260, 12274, 29, 237, 1157, 5, 50223, 612, 5, 225, 1402, 654, 13164, 1672, 27292, 7509, 2042, 23, 9238, 7, 5783, 47364, 8, 12253, 26122, 50223, 13779, 5102, 553, 4, 39, 31, 45, 18888, 7509, 453, 33, 1648, 4, 39, 9, 7, 9134, 51, 34345, 60, 50223, 4468, 956, 991, 7509, 453, 3648, 4, 640, 11333, 4, 93, 9, 37236, 4, 13, 29897, 1672, 706, 50223, 2622, 428, 23538, 214, 5, 50223, 828, 5, 3206, 7956, 165, 10016, 4, 41, 306, 1371, 19265, 1747, 9, 8, 9134, 51, 34345, 12115, 700, 3024, 50223, 11858, 3439, 5, 50223, 1164, 5, 3206, 7956, 165, 9, 20913, 4, 13, 38, 34816, 14108, 34345, 10016, 45, 12458, 4481, 4, 7, 50223, 56, 3368, 88, 3213, 6, 2183, 7, 20595, 60, 4089, 31667, 2682, 63, 8, 2185, 39808, 5, 50223, 234, 5, 12772, 50209, 5862, 239, 5, 15, 5, 17, 2682, 553, 6, 17, 2909, 6, 9689, 1085, 3833, 8, 4083, 50223, 52, 9761, 1197, 3333, 6, 737, 3333, 5, 50223, 1260, 5, 1504, 6067, 34345, 10, 7509, 165, 2933, 14009, 14040, 101, 816, 6, 28889, 319, 11317, 34345, 50223, 190, 2372, 4, 8, 7056, 54, 15779, 12, 46823, 7, 5747, 15595, 282, 4, 93, 9, 28444, 400, 50223, 52, 470, 29176, 660, 5, 159, 16484, 265, 10, 7509, 165, 2933, 22516, 29897, 11890, 50223, 100, 47701, 176, 7366, 45, 1493, 414, 4, 27, 1182, 49607, 14238, 27272, 23, 394, 16, 4697, 11255, 364, 45708, 60, 6396, 3991, 50223, 1776, 209, 481, 82, 17905, 11711, 5, 159, 265, 4, 93, 7509, 165, 6879, 1458, 7, 50223, 4767, 87, 51, 34345, 67, 30242, 237, 1157, 33, 303, 102, 15778, 4, 240, 28444, 50223, 1638, 135, 14119, 8, 2332, 12, 11179, 5, 1182, 23077, 24504, 6653, 497, 39808, 5, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 1182, 27, 30773, 289, 41348, 8, 4083, 50223, 52, 9761, 1197, 3333, 5, 1368, 7509, 165, 24863, 1458, 7, 9134, 51, 34345, 110, 7663, 50223, 147, 1402, 654, 13164, 2875, 4, 10, 2933, 28, 6067, 34345, 8882, 778, 7, 232, 2183, 18, 8215, 50223, 24255, 50245, 11, 8957, 4, 93, 21, 1304, 38, 21361, 237, 3488, 77, 400, 7509, 453, 9352, 10618, 50223, 128, 1854, 6202, 20636, 14108, 34345, 5, 34124, 7306, 400, 9, 6387, 4, 13, 210, 33613, 50223, 100, 32445, 465, 48, 22875, 6, 20657, 16, 28, 6067, 237, 1157, 5, 50223, 2247, 5, 3206, 7956, 165, 9, 20913, 19276, 6603, 29897, 2875, 17, 331, 14483, 7580, 4, 50223, 14155, 363, 274, 1913, 7, 42622, 237, 1157, 6, 7, 17341, 1692, 6, 3862, 9426, 50223, 1776, 209, 4063, 15, 356, 31112, 5, 50223, 2458, 5, 3206, 7956, 165, 9, 20913, 5013, 29897, 11890, 16851, 176, 7366, 45, 1493, 1496, 4, 27, 9980, 23, 50223, 53, 5861, 324, 9983, 22067, 15, 9115, 82, 1680, 5, 107, 94, 564, 332, 1973, 1157, 5, 268, 524, 37, 50223, 278, 38566, 928, 29897, 2875, 7, 11793, 4950, 8, 3331, 24843, 2, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 7, 50223, 56, 3368, 88, 3213, 6, 2183, 7, 20595, 60, 4089, 31667, 2682, 63, 8, 2185, 39808, 5, 50223, 234, 5, 12772, 50209, 5862, 239, 5, 15, 5, 17, 2682, 553, 6, 17, 2909, 6, 9689, 1085, 3833, 8, 4083, 50223, 52, 9761, 1197, 3333, 6, 737, 3333, 5, 50223, 1260, 5, 1504, 6067, 34345, 10, 7509, 165, 2933, 14009, 14040, 101, 816, 6, 28889, 319, 11317, 34345, 50223, 190, 2372, 4, 8, 7056, 54, 15779, 12, 46823, 7, 5747, 15595, 282, 4, 93, 9, 28444, 400, 50223, 52, 470, 29176, 660, 5, 159, 16484, 265, 10, 7509, 165, 2933, 22516, 29897, 11890, 50223, 100, 47701, 176, 7366, 45, 1493, 414, 4, 27, 1182, 49607, 14238, 27272, 23, 394, 16, 4697, 11255, 364, 45708, 60, 6396, 3991, 50223, 1776, 209, 481, 82, 17905, 11711, 5, 159, 265, 4, 93, 7509, 165, 6879, 1458, 7, 50223, 4767, 87, 51, 34345, 67, 30242, 237, 1157, 33, 303, 102, 15778, 4, 240, 28444, 50223, 1638, 135, 14119, 8, 2332, 12, 11179, 5, 1182, 23077, 24504, 6653, 497, 39808, 5, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 1182, 27, 30773, 289, 41348, 8, 4083, 50223, 52, 9761, 1197, 3333, 5, 1368, 7509, 165, 24863, 1458, 7, 9134, 51, 34345, 110, 7663, 50223, 147, 1402, 654, 13164, 2875, 4, 10, 2933, 28, 6067, 34345, 8882, 778, 7, 232, 2183, 18, 8215, 50223, 24255, 50245, 11, 8957, 4, 93, 21, 1304, 38, 21361, 237, 3488, 77, 400, 7509, 453, 9352, 10618, 50223, 128, 1854, 6202, 20636, 14108, 34345, 5, 34124, 7306, 400, 9, 6387, 4, 13, 210, 33613, 50223, 100, 32445, 465, 48, 22875, 6, 20657, 16, 28, 6067, 237, 1157, 5, 50223, 2247, 5, 3206, 7956, 165, 9, 20913, 19276, 6603, 29897, 2875, 17, 331, 14483, 7580, 4, 50223, 14155, 363, 274, 1913, 7, 42622, 237, 1157, 6, 7, 17341, 1692, 6, 3862, 9426, 50223, 1776, 209, 4063, 15, 356, 31112, 5, 50223, 2458, 5, 3206, 7956, 165, 9, 20913, 5013, 29897, 11890, 16851, 176, 7366, 45, 1493, 1496, 4, 27, 9980, 23, 50223, 53, 5861, 324, 9983, 22067, 15, 9115, 82, 1680, 5, 107, 94, 564, 332, 1973, 1157, 5, 268, 524, 37, 50223, 278, 38566, 928, 29897, 2875, 7, 11793, 4950, 8, 3331, 24843, 38943, 16851, 176, 50223, 379, 90, 194, 5, 50223, 1635, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 303, 15778, 237, 1157, 17559, 7509, 2042, 39308, 319, 1258, 50223, 17717, 1800, 14108, 34345, 7, 16851, 462, 14643, 45300, 5204, 5, 50223, 2342, 5, 3206, 7956, 165, 9, 8, 42766, 7, 9982, 5, 10903, 237, 1157, 20913, 303, 15778, 237, 1157, 50223, 6247, 702, 48419, 4, 7, 232, 2183, 6, 110, 19396, 7, 43, 11793, 77, 400, 29897, 2875, 4, 50223, 1873, 26903, 180, 13293, 29897, 2875, 6, 50209, 2800, 24744, 835, 1205, 9176, 16350, 631, 729, 7, 2098, 1323, 23485, 50223, 96, 7956, 453, 4, 6, 11, 23, 36878, 11139, 163, 2318, 50244, 50223, 71, 50191, 29897, 1672, 7625, 7509, 2042, 306, 740, 33506, 20363, 45, 2722, 50223, 100, 702, 22378, 3563, 29897, 4852, 39064, 2722, 6, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
[ 0, 82, 17905, 11711, 5, 159, 265, 4, 93, 7509, 165, 6879, 1458, 7, 50223, 4767, 87, 51, 34345, 67, 30242, 237, 1157, 33, 303, 102, 15778, 4, 240, 28444, 50223, 1638, 135, 14119, 8, 2332, 12, 11179, 5, 1182, 23077, 24504, 6653, 497, 39808, 5, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 1182, 27, 30773, 289, 41348, 8, 4083, 50223, 52, 9761, 1197, 3333, 5, 1368, 7509, 165, 24863, 1458, 7, 9134, 51, 34345, 110, 7663, 50223, 147, 1402, 654, 13164, 2875, 4, 10, 2933, 28, 6067, 34345, 8882, 778, 7, 232, 2183, 18, 8215, 50223, 24255, 50245, 11, 8957, 4, 93, 21, 1304, 38, 21361, 237, 3488, 77, 400, 7509, 453, 9352, 10618, 50223, 128, 1854, 6202, 20636, 14108, 34345, 5, 34124, 7306, 400, 9, 6387, 4, 13, 210, 33613, 50223, 100, 32445, 465, 48, 22875, 6, 20657, 16, 28, 6067, 237, 1157, 5, 50223, 2247, 5, 3206, 7956, 165, 9, 20913, 19276, 6603, 29897, 2875, 17, 331, 14483, 7580, 4, 50223, 14155, 363, 274, 1913, 7, 42622, 237, 1157, 6, 7, 17341, 1692, 6, 3862, 9426, 50223, 1776, 209, 4063, 15, 356, 31112, 5, 50223, 2458, 5, 3206, 7956, 165, 9, 20913, 5013, 29897, 11890, 16851, 176, 7366, 45, 1493, 1496, 4, 27, 9980, 23, 50223, 53, 5861, 324, 9983, 22067, 15, 9115, 82, 1680, 5, 107, 94, 564, 332, 1973, 1157, 5, 268, 524, 37, 50223, 278, 38566, 928, 29897, 2875, 7, 11793, 4950, 8, 3331, 24843, 38943, 16851, 176, 50223, 379, 90, 194, 5, 50223, 1635, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 303, 15778, 237, 1157, 17559, 7509, 2042, 39308, 319, 1258, 50223, 17717, 1800, 14108, 34345, 7, 16851, 462, 14643, 45300, 5204, 5, 50223, 2342, 5, 3206, 7956, 165, 9, 8, 42766, 7, 9982, 5, 10903, 237, 1157, 20913, 303, 15778, 237, 1157, 50223, 6247, 702, 48419, 4, 7, 232, 2183, 6, 110, 19396, 7, 43, 11793, 77, 400, 29897, 2875, 4, 50223, 1873, 26903, 180, 13293, 29897, 2875, 6, 50209, 2800, 24744, 835, 1205, 9176, 16350, 631, 729, 7, 2098, 1323, 23485, 50223, 96, 7956, 453, 4, 6, 11, 23, 36878, 11139, 163, 2318, 50244, 50223, 71, 50191, 29897, 1672, 7625, 7509, 2042, 306, 740, 33506, 20363, 45, 2722, 50223, 100, 702, 22378, 3563, 29897, 4852, 39064, 2722, 6, 15401, 46876, 4, 50223, 211, 50191, 3279, 6, 1112, 46876, 33564, 8, 2332, 12, 1294, 46488, 275, 1157, 10016, 50223, 96, 7956, 165, 28, 17075, 28503, 314, 29897, 2875, 5, 50223, 2621, 5, 3206, 7956, 165, 10, 2933, 7, 713, 3234, 29897, 2875, 19578, 9426, 3488, 50223, 31659, 1680, 5, 568, 332, 1973, 1157, 4, 427, 10, 2933, 29897, 11890, 14009, 50223, 45859, 470, 29561, 4537, 28809, 2526, 33564, 4, 5931, 10919, 7, 2098, 1323, 23485, 7509, 453, 5, 50223, 2267, 5, 3206, 7956, 165, 10, 2933, 38, 10384, 5792, 33564, 82, 1680, 5, 568, 332, 1973, 1157, 6509, 921, 50223, 22079, 29897, 2875, 5, 50223, 1250, 5, 159, 265, 18672, 1680, 5, 581, 6, 50209, 2800, 411, 332, 1973, 1157, 7509, 391, 10, 29897, 1672, 50223, 143, 6305, 2867, 14315, 4293, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
[ 0, 13, 210, 33613, 50223, 100, 32445, 465, 48, 22875, 6, 20657, 16, 28, 6067, 237, 1157, 5, 50223, 2247, 5, 3206, 7956, 165, 9, 20913, 19276, 6603, 29897, 2875, 17, 331, 14483, 7580, 4, 50223, 14155, 363, 274, 1913, 7, 42622, 237, 1157, 6, 7, 17341, 1692, 6, 3862, 9426, 50223, 1776, 209, 4063, 15, 356, 31112, 5, 50223, 2458, 5, 3206, 7956, 165, 9, 20913, 5013, 29897, 11890, 16851, 176, 7366, 45, 1493, 1496, 4, 27, 9980, 23, 50223, 53, 5861, 324, 9983, 22067, 15, 9115, 82, 1680, 5, 107, 94, 564, 332, 1973, 1157, 5, 268, 524, 37, 50223, 278, 38566, 928, 29897, 2875, 7, 11793, 4950, 8, 3331, 24843, 38943, 16851, 176, 50223, 379, 90, 194, 5, 50223, 1635, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 303, 15778, 237, 1157, 17559, 7509, 2042, 39308, 319, 1258, 50223, 17717, 1800, 14108, 34345, 7, 16851, 462, 14643, 45300, 5204, 5, 50223, 2342, 5, 3206, 7956, 165, 9, 8, 42766, 7, 9982, 5, 10903, 237, 1157, 20913, 303, 15778, 237, 1157, 50223, 6247, 702, 48419, 4, 7, 232, 2183, 6, 110, 19396, 7, 43, 11793, 77, 400, 29897, 2875, 4, 50223, 1873, 26903, 180, 13293, 29897, 2875, 6, 50209, 2800, 24744, 835, 1205, 9176, 16350, 631, 729, 7, 2098, 1323, 23485, 50223, 96, 7956, 453, 4, 6, 11, 23, 36878, 11139, 163, 2318, 50244, 50223, 71, 50191, 29897, 1672, 7625, 7509, 2042, 306, 740, 33506, 20363, 45, 2722, 50223, 100, 702, 22378, 3563, 29897, 4852, 39064, 2722, 6, 15401, 46876, 4, 50223, 211, 50191, 3279, 6, 1112, 46876, 33564, 8, 2332, 12, 1294, 46488, 275, 1157, 10016, 50223, 96, 7956, 165, 28, 17075, 28503, 314, 29897, 2875, 5, 50223, 2621, 5, 3206, 7956, 165, 10, 2933, 7, 713, 3234, 29897, 2875, 19578, 9426, 3488, 50223, 31659, 1680, 5, 568, 332, 1973, 1157, 4, 427, 10, 2933, 29897, 11890, 14009, 50223, 45859, 470, 29561, 4537, 28809, 2526, 33564, 4, 5931, 10919, 7, 2098, 1323, 23485, 7509, 453, 5, 50223, 2267, 5, 3206, 7956, 165, 10, 2933, 38, 10384, 5792, 33564, 82, 1680, 5, 568, 332, 1973, 1157, 6509, 921, 50223, 22079, 29897, 2875, 5, 50223, 1250, 5, 159, 265, 18672, 1680, 5, 581, 6, 50209, 2800, 411, 332, 1973, 1157, 7509, 391, 10, 29897, 1672, 50223, 143, 6305, 2867, 14315, 4293, 12, 7741, 33564, 7509, 391, 4, 1396, 5, 12, 3150, 6, 932, 50223, 1873, 26903, 2936, 33564, 33, 2937, 12274, 29, 237, 1157, 5, 225, 1402, 654, 13164, 1672, 10, 838, 50223, 143, 6305, 2867, 12274, 29, 237, 1157, 8, 265, 46876, 33564, 45, 2722, 6, 932, 110, 50223, 4767, 4753, 3608, 7663, 29897, 2875, 5, 50223, 1046, 158, 5, 37995, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 115, 9223, 16751, 237, 1157, 7646, 15372, 41590, 17, 14523, 87, 508, 5, 2466, 253, 50209, 1508, 3410, 77, 864, 50223, 1105, 5, 16827, 5, 39860, 4, 95, 124, 7671, 3317, 5, 16935, 5, 292, 3100, 8, 2185, 11179, 5, 1182, 23077, 24504, 7490, 444, 1680, 5, 119, 39808, 5, 508, 2, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 9, 20913, 303, 15778, 237, 1157, 17559, 7509, 2042, 39308, 319, 1258, 50223, 17717, 1800, 14108, 34345, 7, 16851, 462, 14643, 45300, 5204, 5, 50223, 2342, 5, 3206, 7956, 165, 9, 8, 42766, 7, 9982, 5, 10903, 237, 1157, 20913, 303, 15778, 237, 1157, 50223, 6247, 702, 48419, 4, 7, 232, 2183, 6, 110, 19396, 7, 43, 11793, 77, 400, 29897, 2875, 4, 50223, 1873, 26903, 180, 13293, 29897, 2875, 6, 50209, 2800, 24744, 835, 1205, 9176, 16350, 631, 729, 7, 2098, 1323, 23485, 50223, 96, 7956, 453, 4, 6, 11, 23, 36878, 11139, 163, 2318, 50244, 50223, 71, 50191, 29897, 1672, 7625, 7509, 2042, 306, 740, 33506, 20363, 45, 2722, 50223, 100, 702, 22378, 3563, 29897, 4852, 39064, 2722, 6, 15401, 46876, 4, 50223, 211, 50191, 3279, 6, 1112, 46876, 33564, 8, 2332, 12, 1294, 46488, 275, 1157, 10016, 50223, 96, 7956, 165, 28, 17075, 28503, 314, 29897, 2875, 5, 50223, 2621, 5, 3206, 7956, 165, 10, 2933, 7, 713, 3234, 29897, 2875, 19578, 9426, 3488, 50223, 31659, 1680, 5, 568, 332, 1973, 1157, 4, 427, 10, 2933, 29897, 11890, 14009, 50223, 45859, 470, 29561, 4537, 28809, 2526, 33564, 4, 5931, 10919, 7, 2098, 1323, 23485, 7509, 453, 5, 50223, 2267, 5, 3206, 7956, 165, 10, 2933, 38, 10384, 5792, 33564, 82, 1680, 5, 568, 332, 1973, 1157, 6509, 921, 50223, 22079, 29897, 2875, 5, 50223, 1250, 5, 159, 265, 18672, 1680, 5, 581, 6, 50209, 2800, 411, 332, 1973, 1157, 7509, 391, 10, 29897, 1672, 50223, 143, 6305, 2867, 14315, 4293, 12, 7741, 33564, 7509, 391, 4, 1396, 5, 12, 3150, 6, 932, 50223, 1873, 26903, 2936, 33564, 33, 2937, 12274, 29, 237, 1157, 5, 225, 1402, 654, 13164, 1672, 10, 838, 50223, 143, 6305, 2867, 12274, 29, 237, 1157, 8, 265, 46876, 33564, 45, 2722, 6, 932, 110, 50223, 4767, 4753, 3608, 7663, 29897, 2875, 5, 50223, 1046, 158, 5, 37995, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 115, 9223, 16751, 237, 1157, 7646, 15372, 41590, 17, 14523, 87, 508, 5, 2466, 253, 50209, 1508, 3410, 77, 864, 50223, 1105, 5, 16827, 5, 39860, 4, 95, 124, 7671, 3317, 5, 16935, 5, 292, 3100, 8, 2185, 11179, 5, 1182, 23077, 24504, 7490, 444, 1680, 5, 119, 39808, 5, 508, 5, 857, 50209, 1250, 5307, 50223, 155, 211, 5, 28913, 19088, 8, 4083, 6284, 3333, 4140, 406, 4, 6, 11, 2929, 7, 50223, 23018, 450, 4, 13, 7509, 165, 8084, 583, 11317, 34345, 16, 28, 6067, 5551, 9210, 2193, 34345, 50223, 71, 29897, 1672, 703, 3210, 7, 1043, 1306, 7, 59, 14040, 15846, 5, 50223, 196, 5, 268, 19883, 3305, 10, 434, 5455, 188, 3150, 8380, 163, 11175, 269, 4, 39, 240, 11507, 50223, 52, 11396, 8860, 5959, 237, 1157, 50245, 171, 37, 10, 38566, 24703, 9982, 5, 15776, 1680, 5, 429, 237, 50223, 100, 32445, 465, 5, 50223, 259, 5, 12256, 5885, 10, 8868, 406, 8, 1020, 8868, 7341, 4, 808, 7509, 165, 2022, 522, 50223, 465, 42458, 282, 6, 29897, 1672, 535, 8868, 449, 237, 1157, 5, 50223, 328, 5, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 6, 1112, 46876, 33564, 8, 2332, 12, 1294, 46488, 275, 1157, 10016, 50223, 96, 7956, 165, 28, 17075, 28503, 314, 29897, 2875, 5, 50223, 2621, 5, 3206, 7956, 165, 10, 2933, 7, 713, 3234, 29897, 2875, 19578, 9426, 3488, 50223, 31659, 1680, 5, 568, 332, 1973, 1157, 4, 427, 10, 2933, 29897, 11890, 14009, 50223, 45859, 470, 29561, 4537, 28809, 2526, 33564, 4, 5931, 10919, 7, 2098, 1323, 23485, 7509, 453, 5, 50223, 2267, 5, 3206, 7956, 165, 10, 2933, 38, 10384, 5792, 33564, 82, 1680, 5, 568, 332, 1973, 1157, 6509, 921, 50223, 22079, 29897, 2875, 5, 50223, 1250, 5, 159, 265, 18672, 1680, 5, 581, 6, 50209, 2800, 411, 332, 1973, 1157, 7509, 391, 10, 29897, 1672, 50223, 143, 6305, 2867, 14315, 4293, 12, 7741, 33564, 7509, 391, 4, 1396, 5, 12, 3150, 6, 932, 50223, 1873, 26903, 2936, 33564, 33, 2937, 12274, 29, 237, 1157, 5, 225, 1402, 654, 13164, 1672, 10, 838, 50223, 143, 6305, 2867, 12274, 29, 237, 1157, 8, 265, 46876, 33564, 45, 2722, 6, 932, 110, 50223, 4767, 4753, 3608, 7663, 29897, 2875, 5, 50223, 1046, 158, 5, 37995, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 115, 9223, 16751, 237, 1157, 7646, 15372, 41590, 17, 14523, 87, 508, 5, 2466, 253, 50209, 1508, 3410, 77, 864, 50223, 1105, 5, 16827, 5, 39860, 4, 95, 124, 7671, 3317, 5, 16935, 5, 292, 3100, 8, 2185, 11179, 5, 1182, 23077, 24504, 7490, 444, 1680, 5, 119, 39808, 5, 508, 5, 857, 50209, 1250, 5307, 50223, 155, 211, 5, 28913, 19088, 8, 4083, 6284, 3333, 4140, 406, 4, 6, 11, 2929, 7, 50223, 23018, 450, 4, 13, 7509, 165, 8084, 583, 11317, 34345, 16, 28, 6067, 5551, 9210, 2193, 34345, 50223, 71, 29897, 1672, 703, 3210, 7, 1043, 1306, 7, 59, 14040, 15846, 5, 50223, 196, 5, 268, 19883, 3305, 10, 434, 5455, 188, 3150, 8380, 163, 11175, 269, 4, 39, 240, 11507, 50223, 52, 11396, 8860, 5959, 237, 1157, 50245, 171, 37, 10, 38566, 24703, 9982, 5, 15776, 1680, 5, 429, 237, 50223, 100, 32445, 465, 5, 50223, 259, 5, 12256, 5885, 10, 8868, 406, 8, 1020, 8868, 7341, 4, 808, 7509, 165, 2022, 522, 50223, 465, 42458, 282, 6, 29897, 1672, 535, 8868, 449, 237, 1157, 5, 50223, 328, 5, 12256, 5885, 23328, 10674, 881, 5277, 8345, 8, 18066, 6738, 161, 16590, 9577, 9225, 673, 50223, 8624, 82, 11179, 5, 1182, 23077, 24504, 229, 71, 638, 508, 5, 704, 253, 50209, 23592, 239, 5, 15, 5, 17, 46483, 24047, 30, 20196, 6, 17, 50223, 100, 8834, 6, 9689, 1085, 3833, 1182, 50189, 1297, 1282, 17, 12216, 1255, 50191, 8, 4083, 6284, 50223, 4767, 34382, 5, 50223, 266, 5, 12256, 5885, 26545, 15372, 7671, 102, 28095, 17258, 16851, 462, 14643, 50223, 71, 8618, 7671, 3317, 5, 9452, 5, 292, 2659, 5, 159, 265, 4, 93, 8433, 30, 102, 5277, 8345, 8, 2332, 12, 1680, 5, 207, 50223, 132, 205, 132, 1973, 1157, 8, 9128, 364, 82, 17905, 11711, 33, 28, 316, 36579, 87, 4, 50223, 100, 32445, 177, 26545, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 7509, 391, 4, 1396, 5, 12, 3150, 6, 932, 50223, 1873, 26903, 2936, 33564, 33, 2937, 12274, 29, 237, 1157, 5, 225, 1402, 654, 13164, 1672, 10, 838, 50223, 143, 6305, 2867, 12274, 29, 237, 1157, 8, 265, 46876, 33564, 45, 2722, 6, 932, 110, 50223, 4767, 4753, 3608, 7663, 29897, 2875, 5, 50223, 1046, 158, 5, 37995, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 115, 9223, 16751, 237, 1157, 7646, 15372, 41590, 17, 14523, 87, 508, 5, 2466, 253, 50209, 1508, 3410, 77, 864, 50223, 1105, 5, 16827, 5, 39860, 4, 95, 124, 7671, 3317, 5, 16935, 5, 292, 3100, 8, 2185, 11179, 5, 1182, 23077, 24504, 7490, 444, 1680, 5, 119, 39808, 5, 508, 5, 857, 50209, 1250, 5307, 50223, 155, 211, 5, 28913, 19088, 8, 4083, 6284, 3333, 4140, 406, 4, 6, 11, 2929, 7, 50223, 23018, 450, 4, 13, 7509, 165, 8084, 583, 11317, 34345, 16, 28, 6067, 5551, 9210, 2193, 34345, 50223, 71, 29897, 1672, 703, 3210, 7, 1043, 1306, 7, 59, 14040, 15846, 5, 50223, 196, 5, 268, 19883, 3305, 10, 434, 5455, 188, 3150, 8380, 163, 11175, 269, 4, 39, 240, 11507, 50223, 52, 11396, 8860, 5959, 237, 1157, 50245, 171, 37, 10, 38566, 24703, 9982, 5, 15776, 1680, 5, 429, 237, 50223, 100, 32445, 465, 5, 50223, 259, 5, 12256, 5885, 10, 8868, 406, 8, 1020, 8868, 7341, 4, 808, 7509, 165, 2022, 522, 50223, 465, 42458, 282, 6, 29897, 1672, 535, 8868, 449, 237, 1157, 5, 50223, 328, 5, 12256, 5885, 23328, 10674, 881, 5277, 8345, 8, 18066, 6738, 161, 16590, 9577, 9225, 673, 50223, 8624, 82, 11179, 5, 1182, 23077, 24504, 229, 71, 638, 508, 5, 704, 253, 50209, 23592, 239, 5, 15, 5, 17, 46483, 24047, 30, 20196, 6, 17, 50223, 100, 8834, 6, 9689, 1085, 3833, 1182, 50189, 1297, 1282, 17, 12216, 1255, 50191, 8, 4083, 6284, 50223, 4767, 34382, 5, 50223, 266, 5, 12256, 5885, 26545, 15372, 7671, 102, 28095, 17258, 16851, 462, 14643, 50223, 71, 8618, 7671, 3317, 5, 9452, 5, 292, 2659, 5, 159, 265, 4, 93, 8433, 30, 102, 5277, 8345, 8, 2332, 12, 1680, 5, 207, 50223, 132, 205, 132, 1973, 1157, 8, 9128, 364, 82, 17905, 11711, 33, 28, 316, 36579, 87, 4, 50223, 100, 32445, 177, 26545, 8618, 7671, 16774, 3398, 28, 1090, 102, 17860, 8, 18066, 6738, 161, 50223, 28463, 238, 9577, 9225, 673, 869, 926, 5, 50223, 444, 5, 3922, 15151, 50244, 50223, 2893, 11606, 508, 5, 107, 1182, 48870, 25877, 3023, 6506, 2464, 2321, 50223, 32, 3701, 4, 864, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 159, 3701, 4, 864, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 367, 7509, 453, 50244, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 28913, 19088, 8, 4083, 6284, 3333, 4140, 406, 4, 6, 11, 2929, 7, 50223, 23018, 450, 4, 13, 7509, 165, 8084, 583, 11317, 34345, 16, 28, 6067, 5551, 9210, 2193, 34345, 50223, 71, 29897, 1672, 703, 3210, 7, 1043, 1306, 7, 59, 14040, 15846, 5, 50223, 196, 5, 268, 19883, 3305, 10, 434, 5455, 188, 3150, 8380, 163, 11175, 269, 4, 39, 240, 11507, 50223, 52, 11396, 8860, 5959, 237, 1157, 50245, 171, 37, 10, 38566, 24703, 9982, 5, 15776, 1680, 5, 429, 237, 50223, 100, 32445, 465, 5, 50223, 259, 5, 12256, 5885, 10, 8868, 406, 8, 1020, 8868, 7341, 4, 808, 7509, 165, 2022, 522, 50223, 465, 42458, 282, 6, 29897, 1672, 535, 8868, 449, 237, 1157, 5, 50223, 328, 5, 12256, 5885, 23328, 10674, 881, 5277, 8345, 8, 18066, 6738, 161, 16590, 9577, 9225, 673, 50223, 8624, 82, 11179, 5, 1182, 23077, 24504, 229, 71, 638, 508, 5, 704, 253, 50209, 23592, 239, 5, 15, 5, 17, 46483, 24047, 30, 20196, 6, 17, 50223, 100, 8834, 6, 9689, 1085, 3833, 1182, 50189, 1297, 1282, 17, 12216, 1255, 50191, 8, 4083, 6284, 50223, 4767, 34382, 5, 50223, 266, 5, 12256, 5885, 26545, 15372, 7671, 102, 28095, 17258, 16851, 462, 14643, 50223, 71, 8618, 7671, 3317, 5, 9452, 5, 292, 2659, 5, 159, 265, 4, 93, 8433, 30, 102, 5277, 8345, 8, 2332, 12, 1680, 5, 207, 50223, 132, 205, 132, 1973, 1157, 8, 9128, 364, 82, 17905, 11711, 33, 28, 316, 36579, 87, 4, 50223, 100, 32445, 177, 26545, 8618, 7671, 16774, 3398, 28, 1090, 102, 17860, 8, 18066, 6738, 161, 50223, 28463, 238, 9577, 9225, 673, 869, 926, 5, 50223, 444, 5, 3922, 15151, 50244, 50223, 2893, 11606, 508, 5, 107, 1182, 48870, 25877, 3023, 6506, 2464, 2321, 50223, 32, 3701, 4, 864, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 159, 3701, 4, 864, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 367, 7509, 453, 50244, 1050, 29897, 2875, 50244, 50223, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 500, 474, 6824, 5, 2380, 4613, 606, 11806, 5, 16770, 5, 5749, 18173, 78, 4, 19198, 5, 50223, 9315, 1672, 14640, 8119, 71, 12, 5, 199, 5, 143, 5, 33848, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 5277, 8345, 8, 18066, 6738, 161, 16590, 9577, 9225, 673, 50223, 8624, 82, 11179, 5, 1182, 23077, 24504, 229, 71, 638, 508, 5, 704, 253, 50209, 23592, 239, 5, 15, 5, 17, 46483, 24047, 30, 20196, 6, 17, 50223, 100, 8834, 6, 9689, 1085, 3833, 1182, 50189, 1297, 1282, 17, 12216, 1255, 50191, 8, 4083, 6284, 50223, 4767, 34382, 5, 50223, 266, 5, 12256, 5885, 26545, 15372, 7671, 102, 28095, 17258, 16851, 462, 14643, 50223, 71, 8618, 7671, 3317, 5, 9452, 5, 292, 2659, 5, 159, 265, 4, 93, 8433, 30, 102, 5277, 8345, 8, 2332, 12, 1680, 5, 207, 50223, 132, 205, 132, 1973, 1157, 8, 9128, 364, 82, 17905, 11711, 33, 28, 316, 36579, 87, 4, 50223, 100, 32445, 177, 26545, 8618, 7671, 16774, 3398, 28, 1090, 102, 17860, 8, 18066, 6738, 161, 50223, 28463, 238, 9577, 9225, 673, 869, 926, 5, 50223, 444, 5, 3922, 15151, 50244, 50223, 2893, 11606, 508, 5, 107, 1182, 48870, 25877, 3023, 6506, 2464, 2321, 50223, 32, 3701, 4, 864, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 159, 3701, 4, 864, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 367, 7509, 453, 50244, 1050, 29897, 2875, 50244, 50223, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 500, 474, 6824, 5, 2380, 4613, 606, 11806, 5, 16770, 5, 5749, 18173, 78, 4, 19198, 5, 50223, 9315, 1672, 14640, 8119, 71, 12, 5, 199, 5, 143, 5, 33848, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 1090, 102, 17860, 8, 18066, 6738, 161, 50223, 28463, 238, 9577, 9225, 673, 869, 926, 5, 50223, 444, 5, 3922, 15151, 50244, 50223, 2893, 11606, 508, 5, 107, 1182, 48870, 25877, 3023, 6506, 2464, 2321, 50223, 32, 3701, 4, 864, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 159, 3701, 4, 864, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 367, 7509, 453, 50244, 1050, 29897, 2875, 50244, 50223, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 500, 474, 6824, 5, 2380, 4613, 606, 11806, 5, 16770, 5, 5749, 18173, 78, 4, 19198, 5, 50223, 9315, 1672, 14640, 8119, 71, 12, 5, 199, 5, 143, 5, 33848, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 44, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 500, 474, 6824, 5, 2380, 4613, 606, 11806, 5, 16770, 5, 5749, 18173, 78, 4, 19198, 5, 50223, 9315, 1672, 14640, 8119, 71, 12, 5, 199, 5, 143, 5, 33848, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 107, 50223, 1182, 3206, 7956, 96, 5885, 800, 14963, 828, 612, 1182, 1182, 1182, 50223, 50189, 32092, 36, 1182, 48870, 25177, 1182, 41590, 1182, 1182, 48870, 19594, 50191, 1865, 361, 3172, 406, 82, 1182, 23077, 24504, 43453, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 30773, 289, 41348, 8, 4083, 6284, 8722, 50223, 4767, 34382, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1182, 30773, 289, 41348, 1182, 1182, 48870, 19594, 50191, 8, 10671, 60, 3931, 508, 5, 31580, 50209, 29608, 10833, 5, 17, 14523, 87, 50223, 71, 108, 96, 8842, 15086, 3731, 5352, 8, 4083, 6284, 3333, 6, 8, 2332, 60, 3931, 50223, 234, 5, 2627, 612, 50209, 29608, 10833, 5, 17, 37837, 30797, 8, 4083, 6284, 3333, 6, 3931, 40498, 50209, 34836, 10833, 5, 50223, 143, 2856, 2729, 8, 4083, 6284, 8722, 3333, 50223, 1865, 361, 3172, 406, 146, 6117, 16851, 462, 14643, 50244, 50223, 225, 1402, 654, 13164, 1672, 50244, 212, 658, 1182, 48870, 25877, 9730, 1051, 8840, 10202, 1182, 1182, 50223, 34112, 3288, 50244, 36235, 709, 7429, 119, 4, 563, 2137, 3317, 2629, 4, 3585, 5082, 50223, 272, 24069, 50244, 3538, 1961, 259, 539, 4487, 115, 15563, 50244, 292, 196, 3390, 497, 207, 3410, 444, 50223, 367, 15198, 816, 50244, 26033, 3459, 30745, 6476, 30004, 26033, 8035, 15233, 869, 50223, 170, 21605, 81, 50223, 48573, 194, 4386, 135, 6779, 50244, 315, 8049, 5, 5176, 5, 1086, 24003, 4, 34461, 6686, 1343, 32768, 40502, 9044, 50223, 12959, 128, 5, 5668, 50244, 33978, 3566, 558, 6, 5, 56, 5, 50223, 27418, 2477, 50244, 3218, 8065, 6026, 668, 2985, 668, 2985, 3192, 292, 13249, 2418, 196, 50223, 50189, 32092, 16, 19, 1182, 50244, 1182, 48870, 25177, 1182, 225, 1402, 654, 13164, 1672, 1182, 1182, 48870, 19594, 50191, 50223, 6, 1182, 1182, 50223, 3206, 7956, 165, 50244, 15078, 9850, 19340, 4394, 2564, 40582, 1970, 1182, 1182, 1182, 50223, 130, 1182, 21444, 3288, 50244, 11891, 5, 9184, 3538, 4, 563, 2137, 564, 2629, 1182, 27, 6456, 4, 3585, 5082, 18188, 50244, 1915, 229, 4463, 1915, 328, 50223, 182, 15563, 50244, 292, 196, 568, 253, 3680, 11297, 50223, 48573, 194, 4386, 135, 6779, 50244, 5176, 5, 4098, 212, 309, 359, 4, 19198, 551, 1858, 50223, 378, 27, 4094, 50244, 50223, 50189, 32092, 16, 19, 50244, 1182, 1182, 48870, 25177, 1514, 7956, 165, 48870, 19594, 1182, 1182, 50191, 1182, 50189, 30989, 544, 36, 1182, 48870, 25177, 1182, 34124, 7306, 400, 1182, 1182, 48870, 19594, 50191, 50223, 186, 5, 4458, 6666, 34345, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 38246, 6967, 159, 524, 231, 624, 2445, 21858, 4, 459, 18874, 2445, 21858, 4, 563, 2137, 564, 2629, 50223, 290, 2245, 38975, 7, 44748, 508, 5, 727, 8291, 4, 31, 2186, 73, 1253, 4574, 207, 2278, 4, 7, 826, 35090, 1253, 800, 497, 4, 3791, 4574, 50244, 50223, 702, 46602, 5020, 286, 9547, 508, 5, 564, 5965, 1182, 50189, 32092, 16, 19, 1182, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 3931, 40498, 50209, 34836, 10833, 5, 50223, 143, 2856, 2729, 8, 4083, 6284, 8722, 3333, 50223, 1865, 361, 3172, 406, 146, 6117, 16851, 462, 14643, 50244, 50223, 225, 1402, 654, 13164, 1672, 50244, 212, 658, 1182, 48870, 25877, 9730, 1051, 8840, 10202, 1182, 1182, 50223, 34112, 3288, 50244, 36235, 709, 7429, 119, 4, 563, 2137, 3317, 2629, 4, 3585, 5082, 50223, 272, 24069, 50244, 3538, 1961, 259, 539, 4487, 115, 15563, 50244, 292, 196, 3390, 497, 207, 3410, 444, 50223, 367, 15198, 816, 50244, 26033, 3459, 30745, 6476, 30004, 26033, 8035, 15233, 869, 50223, 170, 21605, 81, 50223, 48573, 194, 4386, 135, 6779, 50244, 315, 8049, 5, 5176, 5, 1086, 24003, 4, 34461, 6686, 1343, 32768, 40502, 9044, 50223, 12959, 128, 5, 5668, 50244, 33978, 3566, 558, 6, 5, 56, 5, 50223, 27418, 2477, 50244, 3218, 8065, 6026, 668, 2985, 668, 2985, 3192, 292, 13249, 2418, 196, 50223, 50189, 32092, 16, 19, 1182, 50244, 1182, 48870, 25177, 1182, 225, 1402, 654, 13164, 1672, 1182, 1182, 48870, 19594, 50191, 50223, 6, 1182, 1182, 50223, 3206, 7956, 165, 50244, 15078, 9850, 19340, 4394, 2564, 40582, 1970, 1182, 1182, 1182, 50223, 130, 1182, 21444, 3288, 50244, 11891, 5, 9184, 3538, 4, 563, 2137, 564, 2629, 1182, 27, 6456, 4, 3585, 5082, 18188, 50244, 1915, 229, 4463, 1915, 328, 50223, 182, 15563, 50244, 292, 196, 568, 253, 3680, 11297, 50223, 48573, 194, 4386, 135, 6779, 50244, 5176, 5, 4098, 212, 309, 359, 4, 19198, 551, 1858, 50223, 378, 27, 4094, 50244, 50223, 50189, 32092, 16, 19, 50244, 1182, 1182, 48870, 25177, 1514, 7956, 165, 48870, 19594, 1182, 1182, 50191, 1182, 50189, 30989, 544, 36, 1182, 48870, 25177, 1182, 34124, 7306, 400, 1182, 1182, 48870, 19594, 50191, 50223, 186, 5, 4458, 6666, 34345, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 38246, 6967, 159, 524, 231, 624, 2445, 21858, 4, 459, 18874, 2445, 21858, 4, 563, 2137, 564, 2629, 50223, 290, 2245, 38975, 7, 44748, 508, 5, 727, 8291, 4, 31, 2186, 73, 1253, 4574, 207, 2278, 4, 7, 826, 35090, 1253, 800, 497, 4, 3791, 4574, 50244, 50223, 702, 46602, 5020, 286, 9547, 508, 5, 564, 5965, 1182, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 1108, 6666, 34345, 48870, 19594, 1182, 1182, 50191, 4, 95, 10, 45, 27023, 1953, 50223, 34908, 22599, 25235, 2629, 4, 11891, 5, 9184, 3811, 50209, 46, 4, 563, 2137, 564, 2629, 1182, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 13758, 624, 1182, 1182, 48870, 19594, 50191, 5, 225, 1402, 654, 13164, 1672, 50223, 1465, 21737, 508, 5, 1981, 668, 4463, 196, 17, 4631, 423, 2856, 607, 18, 1173, 23000, 2867, 8, 1617, 50223, 2348, 34915, 34465, 38048, 1100, 6, 784, 23, 458, 306, 6296, 19620, 10952, 219, 15357, 83, 1730, 73, 50223, 401, 5783, 13845, 60, 4631, 1901, 17990, 5, 50223, 196, 5, 4458, 87, 455, 34345, 10, 159, 524, 231, 624, 2445, 21858, 4, 459, 18874, 2445, 21858, 4, 563, 2137, 564, 2629, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 558, 6, 5, 56, 5, 50223, 27418, 2477, 50244, 3218, 8065, 6026, 668, 2985, 668, 2985, 3192, 292, 13249, 2418, 196, 50223, 50189, 32092, 16, 19, 1182, 50244, 1182, 48870, 25177, 1182, 225, 1402, 654, 13164, 1672, 1182, 1182, 48870, 19594, 50191, 50223, 6, 1182, 1182, 50223, 3206, 7956, 165, 50244, 15078, 9850, 19340, 4394, 2564, 40582, 1970, 1182, 1182, 1182, 50223, 130, 1182, 21444, 3288, 50244, 11891, 5, 9184, 3538, 4, 563, 2137, 564, 2629, 1182, 27, 6456, 4, 3585, 5082, 18188, 50244, 1915, 229, 4463, 1915, 328, 50223, 182, 15563, 50244, 292, 196, 568, 253, 3680, 11297, 50223, 48573, 194, 4386, 135, 6779, 50244, 5176, 5, 4098, 212, 309, 359, 4, 19198, 551, 1858, 50223, 378, 27, 4094, 50244, 50223, 50189, 32092, 16, 19, 50244, 1182, 1182, 48870, 25177, 1514, 7956, 165, 48870, 19594, 1182, 1182, 50191, 1182, 50189, 30989, 544, 36, 1182, 48870, 25177, 1182, 34124, 7306, 400, 1182, 1182, 48870, 19594, 50191, 50223, 186, 5, 4458, 6666, 34345, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 38246, 6967, 159, 524, 231, 624, 2445, 21858, 4, 459, 18874, 2445, 21858, 4, 563, 2137, 564, 2629, 50223, 290, 2245, 38975, 7, 44748, 508, 5, 727, 8291, 4, 31, 2186, 73, 1253, 4574, 207, 2278, 4, 7, 826, 35090, 1253, 800, 497, 4, 3791, 4574, 50244, 50223, 702, 46602, 5020, 286, 9547, 508, 5, 564, 5965, 1182, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 1108, 6666, 34345, 48870, 19594, 1182, 1182, 50191, 4, 95, 10, 45, 27023, 1953, 50223, 34908, 22599, 25235, 2629, 4, 11891, 5, 9184, 3811, 50209, 46, 4, 563, 2137, 564, 2629, 1182, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 13758, 624, 1182, 1182, 48870, 19594, 50191, 5, 225, 1402, 654, 13164, 1672, 50223, 1465, 21737, 508, 5, 1981, 668, 4463, 196, 17, 4631, 423, 2856, 607, 18, 1173, 23000, 2867, 8, 1617, 50223, 2348, 34915, 34465, 38048, 1100, 6, 784, 23, 458, 306, 6296, 19620, 10952, 219, 15357, 83, 1730, 73, 50223, 401, 5783, 13845, 60, 4631, 1901, 17990, 5, 50223, 196, 5, 4458, 87, 455, 34345, 10, 159, 524, 231, 624, 2445, 21858, 4, 459, 18874, 2445, 21858, 4, 563, 2137, 564, 2629, 4, 47, 225, 1402, 654, 13164, 1672, 50223, 147, 1402, 654, 13164, 3206, 7956, 2042, 1182, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 1108, 6666, 34345, 48870, 19594, 1182, 1182, 50191, 23, 544, 5630, 2318, 5, 50223, 2038, 5, 1584, 21854, 34345, 1182, 1182, 50223, 42279, 68, 237, 25312, 10, 17998, 133, 541, 4458, 87, 194, 34345, 3206, 7956, 2042, 7912, 23, 5198, 2499, 50223, 379, 428, 250, 7193, 5868, 153, 11625, 290, 19340, 4394, 1182, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 24561, 48870, 19594, 1182, 1182, 50191, 4, 39, 9, 3867, 50223, 201, 692, 580, 5, 10582, 5, 1508, 2659, 8, 628, 29, 411, 50244, 668, 1502, 5, 18, 292, 50244, 668, 1502, 5, 50223, 7085, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 16, 19, 50244, 1182, 1182, 48870, 25177, 1514, 7956, 165, 48870, 19594, 1182, 1182, 50191, 1182, 50189, 30989, 544, 36, 1182, 48870, 25177, 1182, 34124, 7306, 400, 1182, 1182, 48870, 19594, 50191, 50223, 186, 5, 4458, 6666, 34345, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 38246, 6967, 159, 524, 231, 624, 2445, 21858, 4, 459, 18874, 2445, 21858, 4, 563, 2137, 564, 2629, 50223, 290, 2245, 38975, 7, 44748, 508, 5, 727, 8291, 4, 31, 2186, 73, 1253, 4574, 207, 2278, 4, 7, 826, 35090, 1253, 800, 497, 4, 3791, 4574, 50244, 50223, 702, 46602, 5020, 286, 9547, 508, 5, 564, 5965, 1182, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 1108, 6666, 34345, 48870, 19594, 1182, 1182, 50191, 4, 95, 10, 45, 27023, 1953, 50223, 34908, 22599, 25235, 2629, 4, 11891, 5, 9184, 3811, 50209, 46, 4, 563, 2137, 564, 2629, 1182, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 13758, 624, 1182, 1182, 48870, 19594, 50191, 5, 225, 1402, 654, 13164, 1672, 50223, 1465, 21737, 508, 5, 1981, 668, 4463, 196, 17, 4631, 423, 2856, 607, 18, 1173, 23000, 2867, 8, 1617, 50223, 2348, 34915, 34465, 38048, 1100, 6, 784, 23, 458, 306, 6296, 19620, 10952, 219, 15357, 83, 1730, 73, 50223, 401, 5783, 13845, 60, 4631, 1901, 17990, 5, 50223, 196, 5, 4458, 87, 455, 34345, 10, 159, 524, 231, 624, 2445, 21858, 4, 459, 18874, 2445, 21858, 4, 563, 2137, 564, 2629, 4, 47, 225, 1402, 654, 13164, 1672, 50223, 147, 1402, 654, 13164, 3206, 7956, 2042, 1182, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 1108, 6666, 34345, 48870, 19594, 1182, 1182, 50191, 23, 544, 5630, 2318, 5, 50223, 2038, 5, 1584, 21854, 34345, 1182, 1182, 50223, 42279, 68, 237, 25312, 10, 17998, 133, 541, 4458, 87, 194, 34345, 3206, 7956, 2042, 7912, 23, 5198, 2499, 50223, 379, 428, 250, 7193, 5868, 153, 11625, 290, 19340, 4394, 1182, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 24561, 48870, 19594, 1182, 1182, 50191, 4, 39, 9, 3867, 50223, 201, 692, 580, 5, 10582, 5, 1508, 2659, 8, 628, 29, 411, 50244, 668, 1502, 5, 18, 292, 50244, 668, 1502, 5, 50223, 7085, 5, 4280, 71, 34345, 1182, 1182, 50223, 39919, 9, 11708, 7, 1785, 13907, 4, 6, 11, 3323, 864, 50244, 580, 5, 10582, 5, 1508, 2659, 29, 411, 50244, 668, 1502, 5, 18, 50244, 580, 5, 10582, 5, 1508, 2659, 4, 50223, 1508, 50244, 668, 1502, 551, 649, 5, 15, 5, 119, 1685, 8, 107, 364, 8, 8141, 50209, 5865, 3369, 5, 50223, 196, 50223, 10903, 5, 3023, 1363, 4, 16795, 450, 6, 1112, 41562, 34345, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 9, 20913, 5013, 225, 1402, 654, 13164, 11890, 34543, 45, 1493, 1182, 1280, 4, 27, 1182, 49607, 14238, 27272, 1182, 1182, 50189, 7319, 68, 1182, 4655, 34742, 1182, 1182, 50223, 6353, 50191, 23, 1884, 1785, 34345, 1182, 50189, 32092, 16, 19, 50244, 1182, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 1182, 50191, 4, 95, 10, 45, 27023, 1953, 50223, 34908, 22599, 25235, 2629, 4, 11891, 5, 9184, 3811, 50209, 46, 4, 563, 2137, 564, 2629, 1182, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 13758, 624, 1182, 1182, 48870, 19594, 50191, 5, 225, 1402, 654, 13164, 1672, 50223, 1465, 21737, 508, 5, 1981, 668, 4463, 196, 17, 4631, 423, 2856, 607, 18, 1173, 23000, 2867, 8, 1617, 50223, 2348, 34915, 34465, 38048, 1100, 6, 784, 23, 458, 306, 6296, 19620, 10952, 219, 15357, 83, 1730, 73, 50223, 401, 5783, 13845, 60, 4631, 1901, 17990, 5, 50223, 196, 5, 4458, 87, 455, 34345, 10, 159, 524, 231, 624, 2445, 21858, 4, 459, 18874, 2445, 21858, 4, 563, 2137, 564, 2629, 4, 47, 225, 1402, 654, 13164, 1672, 50223, 147, 1402, 654, 13164, 3206, 7956, 2042, 1182, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 1108, 6666, 34345, 48870, 19594, 1182, 1182, 50191, 23, 544, 5630, 2318, 5, 50223, 2038, 5, 1584, 21854, 34345, 1182, 1182, 50223, 42279, 68, 237, 25312, 10, 17998, 133, 541, 4458, 87, 194, 34345, 3206, 7956, 2042, 7912, 23, 5198, 2499, 50223, 379, 428, 250, 7193, 5868, 153, 11625, 290, 19340, 4394, 1182, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 24561, 48870, 19594, 1182, 1182, 50191, 4, 39, 9, 3867, 50223, 201, 692, 580, 5, 10582, 5, 1508, 2659, 8, 628, 29, 411, 50244, 668, 1502, 5, 18, 292, 50244, 668, 1502, 5, 50223, 7085, 5, 4280, 71, 34345, 1182, 1182, 50223, 39919, 9, 11708, 7, 1785, 13907, 4, 6, 11, 3323, 864, 50244, 580, 5, 10582, 5, 1508, 2659, 29, 411, 50244, 668, 1502, 5, 18, 50244, 580, 5, 10582, 5, 1508, 2659, 4, 50223, 1508, 50244, 668, 1502, 551, 649, 5, 15, 5, 119, 1685, 8, 107, 364, 8, 8141, 50209, 5865, 3369, 5, 50223, 196, 50223, 10903, 5, 3023, 1363, 4, 16795, 450, 6, 1112, 41562, 34345, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 9, 20913, 5013, 225, 1402, 654, 13164, 11890, 34543, 45, 1493, 1182, 1280, 4, 27, 1182, 49607, 14238, 27272, 1182, 1182, 50189, 7319, 68, 1182, 4655, 34742, 1182, 1182, 50223, 6353, 50191, 23, 1884, 1785, 34345, 1182, 50189, 32092, 16, 19, 50244, 1182, 1182, 48870, 25177, 1514, 7956, 73, 48870, 19594, 1182, 1182, 50191, 4, 6, 11, 110, 45978, 221, 24317, 7, 3717, 50223, 37442, 654, 13164, 2875, 4, 9128, 8, 681, 956, 897, 1157, 4, 6, 11, 86, 713, 18045, 3517, 940, 225, 1402, 654, 13164, 4852, 50223, 470, 580, 734, 29, 12539, 18045, 5, 37796, 9427, 48, 9876, 9335, 11455, 10309, 7531, 6, 186, 38810, 50223, 14820, 101, 28441, 7250, 225, 1402, 654, 13164, 2875, 5, 50223, 196, 5, 159, 2332, 12, 7581, 636, 1182, 23077, 24504, 150, 1680, 5, 207, 638, 508, 5, 894, 196, 50209, 11013, 239, 5, 15, 5, 17, 9506, 15, 27890, 2027, 8, 4083, 50223, 52, 9761, 1197, 8722, 3333, 9, 225, 1402, 654, 13164, 1672, 38, 10244, 1383, 8, 2332, 12, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 3206, 7956, 2042, 1182, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 1108, 6666, 34345, 48870, 19594, 1182, 1182, 50191, 23, 544, 5630, 2318, 5, 50223, 2038, 5, 1584, 21854, 34345, 1182, 1182, 50223, 42279, 68, 237, 25312, 10, 17998, 133, 541, 4458, 87, 194, 34345, 3206, 7956, 2042, 7912, 23, 5198, 2499, 50223, 379, 428, 250, 7193, 5868, 153, 11625, 290, 19340, 4394, 1182, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 24561, 48870, 19594, 1182, 1182, 50191, 4, 39, 9, 3867, 50223, 201, 692, 580, 5, 10582, 5, 1508, 2659, 8, 628, 29, 411, 50244, 668, 1502, 5, 18, 292, 50244, 668, 1502, 5, 50223, 7085, 5, 4280, 71, 34345, 1182, 1182, 50223, 39919, 9, 11708, 7, 1785, 13907, 4, 6, 11, 3323, 864, 50244, 580, 5, 10582, 5, 1508, 2659, 29, 411, 50244, 668, 1502, 5, 18, 50244, 580, 5, 10582, 5, 1508, 2659, 4, 50223, 1508, 50244, 668, 1502, 551, 649, 5, 15, 5, 119, 1685, 8, 107, 364, 8, 8141, 50209, 5865, 3369, 5, 50223, 196, 50223, 10903, 5, 3023, 1363, 4, 16795, 450, 6, 1112, 41562, 34345, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 9, 20913, 5013, 225, 1402, 654, 13164, 11890, 34543, 45, 1493, 1182, 1280, 4, 27, 1182, 49607, 14238, 27272, 1182, 1182, 50189, 7319, 68, 1182, 4655, 34742, 1182, 1182, 50223, 6353, 50191, 23, 1884, 1785, 34345, 1182, 50189, 32092, 16, 19, 50244, 1182, 1182, 48870, 25177, 1514, 7956, 73, 48870, 19594, 1182, 1182, 50191, 4, 6, 11, 110, 45978, 221, 24317, 7, 3717, 50223, 37442, 654, 13164, 2875, 4, 9128, 8, 681, 956, 897, 1157, 4, 6, 11, 86, 713, 18045, 3517, 940, 225, 1402, 654, 13164, 4852, 50223, 470, 580, 734, 29, 12539, 18045, 5, 37796, 9427, 48, 9876, 9335, 11455, 10309, 7531, 6, 186, 38810, 50223, 14820, 101, 28441, 7250, 225, 1402, 654, 13164, 2875, 5, 50223, 196, 5, 159, 2332, 12, 7581, 636, 1182, 23077, 24504, 150, 1680, 5, 207, 638, 508, 5, 894, 196, 50209, 11013, 239, 5, 15, 5, 17, 9506, 15, 27890, 2027, 8, 4083, 50223, 52, 9761, 1197, 8722, 3333, 9, 225, 1402, 654, 13164, 1672, 38, 10244, 1383, 8, 2332, 12, 5198, 82, 50223, 1498, 132, 25312, 28055, 23, 39548, 8860, 4720, 5, 50223, 259, 5, 3206, 7956, 73, 23, 4458, 6666, 34345, 10, 15768, 22376, 22983, 1572, 82, 638, 50223, 234, 5, 411, 50209, 39285, 239, 5, 15, 5, 17, 20467, 8, 4083, 6284, 8722, 3333, 5, 50223, 328, 5, 3206, 7956, 73, 10, 27414, 287, 7671, 38, 15198, 627, 5551, 9210, 6910, 7, 3717, 225, 1402, 654, 13164, 2875, 4, 9128, 50223, 190, 681, 956, 897, 237, 25312, 5, 50223, 266, 5, 34124, 7306, 400, 9, 6387, 13, 8, 265, 16544, 168, 20672, 34345, 3206, 7956, 165, 569, 4924, 50223, 86, 15785, 6, 2179, 12299, 116, 530, 3206, 7956, 168, 4, 93, 30, 8284, 9763, 34345, 11334, 8, 2555, 18672, 50223, 1776, 209, 481, 77, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 13907, 4, 6, 11, 3323, 864, 50244, 580, 5, 10582, 5, 1508, 2659, 29, 411, 50244, 668, 1502, 5, 18, 50244, 580, 5, 10582, 5, 1508, 2659, 4, 50223, 1508, 50244, 668, 1502, 551, 649, 5, 15, 5, 119, 1685, 8, 107, 364, 8, 8141, 50209, 5865, 3369, 5, 50223, 196, 50223, 10903, 5, 3023, 1363, 4, 16795, 450, 6, 1112, 41562, 34345, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 9, 20913, 5013, 225, 1402, 654, 13164, 11890, 34543, 45, 1493, 1182, 1280, 4, 27, 1182, 49607, 14238, 27272, 1182, 1182, 50189, 7319, 68, 1182, 4655, 34742, 1182, 1182, 50223, 6353, 50191, 23, 1884, 1785, 34345, 1182, 50189, 32092, 16, 19, 50244, 1182, 1182, 48870, 25177, 1514, 7956, 73, 48870, 19594, 1182, 1182, 50191, 4, 6, 11, 110, 45978, 221, 24317, 7, 3717, 50223, 37442, 654, 13164, 2875, 4, 9128, 8, 681, 956, 897, 1157, 4, 6, 11, 86, 713, 18045, 3517, 940, 225, 1402, 654, 13164, 4852, 50223, 470, 580, 734, 29, 12539, 18045, 5, 37796, 9427, 48, 9876, 9335, 11455, 10309, 7531, 6, 186, 38810, 50223, 14820, 101, 28441, 7250, 225, 1402, 654, 13164, 2875, 5, 50223, 196, 5, 159, 2332, 12, 7581, 636, 1182, 23077, 24504, 150, 1680, 5, 207, 638, 508, 5, 894, 196, 50209, 11013, 239, 5, 15, 5, 17, 9506, 15, 27890, 2027, 8, 4083, 50223, 52, 9761, 1197, 8722, 3333, 9, 225, 1402, 654, 13164, 1672, 38, 10244, 1383, 8, 2332, 12, 5198, 82, 50223, 1498, 132, 25312, 28055, 23, 39548, 8860, 4720, 5, 50223, 259, 5, 3206, 7956, 73, 23, 4458, 6666, 34345, 10, 15768, 22376, 22983, 1572, 82, 638, 50223, 234, 5, 411, 50209, 39285, 239, 5, 15, 5, 17, 20467, 8, 4083, 6284, 8722, 3333, 5, 50223, 328, 5, 3206, 7956, 73, 10, 27414, 287, 7671, 38, 15198, 627, 5551, 9210, 6910, 7, 3717, 225, 1402, 654, 13164, 2875, 4, 9128, 50223, 190, 681, 956, 897, 237, 25312, 5, 50223, 266, 5, 34124, 7306, 400, 9, 6387, 13, 8, 265, 16544, 168, 20672, 34345, 3206, 7956, 165, 569, 4924, 50223, 86, 15785, 6, 2179, 12299, 116, 530, 3206, 7956, 168, 4, 93, 30, 8284, 9763, 34345, 11334, 8, 2555, 18672, 50223, 1776, 209, 481, 77, 400, 225, 1402, 654, 13164, 2875, 5, 50223, 444, 5, 34124, 7306, 400, 9, 6387, 4, 13, 8, 265, 93, 3206, 7956, 165, 17733, 225, 1402, 654, 13164, 11890, 8873, 50223, 49737, 7193, 4, 7, 39, 9, 3206, 7956, 13877, 8, 9124, 3811, 1325, 6, 720, 4, 225, 1402, 654, 13164, 1672, 55, 928, 7, 50223, 290, 31289, 6941, 4139, 3206, 7956, 168, 5551, 11892, 8, 34124, 348, 4, 4174, 225, 1402, 654, 13164, 1672, 34, 569, 50223, 170, 2356, 604, 4683, 1183, 18, 20767, 14777, 21764, 50223, 497, 5, 34124, 7306, 400, 9, 6387, 7, 11139, 163, 22983, 5129, 6109, 50244, 50223, 71, 50191, 1368, 10, 3206, 7956, 165, 8, 49096, 832, 60, 6396, 3991, 11455, 10309, 38636, 33, 59, 530, 4, 50223, 37442, 654, 13164, 11890, 6783, 928, 7, 25149, 15, 45708, 4, 6, 2, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 1182, 1182, 50191, 4, 6, 11, 110, 45978, 221, 24317, 7, 3717, 50223, 37442, 654, 13164, 2875, 4, 9128, 8, 681, 956, 897, 1157, 4, 6, 11, 86, 713, 18045, 3517, 940, 225, 1402, 654, 13164, 4852, 50223, 470, 580, 734, 29, 12539, 18045, 5, 37796, 9427, 48, 9876, 9335, 11455, 10309, 7531, 6, 186, 38810, 50223, 14820, 101, 28441, 7250, 225, 1402, 654, 13164, 2875, 5, 50223, 196, 5, 159, 2332, 12, 7581, 636, 1182, 23077, 24504, 150, 1680, 5, 207, 638, 508, 5, 894, 196, 50209, 11013, 239, 5, 15, 5, 17, 9506, 15, 27890, 2027, 8, 4083, 50223, 52, 9761, 1197, 8722, 3333, 9, 225, 1402, 654, 13164, 1672, 38, 10244, 1383, 8, 2332, 12, 5198, 82, 50223, 1498, 132, 25312, 28055, 23, 39548, 8860, 4720, 5, 50223, 259, 5, 3206, 7956, 73, 23, 4458, 6666, 34345, 10, 15768, 22376, 22983, 1572, 82, 638, 50223, 234, 5, 411, 50209, 39285, 239, 5, 15, 5, 17, 20467, 8, 4083, 6284, 8722, 3333, 5, 50223, 328, 5, 3206, 7956, 73, 10, 27414, 287, 7671, 38, 15198, 627, 5551, 9210, 6910, 7, 3717, 225, 1402, 654, 13164, 2875, 4, 9128, 50223, 190, 681, 956, 897, 237, 25312, 5, 50223, 266, 5, 34124, 7306, 400, 9, 6387, 13, 8, 265, 16544, 168, 20672, 34345, 3206, 7956, 165, 569, 4924, 50223, 86, 15785, 6, 2179, 12299, 116, 530, 3206, 7956, 168, 4, 93, 30, 8284, 9763, 34345, 11334, 8, 2555, 18672, 50223, 1776, 209, 481, 77, 400, 225, 1402, 654, 13164, 2875, 5, 50223, 444, 5, 34124, 7306, 400, 9, 6387, 4, 13, 8, 265, 93, 3206, 7956, 165, 17733, 225, 1402, 654, 13164, 11890, 8873, 50223, 49737, 7193, 4, 7, 39, 9, 3206, 7956, 13877, 8, 9124, 3811, 1325, 6, 720, 4, 225, 1402, 654, 13164, 1672, 55, 928, 7, 50223, 290, 31289, 6941, 4139, 3206, 7956, 168, 5551, 11892, 8, 34124, 348, 4, 4174, 225, 1402, 654, 13164, 1672, 34, 569, 50223, 170, 2356, 604, 4683, 1183, 18, 20767, 14777, 21764, 50223, 497, 5, 34124, 7306, 400, 9, 6387, 7, 11139, 163, 22983, 5129, 6109, 50244, 50223, 71, 50191, 1368, 10, 3206, 7956, 165, 8, 49096, 832, 60, 6396, 3991, 11455, 10309, 38636, 33, 59, 530, 4, 50223, 37442, 654, 13164, 11890, 6783, 928, 7, 25149, 15, 45708, 4, 6, 11, 45, 1493, 563, 4, 7062, 1182, 50258, 15, 29103, 12208, 50223, 582, 616, 23, 394, 4697, 11255, 364, 45708, 5, 50223, 159, 5, 26600, 73, 1212, 34345, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 37, 10, 10260, 5914, 1458, 7, 4458, 87, 51, 34345, 5, 50223, 196, 5, 3206, 7956, 165, 37, 10, 10260, 5914, 7258, 30676, 7, 24685, 6716, 1498, 371, 8, 2185, 50223, 23077, 24504, 1495, 638, 508, 5, 229, 5275, 50209, 9720, 239, 5, 15, 5, 17, 9506, 15, 5346, 8, 4083, 6284, 3333, 5, 50223, 259, 5, 3206, 7956, 165, 37, 10, 10260, 1140, 12253, 361, 293, 778, 18, 108, 96, 31916, 33, 1482, 7925, 168, 18512, 50223, 2859, 1498, 6165, 4, 1396, 5, 15027, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 4720, 5, 50223, 259, 5, 3206, 7956, 73, 23, 4458, 6666, 34345, 10, 15768, 22376, 22983, 1572, 82, 638, 50223, 234, 5, 411, 50209, 39285, 239, 5, 15, 5, 17, 20467, 8, 4083, 6284, 8722, 3333, 5, 50223, 328, 5, 3206, 7956, 73, 10, 27414, 287, 7671, 38, 15198, 627, 5551, 9210, 6910, 7, 3717, 225, 1402, 654, 13164, 2875, 4, 9128, 50223, 190, 681, 956, 897, 237, 25312, 5, 50223, 266, 5, 34124, 7306, 400, 9, 6387, 13, 8, 265, 16544, 168, 20672, 34345, 3206, 7956, 165, 569, 4924, 50223, 86, 15785, 6, 2179, 12299, 116, 530, 3206, 7956, 168, 4, 93, 30, 8284, 9763, 34345, 11334, 8, 2555, 18672, 50223, 1776, 209, 481, 77, 400, 225, 1402, 654, 13164, 2875, 5, 50223, 444, 5, 34124, 7306, 400, 9, 6387, 4, 13, 8, 265, 93, 3206, 7956, 165, 17733, 225, 1402, 654, 13164, 11890, 8873, 50223, 49737, 7193, 4, 7, 39, 9, 3206, 7956, 13877, 8, 9124, 3811, 1325, 6, 720, 4, 225, 1402, 654, 13164, 1672, 55, 928, 7, 50223, 290, 31289, 6941, 4139, 3206, 7956, 168, 5551, 11892, 8, 34124, 348, 4, 4174, 225, 1402, 654, 13164, 1672, 34, 569, 50223, 170, 2356, 604, 4683, 1183, 18, 20767, 14777, 21764, 50223, 497, 5, 34124, 7306, 400, 9, 6387, 7, 11139, 163, 22983, 5129, 6109, 50244, 50223, 71, 50191, 1368, 10, 3206, 7956, 165, 8, 49096, 832, 60, 6396, 3991, 11455, 10309, 38636, 33, 59, 530, 4, 50223, 37442, 654, 13164, 11890, 6783, 928, 7, 25149, 15, 45708, 4, 6, 11, 45, 1493, 563, 4, 7062, 1182, 50258, 15, 29103, 12208, 50223, 582, 616, 23, 394, 4697, 11255, 364, 45708, 5, 50223, 159, 5, 26600, 73, 1212, 34345, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 37, 10, 10260, 5914, 1458, 7, 4458, 87, 51, 34345, 5, 50223, 196, 5, 3206, 7956, 165, 37, 10, 10260, 5914, 7258, 30676, 7, 24685, 6716, 1498, 371, 8, 2185, 50223, 23077, 24504, 1495, 638, 508, 5, 229, 5275, 50209, 9720, 239, 5, 15, 5, 17, 9506, 15, 5346, 8, 4083, 6284, 3333, 5, 50223, 259, 5, 3206, 7956, 165, 37, 10, 10260, 1140, 12253, 361, 293, 778, 18, 108, 96, 31916, 33, 1482, 7925, 168, 18512, 50223, 2859, 1498, 6165, 4, 1396, 5, 15027, 12031, 1182, 50189, 4595, 96, 7956, 391, 50191, 5, 50223, 328, 5, 3206, 7956, 82, 237, 25312, 4541, 46622, 2193, 7, 376, 66, 41324, 17634, 5, 34124, 7306, 400, 9, 50223, 105, 20992, 9001, 7, 1578, 34022, 2193, 14523, 616, 373, 2016, 16735, 19555, 4, 8, 7708, 265, 50223, 1153, 225, 1402, 654, 13164, 1672, 4924, 7, 1217, 24066, 34543, 4, 1711, 9, 12, 3206, 7956, 391, 1276, 29176, 660, 5, 50223, 266, 5, 159, 265, 93, 8433, 30, 2909, 33, 24714, 26099, 34345, 82, 237, 25312, 4, 225, 1402, 654, 13164, 1672, 62, 50223, 6683, 401, 34124, 1032, 31827, 5, 50223, 15776, 5, 24766, 177, 6, 3488, 34124, 190, 163, 1572, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 50244, 50223, 71, 50191, 14009, 3206, 7956, 2042, 4458, 2, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100 ]
[ 0, 400, 9, 6387, 4, 13, 8, 265, 93, 3206, 7956, 165, 17733, 225, 1402, 654, 13164, 11890, 8873, 50223, 49737, 7193, 4, 7, 39, 9, 3206, 7956, 13877, 8, 9124, 3811, 1325, 6, 720, 4, 225, 1402, 654, 13164, 1672, 55, 928, 7, 50223, 290, 31289, 6941, 4139, 3206, 7956, 168, 5551, 11892, 8, 34124, 348, 4, 4174, 225, 1402, 654, 13164, 1672, 34, 569, 50223, 170, 2356, 604, 4683, 1183, 18, 20767, 14777, 21764, 50223, 497, 5, 34124, 7306, 400, 9, 6387, 7, 11139, 163, 22983, 5129, 6109, 50244, 50223, 71, 50191, 1368, 10, 3206, 7956, 165, 8, 49096, 832, 60, 6396, 3991, 11455, 10309, 38636, 33, 59, 530, 4, 50223, 37442, 654, 13164, 11890, 6783, 928, 7, 25149, 15, 45708, 4, 6, 11, 45, 1493, 563, 4, 7062, 1182, 50258, 15, 29103, 12208, 50223, 582, 616, 23, 394, 4697, 11255, 364, 45708, 5, 50223, 159, 5, 26600, 73, 1212, 34345, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 37, 10, 10260, 5914, 1458, 7, 4458, 87, 51, 34345, 5, 50223, 196, 5, 3206, 7956, 165, 37, 10, 10260, 5914, 7258, 30676, 7, 24685, 6716, 1498, 371, 8, 2185, 50223, 23077, 24504, 1495, 638, 508, 5, 229, 5275, 50209, 9720, 239, 5, 15, 5, 17, 9506, 15, 5346, 8, 4083, 6284, 3333, 5, 50223, 259, 5, 3206, 7956, 165, 37, 10, 10260, 1140, 12253, 361, 293, 778, 18, 108, 96, 31916, 33, 1482, 7925, 168, 18512, 50223, 2859, 1498, 6165, 4, 1396, 5, 15027, 12031, 1182, 50189, 4595, 96, 7956, 391, 50191, 5, 50223, 328, 5, 3206, 7956, 82, 237, 25312, 4541, 46622, 2193, 7, 376, 66, 41324, 17634, 5, 34124, 7306, 400, 9, 50223, 105, 20992, 9001, 7, 1578, 34022, 2193, 14523, 616, 373, 2016, 16735, 19555, 4, 8, 7708, 265, 50223, 1153, 225, 1402, 654, 13164, 1672, 4924, 7, 1217, 24066, 34543, 4, 1711, 9, 12, 3206, 7956, 391, 1276, 29176, 660, 5, 50223, 266, 5, 159, 265, 93, 8433, 30, 2909, 33, 24714, 26099, 34345, 82, 237, 25312, 4, 225, 1402, 654, 13164, 1672, 62, 50223, 6683, 401, 34124, 1032, 31827, 5, 50223, 15776, 5, 24766, 177, 6, 3488, 34124, 190, 163, 1572, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 50244, 50223, 71, 50191, 14009, 3206, 7956, 2042, 4458, 6666, 34345, 7, 5551, 12112, 1785, 6, 8, 2372, 8688, 68, 7, 50223, 470, 1643, 2976, 17936, 4, 50223, 211, 50191, 4683, 3206, 7956, 2042, 45300, 47887, 1166, 4458, 87, 194, 34345, 4, 50223, 134, 50191, 4683, 3206, 7956, 2042, 21738, 450, 19865, 10463, 4, 1396, 5, 11155, 4033, 256, 1968, 10463, 5, 50223, 196, 5, 3206, 7956, 165, 9, 20913, 50244, 50223, 71, 50191, 3334, 1838, 4458, 87, 194, 34345, 6, 47887, 17172, 4458, 87, 194, 34345, 28, 1785, 34345, 4, 50223, 211, 50191, 3334, 11784, 933, 8328, 32665, 5132, 4, 41964, 24029, 33, 708, 50223, 147, 7145, 6821, 269, 4, 39, 21, 523, 7344, 4089, 21799, 4, 1396, 5, 16498, 36958, 9705, 135, 50223, 379, 1756, 133, 8, 4458, 87, 51, 34345, 4, 50223, 134, 50191, 2, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100 ]
[ 0, 1182, 50258, 15, 29103, 12208, 50223, 582, 616, 23, 394, 4697, 11255, 364, 45708, 5, 50223, 159, 5, 26600, 73, 1212, 34345, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 37, 10, 10260, 5914, 1458, 7, 4458, 87, 51, 34345, 5, 50223, 196, 5, 3206, 7956, 165, 37, 10, 10260, 5914, 7258, 30676, 7, 24685, 6716, 1498, 371, 8, 2185, 50223, 23077, 24504, 1495, 638, 508, 5, 229, 5275, 50209, 9720, 239, 5, 15, 5, 17, 9506, 15, 5346, 8, 4083, 6284, 3333, 5, 50223, 259, 5, 3206, 7956, 165, 37, 10, 10260, 1140, 12253, 361, 293, 778, 18, 108, 96, 31916, 33, 1482, 7925, 168, 18512, 50223, 2859, 1498, 6165, 4, 1396, 5, 15027, 12031, 1182, 50189, 4595, 96, 7956, 391, 50191, 5, 50223, 328, 5, 3206, 7956, 82, 237, 25312, 4541, 46622, 2193, 7, 376, 66, 41324, 17634, 5, 34124, 7306, 400, 9, 50223, 105, 20992, 9001, 7, 1578, 34022, 2193, 14523, 616, 373, 2016, 16735, 19555, 4, 8, 7708, 265, 50223, 1153, 225, 1402, 654, 13164, 1672, 4924, 7, 1217, 24066, 34543, 4, 1711, 9, 12, 3206, 7956, 391, 1276, 29176, 660, 5, 50223, 266, 5, 159, 265, 93, 8433, 30, 2909, 33, 24714, 26099, 34345, 82, 237, 25312, 4, 225, 1402, 654, 13164, 1672, 62, 50223, 6683, 401, 34124, 1032, 31827, 5, 50223, 15776, 5, 24766, 177, 6, 3488, 34124, 190, 163, 1572, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 50244, 50223, 71, 50191, 14009, 3206, 7956, 2042, 4458, 6666, 34345, 7, 5551, 12112, 1785, 6, 8, 2372, 8688, 68, 7, 50223, 470, 1643, 2976, 17936, 4, 50223, 211, 50191, 4683, 3206, 7956, 2042, 45300, 47887, 1166, 4458, 87, 194, 34345, 4, 50223, 134, 50191, 4683, 3206, 7956, 2042, 21738, 450, 19865, 10463, 4, 1396, 5, 11155, 4033, 256, 1968, 10463, 5, 50223, 196, 5, 3206, 7956, 165, 9, 20913, 50244, 50223, 71, 50191, 3334, 1838, 4458, 87, 194, 34345, 6, 47887, 17172, 4458, 87, 194, 34345, 28, 1785, 34345, 4, 50223, 211, 50191, 3334, 11784, 933, 8328, 32665, 5132, 4, 41964, 24029, 33, 708, 50223, 147, 7145, 6821, 269, 4, 39, 21, 523, 7344, 4089, 21799, 4, 1396, 5, 16498, 36958, 9705, 135, 50223, 379, 1756, 133, 8, 4458, 87, 51, 34345, 4, 50223, 134, 50191, 4730, 28, 1785, 34345, 4458, 6666, 34345, 7912, 7, 45300, 5204, 4, 50223, 201, 50191, 8948, 225, 1402, 654, 13164, 11890, 306, 44278, 9926, 31767, 4950, 4, 50223, 56, 7156, 15598, 15595, 449, 4, 6, 11, 2409, 5401, 636, 11512, 4, 1396, 5, 22057, 33, 50223, 22101, 1485, 16546, 16887, 4, 50223, 259, 50223, 179, 50191, 11619, 8, 4458, 87, 51, 34345, 3024, 3724, 3439, 6, 11203, 168, 40194, 1800, 6271, 4, 50223, 235, 50191, 3334, 7, 2101, 2183, 28, 9979, 34345, 32177, 14108, 34345, 18, 50223, 147, 16390, 168, 2447, 1182, 50189, 1006, 889, 541, 13594, 643, 34892, 45440, 19783, 14108, 50223, 96, 31916, 6, 29, 3866, 6819, 33442, 1223, 303, 15778, 34345, 50191, 4, 50223, 220, 50191, 17559, 7, 25327, 225, 1402, 654, 13164, 2875, 33, 783, 7357, 2, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100 ]
[ 0, 3206, 7956, 82, 237, 25312, 4541, 46622, 2193, 7, 376, 66, 41324, 17634, 5, 34124, 7306, 400, 9, 50223, 105, 20992, 9001, 7, 1578, 34022, 2193, 14523, 616, 373, 2016, 16735, 19555, 4, 8, 7708, 265, 50223, 1153, 225, 1402, 654, 13164, 1672, 4924, 7, 1217, 24066, 34543, 4, 1711, 9, 12, 3206, 7956, 391, 1276, 29176, 660, 5, 50223, 266, 5, 159, 265, 93, 8433, 30, 2909, 33, 24714, 26099, 34345, 82, 237, 25312, 4, 225, 1402, 654, 13164, 1672, 62, 50223, 6683, 401, 34124, 1032, 31827, 5, 50223, 15776, 5, 24766, 177, 6, 3488, 34124, 190, 163, 1572, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 50244, 50223, 71, 50191, 14009, 3206, 7956, 2042, 4458, 6666, 34345, 7, 5551, 12112, 1785, 6, 8, 2372, 8688, 68, 7, 50223, 470, 1643, 2976, 17936, 4, 50223, 211, 50191, 4683, 3206, 7956, 2042, 45300, 47887, 1166, 4458, 87, 194, 34345, 4, 50223, 134, 50191, 4683, 3206, 7956, 2042, 21738, 450, 19865, 10463, 4, 1396, 5, 11155, 4033, 256, 1968, 10463, 5, 50223, 196, 5, 3206, 7956, 165, 9, 20913, 50244, 50223, 71, 50191, 3334, 1838, 4458, 87, 194, 34345, 6, 47887, 17172, 4458, 87, 194, 34345, 28, 1785, 34345, 4, 50223, 211, 50191, 3334, 11784, 933, 8328, 32665, 5132, 4, 41964, 24029, 33, 708, 50223, 147, 7145, 6821, 269, 4, 39, 21, 523, 7344, 4089, 21799, 4, 1396, 5, 16498, 36958, 9705, 135, 50223, 379, 1756, 133, 8, 4458, 87, 51, 34345, 4, 50223, 134, 50191, 4730, 28, 1785, 34345, 4458, 6666, 34345, 7912, 7, 45300, 5204, 4, 50223, 201, 50191, 8948, 225, 1402, 654, 13164, 11890, 306, 44278, 9926, 31767, 4950, 4, 50223, 56, 7156, 15598, 15595, 449, 4, 6, 11, 2409, 5401, 636, 11512, 4, 1396, 5, 22057, 33, 50223, 22101, 1485, 16546, 16887, 4, 50223, 259, 50223, 179, 50191, 11619, 8, 4458, 87, 51, 34345, 3024, 3724, 3439, 6, 11203, 168, 40194, 1800, 6271, 4, 50223, 235, 50191, 3334, 7, 2101, 2183, 28, 9979, 34345, 32177, 14108, 34345, 18, 50223, 147, 16390, 168, 2447, 1182, 50189, 1006, 889, 541, 13594, 643, 34892, 45440, 19783, 14108, 50223, 96, 31916, 6, 29, 3866, 6819, 33442, 1223, 303, 15778, 34345, 50191, 4, 50223, 220, 50191, 17559, 7, 25327, 225, 1402, 654, 13164, 2875, 33, 783, 7357, 940, 1371, 1993, 18, 4458, 87, 194, 50223, 96, 31916, 6, 17559, 225, 1402, 654, 13164, 11890, 33, 8044, 7357, 940, 6165, 3387, 10513, 50223, 71, 26099, 21585, 4458, 87, 194, 34345, 4, 50223, 205, 50191, 9, 20913, 12900, 7913, 34861, 1962, 1506, 7383, 5785, 13178, 6, 2952, 13178, 50223, 190, 265, 4, 93, 3206, 7956, 2042, 960, 3657, 4605, 15, 9273, 10675, 11044, 50223, 5012, 168, 7, 1716, 869, 926, 8, 23997, 1423, 12, 5198, 14108, 34345, 5, 50223, 259, 5, 3206, 7956, 165, 23087, 13, 35647, 8, 10123, 3331, 3213, 23, 3488, 225, 1402, 654, 13164, 2875, 4, 50223, 465, 2164, 12325, 129, 77, 638, 508, 5, 1270, 328, 50209, 20014, 239, 5, 15, 5, 17, 3556, 67, 9365, 8326, 8, 4083, 6284, 50223, 4767, 34382, 4, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 1785, 6, 8, 2372, 8688, 68, 7, 50223, 470, 1643, 2976, 17936, 4, 50223, 211, 50191, 4683, 3206, 7956, 2042, 45300, 47887, 1166, 4458, 87, 194, 34345, 4, 50223, 134, 50191, 4683, 3206, 7956, 2042, 21738, 450, 19865, 10463, 4, 1396, 5, 11155, 4033, 256, 1968, 10463, 5, 50223, 196, 5, 3206, 7956, 165, 9, 20913, 50244, 50223, 71, 50191, 3334, 1838, 4458, 87, 194, 34345, 6, 47887, 17172, 4458, 87, 194, 34345, 28, 1785, 34345, 4, 50223, 211, 50191, 3334, 11784, 933, 8328, 32665, 5132, 4, 41964, 24029, 33, 708, 50223, 147, 7145, 6821, 269, 4, 39, 21, 523, 7344, 4089, 21799, 4, 1396, 5, 16498, 36958, 9705, 135, 50223, 379, 1756, 133, 8, 4458, 87, 51, 34345, 4, 50223, 134, 50191, 4730, 28, 1785, 34345, 4458, 6666, 34345, 7912, 7, 45300, 5204, 4, 50223, 201, 50191, 8948, 225, 1402, 654, 13164, 11890, 306, 44278, 9926, 31767, 4950, 4, 50223, 56, 7156, 15598, 15595, 449, 4, 6, 11, 2409, 5401, 636, 11512, 4, 1396, 5, 22057, 33, 50223, 22101, 1485, 16546, 16887, 4, 50223, 259, 50223, 179, 50191, 11619, 8, 4458, 87, 51, 34345, 3024, 3724, 3439, 6, 11203, 168, 40194, 1800, 6271, 4, 50223, 235, 50191, 3334, 7, 2101, 2183, 28, 9979, 34345, 32177, 14108, 34345, 18, 50223, 147, 16390, 168, 2447, 1182, 50189, 1006, 889, 541, 13594, 643, 34892, 45440, 19783, 14108, 50223, 96, 31916, 6, 29, 3866, 6819, 33442, 1223, 303, 15778, 34345, 50191, 4, 50223, 220, 50191, 17559, 7, 25327, 225, 1402, 654, 13164, 2875, 33, 783, 7357, 940, 1371, 1993, 18, 4458, 87, 194, 50223, 96, 31916, 6, 17559, 225, 1402, 654, 13164, 11890, 33, 8044, 7357, 940, 6165, 3387, 10513, 50223, 71, 26099, 21585, 4458, 87, 194, 34345, 4, 50223, 205, 50191, 9, 20913, 12900, 7913, 34861, 1962, 1506, 7383, 5785, 13178, 6, 2952, 13178, 50223, 190, 265, 4, 93, 3206, 7956, 2042, 960, 3657, 4605, 15, 9273, 10675, 11044, 50223, 5012, 168, 7, 1716, 869, 926, 8, 23997, 1423, 12, 5198, 14108, 34345, 5, 50223, 259, 5, 3206, 7956, 165, 23087, 13, 35647, 8, 10123, 3331, 3213, 23, 3488, 225, 1402, 654, 13164, 2875, 4, 50223, 465, 2164, 12325, 129, 77, 638, 508, 5, 1270, 328, 50209, 20014, 239, 5, 15, 5, 17, 3556, 67, 9365, 8326, 8, 4083, 6284, 50223, 4767, 34382, 4, 28891, 508, 5, 39900, 50209, 15024, 239, 5, 15, 5, 17, 9705, 116, 34376, 4, 19, 16, 638, 50223, 234, 5, 36098, 50209, 11605, 239, 5, 15, 5, 17, 3592, 6, 3556, 4393, 38, 1534, 6, 17, 2909, 6, 9689, 6284, 50223, 4767, 34382, 5, 50223, 328, 5, 3206, 7956, 165, 23087, 4, 13, 9, 11569, 3515, 12, 5367, 4701, 35550, 4458, 87, 194, 34345, 4, 47, 50223, 465, 5020, 225, 1402, 654, 13164, 1672, 6, 47, 10, 34247, 7, 6392, 1201, 225, 1402, 654, 13164, 2875, 50244, 973, 48453, 5, 128, 2247, 5, 334, 4, 50223, 71, 683, 9, 3206, 7956, 165, 20913, 54, 11619, 5, 50223, 266, 5, 34124, 7306, 400, 9, 6387, 4, 13, 24703, 1182, 23077, 24504, 7490, 444, 1680, 5, 119, 28913, 19088, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
[ 0, 34345, 7912, 7, 45300, 5204, 4, 50223, 201, 50191, 8948, 225, 1402, 654, 13164, 11890, 306, 44278, 9926, 31767, 4950, 4, 50223, 56, 7156, 15598, 15595, 449, 4, 6, 11, 2409, 5401, 636, 11512, 4, 1396, 5, 22057, 33, 50223, 22101, 1485, 16546, 16887, 4, 50223, 259, 50223, 179, 50191, 11619, 8, 4458, 87, 51, 34345, 3024, 3724, 3439, 6, 11203, 168, 40194, 1800, 6271, 4, 50223, 235, 50191, 3334, 7, 2101, 2183, 28, 9979, 34345, 32177, 14108, 34345, 18, 50223, 147, 16390, 168, 2447, 1182, 50189, 1006, 889, 541, 13594, 643, 34892, 45440, 19783, 14108, 50223, 96, 31916, 6, 29, 3866, 6819, 33442, 1223, 303, 15778, 34345, 50191, 4, 50223, 220, 50191, 17559, 7, 25327, 225, 1402, 654, 13164, 2875, 33, 783, 7357, 940, 1371, 1993, 18, 4458, 87, 194, 50223, 96, 31916, 6, 17559, 225, 1402, 654, 13164, 11890, 33, 8044, 7357, 940, 6165, 3387, 10513, 50223, 71, 26099, 21585, 4458, 87, 194, 34345, 4, 50223, 205, 50191, 9, 20913, 12900, 7913, 34861, 1962, 1506, 7383, 5785, 13178, 6, 2952, 13178, 50223, 190, 265, 4, 93, 3206, 7956, 2042, 960, 3657, 4605, 15, 9273, 10675, 11044, 50223, 5012, 168, 7, 1716, 869, 926, 8, 23997, 1423, 12, 5198, 14108, 34345, 5, 50223, 259, 5, 3206, 7956, 165, 23087, 13, 35647, 8, 10123, 3331, 3213, 23, 3488, 225, 1402, 654, 13164, 2875, 4, 50223, 465, 2164, 12325, 129, 77, 638, 508, 5, 1270, 328, 50209, 20014, 239, 5, 15, 5, 17, 3556, 67, 9365, 8326, 8, 4083, 6284, 50223, 4767, 34382, 4, 28891, 508, 5, 39900, 50209, 15024, 239, 5, 15, 5, 17, 9705, 116, 34376, 4, 19, 16, 638, 50223, 234, 5, 36098, 50209, 11605, 239, 5, 15, 5, 17, 3592, 6, 3556, 4393, 38, 1534, 6, 17, 2909, 6, 9689, 6284, 50223, 4767, 34382, 5, 50223, 328, 5, 3206, 7956, 165, 23087, 4, 13, 9, 11569, 3515, 12, 5367, 4701, 35550, 4458, 87, 194, 34345, 4, 47, 50223, 465, 5020, 225, 1402, 654, 13164, 1672, 6, 47, 10, 34247, 7, 6392, 1201, 225, 1402, 654, 13164, 2875, 50244, 973, 48453, 5, 128, 2247, 5, 334, 4, 50223, 71, 683, 9, 3206, 7956, 165, 20913, 54, 11619, 5, 50223, 266, 5, 34124, 7306, 400, 9, 6387, 4, 13, 24703, 1182, 23077, 24504, 7490, 444, 1680, 5, 119, 28913, 19088, 9, 21852, 278, 5, 50223, 159, 10311, 5, 15424, 490, 73, 9661, 1182, 1182, 50223, 253, 5, 30666, 8, 34124, 348, 37, 10, 2747, 660, 4, 306, 12693, 33, 4426, 11510, 82, 33, 50223, 190, 1423, 12, 3507, 34124, 1338, 1182, 50189, 32092, 36, 1182, 48870, 25177, 32589, 10082, 48870, 19594, 50191, 1088, 91, 8868, 287, 11850, 6, 50223, 201, 2866, 234, 572, 747, 28887, 6308, 723, 993, 13381, 1804, 4997, 4889, 28495, 10541, 4, 50223, 35516, 12725, 1946, 14917, 33, 1592, 4, 7, 22902, 231, 466, 1222, 22983, 1572, 2747, 8, 50223, 1297, 956, 897, 237, 1157, 5, 1050, 364, 33, 380, 12539, 12693, 9, 2630, 50244, 50223, 71, 50191, 93, 9, 7728, 4548, 993, 13381, 1804, 4997, 4889, 28495, 10541, 4, 2, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 4458, 87, 194, 50223, 96, 31916, 6, 17559, 225, 1402, 654, 13164, 11890, 33, 8044, 7357, 940, 6165, 3387, 10513, 50223, 71, 26099, 21585, 4458, 87, 194, 34345, 4, 50223, 205, 50191, 9, 20913, 12900, 7913, 34861, 1962, 1506, 7383, 5785, 13178, 6, 2952, 13178, 50223, 190, 265, 4, 93, 3206, 7956, 2042, 960, 3657, 4605, 15, 9273, 10675, 11044, 50223, 5012, 168, 7, 1716, 869, 926, 8, 23997, 1423, 12, 5198, 14108, 34345, 5, 50223, 259, 5, 3206, 7956, 165, 23087, 13, 35647, 8, 10123, 3331, 3213, 23, 3488, 225, 1402, 654, 13164, 2875, 4, 50223, 465, 2164, 12325, 129, 77, 638, 508, 5, 1270, 328, 50209, 20014, 239, 5, 15, 5, 17, 3556, 67, 9365, 8326, 8, 4083, 6284, 50223, 4767, 34382, 4, 28891, 508, 5, 39900, 50209, 15024, 239, 5, 15, 5, 17, 9705, 116, 34376, 4, 19, 16, 638, 50223, 234, 5, 36098, 50209, 11605, 239, 5, 15, 5, 17, 3592, 6, 3556, 4393, 38, 1534, 6, 17, 2909, 6, 9689, 6284, 50223, 4767, 34382, 5, 50223, 328, 5, 3206, 7956, 165, 23087, 4, 13, 9, 11569, 3515, 12, 5367, 4701, 35550, 4458, 87, 194, 34345, 4, 47, 50223, 465, 5020, 225, 1402, 654, 13164, 1672, 6, 47, 10, 34247, 7, 6392, 1201, 225, 1402, 654, 13164, 2875, 50244, 973, 48453, 5, 128, 2247, 5, 334, 4, 50223, 71, 683, 9, 3206, 7956, 165, 20913, 54, 11619, 5, 50223, 266, 5, 34124, 7306, 400, 9, 6387, 4, 13, 24703, 1182, 23077, 24504, 7490, 444, 1680, 5, 119, 28913, 19088, 9, 21852, 278, 5, 50223, 159, 10311, 5, 15424, 490, 73, 9661, 1182, 1182, 50223, 253, 5, 30666, 8, 34124, 348, 37, 10, 2747, 660, 4, 306, 12693, 33, 4426, 11510, 82, 33, 50223, 190, 1423, 12, 3507, 34124, 1338, 1182, 50189, 32092, 36, 1182, 48870, 25177, 32589, 10082, 48870, 19594, 50191, 1088, 91, 8868, 287, 11850, 6, 50223, 201, 2866, 234, 572, 747, 28887, 6308, 723, 993, 13381, 1804, 4997, 4889, 28495, 10541, 4, 50223, 35516, 12725, 1946, 14917, 33, 1592, 4, 7, 22902, 231, 466, 1222, 22983, 1572, 2747, 8, 50223, 1297, 956, 897, 237, 1157, 5, 1050, 364, 33, 380, 12539, 12693, 9, 2630, 50244, 50223, 71, 50191, 93, 9, 7728, 4548, 993, 13381, 1804, 4997, 4889, 28495, 10541, 4, 364, 22404, 50223, 1297, 8238, 81, 5872, 1308, 7544, 5166, 16204, 16851, 185, 8012, 5, 38079, 9, 2630, 50223, 290, 38867, 5166, 3563, 28887, 6308, 723, 16, 21340, 2799, 35622, 15211, 18245, 3563, 50223, 100, 32445, 6308, 723, 15, 1924, 1182, 48870, 25177, 813, 1186, 2399, 14617, 48870, 19594, 4, 1182, 48870, 25177, 1297, 8238, 53, 1123, 190, 2782, 256, 8, 9627, 116, 9124, 48870, 19594, 4, 50223, 48870, 25177, 813, 1186, 2399, 819, 440, 9745, 48870, 19594, 4, 1182, 48870, 25177, 813, 1186, 2399, 9750, 17, 22273, 10751, 591, 48870, 19594, 4, 33, 15, 9818, 1482, 50223, 201, 1928, 10779, 4, 50223, 211, 50191, 93, 9, 7728, 4548, 41666, 14917, 4, 364, 17749, 28, 1090, 102, 42901, 4, 6, 11, 913, 50223, 6101, 34405, 4, 57, 149, 3557, 16851, 96, 2, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100 ]
[ 0, 39900, 50209, 15024, 239, 5, 15, 5, 17, 9705, 116, 34376, 4, 19, 16, 638, 50223, 234, 5, 36098, 50209, 11605, 239, 5, 15, 5, 17, 3592, 6, 3556, 4393, 38, 1534, 6, 17, 2909, 6, 9689, 6284, 50223, 4767, 34382, 5, 50223, 328, 5, 3206, 7956, 165, 23087, 4, 13, 9, 11569, 3515, 12, 5367, 4701, 35550, 4458, 87, 194, 34345, 4, 47, 50223, 465, 5020, 225, 1402, 654, 13164, 1672, 6, 47, 10, 34247, 7, 6392, 1201, 225, 1402, 654, 13164, 2875, 50244, 973, 48453, 5, 128, 2247, 5, 334, 4, 50223, 71, 683, 9, 3206, 7956, 165, 20913, 54, 11619, 5, 50223, 266, 5, 34124, 7306, 400, 9, 6387, 4, 13, 24703, 1182, 23077, 24504, 7490, 444, 1680, 5, 119, 28913, 19088, 9, 21852, 278, 5, 50223, 159, 10311, 5, 15424, 490, 73, 9661, 1182, 1182, 50223, 253, 5, 30666, 8, 34124, 348, 37, 10, 2747, 660, 4, 306, 12693, 33, 4426, 11510, 82, 33, 50223, 190, 1423, 12, 3507, 34124, 1338, 1182, 50189, 32092, 36, 1182, 48870, 25177, 32589, 10082, 48870, 19594, 50191, 1088, 91, 8868, 287, 11850, 6, 50223, 201, 2866, 234, 572, 747, 28887, 6308, 723, 993, 13381, 1804, 4997, 4889, 28495, 10541, 4, 50223, 35516, 12725, 1946, 14917, 33, 1592, 4, 7, 22902, 231, 466, 1222, 22983, 1572, 2747, 8, 50223, 1297, 956, 897, 237, 1157, 5, 1050, 364, 33, 380, 12539, 12693, 9, 2630, 50244, 50223, 71, 50191, 93, 9, 7728, 4548, 993, 13381, 1804, 4997, 4889, 28495, 10541, 4, 364, 22404, 50223, 1297, 8238, 81, 5872, 1308, 7544, 5166, 16204, 16851, 185, 8012, 5, 38079, 9, 2630, 50223, 290, 38867, 5166, 3563, 28887, 6308, 723, 16, 21340, 2799, 35622, 15211, 18245, 3563, 50223, 100, 32445, 6308, 723, 15, 1924, 1182, 48870, 25177, 813, 1186, 2399, 14617, 48870, 19594, 4, 1182, 48870, 25177, 1297, 8238, 53, 1123, 190, 2782, 256, 8, 9627, 116, 9124, 48870, 19594, 4, 50223, 48870, 25177, 813, 1186, 2399, 819, 440, 9745, 48870, 19594, 4, 1182, 48870, 25177, 813, 1186, 2399, 9750, 17, 22273, 10751, 591, 48870, 19594, 4, 33, 15, 9818, 1482, 50223, 201, 1928, 10779, 4, 50223, 211, 50191, 93, 9, 7728, 4548, 41666, 14917, 4, 364, 17749, 28, 1090, 102, 42901, 4, 6, 11, 913, 50223, 6101, 34405, 4, 57, 149, 3557, 16851, 96, 1247, 1123, 7164, 78, 4, 50223, 134, 50191, 93, 9, 7728, 4548, 1592, 4, 364, 33, 380, 18757, 12693, 5166, 16204, 16851, 185, 8012, 5, 50223, 196, 5, 3206, 7956, 165, 10, 2933, 11850, 10704, 180, 225, 1402, 654, 13164, 11890, 2603, 2352, 59, 37253, 820, 50223, 293, 4407, 137, 5630, 8, 681, 956, 897, 237, 1157, 4, 6, 11, 8, 9124, 5617, 150, 734, 3323, 864, 4, 571, 21034, 50223, 100, 10236, 27971, 15, 549, 1049, 5, 159, 265, 4, 13, 14, 3206, 7956, 165, 3657, 82, 332, 5484, 50223, 100, 32445, 465, 10873, 172, 4, 33, 9, 2022, 18, 45708, 12, 102, 6396, 3991, 8, 628, 4, 571, 120, 225, 1402, 654, 13164, 1672, 50223, 290, 15381, 7544, 82, 237, 1157, 4, 3206, 7956, 165, 8, 1617, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 159, 10311, 5, 15424, 490, 73, 9661, 1182, 1182, 50223, 253, 5, 30666, 8, 34124, 348, 37, 10, 2747, 660, 4, 306, 12693, 33, 4426, 11510, 82, 33, 50223, 190, 1423, 12, 3507, 34124, 1338, 1182, 50189, 32092, 36, 1182, 48870, 25177, 32589, 10082, 48870, 19594, 50191, 1088, 91, 8868, 287, 11850, 6, 50223, 201, 2866, 234, 572, 747, 28887, 6308, 723, 993, 13381, 1804, 4997, 4889, 28495, 10541, 4, 50223, 35516, 12725, 1946, 14917, 33, 1592, 4, 7, 22902, 231, 466, 1222, 22983, 1572, 2747, 8, 50223, 1297, 956, 897, 237, 1157, 5, 1050, 364, 33, 380, 12539, 12693, 9, 2630, 50244, 50223, 71, 50191, 93, 9, 7728, 4548, 993, 13381, 1804, 4997, 4889, 28495, 10541, 4, 364, 22404, 50223, 1297, 8238, 81, 5872, 1308, 7544, 5166, 16204, 16851, 185, 8012, 5, 38079, 9, 2630, 50223, 290, 38867, 5166, 3563, 28887, 6308, 723, 16, 21340, 2799, 35622, 15211, 18245, 3563, 50223, 100, 32445, 6308, 723, 15, 1924, 1182, 48870, 25177, 813, 1186, 2399, 14617, 48870, 19594, 4, 1182, 48870, 25177, 1297, 8238, 53, 1123, 190, 2782, 256, 8, 9627, 116, 9124, 48870, 19594, 4, 50223, 48870, 25177, 813, 1186, 2399, 819, 440, 9745, 48870, 19594, 4, 1182, 48870, 25177, 813, 1186, 2399, 9750, 17, 22273, 10751, 591, 48870, 19594, 4, 33, 15, 9818, 1482, 50223, 201, 1928, 10779, 4, 50223, 211, 50191, 93, 9, 7728, 4548, 41666, 14917, 4, 364, 17749, 28, 1090, 102, 42901, 4, 6, 11, 913, 50223, 6101, 34405, 4, 57, 149, 3557, 16851, 96, 1247, 1123, 7164, 78, 4, 50223, 134, 50191, 93, 9, 7728, 4548, 1592, 4, 364, 33, 380, 18757, 12693, 5166, 16204, 16851, 185, 8012, 5, 50223, 196, 5, 3206, 7956, 165, 10, 2933, 11850, 10704, 180, 225, 1402, 654, 13164, 11890, 2603, 2352, 59, 37253, 820, 50223, 293, 4407, 137, 5630, 8, 681, 956, 897, 237, 1157, 4, 6, 11, 8, 9124, 5617, 150, 734, 3323, 864, 4, 571, 21034, 50223, 100, 10236, 27971, 15, 549, 1049, 5, 159, 265, 4, 13, 14, 3206, 7956, 165, 3657, 82, 332, 5484, 50223, 100, 32445, 465, 10873, 172, 4, 33, 9, 2022, 18, 45708, 12, 102, 6396, 3991, 8, 628, 4, 571, 120, 225, 1402, 654, 13164, 1672, 50223, 290, 15381, 7544, 82, 237, 1157, 4, 3206, 7956, 165, 8, 1617, 3331, 8495, 23, 11, 4, 13, 9, 50223, 52, 854, 32589, 3515, 12, 5467, 12693, 18245, 168, 225, 1402, 654, 13164, 4852, 82, 237, 1157, 6, 23, 11, 4, 50223, 358, 40096, 4221, 7277, 168, 12539, 82, 237, 1157, 5, 50223, 259, 5, 3206, 7956, 165, 37, 10, 10260, 34823, 389, 232, 19550, 866, 31451, 190, 1971, 225, 1402, 654, 13164, 2875, 110, 50223, 28962, 31087, 7663, 5, 3206, 7956, 165, 10, 10260, 30433, 19550, 6, 517, 1154, 23402, 50223, 100, 237, 1157, 866, 225, 1402, 654, 13164, 11890, 36, 28, 17075, 8380, 161, 28503, 314, 50223, 37442, 654, 13164, 2875, 5, 50223, 159, 20024, 5, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 12256, 5885, 10, 8868, 406, 8, 119, 2557, 2186, 553, 4, 15, 349, 107, 2, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100 ]
[ 0, 5166, 16204, 16851, 185, 8012, 5, 38079, 9, 2630, 50223, 290, 38867, 5166, 3563, 28887, 6308, 723, 16, 21340, 2799, 35622, 15211, 18245, 3563, 50223, 100, 32445, 6308, 723, 15, 1924, 1182, 48870, 25177, 813, 1186, 2399, 14617, 48870, 19594, 4, 1182, 48870, 25177, 1297, 8238, 53, 1123, 190, 2782, 256, 8, 9627, 116, 9124, 48870, 19594, 4, 50223, 48870, 25177, 813, 1186, 2399, 819, 440, 9745, 48870, 19594, 4, 1182, 48870, 25177, 813, 1186, 2399, 9750, 17, 22273, 10751, 591, 48870, 19594, 4, 33, 15, 9818, 1482, 50223, 201, 1928, 10779, 4, 50223, 211, 50191, 93, 9, 7728, 4548, 41666, 14917, 4, 364, 17749, 28, 1090, 102, 42901, 4, 6, 11, 913, 50223, 6101, 34405, 4, 57, 149, 3557, 16851, 96, 1247, 1123, 7164, 78, 4, 50223, 134, 50191, 93, 9, 7728, 4548, 1592, 4, 364, 33, 380, 18757, 12693, 5166, 16204, 16851, 185, 8012, 5, 50223, 196, 5, 3206, 7956, 165, 10, 2933, 11850, 10704, 180, 225, 1402, 654, 13164, 11890, 2603, 2352, 59, 37253, 820, 50223, 293, 4407, 137, 5630, 8, 681, 956, 897, 237, 1157, 4, 6, 11, 8, 9124, 5617, 150, 734, 3323, 864, 4, 571, 21034, 50223, 100, 10236, 27971, 15, 549, 1049, 5, 159, 265, 4, 13, 14, 3206, 7956, 165, 3657, 82, 332, 5484, 50223, 100, 32445, 465, 10873, 172, 4, 33, 9, 2022, 18, 45708, 12, 102, 6396, 3991, 8, 628, 4, 571, 120, 225, 1402, 654, 13164, 1672, 50223, 290, 15381, 7544, 82, 237, 1157, 4, 3206, 7956, 165, 8, 1617, 3331, 8495, 23, 11, 4, 13, 9, 50223, 52, 854, 32589, 3515, 12, 5467, 12693, 18245, 168, 225, 1402, 654, 13164, 4852, 82, 237, 1157, 6, 23, 11, 4, 50223, 358, 40096, 4221, 7277, 168, 12539, 82, 237, 1157, 5, 50223, 259, 5, 3206, 7956, 165, 37, 10, 10260, 34823, 389, 232, 19550, 866, 31451, 190, 1971, 225, 1402, 654, 13164, 2875, 110, 50223, 28962, 31087, 7663, 5, 3206, 7956, 165, 10, 10260, 30433, 19550, 6, 517, 1154, 23402, 50223, 100, 237, 1157, 866, 225, 1402, 654, 13164, 11890, 36, 28, 17075, 8380, 161, 28503, 314, 50223, 37442, 654, 13164, 2875, 5, 50223, 159, 20024, 5, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 12256, 5885, 10, 8868, 406, 8, 119, 2557, 2186, 553, 4, 15, 349, 107, 38085, 10, 3110, 24, 3206, 7956, 453, 50223, 71, 107, 38085, 10, 3110, 24, 225, 1402, 654, 13164, 2875, 5, 50223, 196, 5, 12256, 41590, 26545, 15372, 7671, 102, 28095, 48913, 1940, 71, 34124, 190, 462, 14643, 6, 12, 50223, 702, 49667, 7, 24703, 1182, 23077, 24504, 229, 71, 638, 508, 5, 704, 253, 50209, 23592, 239, 5, 15, 5, 17, 46483, 24047, 30, 20196, 6, 50223, 143, 2909, 6, 9689, 1085, 3833, 1182, 50189, 1297, 1282, 17, 12216, 1255, 50191, 10, 17391, 50223, 328, 50223, 100, 31699, 701, 6807, 34124, 1338, 6, 82, 1182, 23077, 24504, 5708, 71, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 30773, 289, 41348, 4, 6, 242, 50223, 86, 3782, 293, 285, 8618, 7671, 16774, 3398, 28, 1090, 2, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100 ]
[ 0, 93, 9, 7728, 4548, 1592, 4, 364, 33, 380, 18757, 12693, 5166, 16204, 16851, 185, 8012, 5, 50223, 196, 5, 3206, 7956, 165, 10, 2933, 11850, 10704, 180, 225, 1402, 654, 13164, 11890, 2603, 2352, 59, 37253, 820, 50223, 293, 4407, 137, 5630, 8, 681, 956, 897, 237, 1157, 4, 6, 11, 8, 9124, 5617, 150, 734, 3323, 864, 4, 571, 21034, 50223, 100, 10236, 27971, 15, 549, 1049, 5, 159, 265, 4, 13, 14, 3206, 7956, 165, 3657, 82, 332, 5484, 50223, 100, 32445, 465, 10873, 172, 4, 33, 9, 2022, 18, 45708, 12, 102, 6396, 3991, 8, 628, 4, 571, 120, 225, 1402, 654, 13164, 1672, 50223, 290, 15381, 7544, 82, 237, 1157, 4, 3206, 7956, 165, 8, 1617, 3331, 8495, 23, 11, 4, 13, 9, 50223, 52, 854, 32589, 3515, 12, 5467, 12693, 18245, 168, 225, 1402, 654, 13164, 4852, 82, 237, 1157, 6, 23, 11, 4, 50223, 358, 40096, 4221, 7277, 168, 12539, 82, 237, 1157, 5, 50223, 259, 5, 3206, 7956, 165, 37, 10, 10260, 34823, 389, 232, 19550, 866, 31451, 190, 1971, 225, 1402, 654, 13164, 2875, 110, 50223, 28962, 31087, 7663, 5, 3206, 7956, 165, 10, 10260, 30433, 19550, 6, 517, 1154, 23402, 50223, 100, 237, 1157, 866, 225, 1402, 654, 13164, 11890, 36, 28, 17075, 8380, 161, 28503, 314, 50223, 37442, 654, 13164, 2875, 5, 50223, 159, 20024, 5, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 12256, 5885, 10, 8868, 406, 8, 119, 2557, 2186, 553, 4, 15, 349, 107, 38085, 10, 3110, 24, 3206, 7956, 453, 50223, 71, 107, 38085, 10, 3110, 24, 225, 1402, 654, 13164, 2875, 5, 50223, 196, 5, 12256, 41590, 26545, 15372, 7671, 102, 28095, 48913, 1940, 71, 34124, 190, 462, 14643, 6, 12, 50223, 702, 49667, 7, 24703, 1182, 23077, 24504, 229, 71, 638, 508, 5, 704, 253, 50209, 23592, 239, 5, 15, 5, 17, 46483, 24047, 30, 20196, 6, 50223, 143, 2909, 6, 9689, 1085, 3833, 1182, 50189, 1297, 1282, 17, 12216, 1255, 50191, 10, 17391, 50223, 328, 50223, 100, 31699, 701, 6807, 34124, 1338, 6, 82, 1182, 23077, 24504, 5708, 71, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 30773, 289, 41348, 4, 6, 242, 50223, 86, 3782, 293, 285, 8618, 7671, 16774, 3398, 28, 1090, 102, 17860, 5, 50223, 259, 5, 12256, 41590, 9, 141, 5455, 6, 40758, 36, 8380, 221, 11175, 275, 14039, 4216, 17258, 50223, 100, 47701, 462, 14643, 5, 50223, 328, 5, 695, 5012, 450, 27971, 9661, 569, 23, 13716, 18993, 450, 1377, 25312, 4, 1711, 1712, 50223, 143, 4470, 4, 12, 2524, 989, 4437, 482, 4221, 5, 50223, 266, 5, 34124, 7306, 400, 14229, 407, 4, 13, 1371, 5114, 1747, 706, 34124, 1032, 31, 30, 28095, 25312, 50223, 143, 6305, 1691, 4, 12, 102, 5467, 9, 11569, 6507, 6, 102, 15, 8345, 18577, 14476, 5, 41590, 124, 43683, 28, 50223, 190, 43064, 116, 7404, 22983, 1572, 4, 10, 14995, 43, 14451, 6, 45153, 14200, 6, 1614, 50223, 1865, 361, 3172, 406, 8, 25744, 151, 6, 23, 863, 6777, 9870, 43615, 2318, 5, 550, 7961, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 12, 5467, 12693, 18245, 168, 225, 1402, 654, 13164, 4852, 82, 237, 1157, 6, 23, 11, 4, 50223, 358, 40096, 4221, 7277, 168, 12539, 82, 237, 1157, 5, 50223, 259, 5, 3206, 7956, 165, 37, 10, 10260, 34823, 389, 232, 19550, 866, 31451, 190, 1971, 225, 1402, 654, 13164, 2875, 110, 50223, 28962, 31087, 7663, 5, 3206, 7956, 165, 10, 10260, 30433, 19550, 6, 517, 1154, 23402, 50223, 100, 237, 1157, 866, 225, 1402, 654, 13164, 11890, 36, 28, 17075, 8380, 161, 28503, 314, 50223, 37442, 654, 13164, 2875, 5, 50223, 159, 20024, 5, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 12256, 5885, 10, 8868, 406, 8, 119, 2557, 2186, 553, 4, 15, 349, 107, 38085, 10, 3110, 24, 3206, 7956, 453, 50223, 71, 107, 38085, 10, 3110, 24, 225, 1402, 654, 13164, 2875, 5, 50223, 196, 5, 12256, 41590, 26545, 15372, 7671, 102, 28095, 48913, 1940, 71, 34124, 190, 462, 14643, 6, 12, 50223, 702, 49667, 7, 24703, 1182, 23077, 24504, 229, 71, 638, 508, 5, 704, 253, 50209, 23592, 239, 5, 15, 5, 17, 46483, 24047, 30, 20196, 6, 50223, 143, 2909, 6, 9689, 1085, 3833, 1182, 50189, 1297, 1282, 17, 12216, 1255, 50191, 10, 17391, 50223, 328, 50223, 100, 31699, 701, 6807, 34124, 1338, 6, 82, 1182, 23077, 24504, 5708, 71, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 30773, 289, 41348, 4, 6, 242, 50223, 86, 3782, 293, 285, 8618, 7671, 16774, 3398, 28, 1090, 102, 17860, 5, 50223, 259, 5, 12256, 41590, 9, 141, 5455, 6, 40758, 36, 8380, 221, 11175, 275, 14039, 4216, 17258, 50223, 100, 47701, 462, 14643, 5, 50223, 328, 5, 695, 5012, 450, 27971, 9661, 569, 23, 13716, 18993, 450, 1377, 25312, 4, 1711, 1712, 50223, 143, 4470, 4, 12, 2524, 989, 4437, 482, 4221, 5, 50223, 266, 5, 34124, 7306, 400, 14229, 407, 4, 13, 1371, 5114, 1747, 706, 34124, 1032, 31, 30, 28095, 25312, 50223, 143, 6305, 1691, 4, 12, 102, 5467, 9, 11569, 6507, 6, 102, 15, 8345, 18577, 14476, 5, 41590, 124, 43683, 28, 50223, 190, 43064, 116, 7404, 22983, 1572, 4, 10, 14995, 43, 14451, 6, 45153, 14200, 6, 1614, 50223, 1865, 361, 3172, 406, 8, 25744, 151, 6, 23, 863, 6777, 9870, 43615, 2318, 5, 550, 7961, 7663, 12, 1861, 149, 50223, 34908, 48941, 1473, 5114, 407, 5, 50223, 32, 3701, 4, 864, 50223, 225, 1402, 654, 13164, 1672, 1182, 1182, 50244, 1182, 3206, 7956, 165, 1182, 1182, 50244, 50223, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 1182, 50223, 212, 658, 1182, 48870, 25877, 9730, 1051, 8840, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 107, 38085, 10, 3110, 24, 225, 1402, 654, 13164, 2875, 5, 50223, 196, 5, 12256, 41590, 26545, 15372, 7671, 102, 28095, 48913, 1940, 71, 34124, 190, 462, 14643, 6, 12, 50223, 702, 49667, 7, 24703, 1182, 23077, 24504, 229, 71, 638, 508, 5, 704, 253, 50209, 23592, 239, 5, 15, 5, 17, 46483, 24047, 30, 20196, 6, 50223, 143, 2909, 6, 9689, 1085, 3833, 1182, 50189, 1297, 1282, 17, 12216, 1255, 50191, 10, 17391, 50223, 328, 50223, 100, 31699, 701, 6807, 34124, 1338, 6, 82, 1182, 23077, 24504, 5708, 71, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 30773, 289, 41348, 4, 6, 242, 50223, 86, 3782, 293, 285, 8618, 7671, 16774, 3398, 28, 1090, 102, 17860, 5, 50223, 259, 5, 12256, 41590, 9, 141, 5455, 6, 40758, 36, 8380, 221, 11175, 275, 14039, 4216, 17258, 50223, 100, 47701, 462, 14643, 5, 50223, 328, 5, 695, 5012, 450, 27971, 9661, 569, 23, 13716, 18993, 450, 1377, 25312, 4, 1711, 1712, 50223, 143, 4470, 4, 12, 2524, 989, 4437, 482, 4221, 5, 50223, 266, 5, 34124, 7306, 400, 14229, 407, 4, 13, 1371, 5114, 1747, 706, 34124, 1032, 31, 30, 28095, 25312, 50223, 143, 6305, 1691, 4, 12, 102, 5467, 9, 11569, 6507, 6, 102, 15, 8345, 18577, 14476, 5, 41590, 124, 43683, 28, 50223, 190, 43064, 116, 7404, 22983, 1572, 4, 10, 14995, 43, 14451, 6, 45153, 14200, 6, 1614, 50223, 1865, 361, 3172, 406, 8, 25744, 151, 6, 23, 863, 6777, 9870, 43615, 2318, 5, 550, 7961, 7663, 12, 1861, 149, 50223, 34908, 48941, 1473, 5114, 407, 5, 50223, 32, 3701, 4, 864, 50223, 225, 1402, 654, 13164, 1672, 1182, 1182, 50244, 1182, 3206, 7956, 165, 1182, 1182, 50244, 50223, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 1182, 50223, 212, 658, 1182, 48870, 25877, 9730, 1051, 8840, 10202, 15078, 9850, 19340, 4394, 2564, 40582, 1970, 1182, 1182, 50223, 315, 8049, 5, 5176, 5, 1086, 24003, 5176, 5, 4098, 212, 309, 359, 4, 19198, 551, 1858, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 40758, 36, 8380, 221, 11175, 275, 14039, 4216, 17258, 50223, 100, 47701, 462, 14643, 5, 50223, 328, 5, 695, 5012, 450, 27971, 9661, 569, 23, 13716, 18993, 450, 1377, 25312, 4, 1711, 1712, 50223, 143, 4470, 4, 12, 2524, 989, 4437, 482, 4221, 5, 50223, 266, 5, 34124, 7306, 400, 14229, 407, 4, 13, 1371, 5114, 1747, 706, 34124, 1032, 31, 30, 28095, 25312, 50223, 143, 6305, 1691, 4, 12, 102, 5467, 9, 11569, 6507, 6, 102, 15, 8345, 18577, 14476, 5, 41590, 124, 43683, 28, 50223, 190, 43064, 116, 7404, 22983, 1572, 4, 10, 14995, 43, 14451, 6, 45153, 14200, 6, 1614, 50223, 1865, 361, 3172, 406, 8, 25744, 151, 6, 23, 863, 6777, 9870, 43615, 2318, 5, 550, 7961, 7663, 12, 1861, 149, 50223, 34908, 48941, 1473, 5114, 407, 5, 50223, 32, 3701, 4, 864, 50223, 225, 1402, 654, 13164, 1672, 1182, 1182, 50244, 1182, 3206, 7956, 165, 1182, 1182, 50244, 50223, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 1182, 50223, 212, 658, 1182, 48870, 25877, 9730, 1051, 8840, 10202, 15078, 9850, 19340, 4394, 2564, 40582, 1970, 1182, 1182, 50223, 315, 8049, 5, 5176, 5, 1086, 24003, 5176, 5, 4098, 212, 309, 359, 4, 19198, 551, 1858, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 5114, 407, 5, 50223, 32, 3701, 4, 864, 50223, 225, 1402, 654, 13164, 1672, 1182, 1182, 50244, 1182, 3206, 7956, 165, 1182, 1182, 50244, 50223, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 1182, 50223, 212, 658, 1182, 48870, 25877, 9730, 1051, 8840, 10202, 15078, 9850, 19340, 4394, 2564, 40582, 1970, 1182, 1182, 50223, 315, 8049, 5, 5176, 5, 1086, 24003, 5176, 5, 4098, 212, 309, 359, 4, 19198, 551, 1858, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 1182, 1182, 50223, 315, 8049, 5, 5176, 5, 1086, 24003, 5176, 5, 4098, 212, 309, 359, 4, 19198, 551, 1858, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 1182, 41590, 17, 32570, 8869, 639, 1134, 1253, 1182, 44676, 27, 1508, 2659, 27, 35062, 1182, 43683, 82, 1182, 23077, 24504, 9924, 259, 1182, 48870, 25877, 352, 5466, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 30773, 289, 41348, 8, 27477, 4083, 6, 1182, 23077, 24504, 800, 638, 508, 5, 40062, 50209, 10673, 50223, 155, 5, 100, 5, 17, 15762, 22599, 6, 17, 2909, 6, 9689, 638, 508, 5, 2345, 266, 50209, 34836, 10833, 5, 17, 12828, 18947, 31545, 8, 27477, 4083, 37442, 654, 13164, 1672, 1182, 1182, 50244, 15650, 10107, 1078, 1182, 1182, 50223, 34112, 3288, 50244, 36680, 3048, 5, 41017, 11545, 107, 4, 563, 2247, 9452, 10107, 1078, 1182, 1182, 50223, 48573, 194, 4386, 135, 7392, 50244, 1182, 5176, 5, 2380, 233, 177, 1378, 4, 9861, 1114, 1182, 1182, 50223, 272, 24069, 50244, 2985, 6513, 2621, 1164, 1182, 1182, 50223, 182, 15563, 50244, 5476, 8956, 8291, 6799, 1182, 1182, 50223, 12959, 1034, 5668, 50244, 3585, 30547, 692, 4, 6, 5, 56, 551, 1182, 1182, 50223, 27418, 2477, 50244, 3218, 1508, 6981, 668, 2985, 668, 974, 328, 950, 3294, 429, 4348, 259, 1182, 1182, 50223, 1025, 28978, 11803, 5, 50244, 1182, 563, 10668, 50209, 266, 13249, 196, 704, 444, 1182, 1182, 50223, 378, 27, 4094, 50244, 1182, 14742, 24644, 50249, 24004, 3549, 209, 5, 334, 1182, 1182, 50223, 50189, 32092, 36, 1182, 48870, 25177, 37442, 654, 13164, 1672, 48870, 19594, 8, 34448, 7837, 50191, 50223, 1514, 7956, 165, 1182, 1182, 50244, 1161, 7609, 35165, 1182, 1182, 50223, 8757, 44975, 50223, 10317, 73, 1253, 50244, 50223, 50189, 32092, 36, 1182, 48870, 25177, 1514, 7956, 165, 48870, 19594, 8, 34448, 7837, 50191, 50223, 50189, 37442, 654, 13164, 1672, 6, 3206, 7956, 165, 544, 393, 16, 19, 1182, 48870, 19594, 100, 32445, 7306, 400, 48870, 19594, 50191, 5, 50223, 107, 5, 4458, 6666, 1157, 1182, 1182, 50223, 253, 5, 253, 5, 225, 1402, 654, 13164, 1672, 19, 16201, 38393, 536, 305, 17998, 133, 2031, 8, 2185, 638, 508, 5, 40062, 50209, 10673, 239, 5, 100, 5, 17, 15762, 22599, 50223, 190, 27477, 4083, 1182, 50189, 32092, 36, 1182, 48870, 25177, 10330, 48870, 19594, 50191, 7509, 2042, 8869, 248, 488, 7, 25401, 4418, 44092, 269, 33, 50223, 9788, 586, 8224, 269, 8869, 248, 488, 1253, 8822, 40499, 5, 37232, 1222, 8869, 639, 1134, 31, 50244, 50223, 1025, 28978, 50244, 1182, 8822, 40499, 1182, 22321, 286, 50244, 1182, 107, 1182, 1182, 50223, 1816, 147, 28388, 50244, 1182, 12669, 205, 2201, 1182, 36868, 624, 50244, 1182, 3317, 1182, 1182, 50223, 16085, 104, 10627, 50244, 1182, 1126, 3460, 2282, 1182, 4088, 50244, 1182, 727, 1182, 1182, 50223, 318, 209, 781, 1078, 50244, 1182, 40443, 1182, 1182, 50223, 253, 5, 196, 5, 159, 29843, 31901, 31, 4042, 691, 11139, 172, 27987, 656, 50244, 50223, 276, 5, 234, 5, 258, 4520, 6, 9354, 19318, 9728, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 1182, 5176, 5, 2380, 233, 177, 1378, 4, 9861, 1114, 1182, 1182, 50223, 272, 24069, 50244, 2985, 6513, 2621, 1164, 1182, 1182, 50223, 182, 15563, 50244, 5476, 8956, 8291, 6799, 1182, 1182, 50223, 12959, 1034, 5668, 50244, 3585, 30547, 692, 4, 6, 5, 56, 551, 1182, 1182, 50223, 27418, 2477, 50244, 3218, 1508, 6981, 668, 2985, 668, 974, 328, 950, 3294, 429, 4348, 259, 1182, 1182, 50223, 1025, 28978, 11803, 5, 50244, 1182, 563, 10668, 50209, 266, 13249, 196, 704, 444, 1182, 1182, 50223, 378, 27, 4094, 50244, 1182, 14742, 24644, 50249, 24004, 3549, 209, 5, 334, 1182, 1182, 50223, 50189, 32092, 36, 1182, 48870, 25177, 37442, 654, 13164, 1672, 48870, 19594, 8, 34448, 7837, 50191, 50223, 1514, 7956, 165, 1182, 1182, 50244, 1161, 7609, 35165, 1182, 1182, 50223, 8757, 44975, 50223, 10317, 73, 1253, 50244, 50223, 50189, 32092, 36, 1182, 48870, 25177, 1514, 7956, 165, 48870, 19594, 8, 34448, 7837, 50191, 50223, 50189, 37442, 654, 13164, 1672, 6, 3206, 7956, 165, 544, 393, 16, 19, 1182, 48870, 19594, 100, 32445, 7306, 400, 48870, 19594, 50191, 5, 50223, 107, 5, 4458, 6666, 1157, 1182, 1182, 50223, 253, 5, 253, 5, 225, 1402, 654, 13164, 1672, 19, 16201, 38393, 536, 305, 17998, 133, 2031, 8, 2185, 638, 508, 5, 40062, 50209, 10673, 239, 5, 100, 5, 17, 15762, 22599, 50223, 190, 27477, 4083, 1182, 50189, 32092, 36, 1182, 48870, 25177, 10330, 48870, 19594, 50191, 7509, 2042, 8869, 248, 488, 7, 25401, 4418, 44092, 269, 33, 50223, 9788, 586, 8224, 269, 8869, 248, 488, 1253, 8822, 40499, 5, 37232, 1222, 8869, 639, 1134, 31, 50244, 50223, 1025, 28978, 50244, 1182, 8822, 40499, 1182, 22321, 286, 50244, 1182, 107, 1182, 1182, 50223, 1816, 147, 28388, 50244, 1182, 12669, 205, 2201, 1182, 36868, 624, 50244, 1182, 3317, 1182, 1182, 50223, 16085, 104, 10627, 50244, 1182, 1126, 3460, 2282, 1182, 4088, 50244, 1182, 727, 1182, 1182, 50223, 318, 209, 781, 1078, 50244, 1182, 40443, 1182, 1182, 50223, 253, 5, 196, 5, 159, 29843, 31901, 31, 4042, 691, 11139, 172, 27987, 656, 50244, 50223, 276, 5, 234, 5, 258, 4520, 6, 9354, 19318, 9728, 19318, 23896, 50223, 107, 1182, 1182, 28296, 21693, 212, 21105, 2892, 15732, 1182, 1182, 50223, 119, 1182, 1182, 6464, 7609, 314, 1489, 1182, 1182, 1182, 50223, 119, 5, 4280, 71, 34345, 1182, 1182, 50223, 196, 5, 253, 5, 225, 1402, 654, 13164, 1672, 29897, 7509, 2042, 8869, 248, 488, 29, 1182, 3317, 5, 10044, 5, 1508, 2659, 1182, 7, 1785, 25066, 2224, 5, 50223, 150, 5, 3206, 7956, 73, 1182, 1182, 50223, 259, 5, 253, 5, 3206, 7956, 165, 10, 2933, 3020, 34543, 82, 3643, 32175, 9273, 11044, 4, 649, 5, 250, 5, 11009, 52, 9735, 168, 50223, 86, 16044, 449, 2445, 129, 10107, 1078, 4, 744, 9, 39495, 35800, 1350, 5111, 38393, 536, 305, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 7837, 50191, 50223, 1514, 7956, 165, 1182, 1182, 50244, 1161, 7609, 35165, 1182, 1182, 50223, 8757, 44975, 50223, 10317, 73, 1253, 50244, 50223, 50189, 32092, 36, 1182, 48870, 25177, 1514, 7956, 165, 48870, 19594, 8, 34448, 7837, 50191, 50223, 50189, 37442, 654, 13164, 1672, 6, 3206, 7956, 165, 544, 393, 16, 19, 1182, 48870, 19594, 100, 32445, 7306, 400, 48870, 19594, 50191, 5, 50223, 107, 5, 4458, 6666, 1157, 1182, 1182, 50223, 253, 5, 253, 5, 225, 1402, 654, 13164, 1672, 19, 16201, 38393, 536, 305, 17998, 133, 2031, 8, 2185, 638, 508, 5, 40062, 50209, 10673, 239, 5, 100, 5, 17, 15762, 22599, 50223, 190, 27477, 4083, 1182, 50189, 32092, 36, 1182, 48870, 25177, 10330, 48870, 19594, 50191, 7509, 2042, 8869, 248, 488, 7, 25401, 4418, 44092, 269, 33, 50223, 9788, 586, 8224, 269, 8869, 248, 488, 1253, 8822, 40499, 5, 37232, 1222, 8869, 639, 1134, 31, 50244, 50223, 1025, 28978, 50244, 1182, 8822, 40499, 1182, 22321, 286, 50244, 1182, 107, 1182, 1182, 50223, 1816, 147, 28388, 50244, 1182, 12669, 205, 2201, 1182, 36868, 624, 50244, 1182, 3317, 1182, 1182, 50223, 16085, 104, 10627, 50244, 1182, 1126, 3460, 2282, 1182, 4088, 50244, 1182, 727, 1182, 1182, 50223, 318, 209, 781, 1078, 50244, 1182, 40443, 1182, 1182, 50223, 253, 5, 196, 5, 159, 29843, 31901, 31, 4042, 691, 11139, 172, 27987, 656, 50244, 50223, 276, 5, 234, 5, 258, 4520, 6, 9354, 19318, 9728, 19318, 23896, 50223, 107, 1182, 1182, 28296, 21693, 212, 21105, 2892, 15732, 1182, 1182, 50223, 119, 1182, 1182, 6464, 7609, 314, 1489, 1182, 1182, 1182, 50223, 119, 5, 4280, 71, 34345, 1182, 1182, 50223, 196, 5, 253, 5, 225, 1402, 654, 13164, 1672, 29897, 7509, 2042, 8869, 248, 488, 29, 1182, 3317, 5, 10044, 5, 1508, 2659, 1182, 7, 1785, 25066, 2224, 5, 50223, 150, 5, 3206, 7956, 73, 1182, 1182, 50223, 259, 5, 253, 5, 3206, 7956, 165, 10, 2933, 3020, 34543, 82, 3643, 32175, 9273, 11044, 4, 649, 5, 250, 5, 11009, 52, 9735, 168, 50223, 86, 16044, 449, 2445, 129, 10107, 1078, 4, 744, 9, 39495, 35800, 1350, 5111, 38393, 536, 305, 1114, 10107, 1078, 5, 50223, 259, 5, 196, 5, 34124, 7306, 400, 9, 6387, 4, 13, 8, 265, 93, 8433, 30, 2909, 11044, 4, 1361, 6332, 9929, 1459, 24, 50223, 43071, 282, 4139, 34345, 6, 34429, 1301, 4, 29897, 1672, 55, 928, 40771, 2290, 6594, 50223, 96, 7956, 168, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 4, 13, 2352, 4139, 34345, 17733, 7509, 2042, 67, 102, 16795, 1623, 50223, 207, 5, 24766, 177, 6, 3488, 29897, 2875, 1182, 1182, 50223, 328, 5, 253, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 3334, 303, 15778, 2193, 34345, 1228, 30, 8869, 6440, 37311, 8, 2332, 12, 42297, 50223, 6305, 1848, 18596, 6, 13242, 1052, 9, 9334, 28693, 18, 8869, 639, 1134, 640, 4927, 4, 93, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 33, 50223, 9788, 586, 8224, 269, 8869, 248, 488, 1253, 8822, 40499, 5, 37232, 1222, 8869, 639, 1134, 31, 50244, 50223, 1025, 28978, 50244, 1182, 8822, 40499, 1182, 22321, 286, 50244, 1182, 107, 1182, 1182, 50223, 1816, 147, 28388, 50244, 1182, 12669, 205, 2201, 1182, 36868, 624, 50244, 1182, 3317, 1182, 1182, 50223, 16085, 104, 10627, 50244, 1182, 1126, 3460, 2282, 1182, 4088, 50244, 1182, 727, 1182, 1182, 50223, 318, 209, 781, 1078, 50244, 1182, 40443, 1182, 1182, 50223, 253, 5, 196, 5, 159, 29843, 31901, 31, 4042, 691, 11139, 172, 27987, 656, 50244, 50223, 276, 5, 234, 5, 258, 4520, 6, 9354, 19318, 9728, 19318, 23896, 50223, 107, 1182, 1182, 28296, 21693, 212, 21105, 2892, 15732, 1182, 1182, 50223, 119, 1182, 1182, 6464, 7609, 314, 1489, 1182, 1182, 1182, 50223, 119, 5, 4280, 71, 34345, 1182, 1182, 50223, 196, 5, 253, 5, 225, 1402, 654, 13164, 1672, 29897, 7509, 2042, 8869, 248, 488, 29, 1182, 3317, 5, 10044, 5, 1508, 2659, 1182, 7, 1785, 25066, 2224, 5, 50223, 150, 5, 3206, 7956, 73, 1182, 1182, 50223, 259, 5, 253, 5, 3206, 7956, 165, 10, 2933, 3020, 34543, 82, 3643, 32175, 9273, 11044, 4, 649, 5, 250, 5, 11009, 52, 9735, 168, 50223, 86, 16044, 449, 2445, 129, 10107, 1078, 4, 744, 9, 39495, 35800, 1350, 5111, 38393, 536, 305, 1114, 10107, 1078, 5, 50223, 259, 5, 196, 5, 34124, 7306, 400, 9, 6387, 4, 13, 8, 265, 93, 8433, 30, 2909, 11044, 4, 1361, 6332, 9929, 1459, 24, 50223, 43071, 282, 4139, 34345, 6, 34429, 1301, 4, 29897, 1672, 55, 928, 40771, 2290, 6594, 50223, 96, 7956, 168, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 4, 13, 2352, 4139, 34345, 17733, 7509, 2042, 67, 102, 16795, 1623, 50223, 207, 5, 24766, 177, 6, 3488, 29897, 2875, 1182, 1182, 50223, 328, 5, 253, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 3334, 303, 15778, 2193, 34345, 1228, 30, 8869, 6440, 37311, 8, 2332, 12, 42297, 50223, 6305, 1848, 18596, 6, 13242, 1052, 9, 9334, 28693, 18, 8869, 639, 1134, 640, 4927, 4, 93, 10, 740, 50223, 6247, 702, 45209, 3334, 34891, 38393, 536, 305, 5, 267, 3249, 5395, 12701, 10, 16201, 38393, 536, 305, 50223, 1776, 30763, 3734, 11850, 6603, 7509, 453, 50245, 17, 34, 6252, 28931, 12701, 16201, 38393, 536, 305, 48, 50223, 6247, 702, 45209, 11850, 6603, 7509, 453, 5, 50223, 328, 5, 196, 5, 30010, 38393, 536, 305, 10, 2933, 3734, 16069, 7509, 453, 4, 13, 28013, 591, 19917, 4, 23, 376, 10, 34543, 50223, 290, 5012, 287, 4, 1361, 16, 3150, 40001, 5931, 9019, 7, 13330, 27541, 12253, 42441, 8869, 639, 1134, 5, 50223, 229, 5, 24766, 177, 6, 3488, 7509, 453, 1182, 1182, 50223, 266, 5, 253, 5, 3206, 7956, 165, 8869, 639, 1134, 10, 2933, 8764, 8869, 248, 488, 8, 2332, 12, 42297, 25455, 18596, 4, 50223, 96, 7956, 185, 21737, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 28296, 21693, 212, 21105, 2892, 15732, 1182, 1182, 50223, 119, 1182, 1182, 6464, 7609, 314, 1489, 1182, 1182, 1182, 50223, 119, 5, 4280, 71, 34345, 1182, 1182, 50223, 196, 5, 253, 5, 225, 1402, 654, 13164, 1672, 29897, 7509, 2042, 8869, 248, 488, 29, 1182, 3317, 5, 10044, 5, 1508, 2659, 1182, 7, 1785, 25066, 2224, 5, 50223, 150, 5, 3206, 7956, 73, 1182, 1182, 50223, 259, 5, 253, 5, 3206, 7956, 165, 10, 2933, 3020, 34543, 82, 3643, 32175, 9273, 11044, 4, 649, 5, 250, 5, 11009, 52, 9735, 168, 50223, 86, 16044, 449, 2445, 129, 10107, 1078, 4, 744, 9, 39495, 35800, 1350, 5111, 38393, 536, 305, 1114, 10107, 1078, 5, 50223, 259, 5, 196, 5, 34124, 7306, 400, 9, 6387, 4, 13, 8, 265, 93, 8433, 30, 2909, 11044, 4, 1361, 6332, 9929, 1459, 24, 50223, 43071, 282, 4139, 34345, 6, 34429, 1301, 4, 29897, 1672, 55, 928, 40771, 2290, 6594, 50223, 96, 7956, 168, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 4, 13, 2352, 4139, 34345, 17733, 7509, 2042, 67, 102, 16795, 1623, 50223, 207, 5, 24766, 177, 6, 3488, 29897, 2875, 1182, 1182, 50223, 328, 5, 253, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 3334, 303, 15778, 2193, 34345, 1228, 30, 8869, 6440, 37311, 8, 2332, 12, 42297, 50223, 6305, 1848, 18596, 6, 13242, 1052, 9, 9334, 28693, 18, 8869, 639, 1134, 640, 4927, 4, 93, 10, 740, 50223, 6247, 702, 45209, 3334, 34891, 38393, 536, 305, 5, 267, 3249, 5395, 12701, 10, 16201, 38393, 536, 305, 50223, 1776, 30763, 3734, 11850, 6603, 7509, 453, 50245, 17, 34, 6252, 28931, 12701, 16201, 38393, 536, 305, 48, 50223, 6247, 702, 45209, 11850, 6603, 7509, 453, 5, 50223, 328, 5, 196, 5, 30010, 38393, 536, 305, 10, 2933, 3734, 16069, 7509, 453, 4, 13, 28013, 591, 19917, 4, 23, 376, 10, 34543, 50223, 290, 5012, 287, 4, 1361, 16, 3150, 40001, 5931, 9019, 7, 13330, 27541, 12253, 42441, 8869, 639, 1134, 5, 50223, 229, 5, 24766, 177, 6, 3488, 7509, 453, 1182, 1182, 50223, 266, 5, 253, 5, 3206, 7956, 165, 8869, 639, 1134, 10, 2933, 8764, 8869, 248, 488, 8, 2332, 12, 42297, 25455, 18596, 4, 50223, 96, 7956, 185, 21737, 6, 5367, 4701, 35550, 38393, 536, 305, 5, 225, 1402, 654, 12702, 8869, 248, 488, 48, 15575, 8, 50223, 1656, 40747, 7, 2101, 2183, 6, 11850, 10704, 180, 47978, 38393, 536, 305, 306, 1458, 1049, 4, 19, 50223, 100, 24817, 15138, 6, 708, 31837, 4, 39, 31, 740, 8, 1423, 12, 3507, 21737, 7, 3242, 21403, 50223, 205, 2201, 639, 1134, 5, 50223, 266, 5, 196, 5, 36067, 8764, 8869, 248, 488, 6783, 7509, 2042, 10550, 4456, 20769, 7509, 116, 1157, 5, 50223, 266, 5, 259, 5, 3206, 7956, 165, 37, 10, 10260, 11317, 34345, 43094, 5582, 6165, 5, 50223, 266, 5, 328, 5, 3206, 7956, 165, 8, 2185, 638, 508, 5, 23834, 50209, 7037, 239, 5, 15, 5, 17, 3556, 1725, 1049, 8, 4083, 6284, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 34124, 7306, 400, 9, 6387, 4, 13, 8, 265, 93, 8433, 30, 2909, 11044, 4, 1361, 6332, 9929, 1459, 24, 50223, 43071, 282, 4139, 34345, 6, 34429, 1301, 4, 29897, 1672, 55, 928, 40771, 2290, 6594, 50223, 96, 7956, 168, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 4, 13, 2352, 4139, 34345, 17733, 7509, 2042, 67, 102, 16795, 1623, 50223, 207, 5, 24766, 177, 6, 3488, 29897, 2875, 1182, 1182, 50223, 328, 5, 253, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 3334, 303, 15778, 2193, 34345, 1228, 30, 8869, 6440, 37311, 8, 2332, 12, 42297, 50223, 6305, 1848, 18596, 6, 13242, 1052, 9, 9334, 28693, 18, 8869, 639, 1134, 640, 4927, 4, 93, 10, 740, 50223, 6247, 702, 45209, 3334, 34891, 38393, 536, 305, 5, 267, 3249, 5395, 12701, 10, 16201, 38393, 536, 305, 50223, 1776, 30763, 3734, 11850, 6603, 7509, 453, 50245, 17, 34, 6252, 28931, 12701, 16201, 38393, 536, 305, 48, 50223, 6247, 702, 45209, 11850, 6603, 7509, 453, 5, 50223, 328, 5, 196, 5, 30010, 38393, 536, 305, 10, 2933, 3734, 16069, 7509, 453, 4, 13, 28013, 591, 19917, 4, 23, 376, 10, 34543, 50223, 290, 5012, 287, 4, 1361, 16, 3150, 40001, 5931, 9019, 7, 13330, 27541, 12253, 42441, 8869, 639, 1134, 5, 50223, 229, 5, 24766, 177, 6, 3488, 7509, 453, 1182, 1182, 50223, 266, 5, 253, 5, 3206, 7956, 165, 8869, 639, 1134, 10, 2933, 8764, 8869, 248, 488, 8, 2332, 12, 42297, 25455, 18596, 4, 50223, 96, 7956, 185, 21737, 6, 5367, 4701, 35550, 38393, 536, 305, 5, 225, 1402, 654, 12702, 8869, 248, 488, 48, 15575, 8, 50223, 1656, 40747, 7, 2101, 2183, 6, 11850, 10704, 180, 47978, 38393, 536, 305, 306, 1458, 1049, 4, 19, 50223, 100, 24817, 15138, 6, 708, 31837, 4, 39, 31, 740, 8, 1423, 12, 3507, 21737, 7, 3242, 21403, 50223, 205, 2201, 639, 1134, 5, 50223, 266, 5, 196, 5, 36067, 8764, 8869, 248, 488, 6783, 7509, 2042, 10550, 4456, 20769, 7509, 116, 1157, 5, 50223, 266, 5, 259, 5, 3206, 7956, 165, 37, 10, 10260, 11317, 34345, 43094, 5582, 6165, 5, 50223, 266, 5, 328, 5, 3206, 7956, 165, 8, 2185, 638, 508, 5, 23834, 50209, 7037, 239, 5, 15, 5, 17, 3556, 1725, 1049, 8, 4083, 6284, 3333, 23087, 4, 50223, 358, 14368, 41, 59, 2522, 1222, 16951, 8, 1423, 12, 3507, 7509, 185, 21737, 5601, 11011, 16201, 50223, 379, 7584, 536, 305, 8, 601, 502, 1383, 28, 1785, 8176, 176, 7, 5571, 4224, 1692, 6, 21361, 9115, 50223, 465, 40333, 1459, 15, 237, 7509, 116, 1157, 5, 50223, 266, 5, 266, 5, 3206, 7956, 165, 14368, 12, 18359, 221, 13458, 636, 2144, 725, 4, 7, 34517, 380, 7, 232, 8869, 248, 16300, 24, 5204, 50223, 929, 173, 736, 1048, 13415, 4563, 10003, 8869, 422, 1220, 4, 18, 20672, 3154, 8372, 561, 23, 17785, 4, 13, 8433, 30, 50223, 88, 1330, 996, 8869, 639, 23724, 18, 8215, 2447, 5, 50223, 352, 5, 2347, 937, 34345, 1182, 1182, 50223, 444, 5, 253, 5, 225, 1402, 654, 13164, 2, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 267, 3249, 5395, 12701, 10, 16201, 38393, 536, 305, 50223, 1776, 30763, 3734, 11850, 6603, 7509, 453, 50245, 17, 34, 6252, 28931, 12701, 16201, 38393, 536, 305, 48, 50223, 6247, 702, 45209, 11850, 6603, 7509, 453, 5, 50223, 328, 5, 196, 5, 30010, 38393, 536, 305, 10, 2933, 3734, 16069, 7509, 453, 4, 13, 28013, 591, 19917, 4, 23, 376, 10, 34543, 50223, 290, 5012, 287, 4, 1361, 16, 3150, 40001, 5931, 9019, 7, 13330, 27541, 12253, 42441, 8869, 639, 1134, 5, 50223, 229, 5, 24766, 177, 6, 3488, 7509, 453, 1182, 1182, 50223, 266, 5, 253, 5, 3206, 7956, 165, 8869, 639, 1134, 10, 2933, 8764, 8869, 248, 488, 8, 2332, 12, 42297, 25455, 18596, 4, 50223, 96, 7956, 185, 21737, 6, 5367, 4701, 35550, 38393, 536, 305, 5, 225, 1402, 654, 12702, 8869, 248, 488, 48, 15575, 8, 50223, 1656, 40747, 7, 2101, 2183, 6, 11850, 10704, 180, 47978, 38393, 536, 305, 306, 1458, 1049, 4, 19, 50223, 100, 24817, 15138, 6, 708, 31837, 4, 39, 31, 740, 8, 1423, 12, 3507, 21737, 7, 3242, 21403, 50223, 205, 2201, 639, 1134, 5, 50223, 266, 5, 196, 5, 36067, 8764, 8869, 248, 488, 6783, 7509, 2042, 10550, 4456, 20769, 7509, 116, 1157, 5, 50223, 266, 5, 259, 5, 3206, 7956, 165, 37, 10, 10260, 11317, 34345, 43094, 5582, 6165, 5, 50223, 266, 5, 328, 5, 3206, 7956, 165, 8, 2185, 638, 508, 5, 23834, 50209, 7037, 239, 5, 15, 5, 17, 3556, 1725, 1049, 8, 4083, 6284, 3333, 23087, 4, 50223, 358, 14368, 41, 59, 2522, 1222, 16951, 8, 1423, 12, 3507, 7509, 185, 21737, 5601, 11011, 16201, 50223, 379, 7584, 536, 305, 8, 601, 502, 1383, 28, 1785, 8176, 176, 7, 5571, 4224, 1692, 6, 21361, 9115, 50223, 465, 40333, 1459, 15, 237, 7509, 116, 1157, 5, 50223, 266, 5, 266, 5, 3206, 7956, 165, 14368, 12, 18359, 221, 13458, 636, 2144, 725, 4, 7, 34517, 380, 7, 232, 8869, 248, 16300, 24, 5204, 50223, 929, 173, 736, 1048, 13415, 4563, 10003, 8869, 422, 1220, 4, 18, 20672, 3154, 8372, 561, 23, 17785, 4, 13, 8433, 30, 50223, 88, 1330, 996, 8869, 639, 23724, 18, 8215, 2447, 5, 50223, 352, 5, 2347, 937, 34345, 1182, 1182, 50223, 444, 5, 253, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 31827, 7509, 176, 3305, 36, 82, 1182, 23077, 24504, 894, 20910, 5, 50223, 444, 5, 196, 5, 1504, 25808, 7509, 453, 8869, 639, 1134, 55, 67, 11659, 928, 7, 29218, 1618, 7509, 116, 1157, 7, 8869, 248, 50223, 22562, 2069, 37741, 50245, 93, 10, 13975, 1648, 85, 4, 779, 37741, 2069, 4, 95, 9, 14140, 254, 19, 2810, 5, 4458, 11659, 928, 7, 50223, 1865, 361, 3172, 282, 7509, 116, 1157, 375, 10381, 5617, 18, 969, 509, 29, 23896, 7509, 453, 8869, 639, 1134, 5, 50223, 429, 5, 115, 2866, 14482, 1182, 1182, 50223, 497, 5, 253, 5, 3023, 41303, 25312, 4, 14492, 29, 25312, 4, 11175, 81, 30, 34124, 348, 4, 18045, 4, 30375, 7, 28013, 1701, 12621, 4, 23, 376, 50223, 278, 2, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 38393, 536, 305, 5, 225, 1402, 654, 12702, 8869, 248, 488, 48, 15575, 8, 50223, 1656, 40747, 7, 2101, 2183, 6, 11850, 10704, 180, 47978, 38393, 536, 305, 306, 1458, 1049, 4, 19, 50223, 100, 24817, 15138, 6, 708, 31837, 4, 39, 31, 740, 8, 1423, 12, 3507, 21737, 7, 3242, 21403, 50223, 205, 2201, 639, 1134, 5, 50223, 266, 5, 196, 5, 36067, 8764, 8869, 248, 488, 6783, 7509, 2042, 10550, 4456, 20769, 7509, 116, 1157, 5, 50223, 266, 5, 259, 5, 3206, 7956, 165, 37, 10, 10260, 11317, 34345, 43094, 5582, 6165, 5, 50223, 266, 5, 328, 5, 3206, 7956, 165, 8, 2185, 638, 508, 5, 23834, 50209, 7037, 239, 5, 15, 5, 17, 3556, 1725, 1049, 8, 4083, 6284, 3333, 23087, 4, 50223, 358, 14368, 41, 59, 2522, 1222, 16951, 8, 1423, 12, 3507, 7509, 185, 21737, 5601, 11011, 16201, 50223, 379, 7584, 536, 305, 8, 601, 502, 1383, 28, 1785, 8176, 176, 7, 5571, 4224, 1692, 6, 21361, 9115, 50223, 465, 40333, 1459, 15, 237, 7509, 116, 1157, 5, 50223, 266, 5, 266, 5, 3206, 7956, 165, 14368, 12, 18359, 221, 13458, 636, 2144, 725, 4, 7, 34517, 380, 7, 232, 8869, 248, 16300, 24, 5204, 50223, 929, 173, 736, 1048, 13415, 4563, 10003, 8869, 422, 1220, 4, 18, 20672, 3154, 8372, 561, 23, 17785, 4, 13, 8433, 30, 50223, 88, 1330, 996, 8869, 639, 23724, 18, 8215, 2447, 5, 50223, 352, 5, 2347, 937, 34345, 1182, 1182, 50223, 444, 5, 253, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 31827, 7509, 176, 3305, 36, 82, 1182, 23077, 24504, 894, 20910, 5, 50223, 444, 5, 196, 5, 1504, 25808, 7509, 453, 8869, 639, 1134, 55, 67, 11659, 928, 7, 29218, 1618, 7509, 116, 1157, 7, 8869, 248, 50223, 22562, 2069, 37741, 50245, 93, 10, 13975, 1648, 85, 4, 779, 37741, 2069, 4, 95, 9, 14140, 254, 19, 2810, 5, 4458, 11659, 928, 7, 50223, 1865, 361, 3172, 282, 7509, 116, 1157, 375, 10381, 5617, 18, 969, 509, 29, 23896, 7509, 453, 8869, 639, 1134, 5, 50223, 429, 5, 115, 2866, 14482, 1182, 1182, 50223, 497, 5, 253, 5, 3023, 41303, 25312, 4, 14492, 29, 25312, 4, 11175, 81, 30, 34124, 348, 4, 18045, 4, 30375, 7, 28013, 1701, 12621, 4, 23, 376, 50223, 278, 34543, 35204, 6, 2639, 8380, 481, 240, 8868, 287, 11850, 6, 38867, 747, 28887, 6308, 723, 1592, 50223, 2800, 9485, 73, 14917, 5, 3023, 41303, 25312, 4, 14492, 29, 25312, 4, 18045, 6, 30375, 7, 28013, 1701, 12621, 4, 23, 50223, 4724, 293, 10, 34543, 35204, 9, 7728, 6994, 28887, 6308, 723, 3150, 7417, 17683, 15211, 5, 50223, 497, 5, 196, 5, 1190, 1903, 28495, 687, 993, 13369, 9, 33295, 15138, 22983, 1572, 2747, 38, 37253, 820, 50223, 293, 4407, 553, 22983, 1572, 8, 11007, 237, 25312, 4, 188, 358, 18245, 3563, 28887, 6308, 723, 6468, 2399, 8380, 481, 4731, 50223, 16541, 2956, 21119, 5366, 4, 13438, 4, 1361, 4424, 2956, 38877, 7, 7728, 14482, 8380, 4063, 4, 8, 7708, 265, 10, 50223, 1210, 7728, 14482, 9929, 3011, 2, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100 ]
[ 0, 41, 59, 2522, 1222, 16951, 8, 1423, 12, 3507, 7509, 185, 21737, 5601, 11011, 16201, 50223, 379, 7584, 536, 305, 8, 601, 502, 1383, 28, 1785, 8176, 176, 7, 5571, 4224, 1692, 6, 21361, 9115, 50223, 465, 40333, 1459, 15, 237, 7509, 116, 1157, 5, 50223, 266, 5, 266, 5, 3206, 7956, 165, 14368, 12, 18359, 221, 13458, 636, 2144, 725, 4, 7, 34517, 380, 7, 232, 8869, 248, 16300, 24, 5204, 50223, 929, 173, 736, 1048, 13415, 4563, 10003, 8869, 422, 1220, 4, 18, 20672, 3154, 8372, 561, 23, 17785, 4, 13, 8433, 30, 50223, 88, 1330, 996, 8869, 639, 23724, 18, 8215, 2447, 5, 50223, 352, 5, 2347, 937, 34345, 1182, 1182, 50223, 444, 5, 253, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 31827, 7509, 176, 3305, 36, 82, 1182, 23077, 24504, 894, 20910, 5, 50223, 444, 5, 196, 5, 1504, 25808, 7509, 453, 8869, 639, 1134, 55, 67, 11659, 928, 7, 29218, 1618, 7509, 116, 1157, 7, 8869, 248, 50223, 22562, 2069, 37741, 50245, 93, 10, 13975, 1648, 85, 4, 779, 37741, 2069, 4, 95, 9, 14140, 254, 19, 2810, 5, 4458, 11659, 928, 7, 50223, 1865, 361, 3172, 282, 7509, 116, 1157, 375, 10381, 5617, 18, 969, 509, 29, 23896, 7509, 453, 8869, 639, 1134, 5, 50223, 429, 5, 115, 2866, 14482, 1182, 1182, 50223, 497, 5, 253, 5, 3023, 41303, 25312, 4, 14492, 29, 25312, 4, 11175, 81, 30, 34124, 348, 4, 18045, 4, 30375, 7, 28013, 1701, 12621, 4, 23, 376, 50223, 278, 34543, 35204, 6, 2639, 8380, 481, 240, 8868, 287, 11850, 6, 38867, 747, 28887, 6308, 723, 1592, 50223, 2800, 9485, 73, 14917, 5, 3023, 41303, 25312, 4, 14492, 29, 25312, 4, 18045, 6, 30375, 7, 28013, 1701, 12621, 4, 23, 50223, 4724, 293, 10, 34543, 35204, 9, 7728, 6994, 28887, 6308, 723, 3150, 7417, 17683, 15211, 5, 50223, 497, 5, 196, 5, 1190, 1903, 28495, 687, 993, 13369, 9, 33295, 15138, 22983, 1572, 2747, 38, 37253, 820, 50223, 293, 4407, 553, 22983, 1572, 8, 11007, 237, 25312, 4, 188, 358, 18245, 3563, 28887, 6308, 723, 6468, 2399, 8380, 481, 4731, 50223, 16541, 2956, 21119, 5366, 4, 13438, 4, 1361, 4424, 2956, 38877, 7, 7728, 14482, 8380, 4063, 4, 8, 7708, 265, 10, 50223, 1210, 7728, 14482, 9929, 3011, 2749, 9272, 3862, 14908, 19065, 28887, 6308, 723, 67, 18245, 1268, 8380, 481, 5, 50223, 497, 5, 259, 5, 1050, 364, 12539, 8380, 481, 9, 2630, 16, 364, 4, 8, 47, 16851, 96, 1247, 4, 95, 10, 6468, 20090, 4, 34050, 885, 28495, 3666, 50223, 15198, 68, 450, 14493, 4, 33, 8, 47, 25699, 28013, 591, 16453, 96, 4085, 24, 13679, 12241, 14, 15211, 7, 33845, 4, 28495, 1674, 50223, 37425, 688, 28887, 6308, 723, 4, 33, 8, 47, 10, 7, 23727, 189, 28495, 1674, 14917, 28887, 6308, 723, 44278, 50223, 290, 29381, 391, 13369, 8087, 3977, 35358, 4, 13, 1182, 48870, 25177, 813, 1186, 2399, 9, 36650, 304, 48870, 19594, 4, 1182, 48870, 25177, 813, 1186, 2399, 10, 14617, 48870, 19594, 33, 4426, 50223, 379, 15067, 53, 2, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100 ]
[ 0, 31827, 7509, 176, 3305, 36, 82, 1182, 23077, 24504, 894, 20910, 5, 50223, 444, 5, 196, 5, 1504, 25808, 7509, 453, 8869, 639, 1134, 55, 67, 11659, 928, 7, 29218, 1618, 7509, 116, 1157, 7, 8869, 248, 50223, 22562, 2069, 37741, 50245, 93, 10, 13975, 1648, 85, 4, 779, 37741, 2069, 4, 95, 9, 14140, 254, 19, 2810, 5, 4458, 11659, 928, 7, 50223, 1865, 361, 3172, 282, 7509, 116, 1157, 375, 10381, 5617, 18, 969, 509, 29, 23896, 7509, 453, 8869, 639, 1134, 5, 50223, 429, 5, 115, 2866, 14482, 1182, 1182, 50223, 497, 5, 253, 5, 3023, 41303, 25312, 4, 14492, 29, 25312, 4, 11175, 81, 30, 34124, 348, 4, 18045, 4, 30375, 7, 28013, 1701, 12621, 4, 23, 376, 50223, 278, 34543, 35204, 6, 2639, 8380, 481, 240, 8868, 287, 11850, 6, 38867, 747, 28887, 6308, 723, 1592, 50223, 2800, 9485, 73, 14917, 5, 3023, 41303, 25312, 4, 14492, 29, 25312, 4, 18045, 6, 30375, 7, 28013, 1701, 12621, 4, 23, 50223, 4724, 293, 10, 34543, 35204, 9, 7728, 6994, 28887, 6308, 723, 3150, 7417, 17683, 15211, 5, 50223, 497, 5, 196, 5, 1190, 1903, 28495, 687, 993, 13369, 9, 33295, 15138, 22983, 1572, 2747, 38, 37253, 820, 50223, 293, 4407, 553, 22983, 1572, 8, 11007, 237, 25312, 4, 188, 358, 18245, 3563, 28887, 6308, 723, 6468, 2399, 8380, 481, 4731, 50223, 16541, 2956, 21119, 5366, 4, 13438, 4, 1361, 4424, 2956, 38877, 7, 7728, 14482, 8380, 4063, 4, 8, 7708, 265, 10, 50223, 1210, 7728, 14482, 9929, 3011, 2749, 9272, 3862, 14908, 19065, 28887, 6308, 723, 67, 18245, 1268, 8380, 481, 5, 50223, 497, 5, 259, 5, 1050, 364, 12539, 8380, 481, 9, 2630, 16, 364, 4, 8, 47, 16851, 96, 1247, 4, 95, 10, 6468, 20090, 4, 34050, 885, 28495, 3666, 50223, 15198, 68, 450, 14493, 4, 33, 8, 47, 25699, 28013, 591, 16453, 96, 4085, 24, 13679, 12241, 14, 15211, 7, 33845, 4, 28495, 1674, 50223, 37425, 688, 28887, 6308, 723, 4, 33, 8, 47, 10, 7, 23727, 189, 28495, 1674, 14917, 28887, 6308, 723, 44278, 50223, 290, 29381, 391, 13369, 8087, 3977, 35358, 4, 13, 1182, 48870, 25177, 813, 1186, 2399, 9, 36650, 304, 48870, 19594, 4, 1182, 48870, 25177, 813, 1186, 2399, 10, 14617, 48870, 19594, 33, 4426, 50223, 379, 15067, 53, 24619, 18058, 5, 1050, 364, 12539, 9, 8, 7708, 265, 2630, 387, 27, 148, 364, 28, 12287, 172, 50223, 15198, 68, 481, 16851, 185, 8012, 5, 50223, 497, 5, 328, 5, 14907, 8380, 481, 9, 7761, 23, 38867, 16, 8, 265, 41314, 168, 3323, 1210, 1059, 22404, 15211, 28495, 1674, 50223, 23907, 52, 50209, 147, 15497, 23481, 19470, 4382, 5, 1050, 364, 12539, 9, 8, 7708, 265, 2630, 364, 4, 57, 99, 9378, 50223, 15198, 68, 481, 41314, 52, 3323, 1210, 930, 5, 50223, 430, 5, 2347, 8947, 466, 9661, 1182, 1182, 50223, 528, 5, 253, 5, 24766, 2212, 3054, 42015, 287, 3507, 21737, 9, 11450, 33884, 41090, 1916, 8722, 3333, 5, 50223, 528, 5, 196, 5, 268, 19883, 3305, 10, 434, 5455, 7, 713, 3291, 2, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100 ]
[ 0, 6, 2639, 8380, 481, 240, 8868, 287, 11850, 6, 38867, 747, 28887, 6308, 723, 1592, 50223, 2800, 9485, 73, 14917, 5, 3023, 41303, 25312, 4, 14492, 29, 25312, 4, 18045, 6, 30375, 7, 28013, 1701, 12621, 4, 23, 50223, 4724, 293, 10, 34543, 35204, 9, 7728, 6994, 28887, 6308, 723, 3150, 7417, 17683, 15211, 5, 50223, 497, 5, 196, 5, 1190, 1903, 28495, 687, 993, 13369, 9, 33295, 15138, 22983, 1572, 2747, 38, 37253, 820, 50223, 293, 4407, 553, 22983, 1572, 8, 11007, 237, 25312, 4, 188, 358, 18245, 3563, 28887, 6308, 723, 6468, 2399, 8380, 481, 4731, 50223, 16541, 2956, 21119, 5366, 4, 13438, 4, 1361, 4424, 2956, 38877, 7, 7728, 14482, 8380, 4063, 4, 8, 7708, 265, 10, 50223, 1210, 7728, 14482, 9929, 3011, 2749, 9272, 3862, 14908, 19065, 28887, 6308, 723, 67, 18245, 1268, 8380, 481, 5, 50223, 497, 5, 259, 5, 1050, 364, 12539, 8380, 481, 9, 2630, 16, 364, 4, 8, 47, 16851, 96, 1247, 4, 95, 10, 6468, 20090, 4, 34050, 885, 28495, 3666, 50223, 15198, 68, 450, 14493, 4, 33, 8, 47, 25699, 28013, 591, 16453, 96, 4085, 24, 13679, 12241, 14, 15211, 7, 33845, 4, 28495, 1674, 50223, 37425, 688, 28887, 6308, 723, 4, 33, 8, 47, 10, 7, 23727, 189, 28495, 1674, 14917, 28887, 6308, 723, 44278, 50223, 290, 29381, 391, 13369, 8087, 3977, 35358, 4, 13, 1182, 48870, 25177, 813, 1186, 2399, 9, 36650, 304, 48870, 19594, 4, 1182, 48870, 25177, 813, 1186, 2399, 10, 14617, 48870, 19594, 33, 4426, 50223, 379, 15067, 53, 24619, 18058, 5, 1050, 364, 12539, 9, 8, 7708, 265, 2630, 387, 27, 148, 364, 28, 12287, 172, 50223, 15198, 68, 481, 16851, 185, 8012, 5, 50223, 497, 5, 328, 5, 14907, 8380, 481, 9, 7761, 23, 38867, 16, 8, 265, 41314, 168, 3323, 1210, 1059, 22404, 15211, 28495, 1674, 50223, 23907, 52, 50209, 147, 15497, 23481, 19470, 4382, 5, 1050, 364, 12539, 9, 8, 7708, 265, 2630, 364, 4, 57, 99, 9378, 50223, 15198, 68, 481, 41314, 52, 3323, 1210, 930, 5, 50223, 430, 5, 2347, 8947, 466, 9661, 1182, 1182, 50223, 528, 5, 253, 5, 24766, 2212, 3054, 42015, 287, 3507, 21737, 9, 11450, 33884, 41090, 1916, 8722, 3333, 5, 50223, 528, 5, 196, 5, 268, 19883, 3305, 10, 434, 5455, 7, 713, 3291, 18843, 22983, 1572, 4, 6, 11, 3150, 8380, 163, 11175, 269, 30, 50223, 1498, 132, 8195, 14039, 1612, 48913, 1940, 126, 16851, 462, 14643, 5, 50223, 528, 5, 259, 5, 12256, 5885, 26545, 15372, 7671, 102, 28095, 17258, 16851, 462, 14643, 6, 8618, 7671, 16774, 3398, 28, 50223, 19583, 102, 17860, 8, 2185, 11179, 5, 1182, 23077, 24504, 266, 71, 638, 508, 5, 704, 253, 50209, 23592, 239, 5, 100, 5, 17, 46483, 24047, 30, 20196, 6, 17, 2909, 50223, 71, 9689, 1085, 3833, 8, 39695, 4083, 5, 50223, 528, 5, 328, 5, 41590, 17, 14523, 87, 8869, 639, 1134, 26545, 15372, 7671, 28095, 48913, 1940, 126, 16851, 462, 14643, 6, 8618, 50223, 528, 5, 266, 5, 12256, 5885, 10, 8868, 406, 8, 1020, 2557, 2186, 553, 5, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 3862, 14908, 19065, 28887, 6308, 723, 67, 18245, 1268, 8380, 481, 5, 50223, 497, 5, 259, 5, 1050, 364, 12539, 8380, 481, 9, 2630, 16, 364, 4, 8, 47, 16851, 96, 1247, 4, 95, 10, 6468, 20090, 4, 34050, 885, 28495, 3666, 50223, 15198, 68, 450, 14493, 4, 33, 8, 47, 25699, 28013, 591, 16453, 96, 4085, 24, 13679, 12241, 14, 15211, 7, 33845, 4, 28495, 1674, 50223, 37425, 688, 28887, 6308, 723, 4, 33, 8, 47, 10, 7, 23727, 189, 28495, 1674, 14917, 28887, 6308, 723, 44278, 50223, 290, 29381, 391, 13369, 8087, 3977, 35358, 4, 13, 1182, 48870, 25177, 813, 1186, 2399, 9, 36650, 304, 48870, 19594, 4, 1182, 48870, 25177, 813, 1186, 2399, 10, 14617, 48870, 19594, 33, 4426, 50223, 379, 15067, 53, 24619, 18058, 5, 1050, 364, 12539, 9, 8, 7708, 265, 2630, 387, 27, 148, 364, 28, 12287, 172, 50223, 15198, 68, 481, 16851, 185, 8012, 5, 50223, 497, 5, 328, 5, 14907, 8380, 481, 9, 7761, 23, 38867, 16, 8, 265, 41314, 168, 3323, 1210, 1059, 22404, 15211, 28495, 1674, 50223, 23907, 52, 50209, 147, 15497, 23481, 19470, 4382, 5, 1050, 364, 12539, 9, 8, 7708, 265, 2630, 364, 4, 57, 99, 9378, 50223, 15198, 68, 481, 41314, 52, 3323, 1210, 930, 5, 50223, 430, 5, 2347, 8947, 466, 9661, 1182, 1182, 50223, 528, 5, 253, 5, 24766, 2212, 3054, 42015, 287, 3507, 21737, 9, 11450, 33884, 41090, 1916, 8722, 3333, 5, 50223, 528, 5, 196, 5, 268, 19883, 3305, 10, 434, 5455, 7, 713, 3291, 18843, 22983, 1572, 4, 6, 11, 3150, 8380, 163, 11175, 269, 30, 50223, 1498, 132, 8195, 14039, 1612, 48913, 1940, 126, 16851, 462, 14643, 5, 50223, 528, 5, 259, 5, 12256, 5885, 26545, 15372, 7671, 102, 28095, 17258, 16851, 462, 14643, 6, 8618, 7671, 16774, 3398, 28, 50223, 19583, 102, 17860, 8, 2185, 11179, 5, 1182, 23077, 24504, 266, 71, 638, 508, 5, 704, 253, 50209, 23592, 239, 5, 100, 5, 17, 46483, 24047, 30, 20196, 6, 17, 2909, 50223, 71, 9689, 1085, 3833, 8, 39695, 4083, 5, 50223, 528, 5, 328, 5, 41590, 17, 14523, 87, 8869, 639, 1134, 26545, 15372, 7671, 28095, 48913, 1940, 126, 16851, 462, 14643, 6, 8618, 50223, 528, 5, 266, 5, 12256, 5885, 10, 8868, 406, 8, 1020, 2557, 2186, 553, 5, 27928, 2557, 11671, 31, 3110, 24, 29897, 2875, 6, 260, 24, 50223, 96, 7956, 453, 5, 50223, 528, 5, 444, 5, 34124, 7306, 400, 14229, 407, 4, 13, 3305, 7320, 614, 7, 713, 43, 36660, 14200, 4, 1614, 29283, 8, 25744, 151, 23, 50223, 96, 6777, 9870, 43615, 2318, 4, 3305, 14, 46503, 4, 102, 3831, 18577, 14476, 6, 7, 7961, 7663, 3305, 110, 50223, 929, 4082, 5114, 407, 5, 50223, 859, 159, 9969, 52, 4, 864, 1182, 840, 5, 7595, 5, 1508, 2659, 44, 50223, 1161, 7609, 35165, 1182, 1182, 5176, 5, 2380, 233, 177, 1378, 1182, 1182, 50223, 9861, 1114, 1182, 1182, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 1050, 364, 12539, 9, 8, 7708, 265, 2630, 387, 27, 148, 364, 28, 12287, 172, 50223, 15198, 68, 481, 16851, 185, 8012, 5, 50223, 497, 5, 328, 5, 14907, 8380, 481, 9, 7761, 23, 38867, 16, 8, 265, 41314, 168, 3323, 1210, 1059, 22404, 15211, 28495, 1674, 50223, 23907, 52, 50209, 147, 15497, 23481, 19470, 4382, 5, 1050, 364, 12539, 9, 8, 7708, 265, 2630, 364, 4, 57, 99, 9378, 50223, 15198, 68, 481, 41314, 52, 3323, 1210, 930, 5, 50223, 430, 5, 2347, 8947, 466, 9661, 1182, 1182, 50223, 528, 5, 253, 5, 24766, 2212, 3054, 42015, 287, 3507, 21737, 9, 11450, 33884, 41090, 1916, 8722, 3333, 5, 50223, 528, 5, 196, 5, 268, 19883, 3305, 10, 434, 5455, 7, 713, 3291, 18843, 22983, 1572, 4, 6, 11, 3150, 8380, 163, 11175, 269, 30, 50223, 1498, 132, 8195, 14039, 1612, 48913, 1940, 126, 16851, 462, 14643, 5, 50223, 528, 5, 259, 5, 12256, 5885, 26545, 15372, 7671, 102, 28095, 17258, 16851, 462, 14643, 6, 8618, 7671, 16774, 3398, 28, 50223, 19583, 102, 17860, 8, 2185, 11179, 5, 1182, 23077, 24504, 266, 71, 638, 508, 5, 704, 253, 50209, 23592, 239, 5, 100, 5, 17, 46483, 24047, 30, 20196, 6, 17, 2909, 50223, 71, 9689, 1085, 3833, 8, 39695, 4083, 5, 50223, 528, 5, 328, 5, 41590, 17, 14523, 87, 8869, 639, 1134, 26545, 15372, 7671, 28095, 48913, 1940, 126, 16851, 462, 14643, 6, 8618, 50223, 528, 5, 266, 5, 12256, 5885, 10, 8868, 406, 8, 1020, 2557, 2186, 553, 5, 27928, 2557, 11671, 31, 3110, 24, 29897, 2875, 6, 260, 24, 50223, 96, 7956, 453, 5, 50223, 528, 5, 444, 5, 34124, 7306, 400, 14229, 407, 4, 13, 3305, 7320, 614, 7, 713, 43, 36660, 14200, 4, 1614, 29283, 8, 25744, 151, 23, 50223, 96, 6777, 9870, 43615, 2318, 4, 3305, 14, 46503, 4, 102, 3831, 18577, 14476, 6, 7, 7961, 7663, 3305, 110, 50223, 929, 4082, 5114, 407, 5, 50223, 859, 159, 9969, 52, 4, 864, 1182, 840, 5, 7595, 5, 1508, 2659, 44, 50223, 1161, 7609, 35165, 1182, 1182, 5176, 5, 2380, 233, 177, 1378, 1182, 1182, 50223, 9861, 1114, 1182, 1182, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 6, 11, 3150, 8380, 163, 11175, 269, 30, 50223, 1498, 132, 8195, 14039, 1612, 48913, 1940, 126, 16851, 462, 14643, 5, 50223, 528, 5, 259, 5, 12256, 5885, 26545, 15372, 7671, 102, 28095, 17258, 16851, 462, 14643, 6, 8618, 7671, 16774, 3398, 28, 50223, 19583, 102, 17860, 8, 2185, 11179, 5, 1182, 23077, 24504, 266, 71, 638, 508, 5, 704, 253, 50209, 23592, 239, 5, 100, 5, 17, 46483, 24047, 30, 20196, 6, 17, 2909, 50223, 71, 9689, 1085, 3833, 8, 39695, 4083, 5, 50223, 528, 5, 328, 5, 41590, 17, 14523, 87, 8869, 639, 1134, 26545, 15372, 7671, 28095, 48913, 1940, 126, 16851, 462, 14643, 6, 8618, 50223, 528, 5, 266, 5, 12256, 5885, 10, 8868, 406, 8, 1020, 2557, 2186, 553, 5, 27928, 2557, 11671, 31, 3110, 24, 29897, 2875, 6, 260, 24, 50223, 96, 7956, 453, 5, 50223, 528, 5, 444, 5, 34124, 7306, 400, 14229, 407, 4, 13, 3305, 7320, 614, 7, 713, 43, 36660, 14200, 4, 1614, 29283, 8, 25744, 151, 23, 50223, 96, 6777, 9870, 43615, 2318, 4, 3305, 14, 46503, 4, 102, 3831, 18577, 14476, 6, 7, 7961, 7663, 3305, 110, 50223, 929, 4082, 5114, 407, 5, 50223, 859, 159, 9969, 52, 4, 864, 1182, 840, 5, 7595, 5, 1508, 2659, 44, 50223, 1161, 7609, 35165, 1182, 1182, 5176, 5, 2380, 233, 177, 1378, 1182, 1182, 50223, 9861, 1114, 1182, 1182, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 3110, 24, 29897, 2875, 6, 260, 24, 50223, 96, 7956, 453, 5, 50223, 528, 5, 444, 5, 34124, 7306, 400, 14229, 407, 4, 13, 3305, 7320, 614, 7, 713, 43, 36660, 14200, 4, 1614, 29283, 8, 25744, 151, 23, 50223, 96, 6777, 9870, 43615, 2318, 4, 3305, 14, 46503, 4, 102, 3831, 18577, 14476, 6, 7, 7961, 7663, 3305, 110, 50223, 929, 4082, 5114, 407, 5, 50223, 859, 159, 9969, 52, 4, 864, 1182, 840, 5, 7595, 5, 1508, 2659, 44, 50223, 1161, 7609, 35165, 1182, 1182, 5176, 5, 2380, 233, 177, 1378, 1182, 1182, 50223, 9861, 1114, 1182, 1182, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 1182, 36828, 45225, 2334, 267, 16648, 631, 7495, 311, 2613, 281, 2158, 40107, 13657, 1745, 1783, 1182, 1182, 50223, 1182, 508, 5, 292, 196, 1105, 4135, 1105, 1182, 1182, 1182, 50223, 1865, 1075, 170, 498, 82, 1182, 23077, 24504, 6653, 259, 94, 856, 158, 5, 28913, 19088, 6, 638, 508, 5, 40062, 50209, 10673, 239, 5, 15, 5, 17, 50223, 379, 30787, 22599, 50223, 190, 4083, 6284, 3333, 146, 16774, 6620, 16851, 462, 14643, 50244, 1182, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 1182, 50223, 13894, 922, 922, 1182, 50223, 107, 5, 1182, 15650, 45926, 35852, 1182, 1182, 1182, 50223, 1930, 7780, 50244, 27921, 325, 6174, 4, 1427, 196, 3317, 45926, 35852, 50223, 367, 13322, 406, 50244, 11680, 5, 2612, 252, 1998, 506, 3414, 252, 4, 9990, 308, 1114, 50223, 272, 24069, 50244, 2985, 1105, 266, 2342, 196, 50223, 182, 15563, 50244, 5476, 9924, 3100, 2278, 50223, 27418, 2477, 50244, 3218, 12126, 563, 7048, 2985, 668, 2985, 668, 11833, 6513, 352, 1164, 196, 50223, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 1182, 29897, 1672, 1182, 1182, 50250, 1182, 1182, 50191, 50223, 119, 5, 1182, 7309, 439, 3763, 2928, 153, 1182, 1182, 1182, 50223, 8757, 44975, 25169, 50244, 1182, 16068, 7214, 1182, 50209, 9558, 4, 539, 1229, 253, 7889, 136, 1182, 1182, 50223, 4571, 8226, 12624, 5, 50244, 1182, 1270, 5, 7595, 5, 1250, 13962, 1182, 1182, 50223, 50189, 32092, 16, 19, 1182, 48870, 25177, 96, 7956, 165, 50250, 50191, 50223, 50189, 147, 1402, 654, 13164, 1672, 6, 7509, 165, 544, 2794, 16, 19, 1182, 48870, 25177, 100, 32445, 7306, 400, 50250, 50191, 50223, 1046, 158, 5, 186, 1182, 1182, 50223, 4458, 6666, 6, 5204, 34345, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 7509, 2042, 18, 34345, 6, 7509, 165, 5166, 18, 34345, 4, 23, 2318, 50223, 470, 1643, 6754, 8, 237, 8195, 50244, 50223, 311, 2201, 248, 488, 508, 5, 800, 528, 84, 84, 935, 205, 2201, 17, 301, 21042, 15528, 263, 196, 2137, 4129, 84, 1182, 10742, 508, 5, 107, 84, 7, 25797, 50244, 45926, 35852, 1182, 50223, 1182, 27, 7889, 891, 325, 12264, 551, 84, 23, 4301, 597, 1182, 415, 1291, 8789, 2174, 7715, 467, 6, 1182, 1182, 415, 1291, 8789, 2174, 41568, 1182, 1182, 50223, 50189, 32092, 16, 19, 1182, 48870, 25177, 205, 2201, 248, 488, 50250, 50191, 5, 50223, 196, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 1182, 50223, 13894, 922, 922, 1182, 50223, 107, 5, 1182, 15650, 45926, 35852, 1182, 1182, 1182, 50223, 1930, 7780, 50244, 27921, 325, 6174, 4, 1427, 196, 3317, 45926, 35852, 50223, 367, 13322, 406, 50244, 11680, 5, 2612, 252, 1998, 506, 3414, 252, 4, 9990, 308, 1114, 50223, 272, 24069, 50244, 2985, 1105, 266, 2342, 196, 50223, 182, 15563, 50244, 5476, 9924, 3100, 2278, 50223, 27418, 2477, 50244, 3218, 12126, 563, 7048, 2985, 668, 2985, 668, 11833, 6513, 352, 1164, 196, 50223, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 1182, 29897, 1672, 1182, 1182, 50250, 1182, 1182, 50191, 50223, 119, 5, 1182, 7309, 439, 3763, 2928, 153, 1182, 1182, 1182, 50223, 8757, 44975, 25169, 50244, 1182, 16068, 7214, 1182, 50209, 9558, 4, 539, 1229, 253, 7889, 136, 1182, 1182, 50223, 4571, 8226, 12624, 5, 50244, 1182, 1270, 5, 7595, 5, 1250, 13962, 1182, 1182, 50223, 50189, 32092, 16, 19, 1182, 48870, 25177, 96, 7956, 165, 50250, 50191, 50223, 50189, 147, 1402, 654, 13164, 1672, 6, 7509, 165, 544, 2794, 16, 19, 1182, 48870, 25177, 100, 32445, 7306, 400, 50250, 50191, 50223, 1046, 158, 5, 186, 1182, 1182, 50223, 4458, 6666, 6, 5204, 34345, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 7509, 2042, 18, 34345, 6, 7509, 165, 5166, 18, 34345, 4, 23, 2318, 50223, 470, 1643, 6754, 8, 237, 8195, 50244, 50223, 311, 2201, 248, 488, 508, 5, 800, 528, 84, 84, 935, 205, 2201, 17, 301, 21042, 15528, 263, 196, 2137, 4129, 84, 1182, 10742, 508, 5, 107, 84, 7, 25797, 50244, 45926, 35852, 1182, 50223, 1182, 27, 7889, 891, 325, 12264, 551, 84, 23, 4301, 597, 1182, 415, 1291, 8789, 2174, 7715, 467, 6, 1182, 1182, 415, 1291, 8789, 2174, 41568, 1182, 1182, 50223, 50189, 32092, 16, 19, 1182, 48870, 25177, 205, 2201, 248, 488, 50250, 50191, 5, 50223, 196, 5, 311, 2201, 248, 488, 29897, 1672, 17998, 133, 2031, 7509, 2042, 18, 34345, 23, 5198, 8476, 687, 28388, 4, 8869, 81, 50223, 2800, 13458, 449, 3837, 135, 7, 25401, 4418, 44092, 269, 33, 8224, 269, 5, 50223, 259, 5, 1962, 96, 7956, 8869, 639, 1134, 10, 40425, 5, 50223, 1046, 158, 5, 2038, 1182, 50223, 4280, 71, 34345, 1182, 1182, 50223, 253, 5, 12256, 5885, 9, 11708, 7, 1785, 13907, 7, 236, 167, 5, 41590, 9, 3199, 31827, 667, 19, 28, 23486, 50223, 5876, 1308, 2193, 50223, 31659, 638, 508, 5, 638, 508, 5, 40062, 50209, 10673, 239, 5, 15, 5, 17, 15762, 22599, 8, 4083, 6284, 3333, 1182, 50189, 32092, 16, 50223, 1646, 50223, 48870, 25177, 1297, 1282, 17, 15762, 22599, 50250, 50191, 4, 93, 11, 989, 17, 15762, 22599, 6, 960, 5885, 22493, 46761, 660, 5, 50223, 196, 5, 36067, 8764, 8869, 248, 488, 6783, 7509, 2042, 10550, 4456, 237, 1157, 5, 50223, 259, 5, 3206, 7956, 165, 27414, 214, 29897, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 16068, 7214, 1182, 50209, 9558, 4, 539, 1229, 253, 7889, 136, 1182, 1182, 50223, 4571, 8226, 12624, 5, 50244, 1182, 1270, 5, 7595, 5, 1250, 13962, 1182, 1182, 50223, 50189, 32092, 16, 19, 1182, 48870, 25177, 96, 7956, 165, 50250, 50191, 50223, 50189, 147, 1402, 654, 13164, 1672, 6, 7509, 165, 544, 2794, 16, 19, 1182, 48870, 25177, 100, 32445, 7306, 400, 50250, 50191, 50223, 1046, 158, 5, 186, 1182, 1182, 50223, 4458, 6666, 6, 5204, 34345, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 7509, 2042, 18, 34345, 6, 7509, 165, 5166, 18, 34345, 4, 23, 2318, 50223, 470, 1643, 6754, 8, 237, 8195, 50244, 50223, 311, 2201, 248, 488, 508, 5, 800, 528, 84, 84, 935, 205, 2201, 17, 301, 21042, 15528, 263, 196, 2137, 4129, 84, 1182, 10742, 508, 5, 107, 84, 7, 25797, 50244, 45926, 35852, 1182, 50223, 1182, 27, 7889, 891, 325, 12264, 551, 84, 23, 4301, 597, 1182, 415, 1291, 8789, 2174, 7715, 467, 6, 1182, 1182, 415, 1291, 8789, 2174, 41568, 1182, 1182, 50223, 50189, 32092, 16, 19, 1182, 48870, 25177, 205, 2201, 248, 488, 50250, 50191, 5, 50223, 196, 5, 311, 2201, 248, 488, 29897, 1672, 17998, 133, 2031, 7509, 2042, 18, 34345, 23, 5198, 8476, 687, 28388, 4, 8869, 81, 50223, 2800, 13458, 449, 3837, 135, 7, 25401, 4418, 44092, 269, 33, 8224, 269, 5, 50223, 259, 5, 1962, 96, 7956, 8869, 639, 1134, 10, 40425, 5, 50223, 1046, 158, 5, 2038, 1182, 50223, 4280, 71, 34345, 1182, 1182, 50223, 253, 5, 12256, 5885, 9, 11708, 7, 1785, 13907, 7, 236, 167, 5, 41590, 9, 3199, 31827, 667, 19, 28, 23486, 50223, 5876, 1308, 2193, 50223, 31659, 638, 508, 5, 638, 508, 5, 40062, 50209, 10673, 239, 5, 15, 5, 17, 15762, 22599, 8, 4083, 6284, 3333, 1182, 50189, 32092, 16, 50223, 1646, 50223, 48870, 25177, 1297, 1282, 17, 15762, 22599, 50250, 50191, 4, 93, 11, 989, 17, 15762, 22599, 6, 960, 5885, 22493, 46761, 660, 5, 50223, 196, 5, 36067, 8764, 8869, 248, 488, 6783, 7509, 2042, 10550, 4456, 237, 1157, 5, 50223, 259, 5, 3206, 7956, 165, 27414, 214, 29897, 11890, 7, 713, 237, 1157, 34543, 6, 1361, 517, 7045, 23, 50223, 6248, 16740, 50223, 4172, 250, 287, 12, 14523, 1852, 8869, 639, 1134, 7, 1732, 1182, 29, 387, 5, 828, 5, 1508, 2659, 18, 580, 5, 828, 5, 1508, 5965, 1182, 1182, 50189, 32092, 16, 19, 1182, 50250, 2712, 1160, 50223, 4767, 5012, 287, 1732, 50250, 50191, 1182, 45, 1493, 609, 4, 668, 2845, 44, 50223, 1046, 158, 5, 7085, 1182, 50223, 3206, 7956, 73, 1182, 1182, 50223, 253, 5, 367, 7509, 8869, 639, 1134, 9, 7509, 165, 20913, 5013, 29897, 11890, 34543, 6, 1361, 50223, 37981, 50223, 379, 19086, 3938, 12, 14523, 1852, 8869, 639, 1134, 5, 3023, 1363, 7509, 168, 6, 1361, 708, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 84, 1182, 10742, 508, 5, 107, 84, 7, 25797, 50244, 45926, 35852, 1182, 50223, 1182, 27, 7889, 891, 325, 12264, 551, 84, 23, 4301, 597, 1182, 415, 1291, 8789, 2174, 7715, 467, 6, 1182, 1182, 415, 1291, 8789, 2174, 41568, 1182, 1182, 50223, 50189, 32092, 16, 19, 1182, 48870, 25177, 205, 2201, 248, 488, 50250, 50191, 5, 50223, 196, 5, 311, 2201, 248, 488, 29897, 1672, 17998, 133, 2031, 7509, 2042, 18, 34345, 23, 5198, 8476, 687, 28388, 4, 8869, 81, 50223, 2800, 13458, 449, 3837, 135, 7, 25401, 4418, 44092, 269, 33, 8224, 269, 5, 50223, 259, 5, 1962, 96, 7956, 8869, 639, 1134, 10, 40425, 5, 50223, 1046, 158, 5, 2038, 1182, 50223, 4280, 71, 34345, 1182, 1182, 50223, 253, 5, 12256, 5885, 9, 11708, 7, 1785, 13907, 7, 236, 167, 5, 41590, 9, 3199, 31827, 667, 19, 28, 23486, 50223, 5876, 1308, 2193, 50223, 31659, 638, 508, 5, 638, 508, 5, 40062, 50209, 10673, 239, 5, 15, 5, 17, 15762, 22599, 8, 4083, 6284, 3333, 1182, 50189, 32092, 16, 50223, 1646, 50223, 48870, 25177, 1297, 1282, 17, 15762, 22599, 50250, 50191, 4, 93, 11, 989, 17, 15762, 22599, 6, 960, 5885, 22493, 46761, 660, 5, 50223, 196, 5, 36067, 8764, 8869, 248, 488, 6783, 7509, 2042, 10550, 4456, 237, 1157, 5, 50223, 259, 5, 3206, 7956, 165, 27414, 214, 29897, 11890, 7, 713, 237, 1157, 34543, 6, 1361, 517, 7045, 23, 50223, 6248, 16740, 50223, 4172, 250, 287, 12, 14523, 1852, 8869, 639, 1134, 7, 1732, 1182, 29, 387, 5, 828, 5, 1508, 2659, 18, 580, 5, 828, 5, 1508, 5965, 1182, 1182, 50189, 32092, 16, 19, 1182, 50250, 2712, 1160, 50223, 4767, 5012, 287, 1732, 50250, 50191, 1182, 45, 1493, 609, 4, 668, 2845, 44, 50223, 1046, 158, 5, 7085, 1182, 50223, 3206, 7956, 73, 1182, 1182, 50223, 253, 5, 367, 7509, 8869, 639, 1134, 9, 7509, 165, 20913, 5013, 29897, 11890, 34543, 6, 1361, 50223, 37981, 50223, 379, 19086, 3938, 12, 14523, 1852, 8869, 639, 1134, 5, 3023, 1363, 7509, 168, 6, 1361, 708, 10717, 23, 50223, 6248, 16740, 50223, 4172, 250, 287, 12, 14523, 1852, 8869, 639, 1134, 10, 5336, 82, 2552, 1100, 1301, 29897, 2875, 4, 32175, 373, 50223, 201, 2758, 50223, 1865, 1075, 170, 1059, 237, 1157, 5, 50223, 196, 5, 130, 5012, 450, 2375, 7509, 168, 6, 1361, 708, 10717, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 50223, 290, 1295, 40375, 287, 1732, 10, 8, 364, 16751, 237, 1157, 5, 3206, 7956, 165, 10, 2933, 67, 46622, 50223, 4767, 1756, 19328, 2584, 11145, 5013, 29897, 11890, 7, 574, 1732, 34543, 6, 1361, 50223, 37981, 50223, 379, 19086, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 50223, 259, 5, 159, 265, 4, 93, 28013, 591, 4085, 4, 7, 39, 99, 34543, 6, 1361, 517, 7045, 23, 791, 3938, 12, 14523, 1852, 50223, 205, 2201, 639, 1134, 35204, 4, 25, 24, 574, 1732, 9, 5341, 4507, 7509, 168, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 4280, 71, 34345, 1182, 1182, 50223, 253, 5, 12256, 5885, 9, 11708, 7, 1785, 13907, 7, 236, 167, 5, 41590, 9, 3199, 31827, 667, 19, 28, 23486, 50223, 5876, 1308, 2193, 50223, 31659, 638, 508, 5, 638, 508, 5, 40062, 50209, 10673, 239, 5, 15, 5, 17, 15762, 22599, 8, 4083, 6284, 3333, 1182, 50189, 32092, 16, 50223, 1646, 50223, 48870, 25177, 1297, 1282, 17, 15762, 22599, 50250, 50191, 4, 93, 11, 989, 17, 15762, 22599, 6, 960, 5885, 22493, 46761, 660, 5, 50223, 196, 5, 36067, 8764, 8869, 248, 488, 6783, 7509, 2042, 10550, 4456, 237, 1157, 5, 50223, 259, 5, 3206, 7956, 165, 27414, 214, 29897, 11890, 7, 713, 237, 1157, 34543, 6, 1361, 517, 7045, 23, 50223, 6248, 16740, 50223, 4172, 250, 287, 12, 14523, 1852, 8869, 639, 1134, 7, 1732, 1182, 29, 387, 5, 828, 5, 1508, 2659, 18, 580, 5, 828, 5, 1508, 5965, 1182, 1182, 50189, 32092, 16, 19, 1182, 50250, 2712, 1160, 50223, 4767, 5012, 287, 1732, 50250, 50191, 1182, 45, 1493, 609, 4, 668, 2845, 44, 50223, 1046, 158, 5, 7085, 1182, 50223, 3206, 7956, 73, 1182, 1182, 50223, 253, 5, 367, 7509, 8869, 639, 1134, 9, 7509, 165, 20913, 5013, 29897, 11890, 34543, 6, 1361, 50223, 37981, 50223, 379, 19086, 3938, 12, 14523, 1852, 8869, 639, 1134, 5, 3023, 1363, 7509, 168, 6, 1361, 708, 10717, 23, 50223, 6248, 16740, 50223, 4172, 250, 287, 12, 14523, 1852, 8869, 639, 1134, 10, 5336, 82, 2552, 1100, 1301, 29897, 2875, 4, 32175, 373, 50223, 201, 2758, 50223, 1865, 1075, 170, 1059, 237, 1157, 5, 50223, 196, 5, 130, 5012, 450, 2375, 7509, 168, 6, 1361, 708, 10717, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 50223, 290, 1295, 40375, 287, 1732, 10, 8, 364, 16751, 237, 1157, 5, 3206, 7956, 165, 10, 2933, 67, 46622, 50223, 4767, 1756, 19328, 2584, 11145, 5013, 29897, 11890, 7, 574, 1732, 34543, 6, 1361, 50223, 37981, 50223, 379, 19086, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 50223, 259, 5, 159, 265, 4, 93, 28013, 591, 4085, 4, 7, 39, 99, 34543, 6, 1361, 517, 7045, 23, 791, 3938, 12, 14523, 1852, 50223, 205, 2201, 639, 1134, 35204, 4, 25, 24, 574, 1732, 9, 5341, 4507, 7509, 168, 6, 1361, 50223, 209, 643, 50223, 379, 37884, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 3837, 1087, 82, 2552, 1100, 1301, 50223, 147, 1402, 654, 13164, 2875, 4, 50223, 11915, 48, 22875, 373, 19225, 18757, 7433, 7, 574, 67, 6849, 134, 780, 1732, 5, 34124, 7306, 400, 28, 27414, 423, 50223, 96, 7956, 168, 6, 1361, 708, 10717, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 7, 50223, 1178, 193, 831, 50223, 4767, 6849, 134, 780, 1732, 4, 20112, 1991, 8380, 80, 41556, 30, 237, 8195, 4, 8, 648, 48, 2747, 574, 50223, 4767, 5012, 287, 50223, 854, 3782, 343, 23, 7509, 8869, 639, 1134, 5, 50223, 328, 5, 1504, 26299, 832, 4418, 44092, 269, 18, 5874, 8, 35670, 348, 31, 34543, 6, 1361, 517, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 14523, 1852, 8869, 639, 1134, 7, 1732, 1182, 29, 387, 5, 828, 5, 1508, 2659, 18, 580, 5, 828, 5, 1508, 5965, 1182, 1182, 50189, 32092, 16, 19, 1182, 50250, 2712, 1160, 50223, 4767, 5012, 287, 1732, 50250, 50191, 1182, 45, 1493, 609, 4, 668, 2845, 44, 50223, 1046, 158, 5, 7085, 1182, 50223, 3206, 7956, 73, 1182, 1182, 50223, 253, 5, 367, 7509, 8869, 639, 1134, 9, 7509, 165, 20913, 5013, 29897, 11890, 34543, 6, 1361, 50223, 37981, 50223, 379, 19086, 3938, 12, 14523, 1852, 8869, 639, 1134, 5, 3023, 1363, 7509, 168, 6, 1361, 708, 10717, 23, 50223, 6248, 16740, 50223, 4172, 250, 287, 12, 14523, 1852, 8869, 639, 1134, 10, 5336, 82, 2552, 1100, 1301, 29897, 2875, 4, 32175, 373, 50223, 201, 2758, 50223, 1865, 1075, 170, 1059, 237, 1157, 5, 50223, 196, 5, 130, 5012, 450, 2375, 7509, 168, 6, 1361, 708, 10717, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 50223, 290, 1295, 40375, 287, 1732, 10, 8, 364, 16751, 237, 1157, 5, 3206, 7956, 165, 10, 2933, 67, 46622, 50223, 4767, 1756, 19328, 2584, 11145, 5013, 29897, 11890, 7, 574, 1732, 34543, 6, 1361, 50223, 37981, 50223, 379, 19086, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 50223, 259, 5, 159, 265, 4, 93, 28013, 591, 4085, 4, 7, 39, 99, 34543, 6, 1361, 517, 7045, 23, 791, 3938, 12, 14523, 1852, 50223, 205, 2201, 639, 1134, 35204, 4, 25, 24, 574, 1732, 9, 5341, 4507, 7509, 168, 6, 1361, 50223, 209, 643, 50223, 379, 37884, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 3837, 1087, 82, 2552, 1100, 1301, 50223, 147, 1402, 654, 13164, 2875, 4, 50223, 11915, 48, 22875, 373, 19225, 18757, 7433, 7, 574, 67, 6849, 134, 780, 1732, 5, 34124, 7306, 400, 28, 27414, 423, 50223, 96, 7956, 168, 6, 1361, 708, 10717, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 7, 50223, 1178, 193, 831, 50223, 4767, 6849, 134, 780, 1732, 4, 20112, 1991, 8380, 80, 41556, 30, 237, 8195, 4, 8, 648, 48, 2747, 574, 50223, 4767, 5012, 287, 50223, 854, 3782, 343, 23, 7509, 8869, 639, 1134, 5, 50223, 328, 5, 1504, 26299, 832, 4418, 44092, 269, 18, 5874, 8, 35670, 348, 31, 34543, 6, 1361, 517, 7045, 23, 50223, 6248, 16740, 50223, 4172, 250, 287, 12, 14523, 1852, 8869, 639, 1134, 12583, 1168, 3734, 7, 1884, 649, 125, 537, 1785, 7, 38393, 536, 463, 5, 50223, 1046, 158, 5, 10903, 1182, 50223, 24766, 177, 6, 3488, 22983, 1572, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 38133, 15762, 4091, 12, 12253, 361, 524, 8869, 1333, 6610, 8, 2332, 12, 50223, 5012, 462, 50223, 6305, 1848, 18596, 869, 926, 17, 15762, 22599, 6, 5367, 4701, 35550, 38393, 536, 305, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 3334, 303, 15778, 237, 1157, 1228, 30, 8869, 6440, 37311, 6, 13242, 6334, 50223, 299, 50223, 424, 643, 3729, 28693, 18, 8869, 639, 1134, 640, 4927, 4, 93, 10, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 10, 10, 10, 10, 0, 7, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 32175, 373, 50223, 201, 2758, 50223, 1865, 1075, 170, 1059, 237, 1157, 5, 50223, 196, 5, 130, 5012, 450, 2375, 7509, 168, 6, 1361, 708, 10717, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 50223, 290, 1295, 40375, 287, 1732, 10, 8, 364, 16751, 237, 1157, 5, 3206, 7956, 165, 10, 2933, 67, 46622, 50223, 4767, 1756, 19328, 2584, 11145, 5013, 29897, 11890, 7, 574, 1732, 34543, 6, 1361, 50223, 37981, 50223, 379, 19086, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 50223, 259, 5, 159, 265, 4, 93, 28013, 591, 4085, 4, 7, 39, 99, 34543, 6, 1361, 517, 7045, 23, 791, 3938, 12, 14523, 1852, 50223, 205, 2201, 639, 1134, 35204, 4, 25, 24, 574, 1732, 9, 5341, 4507, 7509, 168, 6, 1361, 50223, 209, 643, 50223, 379, 37884, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 3837, 1087, 82, 2552, 1100, 1301, 50223, 147, 1402, 654, 13164, 2875, 4, 50223, 11915, 48, 22875, 373, 19225, 18757, 7433, 7, 574, 67, 6849, 134, 780, 1732, 5, 34124, 7306, 400, 28, 27414, 423, 50223, 96, 7956, 168, 6, 1361, 708, 10717, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 7, 50223, 1178, 193, 831, 50223, 4767, 6849, 134, 780, 1732, 4, 20112, 1991, 8380, 80, 41556, 30, 237, 8195, 4, 8, 648, 48, 2747, 574, 50223, 4767, 5012, 287, 50223, 854, 3782, 343, 23, 7509, 8869, 639, 1134, 5, 50223, 328, 5, 1504, 26299, 832, 4418, 44092, 269, 18, 5874, 8, 35670, 348, 31, 34543, 6, 1361, 517, 7045, 23, 50223, 6248, 16740, 50223, 4172, 250, 287, 12, 14523, 1852, 8869, 639, 1134, 12583, 1168, 3734, 7, 1884, 649, 125, 537, 1785, 7, 38393, 536, 463, 5, 50223, 1046, 158, 5, 10903, 1182, 50223, 24766, 177, 6, 3488, 22983, 1572, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 38133, 15762, 4091, 12, 12253, 361, 524, 8869, 1333, 6610, 8, 2332, 12, 50223, 5012, 462, 50223, 6305, 1848, 18596, 869, 926, 17, 15762, 22599, 6, 5367, 4701, 35550, 38393, 536, 305, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 3334, 303, 15778, 237, 1157, 1228, 30, 8869, 6440, 37311, 6, 13242, 6334, 50223, 299, 50223, 424, 643, 3729, 28693, 18, 8869, 639, 1134, 640, 4927, 4, 93, 10, 740, 3334, 50223, 1210, 16974, 4222, 50223, 379, 7584, 536, 305, 5, 267, 3249, 5395, 12701, 10, 29897, 1672, 2933, 3734, 11850, 6603, 7509, 453, 50245, 17, 50223, 4696, 50223, 88, 23018, 28931, 12701, 10, 29897, 1672, 2933, 19276, 11850, 6603, 7509, 453, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 27292, 23, 6208, 4950, 7, 8869, 1323, 750, 6, 37, 10, 2933, 21374, 1771, 50223, 190, 50223, 455, 132, 2185, 1042, 21455, 1157, 5, 50223, 328, 5, 3206, 7956, 165, 10, 2933, 427, 50223, 71, 50191, 11619, 9661, 5367, 2002, 1179, 4, 39, 9, 14199, 9115, 7509, 453, 8869, 639, 50223, 1751, 467, 4, 50223, 211, 50191, 8764, 8869, 248, 488, 82, 237, 1157, 4, 50223, 134, 50191, 15575, 12253, 12702, 8869, 248, 488, 8, 1179, 7, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 3837, 1087, 82, 2552, 1100, 1301, 50223, 147, 1402, 654, 13164, 2875, 4, 50223, 11915, 48, 22875, 373, 19225, 18757, 7433, 7, 574, 67, 6849, 134, 780, 1732, 5, 34124, 7306, 400, 28, 27414, 423, 50223, 96, 7956, 168, 6, 1361, 708, 10717, 23, 791, 3938, 12, 14523, 1852, 8869, 639, 1134, 7, 50223, 1178, 193, 831, 50223, 4767, 6849, 134, 780, 1732, 4, 20112, 1991, 8380, 80, 41556, 30, 237, 8195, 4, 8, 648, 48, 2747, 574, 50223, 4767, 5012, 287, 50223, 854, 3782, 343, 23, 7509, 8869, 639, 1134, 5, 50223, 328, 5, 1504, 26299, 832, 4418, 44092, 269, 18, 5874, 8, 35670, 348, 31, 34543, 6, 1361, 517, 7045, 23, 50223, 6248, 16740, 50223, 4172, 250, 287, 12, 14523, 1852, 8869, 639, 1134, 12583, 1168, 3734, 7, 1884, 649, 125, 537, 1785, 7, 38393, 536, 463, 5, 50223, 1046, 158, 5, 10903, 1182, 50223, 24766, 177, 6, 3488, 22983, 1572, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 38133, 15762, 4091, 12, 12253, 361, 524, 8869, 1333, 6610, 8, 2332, 12, 50223, 5012, 462, 50223, 6305, 1848, 18596, 869, 926, 17, 15762, 22599, 6, 5367, 4701, 35550, 38393, 536, 305, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 3334, 303, 15778, 237, 1157, 1228, 30, 8869, 6440, 37311, 6, 13242, 6334, 50223, 299, 50223, 424, 643, 3729, 28693, 18, 8869, 639, 1134, 640, 4927, 4, 93, 10, 740, 3334, 50223, 1210, 16974, 4222, 50223, 379, 7584, 536, 305, 5, 267, 3249, 5395, 12701, 10, 29897, 1672, 2933, 3734, 11850, 6603, 7509, 453, 50245, 17, 50223, 4696, 50223, 88, 23018, 28931, 12701, 10, 29897, 1672, 2933, 19276, 11850, 6603, 7509, 453, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 27292, 23, 6208, 4950, 7, 8869, 1323, 750, 6, 37, 10, 2933, 21374, 1771, 50223, 190, 50223, 455, 132, 2185, 1042, 21455, 1157, 5, 50223, 328, 5, 3206, 7956, 165, 10, 2933, 427, 50223, 71, 50191, 11619, 9661, 5367, 2002, 1179, 4, 39, 9, 14199, 9115, 7509, 453, 8869, 639, 50223, 1751, 467, 4, 50223, 211, 50191, 8764, 8869, 248, 488, 82, 237, 1157, 4, 50223, 134, 50191, 15575, 12253, 12702, 8869, 248, 488, 8, 1179, 7, 2101, 2183, 4, 50223, 201, 50191, 11850, 10704, 180, 29897, 11890, 306, 1458, 1049, 4, 39, 31, 740, 7, 3242, 21403, 50223, 31659, 1182, 23077, 24504, 581, 1680, 5, 207, 5183, 5, 6, 50191, 638, 17, 15762, 22599, 4, 50223, 179, 50191, 15575, 5111, 7, 38393, 536, 463, 5, 50223, 266, 5, 1504, 25808, 7509, 453, 55, 67, 11659, 928, 7, 29218, 1618, 7509, 116, 1157, 7, 8869, 248, 488, 50223, 23907, 71, 50223, 18246, 2901, 50245, 93, 10, 13975, 1648, 85, 4, 779, 37741, 2069, 4, 95, 9, 14140, 254, 19, 2810, 5, 4458, 11659, 928, 50223, 86, 50223, 1865, 361, 3172, 282, 7509, 116, 1157, 375, 10381, 5617, 18, 969, 509, 29, 23896, 7509, 453, 8869, 639, 50223, 1751, 467, 5, 50223, 1046, 158, 5, 159, 1182, 50223, 3023, 2, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100 ]
[ 0, 12, 14523, 1852, 8869, 639, 1134, 12583, 1168, 3734, 7, 1884, 649, 125, 537, 1785, 7, 38393, 536, 463, 5, 50223, 1046, 158, 5, 10903, 1182, 50223, 24766, 177, 6, 3488, 22983, 1572, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 38133, 15762, 4091, 12, 12253, 361, 524, 8869, 1333, 6610, 8, 2332, 12, 50223, 5012, 462, 50223, 6305, 1848, 18596, 869, 926, 17, 15762, 22599, 6, 5367, 4701, 35550, 38393, 536, 305, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 3334, 303, 15778, 237, 1157, 1228, 30, 8869, 6440, 37311, 6, 13242, 6334, 50223, 299, 50223, 424, 643, 3729, 28693, 18, 8869, 639, 1134, 640, 4927, 4, 93, 10, 740, 3334, 50223, 1210, 16974, 4222, 50223, 379, 7584, 536, 305, 5, 267, 3249, 5395, 12701, 10, 29897, 1672, 2933, 3734, 11850, 6603, 7509, 453, 50245, 17, 50223, 4696, 50223, 88, 23018, 28931, 12701, 10, 29897, 1672, 2933, 19276, 11850, 6603, 7509, 453, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 27292, 23, 6208, 4950, 7, 8869, 1323, 750, 6, 37, 10, 2933, 21374, 1771, 50223, 190, 50223, 455, 132, 2185, 1042, 21455, 1157, 5, 50223, 328, 5, 3206, 7956, 165, 10, 2933, 427, 50223, 71, 50191, 11619, 9661, 5367, 2002, 1179, 4, 39, 9, 14199, 9115, 7509, 453, 8869, 639, 50223, 1751, 467, 4, 50223, 211, 50191, 8764, 8869, 248, 488, 82, 237, 1157, 4, 50223, 134, 50191, 15575, 12253, 12702, 8869, 248, 488, 8, 1179, 7, 2101, 2183, 4, 50223, 201, 50191, 11850, 10704, 180, 29897, 11890, 306, 1458, 1049, 4, 39, 31, 740, 7, 3242, 21403, 50223, 31659, 1182, 23077, 24504, 581, 1680, 5, 207, 5183, 5, 6, 50191, 638, 17, 15762, 22599, 4, 50223, 179, 50191, 15575, 5111, 7, 38393, 536, 463, 5, 50223, 266, 5, 1504, 25808, 7509, 453, 55, 67, 11659, 928, 7, 29218, 1618, 7509, 116, 1157, 7, 8869, 248, 488, 50223, 23907, 71, 50223, 18246, 2901, 50245, 93, 10, 13975, 1648, 85, 4, 779, 37741, 2069, 4, 95, 9, 14140, 254, 19, 2810, 5, 4458, 11659, 928, 50223, 86, 50223, 1865, 361, 3172, 282, 7509, 116, 1157, 375, 10381, 5617, 18, 969, 509, 29, 23896, 7509, 453, 8869, 639, 50223, 1751, 467, 5, 50223, 1046, 158, 5, 159, 1182, 50223, 3023, 41303, 7509, 116, 1157, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 3734, 11850, 16069, 7509, 453, 7, 16268, 541, 7509, 116, 1157, 4, 50223, 4326, 9404, 50223, 26629, 1405, 11910, 7671, 4, 57, 9, 55, 8869, 248, 488, 3599, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 7509, 176, 3305, 121, 38351, 4, 93, 50223, 71, 50191, 19290, 10214, 7, 38393, 536, 463, 21009, 2362, 42622, 34345, 8869, 639, 1134, 4, 50223, 211, 50191, 9, 15762, 4091, 27055, 4, 50223, 134, 50191, 7509, 165, 65, 28, 6401, 3473, 29103, 1136, 34543, 23, 17936, 8869, 639, 1134, 5, 50223, 259, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 2993, 5630, 8, 11984, 150, 5, 5183, 5, 6, 50191, 6, 657, 50191, 2, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100 ]
[ 0, 267, 3249, 5395, 12701, 10, 29897, 1672, 2933, 3734, 11850, 6603, 7509, 453, 50245, 17, 50223, 4696, 50223, 88, 23018, 28931, 12701, 10, 29897, 1672, 2933, 19276, 11850, 6603, 7509, 453, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 27292, 23, 6208, 4950, 7, 8869, 1323, 750, 6, 37, 10, 2933, 21374, 1771, 50223, 190, 50223, 455, 132, 2185, 1042, 21455, 1157, 5, 50223, 328, 5, 3206, 7956, 165, 10, 2933, 427, 50223, 71, 50191, 11619, 9661, 5367, 2002, 1179, 4, 39, 9, 14199, 9115, 7509, 453, 8869, 639, 50223, 1751, 467, 4, 50223, 211, 50191, 8764, 8869, 248, 488, 82, 237, 1157, 4, 50223, 134, 50191, 15575, 12253, 12702, 8869, 248, 488, 8, 1179, 7, 2101, 2183, 4, 50223, 201, 50191, 11850, 10704, 180, 29897, 11890, 306, 1458, 1049, 4, 39, 31, 740, 7, 3242, 21403, 50223, 31659, 1182, 23077, 24504, 581, 1680, 5, 207, 5183, 5, 6, 50191, 638, 17, 15762, 22599, 4, 50223, 179, 50191, 15575, 5111, 7, 38393, 536, 463, 5, 50223, 266, 5, 1504, 25808, 7509, 453, 55, 67, 11659, 928, 7, 29218, 1618, 7509, 116, 1157, 7, 8869, 248, 488, 50223, 23907, 71, 50223, 18246, 2901, 50245, 93, 10, 13975, 1648, 85, 4, 779, 37741, 2069, 4, 95, 9, 14140, 254, 19, 2810, 5, 4458, 11659, 928, 50223, 86, 50223, 1865, 361, 3172, 282, 7509, 116, 1157, 375, 10381, 5617, 18, 969, 509, 29, 23896, 7509, 453, 8869, 639, 50223, 1751, 467, 5, 50223, 1046, 158, 5, 159, 1182, 50223, 3023, 41303, 7509, 116, 1157, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 3734, 11850, 16069, 7509, 453, 7, 16268, 541, 7509, 116, 1157, 4, 50223, 4326, 9404, 50223, 26629, 1405, 11910, 7671, 4, 57, 9, 55, 8869, 248, 488, 3599, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 7509, 176, 3305, 121, 38351, 4, 93, 50223, 71, 50191, 19290, 10214, 7, 38393, 536, 463, 21009, 2362, 42622, 34345, 8869, 639, 1134, 4, 50223, 211, 50191, 9, 15762, 4091, 27055, 4, 50223, 134, 50191, 7509, 165, 65, 28, 6401, 3473, 29103, 1136, 34543, 23, 17936, 8869, 639, 1134, 5, 50223, 259, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 2993, 5630, 8, 11984, 150, 5, 5183, 5, 6, 50191, 6, 657, 50191, 4, 438, 50223, 944, 50223, 4468, 956, 991, 7509, 453, 3334, 517, 8869, 248, 488, 6, 7, 2101, 2183, 39353, 4196, 8224, 81, 913, 50223, 6101, 18669, 14938, 28388, 7, 634, 8869, 248, 488, 5, 225, 1402, 654, 13164, 1672, 10, 38, 17655, 163, 10788, 20927, 82, 3792, 50223, 259, 5, 50223, 15198, 105, 5, 71, 50191, 6, 657, 50191, 2933, 14600, 7509, 116, 1157, 24353, 7509, 2042, 2330, 416, 2535, 11910, 7671, 4, 50223, 5955, 50223, 299, 55, 8869, 248, 488, 3599, 50245, 93, 120, 37, 10, 5812, 9272, 7509, 453, 33, 10336, 7509, 453, 4, 6569, 172, 706, 50223, 209, 14820, 537, 7, 750, 24028, 755, 7, 38393, 536, 463, 5, 50223, 328, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 150, 5, 5183, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 306, 1458, 1049, 4, 39, 31, 740, 7, 3242, 21403, 50223, 31659, 1182, 23077, 24504, 581, 1680, 5, 207, 5183, 5, 6, 50191, 638, 17, 15762, 22599, 4, 50223, 179, 50191, 15575, 5111, 7, 38393, 536, 463, 5, 50223, 266, 5, 1504, 25808, 7509, 453, 55, 67, 11659, 928, 7, 29218, 1618, 7509, 116, 1157, 7, 8869, 248, 488, 50223, 23907, 71, 50223, 18246, 2901, 50245, 93, 10, 13975, 1648, 85, 4, 779, 37741, 2069, 4, 95, 9, 14140, 254, 19, 2810, 5, 4458, 11659, 928, 50223, 86, 50223, 1865, 361, 3172, 282, 7509, 116, 1157, 375, 10381, 5617, 18, 969, 509, 29, 23896, 7509, 453, 8869, 639, 50223, 1751, 467, 5, 50223, 1046, 158, 5, 159, 1182, 50223, 3023, 41303, 7509, 116, 1157, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 3734, 11850, 16069, 7509, 453, 7, 16268, 541, 7509, 116, 1157, 4, 50223, 4326, 9404, 50223, 26629, 1405, 11910, 7671, 4, 57, 9, 55, 8869, 248, 488, 3599, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 7509, 176, 3305, 121, 38351, 4, 93, 50223, 71, 50191, 19290, 10214, 7, 38393, 536, 463, 21009, 2362, 42622, 34345, 8869, 639, 1134, 4, 50223, 211, 50191, 9, 15762, 4091, 27055, 4, 50223, 134, 50191, 7509, 165, 65, 28, 6401, 3473, 29103, 1136, 34543, 23, 17936, 8869, 639, 1134, 5, 50223, 259, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 2993, 5630, 8, 11984, 150, 5, 5183, 5, 6, 50191, 6, 657, 50191, 4, 438, 50223, 944, 50223, 4468, 956, 991, 7509, 453, 3334, 517, 8869, 248, 488, 6, 7, 2101, 2183, 39353, 4196, 8224, 81, 913, 50223, 6101, 18669, 14938, 28388, 7, 634, 8869, 248, 488, 5, 225, 1402, 654, 13164, 1672, 10, 38, 17655, 163, 10788, 20927, 82, 3792, 50223, 259, 5, 50223, 15198, 105, 5, 71, 50191, 6, 657, 50191, 2933, 14600, 7509, 116, 1157, 24353, 7509, 2042, 2330, 416, 2535, 11910, 7671, 4, 50223, 5955, 50223, 299, 55, 8869, 248, 488, 3599, 50245, 93, 120, 37, 10, 5812, 9272, 7509, 453, 33, 10336, 7509, 453, 4, 6569, 172, 706, 50223, 209, 14820, 537, 7, 750, 24028, 755, 7, 38393, 536, 463, 5, 50223, 328, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 150, 5, 5183, 5, 593, 50191, 4, 10, 2933, 14600, 50223, 201, 2866, 1582, 7509, 2042, 5617, 18, 556, 1405, 28, 23486, 12621, 4, 7, 376, 99, 34543, 35204, 50245, 50223, 424, 50223, 218, 37, 10, 5812, 9272, 7509, 453, 33, 10336, 7509, 453, 4, 6569, 172, 706, 6895, 7, 750, 24028, 755, 50223, 86, 50223, 379, 7584, 536, 463, 5, 50223, 266, 5, 1368, 29897, 1672, 42308, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 150, 5, 5183, 5, 593, 50191, 6, 7509, 165, 10, 50223, 3829, 616, 4, 50223, 929, 15870, 96, 19917, 28013, 591, 18, 969, 509, 3323, 864, 12539, 21744, 5, 225, 1402, 654, 13164, 1672, 42921, 50223, 96, 7956, 453, 4, 50223, 3486, 5617, 18, 237, 12621, 20421, 1092, 15, 8869, 639, 1134, 16300, 28388, 50245, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 225, 1402, 654, 13164, 1672, 10, 2933, 3734, 11850, 16069, 7509, 453, 7, 16268, 541, 7509, 116, 1157, 4, 50223, 4326, 9404, 50223, 26629, 1405, 11910, 7671, 4, 57, 9, 55, 8869, 248, 488, 3599, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 7509, 176, 3305, 121, 38351, 4, 93, 50223, 71, 50191, 19290, 10214, 7, 38393, 536, 463, 21009, 2362, 42622, 34345, 8869, 639, 1134, 4, 50223, 211, 50191, 9, 15762, 4091, 27055, 4, 50223, 134, 50191, 7509, 165, 65, 28, 6401, 3473, 29103, 1136, 34543, 23, 17936, 8869, 639, 1134, 5, 50223, 259, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 2993, 5630, 8, 11984, 150, 5, 5183, 5, 6, 50191, 6, 657, 50191, 4, 438, 50223, 944, 50223, 4468, 956, 991, 7509, 453, 3334, 517, 8869, 248, 488, 6, 7, 2101, 2183, 39353, 4196, 8224, 81, 913, 50223, 6101, 18669, 14938, 28388, 7, 634, 8869, 248, 488, 5, 225, 1402, 654, 13164, 1672, 10, 38, 17655, 163, 10788, 20927, 82, 3792, 50223, 259, 5, 50223, 15198, 105, 5, 71, 50191, 6, 657, 50191, 2933, 14600, 7509, 116, 1157, 24353, 7509, 2042, 2330, 416, 2535, 11910, 7671, 4, 50223, 5955, 50223, 299, 55, 8869, 248, 488, 3599, 50245, 93, 120, 37, 10, 5812, 9272, 7509, 453, 33, 10336, 7509, 453, 4, 6569, 172, 706, 50223, 209, 14820, 537, 7, 750, 24028, 755, 7, 38393, 536, 463, 5, 50223, 328, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 150, 5, 5183, 5, 593, 50191, 4, 10, 2933, 14600, 50223, 201, 2866, 1582, 7509, 2042, 5617, 18, 556, 1405, 28, 23486, 12621, 4, 7, 376, 99, 34543, 35204, 50245, 50223, 424, 50223, 218, 37, 10, 5812, 9272, 7509, 453, 33, 10336, 7509, 453, 4, 6569, 172, 706, 6895, 7, 750, 24028, 755, 50223, 86, 50223, 379, 7584, 536, 463, 5, 50223, 266, 5, 1368, 29897, 1672, 42308, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 150, 5, 5183, 5, 593, 50191, 6, 7509, 165, 10, 50223, 3829, 616, 4, 50223, 929, 15870, 96, 19917, 28013, 591, 18, 969, 509, 3323, 864, 12539, 21744, 5, 225, 1402, 654, 13164, 1672, 42921, 50223, 96, 7956, 453, 4, 50223, 3486, 5617, 18, 237, 12621, 20421, 1092, 15, 8869, 639, 1134, 16300, 28388, 50245, 28, 23486, 50223, 929, 15870, 116, 50223, 11581, 148, 9, 16300, 28388, 2630, 9, 10707, 1341, 778, 82, 1182, 23077, 24504, 25974, 28913, 19088, 5, 50223, 444, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 150, 5, 5183, 5, 593, 50191, 6, 7509, 165, 37, 50223, 278, 50223, 3829, 616, 4, 6569, 172, 14600, 7509, 116, 1157, 7, 750, 24028, 755, 7, 38393, 536, 463, 5, 3023, 15870, 96, 19917, 50223, 1006, 246, 591, 50223, 3684, 585, 3323, 864, 4, 10718, 1038, 34543, 35204, 5, 225, 1402, 654, 13164, 1672, 28, 18814, 28, 706, 31565, 50223, 6101, 18669, 9850, 50223, 24580, 511, 7, 8869, 1323, 750, 12, 11183, 4, 13, 284, 17, 1943, 6907, 25401, 4, 303, 533, 9, 141, 7509, 165, 50223, 1600, 28546, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100 ]
[ 0, 3334, 517, 8869, 248, 488, 6, 7, 2101, 2183, 39353, 4196, 8224, 81, 913, 50223, 6101, 18669, 14938, 28388, 7, 634, 8869, 248, 488, 5, 225, 1402, 654, 13164, 1672, 10, 38, 17655, 163, 10788, 20927, 82, 3792, 50223, 259, 5, 50223, 15198, 105, 5, 71, 50191, 6, 657, 50191, 2933, 14600, 7509, 116, 1157, 24353, 7509, 2042, 2330, 416, 2535, 11910, 7671, 4, 50223, 5955, 50223, 299, 55, 8869, 248, 488, 3599, 50245, 93, 120, 37, 10, 5812, 9272, 7509, 453, 33, 10336, 7509, 453, 4, 6569, 172, 706, 50223, 209, 14820, 537, 7, 750, 24028, 755, 7, 38393, 536, 463, 5, 50223, 328, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 150, 5, 5183, 5, 593, 50191, 4, 10, 2933, 14600, 50223, 201, 2866, 1582, 7509, 2042, 5617, 18, 556, 1405, 28, 23486, 12621, 4, 7, 376, 99, 34543, 35204, 50245, 50223, 424, 50223, 218, 37, 10, 5812, 9272, 7509, 453, 33, 10336, 7509, 453, 4, 6569, 172, 706, 6895, 7, 750, 24028, 755, 50223, 86, 50223, 379, 7584, 536, 463, 5, 50223, 266, 5, 1368, 29897, 1672, 42308, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 150, 5, 5183, 5, 593, 50191, 6, 7509, 165, 10, 50223, 3829, 616, 4, 50223, 929, 15870, 96, 19917, 28013, 591, 18, 969, 509, 3323, 864, 12539, 21744, 5, 225, 1402, 654, 13164, 1672, 42921, 50223, 96, 7956, 453, 4, 50223, 3486, 5617, 18, 237, 12621, 20421, 1092, 15, 8869, 639, 1134, 16300, 28388, 50245, 28, 23486, 50223, 929, 15870, 116, 50223, 11581, 148, 9, 16300, 28388, 2630, 9, 10707, 1341, 778, 82, 1182, 23077, 24504, 25974, 28913, 19088, 5, 50223, 444, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 150, 5, 5183, 5, 593, 50191, 6, 7509, 165, 37, 50223, 278, 50223, 3829, 616, 4, 6569, 172, 14600, 7509, 116, 1157, 7, 750, 24028, 755, 7, 38393, 536, 463, 5, 3023, 15870, 96, 19917, 50223, 1006, 246, 591, 50223, 3684, 585, 3323, 864, 4, 10718, 1038, 34543, 35204, 5, 225, 1402, 654, 13164, 1672, 28, 18814, 28, 706, 31565, 50223, 6101, 18669, 9850, 50223, 24580, 511, 7, 8869, 1323, 750, 12, 11183, 4, 13, 284, 17, 1943, 6907, 25401, 4, 303, 533, 9, 141, 7509, 165, 50223, 1600, 28546, 50245, 28, 23486, 17655, 116, 12621, 9, 16300, 28388, 2630, 23, 10707, 1341, 778, 82, 1182, 23077, 24504, 50223, 2247, 266, 50223, 1556, 14556, 874, 19088, 5, 50223, 497, 5, 1368, 29897, 1672, 19794, 82, 1744, 352, 5, 6, 429, 551, 438, 3334, 2259, 738, 30476, 8869, 639, 50223, 1751, 467, 60, 5954, 1485, 6170, 68, 2447, 23724, 28388, 5, 50223, 1046, 158, 5, 15776, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 2520, 5783, 30521, 42015, 610, 3507, 21737, 9, 1154, 6, 3488, 22983, 1572, 50223, 16044, 164, 50223, 6101, 18669, 462, 41090, 28913, 19088, 6, 42297, 25455, 18596, 869, 50223, 170, 21605, 81, 50223, 143, 15762, 22599, 5, 50223, 196, 5, 43001, 3729, 1458, 4, 33, 8480, 30, 237, 8195, 375, 8365, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 14600, 50223, 201, 2866, 1582, 7509, 2042, 5617, 18, 556, 1405, 28, 23486, 12621, 4, 7, 376, 99, 34543, 35204, 50245, 50223, 424, 50223, 218, 37, 10, 5812, 9272, 7509, 453, 33, 10336, 7509, 453, 4, 6569, 172, 706, 6895, 7, 750, 24028, 755, 50223, 86, 50223, 379, 7584, 536, 463, 5, 50223, 266, 5, 1368, 29897, 1672, 42308, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 150, 5, 5183, 5, 593, 50191, 6, 7509, 165, 10, 50223, 3829, 616, 4, 50223, 929, 15870, 96, 19917, 28013, 591, 18, 969, 509, 3323, 864, 12539, 21744, 5, 225, 1402, 654, 13164, 1672, 42921, 50223, 96, 7956, 453, 4, 50223, 3486, 5617, 18, 237, 12621, 20421, 1092, 15, 8869, 639, 1134, 16300, 28388, 50245, 28, 23486, 50223, 929, 15870, 116, 50223, 11581, 148, 9, 16300, 28388, 2630, 9, 10707, 1341, 778, 82, 1182, 23077, 24504, 25974, 28913, 19088, 5, 50223, 444, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 150, 5, 5183, 5, 593, 50191, 6, 7509, 165, 37, 50223, 278, 50223, 3829, 616, 4, 6569, 172, 14600, 7509, 116, 1157, 7, 750, 24028, 755, 7, 38393, 536, 463, 5, 3023, 15870, 96, 19917, 50223, 1006, 246, 591, 50223, 3684, 585, 3323, 864, 4, 10718, 1038, 34543, 35204, 5, 225, 1402, 654, 13164, 1672, 28, 18814, 28, 706, 31565, 50223, 6101, 18669, 9850, 50223, 24580, 511, 7, 8869, 1323, 750, 12, 11183, 4, 13, 284, 17, 1943, 6907, 25401, 4, 303, 533, 9, 141, 7509, 165, 50223, 1600, 28546, 50245, 28, 23486, 17655, 116, 12621, 9, 16300, 28388, 2630, 23, 10707, 1341, 778, 82, 1182, 23077, 24504, 50223, 2247, 266, 50223, 1556, 14556, 874, 19088, 5, 50223, 497, 5, 1368, 29897, 1672, 19794, 82, 1744, 352, 5, 6, 429, 551, 438, 3334, 2259, 738, 30476, 8869, 639, 50223, 1751, 467, 60, 5954, 1485, 6170, 68, 2447, 23724, 28388, 5, 50223, 1046, 158, 5, 15776, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 2520, 5783, 30521, 42015, 610, 3507, 21737, 9, 1154, 6, 3488, 22983, 1572, 50223, 16044, 164, 50223, 6101, 18669, 462, 41090, 28913, 19088, 6, 42297, 25455, 18596, 869, 50223, 170, 21605, 81, 50223, 143, 15762, 22599, 5, 50223, 196, 5, 43001, 3729, 1458, 4, 33, 8480, 30, 237, 8195, 375, 8365, 36, 8380, 185, 22376, 4, 6, 11, 3150, 50223, 48627, 361, 90, 30, 8195, 4, 47, 438, 91, 14039, 816, 17258, 16851, 462, 14643, 5, 50223, 259, 5, 34124, 7306, 400, 35985, 407, 4, 13, 706, 3305, 25888, 14451, 6, 2029, 4, 37, 8, 25744, 151, 6, 23, 863, 6777, 50223, 52, 2802, 702, 163, 2318, 4, 46503, 14, 149, 4, 18577, 14476, 102, 6, 1492, 169, 102, 2722, 6, 3831, 50223, 320, 16036, 50223, 96, 1751, 1096, 4, 35, 22925, 37814, 3107, 5114, 63, 5, 50223, 328, 5, 12256, 5885, 10, 8868, 406, 8, 556, 2557, 2186, 553, 4, 15, 349, 3606, 16851, 96, 1247, 456, 23286, 50223, 10401, 50223, 548, 219, 2186, 5, 50223, 266, 5, 12256, 5885, 26545, 15372, 6, 8618, 7671, 28095, 22983, 1572, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100 ]
[ 0, 9, 16300, 28388, 2630, 9, 10707, 1341, 778, 82, 1182, 23077, 24504, 25974, 28913, 19088, 5, 50223, 444, 5, 1368, 29897, 1672, 121, 38351, 7509, 176, 3305, 15, 1924, 13709, 8, 11984, 150, 5, 5183, 5, 593, 50191, 6, 7509, 165, 37, 50223, 278, 50223, 3829, 616, 4, 6569, 172, 14600, 7509, 116, 1157, 7, 750, 24028, 755, 7, 38393, 536, 463, 5, 3023, 15870, 96, 19917, 50223, 1006, 246, 591, 50223, 3684, 585, 3323, 864, 4, 10718, 1038, 34543, 35204, 5, 225, 1402, 654, 13164, 1672, 28, 18814, 28, 706, 31565, 50223, 6101, 18669, 9850, 50223, 24580, 511, 7, 8869, 1323, 750, 12, 11183, 4, 13, 284, 17, 1943, 6907, 25401, 4, 303, 533, 9, 141, 7509, 165, 50223, 1600, 28546, 50245, 28, 23486, 17655, 116, 12621, 9, 16300, 28388, 2630, 23, 10707, 1341, 778, 82, 1182, 23077, 24504, 50223, 2247, 266, 50223, 1556, 14556, 874, 19088, 5, 50223, 497, 5, 1368, 29897, 1672, 19794, 82, 1744, 352, 5, 6, 429, 551, 438, 3334, 2259, 738, 30476, 8869, 639, 50223, 1751, 467, 60, 5954, 1485, 6170, 68, 2447, 23724, 28388, 5, 50223, 1046, 158, 5, 15776, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 2520, 5783, 30521, 42015, 610, 3507, 21737, 9, 1154, 6, 3488, 22983, 1572, 50223, 16044, 164, 50223, 6101, 18669, 462, 41090, 28913, 19088, 6, 42297, 25455, 18596, 869, 50223, 170, 21605, 81, 50223, 143, 15762, 22599, 5, 50223, 196, 5, 43001, 3729, 1458, 4, 33, 8480, 30, 237, 8195, 375, 8365, 36, 8380, 185, 22376, 4, 6, 11, 3150, 50223, 48627, 361, 90, 30, 8195, 4, 47, 438, 91, 14039, 816, 17258, 16851, 462, 14643, 5, 50223, 259, 5, 34124, 7306, 400, 35985, 407, 4, 13, 706, 3305, 25888, 14451, 6, 2029, 4, 37, 8, 25744, 151, 6, 23, 863, 6777, 50223, 52, 2802, 702, 163, 2318, 4, 46503, 14, 149, 4, 18577, 14476, 102, 6, 1492, 169, 102, 2722, 6, 3831, 50223, 320, 16036, 50223, 96, 1751, 1096, 4, 35, 22925, 37814, 3107, 5114, 63, 5, 50223, 328, 5, 12256, 5885, 10, 8868, 406, 8, 556, 2557, 2186, 553, 4, 15, 349, 3606, 16851, 96, 1247, 456, 23286, 50223, 10401, 50223, 548, 219, 2186, 5, 50223, 266, 5, 12256, 5885, 26545, 15372, 6, 8618, 7671, 28095, 22983, 1572, 5, 159, 265, 4, 93, 960, 50223, 100, 32445, 177, 50223, 4595, 41918, 3488, 17860, 8, 2332, 12, 42297, 25455, 18596, 869, 926, 4, 960, 50223, 100, 32445, 177, 50223, 86, 3782, 293, 285, 8618, 17749, 364, 28, 102, 27009, 455, 33619, 5, 50223, 859, 45926, 3534, 553, 4, 864, 292, 5, 1260, 5, 1508, 3100, 5, 50223, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 50223, 147, 1402, 654, 13164, 1672, 7509, 165, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 9, 16300, 28388, 2630, 23, 10707, 1341, 778, 82, 1182, 23077, 24504, 50223, 2247, 266, 50223, 1556, 14556, 874, 19088, 5, 50223, 497, 5, 1368, 29897, 1672, 19794, 82, 1744, 352, 5, 6, 429, 551, 438, 3334, 2259, 738, 30476, 8869, 639, 50223, 1751, 467, 60, 5954, 1485, 6170, 68, 2447, 23724, 28388, 5, 50223, 1046, 158, 5, 15776, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 2520, 5783, 30521, 42015, 610, 3507, 21737, 9, 1154, 6, 3488, 22983, 1572, 50223, 16044, 164, 50223, 6101, 18669, 462, 41090, 28913, 19088, 6, 42297, 25455, 18596, 869, 50223, 170, 21605, 81, 50223, 143, 15762, 22599, 5, 50223, 196, 5, 43001, 3729, 1458, 4, 33, 8480, 30, 237, 8195, 375, 8365, 36, 8380, 185, 22376, 4, 6, 11, 3150, 50223, 48627, 361, 90, 30, 8195, 4, 47, 438, 91, 14039, 816, 17258, 16851, 462, 14643, 5, 50223, 259, 5, 34124, 7306, 400, 35985, 407, 4, 13, 706, 3305, 25888, 14451, 6, 2029, 4, 37, 8, 25744, 151, 6, 23, 863, 6777, 50223, 52, 2802, 702, 163, 2318, 4, 46503, 14, 149, 4, 18577, 14476, 102, 6, 1492, 169, 102, 2722, 6, 3831, 50223, 320, 16036, 50223, 96, 1751, 1096, 4, 35, 22925, 37814, 3107, 5114, 63, 5, 50223, 328, 5, 12256, 5885, 10, 8868, 406, 8, 556, 2557, 2186, 553, 4, 15, 349, 3606, 16851, 96, 1247, 456, 23286, 50223, 10401, 50223, 548, 219, 2186, 5, 50223, 266, 5, 12256, 5885, 26545, 15372, 6, 8618, 7671, 28095, 22983, 1572, 5, 159, 265, 4, 93, 960, 50223, 100, 32445, 177, 50223, 4595, 41918, 3488, 17860, 8, 2332, 12, 42297, 25455, 18596, 869, 926, 4, 960, 50223, 100, 32445, 177, 50223, 86, 3782, 293, 285, 8618, 17749, 364, 28, 102, 27009, 455, 33619, 5, 50223, 859, 45926, 3534, 553, 4, 864, 292, 5, 1260, 5, 1508, 3100, 5, 50223, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 50223, 147, 1402, 654, 13164, 1672, 7509, 165, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 6, 11, 3150, 50223, 48627, 361, 90, 30, 8195, 4, 47, 438, 91, 14039, 816, 17258, 16851, 462, 14643, 5, 50223, 259, 5, 34124, 7306, 400, 35985, 407, 4, 13, 706, 3305, 25888, 14451, 6, 2029, 4, 37, 8, 25744, 151, 6, 23, 863, 6777, 50223, 52, 2802, 702, 163, 2318, 4, 46503, 14, 149, 4, 18577, 14476, 102, 6, 1492, 169, 102, 2722, 6, 3831, 50223, 320, 16036, 50223, 96, 1751, 1096, 4, 35, 22925, 37814, 3107, 5114, 63, 5, 50223, 328, 5, 12256, 5885, 10, 8868, 406, 8, 556, 2557, 2186, 553, 4, 15, 349, 3606, 16851, 96, 1247, 456, 23286, 50223, 10401, 50223, 548, 219, 2186, 5, 50223, 266, 5, 12256, 5885, 26545, 15372, 6, 8618, 7671, 28095, 22983, 1572, 5, 159, 265, 4, 93, 960, 50223, 100, 32445, 177, 50223, 4595, 41918, 3488, 17860, 8, 2332, 12, 42297, 25455, 18596, 869, 926, 4, 960, 50223, 100, 32445, 177, 50223, 86, 3782, 293, 285, 8618, 17749, 364, 28, 102, 27009, 455, 33619, 5, 50223, 859, 45926, 3534, 553, 4, 864, 292, 5, 1260, 5, 1508, 3100, 5, 50223, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 50223, 147, 1402, 654, 13164, 1672, 7509, 165, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 960, 50223, 100, 32445, 177, 50223, 4595, 41918, 3488, 17860, 8, 2332, 12, 42297, 25455, 18596, 869, 926, 4, 960, 50223, 100, 32445, 177, 50223, 86, 3782, 293, 285, 8618, 17749, 364, 28, 102, 27009, 455, 33619, 5, 50223, 859, 45926, 3534, 553, 4, 864, 292, 5, 1260, 5, 1508, 3100, 5, 50223, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 50223, 147, 1402, 654, 13164, 1672, 7509, 165, 50223, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 1182, 36828, 45225, 2334, 267, 16648, 631, 7495, 311, 2613, 281, 2158, 40107, 13657, 1745, 1783, 1182, 1182, 50223, 1182, 508, 5, 292, 196, 1105, 1164, 2659, 1182, 1182, 1182, 50223, 1865, 1075, 170, 498, 82, 1182, 23077, 24504, 6653, 259, 94, 856, 158, 5, 28913, 19088, 6, 638, 508, 5, 40062, 50209, 10673, 239, 5, 15, 5, 17, 50223, 379, 30787, 22599, 50223, 190, 4083, 6284, 3333, 146, 16774, 6620, 16851, 462, 14643, 50244, 1182, 13894, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 1182, 50223, 13894, 922, 922, 1182, 50223, 107, 5, 1182, 15650, 45926, 35852, 1182, 1182, 1182, 50223, 1930, 7780, 50244, 27921, 325, 6174, 4, 1427, 196, 3317, 45926, 35852, 50223, 367, 13322, 406, 50244, 11680, 5, 2612, 252, 1998, 506, 3414, 252, 4, 9990, 308, 1114, 50223, 272, 24069, 50244, 2985, 1105, 266, 2342, 196, 50223, 182, 15563, 50244, 5476, 9924, 3100, 2278, 50223, 27418, 2477, 50244, 3218, 12126, 563, 7048, 2985, 668, 2985, 668, 11833, 6513, 352, 1164, 196, 50223, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 1182, 29897, 1672, 1182, 1182, 50250, 1182, 1182, 50191, 50223, 119, 5, 1182, 14530, 768, 6238, 325, 1182, 1182, 1182, 50223, 8757, 44975, 25169, 50244, 1182, 2347, 694, 772, 3741, 1182, 50209, 497, 4, 1427, 32218, 45926, 35852, 1182, 1182, 50223, 4571, 8226, 12624, 5, 50244, 1182, 3317, 5, 7062, 5, 1250, 13227, 1182, 1182, 50223, 50189, 32092, 16, 19, 1182, 48870, 25177, 96, 7956, 165, 50250, 50191, 50223, 50189, 147, 1402, 654, 13164, 1672, 6, 7509, 165, 544, 2794, 16, 19, 1182, 48870, 25177, 100, 32445, 7306, 400, 50250, 50191, 50223, 1046, 158, 5, 186, 1182, 1182, 50223, 4458, 6666, 6, 5204, 34345, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 7509, 2042, 18, 34345, 6, 7509, 165, 5166, 18, 34345, 4, 23, 2318, 50223, 470, 1643, 6754, 8, 237, 8195, 50244, 50223, 311, 2201, 248, 488, 508, 5, 1961, 259, 84, 84, 935, 205, 2201, 17, 301, 21042, 15528, 263, 196, 2137, 4129, 84, 1182, 10742, 508, 5, 107, 84, 7, 25797, 50244, 45926, 35852, 1182, 50223, 1182, 27, 27921, 325, 12264, 551, 84, 23, 4301, 597, 1182, 15194, 464, 3046, 18339, 250, 1227, 6, 1182, 1182, 15194, 464, 134, 6435, 1182, 1182, 50223, 50189, 32092, 16, 19, 1182, 48870, 25177, 205, 2201, 248, 488, 50250, 50191, 5, 50223, 196, 5, 311, 2201, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 1182, 50223, 13894, 922, 922, 1182, 50223, 107, 5, 1182, 15650, 45926, 35852, 1182, 1182, 1182, 50223, 1930, 7780, 50244, 27921, 325, 6174, 4, 1427, 196, 3317, 45926, 35852, 50223, 367, 13322, 406, 50244, 11680, 5, 2612, 252, 1998, 506, 3414, 252, 4, 9990, 308, 1114, 50223, 272, 24069, 50244, 2985, 1105, 266, 2342, 196, 50223, 182, 15563, 50244, 5476, 9924, 3100, 2278, 50223, 27418, 2477, 50244, 3218, 12126, 563, 7048, 2985, 668, 2985, 668, 11833, 6513, 352, 1164, 196, 50223, 50189, 32092, 16, 19, 1182, 1182, 48870, 25177, 1182, 29897, 1672, 1182, 1182, 50250, 1182, 1182, 50191, 50223, 119, 5, 1182, 14530, 768, 6238, 325, 1182, 1182, 1182, 50223, 8757, 44975, 25169, 50244, 1182, 2347, 694, 772, 3741, 1182, 50209, 497, 4, 1427, 32218, 45926, 35852, 1182, 1182, 50223, 4571, 8226, 12624, 5, 50244, 1182, 3317, 5, 7062, 5, 1250, 13227, 1182, 1182, 50223, 50189, 32092, 16, 19, 1182, 48870, 25177, 96, 7956, 165, 50250, 50191, 50223, 50189, 147, 1402, 654, 13164, 1672, 6, 7509, 165, 544, 2794, 16, 19, 1182, 48870, 25177, 100, 32445, 7306, 400, 50250, 50191, 50223, 1046, 158, 5, 186, 1182, 1182, 50223, 4458, 6666, 6, 5204, 34345, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 7509, 2042, 18, 34345, 6, 7509, 165, 5166, 18, 34345, 4, 23, 2318, 50223, 470, 1643, 6754, 8, 237, 8195, 50244, 50223, 311, 2201, 248, 488, 508, 5, 1961, 259, 84, 84, 935, 205, 2201, 17, 301, 21042, 15528, 263, 196, 2137, 4129, 84, 1182, 10742, 508, 5, 107, 84, 7, 25797, 50244, 45926, 35852, 1182, 50223, 1182, 27, 27921, 325, 12264, 551, 84, 23, 4301, 597, 1182, 15194, 464, 3046, 18339, 250, 1227, 6, 1182, 1182, 15194, 464, 134, 6435, 1182, 1182, 50223, 50189, 32092, 16, 19, 1182, 48870, 25177, 205, 2201, 248, 488, 50250, 50191, 5, 50223, 196, 5, 311, 2201, 248, 488, 29897, 1672, 17998, 133, 2031, 7509, 2042, 18, 34345, 23, 5198, 8476, 687, 28388, 4, 8869, 81, 50223, 2800, 13458, 449, 3837, 135, 7, 25401, 4418, 44092, 269, 33, 8224, 269, 5, 50223, 259, 5, 1962, 96, 7956, 8869, 639, 1134, 10, 40425, 5, 50223, 1046, 158, 5, 2038, 1182, 50223, 4280, 71, 34345, 1182, 1182, 50223, 253, 5, 12256, 5885, 9, 11708, 7, 1785, 13907, 7, 236, 167, 5, 41590, 9, 3199, 31827, 667, 19, 28, 23486, 50223, 5876, 1308, 2193, 50223, 31659, 638, 508, 5, 638, 508, 5, 40062, 50209, 10673, 239, 5, 15, 5, 17, 15762, 22599, 8, 4083, 6284, 3333, 1182, 50189, 32092, 16, 50223, 1646, 50223, 48870, 25177, 1297, 1282, 17, 15762, 22599, 50250, 50191, 4, 93, 11, 989, 17, 15762, 22599, 6, 960, 5885, 22493, 46761, 660, 5, 50223, 196, 5, 36067, 8764, 8869, 248, 488, 6783, 7509, 2042, 10550, 4456, 237, 1157, 5, 50223, 259, 5, 3206, 7956, 165, 27414, 214, 29897, 11890, 7, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]