Search is not available for this dataset
input_ids
sequencelengths
512
512
attention_mask
sequencelengths
512
512
labels
sequencelengths
512
512
[ 0, 10949, 4, 6587, 610, 50223, 48870, 25177, 315, 3982, 48870, 19594, 4, 38, 10605, 31407, 33012, 71, 17, 4004, 215, 9393, 5, 1182, 50189, 521, 2381, 1034, 18929, 8, 10577, 10713, 31, 3110, 24, 50223, 96, 190, 47194, 1274, 5, 50191, 50223, 497, 5, 3206, 7956, 165, 10, 2933, 826, 4513, 30255, 5989, 7, 48017, 750, 927, 1464, 13549, 980, 15572, 50223, 6074, 249, 71, 5, 159, 7303, 20133, 3372, 7509, 453, 6, 3372, 3884, 687, 7509, 453, 10, 18, 1464, 13549, 980, 50223, 23577, 9189, 10713, 34294, 927, 5746, 1919, 1325, 10713, 5, 50223, 528, 5, 3206, 7956, 165, 10, 2933, 110, 1578, 22057, 35075, 8870, 8687, 30, 12253, 433, 35887, 10463, 50223, 379, 6149, 2193, 20767, 15572, 4907, 29231, 5, 50223, 612, 5, 3206, 7956, 165, 3199, 17998, 11668, 15086, 2464, 1183, 18, 18512, 15027, 12031, 5, 50223, 828, 5, 3206, 7956, 165, 10, 2933, 3862, 6, 7314, 3020, 19478, 23, 7509, 6, 791, 5, 50223, 1164, 5, 3206, 7956, 165, 10, 2933, 28, 6067, 34345, 8882, 12253, 11255, 1183, 18, 8215, 2447, 5, 50223, 1046, 158, 5, 352, 1182, 50223, 130, 1282, 1891, 34345, 1182, 1182, 50223, 1514, 7956, 9, 5645, 46622, 2193, 16399, 8, 9982, 5, 150, 5, 50223, 1108, 46622, 18, 19347, 116, 2193, 9, 7509, 5645, 8380, 185, 22376, 22983, 1572, 33, 8380, 185, 50223, 929, 41303, 252, 5, 159, 20769, 7404, 17, 24714, 34345, 9, 16896, 364, 4, 373, 2419, 7509, 5645, 5, 1368, 364, 50223, 56, 1282, 3439, 34345, 37, 10, 8, 7404, 9128, 4, 5645, 9, 7509, 7671, 16774, 3398, 28, 1090, 4, 57, 124, 50223, 15198, 68, 96, 8042, 29283, 5, 50223, 435, 26613, 3305, 17, 14523, 87, 363, 2099, 28444, 400, 15, 11139, 163, 2993, 50244, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 141, 31827, 3305, 17, 14523, 87, 4, 93, 50244, 50223, 27, 7509, 165, 21517, 12253, 11255, 1183, 8, 7414, 12, 3507, 21737, 50223, 27, 7509, 165, 33, 517, 1371, 4, 39, 35314, 15086, 2464, 1183, 9429, 407, 9705, 191, 3160, 50223, 465, 2164, 12325, 453, 15, 9365, 6223, 30443, 194, 10713, 5, 50223, 27, 99, 31343, 17, 42700, 4574, 33, 17, 18853, 26099, 12484, 10463, 4, 47, 12542, 8764, 50223, 52, 510, 2464, 1183, 7509, 391, 5, 50223, 196, 5, 3206, 7956, 165, 141, 31827, 3305, 17, 108, 96, 8842, 4, 93, 50244, 50223, 27, 16844, 33264, 38133, 1887, 4, 7, 376, 14, 12253, 433, 816, 1183, 9000, 18, 34345, 4, 50223, 27, 9, 12253, 433, 816, 1183, 1875, 110, 23538, 449, 7509, 453, 20922, 214, 346, 7, 28887, 2212, 3110, 17936, 5, 50223, 2015, 15870, 96, 19917, 10, 260, 1636, 6, 1628, 39372, 29, 2375, 864, 4855, 23835, 28, 50223, 201, 2866, 3461, 21744, 747, 28887, 6308, 723, 5, 159, 364, 34022, 34345, 10, 7509, 165, 2933, 14009, 50223, 147, 1402, 654, 13164, 11890, 4121, 2867, 15086, 2464, 1183, 8, 4961, 2372, 4, 8, 7056, 54, 15779, 4, 12, 46823, 7, 50223, 143, 26109, 282, 4, 1216, 10, 45595, 38, 962, 161, 34816, 6, 26486, 374, 5, 50223, 1046, 158, 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 ]
[ -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, 3199, 17998, 11668, 15086, 2464, 1183, 18, 18512, 15027, 12031, 5, 50223, 828, 5, 3206, 7956, 165, 10, 2933, 3862, 6, 7314, 3020, 19478, 23, 7509, 6, 791, 5, 50223, 1164, 5, 3206, 7956, 165, 10, 2933, 28, 6067, 34345, 8882, 12253, 11255, 1183, 18, 8215, 2447, 5, 50223, 1046, 158, 5, 352, 1182, 50223, 130, 1282, 1891, 34345, 1182, 1182, 50223, 1514, 7956, 9, 5645, 46622, 2193, 16399, 8, 9982, 5, 150, 5, 50223, 1108, 46622, 18, 19347, 116, 2193, 9, 7509, 5645, 8380, 185, 22376, 22983, 1572, 33, 8380, 185, 50223, 929, 41303, 252, 5, 159, 20769, 7404, 17, 24714, 34345, 9, 16896, 364, 4, 373, 2419, 7509, 5645, 5, 1368, 364, 50223, 56, 1282, 3439, 34345, 37, 10, 8, 7404, 9128, 4, 5645, 9, 7509, 7671, 16774, 3398, 28, 1090, 4, 57, 124, 50223, 15198, 68, 96, 8042, 29283, 5, 50223, 435, 26613, 3305, 17, 14523, 87, 363, 2099, 28444, 400, 15, 11139, 163, 2993, 50244, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 141, 31827, 3305, 17, 14523, 87, 4, 93, 50244, 50223, 27, 7509, 165, 21517, 12253, 11255, 1183, 8, 7414, 12, 3507, 21737, 50223, 27, 7509, 165, 33, 517, 1371, 4, 39, 35314, 15086, 2464, 1183, 9429, 407, 9705, 191, 3160, 50223, 465, 2164, 12325, 453, 15, 9365, 6223, 30443, 194, 10713, 5, 50223, 27, 99, 31343, 17, 42700, 4574, 33, 17, 18853, 26099, 12484, 10463, 4, 47, 12542, 8764, 50223, 52, 510, 2464, 1183, 7509, 391, 5, 50223, 196, 5, 3206, 7956, 165, 141, 31827, 3305, 17, 108, 96, 8842, 4, 93, 50244, 50223, 27, 16844, 33264, 38133, 1887, 4, 7, 376, 14, 12253, 433, 816, 1183, 9000, 18, 34345, 4, 50223, 27, 9, 12253, 433, 816, 1183, 1875, 110, 23538, 449, 7509, 453, 20922, 214, 346, 7, 28887, 2212, 3110, 17936, 5, 50223, 2015, 15870, 96, 19917, 10, 260, 1636, 6, 1628, 39372, 29, 2375, 864, 4855, 23835, 28, 50223, 201, 2866, 3461, 21744, 747, 28887, 6308, 723, 5, 159, 364, 34022, 34345, 10, 7509, 165, 2933, 14009, 50223, 147, 1402, 654, 13164, 11890, 4121, 2867, 15086, 2464, 1183, 8, 4961, 2372, 4, 8, 7056, 54, 15779, 4, 12, 46823, 7, 50223, 143, 26109, 282, 4, 1216, 10, 45595, 38, 962, 161, 34816, 6, 26486, 374, 5, 50223, 1046, 158, 5, 429, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 33201, 1032, 375, 5455, 36, 8380, 185, 22376, 22983, 1572, 5, 50223, 39919, 9, 8868, 154, 8, 1020, 8868, 7341, 4, 808, 535, 456, 23286, 29897, 1672, 6, 522, 7509, 165, 5, 50223, 39919, 26545, 15372, 7671, 102, 14039, 627, 48913, 1940, 71, 16851, 462, 14643, 6, 8618, 7671, 28, 1090, 50223, 100, 31699, 2581, 8, 11414, 155, 5, 50223, 33201, 7306, 400, 14229, 407, 4, 13, 9, 60, 21737, 18630, 11569, 6507, 4, 102, 3831, 18577, 14476, 6, 7, 7961, 50223, 4468, 956, 582, 149, 5114, 407, 5, 50223, 32, 6815, 884, 104, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ -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, -100, -100, -100, -100, -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, 9, 7509, 7671, 16774, 3398, 28, 1090, 4, 57, 124, 50223, 15198, 68, 96, 8042, 29283, 5, 50223, 435, 26613, 3305, 17, 14523, 87, 363, 2099, 28444, 400, 15, 11139, 163, 2993, 50244, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 141, 31827, 3305, 17, 14523, 87, 4, 93, 50244, 50223, 27, 7509, 165, 21517, 12253, 11255, 1183, 8, 7414, 12, 3507, 21737, 50223, 27, 7509, 165, 33, 517, 1371, 4, 39, 35314, 15086, 2464, 1183, 9429, 407, 9705, 191, 3160, 50223, 465, 2164, 12325, 453, 15, 9365, 6223, 30443, 194, 10713, 5, 50223, 27, 99, 31343, 17, 42700, 4574, 33, 17, 18853, 26099, 12484, 10463, 4, 47, 12542, 8764, 50223, 52, 510, 2464, 1183, 7509, 391, 5, 50223, 196, 5, 3206, 7956, 165, 141, 31827, 3305, 17, 108, 96, 8842, 4, 93, 50244, 50223, 27, 16844, 33264, 38133, 1887, 4, 7, 376, 14, 12253, 433, 816, 1183, 9000, 18, 34345, 4, 50223, 27, 9, 12253, 433, 816, 1183, 1875, 110, 23538, 449, 7509, 453, 20922, 214, 346, 7, 28887, 2212, 3110, 17936, 5, 50223, 2015, 15870, 96, 19917, 10, 260, 1636, 6, 1628, 39372, 29, 2375, 864, 4855, 23835, 28, 50223, 201, 2866, 3461, 21744, 747, 28887, 6308, 723, 5, 159, 364, 34022, 34345, 10, 7509, 165, 2933, 14009, 50223, 147, 1402, 654, 13164, 11890, 4121, 2867, 15086, 2464, 1183, 8, 4961, 2372, 4, 8, 7056, 54, 15779, 4, 12, 46823, 7, 50223, 143, 26109, 282, 4, 1216, 10, 45595, 38, 962, 161, 34816, 6, 26486, 374, 5, 50223, 1046, 158, 5, 429, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 33201, 1032, 375, 5455, 36, 8380, 185, 22376, 22983, 1572, 5, 50223, 39919, 9, 8868, 154, 8, 1020, 8868, 7341, 4, 808, 535, 456, 23286, 29897, 1672, 6, 522, 7509, 165, 5, 50223, 39919, 26545, 15372, 7671, 102, 14039, 627, 48913, 1940, 71, 16851, 462, 14643, 6, 8618, 7671, 28, 1090, 50223, 100, 31699, 2581, 8, 11414, 155, 5, 50223, 33201, 7306, 400, 14229, 407, 4, 13, 9, 60, 21737, 18630, 11569, 6507, 4, 102, 3831, 18577, 14476, 6, 7, 7961, 50223, 4468, 956, 582, 149, 5114, 407, 5, 50223, 32, 6815, 884, 104, 864, 3317, 5, 10582, 5, 1508, 2659, 5, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 315, 8049, 5, 16882, 552, 30542, 11680, 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, 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, -100, -100, -100, -100, -100 ]
[ 0, 108, 96, 8842, 4, 93, 50244, 50223, 27, 16844, 33264, 38133, 1887, 4, 7, 376, 14, 12253, 433, 816, 1183, 9000, 18, 34345, 4, 50223, 27, 9, 12253, 433, 816, 1183, 1875, 110, 23538, 449, 7509, 453, 20922, 214, 346, 7, 28887, 2212, 3110, 17936, 5, 50223, 2015, 15870, 96, 19917, 10, 260, 1636, 6, 1628, 39372, 29, 2375, 864, 4855, 23835, 28, 50223, 201, 2866, 3461, 21744, 747, 28887, 6308, 723, 5, 159, 364, 34022, 34345, 10, 7509, 165, 2933, 14009, 50223, 147, 1402, 654, 13164, 11890, 4121, 2867, 15086, 2464, 1183, 8, 4961, 2372, 4, 8, 7056, 54, 15779, 4, 12, 46823, 7, 50223, 143, 26109, 282, 4, 1216, 10, 45595, 38, 962, 161, 34816, 6, 26486, 374, 5, 50223, 1046, 158, 5, 429, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 33201, 1032, 375, 5455, 36, 8380, 185, 22376, 22983, 1572, 5, 50223, 39919, 9, 8868, 154, 8, 1020, 8868, 7341, 4, 808, 535, 456, 23286, 29897, 1672, 6, 522, 7509, 165, 5, 50223, 39919, 26545, 15372, 7671, 102, 14039, 627, 48913, 1940, 71, 16851, 462, 14643, 6, 8618, 7671, 28, 1090, 50223, 100, 31699, 2581, 8, 11414, 155, 5, 50223, 33201, 7306, 400, 14229, 407, 4, 13, 9, 60, 21737, 18630, 11569, 6507, 4, 102, 3831, 18577, 14476, 6, 7, 7961, 50223, 4468, 956, 582, 149, 5114, 407, 5, 50223, 32, 6815, 884, 104, 864, 3317, 5, 10582, 5, 1508, 2659, 5, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 315, 8049, 5, 16882, 552, 30542, 11680, 5, 4942, 23600, 5520, 243, 11271, 1754, 647, 294, 50223, 467, 48451, 1114, 2070, 258, 3982, 20817, 5234, 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 ]
[ -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, 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, 3, 4, 4, 4, 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 ]
[ 0, 2347, 8947, 466, 9661, 1182, 1182, 50223, 33201, 1032, 375, 5455, 36, 8380, 185, 22376, 22983, 1572, 5, 50223, 39919, 9, 8868, 154, 8, 1020, 8868, 7341, 4, 808, 535, 456, 23286, 29897, 1672, 6, 522, 7509, 165, 5, 50223, 39919, 26545, 15372, 7671, 102, 14039, 627, 48913, 1940, 71, 16851, 462, 14643, 6, 8618, 7671, 28, 1090, 50223, 100, 31699, 2581, 8, 11414, 155, 5, 50223, 33201, 7306, 400, 14229, 407, 4, 13, 9, 60, 21737, 18630, 11569, 6507, 4, 102, 3831, 18577, 14476, 6, 7, 7961, 50223, 4468, 956, 582, 149, 5114, 407, 5, 50223, 32, 6815, 884, 104, 864, 3317, 5, 10582, 5, 1508, 2659, 5, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 315, 8049, 5, 16882, 552, 30542, 11680, 5, 4942, 23600, 5520, 243, 11271, 1754, 647, 294, 50223, 467, 48451, 1114, 2070, 258, 3982, 20817, 5234, 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 ]
[ -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, 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, 3, 4, 4, 4, 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 ]
[ 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 315, 8049, 5, 16882, 552, 30542, 11680, 5, 4942, 23600, 5520, 243, 11271, 1754, 647, 294, 50223, 467, 48451, 1114, 2070, 258, 3982, 20817, 5234, 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 ]
[ -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, 3, 4, 4, 4, 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 ]
[ 0, 1182, 41590, 17, 14523, 87, 1182, 1182, 50223, 1182, 50209, 459, 2782, 3172, 406, 82, 638, 508, 5, 31580, 50209, 29608, 10833, 5, 17, 14523, 87, 15086, 3731, 5352, 1182, 50223, 8, 4083, 6284, 3333, 1182, 50209, 1182, 1182, 50223, 107, 5, 225, 1402, 654, 13164, 1672, 1182, 1182, 50244, 1182, 15650, 6815, 39679, 1182, 1182, 50223, 32, 3920, 50244, 35315, 17, 4004, 215, 9393, 50223, 34112, 3288, 50244, 6815, 39679, 34310, 4, 563, 4064, 1961, 6815, 39679, 50223, 272, 24069, 50244, 207, 3100, 7722, 528, 7437, 50223, 182, 15563, 50244, 292, 196, 2137, 8291, 528, 2247, 50223, 367, 13322, 319, 50244, 11680, 5, 4942, 23600, 5520, 243, 1182, 27, 2070, 50223, 6, 1182, 1182, 50223, 119, 5, 3206, 7956, 165, 50244, 1182, 1182, 1538, 5769, 1170, 5126, 1182, 1182, 50223, 272, 24069, 50244, 10636, 2247, 6088, 612, 50223, 34112, 3288, 50244, 44677, 96, 1226, 196, 4, 563, 4064, 1961, 6815, 39679, 50223, 1865, 361, 468, 5694, 706, 3305, 50223, 1046, 158, 5, 107, 1182, 50223, 30068, 73, 9661, 1182, 1182, 50223, 37442, 654, 13164, 1672, 10, 19964, 10463, 1182, 48870, 25877, 20654, 15, 15099, 51, 4, 47, 9, 749, 8, 33012, 88, 17, 4004, 215, 50223, 15458, 725, 1182, 50189, 32092, 10809, 50191, 5, 2445, 15927, 10, 41825, 7, 12239, 11987, 508, 5, 429, 2247, 50223, 1046, 158, 5, 119, 1182, 50223, 4458, 6666, 6, 5204, 34345, 1182, 1182, 50223, 37442, 654, 13164, 1672, 17998, 133, 2031, 7509, 2042, 18, 18512, 15086, 2464, 1183, 60, 47489, 40242, 4, 50223, 379, 1521, 5763, 1218, 15, 23008, 508, 5, 107, 6, 119, 4, 749, 1459, 9, 8, 27230, 20654, 15099, 389, 5, 50223, 20849, 617, 5048, 1156, 29210, 6080, 15086, 4889, 2964, 10, 1915, 4, 14015, 413, 196, 4, 15, 98, 1156, 9978, 9552, 50223, 16803, 3910, 2802, 23008, 10, 11139, 96, 50244, 8534, 508, 5, 107, 727, 4, 17622, 413, 196, 50223, 19642, 450, 508, 5, 119, 539, 4, 13962, 413, 196, 5, 50223, 6171, 143, 3081, 80, 9158, 212, 5457, 136, 1182, 27, 27381, 50223, 472, 510, 2464, 1183, 9, 7509, 2042, 17998, 133, 2031, 7, 6197, 3181, 4, 12, 171, 4, 13, 7509, 165, 54, 48, 50223, 17717, 731, 19, 28146, 26569, 449, 6, 33079, 548, 5, 50223, 1514, 7956, 165, 9, 20913, 18688, 306, 19607, 5344, 10713, 7365, 9, 5019, 3631, 50223, 12395, 184, 9244, 5, 50223, 1046, 158, 5, 150, 1182, 50223, 4280, 71, 34345, 1182, 1182, 50223, 1514, 7956, 9, 11708, 7, 1785, 29, 387, 5, 10582, 5, 1508, 2659, 18, 1270, 5, 1260, 5, 1508, 2659, 5, 50223, 5, 50223, 1046, 158, 5, 207, 1182, 50223, 1584, 22492, 23, 7509, 6, 791, 1182, 1182, 50223, 182, 9223, 2720, 34345, 10, 7509, 165, 2933, 3020, 29897, 11890, 19478, 50244, 50223, 253, 5, 1792, 218, 23, 7509, 292, 1182, 49607, 14238, 27272, 23, 413, 196, 4123, 5, 17881, 50244, 1182, 429, 828, 4, 1508, 1182, 49607, 14238, 27272, 1182, 1182, 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 ]
[ -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, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 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, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 14, 14, 14, 14, 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, 3206, 7956, 165, 50244, 1182, 1182, 1538, 5769, 1170, 5126, 1182, 1182, 50223, 272, 24069, 50244, 10636, 2247, 6088, 612, 50223, 34112, 3288, 50244, 44677, 96, 1226, 196, 4, 563, 4064, 1961, 6815, 39679, 50223, 1865, 361, 468, 5694, 706, 3305, 50223, 1046, 158, 5, 107, 1182, 50223, 30068, 73, 9661, 1182, 1182, 50223, 37442, 654, 13164, 1672, 10, 19964, 10463, 1182, 48870, 25877, 20654, 15, 15099, 51, 4, 47, 9, 749, 8, 33012, 88, 17, 4004, 215, 50223, 15458, 725, 1182, 50189, 32092, 10809, 50191, 5, 2445, 15927, 10, 41825, 7, 12239, 11987, 508, 5, 429, 2247, 50223, 1046, 158, 5, 119, 1182, 50223, 4458, 6666, 6, 5204, 34345, 1182, 1182, 50223, 37442, 654, 13164, 1672, 17998, 133, 2031, 7509, 2042, 18, 18512, 15086, 2464, 1183, 60, 47489, 40242, 4, 50223, 379, 1521, 5763, 1218, 15, 23008, 508, 5, 107, 6, 119, 4, 749, 1459, 9, 8, 27230, 20654, 15099, 389, 5, 50223, 20849, 617, 5048, 1156, 29210, 6080, 15086, 4889, 2964, 10, 1915, 4, 14015, 413, 196, 4, 15, 98, 1156, 9978, 9552, 50223, 16803, 3910, 2802, 23008, 10, 11139, 96, 50244, 8534, 508, 5, 107, 727, 4, 17622, 413, 196, 50223, 19642, 450, 508, 5, 119, 539, 4, 13962, 413, 196, 5, 50223, 6171, 143, 3081, 80, 9158, 212, 5457, 136, 1182, 27, 27381, 50223, 472, 510, 2464, 1183, 9, 7509, 2042, 17998, 133, 2031, 7, 6197, 3181, 4, 12, 171, 4, 13, 7509, 165, 54, 48, 50223, 17717, 731, 19, 28146, 26569, 449, 6, 33079, 548, 5, 50223, 1514, 7956, 165, 9, 20913, 18688, 306, 19607, 5344, 10713, 7365, 9, 5019, 3631, 50223, 12395, 184, 9244, 5, 50223, 1046, 158, 5, 150, 1182, 50223, 4280, 71, 34345, 1182, 1182, 50223, 1514, 7956, 9, 11708, 7, 1785, 29, 387, 5, 10582, 5, 1508, 2659, 18, 1270, 5, 1260, 5, 1508, 2659, 5, 50223, 5, 50223, 1046, 158, 5, 207, 1182, 50223, 1584, 22492, 23, 7509, 6, 791, 1182, 1182, 50223, 182, 9223, 2720, 34345, 10, 7509, 165, 2933, 3020, 29897, 11890, 19478, 50244, 50223, 253, 5, 1792, 218, 23, 7509, 292, 1182, 49607, 14238, 27272, 23, 413, 196, 4123, 5, 17881, 50244, 1182, 429, 828, 4, 1508, 1182, 49607, 14238, 27272, 1182, 1182, 50223, 196, 5, 529, 20486, 23, 20265, 2682, 269, 5, 17881, 50244, 1182, 3811, 4, 668, 1182, 49607, 14238, 27272, 1182, 1182, 50223, 26580, 2754, 5104, 1182, 3263, 528, 4, 1508, 1182, 49607, 14238, 27272, 1182, 7509, 165, 18084, 1665, 8, 877, 9284, 12018, 7, 3717, 29897, 2875, 18, 1270, 5, 497, 5, 1508, 2659, 5, 50223, 6143, 2859, 511, 11197, 1686, 48, 7509, 165, 36183, 201, 4380, 491, 4123, 7, 713, 18045, 82, 26547, 194, 50223, 35516, 17932, 136, 18, 292, 5, 1260, 5, 1508, 2659, 5, 50223, 140, 7509, 165, 899, 2253, 1665, 19478, 23, 7509, 6, 791, 45, 1493, 6, 8, 9124, 22464, 1740, 4, 10, 2933, 3020, 50223, 293, 2320, 15, 45708, 45, 1493, 563, 4, 7062, 1182, 50258, 15, 10976, 5997, 6910, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 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, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 18, 18512, 15086, 2464, 1183, 60, 47489, 40242, 4, 50223, 379, 1521, 5763, 1218, 15, 23008, 508, 5, 107, 6, 119, 4, 749, 1459, 9, 8, 27230, 20654, 15099, 389, 5, 50223, 20849, 617, 5048, 1156, 29210, 6080, 15086, 4889, 2964, 10, 1915, 4, 14015, 413, 196, 4, 15, 98, 1156, 9978, 9552, 50223, 16803, 3910, 2802, 23008, 10, 11139, 96, 50244, 8534, 508, 5, 107, 727, 4, 17622, 413, 196, 50223, 19642, 450, 508, 5, 119, 539, 4, 13962, 413, 196, 5, 50223, 6171, 143, 3081, 80, 9158, 212, 5457, 136, 1182, 27, 27381, 50223, 472, 510, 2464, 1183, 9, 7509, 2042, 17998, 133, 2031, 7, 6197, 3181, 4, 12, 171, 4, 13, 7509, 165, 54, 48, 50223, 17717, 731, 19, 28146, 26569, 449, 6, 33079, 548, 5, 50223, 1514, 7956, 165, 9, 20913, 18688, 306, 19607, 5344, 10713, 7365, 9, 5019, 3631, 50223, 12395, 184, 9244, 5, 50223, 1046, 158, 5, 150, 1182, 50223, 4280, 71, 34345, 1182, 1182, 50223, 1514, 7956, 9, 11708, 7, 1785, 29, 387, 5, 10582, 5, 1508, 2659, 18, 1270, 5, 1260, 5, 1508, 2659, 5, 50223, 5, 50223, 1046, 158, 5, 207, 1182, 50223, 1584, 22492, 23, 7509, 6, 791, 1182, 1182, 50223, 182, 9223, 2720, 34345, 10, 7509, 165, 2933, 3020, 29897, 11890, 19478, 50244, 50223, 253, 5, 1792, 218, 23, 7509, 292, 1182, 49607, 14238, 27272, 23, 413, 196, 4123, 5, 17881, 50244, 1182, 429, 828, 4, 1508, 1182, 49607, 14238, 27272, 1182, 1182, 50223, 196, 5, 529, 20486, 23, 20265, 2682, 269, 5, 17881, 50244, 1182, 3811, 4, 668, 1182, 49607, 14238, 27272, 1182, 1182, 50223, 26580, 2754, 5104, 1182, 3263, 528, 4, 1508, 1182, 49607, 14238, 27272, 1182, 7509, 165, 18084, 1665, 8, 877, 9284, 12018, 7, 3717, 29897, 2875, 18, 1270, 5, 497, 5, 1508, 2659, 5, 50223, 6143, 2859, 511, 11197, 1686, 48, 7509, 165, 36183, 201, 4380, 491, 4123, 7, 713, 18045, 82, 26547, 194, 50223, 35516, 17932, 136, 18, 292, 5, 1260, 5, 1508, 2659, 5, 50223, 140, 7509, 165, 899, 2253, 1665, 19478, 23, 7509, 6, 791, 45, 1493, 6, 8, 9124, 22464, 1740, 4, 10, 2933, 3020, 50223, 293, 2320, 15, 45708, 45, 1493, 563, 4, 7062, 1182, 50258, 15, 10976, 5997, 6910, 23, 394, 4697, 11255, 364, 45708, 5, 50223, 1046, 158, 5, 229, 1182, 50223, 24766, 177, 6, 3488, 29897, 2875, 6, 7509, 453, 1182, 1182, 50223, 50209, 113, 1182, 50209, 225, 1402, 654, 13164, 1672, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 14009, 7509, 2042, 15086, 2464, 1183, 8, 17481, 179, 8688, 68, 7, 3862, 50223, 17717, 933, 6, 3334, 4, 41, 8, 316, 2372, 66, 303, 1377, 2193, 34345, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 17559, 7509, 2042, 8764, 15086, 2464, 1183, 23, 2318, 5551, 6754, 50223, 688, 132, 21737, 6, 3334, 120, 4673, 39308, 319, 1258, 1692, 13153, 12, 14523, 1852, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 14, 24495, 928, 110, 22057, 14798, 1228, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 9, 20913, 18688, 306, 19607, 5344, 10713, 7365, 9, 5019, 3631, 50223, 12395, 184, 9244, 5, 50223, 1046, 158, 5, 150, 1182, 50223, 4280, 71, 34345, 1182, 1182, 50223, 1514, 7956, 9, 11708, 7, 1785, 29, 387, 5, 10582, 5, 1508, 2659, 18, 1270, 5, 1260, 5, 1508, 2659, 5, 50223, 5, 50223, 1046, 158, 5, 207, 1182, 50223, 1584, 22492, 23, 7509, 6, 791, 1182, 1182, 50223, 182, 9223, 2720, 34345, 10, 7509, 165, 2933, 3020, 29897, 11890, 19478, 50244, 50223, 253, 5, 1792, 218, 23, 7509, 292, 1182, 49607, 14238, 27272, 23, 413, 196, 4123, 5, 17881, 50244, 1182, 429, 828, 4, 1508, 1182, 49607, 14238, 27272, 1182, 1182, 50223, 196, 5, 529, 20486, 23, 20265, 2682, 269, 5, 17881, 50244, 1182, 3811, 4, 668, 1182, 49607, 14238, 27272, 1182, 1182, 50223, 26580, 2754, 5104, 1182, 3263, 528, 4, 1508, 1182, 49607, 14238, 27272, 1182, 7509, 165, 18084, 1665, 8, 877, 9284, 12018, 7, 3717, 29897, 2875, 18, 1270, 5, 497, 5, 1508, 2659, 5, 50223, 6143, 2859, 511, 11197, 1686, 48, 7509, 165, 36183, 201, 4380, 491, 4123, 7, 713, 18045, 82, 26547, 194, 50223, 35516, 17932, 136, 18, 292, 5, 1260, 5, 1508, 2659, 5, 50223, 140, 7509, 165, 899, 2253, 1665, 19478, 23, 7509, 6, 791, 45, 1493, 6, 8, 9124, 22464, 1740, 4, 10, 2933, 3020, 50223, 293, 2320, 15, 45708, 45, 1493, 563, 4, 7062, 1182, 50258, 15, 10976, 5997, 6910, 23, 394, 4697, 11255, 364, 45708, 5, 50223, 1046, 158, 5, 229, 1182, 50223, 24766, 177, 6, 3488, 29897, 2875, 6, 7509, 453, 1182, 1182, 50223, 50209, 113, 1182, 50209, 225, 1402, 654, 13164, 1672, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 14009, 7509, 2042, 15086, 2464, 1183, 8, 17481, 179, 8688, 68, 7, 3862, 50223, 17717, 933, 6, 3334, 4, 41, 8, 316, 2372, 66, 303, 1377, 2193, 34345, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 17559, 7509, 2042, 8764, 15086, 2464, 1183, 23, 2318, 5551, 6754, 50223, 688, 132, 21737, 6, 3334, 120, 4673, 39308, 319, 1258, 1692, 13153, 12, 14523, 1852, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 14, 24495, 928, 110, 22057, 14798, 1228, 5754, 30, 2964, 7509, 453, 4, 50223, 424, 11, 14391, 10214, 4, 19, 372, 9784, 15572, 4907, 29231, 4, 4211, 524, 31688, 4, 50223, 15316, 1297, 3303, 11652, 6, 6324, 6, 1158, 5, 50223, 50209, 247, 1182, 50209, 3206, 7956, 165, 50223, 253, 5, 3206, 7956, 165, 10, 2933, 8764, 15086, 2464, 1183, 36, 7, 5204, 45300, 3507, 21737, 6, 36, 24, 232, 50223, 379, 2859, 510, 5, 529, 1600, 7509, 2042, 31, 44997, 15086, 2464, 1183, 6, 16300, 8764, 16, 7213, 50223, 96, 7956, 453, 4, 160, 8, 15086, 3731, 4658, 15967, 1063, 5, 50223, 196, 5, 159, 10577, 10713, 10, 11097, 10683, 37902, 6, 36018, 12, 42281, 43135, 5, 50223, 259, 5, 3206, 7956, 165, 10123, 3331, 8495, 23, 9426, 9115, 9310, 12, 16852, 67, 9365, 599, 50223, 71, 9634, 1623, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 1182, 3811, 4, 668, 1182, 49607, 14238, 27272, 1182, 1182, 50223, 26580, 2754, 5104, 1182, 3263, 528, 4, 1508, 1182, 49607, 14238, 27272, 1182, 7509, 165, 18084, 1665, 8, 877, 9284, 12018, 7, 3717, 29897, 2875, 18, 1270, 5, 497, 5, 1508, 2659, 5, 50223, 6143, 2859, 511, 11197, 1686, 48, 7509, 165, 36183, 201, 4380, 491, 4123, 7, 713, 18045, 82, 26547, 194, 50223, 35516, 17932, 136, 18, 292, 5, 1260, 5, 1508, 2659, 5, 50223, 140, 7509, 165, 899, 2253, 1665, 19478, 23, 7509, 6, 791, 45, 1493, 6, 8, 9124, 22464, 1740, 4, 10, 2933, 3020, 50223, 293, 2320, 15, 45708, 45, 1493, 563, 4, 7062, 1182, 50258, 15, 10976, 5997, 6910, 23, 394, 4697, 11255, 364, 45708, 5, 50223, 1046, 158, 5, 229, 1182, 50223, 24766, 177, 6, 3488, 29897, 2875, 6, 7509, 453, 1182, 1182, 50223, 50209, 113, 1182, 50209, 225, 1402, 654, 13164, 1672, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 14009, 7509, 2042, 15086, 2464, 1183, 8, 17481, 179, 8688, 68, 7, 3862, 50223, 17717, 933, 6, 3334, 4, 41, 8, 316, 2372, 66, 303, 1377, 2193, 34345, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 17559, 7509, 2042, 8764, 15086, 2464, 1183, 23, 2318, 5551, 6754, 50223, 688, 132, 21737, 6, 3334, 120, 4673, 39308, 319, 1258, 1692, 13153, 12, 14523, 1852, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 14, 24495, 928, 110, 22057, 14798, 1228, 5754, 30, 2964, 7509, 453, 4, 50223, 424, 11, 14391, 10214, 4, 19, 372, 9784, 15572, 4907, 29231, 4, 4211, 524, 31688, 4, 50223, 15316, 1297, 3303, 11652, 6, 6324, 6, 1158, 5, 50223, 50209, 247, 1182, 50209, 3206, 7956, 165, 50223, 253, 5, 3206, 7956, 165, 10, 2933, 8764, 15086, 2464, 1183, 36, 7, 5204, 45300, 3507, 21737, 6, 36, 24, 232, 50223, 379, 2859, 510, 5, 529, 1600, 7509, 2042, 31, 44997, 15086, 2464, 1183, 6, 16300, 8764, 16, 7213, 50223, 96, 7956, 453, 4, 160, 8, 15086, 3731, 4658, 15967, 1063, 5, 50223, 196, 5, 159, 10577, 10713, 10, 11097, 10683, 37902, 6, 36018, 12, 42281, 43135, 5, 50223, 259, 5, 3206, 7956, 165, 10123, 3331, 8495, 23, 9426, 9115, 9310, 12, 16852, 67, 9365, 599, 50223, 71, 9634, 1623, 38, 1534, 5, 50223, 328, 5, 3206, 7956, 165, 10, 2933, 110, 23252, 26169, 12900, 29897, 11890, 5289, 578, 8609, 6, 4831, 4, 50223, 14155, 82, 237, 1157, 7509, 165, 37, 10, 2933, 8365, 33, 43, 18703, 3334, 5, 1368, 14, 706, 50223, 1776, 30129, 7509, 165, 10873, 172, 4, 8495, 23, 9238, 4, 95, 10873, 3991, 3488, 4005, 5, 50223, 266, 5, 3206, 7956, 165, 10, 2933, 35075, 13128, 8, 34816, 15086, 4889, 2964, 8, 3331, 8393, 161, 7, 50223, 465, 1282, 541, 8609, 5, 3206, 7956, 165, 10, 2933, 805, 1833, 6, 5914, 33, 3334, 18703, 11139, 163, 50223, 6683, 134, 50244, 9635, 5391, 15086, 4889, 2964, 4, 31982, 855, 933, 7330, 4, 15063, 31169, 1023, 4, 26939, 269, 5, 27343, 50223, 4618, 132, 4927, 7509, 165, 2, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11, 12, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1046, 158, 5, 229, 1182, 50223, 24766, 177, 6, 3488, 29897, 2875, 6, 7509, 453, 1182, 1182, 50223, 50209, 113, 1182, 50209, 225, 1402, 654, 13164, 1672, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 9, 20913, 14009, 7509, 2042, 15086, 2464, 1183, 8, 17481, 179, 8688, 68, 7, 3862, 50223, 17717, 933, 6, 3334, 4, 41, 8, 316, 2372, 66, 303, 1377, 2193, 34345, 5, 50223, 196, 5, 225, 1402, 654, 13164, 1672, 10, 2933, 17559, 7509, 2042, 8764, 15086, 2464, 1183, 23, 2318, 5551, 6754, 50223, 688, 132, 21737, 6, 3334, 120, 4673, 39308, 319, 1258, 1692, 13153, 12, 14523, 1852, 5, 50223, 259, 5, 225, 1402, 654, 13164, 1672, 14, 24495, 928, 110, 22057, 14798, 1228, 5754, 30, 2964, 7509, 453, 4, 50223, 424, 11, 14391, 10214, 4, 19, 372, 9784, 15572, 4907, 29231, 4, 4211, 524, 31688, 4, 50223, 15316, 1297, 3303, 11652, 6, 6324, 6, 1158, 5, 50223, 50209, 247, 1182, 50209, 3206, 7956, 165, 50223, 253, 5, 3206, 7956, 165, 10, 2933, 8764, 15086, 2464, 1183, 36, 7, 5204, 45300, 3507, 21737, 6, 36, 24, 232, 50223, 379, 2859, 510, 5, 529, 1600, 7509, 2042, 31, 44997, 15086, 2464, 1183, 6, 16300, 8764, 16, 7213, 50223, 96, 7956, 453, 4, 160, 8, 15086, 3731, 4658, 15967, 1063, 5, 50223, 196, 5, 159, 10577, 10713, 10, 11097, 10683, 37902, 6, 36018, 12, 42281, 43135, 5, 50223, 259, 5, 3206, 7956, 165, 10123, 3331, 8495, 23, 9426, 9115, 9310, 12, 16852, 67, 9365, 599, 50223, 71, 9634, 1623, 38, 1534, 5, 50223, 328, 5, 3206, 7956, 165, 10, 2933, 110, 23252, 26169, 12900, 29897, 11890, 5289, 578, 8609, 6, 4831, 4, 50223, 14155, 82, 237, 1157, 7509, 165, 37, 10, 2933, 8365, 33, 43, 18703, 3334, 5, 1368, 14, 706, 50223, 1776, 30129, 7509, 165, 10873, 172, 4, 8495, 23, 9238, 4, 95, 10873, 3991, 3488, 4005, 5, 50223, 266, 5, 3206, 7956, 165, 10, 2933, 35075, 13128, 8, 34816, 15086, 4889, 2964, 8, 3331, 8393, 161, 7, 50223, 465, 1282, 541, 8609, 5, 3206, 7956, 165, 10, 2933, 805, 1833, 6, 5914, 33, 3334, 18703, 11139, 163, 50223, 6683, 134, 50244, 9635, 5391, 15086, 4889, 2964, 4, 31982, 855, 933, 7330, 4, 15063, 31169, 1023, 4, 26939, 269, 5, 27343, 50223, 4618, 132, 4927, 7509, 165, 3199, 5914, 9798, 7011, 65, 517, 9989, 1458, 8, 15086, 13356, 50223, 13779, 42987, 4, 6, 11, 65, 7, 232, 2183, 5, 50223, 444, 5, 3206, 7956, 165, 10, 2933, 29, 40762, 2682, 15, 4728, 7912, 18, 30836, 10949, 4, 6587, 610, 50223, 48870, 25177, 315, 3982, 48870, 19594, 4, 38, 10605, 31407, 10713, 5, 1182, 50189, 521, 2381, 1034, 18929, 8, 10577, 10713, 31, 3110, 24, 5754, 5, 50191, 50223, 497, 5, 3206, 7956, 165, 10, 2933, 826, 4513, 30255, 5989, 7, 48017, 750, 927, 1464, 13549, 980, 15572, 50223, 6074, 249, 71, 5, 159, 7303, 20133, 3372, 7509, 453, 6, 3372, 3884, 687, 7509, 453, 10, 18, 1464, 13549, 980, 50223, 23577, 9189, 10713, 34294, 927, 5746, 1919, 1325, 10713, 5, 50223, 528, 5, 3206, 7956, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11, 14391, 10214, 4, 19, 372, 9784, 15572, 4907, 29231, 4, 4211, 524, 31688, 4, 50223, 15316, 1297, 3303, 11652, 6, 6324, 6, 1158, 5, 50223, 50209, 247, 1182, 50209, 3206, 7956, 165, 50223, 253, 5, 3206, 7956, 165, 10, 2933, 8764, 15086, 2464, 1183, 36, 7, 5204, 45300, 3507, 21737, 6, 36, 24, 232, 50223, 379, 2859, 510, 5, 529, 1600, 7509, 2042, 31, 44997, 15086, 2464, 1183, 6, 16300, 8764, 16, 7213, 50223, 96, 7956, 453, 4, 160, 8, 15086, 3731, 4658, 15967, 1063, 5, 50223, 196, 5, 159, 10577, 10713, 10, 11097, 10683, 37902, 6, 36018, 12, 42281, 43135, 5, 50223, 259, 5, 3206, 7956, 165, 10123, 3331, 8495, 23, 9426, 9115, 9310, 12, 16852, 67, 9365, 599, 50223, 71, 9634, 1623, 38, 1534, 5, 50223, 328, 5, 3206, 7956, 165, 10, 2933, 110, 23252, 26169, 12900, 29897, 11890, 5289, 578, 8609, 6, 4831, 4, 50223, 14155, 82, 237, 1157, 7509, 165, 37, 10, 2933, 8365, 33, 43, 18703, 3334, 5, 1368, 14, 706, 50223, 1776, 30129, 7509, 165, 10873, 172, 4, 8495, 23, 9238, 4, 95, 10873, 3991, 3488, 4005, 5, 50223, 266, 5, 3206, 7956, 165, 10, 2933, 35075, 13128, 8, 34816, 15086, 4889, 2964, 8, 3331, 8393, 161, 7, 50223, 465, 1282, 541, 8609, 5, 3206, 7956, 165, 10, 2933, 805, 1833, 6, 5914, 33, 3334, 18703, 11139, 163, 50223, 6683, 134, 50244, 9635, 5391, 15086, 4889, 2964, 4, 31982, 855, 933, 7330, 4, 15063, 31169, 1023, 4, 26939, 269, 5, 27343, 50223, 4618, 132, 4927, 7509, 165, 3199, 5914, 9798, 7011, 65, 517, 9989, 1458, 8, 15086, 13356, 50223, 13779, 42987, 4, 6, 11, 65, 7, 232, 2183, 5, 50223, 444, 5, 3206, 7956, 165, 10, 2933, 29, 40762, 2682, 15, 4728, 7912, 18, 30836, 10949, 4, 6587, 610, 50223, 48870, 25177, 315, 3982, 48870, 19594, 4, 38, 10605, 31407, 10713, 5, 1182, 50189, 521, 2381, 1034, 18929, 8, 10577, 10713, 31, 3110, 24, 5754, 5, 50191, 50223, 497, 5, 3206, 7956, 165, 10, 2933, 826, 4513, 30255, 5989, 7, 48017, 750, 927, 1464, 13549, 980, 15572, 50223, 6074, 249, 71, 5, 159, 7303, 20133, 3372, 7509, 453, 6, 3372, 3884, 687, 7509, 453, 10, 18, 1464, 13549, 980, 50223, 23577, 9189, 10713, 34294, 927, 5746, 1919, 1325, 10713, 5, 50223, 528, 5, 3206, 7956, 165, 10, 2933, 110, 1578, 22057, 35075, 8870, 8687, 30, 12253, 433, 35887, 10463, 50223, 379, 6149, 2193, 20767, 15572, 4907, 29231, 5, 50223, 612, 5, 3206, 7956, 165, 3199, 17998, 11668, 15086, 2464, 1183, 18, 18512, 15027, 12031, 5, 50223, 828, 5, 3206, 7956, 165, 10, 2933, 3862, 6, 7314, 3020, 19478, 23, 7509, 6, 791, 5, 50223, 1164, 5, 3206, 7956, 165, 10, 2933, 28, 6067, 34345, 8882, 12253, 11255, 1183, 18, 8215, 2447, 5, 50223, 1046, 158, 5, 352, 1182, 50223, 130, 1282, 1891, 34345, 1182, 1182, 50223, 1514, 7956, 9, 5645, 46622, 2193, 16399, 8, 9982, 5, 150, 5, 50223, 435, 26613, 3305, 17, 14523, 87, 363, 2099, 28444, 400, 15, 11139, 163, 2993, 50244, 50223, 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 ]
[ -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, 3206, 7956, 165, 10, 2933, 110, 23252, 26169, 12900, 29897, 11890, 5289, 578, 8609, 6, 4831, 4, 50223, 14155, 82, 237, 1157, 7509, 165, 37, 10, 2933, 8365, 33, 43, 18703, 3334, 5, 1368, 14, 706, 50223, 1776, 30129, 7509, 165, 10873, 172, 4, 8495, 23, 9238, 4, 95, 10873, 3991, 3488, 4005, 5, 50223, 266, 5, 3206, 7956, 165, 10, 2933, 35075, 13128, 8, 34816, 15086, 4889, 2964, 8, 3331, 8393, 161, 7, 50223, 465, 1282, 541, 8609, 5, 3206, 7956, 165, 10, 2933, 805, 1833, 6, 5914, 33, 3334, 18703, 11139, 163, 50223, 6683, 134, 50244, 9635, 5391, 15086, 4889, 2964, 4, 31982, 855, 933, 7330, 4, 15063, 31169, 1023, 4, 26939, 269, 5, 27343, 50223, 4618, 132, 4927, 7509, 165, 3199, 5914, 9798, 7011, 65, 517, 9989, 1458, 8, 15086, 13356, 50223, 13779, 42987, 4, 6, 11, 65, 7, 232, 2183, 5, 50223, 444, 5, 3206, 7956, 165, 10, 2933, 29, 40762, 2682, 15, 4728, 7912, 18, 30836, 10949, 4, 6587, 610, 50223, 48870, 25177, 315, 3982, 48870, 19594, 4, 38, 10605, 31407, 10713, 5, 1182, 50189, 521, 2381, 1034, 18929, 8, 10577, 10713, 31, 3110, 24, 5754, 5, 50191, 50223, 497, 5, 3206, 7956, 165, 10, 2933, 826, 4513, 30255, 5989, 7, 48017, 750, 927, 1464, 13549, 980, 15572, 50223, 6074, 249, 71, 5, 159, 7303, 20133, 3372, 7509, 453, 6, 3372, 3884, 687, 7509, 453, 10, 18, 1464, 13549, 980, 50223, 23577, 9189, 10713, 34294, 927, 5746, 1919, 1325, 10713, 5, 50223, 528, 5, 3206, 7956, 165, 10, 2933, 110, 1578, 22057, 35075, 8870, 8687, 30, 12253, 433, 35887, 10463, 50223, 379, 6149, 2193, 20767, 15572, 4907, 29231, 5, 50223, 612, 5, 3206, 7956, 165, 3199, 17998, 11668, 15086, 2464, 1183, 18, 18512, 15027, 12031, 5, 50223, 828, 5, 3206, 7956, 165, 10, 2933, 3862, 6, 7314, 3020, 19478, 23, 7509, 6, 791, 5, 50223, 1164, 5, 3206, 7956, 165, 10, 2933, 28, 6067, 34345, 8882, 12253, 11255, 1183, 18, 8215, 2447, 5, 50223, 1046, 158, 5, 352, 1182, 50223, 130, 1282, 1891, 34345, 1182, 1182, 50223, 1514, 7956, 9, 5645, 46622, 2193, 16399, 8, 9982, 5, 150, 5, 50223, 435, 26613, 3305, 17, 14523, 87, 363, 2099, 28444, 400, 15, 11139, 163, 2993, 50244, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 141, 31827, 3305, 17, 14523, 87, 4, 93, 50244, 50223, 27, 7509, 165, 21517, 15086, 2464, 1183, 8, 7414, 12, 3507, 21737, 4, 50223, 27, 7509, 165, 33, 517, 1371, 4, 39, 35314, 15086, 2464, 1183, 9429, 407, 9705, 191, 3160, 50223, 465, 2164, 12325, 453, 15, 9365, 6223, 30443, 194, 10713, 5, 50223, 27, 99, 31343, 17, 42700, 4574, 33, 17, 2909, 26099, 12484, 10463, 4, 39, 27604, 8764, 50223, 52, 510, 2464, 1183, 7509, 391, 5, 50223, 196, 5, 3206, 7956, 165, 141, 31827, 3305, 17, 14523, 87, 4, 93, 50244, 50223, 27, 16844, 33264, 38133, 1887, 4, 7, 376, 14, 15086, 2464, 1183, 9000, 18, 34345, 4, 50223, 27, 9, 15086, 2464, 1183, 1875, 110, 23538, 449, 7509, 1100, 20922, 214, 346, 7, 28887, 2212, 2, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 517, 9989, 1458, 8, 15086, 13356, 50223, 13779, 42987, 4, 6, 11, 65, 7, 232, 2183, 5, 50223, 444, 5, 3206, 7956, 165, 10, 2933, 29, 40762, 2682, 15, 4728, 7912, 18, 30836, 10949, 4, 6587, 610, 50223, 48870, 25177, 315, 3982, 48870, 19594, 4, 38, 10605, 31407, 10713, 5, 1182, 50189, 521, 2381, 1034, 18929, 8, 10577, 10713, 31, 3110, 24, 5754, 5, 50191, 50223, 497, 5, 3206, 7956, 165, 10, 2933, 826, 4513, 30255, 5989, 7, 48017, 750, 927, 1464, 13549, 980, 15572, 50223, 6074, 249, 71, 5, 159, 7303, 20133, 3372, 7509, 453, 6, 3372, 3884, 687, 7509, 453, 10, 18, 1464, 13549, 980, 50223, 23577, 9189, 10713, 34294, 927, 5746, 1919, 1325, 10713, 5, 50223, 528, 5, 3206, 7956, 165, 10, 2933, 110, 1578, 22057, 35075, 8870, 8687, 30, 12253, 433, 35887, 10463, 50223, 379, 6149, 2193, 20767, 15572, 4907, 29231, 5, 50223, 612, 5, 3206, 7956, 165, 3199, 17998, 11668, 15086, 2464, 1183, 18, 18512, 15027, 12031, 5, 50223, 828, 5, 3206, 7956, 165, 10, 2933, 3862, 6, 7314, 3020, 19478, 23, 7509, 6, 791, 5, 50223, 1164, 5, 3206, 7956, 165, 10, 2933, 28, 6067, 34345, 8882, 12253, 11255, 1183, 18, 8215, 2447, 5, 50223, 1046, 158, 5, 352, 1182, 50223, 130, 1282, 1891, 34345, 1182, 1182, 50223, 1514, 7956, 9, 5645, 46622, 2193, 16399, 8, 9982, 5, 150, 5, 50223, 435, 26613, 3305, 17, 14523, 87, 363, 2099, 28444, 400, 15, 11139, 163, 2993, 50244, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 141, 31827, 3305, 17, 14523, 87, 4, 93, 50244, 50223, 27, 7509, 165, 21517, 15086, 2464, 1183, 8, 7414, 12, 3507, 21737, 4, 50223, 27, 7509, 165, 33, 517, 1371, 4, 39, 35314, 15086, 2464, 1183, 9429, 407, 9705, 191, 3160, 50223, 465, 2164, 12325, 453, 15, 9365, 6223, 30443, 194, 10713, 5, 50223, 27, 99, 31343, 17, 42700, 4574, 33, 17, 2909, 26099, 12484, 10463, 4, 39, 27604, 8764, 50223, 52, 510, 2464, 1183, 7509, 391, 5, 50223, 196, 5, 3206, 7956, 165, 141, 31827, 3305, 17, 14523, 87, 4, 93, 50244, 50223, 27, 16844, 33264, 38133, 1887, 4, 7, 376, 14, 15086, 2464, 1183, 9000, 18, 34345, 4, 50223, 27, 9, 15086, 2464, 1183, 1875, 110, 23538, 449, 7509, 1100, 20922, 214, 346, 7, 28887, 2212, 3110, 17936, 5, 50223, 2015, 15870, 96, 19917, 10, 260, 1636, 6, 1628, 39372, 2375, 864, 4855, 23835, 28, 42754, 50223, 929, 15870, 179, 747, 28887, 6308, 723, 5, 159, 364, 34022, 34345, 10, 7509, 165, 2933, 14009, 7509, 2042, 50223, 88, 15991, 2867, 15086, 2464, 1183, 8, 4961, 2372, 8, 7056, 54, 15779, 4, 12, 46823, 7, 15595, 282, 4, 1216, 10, 50223, 854, 14376, 1118, 38, 42033, 34816, 6, 26486, 374, 5, 50223, 1046, 158, 5, 429, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 33201, 1032, 375, 5455, 36, 8380, 185, 22376, 22983, 1572, 5, 50223, 39919, 9, 8868, 154, 8, 1020, 8868, 7341, 4, 808, 535, 456, 23286, 29897, 1672, 6, 522, 7509, 165, 5, 50223, 39919, 26545, 15372, 7671, 102, 14039, 2, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22057, 35075, 8870, 8687, 30, 12253, 433, 35887, 10463, 50223, 379, 6149, 2193, 20767, 15572, 4907, 29231, 5, 50223, 612, 5, 3206, 7956, 165, 3199, 17998, 11668, 15086, 2464, 1183, 18, 18512, 15027, 12031, 5, 50223, 828, 5, 3206, 7956, 165, 10, 2933, 3862, 6, 7314, 3020, 19478, 23, 7509, 6, 791, 5, 50223, 1164, 5, 3206, 7956, 165, 10, 2933, 28, 6067, 34345, 8882, 12253, 11255, 1183, 18, 8215, 2447, 5, 50223, 1046, 158, 5, 352, 1182, 50223, 130, 1282, 1891, 34345, 1182, 1182, 50223, 1514, 7956, 9, 5645, 46622, 2193, 16399, 8, 9982, 5, 150, 5, 50223, 435, 26613, 3305, 17, 14523, 87, 363, 2099, 28444, 400, 15, 11139, 163, 2993, 50244, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 141, 31827, 3305, 17, 14523, 87, 4, 93, 50244, 50223, 27, 7509, 165, 21517, 15086, 2464, 1183, 8, 7414, 12, 3507, 21737, 4, 50223, 27, 7509, 165, 33, 517, 1371, 4, 39, 35314, 15086, 2464, 1183, 9429, 407, 9705, 191, 3160, 50223, 465, 2164, 12325, 453, 15, 9365, 6223, 30443, 194, 10713, 5, 50223, 27, 99, 31343, 17, 42700, 4574, 33, 17, 2909, 26099, 12484, 10463, 4, 39, 27604, 8764, 50223, 52, 510, 2464, 1183, 7509, 391, 5, 50223, 196, 5, 3206, 7956, 165, 141, 31827, 3305, 17, 14523, 87, 4, 93, 50244, 50223, 27, 16844, 33264, 38133, 1887, 4, 7, 376, 14, 15086, 2464, 1183, 9000, 18, 34345, 4, 50223, 27, 9, 15086, 2464, 1183, 1875, 110, 23538, 449, 7509, 1100, 20922, 214, 346, 7, 28887, 2212, 3110, 17936, 5, 50223, 2015, 15870, 96, 19917, 10, 260, 1636, 6, 1628, 39372, 2375, 864, 4855, 23835, 28, 42754, 50223, 929, 15870, 179, 747, 28887, 6308, 723, 5, 159, 364, 34022, 34345, 10, 7509, 165, 2933, 14009, 7509, 2042, 50223, 88, 15991, 2867, 15086, 2464, 1183, 8, 4961, 2372, 8, 7056, 54, 15779, 4, 12, 46823, 7, 15595, 282, 4, 1216, 10, 50223, 854, 14376, 1118, 38, 42033, 34816, 6, 26486, 374, 5, 50223, 1046, 158, 5, 429, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 33201, 1032, 375, 5455, 36, 8380, 185, 22376, 22983, 1572, 5, 50223, 39919, 9, 8868, 154, 8, 1020, 8868, 7341, 4, 808, 535, 456, 23286, 29897, 1672, 6, 522, 7509, 165, 5, 50223, 39919, 26545, 15372, 7671, 102, 14039, 627, 48913, 1940, 71, 16851, 462, 14643, 6, 8618, 7671, 28, 1090, 50223, 100, 31699, 2581, 8, 11414, 155, 5, 50223, 33201, 7306, 400, 14229, 407, 4, 13, 9, 60, 21737, 18630, 11569, 6507, 4, 102, 3831, 18577, 14476, 6, 7, 7961, 50223, 4468, 956, 582, 149, 5114, 407, 5, 50223, 32, 6815, 884, 104, 864, 11848, 5, 10582, 5, 1508, 2659, 5, 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, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ -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, 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, -100, -100, -100, -100, -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, 14523, 87, 4, 93, 50244, 50223, 27, 7509, 165, 21517, 15086, 2464, 1183, 8, 7414, 12, 3507, 21737, 4, 50223, 27, 7509, 165, 33, 517, 1371, 4, 39, 35314, 15086, 2464, 1183, 9429, 407, 9705, 191, 3160, 50223, 465, 2164, 12325, 453, 15, 9365, 6223, 30443, 194, 10713, 5, 50223, 27, 99, 31343, 17, 42700, 4574, 33, 17, 2909, 26099, 12484, 10463, 4, 39, 27604, 8764, 50223, 52, 510, 2464, 1183, 7509, 391, 5, 50223, 196, 5, 3206, 7956, 165, 141, 31827, 3305, 17, 14523, 87, 4, 93, 50244, 50223, 27, 16844, 33264, 38133, 1887, 4, 7, 376, 14, 15086, 2464, 1183, 9000, 18, 34345, 4, 50223, 27, 9, 15086, 2464, 1183, 1875, 110, 23538, 449, 7509, 1100, 20922, 214, 346, 7, 28887, 2212, 3110, 17936, 5, 50223, 2015, 15870, 96, 19917, 10, 260, 1636, 6, 1628, 39372, 2375, 864, 4855, 23835, 28, 42754, 50223, 929, 15870, 179, 747, 28887, 6308, 723, 5, 159, 364, 34022, 34345, 10, 7509, 165, 2933, 14009, 7509, 2042, 50223, 88, 15991, 2867, 15086, 2464, 1183, 8, 4961, 2372, 8, 7056, 54, 15779, 4, 12, 46823, 7, 15595, 282, 4, 1216, 10, 50223, 854, 14376, 1118, 38, 42033, 34816, 6, 26486, 374, 5, 50223, 1046, 158, 5, 429, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 33201, 1032, 375, 5455, 36, 8380, 185, 22376, 22983, 1572, 5, 50223, 39919, 9, 8868, 154, 8, 1020, 8868, 7341, 4, 808, 535, 456, 23286, 29897, 1672, 6, 522, 7509, 165, 5, 50223, 39919, 26545, 15372, 7671, 102, 14039, 627, 48913, 1940, 71, 16851, 462, 14643, 6, 8618, 7671, 28, 1090, 50223, 100, 31699, 2581, 8, 11414, 155, 5, 50223, 33201, 7306, 400, 14229, 407, 4, 13, 9, 60, 21737, 18630, 11569, 6507, 4, 102, 3831, 18577, 14476, 6, 7, 7961, 50223, 4468, 956, 582, 149, 5114, 407, 5, 50223, 32, 6815, 884, 104, 864, 11848, 5, 10582, 5, 1508, 2659, 5, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 315, 8049, 5, 4098, 552, 30542, 11680, 5, 4942, 23600, 5520, 243, 5126, 1538, 5769, 1170, 50223, 467, 48451, 1114, 2070, 258, 3982, 20817, 5234, 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 ]
[ -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, 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, 3, 4, 4, 4, 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, 19917, 10, 260, 1636, 6, 1628, 39372, 2375, 864, 4855, 23835, 28, 42754, 50223, 929, 15870, 179, 747, 28887, 6308, 723, 5, 159, 364, 34022, 34345, 10, 7509, 165, 2933, 14009, 7509, 2042, 50223, 88, 15991, 2867, 15086, 2464, 1183, 8, 4961, 2372, 8, 7056, 54, 15779, 4, 12, 46823, 7, 15595, 282, 4, 1216, 10, 50223, 854, 14376, 1118, 38, 42033, 34816, 6, 26486, 374, 5, 50223, 1046, 158, 5, 429, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 33201, 1032, 375, 5455, 36, 8380, 185, 22376, 22983, 1572, 5, 50223, 39919, 9, 8868, 154, 8, 1020, 8868, 7341, 4, 808, 535, 456, 23286, 29897, 1672, 6, 522, 7509, 165, 5, 50223, 39919, 26545, 15372, 7671, 102, 14039, 627, 48913, 1940, 71, 16851, 462, 14643, 6, 8618, 7671, 28, 1090, 50223, 100, 31699, 2581, 8, 11414, 155, 5, 50223, 33201, 7306, 400, 14229, 407, 4, 13, 9, 60, 21737, 18630, 11569, 6507, 4, 102, 3831, 18577, 14476, 6, 7, 7961, 50223, 4468, 956, 582, 149, 5114, 407, 5, 50223, 32, 6815, 884, 104, 864, 11848, 5, 10582, 5, 1508, 2659, 5, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 315, 8049, 5, 4098, 552, 30542, 11680, 5, 4942, 23600, 5520, 243, 5126, 1538, 5769, 1170, 50223, 467, 48451, 1114, 2070, 258, 3982, 20817, 5234, 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 ]
[ -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, 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, 3, 4, 4, 4, 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 ]
[ 0, 14643, 6, 8618, 7671, 28, 1090, 50223, 100, 31699, 2581, 8, 11414, 155, 5, 50223, 33201, 7306, 400, 14229, 407, 4, 13, 9, 60, 21737, 18630, 11569, 6507, 4, 102, 3831, 18577, 14476, 6, 7, 7961, 50223, 4468, 956, 582, 149, 5114, 407, 5, 50223, 32, 6815, 884, 104, 864, 11848, 5, 10582, 5, 1508, 2659, 5, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 50223, 315, 8049, 5, 4098, 552, 30542, 11680, 5, 4942, 23600, 5520, 243, 5126, 1538, 5769, 1170, 50223, 467, 48451, 1114, 2070, 258, 3982, 20817, 5234, 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 ]
[ -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, 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, 3, 4, 4, 4, 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 ]
[ 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, 50223, 315, 8049, 5, 4098, 552, 30542, 11680, 5, 4942, 23600, 5520, 243, 5126, 1538, 5769, 1170, 50223, 467, 48451, 1114, 2070, 258, 3982, 20817, 5234, 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 ]
[ -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, 3, 4, 4, 4, 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 ]
[ 0, 17199, 1054, 50209, 500, 32, 27, 3100, 253, 50209, 1508, 2659, 27, 1508, 5307, 27, 5748, 631, 50223, 253, 50223, 1182, 16648, 631, 3813, 12570, 155, 36540, 280, 2334, 508, 5, 32365, 50209, 1508, 2659, 1182, 1182, 1182, 50223, 43683, 82, 1182, 23077, 24504, 352, 7722, 6, 856, 158, 5, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 30773, 289, 41348, 1182, 1182, 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, 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, 50223, 1046, 47864, 107, 1182, 50223, 34124, 7306, 400, 1182, 1182, 50223, 225, 1402, 654, 13164, 1672, 50244, 1182, 1182, 8286, 45043, 1182, 1182, 50223, 290, 13322, 287, 2380, 68, 5868, 126, 275, 4, 46613, 607, 50223, 1965, 3288, 50244, 26967, 2974, 1690, 207, 4348, 50209, 4708, 4, 563, 6503, 3317, 45043, 50223, 272, 24069, 50244, 1961, 528, 4487, 528, 50223, 2698, 1034, 5668, 50244, 27954, 6, 5, 56, 5, 50223, 27418, 2477, 50244, 3218, 7437, 563, 7048, 2985, 668, 2985, 4135, 4217, 1164, 430, 1635, 259, 50223, 50189, 32092, 36, 1182, 48870, 25177, 147, 1402, 654, 13164, 1672, 48870, 19594, 50191, 50223, 71, 50223, 3206, 7956, 165, 50244, 1182, 1182, 11675, 8613, 341, 153, 1182, 1182, 50223, 2272, 23273, 21, 455, 50244, 1182, 40862, 53, 2651, 7565, 50209, 1105, 84, 563, 6503, 3317, 45043, 50223, 11033, 5, 50244, 1182, 11848, 5, 7062, 5, 1250, 13227, 1182, 1182, 50223, 2563, 73, 1253, 50244, 1182, 6361, 266, 1659, 266, 50209, 444, 4348, 612, 1182, 1182, 50223, 50189, 32092, 36, 1182, 48870, 25177, 96, 7956, 165, 48870, 19594, 50191, 50223, 4540, 132, 21374, 5694, 7509, 176, 3305, 1182, 50189, 32092, 36, 1182, 48870, 25177, 100, 32445, 177, 48870, 19594, 50191, 82, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 50223, 1556, 42916, 41348, 8, 4083, 6284, 3333, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1556, 42916, 41348, 48870, 19594, 50191, 50223, 290, 11139, 163, 2318, 50244, 50223, 1046, 47864, 119, 1182, 50223, 4458, 6666, 34345, 6, 8073, 59, 18512, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 7852, 17998, 133, 2031, 7509, 2042, 18, 18512, 1182, 107, 27, 28043, 534, 508, 5, 107, 4, 1182, 19, 50223, 534, 12, 41021, 34330, 4, 1182, 43338, 9, 1182, 7, 21243, 1182, 27870, 1374, 7, 1182, 40862, 3466, 1182, 50223, 2240, 4, 1182, 31, 2186, 73, 1253, 2651, 7565, 4, 1182, 14702, 466, 1253, 1182, 414, 4, 8, 30889, 2636, 1182, 17, 20216, 3390, 4, 1105, 413, 196, 1182, 50189, 32092, 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 ]
[ -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, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 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, 19, 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, -100, -100 ]
[ 0, 1046, 47864, 107, 1182, 50223, 34124, 7306, 400, 1182, 1182, 50223, 225, 1402, 654, 13164, 1672, 50244, 1182, 1182, 8286, 45043, 1182, 1182, 50223, 290, 13322, 287, 2380, 68, 5868, 126, 275, 4, 46613, 607, 50223, 1965, 3288, 50244, 26967, 2974, 1690, 207, 4348, 50209, 4708, 4, 563, 6503, 3317, 45043, 50223, 272, 24069, 50244, 1961, 528, 4487, 528, 50223, 2698, 1034, 5668, 50244, 27954, 6, 5, 56, 5, 50223, 27418, 2477, 50244, 3218, 7437, 563, 7048, 2985, 668, 2985, 4135, 4217, 1164, 430, 1635, 259, 50223, 50189, 32092, 36, 1182, 48870, 25177, 147, 1402, 654, 13164, 1672, 48870, 19594, 50191, 50223, 71, 50223, 3206, 7956, 165, 50244, 1182, 1182, 11675, 8613, 341, 153, 1182, 1182, 50223, 2272, 23273, 21, 455, 50244, 1182, 40862, 53, 2651, 7565, 50209, 1105, 84, 563, 6503, 3317, 45043, 50223, 11033, 5, 50244, 1182, 11848, 5, 7062, 5, 1250, 13227, 1182, 1182, 50223, 2563, 73, 1253, 50244, 1182, 6361, 266, 1659, 266, 50209, 444, 4348, 612, 1182, 1182, 50223, 50189, 32092, 36, 1182, 48870, 25177, 96, 7956, 165, 48870, 19594, 50191, 50223, 4540, 132, 21374, 5694, 7509, 176, 3305, 1182, 50189, 32092, 36, 1182, 48870, 25177, 100, 32445, 177, 48870, 19594, 50191, 82, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 50223, 1556, 42916, 41348, 8, 4083, 6284, 3333, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1556, 42916, 41348, 48870, 19594, 50191, 50223, 290, 11139, 163, 2318, 50244, 50223, 1046, 47864, 119, 1182, 50223, 4458, 6666, 34345, 6, 8073, 59, 18512, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 7852, 17998, 133, 2031, 7509, 2042, 18, 18512, 1182, 107, 27, 28043, 534, 508, 5, 107, 4, 1182, 19, 50223, 534, 12, 41021, 34330, 4, 1182, 43338, 9, 1182, 7, 21243, 1182, 27870, 1374, 7, 1182, 40862, 3466, 1182, 50223, 2240, 4, 1182, 31, 2186, 73, 1253, 2651, 7565, 4, 1182, 14702, 466, 1253, 1182, 414, 4, 8, 30889, 2636, 1182, 17, 20216, 3390, 4, 1105, 413, 196, 1182, 50189, 32092, 50223, 626, 1182, 48870, 25177, 5430, 48870, 19594, 50191, 5, 50223, 196, 5, 3206, 7956, 165, 21517, 9128, 534, 29, 76, 2648, 4, 571, 54, 29, 29897, 2875, 15779, 8, 2372, 50223, 43767, 214, 68, 7, 3862, 17936, 5, 1190, 17893, 7383, 14108, 34345, 18, 18512, 3958, 50223, 96, 7956, 165, 38, 59, 23767, 14039, 1214, 30874, 17, 23767, 4104, 4, 47, 1418, 16, 50223, 22709, 2447, 6, 6170, 23724, 4104, 5, 50223, 259, 5, 3206, 7956, 165, 4104, 6, 1371, 4, 39, 4471, 12, 7509, 391, 8, 6811, 4, 202, 4230, 383, 8764, 534, 50223, 654, 928, 8764, 3357, 4675, 6, 2968, 1374, 4, 19, 16, 40194, 731, 12368, 4, 50223, 4724, 643, 10895, 10, 3938, 12, 48126, 4104, 5, 50223, 328, 5, 3206, 7956, 165, 10, 10260, 8764, 534, 36, 7, 7445, 5, 50223, 1046, 47864, 150, 1182, 50223, 4280, 71, 34345, 6, 34418, 34345, 4104, 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, 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, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 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, 19, 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 21, 455, 50244, 1182, 40862, 53, 2651, 7565, 50209, 1105, 84, 563, 6503, 3317, 45043, 50223, 11033, 5, 50244, 1182, 11848, 5, 7062, 5, 1250, 13227, 1182, 1182, 50223, 2563, 73, 1253, 50244, 1182, 6361, 266, 1659, 266, 50209, 444, 4348, 612, 1182, 1182, 50223, 50189, 32092, 36, 1182, 48870, 25177, 96, 7956, 165, 48870, 19594, 50191, 50223, 4540, 132, 21374, 5694, 7509, 176, 3305, 1182, 50189, 32092, 36, 1182, 48870, 25177, 100, 32445, 177, 48870, 19594, 50191, 82, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 50223, 1556, 42916, 41348, 8, 4083, 6284, 3333, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1556, 42916, 41348, 48870, 19594, 50191, 50223, 290, 11139, 163, 2318, 50244, 50223, 1046, 47864, 119, 1182, 50223, 4458, 6666, 34345, 6, 8073, 59, 18512, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 7852, 17998, 133, 2031, 7509, 2042, 18, 18512, 1182, 107, 27, 28043, 534, 508, 5, 107, 4, 1182, 19, 50223, 534, 12, 41021, 34330, 4, 1182, 43338, 9, 1182, 7, 21243, 1182, 27870, 1374, 7, 1182, 40862, 3466, 1182, 50223, 2240, 4, 1182, 31, 2186, 73, 1253, 2651, 7565, 4, 1182, 14702, 466, 1253, 1182, 414, 4, 8, 30889, 2636, 1182, 17, 20216, 3390, 4, 1105, 413, 196, 1182, 50189, 32092, 50223, 626, 1182, 48870, 25177, 5430, 48870, 19594, 50191, 5, 50223, 196, 5, 3206, 7956, 165, 21517, 9128, 534, 29, 76, 2648, 4, 571, 54, 29, 29897, 2875, 15779, 8, 2372, 50223, 43767, 214, 68, 7, 3862, 17936, 5, 1190, 17893, 7383, 14108, 34345, 18, 18512, 3958, 50223, 96, 7956, 165, 38, 59, 23767, 14039, 1214, 30874, 17, 23767, 4104, 4, 47, 1418, 16, 50223, 22709, 2447, 6, 6170, 23724, 4104, 5, 50223, 259, 5, 3206, 7956, 165, 4104, 6, 1371, 4, 39, 4471, 12, 7509, 391, 8, 6811, 4, 202, 4230, 383, 8764, 534, 50223, 654, 928, 8764, 3357, 4675, 6, 2968, 1374, 4, 19, 16, 40194, 731, 12368, 4, 50223, 4724, 643, 10895, 10, 3938, 12, 48126, 4104, 5, 50223, 328, 5, 3206, 7956, 165, 10, 10260, 8764, 534, 36, 7, 7445, 5, 50223, 1046, 47864, 150, 1182, 50223, 4280, 71, 34345, 6, 34418, 34345, 4104, 1182, 1182, 50223, 253, 5, 3206, 7956, 96, 5885, 9, 11708, 7, 713, 11009, 52, 9735, 168, 9820, 607, 50223, 4532, 320, 49401, 17, 3814, 3028, 9013, 4394, 6, 15058, 832, 12, 4394, 524, 7617, 68, 607, 50223, 50189, 32092, 36, 1182, 48870, 25177, 41096, 474, 48870, 19594, 50191, 7, 1785, 13907, 50244, 1182, 29, 3317, 5, 10044, 5, 1508, 2659, 18, 1270, 5, 9901, 5, 1508, 2659, 5, 1182, 1182, 50223, 315, 56, 1054, 50209, 500, 32, 27, 3100, 253, 50209, 1508, 2659, 27, 1508, 5307, 27, 5748, 631, 50223, 196, 50223, 196, 5, 529, 23486, 2193, 34345, 55, 7509, 165, 928, 7, 32707, 29218, 7509, 116, 50223, 100, 32445, 465, 7, 1785, 13907, 188, 23, 36878, 2318, 29171, 8, 1182, 23077, 24504, 387, 1680, 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, 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, 19, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4458, 6666, 34345, 6, 8073, 59, 18512, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 7852, 17998, 133, 2031, 7509, 2042, 18, 18512, 1182, 107, 27, 28043, 534, 508, 5, 107, 4, 1182, 19, 50223, 534, 12, 41021, 34330, 4, 1182, 43338, 9, 1182, 7, 21243, 1182, 27870, 1374, 7, 1182, 40862, 3466, 1182, 50223, 2240, 4, 1182, 31, 2186, 73, 1253, 2651, 7565, 4, 1182, 14702, 466, 1253, 1182, 414, 4, 8, 30889, 2636, 1182, 17, 20216, 3390, 4, 1105, 413, 196, 1182, 50189, 32092, 50223, 626, 1182, 48870, 25177, 5430, 48870, 19594, 50191, 5, 50223, 196, 5, 3206, 7956, 165, 21517, 9128, 534, 29, 76, 2648, 4, 571, 54, 29, 29897, 2875, 15779, 8, 2372, 50223, 43767, 214, 68, 7, 3862, 17936, 5, 1190, 17893, 7383, 14108, 34345, 18, 18512, 3958, 50223, 96, 7956, 165, 38, 59, 23767, 14039, 1214, 30874, 17, 23767, 4104, 4, 47, 1418, 16, 50223, 22709, 2447, 6, 6170, 23724, 4104, 5, 50223, 259, 5, 3206, 7956, 165, 4104, 6, 1371, 4, 39, 4471, 12, 7509, 391, 8, 6811, 4, 202, 4230, 383, 8764, 534, 50223, 654, 928, 8764, 3357, 4675, 6, 2968, 1374, 4, 19, 16, 40194, 731, 12368, 4, 50223, 4724, 643, 10895, 10, 3938, 12, 48126, 4104, 5, 50223, 328, 5, 3206, 7956, 165, 10, 10260, 8764, 534, 36, 7, 7445, 5, 50223, 1046, 47864, 150, 1182, 50223, 4280, 71, 34345, 6, 34418, 34345, 4104, 1182, 1182, 50223, 253, 5, 3206, 7956, 96, 5885, 9, 11708, 7, 713, 11009, 52, 9735, 168, 9820, 607, 50223, 4532, 320, 49401, 17, 3814, 3028, 9013, 4394, 6, 15058, 832, 12, 4394, 524, 7617, 68, 607, 50223, 50189, 32092, 36, 1182, 48870, 25177, 41096, 474, 48870, 19594, 50191, 7, 1785, 13907, 50244, 1182, 29, 3317, 5, 10044, 5, 1508, 2659, 18, 1270, 5, 9901, 5, 1508, 2659, 5, 1182, 1182, 50223, 315, 56, 1054, 50209, 500, 32, 27, 3100, 253, 50209, 1508, 2659, 27, 1508, 5307, 27, 5748, 631, 50223, 196, 50223, 196, 5, 529, 23486, 2193, 34345, 55, 7509, 165, 928, 7, 32707, 29218, 7509, 116, 50223, 100, 32445, 465, 7, 1785, 13907, 188, 23, 36878, 2318, 29171, 8, 1182, 23077, 24504, 387, 1680, 5, 207, 24861, 50244, 50223, 71, 50191, 37, 31, 7575, 7, 16268, 541, 34345, 4104, 29897, 4852, 82, 1182, 23077, 24504, 429, 1164, 1680, 5, 107, 50223, 15198, 105, 5, 593, 50191, 4, 543, 50191, 4, 690, 50191, 28913, 19088, 4, 50223, 211, 50191, 7509, 165, 15180, 534, 36, 12, 19559, 4, 39, 31, 11596, 572, 19, 44122, 12325, 129, 1371, 4, 50223, 134, 50191, 7509, 165, 303, 15778, 7509, 168, 17985, 12785, 583, 1212, 2747, 50223, 190, 7509, 116, 8195, 5, 50223, 259, 5, 1368, 7509, 165, 569, 1239, 17, 32707, 29218, 7509, 116, 1157, 4, 10, 2933, 50223, 86, 28546, 11, 29897, 11890, 67, 681, 6951, 34345, 4104, 7, 1785, 13907, 5, 50223, 328, 5, 3206, 7956, 4104, 40035, 50244, 50223, 71, 50191, 46622, 2193, 4, 7, 376, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ -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, 19, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0, 15779, 8, 2372, 50223, 43767, 214, 68, 7, 3862, 17936, 5, 1190, 17893, 7383, 14108, 34345, 18, 18512, 3958, 50223, 96, 7956, 165, 38, 59, 23767, 14039, 1214, 30874, 17, 23767, 4104, 4, 47, 1418, 16, 50223, 22709, 2447, 6, 6170, 23724, 4104, 5, 50223, 259, 5, 3206, 7956, 165, 4104, 6, 1371, 4, 39, 4471, 12, 7509, 391, 8, 6811, 4, 202, 4230, 383, 8764, 534, 50223, 654, 928, 8764, 3357, 4675, 6, 2968, 1374, 4, 19, 16, 40194, 731, 12368, 4, 50223, 4724, 643, 10895, 10, 3938, 12, 48126, 4104, 5, 50223, 328, 5, 3206, 7956, 165, 10, 10260, 8764, 534, 36, 7, 7445, 5, 50223, 1046, 47864, 150, 1182, 50223, 4280, 71, 34345, 6, 34418, 34345, 4104, 1182, 1182, 50223, 253, 5, 3206, 7956, 96, 5885, 9, 11708, 7, 713, 11009, 52, 9735, 168, 9820, 607, 50223, 4532, 320, 49401, 17, 3814, 3028, 9013, 4394, 6, 15058, 832, 12, 4394, 524, 7617, 68, 607, 50223, 50189, 32092, 36, 1182, 48870, 25177, 41096, 474, 48870, 19594, 50191, 7, 1785, 13907, 50244, 1182, 29, 3317, 5, 10044, 5, 1508, 2659, 18, 1270, 5, 9901, 5, 1508, 2659, 5, 1182, 1182, 50223, 315, 56, 1054, 50209, 500, 32, 27, 3100, 253, 50209, 1508, 2659, 27, 1508, 5307, 27, 5748, 631, 50223, 196, 50223, 196, 5, 529, 23486, 2193, 34345, 55, 7509, 165, 928, 7, 32707, 29218, 7509, 116, 50223, 100, 32445, 465, 7, 1785, 13907, 188, 23, 36878, 2318, 29171, 8, 1182, 23077, 24504, 387, 1680, 5, 207, 24861, 50244, 50223, 71, 50191, 37, 31, 7575, 7, 16268, 541, 34345, 4104, 29897, 4852, 82, 1182, 23077, 24504, 429, 1164, 1680, 5, 107, 50223, 15198, 105, 5, 593, 50191, 4, 543, 50191, 4, 690, 50191, 28913, 19088, 4, 50223, 211, 50191, 7509, 165, 15180, 534, 36, 12, 19559, 4, 39, 31, 11596, 572, 19, 44122, 12325, 129, 1371, 4, 50223, 134, 50191, 7509, 165, 303, 15778, 7509, 168, 17985, 12785, 583, 1212, 2747, 50223, 190, 7509, 116, 8195, 5, 50223, 259, 5, 1368, 7509, 165, 569, 1239, 17, 32707, 29218, 7509, 116, 1157, 4, 10, 2933, 50223, 86, 28546, 11, 29897, 11890, 67, 681, 6951, 34345, 4104, 7, 1785, 13907, 5, 50223, 328, 5, 3206, 7956, 4104, 40035, 50244, 50223, 71, 50191, 46622, 2193, 4, 7, 376, 66, 45300, 4, 50223, 211, 50191, 8380, 185, 22376, 22983, 1572, 4, 50223, 134, 50191, 8380, 185, 14600, 252, 38900, 28887, 6308, 400, 4, 808, 29897, 1672, 141, 50223, 465, 26613, 7509, 4104, 188, 15, 2993, 5630, 8, 1182, 23077, 24504, 429, 1164, 28913, 50223, 1297, 1282, 1100, 5, 50223, 266, 5, 3206, 7956, 96, 5885, 496, 12, 7509, 391, 7852, 29283, 4, 93, 10, 740, 50223, 100, 1924, 3598, 5254, 12, 21, 455, 33, 4394, 524, 14771, 7, 10332, 25, 4, 13, 534, 50223, 52, 15780, 8764, 4, 33, 93, 534, 33, 21, 2464, 995, 4177, 11512, 4, 38, 349, 50223, 465, 18798, 2108, 5614, 534, 2330, 303, 5791, 1405, 8764, 5, 50223, 1046, 47864, 207, 1182, 50223, 3206, 7956, 73, 6, 635, 22492, 23, 12368, 28333, 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 ]
[ -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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5885, 9, 11708, 7, 713, 11009, 52, 9735, 168, 9820, 607, 50223, 4532, 320, 49401, 17, 3814, 3028, 9013, 4394, 6, 15058, 832, 12, 4394, 524, 7617, 68, 607, 50223, 50189, 32092, 36, 1182, 48870, 25177, 41096, 474, 48870, 19594, 50191, 7, 1785, 13907, 50244, 1182, 29, 3317, 5, 10044, 5, 1508, 2659, 18, 1270, 5, 9901, 5, 1508, 2659, 5, 1182, 1182, 50223, 315, 56, 1054, 50209, 500, 32, 27, 3100, 253, 50209, 1508, 2659, 27, 1508, 5307, 27, 5748, 631, 50223, 196, 50223, 196, 5, 529, 23486, 2193, 34345, 55, 7509, 165, 928, 7, 32707, 29218, 7509, 116, 50223, 100, 32445, 465, 7, 1785, 13907, 188, 23, 36878, 2318, 29171, 8, 1182, 23077, 24504, 387, 1680, 5, 207, 24861, 50244, 50223, 71, 50191, 37, 31, 7575, 7, 16268, 541, 34345, 4104, 29897, 4852, 82, 1182, 23077, 24504, 429, 1164, 1680, 5, 107, 50223, 15198, 105, 5, 593, 50191, 4, 543, 50191, 4, 690, 50191, 28913, 19088, 4, 50223, 211, 50191, 7509, 165, 15180, 534, 36, 12, 19559, 4, 39, 31, 11596, 572, 19, 44122, 12325, 129, 1371, 4, 50223, 134, 50191, 7509, 165, 303, 15778, 7509, 168, 17985, 12785, 583, 1212, 2747, 50223, 190, 7509, 116, 8195, 5, 50223, 259, 5, 1368, 7509, 165, 569, 1239, 17, 32707, 29218, 7509, 116, 1157, 4, 10, 2933, 50223, 86, 28546, 11, 29897, 11890, 67, 681, 6951, 34345, 4104, 7, 1785, 13907, 5, 50223, 328, 5, 3206, 7956, 4104, 40035, 50244, 50223, 71, 50191, 46622, 2193, 4, 7, 376, 66, 45300, 4, 50223, 211, 50191, 8380, 185, 22376, 22983, 1572, 4, 50223, 134, 50191, 8380, 185, 14600, 252, 38900, 28887, 6308, 400, 4, 808, 29897, 1672, 141, 50223, 465, 26613, 7509, 4104, 188, 15, 2993, 5630, 8, 1182, 23077, 24504, 429, 1164, 28913, 50223, 1297, 1282, 1100, 5, 50223, 266, 5, 3206, 7956, 96, 5885, 496, 12, 7509, 391, 7852, 29283, 4, 93, 10, 740, 50223, 100, 1924, 3598, 5254, 12, 21, 455, 33, 4394, 524, 14771, 7, 10332, 25, 4, 13, 534, 50223, 52, 15780, 8764, 4, 33, 93, 534, 33, 21, 2464, 995, 4177, 11512, 4, 38, 349, 50223, 465, 18798, 2108, 5614, 534, 2330, 303, 5791, 1405, 8764, 5, 50223, 1046, 47864, 207, 1182, 50223, 3206, 7956, 73, 6, 635, 22492, 23, 12368, 28333, 12, 48126, 4104, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 10, 2933, 3020, 29897, 11890, 34543, 6, 19478, 23, 12368, 50223, 379, 25253, 572, 12, 48126, 4104, 1182, 50189, 32092, 36, 1182, 48870, 25177, 6248, 16740, 48870, 19594, 50191, 5, 50223, 196, 5, 3206, 7956, 165, 10, 2933, 28, 1884, 1785, 15778, 34345, 36183, 201, 4380, 7920, 5617, 18, 727, 5, 50223, 201, 692, 15598, 4855, 29897, 11890, 34543, 6, 67, 29239, 7, 791, 50223, 147, 15497, 23481, 5253, 13376, 4, 110, 45978, 221, 24317, 7, 1253, 7250, 29897, 2875, 50223, 27418, 2477, 50244, 3218, 7437, 563, 7048, 2985, 668, 2985, 4135, 4217, 1164, 430, 1635, 259, 33, 18, 6016, 52, 29112, 1992, 8, 50223, 4532, 320, 701, 2636, 50223, 8, 635, 26913, 116, 1493, 1182, 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 ]
[ -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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 31, 7575, 7, 16268, 541, 34345, 4104, 29897, 4852, 82, 1182, 23077, 24504, 429, 1164, 1680, 5, 107, 50223, 15198, 105, 5, 593, 50191, 4, 543, 50191, 4, 690, 50191, 28913, 19088, 4, 50223, 211, 50191, 7509, 165, 15180, 534, 36, 12, 19559, 4, 39, 31, 11596, 572, 19, 44122, 12325, 129, 1371, 4, 50223, 134, 50191, 7509, 165, 303, 15778, 7509, 168, 17985, 12785, 583, 1212, 2747, 50223, 190, 7509, 116, 8195, 5, 50223, 259, 5, 1368, 7509, 165, 569, 1239, 17, 32707, 29218, 7509, 116, 1157, 4, 10, 2933, 50223, 86, 28546, 11, 29897, 11890, 67, 681, 6951, 34345, 4104, 7, 1785, 13907, 5, 50223, 328, 5, 3206, 7956, 4104, 40035, 50244, 50223, 71, 50191, 46622, 2193, 4, 7, 376, 66, 45300, 4, 50223, 211, 50191, 8380, 185, 22376, 22983, 1572, 4, 50223, 134, 50191, 8380, 185, 14600, 252, 38900, 28887, 6308, 400, 4, 808, 29897, 1672, 141, 50223, 465, 26613, 7509, 4104, 188, 15, 2993, 5630, 8, 1182, 23077, 24504, 429, 1164, 28913, 50223, 1297, 1282, 1100, 5, 50223, 266, 5, 3206, 7956, 96, 5885, 496, 12, 7509, 391, 7852, 29283, 4, 93, 10, 740, 50223, 100, 1924, 3598, 5254, 12, 21, 455, 33, 4394, 524, 14771, 7, 10332, 25, 4, 13, 534, 50223, 52, 15780, 8764, 4, 33, 93, 534, 33, 21, 2464, 995, 4177, 11512, 4, 38, 349, 50223, 465, 18798, 2108, 5614, 534, 2330, 303, 5791, 1405, 8764, 5, 50223, 1046, 47864, 207, 1182, 50223, 3206, 7956, 73, 6, 635, 22492, 23, 12368, 28333, 12, 48126, 4104, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 10, 2933, 3020, 29897, 11890, 34543, 6, 19478, 23, 12368, 50223, 379, 25253, 572, 12, 48126, 4104, 1182, 50189, 32092, 36, 1182, 48870, 25177, 6248, 16740, 48870, 19594, 50191, 5, 50223, 196, 5, 3206, 7956, 165, 10, 2933, 28, 1884, 1785, 15778, 34345, 36183, 201, 4380, 7920, 5617, 18, 727, 5, 50223, 201, 692, 15598, 4855, 29897, 11890, 34543, 6, 67, 29239, 7, 791, 50223, 147, 15497, 23481, 5253, 13376, 4, 110, 45978, 221, 24317, 7, 1253, 7250, 29897, 2875, 50223, 27418, 2477, 50244, 3218, 7437, 563, 7048, 2985, 668, 2985, 4135, 4217, 1164, 430, 1635, 259, 33, 18, 6016, 52, 29112, 1992, 8, 50223, 4532, 320, 701, 2636, 50223, 8, 635, 26913, 116, 1493, 1182, 1182, 13150, 4, 668, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 1182, 1182, 50223, 50189, 7319, 68, 50244, 2310, 13850, 19965, 457, 18860, 13105, 50191, 5, 50223, 259, 5, 3023, 1363, 7509, 168, 10, 1182, 1961, 4, 15594, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 84, 28935, 82, 27626, 7775, 14304, 333, 508, 5, 50223, 7595, 50209, 500, 50209, 8940, 77, 864, 950, 5, 9192, 5, 8940, 17, 6011, 11506, 2846, 34345, 4394, 8, 4083, 6284, 50223, 4767, 34382, 6, 22107, 29112, 8938, 8, 30889, 2636, 508, 5, 41548, 50209, 1508, 3100, 77, 864, 50223, 2458, 5, 1260, 5, 1508, 3100, 5, 3023, 1363, 45541, 269, 23, 791, 10, 28935, 45, 1493, 1182, 5463, 4, 2621, 1182, 49607, 14238, 27272, 50209, 12433, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ -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, 15, 16, 16, 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, 15, 16, 16, 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, 15, 16, 16, 16, 16, 16, 16, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 8380, 185, 22376, 22983, 1572, 4, 50223, 134, 50191, 8380, 185, 14600, 252, 38900, 28887, 6308, 400, 4, 808, 29897, 1672, 141, 50223, 465, 26613, 7509, 4104, 188, 15, 2993, 5630, 8, 1182, 23077, 24504, 429, 1164, 28913, 50223, 1297, 1282, 1100, 5, 50223, 266, 5, 3206, 7956, 96, 5885, 496, 12, 7509, 391, 7852, 29283, 4, 93, 10, 740, 50223, 100, 1924, 3598, 5254, 12, 21, 455, 33, 4394, 524, 14771, 7, 10332, 25, 4, 13, 534, 50223, 52, 15780, 8764, 4, 33, 93, 534, 33, 21, 2464, 995, 4177, 11512, 4, 38, 349, 50223, 465, 18798, 2108, 5614, 534, 2330, 303, 5791, 1405, 8764, 5, 50223, 1046, 47864, 207, 1182, 50223, 3206, 7956, 73, 6, 635, 22492, 23, 12368, 28333, 12, 48126, 4104, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 10, 2933, 3020, 29897, 11890, 34543, 6, 19478, 23, 12368, 50223, 379, 25253, 572, 12, 48126, 4104, 1182, 50189, 32092, 36, 1182, 48870, 25177, 6248, 16740, 48870, 19594, 50191, 5, 50223, 196, 5, 3206, 7956, 165, 10, 2933, 28, 1884, 1785, 15778, 34345, 36183, 201, 4380, 7920, 5617, 18, 727, 5, 50223, 201, 692, 15598, 4855, 29897, 11890, 34543, 6, 67, 29239, 7, 791, 50223, 147, 15497, 23481, 5253, 13376, 4, 110, 45978, 221, 24317, 7, 1253, 7250, 29897, 2875, 50223, 27418, 2477, 50244, 3218, 7437, 563, 7048, 2985, 668, 2985, 4135, 4217, 1164, 430, 1635, 259, 33, 18, 6016, 52, 29112, 1992, 8, 50223, 4532, 320, 701, 2636, 50223, 8, 635, 26913, 116, 1493, 1182, 1182, 13150, 4, 668, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 1182, 1182, 50223, 50189, 7319, 68, 50244, 2310, 13850, 19965, 457, 18860, 13105, 50191, 5, 50223, 259, 5, 3023, 1363, 7509, 168, 10, 1182, 1961, 4, 15594, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 84, 28935, 82, 27626, 7775, 14304, 333, 508, 5, 50223, 7595, 50209, 500, 50209, 8940, 77, 864, 950, 5, 9192, 5, 8940, 17, 6011, 11506, 2846, 34345, 4394, 8, 4083, 6284, 50223, 4767, 34382, 6, 22107, 29112, 8938, 8, 30889, 2636, 508, 5, 41548, 50209, 1508, 3100, 77, 864, 50223, 2458, 5, 1260, 5, 1508, 3100, 5, 3023, 1363, 45541, 269, 23, 791, 10, 28935, 45, 1493, 1182, 5463, 4, 2621, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 44, 50223, 328, 5, 159, 265, 4, 13, 7509, 165, 10873, 172, 399, 3657, 25470, 8, 9982, 5, 207, 1680, 5, 119, 4, 10, 2933, 50223, 88, 2253, 1833, 29897, 11890, 16, 6434, 15, 45708, 23, 394, 364, 45708, 4, 533, 50223, 929, 1363, 10, 7581, 406, 8, 38134, 673, 508, 5, 16077, 50209, 35156, 239, 5, 15, 5, 8, 4083, 6284, 3333, 50223, 50189, 32092, 36, 1182, 48870, 25177, 86, 16044, 282, 673, 48870, 19594, 50191, 5, 50223, 266, 5, 159, 265, 4, 13, 7509, 165, 38, 41799, 899, 21734, 1636, 4, 23, 47, 9, 635, 22492, 1450, 4, 33, 50223, 88, 21734, 1636, 4, 47, 34, 66, 27414, 319, 4, 33, 93, 15, 25272, 496, 11254, 4, 23, 39, 50223, 854, 3782, 343, 7509, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15, 16, 16, 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, 15, 16, 16, 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, 15, 16, 16, 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 1182, 50223, 253, 5, 3206, 7956, 165, 10, 2933, 3020, 29897, 11890, 34543, 6, 19478, 23, 12368, 50223, 379, 25253, 572, 12, 48126, 4104, 1182, 50189, 32092, 36, 1182, 48870, 25177, 6248, 16740, 48870, 19594, 50191, 5, 50223, 196, 5, 3206, 7956, 165, 10, 2933, 28, 1884, 1785, 15778, 34345, 36183, 201, 4380, 7920, 5617, 18, 727, 5, 50223, 201, 692, 15598, 4855, 29897, 11890, 34543, 6, 67, 29239, 7, 791, 50223, 147, 15497, 23481, 5253, 13376, 4, 110, 45978, 221, 24317, 7, 1253, 7250, 29897, 2875, 50223, 27418, 2477, 50244, 3218, 7437, 563, 7048, 2985, 668, 2985, 4135, 4217, 1164, 430, 1635, 259, 33, 18, 6016, 52, 29112, 1992, 8, 50223, 4532, 320, 701, 2636, 50223, 8, 635, 26913, 116, 1493, 1182, 1182, 13150, 4, 668, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 1182, 1182, 50223, 50189, 7319, 68, 50244, 2310, 13850, 19965, 457, 18860, 13105, 50191, 5, 50223, 259, 5, 3023, 1363, 7509, 168, 10, 1182, 1961, 4, 15594, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 84, 28935, 82, 27626, 7775, 14304, 333, 508, 5, 50223, 7595, 50209, 500, 50209, 8940, 77, 864, 950, 5, 9192, 5, 8940, 17, 6011, 11506, 2846, 34345, 4394, 8, 4083, 6284, 50223, 4767, 34382, 6, 22107, 29112, 8938, 8, 30889, 2636, 508, 5, 41548, 50209, 1508, 3100, 77, 864, 50223, 2458, 5, 1260, 5, 1508, 3100, 5, 3023, 1363, 45541, 269, 23, 791, 10, 28935, 45, 1493, 1182, 5463, 4, 2621, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 44, 50223, 328, 5, 159, 265, 4, 13, 7509, 165, 10873, 172, 399, 3657, 25470, 8, 9982, 5, 207, 1680, 5, 119, 4, 10, 2933, 50223, 88, 2253, 1833, 29897, 11890, 16, 6434, 15, 45708, 23, 394, 364, 45708, 4, 533, 50223, 929, 1363, 10, 7581, 406, 8, 38134, 673, 508, 5, 16077, 50209, 35156, 239, 5, 15, 5, 8, 4083, 6284, 3333, 50223, 50189, 32092, 36, 1182, 48870, 25177, 86, 16044, 282, 673, 48870, 19594, 50191, 5, 50223, 266, 5, 159, 265, 4, 13, 7509, 165, 38, 41799, 899, 21734, 1636, 4, 23, 47, 9, 635, 22492, 1450, 4, 33, 50223, 88, 21734, 1636, 4, 47, 34, 66, 27414, 319, 4, 33, 93, 15, 25272, 496, 11254, 4, 23, 39, 50223, 854, 3782, 343, 7509, 165, 19478, 16381, 4, 10, 1732, 4, 39, 48, 635, 4082, 252, 42029, 4, 50223, 143, 6305, 2867, 8995, 29897, 1672, 788, 50245, 29897, 1672, 10186, 9550, 278, 13739, 1621, 50223, 56, 5012, 176, 31451, 4370, 5, 50223, 444, 5, 225, 1402, 654, 13164, 1672, 14, 683, 24495, 928, 16, 8, 1702, 2193, 34345, 2290, 6594, 50223, 96, 7956, 168, 19, 16, 13764, 820, 45541, 269, 23, 4051, 2391, 1301, 4, 93, 8433, 50223, 128, 2909, 8722, 3333, 6579, 2510, 43, 858, 33, 93, 7, 11, 48, 1322, 2102, 50223, 50189, 22288, 5, 3835, 1908, 1648, 8, 4980, 50191, 5, 159, 4961, 265, 9, 7509, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ -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, 15, 16, 16, 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, 15, 16, 16, 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, 15, 16, 16, 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 50189, 7319, 68, 50244, 2310, 13850, 19965, 457, 18860, 13105, 50191, 5, 50223, 259, 5, 3023, 1363, 7509, 168, 10, 1182, 1961, 4, 15594, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 84, 28935, 82, 27626, 7775, 14304, 333, 508, 5, 50223, 7595, 50209, 500, 50209, 8940, 77, 864, 950, 5, 9192, 5, 8940, 17, 6011, 11506, 2846, 34345, 4394, 8, 4083, 6284, 50223, 4767, 34382, 6, 22107, 29112, 8938, 8, 30889, 2636, 508, 5, 41548, 50209, 1508, 3100, 77, 864, 50223, 2458, 5, 1260, 5, 1508, 3100, 5, 3023, 1363, 45541, 269, 23, 791, 10, 28935, 45, 1493, 1182, 5463, 4, 2621, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 44, 50223, 328, 5, 159, 265, 4, 13, 7509, 165, 10873, 172, 399, 3657, 25470, 8, 9982, 5, 207, 1680, 5, 119, 4, 10, 2933, 50223, 88, 2253, 1833, 29897, 11890, 16, 6434, 15, 45708, 23, 394, 364, 45708, 4, 533, 50223, 929, 1363, 10, 7581, 406, 8, 38134, 673, 508, 5, 16077, 50209, 35156, 239, 5, 15, 5, 8, 4083, 6284, 3333, 50223, 50189, 32092, 36, 1182, 48870, 25177, 86, 16044, 282, 673, 48870, 19594, 50191, 5, 50223, 266, 5, 159, 265, 4, 13, 7509, 165, 38, 41799, 899, 21734, 1636, 4, 23, 47, 9, 635, 22492, 1450, 4, 33, 50223, 88, 21734, 1636, 4, 47, 34, 66, 27414, 319, 4, 33, 93, 15, 25272, 496, 11254, 4, 23, 39, 50223, 854, 3782, 343, 7509, 165, 19478, 16381, 4, 10, 1732, 4, 39, 48, 635, 4082, 252, 42029, 4, 50223, 143, 6305, 2867, 8995, 29897, 1672, 788, 50245, 29897, 1672, 10186, 9550, 278, 13739, 1621, 50223, 56, 5012, 176, 31451, 4370, 5, 50223, 444, 5, 225, 1402, 654, 13164, 1672, 14, 683, 24495, 928, 16, 8, 1702, 2193, 34345, 2290, 6594, 50223, 96, 7956, 168, 19, 16, 13764, 820, 45541, 269, 23, 4051, 2391, 1301, 4, 93, 8433, 50223, 128, 2909, 8722, 3333, 6579, 2510, 43, 858, 33, 93, 7, 11, 48, 1322, 2102, 50223, 50189, 22288, 5, 3835, 1908, 1648, 8, 4980, 50191, 5, 159, 4961, 265, 9, 7509, 165, 20913, 50223, 315, 56, 1054, 50209, 500, 32, 27, 3100, 253, 50209, 1508, 2659, 27, 1508, 5307, 27, 5748, 631, 50223, 259, 50223, 88, 4974, 201, 4380, 34543, 6, 67, 29239, 23, 791, 45, 1493, 16399, 8, 3350, 13764, 1953, 50223, 1297, 117, 1912, 68, 10033, 179, 5, 1529, 256, 132, 4470, 30351, 34164, 2102, 7, 38085, 11175, 90, 50223, 128, 237, 8195, 5, 50223, 497, 5, 239, 293, 33487, 25371, 4139, 2846, 23, 791, 6, 7509, 391, 18084, 14068, 45541, 269, 23, 50223, 43174, 791, 6879, 29897, 1672, 28, 23486, 16810, 26867, 509, 6, 50223, 4326, 52, 30207, 18, 1270, 5, 7062, 5, 23835, 509, 7728, 709, 7509, 2042, 12810, 33487, 4601, 23, 50223, 6248, 16740, 3938, 12, 9878, 3273, 1182, 50189, 32092, 36, 1182, 48870, 25177, 465, 293, 33487, 48870, 19594, 50191, 5, 50223, 528, 5, 159, 265, 4, 93, 12810, 36140, 1343, 5372, 1276, 20486, 4, 10, 7509, 165, 2933, 54, 22516, 50223, 43767, 68, 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 ]
[ -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, 15, 16, 16, 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, 15, 16, 16, 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, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 10873, 172, 399, 3657, 25470, 8, 9982, 5, 207, 1680, 5, 119, 4, 10, 2933, 50223, 88, 2253, 1833, 29897, 11890, 16, 6434, 15, 45708, 23, 394, 364, 45708, 4, 533, 50223, 929, 1363, 10, 7581, 406, 8, 38134, 673, 508, 5, 16077, 50209, 35156, 239, 5, 15, 5, 8, 4083, 6284, 3333, 50223, 50189, 32092, 36, 1182, 48870, 25177, 86, 16044, 282, 673, 48870, 19594, 50191, 5, 50223, 266, 5, 159, 265, 4, 13, 7509, 165, 38, 41799, 899, 21734, 1636, 4, 23, 47, 9, 635, 22492, 1450, 4, 33, 50223, 88, 21734, 1636, 4, 47, 34, 66, 27414, 319, 4, 33, 93, 15, 25272, 496, 11254, 4, 23, 39, 50223, 854, 3782, 343, 7509, 165, 19478, 16381, 4, 10, 1732, 4, 39, 48, 635, 4082, 252, 42029, 4, 50223, 143, 6305, 2867, 8995, 29897, 1672, 788, 50245, 29897, 1672, 10186, 9550, 278, 13739, 1621, 50223, 56, 5012, 176, 31451, 4370, 5, 50223, 444, 5, 225, 1402, 654, 13164, 1672, 14, 683, 24495, 928, 16, 8, 1702, 2193, 34345, 2290, 6594, 50223, 96, 7956, 168, 19, 16, 13764, 820, 45541, 269, 23, 4051, 2391, 1301, 4, 93, 8433, 50223, 128, 2909, 8722, 3333, 6579, 2510, 43, 858, 33, 93, 7, 11, 48, 1322, 2102, 50223, 50189, 22288, 5, 3835, 1908, 1648, 8, 4980, 50191, 5, 159, 4961, 265, 9, 7509, 165, 20913, 50223, 315, 56, 1054, 50209, 500, 32, 27, 3100, 253, 50209, 1508, 2659, 27, 1508, 5307, 27, 5748, 631, 50223, 259, 50223, 88, 4974, 201, 4380, 34543, 6, 67, 29239, 23, 791, 45, 1493, 16399, 8, 3350, 13764, 1953, 50223, 1297, 117, 1912, 68, 10033, 179, 5, 1529, 256, 132, 4470, 30351, 34164, 2102, 7, 38085, 11175, 90, 50223, 128, 237, 8195, 5, 50223, 497, 5, 239, 293, 33487, 25371, 4139, 2846, 23, 791, 6, 7509, 391, 18084, 14068, 45541, 269, 23, 50223, 43174, 791, 6879, 29897, 1672, 28, 23486, 16810, 26867, 509, 6, 50223, 4326, 52, 30207, 18, 1270, 5, 7062, 5, 23835, 509, 7728, 709, 7509, 2042, 12810, 33487, 4601, 23, 50223, 6248, 16740, 3938, 12, 9878, 3273, 1182, 50189, 32092, 36, 1182, 48870, 25177, 465, 293, 33487, 48870, 19594, 50191, 5, 50223, 528, 5, 159, 265, 4, 93, 12810, 36140, 1343, 5372, 1276, 20486, 4, 10, 7509, 165, 2933, 54, 22516, 50223, 43767, 68, 6, 8, 9124, 28164, 16399, 45, 12810, 36140, 691, 4, 1361, 8, 9284, 15113, 4, 50223, 424, 120, 139, 20673, 5, 1368, 1276, 20486, 899, 2253, 1665, 8, 9124, 28164, 4, 10, 2933, 50223, 290, 41509, 29897, 11890, 16, 6434, 15, 45708, 82, 1680, 5, 207, 332, 1973, 5, 50223, 612, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 34823, 389, 24, 20486, 15, 635, 4082, 8249, 1040, 7509, 391, 50223, 2800, 24, 20486, 4089, 3180, 15, 12810, 36140, 687, 12, 1276, 5012, 560, 15, 8043, 50223, 854, 3782, 183, 4, 39, 9439, 42373, 9115, 7509, 453, 5630, 8, 1973, 207, 5, 50223, 828, 5, 1368, 12810, 36140, 1343, 5372, 7509, 2042, 21556, 11283, 24, 20486, 4, 29897, 1672, 54, 50223, 465, 12573, 7509, 2042, 932, 6, 8, 48812, 6109, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 42029, 4, 50223, 143, 6305, 2867, 8995, 29897, 1672, 788, 50245, 29897, 1672, 10186, 9550, 278, 13739, 1621, 50223, 56, 5012, 176, 31451, 4370, 5, 50223, 444, 5, 225, 1402, 654, 13164, 1672, 14, 683, 24495, 928, 16, 8, 1702, 2193, 34345, 2290, 6594, 50223, 96, 7956, 168, 19, 16, 13764, 820, 45541, 269, 23, 4051, 2391, 1301, 4, 93, 8433, 50223, 128, 2909, 8722, 3333, 6579, 2510, 43, 858, 33, 93, 7, 11, 48, 1322, 2102, 50223, 50189, 22288, 5, 3835, 1908, 1648, 8, 4980, 50191, 5, 159, 4961, 265, 9, 7509, 165, 20913, 50223, 315, 56, 1054, 50209, 500, 32, 27, 3100, 253, 50209, 1508, 2659, 27, 1508, 5307, 27, 5748, 631, 50223, 259, 50223, 88, 4974, 201, 4380, 34543, 6, 67, 29239, 23, 791, 45, 1493, 16399, 8, 3350, 13764, 1953, 50223, 1297, 117, 1912, 68, 10033, 179, 5, 1529, 256, 132, 4470, 30351, 34164, 2102, 7, 38085, 11175, 90, 50223, 128, 237, 8195, 5, 50223, 497, 5, 239, 293, 33487, 25371, 4139, 2846, 23, 791, 6, 7509, 391, 18084, 14068, 45541, 269, 23, 50223, 43174, 791, 6879, 29897, 1672, 28, 23486, 16810, 26867, 509, 6, 50223, 4326, 52, 30207, 18, 1270, 5, 7062, 5, 23835, 509, 7728, 709, 7509, 2042, 12810, 33487, 4601, 23, 50223, 6248, 16740, 3938, 12, 9878, 3273, 1182, 50189, 32092, 36, 1182, 48870, 25177, 465, 293, 33487, 48870, 19594, 50191, 5, 50223, 528, 5, 159, 265, 4, 93, 12810, 36140, 1343, 5372, 1276, 20486, 4, 10, 7509, 165, 2933, 54, 22516, 50223, 43767, 68, 6, 8, 9124, 28164, 16399, 45, 12810, 36140, 691, 4, 1361, 8, 9284, 15113, 4, 50223, 424, 120, 139, 20673, 5, 1368, 1276, 20486, 899, 2253, 1665, 8, 9124, 28164, 4, 10, 2933, 50223, 290, 41509, 29897, 11890, 16, 6434, 15, 45708, 82, 1680, 5, 207, 332, 1973, 5, 50223, 612, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 34823, 389, 24, 20486, 15, 635, 4082, 8249, 1040, 7509, 391, 50223, 2800, 24, 20486, 4089, 3180, 15, 12810, 36140, 687, 12, 1276, 5012, 560, 15, 8043, 50223, 854, 3782, 183, 4, 39, 9439, 42373, 9115, 7509, 453, 5630, 8, 1973, 207, 5, 50223, 828, 5, 1368, 12810, 36140, 1343, 5372, 7509, 2042, 21556, 11283, 24, 20486, 4, 29897, 1672, 54, 50223, 465, 12573, 7509, 2042, 932, 6, 8, 48812, 6109, 5630, 45, 12810, 36140, 691, 4, 93, 9, 42471, 172, 50223, 379, 2136, 82, 1680, 5, 539, 332, 1973, 5, 50223, 1046, 47864, 229, 1182, 50223, 24766, 177, 6, 3488, 22983, 1572, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 10, 10260, 18715, 8, 6811, 188, 12, 19559, 4, 39, 29897, 1672, 38887, 19, 50223, 23907, 118, 2236, 1329, 8, 6811, 12, 7509, 391, 5, 50223, 196, 5, 3206, 7956, 165, 37, 10, 10260, 17998, 11668, 534, 33, 59, 637, 18, 108, 96, 31916, 4591, 6165, 5, 50223, 259, 5, 3206, 7956, 165, 10, 2933, 8764, 534, 4, 3357, 4675, 6, 2968, 1374, 3862, 50223, 71, 3862, 40194, 731, 12368, 4, 349, 10895, 10, 3938, 12, 48126, 4104, 5, 50223, 328, 5, 3206, 7956, 165, 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 ]
[ -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, 1493, 16399, 8, 3350, 13764, 1953, 50223, 1297, 117, 1912, 68, 10033, 179, 5, 1529, 256, 132, 4470, 30351, 34164, 2102, 7, 38085, 11175, 90, 50223, 128, 237, 8195, 5, 50223, 497, 5, 239, 293, 33487, 25371, 4139, 2846, 23, 791, 6, 7509, 391, 18084, 14068, 45541, 269, 23, 50223, 43174, 791, 6879, 29897, 1672, 28, 23486, 16810, 26867, 509, 6, 50223, 4326, 52, 30207, 18, 1270, 5, 7062, 5, 23835, 509, 7728, 709, 7509, 2042, 12810, 33487, 4601, 23, 50223, 6248, 16740, 3938, 12, 9878, 3273, 1182, 50189, 32092, 36, 1182, 48870, 25177, 465, 293, 33487, 48870, 19594, 50191, 5, 50223, 528, 5, 159, 265, 4, 93, 12810, 36140, 1343, 5372, 1276, 20486, 4, 10, 7509, 165, 2933, 54, 22516, 50223, 43767, 68, 6, 8, 9124, 28164, 16399, 45, 12810, 36140, 691, 4, 1361, 8, 9284, 15113, 4, 50223, 424, 120, 139, 20673, 5, 1368, 1276, 20486, 899, 2253, 1665, 8, 9124, 28164, 4, 10, 2933, 50223, 290, 41509, 29897, 11890, 16, 6434, 15, 45708, 82, 1680, 5, 207, 332, 1973, 5, 50223, 612, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 34823, 389, 24, 20486, 15, 635, 4082, 8249, 1040, 7509, 391, 50223, 2800, 24, 20486, 4089, 3180, 15, 12810, 36140, 687, 12, 1276, 5012, 560, 15, 8043, 50223, 854, 3782, 183, 4, 39, 9439, 42373, 9115, 7509, 453, 5630, 8, 1973, 207, 5, 50223, 828, 5, 1368, 12810, 36140, 1343, 5372, 7509, 2042, 21556, 11283, 24, 20486, 4, 29897, 1672, 54, 50223, 465, 12573, 7509, 2042, 932, 6, 8, 48812, 6109, 5630, 45, 12810, 36140, 691, 4, 93, 9, 42471, 172, 50223, 379, 2136, 82, 1680, 5, 539, 332, 1973, 5, 50223, 1046, 47864, 229, 1182, 50223, 24766, 177, 6, 3488, 22983, 1572, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 10, 10260, 18715, 8, 6811, 188, 12, 19559, 4, 39, 29897, 1672, 38887, 19, 50223, 23907, 118, 2236, 1329, 8, 6811, 12, 7509, 391, 5, 50223, 196, 5, 3206, 7956, 165, 37, 10, 10260, 17998, 11668, 534, 33, 59, 637, 18, 108, 96, 31916, 4591, 6165, 5, 50223, 259, 5, 3206, 7956, 165, 10, 2933, 8764, 534, 4, 3357, 4675, 6, 2968, 1374, 3862, 50223, 71, 3862, 40194, 731, 12368, 4, 349, 10895, 10, 3938, 12, 48126, 4104, 5, 50223, 328, 5, 3206, 7956, 165, 10, 2933, 38, 10244, 483, 1692, 29333, 4, 41, 9, 8, 2784, 38799, 50223, 147, 15497, 343, 5401, 1747, 8542, 7509, 391, 1258, 43, 1692, 5, 50223, 266, 5, 3206, 7956, 165, 10, 2933, 3334, 18703, 20375, 8609, 8, 6811, 4, 9431, 9, 17, 39832, 50223, 293, 13599, 511, 4104, 6, 805, 1833, 2183, 12, 171, 3938, 4, 8, 2185, 9820, 673, 5, 50223, 444, 5, 1368, 9, 7509, 165, 47285, 506, 17, 7314, 73, 18703, 20375, 8609, 6, 39832, 14024, 4104, 4, 50223, 1153, 29897, 1672, 928, 25, 1146, 28, 17075, 6401, 3473, 7509, 453, 7, 50223, 56, 16599, 2183, 788, 6, 18014, 29, 458, 11793, 5, 50223, 497, 5, 3206, 7956, 165, 10, 2933, 12900, 110, 23252, 26169, 29897, 11890, 5289, 578, 50223, 143, 6305, 8, 6811, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16399, 45, 12810, 36140, 691, 4, 1361, 8, 9284, 15113, 4, 50223, 424, 120, 139, 20673, 5, 1368, 1276, 20486, 899, 2253, 1665, 8, 9124, 28164, 4, 10, 2933, 50223, 290, 41509, 29897, 11890, 16, 6434, 15, 45708, 82, 1680, 5, 207, 332, 1973, 5, 50223, 612, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 34823, 389, 24, 20486, 15, 635, 4082, 8249, 1040, 7509, 391, 50223, 2800, 24, 20486, 4089, 3180, 15, 12810, 36140, 687, 12, 1276, 5012, 560, 15, 8043, 50223, 854, 3782, 183, 4, 39, 9439, 42373, 9115, 7509, 453, 5630, 8, 1973, 207, 5, 50223, 828, 5, 1368, 12810, 36140, 1343, 5372, 7509, 2042, 21556, 11283, 24, 20486, 4, 29897, 1672, 54, 50223, 465, 12573, 7509, 2042, 932, 6, 8, 48812, 6109, 5630, 45, 12810, 36140, 691, 4, 93, 9, 42471, 172, 50223, 379, 2136, 82, 1680, 5, 539, 332, 1973, 5, 50223, 1046, 47864, 229, 1182, 50223, 24766, 177, 6, 3488, 22983, 1572, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 10, 10260, 18715, 8, 6811, 188, 12, 19559, 4, 39, 29897, 1672, 38887, 19, 50223, 23907, 118, 2236, 1329, 8, 6811, 12, 7509, 391, 5, 50223, 196, 5, 3206, 7956, 165, 37, 10, 10260, 17998, 11668, 534, 33, 59, 637, 18, 108, 96, 31916, 4591, 6165, 5, 50223, 259, 5, 3206, 7956, 165, 10, 2933, 8764, 534, 4, 3357, 4675, 6, 2968, 1374, 3862, 50223, 71, 3862, 40194, 731, 12368, 4, 349, 10895, 10, 3938, 12, 48126, 4104, 5, 50223, 328, 5, 3206, 7956, 165, 10, 2933, 38, 10244, 483, 1692, 29333, 4, 41, 9, 8, 2784, 38799, 50223, 147, 15497, 343, 5401, 1747, 8542, 7509, 391, 1258, 43, 1692, 5, 50223, 266, 5, 3206, 7956, 165, 10, 2933, 3334, 18703, 20375, 8609, 8, 6811, 4, 9431, 9, 17, 39832, 50223, 293, 13599, 511, 4104, 6, 805, 1833, 2183, 12, 171, 3938, 4, 8, 2185, 9820, 673, 5, 50223, 444, 5, 1368, 9, 7509, 165, 47285, 506, 17, 7314, 73, 18703, 20375, 8609, 6, 39832, 14024, 4104, 4, 50223, 1153, 29897, 1672, 928, 25, 1146, 28, 17075, 6401, 3473, 7509, 453, 7, 50223, 56, 16599, 2183, 788, 6, 18014, 29, 458, 11793, 5, 50223, 497, 5, 3206, 7956, 165, 10, 2933, 12900, 110, 23252, 26169, 29897, 11890, 5289, 578, 50223, 143, 6305, 8, 6811, 4, 39, 55, 35075, 29897, 1672, 6, 17559, 43, 18703, 50245, 660, 50223, 100, 23696, 256, 23, 9238, 4, 95, 10873, 3991, 237, 3488, 4005, 5, 159, 265, 4, 13, 50223, 143, 5631, 1614, 38574, 4, 901, 175, 4, 13, 29897, 1672, 21093, 18703, 11512, 50223, 56, 32984, 9836, 4, 16069, 7, 11, 29897, 2875, 4, 94, 893, 24268, 496, 38574, 5, 50223, 528, 5, 3206, 7956, 165, 10, 2933, 6126, 26814, 436, 6, 14735, 4, 39, 8688, 8, 2784, 788, 50223, 2800, 1240, 4, 160, 12, 783, 11407, 5, 1368, 9, 25, 10182, 4, 55, 29897, 1672, 928, 28, 50223, 4767, 4753, 13593, 6401, 3473, 7509, 453, 26814, 436, 6, 14735, 6126, 6, 18014, 50223, 702, 7509, 453, 11793, 5, 50223, 612, 5, 3206, 7956, 165, 3199, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12810, 36140, 691, 4, 93, 9, 42471, 172, 50223, 379, 2136, 82, 1680, 5, 539, 332, 1973, 5, 50223, 1046, 47864, 229, 1182, 50223, 24766, 177, 6, 3488, 22983, 1572, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 10, 10260, 18715, 8, 6811, 188, 12, 19559, 4, 39, 29897, 1672, 38887, 19, 50223, 23907, 118, 2236, 1329, 8, 6811, 12, 7509, 391, 5, 50223, 196, 5, 3206, 7956, 165, 37, 10, 10260, 17998, 11668, 534, 33, 59, 637, 18, 108, 96, 31916, 4591, 6165, 5, 50223, 259, 5, 3206, 7956, 165, 10, 2933, 8764, 534, 4, 3357, 4675, 6, 2968, 1374, 3862, 50223, 71, 3862, 40194, 731, 12368, 4, 349, 10895, 10, 3938, 12, 48126, 4104, 5, 50223, 328, 5, 3206, 7956, 165, 10, 2933, 38, 10244, 483, 1692, 29333, 4, 41, 9, 8, 2784, 38799, 50223, 147, 15497, 343, 5401, 1747, 8542, 7509, 391, 1258, 43, 1692, 5, 50223, 266, 5, 3206, 7956, 165, 10, 2933, 3334, 18703, 20375, 8609, 8, 6811, 4, 9431, 9, 17, 39832, 50223, 293, 13599, 511, 4104, 6, 805, 1833, 2183, 12, 171, 3938, 4, 8, 2185, 9820, 673, 5, 50223, 444, 5, 1368, 9, 7509, 165, 47285, 506, 17, 7314, 73, 18703, 20375, 8609, 6, 39832, 14024, 4104, 4, 50223, 1153, 29897, 1672, 928, 25, 1146, 28, 17075, 6401, 3473, 7509, 453, 7, 50223, 56, 16599, 2183, 788, 6, 18014, 29, 458, 11793, 5, 50223, 497, 5, 3206, 7956, 165, 10, 2933, 12900, 110, 23252, 26169, 29897, 11890, 5289, 578, 50223, 143, 6305, 8, 6811, 4, 39, 55, 35075, 29897, 1672, 6, 17559, 43, 18703, 50245, 660, 50223, 100, 23696, 256, 23, 9238, 4, 95, 10873, 3991, 237, 3488, 4005, 5, 159, 265, 4, 13, 50223, 143, 5631, 1614, 38574, 4, 901, 175, 4, 13, 29897, 1672, 21093, 18703, 11512, 50223, 56, 32984, 9836, 4, 16069, 7, 11, 29897, 2875, 4, 94, 893, 24268, 496, 38574, 5, 50223, 528, 5, 3206, 7956, 165, 10, 2933, 6126, 26814, 436, 6, 14735, 4, 39, 8688, 8, 2784, 788, 50223, 2800, 1240, 4, 160, 12, 783, 11407, 5, 1368, 9, 25, 10182, 4, 55, 29897, 1672, 928, 28, 50223, 4767, 4753, 13593, 6401, 3473, 7509, 453, 26814, 436, 6, 14735, 6126, 6, 18014, 50223, 702, 7509, 453, 11793, 5, 50223, 612, 5, 3206, 7956, 165, 3199, 5914, 9798, 7011, 4, 65, 4424, 8697, 176, 2352, 8, 6811, 110, 50223, 4468, 956, 582, 29897, 2875, 4, 6, 11, 65, 7, 232, 2183, 5, 159, 16484, 265, 10, 7509, 165, 28, 50223, 1297, 5485, 34345, 4104, 2933, 8882, 534, 18, 8215, 2447, 7, 232, 2183, 5, 1368, 50223, 88, 1330, 282, 18, 8215, 2447, 37, 10, 434, 4, 7509, 165, 569, 928, 7, 5920, 50223, 9137, 4367, 449, 3947, 1223, 11864, 24545, 14108, 34345, 29298, 8479, 63, 5, 50223, 828, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 5914, 9798, 7011, 4104, 6, 517, 9989, 1458, 50223, 190, 6811, 188, 60, 20069, 7509, 453, 5, 8246, 4293, 375, 34050, 5221, 36, 15, 33974, 50223, 201, 16390, 137, 5, 1368, 29897, 1672, 5376, 642, 7011, 7, 9144, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10244, 483, 1692, 29333, 4, 41, 9, 8, 2784, 38799, 50223, 147, 15497, 343, 5401, 1747, 8542, 7509, 391, 1258, 43, 1692, 5, 50223, 266, 5, 3206, 7956, 165, 10, 2933, 3334, 18703, 20375, 8609, 8, 6811, 4, 9431, 9, 17, 39832, 50223, 293, 13599, 511, 4104, 6, 805, 1833, 2183, 12, 171, 3938, 4, 8, 2185, 9820, 673, 5, 50223, 444, 5, 1368, 9, 7509, 165, 47285, 506, 17, 7314, 73, 18703, 20375, 8609, 6, 39832, 14024, 4104, 4, 50223, 1153, 29897, 1672, 928, 25, 1146, 28, 17075, 6401, 3473, 7509, 453, 7, 50223, 56, 16599, 2183, 788, 6, 18014, 29, 458, 11793, 5, 50223, 497, 5, 3206, 7956, 165, 10, 2933, 12900, 110, 23252, 26169, 29897, 11890, 5289, 578, 50223, 143, 6305, 8, 6811, 4, 39, 55, 35075, 29897, 1672, 6, 17559, 43, 18703, 50245, 660, 50223, 100, 23696, 256, 23, 9238, 4, 95, 10873, 3991, 237, 3488, 4005, 5, 159, 265, 4, 13, 50223, 143, 5631, 1614, 38574, 4, 901, 175, 4, 13, 29897, 1672, 21093, 18703, 11512, 50223, 56, 32984, 9836, 4, 16069, 7, 11, 29897, 2875, 4, 94, 893, 24268, 496, 38574, 5, 50223, 528, 5, 3206, 7956, 165, 10, 2933, 6126, 26814, 436, 6, 14735, 4, 39, 8688, 8, 2784, 788, 50223, 2800, 1240, 4, 160, 12, 783, 11407, 5, 1368, 9, 25, 10182, 4, 55, 29897, 1672, 928, 28, 50223, 4767, 4753, 13593, 6401, 3473, 7509, 453, 26814, 436, 6, 14735, 6126, 6, 18014, 50223, 702, 7509, 453, 11793, 5, 50223, 612, 5, 3206, 7956, 165, 3199, 5914, 9798, 7011, 4, 65, 4424, 8697, 176, 2352, 8, 6811, 110, 50223, 4468, 956, 582, 29897, 2875, 4, 6, 11, 65, 7, 232, 2183, 5, 159, 16484, 265, 10, 7509, 165, 28, 50223, 1297, 5485, 34345, 4104, 2933, 8882, 534, 18, 8215, 2447, 7, 232, 2183, 5, 1368, 50223, 88, 1330, 282, 18, 8215, 2447, 37, 10, 434, 4, 7509, 165, 569, 928, 7, 5920, 50223, 9137, 4367, 449, 3947, 1223, 11864, 24545, 14108, 34345, 29298, 8479, 63, 5, 50223, 828, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 5914, 9798, 7011, 4104, 6, 517, 9989, 1458, 50223, 190, 6811, 188, 60, 20069, 7509, 453, 5, 8246, 4293, 375, 34050, 5221, 36, 15, 33974, 50223, 201, 16390, 137, 5, 1368, 29897, 1672, 5376, 642, 7011, 7, 9144, 16810, 9044, 50223, 315, 56, 1054, 50209, 500, 32, 27, 3100, 253, 50209, 1508, 2659, 27, 1508, 5307, 27, 5748, 631, 50223, 328, 50223, 38764, 1173, 4, 10, 7509, 165, 2933, 43, 18703, 17559, 50245, 660, 8495, 23, 50223, 2622, 428, 4, 95, 10873, 3991, 237, 3488, 4005, 5, 50223, 1164, 5, 3206, 7956, 165, 10, 2933, 17559, 29897, 11890, 33, 783, 7357, 1901, 31582, 50223, 190, 2136, 18, 4104, 23, 5198, 6820, 627, 8609, 4, 25728, 4, 29, 8194, 6, 4003, 23171, 50223, 2932, 68, 21562, 4, 11401, 8589, 6, 11385, 4003, 2447, 4104, 8, 8176, 161, 3331, 4, 19, 16, 50223, 290, 5198, 4003, 10513, 6, 3331, 18512, 4104, 7509, 391, 5, 50223, 1260, 5, 3206, 7956, 165, 10, 2933, 15575, 534, 8, 2372, 8688, 68, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 55, 35075, 29897, 1672, 6, 17559, 43, 18703, 50245, 660, 50223, 100, 23696, 256, 23, 9238, 4, 95, 10873, 3991, 237, 3488, 4005, 5, 159, 265, 4, 13, 50223, 143, 5631, 1614, 38574, 4, 901, 175, 4, 13, 29897, 1672, 21093, 18703, 11512, 50223, 56, 32984, 9836, 4, 16069, 7, 11, 29897, 2875, 4, 94, 893, 24268, 496, 38574, 5, 50223, 528, 5, 3206, 7956, 165, 10, 2933, 6126, 26814, 436, 6, 14735, 4, 39, 8688, 8, 2784, 788, 50223, 2800, 1240, 4, 160, 12, 783, 11407, 5, 1368, 9, 25, 10182, 4, 55, 29897, 1672, 928, 28, 50223, 4767, 4753, 13593, 6401, 3473, 7509, 453, 26814, 436, 6, 14735, 6126, 6, 18014, 50223, 702, 7509, 453, 11793, 5, 50223, 612, 5, 3206, 7956, 165, 3199, 5914, 9798, 7011, 4, 65, 4424, 8697, 176, 2352, 8, 6811, 110, 50223, 4468, 956, 582, 29897, 2875, 4, 6, 11, 65, 7, 232, 2183, 5, 159, 16484, 265, 10, 7509, 165, 28, 50223, 1297, 5485, 34345, 4104, 2933, 8882, 534, 18, 8215, 2447, 7, 232, 2183, 5, 1368, 50223, 88, 1330, 282, 18, 8215, 2447, 37, 10, 434, 4, 7509, 165, 569, 928, 7, 5920, 50223, 9137, 4367, 449, 3947, 1223, 11864, 24545, 14108, 34345, 29298, 8479, 63, 5, 50223, 828, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 5914, 9798, 7011, 4104, 6, 517, 9989, 1458, 50223, 190, 6811, 188, 60, 20069, 7509, 453, 5, 8246, 4293, 375, 34050, 5221, 36, 15, 33974, 50223, 201, 16390, 137, 5, 1368, 29897, 1672, 5376, 642, 7011, 7, 9144, 16810, 9044, 50223, 315, 56, 1054, 50209, 500, 32, 27, 3100, 253, 50209, 1508, 2659, 27, 1508, 5307, 27, 5748, 631, 50223, 328, 50223, 38764, 1173, 4, 10, 7509, 165, 2933, 43, 18703, 17559, 50245, 660, 8495, 23, 50223, 2622, 428, 4, 95, 10873, 3991, 237, 3488, 4005, 5, 50223, 1164, 5, 3206, 7956, 165, 10, 2933, 17559, 29897, 11890, 33, 783, 7357, 1901, 31582, 50223, 190, 2136, 18, 4104, 23, 5198, 6820, 627, 8609, 4, 25728, 4, 29, 8194, 6, 4003, 23171, 50223, 2932, 68, 21562, 4, 11401, 8589, 6, 11385, 4003, 2447, 4104, 8, 8176, 161, 3331, 4, 19, 16, 50223, 290, 5198, 4003, 10513, 6, 3331, 18512, 4104, 7509, 391, 5, 50223, 1260, 5, 3206, 7956, 165, 10, 2933, 15575, 534, 8, 2372, 8688, 68, 7, 3862, 17936, 6, 28, 50223, 1297, 5485, 34345, 4104, 82, 1973, 150, 1680, 5, 207, 237, 1157, 4, 93, 31272, 30, 2582, 17370, 50223, 1865, 361, 3172, 996, 7509, 116, 1157, 82, 1973, 150, 1680, 5, 119, 4, 534, 14040, 3149, 6, 28793, 14222, 50223, 702, 46602, 3178, 29897, 11890, 60, 1392, 31682, 6, 39050, 17463, 18, 236, 50223, 201, 172, 8, 18512, 8740, 161, 2372, 4, 12, 46823, 7, 45595, 15595, 282, 5, 50223, 2247, 5, 159, 265, 4, 13, 18, 28013, 3101, 2193, 34345, 16399, 8, 1973, 150, 1680, 5, 107, 237, 1157, 50223, 3678, 48399, 30, 2582, 17370, 7320, 996, 7509, 116, 1157, 6, 7509, 165, 534, 1834, 50223, 26450, 4, 10, 7509, 165, 2933, 7920, 36183, 201, 4380, 29897, 11890, 19478, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7011, 4, 65, 4424, 8697, 176, 2352, 8, 6811, 110, 50223, 4468, 956, 582, 29897, 2875, 4, 6, 11, 65, 7, 232, 2183, 5, 159, 16484, 265, 10, 7509, 165, 28, 50223, 1297, 5485, 34345, 4104, 2933, 8882, 534, 18, 8215, 2447, 7, 232, 2183, 5, 1368, 50223, 88, 1330, 282, 18, 8215, 2447, 37, 10, 434, 4, 7509, 165, 569, 928, 7, 5920, 50223, 9137, 4367, 449, 3947, 1223, 11864, 24545, 14108, 34345, 29298, 8479, 63, 5, 50223, 828, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 5914, 9798, 7011, 4104, 6, 517, 9989, 1458, 50223, 190, 6811, 188, 60, 20069, 7509, 453, 5, 8246, 4293, 375, 34050, 5221, 36, 15, 33974, 50223, 201, 16390, 137, 5, 1368, 29897, 1672, 5376, 642, 7011, 7, 9144, 16810, 9044, 50223, 315, 56, 1054, 50209, 500, 32, 27, 3100, 253, 50209, 1508, 2659, 27, 1508, 5307, 27, 5748, 631, 50223, 328, 50223, 38764, 1173, 4, 10, 7509, 165, 2933, 43, 18703, 17559, 50245, 660, 8495, 23, 50223, 2622, 428, 4, 95, 10873, 3991, 237, 3488, 4005, 5, 50223, 1164, 5, 3206, 7956, 165, 10, 2933, 17559, 29897, 11890, 33, 783, 7357, 1901, 31582, 50223, 190, 2136, 18, 4104, 23, 5198, 6820, 627, 8609, 4, 25728, 4, 29, 8194, 6, 4003, 23171, 50223, 2932, 68, 21562, 4, 11401, 8589, 6, 11385, 4003, 2447, 4104, 8, 8176, 161, 3331, 4, 19, 16, 50223, 290, 5198, 4003, 10513, 6, 3331, 18512, 4104, 7509, 391, 5, 50223, 1260, 5, 3206, 7956, 165, 10, 2933, 15575, 534, 8, 2372, 8688, 68, 7, 3862, 17936, 6, 28, 50223, 1297, 5485, 34345, 4104, 82, 1973, 150, 1680, 5, 207, 237, 1157, 4, 93, 31272, 30, 2582, 17370, 50223, 1865, 361, 3172, 996, 7509, 116, 1157, 82, 1973, 150, 1680, 5, 119, 4, 534, 14040, 3149, 6, 28793, 14222, 50223, 702, 46602, 3178, 29897, 11890, 60, 1392, 31682, 6, 39050, 17463, 18, 236, 50223, 201, 172, 8, 18512, 8740, 161, 2372, 4, 12, 46823, 7, 45595, 15595, 282, 5, 50223, 2247, 5, 159, 265, 4, 13, 18, 28013, 3101, 2193, 34345, 16399, 8, 1973, 150, 1680, 5, 107, 237, 1157, 50223, 3678, 48399, 30, 2582, 17370, 7320, 996, 7509, 116, 1157, 6, 7509, 165, 534, 1834, 50223, 26450, 4, 10, 7509, 165, 2933, 7920, 36183, 201, 4380, 29897, 11890, 19478, 23, 17936, 50223, 42342, 110, 10675, 1924, 45, 1493, 11201, 3563, 3643, 218, 7509, 881, 50223, 71, 45541, 90, 23, 791, 4, 5617, 18, 727, 5, 864, 16810, 26867, 4855, 4, 6, 11, 50223, 10440, 18, 59, 28793, 26633, 10413, 627, 29897, 11890, 5, 50223, 2458, 5, 1504, 24714, 34345, 5551, 11892, 7, 12691, 380, 569, 7509, 165, 928, 7, 4394, 293, 50223, 96, 19440, 5, 50223, 1046, 47864, 352, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 19678, 21162, 4, 39, 37, 31, 16832, 3507, 21737, 9, 11450, 41090, 28913, 50223, 1297, 1282, 1100, 5, 50223, 196, 5, 34124, 7306, 400, 13426, 7, 8564, 4, 13, 1712, 17, 3028, 2018, 9948, 10094, 4104, 4, 26, 17, 50223, 14930, 572, 29218, 7509, 116, 1157, 28, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1173, 4, 10, 7509, 165, 2933, 43, 18703, 17559, 50245, 660, 8495, 23, 50223, 2622, 428, 4, 95, 10873, 3991, 237, 3488, 4005, 5, 50223, 1164, 5, 3206, 7956, 165, 10, 2933, 17559, 29897, 11890, 33, 783, 7357, 1901, 31582, 50223, 190, 2136, 18, 4104, 23, 5198, 6820, 627, 8609, 4, 25728, 4, 29, 8194, 6, 4003, 23171, 50223, 2932, 68, 21562, 4, 11401, 8589, 6, 11385, 4003, 2447, 4104, 8, 8176, 161, 3331, 4, 19, 16, 50223, 290, 5198, 4003, 10513, 6, 3331, 18512, 4104, 7509, 391, 5, 50223, 1260, 5, 3206, 7956, 165, 10, 2933, 15575, 534, 8, 2372, 8688, 68, 7, 3862, 17936, 6, 28, 50223, 1297, 5485, 34345, 4104, 82, 1973, 150, 1680, 5, 207, 237, 1157, 4, 93, 31272, 30, 2582, 17370, 50223, 1865, 361, 3172, 996, 7509, 116, 1157, 82, 1973, 150, 1680, 5, 119, 4, 534, 14040, 3149, 6, 28793, 14222, 50223, 702, 46602, 3178, 29897, 11890, 60, 1392, 31682, 6, 39050, 17463, 18, 236, 50223, 201, 172, 8, 18512, 8740, 161, 2372, 4, 12, 46823, 7, 45595, 15595, 282, 5, 50223, 2247, 5, 159, 265, 4, 13, 18, 28013, 3101, 2193, 34345, 16399, 8, 1973, 150, 1680, 5, 107, 237, 1157, 50223, 3678, 48399, 30, 2582, 17370, 7320, 996, 7509, 116, 1157, 6, 7509, 165, 534, 1834, 50223, 26450, 4, 10, 7509, 165, 2933, 7920, 36183, 201, 4380, 29897, 11890, 19478, 23, 17936, 50223, 42342, 110, 10675, 1924, 45, 1493, 11201, 3563, 3643, 218, 7509, 881, 50223, 71, 45541, 90, 23, 791, 4, 5617, 18, 727, 5, 864, 16810, 26867, 4855, 4, 6, 11, 50223, 10440, 18, 59, 28793, 26633, 10413, 627, 29897, 11890, 5, 50223, 2458, 5, 1504, 24714, 34345, 5551, 11892, 7, 12691, 380, 569, 7509, 165, 928, 7, 4394, 293, 50223, 96, 19440, 5, 50223, 1046, 47864, 352, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 19678, 21162, 4, 39, 37, 31, 16832, 3507, 21737, 9, 11450, 41090, 28913, 50223, 1297, 1282, 1100, 5, 50223, 196, 5, 34124, 7306, 400, 13426, 7, 8564, 4, 13, 1712, 17, 3028, 2018, 9948, 10094, 4104, 4, 26, 17, 50223, 14930, 572, 29218, 7509, 116, 1157, 28, 23486, 2193, 34345, 82, 50223, 4767, 4753, 3563, 7509, 116, 1157, 7320, 940, 146, 29897, 4852, 6, 7509, 391, 5, 50223, 259, 5, 268, 19883, 3305, 10, 434, 5455, 6, 40758, 7, 713, 3291, 22983, 1572, 6, 11, 45, 50223, 2650, 87, 8380, 163, 11175, 269, 30, 237, 8195, 5, 50223, 328, 5, 34124, 7306, 400, 14229, 407, 4, 13, 3305, 7320, 614, 14451, 6, 2029, 4, 629, 50223, 71, 13938, 5575, 4, 37, 8, 25744, 151, 4, 65, 23, 863, 6777, 9870, 43615, 2318, 4, 3831, 50223, 100, 32445, 465, 3862, 18577, 14476, 6, 7, 7961, 7663, 149, 37814, 1473, 5114, 407, 5, 50223, 266, 5, 12256, 5885, 10, 8868, 406, 8, 1020, 2557, 2186, 553, 4, 15, 349, 260, 2022, 7509, 165, 50223, 71, 484, 29897, 1672, 5, 50223, 444, 5, 12256, 5885, 26545, 15372, 7671, 102, 28095, 16851, 462, 14643, 6, 8618, 50223, 201, 9223, 16774, 3398, 28, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7509, 116, 1157, 82, 1973, 150, 1680, 5, 119, 4, 534, 14040, 3149, 6, 28793, 14222, 50223, 702, 46602, 3178, 29897, 11890, 60, 1392, 31682, 6, 39050, 17463, 18, 236, 50223, 201, 172, 8, 18512, 8740, 161, 2372, 4, 12, 46823, 7, 45595, 15595, 282, 5, 50223, 2247, 5, 159, 265, 4, 13, 18, 28013, 3101, 2193, 34345, 16399, 8, 1973, 150, 1680, 5, 107, 237, 1157, 50223, 3678, 48399, 30, 2582, 17370, 7320, 996, 7509, 116, 1157, 6, 7509, 165, 534, 1834, 50223, 26450, 4, 10, 7509, 165, 2933, 7920, 36183, 201, 4380, 29897, 11890, 19478, 23, 17936, 50223, 42342, 110, 10675, 1924, 45, 1493, 11201, 3563, 3643, 218, 7509, 881, 50223, 71, 45541, 90, 23, 791, 4, 5617, 18, 727, 5, 864, 16810, 26867, 4855, 4, 6, 11, 50223, 10440, 18, 59, 28793, 26633, 10413, 627, 29897, 11890, 5, 50223, 2458, 5, 1504, 24714, 34345, 5551, 11892, 7, 12691, 380, 569, 7509, 165, 928, 7, 4394, 293, 50223, 96, 19440, 5, 50223, 1046, 47864, 352, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 19678, 21162, 4, 39, 37, 31, 16832, 3507, 21737, 9, 11450, 41090, 28913, 50223, 1297, 1282, 1100, 5, 50223, 196, 5, 34124, 7306, 400, 13426, 7, 8564, 4, 13, 1712, 17, 3028, 2018, 9948, 10094, 4104, 4, 26, 17, 50223, 14930, 572, 29218, 7509, 116, 1157, 28, 23486, 2193, 34345, 82, 50223, 4767, 4753, 3563, 7509, 116, 1157, 7320, 940, 146, 29897, 4852, 6, 7509, 391, 5, 50223, 259, 5, 268, 19883, 3305, 10, 434, 5455, 6, 40758, 7, 713, 3291, 22983, 1572, 6, 11, 45, 50223, 2650, 87, 8380, 163, 11175, 269, 30, 237, 8195, 5, 50223, 328, 5, 34124, 7306, 400, 14229, 407, 4, 13, 3305, 7320, 614, 14451, 6, 2029, 4, 629, 50223, 71, 13938, 5575, 4, 37, 8, 25744, 151, 4, 65, 23, 863, 6777, 9870, 43615, 2318, 4, 3831, 50223, 100, 32445, 465, 3862, 18577, 14476, 6, 7, 7961, 7663, 149, 37814, 1473, 5114, 407, 5, 50223, 266, 5, 12256, 5885, 10, 8868, 406, 8, 1020, 2557, 2186, 553, 4, 15, 349, 260, 2022, 7509, 165, 50223, 71, 484, 29897, 1672, 5, 50223, 444, 5, 12256, 5885, 26545, 15372, 7671, 102, 28095, 16851, 462, 14643, 6, 8618, 50223, 201, 9223, 16774, 3398, 28, 1090, 102, 17860, 8, 18066, 6738, 161, 16590, 9577, 5, 50223, 32, 30889, 2636, 4, 864, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 159, 30889, 2636, 4, 864, 1182, 894, 5, 7595, 5, 1508, 2659, 1182, 1182, 50223, 1514, 7956, 165, 50244, 225, 1402, 654, 13164, 1672, 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, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 6, 11, 50223, 10440, 18, 59, 28793, 26633, 10413, 627, 29897, 11890, 5, 50223, 2458, 5, 1504, 24714, 34345, 5551, 11892, 7, 12691, 380, 569, 7509, 165, 928, 7, 4394, 293, 50223, 96, 19440, 5, 50223, 1046, 47864, 352, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 19678, 21162, 4, 39, 37, 31, 16832, 3507, 21737, 9, 11450, 41090, 28913, 50223, 1297, 1282, 1100, 5, 50223, 196, 5, 34124, 7306, 400, 13426, 7, 8564, 4, 13, 1712, 17, 3028, 2018, 9948, 10094, 4104, 4, 26, 17, 50223, 14930, 572, 29218, 7509, 116, 1157, 28, 23486, 2193, 34345, 82, 50223, 4767, 4753, 3563, 7509, 116, 1157, 7320, 940, 146, 29897, 4852, 6, 7509, 391, 5, 50223, 259, 5, 268, 19883, 3305, 10, 434, 5455, 6, 40758, 7, 713, 3291, 22983, 1572, 6, 11, 45, 50223, 2650, 87, 8380, 163, 11175, 269, 30, 237, 8195, 5, 50223, 328, 5, 34124, 7306, 400, 14229, 407, 4, 13, 3305, 7320, 614, 14451, 6, 2029, 4, 629, 50223, 71, 13938, 5575, 4, 37, 8, 25744, 151, 4, 65, 23, 863, 6777, 9870, 43615, 2318, 4, 3831, 50223, 100, 32445, 465, 3862, 18577, 14476, 6, 7, 7961, 7663, 149, 37814, 1473, 5114, 407, 5, 50223, 266, 5, 12256, 5885, 10, 8868, 406, 8, 1020, 2557, 2186, 553, 4, 15, 349, 260, 2022, 7509, 165, 50223, 71, 484, 29897, 1672, 5, 50223, 444, 5, 12256, 5885, 26545, 15372, 7671, 102, 28095, 16851, 462, 14643, 6, 8618, 50223, 201, 9223, 16774, 3398, 28, 1090, 102, 17860, 8, 18066, 6738, 161, 16590, 9577, 5, 50223, 32, 30889, 2636, 4, 864, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 159, 30889, 2636, 4, 864, 1182, 894, 5, 7595, 5, 1508, 2659, 1182, 1182, 50223, 1514, 7956, 165, 50244, 225, 1402, 654, 13164, 1672, 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, 50223, 30902, 8613, 341, 153, 2380, 5868, 1812, 50223, 1600, 22483, 607, 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 ]
[ -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, 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, 3, 4, 4, 4, 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 ]
[ 0, 6, 40758, 7, 713, 3291, 22983, 1572, 6, 11, 45, 50223, 2650, 87, 8380, 163, 11175, 269, 30, 237, 8195, 5, 50223, 328, 5, 34124, 7306, 400, 14229, 407, 4, 13, 3305, 7320, 614, 14451, 6, 2029, 4, 629, 50223, 71, 13938, 5575, 4, 37, 8, 25744, 151, 4, 65, 23, 863, 6777, 9870, 43615, 2318, 4, 3831, 50223, 100, 32445, 465, 3862, 18577, 14476, 6, 7, 7961, 7663, 149, 37814, 1473, 5114, 407, 5, 50223, 266, 5, 12256, 5885, 10, 8868, 406, 8, 1020, 2557, 2186, 553, 4, 15, 349, 260, 2022, 7509, 165, 50223, 71, 484, 29897, 1672, 5, 50223, 444, 5, 12256, 5885, 26545, 15372, 7671, 102, 28095, 16851, 462, 14643, 6, 8618, 50223, 201, 9223, 16774, 3398, 28, 1090, 102, 17860, 8, 18066, 6738, 161, 16590, 9577, 5, 50223, 32, 30889, 2636, 4, 864, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 159, 30889, 2636, 4, 864, 1182, 894, 5, 7595, 5, 1508, 2659, 1182, 1182, 50223, 1514, 7956, 165, 50244, 225, 1402, 654, 13164, 1672, 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, 50223, 30902, 8613, 341, 153, 2380, 5868, 1812, 50223, 1600, 22483, 607, 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 ]
[ -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, 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, 3, 4, 4, 4, 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 ]
[ 0, 16590, 9577, 5, 50223, 32, 30889, 2636, 4, 864, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 159, 30889, 2636, 4, 864, 1182, 894, 5, 7595, 5, 1508, 2659, 1182, 1182, 50223, 1514, 7956, 165, 50244, 225, 1402, 654, 13164, 1672, 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, 50223, 30902, 8613, 341, 153, 2380, 5868, 1812, 50223, 1600, 22483, 607, 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 ]
[ -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, 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, 3, 4, 4, 4, 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 ]
[ 0, 2380, 5868, 1812, 50223, 1600, 22483, 607, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -100, 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 17199, 1054, 50209, 500, 32, 27, 3100, 253, 50209, 1508, 2659, 27, 7565, 14018, 27, 5748, 631, 50223, 1182, 16648, 631, 3813, 12570, 155, 36540, 280, 2334, 508, 5, 580, 612, 50209, 1508, 2659, 1182, 1182, 1182, 50223, 43683, 82, 1182, 23077, 24504, 352, 7722, 6, 856, 158, 5, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 30773, 289, 41348, 1182, 50223, 6, 1182, 23077, 24504, 446, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 15, 5, 17, 18, 45181, 7, 2324, 14245, 6, 17, 28578, 9878, 2108, 1182, 1182, 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, 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, 50223, 1046, 47864, 107, 1182, 50223, 34124, 7306, 400, 1182, 1182, 50223, 225, 1402, 654, 13164, 1672, 50244, 1182, 1182, 8286, 45043, 1182, 1182, 50223, 290, 13322, 287, 2380, 68, 5868, 126, 275, 4, 46613, 607, 50223, 1965, 3288, 50244, 26967, 2974, 1690, 207, 4348, 50209, 4708, 4, 563, 6503, 3317, 45043, 50223, 272, 24069, 50244, 1961, 528, 4487, 528, 50223, 2698, 1034, 5668, 50244, 27954, 6, 5, 56, 5, 50223, 27418, 2477, 50244, 3218, 7437, 563, 7048, 2985, 668, 2985, 4135, 4217, 1164, 430, 1635, 259, 50223, 50189, 32092, 36, 1182, 48870, 25177, 147, 1402, 654, 13164, 1672, 48870, 19594, 50191, 50223, 71, 50223, 3206, 7956, 165, 50244, 1182, 1182, 6651, 26176, 9845, 1182, 1182, 50223, 2272, 23273, 21, 455, 50244, 1182, 264, 198, 1118, 135, 305, 8670, 50209, 7590, 84, 563, 6503, 3317, 45043, 50223, 2421, 50244, 1182, 41271, 1182, 1182, 50223, 11033, 5, 50244, 1182, 1280, 5, 9192, 5, 1250, 12356, 1182, 1182, 50223, 2563, 73, 1253, 50244, 1182, 429, 2137, 328, 4463, 50209, 612, 4120, 444, 1182, 1182, 50223, 71, 8398, 50223, 15040, 26176, 9845, 153, 1182, 1182, 50223, 2563, 73, 9354, 50244, 1182, 37751, 2174, 1182, 1182, 50223, 2272, 23273, 21, 455, 50244, 1182, 264, 198, 1118, 135, 305, 8670, 50209, 7590, 84, 563, 6503, 3317, 45043, 50223, 2421, 50244, 1182, 7135, 8789, 1182, 1182, 50223, 11033, 5, 50244, 1182, 1270, 5, 7595, 5, 1250, 4487, 1182, 1182, 50223, 2563, 73, 1253, 50244, 1182, 3263, 266, 2247, 253, 50209, 612, 5728, 612, 1182, 1182, 50223, 50189, 32092, 36, 1182, 48870, 25177, 96, 7956, 165, 48870, 19594, 50191, 50223, 4540, 132, 21374, 5694, 7509, 176, 3305, 1182, 50189, 32092, 36, 1182, 48870, 25177, 100, 32445, 177, 48870, 19594, 50191, 82, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 50223, 1556, 42916, 41348, 8, 4083, 6284, 3333, 1182, 50189, 32092, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1046, 47864, 107, 1182, 50223, 34124, 7306, 400, 1182, 1182, 50223, 225, 1402, 654, 13164, 1672, 50244, 1182, 1182, 8286, 45043, 1182, 1182, 50223, 290, 13322, 287, 2380, 68, 5868, 126, 275, 4, 46613, 607, 50223, 1965, 3288, 50244, 26967, 2974, 1690, 207, 4348, 50209, 4708, 4, 563, 6503, 3317, 45043, 50223, 272, 24069, 50244, 1961, 528, 4487, 528, 50223, 2698, 1034, 5668, 50244, 27954, 6, 5, 56, 5, 50223, 27418, 2477, 50244, 3218, 7437, 563, 7048, 2985, 668, 2985, 4135, 4217, 1164, 430, 1635, 259, 50223, 50189, 32092, 36, 1182, 48870, 25177, 147, 1402, 654, 13164, 1672, 48870, 19594, 50191, 50223, 71, 50223, 3206, 7956, 165, 50244, 1182, 1182, 6651, 26176, 9845, 1182, 1182, 50223, 2272, 23273, 21, 455, 50244, 1182, 264, 198, 1118, 135, 305, 8670, 50209, 7590, 84, 563, 6503, 3317, 45043, 50223, 2421, 50244, 1182, 41271, 1182, 1182, 50223, 11033, 5, 50244, 1182, 1280, 5, 9192, 5, 1250, 12356, 1182, 1182, 50223, 2563, 73, 1253, 50244, 1182, 429, 2137, 328, 4463, 50209, 612, 4120, 444, 1182, 1182, 50223, 71, 8398, 50223, 15040, 26176, 9845, 153, 1182, 1182, 50223, 2563, 73, 9354, 50244, 1182, 37751, 2174, 1182, 1182, 50223, 2272, 23273, 21, 455, 50244, 1182, 264, 198, 1118, 135, 305, 8670, 50209, 7590, 84, 563, 6503, 3317, 45043, 50223, 2421, 50244, 1182, 7135, 8789, 1182, 1182, 50223, 11033, 5, 50244, 1182, 1270, 5, 7595, 5, 1250, 4487, 1182, 1182, 50223, 2563, 73, 1253, 50244, 1182, 3263, 266, 2247, 253, 50209, 612, 5728, 612, 1182, 1182, 50223, 50189, 32092, 36, 1182, 48870, 25177, 96, 7956, 165, 48870, 19594, 50191, 50223, 4540, 132, 21374, 5694, 7509, 176, 3305, 1182, 50189, 32092, 36, 1182, 48870, 25177, 100, 32445, 177, 48870, 19594, 50191, 82, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 50223, 1556, 42916, 41348, 8, 4083, 6284, 3333, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1556, 42916, 41348, 48870, 19594, 50191, 50223, 71, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 15, 5, 17, 18, 45181, 7, 2324, 14245, 6, 17, 28578, 9878, 2108, 8, 4083, 50223, 52, 9761, 1197, 3333, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1297, 1282, 508, 5, 3872, 259, 50209, 10673, 239, 5, 15, 5, 48870, 19594, 50191, 50223, 290, 11139, 163, 2318, 50244, 50223, 1046, 47864, 119, 1182, 50223, 4458, 6666, 34345, 6, 8073, 59, 18512, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 7852, 17998, 133, 2031, 7509, 2042, 18, 18512, 1182, 150, 27, 28043, 534, 508, 5, 564, 4, 1182, 1182, 50223, 86, 4753, 1218, 9, 7, 1182, 119, 5, 10057, 1182, 27870, 1374, 4, 33817, 336, 186, 4, 1182, 7, 1182, 15880, 5838, 116, 2240, 4, 1182, 1182, 50223, 4468, 2186, 73, 1253, 4162, 5307, 4, 1182, 14702, 466, 1253, 1226, 8, 30889, 2636, 1182, 17, 20216, 3263, 4, 668, 413, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 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, 19, 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 264, 198, 1118, 135, 305, 8670, 50209, 7590, 84, 563, 6503, 3317, 45043, 50223, 2421, 50244, 1182, 41271, 1182, 1182, 50223, 11033, 5, 50244, 1182, 1280, 5, 9192, 5, 1250, 12356, 1182, 1182, 50223, 2563, 73, 1253, 50244, 1182, 429, 2137, 328, 4463, 50209, 612, 4120, 444, 1182, 1182, 50223, 71, 8398, 50223, 15040, 26176, 9845, 153, 1182, 1182, 50223, 2563, 73, 9354, 50244, 1182, 37751, 2174, 1182, 1182, 50223, 2272, 23273, 21, 455, 50244, 1182, 264, 198, 1118, 135, 305, 8670, 50209, 7590, 84, 563, 6503, 3317, 45043, 50223, 2421, 50244, 1182, 7135, 8789, 1182, 1182, 50223, 11033, 5, 50244, 1182, 1270, 5, 7595, 5, 1250, 4487, 1182, 1182, 50223, 2563, 73, 1253, 50244, 1182, 3263, 266, 2247, 253, 50209, 612, 5728, 612, 1182, 1182, 50223, 50189, 32092, 36, 1182, 48870, 25177, 96, 7956, 165, 48870, 19594, 50191, 50223, 4540, 132, 21374, 5694, 7509, 176, 3305, 1182, 50189, 32092, 36, 1182, 48870, 25177, 100, 32445, 177, 48870, 19594, 50191, 82, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 50223, 1556, 42916, 41348, 8, 4083, 6284, 3333, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1556, 42916, 41348, 48870, 19594, 50191, 50223, 71, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 15, 5, 17, 18, 45181, 7, 2324, 14245, 6, 17, 28578, 9878, 2108, 8, 4083, 50223, 52, 9761, 1197, 3333, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1297, 1282, 508, 5, 3872, 259, 50209, 10673, 239, 5, 15, 5, 48870, 19594, 50191, 50223, 290, 11139, 163, 2318, 50244, 50223, 1046, 47864, 119, 1182, 50223, 4458, 6666, 34345, 6, 8073, 59, 18512, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 7852, 17998, 133, 2031, 7509, 2042, 18, 18512, 1182, 150, 27, 28043, 534, 508, 5, 564, 4, 1182, 1182, 50223, 86, 4753, 1218, 9, 7, 1182, 119, 5, 10057, 1182, 27870, 1374, 4, 33817, 336, 186, 4, 1182, 7, 1182, 15880, 5838, 116, 2240, 4, 1182, 1182, 50223, 4468, 2186, 73, 1253, 4162, 5307, 4, 1182, 14702, 466, 1253, 1226, 8, 30889, 2636, 1182, 17, 20216, 3263, 4, 668, 413, 196, 1182, 50189, 32092, 36, 50223, 48870, 25177, 5430, 48870, 19594, 50191, 5, 50223, 196, 50223, 196, 5, 3206, 7956, 165, 21517, 9128, 534, 29, 658, 5, 10582, 5, 8580, 4, 571, 54, 29, 29897, 2875, 15779, 50223, 190, 2372, 8688, 68, 7, 3862, 17936, 5, 1190, 17893, 7383, 14108, 34345, 18, 18512, 50223, 379, 17900, 6737, 7509, 165, 38, 59, 23767, 14039, 1214, 30874, 17, 23767, 4104, 4, 47, 50223, 854, 22685, 16, 6170, 2447, 6, 6170, 23724, 4104, 5, 50223, 259, 5, 3206, 7956, 165, 4104, 6, 1371, 4, 39, 4471, 12, 7509, 391, 8, 6811, 4, 202, 4230, 383, 8764, 534, 50223, 654, 928, 8764, 3357, 4675, 6, 2968, 1374, 4, 19, 16, 40194, 731, 12368, 4, 50223, 4724, 643, 10895, 10, 3938, 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, 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, 3, 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, 19, 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 2563, 73, 1253, 50244, 1182, 3263, 266, 2247, 253, 50209, 612, 5728, 612, 1182, 1182, 50223, 50189, 32092, 36, 1182, 48870, 25177, 96, 7956, 165, 48870, 19594, 50191, 50223, 4540, 132, 21374, 5694, 7509, 176, 3305, 1182, 50189, 32092, 36, 1182, 48870, 25177, 100, 32445, 177, 48870, 19594, 50191, 82, 638, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 50223, 1556, 42916, 41348, 8, 4083, 6284, 3333, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1556, 42916, 41348, 48870, 19594, 50191, 50223, 71, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 15, 5, 17, 18, 45181, 7, 2324, 14245, 6, 17, 28578, 9878, 2108, 8, 4083, 50223, 52, 9761, 1197, 3333, 1182, 50189, 32092, 36, 1182, 48870, 25177, 1297, 1282, 508, 5, 3872, 259, 50209, 10673, 239, 5, 15, 5, 48870, 19594, 50191, 50223, 290, 11139, 163, 2318, 50244, 50223, 1046, 47864, 119, 1182, 50223, 4458, 6666, 34345, 6, 8073, 59, 18512, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 7852, 17998, 133, 2031, 7509, 2042, 18, 18512, 1182, 150, 27, 28043, 534, 508, 5, 564, 4, 1182, 1182, 50223, 86, 4753, 1218, 9, 7, 1182, 119, 5, 10057, 1182, 27870, 1374, 4, 33817, 336, 186, 4, 1182, 7, 1182, 15880, 5838, 116, 2240, 4, 1182, 1182, 50223, 4468, 2186, 73, 1253, 4162, 5307, 4, 1182, 14702, 466, 1253, 1226, 8, 30889, 2636, 1182, 17, 20216, 3263, 4, 668, 413, 196, 1182, 50189, 32092, 36, 50223, 48870, 25177, 5430, 48870, 19594, 50191, 5, 50223, 196, 50223, 196, 5, 3206, 7956, 165, 21517, 9128, 534, 29, 658, 5, 10582, 5, 8580, 4, 571, 54, 29, 29897, 2875, 15779, 50223, 190, 2372, 8688, 68, 7, 3862, 17936, 5, 1190, 17893, 7383, 14108, 34345, 18, 18512, 50223, 379, 17900, 6737, 7509, 165, 38, 59, 23767, 14039, 1214, 30874, 17, 23767, 4104, 4, 47, 50223, 854, 22685, 16, 6170, 2447, 6, 6170, 23724, 4104, 5, 50223, 259, 5, 3206, 7956, 165, 4104, 6, 1371, 4, 39, 4471, 12, 7509, 391, 8, 6811, 4, 202, 4230, 383, 8764, 534, 50223, 654, 928, 8764, 3357, 4675, 6, 2968, 1374, 4, 19, 16, 40194, 731, 12368, 4, 50223, 4724, 643, 10895, 10, 3938, 12, 48126, 4104, 5, 50223, 328, 5, 3206, 7956, 165, 10, 10260, 8764, 534, 36, 7, 7445, 5, 50223, 1046, 47864, 150, 1182, 50223, 4280, 71, 34345, 6, 34418, 34345, 4104, 1182, 1182, 50223, 253, 5, 3206, 7956, 96, 5885, 9, 11708, 7, 713, 11009, 52, 9735, 168, 9820, 607, 50223, 4532, 320, 49401, 17, 3814, 3028, 9013, 4394, 6, 15058, 832, 12, 4394, 524, 7617, 68, 607, 50223, 50189, 32092, 36, 1182, 48870, 25177, 41096, 474, 48870, 19594, 50191, 7, 1785, 13907, 50244, 1182, 29, 658, 5, 10582, 5, 1508, 2659, 18, 446, 5, 10582, 5, 1508, 4064, 5, 1182, 1182, 50223, 196, 5, 529, 23486, 2193, 34345, 55, 7509, 165, 928, 7, 32707, 29218, 7509, 116, 50223, 100, 32445, 465, 7, 1785, 13907, 188, 23, 36878, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ -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, 19, 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, 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, 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 ]
[ 0, 3872, 259, 50209, 10673, 239, 5, 15, 5, 48870, 19594, 50191, 50223, 290, 11139, 163, 2318, 50244, 50223, 1046, 47864, 119, 1182, 50223, 4458, 6666, 34345, 6, 8073, 59, 18512, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 7852, 17998, 133, 2031, 7509, 2042, 18, 18512, 1182, 150, 27, 28043, 534, 508, 5, 564, 4, 1182, 1182, 50223, 86, 4753, 1218, 9, 7, 1182, 119, 5, 10057, 1182, 27870, 1374, 4, 33817, 336, 186, 4, 1182, 7, 1182, 15880, 5838, 116, 2240, 4, 1182, 1182, 50223, 4468, 2186, 73, 1253, 4162, 5307, 4, 1182, 14702, 466, 1253, 1226, 8, 30889, 2636, 1182, 17, 20216, 3263, 4, 668, 413, 196, 1182, 50189, 32092, 36, 50223, 48870, 25177, 5430, 48870, 19594, 50191, 5, 50223, 196, 50223, 196, 5, 3206, 7956, 165, 21517, 9128, 534, 29, 658, 5, 10582, 5, 8580, 4, 571, 54, 29, 29897, 2875, 15779, 50223, 190, 2372, 8688, 68, 7, 3862, 17936, 5, 1190, 17893, 7383, 14108, 34345, 18, 18512, 50223, 379, 17900, 6737, 7509, 165, 38, 59, 23767, 14039, 1214, 30874, 17, 23767, 4104, 4, 47, 50223, 854, 22685, 16, 6170, 2447, 6, 6170, 23724, 4104, 5, 50223, 259, 5, 3206, 7956, 165, 4104, 6, 1371, 4, 39, 4471, 12, 7509, 391, 8, 6811, 4, 202, 4230, 383, 8764, 534, 50223, 654, 928, 8764, 3357, 4675, 6, 2968, 1374, 4, 19, 16, 40194, 731, 12368, 4, 50223, 4724, 643, 10895, 10, 3938, 12, 48126, 4104, 5, 50223, 328, 5, 3206, 7956, 165, 10, 10260, 8764, 534, 36, 7, 7445, 5, 50223, 1046, 47864, 150, 1182, 50223, 4280, 71, 34345, 6, 34418, 34345, 4104, 1182, 1182, 50223, 253, 5, 3206, 7956, 96, 5885, 9, 11708, 7, 713, 11009, 52, 9735, 168, 9820, 607, 50223, 4532, 320, 49401, 17, 3814, 3028, 9013, 4394, 6, 15058, 832, 12, 4394, 524, 7617, 68, 607, 50223, 50189, 32092, 36, 1182, 48870, 25177, 41096, 474, 48870, 19594, 50191, 7, 1785, 13907, 50244, 1182, 29, 658, 5, 10582, 5, 1508, 2659, 18, 446, 5, 10582, 5, 1508, 4064, 5, 1182, 1182, 50223, 196, 5, 529, 23486, 2193, 34345, 55, 7509, 165, 928, 7, 32707, 29218, 7509, 116, 50223, 100, 32445, 465, 7, 1785, 13907, 188, 23, 36878, 2318, 29171, 8, 1182, 23077, 24504, 539, 1680, 5, 207, 24861, 50244, 50223, 71, 50191, 3710, 7509, 453, 6, 1648, 15534, 12, 783, 8, 6811, 1123, 13853, 154, 6595, 8989, 38877, 50223, 190, 1182, 23077, 24504, 446, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 15, 551, 50223, 211, 50191, 7509, 165, 6, 1371, 2236, 1329, 12, 783, 8, 6811, 1492, 13818, 866, 29897, 11890, 4, 50223, 2800, 120, 99, 20673, 33964, 10201, 8, 9284, 15113, 8, 2185, 2347, 3534, 50223, 33263, 449, 12, 17990, 607, 4, 50223, 134, 50191, 37, 31, 7575, 7, 16268, 541, 34345, 4104, 29897, 4852, 82, 1182, 23077, 24504, 429, 1164, 1680, 5, 107, 50223, 15198, 105, 5, 593, 50191, 4, 543, 50191, 4, 690, 50191, 28913, 19088, 4, 50223, 201, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 36, 50223, 48870, 25177, 5430, 48870, 19594, 50191, 5, 50223, 196, 50223, 196, 5, 3206, 7956, 165, 21517, 9128, 534, 29, 658, 5, 10582, 5, 8580, 4, 571, 54, 29, 29897, 2875, 15779, 50223, 190, 2372, 8688, 68, 7, 3862, 17936, 5, 1190, 17893, 7383, 14108, 34345, 18, 18512, 50223, 379, 17900, 6737, 7509, 165, 38, 59, 23767, 14039, 1214, 30874, 17, 23767, 4104, 4, 47, 50223, 854, 22685, 16, 6170, 2447, 6, 6170, 23724, 4104, 5, 50223, 259, 5, 3206, 7956, 165, 4104, 6, 1371, 4, 39, 4471, 12, 7509, 391, 8, 6811, 4, 202, 4230, 383, 8764, 534, 50223, 654, 928, 8764, 3357, 4675, 6, 2968, 1374, 4, 19, 16, 40194, 731, 12368, 4, 50223, 4724, 643, 10895, 10, 3938, 12, 48126, 4104, 5, 50223, 328, 5, 3206, 7956, 165, 10, 10260, 8764, 534, 36, 7, 7445, 5, 50223, 1046, 47864, 150, 1182, 50223, 4280, 71, 34345, 6, 34418, 34345, 4104, 1182, 1182, 50223, 253, 5, 3206, 7956, 96, 5885, 9, 11708, 7, 713, 11009, 52, 9735, 168, 9820, 607, 50223, 4532, 320, 49401, 17, 3814, 3028, 9013, 4394, 6, 15058, 832, 12, 4394, 524, 7617, 68, 607, 50223, 50189, 32092, 36, 1182, 48870, 25177, 41096, 474, 48870, 19594, 50191, 7, 1785, 13907, 50244, 1182, 29, 658, 5, 10582, 5, 1508, 2659, 18, 446, 5, 10582, 5, 1508, 4064, 5, 1182, 1182, 50223, 196, 5, 529, 23486, 2193, 34345, 55, 7509, 165, 928, 7, 32707, 29218, 7509, 116, 50223, 100, 32445, 465, 7, 1785, 13907, 188, 23, 36878, 2318, 29171, 8, 1182, 23077, 24504, 539, 1680, 5, 207, 24861, 50244, 50223, 71, 50191, 3710, 7509, 453, 6, 1648, 15534, 12, 783, 8, 6811, 1123, 13853, 154, 6595, 8989, 38877, 50223, 190, 1182, 23077, 24504, 446, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 15, 551, 50223, 211, 50191, 7509, 165, 6, 1371, 2236, 1329, 12, 783, 8, 6811, 1492, 13818, 866, 29897, 11890, 4, 50223, 2800, 120, 99, 20673, 33964, 10201, 8, 9284, 15113, 8, 2185, 2347, 3534, 50223, 33263, 449, 12, 17990, 607, 4, 50223, 134, 50191, 37, 31, 7575, 7, 16268, 541, 34345, 4104, 29897, 4852, 82, 1182, 23077, 24504, 429, 1164, 1680, 5, 107, 50223, 15198, 105, 5, 593, 50191, 4, 543, 50191, 4, 690, 50191, 28913, 19088, 4, 50223, 201, 50191, 7509, 165, 303, 15778, 7509, 168, 17985, 12785, 583, 1212, 2747, 50223, 190, 7509, 116, 8195, 4, 50223, 179, 50191, 7509, 165, 6, 1371, 2236, 1329, 8, 6811, 393, 12, 7509, 391, 202, 17502, 4746, 8, 923, 50223, 4532, 320, 49401, 5, 50223, 259, 5, 1504, 2582, 5395, 11708, 172, 7509, 116, 1157, 10, 7509, 165, 2933, 12989, 6594, 50223, 56, 3368, 213, 8989, 6, 8989, 1648, 15534, 12, 783, 8, 6811, 23, 33887, 273, 4, 47, 50223, 4767, 4753, 2582, 17370, 76, 34345, 4104, 4, 6, 11, 5617, 580, 734, 67, 681, 6951, 50223, 96, 31916, 4104, 7, 1785, 13907, 5, 1368, 7509, 165, 569, 1239, 17, 32707, 29218, 50223, 96, 7956, 116, 1157, 4, 10, 2933, 35771, 11, 29897, 11890, 5617, 150, 2535, 67, 50223, 1297, 2, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 165, 10, 10260, 8764, 534, 36, 7, 7445, 5, 50223, 1046, 47864, 150, 1182, 50223, 4280, 71, 34345, 6, 34418, 34345, 4104, 1182, 1182, 50223, 253, 5, 3206, 7956, 96, 5885, 9, 11708, 7, 713, 11009, 52, 9735, 168, 9820, 607, 50223, 4532, 320, 49401, 17, 3814, 3028, 9013, 4394, 6, 15058, 832, 12, 4394, 524, 7617, 68, 607, 50223, 50189, 32092, 36, 1182, 48870, 25177, 41096, 474, 48870, 19594, 50191, 7, 1785, 13907, 50244, 1182, 29, 658, 5, 10582, 5, 1508, 2659, 18, 446, 5, 10582, 5, 1508, 4064, 5, 1182, 1182, 50223, 196, 5, 529, 23486, 2193, 34345, 55, 7509, 165, 928, 7, 32707, 29218, 7509, 116, 50223, 100, 32445, 465, 7, 1785, 13907, 188, 23, 36878, 2318, 29171, 8, 1182, 23077, 24504, 539, 1680, 5, 207, 24861, 50244, 50223, 71, 50191, 3710, 7509, 453, 6, 1648, 15534, 12, 783, 8, 6811, 1123, 13853, 154, 6595, 8989, 38877, 50223, 190, 1182, 23077, 24504, 446, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 15, 551, 50223, 211, 50191, 7509, 165, 6, 1371, 2236, 1329, 12, 783, 8, 6811, 1492, 13818, 866, 29897, 11890, 4, 50223, 2800, 120, 99, 20673, 33964, 10201, 8, 9284, 15113, 8, 2185, 2347, 3534, 50223, 33263, 449, 12, 17990, 607, 4, 50223, 134, 50191, 37, 31, 7575, 7, 16268, 541, 34345, 4104, 29897, 4852, 82, 1182, 23077, 24504, 429, 1164, 1680, 5, 107, 50223, 15198, 105, 5, 593, 50191, 4, 543, 50191, 4, 690, 50191, 28913, 19088, 4, 50223, 201, 50191, 7509, 165, 303, 15778, 7509, 168, 17985, 12785, 583, 1212, 2747, 50223, 190, 7509, 116, 8195, 4, 50223, 179, 50191, 7509, 165, 6, 1371, 2236, 1329, 8, 6811, 393, 12, 7509, 391, 202, 17502, 4746, 8, 923, 50223, 4532, 320, 49401, 5, 50223, 259, 5, 1504, 2582, 5395, 11708, 172, 7509, 116, 1157, 10, 7509, 165, 2933, 12989, 6594, 50223, 56, 3368, 213, 8989, 6, 8989, 1648, 15534, 12, 783, 8, 6811, 23, 33887, 273, 4, 47, 50223, 4767, 4753, 2582, 17370, 76, 34345, 4104, 4, 6, 11, 5617, 580, 734, 67, 681, 6951, 50223, 96, 31916, 4104, 7, 1785, 13907, 5, 1368, 7509, 165, 569, 1239, 17, 32707, 29218, 50223, 96, 7956, 116, 1157, 4, 10, 2933, 35771, 11, 29897, 11890, 5617, 150, 2535, 67, 50223, 1297, 6951, 34345, 4104, 7, 1785, 13907, 5, 50223, 328, 5, 3206, 7956, 4104, 40035, 50244, 50223, 71, 50191, 46622, 2193, 4, 7, 376, 66, 45300, 4, 50223, 211, 50191, 8380, 185, 22376, 22983, 1572, 4, 50223, 134, 50191, 8380, 185, 14600, 252, 38900, 28887, 6308, 400, 4, 808, 29897, 1672, 141, 50223, 465, 26613, 7509, 4104, 188, 15, 2993, 5630, 8, 1182, 23077, 24504, 429, 1164, 28913, 50223, 1297, 1282, 1100, 5, 1504, 17655, 126, 7509, 4104, 4541, 46622, 17655, 116, 12621, 4, 95, 50223, 278, 416, 2535, 6, 1628, 39372, 4283, 7671, 4855, 23835, 28, 8141, 4, 50223, 190, 648, 124, 14600, 7728, 3977, 747, 28887, 6308, 723, 5, 50223, 1046, 47864, 207, 1182, 50223, 3206, 7956, 73, 6, 635, 22492, 23, 12368, 28333, 12, 48126, 2, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1182, 23077, 24504, 539, 1680, 5, 207, 24861, 50244, 50223, 71, 50191, 3710, 7509, 453, 6, 1648, 15534, 12, 783, 8, 6811, 1123, 13853, 154, 6595, 8989, 38877, 50223, 190, 1182, 23077, 24504, 446, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 15, 551, 50223, 211, 50191, 7509, 165, 6, 1371, 2236, 1329, 12, 783, 8, 6811, 1492, 13818, 866, 29897, 11890, 4, 50223, 2800, 120, 99, 20673, 33964, 10201, 8, 9284, 15113, 8, 2185, 2347, 3534, 50223, 33263, 449, 12, 17990, 607, 4, 50223, 134, 50191, 37, 31, 7575, 7, 16268, 541, 34345, 4104, 29897, 4852, 82, 1182, 23077, 24504, 429, 1164, 1680, 5, 107, 50223, 15198, 105, 5, 593, 50191, 4, 543, 50191, 4, 690, 50191, 28913, 19088, 4, 50223, 201, 50191, 7509, 165, 303, 15778, 7509, 168, 17985, 12785, 583, 1212, 2747, 50223, 190, 7509, 116, 8195, 4, 50223, 179, 50191, 7509, 165, 6, 1371, 2236, 1329, 8, 6811, 393, 12, 7509, 391, 202, 17502, 4746, 8, 923, 50223, 4532, 320, 49401, 5, 50223, 259, 5, 1504, 2582, 5395, 11708, 172, 7509, 116, 1157, 10, 7509, 165, 2933, 12989, 6594, 50223, 56, 3368, 213, 8989, 6, 8989, 1648, 15534, 12, 783, 8, 6811, 23, 33887, 273, 4, 47, 50223, 4767, 4753, 2582, 17370, 76, 34345, 4104, 4, 6, 11, 5617, 580, 734, 67, 681, 6951, 50223, 96, 31916, 4104, 7, 1785, 13907, 5, 1368, 7509, 165, 569, 1239, 17, 32707, 29218, 50223, 96, 7956, 116, 1157, 4, 10, 2933, 35771, 11, 29897, 11890, 5617, 150, 2535, 67, 50223, 1297, 6951, 34345, 4104, 7, 1785, 13907, 5, 50223, 328, 5, 3206, 7956, 4104, 40035, 50244, 50223, 71, 50191, 46622, 2193, 4, 7, 376, 66, 45300, 4, 50223, 211, 50191, 8380, 185, 22376, 22983, 1572, 4, 50223, 134, 50191, 8380, 185, 14600, 252, 38900, 28887, 6308, 400, 4, 808, 29897, 1672, 141, 50223, 465, 26613, 7509, 4104, 188, 15, 2993, 5630, 8, 1182, 23077, 24504, 429, 1164, 28913, 50223, 1297, 1282, 1100, 5, 1504, 17655, 126, 7509, 4104, 4541, 46622, 17655, 116, 12621, 4, 95, 50223, 278, 416, 2535, 6, 1628, 39372, 4283, 7671, 4855, 23835, 28, 8141, 4, 50223, 190, 648, 124, 14600, 7728, 3977, 747, 28887, 6308, 723, 5, 50223, 1046, 47864, 207, 1182, 50223, 3206, 7956, 73, 6, 635, 22492, 23, 12368, 28333, 12, 48126, 4104, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 10, 2933, 3020, 29897, 11890, 34543, 6, 19478, 23, 12368, 50223, 379, 25253, 572, 12, 48126, 4104, 1182, 50189, 32092, 36, 1182, 48870, 25177, 6248, 16740, 48870, 19594, 50191, 5, 50223, 259, 50223, 196, 5, 3206, 7956, 165, 10, 2933, 28, 1884, 1785, 15778, 34345, 36183, 201, 4380, 7920, 3734, 50223, 4326, 52, 30207, 18, 727, 5, 864, 15598, 4855, 29897, 11890, 34543, 6, 67, 29239, 7, 50223, 6248, 16740, 993, 5253, 13376, 4, 110, 45978, 221, 24317, 7, 1253, 7250, 50223, 147, 1402, 654, 13164, 2875, 186, 38810, 50244, 3218, 7437, 563, 7048, 2985, 668, 2985, 4135, 4217, 1164, 430, 1635, 259, 33, 18, 6016, 52, 50223, 24524, 425, 1992, 8, 30889, 2636, 50223, 8, 635, 26913, 2, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15778, 7509, 168, 17985, 12785, 583, 1212, 2747, 50223, 190, 7509, 116, 8195, 4, 50223, 179, 50191, 7509, 165, 6, 1371, 2236, 1329, 8, 6811, 393, 12, 7509, 391, 202, 17502, 4746, 8, 923, 50223, 4532, 320, 49401, 5, 50223, 259, 5, 1504, 2582, 5395, 11708, 172, 7509, 116, 1157, 10, 7509, 165, 2933, 12989, 6594, 50223, 56, 3368, 213, 8989, 6, 8989, 1648, 15534, 12, 783, 8, 6811, 23, 33887, 273, 4, 47, 50223, 4767, 4753, 2582, 17370, 76, 34345, 4104, 4, 6, 11, 5617, 580, 734, 67, 681, 6951, 50223, 96, 31916, 4104, 7, 1785, 13907, 5, 1368, 7509, 165, 569, 1239, 17, 32707, 29218, 50223, 96, 7956, 116, 1157, 4, 10, 2933, 35771, 11, 29897, 11890, 5617, 150, 2535, 67, 50223, 1297, 6951, 34345, 4104, 7, 1785, 13907, 5, 50223, 328, 5, 3206, 7956, 4104, 40035, 50244, 50223, 71, 50191, 46622, 2193, 4, 7, 376, 66, 45300, 4, 50223, 211, 50191, 8380, 185, 22376, 22983, 1572, 4, 50223, 134, 50191, 8380, 185, 14600, 252, 38900, 28887, 6308, 400, 4, 808, 29897, 1672, 141, 50223, 465, 26613, 7509, 4104, 188, 15, 2993, 5630, 8, 1182, 23077, 24504, 429, 1164, 28913, 50223, 1297, 1282, 1100, 5, 1504, 17655, 126, 7509, 4104, 4541, 46622, 17655, 116, 12621, 4, 95, 50223, 278, 416, 2535, 6, 1628, 39372, 4283, 7671, 4855, 23835, 28, 8141, 4, 50223, 190, 648, 124, 14600, 7728, 3977, 747, 28887, 6308, 723, 5, 50223, 1046, 47864, 207, 1182, 50223, 3206, 7956, 73, 6, 635, 22492, 23, 12368, 28333, 12, 48126, 4104, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 10, 2933, 3020, 29897, 11890, 34543, 6, 19478, 23, 12368, 50223, 379, 25253, 572, 12, 48126, 4104, 1182, 50189, 32092, 36, 1182, 48870, 25177, 6248, 16740, 48870, 19594, 50191, 5, 50223, 259, 50223, 196, 5, 3206, 7956, 165, 10, 2933, 28, 1884, 1785, 15778, 34345, 36183, 201, 4380, 7920, 3734, 50223, 4326, 52, 30207, 18, 727, 5, 864, 15598, 4855, 29897, 11890, 34543, 6, 67, 29239, 7, 50223, 6248, 16740, 993, 5253, 13376, 4, 110, 45978, 221, 24317, 7, 1253, 7250, 50223, 147, 1402, 654, 13164, 2875, 186, 38810, 50244, 3218, 7437, 563, 7048, 2985, 668, 2985, 4135, 4217, 1164, 430, 1635, 259, 33, 18, 6016, 52, 50223, 24524, 425, 1992, 8, 30889, 2636, 50223, 8, 635, 26913, 116, 1493, 1182, 1182, 581, 196, 4, 14837, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 1182, 1182, 50223, 50189, 7319, 68, 50244, 1176, 30835, 13850, 19965, 457, 45924, 3684, 13105, 50191, 5, 50223, 259, 5, 3023, 1363, 7509, 168, 10, 1182, 45291, 4, 8956, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 84, 28935, 82, 27626, 7775, 14304, 333, 508, 5, 50223, 7595, 50209, 500, 50209, 8940, 77, 864, 950, 5, 9192, 5, 8940, 17, 6011, 11506, 2846, 34345, 4394, 8, 4083, 6284, 50223, 4767, 34382, 6, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 15, 5, 5, 3023, 1363, 45541, 269, 23, 791, 10, 28935, 45, 50223, 929, 11315, 1182, 1915, 4, 9587, 1182, 49607, 14238, 27272, 50209, 12433, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ -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, 15, 16, 16, 16, 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, 15, 16, 16, 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 7, 1785, 13907, 5, 50223, 328, 5, 3206, 7956, 4104, 40035, 50244, 50223, 71, 50191, 46622, 2193, 4, 7, 376, 66, 45300, 4, 50223, 211, 50191, 8380, 185, 22376, 22983, 1572, 4, 50223, 134, 50191, 8380, 185, 14600, 252, 38900, 28887, 6308, 400, 4, 808, 29897, 1672, 141, 50223, 465, 26613, 7509, 4104, 188, 15, 2993, 5630, 8, 1182, 23077, 24504, 429, 1164, 28913, 50223, 1297, 1282, 1100, 5, 1504, 17655, 126, 7509, 4104, 4541, 46622, 17655, 116, 12621, 4, 95, 50223, 278, 416, 2535, 6, 1628, 39372, 4283, 7671, 4855, 23835, 28, 8141, 4, 50223, 190, 648, 124, 14600, 7728, 3977, 747, 28887, 6308, 723, 5, 50223, 1046, 47864, 207, 1182, 50223, 3206, 7956, 73, 6, 635, 22492, 23, 12368, 28333, 12, 48126, 4104, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 10, 2933, 3020, 29897, 11890, 34543, 6, 19478, 23, 12368, 50223, 379, 25253, 572, 12, 48126, 4104, 1182, 50189, 32092, 36, 1182, 48870, 25177, 6248, 16740, 48870, 19594, 50191, 5, 50223, 259, 50223, 196, 5, 3206, 7956, 165, 10, 2933, 28, 1884, 1785, 15778, 34345, 36183, 201, 4380, 7920, 3734, 50223, 4326, 52, 30207, 18, 727, 5, 864, 15598, 4855, 29897, 11890, 34543, 6, 67, 29239, 7, 50223, 6248, 16740, 993, 5253, 13376, 4, 110, 45978, 221, 24317, 7, 1253, 7250, 50223, 147, 1402, 654, 13164, 2875, 186, 38810, 50244, 3218, 7437, 563, 7048, 2985, 668, 2985, 4135, 4217, 1164, 430, 1635, 259, 33, 18, 6016, 52, 50223, 24524, 425, 1992, 8, 30889, 2636, 50223, 8, 635, 26913, 116, 1493, 1182, 1182, 581, 196, 4, 14837, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 1182, 1182, 50223, 50189, 7319, 68, 50244, 1176, 30835, 13850, 19965, 457, 45924, 3684, 13105, 50191, 5, 50223, 259, 5, 3023, 1363, 7509, 168, 10, 1182, 45291, 4, 8956, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 84, 28935, 82, 27626, 7775, 14304, 333, 508, 5, 50223, 7595, 50209, 500, 50209, 8940, 77, 864, 950, 5, 9192, 5, 8940, 17, 6011, 11506, 2846, 34345, 4394, 8, 4083, 6284, 50223, 4767, 34382, 6, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 15, 5, 5, 3023, 1363, 45541, 269, 23, 791, 10, 28935, 45, 50223, 929, 11315, 1182, 1915, 4, 9587, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 44, 50223, 328, 5, 159, 265, 4, 13, 7509, 165, 10873, 172, 399, 3657, 25470, 8, 9982, 5, 207, 1680, 5, 119, 4, 10, 2933, 50223, 88, 2253, 1833, 29897, 11890, 16, 6434, 15, 45708, 23, 394, 364, 45708, 4, 533, 50223, 929, 1363, 10, 7581, 406, 8, 38134, 673, 508, 5, 16077, 50209, 35156, 239, 5, 15, 5, 8, 4083, 6284, 3333, 50223, 50189, 32092, 36, 1182, 48870, 25177, 86, 16044, 282, 673, 48870, 19594, 50191, 5, 50223, 266, 5, 159, 265, 4, 13, 7509, 165, 38, 41799, 899, 21734, 1636, 4, 23, 47, 9, 635, 22492, 1450, 4, 33, 50223, 88, 21734, 1636, 4, 47, 34, 66, 27414, 319, 4, 33, 93, 15, 25272, 496, 11254, 4, 23, 39, 50223, 854, 3782, 343, 7509, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15, 16, 16, 16, 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, 15, 16, 16, 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 1182, 50223, 253, 5, 3206, 7956, 165, 10, 2933, 3020, 29897, 11890, 34543, 6, 19478, 23, 12368, 50223, 379, 25253, 572, 12, 48126, 4104, 1182, 50189, 32092, 36, 1182, 48870, 25177, 6248, 16740, 48870, 19594, 50191, 5, 50223, 259, 50223, 196, 5, 3206, 7956, 165, 10, 2933, 28, 1884, 1785, 15778, 34345, 36183, 201, 4380, 7920, 3734, 50223, 4326, 52, 30207, 18, 727, 5, 864, 15598, 4855, 29897, 11890, 34543, 6, 67, 29239, 7, 50223, 6248, 16740, 993, 5253, 13376, 4, 110, 45978, 221, 24317, 7, 1253, 7250, 50223, 147, 1402, 654, 13164, 2875, 186, 38810, 50244, 3218, 7437, 563, 7048, 2985, 668, 2985, 4135, 4217, 1164, 430, 1635, 259, 33, 18, 6016, 52, 50223, 24524, 425, 1992, 8, 30889, 2636, 50223, 8, 635, 26913, 116, 1493, 1182, 1182, 581, 196, 4, 14837, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 1182, 1182, 50223, 50189, 7319, 68, 50244, 1176, 30835, 13850, 19965, 457, 45924, 3684, 13105, 50191, 5, 50223, 259, 5, 3023, 1363, 7509, 168, 10, 1182, 45291, 4, 8956, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 84, 28935, 82, 27626, 7775, 14304, 333, 508, 5, 50223, 7595, 50209, 500, 50209, 8940, 77, 864, 950, 5, 9192, 5, 8940, 17, 6011, 11506, 2846, 34345, 4394, 8, 4083, 6284, 50223, 4767, 34382, 6, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 15, 5, 5, 3023, 1363, 45541, 269, 23, 791, 10, 28935, 45, 50223, 929, 11315, 1182, 1915, 4, 9587, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 44, 50223, 328, 5, 159, 265, 4, 13, 7509, 165, 10873, 172, 399, 3657, 25470, 8, 9982, 5, 207, 1680, 5, 119, 4, 10, 2933, 50223, 88, 2253, 1833, 29897, 11890, 16, 6434, 15, 45708, 23, 394, 364, 45708, 4, 533, 50223, 929, 1363, 10, 7581, 406, 8, 38134, 673, 508, 5, 16077, 50209, 35156, 239, 5, 15, 5, 8, 4083, 6284, 3333, 50223, 50189, 32092, 36, 1182, 48870, 25177, 86, 16044, 282, 673, 48870, 19594, 50191, 5, 50223, 266, 5, 159, 265, 4, 13, 7509, 165, 38, 41799, 899, 21734, 1636, 4, 23, 47, 9, 635, 22492, 1450, 4, 33, 50223, 88, 21734, 1636, 4, 47, 34, 66, 27414, 319, 4, 33, 93, 15, 25272, 496, 11254, 4, 23, 39, 50223, 854, 3782, 343, 7509, 165, 19478, 16381, 4, 10, 1732, 4, 39, 48, 635, 4082, 252, 42029, 4, 50223, 143, 6305, 2867, 8995, 29897, 1672, 788, 50245, 29897, 1672, 10186, 9550, 278, 13739, 1621, 50223, 56, 5012, 176, 31451, 4370, 5, 50223, 444, 5, 225, 1402, 654, 13164, 1672, 14, 683, 24495, 928, 16, 8, 1702, 2193, 34345, 2290, 6594, 50223, 96, 7956, 168, 19, 16, 13764, 820, 45541, 269, 23, 4051, 2391, 1301, 4, 93, 8433, 50223, 128, 2909, 8722, 3333, 6579, 2510, 43, 858, 33, 93, 7, 11, 48, 1322, 2102, 50223, 50189, 22288, 5, 3835, 1908, 1648, 8, 4980, 50191, 5, 159, 4961, 265, 9, 7509, 165, 20913, 50223, 88, 4974, 201, 4380, 34543, 6, 67, 29239, 23, 791, 45, 1493, 16399, 8, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15, 16, 16, 16, 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, 15, 16, 16, 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 1182, 1182, 581, 196, 4, 14837, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 1182, 1182, 50223, 50189, 7319, 68, 50244, 1176, 30835, 13850, 19965, 457, 45924, 3684, 13105, 50191, 5, 50223, 259, 5, 3023, 1363, 7509, 168, 10, 1182, 45291, 4, 8956, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 84, 28935, 82, 27626, 7775, 14304, 333, 508, 5, 50223, 7595, 50209, 500, 50209, 8940, 77, 864, 950, 5, 9192, 5, 8940, 17, 6011, 11506, 2846, 34345, 4394, 8, 4083, 6284, 50223, 4767, 34382, 6, 638, 508, 5, 3872, 259, 50209, 10673, 239, 5, 15, 5, 5, 3023, 1363, 45541, 269, 23, 791, 10, 28935, 45, 50223, 929, 11315, 1182, 1915, 4, 9587, 1182, 49607, 14238, 27272, 50209, 12433, 1473, 44, 50223, 328, 5, 159, 265, 4, 13, 7509, 165, 10873, 172, 399, 3657, 25470, 8, 9982, 5, 207, 1680, 5, 119, 4, 10, 2933, 50223, 88, 2253, 1833, 29897, 11890, 16, 6434, 15, 45708, 23, 394, 364, 45708, 4, 533, 50223, 929, 1363, 10, 7581, 406, 8, 38134, 673, 508, 5, 16077, 50209, 35156, 239, 5, 15, 5, 8, 4083, 6284, 3333, 50223, 50189, 32092, 36, 1182, 48870, 25177, 86, 16044, 282, 673, 48870, 19594, 50191, 5, 50223, 266, 5, 159, 265, 4, 13, 7509, 165, 38, 41799, 899, 21734, 1636, 4, 23, 47, 9, 635, 22492, 1450, 4, 33, 50223, 88, 21734, 1636, 4, 47, 34, 66, 27414, 319, 4, 33, 93, 15, 25272, 496, 11254, 4, 23, 39, 50223, 854, 3782, 343, 7509, 165, 19478, 16381, 4, 10, 1732, 4, 39, 48, 635, 4082, 252, 42029, 4, 50223, 143, 6305, 2867, 8995, 29897, 1672, 788, 50245, 29897, 1672, 10186, 9550, 278, 13739, 1621, 50223, 56, 5012, 176, 31451, 4370, 5, 50223, 444, 5, 225, 1402, 654, 13164, 1672, 14, 683, 24495, 928, 16, 8, 1702, 2193, 34345, 2290, 6594, 50223, 96, 7956, 168, 19, 16, 13764, 820, 45541, 269, 23, 4051, 2391, 1301, 4, 93, 8433, 50223, 128, 2909, 8722, 3333, 6579, 2510, 43, 858, 33, 93, 7, 11, 48, 1322, 2102, 50223, 50189, 22288, 5, 3835, 1908, 1648, 8, 4980, 50191, 5, 159, 4961, 265, 9, 7509, 165, 20913, 50223, 88, 4974, 201, 4380, 34543, 6, 67, 29239, 23, 791, 45, 1493, 16399, 8, 3350, 13764, 1953, 50223, 1297, 117, 1912, 68, 10033, 179, 5, 1529, 256, 132, 4470, 30351, 34164, 2102, 7, 38085, 11175, 90, 50223, 128, 237, 8195, 5, 50223, 497, 5, 239, 293, 33487, 25371, 4139, 2846, 23, 791, 6, 7509, 391, 18084, 14068, 45541, 269, 23, 50223, 43174, 791, 6879, 29897, 1672, 28, 23486, 16810, 26867, 509, 6, 50223, 4326, 52, 30207, 18, 1270, 5, 7062, 5, 23835, 509, 7728, 709, 7509, 2042, 12810, 33487, 4601, 23, 50223, 6248, 16740, 3938, 12, 9878, 3273, 1182, 50189, 32092, 36, 1182, 48870, 25177, 465, 293, 33487, 48870, 19594, 50191, 5, 50223, 528, 5, 159, 265, 4, 93, 12810, 36140, 1343, 5372, 1276, 20486, 4, 10, 7509, 165, 2933, 54, 22516, 50223, 43767, 68, 6, 8, 9124, 28164, 16399, 45, 12810, 36140, 691, 5, 1368, 1276, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15, 16, 16, 16, 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, 15, 16, 16, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 44, 50223, 328, 5, 159, 265, 4, 13, 7509, 165, 10873, 172, 399, 3657, 25470, 8, 9982, 5, 207, 1680, 5, 119, 4, 10, 2933, 50223, 88, 2253, 1833, 29897, 11890, 16, 6434, 15, 45708, 23, 394, 364, 45708, 4, 533, 50223, 929, 1363, 10, 7581, 406, 8, 38134, 673, 508, 5, 16077, 50209, 35156, 239, 5, 15, 5, 8, 4083, 6284, 3333, 50223, 50189, 32092, 36, 1182, 48870, 25177, 86, 16044, 282, 673, 48870, 19594, 50191, 5, 50223, 266, 5, 159, 265, 4, 13, 7509, 165, 38, 41799, 899, 21734, 1636, 4, 23, 47, 9, 635, 22492, 1450, 4, 33, 50223, 88, 21734, 1636, 4, 47, 34, 66, 27414, 319, 4, 33, 93, 15, 25272, 496, 11254, 4, 23, 39, 50223, 854, 3782, 343, 7509, 165, 19478, 16381, 4, 10, 1732, 4, 39, 48, 635, 4082, 252, 42029, 4, 50223, 143, 6305, 2867, 8995, 29897, 1672, 788, 50245, 29897, 1672, 10186, 9550, 278, 13739, 1621, 50223, 56, 5012, 176, 31451, 4370, 5, 50223, 444, 5, 225, 1402, 654, 13164, 1672, 14, 683, 24495, 928, 16, 8, 1702, 2193, 34345, 2290, 6594, 50223, 96, 7956, 168, 19, 16, 13764, 820, 45541, 269, 23, 4051, 2391, 1301, 4, 93, 8433, 50223, 128, 2909, 8722, 3333, 6579, 2510, 43, 858, 33, 93, 7, 11, 48, 1322, 2102, 50223, 50189, 22288, 5, 3835, 1908, 1648, 8, 4980, 50191, 5, 159, 4961, 265, 9, 7509, 165, 20913, 50223, 88, 4974, 201, 4380, 34543, 6, 67, 29239, 23, 791, 45, 1493, 16399, 8, 3350, 13764, 1953, 50223, 1297, 117, 1912, 68, 10033, 179, 5, 1529, 256, 132, 4470, 30351, 34164, 2102, 7, 38085, 11175, 90, 50223, 128, 237, 8195, 5, 50223, 497, 5, 239, 293, 33487, 25371, 4139, 2846, 23, 791, 6, 7509, 391, 18084, 14068, 45541, 269, 23, 50223, 43174, 791, 6879, 29897, 1672, 28, 23486, 16810, 26867, 509, 6, 50223, 4326, 52, 30207, 18, 1270, 5, 7062, 5, 23835, 509, 7728, 709, 7509, 2042, 12810, 33487, 4601, 23, 50223, 6248, 16740, 3938, 12, 9878, 3273, 1182, 50189, 32092, 36, 1182, 48870, 25177, 465, 293, 33487, 48870, 19594, 50191, 5, 50223, 528, 5, 159, 265, 4, 93, 12810, 36140, 1343, 5372, 1276, 20486, 4, 10, 7509, 165, 2933, 54, 22516, 50223, 43767, 68, 6, 8, 9124, 28164, 16399, 45, 12810, 36140, 691, 5, 1368, 1276, 20486, 899, 2253, 1665, 50223, 190, 9124, 28164, 4, 10, 2933, 5013, 29897, 11890, 16, 6434, 15, 45708, 50223, 31659, 1680, 5, 207, 332, 1973, 5, 50223, 612, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 34823, 389, 24, 20486, 15, 635, 4082, 8249, 1040, 7509, 391, 50223, 2800, 24, 20486, 4089, 3180, 15, 12810, 36140, 687, 12, 1276, 5012, 560, 15, 8043, 50223, 854, 3782, 183, 4, 39, 9439, 42373, 9115, 7509, 453, 5630, 8, 1973, 207, 5, 50223, 828, 5, 1368, 12810, 36140, 1343, 5372, 7509, 2042, 21556, 11283, 24, 20486, 4, 29897, 1672, 54, 50223, 465, 12573, 7509, 2042, 932, 6, 8, 48812, 6109, 5630, 45, 12810, 36140, 691, 4, 93, 9, 42471, 172, 50223, 379, 2136, 82, 1680, 5, 539, 332, 1973, 5, 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 ]
[ -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, 16381, 4, 10, 1732, 4, 39, 48, 635, 4082, 252, 42029, 4, 50223, 143, 6305, 2867, 8995, 29897, 1672, 788, 50245, 29897, 1672, 10186, 9550, 278, 13739, 1621, 50223, 56, 5012, 176, 31451, 4370, 5, 50223, 444, 5, 225, 1402, 654, 13164, 1672, 14, 683, 24495, 928, 16, 8, 1702, 2193, 34345, 2290, 6594, 50223, 96, 7956, 168, 19, 16, 13764, 820, 45541, 269, 23, 4051, 2391, 1301, 4, 93, 8433, 50223, 128, 2909, 8722, 3333, 6579, 2510, 43, 858, 33, 93, 7, 11, 48, 1322, 2102, 50223, 50189, 22288, 5, 3835, 1908, 1648, 8, 4980, 50191, 5, 159, 4961, 265, 9, 7509, 165, 20913, 50223, 88, 4974, 201, 4380, 34543, 6, 67, 29239, 23, 791, 45, 1493, 16399, 8, 3350, 13764, 1953, 50223, 1297, 117, 1912, 68, 10033, 179, 5, 1529, 256, 132, 4470, 30351, 34164, 2102, 7, 38085, 11175, 90, 50223, 128, 237, 8195, 5, 50223, 497, 5, 239, 293, 33487, 25371, 4139, 2846, 23, 791, 6, 7509, 391, 18084, 14068, 45541, 269, 23, 50223, 43174, 791, 6879, 29897, 1672, 28, 23486, 16810, 26867, 509, 6, 50223, 4326, 52, 30207, 18, 1270, 5, 7062, 5, 23835, 509, 7728, 709, 7509, 2042, 12810, 33487, 4601, 23, 50223, 6248, 16740, 3938, 12, 9878, 3273, 1182, 50189, 32092, 36, 1182, 48870, 25177, 465, 293, 33487, 48870, 19594, 50191, 5, 50223, 528, 5, 159, 265, 4, 93, 12810, 36140, 1343, 5372, 1276, 20486, 4, 10, 7509, 165, 2933, 54, 22516, 50223, 43767, 68, 6, 8, 9124, 28164, 16399, 45, 12810, 36140, 691, 5, 1368, 1276, 20486, 899, 2253, 1665, 50223, 190, 9124, 28164, 4, 10, 2933, 5013, 29897, 11890, 16, 6434, 15, 45708, 50223, 31659, 1680, 5, 207, 332, 1973, 5, 50223, 612, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 34823, 389, 24, 20486, 15, 635, 4082, 8249, 1040, 7509, 391, 50223, 2800, 24, 20486, 4089, 3180, 15, 12810, 36140, 687, 12, 1276, 5012, 560, 15, 8043, 50223, 854, 3782, 183, 4, 39, 9439, 42373, 9115, 7509, 453, 5630, 8, 1973, 207, 5, 50223, 828, 5, 1368, 12810, 36140, 1343, 5372, 7509, 2042, 21556, 11283, 24, 20486, 4, 29897, 1672, 54, 50223, 465, 12573, 7509, 2042, 932, 6, 8, 48812, 6109, 5630, 45, 12810, 36140, 691, 4, 93, 9, 42471, 172, 50223, 379, 2136, 82, 1680, 5, 539, 332, 1973, 5, 50223, 1046, 47864, 229, 1182, 50223, 24766, 177, 6, 3488, 22983, 1572, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 10, 10260, 18715, 8, 6811, 188, 12, 19559, 4, 39, 29897, 1672, 38887, 19, 50223, 23907, 118, 2236, 1329, 8, 6811, 12, 7509, 391, 5, 50223, 328, 50223, 196, 5, 3206, 7956, 165, 37, 10, 10260, 17998, 11668, 534, 33, 59, 637, 18, 108, 96, 31916, 4591, 6165, 5, 50223, 259, 5, 3206, 7956, 165, 10, 2933, 8764, 534, 4, 3357, 4675, 6, 2968, 1374, 3862, 50223, 71, 3862, 40194, 731, 12368, 4, 349, 10895, 10, 3938, 12, 48126, 4104, 5, 50223, 48028, 17, 15401, 18512, 4104, 4, 12875, 5352, 6, 1733, 18264, 50223, 3786, 370, 5111, 5, 50223, 328, 5, 3206, 7956, 165, 10, 2933, 38, 10244, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10033, 179, 5, 1529, 256, 132, 4470, 30351, 34164, 2102, 7, 38085, 11175, 90, 50223, 128, 237, 8195, 5, 50223, 497, 5, 239, 293, 33487, 25371, 4139, 2846, 23, 791, 6, 7509, 391, 18084, 14068, 45541, 269, 23, 50223, 43174, 791, 6879, 29897, 1672, 28, 23486, 16810, 26867, 509, 6, 50223, 4326, 52, 30207, 18, 1270, 5, 7062, 5, 23835, 509, 7728, 709, 7509, 2042, 12810, 33487, 4601, 23, 50223, 6248, 16740, 3938, 12, 9878, 3273, 1182, 50189, 32092, 36, 1182, 48870, 25177, 465, 293, 33487, 48870, 19594, 50191, 5, 50223, 528, 5, 159, 265, 4, 93, 12810, 36140, 1343, 5372, 1276, 20486, 4, 10, 7509, 165, 2933, 54, 22516, 50223, 43767, 68, 6, 8, 9124, 28164, 16399, 45, 12810, 36140, 691, 5, 1368, 1276, 20486, 899, 2253, 1665, 50223, 190, 9124, 28164, 4, 10, 2933, 5013, 29897, 11890, 16, 6434, 15, 45708, 50223, 31659, 1680, 5, 207, 332, 1973, 5, 50223, 612, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 34823, 389, 24, 20486, 15, 635, 4082, 8249, 1040, 7509, 391, 50223, 2800, 24, 20486, 4089, 3180, 15, 12810, 36140, 687, 12, 1276, 5012, 560, 15, 8043, 50223, 854, 3782, 183, 4, 39, 9439, 42373, 9115, 7509, 453, 5630, 8, 1973, 207, 5, 50223, 828, 5, 1368, 12810, 36140, 1343, 5372, 7509, 2042, 21556, 11283, 24, 20486, 4, 29897, 1672, 54, 50223, 465, 12573, 7509, 2042, 932, 6, 8, 48812, 6109, 5630, 45, 12810, 36140, 691, 4, 93, 9, 42471, 172, 50223, 379, 2136, 82, 1680, 5, 539, 332, 1973, 5, 50223, 1046, 47864, 229, 1182, 50223, 24766, 177, 6, 3488, 22983, 1572, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 10, 10260, 18715, 8, 6811, 188, 12, 19559, 4, 39, 29897, 1672, 38887, 19, 50223, 23907, 118, 2236, 1329, 8, 6811, 12, 7509, 391, 5, 50223, 328, 50223, 196, 5, 3206, 7956, 165, 37, 10, 10260, 17998, 11668, 534, 33, 59, 637, 18, 108, 96, 31916, 4591, 6165, 5, 50223, 259, 5, 3206, 7956, 165, 10, 2933, 8764, 534, 4, 3357, 4675, 6, 2968, 1374, 3862, 50223, 71, 3862, 40194, 731, 12368, 4, 349, 10895, 10, 3938, 12, 48126, 4104, 5, 50223, 48028, 17, 15401, 18512, 4104, 4, 12875, 5352, 6, 1733, 18264, 50223, 3786, 370, 5111, 5, 50223, 328, 5, 3206, 7956, 165, 10, 2933, 38, 10244, 483, 1692, 29333, 4, 41, 9, 8, 2784, 38799, 50223, 147, 15497, 343, 5401, 1747, 8542, 7509, 391, 1258, 43, 1692, 5, 50223, 266, 5, 3206, 7956, 165, 10, 2933, 3334, 18703, 20375, 8609, 8, 6811, 4, 9431, 9, 17, 39832, 50223, 293, 13599, 511, 4104, 6, 805, 1833, 2183, 12, 171, 3938, 4, 8, 2185, 9820, 673, 5, 50223, 444, 5, 1368, 9, 7509, 165, 47285, 506, 17, 7314, 73, 18703, 20375, 8609, 6, 39832, 14024, 4104, 4, 50223, 1153, 29897, 1672, 928, 25, 1146, 28, 17075, 6401, 3473, 7509, 453, 7, 50223, 56, 16599, 2183, 788, 6, 18014, 29, 458, 11793, 5, 50223, 497, 5, 3206, 7956, 165, 10, 2933, 12900, 110, 23252, 26169, 29897, 11890, 5289, 578, 50223, 143, 6305, 8, 6811, 4, 39, 55, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9124, 28164, 4, 10, 2933, 5013, 29897, 11890, 16, 6434, 15, 45708, 50223, 31659, 1680, 5, 207, 332, 1973, 5, 50223, 612, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 34823, 389, 24, 20486, 15, 635, 4082, 8249, 1040, 7509, 391, 50223, 2800, 24, 20486, 4089, 3180, 15, 12810, 36140, 687, 12, 1276, 5012, 560, 15, 8043, 50223, 854, 3782, 183, 4, 39, 9439, 42373, 9115, 7509, 453, 5630, 8, 1973, 207, 5, 50223, 828, 5, 1368, 12810, 36140, 1343, 5372, 7509, 2042, 21556, 11283, 24, 20486, 4, 29897, 1672, 54, 50223, 465, 12573, 7509, 2042, 932, 6, 8, 48812, 6109, 5630, 45, 12810, 36140, 691, 4, 93, 9, 42471, 172, 50223, 379, 2136, 82, 1680, 5, 539, 332, 1973, 5, 50223, 1046, 47864, 229, 1182, 50223, 24766, 177, 6, 3488, 22983, 1572, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 10, 10260, 18715, 8, 6811, 188, 12, 19559, 4, 39, 29897, 1672, 38887, 19, 50223, 23907, 118, 2236, 1329, 8, 6811, 12, 7509, 391, 5, 50223, 328, 50223, 196, 5, 3206, 7956, 165, 37, 10, 10260, 17998, 11668, 534, 33, 59, 637, 18, 108, 96, 31916, 4591, 6165, 5, 50223, 259, 5, 3206, 7956, 165, 10, 2933, 8764, 534, 4, 3357, 4675, 6, 2968, 1374, 3862, 50223, 71, 3862, 40194, 731, 12368, 4, 349, 10895, 10, 3938, 12, 48126, 4104, 5, 50223, 48028, 17, 15401, 18512, 4104, 4, 12875, 5352, 6, 1733, 18264, 50223, 3786, 370, 5111, 5, 50223, 328, 5, 3206, 7956, 165, 10, 2933, 38, 10244, 483, 1692, 29333, 4, 41, 9, 8, 2784, 38799, 50223, 147, 15497, 343, 5401, 1747, 8542, 7509, 391, 1258, 43, 1692, 5, 50223, 266, 5, 3206, 7956, 165, 10, 2933, 3334, 18703, 20375, 8609, 8, 6811, 4, 9431, 9, 17, 39832, 50223, 293, 13599, 511, 4104, 6, 805, 1833, 2183, 12, 171, 3938, 4, 8, 2185, 9820, 673, 5, 50223, 444, 5, 1368, 9, 7509, 165, 47285, 506, 17, 7314, 73, 18703, 20375, 8609, 6, 39832, 14024, 4104, 4, 50223, 1153, 29897, 1672, 928, 25, 1146, 28, 17075, 6401, 3473, 7509, 453, 7, 50223, 56, 16599, 2183, 788, 6, 18014, 29, 458, 11793, 5, 50223, 497, 5, 3206, 7956, 165, 10, 2933, 12900, 110, 23252, 26169, 29897, 11890, 5289, 578, 50223, 143, 6305, 8, 6811, 4, 39, 55, 35075, 29897, 1672, 6, 17559, 43, 18703, 50245, 660, 50223, 100, 23696, 256, 23, 9238, 4, 95, 10873, 3991, 237, 3488, 4005, 5, 159, 265, 4, 13, 50223, 143, 5631, 1614, 38574, 4, 901, 175, 4, 13, 29897, 1672, 21093, 18703, 11512, 50223, 56, 32984, 9836, 4, 16069, 7, 11, 29897, 2875, 4, 94, 893, 24268, 496, 38574, 5, 50223, 528, 5, 3206, 7956, 165, 10, 2933, 6126, 26814, 436, 6, 14735, 4, 39, 8688, 8, 2784, 788, 50223, 2800, 1240, 4, 160, 12, 783, 11407, 5, 1368, 9, 25, 10182, 4, 55, 29897, 1672, 928, 28, 50223, 4767, 4753, 13593, 6401, 3473, 7509, 453, 26814, 436, 6, 14735, 6126, 6, 18014, 50223, 702, 7509, 453, 11793, 5, 50223, 612, 5, 3206, 7956, 165, 3199, 5914, 9798, 7011, 4, 65, 2, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24766, 177, 6, 3488, 22983, 1572, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 10, 10260, 18715, 8, 6811, 188, 12, 19559, 4, 39, 29897, 1672, 38887, 19, 50223, 23907, 118, 2236, 1329, 8, 6811, 12, 7509, 391, 5, 50223, 328, 50223, 196, 5, 3206, 7956, 165, 37, 10, 10260, 17998, 11668, 534, 33, 59, 637, 18, 108, 96, 31916, 4591, 6165, 5, 50223, 259, 5, 3206, 7956, 165, 10, 2933, 8764, 534, 4, 3357, 4675, 6, 2968, 1374, 3862, 50223, 71, 3862, 40194, 731, 12368, 4, 349, 10895, 10, 3938, 12, 48126, 4104, 5, 50223, 48028, 17, 15401, 18512, 4104, 4, 12875, 5352, 6, 1733, 18264, 50223, 3786, 370, 5111, 5, 50223, 328, 5, 3206, 7956, 165, 10, 2933, 38, 10244, 483, 1692, 29333, 4, 41, 9, 8, 2784, 38799, 50223, 147, 15497, 343, 5401, 1747, 8542, 7509, 391, 1258, 43, 1692, 5, 50223, 266, 5, 3206, 7956, 165, 10, 2933, 3334, 18703, 20375, 8609, 8, 6811, 4, 9431, 9, 17, 39832, 50223, 293, 13599, 511, 4104, 6, 805, 1833, 2183, 12, 171, 3938, 4, 8, 2185, 9820, 673, 5, 50223, 444, 5, 1368, 9, 7509, 165, 47285, 506, 17, 7314, 73, 18703, 20375, 8609, 6, 39832, 14024, 4104, 4, 50223, 1153, 29897, 1672, 928, 25, 1146, 28, 17075, 6401, 3473, 7509, 453, 7, 50223, 56, 16599, 2183, 788, 6, 18014, 29, 458, 11793, 5, 50223, 497, 5, 3206, 7956, 165, 10, 2933, 12900, 110, 23252, 26169, 29897, 11890, 5289, 578, 50223, 143, 6305, 8, 6811, 4, 39, 55, 35075, 29897, 1672, 6, 17559, 43, 18703, 50245, 660, 50223, 100, 23696, 256, 23, 9238, 4, 95, 10873, 3991, 237, 3488, 4005, 5, 159, 265, 4, 13, 50223, 143, 5631, 1614, 38574, 4, 901, 175, 4, 13, 29897, 1672, 21093, 18703, 11512, 50223, 56, 32984, 9836, 4, 16069, 7, 11, 29897, 2875, 4, 94, 893, 24268, 496, 38574, 5, 50223, 528, 5, 3206, 7956, 165, 10, 2933, 6126, 26814, 436, 6, 14735, 4, 39, 8688, 8, 2784, 788, 50223, 2800, 1240, 4, 160, 12, 783, 11407, 5, 1368, 9, 25, 10182, 4, 55, 29897, 1672, 928, 28, 50223, 4767, 4753, 13593, 6401, 3473, 7509, 453, 26814, 436, 6, 14735, 6126, 6, 18014, 50223, 702, 7509, 453, 11793, 5, 50223, 612, 5, 3206, 7956, 165, 3199, 5914, 9798, 7011, 4, 65, 4424, 8697, 176, 2352, 8, 6811, 110, 50223, 4468, 956, 582, 29897, 2875, 4, 6, 11, 65, 7, 232, 2183, 5, 159, 16484, 265, 10, 7509, 165, 28, 50223, 1297, 5485, 34345, 4104, 2933, 8882, 534, 18, 8215, 2447, 7, 232, 2183, 5, 1368, 50223, 88, 1330, 282, 18, 8215, 2447, 37, 10, 434, 4, 7509, 165, 569, 928, 7, 5920, 50223, 9137, 4367, 449, 3947, 1223, 11864, 24545, 14108, 34345, 29298, 8479, 63, 5, 50223, 828, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 5914, 9798, 7011, 4104, 6, 517, 9989, 1458, 50223, 190, 6811, 188, 60, 20069, 7509, 453, 5, 8246, 4293, 375, 34050, 5221, 36, 15, 33974, 50223, 201, 16390, 137, 5, 1368, 29897, 1672, 5376, 642, 7011, 7, 9144, 16810, 9044, 50223, 38764, 1173, 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 ]
[ -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, 9, 8, 2784, 38799, 50223, 147, 15497, 343, 5401, 1747, 8542, 7509, 391, 1258, 43, 1692, 5, 50223, 266, 5, 3206, 7956, 165, 10, 2933, 3334, 18703, 20375, 8609, 8, 6811, 4, 9431, 9, 17, 39832, 50223, 293, 13599, 511, 4104, 6, 805, 1833, 2183, 12, 171, 3938, 4, 8, 2185, 9820, 673, 5, 50223, 444, 5, 1368, 9, 7509, 165, 47285, 506, 17, 7314, 73, 18703, 20375, 8609, 6, 39832, 14024, 4104, 4, 50223, 1153, 29897, 1672, 928, 25, 1146, 28, 17075, 6401, 3473, 7509, 453, 7, 50223, 56, 16599, 2183, 788, 6, 18014, 29, 458, 11793, 5, 50223, 497, 5, 3206, 7956, 165, 10, 2933, 12900, 110, 23252, 26169, 29897, 11890, 5289, 578, 50223, 143, 6305, 8, 6811, 4, 39, 55, 35075, 29897, 1672, 6, 17559, 43, 18703, 50245, 660, 50223, 100, 23696, 256, 23, 9238, 4, 95, 10873, 3991, 237, 3488, 4005, 5, 159, 265, 4, 13, 50223, 143, 5631, 1614, 38574, 4, 901, 175, 4, 13, 29897, 1672, 21093, 18703, 11512, 50223, 56, 32984, 9836, 4, 16069, 7, 11, 29897, 2875, 4, 94, 893, 24268, 496, 38574, 5, 50223, 528, 5, 3206, 7956, 165, 10, 2933, 6126, 26814, 436, 6, 14735, 4, 39, 8688, 8, 2784, 788, 50223, 2800, 1240, 4, 160, 12, 783, 11407, 5, 1368, 9, 25, 10182, 4, 55, 29897, 1672, 928, 28, 50223, 4767, 4753, 13593, 6401, 3473, 7509, 453, 26814, 436, 6, 14735, 6126, 6, 18014, 50223, 702, 7509, 453, 11793, 5, 50223, 612, 5, 3206, 7956, 165, 3199, 5914, 9798, 7011, 4, 65, 4424, 8697, 176, 2352, 8, 6811, 110, 50223, 4468, 956, 582, 29897, 2875, 4, 6, 11, 65, 7, 232, 2183, 5, 159, 16484, 265, 10, 7509, 165, 28, 50223, 1297, 5485, 34345, 4104, 2933, 8882, 534, 18, 8215, 2447, 7, 232, 2183, 5, 1368, 50223, 88, 1330, 282, 18, 8215, 2447, 37, 10, 434, 4, 7509, 165, 569, 928, 7, 5920, 50223, 9137, 4367, 449, 3947, 1223, 11864, 24545, 14108, 34345, 29298, 8479, 63, 5, 50223, 828, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 5914, 9798, 7011, 4104, 6, 517, 9989, 1458, 50223, 190, 6811, 188, 60, 20069, 7509, 453, 5, 8246, 4293, 375, 34050, 5221, 36, 15, 33974, 50223, 201, 16390, 137, 5, 1368, 29897, 1672, 5376, 642, 7011, 7, 9144, 16810, 9044, 50223, 38764, 1173, 4, 10, 7509, 165, 2933, 43, 18703, 17559, 50245, 660, 8495, 23, 50223, 2622, 428, 4, 95, 10873, 3991, 237, 3488, 4005, 5, 50223, 1164, 5, 3206, 7956, 165, 10, 2933, 17559, 29897, 11890, 33, 783, 7357, 1901, 31582, 50223, 190, 2136, 18, 4104, 23, 5198, 6820, 627, 8609, 4, 25728, 4, 29, 8194, 6, 4003, 23171, 50223, 2932, 68, 21562, 4, 11401, 8589, 6, 11385, 4003, 2447, 4104, 8, 8176, 161, 3331, 4, 19, 16, 50223, 290, 5198, 4003, 10513, 6, 3331, 18512, 4104, 7509, 391, 5, 50223, 1260, 5, 3206, 7956, 165, 10, 2933, 15575, 534, 8, 2372, 8688, 68, 7, 3862, 17936, 6, 28, 50223, 1297, 5485, 34345, 4104, 82, 1973, 150, 1680, 5, 207, 237, 1157, 4, 93, 31272, 2, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 43, 18703, 50245, 660, 50223, 100, 23696, 256, 23, 9238, 4, 95, 10873, 3991, 237, 3488, 4005, 5, 159, 265, 4, 13, 50223, 143, 5631, 1614, 38574, 4, 901, 175, 4, 13, 29897, 1672, 21093, 18703, 11512, 50223, 56, 32984, 9836, 4, 16069, 7, 11, 29897, 2875, 4, 94, 893, 24268, 496, 38574, 5, 50223, 528, 5, 3206, 7956, 165, 10, 2933, 6126, 26814, 436, 6, 14735, 4, 39, 8688, 8, 2784, 788, 50223, 2800, 1240, 4, 160, 12, 783, 11407, 5, 1368, 9, 25, 10182, 4, 55, 29897, 1672, 928, 28, 50223, 4767, 4753, 13593, 6401, 3473, 7509, 453, 26814, 436, 6, 14735, 6126, 6, 18014, 50223, 702, 7509, 453, 11793, 5, 50223, 612, 5, 3206, 7956, 165, 3199, 5914, 9798, 7011, 4, 65, 4424, 8697, 176, 2352, 8, 6811, 110, 50223, 4468, 956, 582, 29897, 2875, 4, 6, 11, 65, 7, 232, 2183, 5, 159, 16484, 265, 10, 7509, 165, 28, 50223, 1297, 5485, 34345, 4104, 2933, 8882, 534, 18, 8215, 2447, 7, 232, 2183, 5, 1368, 50223, 88, 1330, 282, 18, 8215, 2447, 37, 10, 434, 4, 7509, 165, 569, 928, 7, 5920, 50223, 9137, 4367, 449, 3947, 1223, 11864, 24545, 14108, 34345, 29298, 8479, 63, 5, 50223, 828, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 5914, 9798, 7011, 4104, 6, 517, 9989, 1458, 50223, 190, 6811, 188, 60, 20069, 7509, 453, 5, 8246, 4293, 375, 34050, 5221, 36, 15, 33974, 50223, 201, 16390, 137, 5, 1368, 29897, 1672, 5376, 642, 7011, 7, 9144, 16810, 9044, 50223, 38764, 1173, 4, 10, 7509, 165, 2933, 43, 18703, 17559, 50245, 660, 8495, 23, 50223, 2622, 428, 4, 95, 10873, 3991, 237, 3488, 4005, 5, 50223, 1164, 5, 3206, 7956, 165, 10, 2933, 17559, 29897, 11890, 33, 783, 7357, 1901, 31582, 50223, 190, 2136, 18, 4104, 23, 5198, 6820, 627, 8609, 4, 25728, 4, 29, 8194, 6, 4003, 23171, 50223, 2932, 68, 21562, 4, 11401, 8589, 6, 11385, 4003, 2447, 4104, 8, 8176, 161, 3331, 4, 19, 16, 50223, 290, 5198, 4003, 10513, 6, 3331, 18512, 4104, 7509, 391, 5, 50223, 1260, 5, 3206, 7956, 165, 10, 2933, 15575, 534, 8, 2372, 8688, 68, 7, 3862, 17936, 6, 28, 50223, 1297, 5485, 34345, 4104, 82, 1973, 150, 1680, 5, 207, 237, 1157, 4, 93, 31272, 30, 2582, 17370, 50223, 1865, 361, 3172, 996, 7509, 116, 1157, 82, 1973, 150, 1680, 5, 119, 4, 534, 14040, 3149, 6, 28793, 14222, 50223, 702, 46602, 3178, 29897, 11890, 60, 1392, 31682, 6, 39050, 17463, 18, 236, 50223, 201, 172, 8, 18512, 8740, 161, 2372, 4, 12, 46823, 7, 45595, 15595, 282, 5, 50223, 2247, 5, 159, 265, 4, 13, 18, 28013, 3101, 2193, 34345, 16399, 8, 1973, 150, 1680, 5, 107, 237, 1157, 50223, 3678, 48399, 30, 2582, 17370, 7320, 996, 7509, 116, 1157, 6, 7509, 165, 534, 1834, 50223, 26450, 4, 10, 7509, 165, 2933, 7920, 36183, 201, 4380, 29897, 11890, 19478, 23, 17936, 50223, 42342, 110, 10675, 1924, 45, 1493, 11201, 3563, 3643, 218, 7509, 881, 50223, 71, 45541, 90, 23, 791, 4, 5617, 18, 727, 5, 864, 16810, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2352, 8, 6811, 110, 50223, 4468, 956, 582, 29897, 2875, 4, 6, 11, 65, 7, 232, 2183, 5, 159, 16484, 265, 10, 7509, 165, 28, 50223, 1297, 5485, 34345, 4104, 2933, 8882, 534, 18, 8215, 2447, 7, 232, 2183, 5, 1368, 50223, 88, 1330, 282, 18, 8215, 2447, 37, 10, 434, 4, 7509, 165, 569, 928, 7, 5920, 50223, 9137, 4367, 449, 3947, 1223, 11864, 24545, 14108, 34345, 29298, 8479, 63, 5, 50223, 828, 5, 225, 1402, 654, 13164, 1672, 10, 10260, 5914, 9798, 7011, 4104, 6, 517, 9989, 1458, 50223, 190, 6811, 188, 60, 20069, 7509, 453, 5, 8246, 4293, 375, 34050, 5221, 36, 15, 33974, 50223, 201, 16390, 137, 5, 1368, 29897, 1672, 5376, 642, 7011, 7, 9144, 16810, 9044, 50223, 38764, 1173, 4, 10, 7509, 165, 2933, 43, 18703, 17559, 50245, 660, 8495, 23, 50223, 2622, 428, 4, 95, 10873, 3991, 237, 3488, 4005, 5, 50223, 1164, 5, 3206, 7956, 165, 10, 2933, 17559, 29897, 11890, 33, 783, 7357, 1901, 31582, 50223, 190, 2136, 18, 4104, 23, 5198, 6820, 627, 8609, 4, 25728, 4, 29, 8194, 6, 4003, 23171, 50223, 2932, 68, 21562, 4, 11401, 8589, 6, 11385, 4003, 2447, 4104, 8, 8176, 161, 3331, 4, 19, 16, 50223, 290, 5198, 4003, 10513, 6, 3331, 18512, 4104, 7509, 391, 5, 50223, 1260, 5, 3206, 7956, 165, 10, 2933, 15575, 534, 8, 2372, 8688, 68, 7, 3862, 17936, 6, 28, 50223, 1297, 5485, 34345, 4104, 82, 1973, 150, 1680, 5, 207, 237, 1157, 4, 93, 31272, 30, 2582, 17370, 50223, 1865, 361, 3172, 996, 7509, 116, 1157, 82, 1973, 150, 1680, 5, 119, 4, 534, 14040, 3149, 6, 28793, 14222, 50223, 702, 46602, 3178, 29897, 11890, 60, 1392, 31682, 6, 39050, 17463, 18, 236, 50223, 201, 172, 8, 18512, 8740, 161, 2372, 4, 12, 46823, 7, 45595, 15595, 282, 5, 50223, 2247, 5, 159, 265, 4, 13, 18, 28013, 3101, 2193, 34345, 16399, 8, 1973, 150, 1680, 5, 107, 237, 1157, 50223, 3678, 48399, 30, 2582, 17370, 7320, 996, 7509, 116, 1157, 6, 7509, 165, 534, 1834, 50223, 26450, 4, 10, 7509, 165, 2933, 7920, 36183, 201, 4380, 29897, 11890, 19478, 23, 17936, 50223, 42342, 110, 10675, 1924, 45, 1493, 11201, 3563, 3643, 218, 7509, 881, 50223, 71, 45541, 90, 23, 791, 4, 5617, 18, 727, 5, 864, 16810, 26867, 4855, 4, 6, 11, 50223, 10440, 18, 59, 28793, 26633, 10413, 627, 29897, 11890, 5, 50223, 2458, 5, 14689, 774, 681, 17431, 53, 4, 376, 7509, 165, 27414, 214, 29897, 11890, 67, 24354, 237, 50223, 100, 32445, 465, 4, 4503, 7, 5571, 41562, 5551, 11892, 7509, 168, 4, 635, 4082, 23, 791, 50223, 71, 39830, 15845, 8084, 9274, 4104, 913, 29640, 13153, 12, 20452, 4, 39, 55, 23, 50223, 96, 25053, 7455, 60, 1939, 7291, 636, 15611, 1182, 50189, 7242, 243, 4, 40066, 10545, 50191, 4, 808, 50223, 266, 50223, 22101, 774, 681, 17431, 53, 9, 18863, 94, 28, 24714, 34345, 5, 1962, 2201, 481, 17, 5523, 50223, 1297, 17431, 189, 6, 102, 9508, 423, 28, 24714, 34345, 4, 93, 9, 42471, 172, 1246, 82, 50223, 4767, 4753, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2933, 43, 18703, 17559, 50245, 660, 8495, 23, 50223, 2622, 428, 4, 95, 10873, 3991, 237, 3488, 4005, 5, 50223, 1164, 5, 3206, 7956, 165, 10, 2933, 17559, 29897, 11890, 33, 783, 7357, 1901, 31582, 50223, 190, 2136, 18, 4104, 23, 5198, 6820, 627, 8609, 4, 25728, 4, 29, 8194, 6, 4003, 23171, 50223, 2932, 68, 21562, 4, 11401, 8589, 6, 11385, 4003, 2447, 4104, 8, 8176, 161, 3331, 4, 19, 16, 50223, 290, 5198, 4003, 10513, 6, 3331, 18512, 4104, 7509, 391, 5, 50223, 1260, 5, 3206, 7956, 165, 10, 2933, 15575, 534, 8, 2372, 8688, 68, 7, 3862, 17936, 6, 28, 50223, 1297, 5485, 34345, 4104, 82, 1973, 150, 1680, 5, 207, 237, 1157, 4, 93, 31272, 30, 2582, 17370, 50223, 1865, 361, 3172, 996, 7509, 116, 1157, 82, 1973, 150, 1680, 5, 119, 4, 534, 14040, 3149, 6, 28793, 14222, 50223, 702, 46602, 3178, 29897, 11890, 60, 1392, 31682, 6, 39050, 17463, 18, 236, 50223, 201, 172, 8, 18512, 8740, 161, 2372, 4, 12, 46823, 7, 45595, 15595, 282, 5, 50223, 2247, 5, 159, 265, 4, 13, 18, 28013, 3101, 2193, 34345, 16399, 8, 1973, 150, 1680, 5, 107, 237, 1157, 50223, 3678, 48399, 30, 2582, 17370, 7320, 996, 7509, 116, 1157, 6, 7509, 165, 534, 1834, 50223, 26450, 4, 10, 7509, 165, 2933, 7920, 36183, 201, 4380, 29897, 11890, 19478, 23, 17936, 50223, 42342, 110, 10675, 1924, 45, 1493, 11201, 3563, 3643, 218, 7509, 881, 50223, 71, 45541, 90, 23, 791, 4, 5617, 18, 727, 5, 864, 16810, 26867, 4855, 4, 6, 11, 50223, 10440, 18, 59, 28793, 26633, 10413, 627, 29897, 11890, 5, 50223, 2458, 5, 14689, 774, 681, 17431, 53, 4, 376, 7509, 165, 27414, 214, 29897, 11890, 67, 24354, 237, 50223, 100, 32445, 465, 4, 4503, 7, 5571, 41562, 5551, 11892, 7509, 168, 4, 635, 4082, 23, 791, 50223, 71, 39830, 15845, 8084, 9274, 4104, 913, 29640, 13153, 12, 20452, 4, 39, 55, 23, 50223, 96, 25053, 7455, 60, 1939, 7291, 636, 15611, 1182, 50189, 7242, 243, 4, 40066, 10545, 50191, 4, 808, 50223, 266, 50223, 22101, 774, 681, 17431, 53, 9, 18863, 94, 28, 24714, 34345, 5, 1962, 2201, 481, 17, 5523, 50223, 1297, 17431, 189, 6, 102, 9508, 423, 28, 24714, 34345, 4, 93, 9, 42471, 172, 1246, 82, 50223, 4767, 4753, 3563, 11711, 4, 18264, 24861, 5, 50223, 1635, 5, 1504, 24714, 34345, 5551, 11892, 7, 12691, 380, 569, 7509, 165, 928, 7, 4394, 293, 50223, 96, 19440, 5, 50223, 1046, 47864, 352, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 19678, 21162, 4, 39, 37, 31, 16832, 3507, 21737, 9, 11450, 41090, 28913, 50223, 1297, 1282, 1100, 5, 50223, 196, 5, 34124, 7306, 400, 13426, 7, 8564, 4, 13, 1712, 17, 3028, 2018, 9948, 10094, 4104, 4, 26, 17, 50223, 14930, 572, 29218, 7509, 116, 1157, 28, 23486, 2193, 34345, 82, 50223, 4767, 4753, 3563, 7509, 116, 1157, 7320, 940, 146, 29897, 4852, 6, 7509, 391, 5, 50223, 259, 5, 268, 19883, 3305, 10, 434, 5455, 6, 40758, 7, 713, 3291, 22983, 1572, 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 ]
[ -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, 1157, 82, 1973, 150, 1680, 5, 119, 4, 534, 14040, 3149, 6, 28793, 14222, 50223, 702, 46602, 3178, 29897, 11890, 60, 1392, 31682, 6, 39050, 17463, 18, 236, 50223, 201, 172, 8, 18512, 8740, 161, 2372, 4, 12, 46823, 7, 45595, 15595, 282, 5, 50223, 2247, 5, 159, 265, 4, 13, 18, 28013, 3101, 2193, 34345, 16399, 8, 1973, 150, 1680, 5, 107, 237, 1157, 50223, 3678, 48399, 30, 2582, 17370, 7320, 996, 7509, 116, 1157, 6, 7509, 165, 534, 1834, 50223, 26450, 4, 10, 7509, 165, 2933, 7920, 36183, 201, 4380, 29897, 11890, 19478, 23, 17936, 50223, 42342, 110, 10675, 1924, 45, 1493, 11201, 3563, 3643, 218, 7509, 881, 50223, 71, 45541, 90, 23, 791, 4, 5617, 18, 727, 5, 864, 16810, 26867, 4855, 4, 6, 11, 50223, 10440, 18, 59, 28793, 26633, 10413, 627, 29897, 11890, 5, 50223, 2458, 5, 14689, 774, 681, 17431, 53, 4, 376, 7509, 165, 27414, 214, 29897, 11890, 67, 24354, 237, 50223, 100, 32445, 465, 4, 4503, 7, 5571, 41562, 5551, 11892, 7509, 168, 4, 635, 4082, 23, 791, 50223, 71, 39830, 15845, 8084, 9274, 4104, 913, 29640, 13153, 12, 20452, 4, 39, 55, 23, 50223, 96, 25053, 7455, 60, 1939, 7291, 636, 15611, 1182, 50189, 7242, 243, 4, 40066, 10545, 50191, 4, 808, 50223, 266, 50223, 22101, 774, 681, 17431, 53, 9, 18863, 94, 28, 24714, 34345, 5, 1962, 2201, 481, 17, 5523, 50223, 1297, 17431, 189, 6, 102, 9508, 423, 28, 24714, 34345, 4, 93, 9, 42471, 172, 1246, 82, 50223, 4767, 4753, 3563, 11711, 4, 18264, 24861, 5, 50223, 1635, 5, 1504, 24714, 34345, 5551, 11892, 7, 12691, 380, 569, 7509, 165, 928, 7, 4394, 293, 50223, 96, 19440, 5, 50223, 1046, 47864, 352, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 19678, 21162, 4, 39, 37, 31, 16832, 3507, 21737, 9, 11450, 41090, 28913, 50223, 1297, 1282, 1100, 5, 50223, 196, 5, 34124, 7306, 400, 13426, 7, 8564, 4, 13, 1712, 17, 3028, 2018, 9948, 10094, 4104, 4, 26, 17, 50223, 14930, 572, 29218, 7509, 116, 1157, 28, 23486, 2193, 34345, 82, 50223, 4767, 4753, 3563, 7509, 116, 1157, 7320, 940, 146, 29897, 4852, 6, 7509, 391, 5, 50223, 259, 5, 268, 19883, 3305, 10, 434, 5455, 6, 40758, 7, 713, 3291, 22983, 1572, 6, 11, 45, 50223, 2650, 87, 8380, 163, 11175, 269, 30, 237, 8195, 5, 50223, 328, 5, 34124, 7306, 400, 14229, 407, 4, 13, 3305, 7320, 614, 14451, 6, 2029, 4, 629, 50223, 71, 13938, 5575, 4, 37, 8, 25744, 151, 4, 65, 23, 863, 6777, 9870, 43615, 2318, 4, 3831, 50223, 100, 32445, 465, 3862, 18577, 14476, 6, 7, 7961, 7663, 149, 37814, 1473, 5114, 407, 5, 50223, 266, 5, 12256, 5885, 10, 8868, 406, 8, 1020, 2557, 2186, 553, 4, 15, 349, 260, 2022, 7509, 165, 50223, 71, 484, 29897, 1672, 5, 50223, 444, 5, 12256, 5885, 26545, 15372, 7671, 102, 28095, 16851, 462, 14643, 6, 8618, 50223, 201, 9223, 16774, 3398, 28, 1090, 102, 17860, 8, 18066, 6738, 161, 16590, 9577, 5, 50223, 32, 30889, 2636, 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, 18, 59, 28793, 26633, 10413, 627, 29897, 11890, 5, 50223, 2458, 5, 14689, 774, 681, 17431, 53, 4, 376, 7509, 165, 27414, 214, 29897, 11890, 67, 24354, 237, 50223, 100, 32445, 465, 4, 4503, 7, 5571, 41562, 5551, 11892, 7509, 168, 4, 635, 4082, 23, 791, 50223, 71, 39830, 15845, 8084, 9274, 4104, 913, 29640, 13153, 12, 20452, 4, 39, 55, 23, 50223, 96, 25053, 7455, 60, 1939, 7291, 636, 15611, 1182, 50189, 7242, 243, 4, 40066, 10545, 50191, 4, 808, 50223, 266, 50223, 22101, 774, 681, 17431, 53, 9, 18863, 94, 28, 24714, 34345, 5, 1962, 2201, 481, 17, 5523, 50223, 1297, 17431, 189, 6, 102, 9508, 423, 28, 24714, 34345, 4, 93, 9, 42471, 172, 1246, 82, 50223, 4767, 4753, 3563, 11711, 4, 18264, 24861, 5, 50223, 1635, 5, 1504, 24714, 34345, 5551, 11892, 7, 12691, 380, 569, 7509, 165, 928, 7, 4394, 293, 50223, 96, 19440, 5, 50223, 1046, 47864, 352, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 19678, 21162, 4, 39, 37, 31, 16832, 3507, 21737, 9, 11450, 41090, 28913, 50223, 1297, 1282, 1100, 5, 50223, 196, 5, 34124, 7306, 400, 13426, 7, 8564, 4, 13, 1712, 17, 3028, 2018, 9948, 10094, 4104, 4, 26, 17, 50223, 14930, 572, 29218, 7509, 116, 1157, 28, 23486, 2193, 34345, 82, 50223, 4767, 4753, 3563, 7509, 116, 1157, 7320, 940, 146, 29897, 4852, 6, 7509, 391, 5, 50223, 259, 5, 268, 19883, 3305, 10, 434, 5455, 6, 40758, 7, 713, 3291, 22983, 1572, 6, 11, 45, 50223, 2650, 87, 8380, 163, 11175, 269, 30, 237, 8195, 5, 50223, 328, 5, 34124, 7306, 400, 14229, 407, 4, 13, 3305, 7320, 614, 14451, 6, 2029, 4, 629, 50223, 71, 13938, 5575, 4, 37, 8, 25744, 151, 4, 65, 23, 863, 6777, 9870, 43615, 2318, 4, 3831, 50223, 100, 32445, 465, 3862, 18577, 14476, 6, 7, 7961, 7663, 149, 37814, 1473, 5114, 407, 5, 50223, 266, 5, 12256, 5885, 10, 8868, 406, 8, 1020, 2557, 2186, 553, 4, 15, 349, 260, 2022, 7509, 165, 50223, 71, 484, 29897, 1672, 5, 50223, 444, 5, 12256, 5885, 26545, 15372, 7671, 102, 28095, 16851, 462, 14643, 6, 8618, 50223, 201, 9223, 16774, 3398, 28, 1090, 102, 17860, 8, 18066, 6738, 161, 16590, 9577, 5, 50223, 32, 30889, 2636, 4, 864, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 159, 30889, 2636, 4, 864, 5, 5, 5, 5, 5, 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, 1514, 7956, 165, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ -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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 1504, 24714, 34345, 5551, 11892, 7, 12691, 380, 569, 7509, 165, 928, 7, 4394, 293, 50223, 96, 19440, 5, 50223, 1046, 47864, 352, 1182, 50223, 2347, 8947, 466, 9661, 1182, 1182, 50223, 253, 5, 19678, 21162, 4, 39, 37, 31, 16832, 3507, 21737, 9, 11450, 41090, 28913, 50223, 1297, 1282, 1100, 5, 50223, 196, 5, 34124, 7306, 400, 13426, 7, 8564, 4, 13, 1712, 17, 3028, 2018, 9948, 10094, 4104, 4, 26, 17, 50223, 14930, 572, 29218, 7509, 116, 1157, 28, 23486, 2193, 34345, 82, 50223, 4767, 4753, 3563, 7509, 116, 1157, 7320, 940, 146, 29897, 4852, 6, 7509, 391, 5, 50223, 259, 5, 268, 19883, 3305, 10, 434, 5455, 6, 40758, 7, 713, 3291, 22983, 1572, 6, 11, 45, 50223, 2650, 87, 8380, 163, 11175, 269, 30, 237, 8195, 5, 50223, 328, 5, 34124, 7306, 400, 14229, 407, 4, 13, 3305, 7320, 614, 14451, 6, 2029, 4, 629, 50223, 71, 13938, 5575, 4, 37, 8, 25744, 151, 4, 65, 23, 863, 6777, 9870, 43615, 2318, 4, 3831, 50223, 100, 32445, 465, 3862, 18577, 14476, 6, 7, 7961, 7663, 149, 37814, 1473, 5114, 407, 5, 50223, 266, 5, 12256, 5885, 10, 8868, 406, 8, 1020, 2557, 2186, 553, 4, 15, 349, 260, 2022, 7509, 165, 50223, 71, 484, 29897, 1672, 5, 50223, 444, 5, 12256, 5885, 26545, 15372, 7671, 102, 28095, 16851, 462, 14643, 6, 8618, 50223, 201, 9223, 16774, 3398, 28, 1090, 102, 17860, 8, 18066, 6738, 161, 16590, 9577, 5, 50223, 32, 30889, 2636, 4, 864, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 159, 30889, 2636, 4, 864, 5, 5, 5, 5, 5, 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, 1514, 7956, 165, 50244, 225, 1402, 654, 13164, 1672, 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, 5, 5, 50223, 14870, 26176, 9845, 2380, 5868, 1812, 50223, 1600, 22483, 607, 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, 50223, 32560, 26176, 9845, 153, 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 ]
[ -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, 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, 3, 4, 4, 4, 0, -100, -100, -100 ]
[ 0, 30, 237, 8195, 5, 50223, 328, 5, 34124, 7306, 400, 14229, 407, 4, 13, 3305, 7320, 614, 14451, 6, 2029, 4, 629, 50223, 71, 13938, 5575, 4, 37, 8, 25744, 151, 4, 65, 23, 863, 6777, 9870, 43615, 2318, 4, 3831, 50223, 100, 32445, 465, 3862, 18577, 14476, 6, 7, 7961, 7663, 149, 37814, 1473, 5114, 407, 5, 50223, 266, 5, 12256, 5885, 10, 8868, 406, 8, 1020, 2557, 2186, 553, 4, 15, 349, 260, 2022, 7509, 165, 50223, 71, 484, 29897, 1672, 5, 50223, 444, 5, 12256, 5885, 26545, 15372, 7671, 102, 28095, 16851, 462, 14643, 6, 8618, 50223, 201, 9223, 16774, 3398, 28, 1090, 102, 17860, 8, 18066, 6738, 161, 16590, 9577, 5, 50223, 32, 30889, 2636, 4, 864, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 159, 30889, 2636, 4, 864, 5, 5, 5, 5, 5, 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, 1514, 7956, 165, 50244, 225, 1402, 654, 13164, 1672, 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, 5, 5, 50223, 14870, 26176, 9845, 2380, 5868, 1812, 50223, 1600, 22483, 607, 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, 50223, 32560, 26176, 9845, 153, 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 ]
[ -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, 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, 3, 4, 4, 4, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 159, 30889, 2636, 4, 864, 5, 5, 5, 5, 5, 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, 1514, 7956, 165, 50244, 225, 1402, 654, 13164, 1672, 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, 5, 5, 50223, 14870, 26176, 9845, 2380, 5868, 1812, 50223, 1600, 22483, 607, 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, 50223, 32560, 26176, 9845, 153, 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 ]
[ -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, 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, 3, 4, 4, 4, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 2380, 5868, 1812, 50223, 1600, 22483, 607, 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, 50223, 32560, 26176, 9845, 153, 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 ]
[ -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, 3, 4, 4, 4, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 3206, 7956, 96, 5885, 508, 5, 19068, 50209, 1508, 2659, 1182, 50223, 29283, 82, 1182, 23077, 24504, 6653, 259, 6, 856, 158, 5, 28913, 19088, 508, 5, 857, 50209, 1250, 5307, 10833, 5, 8, 39695, 4083, 1182, 50223, 1046, 47864, 186, 5, 1182, 50223, 34124, 7306, 400, 1182, 1182, 50223, 107, 5, 253, 1182, 1182, 8286, 31718, 1182, 1182, 50223, 1965, 3288, 1182, 50244, 459, 18874, 10637, 4082, 325, 508, 5, 107, 4, 31718, 50223, 6078, 194, 4386, 135, 6779, 1182, 50244, 39289, 5, 20797, 1225, 225, 6538, 4805, 4, 7014, 308, 25235, 31718, 50223, 2698, 1034, 5668, 1182, 50244, 33978, 3566, 558, 4, 6, 5, 56, 551, 38235, 31718, 4, 508, 5, 293, 5, 4665, 40124, 23168, 253, 50209, 14018, 668, 50223, 27418, 2477, 1182, 50244, 3218, 4558, 6026, 668, 2985, 668, 2985, 2341, 16935, 668, 3269, 253, 50223, 272, 24069, 1182, 50244, 2985, 259, 2342, 2267, 253, 50223, 182, 15563, 1182, 50244, 292, 196, 1260, 6799, 1635, 196, 50223, 50189, 32092, 36, 1182, 48870, 25177, 147, 1402, 654, 13164, 1672, 48870, 19594, 4, 33, 1182, 48870, 25177, 100, 32445, 7306, 400, 48870, 19594, 50191, 50223, 290, 13431, 86, 2039, 9362, 45, 5783, 22983, 1182, 50244, 5176, 5, 11675, 8983, 520, 1182, 50189, 1330, 293, 165, 8149, 50223, 20490, 23256, 6, 2856, 607, 50191, 50223, 290, 13431, 86, 2039, 34461, 14644, 237, 1157, 1182, 50244, 11680, 5, 130, 16370, 3184, 136, 43018, 1182, 50189, 702, 32871, 4134, 50223, 71, 2856, 607, 50191, 50223, 107, 5, 196, 999, 27982, 445, 1292, 38277, 1182, 1182, 50223, 290, 15198, 816, 8, 1538, 6538, 1163, 18947, 16590, 1200, 2188, 21251, 221, 15233, 31718, 4, 7825, 5, 234, 5, 2341, 444, 27, 497, 8065, 444, 50223, 18166, 8172, 1182, 50244, 539, 7722, 1961, 38871, 3418, 1512, 429, 50223, 272, 24069, 1182, 50244, 3726, 30498, 21883, 50223, 50189, 32092, 36, 1182, 48870, 25177, 96, 7956, 165, 48870, 19594, 4, 33, 1182, 48870, 25177, 100, 32445, 7306, 400, 48870, 19594, 50191, 50223, 1046, 47864, 2038, 5, 1182, 50223, 4458, 6666, 1157, 1182, 50223, 119, 5, 253, 1182, 4458, 87, 455, 1157, 10, 7509, 6967, 4, 5304, 4, 2954, 1182, 50244, 50223, 23711, 826, 24655, 28204, 474, 508, 5, 2621, 13227, 50209, 253, 17, 20216, 704, 413, 196, 4, 32041, 38975, 7, 44748, 508, 5, 5184, 2458, 4, 21251, 50244, 31718, 4, 15650, 50244, 31718, 4, 50223, 1979, 109, 29203, 52, 4925, 50244, 31718, 5, 50223, 119, 5, 196, 1182, 225, 1402, 654, 8789, 9552, 10, 14702, 1473, 8087, 3977, 7, 2295, 1425, 875, 20987, 20944, 116, 9769, 4, 95, 3923, 998, 17280, 237, 50223, 100, 32445, 465, 5, 50223, 1046, 47864, 7085, 5, 1182, 50223, 1584, 21854, 34345, 1182, 50223, 150, 5, 253, 1182, 529, 249, 8061, 82, 1973, 2038, 5, 237, 1157, 10, 7632, 1316, 7, 7860, 46563, 4574, 4, 1289, 168, 50223, 217, 44172, 5, 1182, 1182, 50223, 1046, 47864, 10903, 5, 1182, 50223, 4280, 71, 34345, 1182, 50223, 207, 5, 253, 1182, 12256, 5885, 9, 11708, 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 ]
[ -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, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 19, 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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 1182, 50244, 3218, 4558, 6026, 668, 2985, 668, 2985, 2341, 16935, 668, 3269, 253, 50223, 272, 24069, 1182, 50244, 2985, 259, 2342, 2267, 253, 50223, 182, 15563, 1182, 50244, 292, 196, 1260, 6799, 1635, 196, 50223, 50189, 32092, 36, 1182, 48870, 25177, 147, 1402, 654, 13164, 1672, 48870, 19594, 4, 33, 1182, 48870, 25177, 100, 32445, 7306, 400, 48870, 19594, 50191, 50223, 290, 13431, 86, 2039, 9362, 45, 5783, 22983, 1182, 50244, 5176, 5, 11675, 8983, 520, 1182, 50189, 1330, 293, 165, 8149, 50223, 20490, 23256, 6, 2856, 607, 50191, 50223, 290, 13431, 86, 2039, 34461, 14644, 237, 1157, 1182, 50244, 11680, 5, 130, 16370, 3184, 136, 43018, 1182, 50189, 702, 32871, 4134, 50223, 71, 2856, 607, 50191, 50223, 107, 5, 196, 999, 27982, 445, 1292, 38277, 1182, 1182, 50223, 290, 15198, 816, 8, 1538, 6538, 1163, 18947, 16590, 1200, 2188, 21251, 221, 15233, 31718, 4, 7825, 5, 234, 5, 2341, 444, 27, 497, 8065, 444, 50223, 18166, 8172, 1182, 50244, 539, 7722, 1961, 38871, 3418, 1512, 429, 50223, 272, 24069, 1182, 50244, 3726, 30498, 21883, 50223, 50189, 32092, 36, 1182, 48870, 25177, 96, 7956, 165, 48870, 19594, 4, 33, 1182, 48870, 25177, 100, 32445, 7306, 400, 48870, 19594, 50191, 50223, 1046, 47864, 2038, 5, 1182, 50223, 4458, 6666, 1157, 1182, 50223, 119, 5, 253, 1182, 4458, 87, 455, 1157, 10, 7509, 6967, 4, 5304, 4, 2954, 1182, 50244, 50223, 23711, 826, 24655, 28204, 474, 508, 5, 2621, 13227, 50209, 253, 17, 20216, 704, 413, 196, 4, 32041, 38975, 7, 44748, 508, 5, 5184, 2458, 4, 21251, 50244, 31718, 4, 15650, 50244, 31718, 4, 50223, 1979, 109, 29203, 52, 4925, 50244, 31718, 5, 50223, 119, 5, 196, 1182, 225, 1402, 654, 8789, 9552, 10, 14702, 1473, 8087, 3977, 7, 2295, 1425, 875, 20987, 20944, 116, 9769, 4, 95, 3923, 998, 17280, 237, 50223, 100, 32445, 465, 5, 50223, 1046, 47864, 7085, 5, 1182, 50223, 1584, 21854, 34345, 1182, 50223, 150, 5, 253, 1182, 529, 249, 8061, 82, 1973, 2038, 5, 237, 1157, 10, 7632, 1316, 7, 7860, 46563, 4574, 4, 1289, 168, 50223, 217, 44172, 5, 1182, 1182, 50223, 1046, 47864, 10903, 5, 1182, 50223, 4280, 71, 34345, 1182, 50223, 207, 5, 253, 1182, 12256, 5885, 9, 11708, 7, 1785, 13907, 12, 30242, 29, 3317, 5, 9192, 5, 1508, 2659, 18, 1270, 5, 10582, 5, 1508, 4064, 5, 50223, 1046, 47864, 159, 5, 1182, 50223, 3023, 1363, 7509, 168, 6, 1112, 25272, 1182, 50223, 229, 5, 253, 1182, 3206, 7956, 73, 10, 26634, 3189, 25235, 31718, 6, 10, 15768, 22376, 22983, 1572, 8, 2332, 12, 50223, 5012, 462, 2347, 3534, 1899, 26686, 12, 17990, 25235, 31718, 45, 1493, 3726, 4, 5275, 1182, 49607, 14238, 27272, 50209, 105, 196, 50209, 2320, 5, 1799, 540, 7509, 50223, 4767, 2421, 154, 5104, 1182, 107, 5, 1250, 266, 4, 14761, 1182, 49607, 14238, 27272, 1182, 1182, 50189, 14018, 4, 20021, 1182, 49607, 14238, 27272, 1067, 704, 413, 196, 1182, 50191, 5, 50223, 229, 5, 196, 1182, 3206, 7956, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 19, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 14, 14, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 0, 0, 0, 13, 14, 14, 14, 14, 14, 14, 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, 1182, 1182, 50223, 290, 15198, 816, 8, 1538, 6538, 1163, 18947, 16590, 1200, 2188, 21251, 221, 15233, 31718, 4, 7825, 5, 234, 5, 2341, 444, 27, 497, 8065, 444, 50223, 18166, 8172, 1182, 50244, 539, 7722, 1961, 38871, 3418, 1512, 429, 50223, 272, 24069, 1182, 50244, 3726, 30498, 21883, 50223, 50189, 32092, 36, 1182, 48870, 25177, 96, 7956, 165, 48870, 19594, 4, 33, 1182, 48870, 25177, 100, 32445, 7306, 400, 48870, 19594, 50191, 50223, 1046, 47864, 2038, 5, 1182, 50223, 4458, 6666, 1157, 1182, 50223, 119, 5, 253, 1182, 4458, 87, 455, 1157, 10, 7509, 6967, 4, 5304, 4, 2954, 1182, 50244, 50223, 23711, 826, 24655, 28204, 474, 508, 5, 2621, 13227, 50209, 253, 17, 20216, 704, 413, 196, 4, 32041, 38975, 7, 44748, 508, 5, 5184, 2458, 4, 21251, 50244, 31718, 4, 15650, 50244, 31718, 4, 50223, 1979, 109, 29203, 52, 4925, 50244, 31718, 5, 50223, 119, 5, 196, 1182, 225, 1402, 654, 8789, 9552, 10, 14702, 1473, 8087, 3977, 7, 2295, 1425, 875, 20987, 20944, 116, 9769, 4, 95, 3923, 998, 17280, 237, 50223, 100, 32445, 465, 5, 50223, 1046, 47864, 7085, 5, 1182, 50223, 1584, 21854, 34345, 1182, 50223, 150, 5, 253, 1182, 529, 249, 8061, 82, 1973, 2038, 5, 237, 1157, 10, 7632, 1316, 7, 7860, 46563, 4574, 4, 1289, 168, 50223, 217, 44172, 5, 1182, 1182, 50223, 1046, 47864, 10903, 5, 1182, 50223, 4280, 71, 34345, 1182, 50223, 207, 5, 253, 1182, 12256, 5885, 9, 11708, 7, 1785, 13907, 12, 30242, 29, 3317, 5, 9192, 5, 1508, 2659, 18, 1270, 5, 10582, 5, 1508, 4064, 5, 50223, 1046, 47864, 159, 5, 1182, 50223, 3023, 1363, 7509, 168, 6, 1112, 25272, 1182, 50223, 229, 5, 253, 1182, 3206, 7956, 73, 10, 26634, 3189, 25235, 31718, 6, 10, 15768, 22376, 22983, 1572, 8, 2332, 12, 50223, 5012, 462, 2347, 3534, 1899, 26686, 12, 17990, 25235, 31718, 45, 1493, 3726, 4, 5275, 1182, 49607, 14238, 27272, 50209, 105, 196, 50209, 2320, 5, 1799, 540, 7509, 50223, 4767, 2421, 154, 5104, 1182, 107, 5, 1250, 266, 4, 14761, 1182, 49607, 14238, 27272, 1182, 1182, 50189, 14018, 4, 20021, 1182, 49607, 14238, 27272, 1067, 704, 413, 196, 1182, 50191, 5, 50223, 229, 5, 196, 1182, 3206, 7956, 165, 9, 20913, 36183, 201, 4380, 34543, 7920, 4, 377, 18, 387, 5, 201, 692, 4855, 4, 23, 47, 9, 34543, 50223, 12573, 110, 45978, 52, 4, 7, 3717, 29897, 2875, 9128, 8, 11984, 107, 5, 253, 237, 1157, 12, 7741, 12280, 3069, 168, 50223, 28039, 707, 271, 4, 20236, 50244, 1182, 581, 5125, 3410, 1260, 44, 1516, 299, 774, 9284, 1369, 2035, 107, 50209, 1260, 27, 1131, 19820, 20821, 34345, 5, 50223, 229, 5, 259, 1182, 3206, 7956, 73, 9, 2630, 23, 27414, 287, 7671, 38, 15198, 627, 25272, 7, 3717, 29897, 2875, 5, 50223, 229, 5, 328, 1182, 34124, 7306, 400, 9, 6387, 4, 13, 6594, 7509, 168, 6579, 164, 8, 265, 1458, 11044, 29897, 2875, 4, 50223, 11915, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 14, 14, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 0, 0, 0, 13, 14, 14, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5184, 2458, 4, 21251, 50244, 31718, 4, 15650, 50244, 31718, 4, 50223, 1979, 109, 29203, 52, 4925, 50244, 31718, 5, 50223, 119, 5, 196, 1182, 225, 1402, 654, 8789, 9552, 10, 14702, 1473, 8087, 3977, 7, 2295, 1425, 875, 20987, 20944, 116, 9769, 4, 95, 3923, 998, 17280, 237, 50223, 100, 32445, 465, 5, 50223, 1046, 47864, 7085, 5, 1182, 50223, 1584, 21854, 34345, 1182, 50223, 150, 5, 253, 1182, 529, 249, 8061, 82, 1973, 2038, 5, 237, 1157, 10, 7632, 1316, 7, 7860, 46563, 4574, 4, 1289, 168, 50223, 217, 44172, 5, 1182, 1182, 50223, 1046, 47864, 10903, 5, 1182, 50223, 4280, 71, 34345, 1182, 50223, 207, 5, 253, 1182, 12256, 5885, 9, 11708, 7, 1785, 13907, 12, 30242, 29, 3317, 5, 9192, 5, 1508, 2659, 18, 1270, 5, 10582, 5, 1508, 4064, 5, 50223, 1046, 47864, 159, 5, 1182, 50223, 3023, 1363, 7509, 168, 6, 1112, 25272, 1182, 50223, 229, 5, 253, 1182, 3206, 7956, 73, 10, 26634, 3189, 25235, 31718, 6, 10, 15768, 22376, 22983, 1572, 8, 2332, 12, 50223, 5012, 462, 2347, 3534, 1899, 26686, 12, 17990, 25235, 31718, 45, 1493, 3726, 4, 5275, 1182, 49607, 14238, 27272, 50209, 105, 196, 50209, 2320, 5, 1799, 540, 7509, 50223, 4767, 2421, 154, 5104, 1182, 107, 5, 1250, 266, 4, 14761, 1182, 49607, 14238, 27272, 1182, 1182, 50189, 14018, 4, 20021, 1182, 49607, 14238, 27272, 1067, 704, 413, 196, 1182, 50191, 5, 50223, 229, 5, 196, 1182, 3206, 7956, 165, 9, 20913, 36183, 201, 4380, 34543, 7920, 4, 377, 18, 387, 5, 201, 692, 4855, 4, 23, 47, 9, 34543, 50223, 12573, 110, 45978, 52, 4, 7, 3717, 29897, 2875, 9128, 8, 11984, 107, 5, 253, 237, 1157, 12, 7741, 12280, 3069, 168, 50223, 28039, 707, 271, 4, 20236, 50244, 1182, 581, 5125, 3410, 1260, 44, 1516, 299, 774, 9284, 1369, 2035, 107, 50209, 1260, 27, 1131, 19820, 20821, 34345, 5, 50223, 229, 5, 259, 1182, 3206, 7956, 73, 9, 2630, 23, 27414, 287, 7671, 38, 15198, 627, 25272, 7, 3717, 29897, 2875, 5, 50223, 229, 5, 328, 1182, 34124, 7306, 400, 9, 6387, 4, 13, 6594, 7509, 168, 6579, 164, 8, 265, 1458, 11044, 29897, 2875, 4, 50223, 11915, 32575, 1212, 15058, 627, 12, 17990, 25235, 31718, 6, 858, 14523, 2225, 5, 50223, 229, 5, 266, 1182, 1368, 7509, 165, 32414, 2352, 4139, 7509, 168, 15, 1924, 13709, 8, 17075, 11984, 4, 55, 50223, 147, 1402, 654, 13164, 1672, 928, 12274, 29, 237, 1157, 5, 50223, 229, 5, 444, 1182, 225, 1402, 654, 13164, 1672, 6, 7509, 165, 9, 6387, 4, 13, 8, 265, 9472, 794, 25272, 1907, 24922, 28, 9124, 50223, 56, 5012, 481, 29897, 1672, 48, 9293, 23, 18084, 30605, 377, 844, 13739, 1621, 31451, 4370, 5, 50223, 1046, 47864, 15776, 5, 1182, 50223, 5719, 22185, 34022, 34345, 1182, 50223, 352, 5, 253, 1182, 3206, 7956, 38917, 1182, 50244, 50223, 71, 50209, 46622, 2193, 34345, 82, 9982, 5, 10903, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 14, 14, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 0, 0, 0, 13, 14, 14, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0, 18, 1270, 5, 10582, 5, 1508, 4064, 5, 50223, 1046, 47864, 159, 5, 1182, 50223, 3023, 1363, 7509, 168, 6, 1112, 25272, 1182, 50223, 229, 5, 253, 1182, 3206, 7956, 73, 10, 26634, 3189, 25235, 31718, 6, 10, 15768, 22376, 22983, 1572, 8, 2332, 12, 50223, 5012, 462, 2347, 3534, 1899, 26686, 12, 17990, 25235, 31718, 45, 1493, 3726, 4, 5275, 1182, 49607, 14238, 27272, 50209, 105, 196, 50209, 2320, 5, 1799, 540, 7509, 50223, 4767, 2421, 154, 5104, 1182, 107, 5, 1250, 266, 4, 14761, 1182, 49607, 14238, 27272, 1182, 1182, 50189, 14018, 4, 20021, 1182, 49607, 14238, 27272, 1067, 704, 413, 196, 1182, 50191, 5, 50223, 229, 5, 196, 1182, 3206, 7956, 165, 9, 20913, 36183, 201, 4380, 34543, 7920, 4, 377, 18, 387, 5, 201, 692, 4855, 4, 23, 47, 9, 34543, 50223, 12573, 110, 45978, 52, 4, 7, 3717, 29897, 2875, 9128, 8, 11984, 107, 5, 253, 237, 1157, 12, 7741, 12280, 3069, 168, 50223, 28039, 707, 271, 4, 20236, 50244, 1182, 581, 5125, 3410, 1260, 44, 1516, 299, 774, 9284, 1369, 2035, 107, 50209, 1260, 27, 1131, 19820, 20821, 34345, 5, 50223, 229, 5, 259, 1182, 3206, 7956, 73, 9, 2630, 23, 27414, 287, 7671, 38, 15198, 627, 25272, 7, 3717, 29897, 2875, 5, 50223, 229, 5, 328, 1182, 34124, 7306, 400, 9, 6387, 4, 13, 6594, 7509, 168, 6579, 164, 8, 265, 1458, 11044, 29897, 2875, 4, 50223, 11915, 32575, 1212, 15058, 627, 12, 17990, 25235, 31718, 6, 858, 14523, 2225, 5, 50223, 229, 5, 266, 1182, 1368, 7509, 165, 32414, 2352, 4139, 7509, 168, 15, 1924, 13709, 8, 17075, 11984, 4, 55, 50223, 147, 1402, 654, 13164, 1672, 928, 12274, 29, 237, 1157, 5, 50223, 229, 5, 444, 1182, 225, 1402, 654, 13164, 1672, 6, 7509, 165, 9, 6387, 4, 13, 8, 265, 9472, 794, 25272, 1907, 24922, 28, 9124, 50223, 56, 5012, 481, 29897, 1672, 48, 9293, 23, 18084, 30605, 377, 844, 13739, 1621, 31451, 4370, 5, 50223, 1046, 47864, 15776, 5, 1182, 50223, 5719, 22185, 34022, 34345, 1182, 50223, 352, 5, 253, 1182, 3206, 7956, 38917, 1182, 50244, 50223, 71, 50209, 46622, 2193, 34345, 82, 9982, 5, 10903, 5, 237, 1157, 50223, 211, 50209, 8380, 185, 22376, 22983, 1572, 5, 50223, 352, 5, 196, 1182, 225, 1402, 654, 13164, 1672, 141, 11850, 31827, 706, 7509, 176, 3305, 8, 265, 45708, 25272, 35, 83, 36, 50223, 4754, 116, 27323, 7509, 168, 4, 8380, 185, 14600, 252, 12, 13764, 2668, 17655, 185, 48812, 688, 4, 95, 1628, 39372, 50223, 35653, 524, 7671, 4855, 23835, 28, 42754, 21744, 5, 50223, 352, 5, 259, 1182, 225, 1402, 654, 13164, 1672, 141, 11850, 31827, 706, 7509, 176, 3305, 8, 265, 4, 93, 7509, 165, 48, 10686, 50223, 465, 17717, 731, 7, 517, 3181, 437, 1216, 31, 2747, 8, 11984, 150, 5, 253, 1973, 7085, 5, 237, 1157, 4, 8380, 185, 14600, 252, 12, 50223, 12433, 2668, 17655, 185, 48812, 688, 4, 95, 1628, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ -100, 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, 13, 14, 14, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 0, 0, 0, 13, 14, 14, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0, 377, 18, 387, 5, 201, 692, 4855, 4, 23, 47, 9, 34543, 50223, 12573, 110, 45978, 52, 4, 7, 3717, 29897, 2875, 9128, 8, 11984, 107, 5, 253, 237, 1157, 12, 7741, 12280, 3069, 168, 50223, 28039, 707, 271, 4, 20236, 50244, 1182, 581, 5125, 3410, 1260, 44, 1516, 299, 774, 9284, 1369, 2035, 107, 50209, 1260, 27, 1131, 19820, 20821, 34345, 5, 50223, 229, 5, 259, 1182, 3206, 7956, 73, 9, 2630, 23, 27414, 287, 7671, 38, 15198, 627, 25272, 7, 3717, 29897, 2875, 5, 50223, 229, 5, 328, 1182, 34124, 7306, 400, 9, 6387, 4, 13, 6594, 7509, 168, 6579, 164, 8, 265, 1458, 11044, 29897, 2875, 4, 50223, 11915, 32575, 1212, 15058, 627, 12, 17990, 25235, 31718, 6, 858, 14523, 2225, 5, 50223, 229, 5, 266, 1182, 1368, 7509, 165, 32414, 2352, 4139, 7509, 168, 15, 1924, 13709, 8, 17075, 11984, 4, 55, 50223, 147, 1402, 654, 13164, 1672, 928, 12274, 29, 237, 1157, 5, 50223, 229, 5, 444, 1182, 225, 1402, 654, 13164, 1672, 6, 7509, 165, 9, 6387, 4, 13, 8, 265, 9472, 794, 25272, 1907, 24922, 28, 9124, 50223, 56, 5012, 481, 29897, 1672, 48, 9293, 23, 18084, 30605, 377, 844, 13739, 1621, 31451, 4370, 5, 50223, 1046, 47864, 15776, 5, 1182, 50223, 5719, 22185, 34022, 34345, 1182, 50223, 352, 5, 253, 1182, 3206, 7956, 38917, 1182, 50244, 50223, 71, 50209, 46622, 2193, 34345, 82, 9982, 5, 10903, 5, 237, 1157, 50223, 211, 50209, 8380, 185, 22376, 22983, 1572, 5, 50223, 352, 5, 196, 1182, 225, 1402, 654, 13164, 1672, 141, 11850, 31827, 706, 7509, 176, 3305, 8, 265, 45708, 25272, 35, 83, 36, 50223, 4754, 116, 27323, 7509, 168, 4, 8380, 185, 14600, 252, 12, 13764, 2668, 17655, 185, 48812, 688, 4, 95, 1628, 39372, 50223, 35653, 524, 7671, 4855, 23835, 28, 42754, 21744, 5, 50223, 352, 5, 259, 1182, 225, 1402, 654, 13164, 1672, 141, 11850, 31827, 706, 7509, 176, 3305, 8, 265, 4, 93, 7509, 165, 48, 10686, 50223, 465, 17717, 731, 7, 517, 3181, 437, 1216, 31, 2747, 8, 11984, 150, 5, 253, 1973, 7085, 5, 237, 1157, 4, 8380, 185, 14600, 252, 12, 50223, 12433, 2668, 17655, 185, 48812, 688, 4, 95, 1628, 39372, 4283, 7671, 4855, 23835, 28, 42754, 50223, 929, 15870, 179, 5, 50223, 352, 5, 328, 1182, 225, 1402, 654, 13164, 1672, 141, 11850, 31827, 706, 7509, 176, 3305, 8, 265, 44782, 26979, 50223, 702, 19419, 359, 9134, 4485, 10625, 14151, 1194, 21226, 3423, 5, 3023, 15870, 96, 19917, 15, 2993, 50223, 88, 1330, 610, 8, 316, 11984, 10, 1943, 12433, 774, 6, 1628, 39372, 4283, 7671, 4855, 23835, 28, 50223, 201, 2866, 3461, 21744, 5, 50223, 352, 5, 266, 1182, 4663, 52, 30207, 8, 364, 34022, 34345, 10, 7509, 165, 2933, 11317, 34345, 14040, 3149, 6, 14040, 101, 816, 14009, 50223, 147, 1402, 654, 13164, 11890, 5, 50223, 352, 5, 444, 1182, 1368, 55, 7509, 165, 1239, 7, 14282, 34345, 16, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 858, 14523, 2225, 5, 50223, 229, 5, 266, 1182, 1368, 7509, 165, 32414, 2352, 4139, 7509, 168, 15, 1924, 13709, 8, 17075, 11984, 4, 55, 50223, 147, 1402, 654, 13164, 1672, 928, 12274, 29, 237, 1157, 5, 50223, 229, 5, 444, 1182, 225, 1402, 654, 13164, 1672, 6, 7509, 165, 9, 6387, 4, 13, 8, 265, 9472, 794, 25272, 1907, 24922, 28, 9124, 50223, 56, 5012, 481, 29897, 1672, 48, 9293, 23, 18084, 30605, 377, 844, 13739, 1621, 31451, 4370, 5, 50223, 1046, 47864, 15776, 5, 1182, 50223, 5719, 22185, 34022, 34345, 1182, 50223, 352, 5, 253, 1182, 3206, 7956, 38917, 1182, 50244, 50223, 71, 50209, 46622, 2193, 34345, 82, 9982, 5, 10903, 5, 237, 1157, 50223, 211, 50209, 8380, 185, 22376, 22983, 1572, 5, 50223, 352, 5, 196, 1182, 225, 1402, 654, 13164, 1672, 141, 11850, 31827, 706, 7509, 176, 3305, 8, 265, 45708, 25272, 35, 83, 36, 50223, 4754, 116, 27323, 7509, 168, 4, 8380, 185, 14600, 252, 12, 13764, 2668, 17655, 185, 48812, 688, 4, 95, 1628, 39372, 50223, 35653, 524, 7671, 4855, 23835, 28, 42754, 21744, 5, 50223, 352, 5, 259, 1182, 225, 1402, 654, 13164, 1672, 141, 11850, 31827, 706, 7509, 176, 3305, 8, 265, 4, 93, 7509, 165, 48, 10686, 50223, 465, 17717, 731, 7, 517, 3181, 437, 1216, 31, 2747, 8, 11984, 150, 5, 253, 1973, 7085, 5, 237, 1157, 4, 8380, 185, 14600, 252, 12, 50223, 12433, 2668, 17655, 185, 48812, 688, 4, 95, 1628, 39372, 4283, 7671, 4855, 23835, 28, 42754, 50223, 929, 15870, 179, 5, 50223, 352, 5, 328, 1182, 225, 1402, 654, 13164, 1672, 141, 11850, 31827, 706, 7509, 176, 3305, 8, 265, 44782, 26979, 50223, 702, 19419, 359, 9134, 4485, 10625, 14151, 1194, 21226, 3423, 5, 3023, 15870, 96, 19917, 15, 2993, 50223, 88, 1330, 610, 8, 316, 11984, 10, 1943, 12433, 774, 6, 1628, 39372, 4283, 7671, 4855, 23835, 28, 50223, 201, 2866, 3461, 21744, 5, 50223, 352, 5, 266, 1182, 4663, 52, 30207, 8, 364, 34022, 34345, 10, 7509, 165, 2933, 11317, 34345, 14040, 3149, 6, 14040, 101, 816, 14009, 50223, 147, 1402, 654, 13164, 11890, 5, 50223, 352, 5, 444, 1182, 1368, 55, 7509, 165, 1239, 7, 14282, 34345, 16, 28, 1090, 4, 47, 10, 45300, 8, 1973, 10903, 5, 1004, 207, 5, 253, 237, 50223, 100, 32445, 465, 19, 364, 34022, 34345, 4, 17733, 11, 29897, 11890, 11850, 8, 9124, 1427, 734, 67, 8284, 4432, 50223, 96, 31916, 5551, 21724, 8, 237, 8195, 5, 50223, 1046, 47864, 159, 10311, 5, 1182, 50223, 37232, 9661, 1182, 50223, 429, 5, 253, 1182, 12256, 7509, 96, 5885, 9, 11708, 8, 2185, 2476, 7014, 81, 607, 31718, 50223, 234, 5, 4064, 10668, 50209, 3294, 7565, 50209, 1508, 2659, 77, 864, 11848, 5, 10582, 5, 1508, 2659, 5, 50223, 429, 5, 196, 1182, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 12253, 361, 293, 778, 7509, 2042, 8, 2372, 8688, 68, 7, 24066, 17936, 5, 50223, 429, 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, 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, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0, 22983, 1572, 5, 50223, 352, 5, 196, 1182, 225, 1402, 654, 13164, 1672, 141, 11850, 31827, 706, 7509, 176, 3305, 8, 265, 45708, 25272, 35, 83, 36, 50223, 4754, 116, 27323, 7509, 168, 4, 8380, 185, 14600, 252, 12, 13764, 2668, 17655, 185, 48812, 688, 4, 95, 1628, 39372, 50223, 35653, 524, 7671, 4855, 23835, 28, 42754, 21744, 5, 50223, 352, 5, 259, 1182, 225, 1402, 654, 13164, 1672, 141, 11850, 31827, 706, 7509, 176, 3305, 8, 265, 4, 93, 7509, 165, 48, 10686, 50223, 465, 17717, 731, 7, 517, 3181, 437, 1216, 31, 2747, 8, 11984, 150, 5, 253, 1973, 7085, 5, 237, 1157, 4, 8380, 185, 14600, 252, 12, 50223, 12433, 2668, 17655, 185, 48812, 688, 4, 95, 1628, 39372, 4283, 7671, 4855, 23835, 28, 42754, 50223, 929, 15870, 179, 5, 50223, 352, 5, 328, 1182, 225, 1402, 654, 13164, 1672, 141, 11850, 31827, 706, 7509, 176, 3305, 8, 265, 44782, 26979, 50223, 702, 19419, 359, 9134, 4485, 10625, 14151, 1194, 21226, 3423, 5, 3023, 15870, 96, 19917, 15, 2993, 50223, 88, 1330, 610, 8, 316, 11984, 10, 1943, 12433, 774, 6, 1628, 39372, 4283, 7671, 4855, 23835, 28, 50223, 201, 2866, 3461, 21744, 5, 50223, 352, 5, 266, 1182, 4663, 52, 30207, 8, 364, 34022, 34345, 10, 7509, 165, 2933, 11317, 34345, 14040, 3149, 6, 14040, 101, 816, 14009, 50223, 147, 1402, 654, 13164, 11890, 5, 50223, 352, 5, 444, 1182, 1368, 55, 7509, 165, 1239, 7, 14282, 34345, 16, 28, 1090, 4, 47, 10, 45300, 8, 1973, 10903, 5, 1004, 207, 5, 253, 237, 50223, 100, 32445, 465, 19, 364, 34022, 34345, 4, 17733, 11, 29897, 11890, 11850, 8, 9124, 1427, 734, 67, 8284, 4432, 50223, 96, 31916, 5551, 21724, 8, 237, 8195, 5, 50223, 1046, 47864, 159, 10311, 5, 1182, 50223, 37232, 9661, 1182, 50223, 429, 5, 253, 1182, 12256, 7509, 96, 5885, 9, 11708, 8, 2185, 2476, 7014, 81, 607, 31718, 50223, 234, 5, 4064, 10668, 50209, 3294, 7565, 50209, 1508, 2659, 77, 864, 11848, 5, 10582, 5, 1508, 2659, 5, 50223, 429, 5, 196, 1182, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 12253, 361, 293, 778, 7509, 2042, 8, 2372, 8688, 68, 7, 24066, 17936, 5, 50223, 429, 5, 259, 1182, 3206, 7956, 165, 9, 67, 24354, 237, 1157, 12, 7182, 34345, 1592, 14021, 3515, 4, 3329, 38190, 14, 54, 50223, 71, 35985, 154, 4, 13, 11317, 34345, 7413, 26099, 7, 47, 14, 54, 12253, 193, 5, 50223, 429, 5, 328, 1182, 3206, 7956, 165, 9, 20913, 11330, 511, 5304, 1182, 48870, 25877, 1289, 80, 46514, 30832, 1896, 6, 15575, 50223, 190, 11201, 13593, 20899, 68, 6, 452, 6437, 2372, 5, 3206, 7956, 165, 14, 10, 29215, 4, 13, 10873, 1266, 20769, 50223, 379, 22347, 11877, 29897, 2875, 7, 10345, 27529, 23082, 32860, 9, 2630, 23, 19290, 9983, 50223, 100, 47701, 163, 2318, 6, 10, 7823, 21744, 77, 400, 29897, 2875, 5, 3023, 15870, 96, 19917, 10, 8, 7708, 50223, 49394, 1599, 47958, 774, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ -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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 4855, 23835, 28, 42754, 50223, 929, 15870, 179, 5, 50223, 352, 5, 328, 1182, 225, 1402, 654, 13164, 1672, 141, 11850, 31827, 706, 7509, 176, 3305, 8, 265, 44782, 26979, 50223, 702, 19419, 359, 9134, 4485, 10625, 14151, 1194, 21226, 3423, 5, 3023, 15870, 96, 19917, 15, 2993, 50223, 88, 1330, 610, 8, 316, 11984, 10, 1943, 12433, 774, 6, 1628, 39372, 4283, 7671, 4855, 23835, 28, 50223, 201, 2866, 3461, 21744, 5, 50223, 352, 5, 266, 1182, 4663, 52, 30207, 8, 364, 34022, 34345, 10, 7509, 165, 2933, 11317, 34345, 14040, 3149, 6, 14040, 101, 816, 14009, 50223, 147, 1402, 654, 13164, 11890, 5, 50223, 352, 5, 444, 1182, 1368, 55, 7509, 165, 1239, 7, 14282, 34345, 16, 28, 1090, 4, 47, 10, 45300, 8, 1973, 10903, 5, 1004, 207, 5, 253, 237, 50223, 100, 32445, 465, 19, 364, 34022, 34345, 4, 17733, 11, 29897, 11890, 11850, 8, 9124, 1427, 734, 67, 8284, 4432, 50223, 96, 31916, 5551, 21724, 8, 237, 8195, 5, 50223, 1046, 47864, 159, 10311, 5, 1182, 50223, 37232, 9661, 1182, 50223, 429, 5, 253, 1182, 12256, 7509, 96, 5885, 9, 11708, 8, 2185, 2476, 7014, 81, 607, 31718, 50223, 234, 5, 4064, 10668, 50209, 3294, 7565, 50209, 1508, 2659, 77, 864, 11848, 5, 10582, 5, 1508, 2659, 5, 50223, 429, 5, 196, 1182, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 12253, 361, 293, 778, 7509, 2042, 8, 2372, 8688, 68, 7, 24066, 17936, 5, 50223, 429, 5, 259, 1182, 3206, 7956, 165, 9, 67, 24354, 237, 1157, 12, 7182, 34345, 1592, 14021, 3515, 4, 3329, 38190, 14, 54, 50223, 71, 35985, 154, 4, 13, 11317, 34345, 7413, 26099, 7, 47, 14, 54, 12253, 193, 5, 50223, 429, 5, 328, 1182, 3206, 7956, 165, 9, 20913, 11330, 511, 5304, 1182, 48870, 25877, 1289, 80, 46514, 30832, 1896, 6, 15575, 50223, 190, 11201, 13593, 20899, 68, 6, 452, 6437, 2372, 5, 3206, 7956, 165, 14, 10, 29215, 4, 13, 10873, 1266, 20769, 50223, 379, 22347, 11877, 29897, 2875, 7, 10345, 27529, 23082, 32860, 9, 2630, 23, 19290, 9983, 50223, 100, 47701, 163, 2318, 6, 10, 7823, 21744, 77, 400, 29897, 2875, 5, 3023, 15870, 96, 19917, 10, 8, 7708, 50223, 49394, 1599, 47958, 774, 6, 1628, 39372, 4283, 7671, 4855, 23835, 28, 42754, 21744, 5, 50223, 429, 5, 266, 1182, 3206, 7956, 165, 3199, 1140, 11317, 34345, 18, 108, 96, 31916, 2883, 6165, 5, 50223, 429, 5, 444, 1182, 3206, 7956, 165, 9, 20913, 28, 6067, 34345, 7, 2101, 2183, 8882, 12253, 11255, 7350, 18, 50223, 147, 16390, 168, 2447, 5, 50223, 429, 5, 497, 1182, 225, 1402, 654, 13164, 1672, 6, 7509, 165, 9, 6387, 4, 13, 8, 265, 4, 93, 7509, 165, 20819, 7551, 61, 9080, 498, 7551, 4574, 33, 50223, 4468, 3469, 10003, 1733, 19653, 9238, 4, 376, 18, 292, 734, 29, 34022, 34345, 788, 1494, 4827, 151, 4, 10, 25, 110, 50223, 1006, 16514, 68, 423, 6, 36569, 866, 7509, 2042, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0, 47, 10, 45300, 8, 1973, 10903, 5, 1004, 207, 5, 253, 237, 50223, 100, 32445, 465, 19, 364, 34022, 34345, 4, 17733, 11, 29897, 11890, 11850, 8, 9124, 1427, 734, 67, 8284, 4432, 50223, 96, 31916, 5551, 21724, 8, 237, 8195, 5, 50223, 1046, 47864, 159, 10311, 5, 1182, 50223, 37232, 9661, 1182, 50223, 429, 5, 253, 1182, 12256, 7509, 96, 5885, 9, 11708, 8, 2185, 2476, 7014, 81, 607, 31718, 50223, 234, 5, 4064, 10668, 50209, 3294, 7565, 50209, 1508, 2659, 77, 864, 11848, 5, 10582, 5, 1508, 2659, 5, 50223, 429, 5, 196, 1182, 225, 1402, 654, 13164, 1672, 17998, 133, 2031, 12253, 361, 293, 778, 7509, 2042, 8, 2372, 8688, 68, 7, 24066, 17936, 5, 50223, 429, 5, 259, 1182, 3206, 7956, 165, 9, 67, 24354, 237, 1157, 12, 7182, 34345, 1592, 14021, 3515, 4, 3329, 38190, 14, 54, 50223, 71, 35985, 154, 4, 13, 11317, 34345, 7413, 26099, 7, 47, 14, 54, 12253, 193, 5, 50223, 429, 5, 328, 1182, 3206, 7956, 165, 9, 20913, 11330, 511, 5304, 1182, 48870, 25877, 1289, 80, 46514, 30832, 1896, 6, 15575, 50223, 190, 11201, 13593, 20899, 68, 6, 452, 6437, 2372, 5, 3206, 7956, 165, 14, 10, 29215, 4, 13, 10873, 1266, 20769, 50223, 379, 22347, 11877, 29897, 2875, 7, 10345, 27529, 23082, 32860, 9, 2630, 23, 19290, 9983, 50223, 100, 47701, 163, 2318, 6, 10, 7823, 21744, 77, 400, 29897, 2875, 5, 3023, 15870, 96, 19917, 10, 8, 7708, 50223, 49394, 1599, 47958, 774, 6, 1628, 39372, 4283, 7671, 4855, 23835, 28, 42754, 21744, 5, 50223, 429, 5, 266, 1182, 3206, 7956, 165, 3199, 1140, 11317, 34345, 18, 108, 96, 31916, 2883, 6165, 5, 50223, 429, 5, 444, 1182, 3206, 7956, 165, 9, 20913, 28, 6067, 34345, 7, 2101, 2183, 8882, 12253, 11255, 7350, 18, 50223, 147, 16390, 168, 2447, 5, 50223, 429, 5, 497, 1182, 225, 1402, 654, 13164, 1672, 6, 7509, 165, 9, 6387, 4, 13, 8, 265, 4, 93, 7509, 165, 20819, 7551, 61, 9080, 498, 7551, 4574, 33, 50223, 4468, 3469, 10003, 1733, 19653, 9238, 4, 376, 18, 292, 734, 29, 34022, 34345, 788, 1494, 4827, 151, 4, 10, 25, 110, 50223, 1006, 16514, 68, 423, 6, 36569, 866, 7509, 2042, 4, 7, 2183, 7509, 453, 4, 10260, 1146, 29897, 1672, 5, 3206, 7956, 165, 50223, 88, 2253, 1665, 29897, 11890, 306, 9310, 2183, 33747, 12, 863, 30549, 61, 7731, 1338, 12253, 42441, 5304, 50223, 190, 10123, 3331, 18, 414, 734, 3323, 864, 4, 19, 54, 29897, 1672, 30, 237, 635, 25089, 8243, 5, 50223, 429, 5, 528, 1182, 34124, 7306, 400, 9, 6387, 7, 13272, 812, 12539, 681, 47497, 16208, 9, 4791, 15, 7509, 116, 1157, 50223, 31659, 237, 1157, 12, 171, 4, 13, 23727, 53, 9, 2630, 23, 7728, 18259, 18, 59, 3141, 3863, 4, 16, 57, 48, 50223, 147, 1402, 654, 13164, 11890, 14917, 9508, 406, 19, 23727, 53, 7509, 391, 1123, 190, 2782, 256, 5, 2445, 3782, 52, 11, 1450, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0, 3206, 7956, 165, 9, 67, 24354, 237, 1157, 12, 7182, 34345, 1592, 14021, 3515, 4, 3329, 38190, 14, 54, 50223, 71, 35985, 154, 4, 13, 11317, 34345, 7413, 26099, 7, 47, 14, 54, 12253, 193, 5, 50223, 429, 5, 328, 1182, 3206, 7956, 165, 9, 20913, 11330, 511, 5304, 1182, 48870, 25877, 1289, 80, 46514, 30832, 1896, 6, 15575, 50223, 190, 11201, 13593, 20899, 68, 6, 452, 6437, 2372, 5, 3206, 7956, 165, 14, 10, 29215, 4, 13, 10873, 1266, 20769, 50223, 379, 22347, 11877, 29897, 2875, 7, 10345, 27529, 23082, 32860, 9, 2630, 23, 19290, 9983, 50223, 100, 47701, 163, 2318, 6, 10, 7823, 21744, 77, 400, 29897, 2875, 5, 3023, 15870, 96, 19917, 10, 8, 7708, 50223, 49394, 1599, 47958, 774, 6, 1628, 39372, 4283, 7671, 4855, 23835, 28, 42754, 21744, 5, 50223, 429, 5, 266, 1182, 3206, 7956, 165, 3199, 1140, 11317, 34345, 18, 108, 96, 31916, 2883, 6165, 5, 50223, 429, 5, 444, 1182, 3206, 7956, 165, 9, 20913, 28, 6067, 34345, 7, 2101, 2183, 8882, 12253, 11255, 7350, 18, 50223, 147, 16390, 168, 2447, 5, 50223, 429, 5, 497, 1182, 225, 1402, 654, 13164, 1672, 6, 7509, 165, 9, 6387, 4, 13, 8, 265, 4, 93, 7509, 165, 20819, 7551, 61, 9080, 498, 7551, 4574, 33, 50223, 4468, 3469, 10003, 1733, 19653, 9238, 4, 376, 18, 292, 734, 29, 34022, 34345, 788, 1494, 4827, 151, 4, 10, 25, 110, 50223, 1006, 16514, 68, 423, 6, 36569, 866, 7509, 2042, 4, 7, 2183, 7509, 453, 4, 10260, 1146, 29897, 1672, 5, 3206, 7956, 165, 50223, 88, 2253, 1665, 29897, 11890, 306, 9310, 2183, 33747, 12, 863, 30549, 61, 7731, 1338, 12253, 42441, 5304, 50223, 190, 10123, 3331, 18, 414, 734, 3323, 864, 4, 19, 54, 29897, 1672, 30, 237, 635, 25089, 8243, 5, 50223, 429, 5, 528, 1182, 34124, 7306, 400, 9, 6387, 7, 13272, 812, 12539, 681, 47497, 16208, 9, 4791, 15, 7509, 116, 1157, 50223, 31659, 237, 1157, 12, 171, 4, 13, 23727, 53, 9, 2630, 23, 7728, 18259, 18, 59, 3141, 3863, 4, 16, 57, 48, 50223, 147, 1402, 654, 13164, 11890, 14917, 9508, 406, 19, 23727, 53, 7509, 391, 1123, 190, 2782, 256, 5, 2445, 3782, 52, 11, 1450, 38, 28495, 691, 50223, 1297, 47497, 7509, 453, 29897, 11890, 5, 34124, 7306, 400, 9, 6387, 4, 13, 6610, 24, 7728, 14482, 681, 47497, 24, 50223, 96, 7956, 453, 10, 9272, 14834, 8, 1973, 186, 5, 11984, 107, 5, 196, 237, 1157, 6, 6610, 28495, 687, 681, 47497, 24, 50223, 147, 1402, 654, 13164, 2875, 10, 9272, 14834, 8, 1973, 186, 5, 11984, 107, 5, 253, 237, 1157, 5, 50223, 429, 5, 612, 1182, 34124, 7306, 400, 9, 6387, 4, 13, 93, 48, 740, 1146, 8, 17933, 237, 1157, 4, 33, 8, 102, 998, 17777, 967, 50223, 465, 42458, 610, 29897, 4852, 4, 12425, 3978, 8, 28498, 4, 28, 29049, 33, 1304, 250, 12111, 481, 4499, 185, 50223, 470, 4866, 308, 4, 9836, 8609, 34720, 8365, 12425, 6, 16302, 4499, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ -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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 4283, 7671, 4855, 23835, 28, 42754, 21744, 5, 50223, 429, 5, 266, 1182, 3206, 7956, 165, 3199, 1140, 11317, 34345, 18, 108, 96, 31916, 2883, 6165, 5, 50223, 429, 5, 444, 1182, 3206, 7956, 165, 9, 20913, 28, 6067, 34345, 7, 2101, 2183, 8882, 12253, 11255, 7350, 18, 50223, 147, 16390, 168, 2447, 5, 50223, 429, 5, 497, 1182, 225, 1402, 654, 13164, 1672, 6, 7509, 165, 9, 6387, 4, 13, 8, 265, 4, 93, 7509, 165, 20819, 7551, 61, 9080, 498, 7551, 4574, 33, 50223, 4468, 3469, 10003, 1733, 19653, 9238, 4, 376, 18, 292, 734, 29, 34022, 34345, 788, 1494, 4827, 151, 4, 10, 25, 110, 50223, 1006, 16514, 68, 423, 6, 36569, 866, 7509, 2042, 4, 7, 2183, 7509, 453, 4, 10260, 1146, 29897, 1672, 5, 3206, 7956, 165, 50223, 88, 2253, 1665, 29897, 11890, 306, 9310, 2183, 33747, 12, 863, 30549, 61, 7731, 1338, 12253, 42441, 5304, 50223, 190, 10123, 3331, 18, 414, 734, 3323, 864, 4, 19, 54, 29897, 1672, 30, 237, 635, 25089, 8243, 5, 50223, 429, 5, 528, 1182, 34124, 7306, 400, 9, 6387, 7, 13272, 812, 12539, 681, 47497, 16208, 9, 4791, 15, 7509, 116, 1157, 50223, 31659, 237, 1157, 12, 171, 4, 13, 23727, 53, 9, 2630, 23, 7728, 18259, 18, 59, 3141, 3863, 4, 16, 57, 48, 50223, 147, 1402, 654, 13164, 11890, 14917, 9508, 406, 19, 23727, 53, 7509, 391, 1123, 190, 2782, 256, 5, 2445, 3782, 52, 11, 1450, 38, 28495, 691, 50223, 1297, 47497, 7509, 453, 29897, 11890, 5, 34124, 7306, 400, 9, 6387, 4, 13, 6610, 24, 7728, 14482, 681, 47497, 24, 50223, 96, 7956, 453, 10, 9272, 14834, 8, 1973, 186, 5, 11984, 107, 5, 196, 237, 1157, 6, 6610, 28495, 687, 681, 47497, 24, 50223, 147, 1402, 654, 13164, 2875, 10, 9272, 14834, 8, 1973, 186, 5, 11984, 107, 5, 253, 237, 1157, 5, 50223, 429, 5, 612, 1182, 34124, 7306, 400, 9, 6387, 4, 13, 93, 48, 740, 1146, 8, 17933, 237, 1157, 4, 33, 8, 102, 998, 17777, 967, 50223, 465, 42458, 610, 29897, 4852, 4, 12425, 3978, 8, 28498, 4, 28, 29049, 33, 1304, 250, 12111, 481, 4499, 185, 50223, 470, 4866, 308, 4, 9836, 8609, 34720, 8365, 12425, 6, 16302, 4499, 176, 18, 4866, 90, 23, 24466, 400, 10, 50223, 290, 13431, 86, 2039, 34461, 14644, 237, 1157, 9128, 8, 11984, 107, 5, 253, 1973, 107, 237, 1157, 5, 1182, 1182, 50223, 429, 5, 828, 1182, 3206, 7956, 165, 9, 20913, 88, 2253, 1833, 38, 14039, 832, 7509, 116, 1157, 48913, 1940, 71, 16851, 462, 14643, 50223, 4754, 7772, 7753, 370, 6434, 23, 5756, 237, 1157, 45, 1493, 236, 4, 27, 1182, 49607, 14238, 27272, 705, 18, 6016, 52, 17199, 1054, 31718, 50223, 56, 7741, 12280, 3069, 168, 28936, 271, 704, 5, 50223, 429, 5, 1164, 1182, 225, 1402, 654, 13164, 1672, 55, 928, 8, 265, 18672, 533, 3729, 9661, 237, 1157, 18014, 29, 50223, 96, 7956, 453, 16851, 176, 7366, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0, 10260, 1146, 29897, 1672, 5, 3206, 7956, 165, 50223, 88, 2253, 1665, 29897, 11890, 306, 9310, 2183, 33747, 12, 863, 30549, 61, 7731, 1338, 12253, 42441, 5304, 50223, 190, 10123, 3331, 18, 414, 734, 3323, 864, 4, 19, 54, 29897, 1672, 30, 237, 635, 25089, 8243, 5, 50223, 429, 5, 528, 1182, 34124, 7306, 400, 9, 6387, 7, 13272, 812, 12539, 681, 47497, 16208, 9, 4791, 15, 7509, 116, 1157, 50223, 31659, 237, 1157, 12, 171, 4, 13, 23727, 53, 9, 2630, 23, 7728, 18259, 18, 59, 3141, 3863, 4, 16, 57, 48, 50223, 147, 1402, 654, 13164, 11890, 14917, 9508, 406, 19, 23727, 53, 7509, 391, 1123, 190, 2782, 256, 5, 2445, 3782, 52, 11, 1450, 38, 28495, 691, 50223, 1297, 47497, 7509, 453, 29897, 11890, 5, 34124, 7306, 400, 9, 6387, 4, 13, 6610, 24, 7728, 14482, 681, 47497, 24, 50223, 96, 7956, 453, 10, 9272, 14834, 8, 1973, 186, 5, 11984, 107, 5, 196, 237, 1157, 6, 6610, 28495, 687, 681, 47497, 24, 50223, 147, 1402, 654, 13164, 2875, 10, 9272, 14834, 8, 1973, 186, 5, 11984, 107, 5, 253, 237, 1157, 5, 50223, 429, 5, 612, 1182, 34124, 7306, 400, 9, 6387, 4, 13, 93, 48, 740, 1146, 8, 17933, 237, 1157, 4, 33, 8, 102, 998, 17777, 967, 50223, 465, 42458, 610, 29897, 4852, 4, 12425, 3978, 8, 28498, 4, 28, 29049, 33, 1304, 250, 12111, 481, 4499, 185, 50223, 470, 4866, 308, 4, 9836, 8609, 34720, 8365, 12425, 6, 16302, 4499, 176, 18, 4866, 90, 23, 24466, 400, 10, 50223, 290, 13431, 86, 2039, 34461, 14644, 237, 1157, 9128, 8, 11984, 107, 5, 253, 1973, 107, 237, 1157, 5, 1182, 1182, 50223, 429, 5, 828, 1182, 3206, 7956, 165, 9, 20913, 88, 2253, 1833, 38, 14039, 832, 7509, 116, 1157, 48913, 1940, 71, 16851, 462, 14643, 50223, 4754, 7772, 7753, 370, 6434, 23, 5756, 237, 1157, 45, 1493, 236, 4, 27, 1182, 49607, 14238, 27272, 705, 18, 6016, 52, 17199, 1054, 31718, 50223, 56, 7741, 12280, 3069, 168, 28936, 271, 704, 5, 50223, 429, 5, 1164, 1182, 225, 1402, 654, 13164, 1672, 55, 928, 8, 265, 18672, 533, 3729, 9661, 237, 1157, 18014, 29, 50223, 96, 7956, 453, 16851, 176, 7366, 45, 1493, 2418, 4, 48870, 25877, 49607, 14238, 27272, 5, 50223, 429, 5, 1260, 1182, 3206, 7956, 165, 35985, 154, 4, 13, 8084, 583, 11317, 34345, 8, 1334, 29, 3317, 5, 10582, 5, 1508, 2659, 18, 1270, 5, 10582, 5, 1508, 2659, 110, 50223, 100, 47701, 168, 3003, 5, 550, 713, 237, 2093, 5372, 29897, 11890, 4924, 7, 19478, 24578, 10879, 50223, 96, 7956, 168, 4, 47, 2035, 17346, 5104, 6868, 4, 11297, 4, 27, 1182, 49607, 14238, 27272, 4, 47, 9, 7509, 165, 20913, 43041, 915, 50223, 88, 2253, 1833, 18, 387, 734, 3323, 864, 28095, 237, 1157, 1182, 50189, 854, 1080, 1940, 71, 14643, 50191, 7, 3717, 29897, 2875, 9128, 8, 50223, 49729, 107, 5, 253, 237, 1157, 12, 7741, 12280, 3069, 168, 28936, 271, 1182, 581, 5125, 3410, 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 ]
[ -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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 34124, 7306, 400, 9, 6387, 4, 13, 6610, 24, 7728, 14482, 681, 47497, 24, 50223, 96, 7956, 453, 10, 9272, 14834, 8, 1973, 186, 5, 11984, 107, 5, 196, 237, 1157, 6, 6610, 28495, 687, 681, 47497, 24, 50223, 147, 1402, 654, 13164, 2875, 10, 9272, 14834, 8, 1973, 186, 5, 11984, 107, 5, 253, 237, 1157, 5, 50223, 429, 5, 612, 1182, 34124, 7306, 400, 9, 6387, 4, 13, 93, 48, 740, 1146, 8, 17933, 237, 1157, 4, 33, 8, 102, 998, 17777, 967, 50223, 465, 42458, 610, 29897, 4852, 4, 12425, 3978, 8, 28498, 4, 28, 29049, 33, 1304, 250, 12111, 481, 4499, 185, 50223, 470, 4866, 308, 4, 9836, 8609, 34720, 8365, 12425, 6, 16302, 4499, 176, 18, 4866, 90, 23, 24466, 400, 10, 50223, 290, 13431, 86, 2039, 34461, 14644, 237, 1157, 9128, 8, 11984, 107, 5, 253, 1973, 107, 237, 1157, 5, 1182, 1182, 50223, 429, 5, 828, 1182, 3206, 7956, 165, 9, 20913, 88, 2253, 1833, 38, 14039, 832, 7509, 116, 1157, 48913, 1940, 71, 16851, 462, 14643, 50223, 4754, 7772, 7753, 370, 6434, 23, 5756, 237, 1157, 45, 1493, 236, 4, 27, 1182, 49607, 14238, 27272, 705, 18, 6016, 52, 17199, 1054, 31718, 50223, 56, 7741, 12280, 3069, 168, 28936, 271, 704, 5, 50223, 429, 5, 1164, 1182, 225, 1402, 654, 13164, 1672, 55, 928, 8, 265, 18672, 533, 3729, 9661, 237, 1157, 18014, 29, 50223, 96, 7956, 453, 16851, 176, 7366, 45, 1493, 2418, 4, 48870, 25877, 49607, 14238, 27272, 5, 50223, 429, 5, 1260, 1182, 3206, 7956, 165, 35985, 154, 4, 13, 8084, 583, 11317, 34345, 8, 1334, 29, 3317, 5, 10582, 5, 1508, 2659, 18, 1270, 5, 10582, 5, 1508, 2659, 110, 50223, 100, 47701, 168, 3003, 5, 550, 713, 237, 2093, 5372, 29897, 11890, 4924, 7, 19478, 24578, 10879, 50223, 96, 7956, 168, 4, 47, 2035, 17346, 5104, 6868, 4, 11297, 4, 27, 1182, 49607, 14238, 27272, 4, 47, 9, 7509, 165, 20913, 43041, 915, 50223, 88, 2253, 1833, 18, 387, 734, 3323, 864, 28095, 237, 1157, 1182, 50189, 854, 1080, 1940, 71, 14643, 50191, 7, 3717, 29897, 2875, 9128, 8, 50223, 49729, 107, 5, 253, 237, 1157, 12, 7741, 12280, 3069, 168, 28936, 271, 1182, 581, 5125, 3410, 1260, 5, 1182, 1182, 50223, 1046, 47864, 159, 20024, 5, 1182, 50223, 2347, 8947, 466, 9661, 1182, 50223, 430, 5, 253, 1182, 3206, 7956, 96, 5885, 10, 8868, 406, 8, 207, 27, 1610, 2557, 2186, 553, 4, 29897, 1672, 456, 23286, 416, 6, 7509, 165, 522, 50223, 465, 42458, 282, 5, 50223, 430, 5, 196, 1182, 34124, 1032, 10, 434, 5455, 6, 40758, 28, 7404, 22983, 1572, 8380, 221, 11175, 275, 5, 50223, 430, 5, 259, 1182, 550, 306, 2639, 3507, 21737, 42015, 287, 1154, 6, 3488, 29897, 2875, 6, 7509, 453, 9, 50223, 17893, 22976, 14890, 9661, 28913, 19088, 508, 5, 2137, 50209, 1250, 5307, 10833, 5, 8, 4083, 6284, 4291, 6, 50223, 470, 15898, 269, 5, 50223, 430, 5, 328, 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 ]
[ -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, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100 ]
[ 0, 10, 50223, 290, 13431, 86, 2039, 34461, 14644, 237, 1157, 9128, 8, 11984, 107, 5, 253, 1973, 107, 237, 1157, 5, 1182, 1182, 50223, 429, 5, 828, 1182, 3206, 7956, 165, 9, 20913, 88, 2253, 1833, 38, 14039, 832, 7509, 116, 1157, 48913, 1940, 71, 16851, 462, 14643, 50223, 4754, 7772, 7753, 370, 6434, 23, 5756, 237, 1157, 45, 1493, 236, 4, 27, 1182, 49607, 14238, 27272, 705, 18, 6016, 52, 17199, 1054, 31718, 50223, 56, 7741, 12280, 3069, 168, 28936, 271, 704, 5, 50223, 429, 5, 1164, 1182, 225, 1402, 654, 13164, 1672, 55, 928, 8, 265, 18672, 533, 3729, 9661, 237, 1157, 18014, 29, 50223, 96, 7956, 453, 16851, 176, 7366, 45, 1493, 2418, 4, 48870, 25877, 49607, 14238, 27272, 5, 50223, 429, 5, 1260, 1182, 3206, 7956, 165, 35985, 154, 4, 13, 8084, 583, 11317, 34345, 8, 1334, 29, 3317, 5, 10582, 5, 1508, 2659, 18, 1270, 5, 10582, 5, 1508, 2659, 110, 50223, 100, 47701, 168, 3003, 5, 550, 713, 237, 2093, 5372, 29897, 11890, 4924, 7, 19478, 24578, 10879, 50223, 96, 7956, 168, 4, 47, 2035, 17346, 5104, 6868, 4, 11297, 4, 27, 1182, 49607, 14238, 27272, 4, 47, 9, 7509, 165, 20913, 43041, 915, 50223, 88, 2253, 1833, 18, 387, 734, 3323, 864, 28095, 237, 1157, 1182, 50189, 854, 1080, 1940, 71, 14643, 50191, 7, 3717, 29897, 2875, 9128, 8, 50223, 49729, 107, 5, 253, 237, 1157, 12, 7741, 12280, 3069, 168, 28936, 271, 1182, 581, 5125, 3410, 1260, 5, 1182, 1182, 50223, 1046, 47864, 159, 20024, 5, 1182, 50223, 2347, 8947, 466, 9661, 1182, 50223, 430, 5, 253, 1182, 3206, 7956, 96, 5885, 10, 8868, 406, 8, 207, 27, 1610, 2557, 2186, 553, 4, 29897, 1672, 456, 23286, 416, 6, 7509, 165, 522, 50223, 465, 42458, 282, 5, 50223, 430, 5, 196, 1182, 34124, 1032, 10, 434, 5455, 6, 40758, 28, 7404, 22983, 1572, 8380, 221, 11175, 275, 5, 50223, 430, 5, 259, 1182, 550, 306, 2639, 3507, 21737, 42015, 287, 1154, 6, 3488, 29897, 2875, 6, 7509, 453, 9, 50223, 17893, 22976, 14890, 9661, 28913, 19088, 508, 5, 2137, 50209, 1250, 5307, 10833, 5, 8, 4083, 6284, 4291, 6, 50223, 470, 15898, 269, 5, 50223, 430, 5, 328, 1182, 3206, 7956, 165, 14368, 60, 5277, 3991, 59, 1725, 1049, 5630, 8, 237, 8195, 5, 50223, 430, 5, 266, 1182, 12256, 5885, 41460, 7671, 28095, 17258, 16851, 462, 14643, 6, 10, 26583, 7671, 16774, 3398, 28, 50223, 19583, 102, 17860, 5, 1368, 9, 18, 1020, 1405, 29, 45925, 1157, 5885, 18463, 2239, 4, 1450, 4, 13, 30, 50223, 1865, 1075, 170, 4938, 1157, 11334, 5, 1368, 5885, 37, 10, 40018, 18, 429, 734, 3323, 864, 102, 45925, 4, 141, 7509, 165, 50223, 379, 3178, 1306, 7, 102, 27137, 8, 23219, 39613, 3716, 5, 50223, 430, 5, 444, 1182, 1368, 1245, 15, 19362, 237, 1157, 10, 33, 9, 1875, 18993, 221, 61, 45459, 221, 4, 1276, 48645, 9, 11, 50223, 143, 3081, 163, 19362, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0, 429, 5, 1260, 1182, 3206, 7956, 165, 35985, 154, 4, 13, 8084, 583, 11317, 34345, 8, 1334, 29, 3317, 5, 10582, 5, 1508, 2659, 18, 1270, 5, 10582, 5, 1508, 2659, 110, 50223, 100, 47701, 168, 3003, 5, 550, 713, 237, 2093, 5372, 29897, 11890, 4924, 7, 19478, 24578, 10879, 50223, 96, 7956, 168, 4, 47, 2035, 17346, 5104, 6868, 4, 11297, 4, 27, 1182, 49607, 14238, 27272, 4, 47, 9, 7509, 165, 20913, 43041, 915, 50223, 88, 2253, 1833, 18, 387, 734, 3323, 864, 28095, 237, 1157, 1182, 50189, 854, 1080, 1940, 71, 14643, 50191, 7, 3717, 29897, 2875, 9128, 8, 50223, 49729, 107, 5, 253, 237, 1157, 12, 7741, 12280, 3069, 168, 28936, 271, 1182, 581, 5125, 3410, 1260, 5, 1182, 1182, 50223, 1046, 47864, 159, 20024, 5, 1182, 50223, 2347, 8947, 466, 9661, 1182, 50223, 430, 5, 253, 1182, 3206, 7956, 96, 5885, 10, 8868, 406, 8, 207, 27, 1610, 2557, 2186, 553, 4, 29897, 1672, 456, 23286, 416, 6, 7509, 165, 522, 50223, 465, 42458, 282, 5, 50223, 430, 5, 196, 1182, 34124, 1032, 10, 434, 5455, 6, 40758, 28, 7404, 22983, 1572, 8380, 221, 11175, 275, 5, 50223, 430, 5, 259, 1182, 550, 306, 2639, 3507, 21737, 42015, 287, 1154, 6, 3488, 29897, 2875, 6, 7509, 453, 9, 50223, 17893, 22976, 14890, 9661, 28913, 19088, 508, 5, 2137, 50209, 1250, 5307, 10833, 5, 8, 4083, 6284, 4291, 6, 50223, 470, 15898, 269, 5, 50223, 430, 5, 328, 1182, 3206, 7956, 165, 14368, 60, 5277, 3991, 59, 1725, 1049, 5630, 8, 237, 8195, 5, 50223, 430, 5, 266, 1182, 12256, 5885, 41460, 7671, 28095, 17258, 16851, 462, 14643, 6, 10, 26583, 7671, 16774, 3398, 28, 50223, 19583, 102, 17860, 5, 1368, 9, 18, 1020, 1405, 29, 45925, 1157, 5885, 18463, 2239, 4, 1450, 4, 13, 30, 50223, 1865, 1075, 170, 4938, 1157, 11334, 5, 1368, 5885, 37, 10, 40018, 18, 429, 734, 3323, 864, 102, 45925, 4, 141, 7509, 165, 50223, 379, 3178, 1306, 7, 102, 27137, 8, 23219, 39613, 3716, 5, 50223, 430, 5, 444, 1182, 1368, 1245, 15, 19362, 237, 1157, 10, 33, 9, 1875, 18993, 221, 61, 45459, 221, 4, 1276, 48645, 9, 11, 50223, 143, 3081, 163, 19362, 237, 1157, 4, 39, 14093, 13079, 6, 13102, 5, 34124, 7306, 400, 9, 8, 316, 265, 50223, 19189, 1143, 2861, 22376, 8948, 46614, 33, 45459, 73, 24703, 3807, 47171, 6, 5506, 221, 50223, 88, 43071, 636, 4, 39, 1016, 8495, 3483, 23, 21861, 35887, 26099, 18993, 168, 33, 45459, 168, 50223, 88, 43071, 449, 5, 50223, 430, 5, 497, 1182, 34124, 7306, 400, 14229, 407, 4, 13, 14, 706, 3305, 67, 102, 24354, 46503, 4, 13, 124, 29283, 28, 50223, 190, 43064, 116, 7404, 82, 43, 36660, 14200, 4, 629, 4, 2029, 6, 13938, 5575, 4, 110, 257, 2209, 6, 863, 6777, 50223, 52, 49218, 163, 2318, 4, 35, 22925, 2271, 5114, 63, 5, 50223, 32, 48288, 4, 864, 50223, 290, 29897, 2875, 1182, 50244, 23, 7509, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1046, 47864, 159, 20024, 5, 1182, 50223, 2347, 8947, 466, 9661, 1182, 50223, 430, 5, 253, 1182, 3206, 7956, 96, 5885, 10, 8868, 406, 8, 207, 27, 1610, 2557, 2186, 553, 4, 29897, 1672, 456, 23286, 416, 6, 7509, 165, 522, 50223, 465, 42458, 282, 5, 50223, 430, 5, 196, 1182, 34124, 1032, 10, 434, 5455, 6, 40758, 28, 7404, 22983, 1572, 8380, 221, 11175, 275, 5, 50223, 430, 5, 259, 1182, 550, 306, 2639, 3507, 21737, 42015, 287, 1154, 6, 3488, 29897, 2875, 6, 7509, 453, 9, 50223, 17893, 22976, 14890, 9661, 28913, 19088, 508, 5, 2137, 50209, 1250, 5307, 10833, 5, 8, 4083, 6284, 4291, 6, 50223, 470, 15898, 269, 5, 50223, 430, 5, 328, 1182, 3206, 7956, 165, 14368, 60, 5277, 3991, 59, 1725, 1049, 5630, 8, 237, 8195, 5, 50223, 430, 5, 266, 1182, 12256, 5885, 41460, 7671, 28095, 17258, 16851, 462, 14643, 6, 10, 26583, 7671, 16774, 3398, 28, 50223, 19583, 102, 17860, 5, 1368, 9, 18, 1020, 1405, 29, 45925, 1157, 5885, 18463, 2239, 4, 1450, 4, 13, 30, 50223, 1865, 1075, 170, 4938, 1157, 11334, 5, 1368, 5885, 37, 10, 40018, 18, 429, 734, 3323, 864, 102, 45925, 4, 141, 7509, 165, 50223, 379, 3178, 1306, 7, 102, 27137, 8, 23219, 39613, 3716, 5, 50223, 430, 5, 444, 1182, 1368, 1245, 15, 19362, 237, 1157, 10, 33, 9, 1875, 18993, 221, 61, 45459, 221, 4, 1276, 48645, 9, 11, 50223, 143, 3081, 163, 19362, 237, 1157, 4, 39, 14093, 13079, 6, 13102, 5, 34124, 7306, 400, 9, 8, 316, 265, 50223, 19189, 1143, 2861, 22376, 8948, 46614, 33, 45459, 73, 24703, 3807, 47171, 6, 5506, 221, 50223, 88, 43071, 636, 4, 39, 1016, 8495, 3483, 23, 21861, 35887, 26099, 18993, 168, 33, 45459, 168, 50223, 88, 43071, 449, 5, 50223, 430, 5, 497, 1182, 34124, 7306, 400, 14229, 407, 4, 13, 14, 706, 3305, 67, 102, 24354, 46503, 4, 13, 124, 29283, 28, 50223, 190, 43064, 116, 7404, 82, 43, 36660, 14200, 4, 629, 4, 2029, 6, 13938, 5575, 4, 110, 257, 2209, 6, 863, 6777, 50223, 52, 49218, 163, 2318, 4, 35, 22925, 2271, 5114, 63, 5, 50223, 32, 48288, 4, 864, 50223, 290, 29897, 2875, 1182, 50244, 23, 7509, 453, 1182, 50244, 50223, 46434, 6824, 5, 14450, 225, 6538, 520, 50223, 1600, 1153, 11369, 607, 31718, 999, 27982, 445, 1292, 38277, 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 ]
[ -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, 1, 2, 3, 4, 4, 4, 4, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 14368, 60, 5277, 3991, 59, 1725, 1049, 5630, 8, 237, 8195, 5, 50223, 430, 5, 266, 1182, 12256, 5885, 41460, 7671, 28095, 17258, 16851, 462, 14643, 6, 10, 26583, 7671, 16774, 3398, 28, 50223, 19583, 102, 17860, 5, 1368, 9, 18, 1020, 1405, 29, 45925, 1157, 5885, 18463, 2239, 4, 1450, 4, 13, 30, 50223, 1865, 1075, 170, 4938, 1157, 11334, 5, 1368, 5885, 37, 10, 40018, 18, 429, 734, 3323, 864, 102, 45925, 4, 141, 7509, 165, 50223, 379, 3178, 1306, 7, 102, 27137, 8, 23219, 39613, 3716, 5, 50223, 430, 5, 444, 1182, 1368, 1245, 15, 19362, 237, 1157, 10, 33, 9, 1875, 18993, 221, 61, 45459, 221, 4, 1276, 48645, 9, 11, 50223, 143, 3081, 163, 19362, 237, 1157, 4, 39, 14093, 13079, 6, 13102, 5, 34124, 7306, 400, 9, 8, 316, 265, 50223, 19189, 1143, 2861, 22376, 8948, 46614, 33, 45459, 73, 24703, 3807, 47171, 6, 5506, 221, 50223, 88, 43071, 636, 4, 39, 1016, 8495, 3483, 23, 21861, 35887, 26099, 18993, 168, 33, 45459, 168, 50223, 88, 43071, 449, 5, 50223, 430, 5, 497, 1182, 34124, 7306, 400, 14229, 407, 4, 13, 14, 706, 3305, 67, 102, 24354, 46503, 4, 13, 124, 29283, 28, 50223, 190, 43064, 116, 7404, 82, 43, 36660, 14200, 4, 629, 4, 2029, 6, 13938, 5575, 4, 110, 257, 2209, 6, 863, 6777, 50223, 52, 49218, 163, 2318, 4, 35, 22925, 2271, 5114, 63, 5, 50223, 32, 48288, 4, 864, 50223, 290, 29897, 2875, 1182, 50244, 23, 7509, 453, 1182, 50244, 50223, 46434, 6824, 5, 14450, 225, 6538, 520, 50223, 1600, 1153, 11369, 607, 31718, 999, 27982, 445, 1292, 38277, 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 ]
[ -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, 1, 2, 3, 4, 4, 4, 4, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 14093, 13079, 6, 13102, 5, 34124, 7306, 400, 9, 8, 316, 265, 50223, 19189, 1143, 2861, 22376, 8948, 46614, 33, 45459, 73, 24703, 3807, 47171, 6, 5506, 221, 50223, 88, 43071, 636, 4, 39, 1016, 8495, 3483, 23, 21861, 35887, 26099, 18993, 168, 33, 45459, 168, 50223, 88, 43071, 449, 5, 50223, 430, 5, 497, 1182, 34124, 7306, 400, 14229, 407, 4, 13, 14, 706, 3305, 67, 102, 24354, 46503, 4, 13, 124, 29283, 28, 50223, 190, 43064, 116, 7404, 82, 43, 36660, 14200, 4, 629, 4, 2029, 6, 13938, 5575, 4, 110, 257, 2209, 6, 863, 6777, 50223, 52, 49218, 163, 2318, 4, 35, 22925, 2271, 5114, 63, 5, 50223, 32, 48288, 4, 864, 50223, 290, 29897, 2875, 1182, 50244, 23, 7509, 453, 1182, 50244, 50223, 46434, 6824, 5, 14450, 225, 6538, 520, 50223, 1600, 1153, 11369, 607, 31718, 999, 27982, 445, 1292, 38277, 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, 0, 0, 0, 0, 0, 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, 3, 4, 4, 4, 4, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 14450, 225, 6538, 520, 50223, 1600, 1153, 11369, 607, 31718, 999, 27982, 445, 1292, 38277, 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, 0, 0, 0, 0, 0 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -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, 14523, 87, 1182, 1182, 1182, 50223, 234, 5, 1182, 40498, 50209, 1508, 2659, 1182, 1182, 50223, 37442, 654, 13164, 1672, 50244, 1182, 8286, 5423, 4, 1182, 60, 7780, 17199, 1054, 50244, 36680, 5332, 16909, 107, 4, 563, 1164, 1270, 5423, 4, 50223, 126, 19219, 11730, 466, 1253, 50244, 2985, 1961, 253, 429, 10883, 4, 50223, 3206, 7956, 165, 50244, 1182, 1253, 7250, 186, 38810, 50244, 3218, 6799, 6026, 668, 2985, 668, 974, 259, 414, 4228, 2418, 253, 4, 50223, 190, 59, 4481, 12233, 1218, 50244, 11680, 5, 1161, 24653, 3052, 52, 1182, 27, 1600, 22483, 50223, 50189, 32092, 195, 36, 19, 1182, 48870, 25177, 147, 1402, 654, 13164, 51, 40, 50250, 50191, 50223, 71, 50223, 44075, 17670, 4, 12, 5, 199, 5, 143, 5, 1182, 10336, 50244, 18962, 173, 35919, 14561, 4135, 50209, 10668, 5423, 50223, 126, 19219, 11730, 466, 1253, 50244, 5708, 429, 10668, 6868, 444, 50223, 290, 15198, 1013, 8, 10584, 161, 16590, 19168, 1972, 5423, 50223, 190, 10157, 5, 130, 270, 34179, 508, 5, 4626, 2278, 259, 50209, 386, 50223, 190, 59, 4481, 12233, 1218, 50244, 4098, 258, 506, 19235, 4, 36153, 50223, 3171, 13847, 9246, 4, 36153, 50223, 50189, 32092, 195, 36, 19, 1182, 48870, 25177, 96, 7956, 165, 50250, 50191, 50223, 25888, 1182, 82, 1182, 1182, 23077, 24504, 6653, 259, 6, 856, 158, 5, 1182, 28913, 1182, 19088, 7509, 176, 3305, 1182, 1182, 50223, 50189, 32092, 1182, 36, 1182, 48870, 25177, 100, 32445, 177, 50250, 50191, 4, 6, 11, 664, 50244, 1182, 1182, 50223, 32903, 1182, 107, 1182, 50223, 4458, 6666, 6, 1182, 5204, 1182, 1157, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 27023, 1485, 19964, 5304, 710, 170, 5, 508, 5, 43787, 27, 318, 6653, 7376, 50209, 253, 4, 8224, 5, 3085, 5, 17, 20216, 50223, 612, 4708, 253, 413, 196, 8, 22477, 5, 635, 100, 5, 5423, 4, 95, 10, 28270, 7, 21251, 161, 9488, 5423, 4, 11950, 20944, 161, 50223, 86, 44748, 508, 5, 24090, 5, 50223, 196, 5, 20827, 132, 21737, 7, 713, 6309, 1584, 14370, 357, 3828, 39403, 607, 5423, 508, 5, 19068, 10313, 50209, 1508, 2659, 27, 50223, 1164, 668, 444, 50209, 1508, 2659, 27, 1054, 6909, 27, 112, 2334, 77, 864, 840, 5, 10044, 5, 1508, 2659, 4, 29897, 1672, 17998, 133, 2031, 7509, 2042, 18, 18512, 50223, 23711, 5304, 82, 1680, 5, 107, 332, 1973, 17, 20216, 1182, 411, 413, 196, 1182, 1182, 50189, 196, 4, 266, 1067, 429, 4, 196, 413, 50191, 7, 12264, 5, 113, 5, 46138, 20919, 50223, 4767, 40508, 508, 5, 704, 4228, 50209, 259, 4, 23, 5198, 26276, 6, 4728, 34454, 1182, 50189, 32092, 195, 36, 1182, 48870, 25177, 4767, 6666, 50223, 96, 31916, 50250, 50191, 5, 50223, 259, 5, 2095, 136, 299, 48, 11557, 13985, 29, 510, 2444, 6080, 18600, 1669, 1182, 50244, 4, 4, 315, 3063, 10740, 903, 21618, 2787, 378, 50250, 6, 48, 46023, 50223, 190, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 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, -100, -100, -100, -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, 44075, 17670, 4, 12, 5, 199, 5, 143, 5, 1182, 10336, 50244, 18962, 173, 35919, 14561, 4135, 50209, 10668, 5423, 50223, 126, 19219, 11730, 466, 1253, 50244, 5708, 429, 10668, 6868, 444, 50223, 290, 15198, 1013, 8, 10584, 161, 16590, 19168, 1972, 5423, 50223, 190, 10157, 5, 130, 270, 34179, 508, 5, 4626, 2278, 259, 50209, 386, 50223, 190, 59, 4481, 12233, 1218, 50244, 4098, 258, 506, 19235, 4, 36153, 50223, 3171, 13847, 9246, 4, 36153, 50223, 50189, 32092, 195, 36, 19, 1182, 48870, 25177, 96, 7956, 165, 50250, 50191, 50223, 25888, 1182, 82, 1182, 1182, 23077, 24504, 6653, 259, 6, 856, 158, 5, 1182, 28913, 1182, 19088, 7509, 176, 3305, 1182, 1182, 50223, 50189, 32092, 1182, 36, 1182, 48870, 25177, 100, 32445, 177, 50250, 50191, 4, 6, 11, 664, 50244, 1182, 1182, 50223, 32903, 1182, 107, 1182, 50223, 4458, 6666, 6, 1182, 5204, 1182, 1157, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 27023, 1485, 19964, 5304, 710, 170, 5, 508, 5, 43787, 27, 318, 6653, 7376, 50209, 253, 4, 8224, 5, 3085, 5, 17, 20216, 50223, 612, 4708, 253, 413, 196, 8, 22477, 5, 635, 100, 5, 5423, 4, 95, 10, 28270, 7, 21251, 161, 9488, 5423, 4, 11950, 20944, 161, 50223, 86, 44748, 508, 5, 24090, 5, 50223, 196, 5, 20827, 132, 21737, 7, 713, 6309, 1584, 14370, 357, 3828, 39403, 607, 5423, 508, 5, 19068, 10313, 50209, 1508, 2659, 27, 50223, 1164, 668, 444, 50209, 1508, 2659, 27, 1054, 6909, 27, 112, 2334, 77, 864, 840, 5, 10044, 5, 1508, 2659, 4, 29897, 1672, 17998, 133, 2031, 7509, 2042, 18, 18512, 50223, 23711, 5304, 82, 1680, 5, 107, 332, 1973, 17, 20216, 1182, 411, 413, 196, 1182, 1182, 50189, 196, 4, 266, 1067, 429, 4, 196, 413, 50191, 7, 12264, 5, 113, 5, 46138, 20919, 50223, 4767, 40508, 508, 5, 704, 4228, 50209, 259, 4, 23, 5198, 26276, 6, 4728, 34454, 1182, 50189, 32092, 195, 36, 1182, 48870, 25177, 4767, 6666, 50223, 96, 31916, 50250, 50191, 5, 50223, 259, 5, 2095, 136, 299, 48, 11557, 13985, 29, 510, 2444, 6080, 18600, 1669, 1182, 50244, 4, 4, 315, 3063, 10740, 903, 21618, 2787, 378, 50250, 6, 48, 46023, 50223, 190, 23997, 18197, 7, 706, 18600, 8184, 5, 50223, 32903, 1182, 119, 1182, 50223, 4280, 71, 34345, 1182, 1182, 50223, 1514, 7956, 9, 11708, 7, 1785, 13907, 29, 1182, 3317, 5, 9192, 5, 1508, 2659, 18, 1270, 5, 828, 5, 1508, 2659, 1182, 1182, 50223, 32903, 1182, 150, 1182, 50223, 3206, 7956, 73, 1182, 1182, 50223, 253, 5, 3206, 7956, 73, 23, 17936, 14108, 34345, 24, 3181, 2747, 8, 9982, 5, 186, 5, 1680, 5, 119, 237, 1157, 10, 45, 50223, 929, 11315, 1182, 563, 4, 14761, 1182, 233, 50209, 105, 196, 50209, 16021, 1182, 649, 5, 1048, 5, 393, 119, 563, 10668, 4, 2341, 233, 1182, 1182, 50189, 7319, 68, 43337, 23796, 48843, 10401, 457, 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, 0, 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, 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, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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 ]
[ 0, 6, 11, 664, 50244, 1182, 1182, 50223, 32903, 1182, 107, 1182, 50223, 4458, 6666, 6, 1182, 5204, 1182, 1157, 1182, 1182, 50223, 253, 5, 225, 1402, 654, 13164, 1672, 10, 27023, 1485, 19964, 5304, 710, 170, 5, 508, 5, 43787, 27, 318, 6653, 7376, 50209, 253, 4, 8224, 5, 3085, 5, 17, 20216, 50223, 612, 4708, 253, 413, 196, 8, 22477, 5, 635, 100, 5, 5423, 4, 95, 10, 28270, 7, 21251, 161, 9488, 5423, 4, 11950, 20944, 161, 50223, 86, 44748, 508, 5, 24090, 5, 50223, 196, 5, 20827, 132, 21737, 7, 713, 6309, 1584, 14370, 357, 3828, 39403, 607, 5423, 508, 5, 19068, 10313, 50209, 1508, 2659, 27, 50223, 1164, 668, 444, 50209, 1508, 2659, 27, 1054, 6909, 27, 112, 2334, 77, 864, 840, 5, 10044, 5, 1508, 2659, 4, 29897, 1672, 17998, 133, 2031, 7509, 2042, 18, 18512, 50223, 23711, 5304, 82, 1680, 5, 107, 332, 1973, 17, 20216, 1182, 411, 413, 196, 1182, 1182, 50189, 196, 4, 266, 1067, 429, 4, 196, 413, 50191, 7, 12264, 5, 113, 5, 46138, 20919, 50223, 4767, 40508, 508, 5, 704, 4228, 50209, 259, 4, 23, 5198, 26276, 6, 4728, 34454, 1182, 50189, 32092, 195, 36, 1182, 48870, 25177, 4767, 6666, 50223, 96, 31916, 50250, 50191, 5, 50223, 259, 5, 2095, 136, 299, 48, 11557, 13985, 29, 510, 2444, 6080, 18600, 1669, 1182, 50244, 4, 4, 315, 3063, 10740, 903, 21618, 2787, 378, 50250, 6, 48, 46023, 50223, 190, 23997, 18197, 7, 706, 18600, 8184, 5, 50223, 32903, 1182, 119, 1182, 50223, 4280, 71, 34345, 1182, 1182, 50223, 1514, 7956, 9, 11708, 7, 1785, 13907, 29, 1182, 3317, 5, 9192, 5, 1508, 2659, 18, 1270, 5, 828, 5, 1508, 2659, 1182, 1182, 50223, 32903, 1182, 150, 1182, 50223, 3206, 7956, 73, 1182, 1182, 50223, 253, 5, 3206, 7956, 73, 23, 17936, 14108, 34345, 24, 3181, 2747, 8, 9982, 5, 186, 5, 1680, 5, 119, 237, 1157, 10, 45, 50223, 929, 11315, 1182, 563, 4, 14761, 1182, 233, 50209, 105, 196, 50209, 16021, 1182, 649, 5, 1048, 5, 393, 119, 563, 10668, 4, 2341, 233, 1182, 1182, 50189, 7319, 68, 43337, 23796, 48843, 10401, 457, 50223, 71, 39682, 13105, 50191, 5, 1962, 32401, 24, 20517, 4139, 34345, 10, 23165, 29112, 50223, 290, 2136, 5870, 1314, 8, 8071, 508, 5, 704, 50209, 1508, 4135, 77, 864, 727, 5, 10044, 5, 1508, 4135, 5, 3206, 7956, 165, 9, 20913, 22516, 34543, 50223, 86, 8726, 15515, 1182, 50244, 50223, 253, 5, 9284, 1823, 45, 1493, 107, 563, 1508, 4, 2606, 1182, 49607, 14238, 27272, 8, 364, 16751, 1157, 50223, 196, 5, 9284, 1823, 45, 1493, 107, 563, 1508, 4, 2606, 1182, 49607, 14238, 27272, 18, 1270, 5, 9901, 5, 1508, 2659, 50223, 196, 5, 10107, 164, 21794, 8732, 38, 41799, 7509, 168, 10, 1253, 237, 7509, 116, 1157, 1182, 50189, 101, 5, 1048, 5, 40498, 1508, 2659, 50191, 5, 50223, 259, 5, 159, 265, 4, 13, 7509, 165, 10, 8, 49096, 832, 60, 28887, 2212, 5551, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ -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, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0, 77, 864, 840, 5, 10044, 5, 1508, 2659, 4, 29897, 1672, 17998, 133, 2031, 7509, 2042, 18, 18512, 50223, 23711, 5304, 82, 1680, 5, 107, 332, 1973, 17, 20216, 1182, 411, 413, 196, 1182, 1182, 50189, 196, 4, 266, 1067, 429, 4, 196, 413, 50191, 7, 12264, 5, 113, 5, 46138, 20919, 50223, 4767, 40508, 508, 5, 704, 4228, 50209, 259, 4, 23, 5198, 26276, 6, 4728, 34454, 1182, 50189, 32092, 195, 36, 1182, 48870, 25177, 4767, 6666, 50223, 96, 31916, 50250, 50191, 5, 50223, 259, 5, 2095, 136, 299, 48, 11557, 13985, 29, 510, 2444, 6080, 18600, 1669, 1182, 50244, 4, 4, 315, 3063, 10740, 903, 21618, 2787, 378, 50250, 6, 48, 46023, 50223, 190, 23997, 18197, 7, 706, 18600, 8184, 5, 50223, 32903, 1182, 119, 1182, 50223, 4280, 71, 34345, 1182, 1182, 50223, 1514, 7956, 9, 11708, 7, 1785, 13907, 29, 1182, 3317, 5, 9192, 5, 1508, 2659, 18, 1270, 5, 828, 5, 1508, 2659, 1182, 1182, 50223, 32903, 1182, 150, 1182, 50223, 3206, 7956, 73, 1182, 1182, 50223, 253, 5, 3206, 7956, 73, 23, 17936, 14108, 34345, 24, 3181, 2747, 8, 9982, 5, 186, 5, 1680, 5, 119, 237, 1157, 10, 45, 50223, 929, 11315, 1182, 563, 4, 14761, 1182, 233, 50209, 105, 196, 50209, 16021, 1182, 649, 5, 1048, 5, 393, 119, 563, 10668, 4, 2341, 233, 1182, 1182, 50189, 7319, 68, 43337, 23796, 48843, 10401, 457, 50223, 71, 39682, 13105, 50191, 5, 1962, 32401, 24, 20517, 4139, 34345, 10, 23165, 29112, 50223, 290, 2136, 5870, 1314, 8, 8071, 508, 5, 704, 50209, 1508, 4135, 77, 864, 727, 5, 10044, 5, 1508, 4135, 5, 3206, 7956, 165, 9, 20913, 22516, 34543, 50223, 86, 8726, 15515, 1182, 50244, 50223, 253, 5, 9284, 1823, 45, 1493, 107, 563, 1508, 4, 2606, 1182, 49607, 14238, 27272, 8, 364, 16751, 1157, 50223, 196, 5, 9284, 1823, 45, 1493, 107, 563, 1508, 4, 2606, 1182, 49607, 14238, 27272, 18, 1270, 5, 9901, 5, 1508, 2659, 50223, 196, 5, 10107, 164, 21794, 8732, 38, 41799, 7509, 168, 10, 1253, 237, 7509, 116, 1157, 1182, 50189, 101, 5, 1048, 5, 40498, 1508, 2659, 50191, 5, 50223, 259, 5, 159, 265, 4, 13, 7509, 165, 10, 8, 49096, 832, 60, 28887, 2212, 5551, 34911, 1708, 1955, 4, 29897, 1672, 55, 928, 50223, 15697, 16697, 120, 10957, 7, 19478, 1276, 32726, 6, 683, 29, 7509, 453, 18014, 19478, 28887, 6308, 50223, 379, 90, 148, 23, 2603, 9485, 176, 10957, 45, 1493, 119, 1182, 49607, 14238, 27272, 5, 34124, 44003, 19809, 10, 16795, 96, 18, 387, 27, 7086, 734, 3323, 50223, 201, 692, 12539, 8414, 7, 19478, 1276, 32726, 5, 50223, 32903, 1182, 207, 1182, 50223, 15424, 490, 73, 41324, 13259, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 9, 20913, 8764, 11317, 34345, 36, 7, 45300, 5204, 8, 2332, 60, 11009, 52, 50223, 1297, 10451, 221, 44052, 607, 5423, 508, 5, 119, 50209, 1508, 4135, 17, 3814, 17818, 687, 6, 5931, 8158, 50223, 36292, 515, 21504, 12550, 19300, 1733, 7, 1716, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0, 119, 1182, 50223, 4280, 71, 34345, 1182, 1182, 50223, 1514, 7956, 9, 11708, 7, 1785, 13907, 29, 1182, 3317, 5, 9192, 5, 1508, 2659, 18, 1270, 5, 828, 5, 1508, 2659, 1182, 1182, 50223, 32903, 1182, 150, 1182, 50223, 3206, 7956, 73, 1182, 1182, 50223, 253, 5, 3206, 7956, 73, 23, 17936, 14108, 34345, 24, 3181, 2747, 8, 9982, 5, 186, 5, 1680, 5, 119, 237, 1157, 10, 45, 50223, 929, 11315, 1182, 563, 4, 14761, 1182, 233, 50209, 105, 196, 50209, 16021, 1182, 649, 5, 1048, 5, 393, 119, 563, 10668, 4, 2341, 233, 1182, 1182, 50189, 7319, 68, 43337, 23796, 48843, 10401, 457, 50223, 71, 39682, 13105, 50191, 5, 1962, 32401, 24, 20517, 4139, 34345, 10, 23165, 29112, 50223, 290, 2136, 5870, 1314, 8, 8071, 508, 5, 704, 50209, 1508, 4135, 77, 864, 727, 5, 10044, 5, 1508, 4135, 5, 3206, 7956, 165, 9, 20913, 22516, 34543, 50223, 86, 8726, 15515, 1182, 50244, 50223, 253, 5, 9284, 1823, 45, 1493, 107, 563, 1508, 4, 2606, 1182, 49607, 14238, 27272, 8, 364, 16751, 1157, 50223, 196, 5, 9284, 1823, 45, 1493, 107, 563, 1508, 4, 2606, 1182, 49607, 14238, 27272, 18, 1270, 5, 9901, 5, 1508, 2659, 50223, 196, 5, 10107, 164, 21794, 8732, 38, 41799, 7509, 168, 10, 1253, 237, 7509, 116, 1157, 1182, 50189, 101, 5, 1048, 5, 40498, 1508, 2659, 50191, 5, 50223, 259, 5, 159, 265, 4, 13, 7509, 165, 10, 8, 49096, 832, 60, 28887, 2212, 5551, 34911, 1708, 1955, 4, 29897, 1672, 55, 928, 50223, 15697, 16697, 120, 10957, 7, 19478, 1276, 32726, 6, 683, 29, 7509, 453, 18014, 19478, 28887, 6308, 50223, 379, 90, 148, 23, 2603, 9485, 176, 10957, 45, 1493, 119, 1182, 49607, 14238, 27272, 5, 34124, 44003, 19809, 10, 16795, 96, 18, 387, 27, 7086, 734, 3323, 50223, 201, 692, 12539, 8414, 7, 19478, 1276, 32726, 5, 50223, 32903, 1182, 207, 1182, 50223, 15424, 490, 73, 41324, 13259, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 9, 20913, 8764, 11317, 34345, 36, 7, 45300, 5204, 8, 2332, 60, 11009, 52, 50223, 1297, 10451, 221, 44052, 607, 5423, 508, 5, 119, 50209, 1508, 4135, 17, 3814, 17818, 687, 6, 5931, 8158, 50223, 36292, 515, 21504, 12550, 19300, 1733, 7, 1716, 607, 5423, 8, 4083, 11009, 52, 50223, 1297, 10451, 168, 9820, 607, 5423, 508, 5, 446, 50209, 1508, 4135, 1182, 50189, 32092, 36, 1182, 48870, 25177, 41096, 474, 50250, 50191, 6, 8, 2332, 12, 38104, 50223, 1054, 14370, 357, 3828, 39403, 607, 5423, 4, 39, 3923, 998, 17280, 237, 1157, 6, 10, 102, 50223, 52, 702, 11396, 13546, 1073, 5, 3206, 7956, 165, 10, 222, 2933, 28, 1884, 1785, 15778, 7509, 168, 3003, 50223, 48627, 35206, 731, 306, 1212, 36457, 45, 19880, 1584, 14370, 357, 3828, 39403, 607, 50223, 24101, 86, 393, 12, 3799, 252, 3325, 5535, 16066, 10688, 6, 9696, 980, 2488, 34454, 50223, 71, 2560, 14614, 17172, 5, 46560, 3436, 8328, 3488, 7025, 1674, 8, 316, 19362, 28957, 50223, 6683, 401, 29897, 2875, 7, 14492, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ -100, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0, 29112, 50223, 290, 2136, 5870, 1314, 8, 8071, 508, 5, 704, 50209, 1508, 4135, 77, 864, 727, 5, 10044, 5, 1508, 4135, 5, 3206, 7956, 165, 9, 20913, 22516, 34543, 50223, 86, 8726, 15515, 1182, 50244, 50223, 253, 5, 9284, 1823, 45, 1493, 107, 563, 1508, 4, 2606, 1182, 49607, 14238, 27272, 8, 364, 16751, 1157, 50223, 196, 5, 9284, 1823, 45, 1493, 107, 563, 1508, 4, 2606, 1182, 49607, 14238, 27272, 18, 1270, 5, 9901, 5, 1508, 2659, 50223, 196, 5, 10107, 164, 21794, 8732, 38, 41799, 7509, 168, 10, 1253, 237, 7509, 116, 1157, 1182, 50189, 101, 5, 1048, 5, 40498, 1508, 2659, 50191, 5, 50223, 259, 5, 159, 265, 4, 13, 7509, 165, 10, 8, 49096, 832, 60, 28887, 2212, 5551, 34911, 1708, 1955, 4, 29897, 1672, 55, 928, 50223, 15697, 16697, 120, 10957, 7, 19478, 1276, 32726, 6, 683, 29, 7509, 453, 18014, 19478, 28887, 6308, 50223, 379, 90, 148, 23, 2603, 9485, 176, 10957, 45, 1493, 119, 1182, 49607, 14238, 27272, 5, 34124, 44003, 19809, 10, 16795, 96, 18, 387, 27, 7086, 734, 3323, 50223, 201, 692, 12539, 8414, 7, 19478, 1276, 32726, 5, 50223, 32903, 1182, 207, 1182, 50223, 15424, 490, 73, 41324, 13259, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 9, 20913, 8764, 11317, 34345, 36, 7, 45300, 5204, 8, 2332, 60, 11009, 52, 50223, 1297, 10451, 221, 44052, 607, 5423, 508, 5, 119, 50209, 1508, 4135, 17, 3814, 17818, 687, 6, 5931, 8158, 50223, 36292, 515, 21504, 12550, 19300, 1733, 7, 1716, 607, 5423, 8, 4083, 11009, 52, 50223, 1297, 10451, 168, 9820, 607, 5423, 508, 5, 446, 50209, 1508, 4135, 1182, 50189, 32092, 36, 1182, 48870, 25177, 41096, 474, 50250, 50191, 6, 8, 2332, 12, 38104, 50223, 1054, 14370, 357, 3828, 39403, 607, 5423, 4, 39, 3923, 998, 17280, 237, 1157, 6, 10, 102, 50223, 52, 702, 11396, 13546, 1073, 5, 3206, 7956, 165, 10, 222, 2933, 28, 1884, 1785, 15778, 7509, 168, 3003, 50223, 48627, 35206, 731, 306, 1212, 36457, 45, 19880, 1584, 14370, 357, 3828, 39403, 607, 50223, 24101, 86, 393, 12, 3799, 252, 3325, 5535, 16066, 10688, 6, 9696, 980, 2488, 34454, 50223, 71, 2560, 14614, 17172, 5, 46560, 3436, 8328, 3488, 7025, 1674, 8, 316, 19362, 28957, 50223, 6683, 401, 29897, 2875, 7, 14492, 29, 1157, 5, 50223, 196, 5, 3206, 7956, 165, 9, 20913, 38133, 25931, 8, 2185, 9982, 5, 207, 1004, 894, 5183, 5, 657, 50191, 24861, 5617, 18, 50223, 3410, 4, 668, 1502, 5, 50223, 259, 5, 3206, 7956, 165, 37, 10, 10260, 17998, 11668, 11317, 34345, 18, 108, 96, 31916, 4591, 6165, 110, 50223, 4767, 4753, 3608, 31087, 7663, 29897, 2875, 5, 50223, 328, 5, 3206, 7956, 165, 9, 20913, 15575, 8, 2327, 34454, 33920, 6, 5111, 6, 11619, 9982, 5, 207, 1680, 5, 564, 50223, 41096, 474, 508, 5, 580, 50209, 31955, 17, 2682, 553, 8, 4083, 24861, 508, 5, 528, 50209, 31955, 6, 24861, 508, 5, 2342, 50209, 2618, 5, 50223, 266, 5, 3206, 7956, 165, 9, 20913, 27808, 6, 28, 1884, 1785, 15778, 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 ]
[ -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, 29897, 1672, 55, 928, 50223, 15697, 16697, 120, 10957, 7, 19478, 1276, 32726, 6, 683, 29, 7509, 453, 18014, 19478, 28887, 6308, 50223, 379, 90, 148, 23, 2603, 9485, 176, 10957, 45, 1493, 119, 1182, 49607, 14238, 27272, 5, 34124, 44003, 19809, 10, 16795, 96, 18, 387, 27, 7086, 734, 3323, 50223, 201, 692, 12539, 8414, 7, 19478, 1276, 32726, 5, 50223, 32903, 1182, 207, 1182, 50223, 15424, 490, 73, 41324, 13259, 1182, 1182, 50223, 253, 5, 3206, 7956, 165, 9, 20913, 8764, 11317, 34345, 36, 7, 45300, 5204, 8, 2332, 60, 11009, 52, 50223, 1297, 10451, 221, 44052, 607, 5423, 508, 5, 119, 50209, 1508, 4135, 17, 3814, 17818, 687, 6, 5931, 8158, 50223, 36292, 515, 21504, 12550, 19300, 1733, 7, 1716, 607, 5423, 8, 4083, 11009, 52, 50223, 1297, 10451, 168, 9820, 607, 5423, 508, 5, 446, 50209, 1508, 4135, 1182, 50189, 32092, 36, 1182, 48870, 25177, 41096, 474, 50250, 50191, 6, 8, 2332, 12, 38104, 50223, 1054, 14370, 357, 3828, 39403, 607, 5423, 4, 39, 3923, 998, 17280, 237, 1157, 6, 10, 102, 50223, 52, 702, 11396, 13546, 1073, 5, 3206, 7956, 165, 10, 222, 2933, 28, 1884, 1785, 15778, 7509, 168, 3003, 50223, 48627, 35206, 731, 306, 1212, 36457, 45, 19880, 1584, 14370, 357, 3828, 39403, 607, 50223, 24101, 86, 393, 12, 3799, 252, 3325, 5535, 16066, 10688, 6, 9696, 980, 2488, 34454, 50223, 71, 2560, 14614, 17172, 5, 46560, 3436, 8328, 3488, 7025, 1674, 8, 316, 19362, 28957, 50223, 6683, 401, 29897, 2875, 7, 14492, 29, 1157, 5, 50223, 196, 5, 3206, 7956, 165, 9, 20913, 38133, 25931, 8, 2185, 9982, 5, 207, 1004, 894, 5183, 5, 657, 50191, 24861, 5617, 18, 50223, 3410, 4, 668, 1502, 5, 50223, 259, 5, 3206, 7956, 165, 37, 10, 10260, 17998, 11668, 11317, 34345, 18, 108, 96, 31916, 4591, 6165, 110, 50223, 4767, 4753, 3608, 31087, 7663, 29897, 2875, 5, 50223, 328, 5, 3206, 7956, 165, 9, 20913, 15575, 8, 2327, 34454, 33920, 6, 5111, 6, 11619, 9982, 5, 207, 1680, 5, 564, 50223, 41096, 474, 508, 5, 580, 50209, 31955, 17, 2682, 553, 8, 4083, 24861, 508, 5, 528, 50209, 31955, 6, 24861, 508, 5, 2342, 50209, 2618, 5, 50223, 266, 5, 3206, 7956, 165, 9, 20913, 27808, 6, 28, 1884, 1785, 15778, 7509, 168, 3334, 9335, 50223, 2348, 34915, 12253, 42441, 5304, 8, 2185, 1157, 705, 7, 6560, 9019, 530, 4, 95, 10, 50223, 4767, 87, 455, 34345, 5, 267, 1726, 1891, 48, 32453, 1854, 3251, 8, 7837, 3743, 1163, 891, 168, 1182, 48870, 25177, 386, 50250, 4, 97, 50223, 53, 320, 1251, 1247, 1950, 48, 543, 2287, 6344, 609, 2020, 6, 39980, 31095, 655, 2020, 3097, 134, 185, 13473, 8, 38189, 796, 351, 2502, 50223, 1105, 2247, 5, 46277, 240, 10538, 8, 2162, 22847, 1323, 11984, 6080, 14108, 34345, 5, 267, 1726, 1891, 50223, 218, 1965, 91, 25377, 6, 18883, 303, 1377, 2193, 34345, 6, 3199, 91, 12494, 930, 17463, 50223, 4741, 798, 5, 529, 9979, 34345, 10, 2933, 7509, 165, 9335, 6126, 6, 8882, 13494, 18, 50223, 147, 16390, 168, 2447, 2, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4083, 11009, 52, 50223, 1297, 10451, 168, 9820, 607, 5423, 508, 5, 446, 50209, 1508, 4135, 1182, 50189, 32092, 36, 1182, 48870, 25177, 41096, 474, 50250, 50191, 6, 8, 2332, 12, 38104, 50223, 1054, 14370, 357, 3828, 39403, 607, 5423, 4, 39, 3923, 998, 17280, 237, 1157, 6, 10, 102, 50223, 52, 702, 11396, 13546, 1073, 5, 3206, 7956, 165, 10, 222, 2933, 28, 1884, 1785, 15778, 7509, 168, 3003, 50223, 48627, 35206, 731, 306, 1212, 36457, 45, 19880, 1584, 14370, 357, 3828, 39403, 607, 50223, 24101, 86, 393, 12, 3799, 252, 3325, 5535, 16066, 10688, 6, 9696, 980, 2488, 34454, 50223, 71, 2560, 14614, 17172, 5, 46560, 3436, 8328, 3488, 7025, 1674, 8, 316, 19362, 28957, 50223, 6683, 401, 29897, 2875, 7, 14492, 29, 1157, 5, 50223, 196, 5, 3206, 7956, 165, 9, 20913, 38133, 25931, 8, 2185, 9982, 5, 207, 1004, 894, 5183, 5, 657, 50191, 24861, 5617, 18, 50223, 3410, 4, 668, 1502, 5, 50223, 259, 5, 3206, 7956, 165, 37, 10, 10260, 17998, 11668, 11317, 34345, 18, 108, 96, 31916, 4591, 6165, 110, 50223, 4767, 4753, 3608, 31087, 7663, 29897, 2875, 5, 50223, 328, 5, 3206, 7956, 165, 9, 20913, 15575, 8, 2327, 34454, 33920, 6, 5111, 6, 11619, 9982, 5, 207, 1680, 5, 564, 50223, 41096, 474, 508, 5, 580, 50209, 31955, 17, 2682, 553, 8, 4083, 24861, 508, 5, 528, 50209, 31955, 6, 24861, 508, 5, 2342, 50209, 2618, 5, 50223, 266, 5, 3206, 7956, 165, 9, 20913, 27808, 6, 28, 1884, 1785, 15778, 7509, 168, 3334, 9335, 50223, 2348, 34915, 12253, 42441, 5304, 8, 2185, 1157, 705, 7, 6560, 9019, 530, 4, 95, 10, 50223, 4767, 87, 455, 34345, 5, 267, 1726, 1891, 48, 32453, 1854, 3251, 8, 7837, 3743, 1163, 891, 168, 1182, 48870, 25177, 386, 50250, 4, 97, 50223, 53, 320, 1251, 1247, 1950, 48, 543, 2287, 6344, 609, 2020, 6, 39980, 31095, 655, 2020, 3097, 134, 185, 13473, 8, 38189, 796, 351, 2502, 50223, 1105, 2247, 5, 46277, 240, 10538, 8, 2162, 22847, 1323, 11984, 6080, 14108, 34345, 5, 267, 1726, 1891, 50223, 218, 1965, 91, 25377, 6, 18883, 303, 1377, 2193, 34345, 6, 3199, 91, 12494, 930, 17463, 50223, 4741, 798, 5, 529, 9979, 34345, 10, 2933, 7509, 165, 9335, 6126, 6, 8882, 13494, 18, 50223, 147, 16390, 168, 2447, 5, 46560, 3436, 3488, 7025, 1674, 8, 316, 19362, 28957, 928, 50223, 147, 1402, 654, 13164, 2875, 7, 14492, 29, 1157, 5, 50223, 444, 5, 3206, 7956, 165, 9, 20913, 899, 19642, 2827, 7, 25931, 617, 685, 147, 73, 6, 517, 1289, 73, 4, 3298, 2683, 50223, 71, 975, 73, 1651, 4, 2991, 6659, 4, 1036, 4627, 4, 46003, 4, 617, 685, 147, 73, 3147, 118, 4, 10314, 246, 4, 7716, 286, 12, 2682, 560, 4, 50223, 1210, 2635, 81, 6, 1322, 5367, 1350, 2778, 4, 28085, 1651, 4, 9440, 4, 23198, 798, 4, 42148, 449, 50223, 71, 3334, 27285, 34454, 188, 8, 20743, 5093, 1308, 2961, 1300, 4728, 5, 50223, 497, 5, 3206, 7956, 165, 10, 10260, 8365, 6208, 1458, 33, 7011, 33, 50209, 71, 11512, 2, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3206, 7956, 165, 9, 20913, 38133, 25931, 8, 2185, 9982, 5, 207, 1004, 894, 5183, 5, 657, 50191, 24861, 5617, 18, 50223, 3410, 4, 668, 1502, 5, 50223, 259, 5, 3206, 7956, 165, 37, 10, 10260, 17998, 11668, 11317, 34345, 18, 108, 96, 31916, 4591, 6165, 110, 50223, 4767, 4753, 3608, 31087, 7663, 29897, 2875, 5, 50223, 328, 5, 3206, 7956, 165, 9, 20913, 15575, 8, 2327, 34454, 33920, 6, 5111, 6, 11619, 9982, 5, 207, 1680, 5, 564, 50223, 41096, 474, 508, 5, 580, 50209, 31955, 17, 2682, 553, 8, 4083, 24861, 508, 5, 528, 50209, 31955, 6, 24861, 508, 5, 2342, 50209, 2618, 5, 50223, 266, 5, 3206, 7956, 165, 9, 20913, 27808, 6, 28, 1884, 1785, 15778, 7509, 168, 3334, 9335, 50223, 2348, 34915, 12253, 42441, 5304, 8, 2185, 1157, 705, 7, 6560, 9019, 530, 4, 95, 10, 50223, 4767, 87, 455, 34345, 5, 267, 1726, 1891, 48, 32453, 1854, 3251, 8, 7837, 3743, 1163, 891, 168, 1182, 48870, 25177, 386, 50250, 4, 97, 50223, 53, 320, 1251, 1247, 1950, 48, 543, 2287, 6344, 609, 2020, 6, 39980, 31095, 655, 2020, 3097, 134, 185, 13473, 8, 38189, 796, 351, 2502, 50223, 1105, 2247, 5, 46277, 240, 10538, 8, 2162, 22847, 1323, 11984, 6080, 14108, 34345, 5, 267, 1726, 1891, 50223, 218, 1965, 91, 25377, 6, 18883, 303, 1377, 2193, 34345, 6, 3199, 91, 12494, 930, 17463, 50223, 4741, 798, 5, 529, 9979, 34345, 10, 2933, 7509, 165, 9335, 6126, 6, 8882, 13494, 18, 50223, 147, 16390, 168, 2447, 5, 46560, 3436, 3488, 7025, 1674, 8, 316, 19362, 28957, 928, 50223, 147, 1402, 654, 13164, 2875, 7, 14492, 29, 1157, 5, 50223, 444, 5, 3206, 7956, 165, 9, 20913, 899, 19642, 2827, 7, 25931, 617, 685, 147, 73, 6, 517, 1289, 73, 4, 3298, 2683, 50223, 71, 975, 73, 1651, 4, 2991, 6659, 4, 1036, 4627, 4, 46003, 4, 617, 685, 147, 73, 3147, 118, 4, 10314, 246, 4, 7716, 286, 12, 2682, 560, 4, 50223, 1210, 2635, 81, 6, 1322, 5367, 1350, 2778, 4, 28085, 1651, 4, 9440, 4, 23198, 798, 4, 42148, 449, 50223, 71, 3334, 27285, 34454, 188, 8, 20743, 5093, 1308, 2961, 1300, 4728, 5, 50223, 497, 5, 3206, 7956, 165, 10, 10260, 8365, 6208, 1458, 33, 7011, 33, 50209, 71, 11512, 7, 9134, 51, 50223, 96, 31916, 36, 12, 32098, 8380, 221, 20069, 29897, 2875, 6, 7, 2101, 2183, 5, 1368, 50223, 96, 7956, 165, 6879, 1458, 33, 7011, 33, 50209, 71, 11512, 7, 9134, 51, 34345, 7, 9134, 51, 34345, 50223, 6247, 12837, 31087, 7663, 29897, 2875, 4, 10, 2933, 19276, 8882, 50223, 4767, 6666, 34345, 7, 2101, 2183, 18, 8215, 2447, 5, 46560, 3436, 3488, 7025, 1674, 50223, 190, 316, 19362, 28957, 928, 29897, 1672, 7, 14492, 29, 1157, 5, 50223, 528, 5, 3206, 7956, 165, 9, 20913, 11619, 41899, 2048, 1669, 2700, 8, 601, 9872, 18, 18600, 1669, 6, 12, 50223, 4540, 6231, 10598, 3657, 15409, 627, 20807, 635, 151, 902, 1421, 8, 265, 21799, 6, 7546, 116, 50223, 16629, 2853, 2936, 10463, 15, 1482, 1924, 5, 50223, 612, 2, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]