Search is not available for this dataset
input_ids
sequencelengths
512
512
attention_mask
sequencelengths
512
512
depths
sequencelengths
512
512
sibling_idxs
sequencelengths
512
512
[ 465, 2322, 203, 1070, 29947, 1188, 4705, 30, 2290, 81, 5043, 203, 7020, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 7781, 4064, 761, 28154, 203, 1793, 2156, 26, 500, 32, 983, 32, 2524, 26, 7020, 30, 330, 10229, 32, 2760, 2847, 619, 296, 44, 284, 12786, 280, 296, 32, 850, 346, 203, 1793, 2156, 26, 500, 32, 983, 32, 2524, 26, 7020, 30, 330, 23150, 940, 32, 2760, 2847, 619, 296, 44, 284, 5557, 5289, 940, 280, 296, 32, 850, 346, 203, 13966, 280, 428, 284, 330, 11539, 7148, 35, 32, 35, 32, 35, 370, 284, 330, 978, 29382, 7148, 35, 32, 39, 32, 36, 370, 284, 330, 978, 29382, 81, 380, 321, 46379, 7148, 34, 32, 37, 370, 284, 330, 978, 29382, 81, 2811, 15675, 7148, 36, 32, 35, 25, 203, 79, 203, 5522, 26, 426, 1057, 3073, 1349, 370, 397, 1503, 1057, 35, 32, 37, 32, 35, 370, 397, 3048, 1057, 51, 4559, 372, 6919, 322, 636, 432, 600, 31681, 556, 10769, 328, 322, 4707, 2234, 461, 2898, 6418, 397, 1946, 81, 2310, 47, 10229, 474, 3228, 96, 78, 96, 25, 474, 5557, 5289, 940, 30, 397, 43397, 6020, 291, 313, 23560, 6633, 2037, 4865, 392, 291, 313, 5936, 2037, 4354, 29382, 392, 291, 313, 8294, 2037, 13939, 2037, 624, 18906, 33, 5068, 392, 291, 313, 8294, 2037, 13939, 2037, 624, 18906, 33, 5068, 2037, 624, 9763, 59, 2037, 6687, 392, 291, 2505, 397, 4081, 1057, 69, 1871, 55, 1305, 370, 397, 4081, 81, 1935, 1057, 37269, 33913, 905, 50, 545, 1075, 315, 32, 1088, 370, 397, 1984, 1057, 525, 555, 2180, 32, 545, 1075, 315, 32, 1088, 370, 397, 16400, 1057, 1840, 3619, 29382, 3619, 94, 2612, 370, 397, 7599, 47, 1809, 81, 5043, 1026, 397, 2305, 81, 1320, 81, 605, 47, 1815, 30, 397, 8529, 81, 4770, 47, 2700, 30, 397, 2443, 81, 13966, 47, 13966, 30, 397, 3414, 81, 3953, 347, 1010, 78, 397, 428, 20437, 32, 725, 81, 5792, 79, 397, 2575, 280, 3352, 1349, 44, 1831, 397, 428, 4466, 81, 8121, 79, 397, 3352, 1349, 81, 944, 605, 47, 9452, 32, 944, 605, 44, 1831, 397, 3330, 392, 397, 829, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 0, 1, 1, 6, 10, 9, 10, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 4, 4, 1, 1, 1, 4, 4, 6, 7, 6, 0, 1, 1, 6, 10, 9, 10, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 4, 4, 1, 1, 1, 5, 5, 4, 4, 6, 7, 6, 0, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 5, 4, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 7, 6, 6, 9, 9, 9, 8, 5, 5, 6, 6, 3, 3, 3, 4, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 4, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 3, 3, 5, 5, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 3, 3, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 3, 3, 3, 0, 0, 0, 2, 1, 0, 4, 4, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 7, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 9, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 11, 1, 1, 1, 1, 2, 1, 1, 0, 0, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 17, 1, 1, 1, 1, 1, 1, 2, 1, 1, 19, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 21, 2, 1, 1, 1, 0, 0, 23, 2, 1, 1, 1, 0, 0, 25, 2, 1, 1, 1, 0, 0, 27, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 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 ]
[ 465, 2322, 203, 465, 5237, 203, 465, 29590, 203, 465, 4134, 203, 465, 35094, 203, 465, 31074, 203, 465, 316, 203, 465, 12870, 81, 5379, 203, 325, 2322, 32, 426, 610, 313, 1859, 563, 284, 1188, 1086, 32, 2958, 32, 3477, 32, 28950, 32, 2996, 782, 2459, 619, 617, 500, 203, 1824, 44, 284, 617, 500, 280, 5237, 32, 3477, 77, 500, 32, 426, 79, 203, 1270, 44, 284, 617, 761, 280, 803, 203, 7343, 3270, 924, 44, 284, 617, 761, 280, 1665, 203, 81, 1676, 280, 2156, 203, 1070, 1673, 2304, 32, 4275, 1188, 9306, 2304, 924, 203, 1070, 12870, 81, 5379, 1188, 4740, 81, 470, 203, 1070, 29947, 32, 8524, 1188, 49093, 30, 2299, 761, 203, 505, 464, 505, 280, 428, 284, 313, 5584, 16219, 392, 313, 4542, 16219, 392, 313, 16219, 28075, 392, 313, 1945, 81, 5522, 392, 203, 79, 203, 589, 1420, 81, 5522, 26, 5522, 81, 1423, 30, 2181, 711, 284, 3610, 81, 1515, 280, 2322, 32, 33115, 346, 284, 4131, 81, 6118, 280, 5237, 32, 6118, 31445, 284, 4131, 81, 983, 280, 5237, 32, 983, 31445, 284, 4705, 81, 1515, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 7781, 26, 5522, 81, 1423, 490, 284, 1779, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 5522, 81, 1515, 1947, 1433, 683, 284, 415, 646, 2322, 32, 983, 32, 34103, 26, 1433, 81, 1515, 711, 2322, 32, 27428, 26, 1433, 81, 1515, 27, 284, 4131, 81, 2868, 280, 29590, 32, 1433, 1515, 284, 4131, 81, 3477, 280, 5237, 32, 3477, 32, 2991, 346, 284, 1148, 81, 1293, 280, 12870, 81, 5379, 3667, 371, 1293, 16369, 284, 1596, 44, 291, 29590, 32, 1433, 1515, 280, 1779, 81, 1515, 291, 2322, 32, 31015, 26, 5522, 81, 1515, 27, 291, 1596, 44, 324, 5237, 32, 6118, 31445, 280, 428, 5522, 81, 1423, 6155, 668, 26, 1132, 27, 324, 5237, 32, 983, 32, 3215, 26, 34, 30, 4705, 81, 1515, 27, 324, 4740, 81, 470, 3667, 1664, 16369, 324, 4740, 81, 470, 32, 18931, 32, 1689, 26, 5962, 1673, 44, 2452, 32, 11432, 1157, 324, 10608, 16219, 26, 5522, 81, 1515, 547, 1945, 26, 400, 9254, 44, 2299, 761, 26, 528, 313, 5522, 32, 978, 392, 528, 5053, 505, 761, 14935, 5522, 81, 1423, 30, 11477, 426, 505, 11501, 505, 1831, 505, 6040, 400, 829, 324, 829, 291, 2940, 1171, 8112, 44, 324, 354, 280, 5237, 32, 14806, 81, 1338, 8532, 35, 79, 324, 415, 354, 32, 1132, 461, 354, 32, 1132, 77, 34, 2786, 400, 3636, 284, 8295, 44, 291, 12870, 81, 5379, 3667, 470, 1293, 3207, 777, 81, 1293, 27, 291, 5237, 32, 3477, 32, 1877, 26, 2853, 81, 3477, 27, 291, 3555, 81, 3477, 280, 428, 324, 2047, 81, 426, 436, 2047, 81, 426, 328, 5237, 32, 3477, 324, 415, 2047, 81, 426, 646, 328, 4131, 81, 3477, 324, 461, 646, 2047, 81, 426, 32, 15990, 463, 272, 31662, 11834, 291, 1481, 291, 1149, 26, 1110, 26, 3731, 32, 3477, 3667, 4025, 1094, 7642, 3555, 81, 3477, 490, 291, 2322, 32, 31015, 26, 1455, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 4, 2, 2, 4, 4, 1, 1, 3, 5, 6, 5, 6, 5, 6, 5, 6, 6, 6, 4, 4, 5, 1, 2, 2, 2, 2, 6, 5, 5, 7, 8, 6, 8, 7, 8, 6, 0, 1, 1, 1, 1, 5, 4, 4, 1, 2, 2, 3, 2, 2, 2, 6, 5, 5, 0, 3, 3, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 5, 2, 2, 5, 5, 4, 4, 6, 7, 5, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 9, 8, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 8, 8, 2, 2, 3, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 3, 7, 8, 7, 8, 8, 8, 7, 2, 2, 5, 5, 4, 4, 5, 6, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 2, 2, 3, 3, 3, 7, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 7, 8, 8, 8, 7, 4, 4, 5, 5, 5, 10, 11, 9, 8, 8, 11, 11, 11, 10, 11, 11, 12, 11, 6, 6, 10, 11, 9, 10, 9, 10, 9, 9, 10, 10, 9, 6, 6, 10, 10, 9, 10, 10, 6, 6, 11, 11, 10, 11, 9, 10, 9, 10, 10, 10, 13, 12, 13, 12, 6, 6, 11, 11, 12, 12, 12, 11, 10, 9, 9, 9, 10, 10, 12, 12, 12, 12, 14, 14, 14, 14, 12, 12, 16, 16, 16, 15, 15, 15, 13, 13, 16, 16, 16, 16, 16, 16, 16, 12, 12, 9, 9, 5, 5, 6, 7, 6, 6, 6, 9, 9, 12, 13, 13, 13, 12, 11, 10, 7, 7, 8, 10, 11, 9, 9, 11, 12, 10, 11, 10, 8, 8, 3, 3, 4, 4, 4, 9, 9, 8, 9, 9, 9, 9, 9, 9, 8, 5, 5, 9, 10, 8, 9, 8, 9, 9, 9, 8, 5, 5, 8, 8, 7, 7, 8, 8, 9, 9, 8, 9, 10, 10, 9, 9, 10, 11, 8, 8, 9, 12, 12, 11, 11, 11, 12, 12, 10, 10, 10, 11, 14, 14, 13, 14, 13, 15, 15, 15, 8, 8, 5, 5, 8, 10, 10, 13, 12, 13, 11, 12, 12, 12, 10, 11, 11, 10, 5, 5, 8, 9, 8, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 0, 0, 8, 8, 0, 2, 1, 1, 1, 2, 8, 8, 0, 0, 2, 0, 4, 0, 6, 0, 8, 8, 8, 1, 1, 2, 8, 4, 4, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 9, 9, 9, 9, 0, 0, 0, 9, 3, 3, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 0, 1, 2, 11, 11, 0, 0, 0, 12, 12, 0, 0, 12, 12, 0, 0, 0, 13, 13, 1, 2, 13, 13, 13, 13, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 15, 15, 1, 1, 2, 1, 1, 1, 2, 2, 2, 15, 15, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 5, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 9, 9, 9, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 1, 3, 3, 3, 0, 0, 0, 2, 2, 2, 1, 2, 2, 3, 3, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 9, 9, 3, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 3, 2, 2, 2, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 3, 3, 1, 2, 2, 0, 2, 1, 1, 1 ]
[ 465, 5237, 203, 465, 31074, 203, 5177, 37, 280, 5237, 32, 1648, 81, 1338, 2377, 308, 37, 21713, 203, 5177, 36, 280, 646, 19430, 37, 203, 325, 19430, 36, 44, 284, 1695, 800, 280, 1695, 800, 284, 1188, 1156, 14842, 505, 619, 49093, 284, 1188, 3383, 2825, 284, 645, 44524, 1188, 44524, 284, 18394, 2338, 280, 44524, 284, 3420, 81, 687, 280, 9254, 337, 44, 337, 32, 1298, 81, 687, 284, 3420, 81, 19981, 280, 9254, 337, 44, 337, 32, 1298, 81, 19981, 284, 3960, 81, 1298, 280, 9254, 337, 44, 337, 32, 449, 81, 1298, 284, 645, 4159, 2225, 15312, 1188, 636, 36, 687, 1493, 284, 1188, 1913, 1356, 284, 645, 3772, 5068, 2059, 1188, 4808, 2059, 284, 645, 7155, 5068, 2059, 1188, 7155, 5068, 29949, 284, 645, 3772, 5068, 2059, 1188, 3772, 5068, 29949, 284, 3850, 3028, 280, 9254, 337, 44, 337, 32, 40957, 346, 284, 1946, 81, 681, 280, 1946, 284, 1769, 891, 280, 5237, 32, 1449, 410, 284, 707, 1190, 100, 280, 707, 1190, 100, 284, 15390, 280, 15390, 284, 3519, 280, 596, 284, 645, 22045, 1188, 1984, 36, 20083, 30, 6122, 2142, 30, 29101, 36, 965, 284, 1188, 22045, 36, 284, 645, 22045, 36, 1188, 13380, 33786, 30, 4808, 924, 30, 28024, 43189, 30, 707, 7345, 30, 6122, 496, 284, 645, 1984, 2208, 1188, 1984, 2208, 30, 1984, 311, 2208, 30, 1984, 2524, 30, 1984, 2998, 30, 1984, 311, 2998, 284, 2761, 1870, 280, 31074, 32, 325, 1100, 1870, 284, 2299, 27265, 589, 540, 3002, 1125, 26, 491, 30, 786, 30, 15318, 47, 2521, 711, 284, 3636, 12867, 30, 786, 30, 15318, 41135, 203, 325, 19430, 37, 44, 284, 1695, 800, 280, 596, 284, 1188, 49093, 284, 1188, 1359, 3922, 619, 3383, 2825, 284, 645, 3363, 1188, 44524, 30, 18394, 2338, 284, 3420, 81, 687, 280, 9254, 337, 44, 337, 3667, 687, 505, 284, 3420, 81, 19981, 280, 9254, 337, 44, 337, 3667, 19981, 505, 284, 3960, 81, 1298, 280, 9254, 337, 44, 337, 3667, 1298, 505, 284, 645, 4159, 32, 9244, 1188, 636, 36, 687, 1493, 284, 1188, 1913, 32, 1580, 619, 1913, 1356, 284, 645, 1913, 32, 1786, 1188, 4808, 2059, 30, 7155, 5068, 29949, 284, 645, 1913, 32, 1786, 1188, 3772, 5068, 29949, 284, 3850, 3028, 280, 9254, 337, 44, 337, 32, 3028, 346, 284, 1946, 81, 681, 280, 629, 284, 1769, 891, 280, 5237, 32, 1449, 891, 284, 707, 1190, 100, 280, 21749, 284, 15390, 280, 596, 284, 3519, 280, 3519, 284, 645, 22045, 32, 731, 1188, 4808, 924, 30, 28024, 43189, 284, 1188, 22045, 32, 1357, 619, 22045, 36, 284, 645, 22045, 32, 1357, 1188, 13380, 33786, 30, 1984, 36, 20083, 30, 29101, 36, 965, 284, 645, 22045, 32, 2208, 1188, 308, 291, 1984, 2208, 30, 1984, 311, 2208, 30, 707, 7345, 30, 6122, 496, 30, 1984, 2524, 30, 1984, 2998, 30, 291, 1984, 311, 2998, 30, 6122, 2142, 30, 284, 829, 284, 2761, 1870, 280, 31074, 32, 2029, 1870, 284, 665, 540, 3002, 1125, 26, 491, 30, 786, 30, 15318, 47, 2521, 711, 291, 415, 786, 3667, 35382, 505, 438, 646 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 3, 3, 2, 2, 4, 5, 5, 5, 3, 3, 5, 4, 0, 3, 3, 2, 2, 3, 4, 0, 1, 1, 2, 1, 1, 1, 5, 4, 4, 5, 2, 2, 3, 6, 6, 4, 4, 2, 2, 3, 5, 2, 2, 3, 3, 3, 2, 2, 5, 4, 4, 2, 2, 5, 5, 4, 4, 5, 5, 5, 6, 7, 7, 7, 2, 2, 5, 5, 4, 4, 5, 5, 5, 6, 7, 7, 7, 2, 2, 5, 5, 4, 4, 5, 5, 5, 6, 7, 7, 7, 2, 2, 3, 5, 5, 3, 3, 5, 5, 5, 2, 2, 3, 5, 2, 2, 3, 5, 5, 3, 3, 5, 2, 2, 3, 5, 5, 3, 3, 5, 5, 2, 2, 3, 5, 5, 3, 3, 5, 5, 2, 2, 5, 4, 4, 5, 5, 5, 7, 8, 7, 2, 2, 5, 5, 4, 4, 2, 2, 5, 4, 4, 5, 6, 6, 2, 2, 5, 5, 4, 4, 5, 5, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 3, 3, 3, 5, 5, 3, 3, 5, 3, 3, 5, 5, 2, 2, 3, 5, 2, 2, 3, 5, 3, 3, 5, 3, 3, 5, 3, 3, 5, 3, 3, 5, 3, 3, 5, 2, 2, 3, 5, 3, 3, 5, 3, 3, 5, 5, 3, 3, 5, 3, 3, 5, 3, 3, 5, 5, 2, 2, 5, 4, 4, 5, 6, 6, 6, 2, 2, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 1, 1, 1, 5, 4, 4, 2, 2, 3, 2, 2, 3, 6, 4, 4, 5, 2, 2, 3, 3, 3, 3, 3, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 6, 7, 7, 2, 2, 5, 5, 4, 4, 5, 5, 5, 6, 7, 7, 2, 2, 5, 5, 4, 4, 5, 5, 5, 6, 7, 7, 2, 2, 3, 4, 5, 3, 3, 5, 5, 5, 2, 2, 3, 5, 6, 4, 4, 5, 2, 2, 3, 4, 5, 3, 3, 5, 3, 3, 5, 5, 2, 2, 3, 4, 5, 3, 3, 5, 5, 2, 2, 5, 4, 4, 5, 5, 5, 7, 8, 7, 2, 2, 5, 5, 4, 4, 2, 2, 5, 4, 4, 5, 6, 6, 2, 2, 5, 5, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 3, 4, 5, 3, 3, 5, 3, 3, 5, 2, 2, 3, 5, 6, 4, 4, 5, 2, 2, 3, 4, 5, 3, 3, 5, 3, 3, 5, 5, 3, 3, 5, 5, 2, 2, 3, 4, 5, 3, 3, 3, 3, 5, 3, 3, 5, 5, 3, 3, 5, 3, 3, 5, 3, 3, 5, 3, 3, 5, 3, 3, 3, 5, 5, 3, 3, 5, 3, 3, 3, 2, 2, 5, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 7, 8, 8, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 4, 4, 1, 4, 4, 4, 0, 0, 0, 2, 3, 3, 1, 0, 0, 1, 1, 3, 3, 2, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 2, 2, 2, 3, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 3, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 3, 2, 2, 2, 3, 3, 8, 0, 0, 8, 8, 0, 0, 0, 3, 3, 9, 0, 3, 3, 10, 0, 0, 10, 10, 0, 3, 3, 11, 0, 0, 11, 11, 0, 0, 3, 3, 12, 0, 0, 12, 12, 0, 0, 3, 3, 0, 0, 0, 2, 2, 2, 0, 2, 1, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 19, 19, 19, 0, 0, 19, 19, 0, 19, 19, 0, 0, 3, 3, 20, 0, 3, 3, 21, 0, 21, 21, 0, 21, 21, 0, 21, 21, 0, 21, 21, 0, 21, 21, 0, 3, 3, 22, 0, 22, 22, 0, 22, 22, 0, 0, 22, 22, 0, 22, 22, 0, 22, 22, 0, 0, 3, 3, 0, 0, 0, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 5, 5, 5, 0, 0, 0, 3, 3, 1, 3, 3, 2, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 2, 2, 2, 3, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 3, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 3, 2, 2, 3, 3, 7, 1, 2, 7, 7, 0, 0, 0, 3, 3, 8, 0, 2, 1, 1, 2, 3, 3, 9, 1, 2, 9, 9, 0, 9, 9, 0, 0, 3, 3, 10, 1, 2, 10, 10, 0, 0, 3, 3, 0, 0, 0, 2, 2, 2, 0, 2, 1, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 17, 1, 2, 17, 17, 0, 17, 17, 0, 3, 3, 18, 0, 2, 1, 1, 2, 3, 3, 19, 1, 2, 19, 19, 0, 19, 19, 0, 0, 19, 19, 0, 0, 3, 3, 20, 1, 2, 20, 20, 20, 20, 0, 20, 20, 0, 0, 20, 20, 0, 20, 20, 0, 20, 20, 0, 20, 20, 0, 20, 20, 20, 0, 0, 20, 20, 0, 20, 20, 20, 3, 3, 0, 0, 0, 2, 2, 2, 3, 3, 22, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 22, 22, 0, 0, 2, 2, 1, 1 ]
[ 465, 3497, 81, 7948, 81, 1174, 203, 465, 3497, 81, 7948, 81, 22962, 81, 9849, 203, 465, 3497, 81, 7948, 81, 7007, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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 ]
[ 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 505, 2116, 505, 280, 330, 1237, 32, 4685, 50, 2175, 32, 508, 308, 55, 3936, 551, 40895, 1588, 9905, 203, 465, 8566, 203, 465, 485, 605, 32, 9855, 203, 465, 485, 605, 32, 2122, 203, 823, 19256, 1183, 26, 89, 605, 32, 2122, 32, 57, 29254, 711, 334, 665, 1156, 1664, 3207, 784, 30, 4096, 47, 2521, 30, 3882, 47, 2521, 30, 1914, 47, 2521, 30, 3083, 793, 81, 90, 43, 81, 18138, 47, 2700, 30, 2145, 1057, 1499, 32, 2175, 32, 508, 370, 3083, 5388, 81, 5078, 47, 2521, 30, 1115, 5321, 711, 284, 2719, 280, 793, 81, 90, 43, 81, 18138, 461, 330, 1376, 15219, 25, 556, 330, 9855, 25, 284, 485, 605, 32, 2122, 32, 57, 29254, 3667, 1664, 3207, 291, 630, 30, 4096, 47, 1935, 30, 3882, 47, 2895, 30, 2719, 47, 2122, 30, 1914, 47, 1855, 30, 291, 2145, 47, 1786, 30, 5388, 81, 5078, 47, 12187, 81, 5078, 30, 1115, 5321, 27, 284, 630, 32, 6482, 280, 2933, 284, 630, 32, 539, 81, 90, 43, 81, 18138, 280, 793, 81, 90, 43, 81, 18138, 334, 665, 1156, 371, 81, 2122, 26, 784, 711, 284, 442, 630, 32, 539, 81, 90, 43, 81, 18138, 461, 330, 90, 43, 25, 556, 330, 9855, 25, 334, 665, 1390, 4290, 8357, 26, 784, 30, 2467, 47, 2521, 30, 6274, 81, 314, 47, 2521, 711, 284, 415, 2467, 438, 1665, 44, 397, 15443, 280, 6274, 81, 314, 461, 330, 1707, 25, 556, 330, 1536, 25, 397, 8210, 280, 19256, 4290, 1625, 26, 616, 2719, 47, 784, 3667, 371, 81, 2122, 1026, 15443, 47, 9886, 30, 616, 6274, 81, 314, 47, 3959, 81, 314, 547, 705, 5716, 346, 284, 4348, 6937, 26, 1217, 30, 19256, 4290, 1625, 711, 397, 8210, 280, 2467, 32, 705, 5716, 346, 284, 813, 44, 397, 8210, 280, 2467, 284, 442, 630, 32, 936, 8357, 26, 3423, 30, 17675, 47, 89, 605, 32, 9855, 32, 4290, 8357, 17725, 27, 334, 665, 1390, 4290, 720, 8357, 26, 784, 30, 2467, 47, 2521, 711, 284, 415, 646, 2467, 44, 397, 8210, 280, 19256, 4290, 720, 1625, 26, 2122, 47, 784, 3667, 371, 81, 2122, 4251, 705, 5716, 346, 284, 4348, 6937, 26, 1217, 30, 19256, 4290, 720, 1625, 711, 397, 8210, 280, 2467, 32, 705, 5716, 346, 284, 813, 44, 397, 8210, 280, 2467, 284, 442, 630, 32, 936, 8357, 26, 3423, 30, 17675, 47, 89, 605, 32, 9855, 32, 4290, 720, 8357, 17725, 27, 334, 665, 8571, 20378, 26, 784, 30, 5383, 30, 3361, 47, 2521, 30, 1795, 81, 681, 1057, 916, 370, 353, 281, 2446, 47, 2521, 30, 6274, 81, 314, 47, 2521, 711, 284, 415, 3361, 44, 397, 1795, 280, 8566, 32, 1777, 26, 1286, 81, 681, 47, 1286, 81, 681, 30, 1344, 47, 1548, 27, 284, 813, 44, 397, 1795, 280, 3361, 284, 3414, 280, 485, 605, 32, 57, 750, 2711, 26, 291, 1780, 47, 4149, 32, 3173, 26, 878, 47, 6250, 471, 1795, 47, 1286, 30, 291, 5016, 81, 7594, 6020, 4149, 32, 4814, 1308, 17725, 26, 1152, 100, 14829, 284, 15443, 280, 6274, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 2, 2, 5, 5, 4, 5, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 4, 6, 6, 6, 6, 6, 5, 6, 4, 4, 5, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 5, 6, 4, 4, 6, 4, 3, 3, 6, 6, 9, 9, 9, 9, 9, 8, 8, 10, 10, 10, 7, 7, 9, 9, 4, 4, 10, 9, 10, 8, 9, 9, 7, 8, 8, 7, 7, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 9, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 6, 6, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 11, 11, 10, 10, 12, 12, 9, 9, 11, 11, 6, 6, 8, 8, 12, 12, 12, 12, 12, 13, 16, 15, 16, 16, 16, 15, 12, 13, 14, 12, 12, 12, 14, 14, 13, 14, 14, 14, 12, 11, 11, 10, 5, 5, 6, 8, 9, 8, 8, 9, 9, 8, 6, 6, 9, 9, 11, 12, 12, 11, 5, 5, 6, 6, 6, 9, 9, 4, 4, 5, 7, 8, 8, 7, 8, 7, 7, 8, 11, 11, 10, 11, 9, 10, 10, 10, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 5, 5, 5, 8, 8, 12, 12, 12, 12, 14, 13, 16, 15, 16, 16, 16, 15, 11, 11, 10, 5, 5, 6, 8, 9, 8, 8, 9, 9, 9, 8, 6, 6, 9, 9, 11, 12, 12, 11, 5, 5, 6, 6, 6, 9, 9, 4, 4, 5, 7, 8, 8, 7, 8, 7, 7, 8, 11, 11, 10, 11, 9, 10, 10, 10, 10, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 6, 6, 5, 7, 7, 4, 4, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 5, 5, 5, 8, 8, 10, 11, 10, 12, 12, 12, 11, 12, 12, 12, 10, 10, 11, 12, 10, 5, 5, 6, 6, 6, 9, 9, 4, 4, 6, 6, 9, 8, 9, 9, 9, 8, 8, 8, 9, 12, 11, 12, 11, 13, 12, 13, 11, 8, 9, 10, 8, 8, 8, 10, 10, 9, 13, 12, 13, 13, 13, 12, 13, 13, 12, 4, 4, 6, 6, 9 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 3, 3, 0, 1, 2, 0, 4, 4, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 4, 4, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 2, 0, 0, 0, 0, 0, 9, 2, 2, 2, 11, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 13, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 4, 4, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 9, 2, 1, 1, 1, 11, 2, 1, 1, 0, 0, 13, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 3, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 2, 2, 1, 0, 0, 4, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 5, 5, 5, 0, 0, 4, 4, 1, 0, 2, 2, 1, 1, 1, 1, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 3, 3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 4, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 5, 5, 5, 0, 0, 4, 4, 1, 0, 2, 2, 1, 1, 1, 1, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 4, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 1, 2, 2, 2, 0, 9, 2, 2, 2, 0, 0, 11, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 0, 0, 5, 0, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0 ]
[ 465, 16198, 81, 9660, 203, 465, 12500, 32, 17449, 619, 5743, 203, 465, 7683, 297, 32, 1163, 203, 465, 7683, 297, 32, 11832, 203, 465, 7683, 297, 32, 3399, 619, 595, 6073, 203, 589, 617, 539, 81, 7010, 26, 9660, 711, 284, 442, 308, 291, 646, 9991, 32, 297, 81, 1003, 346, 291, 461, 646, 9991, 32, 297, 81, 1003, 81, 3576, 346, 291, 461, 2069, 26, 9660, 32, 7010, 27, 333, 2069, 26, 466, 26, 9660, 490, 284, 829, 203, 589, 617, 1311, 26, 15829, 81, 271, 81, 5685, 30, 623, 81, 9660, 711, 284, 415, 22349, 81, 271, 81, 5685, 438, 1665, 556, 6937, 26, 15829, 81, 271, 81, 5685, 30, 629, 711, 291, 1780, 280, 3330, 284, 813, 44, 291, 1780, 280, 22349, 81, 271, 81, 5685, 32, 426, 922, 3227, 14715, 392, 313, 18276, 34399, 346, 291, 9991, 280, 22349, 81, 271, 81, 5685, 32, 9660, 291, 415, 623, 81, 9660, 461, 646, 308, 324, 9991, 32, 297, 81, 6876, 346, 324, 556, 9991, 32, 297, 81, 1347, 81, 2243, 346, 324, 556, 9991, 610, 16198, 81, 9660, 32, 3010, 440, 35, 657, 291, 8063, 324, 415, 617, 539, 81, 7010, 26, 9660, 711, 400, 9991, 280, 9991, 32, 7010, 324, 1780, 1454, 313, 517, 16531, 1643, 26, 9660, 27, 284, 442, 1780, 203, 589, 617, 1172, 26, 15829, 30, 2926, 30, 1056, 47, 2521, 30, 310, 12732, 47, 36, 30, 16344, 47, 2521, 30, 17478, 47, 2521, 711, 284, 415, 17478, 438, 1665, 44, 291, 17478, 280, 5743, 32, 89, 1173, 346, 284, 17478, 32, 470, 81, 1311, 2176, 1311, 26, 15829, 30, 623, 81, 9660, 47, 2700, 490, 284, 415, 1056, 438, 646, 1665, 44, 291, 5171, 81, 11672, 280, 2926, 610, 7683, 297, 32, 11832, 32, 9864, 81, 4959, 291, 5697, 280, 5743, 32, 1489, 1632, 26, 324, 1056, 30, 14103, 347, 10630, 392, 5171, 11672, 47, 3887, 81, 11672, 291, 829, 291, 1401, 81, 3737, 81, 9660, 280, 646, 308, 324, 22349, 32, 9660, 32, 297, 81, 6876, 346, 556, 22349, 32, 9660, 32, 297, 81, 1347, 81, 2243, 346, 291, 829, 291, 415, 1401, 81, 3737, 81, 9660, 461, 22349, 32, 9660, 863, 16198, 81, 9660, 32, 3010, 440, 35, 10280, 324, 415, 617, 539, 81, 7010, 26, 15829, 32, 9660, 711, 400, 5697, 32, 470, 81, 1172, 26, 15829, 32, 9660, 32, 7010, 27, 324, 813, 44, 400, 5697, 32, 470, 81, 1172, 26, 15829, 32, 9660, 27, 291, 5697, 32, 648, 32, 10727, 81, 2132, 26, 1322, 47, 34, 27, 284, 415, 16344, 438, 1665, 44, 291, 6867, 81, 22321, 280, 595, 6073, 1114, 371, 81, 3399, 81, 22321, 26, 15829, 30, 2926, 30, 310, 12732, 27, 284, 813, 44, 291, 6867, 81, 22321, 280, 595, 6073, 1114, 371, 81, 3399, 81, 22321, 81, 2988, 81, 11832, 81, 8800, 318, 26, 324, 22349, 30, 16344, 30, 2926, 30, 310, 12732, 47, 1442, 16150, 291, 829, 284, 415, 310, 12732, 610, 225, 36, 44, 291, 415, 646, 595, 6073, 1114, 3374, 81, 3887, 81, 1110, 26, 3399, 81, 22321, 32, 11832, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 4, 3, 4, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 7, 9, 10, 10, 10, 9, 6, 6, 6, 7, 9, 10, 10, 10, 10, 10, 9, 5, 5, 5, 8, 10, 9, 10, 8, 6, 6, 8, 10, 10, 11, 10, 4, 4, 0, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 6, 6, 6, 6, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 6, 6, 3, 3, 6, 6, 3, 3, 4, 4, 4, 7, 7, 14, 14, 14, 14, 13, 14, 13, 12, 11, 13, 11, 13, 10, 9, 5, 5, 7, 7, 9, 9, 9, 9, 8, 9, 5, 5, 6, 8, 8, 7, 7, 8, 9, 9, 13, 14, 14, 14, 13, 11, 11, 11, 13, 14, 14, 14, 14, 14, 13, 10, 10, 10, 11, 11, 14, 14, 13, 14, 13, 15, 15, 9, 9, 6, 6, 8, 10, 10, 10, 10, 11, 10, 8, 8, 11, 11, 12, 13, 7, 7, 9, 9, 13, 13, 12, 11, 12, 11, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 2, 4, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 3, 6, 6, 8, 9, 9, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 8, 7, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 3, 3, 3, 7, 7, 6, 6, 7, 7, 10, 9, 10, 8, 9, 9, 9, 4, 4, 6, 6, 8, 9, 9, 8, 8, 8, 8, 8, 9, 11, 11, 8, 10, 9, 10, 10, 10, 8, 8, 4, 4, 7, 7, 7, 7, 6, 6, 7, 8, 8, 12, 13, 11, 12, 12, 12, 11, 9, 9, 12, 13, 11, 12, 12, 12, 12, 12, 11, 8, 8, 4, 4, 5, 7, 7, 7, 7, 6, 6, 8, 9, 7, 7, 10, 10, 9, 10, 9, 11, 11, 5, 5, 7, 9, 9, 9, 9, 11, 10, 11, 9, 7, 7, 11, 12, 12, 12, 11, 14, 13, 14, 12, 13, 11, 7, 7, 8, 8, 8, 12, 13, 13, 13, 12, 14, 13, 14, 12, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 3, 3, 3, 7, 7, 6, 6, 9, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 8, 9, 8, 3, 3, 4, 4, 4, 8, 8, 7, 7, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 10, 11, 11, 9, 9, 2, 2, 3, 5, 4, 4, 5, 3, 3, 3, 5, 6, 9, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 9, 10, 8 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 3, 3, 0, 1, 2, 0, 4, 4, 0, 0, 2, 1, 1, 2, 0, 5, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 6, 6, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 3, 3, 0, 0, 1, 1, 2, 1, 1, 1, 4, 4, 1, 0, 7, 7, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 7, 7, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 3, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 0, 5, 2, 2, 2, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 4, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 1, 3, 3, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 3, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 1, 3, 3, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 7, 2, 2, 1, 1, 4, 4, 4, 0, 1, 1, 2, 4, 4, 4, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1 ]
[ 465, 15798, 203, 1070, 13380, 34224, 32, 8524, 1188, 551, 203, 1070, 13380, 34224, 32, 11731, 1188, 596, 81, 1040, 203, 823, 27645, 3582, 1006, 26, 18986, 32, 7233, 711, 284, 665, 485, 6000, 26, 784, 30, 663, 30, 2910, 81, 655, 30, 2910, 81, 966, 711, 291, 663, 280, 551, 26, 380, 27, 291, 337, 30, 3400, 280, 596, 81, 1040, 32, 5460, 81, 658, 26, 380, 30, 34, 27, 291, 1201, 337, 379, 2832, 81, 655, 30, 313, 5424, 6069, 100, 2799, 6069, 100, 20, 904, 308, 97, 30, 2910, 81, 655, 27, 291, 1201, 3400, 379, 2832, 81, 966, 30, 313, 5424, 6069, 100, 2799, 6069, 100, 20, 904, 308, 966, 30, 2910, 81, 966, 27, 284, 665, 894, 35, 2263, 26, 784, 711, 291, 630, 32, 24736, 440, 360, 392, 16167, 440, 83, 2113, 225, 35, 27, 291, 630, 32, 24736, 5528, 3077, 34, 83, 392, 16167, 440, 49, 2113, 225, 35, 27, 3701, 665, 894, 36, 2263, 26, 784, 711, 291, 630, 32, 24736, 5528, 3077, 36, 392, 16167, 440, 49, 2113, 225, 35, 27, 4456, 630, 32, 24736, 5528, 3077, 34, 78, 106, 42, 34, 392, 16167, 440, 49, 2113, 225, 35, 27, 4456, 630, 32, 24736, 5528, 3077, 36, 78, 106, 42, 34, 392, 225, 34, 106, 42, 34, 30, 225, 36, 27, 291, 630, 32, 24736, 5528, 15744, 78, 13233, 392, 225, 34, 106, 41, 486, 30, 225, 36, 27, 284, 665, 894, 37, 2263, 26, 784, 711, 291, 630, 32, 24736, 5528, 2635, 34, 392, 16167, 440, 49, 2113, 225, 35, 27, 4456, 630, 32, 24736, 5528, 2635, 34, 78, 2925, 34, 392, 16167, 440, 49, 2113, 225, 35, 27, 4456, 630, 32, 24736, 5528, 2635, 34, 78, 106, 43, 34, 78, 106, 42, 34, 392, 16167, 440, 49, 2113, 225, 35, 27, 4456, 630, 32, 24736, 5528, 2635, 34, 78, 2925, 34, 78, 106, 42, 34, 392, 225, 34, 106, 42, 34, 34, 30, 225, 37, 27, 291, 630, 32, 24736, 5528, 13231, 78, 13233, 78, 13233, 392, 225, 34, 4210, 30, 225, 37, 27, 284, 665, 894, 38, 2263, 26, 784, 711, 291, 630, 32, 24736, 5528, 2072, 34, 392, 16167, 440, 49, 2113, 225, 35, 27, 4456, 630, 32, 24736, 5528, 2072, 34, 78, 106, 43, 34, 392, 16167, 440, 49, 2113, 225, 35, 27, 4456, 630, 32, 24736, 5528, 2072, 34, 78, 106, 43, 34, 78, 106, 42, 34, 392, 16167, 440, 49, 2113, 225, 35, 27, 4456, 630, 32, 24736, 5528, 2072, 34, 78, 106, 42, 34, 78, 106, 42, 34, 78, 106, 42, 34, 392, 16167, 440, 49, 2113, 225, 35, 27, 4456, 630, 32, 24736, 5528, 2072, 34, 78, 106, 43, 34, 78, 106, 42, 34, 78, 106, 42, 34, 392, 225, 34, 106, 35, 34, 34, 34, 34, 30, 225, 38, 27, 291, 630, 32, 24736, 5528, 2072, 37, 78, 13233, 78, 13233, 78, 13233, 392, 225, 34, 4210, 88, 30, 225, 38, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 8, 9, 8, 9, 8, 4, 4, 5, 6, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 7, 7, 8, 8, 7, 4, 4, 5, 6, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 7, 9, 11, 11, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 9, 9, 7, 9, 11, 11, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 10, 9, 7, 9, 11, 11, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 9, 7, 9, 11, 11, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 9, 7, 8, 8, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 9, 7, 8, 8, 8, 8, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 10, 9, 7, 9, 11, 11, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 9, 7, 9, 11, 11, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 7, 9, 11, 11, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 7, 8, 8, 8, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 9, 7, 8, 8, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 10, 9, 7, 9, 11, 11, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 9, 7, 9, 11, 11, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 7, 9, 11, 11, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 7, 9, 11, 11, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 9, 7, 8, 8, 8, 7, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 1, 4, 4, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 2, 3, 3, 2, 4, 4, 3, 1, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 2, 3, 3, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 5, 1, 4, 4, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 5, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 5, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 5, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 5, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 5, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 5, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 3, 3, 3, 3, 3, 1, 1, 5, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 3, 3, 1, 1, 5, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 5, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 5, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 1, 2, 1, 5, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 5, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2, 1, 3, 3, 3, 1, 1, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 6436, 203, 465, 12643, 619, 6121, 203, 1070, 20211, 32, 3378, 1188, 36257, 203, 1070, 20211, 32, 8216, 1188, 30843, 203, 1070, 20211, 32, 34745, 32, 45267, 81, 7741, 1188, 48453, 15401, 203, 1070, 20211, 32, 2304, 1188, 2065, 81, 2304, 203, 1070, 13134, 32, 1160, 81, 8319, 1188, 8184, 81, 695, 81, 5020, 203, 1070, 13134, 32, 1160, 81, 8319, 1188, 1224, 15483, 203, 1070, 13134, 32, 32370, 1188, 9286, 8770, 203, 1070, 13134, 32, 9247, 1188, 18475, 203, 465, 2322, 30, 5237, 203, 7389, 280, 225, 41, 203, 10337, 32, 3855, 32, 7389, 26, 7389, 27, 203, 605, 2976, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 21379, 463, 13356, 330, 605, 683, 203, 25063, 280, 6121, 32, 850, 81, 4700, 26, 500, 32, 983, 32, 2524, 26, 605, 2976, 30, 330, 29051, 32, 4700, 2847, 203, 5613, 280, 22000, 32, 2810, 203, 74, 280, 5890, 6894, 34, 44, 38, 997, 15315, 26, 1808, 27, 203, 75, 280, 5890, 6894, 38, 79, 203, 13023, 280, 9286, 8770, 346, 203, 13023, 32, 4698, 26, 75, 27, 203, 12596, 81, 75, 280, 15571, 32, 3792, 26, 75, 27, 203, 11215, 81, 107, 280, 2065, 81, 2304, 32, 452, 81, 30199, 26, 12596, 81, 75, 27, 203, 589, 22340, 81, 1160, 2262, 284, 1542, 280, 36257, 346, 284, 1542, 32, 669, 26, 20738, 26, 42, 30, 1509, 81, 3534, 47, 38, 30, 13226, 1057, 15159, 2847, 284, 1542, 32, 669, 26, 20738, 26, 37, 30, 13226, 1057, 28560, 2847, 284, 1542, 32, 6993, 26, 5410, 1057, 30199, 81, 10495, 20933, 370, 16302, 1057, 28619, 370, 8607, 11414, 15924, 3490, 284, 442, 1542, 203, 28978, 280, 48453, 15401, 26, 1832, 81, 3359, 47, 23469, 81, 1160, 30, 22530, 47, 36, 34, 34, 30, 5254, 81, 891, 47, 36, 34, 30, 9541, 47, 35, 27, 203, 93, 8673, 280, 1224, 15483, 26, 96, 81, 31495, 47, 35, 34, 30, 20564, 47, 1815, 30, 3995, 81, 1293, 47, 7389, 27, 203, 4295, 280, 8184, 81, 695, 81, 5020, 26, 28978, 30, 1593, 30, 11638, 81, 107, 30, 6677, 47, 93, 8673, 27, 203, 1216, 440, 26854, 44, 16125, 36, 88, 1784, 10027, 32, 36, 88, 1784, 4731, 904, 308, 4295, 32, 6009, 26536, 35, 34, 34, 30, 3276, 32, 1530, 26536, 35, 34, 34, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 3, 2, 2, 3, 0, 5, 4, 5, 3, 4, 3, 4, 3, 0, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 10, 4, 6, 6, 0, 3, 2, 2, 4, 5, 5, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 6, 6, 8, 8, 8, 8, 0, 3, 2, 2, 3, 4, 0, 3, 2, 2, 5, 7, 6, 7, 5, 5, 4, 5, 4, 0, 3, 2, 2, 3, 4, 3, 0, 3, 2, 2, 4, 4, 0, 4, 3, 4, 3, 4, 3, 0, 3, 3, 3, 2, 2, 4, 5, 4, 5, 4, 0, 3, 3, 3, 2, 2, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 6, 2, 2, 5, 6, 5, 7, 7, 8, 7, 7, 9, 9, 8, 9, 7, 7, 8, 10, 10, 2, 2, 5, 6, 5, 7, 7, 8, 7, 7, 8, 10, 10, 2, 2, 5, 6, 5, 7, 6, 8, 8, 8, 8, 8, 5, 6, 8, 8, 5, 6, 9, 9, 2, 2, 3, 0, 3, 2, 2, 4, 4, 6, 6, 6, 5, 6, 6, 6, 4, 4, 5, 6, 6, 6, 4, 4, 6, 6, 5, 6, 6, 4, 4, 5, 6, 4, 0, 3, 3, 2, 2, 4, 4, 6, 6, 6, 5, 6, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 6, 4, 0, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 9, 8, 9, 8, 7, 7, 7, 5, 5, 8, 9, 8, 7, 7, 7, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 6, 6, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 2, 2, 2, 7, 7, 0, 0, 8, 8, 1, 2, 8, 8, 0, 0, 9, 9, 1, 2, 9, 9, 0, 10, 10, 10, 10, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 4, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 4, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 22, 22, 1, 1, 2, 22, 22, 0, 0, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 5, 1, 2, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 2, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 4, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 1, 0, 0, 5, 2, 2, 1, 1, 7, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 316, 203, 465, 6436, 619, 2065, 203, 1070, 4527, 1188, 5776, 203, 751, 280, 5776, 32, 541, 32, 1338, 203, 823, 12259, 984, 26, 984, 711, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 630, 32, 2076, 284, 665, 1156, 1664, 3207, 784, 30, 3124, 711, 291, 630, 32, 2076, 280, 3124, 203, 823, 21812, 2825, 26, 1473, 711, 284, 443, 21812, 26, 1473, 711, 291, 665, 617, 2208, 26, 784, 30, 1628, 711, 324, 9710, 30, 706, 280, 316, 32, 2998, 26, 100, 25, 5769, 1628, 30, 1769, 2998, 47, 35, 27, 324, 706, 280, 706, 32, 7201, 346, 324, 415, 9710, 610, 330, 104, 950, 400, 706, 280, 1992, 26, 1808, 30, 706, 32, 2998, 1157, 400, 630, 1114, 12317, 32, 1689, 26, 2356, 32, 955, 26, 605, 30, 330, 88, 2847, 400, 442, 324, 415, 9710, 610, 330, 13130, 950, 400, 706, 280, 1992, 26, 1808, 30, 706, 32, 2998, 1157, 400, 630, 1114, 36309, 32, 1689, 26, 2356, 32, 955, 26, 605, 30, 330, 88, 2847, 400, 442, 324, 415, 9710, 610, 330, 88, 950, 400, 706, 280, 1992, 26, 5962, 309, 44, 309, 32, 2998, 3247, 1425, 706, 32, 2998, 1157, 400, 13228, 280, 1992, 26, 5962, 456, 44, 629, 26, 94, 77, 34, 5727, 706, 27, 400, 40027, 280, 1605, 400, 4302, 280, 1665, 38042, 436, 595, 30, 6092, 328, 10703, 26, 605, 711, 528, 415, 2069, 26, 5210, 27, 610, 225, 37, 44, 715, 1650, 280, 629, 26, 5210, 77, 36, 1130, 528, 813, 44, 715, 415, 4302, 438, 646, 1665, 44, 1014, 1650, 280, 2069, 26, 784, 1114, 36309, 27, 429, 225, 35, 715, 813, 44, 1014, 630, 32, 5136, 710, 38661, 40027, 785, 1454, 225, 35, 1014, 354, 280, 1992, 26, 5962, 594, 44, 630, 1114, 12317, 77, 92, 614, 13228, 27, 1014, 16540, 280, 308, 104, 77, 34, 79, 429, 354, 77, 35, 5727, 308, 104, 77, 34, 79, 429, 354, 77, 36, 1130, 1014, 4302, 280, 2065, 32, 10495, 2740, 24897, 27, 1014, 4302, 280, 4302, 517, 2065, 32, 20973, 32, 7927, 26, 4382, 27, 1014, 1650, 280, 2069, 26, 784, 1114, 36309, 27, 1014, 630, 1114, 36309, 32, 1689, 26, 4382, 27, 528, 40027, 32, 1689, 26, 1055, 27, 528, 38779, 2157, 280, 630, 1114, 104, 36, 13130, 32, 37329, 26, 12317, 77, 91, 614, 11544, 528, 38779, 2157, 32, 1689, 26, 1055, 27, 400, 630, 1114, 4917, 1454, 8529, 26, 12317, 30, 40027, 27, 400, 442, 324, 415, 9710, 610, 330, 101, 950, 400, 485, 280, 630, 1114, 45062, 6448, 35, 79, 400, 8851, 998, 280, 2069, 26, 784, 1114, 4917, 27, 400, 415, 706, 610, 330, 1719, 950, 528, 415, 2069, 26, 89, 27, 610, 225, 35, 44, 715, 630, 1114, 45062, 6448, 35, 79, 1454, 308, 1161, 998, 21713, 528, 442, 400, 415, 706, 610, 330, 267, 950, 528, 415, 2069, 26, 89, 27, 610, 225, 36, 44, 715, 630, 1114, 45062, 32, 1689, 1162, 1161, 998, 33702, 528, 442, 324, 415, 9710, 610, 330, 539, 1601, 94, 950, 400, 4550, 280, 9710, 30, 706 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 1, 4, 3, 3, 5, 6, 4, 5, 1, 2, 2, 3, 3, 4, 3, 2, 2, 4, 5, 5, 6, 5, 4, 4, 6, 7, 8, 3, 3, 4, 5, 5, 6, 5, 5, 5, 4, 4, 8, 9, 7, 7, 1, 2, 2, 3, 3, 4, 3, 2, 2, 4, 5, 6, 5, 4, 4, 6, 7, 7, 8, 7, 7, 7, 6, 6, 10, 10, 9, 9, 11, 12, 11, 13, 13, 13, 11, 11, 11, 13, 12, 13, 11, 7, 7, 9, 9, 11, 12, 11, 7, 7, 8, 9, 9, 11, 11, 8, 8, 11, 11, 13, 14, 13, 13, 15, 16, 15, 9, 9, 13, 14, 12, 13, 12, 15, 14, 15, 14, 15, 14, 14, 16, 16, 9, 9, 7, 7, 8, 9, 9, 11, 11, 8, 8, 11, 11, 13, 14, 13, 13, 15, 16, 15, 9, 9, 13, 14, 12, 13, 12, 15, 14, 15, 14, 15, 14, 14, 16, 16, 9, 9, 7, 7, 8, 9, 9, 11, 11, 8, 8, 11, 11, 13, 14, 14, 14, 14, 16, 17, 16, 18, 13, 15, 16, 15, 9, 9, 11, 11, 13, 14, 14, 14, 14, 16, 18, 17, 18, 17, 13, 13, 9, 9, 11, 11, 9, 9, 11, 11, 9, 9, 10, 11, 11, 10, 10, 12, 13, 12, 10, 10, 12, 15, 16, 15, 13, 13, 14, 12, 12, 12, 15, 15, 17, 19, 18, 19, 18, 12, 12, 13, 13, 13, 15, 16, 16, 16, 15, 15, 15, 18, 18, 21, 23, 22, 23, 21, 19, 19, 20, 15, 15, 16, 16, 16, 21, 22, 20, 22, 22, 22, 19, 19, 20, 17, 17, 19, 19, 21, 22, 22, 22, 22, 24, 25, 23, 24, 23, 21, 21, 17, 17, 19, 19, 24, 23, 24, 23, 22, 22, 23, 24, 23, 20, 24, 23, 24, 23, 22, 22, 23, 24, 23, 17, 17, 19, 19, 21, 22, 21, 23, 21, 17, 17, 19, 19, 20, 20, 23, 24, 22, 23, 22, 23, 22, 17, 17, 19, 19, 21, 23, 22, 23, 21, 17, 17, 21, 22, 20, 21, 20, 21, 20, 11, 11, 14, 15, 14, 15, 14, 11, 11, 14, 13, 13, 16, 17, 17, 17, 15, 16, 15, 17, 16, 17, 16, 15, 11, 11, 15, 14, 15, 14, 15, 14, 9, 9, 12, 13, 11, 11, 13, 14, 13, 13, 13, 9, 9, 7, 7, 8, 9, 9, 11, 11, 8, 8, 11, 11, 13, 14, 12, 14, 12, 9, 9, 12, 11, 11, 13, 15, 14, 15, 13, 9, 9, 10, 11, 11, 13, 13, 10, 10, 12, 15, 16, 15, 13, 13, 14, 12, 12, 12, 17, 18, 16, 18, 16, 15, 15, 17, 17, 16, 11, 11, 9, 9, 10, 11, 11, 13, 13, 10, 10, 12, 15, 16, 15, 13, 13, 14, 12, 12, 12, 17, 18, 16, 17, 16, 18, 18, 17, 11, 11, 7, 7, 8, 9, 9, 11, 11, 11, 11, 8, 8, 11, 11, 12, 12 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 5, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 3, 3, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 0, 2, 1, 3, 3, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 4, 1, 1, 4, 4, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 4, 4, 4, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 3, 2, 3, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 5, 5, 0, 0, 2, 1, 1, 1, 3, 3, 0, 2, 0, 0, 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 2, 1, 2, 3, 3, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 3, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 4, 4, 6, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 2, 2 ]
[ 465, 29346, 32, 1262, 32, 5134, 32, 7370, 81, 8231, 619, 7169, 81, 8231, 203, 823, 8554, 8536, 1917, 26, 7370, 81, 8231, 32, 6768, 8536, 711, 334, 665, 1156, 1664, 3207, 784, 30, 7169, 81, 8231, 101, 711, 284, 2599, 26, 6768, 8536, 1917, 30, 630, 14585, 1664, 16369, 284, 630, 1114, 85, 9579, 4421, 81, 7370, 81, 8231, 101, 280, 7169, 81, 8231, 101, 284, 630, 1114, 2480, 81, 8231, 280, 1665, 334, 665, 617, 2981, 6768, 8536, 26, 784, 711, 284, 442, 2354, 26, 291, 308, 106, 436, 816, 328, 630, 1114, 85, 9579, 4421, 81, 7370, 81, 8231, 101, 415, 816, 32, 4445, 8536, 6768, 6182, 291, 1665, 27, 334, 665, 5477, 8536, 6768, 26, 784, 711, 284, 442, 1560, 26, 784, 1114, 2981, 6768, 8536, 1157, 334, 665, 4793, 23006, 6768, 26, 784, 30, 5427, 711, 284, 630, 1114, 2480, 81, 8231, 280, 630, 1114, 2981, 6768, 8536, 346, 284, 1201, 630, 1114, 2480, 81, 8231, 30, 330, 2023, 3304, 9300, 4564, 284, 630, 1114, 2480, 81, 8231, 32, 2130, 23006, 6768, 26, 7128, 27, 334, 665, 12305, 23006, 6768, 26, 784, 711, 284, 1201, 630, 1114, 2480, 81, 8231, 30, 330, 2130, 23006, 6768, 346, 646, 3823, 4564, 284, 1596, 44, 397, 442, 630, 1114, 2480, 81, 8231, 32, 6495, 23006, 6768, 346, 284, 8295, 44, 397, 630, 1114, 2480, 81, 8231, 280, 1665, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 4, 3, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 9, 8, 9, 9, 9, 10, 11, 11, 11, 11, 11, 11, 11, 11, 8, 9, 11, 12, 12, 12, 11, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 10, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 5, 6, 7, 7, 7, 5, 5, 7, 7, 7, 7, 4, 4, 8, 9, 9, 9, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 5, 5, 7, 10, 11, 11, 11, 9, 10, 10, 10, 9, 5, 5, 6, 6, 6, 10, 11, 11, 11, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 4, 0, 6, 6, 6, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 3, 3, 3, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 3, 3, 3, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5237, 203, 465, 22045, 203, 465, 281, 5123, 203, 465, 1695, 40, 38, 203, 465, 2361, 203, 1070, 35094, 1188, 7360, 203, 465, 5167, 203, 505, 464, 505, 280, 2726, 3765, 81, 8094, 81, 8472, 370, 2607, 330, 1832, 81, 2388, 81, 965, 370, 2607, 330, 1832, 81, 6390, 81, 15194, 81, 2111, 370, 2607, 330, 1832, 81, 3560, 81, 1956, 81, 965, 370, 2607, 330, 2208, 81, 1260, 81, 1986, 370, 2607, 330, 2208, 81, 1217, 81, 800, 370, 2607, 330, 371, 81, 687, 81, 1070, 81, 965, 370, 2607, 330, 1357, 81, 15194, 81, 687, 683, 203, 3765, 81, 8094, 81, 8472, 280, 330, 525, 555, 5007, 44, 42, 42, 42, 42, 25, 203, 589, 1968, 81, 965, 26, 2035, 30, 1519, 30, 2467, 47, 2521, 711, 284, 2467, 280, 2467, 556, 2149, 284, 442, 1044, 15907, 34, 15117, 35, 37613, 109, 36, 16805, 1643, 26, 2035, 32, 38848, 3247, 1425, 768, 1519, 32, 94, 7201, 3247, 1425, 768, 22045, 32, 965, 4434, 26, 1217, 490, 203, 1832, 81, 2388, 81, 965, 280, 7360, 26, 1832, 81, 965, 30, 5895, 81, 8094, 81, 8472, 27, 203, 1832, 81, 22582, 81, 965, 280, 7360, 26, 1832, 81, 965, 30, 5895, 81, 8094, 81, 8472, 30, 3056, 22582, 683, 203, 1832, 81, 3560, 81, 1956, 81, 965, 280, 7360, 26, 1832, 81, 965, 30, 5895, 81, 8094, 81, 8472, 30, 3056, 3560, 31, 1956, 683, 203, 589, 3185, 81, 1260, 81, 1986, 26, 1986, 711, 284, 1201, 330, 3164, 33, 1260, 45, 8485, 47, 6261, 31, 42, 25, 610, 1789, 32, 5078, 710, 1286, 31, 681, 785, 284, 442, 2361, 32, 12474, 26, 1986, 32, 1286, 27, 203, 589, 3185, 81, 1217, 81, 800, 26, 965, 711, 284, 1984, 30, 2467, 81, 800, 280, 1984, 32, 2998, 463, 43841, 284, 2467, 280, 5436, 26, 10304, 32, 2208, 81, 99, 2003, 26, 1217, 81, 800, 490, 284, 442, 1984, 30, 2467, 203, 589, 622, 81, 687, 81, 1070, 81, 965, 26, 965, 711, 284, 5881, 15273, 600, 1984, 3217, 322, 330, 687, 25, 6272, 3395, 5881, 284, 2467, 280, 5436, 26, 10304, 32, 2208, 81, 99, 2003, 26, 965, 32, 2998, 463, 49, 11968, 35, 5259, 284, 442, 2467, 710, 687, 785, 203, 589, 1326, 81, 15194, 81, 687, 26, 1580, 81, 314, 1057, 35, 36, 37, 370, 7686, 5668, 81, 3423, 1057, 525, 555, 4383, 7831, 284, 5881, 44750, 312, 6272, 544, 322, 14017, 1326, 1984, 30, 38600, 436, 322, 3701, 5668, 461, 442, 322, 1340, 3943, 3701, 5881, 284, 1984, 280, 1968, 81, 22582, 81, 965, 14178, 1580, 81, 314, 950, 2043, 81, 314, 30, 7686, 330, 1986, 81, 681, 950, 330, 687, 370, 7686, 330, 7344, 81, 3423, 950, 5668, 81, 3423, 1748, 284, 5127, 280, 5167, 32, 371, 26, 965, 30, 2608, 81, 45116, 47, 2700, 27, 284, 1201, 225, 37, 34, 36, 610, 5127, 32, 1517, 81, 687, 284, 1340, 280, 622, 81, 687, 81, 1070, 81, 965, 26, 5243, 32, 5078, 710, 2924, 3490, 284, 442, 1340, 203, 589, 1968, 81, 6390, 81, 15194, 81, 2111 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 1, 1, 4, 4, 5, 5, 2, 2, 3, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 8, 7, 8, 7, 9, 5, 5, 7, 8, 8, 7, 9, 5, 5, 7, 8, 8, 7, 8, 7, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 7, 5, 7, 7, 7, 7, 2, 2, 3, 5, 6, 5, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 6, 6, 4, 4, 6, 7, 6, 8, 2, 2, 4, 4, 6, 9, 8, 9, 9, 9, 9, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 6, 9, 8, 9, 9, 9, 9, 8, 12, 11, 12, 11, 13, 13, 10, 9, 2, 2, 3, 4, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 3, 5, 5, 5, 5, 2, 2, 4, 4, 3, 5, 5, 5, 5, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 6, 6, 6, 6, 6, 10, 10, 10, 10, 8, 9, 9, 7, 7, 7, 10, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 10, 8, 9, 9, 7, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 8, 8, 7, 8, 6, 2, 2, 3, 5, 5, 5, 4, 4, 5, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 9, 8, 9, 7, 9, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 9, 9, 0, 0, 2, 2, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 1, 2, 0, 13, 13, 1, 1, 1, 1, 2, 1, 2, 13, 13, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 0, 1, 2, 1, 0, 14, 14, 1, 1, 1, 1, 2, 1, 2, 14, 14, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 4, 4, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 0, 15, 15, 1, 1, 1, 1, 1, 1, 2, 1, 2, 15, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 4, 4, 2, 1, 1, 2, 0, 16, 16, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 3, 1, 1, 1, 2, 16, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 4, 4, 3, 0, 0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 4, 4, 5, 0, 17, 17, 1, 1, 1, 1, 1, 1 ]
[ 465, 2322, 203, 823, 358, 17317, 352, 750, 44, 284, 665, 1156, 1664, 3207, 784, 30, 4921, 558, 711, 291, 630, 32, 4446, 280, 630, 32, 944, 8683, 26, 500, 32, 983, 32, 2524, 26, 1515, 558, 30, 313, 101, 17317, 352, 2131, 291, 630, 32, 468, 24712, 280, 28254, 4446, 563, 630, 32, 4446, 10589, 284, 665, 2454, 8683, 26, 784, 30, 11216, 711, 291, 5430, 280, 1605, 291, 623, 2156, 26, 10447, 30, 330, 100, 683, 619, 296, 44, 324, 436, 1628, 328, 296, 44, 400, 456, 280, 1628, 77, 928, 32, 1055, 17919, 657, 29, 35, 44, 997, 7201, 346, 38042, 5430, 32, 1689, 15520, 878, 563, 456, 1748, 291, 442, 5430, 284, 665, 622, 609, 24712, 26, 784, 711, 291, 442, 630, 32, 468, 24712, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 10, 10, 12, 12, 12, 12, 4, 4, 7, 8, 8, 6, 6, 11, 11, 9, 10, 11, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 4, 4, 5, 10, 11, 10, 10, 12, 12, 8, 8, 5, 5, 5, 7, 7, 7, 7, 7, 7, 10, 10, 13, 18, 17, 18, 17, 19, 15, 16, 14, 13, 13, 12, 8, 8, 11, 12, 11, 15, 15, 13, 12, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 3, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 3, 3, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 5, 5, 0, 2, 1, 1, 2, 1, 1, 4, 4, 2, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 505, 1902, 6746, 81, 1648, 505, 280, 330, 34, 32, 35, 32, 34, 25, 203, 505, 1237, 81, 1648, 505, 280, 330, 35, 25, 203, 465, 5741, 203, 465, 42191, 203, 1070, 42191, 32, 407, 1188, 30902, 203, 1070, 30902, 1188, 1487, 81, 3483, 203, 1070, 30902, 32, 494, 1188, 3523, 25830, 203, 1070, 409, 3149, 482, 32, 725, 32, 3378, 1188, 3772, 203, 1070, 409, 3149, 482, 32, 1163, 1188, 11014, 203, 1070, 409, 3149, 482, 32, 1356, 1188, 25652, 203, 823, 1513, 3149, 482, 44, 284, 665, 1156, 1664, 3207, 784, 30, 353, 2145, 1057, 2837, 370, 353, 3408, 1057, 34, 32, 34, 32, 34, 32, 34, 370, 353, 2601, 47, 42, 34, 42, 34, 30, 353, 3082, 81, 965, 1057, 14107, 555, 9502, 5566, 12454, 353, 3082, 81, 3474, 47, 2700, 30, 353, 316, 4554, 47, 2700, 30, 353, 4588, 47, 2700, 711, 291, 630, 32, 1786, 81, 681, 280, 2145, 291, 630, 32, 2035, 280, 3408, 291, 630, 32, 625, 280, 2601, 291, 630, 32, 268, 4554, 280, 316, 4554, 291, 630, 32, 2811, 280, 4588, 291, 630, 32, 1237, 81, 1648, 280, 1156, 1237, 81, 1648, 505, 291, 630, 32, 1902, 6746, 81, 1648, 280, 1156, 1902, 6746, 81, 1648, 505, 291, 630, 32, 725, 280, 42191, 32, 9034, 5531, 346, 291, 11014, 32, 5522, 81, 15753, 26, 784, 32, 725, 27, 291, 42191, 32, 2811, 26, 784, 32, 2811, 27, 291, 6863, 280, 1487, 81, 3483, 26, 1199, 81, 965, 30, 2248, 47, 1199, 81, 3474, 27, 291, 30902, 81, 2796, 280, 30902, 32, 4152, 26, 324, 6863, 30, 324, 3772, 32, 4519, 30, 324, 11659, 1057, 1199, 370, 324, 1487, 47, 1815, 30, 324, 4583, 47, 1815, 30, 324, 793, 81, 5321, 47, 2700, 291, 829, 291, 630, 32, 725, 32, 3789, 26, 41204, 81, 2796, 27, 291, 1487, 81, 2848, 280, 3523, 25830, 26, 2539, 47, 3483, 27, 291, 3523, 280, 1487, 81, 2848, 346, 291, 5741, 32, 1338, 463, 15375, 2483, 299, 322, 15932, 5045, 30865, 291, 25652, 32, 371, 81, 13806, 81, 4873, 26, 2848, 27, 291, 3523, 32, 2679, 346, 284, 477, 16099, 284, 665, 622, 81, 1648, 2262, 291, 442, 1156, 1902, 6746, 81, 1648, 505, 284, 477, 16099, 284, 665, 622, 81, 1237, 81, 1648, 2262, 291, 442, 1156, 1237, 81, 1648, 505, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 5, 7, 7, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 6, 6, 6, 6, 4, 4, 4, 6, 6, 5, 7, 7, 7, 7, 7, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 5, 6, 4, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 7, 4, 4, 6, 6, 8, 8, 8, 9, 9, 9, 8, 8, 9, 10, 10, 10, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 8, 8, 8, 8, 8, 9, 10, 8, 8, 8, 9, 11, 11, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 10, 10, 9, 10, 8, 8, 4, 4, 8, 9, 7, 8, 7, 8, 8, 8, 7, 4, 4, 7, 7, 6, 6, 8, 8, 10, 9, 10, 8, 4, 4, 6, 6, 8, 8, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 5, 5, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 0, 0, 1, 2, 1, 4, 7, 7, 0, 8, 8, 0, 0, 1, 2, 8, 8, 0, 9, 9, 0, 0, 1, 2, 9, 9, 0, 10, 10, 1, 1, 10, 10, 10, 0, 1, 1, 1, 2, 2, 2, 3, 1, 2, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 0, 0, 9, 1, 1, 1, 1, 1, 2, 2, 0, 0, 11, 2, 2, 2, 2, 0, 13, 2, 2, 2, 2, 15, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 5, 1, 2, 1, 1, 7, 2, 1, 1, 1, 9, 2, 1, 1, 1, 0, 0, 11, 2, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 3, 3, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 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 ]
[ 465, 5237, 203, 1070, 31863, 8524, 1188, 19430, 37, 81, 758, 81, 62, 18777, 203, 823, 9205, 1356, 984, 26, 984, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 711, 291, 3268, 3667, 1664, 3207, 784, 30, 319, 1132, 27, 284, 665, 1156, 13707, 3207, 784, 711, 291, 415, 19326, 26, 784, 30, 330, 1132, 683, 461, 2069, 26, 784, 32, 1132, 27, 848, 225, 34, 44, 324, 1474, 280, 630, 32, 1132, 77, 34, 79, 291, 813, 44, 324, 1474, 280, 4247, 291, 636, 280, 630, 3667, 823, 29215, 426, 505, 291, 442, 6611, 101, 78, 96, 23, 101, 78, 96, 23, 101, 78, 96, 23, 101, 25, 904, 308, 426, 30, 225, 41, 39, 319, 7610, 370, 1474, 30, 225, 41, 39, 319, 7610, 683, 284, 1156, 466, 505, 280, 1156, 13707, 505, 203, 823, 23624, 444, 984, 26, 3782, 1356, 984, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1474, 30, 2971, 411, 711, 291, 9205, 1356, 984, 3667, 1664, 3207, 784, 30, 1474, 30, 2971, 411, 27, 291, 630, 32, 1436, 280, 1474, 291, 630, 32, 19673, 280, 2971, 411, 203, 81, 3893, 81, 9387, 280, 5436, 346, 203, 589, 617, 4765, 81, 3893, 26, 3893, 30, 636, 47, 2521, 711, 284, 415, 636, 438, 1665, 44, 291, 636, 280, 3756, 3667, 426, 505, 284, 458, 81, 426, 280, 330, 3782, 1356, 23, 101, 25, 904, 636, 284, 415, 458, 81, 426, 328, 617, 3893, 81, 9387, 44, 291, 458, 81, 3893, 280, 617, 3893, 81, 9387, 77, 578, 81, 426, 79, 284, 813, 44, 291, 415, 3756, 438, 3268, 44, 324, 442, 9205, 1356, 984, 30, 458, 81, 426, 291, 1596, 44, 324, 458, 81, 3893, 280, 827, 26, 400, 458, 81, 426, 30, 308, 3782, 1356, 984, 30, 3756, 471, 12797, 324, 617, 3893, 81, 9387, 77, 578, 81, 426, 79, 280, 458, 81, 3893, 291, 2940, 12678, 44, 324, 458, 81, 3893, 280, 9205, 1356, 984, 284, 442, 458, 81, 3893, 30, 458, 81, 426, 203, 589, 617, 4765, 81, 2282, 81, 11452, 2262, 284, 3583, 280, 5436, 346, 284, 415, 19430, 37, 81, 758, 81, 62, 18777, 44, 291, 1188, 49093, 619, 617, 14842, 81, 11452, 291, 4942, 81, 11452, 280, 2761, 26, 324, 9254, 816, 44, 816, 32, 20643, 463, 924, 1425, 324, 4921, 2176, 14842, 81, 11452, 490, 284, 813, 44, 291, 1188, 14735, 619, 617, 14842, 81, 11452, 291, 4942, 81, 11452, 280, 4921, 2176, 14842, 81, 11452, 27, 284, 436, 636, 328, 4942, 81, 11452, 44, 291, 2830, 280, 18623, 2176, 14842, 81, 11452, 30, 636, 27, 291, 415, 6937, 26, 2067, 30, 827, 27, 461, 438, 39288, 26, 2067, 30, 3772, 984, 711, 324, 458, 81, 2067, 30, 458, 81, 426, 280, 617, 4765, 81, 3893, 26, 2067, 30, 636, 47, 426, 27, 324, 3583, 77, 578, 81, 426, 79, 280, 458, 81, 2067, 284, 442, 3583, 203, 22457, 922, 1877, 2176, 4765, 81, 2282, 81, 11452, 1157, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 7, 7, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 8, 8, 10, 10, 6, 6, 9, 11, 10, 11, 9, 7, 7, 8, 5, 5, 5, 8, 8, 10, 11, 9, 10, 9, 5, 5, 6, 6, 6, 9, 9, 4, 4, 6, 6, 8, 9, 9, 8, 8, 4, 4, 5, 8, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 8, 6, 6, 8, 7, 7, 9, 9, 8, 8, 10, 7, 7, 7, 9, 9, 8, 8, 10, 2, 2, 5, 5, 4, 4, 5, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 8, 8, 7, 8, 8, 8, 7, 7, 7, 7, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 0, 3, 3, 3, 3, 2, 2, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 3, 6, 6, 7, 8, 8, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 7, 5, 5, 2, 2, 3, 5, 5, 4, 4, 5, 5, 5, 3, 3, 3, 7, 7, 6, 6, 8, 8, 8, 7, 8, 8, 8, 7, 3, 3, 4, 4, 4, 6, 7, 7, 6, 6, 6, 8, 10, 10, 9, 9, 10, 10, 5, 5, 6, 6, 6, 10, 10, 9, 9, 11, 11, 11, 12, 12, 11, 11, 13, 13, 13, 12, 12, 12, 11, 7, 7, 11, 11, 11, 10, 11, 11, 11, 10, 9, 9, 10, 10, 6, 6, 7, 7, 7, 7, 11, 11, 10, 10, 11, 11, 2, 2, 3, 5, 5, 4, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 6, 6, 7, 7, 7, 4, 4, 7, 7, 6, 6, 8, 8, 8, 9, 9, 9, 11, 12, 11, 13, 13, 8, 8, 10, 11, 11, 11, 10, 3, 3, 4, 4, 4, 6, 7, 7, 8, 8, 8, 5, 5, 8, 8, 7, 7, 9, 10, 10, 10, 9, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 6, 6, 8, 9, 9, 9, 8, 8, 8, 4, 4, 5, 8, 9, 8, 8, 8, 6, 6, 8, 8, 9, 8, 8, 9, 8, 5, 5, 10, 10, 9, 9, 10, 10, 8, 8, 10, 10, 10, 10, 11, 10, 10, 11, 12, 10, 6, 6, 9, 10, 10, 10, 9, 8, 8, 9, 9, 2, 2, 3, 0, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 4, 4, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 3, 3, 2, 2, 2, 2, 0, 0, 7, 7, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 3, 3, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 5, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5, 5, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 5, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 3, 3, 3, 3, 0, 0, 0, 0, 2, 2, 4, 4, 3, 0, 0, 1, 1, 2, 2, 0, 6, 6, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 2, 2, 3, 3, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 3, 3, 0, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 3, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 10308, 81, 7734, 1188, 18151, 24268, 30, 45188, 5144, 81, 17819, 520, 30, 559, 418, 81, 17819, 520, 30, 559, 418, 203, 823, 551, 2371, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 8152, 21365, 280, 313, 84, 2371, 20, 203, 823, 551, 2371, 81, 70, 12063, 318, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 8152, 21365, 280, 313, 84, 2371, 81, 44357, 318, 20, 203, 823, 16548, 520, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1932, 81, 753, 30, 3100, 81, 753, 711, 291, 630, 32, 8152, 21365, 280, 313, 3463, 520, 16335, 101, 16335, 101, 20, 904, 308, 2232, 81, 753, 30, 3100, 81, 753, 27, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 5461, 101, 20, 904, 630, 32, 8152, 21365, 203, 823, 475, 2371, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 8152, 21365, 280, 313, 1804, 90, 20, 203, 9441, 4156, 280, 301, 284, 313, 84, 2371, 563, 551, 2371, 30, 284, 313, 3463, 520, 563, 16548, 520, 30, 284, 313, 1804, 90, 563, 475, 2371, 203, 111, 203, 823, 2108, 17819, 520, 26, 23719, 5144, 81, 17819, 520, 711, 284, 665, 27122, 26, 784, 711, 291, 10308, 4156, 1365, 84, 2371, 1446, 280, 551, 2371, 81, 70, 12063, 318, 284, 665, 5406, 12063, 26, 784, 711, 291, 10308, 4156, 1365, 84, 2371, 1446, 280, 551, 2371, 284, 665, 1459, 81, 2811, 26, 784, 30, 1474, 711, 291, 1459, 1474, 284, 665, 1156, 1664, 3207, 784, 30, 636, 711, 291, 2599, 26, 1006, 17819, 520, 30, 630, 14585, 1664, 3207, 426, 27, 291, 630, 32, 33436, 280, 301, 324, 313, 44357, 563, 630, 32, 44357, 30, 324, 313, 574, 12063, 563, 630, 32, 574, 12063, 30, 324, 313, 1216, 563, 630, 32, 1216, 81, 2811, 291, 320, 203, 38420, 280, 18151, 24268, 26, 1006, 17819, 520, 30, 10308, 4156, 30, 559, 418, 463, 1831, 24365, 1425, 559, 418, 81, 17819, 520, 27, 203, 858, 10878, 280, 5881, 203, 21, 12379, 1628, 5093, 203, 589, 26045, 301, 284, 485, 604, 44, 323, 2371, 284, 12098, 2317, 44, 6518, 520, 225, 38, 28, 42, 30, 313, 83, 20, 203, 1255, 1257, 46861, 5093, 544, 1591, 1628, 569, 203, 1109, 6959, 1628, 5093, 10160, 5430, 664, 372, 1930, 3654, 2953, 1389, 569, 203, 589, 13296, 520, 29673, 1708, 107, 301, 284, 638, 44357, 284, 323, 2371, 284, 638, 574, 12063, 284, 638, 1216, 313, 383, 322, 11906, 270, 20, 284, 323, 2371, 284, 343, 2371, 588, 3982, 1628, 5093, 2685, 4660, 284, 638, 44357, 203, 1255, 203, 21, 2725, 4013, 322, 26045, 1179, 203, 589, 26045, 203, 109, 284, 588, 10921, 1182, 1829, 10591, 436, 322, 26045, 284, 323, 2371, 203, 1255, 203, 589, 13296, 520, 29673, 917, 107, 301, 284, 323, 2371, 203, 1255, 203, 589, 13296, 520, 13843, 265, 308, 1632, 293, 203, 9592, 203, 38420, 32, 35320, 26, 858, 10878, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 8, 8, 9, 9, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 6, 6, 7, 8, 8, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 8, 8, 8, 0, 3, 3, 2, 2, 3, 3, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 4, 5, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 8, 7, 9, 9, 9, 6, 6, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 8, 7, 9, 9, 9, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 7, 7, 10, 10, 8, 9, 10, 7, 7, 7, 10, 10, 10, 8, 9, 10, 10, 7, 7, 7, 10, 10, 8, 9, 10, 10, 10, 7, 7, 0, 3, 2, 2, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 6, 6, 8, 8, 8, 4, 5, 5, 5, 5, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 3, 4, 3, 4, 4, 3, 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, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 1, 1, 2, 5, 2, 2, 2, 0, 6, 6, 1, 1, 2, 1, 1, 1, 1, 1, 2, 6, 6, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 4, 4, 3, 1, 1, 1, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 1, 2, 1, 7, 7, 7, 7, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 34856, 32, 13261, 1188, 11229, 203, 1070, 34856, 32, 13261, 32, 9582, 1188, 3363, 81, 4156, 203, 1070, 34856, 1188, 894, 203, 1070, 34856, 32, 4882, 32, 2243, 32, 13261, 1188, 296, 4062, 203, 823, 13870, 11196, 3122, 1799, 265, 7233, 26, 858, 32, 2023, 1996, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 12090, 11196, 3122, 1799, 265, 7233, 30, 630, 547, 23741, 346, 291, 630, 32, 3292, 81, 4531, 280, 11229, 32, 3663, 7583, 1972, 346, 291, 630, 32, 1376, 1799, 483, 280, 428, 716, 81, 4156, 32, 12090, 11196, 3122, 1799, 265, 7662, 284, 665, 617, 371, 81, 1376, 365, 2034, 81, 2035, 26, 784, 30, 17758, 30, 3363, 81, 4156, 81, 3292, 81, 36520, 711, 291, 415, 3363, 81, 4156, 81, 3292, 81, 36520, 438, 646, 1665, 44, 324, 630, 32, 4545, 26, 716, 81, 4156, 81, 3292, 81, 36520, 47, 716, 81, 4156, 81, 3292, 81, 36520, 27, 291, 442, 630, 32, 3292, 81, 4531, 32, 371, 81, 1376, 365, 2034, 81, 5740, 26, 784, 32, 1376, 1799, 483, 30, 22622, 17758, 30, 12797, 77, 34, 79, 284, 665, 617, 371, 81, 464, 81, 15934, 26, 784, 711, 291, 3408, 81, 2810, 280, 428, 324, 2726, 2035, 35, 370, 330, 1251, 35, 370, 5053, 1516, 81, 716, 81, 4156, 950, 225, 35, 13431, 324, 2726, 2035, 36, 370, 330, 1251, 36, 370, 5053, 1516, 81, 716, 81, 4156, 950, 225, 36, 13431, 324, 2726, 2035, 37, 370, 330, 1251, 37, 370, 5053, 1516, 81, 716, 81, 4156, 950, 225, 34, 13431, 324, 2726, 2035, 38, 370, 330, 1251, 38, 370, 5053, 1516, 81, 716, 81, 4156, 950, 225, 38, 1748, 291, 1481, 291, 442, 428, 88, 4062, 32, 13190, 3663, 1078, 26, 2035, 30, 1541, 30, 2078, 27, 400, 436, 3408, 30, 1541, 30, 2078, 328, 3408, 81, 2810, 79, 284, 665, 617, 1409, 81, 858, 26, 784, 30, 3363, 81, 4156, 81, 3292, 81, 36520, 30, 2799, 81, 3292, 30, 353, 2799, 81, 2035, 711, 291, 3408, 1338, 81, 668, 280, 630, 1114, 371, 81, 464, 81, 15934, 346, 291, 996, 365, 2034, 81, 2035, 280, 630, 1114, 371, 81, 1376, 365, 2034, 81, 2035, 26, 2035, 1338, 81, 668, 30, 13588, 3363, 81, 4156, 81, 3292, 81, 36520, 27, 291, 630, 32, 5299, 26, 1376, 365, 2034, 81, 2035, 32, 3292, 30, 2799, 81, 3292, 27, 291, 415, 2799, 81, 2035, 44, 324, 630, 32, 5299, 26, 1376, 365, 2034, 81, 2035, 32, 2067, 32, 2035, 30, 2799, 81, 2035, 27, 284, 665, 894, 81, 716, 81, 4156, 81, 3292, 81, 36520, 81, 1170, 81, 1536, 26, 784, 711, 291, 630, 1114, 1409, 81, 858, 26, 716, 81, 4156, 81, 3292, 81, 36520, 47, 2521, 30, 2855, 2799, 81, 3292, 47, 34, 32, 34, 30, 2855, 2799, 81, 2035, 1057, 2035, 37, 683, 284, 665, 894, 81, 716, 81, 4156, 81, 3292, 81, 36520, 81, 6158, 81, 853, 26, 784, 711, 291, 630, 1114, 1409, 81, 858, 26, 716, 81, 4156, 81, 3292, 81, 36520, 47, 34, 32, 34, 30, 2855 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 11, 11, 9, 4, 4, 5, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 8, 8, 8, 8, 6, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 10, 10, 10, 8, 10, 10, 10, 8, 12, 12, 12, 12, 12, 12, 10, 11, 9, 7, 7, 10, 10, 10, 8, 10, 10, 10, 8, 12, 12, 12, 12, 12, 12, 10, 11, 9, 7, 7, 10, 10, 10, 8, 10, 10, 10, 8, 12, 12, 12, 12, 12, 12, 10, 11, 9, 7, 7, 10, 10, 10, 8, 10, 10, 10, 8, 12, 12, 12, 12, 12, 12, 10, 11, 9, 7, 7, 4, 4, 5, 9, 9, 8, 9, 9, 9, 8, 9, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 7, 7, 8, 8, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 8, 9, 7, 7, 8, 8, 7, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 11, 12, 10, 11, 9, 9, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 8, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 9, 9, 8, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 7, 7 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 4, 4, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 2, 2, 1, 1, 2, 3, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 1, 2, 5, 2, 2, 1, 1, 2, 5, 1, 1, 2, 5, 1, 1, 1, 1, 1, 2, 1, 2, 5, 2, 2, 1, 1, 2, 7, 1, 1, 2, 7, 1, 1, 1, 1, 1, 2, 1, 2, 5, 2, 2, 4, 4, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 3, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 2, 2, 2, 7, 7, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 3, 1, 1, 3, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 3, 3, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1 ]
[ 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 1188, 273, 38200, 32, 716, 5837, 284, 1188, 273, 38200, 32, 1840, 284, 1188, 22045, 284, 443, 6688, 1972, 26, 102, 38200, 32, 1840, 32, 29949, 711, 291, 665, 622, 26, 784, 30, 2074, 711, 324, 1596, 44, 400, 623, 2156, 3247, 2868, 9708, 101, 31, 14550, 25, 904, 2074, 30, 330, 4506, 683, 619, 296, 44, 528, 14755, 280, 296, 32, 850, 922, 7201, 346, 528, 310, 280, 629, 26, 14550, 32, 7201, 15339, 2847, 528, 415, 310, 2377, 225, 42, 34, 44, 715, 1963, 280, 330, 28866, 6555, 25, 528, 813, 44, 715, 1963, 280, 330, 14970, 25, 528, 630, 32, 7344, 39109, 641, 555, 1275, 32, 9992, 32, 716, 33, 7150, 7404, 9111, 330, 14550, 9299, 101, 9299, 101, 32, 3672, 25, 9111, 26652, 1621, 47, 6849, 683, 904, 6619, 308, 39362, 32, 7345, 26, 14550, 471, 1963, 490, 324, 2940, 45338, 44, 400, 3636, 273, 38200, 32, 1840, 32, 39145, 26, 38, 34, 38, 27, 284, 3022, 280, 273, 38200, 32, 1840, 32, 2727, 2009, 291, 308, 100, 9663, 2009, 83, 31, 15188, 31, 76, 34, 31, 43, 11466, 81, 6155, 5715, 6688, 1972, 471, 284, 8834, 284, 415, 1156, 426, 505, 610, 9602, 1831, 18018, 291, 3022, 32, 12220, 26, 42, 42, 42, 42, 30, 2965, 1057, 35, 36, 41, 32, 34, 32, 34, 32, 35, 683, 291, 273, 38200, 32, 716, 5837, 32, 59, 1752, 41540, 32, 2386, 922, 1366, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 5, 4, 5, 5, 2, 2, 3, 5, 4, 5, 2, 2, 3, 2, 2, 3, 4, 4, 7, 7, 6, 7, 5, 6, 4, 3, 3, 5, 6, 7, 6, 6, 6, 5, 5, 7, 7, 7, 9, 14, 17, 17, 17, 17, 17, 17, 15, 15, 14, 14, 16, 16, 12, 12, 9, 9, 9, 12, 12, 16, 17, 16, 15, 14, 10, 10, 12, 12, 14, 17, 16, 17, 16, 18, 10, 10, 11, 12, 12, 13, 13, 11, 11, 11, 14, 14, 16, 16, 16, 11, 11, 12, 12, 12, 15, 15, 17, 17, 10, 10, 13, 14, 13, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 16, 16, 18, 18, 18, 18, 18, 18, 18, 18, 16, 16, 18, 18, 18, 18, 14, 14, 14, 18, 17, 18, 17, 18, 17, 15, 15, 7, 7, 8, 8, 8, 8, 10, 14, 13, 14, 12, 13, 12, 13, 13, 13, 12, 2, 2, 4, 4, 8, 7, 8, 6, 7, 6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 8, 7, 7, 2, 2, 3, 5, 5, 4, 4, 6, 6, 3, 3, 7, 8, 7, 8, 8, 8, 8, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 12, 11, 12, 12, 10, 11, 11, 11, 9, 10, 9, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 3, 3, 1, 0, 1, 2, 3, 3, 2, 3, 3, 3, 1, 2, 0, 0, 0, 2, 1, 2, 2, 3, 3, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 3, 3, 0, 0, 1, 0, 0, 2, 1, 2, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 4, 4, 4, 0, 0, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 5, 0, 0, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 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 ]
[ 505, 2116, 505, 280, 330, 92, 32, 101, 50, 2175, 32, 508, 308, 60, 8643, 6906, 836, 493, 9905, 203, 1070, 9270, 32, 48906, 32, 407, 1188, 3082, 203, 1070, 9270, 32, 48906, 32, 1237, 1188, 2349, 2613, 203, 823, 6512, 26, 1199, 32, 1243, 711, 334, 273, 280, 3082, 32, 10406, 1653, 346, 203, 589, 622, 81, 1956, 26, 5665, 81, 678, 711, 334, 2404, 81, 800, 280, 2349, 2613, 32, 371, 26, 5665, 81, 678, 27, 334, 415, 2404, 81, 800, 438, 1665, 44, 284, 2404, 280, 6512, 32, 371, 81, 1170, 81, 678, 81, 426, 26, 5665, 81, 678, 27, 284, 415, 2404, 438, 1665, 44, 397, 442, 1665, 284, 442, 2404, 32, 102, 334, 442, 2404, 81, 800, 203, 589, 739, 81, 1956, 26, 5665, 81, 678, 30, 2404, 81, 466, 711, 334, 1056, 280, 2349, 2613, 32, 470, 26, 5665, 81, 678, 30, 2404, 81, 466, 27, 334, 415, 646, 1056, 44, 284, 1056, 280, 2349, 2613, 32, 2560, 26, 5665, 81, 678, 27, 284, 415, 1056, 610, 225, 34, 44, 397, 442, 3177, 334, 415, 6512, 26, 678, 81, 426, 47, 5665, 81, 678, 30, 273, 47, 1956, 81, 466, 547, 524, 2262, 284, 442, 2933, 334, 442, 1665, 203, 589, 3066, 81, 1956, 26, 5665, 81, 678, 711, 334, 2349, 2613, 32, 2560, 26, 5665, 81, 678, 27, 334, 6512, 26, 678, 81, 426, 47, 5665, 81, 678, 547, 2560, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 7, 6, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 7, 6, 7, 6, 7, 7, 7, 6, 2, 2, 3, 5, 5, 4, 4, 3, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 7, 4, 4, 5, 6, 7, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 7, 6, 7, 6, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 3, 4, 3, 3, 3, 6, 6, 9, 8, 9, 8, 9, 9, 9, 8, 4, 4, 5, 6, 6, 7, 5, 5, 5, 7, 2, 2, 3, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 6, 5, 3, 3, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 6, 5, 6, 5, 6, 6, 6, 5, 2, 2, 7, 9, 9, 9, 8, 9, 9, 9, 7, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 3, 3, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 2, 2, 1, 0, 4, 4, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 3, 3, 2, 1, 2, 4, 4, 2, 1, 1, 0, 5, 5, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 0, 4, 4, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 2, 1, 2, 2, 0, 4, 4, 3, 0, 6, 6, 1, 1, 2, 1, 1, 1, 2, 6, 6, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 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 ]
[ 505, 1427, 1643, 505, 280, 330, 268, 30757, 1031, 25, 203, 5919, 280, 301, 397, 1044, 25, 2116, 950, 1044, 25, 51, 1142, 305, 370, 397, 1044, 25, 17583, 950, 1044, 25, 51, 1142, 6050, 370, 397, 1044, 25, 12708, 950, 1044, 25, 18855, 9536, 370, 397, 1044, 25, 2468, 950, 1044, 25, 1768, 27522, 370, 397, 1044, 25, 5546, 950, 1044, 25, 5870, 370, 397, 1044, 4763, 100, 798, 950, 1044, 25, 2062, 370, 397, 1044, 4484, 4051, 950, 1044, 25, 68, 78, 103, 34, 34, 87, 43, 4051, 370, 397, 1044, 1182, 102, 845, 950, 1044, 25, 5944, 303, 370, 397, 1044, 5438, 332, 950, 1044, 25, 1547, 370, 397, 1044, 25, 11794, 950, 1044, 25, 10581, 370, 397, 1044, 5438, 318, 27615, 950, 1044, 25, 54, 78, 103, 34, 34, 87, 43, 2938, 560, 370, 397, 1044, 25, 9436, 950, 1044, 25, 68, 78, 103, 34, 34, 87, 43, 1036, 78, 103, 34, 34, 87, 43, 370, 397, 1044, 25, 26170, 950, 1044, 25, 41457, 20040, 397, 1044, 25, 1173, 1602, 950, 1044, 25, 51, 1627, 17815, 469, 20040, 397, 1044, 5438, 5996, 950, 1044, 38065, 54, 5289, 527, 20040, 397, 1044, 25, 731, 950, 1044, 25, 15328, 39805, 370, 397, 1044, 25, 12118, 950, 1044, 25, 47586, 370, 397, 1044, 25, 7523, 950, 1044, 25, 27792, 370, 397, 1044, 25, 5766, 950, 1044, 25, 5217, 370, 397, 1044, 1330, 639, 950, 1044, 25, 19511, 6502, 370, 397, 1044, 25, 5691, 950, 1044, 25, 51, 1874, 370, 397, 1044, 25, 8078, 950, 1044, 25, 69, 418, 934, 548, 6040, 203, 12618, 17884, 14176, 81, 4151, 280, 301, 397, 1044, 25, 83, 1142, 305, 950, 1044, 25, 2116, 370, 397, 1044, 25, 83, 1142, 6050, 950, 1044, 25, 17583, 370, 397, 1044, 25, 39570, 950, 1044, 25, 12708, 370, 397, 1044, 25, 339, 27522, 950, 1044, 25, 2468, 370, 397, 1044, 25, 5546, 950, 1044, 25, 5546, 370, 397, 1044, 4763, 100, 798, 950, 1044, 4763, 100, 798, 370, 397, 1044, 25, 100, 78, 103, 34, 34, 87, 43, 4051, 950, 1044, 4484, 4051, 370, 397, 1044, 1182, 35475, 303, 950, 1044, 1182, 102, 845, 370, 397, 1044, 5438, 332, 950, 1044, 5438, 332, 370, 397, 1044, 25, 11794, 950, 1044, 25, 11794, 370, 397, 1044, 5438, 78, 103, 34, 34, 87, 43, 2938, 560, 950, 1044, 5438, 318, 27615, 370, 397, 1044, 25, 100, 78, 103, 34, 34, 87, 43, 1036, 78, 103, 34, 34, 87, 43, 950, 1044, 25, 9436, 6040, 203, 2116, 81, 17641, 4044, 280, 428, 920, 370, 5769, 785, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 3, 3, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 6, 4, 6, 6, 6, 0, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 3, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 5, 0, 1, 1, 2, 2, 2, 0, 1, 2, 7, 0, 1, 1, 2, 2, 2, 0, 1, 2, 9, 0, 1, 2, 2, 2, 0, 1, 1, 2, 11, 0, 1, 2, 2, 2, 0, 1, 2, 13, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 15, 0, 1, 1, 2, 2, 2, 0, 1, 2, 17, 0, 1, 2, 2, 2, 0, 1, 2, 19, 0, 1, 2, 2, 2, 0, 1, 1, 2, 21, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 23, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 25, 0, 1, 1, 2, 2, 0, 1, 1, 2, 27, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 29, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 31, 0, 1, 1, 2, 2, 2, 0, 1, 2, 33, 0, 1, 2, 2, 2, 0, 1, 2, 35, 0, 1, 2, 2, 2, 0, 1, 2, 37, 0, 1, 2, 2, 2, 0, 1, 2, 39, 0, 1, 1, 2, 2, 2, 0, 1, 2, 41, 0, 1, 1, 2, 2, 2, 0, 1, 2, 43, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 3, 0, 1, 2, 2, 2, 0, 1, 2, 5, 0, 1, 2, 2, 2, 0, 1, 1, 2, 7, 0, 1, 2, 2, 2, 0, 1, 2, 9, 0, 1, 2, 2, 2, 0, 1, 1, 2, 11, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 13, 0, 1, 2, 2, 2, 0, 1, 1, 2, 15, 0, 1, 1, 2, 2, 2, 0, 1, 2, 17, 0, 1, 2, 2, 2, 0, 1, 2, 19, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 21, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 23, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 6635, 6664, 280, 225, 34, 203, 6635, 10765, 280, 429, 35, 203, 6635, 6513, 280, 474, 35, 203, 6635, 27964, 280, 429, 35, 203, 6635, 2201, 73, 280, 474, 35, 203, 6635, 63, 3906, 280, 225, 35, 203, 6635, 40881, 5455, 280, 225, 36, 203, 823, 42588, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 3097, 284, 665, 803, 81, 1676, 26, 784, 30, 636, 711, 291, 630, 32, 761, 280, 2156, 26, 426, 30, 330, 105, 683, 291, 630, 32, 3607, 280, 636, 284, 665, 803, 81, 2679, 26, 784, 711, 291, 630, 32, 761, 32, 2679, 346, 284, 665, 2866, 26, 784, 30, 309, 711, 291, 630, 32, 761, 32, 1821, 26, 101, 27, 284, 665, 3460, 81, 2409, 26, 784, 30, 804, 30, 636, 1057, 7831, 291, 3097, 284, 665, 1015, 81, 9729, 26, 784, 30, 827, 81, 426, 30, 2803, 711, 291, 3097, 284, 665, 3460, 81, 4048, 26, 784, 30, 5302, 47, 2700, 711, 291, 3097, 284, 665, 3460, 81, 416, 26, 784, 711, 291, 3097, 284, 665, 15042, 81, 6635, 26, 784, 711, 291, 3097, 284, 665, 1361, 81, 2409, 26, 784, 30, 804, 30, 636, 1057, 7831, 291, 3097, 284, 665, 1361, 81, 1851, 26, 784, 30, 804, 711, 291, 3097, 284, 665, 1361, 81, 416, 26, 784, 711, 291, 3097, 284, 665, 1360, 3824, 26, 784, 711, 291, 3097, 284, 665, 10021, 26, 784, 711, 291, 3097, 284, 665, 7976, 26, 784, 711, 291, 3097, 284, 665, 33530, 26, 784, 711, 291, 3097, 284, 665, 38060, 26, 784, 30, 544, 47, 1815, 711, 291, 3097, 284, 665, 739, 81, 14375, 26, 784, 30, 14442, 711, 291, 3097, 284, 665, 739, 81, 29820, 81, 6946, 26, 784, 30, 816, 47, 2521, 30, 533, 47, 2521, 30, 1288, 47, 2521, 30, 312, 47, 2521, 30, 323, 47, 2521, 30, 281, 47, 2521, 711, 291, 3097, 284, 665, 3345, 81, 29820, 81, 6946, 26, 784, 711, 291, 3097, 284, 665, 4559, 81, 2342, 26, 784, 30, 804, 711, 291, 3097, 284, 665, 4559, 81, 22321, 26, 784, 30, 804, 30, 636, 26409, 2803, 47, 2521, 711, 291, 3097, 284, 665, 3401, 81, 6006, 26, 784, 30, 804, 30, 10423, 47, 2521, 711, 291, 3097, 284, 665, 3401, 81, 1322, 26, 784, 30, 804, 30, 3104, 47, 2521, 711, 291, 3097, 284, 665, 1550, 81, 3732, 26, 784, 711, 291, 442, 1665, 284, 665, 31742, 81, 5494, 26, 784, 30, 816, 47, 2521, 30, 533, 47, 2521, 30, 1288, 47, 2521, 30, 312, 47, 2521, 30, 323, 47, 2521, 30, 281, 47, 2521, 711, 291, 3097, 284, 665, 31742, 81, 470, 26, 784, 30, 816, 47, 2521, 30, 533, 47, 2521, 30, 1288, 47, 2521, 30, 312, 47, 2521, 30, 323, 47, 2521, 30, 281, 47, 2521, 711, 291, 3097, 284, 665, 1389, 14375, 26, 784, 30, 804, 711, 291, 3097, 284, 665, 4233, 723, 14375, 26, 784, 30, 108, 47, 2521, 711, 291, 3097, 284, 665, 5045, 26, 784, 30, 83, 35, 47, 2521, 30, 84, 35, 47, 2521, 30, 85, 35, 47, 2521, 30, 83 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 2, 2, 3, 0, 3, 3, 2, 2, 4, 0, 3, 3, 2, 2, 4, 0, 3, 3, 2, 2, 4, 0, 3, 3, 3, 2, 2, 4, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 8, 10, 10, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 7, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 7, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 6, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 6, 5, 6, 4, 3, 3, 2, 2, 3, 4, 5, 4, 6, 6, 5, 6, 4, 6, 6, 5, 6, 4, 6, 6, 5, 6, 4, 6 ]
[ 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 7, 7, 7, 7, 7, 0, 1, 1, 1, 2, 0, 0, 3, 3, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 3, 3, 3, 2, 1, 2, 2, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 3, 3, 4, 1, 1, 2, 1, 2, 2, 2, 2, 5, 1, 4, 4, 3, 3, 5, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 5, 5, 3, 3, 6, 1, 1, 2, 1, 2, 2, 3, 2, 2, 6, 6, 3, 3, 7, 1, 1, 2, 1, 2, 7, 7, 3, 3, 8, 1, 1, 2, 1, 2, 8, 8, 3, 3, 9, 1, 1, 2, 1, 2, 2, 2, 2, 5, 1, 9, 9, 3, 3, 10, 1, 1, 2, 1, 2, 2, 2, 10, 10, 3, 3, 11, 1, 1, 2, 1, 2, 11, 11, 3, 3, 12, 1, 2, 1, 2, 12, 12, 3, 3, 13, 2, 1, 2, 13, 13, 3, 3, 14, 2, 1, 2, 14, 14, 3, 3, 15, 2, 1, 2, 15, 15, 3, 3, 16, 2, 1, 2, 2, 3, 2, 2, 16, 16, 3, 3, 17, 1, 1, 2, 1, 2, 2, 2, 17, 17, 3, 3, 18, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 2, 13, 2, 2, 18, 18, 3, 3, 19, 1, 1, 1, 1, 2, 1, 2, 19, 19, 3, 3, 20, 1, 1, 2, 1, 2, 2, 2, 20, 20, 3, 3, 21, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 7, 2, 2, 21, 21, 3, 3, 22, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 22, 22, 3, 3, 23, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 23, 23, 3, 3, 24, 1, 1, 2, 1, 2, 24, 24, 0, 3, 3, 25, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 2, 13, 2, 2, 25, 25, 3, 3, 26, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 2, 13, 2, 2, 26, 26, 3, 3, 27, 1, 2, 1, 2, 2, 2, 27, 27, 3, 3, 28, 1, 1, 2, 1, 2, 0, 3, 2, 2, 28, 28, 3, 3, 29, 2, 1, 2, 0, 0, 3, 2, 2, 0, 0, 5, 2, 2, 0, 0, 7, 2, 2, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 8527, 32, 1199, 1188, 12522, 30, 4549, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 6440, 280, 428, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 44563, 26, 324, 636, 1057, 8691, 24676, 4430, 11874, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 4741, 1176, 26, 10529, 81, 426, 1057, 779, 370, 12741, 47, 2700, 30, 2267, 81, 4524, 47, 1815, 30, 7458, 81, 678, 47, 1815, 3662, 400, 2726, 5545, 370, 4549, 32, 7697, 1176, 26, 10529, 81, 426, 1057, 5545, 370, 1769, 81, 17980, 47, 43, 30, 10245, 81, 15778, 47, 36, 3662, 400, 2726, 6554, 81, 314, 370, 4549, 32, 16357, 26, 5665, 47, 1815, 30, 1769, 81, 1322, 47, 36, 39, 39, 30, 9541, 81, 426, 1057, 6554, 804, 13356, 400, 2726, 3220, 370, 4549, 32, 39471, 26, 1536, 47, 2700, 30, 9541, 81, 426, 1057, 3220, 13356, 400, 2726, 1204, 370, 4549, 32, 2413, 1176, 26, 10529, 81, 426, 1057, 1204, 13356, 400, 2726, 1517, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 30, 9541, 81, 426, 1057, 1517, 370, 11771, 47, 1815, 3662, 400, 2726, 14117, 81, 681, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 30, 9541, 81, 426, 1057, 14117, 827, 370, 11771, 47, 1815, 3662, 400, 2726, 4524, 81, 269, 370, 4549, 32, 36172, 26, 2837, 81, 2174, 81, 669, 47, 1815, 30, 9541, 81, 426, 1057, 4524, 821, 13356, 400, 2726, 2135, 81, 10454, 370, 4549, 32, 36172, 26, 2837, 81, 2174, 47, 1815, 30, 9541, 81, 426, 1057, 2135, 8844, 13356, 324, 2505, 324, 2075, 1279, 400, 330, 10529, 81, 426, 950, 330, 8691, 24676, 4430, 30254, 370, 400, 330, 10529, 81, 426, 81, 25857, 950, 330, 8691, 24676, 4430, 16350, 3009, 370, 324, 801, 291, 2588, 291, 12522, 32, 44563, 26, 324, 636, 1057, 8691, 24676, 4430, 26837, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 4741, 1176, 26, 10529, 81, 426, 1057, 779, 370, 12741, 47, 2700, 30, 2267, 81, 4524, 47, 1815, 30, 7458, 81, 678, 47, 1815, 3662, 400, 2726, 15199, 81, 314, 370, 4549, 32, 16357, 26, 5665, 47, 1815, 30, 1769, 81, 1322, 47, 36, 39, 39, 30, 9541, 81, 426, 1057, 15199, 804, 13356, 400, 2726, 7948, 81, 681, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 30, 9541, 81, 426, 1057, 7948, 827, 13356, 400, 2726, 2999, 81, 5545, 370, 4549, 32, 7697, 1176, 26, 10529, 81, 426, 1057, 2999, 5168, 370, 1769, 81, 17980, 47, 43, 30, 10245, 81, 15778, 47, 36, 3662, 400, 2726, 1517, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 30, 9541, 81, 426, 1057, 1517, 370, 11771, 47, 1815, 3662, 400, 2726, 1204, 370, 4549, 32, 2413, 1176, 26, 10529, 81, 426, 1057, 1204, 13356, 400, 2726, 25180, 81, 1204, 370, 4549, 32, 2413, 1176, 26, 10529, 81, 426, 1057, 25180, 2552, 13356, 400, 2726, 2679, 81, 1204, 370, 4549, 32, 2413, 1176, 26, 10529 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 5, 5, 2, 2, 4, 4, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 10, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 15, 15, 12, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 15, 15, 12, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 14, 14, 13, 14, 14, 14, 12, 12, 14, 14, 13, 15, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 12, 14, 14, 13, 15, 15, 12, 13, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 12, 14, 14, 13, 15, 15, 15, 12, 13, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 15, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 15, 15, 15, 9, 9, 7, 7, 8, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 9, 9, 7, 7, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 10, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 15, 15, 12, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 14, 14, 13, 14, 14, 14, 12, 12, 14, 14, 13, 15, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 12, 14, 14, 13, 15, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 15, 15, 15, 12, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 12, 14, 14, 13, 15, 15, 12, 13, 14, 12, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 15, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 13, 12, 14 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 0, 0, 7, 2, 1, 2, 2, 1, 2, 3, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 3, 2, 1, 1, 0, 0, 5, 2, 1, 2, 2, 1, 1, 1, 2, 5, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 0, 0, 5, 1, 1, 2, 2, 2, 1, 2, 7, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 1, 2, 2, 2, 1, 2, 9, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 11, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 1, 2, 1, 5, 2, 1, 2, 2, 1, 1, 1, 2, 13, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 1, 1, 2, 1, 5, 2, 1, 2, 2, 1, 1, 1, 2, 15, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 17, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 1, 1, 2, 2, 2, 1, 1, 5, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 0, 0, 7, 2, 1, 2, 2, 1, 1, 1, 2, 3, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 0, 0, 5, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 1, 0, 0, 5, 2, 1, 2, 2, 1, 2, 9, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 1, 2, 1, 5, 2, 1, 2, 2, 1, 2, 11, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 13, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 15, 0, 2, 2, 1, 0 ]
[ 1070, 27847, 348, 32, 3337, 32, 6967, 1188, 6144, 959, 203, 1070, 8206, 13835, 32, 28783, 32, 11201, 1188, 308, 780, 100, 4610, 30, 4600, 1372, 14814, 30, 439, 9117, 30, 284, 439, 47321, 12364, 30, 439, 47321, 10079, 30, 439, 47321, 33637, 30, 439, 2438, 30, 23961, 10876, 3437, 30, 284, 439, 9938, 27, 203, 1070, 8206, 13835, 32, 28783, 32, 2468, 1188, 17409, 38, 2438, 203, 1070, 8206, 13835, 32, 22402, 32, 18986, 1188, 19205, 203, 1070, 8206, 13835, 32, 858, 32, 1805, 81, 8774, 1188, 308, 652, 9998, 30, 11348, 47321, 30, 284, 559, 40780, 5017, 47321, 27, 203, 1070, 8206, 13835, 32, 28783, 32, 5721, 1188, 5675, 2214, 30, 15600, 203, 823, 892, 9998, 4470, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 9613, 280, 892, 9998, 346, 284, 665, 894, 81, 11201, 26, 784, 711, 291, 630, 32, 6549, 26, 6967, 959, 26, 780, 100, 4610, 30, 630, 32, 9613, 490, 291, 630, 32, 6549, 26, 6967, 959, 26, 2027, 1372, 14814, 30, 630, 32, 9613, 490, 291, 630, 32, 6549, 26, 6967, 959, 26, 59, 9117, 30, 630, 32, 9613, 490, 284, 665, 894, 81, 3317, 14814, 26, 784, 711, 291, 22595, 280, 1300, 346, 291, 20108, 280, 1300, 346, 291, 630, 32, 9613, 32, 3317, 14814, 26, 23666, 30, 20108, 27, 291, 630, 32, 862, 9594, 1578, 26, 784, 32, 9613, 32, 23666, 30, 22595, 27, 291, 630, 32, 862, 9594, 1578, 26, 784, 32, 9613, 32, 22528, 30, 20108, 27, 284, 665, 894, 81, 1285, 11327, 4329, 14814, 26, 784, 711, 291, 22595, 280, 1300, 346, 291, 630, 32, 9613, 32, 3317, 14814, 26, 23666, 30, 2933, 27, 291, 630, 32, 23895, 26, 324, 26405, 30, 630, 32, 9613, 32, 3317, 14814, 30, 1300, 1026, 3177, 27, 291, 630, 32, 862, 9594, 1578, 26, 784, 32, 9613, 32, 23666, 30, 22595, 27, 291, 630, 32, 6549, 26, 784, 32, 9613, 32, 22528, 27, 284, 665, 894, 81, 28402, 14814, 26, 784, 711, 291, 3610, 14814, 280, 1300, 346, 291, 537, 14814, 280, 1300, 346, 291, 630, 32, 9613, 32, 3317, 14814, 26, 1455, 14814, 30, 3177, 27, 291, 630, 32, 9613, 32, 28402, 14814, 346, 291, 630, 32, 862, 9594, 1578, 26, 784, 32, 9613, 32, 23666, 30, 1665, 27, 291, 630, 32, 9613, 32, 3317, 14814, 26, 890, 14814, 30, 2933, 27, 291, 630, 32, 862, 9594, 1578, 26, 784, 32, 9613, 32, 23666, 30, 537, 14814, 27, 291, 630, 32, 6549, 26, 784, 32, 9613, 32, 22528, 27, 284, 665, 894, 81, 5790, 41522, 14814, 26, 784, 711, 291, 630, 32, 23895, 26, 41358, 30, 630, 32, 9613, 32, 28402, 14814, 27, 284, 665, 894, 81, 4332, 14814, 1078, 26, 784, 711, 291, 630, 32, 5299, 26, 784, 32, 9613, 32, 23666, 1078, 30, 330, 510, 19524, 683, 284, 665, 894, 81, 12089, 590, 19524, 26, 784, 711, 291, 630, 32, 9613, 32, 12089, 590, 19524, 346, 291, 630, 32, 5299, 26, 784, 32, 9613, 32, 23666, 1078, 30, 330, 34396, 683, 284, 665, 894, 81, 14957, 590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 3, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 3, 3, 3, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 10, 10, 10, 9, 9, 10, 11, 9, 4, 4, 7, 8, 7, 9, 9, 9, 10, 10, 10, 9, 9, 10, 11, 9, 4, 4, 7, 8, 7, 9, 9, 9, 10, 10, 9, 9, 10, 11, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 4, 4, 6, 6, 8, 4, 4, 8, 9, 7, 8, 8, 7, 8, 7, 7, 7, 4, 4, 7, 8, 8, 8, 7, 10, 9, 10, 8, 9, 7, 7, 7, 4, 4, 7, 8, 8, 8, 7, 10, 9, 10, 8, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 4, 4, 8, 9, 7, 8, 8, 7, 8, 7, 7, 7, 4, 4, 7, 8, 7, 7, 7, 7, 7, 9, 10, 8, 9, 9, 7, 7, 9, 7, 7, 4, 4, 7, 8, 8, 8, 7, 10, 9, 10, 8, 9, 7, 7, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 4, 4, 7, 6, 6, 8, 4, 4, 8, 9, 7, 8, 8, 7, 8, 8, 7, 7, 7, 4, 4, 8, 9, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 10, 9, 10, 8, 9, 7, 7, 7, 4, 4, 8, 9, 7, 8, 8, 7, 8, 8, 7, 7, 7, 4, 4, 7, 8, 8, 8, 7, 10, 9, 10, 8, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 9, 10, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 8, 9, 9, 7, 7, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 9, 7, 7, 9, 9, 2, 2, 3, 4, 4, 4 ]
[ 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 5, 5, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 4, 4, 0, 0, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 2, 3, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 1, 1, 1, 1, 0, 2, 3, 2, 2, 1, 4, 4, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 4, 4, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 4, 4, 8, 1, 1, 1 ]
[ 1070, 8778, 32, 1581, 1188, 4942, 203, 823, 7065, 26, 2282, 32, 5240, 711, 284, 5079, 4882, 280, 3037, 1366, 13033, 392, 313, 6656, 13033, 1446, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 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 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 7, 7, 7, 5, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 30, 19493, 203, 465, 4551, 203, 1070, 4551, 1188, 10864, 2917, 81, 8467, 30, 10864, 2917, 81, 55, 14427, 30, 10864, 2917, 81, 65, 2918, 203, 1070, 4551, 1188, 37533, 16772, 81, 4431, 30, 37533, 16772, 81, 36412, 203, 1070, 4551, 1188, 506, 5751, 16772, 30, 358, 6578, 16772, 30, 5490, 14427, 16772, 30, 516, 4006, 16772, 203, 1070, 4551, 625, 1188, 3772, 2948, 3437, 203, 1070, 8206, 13835, 32, 28783, 1188, 5547, 30, 296, 3801, 30, 2575, 203, 823, 7406, 3437, 26, 1761, 2948, 3437, 30, 5547, 32, 33748, 711, 284, 9475, 280, 225, 35, 284, 665, 1156, 1664, 3207, 784, 30, 7079, 30, 3298, 558, 1527, 3437, 1918, 30, 30633, 30, 291, 48351, 3306, 280, 225, 43, 40, 34, 34, 30, 3519, 518, 280, 516, 4006, 16772, 30, 43264, 280, 10864, 2917, 81, 8467, 30, 291, 4719, 5960, 280, 37533, 16772, 81, 4431, 30, 5868, 280, 225, 34, 30, 816, 267, 106, 1719, 280, 225, 34, 30, 540, 1421, 26188, 280, 225, 34, 711, 291, 5547, 32, 33748, 3667, 1664, 3207, 784, 30, 30633, 27, 291, 630, 1114, 3542, 280, 630, 1114, 3542, 2214, 26, 324, 3298, 558, 1527, 3437, 1918, 30, 48351, 3306, 47, 2653, 836, 3306, 30, 3519, 518, 47, 3651, 518, 30, 324, 43264, 47, 36390, 30, 4719, 5960, 47, 4048, 5960, 30, 5868, 47, 5457, 30, 324, 816, 267, 106, 1719, 47, 106, 267, 106, 1719, 30, 540, 1421, 26188, 47, 100, 1421, 26188, 27, 291, 630, 32, 41622, 280, 30633, 291, 630, 32, 9321, 1612, 346, 291, 630, 32, 9321, 2301, 346, 291, 630, 32, 5721, 280, 7079, 291, 630, 32, 5721, 32, 2682, 2798, 26, 784, 27, 291, 630, 32, 1366, 19971, 346, 284, 665, 8626, 7888, 26, 784, 711, 291, 442, 630, 1114, 3542, 32, 2995, 284, 665, 2866, 7303, 750, 26, 784, 30, 706, 711, 291, 442, 296, 3801, 32, 43356, 6344, 26, 784, 32, 5039, 7888, 1026, 706, 27, 284, 665, 745, 2230, 26, 784, 711, 291, 442, 296, 3801, 32, 850, 1792, 6344, 26, 784, 32, 5039, 7888, 1026, 630, 32, 5721, 32, 605, 10916, 27, 284, 665, 3387, 28738, 26, 784, 30, 5966, 711, 291, 5547, 32, 33748, 32, 3841, 28738, 26, 784, 30, 5966, 27, 291, 630, 1114, 3542, 32, 2679, 346, 291, 630, 32, 5721, 32, 3841, 28738, 26, 10354, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 3, 3, 3, 2, 2, 3, 4, 2, 1, 1, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 6, 5, 5, 6, 6, 6, 6, 4, 4, 6, 5, 5, 6, 6, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 6, 5, 5, 6, 6, 6, 4, 4, 5, 5, 6, 4, 4, 6, 6, 6, 5, 5, 6, 4, 4, 6, 6, 5, 5, 6, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 8, 8, 9, 9, 9, 9, 8, 8, 10, 9, 10, 10, 10, 8, 8, 10, 9, 10, 10, 8, 8, 8, 9, 10, 8, 8, 10, 9, 10, 10, 8, 8, 9, 10, 8, 8, 8, 10, 10, 10, 9, 10, 10, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 7, 4, 4, 7, 8, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 8, 9, 7, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 7, 8, 8, 7, 10, 9, 10, 10, 9, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 7, 8, 8, 8, 7, 10, 9, 10, 10, 9, 7, 9, 10, 8, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 8, 7, 8, 7, 7, 7, 4, 4, 8, 9, 7, 8, 7, 4, 4, 8, 9, 7, 8, 8, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 6, 6, 0, 6, 6, 0, 7, 7, 1, 2, 1, 1, 1, 2, 2, 3, 2, 2, 7, 7, 0, 0, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 5, 2, 2, 2, 2, 2, 0, 9, 9, 2, 2, 2, 2, 2, 2, 0, 11, 11, 2, 2, 2, 2, 13, 13, 2, 2, 2, 2, 2, 2, 0, 15, 15, 2, 2, 2, 2, 2, 17, 17, 2, 2, 2, 0, 0, 0, 19, 19, 2, 2, 2, 0, 0, 21, 21, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 2, 2, 2, 1, 1, 0, 5, 2, 2, 1, 1, 1, 7, 2, 1, 1, 0, 9, 2, 2, 1, 1, 11, 2, 1, 1, 1, 0, 0, 0, 13, 2, 2, 2, 2, 1, 1, 0, 0, 15, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 4, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 3, 2, 2, 1, 4, 4, 5, 1, 2, 1, 2, 2, 2, 5, 5, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 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 ]
[ 465, 2361, 203, 465, 3619, 10185, 203, 1070, 7138, 1188, 7138, 30, 30784, 203, 1070, 8527, 32, 36287, 1188, 2908, 203, 1070, 8527, 1188, 10548, 203, 1070, 8527, 32, 12023, 1188, 3796, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 4338, 32, 9947, 32, 1439, 1188, 4328, 203, 1070, 8527, 32, 11400, 1188, 10156, 203, 1070, 8527, 32, 1262, 32, 9331, 1188, 1476, 81, 2501, 203, 1070, 8527, 32, 4338, 32, 28497, 32, 14250, 1188, 23049, 81, 327, 30816, 203, 1070, 3226, 267, 402, 32, 28497, 1188, 2202, 81, 27680, 30, 2599, 496, 81, 5322, 203, 1070, 3226, 267, 402, 32, 2304, 1188, 2361, 81, 1986, 203, 1070, 3226, 267, 402, 32, 20644, 32, 21945, 1188, 47455, 2554, 203, 1070, 3226, 267, 402, 32, 20644, 32, 3378, 1188, 308, 284, 4851, 30, 284, 11212, 30, 284, 20762, 30, 284, 4851, 620, 9141, 30, 284, 20762, 2168, 30, 284, 5903, 29922, 2291, 30, 284, 3268, 1151, 30, 284, 40120, 30, 284, 14396, 2140, 30, 284, 20762, 6253, 2140, 30, 203, 27, 203, 1070, 3226, 267, 402, 32, 20644, 32, 3378, 1188, 745, 81, 40869, 203, 1070, 3226, 267, 402, 32, 20644, 32, 2304, 1188, 2768, 19393, 30, 10128, 30, 12359, 81, 6665, 81, 1131, 81, 17213, 203, 1070, 3226, 267, 402, 32, 20644, 32, 2122, 81, 14458, 1188, 41278, 203, 85, 1237, 280, 47455, 2554, 346, 203, 823, 25815, 720, 26, 1074, 711, 284, 665, 622, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 617, 7982, 280, 281, 1237, 32, 371, 81, 7263, 81, 4243, 346, 291, 963, 280, 1605, 291, 436, 17993, 30, 345, 668, 328, 617, 7982, 44, 324, 963, 32, 1689, 14178, 2122, 950, 17993, 32, 426, 30, 715, 330, 7982, 950, 39228, 426, 950, 345, 32, 426, 30, 330, 2243, 950, 345, 32, 2243, 30, 330, 681, 950, 345, 32, 681, 111, 1891, 436, 345, 328, 345, 668, 33993, 291, 442, 2361, 81, 1986, 14178, 7982, 950, 963, 1748, 203, 823, 11258, 720, 26, 1074, 711, 284, 665, 622, 81, 37741, 26, 784, 711, 291, 442, 4851, 32, 5740, 32, 2029, 26, 2480, 47, 1815, 547, 1613, 81, 10513, 346, 284, 665, 622, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2678, 280, 630, 32, 371, 81, 37741, 346, 291, 963, 280, 1605, 291, 436, 1623, 328, 2678, 44, 324, 963, 32, 1689, 14178, 426, 950, 1623, 32, 426, 30, 715, 330, 2035, 950, 1623, 32, 2035, 32, 426, 30, 715, 330, 314, 950, 1623, 32, 314, 30, 715, 330, 681, 950, 1623, 32, 2122, 81, 681, 32, 426, 30, 715, 330, 1553, 81, 7568, 950, 1623, 32, 1553, 81, 7568, 32, 2999, 81, 6360, 1026, 715, 330, 2135, 81, 1553, 950, 1623, 32, 2135, 81, 1553, 1748, 291, 442, 2361, 81, 1986, 14178, 4255, 950, 963, 1748, 203, 823, 11212, 101, 720, 26, 1074, 711, 284, 665, 622, 81, 37741, 26, 784, 711, 291, 442, 11212, 32, 5740, 32, 2029, 26, 2480, 47, 1815, 547, 1613, 81, 10513, 346, 284, 665, 622, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 0, 3, 3, 2, 2, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 6, 6, 9, 8, 9, 9, 9, 9, 9, 8, 4, 4, 6, 6, 4, 4, 5, 6, 6, 7, 5, 5, 6, 5, 5, 5, 9, 10, 9, 13, 13, 11, 12, 13, 10, 10, 10, 13, 13, 11, 16, 16, 14, 15, 16, 13, 13, 16, 16, 14, 15, 16, 13, 13, 16, 16, 14, 15, 16, 13, 12, 12, 13, 13, 13, 14, 12, 4, 4, 5, 7, 7, 7, 11, 11, 9, 8, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 10, 11, 9, 10, 9, 11, 10, 11, 9, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 9, 13, 13, 11, 12, 13, 10, 10, 10, 13, 13, 11, 13, 14, 12, 13, 10, 10, 10, 13, 13, 11, 12, 13, 10, 10, 10, 13, 13, 11, 13, 14, 14, 14, 12, 13, 10, 10, 10, 13, 13, 13, 13, 11, 14, 15, 15, 15, 13, 14, 14, 14, 13, 10, 10, 13, 13, 13, 13, 11, 12, 13, 13, 13, 10, 4, 4, 5, 7, 7, 7, 11, 11, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 10, 11, 9, 10, 9, 11, 10, 11, 9, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 1, 2, 1, 4, 1, 6, 7, 7, 0, 8, 8, 1, 2, 8, 8, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 1, 6, 10, 10, 0, 0, 0, 0, 11, 11, 0, 0, 1, 2, 11, 11, 0, 0, 11, 11, 0, 0, 0, 0, 12, 12, 0, 0, 1, 2, 12, 12, 0, 0, 0, 13, 13, 0, 0, 1, 2, 1, 4, 13, 13, 0, 0, 14, 14, 0, 0, 1, 2, 1, 4, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 0, 14, 14, 14, 0, 14, 14, 14, 0, 0, 14, 14, 14, 0, 14, 14, 14, 14, 14, 14, 0, 14, 14, 14, 0, 0, 14, 14, 14, 0, 15, 15, 0, 0, 1, 2, 1, 4, 15, 15, 0, 0, 0, 16, 16, 0, 0, 1, 2, 1, 4, 16, 16, 0, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 17, 17, 0, 0, 1, 2, 1, 4, 4, 4, 17, 17, 0, 0, 0, 0, 0, 0, 1, 0, 19, 19, 1, 2, 1, 2, 19, 19, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 4, 4, 2, 1, 1, 2, 2, 2, 3, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 3, 1, 2, 1, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 2, 5, 2, 2, 1, 2, 2, 2, 2, 2, 3, 2, 4, 4, 3, 0, 0, 1, 1, 2, 1, 1, 0, 20, 20, 1, 2, 1, 2, 20, 20, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 4, 4, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 4, 4, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 3, 0, 2, 2, 2, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 1, 2, 7, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 9, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 11, 2, 2, 2, 2, 1, 4, 4, 3, 0, 0, 1, 1, 2, 1, 1, 0, 21, 21, 1, 1, 2, 1, 2, 21, 21, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 4, 4, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2 ]
[ 465, 2322, 203, 465, 316, 203, 465, 6234, 203, 465, 6314, 203, 465, 1133, 203, 1070, 2322, 315, 32, 1163, 1188, 8444, 203, 1070, 2322, 315, 32, 2304, 1188, 13489, 2304, 203, 1070, 2322, 315, 81, 32648, 1188, 2164, 2304, 203, 1070, 7683, 12752, 32, 2282, 1188, 9519, 81, 11458, 265, 203, 1070, 7683, 12752, 32, 2282, 1188, 3756, 203, 1070, 7683, 12752, 32, 2282, 32, 91, 35, 42, 96, 1188, 617, 203, 1070, 7683, 12752, 32, 2282, 32, 91, 35, 42, 96, 1188, 617, 815, 203, 1070, 7683, 12752, 32, 2282, 1188, 5703, 203, 1070, 7683, 12752, 32, 2282, 1188, 10066, 203, 1070, 7683, 12752, 32, 2282, 1188, 8745, 203, 1070, 7683, 12752, 32, 1328, 22220, 1188, 8745, 619, 7884, 81, 2304, 203, 1070, 7683, 12752, 32, 18150, 32, 3477, 1188, 1778, 81, 2613, 203, 1070, 7683, 12752, 32, 26878, 32, 2282, 1188, 1245, 619, 5741, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 14594, 280, 8444, 32, 14594, 203, 589, 21067, 26, 10802, 81, 2468, 30, 16890, 81, 625, 711, 284, 8745, 32, 4526, 463, 43041, 27353, 370, 1750, 6470, 95, 370, 330, 21533, 370, 1750, 6470, 102, 370, 330, 270, 370, 1750, 6470, 98, 370, 6611, 101, 6069, 101, 25, 904, 308, 10802, 81, 2468, 30, 16890, 81, 625, 471, 1750, 1420, 81, 302, 81, 2388, 47, 1815, 30, 1750, 1505, 81, 4775, 81, 687, 6020, 34, 614, 1750, 20130, 47, 39, 30, 1750, 7808, 81, 267, 81, 13558, 47, 1815, 27, 203, 589, 6207, 81, 43041, 26, 10802, 81, 2468, 30, 16890, 81, 625, 30, 1760, 81, 10179, 96, 711, 284, 8745, 32, 4526, 463, 43041, 27353, 370, 1750, 6470, 95, 370, 330, 1251, 370, 1750, 6470, 98, 370, 6611, 101, 6069, 101, 25, 904, 308, 10802, 81, 2468, 30, 16890, 81, 625, 471, 1750, 6470, 70, 370, 1760, 81, 10179, 96, 30, 1750, 11363, 3615, 370, 1750, 1420, 81, 302, 81, 2388, 47, 1815, 30, 1750, 1505, 81, 4775, 81, 687, 6020, 34, 614, 1750, 20130, 47, 39, 30, 1750, 7808, 81, 267, 81, 13558, 47, 1815, 27, 284, 1133, 32, 7840, 26, 37, 27, 203, 589, 20641, 81, 43041, 26, 10802, 81, 2468, 30, 16890, 81, 625, 30, 1760, 81, 10179, 96, 711, 284, 8745, 32, 4526, 463, 43041, 27353, 370, 1750, 6470, 95, 370, 330, 1251, 370, 1750, 6470, 98, 370, 6611, 101, 6069, 101, 25, 904, 308, 10802, 81, 2468, 30, 16890, 81, 625, 471, 1750, 6470, 70, 370, 1760, 81, 10179, 96, 30, 1750, 11363, 12646, 370, 1750, 1420, 81, 302, 81, 2388, 47, 1815, 30, 1750, 1505, 81, 4775, 81, 687, 6020, 34, 614, 1750, 20130, 47, 39, 30, 1750, 7808, 81, 267, 81, 13558, 47, 1815, 27, 203, 589, 3066, 81, 43041, 26, 10802, 81, 2468, 30, 16890, 81, 625, 30, 1760, 81, 10179, 96, 711, 284, 8745, 32, 4526, 463, 43041, 27353, 370, 1750, 6470, 95, 370, 330, 1251, 370, 1750, 6470, 98, 370, 6611, 101, 6069, 101, 25, 904, 308, 10802, 81, 2468, 30, 16890, 81, 625, 471, 1750, 6470, 70, 370, 1760, 81, 10179, 96, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 2, 2, 3, 4, 0, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 6, 5, 7, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 7, 8, 8, 7, 5, 5, 7, 7, 7, 7, 6, 7, 5, 5, 5, 7, 7, 7, 7, 6, 8, 7, 5, 5, 6, 7, 5, 5, 5, 7, 7, 7, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 1, 1, 5, 6, 5, 7, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 7, 8, 8, 7, 5, 5, 7, 7, 5, 6, 6, 6, 5, 5, 5, 7, 7, 5, 5, 7, 7, 7, 7, 6, 7, 5, 5, 5, 7, 7, 7, 7, 6, 8, 7, 5, 5, 6, 7, 5, 5, 5, 7, 7, 7, 7, 6, 7, 5, 2, 2, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 1, 1, 5, 6, 5, 7, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 7, 8, 8, 7, 5, 5, 7, 7, 5, 6, 6, 6, 5, 5, 5, 7, 7, 5, 5, 7, 7, 7, 7, 6, 7, 5, 5, 5, 7, 7, 7, 7, 6, 8, 7, 5, 5, 6, 7, 5, 5, 5, 7, 7, 7, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 1, 1, 5, 6, 5, 7, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 7, 8, 8, 7, 5, 5, 7, 7, 5, 6, 6, 6, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 0, 9, 9, 0, 1, 2, 9, 9, 0, 10, 10, 0, 1, 2, 1, 4, 4, 4, 4, 10, 10, 0, 11, 11, 0, 1, 2, 1, 4, 4, 4, 4, 11, 11, 0, 0, 12, 12, 0, 1, 2, 12, 12, 0, 13, 13, 0, 1, 2, 13, 13, 0, 14, 14, 0, 1, 2, 14, 14, 0, 15, 15, 0, 1, 2, 2, 15, 15, 3, 3, 2, 2, 0, 16, 16, 0, 1, 2, 1, 4, 16, 16, 0, 0, 0, 17, 17, 0, 1, 2, 1, 4, 17, 17, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 20, 20, 2, 1, 1, 1, 2, 2, 3, 3, 2, 20, 20, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 13, 13, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 15, 2, 1, 1, 1, 0, 0, 0, 0, 17, 1, 2, 1, 1, 19, 2, 1, 1, 1, 0, 0, 0, 0, 21, 2, 1, 0, 21, 21, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 5, 2, 21, 21, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 9, 9, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 1, 2, 1, 13, 13, 13, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 17, 2, 1, 1, 1, 0, 0, 0, 0, 19, 1, 2, 1, 1, 21, 2, 1, 1, 1, 0, 0, 0, 0, 23, 2, 1, 4, 4, 0, 2, 1, 1, 1, 0, 22, 22, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 5, 2, 22, 22, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 9, 9, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 1, 2, 1, 13, 13, 13, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 17, 2, 1, 1, 1, 0, 0, 0, 0, 19, 1, 2, 1, 1, 21, 2, 1, 1, 1, 0, 0, 0, 0, 23, 2, 1, 0, 23, 23, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 5, 2, 23, 23, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 9, 9, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 1, 2, 1, 13, 13, 13, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 16672, 203, 465, 2771, 2872, 203, 465, 2322, 203, 465, 22977, 203, 465, 29590, 203, 465, 18792, 203, 1070, 14785, 32, 2958, 32, 1040, 1188, 5239, 81, 18697, 203, 1070, 14785, 32, 4280, 32, 2282, 1188, 562, 81, 1237, 203, 1070, 14785, 32, 4280, 32, 2282, 1188, 29046, 203, 1070, 14785, 32, 4280, 32, 2180, 1188, 3693, 81, 10853, 203, 1070, 14785, 32, 4280, 32, 2180, 1188, 3693, 81, 7101, 81, 18498, 203, 1070, 14785, 32, 4280, 32, 2180, 1188, 4118, 203, 1070, 14785, 32, 4280, 32, 2180, 1188, 10191, 81, 2180, 203, 1070, 14785, 32, 4280, 32, 2180, 1188, 3619, 81, 6732, 81, 3922, 203, 589, 2866, 81, 2180, 26, 2024, 81, 1515, 30, 3083, 4118, 81, 1163, 30, 3083, 14465, 81, 12467, 30, 3083, 3051, 81, 1311, 1057, 7929, 4055, 370, 3083, 3233, 81, 25335, 47, 1815, 30, 3083, 4755, 81, 1237, 81, 983, 1057, 1237, 81, 2180, 33, 2958, 7831, 334, 415, 646, 2322, 32, 983, 32, 297, 3596, 26, 2024, 81, 1515, 711, 284, 3636, 10091, 27449, 2024, 81, 1515, 25, 2298, 526, 600, 7976, 1519, 5327, 96, 20, 3486, 313, 264, 1688, 81, 1515, 31197, 101, 7362, 904, 1688, 81, 1515, 27, 334, 415, 646, 2322, 32, 983, 32, 4658, 26, 2024, 81, 1515, 711, 284, 2322, 32, 27428, 26, 2024, 81, 1515, 27, 334, 2297, 81, 4915, 280, 2149, 334, 6977, 81, 452, 81, 761, 280, 2149, 334, 42006, 280, 1605, 334, 436, 3536, 81, 426, 30, 3619, 81, 1473, 328, 18792, 32, 40957, 26, 3922, 81, 1163, 32, 1055, 711, 284, 4118, 81, 1163, 32, 3576, 81, 15678, 32, 1700, 81, 1427, 81, 2620, 81, 426, 280, 3536, 81, 426, 284, 415, 3536, 81, 426, 328, 4118, 81, 1163, 32, 19992, 81, 1028, 44, 397, 4036, 284, 415, 646, 308, 4213, 81, 18697, 32, 297, 1647, 26, 978, 81, 1473, 27, 556, 5239, 81, 18697, 32, 297, 823, 26, 978, 81, 1473, 27, 556, 324, 4118, 32, 297, 81, 3994, 81, 1126, 26, 978, 81, 1473, 30, 3536, 81, 426, 30, 4118, 81, 1163, 32, 1055, 8531, 397, 4036, 284, 4755, 983, 280, 2322, 32, 983, 32, 2524, 26, 3922, 32, 10270, 81, 983, 26, 2620, 81, 426, 27, 20129, 37, 1130, 284, 6977, 81, 452, 81, 761, 77, 2620, 81, 426, 79, 280, 4755, 983, 284, 415, 5239, 81, 18697, 32, 297, 1647, 26, 978, 81, 1473, 711, 397, 415, 3536, 81, 426, 328, 4118, 81, 1163, 32, 3242, 44, 291, 2297, 81, 4915, 32, 37329, 26, 2620, 81, 426, 30, 11544, 284, 813, 44, 397, 1361, 426, 280, 596, 26, 2620, 81, 426, 27, 397, 2218, 2933, 44, 291, 1361, 426, 280, 1361, 426, 2867, 1113, 426, 32, 100, 1055, 3949, 12357, 291, 415, 5239, 81, 18697, 32, 297, 1647, 26, 3922, 81, 1163, 32, 1055, 77, 1113, 426, 10794, 616, 2297, 81, 4915, 32, 37329, 26, 1113, 426, 30, 36670, 1689, 26, 2620, 81, 426, 27 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 4, 4, 3, 5, 5, 5, 2, 2, 4, 4, 3, 4, 2, 2, 2, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 1, 1, 3, 4, 7, 8, 6, 7, 7, 6, 7, 7, 7, 6, 3, 3, 5, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 9, 9, 7, 2, 2, 3, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 3, 3, 7, 8, 7, 8, 8, 8, 7, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 4, 4, 2, 2, 3, 5, 5, 4, 4, 5, 5, 3, 3, 5, 6, 5, 7, 7, 7, 6, 7, 5, 3, 3, 9, 9, 8, 9, 9, 9, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 4, 4, 5, 7, 7, 6, 6, 8, 8, 7, 8, 8, 8, 5, 5, 5, 4, 4, 5, 6, 12, 12, 12, 11, 12, 12, 11, 12, 12, 12, 11, 9, 9, 12, 12, 11, 12, 12, 11, 12, 12, 12, 11, 8, 8, 8, 10, 11, 11, 11, 11, 11, 10, 11, 11, 11, 10, 10, 11, 11, 10, 10, 12, 12, 11, 12, 10, 5, 5, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 12, 12, 11, 12, 12, 12, 11, 9, 12, 9, 4, 4, 8, 8, 8, 8, 7, 8, 8, 8, 7, 6, 6, 7, 4, 4, 5, 8, 8, 7, 8, 8, 7, 8, 8, 8, 7, 5, 5, 7, 9, 9, 8, 8, 10, 10, 9, 10, 7, 7, 7, 12, 12, 11, 12, 11, 12, 12, 12, 11, 11, 5, 5, 6, 6, 6, 10, 9, 9, 11, 12, 12, 12, 11, 7, 7, 8, 8, 8, 8, 12, 11, 11, 13, 12, 16, 16, 15, 16, 16, 15, 17, 9, 9, 10, 13, 13, 12, 13, 13, 12, 15, 15, 15, 14, 15, 13, 14, 14, 13, 10, 10, 17, 17, 16, 17, 16, 17, 17, 16, 16, 15, 14, 15, 15, 15, 14 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 0, 0, 0, 0, 14, 14, 1, 2, 1, 4, 14, 14, 0, 15, 15, 1, 2, 1, 4, 15, 15, 0, 0, 0, 16, 16, 1, 2, 1, 4, 16, 16, 0, 0, 0, 0, 0, 17, 17, 1, 1, 2, 1, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 5, 5, 2, 2, 2, 0, 0, 7, 1, 1, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 0, 0, 0, 0, 11, 1, 1, 1, 1, 1, 2, 17, 17, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 5, 0, 0, 1, 1, 2, 2, 5, 5, 0, 2, 1, 0, 0, 0, 1, 2, 1, 5, 5, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 5, 5, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 5, 5, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 5, 2, 1, 2, 2, 5, 5, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 5, 5, 5, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 3, 3, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1 ]
[ 505, 2116, 505, 280, 330, 22012, 50, 2175, 32, 508, 308, 29338, 1813, 788, 624, 278, 9905, 203, 465, 2322, 203, 465, 485, 858, 81, 858, 81, 2304, 203, 1296, 81, 26499, 280, 2322, 32, 426, 610, 330, 566, 25, 203, 1296, 81, 32351, 280, 2322, 32, 426, 610, 330, 28950, 25, 461, 2322, 32, 26319, 8532, 34, 79, 610, 330, 12183, 25, 203, 12252, 280, 485, 858, 81, 858, 81, 2304, 32, 936, 1006, 23928, 1215, 463, 24707, 81, 2121, 81, 869, 81, 858, 81, 683, 203, 12757, 280, 2322, 32, 12757, 32, 2991, 346, 203, 589, 3175, 10096, 26, 3140, 30, 4648, 711, 334, 415, 2799, 863, 4648, 44, 284, 1459, 330, 7700, 44, 904, 101, 25, 904, 308, 3140, 21713, 284, 1459, 330, 225, 18915, 44, 904, 101, 25, 904, 308, 7975, 21713, 284, 3636, 34835, 203, 589, 1756, 6052, 1881, 26, 2121, 81, 869, 30, 786, 711, 334, 415, 786, 438, 646, 1665, 44, 284, 16277, 77, 2121, 81, 869, 79, 280, 786, 334, 4348, 4533, 81, 869, 328, 16277, 44, 284, 3555, 16277, 77, 2121, 81, 869, 79, 203, 589, 1390, 5260, 26, 4555, 711, 334, 2181, 280, 428, 12252, 79, 334, 415, 4655, 438, 646, 1665, 44, 284, 2181, 1454, 428, 4555, 79, 334, 442, 485, 858, 81, 858, 81, 2304, 32, 1721, 2416, 26, 1132, 30, 4533, 47, 12757, 30, 9474, 12847, 81, 8228, 47, 2700, 547, 2024, 203, 589, 2108, 5260, 26, 4555, 30, 894, 81, 695, 30, 1244, 81, 695, 711, 334, 4533, 81, 869, 280, 330, 57, 3765, 16436, 474, 4655, 32, 7607, 346, 334, 1756, 6052, 1881, 26, 2121, 81, 869, 30, 894, 81, 695, 27, 334, 3175, 10096, 26, 858, 81, 695, 30, 1390, 5260, 26, 4555, 490, 334, 1756, 6052, 1881, 26, 2121, 81, 869, 30, 1665, 27, 334, 3175, 10096, 26, 1536, 81, 695, 30, 1390, 5260, 26, 4555, 490, 203, 823, 570, 1006, 6052, 1881, 1006, 26, 24707, 81, 858, 81, 2304, 32, 7233, 711, 334, 665, 894, 6052, 1881, 51, 2545, 101, 5260, 26, 784, 711, 284, 2108, 5260, 463, 2969, 81, 267, 81, 11879, 370, 330, 35, 370, 330, 34, 683, 284, 2108, 5260, 463, 1489, 370, 330, 7134, 370, 330, 2837, 683, 284, 2108, 5260, 463, 2029, 370, 330, 13611, 1006, 32, 2900, 370, 13838, 683, 284, 2108, 5260, 463, 2024, 370, 330, 2593, 44, 2868, 33, 3986, 32, 2593, 370, 9142, 284, 2108, 5260, 463, 1216, 81, 1003, 370, 330, 34, 370, 330, 35, 683, 284, 2108, 5260, 463, 8101, 370, 330, 43, 43, 43, 370, 330, 35, 683, 284, 2108, 5260, 463, 5261, 81, 267, 81, 11879, 370, 330, 35, 370, 330, 34, 683, 284, 2108, 5260, 463, 22522, 81, 858, 81, 1621, 370, 330, 3426, 4770, 370, 330, 6579, 683, 284, 2108, 5260, 463, 5628, 81, 11452, 370, 330, 34, 370, 330, 35, 683, 284, 415, 2756, 81, 32351, 44, 397, 2108, 5260, 463, 22522, 81, 858, 81, 539, 81, 15793, 370, 330, 35, 370, 330, 34, 683, 397, 2108, 5260, 463, 3034, 81, 5707, 81, 6299, 370, 330, 34, 370 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 5, 3, 3, 5, 5, 0, 3, 3, 3, 2, 2, 5, 6, 4, 4, 6, 6, 3, 3, 7, 8, 7, 6, 5, 4, 4, 6, 6, 0, 3, 2, 2, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 5, 6, 4, 5, 4, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 8, 8, 8, 8, 8, 6, 6, 8, 7, 4, 4, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 7, 4, 4, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 3, 4, 4, 4, 3, 3, 3, 7, 8, 8, 8, 7, 6, 6, 3, 3, 4, 6, 6, 5, 5, 4, 4, 4, 6, 7, 8, 8, 8, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 5, 2, 2, 3, 4, 4, 4, 3, 3, 3, 6, 6, 8, 7, 2, 2, 3, 7, 7, 7, 7, 7, 6, 7, 7, 6, 7, 6, 6, 7, 8, 6, 6, 6, 8, 8, 7, 8, 6, 5, 0, 1, 1, 2, 2, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 7, 7, 7, 5, 5, 7, 8, 7, 2, 2, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 5, 2, 2, 5, 5, 6, 6, 6, 5, 5, 7, 7, 8, 7, 2, 2, 5, 5, 5, 6, 6, 6, 5, 5, 5, 2, 2, 5, 5, 6, 6, 6, 5, 5, 7, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 7, 7, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 4, 4, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 7, 9, 9, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 7, 7, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 4, 4, 7, 7, 9, 9, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 5, 6, 6, 5, 5, 5, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 9, 11, 11, 6, 6, 9, 9, 11, 11, 11, 11, 11, 11, 9, 11, 11 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 7, 7, 1, 2, 1, 2, 2, 2, 7, 7, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 2, 0, 8, 8, 1, 1, 2, 1, 1, 1, 2, 2, 2, 8, 8, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 4, 0, 0, 1, 1, 4, 4, 4, 0, 1, 2, 2, 2, 1, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 4, 4, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 5, 2, 1, 2, 0, 10, 10, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 10, 10, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 11, 11, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 11, 11, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 9, 1, 1, 9, 9, 9, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2 ]
[ 465, 5237, 203, 465, 1133, 203, 465, 15798, 203, 465, 5839, 81, 2872, 81, 2675, 619, 343, 317, 81, 1647, 203, 13068, 26, 86, 317, 81, 1647, 27, 203, 823, 21878, 3665, 9784, 1006, 26, 18986, 32, 7233, 711, 334, 665, 14553, 26, 784, 711, 284, 313, 1006, 420, 18182, 436, 343, 317, 81, 1647, 3107, 284, 630, 32, 86, 317, 280, 343, 317, 81, 1647, 32, 4903, 81, 2872, 81, 2675, 346, 334, 665, 5839, 81, 36005, 21218, 26, 784, 30, 47086, 711, 284, 1344, 35, 280, 3330, 284, 1344, 36, 280, 3330, 284, 436, 816, 328, 2155, 26, 34, 30, 2069, 26, 27726, 2548, 8531, 397, 415, 47086, 77, 106, 1674, 34, 79, 863, 343, 317, 81, 1647, 32, 4903, 81, 2872, 81, 2675, 32, 30064, 81, 2631, 44, 291, 1344, 35, 1454, 47086, 77, 106, 1674, 35, 79, 397, 415, 47086, 77, 106, 1674, 34, 79, 863, 343, 317, 81, 1647, 32, 4903, 81, 2872, 81, 2675, 32, 30064, 81, 6691, 44, 291, 1344, 36, 1454, 47086, 77, 106, 1674, 35, 79, 284, 442, 308, 878, 35, 30, 1344, 36, 27, 203, 823, 21878, 1006, 26, 7832, 3665, 9784, 1006, 711, 334, 665, 894, 7832, 5240, 5419, 26, 784, 711, 284, 630, 32, 4983, 26, 34, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 5419, 440, 8183, 392, 313, 11469, 2131, 284, 630, 32, 4983, 26, 38, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 5419, 440, 35, 36, 37, 38, 25870, 392, 313, 35, 36, 37, 38, 11469, 2131, 284, 630, 32, 4983, 26, 38, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 5419, 440, 35, 36, 37, 38, 392, 313, 35, 36, 37, 38, 11469, 2131, 334, 665, 894, 7832, 5240, 14059, 26, 784, 711, 284, 630, 32, 4983, 26, 34, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 14059, 440, 8183, 392, 313, 11469, 2131, 284, 630, 32, 4983, 26, 38, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 14059, 440, 25870, 35, 36, 37, 38, 392, 313, 11469, 35, 36, 37, 38, 2131, 284, 630, 32, 4983, 26, 38, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 14059, 440, 35, 36, 37, 38, 392, 313, 11469, 35, 36, 37, 38, 2131, 334, 665, 894, 7832, 5240, 31057, 26, 784, 711, 284, 630, 32, 4983, 26, 34, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 31057, 13961, 313, 34439, 2131, 284, 630, 32, 4983, 26, 37, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 31057, 440, 8183, 392, 313, 34439, 2131, 284, 630, 32, 4983, 26, 34, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 31057, 440, 35, 36, 37, 38, 39, 40, 392, 313, 34439, 2131, 284, 630, 32, 4983, 26, 37, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 31057, 440, 35, 36, 37, 38, 39, 40, 10492, 392, 313, 10492, 34439, 2131, 284, 630, 32, 4983, 26, 34, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 31057, 440, 5501, 392, 1044, 7646, 103, 4342, 34, 35, 91, 2131, 334, 665, 894, 7832 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 4, 4, 4, 2, 2, 3, 3, 3, 0, 3, 3, 4, 4, 4, 4, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 4, 4, 7, 6, 6, 4, 4, 5, 5, 5, 7, 8, 7, 7, 9, 10, 10, 9, 5, 5, 7, 10, 11, 10, 10, 9, 8, 8, 11, 11, 11, 10, 11, 11, 11, 11, 11, 9, 10, 10, 10, 7, 7, 7, 11, 10, 10, 12, 13, 12, 12, 11, 6, 6, 7, 10, 11, 10, 10, 9, 8, 8, 11, 11, 11, 10, 11, 11, 11, 11, 11, 9, 10, 10, 10, 7, 7, 7, 11, 10, 10, 12, 13, 12, 12, 11, 4, 4, 5, 7, 7, 6, 6, 7, 6, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 9, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 9, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 9, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 9, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 9, 11, 12, 12, 12, 12, 11, 11, 2, 2, 3, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 5, 5, 1, 1, 1, 2, 0, 1, 2, 2, 5, 5, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 5, 5, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 4, 4, 3, 1, 1, 1, 1, 3, 1, 0, 6, 6, 1, 2, 1, 1, 1, 1, 2, 6, 6, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 4, 4, 3, 1 ]
[ 9592, 971, 366, 1543, 372, 1389, 963, 2179, 436, 1156, 1126, 81, 10899, 505, 5045, 821, 943, 203, 1028, 2491, 803, 32, 203, 9592, 203, 1070, 1156, 9666, 505, 1188, 20654, 30, 1459, 81, 1126, 30, 7976, 81, 465, 203, 1070, 2322, 32, 983, 1188, 7140, 619, 298, 2524, 30, 24797, 203, 465, 5237, 203, 1070, 3363, 1188, 18394, 2338, 203, 1070, 6436, 32, 4266, 1188, 766, 275, 1201, 81, 955, 81, 2228, 30, 766, 275, 1201, 81, 955, 81, 37368, 81, 2228, 30, 766, 275, 1201, 81, 2228, 30, 766, 275, 1201, 81, 16708, 30, 1420, 81, 1647, 81, 9089, 203, 1070, 46624, 32, 4280, 1188, 1201, 81, 1508, 203, 465, 6436, 619, 2065, 203, 1070, 6436, 32, 8524, 1188, 619, 466, 203, 1070, 18414, 32, 716, 32, 39141, 32, 34725, 39, 1188, 5850, 4785, 959, 30, 5850, 974, 39, 3976, 30, 766, 397, 5850, 974, 39, 3300, 30, 5850, 4785, 2447, 203, 858, 81, 605, 81, 983, 280, 298, 2524, 26, 7781, 4064, 761, 36762, 330, 605, 683, 203, 589, 1491, 81, 43452, 269, 81, 6862, 26, 100, 3513, 711, 284, 540, 3513, 32, 8788, 81, 850, 346, 284, 345, 2665, 280, 5053, 505, 19981, 14935, 1605, 111, 284, 595, 280, 225, 34, 284, 2218, 646, 540, 3513, 32, 416, 81, 1028, 81, 2238, 2262, 291, 26427, 30, 2354, 81, 2705, 280, 540, 3513, 32, 850, 81, 869, 81, 2111, 346, 291, 636, 280, 619, 466, 26, 11642, 32, 426, 27, 291, 415, 636, 610, 40496, 324, 636, 280, 330, 869, 16335, 86, 25, 904, 595, 324, 595, 1454, 225, 35, 291, 736, 280, 540, 3513, 32, 850, 81, 869, 81, 955, 26, 11642, 30, 2164, 47, 2700, 27, 291, 540, 3513, 32, 1287, 81, 2238, 32, 14408, 26, 1978, 81, 2705, 27, 291, 345, 2665, 77, 426, 79, 280, 736, 291, 415, 26427, 32, 297, 81, 3264, 44, 324, 345, 2665, 710, 505, 19981, 505, 5695, 1689, 26, 426, 27, 284, 442, 345, 2665, 203, 589, 1491, 81, 10899, 81, 6862, 26, 10555, 711, 284, 11828, 280, 2156, 26, 10555, 30, 330, 4506, 683, 284, 540, 3513, 280, 5850, 974, 39, 3300, 26, 4426, 30, 1671, 81, 302, 81, 4133, 47, 1815, 27, 284, 14447, 280, 540, 3513, 32, 371, 81, 9578, 346, 284, 296, 3604, 280, 14447, 710, 505, 1126, 81, 10899, 505, 785, 284, 13215, 81, 3883, 280, 18394, 2338, 26, 88, 3604, 32, 41243, 1157, 284, 13215, 81, 3883, 32, 14408, 26, 36, 27, 284, 540, 3513, 32, 1287, 81, 2238, 280, 13215, 81, 3883, 284, 12905, 280, 540, 3513, 32, 1287, 81, 2238, 32, 850, 26, 36, 27, 284, 540, 3513, 32, 2263, 81, 1174, 280, 12905, 610, 323, 25, 2331, 25, 461, 4145, 25, 556, 330, 6457, 284, 540, 3513, 32, 1287, 81, 2238, 32, 850, 26, 38, 27, 10065, 345, 2665, 280, 1491, 81, 43452, 269, 81, 6862, 26, 100, 3513, 27, 284, 11828, 32, 2679, 346, 284, 442, 345, 2665, 203, 589, 894, 81, 92, 366, 1543, 2262, 284, 18146, 280, 298, 2524, 26, 858, 81, 605, 81, 983, 30, 330, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 6, 6, 7, 7, 4, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 6, 5, 6, 6, 6, 5, 2, 2, 5, 4, 4, 8, 8, 8, 6, 5, 2, 2, 4, 4, 5, 2, 2, 3, 4, 7, 6, 7, 7, 7, 7, 7, 6, 3, 3, 7, 7, 8, 8, 6, 6, 9, 8, 9, 9, 9, 9, 9, 8, 4, 4, 6, 6, 8, 8, 10, 9, 10, 8, 4, 4, 5, 6, 6, 5, 5, 8, 8, 11, 11, 11, 11, 9, 9, 6, 6, 8, 8, 9, 4, 4, 6, 6, 9, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 10, 8, 4, 4, 9, 8, 9, 9, 9, 7, 8, 7, 8, 8, 8, 7, 4, 4, 8, 7, 8, 7, 6, 6, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 11, 10, 12, 12, 12, 12, 10, 9, 10, 9, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 6, 8, 8, 2, 2, 5, 4, 4, 6, 6, 6, 6, 7, 6, 6, 8, 8, 8, 8, 7, 8, 6, 2, 2, 4, 4, 7, 6, 7, 7, 7, 6, 2, 2, 5, 4, 4, 5, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 9, 9, 8, 9, 8, 2, 2, 6, 6, 5, 6, 5, 6, 5, 2, 2, 6, 5, 6, 6, 6, 4, 4, 5, 5, 2, 2, 4, 4, 8, 7, 8, 8, 8, 6, 7, 6, 7, 6, 2, 2, 6, 5, 6, 6, 6, 4, 4, 7, 7, 9, 9, 9, 6, 6, 8, 5, 5, 7, 2, 2, 7, 6, 7, 7, 7, 5, 6, 5, 6, 5, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 7, 6, 2, 2, 5, 6, 5, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 7, 7, 7, 7, 7, 6, 6, 8 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 3, 3, 2, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 0, 5, 5, 1, 2, 5, 5, 3, 5, 0, 0, 0, 0, 5, 5, 6, 5, 0, 0, 0, 0, 0, 0, 5, 5, 9, 5, 0, 0, 5, 5, 12, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 7, 7, 1, 1, 0, 8, 8, 1, 2, 8, 8, 0, 0, 9, 9, 1, 2, 1, 4, 1, 6, 6, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 7, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 11, 11, 1, 1, 1, 1, 1, 2, 1, 1, 2, 11, 11, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 3, 1, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 0, 0, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 3, 3, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 0, 0, 0, 3, 3, 6, 1, 2, 2, 2, 6, 6, 6, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 4, 1, 0, 12, 12, 1, 1, 1, 1, 2, 1, 2, 12, 12, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 12, 1, 0, 13, 13, 1, 1, 1, 1, 2, 13, 13, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9592, 203, 858, 81, 37001, 762, 467, 279, 32, 978, 3486, 13182, 6753, 3083, 2821, 423, 499, 33841, 225, 36, 34, 35, 40, 3083, 2640, 1468, 499, 308, 53, 27, 225, 36, 34, 35, 40, 5850, 349, 3224, 1224, 103, 12699, 3083, 4096, 2071, 499, 2491, 349, 3224, 50, 13064, 297, 32, 380, 203, 13540, 326, 203, 319, 41165, 319, 203, 319, 261, 1348, 3460, 438, 3741, 2932, 45, 844, 883, 14086, 561, 461, 33, 271, 5351, 225, 319, 203, 319, 261, 561, 1531, 322, 5955, 432, 322, 6987, 6146, 5056, 1177, 619, 9581, 810, 225, 319, 203, 319, 261, 322, 7823, 3859, 7113, 45, 3154, 1503, 225, 36, 432, 322, 1177, 30, 556, 262, 319, 203, 319, 261, 308, 269, 1370, 2470, 27, 1346, 6125, 1503, 32, 19075, 319, 203, 319, 41165, 319, 203, 13540, 15725, 203, 9592, 203, 465, 2678, 21031, 261, 203, 1070, 2678, 21031, 32, 4266, 1188, 15798, 203, 1070, 2678, 21031, 32, 1262, 1188, 1910, 5360, 7556, 3487, 30, 1910, 5360, 3487, 203, 823, 2108, 67, 5360, 7556, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 3097, 284, 665, 28921, 26, 784, 711, 291, 3097, 284, 665, 894, 67, 5360, 7556, 3487, 26, 784, 711, 291, 2919, 280, 1910, 5360, 7556, 3487, 346, 291, 630, 32, 14846, 26, 2215, 32, 6565, 1157, 291, 2919, 280, 1910, 5360, 7556, 3487, 26, 67, 5360, 3487, 463, 1508, 2847, 291, 630, 32, 6549, 26, 2215, 32, 6565, 1157, 291, 630, 32, 5299, 26, 2215, 32, 605, 922, 7672, 1026, 330, 1508, 683, 291, 2919, 32, 18836, 26, 2700, 27, 291, 630, 32, 14846, 26, 2215, 32, 6565, 1157, 291, 630, 32, 5299, 26, 2215, 32, 605, 922, 7672, 1026, 330, 1508, 683, 291, 2919, 32, 18836, 26, 1815, 27, 291, 630, 32, 6549, 26, 2215, 32, 6565, 1157, 291, 630, 32, 5299, 26, 2215, 32, 605, 922, 7672, 1026, 330, 1508, 683, 291, 2919, 32, 18768, 26, 67, 5360, 3487, 463, 11469, 2847, 291, 630, 32, 6549, 26, 2215, 32, 6565, 1157, 291, 630, 32, 5299, 26, 2215, 32, 605, 922, 7672, 1026, 330, 11469, 683, 291, 2919, 280, 1910, 5360, 7556, 3487, 26, 67, 5360, 3487, 463, 1508, 1425, 3177, 27, 291, 630, 32, 14846, 26, 2215, 32, 6565, 1157, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 15798, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 0, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 4, 4, 7, 8, 7, 10, 9, 10, 9, 4, 4, 6, 6, 8, 8, 8, 8, 10, 10, 10, 10, 12, 12, 4, 4, 7, 8, 7, 10, 9, 10, 9, 4, 4, 7, 8, 7, 12, 11, 12, 11, 10, 9, 7, 9, 9, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 9, 4, 4, 7, 8, 7, 12, 11, 12, 11, 10, 9, 7, 9, 9, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 9, 4, 4, 7, 8, 7, 12, 11, 12, 11, 10, 9, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 11, 11, 4, 4, 7, 8, 7, 10, 9, 10, 9, 4, 4, 7, 8, 7, 12, 11, 12, 11, 10, 9, 7, 9, 9, 4, 4, 6, 6, 8, 8, 8, 8, 10, 10, 10, 10, 12, 12, 8, 8, 4, 4, 7, 8, 7, 10, 9, 10, 9, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 2, 1, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 0, 5, 5, 0, 0, 1, 1, 1, 1, 5, 5, 0, 2, 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 ]
[ 465, 5741, 203, 1070, 2676, 3773, 978, 32, 3732, 32, 7439, 32, 9436, 2997, 1188, 7400, 3533, 203, 1070, 2676, 3773, 978, 32, 3732, 32, 7439, 32, 2184, 1188, 11024, 203, 81, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 5238, 26, 5584, 3533, 711, 284, 477, 17614, 284, 665, 2075, 26, 6933, 711, 291, 442, 7400, 3533, 32, 2184, 346, 474, 428, 324, 11024, 32, 1832, 30, 324, 11024, 32, 22290, 30, 324, 11024, 32, 1832, 81, 1621, 30, 291, 1481, 284, 665, 1968, 26, 784, 30, 1968, 81, 1621, 711, 291, 4706, 280, 630, 1114, 3732, 32, 2991, 81, 1700, 81, 9236, 346, 291, 4706, 32, 5820, 81, 14341, 81, 11383, 25072, 346, 291, 4533, 280, 4706, 32, 452, 81, 11702, 346, 291, 1968, 81, 7524, 81, 2501, 280, 630, 1114, 3732, 32, 15040, 81, 625, 922, 1832, 81, 7524, 81, 2501, 26, 1832, 81, 1621, 47, 1832, 81, 1621, 27, 291, 630, 1114, 3732, 32, 2493, 19290, 32, 1945, 81, 363, 81, 5261, 81, 325, 81, 5066, 26, 1832, 81, 7524, 81, 2501, 30, 630, 1114, 2184, 32, 22290, 30, 324, 24390, 47, 784, 1114, 3732, 32, 24364, 922, 15199, 81, 2388, 30, 4533, 47, 2121, 27, 284, 665, 1420, 26, 784, 30, 1603, 711, 291, 415, 646, 630, 1114, 2184, 32, 1832, 44, 324, 442, 291, 617, 751, 32, 1338, 440, 15008, 3704, 7175, 657, 291, 415, 630, 1114, 2184, 32, 1832, 81, 1621, 610, 313, 16361, 563, 324, 630, 32, 1832, 440, 2811, 657, 324, 630, 32, 1832, 440, 3779, 657, 291, 813, 44, 324, 630, 32, 1832, 26, 784, 1114, 2184, 32, 1832, 81, 1621, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 10, 9, 10, 9, 7, 7, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 11, 12, 10, 11, 11, 11, 10, 9, 9, 9, 9, 9, 8, 10, 10, 10, 9, 10, 10, 10, 8, 4, 4, 9, 10, 8, 9, 9, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 7, 9, 10, 8, 9, 7, 7, 7, 8, 13, 12, 13, 11, 12, 11, 10, 10, 10, 7, 7, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 7, 8, 5, 5, 5, 4, 4, 8, 7, 8, 7, 9, 9, 9, 9, 4, 4, 5, 8, 9, 7, 8, 8, 8, 6, 6, 8, 8, 5, 5, 9, 10, 9, 11, 11, 6, 6, 9, 10, 9, 11, 11, 5, 5, 6, 6, 6, 10, 11, 10, 13, 12, 13, 11, 12, 12, 12, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 1, 2, 1, 4, 1, 6, 6, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 4, 1, 6, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 4, 4, 2, 1, 1, 2, 4, 4, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 4, 4, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 3, 2, 1, 1, 1, 5, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 7, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 4, 4, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 3, 3, 0, 2, 1, 1, 2, 2, 2, 4, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 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 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 15390, 81, 30839, 203, 465, 7138, 203, 465, 11259, 203, 465, 2322, 203, 465, 2322, 32, 983, 619, 1519, 203, 465, 5624, 203, 465, 22977, 203, 465, 16539, 203, 465, 5237, 203, 465, 18792, 32, 21332, 32, 39362, 619, 22045, 203, 465, 8529, 761, 203, 465, 6314, 203, 1070, 1133, 1188, 1133, 203, 1070, 39523, 32, 28497, 1188, 308, 284, 5718, 3484, 30, 284, 5718, 2570, 30, 284, 5718, 30, 203, 27, 203, 1070, 39523, 32, 12076, 15579, 1188, 22284, 15579, 203, 1070, 39523, 81, 5172, 1188, 617, 371, 81, 2493, 81, 983, 203, 1070, 43265, 32, 2501, 81, 1439, 1188, 5718, 1761, 30, 9098, 30, 1476, 30, 1505, 81, 1851, 30, 5489, 81, 452, 81, 983, 81, 2121, 30, 485, 20250, 81, 2388, 203, 1070, 43265, 32, 89, 20250, 1188, 11305, 81, 9685, 101, 30, 11305, 81, 5558, 30, 6424, 500, 81, 7032, 8820, 30, 6424, 500, 81, 5558, 203, 1070, 43265, 32, 1040, 1188, 3408, 81, 31160, 203, 589, 2179, 81, 6932, 26, 6360, 711, 284, 442, 596, 26, 6665, 32, 32888, 26, 6360, 47, 410, 26, 6360, 2610, 203, 589, 11748, 81, 4783, 26, 1311, 30, 1344, 711, 284, 1596, 44, 291, 1188, 41624, 291, 6866, 280, 41624, 32, 3135, 5990, 346, 291, 11748, 81, 2067, 280, 6866, 32, 371, 81, 1473, 440, 1088, 32, 3994, 10953, 32, 16488, 392, 2430, 1088, 33, 3994, 10953, 33, 16488, 657, 291, 1411, 280, 11748, 81, 2067, 32, 371, 81, 26945, 81, 1959, 440, 11606, 392, 313, 1088, 32, 3994, 10953, 32, 16488, 657, 291, 1411, 26, 1311, 30, 225, 34, 30, 4320, 1344, 30, 4320, 5518, 3447, 36767, 563, 2933, 835, 429, 35, 27, 284, 2940, 29986, 44, 291, 3636, 3268, 440, 7556, 4865, 2297, 330, 26945, 25, 438, 646, 6713, 7144, 203, 589, 11748, 81, 4463, 26, 1311, 30, 1344, 711, 284, 1596, 44, 291, 645, 43265, 32, 4463, 37, 36, 81, 21423, 1188, 4017, 15038, 291, 341, 280, 4017, 15038, 346, 291, 341, 32, 9922, 32367, 81, 3961, 26, 1311, 30, 1344, 27, 284, 2940, 23850, 44, 291, 645, 26015, 1188, 19247, 30, 23105, 611, 30, 5268, 5451, 30, 3744, 291, 645, 26015, 32, 105, 410, 1690, 1188, 10835, 30, 33832, 30, 13437, 6439, 9926, 30, 13245, 30, 8120, 291, 443, 12943, 7877, 18362, 26, 8634, 711, 324, 617, 4151, 81, 280, 428, 440, 2500, 1250, 392, 8120, 471, 715, 2884, 24293, 392, 33832, 471, 715, 2884, 7955, 4629, 392, 10835, 471, 715, 2884, 103, 1534, 392, 8120, 471, 715, 2884, 7955, 4276, 392, 10835, 2177, 291, 25055, 1669, 571, 3489, 280, 13437, 6439, 9926, 26, 9053, 30, 5268, 5451, 26, 30720, 18362, 490, 291, 25055, 1669, 571, 280, 25055, 1669, 571, 3489, 26146, 15313, 1669, 571, 392, 23105, 611, 32, 496, 37, 36, 490, 291, 12943, 7877, 73, 81, 11886, 5072, 280, 225, 34, 106, 34, 35, 291, 12943, 7877, 73, 81, 1310, 2730, 280, 225, 34, 106, 34, 36, 291, 12943, 7877, 73, 81, 12551, 8205, 2109, 57, 280, 225, 34, 106, 34, 53, 291, 2803, 280, 12943 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 4, 3, 4, 2, 2, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 8, 7, 8, 7, 9, 8, 10, 10, 11, 10, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 3, 3, 5, 4, 4, 6, 6, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 11, 11, 9, 8, 7, 9, 7, 3, 3, 4, 4, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 3, 3, 5, 6, 7, 7, 7, 7, 7, 5, 5, 7, 4, 4, 6, 6, 8, 8, 4, 4, 7, 8, 8, 8, 8, 7, 8, 7, 7, 7, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 8, 6, 6, 8, 6, 6, 5, 5, 6, 7, 8, 8, 8, 6, 6, 6, 6, 6, 6, 8, 8, 6, 6, 6, 6, 5, 5, 6, 7, 7, 7, 8, 7, 6, 6, 10, 10, 9, 9, 11, 13, 13, 13, 11, 11, 10, 10, 13, 13, 11, 11, 10, 10, 13, 13, 13, 11, 11, 10, 10, 13, 13, 13, 11, 11, 10, 10, 13, 13, 13, 11, 11, 5, 5, 8, 8, 8, 7, 7, 9, 9, 9, 10, 9, 9, 11, 11, 12, 12, 11, 5, 5, 8, 8, 7, 7, 9, 9, 9, 9, 12, 12, 12, 12, 10, 12, 11, 12, 12, 12, 10, 5, 5, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 5, 5, 7, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 2, 1, 1, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 2, 0, 4, 1, 1, 0, 10, 10, 0, 0, 11, 11, 0, 12, 12, 12, 12, 0, 13, 13, 1, 2, 13, 13, 13, 13, 0, 13, 13, 13, 0, 13, 13, 13, 13, 13, 13, 0, 14, 14, 1, 2, 2, 14, 14, 0, 0, 15, 15, 0, 0, 15, 15, 0, 0, 0, 0, 0, 0, 16, 16, 1, 2, 2, 2, 16, 16, 0, 16, 16, 16, 16, 16, 16, 0, 0, 16, 16, 0, 0, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 17, 17, 1, 2, 2, 17, 17, 0, 0, 0, 17, 17, 0, 0, 17, 17, 0, 0, 0, 0, 17, 17, 0, 0, 0, 0, 18, 18, 1, 2, 18, 18, 0, 0, 0, 19, 19, 1, 1, 2, 1, 2, 19, 19, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 20, 20, 1, 1, 2, 1, 2, 2, 2, 20, 20, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 13, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 21, 21, 1, 1, 2, 1, 2, 2, 2, 21, 21, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 3, 3, 2, 2, 1, 1, 2, 5, 5, 2, 2, 1, 1, 2, 7, 7, 2, 2, 1, 1, 2, 9, 9, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 3, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0 ]
[ 465, 12643, 203, 465, 5741, 203, 465, 2156, 28803, 1173, 81, 44934, 81, 605, 203, 1070, 2156, 28803, 1173, 81, 44934, 81, 605, 32, 1131, 81, 605, 81, 29822, 1188, 622, 81, 1131, 81, 605, 81, 1744, 203, 1070, 2156, 28803, 1173, 81, 44934, 81, 605, 32, 8841, 40381, 1188, 36532, 17591, 203, 1070, 2156, 28803, 1173, 81, 1262, 32, 27244, 1188, 10858, 81, 3306, 203, 1070, 41896, 81, 1007, 32, 2304, 1188, 645, 81, 22355, 81, 452, 81, 605, 81, 1744, 81, 1170, 81, 2225, 81, 678, 81, 25857, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 589, 645, 81, 1131, 81, 1479, 81, 452, 81, 2225, 81, 678, 81, 25857, 81, 1479, 26, 1131, 81, 605, 81, 1744, 30, 13121, 81, 45578, 81, 2946, 30, 14457, 30, 1654, 81, 302, 81, 1131, 81, 9578, 280, 1665, 711, 284, 5881, 284, 2556, 35694, 13177, 6233, 2093, 303, 44, 291, 11538, 1509, 81, 605, 81, 1744, 291, 11538, 35602, 3975, 4886, 41179, 670, 48325, 2971, 999, 6050, 1663, 43066, 532, 6233, 2093, 303, 999, 13121, 81, 45578, 81, 2946, 284, 2194, 325, 44, 43801, 11538, 1509, 81, 605, 81, 1744, 81, 1170, 81, 2225, 81, 678, 81, 25857, 291, 6415, 2093, 303, 931, 9089, 43801, 11538, 225, 36, 87, 27544, 12990, 1630, 31933, 31410, 5018, 931, 2629, 291, 5881, 284, 1201, 1509, 81, 605, 81, 1744, 438, 646, 1665, 284, 1201, 13121, 81, 45578, 81, 2946, 438, 646, 1665, 284, 804, 81, 9578, 280, 428, 291, 4422, 32, 1055, 81, 979, 81, 6416, 81, 4502, 81, 426, 436, 4422, 328, 14457, 32, 2225, 81, 1170, 81, 678, 81, 37579, 32, 2810, 346, 291, 415, 646, 4422, 32, 297, 81, 44536, 81, 2225, 79, 284, 4203, 81, 9578, 280, 428, 291, 4422, 32, 4298, 81, 979, 81, 6416, 81, 4502, 81, 426, 436, 4422, 328, 14457, 32, 2225, 81, 1170, 81, 678, 81, 37579, 32, 2810, 346, 291, 415, 646, 4422, 32, 297, 81, 44536, 81, 2225, 79, 284, 2623, 81, 1170, 81, 426, 280, 13121, 81, 45578, 81, 2946, 32, 2592, 81, 1170, 81, 426, 203, 21, 264, 556, 2623, 81, 426, 328, 1509, 81, 605, 81, 1744, 44, 291, 415, 2623, 81, 426, 646, 328, 2623, 81, 1170, 81, 426, 44, 324, 1245, 32, 1338, 463, 5842, 2623, 19436, 20, 328, 22153, 30, 23126, 645, 1509, 1858, 2473, 1643, 26, 2592, 81, 426, 490, 324, 588, 4465, 958, 1509, 81, 605, 81, 1744, 280, 1509, 81, 605, 81, 1744, 32, 3798, 26, 2592, 81, 426, 30, 6013, 280, 225, 35, 27, 324, 588, 1717, 328, 225, 540, 2623, 81, 426, 328, 1509, 81, 605, 81, 1744, 44, 291, 415, 2623, 81, 426, 328, 804, 81, 9578, 474, 4203, 81, 9578, 44, 324, 4036, 203, 21, 10766, 44, 3389, 588, 1717, 328, 5981, 100, 4422, 328, 14457, 32, 2225, 81, 1170, 81, 678, 81, 37579, 32, 2810, 2262, 291, 415, 4422, 32, 297, 81, 44536, 81, 2225, 44, 324, 4422, 32, 998, 280, 4422, 32, 2997, 81, 891, 280, 2069, 26, 1131, 81, 605, 81, 1744, 27, 291, 813, 44 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 4, 5, 3, 3, 3, 5, 5, 5, 5, 4, 4, 5, 2, 2, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 5, 5, 6, 9, 9, 9, 9, 9, 9, 9, 9, 5, 2, 5, 5, 5, 5, 5, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 5, 5, 6, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 7, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 10, 10, 10, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 5, 6, 6, 6, 3, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 8, 8, 8, 8, 9, 9, 8, 9, 9, 9, 7, 7, 10, 10, 10, 10, 10, 10, 3, 3 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 5, 5, 0, 0, 0, 0, 1, 2, 5, 5, 0, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 7, 7, 2, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 7, 7, 7, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 8, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 10, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 10, 10 ]
[ 1277, 14279, 20, 203, 465, 2322, 203, 465, 5237, 203, 465, 485, 8389, 32, 2501, 81, 34745, 619, 41781, 1970, 203, 1070, 485, 8389, 32, 9508, 32, 2912, 1188, 5575, 3216, 924, 203, 1070, 485, 8389, 32, 1163, 1188, 570, 8389, 2828, 2825, 37134, 2531, 30, 570, 8389, 2828, 1564, 203, 1070, 485, 8389, 32, 4275, 1188, 570, 8389, 924, 203, 465, 485, 8389, 32, 751, 203, 1070, 485, 8389, 32, 8121, 32, 2282, 1188, 15454, 11953, 203, 1070, 485, 8389, 32, 9508, 32, 24654, 2912, 1188, 22474, 975, 37134, 2531, 7546, 3216, 203, 1070, 485, 8389, 32, 8121, 32, 465, 81, 3831, 1188, 308, 20013, 81, 6586, 81, 6077, 30, 9474, 2364, 465, 81, 7133, 30, 9474, 739, 81, 30149, 81, 6426, 81, 2184, 30, 9474, 34524, 27, 203, 589, 622, 81, 3375, 81, 363, 81, 1648, 81, 452, 81, 6077, 26, 6426, 30, 2075, 711, 284, 313, 264, 1503, 280, 2075, 32, 1648, 284, 415, 2075, 32, 23782, 81, 3242, 32, 7607, 346, 610, 330, 4530, 950, 291, 588, 351, 415, 646, 2075, 32, 1648, 44, 324, 3636, 570, 8389, 924, 440, 2023, 17135, 1503, 2702, 30, 1596, 429, 103, 46, 1648, 19830, 291, 4583, 280, 5867, 32, 1648, 81, 452, 81, 2142, 26, 2184, 32, 23782, 81, 2142, 30, 2075, 32, 1648, 27, 284, 4348, 2075, 32, 23782, 81, 3242, 32, 7607, 346, 610, 330, 23833, 950, 291, 588, 351, 415, 646, 5867, 32, 2040, 81, 6586, 26, 2184, 32, 23782, 81, 6586, 711, 324, 3636, 570, 8389, 924, 4912, 101, 438, 646, 312, 2080, 5573, 20, 904, 2075, 32, 23782, 81, 6586, 27, 291, 4583, 280, 2075, 32, 23782, 81, 6586, 284, 813, 44, 291, 588, 351, 4583, 280, 5461, 101, 9524, 3375, 3845, 904, 2075, 32, 23782, 81, 3242, 284, 442, 4583, 30, 1503, 203, 589, 1968, 81, 3922, 26, 426, 711, 284, 1596, 44, 291, 4118, 280, 570, 8389, 2828, 2825, 37134, 2531, 26, 2501, 47, 500, 32, 983, 32, 15705, 26, 426, 471, 5202, 26409, 10000, 6886, 31197, 15446, 428, 2184, 79, 429, 103, 46, 23782, 31, 1648, 22639, 284, 2940, 570, 8389, 924, 619, 1137, 44, 291, 485, 8389, 32, 751, 32, 530, 26, 530, 27, 291, 442, 1665, 284, 1188, 81, 1363, 280, 570, 8389, 2828, 1564, 26, 3922, 30, 313, 465, 2075, 392, 6619, 313, 465, 5886, 2075, 657, 284, 2604, 81, 1363, 280, 570, 8389, 2828, 1564, 26, 3922, 30, 313, 2142, 2075, 392, 7686, 313, 2142, 5886, 2075, 7788, 284, 5573, 81, 1363, 280, 570, 8389, 2828, 1564, 26, 3922, 30, 313, 1648, 461, 5573, 22577, 2075, 392, 6619, 313, 1648, 1451, 461, 5573, 6371, 2075, 657, 284, 4774, 81, 1363, 280, 570, 8389, 2828, 1564, 26, 3922, 30, 313, 6173, 2016, 2075, 392, 7686, 313, 6893, 461, 1412, 372, 11319, 6594, 6350, 461, 21042, 657, 284, 436, 2350, 328, 428, 465, 81, 1363, 30, 5573, 81, 1363, 30, 2604, 81, 1363, 30, 4774, 81, 1363, 2786, 291, 4118, 32, 669, 81, 1762, 81, 1363, 26, 1363, 27, 284, 5573, 81, 1363, 32, 669, 81, 1762, 10359, 103, 392, 7915 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 6, 2, 2, 3, 7, 8, 8, 8, 6, 7, 6, 4, 4, 6, 6, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 6, 7, 7, 7, 7, 7, 6, 8, 7, 8, 8, 8, 6, 6, 7, 8, 6, 2, 2, 2, 6, 7, 7, 7, 5, 6, 5, 3, 3, 5, 5, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 5, 0, 0, 2, 2, 3, 4, 4, 4, 0, 0, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 1, 3, 3, 3, 4, 3, 0, 0, 1, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 8, 7, 11, 10, 11, 9, 10, 9, 10, 9, 6, 7, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 1, 2, 4, 4, 3, 3, 2, 2, 2, 8, 7, 8, 6, 7, 6, 7, 6, 3, 3, 4, 0, 0, 3, 3, 2, 2, 4, 4, 4, 4, 5, 4, 4, 6, 6, 6, 4, 4, 6, 6, 6, 6, 0, 0, 3, 3, 2, 2, 4, 4, 4, 4, 5, 4, 4, 6, 6, 6, 4, 4, 6, 6, 6, 6, 0, 0, 3, 3, 2, 2, 4, 4, 4, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 0, 0, 3, 3, 2, 2, 4, 4, 4, 4, 5, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 1, 1, 1, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 6, 6, 6, 6, 6, 5, 6, 5, 0, 0, 4, 4, 3, 4, 4, 4, 3, 5, 5, 3 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 2, 2, 2, 1, 1, 2, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 0, 9, 9, 0, 1, 2, 1, 4, 4, 9, 9, 0, 0, 0, 0, 0, 0, 10, 10, 0, 1, 2, 1, 4, 4, 4, 10, 10, 0, 0, 0, 0, 0, 10, 10, 10, 0, 0, 0, 10, 10, 10, 0, 0, 0, 0, 0, 0, 10, 10, 10, 10, 0, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 4, 4, 0, 0, 2, 2, 4, 4, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 4, 0, 2, 2, 2, 0, 2, 1, 5, 5, 1, 2, 11, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 14, 14, 15, 15, 15, 0, 0, 1, 1, 1, 0, 0, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 16, 16, 3, 0, 0, 1, 1, 3, 3, 3, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 21, 21, 21, 1, 1, 1, 3, 3, 3, 3, 3, 3, 5, 5, 3, 3, 7, 7, 3, 21, 21, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1 ]
[ 465, 13092, 203, 465, 3619, 203, 1772, 983, 280, 3619, 32, 983, 32, 1696, 4064, 761, 25566, 890, 26, 407, 26328, 978, 657, 203, 50, 12408, 32, 1826, 32, 2072, 607, 203, 589, 894, 81, 42726, 81, 452, 81, 19991, 81, 1647, 2262, 284, 13092, 32, 15040, 81, 1851, 26, 978, 32, 751, 1114, 1237, 8447, 30, 313, 35, 32, 37, 392, 27203, 657, 203, 589, 894, 81, 1237, 8447, 81, 18651, 26, 4875, 8447, 711, 284, 12847, 280, 3619, 32, 716, 32, 10686, 11874, 346, 284, 3619, 32, 751, 1114, 1237, 8447, 440, 106, 32, 107, 32, 108, 392, 313, 20282, 392, 4138, 2649, 47, 35, 27, 284, 963, 30, 1137, 280, 12847, 32, 4534, 346, 284, 3619, 32, 14842, 32, 1216, 37158, 541, 392, 963, 27, 284, 3619, 32, 14842, 32, 1216, 37158, 530, 392, 1137, 27, 284, 1201, 1137, 32, 1809, 440, 106, 32, 107, 32, 108, 657, 863, 429, 35, 284, 456, 1347, 280, 3619, 32, 687, 32, 300, 359, 812, 687, 26, 858, 81, 1237, 8447, 81, 18651, 547, 331, 81, 2232, 12300, 474, 225, 36, 284, 2910, 280, 5461, 101, 6069, 101, 20, 904, 308, 1772, 983, 30, 456, 1347, 27, 284, 1201, 1137, 32, 1809, 26, 2832, 27, 863, 429, 35, 203, 589, 894, 81, 3034, 2649, 26, 4875, 8447, 711, 284, 665, 296, 2262, 291, 3619, 32, 751, 1114, 1237, 8447, 440, 106, 392, 313, 6060, 392, 4138, 2649, 47, 36, 27, 284, 12847, 280, 3619, 32, 716, 32, 10686, 11874, 346, 284, 296, 346, 284, 963, 30, 1137, 280, 12847, 32, 4534, 346, 284, 456, 1347, 280, 3619, 32, 687, 32, 300, 359, 812, 687, 26, 858, 81, 3034, 2649, 547, 331, 81, 2232, 12300, 474, 225, 40, 284, 5967, 280, 596, 26, 530, 27, 284, 1201, 5967, 32, 1809, 440, 6069, 101, 20, 904, 456, 1347, 27, 863, 429, 35, 203, 589, 894, 81, 3034, 2649, 81, 1664, 4652, 81, 1793, 81, 5284, 26, 858, 1515, 30, 8814, 8447, 711, 284, 894, 1515, 32, 2682, 978, 761, 26, 1803, 8183, 347, 1010, 291, 1188, 3619, 291, 665, 296, 2262, 324, 3619, 32, 751, 1114, 1237, 8447, 440, 106, 392, 313, 6060, 392, 4138, 2649, 347, 368, 639, 6706, 35, 36, 37, 657, 284, 3330, 657, 284, 894, 1515, 32, 2682, 978, 761, 26, 368, 639, 6706, 35, 36, 37, 347, 1010, 291, 665, 1156, 32110, 505, 2262, 324, 1188, 2047, 8183, 324, 2047, 8183, 32, 88, 346, 284, 3330, 657, 284, 298, 280, 894, 1515, 32, 2682, 978, 761, 27265, 291, 1188, 1845, 639, 6706, 35, 36, 37, 291, 1845, 639, 6706, 35, 36, 37, 3667, 32110, 16369, 284, 3330, 657, 284, 12847, 280, 3619, 32, 716, 32, 10686, 11874, 346, 284, 298, 32, 978, 465, 346, 284, 963, 30, 1137, 280, 12847, 32, 4534, 346, 284, 5967, 280, 596, 26, 530, 27, 284, 2587, 280, 330, 858, 81, 3034, 2649, 81, 1664, 4652, 81, 1793, 81, 5284, 32, 978, 44, 36, 25, 284, 1201, 5967, 32, 1809, 26, 881, 27, 863, 429, 35, 203, 589, 894, 81, 3034, 2649, 81, 1664 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 3, 3, 2, 2, 7, 8, 6, 7, 6, 7, 7, 5, 4, 6, 5, 7, 7, 0, 2, 5, 4, 5, 3, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 6, 7, 7, 7, 6, 9, 8, 9, 7, 8, 8, 6, 6, 8, 8, 8, 8, 6, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 7, 8, 6, 7, 7, 6, 2, 2, 6, 7, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 6, 7, 5, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 6, 7, 5, 6, 6, 7, 7, 5, 5, 2, 2, 6, 7, 5, 6, 6, 7, 7, 5, 5, 2, 2, 3, 6, 7, 6, 8, 8, 8, 8, 8, 8, 4, 4, 6, 2, 2, 5, 4, 4, 9, 10, 8, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 8, 7, 7, 7, 7, 5, 5, 6, 2, 2, 4, 4, 7, 7, 7, 7, 5, 5, 7, 7, 6, 6, 7, 6, 2, 2, 3, 6, 7, 6, 7, 6, 4, 4, 6, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 3, 3, 8, 9, 7, 8, 8, 7, 9, 9, 7, 9, 9, 7, 9, 8, 9, 7, 2, 2, 4, 4, 7, 8, 6, 7, 7, 6, 2, 2, 5, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 4, 4, 9, 10, 8, 9, 9, 9, 9, 8, 9, 9, 9, 9, 8, 7, 7, 7, 7, 5, 5, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 6, 7, 6, 9, 9, 9, 7, 7, 8, 6, 4, 4, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 6, 5, 6, 6, 6, 5, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 6, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 7, 8, 6, 7, 7, 6, 2, 2, 5, 6, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 6, 7, 6, 7, 6, 4, 4, 6, 0, 1, 1, 2, 2, 2, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 2, 1, 1, 4, 4, 5, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 3, 2, 4, 4, 8, 0, 2, 1, 1, 1, 1, 1, 1, 0, 5, 5, 1, 1, 1, 2, 1, 1, 2, 5, 5, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 5, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 6, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 6, 6, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 8, 0, 2, 1, 1, 1, 1, 1, 1, 0, 7, 7, 1, 1, 1, 1, 1 ]
[ 465, 6436, 619, 2065, 203, 1070, 2959, 34669, 32, 1580, 1188, 5840, 81, 2848, 203, 1070, 2959, 34669, 32, 3378, 1188, 9975, 1908, 3653, 30, 498, 36895, 1908, 3653, 30, 45187, 203, 1070, 2959, 34669, 32, 3399, 1054, 1188, 2738, 1427, 30, 10986, 30, 420, 3399, 30, 354, 3399, 203, 106, 35, 280, 2065, 32, 3855, 32, 4382, 26, 881, 47, 39, 32, 34, 30, 1334, 47, 38, 34, 34, 27, 319, 225, 35, 34, 34, 203, 107, 35, 280, 2065, 32, 3855, 32, 4382, 26, 881, 47, 35, 34, 32, 34, 30, 1334, 47, 38, 34, 34, 27, 319, 225, 35, 34, 203, 106, 36, 280, 2065, 32, 3855, 32, 4382, 26, 881, 47, 39, 32, 34, 30, 1334, 47, 42, 34, 34, 27, 319, 225, 39, 34, 203, 107, 36, 280, 2065, 32, 3855, 32, 4382, 26, 881, 47, 39, 32, 34, 30, 1334, 47, 42, 34, 34, 27, 319, 225, 35, 34, 203, 106, 37, 280, 2065, 32, 3855, 32, 4382, 26, 881, 47, 39, 39, 32, 34, 30, 1334, 47, 36, 34, 34, 27, 319, 225, 35, 34, 203, 107, 37, 280, 2065, 32, 3855, 32, 4382, 26, 881, 47, 38, 32, 34, 30, 1334, 47, 36, 34, 34, 27, 319, 225, 35, 34, 203, 106, 280, 2065, 32, 26442, 1162, 106, 35, 30, 816, 36, 30, 816, 37, 490, 203, 107, 280, 2065, 32, 26442, 1162, 107, 35, 30, 533, 36, 30, 533, 37, 490, 203, 31081, 347, 7480, 30, 15668, 81, 11464, 30, 1501, 81, 1613, 30, 386, 97, 81, 1613, 20, 203, 98, 280, 10986, 26, 4280, 47, 31081, 30, 6867, 81, 1644, 47, 40, 34, 34, 30, 6867, 81, 2273, 47, 40, 34, 34, 30, 1780, 47, 2521, 30, 1847, 81, 3478, 47, 35, 34, 30, 1847, 81, 3478, 81, 1873, 47, 39, 34, 27, 203, 100, 280, 298, 32, 17808, 26, 106, 30, 533, 30, 1334, 47, 37, 30, 1963, 2525, 37, 51, 39, 41, 42, 39, 392, 7377, 47, 34, 32, 40, 27, 203, 98, 32, 1613, 26, 1705, 1908, 3653, 547, 1613, 81, 15627, 81, 44620, 280, 3177, 203, 98, 32, 1613, 26, 62, 36895, 1908, 3653, 547, 1613, 81, 15627, 81, 44620, 280, 3177, 203, 10429, 427, 30, 938, 86, 3838, 280, 2065, 32, 22161, 26, 106, 30, 22519, 47, 36, 34, 27, 203, 90, 9880, 280, 2065, 32, 9880, 26, 1657, 26, 2034, 3838, 7824, 35, 27, 203, 90, 1449, 280, 1769, 26, 10429, 427, 4586, 35, 32, 35, 203, 4780, 81, 12896, 280, 5436, 26, 1489, 2525, 37, 51, 39, 41, 42, 39, 392, 1628, 81, 1489, 47, 2521, 27, 203, 833, 280, 10986, 26, 15675, 81, 2645, 47, 2521, 30, 6867, 81, 1644, 47, 98, 32, 3399, 81, 1644, 30, 6867, 81, 2273, 47, 36, 34, 34, 30, 816, 81, 3585, 47, 98, 32, 106, 81, 3585, 30, 324, 533, 81, 3585, 47, 3736, 90, 1449, 30, 420, 1449, 471, 1780, 47, 2521, 30, 1847, 81, 3478, 47, 35, 34, 30, 1847, 81, 3478, 81, 1873, 47, 39, 34, 27, 203, 833, 32, 106, 3365, 32, 3365 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 3, 0, 3, 3, 2, 2, 6, 7, 5, 6, 5, 7, 6, 7, 7, 7, 5, 5, 6, 7, 7, 7, 5, 3, 3, 4, 4, 4, 0, 3, 3, 2, 2, 6, 7, 5, 6, 5, 7, 6, 7, 7, 7, 7, 5, 5, 6, 7, 7, 7, 5, 3, 3, 4, 4, 0, 3, 3, 2, 2, 6, 7, 5, 6, 5, 7, 6, 7, 7, 7, 5, 5, 6, 7, 7, 7, 5, 3, 3, 4, 4, 0, 3, 3, 2, 2, 6, 7, 5, 6, 5, 7, 6, 7, 7, 7, 5, 5, 6, 7, 7, 7, 5, 3, 3, 4, 4, 0, 3, 3, 2, 2, 6, 7, 5, 6, 5, 7, 6, 7, 7, 7, 7, 5, 5, 6, 7, 7, 7, 5, 3, 3, 4, 4, 0, 3, 3, 2, 2, 6, 7, 5, 6, 5, 7, 6, 7, 7, 7, 5, 5, 6, 7, 7, 7, 5, 3, 3, 4, 4, 0, 3, 2, 2, 4, 5, 4, 6, 6, 5, 5, 6, 5, 5, 6, 5, 0, 3, 2, 2, 4, 5, 4, 6, 6, 5, 5, 6, 5, 5, 6, 5, 0, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 6, 5, 6, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 6, 4, 4, 6, 6, 6, 6, 5, 6, 6, 4, 0, 3, 2, 2, 4, 5, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 4, 5, 6, 6, 6, 4, 0, 6, 5, 6, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 2, 2, 0, 6, 5, 6, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 2, 2, 0, 4, 4, 3, 3, 4, 4, 2, 2, 4, 5, 4, 5, 4, 4, 5, 6, 6, 4, 0, 3, 3, 2, 2, 4, 5, 4, 7, 7, 8, 8, 7, 6, 4, 0, 3, 3, 2, 2, 5, 6, 6, 5, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 6, 5, 7, 7, 7, 7, 7, 7, 7, 4, 6, 6, 5, 6, 4, 0, 3, 2, 2, 4, 6, 6, 6, 5, 6, 4, 4, 6, 6, 5, 7, 6, 7, 7, 7, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 6, 6, 5, 7, 6, 7, 7, 7, 4, 4, 4, 6, 6, 5, 6, 8, 8, 6, 6, 7, 6, 4, 5, 6, 4, 4, 6, 6, 5, 6, 6, 4, 4, 6, 6, 6, 6, 5, 6, 6, 4, 0, 5, 4, 5, 5, 3, 4 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 3, 3, 0, 1, 2, 2, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 7, 2, 1, 1, 0, 0, 9, 2, 2, 1, 1, 0, 0, 0, 0, 11, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 2, 1, 9, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 0, 2, 2, 2, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 0, 0, 7, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 9, 2, 1, 1, 2, 2, 3, 2, 1, 11, 2, 1, 1, 0, 0, 13, 2, 2, 1, 1, 0, 0, 0, 0, 15, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 5241, 81, 9302, 280, 540, 25, 75, 766, 95, 32, 516, 594, 766, 86, 4564, 203, 4804, 81, 9302, 280, 330, 58, 44, 91, 25, 203, 31141, 81, 9302, 280, 540, 25, 75, 766, 95, 32, 516, 594, 766, 86, 4317, 677, 44, 91, 25, 203, 23164, 81, 22846, 81, 9302, 280, 540, 25, 75, 766, 95, 32, 506, 25, 203, 22846, 81, 14318, 81, 9302, 280, 540, 25, 55, 594, 766, 86, 4564, 203, 15456, 81, 5241, 81, 9302, 280, 330, 75, 31, 95, 31, 86, 25, 203, 15456, 81, 31141, 81, 9302, 280, 330, 75, 31, 95, 31, 86, 677, 44, 91, 25, 203, 16838, 81, 14318, 81, 2109, 81, 39636, 280, 225, 35, 261, 203, 5241, 81, 10840, 81, 9302, 69, 280, 428, 284, 6611, 75, 9299, 95, 9299, 86, 370, 6611, 86, 15231, 95, 15231, 75, 370, 6611, 86, 15231, 95, 15231, 107, 370, 261, 203, 79, 203, 4804, 81, 10840, 81, 9302, 69, 280, 428, 284, 6611, 58, 6069, 63, 6069, 69, 370, 647, 284, 6611, 58, 6069, 63, 6069, 69, 15231, 88, 370, 10065, 6611, 58, 6069, 63, 370, 40196, 6611, 58, 15231, 63, 15231, 69, 370, 647, 284, 6611, 58, 15231, 63, 15231, 69, 15231, 88, 370, 10065, 6611, 58, 15231, 63, 370, 263, 203, 79, 203, 31141, 81, 10840, 81, 9302, 69, 280, 428, 284, 6611, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 370, 647, 284, 6611, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 15231, 88, 370, 10065, 6611, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 370, 40196, 6611, 86, 15231, 95, 15231, 75, 904, 58, 6069, 63, 6069, 69, 370, 647, 284, 6611, 86, 15231, 95, 15231, 75, 904, 58, 6069, 63, 6069, 69, 15231, 88, 370, 10065, 6611, 86, 15231, 95, 15231, 75, 904, 58, 6069, 63, 370, 40196, 6611, 86, 15231, 95, 15231, 75, 370, 3389, 284, 6611, 86, 15231, 95, 15231, 107, 904, 58, 6069, 63, 6069, 69, 370, 647, 284, 6611, 86, 15231, 95, 15231, 107, 904, 58, 6069, 63, 6069, 69, 15231, 88, 370, 10065, 6611, 86, 15231, 95, 15231, 107, 904, 58, 6069, 63, 370, 40196, 6611, 86, 15231, 95, 15231, 107, 904, 58, 15231, 63, 15231, 69, 370, 647, 284, 6611, 86, 15231, 95, 15231, 107, 904, 58, 15231, 63, 15231, 69, 15231, 88, 370, 10065, 6611, 86, 15231, 95, 15231, 107, 904, 58, 15231, 63, 370, 40196, 6611, 86, 15231, 95, 15231, 107, 370, 3389, 203, 79, 203, 37607, 81, 22036, 280, 17359, 203, 1781, 65, 2045, 3349, 81, 22036, 280, 18491, 203, 10463, 81, 9779, 1392, 280, 225, 37, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 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, 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 ]
[ 1070, 7138, 1188, 7138, 203, 465, 29590, 203, 465, 22045, 203, 1070, 18971, 81, 13170, 1188, 20323, 203, 1070, 18971, 81, 1840, 858, 1188, 6548, 5504, 203, 1070, 20323, 81, 2285, 81, 9885, 1188, 6042, 81, 2285, 81, 965, 203, 1070, 16890, 32, 1163, 32, 1163, 1188, 2108, 1063, 203, 1070, 16890, 32, 9081, 1188, 3082, 203, 1070, 16890, 32, 42053, 32, 725, 1188, 1487, 81, 725, 203, 1070, 16890, 32, 3378, 32, 1146, 8951, 1188, 16285, 4920, 1016, 30, 2680, 1646, 8951, 203, 1070, 16890, 32, 3378, 32, 1436, 1188, 10024, 1175, 203, 1070, 16890, 32, 3378, 32, 12708, 1188, 24274, 203, 1070, 16890, 32, 3378, 32, 4298, 1188, 47686, 203, 1070, 16890, 32, 3378, 32, 496, 1188, 2680, 30, 622, 81, 496, 203, 1070, 3312, 1188, 546, 9036, 81, 1589, 81, 32749, 81, 23475, 30, 5895, 81, 4975, 81, 779, 30, 19205, 203, 823, 2108, 18282, 26, 7233, 711, 284, 665, 894, 81, 2294, 81, 916, 26, 784, 711, 291, 2043, 280, 630, 32, 669, 81, 1580, 346, 291, 1426, 8951, 280, 16285, 4920, 1016, 32, 14221, 7591, 81, 14144, 81, 66, 37, 66, 291, 1426, 8951, 32, 923, 81, 3560, 280, 2933, 16189, 2043, 32, 1146, 8951, 280, 1426, 8951, 291, 1426, 8951, 32, 2294, 81, 916, 280, 313, 3402, 9286, 20, 291, 630, 32, 3615, 346, 291, 630, 32, 669, 81, 3648, 81, 27766, 1578, 81, 605, 346, 291, 630, 32, 84, 2274, 81, 1793, 81, 31079, 26, 2682, 81, 16981, 47, 2700, 27, 291, 1789, 280, 630, 32, 1580, 32, 371, 3247, 2833, 683, 291, 1201, 1789, 32, 1517, 81, 687, 610, 225, 36, 34, 34, 291, 1201, 330, 3402, 9286, 25, 328, 1789, 32, 371, 81, 605, 26, 302, 81, 878, 47, 1815, 27, 291, 1426, 8951, 280, 3082, 32, 2848, 32, 6077, 26, 1146, 8951, 27, 291, 1201, 1426, 8951, 32, 2294, 81, 916, 328, 1789, 32, 371, 81, 605, 26, 302, 81, 878, 47, 1815, 27, 284, 665, 894, 81, 496, 81, 2294, 81, 916, 26, 784, 711, 291, 2043, 280, 630, 32, 669, 81, 1580, 346, 291, 1426, 8951, 280, 16285, 4920, 1016, 32, 14221, 7591, 81, 14144, 81, 66, 37, 66, 291, 1426, 8951, 32, 923, 81, 3560, 280, 2933, 16189, 2043, 32, 1146, 8951, 280, 1426, 8951, 291, 7890, 280, 2680, 1646, 8951, 26, 324, 1256, 81, 314, 47, 3765, 81, 4975, 81, 779, 30, 1426, 8951, 81, 314, 47, 1146, 8951, 32, 314, 27, 291, 7890, 32, 2294, 81, 916, 280, 3778, 84, 48, 16835, 10427, 3319, 377, 84, 5844, 291, 7890, 32, 1204, 81, 1172, 280, 313, 3402, 2680, 9286, 20, 291, 7890, 32, 1204, 81, 965, 280, 330, 525, 555, 2763, 32, 508, 8172, 858, 47, 753, 35, 25, 291, 623, 6548, 5504, 26, 1199, 711, 324, 3082, 32, 2848, 32, 669, 26, 1707, 27, 324, 3082, 32, 2848, 32, 3375, 346, 291, 630, 32, 3615, 346, 291, 630, 32, 669, 81, 3648, 81, 27766, 1578, 81, 605, 346, 291, 630, 32, 84, 2274, 81, 1793, 81, 31079, 26, 2682, 81, 16981, 47, 2700, 27, 291, 1256, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 8, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 8, 7, 8, 8, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 7, 9, 9, 9, 8, 9, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 10, 4, 4, 5, 7, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 5, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 9, 10, 8, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 8, 4, 4, 5, 8, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 9, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 8, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 6, 6, 8, 8, 8, 8, 8, 10, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 9, 11, 11, 10, 11, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 9, 9, 10, 9, 5, 5, 10, 11, 9, 10, 9, 10, 9, 6, 6, 10, 11, 9, 10, 9, 4, 4, 7, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 7, 9, 9, 9, 8, 9, 7, 4, 4, 6 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 4, 9, 9, 0, 0, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 13, 13, 1, 2, 1, 4, 13, 13, 13, 13, 0, 0, 0, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 14, 14, 0, 0, 0, 0, 14, 14, 0, 15, 15, 1, 2, 1, 2, 15, 15, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 4, 4, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 2, 4, 4, 9, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 10, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 4, 4, 12, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 3, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 8, 0, 1, 1, 1, 8, 8, 0, 2, 0, 2, 1, 1, 1, 3, 3, 0, 2, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 15390, 81, 30839, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 1070, 638, 2282, 1188, 319, 261, 203, 3629, 13101, 81, 19846, 69, 280, 308, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 2175, 370, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 9721, 370, 203, 27, 203, 6585, 45421, 81, 47406, 1454, 10918, 13101, 81, 19846, 69, 203, 17252, 81, 3307, 280, 4533, 440, 28350, 5289, 65, 81, 17252, 81, 3307, 657, 203, 34757, 81, 26681, 81, 10079, 81, 10870, 280, 2726, 5068, 81, 74, 81, 7321, 6102, 10884, 81, 9988, 370, 330, 641, 683, 203, 30446, 81, 47589, 35291, 280, 308, 284, 330, 11025, 32, 11202, 32, 4373, 32, 5188, 11063, 370, 203, 27, 203, 47589, 35291, 81, 36850, 280, 42938, 81, 47589, 35291, 474, 488, 779, 36290, 35291, 81, 36850, 203, 9564, 81, 31784, 81, 34757, 280, 2933, 203, 9564, 81, 31784, 81, 5068, 13008, 280, 2933, 203, 34757, 81, 10079, 81, 613, 9674, 280, 2933, 203, 19846, 81, 5807, 81, 5068, 81, 20474, 280, 313, 641, 20, 203, 33891, 81, 8472, 69, 280, 4533, 32, 668, 463, 28350, 5289, 65, 81, 33891, 81, 8472, 69, 370, 1244, 11414, 579, 500, 11653, 32, 363, 483, 32, 5501, 3490, 203, 5807, 81, 9067, 81, 17945, 280, 4533, 463, 28350, 5289, 65, 81, 5807, 81, 9067, 81, 17945, 370, 656, 1244, 1057, 579, 500, 11653, 333, 32987, 1723, 50, 579, 500, 11653, 32, 363, 483, 32, 5501, 22639, 203, 17945, 81, 41461, 81, 9857, 280, 4533, 440, 28350, 5289, 65, 81, 17945, 81, 41461, 81, 9857, 392, 1244, 1057, 77, 579, 500, 11653, 79, 11134, 203, 8094, 81, 17945, 280, 4533, 463, 28350, 5289, 65, 81, 8094, 81, 17945, 370, 1244, 47, 5807, 81, 9067, 81, 17945, 27, 203, 10115, 22368, 940, 77, 35, 5795, 15979, 4902, 38150, 785, 280, 428, 284, 2726, 11025, 32, 2387, 32, 38150, 32, 10569, 32, 4888, 370, 428, 291, 330, 11025, 32, 2387, 32, 38150, 32, 18290, 32, 4888, 370, 330, 11025, 32, 2387, 32, 38150, 32, 725, 81, 24015, 32, 4888, 370, 25859, 203, 79, 203, 20528, 69, 710, 1536, 785, 280, 4533, 32, 1199, 440, 20528, 81, 2413, 657, 203, 53, 10028, 940, 280, 301, 284, 313, 1536, 563, 301, 291, 313, 36190, 563, 313, 11025, 81, 9558, 32, 2613, 32, 14493, 2597, 392, 291, 313, 17033, 563, 10698, 34, 15117, 35, 16054, 1643, 26, 2121, 463, 37080, 81, 2413, 370, 1244, 347, 9558, 555, 35, 36, 41, 32, 34, 32, 34, 32, 35, 44, 40, 37, 41, 43, 2113, 225, 34, 471, 291, 313, 15979, 563, 301, 324, 313, 10923, 81, 7420, 563, 313, 11025, 81, 9558, 32, 1580, 32, 2044, 1486, 392, 324, 313, 24111, 81, 19098, 69, 563, 2933, 30, 16189, 320, 284, 320, 203, 111, 203, 3602, 32384, 280, 301, 284, 330, 1648, 950, 225, 35, 30, 284, 330, 5820, 81, 12724, 81, 751, 7983, 950, 3177, 30, 284, 330, 9211, 950, 301, 291, 330, 1981, 81, 2811, 81, 1870, 950, 301, 324, 330, 346, 950 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 0, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 3, 3, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 3, 3, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 7, 7, 7, 7, 7, 7, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 6, 6, 6, 4, 0, 6, 6, 6, 5, 6, 5, 6, 6, 5, 5, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 3, 3, 0, 4, 4, 3, 5, 5, 2, 2, 4, 5, 4, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 10, 10, 10, 10, 9, 8, 10, 10, 12, 12, 12, 12, 10, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 8, 9, 8, 5, 5, 8, 8, 6, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 8, 7, 7, 7, 5, 5, 3, 3, 0, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 2, 1, 2, 5, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 1, 2, 5, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 316, 203, 1070, 638, 2282, 1188, 12437, 16653, 203, 1070, 4377, 2304, 1188, 308, 284, 629, 81, 271, 81, 4108, 30, 284, 2723, 81, 1322, 30, 203, 27, 203, 823, 4273, 8317, 3989, 26, 1120, 16653, 711, 284, 617, 5915, 81, 2413, 280, 540, 25, 641, 555, 23968, 8169, 508, 33, 98, 33, 12390, 66, 46, 314, 8828, 78, 1804, 31, 15188, 31, 76, 6155, 9905, 284, 617, 3765, 280, 301, 291, 330, 965, 950, 330, 641, 555, 23968, 32, 508, 33, 98, 33, 395, 87, 42, 37, 36851, 4452, 58, 8172, 3986, 47, 1632, 21, 8183, 370, 291, 330, 954, 39, 950, 330, 34, 86, 36, 1804, 35, 34, 40, 83, 43, 86, 36, 40, 37, 35, 36, 41, 37, 87, 35, 43, 36, 84, 37, 41, 36, 42, 34, 40, 39, 35, 40, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 395, 87, 42, 37, 36851, 4452, 58, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 32599, 81, 314, 950, 330, 3258, 418, 639, 99, 370, 324, 330, 1311, 950, 330, 6076, 810, 5499, 418, 639, 99, 370, 324, 330, 2310, 950, 330, 954, 39, 44, 35, 88, 35, 41, 88, 34, 360, 36, 43, 4184, 40, 1225, 36, 3589, 339, 41, 34, 39, 88, 39, 42, 286, 37, 2500, 42, 370, 291, 320, 284, 320, 284, 665, 617, 4543, 81, 8281, 26, 784, 30, 1984, 711, 291, 6027, 81, 314, 280, 630, 1114, 2872, 81, 314, 26, 965, 27, 291, 41164, 280, 630, 1114, 4984, 81, 1840, 1637, 26, 965, 30, 6027, 81, 314, 27, 291, 973, 4554, 81, 314, 280, 630, 1114, 1903, 81, 7920, 26, 100, 7362, 5632, 10638, 699, 2510, 13157, 29, 49, 4731, 370, 11244, 41164, 30, 330, 32599, 804, 370, 26250, 47, 2700, 27, 291, 5585, 280, 630, 1114, 1903, 81, 7920, 26, 100, 7362, 8016, 2510, 29548, 49, 4731, 370, 41164, 30, 330, 2310, 370, 6619, 26250, 47, 2700, 27, 291, 442, 301, 324, 330, 314, 950, 6027, 81, 314, 30, 324, 330, 965, 950, 630, 1114, 817, 81, 1903, 81, 5000, 81, 965, 26, 1840, 1637, 30, 14706, 47, 2700, 471, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 6076, 810, 904, 101, 25, 904, 973, 4554, 81, 314, 30, 324, 330, 12301, 950, 630, 1114, 817, 81, 1903, 81, 12301, 26, 1840, 1637, 471, 324, 330, 32599, 81, 314, 950, 973, 4554, 81, 314, 30, 324, 330, 2310, 950, 5585, 30, 291, 320, 203, 823, 4273, 8317, 1240, 3989, 26, 1120, 16653, 711, 284, 617, 5915, 81, 2413, 280, 540, 25, 641, 555, 23968, 8169, 508, 33, 12390, 66, 46, 699, 8828, 80, 33, 8274, 36, 30, 1748, 8172, 18470, 22, 10182, 49, 21, 1130, 25, 284, 12265, 81, 12344, 280, 330, 3230, 8317, 1256, 6274, 25, 284, 12265, 81, 2474, 280, 330, 23968, 44, 496, 25, 284, 617, 3765, 280, 301, 291, 330, 965, 950, 330, 641, 555, 23968, 32, 508, 33, 5981, 3158, 370, 291, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 5, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 8, 10, 10, 10, 8, 9, 10, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 8, 8, 9, 10, 8, 4, 4, 5, 6, 6, 9, 9, 7, 8, 8, 6, 6, 6, 9, 9, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 9, 9, 10, 11, 9, 6, 6, 9, 9, 7, 9, 9, 9, 6, 6, 9, 9, 7, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 6, 6, 6, 9, 9, 7, 9, 10, 10, 10, 10, 10, 9, 10, 10, 9, 6, 6, 9, 9, 9, 9, 7, 8, 8, 8, 6, 6, 6, 9, 9, 7, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 4, 4, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 7, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 7, 2, 1, 4, 4, 4, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 3, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 2, 5, 1, 1, 2, 1, 1, 1, 2, 7, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 9, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 2, 2, 2, 1, 1, 1, 1, 2, 13, 1, 1, 1, 0, 5, 5, 1, 1, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2 ]
[ 465, 2322, 203, 465, 281, 14686, 274, 203, 465, 25630, 203, 465, 298, 4614, 203, 465, 12388, 203, 465, 6492, 203, 28767, 5650, 81, 4959, 81, 45670, 280, 225, 34, 203, 28767, 5650, 81, 4959, 81, 10573, 280, 225, 35, 203, 28767, 5650, 81, 4959, 81, 15000, 280, 225, 36, 203, 28767, 5650, 81, 4959, 81, 10656, 4443, 280, 225, 37, 203, 22594, 280, 301, 284, 330, 3647, 11581, 950, 2107, 2760, 370, 330, 96, 579, 2188, 284, 330, 2837, 2454, 2401, 803, 950, 3177, 30, 284, 330, 1637, 432, 2401, 803, 950, 225, 35, 30, 284, 330, 983, 372, 2401, 803, 950, 2550, 284, 330, 2837, 2156, 2354, 13600, 950, 2933, 30, 284, 330, 4866, 20347, 950, 308, 39, 34, 34, 34, 30, 225, 39, 34, 34, 34, 30, 225, 39, 34, 34, 34, 471, 284, 330, 17099, 318, 7481, 436, 13532, 5703, 950, 2933, 30, 284, 330, 2613, 950, 2933, 30, 284, 330, 29232, 950, 3177, 30, 284, 330, 1536, 2064, 1938, 950, 3177, 30, 284, 330, 1536, 39697, 950, 3177, 30, 284, 330, 1536, 13156, 2926, 950, 2523, 65, 5650, 81, 4959, 81, 45670, 30, 284, 330, 1536, 345, 22119, 2926, 950, 3177, 30, 284, 330, 25978, 36321, 1865, 950, 225, 36, 30, 284, 330, 25978, 1334, 950, 225, 36, 34, 34, 30, 284, 330, 1347, 2064, 1938, 436, 16264, 5703, 950, 3177, 30, 284, 330, 2627, 3111, 328, 2064, 1938, 2926, 950, 2933, 30, 284, 330, 2245, 1938, 7515, 544, 13761, 30294, 950, 2933, 30, 284, 330, 12301, 1334, 950, 225, 42, 34, 30, 284, 330, 1297, 13761, 30294, 950, 2933, 30, 284, 330, 7220, 2245, 7808, 950, 225, 37, 34, 34, 34, 30, 284, 330, 11383, 5122, 7499, 950, 2933, 30, 284, 330, 16243, 623, 19461, 950, 3177, 30, 284, 330, 11383, 7481, 950, 3177, 30, 284, 330, 2157, 8289, 803, 3099, 950, 2933, 30, 284, 330, 5828, 1169, 950, 3177, 30, 284, 330, 5828, 1169, 328, 39697, 950, 2933, 30, 284, 330, 22182, 10603, 1169, 2078, 950, 308, 1815, 30, 2933, 30, 2933, 30, 2933, 30, 2933, 471, 284, 330, 983, 432, 2401, 323, 643, 1246, 328, 803, 1506, 7776, 950, 12388, 32, 8439, 81, 3197, 30, 284, 330, 2135, 2761, 328, 2575, 803, 1506, 7776, 950, 225, 34, 30, 284, 330, 2135, 2761, 328, 4253, 803, 1506, 7776, 950, 225, 35, 30, 284, 330, 2245, 10446, 38499, 950, 2933, 30, 284, 330, 2245, 39824, 950, 2933, 30, 284, 330, 2245, 2287, 1632, 950, 2933, 30, 284, 330, 2245, 20047, 950, 2933, 30, 284, 330, 2245, 13761, 30294, 950, 2933, 30, 284, 330, 11846, 950, 225, 34, 30, 284, 330, 2837, 8720, 645, 538, 325, 950, 2933, 30, 284, 330, 10163, 19567, 950, 3177, 30, 284, 330, 10630, 19567, 950, 3177, 30, 284, 330, 10504, 17488, 950, 3177, 30, 284, 330, 3518, 2384, 950, 25630, 32, 89, 4520, 32, 4458, 81, 371, 81, 1536, 922, 371, 81, 2273, 346, 319, 225, 37, 434, 225, 38, 30, 284, 330, 3518, 1861, 950, 1847, 26, 22589, 32, 89, 4520, 32, 4458, 81, 371, 81, 1536, 922, 371, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 2, 2, 3, 3, 6, 6, 6, 4, 7, 7, 5, 7, 7, 7, 3, 3, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 4, 3, 3, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 4, 3, 3, 3, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 4, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 4, 5, 5, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 6, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 6, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 4, 11, 12, 12, 10, 11, 11, 11, 11, 11, 10, 9, 9, 9, 8, 6, 6, 7, 5, 5, 6, 3, 3, 3, 6, 6, 6, 4, 6, 14, 13, 14, 14, 12, 13, 13, 13, 13, 13, 12, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 3, 2, 2, 2, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 1, 1, 1, 1, 2, 7, 2, 2, 1, 1, 1, 1, 2, 9, 2, 2, 2, 1, 1, 2, 11, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 13, 2, 2, 2, 1, 2, 15, 2, 2, 2, 1, 2, 17, 2, 2, 2, 1, 1, 1, 2, 19, 2, 2, 2, 1, 1, 2, 21, 2, 2, 2, 1, 1, 1, 2, 23, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 25, 2, 2, 2, 1, 1, 1, 2, 27, 2, 2, 2, 2, 1, 1, 2, 29, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 31, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 33, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 35, 2, 2, 2, 1, 1, 2, 37, 2, 2, 2, 2, 2, 1, 1, 1, 2, 39, 2, 2, 2, 1, 1, 1, 2, 41, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 43, 2, 2, 2, 1, 1, 1, 2, 45, 2, 2, 2, 1, 1, 2, 47, 2, 2, 2, 1, 1, 1, 1, 2, 49, 2, 2, 2, 1, 1, 2, 51, 2, 2, 2, 1, 1, 1, 1, 2, 53, 2, 2, 2, 1, 1, 1, 1, 2, 55, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 57, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 59, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 61, 2, 2, 2, 2, 1, 1, 1, 2, 63, 2, 2, 2, 1, 1, 2, 65, 2, 2, 2, 1, 1, 1, 2, 67, 2, 2, 2, 1, 1, 2, 69, 2, 2, 2, 1, 1, 1, 2, 71, 2, 2, 2, 1, 2, 73, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 75, 2, 2, 2, 1, 1, 2, 77, 2, 2, 2, 1, 1, 2, 79, 2, 2, 2, 1, 1, 2, 81, 2, 2, 2, 1, 1, 2, 83, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 85, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2 ]
[ 9592, 203, 50, 2116, 44, 4937, 1369, 203, 9592, 203, 1070, 831, 3149, 4867, 1188, 831, 3149, 4867, 203, 1070, 1288, 3034, 1356, 32, 2304, 1188, 2361, 1473, 203, 1070, 1288, 3034, 1356, 32, 2304, 1188, 1913, 203, 1070, 1288, 3034, 1356, 32, 2304, 1188, 1245, 203, 1070, 1288, 3034, 1356, 32, 2304, 1188, 5440, 203, 1070, 1288, 3034, 1356, 32, 2304, 1188, 9073, 203, 1070, 1288, 3034, 1356, 32, 2304, 1188, 14244, 203, 465, 2322, 203, 465, 27374, 203, 6229, 81, 46332, 81, 20568, 81, 11695, 81, 4065, 280, 3056, 4573, 33, 1553, 18960, 4573, 3337, 25, 203, 61, 5047, 81, 18688, 8484, 81, 62, 36, 2576, 4130, 927, 81, 20568, 81, 4065, 280, 2430, 4573, 33, 94, 36, 15007, 6874, 33, 1297, 12154, 20, 203, 61, 5047, 81, 18688, 8484, 81, 62, 36, 4130, 927, 81, 20568, 81, 4065, 280, 2430, 4573, 33, 94, 36, 25438, 33, 1297, 12154, 20, 203, 61, 5047, 81, 6229, 81, 62, 36, 2576, 4130, 927, 81, 20568, 81, 4065, 280, 2430, 4573, 33, 94, 36, 15007, 6874, 33, 1553, 12154, 20, 203, 61, 5047, 81, 6229, 81, 62, 36, 4130, 927, 81, 20568, 81, 4065, 280, 2430, 4573, 33, 94, 36, 25438, 33, 1553, 12154, 20, 203, 4073, 280, 1245, 32, 371, 81, 4073, 4064, 426, 8223, 203, 823, 3456, 13522, 47153, 5276, 26, 93, 3149, 4867, 32, 6143, 2019, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 2140, 13522, 47153, 5276, 30, 630, 14585, 1664, 16369, 291, 630, 32, 3337, 4109, 280, 1665, 203, 823, 3456, 13522, 47153, 1397, 26, 93, 3149, 4867, 32, 6143, 1397, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 2140, 13522, 47153, 1397, 30, 630, 14585, 1664, 16369, 291, 630, 32, 7815, 3041, 4109, 280, 1665, 203, 823, 2648, 13483, 5276, 26, 93, 3149, 4867, 32, 6143, 2019, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 1922, 13483, 5276, 30, 630, 14585, 1664, 16369, 291, 630, 32, 18960, 3041, 558, 280, 1665, 291, 630, 32, 12154, 558, 280, 1665, 203, 823, 2648, 13483, 1397, 26, 93, 3149, 4867, 32, 6143, 1397, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 1922, 13483, 1397, 30, 630, 14585, 1664, 16369, 203, 823, 2648, 48213, 13483, 5276, 26, 93, 3149, 4867, 32, 6143, 2019, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 1922, 48213, 13483, 5276, 30, 630, 14585, 1664, 16369, 291, 630, 32, 25438, 280, 1665, 203, 823, 2648, 48213, 13483, 1397, 26, 93, 3149, 4867, 32, 6143, 1397, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 1922, 48213, 13483, 1397, 30, 630, 14585, 1664, 16369, 203, 823, 3456, 13483, 1397, 26, 93, 3149, 4867, 32, 6143, 1397, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 2140, 13483, 1397, 30, 630, 14585, 1664, 16369, 203, 823, 3456, 48213, 13483, 1397, 26, 93, 3149, 4867, 32, 6143, 1397, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 2140, 48213, 13483, 1397, 30, 630, 14585, 1664, 16369, 203, 823, 8159 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 5, 5, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 8, 6, 6, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 0, 1, 1, 2, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 0, 1, 1, 2, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 0, 1, 1, 2, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 0, 1, 1 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 7, 7, 0, 0, 1, 2, 7, 7, 0, 8, 8, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 16, 16, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 16, 16, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 0, 0, 0, 17, 17, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 17, 17, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 18, 18, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 18, 18, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 0, 19, 19, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 19, 19, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 20, 20, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 20, 20, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 0, 0, 21, 21, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 21, 21, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 22, 22, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 22, 22, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 23, 23, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 23, 23, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 24, 24 ]
[ 465, 43744, 978, 203, 1070, 43744, 978, 1114, 2219, 8524, 1188, 8735, 39, 30, 310, 452, 84, 203, 1070, 43744, 978, 32, 1356, 1188, 3796, 81, 6390, 203, 1070, 43744, 978, 32, 858, 1188, 9332, 203, 823, 9261, 2681, 1006, 26, 4313, 32, 2955, 2595, 2732, 711, 284, 665, 4705, 81, 1786, 2262, 291, 443, 14741, 44, 324, 665, 1650, 26, 784, 711, 400, 442, 313, 2272, 438, 562, 3107, 324, 1650, 32, 327, 6855, 280, 2933, 291, 443, 9261, 22510, 44, 324, 665, 1650, 26, 784, 711, 400, 442, 313, 8279, 904, 101, 30, 844, 4763, 2583, 23779, 3107, 904, 43744, 978, 32, 1357, 32, 3615, 324, 1650, 32, 327, 6855, 280, 2933, 291, 443, 9261, 22510, 36, 44, 324, 665, 1650, 26, 784, 711, 400, 442, 313, 8279, 904, 101, 30, 844, 4763, 2583, 23779, 3107, 904, 43744, 978, 32, 1357, 32, 3615, 324, 1650, 32, 327, 6855, 280, 2933, 291, 1256, 4617, 2665, 280, 5053, 106, 496, 25, 499, 330, 106, 2895, 6040, 291, 1256, 2888, 2665, 280, 5053, 106, 496, 25, 499, 8735, 39, 26, 96, 452, 84, 463, 106, 2895, 12097, 6949, 13995, 9741, 291, 665, 1505, 4617, 2888, 26, 21355, 30, 1256, 30, 3882, 711, 324, 298, 280, 1256, 2888, 2665, 32, 371, 26, 496, 27, 324, 442, 298, 461, 298, 610, 8735, 39, 26, 96, 452, 84, 26, 2895, 3427, 6949, 13995, 346, 556, 3177, 291, 3570, 280, 5053, 33, 6390, 950, 5053, 4280, 32, 2393, 81, 6390, 32, 267, 950, 2933, 30, 6029, 330, 4280, 32, 2393, 81, 6390, 32, 21355, 950, 330, 105, 17683, 6803, 370, 6029, 330, 4280, 32, 2393, 81, 6390, 32, 1553, 2895, 950, 3796, 81, 6390, 32, 1553, 2895, 81, 2665, 26, 496, 4617, 2665, 11918, 400, 3056, 6390, 36, 950, 5053, 4280, 32, 2393, 81, 6390, 32, 267, 950, 2933, 30, 1014, 330, 4280, 32, 2393, 81, 6390, 32, 21355, 950, 330, 105, 17683, 6803, 370, 1014, 330, 4280, 32, 2393, 81, 6390, 32, 1553, 2895, 950, 1505, 4617, 2888, 835, 3083, 320, 291, 3051, 280, 14741, 346, 291, 3051, 32, 6390, 280, 9261, 22510, 346, 291, 3051, 32, 6390, 36, 280, 9261, 22510, 36, 346, 291, 43744, 978, 32, 3242, 32, 2944, 26, 2388, 30, 1359, 47, 2957, 27, 284, 4705, 81, 1786, 280, 907, 1959, 26, 5522, 81, 1786, 27, 284, 665, 894, 5991, 26, 784, 711, 291, 630, 32, 36867, 32087, 291, 630, 32, 862, 1533, 463, 36, 34, 34, 9199, 683, 291, 630, 32, 862, 2644, 463, 1777, 31, 620, 370, 330, 878, 33, 916, 45, 15245, 47, 3310, 31, 42, 683, 291, 630, 32, 862, 3050, 463, 2272, 438, 562, 11834, 284, 665, 894, 7099, 26, 784, 711, 291, 630, 32, 36867, 4207, 6390, 29594, 291, 630, 32, 862, 1533, 26, 38, 34, 35, 27, 291, 630, 32, 862, 2644, 463, 18906, 73, 31, 33752, 370, 330, 7099, 24482, 347, 105, 17683, 6803, 20, 683, 291, 630, 32, 36867, 3247, 6390, 13093, 41449, 8466, 370, 330, 7099, 484, 21057, 108, 10549, 59, 40, 87, 21079, 13268, 37, 64, 37, 84, 37, 31044, 45325 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 4, 3, 3, 5, 5, 5, 5, 7, 8, 9, 8, 7, 7, 9, 11, 11, 11, 11, 6, 6, 9, 10, 10, 8, 8, 4, 4, 5, 6, 5, 5, 5, 7, 8, 9, 8, 7, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 13, 12, 13, 11, 12, 6, 6, 9, 10, 10, 8, 8, 4, 4, 5, 6, 6, 5, 5, 5, 7, 8, 9, 8, 7, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 13, 12, 13, 11, 12, 6, 6, 9, 10, 10, 8, 8, 4, 4, 7, 7, 6, 6, 10, 10, 10, 8, 8, 10, 10, 10, 4, 4, 7, 7, 6, 6, 10, 10, 10, 8, 8, 12, 12, 14, 14, 14, 14, 16, 16, 16, 11, 11, 10, 4, 4, 5, 6, 6, 6, 7, 6, 6, 6, 6, 6, 5, 5, 8, 8, 11, 11, 10, 11, 10, 11, 10, 6, 6, 7, 9, 9, 10, 10, 14, 14, 16, 16, 16, 16, 17, 16, 13, 13, 12, 8, 8, 4, 4, 6, 6, 10, 10, 10, 8, 12, 12, 12, 12, 12, 12, 12, 12, 10, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 13, 13, 12, 13, 13, 13, 13, 12, 13, 13, 13, 12, 7, 7, 10, 10, 10, 8, 12, 12, 12, 12, 12, 12, 12, 12, 10, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 11, 9, 7, 7, 4, 4, 6, 6, 8, 4, 4, 7, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 4, 4, 9, 8, 9, 7, 8, 7, 8, 7, 7, 8, 9, 7, 2, 2, 5, 5, 4, 4, 6, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 7, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 4, 4, 7, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 7, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11 ]
[ 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 1, 1, 2, 0, 1, 2, 2, 2, 2, 4, 4, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 3, 3, 0, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 3, 3, 0, 2, 2, 0, 0, 4, 4, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 3, 3, 0, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 4, 4, 0, 2, 0, 0, 0, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2 ]
[ 465, 5741, 203, 465, 5741, 32, 14458, 203, 465, 2322, 203, 589, 4483, 81, 751, 81, 2649, 26, 2649, 47, 36, 40, 711, 284, 415, 646, 3193, 44, 291, 3193, 280, 225, 36, 40, 284, 13021, 280, 5053, 1206, 470, 950, 225, 34, 30, 330, 2811, 950, 225, 35, 34, 30, 330, 1338, 950, 225, 36, 34, 30, 330, 24104, 950, 225, 36, 36, 30, 1090, 330, 4021, 950, 225, 36, 40, 30, 330, 5691, 950, 225, 37, 34, 30, 330, 731, 950, 225, 38, 34, 30, 330, 24559, 950, 225, 39, 34, 111, 284, 415, 6937, 26, 2649, 30, 596, 711, 291, 3193, 280, 13021, 32, 371, 26, 2649, 27, 284, 442, 3193, 203, 589, 622, 81, 751, 81, 761, 26, 3607, 47, 2521, 711, 284, 415, 4870, 438, 1665, 44, 291, 4870, 280, 2322, 32, 983, 32, 2524, 26, 324, 2322, 32, 983, 32, 8931, 496, 463, 112, 1425, 324, 5608, 7598, 1575, 404, 100, 370, 324, 330, 7598, 1575, 404, 100, 32, 751, 25, 291, 829, 284, 4870, 280, 4870, 32, 3227, 463, 112, 370, 2322, 32, 983, 32, 8931, 496, 463, 112, 2847, 284, 1596, 44, 291, 2322, 32, 27428, 26, 500, 32, 983, 32, 2998, 26, 3607, 5594, 34, 1130, 284, 2940, 546, 21887, 44, 291, 3097, 284, 442, 4870, 203, 589, 1477, 81, 7490, 26, 3607, 30, 1245, 81, 2649, 30, 28805, 47, 2700, 711, 284, 4870, 280, 622, 81, 751, 81, 761, 26, 3607, 27, 284, 1245, 81, 2649, 280, 4483, 81, 751, 81, 2649, 26, 751, 81, 2649, 27, 284, 5741, 32, 669, 2656, 558, 26, 36, 36, 30, 330, 4683, 24037, 683, 284, 5741, 32, 669, 2656, 558, 26, 36, 40, 30, 330, 15456, 683, 284, 803, 81, 1643, 280, 6611, 26, 302, 27749, 7824, 35, 39, 101, 18147, 2649, 426, 7824, 42, 101, 18147, 426, 7824, 35, 35, 101, 18147, 1436, 27, 101, 25, 284, 4899, 280, 5741, 32, 14458, 32, 6726, 1741, 974, 1972, 26, 3607, 30, 1769, 3644, 47, 35, 34, 38, 42, 39, 41, 40, 30, 12780, 1534, 47, 35, 34, 27, 284, 4899, 32, 470, 8736, 26, 7490, 32, 8736, 26, 761, 81, 1643, 30, 6611, 75, 9299, 95, 9299, 36893, 23, 58, 6069, 63, 2847, 284, 5741, 32, 10579, 922, 669, 1972, 26, 4531, 27, 284, 5741, 32, 10579, 922, 34318, 26, 7490, 32, 2897, 27, 284, 415, 646, 28805, 44, 291, 415, 1245, 81, 2649, 438, 225, 35, 34, 44, 324, 2549, 81, 1643, 280, 6611, 26, 302, 27749, 7824, 35, 39, 101, 18147, 2649, 426, 7824, 42, 101, 18147, 426, 7824, 35, 35, 101, 18147, 1436, 27, 101, 25, 324, 2549, 81, 770, 3972, 280, 6611, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 25, 291, 813, 44, 324, 2549, 81, 1643, 280, 6611, 26, 1436, 27, 101, 25, 324, 2549, 81, 770, 3972, 280, 4247, 291, 2549, 81, 14548, 280, 5741, 32, 8736, 26, 4466, 81, 1643, 30, 2549, 81, 770, 3972, 27, 291, 2549, 280, 5741, 32, 1862, 1972, 346, 291, 2549, 32, 34318, 26, 751, 81, 2649, 27, 291, 2549, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 3, 3, 3, 6, 6, 7, 7, 2, 2, 4, 4, 8, 8, 8, 6, 7, 5, 5, 8, 8, 6, 7, 7, 5, 5, 8, 8, 6, 7, 7, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 8, 8, 6, 7, 7, 5, 5, 8, 8, 6, 7, 7, 5, 5, 8, 8, 6, 7, 7, 5, 2, 2, 3, 5, 6, 5, 5, 5, 3, 3, 6, 6, 8, 9, 8, 9, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 3, 6, 6, 9, 10, 8, 9, 8, 8, 8, 11, 12, 10, 11, 11, 10, 12, 12, 8, 8, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 8, 8, 2, 2, 4, 4, 6, 7, 6, 8, 8, 6, 9, 10, 8, 9, 9, 8, 10, 10, 2, 2, 3, 3, 3, 7, 8, 7, 12, 11, 12, 10, 11, 10, 11, 10, 9, 8, 3, 3, 4, 5, 4, 4, 4, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 3, 4, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 6, 2, 2, 5, 6, 6, 6, 5, 6, 6, 5, 5, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 6, 6, 5, 5, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 7, 8, 6, 7, 7, 7, 7, 6, 7, 6, 6, 8, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 7, 8, 8, 6, 2, 2, 5, 6, 6, 5, 8, 7, 8, 7, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 7, 8, 7, 6, 6, 5, 6, 5, 2, 2, 7, 8, 7, 6, 5, 7, 6, 7, 5, 2, 2, 3, 4, 3, 3, 3, 5, 7, 7, 6, 6, 7, 7, 5, 5, 5, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 6, 6, 6, 10, 10, 9, 9, 11, 11, 11, 11, 11, 7, 7, 10, 10, 10, 9, 9, 4, 4, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 8, 7, 4, 4, 7 ]
[ 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 3, 3, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 3, 3, 0, 1, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 1, 2, 7, 2, 2, 2, 2, 2, 1, 2, 9, 2, 2, 2, 2, 1, 2, 11, 2, 2, 2, 2, 1, 2, 13, 2, 2, 2, 2, 1, 2, 15, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 4, 4, 3, 0, 4, 4, 1, 1, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 4, 4, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 3, 1, 3, 3, 3, 4, 4, 3, 0, 5, 5, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 5, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 2, 1, 0, 1, 2, 1, 4, 4, 9, 1, 9, 9, 9, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 3, 3, 0, 0, 0, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0 ]
[ 465, 13984, 2144, 203, 465, 13984, 2144, 32, 10419, 203, 1070, 13984, 2144, 32, 858, 1356, 1188, 439, 1006, 203, 465, 13092, 203, 1070, 13984, 2144, 32, 3515, 1188, 1884, 17630, 36, 203, 1070, 13984, 2144, 32, 3515, 32, 23626, 1188, 17158, 2828, 203, 1070, 13984, 2144, 32, 1160, 1188, 19104, 59, 30, 19104, 1658, 2359, 59, 30, 1283, 462, 449, 1403, 1564, 59, 30, 4361, 59, 203, 1070, 13984, 2144, 32, 1160, 1188, 9130, 7942, 59, 203, 1070, 13984, 2144, 32, 1160, 1188, 5412, 9395, 2359, 59, 30, 5412, 59, 30, 447, 1089, 59, 30, 14215, 59, 203, 1070, 13984, 2144, 32, 1160, 1188, 1283, 462, 449, 1403, 59, 203, 1070, 13984, 2144, 32, 100, 2516, 1188, 540, 800, 30, 42602, 203, 1070, 13984, 2144, 32, 1237, 1188, 9875, 203, 16856, 280, 330, 8495, 336, 25, 203, 4409, 13008, 280, 330, 100, 7015, 1559, 25, 203, 4409, 927, 3908, 1757, 280, 330, 8495, 1691, 287, 25, 203, 21709, 1319, 280, 330, 100, 7015, 105, 287, 25, 203, 823, 2108, 828, 17630, 26, 38438, 711, 284, 665, 894, 828, 17630, 40820, 1658, 26, 784, 711, 291, 2043, 30, 2910, 280, 630, 32, 890, 81, 1580, 81, 363, 81, 496, 346, 291, 30666, 280, 630, 32, 890, 81, 1363, 26, 10850, 483, 6020, 2832, 614, 38875, 47, 21709, 1319, 27, 291, 29065, 280, 30666, 32, 314, 32, 695, 291, 2043, 32, 6449, 32, 371, 4191, 1183, 922, 33442, 1222, 346, 16189, 5703, 280, 630, 32, 465, 81, 9539, 81, 761, 26, 426, 347, 858, 828, 17630, 40820, 1658, 392, 10000, 2043, 47, 1580, 27, 291, 1778, 280, 5703, 77, 34, 79, 291, 663, 17630, 280, 1884, 17630, 36, 26, 1977, 6692, 12516, 1658, 950, 428, 893, 32, 314, 32, 695, 15755, 26254, 47, 15946, 27, 291, 630, 32, 1409, 81, 4737, 26, 380, 17630, 30, 2043, 27, 291, 5605, 280, 2043, 32, 6449, 32, 371, 4191, 1183, 346, 291, 5605, 32, 27380, 1564, 26, 2832, 30, 1283, 462, 449, 1403, 1564, 59, 26, 15946, 30, 3177, 490, 291, 630, 32, 470, 81, 1819, 26, 1580, 30, 29065, 27, 291, 4791, 280, 2043, 32, 6449, 32, 30750, 1183, 922, 371, 440, 1658, 392, 1778, 32, 314, 32, 695, 27, 291, 1201, 4791, 32, 3958, 32, 1363, 32, 314, 32, 695, 610, 29065, 284, 665, 894, 828, 17630, 1658, 26, 784, 711, 291, 2043, 30, 2910, 280, 630, 32, 890, 81, 1580, 81, 363, 81, 496, 346, 291, 30666, 280, 630, 32, 890, 81, 1363, 2009, 2832, 1130, 291, 29065, 280, 30666, 32, 314, 32, 695, 291, 2043, 32, 6449, 32, 371, 4191, 1183, 922, 33442, 1222, 346, 16189, 1974, 280, 2043, 32, 6449, 32, 371, 2333, 1183, 346, 291, 2467, 280, 2043, 32, 6449, 32, 30750, 1183, 346, 291, 5605, 280, 2043, 32, 6449, 32, 371, 4191, 1183, 346, 291, 1932, 81, 15946, 280, 5605, 32, 33442, 1222, 922, 11178, 291, 10180, 280, 630, 32, 2682, 81, 5613, 26, 426, 347, 858, 828, 17630, 1658, 81, 1977, 392, 2043, 47, 1580, 27, 291, 10180, 81, 314, 280, 10180, 32, 314, 32, 695, 291, 5605 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 10, 9, 11, 10, 8, 9, 10, 10, 8, 4, 4, 6, 6, 8, 9, 7, 8, 4, 4, 10, 11, 9, 10, 10, 10, 9, 8, 8, 7, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 10, 9, 11, 11, 11, 11, 11, 11, 8, 8, 9, 10, 8, 4, 4, 6, 6, 7, 8, 7, 4, 4, 7, 6, 6, 8, 8, 8, 10, 10, 9, 13, 13, 11, 15, 14, 15, 13, 14, 12, 8, 9, 10, 8, 4, 4, 7, 8, 8, 8, 7, 8, 8, 7, 7, 7, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 7, 4, 4, 6, 6, 11, 12, 10, 11, 11, 10, 9, 8, 10, 10, 8, 10, 11, 9, 10, 8, 4, 4, 5, 10, 11, 9, 10, 8, 9, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9, 4, 4, 6, 6, 8, 9, 7, 8, 4, 4, 10, 11, 9, 10, 10, 10, 9, 8, 8, 7, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 8, 4, 4, 6, 6, 9, 10, 8, 9, 9, 8, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 9, 10, 10, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9, 11, 11, 11, 11, 11, 11, 11, 8, 9, 10, 8, 4, 4, 7, 7, 6, 6, 8, 9, 7, 8, 4, 4 ]
[ 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 0, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 0, 0, 0, 10, 10, 0, 1, 2, 2, 10, 10, 0, 10, 10, 0, 11, 11, 0, 1, 2, 11, 11, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 16, 16, 1, 1, 2, 1, 2, 16, 16, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 3, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 3, 2, 1, 4, 4, 12, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4 ]
[ 465, 33943, 203, 465, 802, 203, 465, 33943, 4313, 203, 465, 5592, 8358, 1356, 203, 1070, 767, 32, 9881, 32, 6443, 32, 2795, 1188, 1593, 3782, 7584, 203, 325, 1156, 426, 505, 46, 5844, 1320, 563, 284, 645, 5034, 32, 8463, 1188, 319, 284, 645, 5034, 32, 731, 1188, 3081, 3728, 284, 645, 5034, 32, 8239, 1188, 319, 284, 645, 4226, 3012, 1188, 319, 284, 645, 5034, 32, 751, 3734, 1188, 319, 284, 645, 5034, 32, 8358, 1188, 319, 284, 645, 10653, 1006, 1188, 319, 284, 3500, 347, 858, 81, 1199, 35, 20, 284, 12373, 280, 225, 37, 203, 823, 39738, 383, 26, 33943, 4313, 32, 1761, 30, 1593, 3782, 7584, 8063, 284, 665, 1156, 1664, 3207, 784, 30, 309, 959, 20706, 309, 3818, 20706, 309, 4140, 20706, 309, 12566, 20706, 323, 1792, 14504, 47, 2700, 711, 291, 10653, 1006, 346, 291, 630, 32, 751, 2067, 47, 3703, 346, 291, 415, 646, 6207, 1517, 461, 1156, 426, 505, 11490, 1320, 563, 324, 4323, 26, 35, 27, 291, 630, 32, 4463, 280, 4581, 5824, 3728, 26, 40, 34, 30, 225, 39, 34, 30, 225, 35, 42, 34, 30, 225, 36, 39, 34, 30, 313, 18293, 383, 7958, 657, 291, 630, 32, 4463, 32, 669, 8222, 1031, 440, 10690, 3818, 392, 225, 36, 30, 225, 35, 36, 30, 225, 40, 34, 30, 225, 35, 39, 30, 313, 6692, 372, 5258, 544, 499, 657, 291, 630, 32, 4463, 32, 669, 11245, 440, 30734, 3818, 392, 225, 35, 42, 34, 31, 35, 36, 34, 31, 36, 30, 225, 35, 34, 30, 225, 35, 36, 34, 30, 225, 35, 39, 30, 1815, 30, 1623, 2221, 11105, 47, 784, 32, 30734, 3818, 81, 4347, 27, 291, 630, 32, 2372, 3818, 280, 630, 32, 4463, 32, 371, 2422, 26, 313, 30734, 3818, 20, 829, 291, 630, 32, 4463, 32, 669, 8222, 1031, 440, 10690, 4140, 392, 225, 35, 34, 30, 225, 37, 36, 30, 225, 40, 34, 30, 225, 35, 39, 30, 313, 1176, 372, 5258, 544, 499, 657, 291, 630, 32, 4463, 32, 669, 8988, 30852, 440, 9980, 4140, 392, 225, 35, 42, 34, 31, 35, 36, 34, 31, 36, 30, 225, 37, 34, 30, 225, 35, 36, 34, 30, 225, 35, 39, 34, 30, 3177, 30, 1094, 2221, 11105, 47, 784, 32, 9980, 1501, 81, 4347, 27, 291, 630, 32, 2372, 1176, 280, 630, 32, 4463, 32, 371, 2422, 26, 313, 9980, 4140, 20, 829, 291, 630, 32, 4463, 32, 669, 8222, 1031, 440, 10690, 558, 392, 225, 35, 36, 30, 225, 35, 42, 41, 30, 225, 40, 34, 30, 225, 35, 39, 30, 313, 3818, 636, 499, 657, 291, 630, 32, 4463, 32, 669, 3579, 440, 2760, 558, 392, 225, 35, 42, 34, 31, 35, 36, 34, 31, 36, 30, 225, 35, 42, 39, 30, 225, 35, 36, 34, 30, 225, 35, 39, 21713, 291, 630, 32, 4463, 32, 669, 8222, 1031, 440, 10690, 71, 558, 392, 225, 42, 30, 225, 36, 34, 41, 30, 225, 40, 34, 30, 225, 35, 39, 30, 313, 27363, 636, 499, 657, 291, 630, 32, 4463, 32, 669, 3579, 440 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 4, 5, 3, 3, 2, 2, 3, 4, 5, 3, 3, 5, 2, 2, 3, 4, 5, 3, 3, 2, 2, 3, 5, 3, 3, 2, 2, 3, 4, 5, 5, 3, 3, 2, 2, 3, 4, 5, 3, 3, 2, 2, 3, 5, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 2, 2, 4, 4, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 5, 4, 6, 5, 4, 6, 5, 4, 6, 5, 4, 6, 6, 5, 6, 4, 3, 3, 7, 7, 4, 4, 7, 8, 8, 6, 8, 8, 4, 4, 5, 7, 8, 6, 6, 8, 8, 7, 9, 9, 5, 5, 9, 10, 9, 4, 4, 7, 8, 6, 6, 8, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 7, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 4, 4, 8, 9, 7, 8, 8, 7, 9, 9, 9, 7, 10, 10, 10, 9, 10, 10, 10, 8, 9, 7, 7, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 8, 7, 7, 9, 9, 8, 10, 9, 10, 10, 10, 10, 7, 4, 4, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 8, 8, 10, 10, 10, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 7, 10, 10, 10, 9, 10, 10, 10, 8, 9, 7, 7, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 7, 9, 9, 9, 8, 10, 9, 10, 10, 10, 10, 7, 4, 4, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 8, 8, 10, 10, 10, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 7, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 9, 9, 9, 9, 4, 4, 8, 9, 7, 8, 8, 7, 9, 9, 9, 7, 10, 10, 10, 9, 10, 10, 10, 8, 9, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 9, 9, 9, 9, 4, 4, 8, 9, 7, 8, 8, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 5, 5, 0, 0, 1, 1, 1, 2, 5, 5, 0, 1, 2, 0, 0, 3, 3, 1, 1, 2, 1, 1, 0, 3, 3, 2, 1, 2, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 4, 1, 2, 2, 4, 4, 3, 3, 5, 1, 2, 5, 5, 3, 3, 6, 0, 6, 6, 3, 3, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 0, 6, 6, 1, 2, 2, 0, 1, 2, 2, 2, 3, 3, 2, 6, 6, 0, 1, 1, 1, 2, 2, 0, 3, 2, 0, 5, 2, 0, 7, 2, 0, 9, 2, 0, 0, 11, 2, 2, 0, 0, 0, 1, 4, 4, 0, 2, 2, 0, 0, 1, 4, 4, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 7, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 3, 2, 1, 1, 5, 5, 1, 1, 7, 7, 7, 1, 1, 9, 9, 1, 11, 1, 1, 0, 0, 13, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 3, 2, 1, 1, 5, 5, 1, 1, 7, 7, 7, 1, 1, 9, 9, 9, 1, 1, 1, 0, 0, 0, 13, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 1, 1, 7, 7, 7, 1, 1, 9, 9, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 1 ]
[ 465, 2322, 203, 465, 5237, 203, 1070, 13625, 1188, 31466, 203, 1070, 2680, 720, 1188, 2680, 720, 203, 3731, 32, 983, 32, 1689, 26, 500, 32, 12757, 710, 38243, 81, 14769, 81, 4065, 785, 474, 766, 203, 202, 18010, 8121, 33, 2958, 33, 16923, 31, 4790, 31, 1733, 33, 1356, 33, 16923, 33, 4790, 683, 203, 3731, 32, 983, 32, 1689, 463, 8121, 33, 2958, 33, 16923, 31, 4790, 31, 1733, 33, 1356, 33, 16923, 33, 4790, 683, 203, 1070, 24605, 81, 5707, 81, 1819, 1188, 319, 203, 1070, 7349, 1188, 319, 203, 1070, 358, 2339, 7885, 1188, 319, 203, 10459, 280, 301, 225, 34, 499, 313, 17431, 3612, 203, 589, 3664, 81, 426, 26, 6320, 711, 203, 202, 601, 5461, 101, 6069, 86, 20, 904, 308, 10459, 77, 6320, 614, 12497, 27, 203, 823, 4489, 3926, 1151, 5842, 44, 203, 202, 50, 16099, 203, 202, 589, 1963, 2262, 357, 202, 601, 1665, 203, 202, 589, 1156, 13707, 3207, 784, 711, 357, 202, 601, 313, 6876, 20, 203, 823, 4489, 3926, 1151, 15160, 44, 203, 202, 50, 16099, 203, 202, 589, 1963, 2262, 357, 202, 601, 308, 34, 30, 225, 34, 30, 225, 34, 3126, 27, 203, 202, 589, 1156, 1664, 3207, 784, 30, 38802, 12394, 711, 357, 202, 784, 32, 37936, 12394, 280, 38802, 12394, 203, 202, 589, 1156, 13707, 3207, 784, 711, 357, 202, 601, 5461, 101, 24766, 372, 9368, 20, 904, 3664, 81, 426, 26, 784, 32, 37936, 12394, 27, 203, 823, 4489, 3926, 1151, 38087, 417, 44, 203, 202, 50, 16099, 203, 202, 589, 1963, 2262, 357, 202, 601, 308, 34, 3126, 30, 225, 34, 3126, 30, 225, 34, 27, 203, 202, 589, 1156, 1664, 3207, 784, 30, 32245, 87, 711, 357, 202, 784, 32, 27762, 87, 280, 32245, 87, 203, 202, 589, 1156, 13707, 3207, 784, 711, 357, 202, 601, 5461, 101, 34258, 479, 973, 20, 904, 3664, 81, 426, 26, 784, 32, 27762, 87, 27, 203, 823, 4489, 3926, 1151, 25485, 44, 203, 202, 50, 16099, 203, 202, 589, 1963, 2262, 357, 202, 601, 308, 34, 30, 225, 34, 3126, 30, 225, 34, 27, 203, 202, 589, 1156, 1664, 3207, 784, 30, 2838, 711, 357, 202, 784, 32, 2661, 280, 2838, 203, 202, 589, 1156, 13707, 3207, 784, 711, 357, 202, 601, 313, 890, 46156, 2899, 904, 101, 20, 904, 3664, 81, 426, 26, 784, 32, 2661, 27, 203, 823, 4489, 3926, 41590, 383, 44, 203, 202, 50, 16099, 203, 202, 589, 1963, 2262, 357, 202, 601, 308, 34, 30, 225, 34, 2072, 34, 30, 225, 34, 3126, 27, 203, 202, 589, 1156, 1664, 3207, 784, 30, 537, 711, 357, 202, 784, 32, 890, 280, 537, 203, 202, 589, 1156, 13707, 3207, 784, 711, 357, 202, 601, 313, 2795, 46504, 328, 904, 101, 20, 904, 3664, 81, 426, 26, 784, 32, 890, 27, 203, 823, 4489, 3926, 41590, 1512, 44, 203, 202, 50, 16099, 203, 202, 589, 1963, 2262, 357, 202, 601, 308, 34, 3126, 30, 225, 34, 30, 225, 34, 3126, 27, 203, 202, 589, 1156, 1664, 3207, 784, 30, 3610, 711, 357, 202, 784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 5, 4, 5, 3, 4, 3, 7, 6, 7, 5, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 5, 4, 5, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 3, 2, 2, 3, 5, 4, 4, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 3, 6, 6, 6, 6, 4, 4, 7, 6, 7, 6, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 1, 4, 5, 3, 3, 4, 4, 5, 4, 4, 6, 6, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 5, 5, 7, 7, 0, 1, 1, 2, 2, 2, 1, 1, 1, 4, 5, 3, 3, 4, 4, 5, 4, 4, 6, 6, 8, 7, 7, 8, 7, 7, 8, 8, 7, 2, 2, 3, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 8, 7, 8, 8, 6, 6, 7, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 5, 5, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 10, 9, 10, 10, 8, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 4, 5, 3, 3, 4, 4, 5, 4, 4, 6, 6, 8, 8, 7, 7, 8, 8, 7, 7, 8, 7, 2, 2, 3, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 8, 7, 8, 8, 6, 6, 7, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 5, 5, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 10, 9, 10, 10, 8, 0, 1, 1, 2, 2, 2, 1, 1, 1, 4, 5, 3, 3, 4, 4, 5, 4, 4, 6, 6, 8, 7, 7, 8, 8, 7, 7, 8, 7, 2, 2, 3, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 7, 8, 6, 6, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 10, 9, 10, 8, 0, 1, 1, 2, 2, 2, 1, 1, 1, 4, 5, 3, 3, 4, 4, 5, 4, 4, 6, 6, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 2, 2, 3, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 7, 8, 6, 6, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 10, 9, 10, 8, 0, 1, 1, 2, 2, 2, 1, 1, 1, 4, 5, 3, 3, 4, 4, 5, 4, 4, 6, 6, 8, 8, 7, 7, 8, 7, 7, 8, 8, 7, 2, 2, 3, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 7, 7, 7, 7, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 11, 11, 1, 1, 1, 11, 11, 11, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 12, 12, 1, 1, 1, 12, 12, 12, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 3, 1, 1, 5, 5, 1, 3, 3, 1, 1, 1, 1, 1, 2, 2, 3, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 3, 3, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 13, 13, 1, 1, 1, 1, 13, 13, 13, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 3, 3, 1, 1, 1, 1, 1, 2, 2, 3, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 3, 3, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 14, 14, 1, 1, 1, 14, 14, 14, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 3, 3, 1, 1, 5, 1, 3, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 3, 3, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 15, 15, 1, 1, 1, 15, 15, 15, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 1, 3, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 3, 3, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 16, 16, 1, 1, 1, 16, 16, 16, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 3, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0 ]
[ 1070, 3089, 749, 98, 32, 500, 104, 1188, 46474, 30, 3829, 203, 823, 46068, 9855, 81, 4330, 26, 494, 32, 1243, 711, 284, 617, 6815, 280, 330, 15634, 9855, 32, 4330, 25, 284, 617, 6057, 280, 301, 291, 330, 833, 3902, 4008, 81, 314, 25, 499, 3829, 32, 11374, 36, 658, 2726, 15634, 9855, 32, 833, 3902, 4008, 370, 330, 2822, 3902, 4008, 1425, 284, 320, 203, 15634, 9855, 81, 4330, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 7, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 5, 5, 0, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 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 ]
[ 505, 2116, 505, 280, 330, 25693, 464, 475, 812, 1155, 25, 203, 505, 770, 505, 280, 330, 47456, 225, 36, 34, 35, 40, 25, 203, 505, 11794, 505, 280, 15584, 53, 27, 225, 36, 34, 35, 40, 30, 489, 107, 464, 475, 812, 1155, 25, 203, 465, 2322, 203, 1070, 13625, 1188, 33953, 203, 1070, 2678, 21031, 32, 4997, 9071, 32, 37571, 1188, 1910, 2913, 203, 1070, 2678, 21031, 32, 1262, 1188, 308, 67, 5360, 2727, 30, 5556, 1910, 5360, 4228, 1104, 30, 5556, 1910, 5360, 21579, 36206, 30, 5556, 1910, 5360, 11415, 30, 5556, 1910, 5360, 11415, 984, 30, 5556, 1910, 5360, 11415, 3012, 4228, 2028, 30, 5556, 1910, 5360, 11415, 3012, 1918, 30, 5556, 1910, 5360, 11415, 3012, 8457, 30, 5556, 1910, 5360, 11415, 3012, 1176, 30, 5556, 1910, 5360, 11415, 3012, 2759, 30, 5556, 1910, 5360, 11415, 3012, 3373, 30, 5556, 1910, 5360, 11415, 3012, 21579, 11340, 27, 203, 1070, 2678, 21031, 32, 11382, 1188, 1910, 5360, 10038, 25508, 46665, 203, 1070, 8202, 32, 279, 5360, 32, 99, 21031, 32, 67, 21031, 10448, 1188, 1910, 21031, 10448, 203, 2796, 1215, 280, 2322, 32, 983, 32, 2998, 26, 500, 32, 983, 32, 2998, 26, 500, 32, 983, 32, 7781, 4064, 761, 28154, 77, 34, 33192, 34, 79, 203, 823, 4389, 10822, 26, 67, 21031, 10448, 711, 284, 20587, 280, 330, 10840, 25, 284, 33117, 28996, 280, 330, 43388, 25, 284, 33117, 28996, 81, 6447, 280, 330, 43388, 81, 6447, 25, 284, 31180, 4006, 81, 6447, 280, 330, 29045, 81, 6447, 25, 284, 41304, 2146, 81, 3364, 280, 330, 21342, 81, 3364, 25, 284, 1224, 19859, 280, 330, 23033, 25, 284, 24308, 2730, 280, 330, 14221, 2730, 25, 284, 21451, 81, 5975, 280, 330, 10843, 81, 5975, 25, 284, 21451, 280, 330, 10843, 25, 284, 665, 4269, 26, 784, 711, 291, 442, 1910, 5360, 2727, 32, 371, 6532, 2913, 4207, 35796, 32, 3672, 657, 284, 665, 5911, 26, 784, 711, 291, 442, 630, 32, 359, 463, 35796, 30, 93, 286, 30, 8079, 7512, 1814, 2998, 35052, 284, 665, 2350, 26, 784, 711, 291, 442, 630, 32, 359, 463, 38126, 683, 284, 665, 26254, 26, 784, 711, 291, 442, 330, 37654, 25, 284, 665, 636, 26, 784, 711, 291, 442, 330, 35796, 6474, 18279, 445, 3416, 25, 284, 665, 23085, 26, 784, 711, 291, 442, 630, 32, 359, 463, 1331, 10822, 308, 10038, 475, 7385, 14164, 3416, 19188, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 17094, 1664, 16369, 284, 665, 3219, 10448, 26, 784, 30, 1359, 47, 2521, 711, 291, 630, 32, 23033, 69, 280, 33953, 43270, 784, 32, 359, 463, 1238, 502, 295, 1425, 1910, 5360, 10038, 25508, 46665, 32, 10038, 1238, 502, 295, 471, 1891, 308, 784, 32, 359, 463, 6953, 5089, 1425, 1910, 5360, 10038, 25508, 46665, 32, 10038, 6953, 5089, 471, 1891, 308, 784, 32, 359, 463, 11938, 1425, 1910, 5360, 10038, 25508, 46665, 32, 10038, 11938, 471, 1891, 308, 784, 32, 359, 463, 6953, 3292, 1425, 1910, 5360, 10038, 25508, 46665, 32, 10038, 6953, 3292, 471, 1891, 308, 784, 32, 359, 463, 16185, 2600, 380 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 2, 2, 6, 7, 5, 6, 5, 10, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 6, 7, 6, 4, 3, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 2, 2, 5, 4, 4, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 8, 7, 8, 8, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 7, 9, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 9, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 6, 6, 8, 13, 12, 13, 12, 14, 14, 14, 14, 10, 12, 12, 12, 12, 11, 12, 12, 12, 12, 10, 9, 9, 13, 12, 13, 12, 14, 14, 14, 10, 12, 12, 12, 12, 11, 12, 12, 12, 10, 9, 9, 13, 12, 13, 12, 14, 14, 10, 12, 12, 12, 12, 11, 12, 12, 10, 9, 9, 13, 12, 13, 12, 14, 14, 14, 10, 12, 12, 12, 12, 11, 12, 12, 12, 10, 9, 9, 13, 12, 13, 12, 14, 14, 14 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 1, 2, 2, 1, 4, 5, 5, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 0, 0, 8, 8, 1, 2, 2, 1, 4, 4, 1, 6, 6, 6, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 10, 10, 1, 2, 1, 1, 1, 2, 10, 10, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 9, 2, 1, 2, 9, 9, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 10, 2, 1, 2, 10, 10, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 11, 2, 1, 2, 11, 11, 0, 0, 2, 1, 1, 2, 4, 4, 12, 2, 1, 2, 12, 12, 0, 1, 2, 4, 4, 13, 2, 1, 2, 13, 13, 0, 1, 1, 1, 1, 1, 2, 4, 4, 14, 2, 1, 2, 14, 14, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 15, 1, 1, 1, 2, 15, 15, 1, 2, 2, 4, 4, 16, 1, 2, 1, 2, 2, 3, 2, 2, 16, 16, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 3, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 3, 0, 0, 0, 0, 3, 2, 2, 2, 3, 1, 1, 0, 0, 2, 1, 1, 2, 5, 0, 0, 0, 0, 3, 2, 2, 5, 1, 1, 0, 0, 2, 1, 1, 1, 2, 7, 0, 0, 0, 0, 3, 2, 2, 2, 7, 1, 1, 0, 0, 2, 1, 1, 1, 1 ]
[ 465, 1619, 1356, 203, 465, 11171, 203, 465, 4395, 203, 1070, 2322, 315, 32, 1163, 1188, 8444, 203, 1070, 1168, 33367, 32, 4867, 32, 2282, 1188, 1359, 619, 7669, 81, 1163, 203, 1070, 1168, 33367, 32, 4867, 1188, 456, 37, 81, 4867, 203, 1070, 1168, 33367, 32, 4867, 32, 4783, 1188, 4749, 81, 1356, 203, 1070, 1168, 33367, 32, 2282, 1188, 1359, 619, 1695, 81, 1163, 203, 1070, 1168, 33367, 1188, 1619, 203, 1070, 1168, 33367, 32, 5558, 32, 2282, 1188, 12388, 203, 1070, 1168, 33367, 32, 4255, 32, 32593, 32, 22705, 32, 94, 37, 3576, 1188, 24813, 81, 94, 37, 81, 4867, 203, 1070, 1168, 33367, 32, 4882, 1188, 1695, 203, 1070, 1168, 33367, 32, 4882, 32, 2243, 32, 4255, 32, 32593, 32, 22705, 1188, 894, 81, 32593, 81, 4867, 81, 1237, 203, 823, 506, 25402, 302, 2762, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3408, 711, 291, 3097, 203, 823, 506, 25402, 302, 6143, 26, 32593, 81, 94, 37, 81, 4867, 32, 11842, 2321, 3898, 37, 6143, 12214, 3296, 30, 506, 25402, 302, 2762, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3570, 47, 2521, 711, 291, 2599, 26, 11842, 83, 302, 6143, 30, 630, 14585, 1664, 3207, 2957, 27, 203, 823, 2108, 56, 7237, 302, 62, 37, 6143, 12214, 3296, 26, 1439, 32, 1761, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 1006, 56, 7237, 302, 62, 37, 6143, 12214, 3296, 30, 630, 547, 23741, 346, 291, 630, 32, 2957, 280, 8444, 32, 1063, 13112, 346, 291, 630, 32, 2957, 32, 3317, 81, 6363, 26, 1439, 81, 1163, 32, 1262, 81, 6363, 27, 291, 630, 32, 2957, 32, 3317, 81, 6363, 26, 94, 37, 81, 4867, 32, 62, 37, 22823, 6143, 32, 32278, 27, 291, 7669, 81, 1163, 32, 3317, 81, 539, 81, 21043, 81, 6363, 81, 4313, 26, 784, 32, 2957, 27, 291, 7669, 81, 1163, 32, 3317, 81, 2388, 81, 4313, 26, 784, 32, 2957, 27, 291, 630, 32, 2957, 32, 2388, 81, 4313, 280, 330, 9860, 25, 291, 630, 32, 1237, 280, 506, 25402, 302, 6143, 26, 784, 32, 2957, 27, 291, 630, 32, 1237, 32, 88, 7237, 302, 81, 5350, 280, 894, 81, 32593, 81, 4867, 81, 1237, 32, 2023, 520, 56, 7237, 302, 6636, 346, 284, 665, 894, 81, 1297, 81, 32593, 26, 784, 711, 291, 11152, 81, 32593, 280, 5053, 314, 950, 225, 34, 111, 291, 623, 4395, 32, 2675, 32, 1473, 26, 324, 630, 32, 1237, 30, 324, 7610, 7844, 81, 5350, 81, 979, 81, 2796, 81, 1237, 25, 291, 829, 619, 4395, 81, 5350, 44, 324, 630, 32, 5299, 26, 400, 630, 32, 1237, 32, 1297, 81, 32593, 26, 528, 4395, 32, 34652, 32, 1819, 30, 528, 11152, 81, 32593, 30, 528, 330, 2035, 1425, 400, 4395, 81, 5350, 32, 601, 81, 853, 27, 284, 665, 894, 81, 1877, 81, 32593, 26, 784, 711, 291, 11152, 81, 32593, 280, 5053, 314, 950, 225, 34, 111, 291, 623, 4395, 32, 2675, 32, 1473, 26, 324, 630, 32, 1237, 30, 324, 7610, 7844, 81, 5350, 81, 979 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 10, 10, 10, 10, 9, 10, 10, 10, 10, 8, 9, 7, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 8, 9, 7, 8, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 10, 9, 10, 8, 4, 4, 8, 9, 7, 8, 8, 8, 8, 8, 6, 6, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 10, 10, 8, 9, 7, 4, 4, 5, 11, 12, 10, 11, 10, 10, 10, 11, 12, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 8, 8, 10, 10, 5, 5, 5, 9, 10, 9, 9, 9, 12, 13, 11, 12, 12, 12, 11, 11, 11, 13, 14, 12, 13, 11, 11, 11, 12, 12, 11, 11, 11, 13, 13, 9, 9, 11, 11, 10, 11, 11, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 10, 10, 8, 9, 7, 4, 4, 5, 11, 12, 10, 11, 10, 10, 10, 11, 12, 10, 10, 10, 12, 12, 12, 12, 12 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 3, 3, 2, 2, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 3, 3, 2, 2, 0, 8, 8, 0, 8, 8, 0, 9, 9, 0, 1, 2, 1, 4, 9, 9, 0, 10, 10, 0, 1, 2, 1, 4, 1, 6, 1, 8, 8, 8, 10, 10, 0, 0, 0, 0, 0, 0, 11, 11, 0, 1, 2, 11, 11, 0, 12, 12, 0, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 12, 12, 0, 0, 0, 0, 0, 0, 0, 13, 13, 1, 1, 1, 2, 1, 2, 13, 13, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 14, 14, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 14, 14, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 15, 15, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 15, 15, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 1133, 203, 1070, 11993, 1188, 6204, 30, 14580, 30, 1682, 30, 5648, 30, 16736, 30, 16545, 203, 465, 5167, 203, 1070, 9270, 33721, 826, 32, 21533, 1188, 1968, 203, 1070, 15306, 1867, 32, 11452, 1188, 18966, 1867, 984, 203, 1070, 15306, 1867, 32, 13889, 32, 2175, 32, 2282, 32, 12329, 32, 1439, 81, 2175, 1188, 6597, 1761, 9824, 203, 4804, 81, 1407, 81, 36293, 81, 521, 81, 18382, 280, 225, 35, 203, 823, 7578, 10905, 9824, 26, 7732, 1761, 9824, 711, 284, 617, 3781, 280, 1665, 10065, 665, 1156, 1664, 3207, 291, 630, 30, 291, 4125, 81, 1648, 44, 596, 30, 291, 485, 2219, 81, 3781, 81, 314, 44, 596, 280, 313, 2175, 81, 3209, 81, 1536, 392, 291, 11165, 81, 452, 44, 5648, 77, 466, 79, 280, 1665, 30, 291, 1360, 2903, 367, 81, 5074, 44, 5648, 77, 14185, 77, 466, 30, 16736, 77, 466, 37843, 280, 1665, 30, 284, 829, 967, 1665, 44, 291, 2599, 17094, 1664, 3207, 324, 485, 2219, 81, 3781, 81, 314, 47, 32597, 81, 3781, 81, 314, 30, 324, 11165, 81, 452, 47, 14388, 81, 452, 30, 324, 1360, 2903, 367, 81, 5074, 47, 421, 2903, 367, 81, 5074, 30, 291, 829, 291, 630, 32, 1237, 81, 1648, 280, 4125, 81, 1648, 284, 477, 16099, 284, 665, 617, 2620, 81, 2645, 26, 2250, 81, 314, 44, 596, 30, 3894, 44, 596, 27, 967, 596, 44, 291, 442, 296, 25, 7297, 5263, 2250, 81, 314, 3188, 13471, 5263, 2645, 8129, 284, 665, 622, 81, 3781, 26, 784, 27, 967, 1968, 44, 291, 415, 646, 630, 1114, 3781, 44, 324, 1913, 81, 12995, 280, 630, 1114, 22582, 346, 324, 630, 1114, 3781, 280, 1968, 26, 400, 330, 3209, 8239, 370, 630, 32, 1237, 81, 1648, 30, 1913, 47, 525, 81, 12995, 30, 3320, 81, 21533, 47, 2700, 324, 829, 291, 442, 630, 1114, 3781, 284, 665, 622, 81, 1126, 26, 784, 30, 636, 44, 596, 27, 967, 5436, 44, 291, 442, 630, 32, 371, 81, 3781, 922, 7297, 922, 13471, 922, 8239, 922, 371, 26, 23688, 636, 47, 426, 547, 4526, 26, 1516, 81, 31039, 47, 784, 32, 1516, 81, 31039, 27, 284, 477, 7732, 1761, 9824, 32, 24034, 81, 452, 81, 1536, 81, 2250, 81, 314, 284, 665, 1487, 81, 890, 81, 1126, 26, 784, 30, 3894, 44, 596, 30, 3361, 44, 5436, 30, 2074, 81, 314, 44, 596, 27, 967, 1665, 44, 291, 1789, 280, 630, 32, 371, 81, 3781, 922, 7297, 922, 13471, 922, 8239, 922, 1297, 26, 23688, 3894, 47, 784, 1114, 2620, 81, 2645, 26, 2250, 81, 314, 30, 3894, 471, 324, 3361, 47, 1548, 291, 6804, 4526, 26, 1516, 81, 31039, 47, 784, 32, 1516, 81, 31039, 27, 291, 4212, 81, 426, 280, 1789, 1365, 426, 1446, 291, 630, 1114, 1684, 81, 979, 81, 7428, 81, 452, 81, 5898, 26, 7428, 81, 426, 47, 7428, 81, 426, 27, 284, 665, 1974, 81, 1126, 26, 784, 30, 636, 44, 596, 30, 3361, 44, 5436, 30, 1974, 81, 3965, 44, 1682, 77, 466, 1130, 967, 1665, 44, 291, 1789, 280, 630, 32, 371 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 4, 4, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 5, 5, 8, 10, 8, 5, 5, 4, 4, 4, 6, 6, 6, 6, 5, 5, 8, 11, 11, 13, 11, 11, 14, 16, 14, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 9, 8, 8, 7, 7, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 6, 6, 5, 4, 4, 4, 4, 4, 6, 8, 8, 8, 9, 9, 9, 8, 8, 8, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 3, 3, 3, 5, 6, 7, 8, 5, 5, 5, 9, 9, 8, 8, 10, 11, 10, 6, 6, 9, 10, 8, 8, 10, 10, 10, 12, 12, 12, 10, 11, 12, 12, 12, 10, 10, 11, 12, 12, 12, 10, 10, 12, 12, 11, 12, 10, 10, 4, 4, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 3, 3, 3, 5, 17, 18, 18, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 9, 9, 10, 11, 9, 8, 7, 9, 9, 9, 8, 10, 9, 10, 10, 10, 7, 2, 2, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 7, 7, 19, 20, 20, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 11, 11, 12, 15, 14, 15, 15, 15, 14, 15, 15, 15, 14, 14, 14, 11, 11, 12, 13, 11, 11, 10, 9, 11, 11, 11, 10, 12, 11, 12, 12, 12, 9, 5, 5, 8, 8, 7, 7, 8, 10, 10, 5, 5, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 9, 10, 10, 10, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 6, 6, 5, 5, 8, 10, 8, 3, 3, 3, 3, 3, 6, 6, 18, 19 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 10, 10, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 7, 7, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 0, 0, 4, 4, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 3, 3, 2, 2, 2, 0, 0, 0, 0, 0, 5, 5, 5, 5, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 7, 7, 1, 0, 1, 7, 7, 2, 2, 2, 0, 0, 0, 0, 9, 9, 1, 0, 1, 0, 1, 1, 1, 0, 1, 9, 9, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 1, 1, 1, 6, 6, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 1, 4, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 3, 3, 3, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 1, 5, 2, 2, 2, 1, 1, 0, 0, 7, 2, 1, 1, 6, 6, 1, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 4, 4, 4, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 0, 0, 7, 7, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 6, 6, 0, 0, 0, 0, 2, 1, 2, 6, 6, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 6, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 0, 0, 7, 7, 1, 0, 1, 6, 6, 6, 6, 6, 0, 0, 0, 2 ]
[ 505, 13411, 505, 280, 3941, 606, 11033, 203, 465, 2322, 203, 589, 622, 81, 4882, 26, 1163, 19704, 711, 284, 3312, 280, 1605, 284, 645, 24379, 32, 8171, 1006, 32, 6096, 32, 34114, 12120, 1188, 894, 81, 34114, 12120, 46321, 45, 3312, 1454, 894, 81, 34114, 12120, 46321, 32, 371, 81, 4882, 26, 1163, 47, 1163, 27, 284, 645, 24379, 32, 8171, 1006, 32, 6096, 32, 34114, 12120, 1188, 894, 81, 34114, 12120, 4815, 45, 261, 3312, 1454, 894, 81, 34114, 12120, 4815, 32, 371, 81, 4882, 26, 1163, 47, 1163, 27, 284, 645, 24379, 32, 8171, 1006, 32, 6096, 32, 34114, 12120, 1188, 894, 81, 2514, 1768, 36, 39, 40, 45, 1468, 3312, 1454, 894, 81, 2514, 1768, 36, 39, 40, 32, 371, 81, 4882, 26, 1163, 47, 1163, 27, 284, 442, 3312, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 1188, 15798, 284, 13264, 280, 9254, 44, 15798, 32, 25514, 26, 371, 81, 4882, 1157, 284, 15798, 32, 1831, 26, 1536, 1006, 1057, 9089, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 2, 1, 1, 4, 4, 2, 2, 3, 4, 5, 5, 4, 5, 4, 5, 5, 3, 3, 5, 5, 5, 5, 2, 2, 4, 4, 7, 7, 7, 7, 6, 7, 7, 7, 6, 8, 7, 8, 6, 2, 2, 3, 4, 5, 5, 4, 5, 4, 5, 5, 3, 3, 5, 5, 5, 5, 2, 2, 2, 4, 4, 7, 7, 7, 7, 6, 7, 7, 7, 6, 8, 7, 8, 6, 2, 2, 3, 4, 5, 5, 4, 5, 4, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 2, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 6, 8, 7, 8, 6, 2, 2, 3, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 2, 2, 4, 4, 5, 5, 7, 8, 7, 9, 9, 9, 9, 2, 2, 5, 6, 5, 7, 7, 6, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 4, 4, 1, 1, 2, 2, 1, 4, 1, 6, 6, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 4, 1, 2, 2, 1, 4, 1, 6, 6, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 7, 1, 2, 2, 1, 4, 1, 6, 6, 7, 7, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 10, 0, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 0, 3, 3, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 3, 3, 0, 2, 1, 0, 0, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 37920, 32, 2304, 1188, 7138, 81, 2304, 619, 7138, 203, 1070, 37920, 32, 1199, 1188, 3082, 203, 1070, 37920, 32, 104, 36, 1188, 2398, 12067, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 823, 18582, 26, 750, 12067, 711, 284, 665, 43407, 26, 784, 30, 46474, 711, 291, 5412, 953, 280, 46474, 710, 38022, 32, 3196, 953, 785, 291, 5412, 953, 32, 5740, 32, 2029, 26, 324, 1256, 505, 45087, 47, 2700, 30, 291, 6804, 1877, 26, 496, 47, 2521, 27, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 3097, 284, 4549, 280, 301, 291, 330, 38022, 32, 3560, 1363, 950, 301, 324, 330, 4232, 950, 5053, 5665, 81, 36202, 950, 11608, 463, 5883, 370, 330, 426, 1425, 5715, 330, 1473, 81, 426, 950, 330, 2791, 1564, 8885, 324, 330, 605, 950, 2726, 38022, 32, 1199, 32, 3378, 32, 4151, 32, 6680, 9974, 2665, 32, 42704, 9974, 7167, 1176, 370, 5518, 5053, 1693, 950, 330, 1815, 370, 330, 5006, 950, 330, 1815, 45306, 324, 330, 770, 81, 11043, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 36172, 370, 5518, 5053, 1536, 950, 330, 6665, 32, 6665, 32, 2174, 45306, 324, 330, 314, 950, 2726, 38022, 32, 1199, 32, 3378, 32, 4151, 32, 28959, 32, 44339, 7471, 4741, 1176, 370, 5518, 5053, 4457, 81, 678, 950, 330, 1815, 45306, 324, 330, 12262, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 39471, 370, 5518, 5053, 1536, 950, 330, 2700, 45306, 324, 330, 7910, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 46046, 1176, 370, 5518, 5053, 452, 950, 313, 494, 710, 38022, 32, 1240, 785, 392, 330, 7919, 46819, 1578, 950, 330, 2700, 45306, 324, 330, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 40, 38, 45306, 324, 330, 7297, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 46046, 1176, 370, 5518, 5053, 452, 950, 313, 494, 710, 38022, 32, 3196, 785, 392, 330, 7919, 46819, 1578, 950, 330, 2700, 45306, 324, 330, 5883, 950, 2726, 38022, 32, 1199, 32, 3378, 32, 4151, 32, 13615, 678, 32, 17264, 1478, 13343, 370, 5518, 5053, 452, 950, 313, 494, 710, 38022, 32, 8237, 785, 3612, 471, 324, 330, 681, 950, 2726, 38022, 32, 1199, 32, 3378, 32, 4151, 32, 28959, 32, 44339, 30400, 370, 5518, 5053, 1536, 950, 330, 39, 34, 18143, 291, 801, 291, 330, 38022, 32, 6891, 950, 301, 324, 330, 4232, 950, 5053, 1473, 81, 426, 950, 330, 3680, 8885, 324, 330, 605, 950, 2726, 38022, 32, 1199, 32, 3378, 32, 4151, 32, 6680, 9974, 2665, 32, 42704, 9974, 7167, 1176, 370, 5518, 5053, 1693, 950, 330, 1815, 45306, 324, 330, 6665, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 36172, 370, 5518, 5053, 1536, 950, 330, 6665, 32, 6665, 32, 2174, 45306, 324, 330, 1567, 950, 2726, 38022, 32, 1199, 32, 3378, 32, 4151, 32, 13615, 678, 32, 17264, 1478, 13343, 370, 5518, 5053, 452, 950, 313, 494, 710, 38022, 32, 1151, 785, 392 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 7, 9, 9, 9, 9, 9, 4, 4, 11, 10, 11, 9, 10, 9, 9, 9, 11, 11, 10, 11, 9, 9, 9, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 2, 2, 4, 4, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 9, 12, 12, 12, 12, 10, 12, 12, 12, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 9, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 12, 12, 10, 12, 12, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 3, 3, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 2, 1, 1, 2, 4, 4, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 2, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2 ]
[ 465, 15798, 203, 465, 3995, 203, 1070, 3844, 1188, 3991, 81, 4875, 203, 1070, 3312, 1188, 9332, 203, 823, 13908, 5206, 4470, 26, 18986, 32, 7233, 711, 284, 1769, 280, 225, 35, 34, 34, 284, 5923, 280, 1605, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 846, 280, 3995, 32, 3287, 26, 3585, 26, 784, 32, 1449, 471, 630, 32, 1449, 27, 284, 665, 894, 81, 1693, 81, 1131, 26, 784, 711, 291, 24904, 280, 1665, 291, 623, 630, 32, 23895, 26, 18082, 27, 619, 538, 44, 324, 3991, 81, 4875, 32, 3323, 26, 18833, 27, 291, 630, 32, 5299, 27449, 2521, 620, 25, 1300, 438, 646, 27182, 392, 596, 26, 327, 32, 3893, 490, 284, 665, 894, 81, 2951, 81, 1131, 26, 784, 711, 291, 24904, 280, 1605, 291, 736, 280, 3991, 81, 4875, 32, 3323, 26, 18833, 27, 291, 630, 32, 5299, 26, 1657, 26, 18833, 471, 2069, 26, 575, 490, 284, 665, 894, 81, 3323, 81, 83, 81, 15813, 81, 955, 26, 784, 711, 291, 736, 280, 3991, 81, 4875, 32, 3323, 26, 784, 32, 846, 2867, 1130, 291, 630, 32, 6549, 26, 4313, 32, 297, 81, 11939, 26, 575, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 5, 5, 5, 2, 2, 4, 4, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 10, 10, 12, 11, 12, 10, 8, 9, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 10, 11, 10, 11, 10, 8, 8, 5, 5, 5, 10, 10, 9, 10, 9, 10, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 11, 10, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 6, 6, 9, 9, 8, 9, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 8, 11, 10, 11, 9, 9, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 10, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 0, 4, 4, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 4, 4, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 4, 4, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 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 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 15390, 81, 30839, 203, 465, 1133, 203, 1070, 2678, 491, 107, 1188, 34031, 203, 1070, 2678, 491, 107, 1188, 22066, 203, 1070, 2678, 491, 107, 32, 30609, 1188, 10701, 203, 1070, 2678, 491, 107, 32, 30609, 1188, 19555, 203, 1070, 4377, 1188, 5296, 203, 1070, 4377, 1188, 28312, 2304, 203, 1070, 4377, 91, 35, 42, 96, 1188, 489, 81, 203, 1070, 638, 1188, 30213, 203, 1070, 638, 878, 1188, 48197, 1031, 3579, 203, 823, 2662, 3763, 26, 47935, 32, 67, 2136, 711, 284, 3826, 280, 19555, 26, 1473, 27, 284, 665, 1156, 1664, 3207, 784, 30, 1619, 30, 2935, 47, 2521, 30, 1688, 47, 2521, 711, 291, 22066, 32, 67, 2136, 3667, 1664, 3207, 784, 30, 2935, 27, 291, 630, 32, 2024, 81, 878, 280, 48197, 1031, 3579, 26, 1819, 30, 2935, 47, 784, 27, 291, 630, 32, 14313, 280, 2662, 6647, 13360, 265, 26, 784, 32, 2024, 81, 878, 32, 2812, 1157, 291, 415, 1688, 44, 324, 630, 32, 470, 81, 2024, 26, 2024, 27, 291, 630, 32, 1831, 81, 3086, 280, 28312, 2304, 32, 104, 1501, 26, 15312, 32, 1347, 81, 4536, 30, 30213, 32, 10316, 30, 630, 32, 2024, 81, 878, 27, 291, 630, 32, 20136, 26, 784, 32, 1831, 81, 3086, 27, 291, 630, 32, 3237, 32, 3517, 26, 784, 32, 1689, 30, 827, 47, 9071, 32, 30719, 2798, 27, 284, 665, 4233, 26, 784, 711, 291, 630, 32, 2024, 81, 878, 32, 3815, 346, 284, 665, 739, 81, 2024, 26, 784, 30, 1688, 711, 291, 630, 32, 2024, 81, 878, 32, 470, 81, 853, 26, 2024, 27, 284, 665, 1245, 81, 1517, 26, 784, 30, 2287, 30, 963, 30, 1137, 47, 2521, 711, 291, 3124, 280, 1605, 291, 415, 963, 44, 324, 3124, 32, 1689, 26, 541, 27, 291, 415, 1137, 44, 324, 3124, 32, 1689, 26, 530, 27, 291, 415, 2287, 44, 324, 3124, 32, 1689, 26, 64, 81, 463, 4775, 1340, 904, 101, 683, 904, 2287, 27, 291, 630, 32, 751, 9442, 96, 2473, 2524, 26, 2076, 490, 284, 665, 5489, 26, 784, 30, 3124, 711, 291, 415, 646, 3124, 44, 324, 442, 291, 3124, 280, 5296, 32, 5460, 26, 2076, 27, 291, 6213, 280, 630, 32, 2024, 81, 878, 32, 878, 7417, 346, 291, 6213, 32, 1500, 2731, 26, 7017, 32, 2102, 27, 291, 1344, 280, 630, 32, 2024, 81, 878, 291, 5202, 280, 5296, 32, 5460, 26, 1003, 32, 20834, 15339, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 44, 225, 41964, 16189, 436, 1628, 328, 3124, 32, 2998, 9442, 96, 7831, 324, 6213, 32, 3215, 1031, 26, 4254, 474, 1628, 474, 3228, 96, 683, 291, 6213, 32, 1500, 2731, 26, 7017, 32, 2102, 27, 291, 1344, 32, 6616, 7417, 26, 7017, 27, 284, 665, 1245, 26, 784, 30, 3124, 711, 291, 630, 32, 3237, 32, 7911, 26, 2076, 27, 203, 823, 2662, 6647, 13360, 265, 26, 37571, 32, 67, 6647, 13360, 265, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3693, 711, 291, 34031, 32, 67, 6647, 13360 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 8, 9, 9, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 9, 8, 8, 9, 10, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 12, 11, 12, 12, 12, 10, 11, 10, 4, 4, 5, 5, 5, 5, 9, 10, 10, 10, 9, 10, 9, 4, 4, 7, 8, 8, 8, 6, 6, 9, 8, 9, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 7, 7, 8, 10, 9, 10, 10, 7, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 9, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 9, 9, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 4, 4, 5, 5, 5, 5, 9, 10, 9, 10, 9, 4, 4, 5, 5, 5, 5, 9, 10, 9, 10, 9, 4, 4, 5, 5, 5, 5, 9, 10, 9, 12, 12, 12, 14, 14, 14, 14, 14, 10, 10, 9, 4, 4, 7, 8, 7, 12, 11, 10, 9, 10, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 5, 5, 5, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 9, 8, 4, 4, 7, 8, 8, 7, 9, 8, 9, 7, 4, 4, 6, 6, 7, 8, 8, 8, 4, 4, 6, 6, 8, 9, 8, 11, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 5, 5, 5, 7, 8, 7, 10, 9, 5, 5, 9, 10, 10, 9, 12, 11, 11, 10, 10, 13, 12, 4, 4, 7, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 7, 7, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 9, 9, 9, 9, 0, 10, 10, 0, 10, 10, 0, 0, 0, 11, 11, 1, 2, 0, 1, 2, 2, 2, 11, 11, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 4, 4, 3, 3, 3, 3, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 1, 5, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 0, 2, 2, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 4, 4, 0, 0, 4, 4, 1, 1, 1, 1, 0, 2, 1, 1, 1, 4, 4, 2, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 3, 3, 3, 3, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 2, 2, 1, 1, 1, 4, 4, 5, 2, 1, 2, 2, 2, 5, 5, 0, 1, 0, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 6, 6, 0, 2, 1, 0, 2, 6, 6, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 4, 4, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 6, 2, 1, 2, 2, 2, 6, 6, 0, 2, 0, 2, 1, 1, 1, 0, 12, 12, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 12, 12, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2 ]
[ 109, 284, 330, 426, 950, 330, 28735, 18600, 429, 16079, 432, 13077, 370, 284, 330, 1648, 950, 330, 35, 32, 35, 370, 284, 330, 2116, 950, 330, 2961, 527, 66, 19217, 370, 284, 330, 3153, 950, 330, 29844, 33, 3341, 16079, 101, 370, 284, 330, 2310, 950, 1524, 203, 28735, 18600, 429, 16079, 432, 13077, 32, 203, 2533, 379, 284, 3330, 392, 284, 330, 12787, 950, 330, 525, 555, 1499, 32, 520, 749, 98, 32, 508, 370, 284, 330, 27263, 950, 2107, 3524, 81, 5836, 370, 330, 3524, 81, 742, 315, 81, 31983, 267, 2188, 284, 330, 605, 950, 428, 291, 330, 94, 35, 34, 96, 81, 352, 81, 3524, 81, 681, 32, 2593, 370, 291, 330, 3524, 81, 5836, 81, 2387, 32, 2593, 370, 291, 330, 3524, 32, 3524, 32, 2387, 32, 4700, 370, 291, 330, 3524, 81, 9078, 81, 687, 81, 2387, 32, 2593, 370, 291, 330, 3524, 81, 9078, 81, 2387, 32, 2593, 370, 291, 330, 3524, 81, 5836, 81, 2387, 81, 5483, 32, 2593, 370, 291, 330, 94, 35, 34, 96, 81, 352, 81, 21880, 32, 2593, 25, 284, 2505, 284, 330, 6380, 950, 5518, 284, 330, 858, 950, 5518, 284, 330, 3789, 444, 950, 2933, 30, 284, 330, 2837, 81, 3789, 950, 3177, 30, 203, 111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 2, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 3, 2, 2, 5, 5, 3, 2, 2, 5, 5, 5, 3, 2, 2, 2, 5, 5, 5, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 3, 1, 1, 1, 2, 0, 0, 1, 2, 5, 1, 1, 1, 1, 2, 0, 0, 1, 2, 7, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 13, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 15, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 17, 0, 0, 1, 2, 19, 0, 0, 1, 1, 2, 21, 0, 0, 0, 1, 1, 1, 2, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 22207, 1356, 203, 465, 33664, 203, 465, 5237, 225, 203, 1070, 13013, 81, 12617, 32, 2076, 1188, 12038, 427, 203, 465, 6436, 619, 2065, 225, 203, 1070, 7394, 81, 12617, 32, 2076, 1188, 546, 86, 4616, 203, 1070, 5239, 32, 3792, 993, 1188, 484, 4832, 81, 1070, 81, 448, 13875, 203, 465, 12500, 32, 17449, 619, 5743, 225, 203, 1070, 11548, 81, 12617, 32, 2076, 1188, 6431, 5560, 36, 203, 465, 11548, 81, 12617, 32, 1493, 81, 3209, 36, 619, 11487, 36, 203, 465, 31074, 203, 823, 23536, 2262, 203, 202, 589, 1156, 1664, 3207, 784, 711, 357, 202, 784, 32, 3605, 280, 1605, 4512, 202, 290, 12813, 32, 1664, 81, 1251, 463, 10530, 370, 12800, 280, 3177, 27, 203, 202, 589, 337, 4722, 14901, 26, 784, 30, 2076, 711, 357, 202, 448, 13875, 280, 308, 2076, 32, 3605, 32, 3605, 32, 16536, 32, 106, 30, 2076, 32, 3605, 32, 3605, 32, 16536, 32, 107, 30, 2076, 32, 3605, 32, 3605, 32, 16536, 32, 108, 30, 2076, 32, 3605, 32, 3605, 32, 16536, 32, 105, 27, 357, 202, 39266, 280, 484, 4832, 81, 1070, 81, 448, 13875, 26, 448, 13875, 27, 357, 202, 784, 32, 3605, 280, 428, 2076, 32, 3605, 32, 3605, 32, 2705, 32, 106, 30, 2076, 32, 3605, 32, 3605, 32, 2705, 32, 107, 30, 39266, 77, 36, 3212, 357, 202, 1216, 630, 32, 3605, 77, 34, 614, 784, 32, 3605, 77, 35, 614, 784, 32, 3605, 77, 36, 79, 1659, 202, 589, 337, 4722, 1721, 26, 784, 711, 357, 202, 290, 12813, 32, 16678, 3247, 431, 418, 370, 24806, 4616, 30, 784, 32, 431, 418, 14901, 27, 203, 202, 589, 8668, 14901, 26, 784, 30, 605, 711, 357, 202, 3209, 280, 2065, 32, 26742, 26, 605, 27, 357, 202, 1216, 1659, 202, 589, 8668, 1721, 26, 784, 711, 357, 202, 290, 12813, 32, 16678, 3247, 8996, 33, 6299, 33, 3953, 370, 37776, 36, 30, 784, 32, 3209, 14901, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 203, 202, 1216, 313, 1664, 81, 1251, 20, 203, 202, 1270, 44, 357, 202, 10530, 280, 23536, 346, 357, 202, 5525, 646, 33664, 32, 297, 81, 16080, 2262, 355, 202, 10530, 32, 3209, 1721, 346, 34566, 202, 7343, 44, 357, 202, 290, 12813, 32, 751, 1338, 440, 1251, 25460, 7144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 0, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 4, 2, 2, 0, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 4, 4, 3, 4, 4, 4, 4, 2, 2, 3, 0, 1, 1, 0, 1, 1, 2, 1, 1, 3, 3, 4, 4, 5, 4, 3, 3, 8, 7, 8, 6, 6, 4, 4, 8, 8, 7, 8, 8, 8, 7, 9, 9, 9, 8, 8, 7, 2, 2, 3, 3, 4, 4, 4, 5, 4, 5, 4, 3, 3, 7, 7, 6, 6, 12, 11, 12, 10, 11, 9, 10, 8, 9, 7, 12, 11, 12, 10, 11, 9, 10, 8, 9, 7, 12, 11, 12, 10, 11, 9, 10, 8, 9, 7, 12, 11, 12, 10, 11, 9, 10, 8, 9, 7, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 4, 4, 8, 7, 8, 6, 6, 12, 11, 12, 10, 11, 9, 10, 8, 9, 7, 12, 11, 12, 10, 11, 9, 10, 8, 9, 7, 9, 8, 9, 8, 4, 4, 5, 5, 7, 8, 6, 7, 6, 8, 7, 8, 6, 7, 6, 8, 7, 8, 6, 7, 6, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 8, 8, 7, 8, 7, 9, 9, 9, 8, 8, 7, 9, 8, 9, 9, 9, 7, 2, 2, 3, 3, 4, 4, 5, 4, 5, 4, 3, 3, 7, 6, 6, 8, 9, 8, 9, 8, 4, 4, 6, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 8, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 8, 8, 7, 9, 8, 9, 9, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 3, 5, 5, 5, 5, 2, 2, 3, 3, 3, 3, 7, 6, 6, 8, 4, 4, 5, 5, 6, 8, 9, 9, 9, 8, 5, 5, 10, 9, 10, 10, 9, 3, 3, 4, 4, 4, 4, 9, 9, 8, 9, 9, 8, 10, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 4, 4, 1, 1, 0, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 0, 0, 6, 6, 1, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 2, 1, 1, 0, 0, 8, 8, 0, 0, 1, 2, 8, 8, 0, 0, 0, 9, 9, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 10, 10, 0, 11, 11, 2, 11, 11, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 3, 3, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 3, 2, 2, 0, 0, 2, 0, 2, 0, 2, 5, 2, 2, 0, 0, 2, 0, 2, 0, 2, 7, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 3, 2, 2, 0, 5, 2, 5, 4, 4, 3, 3, 0, 2, 1, 2, 1, 0, 0, 2, 3, 2, 3, 0, 0, 2, 5, 2, 5, 4, 4, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 3, 3, 1, 0, 5, 2, 2, 2, 1, 4, 4, 3, 3, 1, 2, 1, 2, 3, 2, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 4, 4, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 0, 5, 2, 2, 1, 0, 12, 12, 0, 0, 1, 1, 1, 1, 12, 12, 0, 0, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 2, 2, 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 ]
[ 465, 7138, 203, 465, 4395, 203, 465, 2322, 203, 465, 13092, 203, 465, 1133, 203, 465, 15798, 203, 1070, 8527, 32, 2304, 1188, 22158, 203, 1070, 18971, 1188, 24014, 203, 1070, 46624, 32, 4280, 1188, 319, 261, 203, 465, 30764, 265, 203, 1070, 3312, 32, 1439, 1188, 546, 6449, 7233, 30, 11298, 7233, 203, 1070, 2322, 88, 81, 4882, 32, 42053, 1188, 27540, 2214, 30, 2680, 2214, 30, 11152, 81, 1935, 203, 1070, 8361, 32, 2393, 32, 2304, 1188, 4450, 81, 1729, 94, 81, 15813, 81, 426, 203, 1070, 8361, 32, 15753, 1188, 13708, 30, 2361, 81, 9401, 203, 1070, 8361, 32, 2304, 1188, 14706, 81, 3607, 30, 42844, 81, 8438, 81, 30046, 203, 1070, 4125, 32, 1439, 32, 2304, 1188, 13408, 698, 1180, 81, 1237, 81, 965, 81, 979, 203, 1070, 2322, 88, 32, 2304, 32, 18651, 1188, 540, 4699, 203, 1070, 9575, 32, 10983, 1188, 2164, 81, 7004, 30, 546, 6449, 2595, 6462, 203, 1070, 9575, 1188, 4070, 203, 1070, 9575, 32, 1040, 1188, 7842, 203, 1070, 9575, 32, 1040, 1188, 2676, 81, 965, 81, 979, 30, 4125, 81, 965, 81, 979, 30, 438, 81, 1260, 81, 1357, 30, 18333, 15354, 30, 4125, 81, 104, 36, 81, 965, 203, 1070, 9575, 32, 2250, 1188, 8745, 619, 2074, 81, 2304, 203, 1070, 9575, 32, 3959, 1188, 8745, 619, 6274, 81, 2304, 203, 1270, 44, 284, 1188, 17281, 10065, 15525, 30924, 81, 25431, 280, 2933, 203, 7343, 29986, 44, 284, 15525, 30924, 81, 25431, 280, 3177, 203, 4386, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 21379, 4064, 761, 28154, 203, 823, 2108, 1043, 2755, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 38023, 81, 8438, 81, 30046, 81, 1347, 81, 5561, 26, 784, 711, 291, 438, 81, 30046, 280, 42844, 81, 8438, 81, 30046, 26, 5561, 47, 2521, 30, 42844, 47, 37, 34, 27, 291, 1201, 81, 1508, 26, 297, 81, 30046, 27, 284, 665, 894, 81, 38023, 81, 8438, 81, 30046, 81, 908, 81, 6665, 26, 784, 711, 291, 6341, 280, 22158, 32, 2174, 346, 291, 438, 81, 30046, 280, 42844, 81, 8438, 81, 30046, 26, 5561, 4310, 5561, 474, 7138, 32, 32888, 26, 6360, 47, 36, 43, 3662, 225, 42844, 47, 37, 34, 27, 291, 1201, 81, 1870, 26, 297, 81, 30046, 27, 291, 438, 81, 30046, 280, 42844, 81, 8438, 81, 30046, 26, 5561, 4310, 5561, 429, 7138, 32, 32888, 26, 6360, 47, 37, 35, 3662, 225, 42844, 47, 37, 34, 27, 291, 1201, 81, 1508, 26, 297, 81, 30046, 27, 284, 665, 894, 81, 38023, 81, 8438, 81, 30046, 81, 908, 81, 5561, 81, 266, 81, 6360, 26, 784, 711, 291, 6341, 280, 629, 26, 1003, 32, 1003, 1157, 291, 438, 81, 30046, 280, 42844, 81, 8438, 81, 30046, 26, 5561, 4310, 5561, 474, 225, 36, 43, 471, 42844, 47, 37, 34, 27, 291, 1201, 81, 1870, 26, 297, 81, 30046, 27, 291, 438, 81, 30046, 280, 42844, 81, 8438, 81, 30046, 26, 5561, 4310, 5561, 429, 225, 37, 35, 471, 42844, 47, 37, 34, 27, 291, 1201, 81, 1508, 26, 297, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 0, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 3, 2, 2, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 6, 6, 6, 5, 5, 0, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 10, 9, 10, 8, 8, 9, 10, 10, 8, 4, 4, 7, 7, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 10, 9, 12, 11, 11, 13, 14, 13, 15, 14, 15, 15, 13, 8, 8, 9, 10, 10, 8, 4, 4, 7, 7, 7, 8, 8, 8, 7, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 10, 9, 12, 11, 11, 13, 14, 13, 15, 14, 15, 15, 13, 8, 8, 9, 10, 10, 8, 4, 4, 7, 7, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 11, 10, 11, 10, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 10, 9, 12, 11, 11, 12, 12, 10, 8, 9, 10, 10, 8, 4, 4, 7, 7, 7, 8, 8, 8, 7, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 10, 9, 12, 11, 11, 12, 12, 10, 8, 9, 10, 10, 8, 4, 4, 7, 7, 7, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 7, 7, 0, 8, 8, 1, 2, 8, 8, 0, 0, 9, 9, 0, 0, 10, 10, 1, 2, 10, 10, 0, 0, 10, 10, 0, 0, 11, 11, 0, 0, 0, 1, 2, 11, 11, 0, 11, 11, 0, 11, 11, 0, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 13, 13, 1, 2, 13, 13, 13, 13, 0, 0, 0, 14, 14, 1, 2, 14, 14, 0, 0, 14, 14, 0, 0, 0, 0, 0, 15, 15, 1, 2, 1, 4, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 0, 1, 2, 1, 4, 16, 16, 0, 0, 17, 17, 1, 2, 17, 17, 0, 0, 17, 17, 0, 0, 0, 0, 18, 18, 18, 18, 0, 19, 19, 1, 2, 19, 19, 0, 20, 20, 1, 2, 20, 20, 0, 0, 0, 0, 20, 20, 0, 0, 0, 0, 20, 20, 0, 0, 0, 0, 20, 20, 0, 20, 20, 0, 0, 0, 0, 0, 0, 21, 21, 1, 2, 21, 21, 3, 3, 2, 2, 0, 22, 22, 1, 2, 22, 22, 3, 3, 2, 2, 0, 23, 23, 23, 23, 0, 2, 2, 0, 0, 0, 0, 0, 23, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 25, 25, 1, 1, 2, 0, 1, 2, 2, 25, 25, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 3, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 3, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 3, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 3, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 8527, 32, 858, 1188, 19205, 30, 2684, 81, 3550, 203, 50, 7106, 81, 3550, 26, 7789, 81, 2413, 14594, 1057, 1071, 81, 4882, 32, 9947, 81, 11400, 683, 203, 823, 3834, 17278, 26, 7233, 711, 284, 5668, 81, 1977, 280, 2430, 23, 55, 38, 23, 52, 42, 23, 1192, 23, 55, 40, 23, 43, 40, 23, 42, 41, 33, 1977, 5681, 284, 665, 894, 81, 20858, 299, 81, 7344, 26, 784, 711, 291, 1789, 280, 630, 32, 1580, 32, 371, 3247, 35994, 25844, 291, 630, 32, 862, 11445, 101, 26, 1986, 30, 630, 32, 7344, 81, 1977, 27, 284, 665, 894, 81, 3780, 14510, 81, 7344, 26, 784, 711, 291, 1524, 275, 1789, 280, 630, 32, 1580, 32, 371, 3247, 3780, 14510, 81, 7344, 25844, 291, 630, 32, 862, 11445, 101, 26, 1986, 30, 630, 32, 7344, 81, 1977, 27, 284, 665, 894, 81, 48125, 81, 3780, 14510, 81, 7344, 26, 784, 711, 291, 1524, 275, 1789, 280, 630, 32, 1580, 32, 371, 3247, 48125, 81, 3780, 14510, 81, 7344, 25844, 291, 630, 32, 862, 11445, 101, 26, 1986, 30, 630, 32, 7344, 81, 1977, 30, 2287, 81, 687, 47, 37, 34, 35, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 1, 2, 2, 3, 3, 4, 3, 2, 2, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 9, 11, 11, 11, 5, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 6, 6, 9, 9, 9, 9, 7, 8, 9, 9, 9, 9, 9, 9, 9, 3, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 4, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 1695, 40, 38, 203, 465, 36387, 203, 1070, 36387, 32, 3841, 1188, 9045, 1625, 2798, 203, 1070, 36387, 32, 735, 36, 32, 3419, 1338, 1188, 17868, 1120, 203, 1070, 36387, 32, 735, 36, 32, 33435, 2757, 32, 1357, 1188, 4448, 203, 1070, 36387, 32, 735, 36, 32, 33435, 2757, 32, 10574, 1163, 1188, 23489, 2324, 203, 1070, 36387, 32, 735, 36, 32, 33435, 2757, 32, 1363, 1188, 7984, 19181, 1564, 203, 1070, 36387, 32, 735, 36, 32, 33435, 2757, 32, 1363, 1188, 6833, 620, 203, 1070, 36387, 32, 735, 36, 32, 33435, 2757, 32, 6891, 1188, 13481, 203, 1070, 36387, 32, 735, 36, 32, 33435, 2757, 32, 6038, 1188, 25556, 469, 620, 203, 1070, 36387, 32, 735, 36, 32, 33435, 2757, 32, 6038, 1188, 20762, 2256, 2424, 203, 1070, 36387, 32, 735, 36, 32, 33435, 2757, 32, 6038, 1188, 44437, 4248, 203, 1070, 36387, 32, 735, 36, 32, 33435, 2757, 32, 6038, 1188, 29794, 367, 21436, 203, 1070, 36387, 32, 735, 36, 32, 33435, 2757, 32, 2386, 1188, 11617, 203, 1070, 36387, 32, 735, 36, 32, 33435, 2757, 32, 25383, 1188, 42497, 2333, 1564, 1711, 203, 1070, 36387, 32, 735, 36, 32, 33435, 2757, 32, 2142, 1188, 9130, 203, 6062, 750, 280, 301, 284, 330, 352, 31, 14623, 31, 35, 950, 330, 4846, 27034, 32, 352, 31, 14623, 31, 35, 32, 13808, 32, 508, 370, 284, 330, 352, 31, 12581, 31, 35, 950, 330, 4846, 27034, 32, 352, 31, 12581, 31, 35, 32, 13808, 32, 508, 370, 284, 330, 352, 31, 12581, 31, 36, 950, 330, 4846, 27034, 32, 352, 31, 12581, 31, 36, 32, 13808, 32, 508, 370, 284, 330, 2496, 31, 14623, 31, 35, 950, 330, 4846, 27034, 32, 2496, 31, 14623, 31, 35, 32, 13808, 32, 508, 370, 284, 330, 11085, 31, 12581, 31, 35, 950, 330, 4846, 27034, 32, 11085, 31, 12581, 31, 35, 32, 13808, 32, 508, 370, 284, 330, 368, 31, 48187, 31, 35, 950, 330, 4846, 27034, 32, 368, 31, 48187, 31, 35, 32, 13808, 32, 508, 370, 284, 330, 368, 31, 38527, 27548, 31, 35, 950, 330, 4846, 27034, 32, 368, 31, 38527, 27548, 31, 35, 32, 13808, 32, 508, 370, 284, 330, 368, 31, 38527, 27548, 31, 36, 950, 330, 4846, 27034, 32, 368, 31, 38527, 27548, 31, 36, 32, 13808, 32, 508, 370, 203, 111, 203, 589, 17810, 2262, 284, 17810, 280, 1605, 284, 436, 6699, 81, 426, 328, 17868, 750, 44, 291, 6699, 280, 17868, 1120, 26, 426, 47, 3419, 81, 426, 30, 1014, 6998, 47, 6062, 750, 77, 3419, 81, 426, 614, 1014, 3387, 81, 6933, 47, 32579, 2798, 27, 291, 17810, 32, 1689, 26, 3419, 27, 284, 442, 17810, 203, 589, 5008, 81, 452, 81, 3419, 26, 3419, 81, 426, 30, 1115, 4124, 81, 2132, 711, 284, 436, 6699, 328, 17810, 2262, 291, 415, 6699, 32, 426, 610, 6699, 81, 426, 44, 324, 442, 6699, 32, 3517, 14605, 4124, 81, 2132, 27, 284, 442, 1665, 203, 823, 7984, 5234, 2798, 26, 10645, 1625, 2798, 711, 284, 2330, 2062, 280, 36387, 32, 1163, 32, 371, 463, 52, 2618, 370 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 2, 3, 1, 1, 0, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 0, 1, 1, 2, 1, 1, 4, 4, 2, 2, 3, 4, 4, 3, 3, 4, 3, 3, 3, 6, 6, 8, 8, 10, 9, 10, 10, 10, 8, 8, 8, 9, 11, 11, 10, 11, 11, 11, 10, 8, 8, 10, 10, 9, 10, 10, 8, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 4, 4, 4, 2, 1, 1, 3, 3, 3, 5, 3, 3, 5, 7, 8, 6, 6, 7, 7, 5, 5, 5, 7, 9, 10, 9, 11, 11, 11, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 4, 4, 7, 8, 6, 7, 6, 8, 8, 8 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 2, 1, 4, 4, 3, 3, 0, 0, 4, 4, 1, 2, 2, 1, 4, 4, 1, 6, 4, 4, 0, 5, 5, 1, 2, 2, 1, 4, 4, 1, 6, 6, 5, 5, 0, 0, 6, 6, 1, 2, 2, 1, 4, 4, 1, 6, 6, 6, 0, 0, 0, 7, 7, 1, 2, 2, 1, 4, 4, 1, 6, 7, 7, 0, 0, 8, 8, 1, 2, 2, 1, 4, 4, 1, 6, 8, 8, 0, 9, 9, 1, 2, 2, 1, 4, 4, 1, 6, 9, 9, 0, 0, 0, 10, 10, 1, 2, 2, 1, 4, 4, 1, 6, 10, 10, 0, 0, 0, 11, 11, 1, 2, 2, 1, 4, 4, 1, 6, 11, 11, 0, 0, 12, 12, 1, 2, 2, 1, 4, 4, 1, 6, 12, 12, 0, 0, 0, 13, 13, 1, 2, 2, 1, 4, 4, 1, 6, 13, 13, 0, 14, 14, 1, 2, 2, 1, 4, 4, 1, 6, 14, 14, 0, 0, 0, 0, 15, 15, 1, 2, 2, 1, 4, 4, 1, 6, 15, 15, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 17, 17, 2, 17, 17, 0, 0, 4, 4, 1, 1, 1, 1, 1, 3, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 5, 2, 2, 1, 5, 5, 0, 2, 1, 1, 1, 4, 4, 2, 0, 18, 18, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 18, 18, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 19, 19, 1, 1, 2, 1, 1, 1, 2, 19, 19, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 20654, 203, 1070, 3619, 89, 730, 32, 1843, 1188, 319, 203, 1070, 6867, 81, 2816, 81, 1439, 1188, 18443, 2101, 1761, 203, 1070, 11385, 36492, 32, 1262, 1188, 358, 203, 1070, 11385, 36492, 32, 1262, 32, 29143, 1188, 35198, 203, 823, 18443, 12105, 26, 11689, 2101, 1761, 711, 284, 1418, 81, 7106, 280, 330, 11411, 1744, 25, 284, 665, 617, 267, 81, 12979, 81, 11217, 26, 784, 711, 291, 630, 32, 102, 81, 7568, 280, 630, 32, 35158, 77, 34, 79, 291, 630, 32, 102, 81, 470, 280, 1149, 26, 784, 32, 102, 81, 7568, 32, 2173, 682, 1157, 291, 630, 32, 11206, 280, 3813, 69, 32, 25237, 30, 429, 69, 32, 25237, 30, 225, 34, 614, 5556, 428, 69, 32, 25237, 30, 429, 69, 32, 25237, 30, 225, 34, 614, 5556, 428, 69, 32, 25237, 30, 429, 69, 32, 25237, 30, 225, 34, 3212, 291, 13396, 280, 630, 1114, 371, 81, 44077, 346, 291, 630, 1114, 15212, 1741, 81, 11217, 81, 966, 280, 225, 34, 32, 34, 291, 630, 1114, 15212, 1741, 81, 11217, 81, 1657, 280, 1897, 26, 784, 32, 102, 81, 7568, 32, 104, 81, 1657, 27, 291, 630, 32, 11217, 280, 1149, 346, 291, 323, 280, 630, 32, 11206, 291, 436, 273, 328, 630, 32, 102, 81, 470, 44, 324, 1596, 44, 400, 617, 87, 280, 13396, 26, 102, 27, 262, 324, 2940, 308, 558, 924, 30, 19546, 30056, 924, 711, 400, 617, 87, 280, 1665, 324, 415, 617, 87, 438, 646, 1665, 44, 958, 400, 436, 6013, 328, 2155, 26, 37, 711, 528, 323, 77, 5082, 1674, 34, 79, 280, 1847, 2009, 84, 77, 5082, 1674, 34, 614, 617, 87, 77, 5082, 13138, 528, 323, 77, 5082, 1674, 35, 79, 280, 1769, 2009, 84, 77, 5082, 1674, 35, 614, 617, 87, 77, 5082, 13138, 324, 630, 32, 11217, 32, 1689, 2176, 87, 27, 324, 630, 1114, 15212, 1741, 81, 11217, 81, 966, 1454, 225, 35, 32, 34, 291, 436, 6013, 328, 2155, 26, 37, 711, 324, 323, 77, 5082, 1674, 36, 79, 280, 323, 77, 5082, 1674, 35, 79, 429, 323, 77, 5082, 1674, 34, 79, 324, 415, 323, 77, 5082, 1674, 36, 79, 610, 225, 34, 32, 34, 44, 400, 323, 77, 5082, 1674, 36, 79, 280, 225, 35, 32, 34, 291, 630, 32, 2018, 81, 11411, 1744, 26, 784, 32, 3887, 81, 11217, 26, 2700, 490, 284, 665, 617, 267, 81, 12979, 81, 85, 11217, 26, 784, 711, 291, 415, 646, 630, 32, 11217, 556, 646, 630, 32, 1489, 44, 324, 442, 291, 665, 739, 81, 1007, 81, 1657, 26, 96, 711, 324, 630, 1114, 15212, 1741, 81, 85, 11217, 81, 1657, 280, 1897, 26, 96, 27, 291, 665, 6971, 81, 1007, 81, 966, 2262, 324, 630, 1114, 15212, 1741, 81, 85, 11217, 81, 966, 1454, 225, 35, 32, 34, 291, 739, 81, 1007, 81, 1657, 26, 35, 27, 291, 630, 1114, 15212, 1741, 81, 85, 11217, 81, 966, 280, 225, 34, 291, 630, 32, 85, 11217, 280, 630, 32, 1489, 32, 4699, 81, 452, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 12, 11, 12, 12, 12, 10, 11, 11, 10, 4, 4, 7, 8, 6, 6, 10, 9, 10, 8, 8, 11, 10, 11, 8, 8, 9, 8, 7, 7, 10, 9, 10, 8, 8, 11, 10, 11, 8, 8, 9, 8, 7, 7, 10, 9, 10, 8, 8, 11, 10, 11, 8, 8, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 8, 11, 10, 11, 11, 11, 9, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 8, 4, 4, 6, 6, 7, 8, 4, 4, 5, 5, 5, 6, 7, 7, 7, 5, 5, 5, 7, 7, 7, 11, 10, 10, 12, 13, 12, 7, 7, 7, 8, 10, 10, 9, 9, 10, 10, 9, 8, 8, 12, 11, 11, 6, 6, 7, 9, 8, 8, 8, 7, 7, 7, 7, 9, 9, 9, 11, 12, 11, 9, 9, 14, 15, 14, 14, 13, 12, 12, 14, 18, 17, 18, 17, 17, 16, 15, 17, 16, 17, 16, 10, 10, 14, 15, 14, 14, 13, 12, 12, 14, 18, 17, 18, 17, 17, 16, 15, 17, 16, 17, 16, 6, 6, 10, 11, 9, 10, 9, 10, 9, 6, 6, 9, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 4, 4, 5, 5, 5, 7, 8, 7, 5, 5, 10, 11, 10, 10, 9, 8, 8, 11, 12, 11, 11, 10, 9, 9, 11, 12, 11, 11, 10, 6, 6, 7, 10, 11, 10, 10, 9, 8, 8, 9, 9, 9, 7, 7, 7, 12, 13, 12, 12, 11, 10, 10, 11, 11, 11, 4, 4, 7, 8, 8, 8, 8, 7, 10, 9, 10, 10, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 9, 6, 6, 7, 8, 9, 5, 5, 5, 4, 4, 5, 6, 6, 6, 6, 6, 7, 6, 5, 5, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 11, 10, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 4, 4, 7, 7, 7, 7, 7, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 5, 5, 1, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 5, 1, 2, 2, 0, 1, 2, 3, 3, 0, 1, 2, 3, 3, 5, 3, 2, 2, 0, 1, 2, 5, 5, 0, 1, 2, 5, 5, 5, 5, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 1, 4, 4, 0, 0, 2, 2, 4, 4, 8, 8, 8, 3, 2, 2, 2, 8, 8, 8, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 3, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 0, 5, 5, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 3, 2, 3, 5, 5, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 3, 2, 3, 5, 5, 0, 2, 0, 2, 1, 1, 1, 5, 5, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 9, 9, 9, 1, 1, 1, 9, 9, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 5, 5, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2 ]
[ 465, 25630, 203, 1070, 7050, 817, 4692, 32, 12035, 1188, 4581, 20837, 1714, 203, 823, 8258, 1339, 44, 284, 665, 5420, 81, 12035, 26, 784, 711, 291, 442, 428, 22589, 32, 36178, 30, 22589, 32, 20837, 1714, 30, 1996, 20837, 1714, 79, 284, 665, 5420, 81, 2516, 26, 784, 711, 291, 442, 428, 410, 30, 1808, 79, 284, 665, 739, 81, 1286, 26, 784, 30, 3854, 30, 1286, 711, 291, 6852, 32, 470, 81, 853, 26, 1286, 27, 284, 665, 622, 81, 1286, 26, 784, 30, 3854, 711, 291, 442, 6852, 32, 371, 81, 853, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 7, 8, 6, 8, 7, 8, 8, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 6, 7, 6, 2, 2, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 3, 2, 2, 1, 5, 5, 5, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 3, 1, 3, 3, 2, 1, 1, 2, 1, 2, 3, 2, 5, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 3, 3, 3, 1, 1, 2, 1, 2, 3, 2, 3, 3, 0, 0, 2, 2, 2, 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 ]
[ 465, 5237, 203, 465, 2322, 203, 1070, 48885, 38, 1188, 10701, 2852, 30, 34031, 30, 1044, 295, 203, 1070, 48885, 38, 32, 30609, 1188, 1910, 2205, 30, 3619, 12561, 10760, 30, 1910, 12555, 203, 1070, 1778, 48496, 1188, 225, 4361, 22662, 203, 1070, 4070, 1188, 2764, 295, 2633, 873, 2963, 203, 1070, 767, 295, 8929, 1188, 11985, 750, 2275, 203, 1070, 6369, 893, 3854, 1188, 23781, 1658, 3763, 203, 1070, 767, 295, 104, 13246, 3724, 265, 1188, 2764, 295, 72, 482, 22190, 265, 203, 465, 8745, 203, 823, 12253, 5374, 1669, 26, 37571, 32, 67, 3728, 711, 203, 202, 7236, 81, 314, 280, 225, 34, 203, 202, 589, 1156, 1664, 3207, 784, 30, 2935, 30, 8001, 30, 767, 295, 81, 8929, 711, 357, 202, 5266, 26, 3665, 5374, 1669, 30, 630, 14585, 1664, 3207, 2544, 27, 357, 202, 103, 295, 32, 944, 10816, 26, 1233, 295, 2633, 873, 2963, 32, 371, 2284, 974, 463, 2872, 8319, 3518, 32, 1707, 25, 2588, 630, 27, 357, 202, 784, 32, 3825, 11428, 3763, 280, 23781, 1658, 3763, 26, 630, 32, 3825, 11428, 2879, 30, 23781, 1658, 3763, 32, 12962, 11428, 2101, 829, 357, 202, 3365, 3086, 280, 34031, 32, 67, 48587, 26, 630, 32, 3825, 11428, 2879, 829, 357, 202, 3365, 3086, 32, 21857, 26, 630, 32, 3825, 11428, 3763, 829, 357, 202, 3365, 3086, 32, 470, 8041, 37187, 26, 34, 30, 34, 30, 34, 30, 34, 27, 357, 202, 784, 32, 8929, 11428, 3763, 280, 23781, 1658, 3763, 26, 630, 32, 8929, 11428, 2879, 30, 23781, 1658, 3763, 32, 13805, 2101, 829, 357, 202, 3365, 3086, 280, 34031, 32, 67, 48587, 26, 630, 32, 8929, 11428, 2879, 829, 357, 202, 3365, 3086, 32, 21857, 26, 630, 32, 8929, 11428, 3763, 829, 357, 202, 3365, 3086, 32, 470, 8041, 37187, 26, 34, 30, 34, 30, 34, 30, 34, 27, 357, 202, 2304, 32, 8920, 3763, 25080, 26, 630, 32, 4148, 720, 829, 27635, 202, 2304, 32, 8920, 3763, 25080, 26, 630, 32, 519, 3234, 30, 225, 35, 829, 357, 202, 784, 32, 18476, 4629, 26, 784, 32, 3518, 4629, 346, 523, 5369, 225, 10701, 2852, 32, 9071, 32, 1669, 1598, 2672, 11198, 523, 5369, 225, 10701, 2852, 32, 9071, 32, 1669, 2708, 12178, 1714, 11198, 27, 27635, 202, 784, 32, 8933, 280, 8001, 357, 202, 784, 32, 508, 295, 81, 8929, 280, 767, 295, 81, 8929, 357, 202, 784, 32, 4148, 720, 32, 47928, 3650, 32, 3517, 26, 784, 32, 47928, 3650, 27, 22019, 202, 784, 32, 4148, 720, 32, 3376, 4075, 14804, 32, 3517, 26, 784, 32, 3376, 4075, 14804, 27, 357, 202, 784, 32, 1877, 750, 346, 34566, 202, 589, 1974, 750, 26, 630, 711, 357, 202, 784, 32, 470, 11428, 1658, 346, 357, 202, 784, 32, 22962, 1599, 346, 357, 202, 784, 32, 4148, 720, 32, 8510, 7627, 705, 8041, 346, 22019, 202, 784, 32, 4148, 720, 32, 1613, 2352, 26, 225, 34, 829, 357, 202, 983, 280, 630, 32, 508, 295, 81, 8929, 32, 983, 357, 202, 784, 32, 18476, 3173, 26, 1044, 20, 1908, 3809, 2530, 44, 301, 34, 16054 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 4, 4, 5, 2, 2, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 9, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 8, 8, 7, 8, 8, 7, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 9, 7, 7, 4, 4, 8, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 9, 10, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 8, 9, 10, 10, 10, 8, 4, 4, 8, 8, 7, 8, 7, 7, 8, 9, 9, 9, 7, 4, 4, 8, 8, 7, 8, 8, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 4, 4, 8, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 9, 10, 10, 10, 8, 8, 10, 10, 9, 10, 10, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 8, 9, 10, 10, 10, 8, 4, 4, 8, 8, 7, 8, 7, 7, 8, 9, 9, 9, 7, 4, 4, 8, 8, 7, 8, 8, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 4, 4, 8, 7, 8, 8, 8, 7, 7, 8, 9, 9, 7, 4, 4, 8, 7, 8, 8, 8, 7, 7, 8, 9, 9, 7, 7, 8, 7, 4, 4, 8, 7, 8, 8, 7, 12, 11, 12, 12, 11, 9, 9, 9, 9, 12, 11, 12, 10, 11, 11, 11, 11, 8, 8, 8, 8, 11, 10, 11, 9, 10, 10, 10, 10, 10, 7, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 10, 9, 10, 10, 8, 9, 9, 7, 8, 7, 9, 8, 9, 9, 7, 4, 4, 10, 9, 10, 10, 8, 9, 9, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 8, 7, 8, 8, 7, 2, 2, 3, 3, 4, 4, 4, 4, 3, 3, 8, 7, 8, 8, 8, 7, 4, 4, 8, 7, 8, 8, 7, 4, 4, 9, 8, 9, 9, 7, 8, 8, 8, 8, 7, 4, 4, 9, 8, 9, 9, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 6, 6, 8, 9, 9, 9, 9, 7, 8, 4, 4, 8, 7, 8, 8, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 9, 9, 0, 10, 10, 1, 1, 2, 0, 1, 2, 2, 2, 10, 10, 0, 0, 0, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 7, 7, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 1, 5, 1, 7, 1, 4, 4, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 1, 5, 1, 7, 1, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 3, 1, 4, 4, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 1, 4, 4, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 2361, 203, 1070, 1695, 40, 38, 1188, 323, 40, 38, 4434, 203, 465, 309, 1226, 864, 704, 203, 1070, 309, 1226, 864, 704, 1188, 4082, 203, 1070, 309, 1226, 864, 704, 32, 13606, 32, 9947, 1188, 12671, 1486, 203, 1070, 5034, 32, 9698, 32, 11452, 1188, 4448, 984, 203, 823, 10732, 9337, 2554, 26, 4007, 1486, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3408, 47, 2521, 30, 952, 47, 2521, 30, 3882, 47, 2521, 711, 291, 2599, 26, 3735, 9337, 2554, 30, 630, 14585, 1664, 25300, 3735, 9337, 370, 3408, 30, 952, 30, 3882, 27, 291, 630, 32, 965, 280, 630, 32, 2035, 474, 330, 1260, 25, 284, 665, 617, 371, 81, 2393, 26, 784, 711, 291, 2364, 81, 605, 280, 2361, 32, 16958, 14178, 1959, 950, 330, 2393, 32, 3615, 370, 1378, 330, 2132, 950, 428, 784, 32, 2895, 614, 1378, 330, 314, 950, 225, 35, 1748, 291, 1596, 44, 324, 630, 32, 2393, 280, 630, 32, 2848, 32, 1526, 26, 400, 630, 32, 965, 30, 400, 706, 47, 1526, 81, 605, 32, 4434, 463, 3310, 31, 42, 1425, 400, 6144, 47, 101, 1226, 864, 704, 32, 37954, 10519, 81, 23294, 81, 21729, 324, 6804, 1260, 31510, 1267, 785, 324, 2364, 81, 605, 280, 2361, 32, 16958, 14178, 1959, 950, 330, 1840, 32, 10089, 370, 1891, 330, 2132, 950, 5518, 1891, 330, 314, 950, 225, 35, 34, 1748, 324, 9475, 280, 630, 32, 2848, 32, 1526, 26, 400, 630, 32, 965, 30, 400, 706, 47, 1526, 81, 605, 32, 4434, 463, 3310, 31, 42, 1425, 400, 6144, 47, 101, 1226, 864, 704, 32, 37954, 10519, 81, 23294, 81, 21729, 324, 6804, 1260, 31510, 1267, 785, 324, 415, 646, 9475, 44, 400, 2364, 81, 605, 280, 2361, 32, 16958, 14178, 1959, 950, 330, 1840, 32, 371, 81, 15934, 370, 2476, 330, 2132, 950, 5518, 2476, 330, 314, 950, 225, 35, 35, 1748, 400, 17758, 280, 630, 32, 2848, 32, 1526, 26, 528, 630, 32, 965, 30, 528, 706, 47, 1526, 81, 605, 32, 4434, 463, 3310, 31, 42, 1425, 528, 6144, 47, 101, 1226, 864, 704, 32, 37954, 10519, 81, 23294, 81, 21729, 400, 6804, 1260, 31510, 1267, 785, 400, 415, 2069, 26, 15934, 27, 610, 225, 34, 44, 528, 4082, 32, 751, 26, 784, 32, 426, 474, 1044, 950, 3704, 2284, 1957, 646, 4799, 5282, 405, 2612, 370, 7686, 4082, 32, 2930, 27, 528, 442, 1665, 400, 2364, 81, 605, 280, 2361, 32, 16958, 14178, 1959, 950, 330, 1840, 32, 3517, 370, 2476, 330, 2132, 950, 428, 15934, 77, 34, 1674, 34, 6137, 2476, 330, 314, 950, 225, 35, 35, 1748, 400, 630, 32, 2848, 32, 1526, 26, 784, 32, 965, 30, 706, 47, 1526, 81, 605, 32, 4434, 463, 3310, 31, 42, 1425, 6619, 6144, 47, 101, 1226, 864, 704, 32, 37954, 10519, 81, 23294, 81, 21729, 27, 400, 2364, 81, 605, 280, 2361, 32, 16958, 14178, 1959, 950, 330, 1840, 32, 10089, 370, 2476, 330, 2132, 950, 5518, 2476, 330, 314, 950, 225, 35, 34, 1748, 400, 9475, 280, 630, 32, 2848, 32, 1526, 26, 528, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 9, 9, 9, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 8, 9, 7, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 12, 12, 10, 12, 12, 12, 12, 9, 9, 12, 12, 10, 13, 12, 13, 11, 9, 9, 12, 12, 10, 11, 9, 4, 4, 5, 5, 5, 9, 10, 8, 8, 14, 15, 13, 14, 13, 13, 13, 14, 15, 13, 13, 13, 14, 17, 17, 17, 16, 17, 16, 18, 18, 18, 18, 13, 13, 14, 16, 16, 16, 16, 15, 16, 16, 16, 16, 16, 16, 13, 13, 12, 11, 11, 11, 6, 6, 9, 9, 8, 8, 10, 11, 10, 14, 14, 12, 14, 14, 14, 14, 11, 11, 14, 14, 12, 11, 11, 14, 14, 12, 13, 13, 11, 6, 6, 8, 8, 14, 15, 13, 14, 13, 13, 13, 14, 15, 13, 13, 13, 14, 17, 17, 17, 16, 17, 16, 18, 18, 18, 18, 13, 13, 14, 16, 16, 16, 16, 15, 16, 16, 16, 16, 16, 16, 13, 13, 12, 11, 11, 11, 6, 6, 7, 8, 7, 7, 7, 11, 11, 10, 10, 12, 13, 12, 16, 16, 14, 16, 16, 16, 16, 16, 16, 13, 13, 16, 16, 14, 13, 13, 16, 16, 14, 15, 15, 13, 8, 8, 10, 10, 16, 17, 15, 16, 15, 15, 15, 16, 17, 15, 15, 15, 16, 19, 19, 19, 18, 19, 18, 20, 20, 20, 20, 15, 15, 16, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 15, 15, 14, 13, 13, 13, 8, 8, 9, 12, 13, 12, 10, 10, 11, 9, 9, 9, 13, 14, 13, 16, 15, 16, 14, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 13, 13, 14, 15, 13, 10, 10, 11, 8, 8, 11, 11, 10, 10, 12, 13, 12, 16, 16, 14, 16, 16, 16, 16, 13, 13, 16, 16, 14, 18, 17, 18, 17, 17, 16, 13, 13, 16, 16, 14, 15, 15, 13, 8, 8, 12, 13, 11, 12, 11, 13, 12, 13, 11, 11, 12, 15, 15, 15, 14, 15, 14, 16, 16, 16, 16, 11, 11, 12, 14, 14, 14, 14, 13, 14, 14, 14, 14, 14, 14, 11, 8, 8, 11, 11, 10, 10, 12, 13, 12, 16, 16, 14, 16, 16, 16, 16, 13, 13, 16, 16, 14, 13, 13, 16, 16, 14, 15, 15, 13, 8, 8, 10, 10, 16, 17, 15, 16, 15, 15, 15 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 1, 1, 2, 1, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 0, 1, 2, 2, 1, 1, 1, 2, 5, 2, 1, 4, 4, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 5, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 5, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 5, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 5, 2, 2, 1, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 5, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 3, 3, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 3, 3, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 5, 2, 2, 1, 3, 3, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 5, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 5, 2, 2, 1, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 5241, 81, 9302, 280, 330, 75, 8116, 96, 10148, 92, 6625, 25, 2071, 588, 225, 36, 34, 35, 40, 280, 330, 58, 44, 91, 25, 6022, 588, 225, 36, 34, 44, 38, 39, 203, 9863, 527, 13238, 280, 330, 75, 8116, 96, 10148, 92, 6625, 677, 44, 91, 25, 351, 588, 225, 36, 34, 35, 40, 8116, 43, 10148, 39, 6625, 225, 36, 34, 44, 38, 39, 203, 96, 10148, 25, 2407, 588, 225, 36, 34, 35, 40, 8116, 43, 10148, 203, 22846, 81, 14318, 81, 9302, 280, 351, 588, 225, 43, 10148, 39, 6625, 203, 15456, 81, 5241, 81, 9302, 280, 330, 75, 8116, 96, 10148, 92, 6625, 25, 261, 36, 34, 35, 40, 8116, 43, 10148, 39, 6625, 203, 15456, 81, 31141, 81, 9302, 280, 330, 75, 8116, 96, 10148, 92, 6625, 677, 44, 34, 44, 38, 39, 203, 16838, 81, 14318, 81, 2109, 81, 39636, 280, 225, 35, 6019, 617, 10840, 81, 9302, 69, 5852, 793, 322, 4865, 596, 203, 21, 84, 23, 86, 370, 262, 588, 330, 36, 34, 35, 40, 31, 34, 43, 31, 34, 39, 25, 284, 6611, 75, 8116, 23, 96, 10148, 23, 92, 6625, 370, 225, 588, 225, 203, 4804, 81, 10840, 81, 9302, 69, 280, 30, 351, 588, 330, 36, 34, 44, 38, 39, 25, 284, 6611, 44, 38, 39, 44, 36, 43, 25, 284, 6611, 58, 6069, 63, 6069, 69, 15231, 88, 370, 225, 588, 330, 36, 34, 44, 38, 39, 44, 36, 43, 32, 34, 34, 34, 36, 34, 34, 25, 9064, 81, 10840, 81, 9302, 69, 280, 10027, 86, 904, 58, 6069, 63, 370, 2264, 330, 284, 6611, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 370, 2264, 588, 330, 36, 34, 35, 40, 31, 34, 43, 31, 34, 39, 225, 36, 34, 44, 38, 39, 25, 284, 6611, 75, 8116, 225, 588, 330, 36, 34, 35, 40, 8116, 43, 10148, 39, 6625, 225, 35, 38, 44, 38, 39, 25, 284, 6611, 75, 9708, 95, 33, 588, 330, 36, 34, 35, 40, 33, 34, 43, 33, 34, 39, 225, 36, 34, 44, 38, 39, 44, 36, 43, 25, 284, 6611, 75, 9299, 95, 9299, 35, 40, 31, 34, 43, 31, 34, 39, 225, 36, 34, 44, 38, 39, 44, 36, 43, 25, 284, 6611, 75, 8116, 23, 96, 10148, 23, 92, 6625, 8116, 43, 10148, 39, 6625, 225, 36, 34, 44, 38, 39, 44, 36, 43, 25, 284, 6611, 75, 9708, 95, 9708, 86, 904, 58, 44, 34, 43, 33, 34, 39, 225, 36, 34, 44, 38, 39, 44, 36, 43, 32, 34, 34, 34, 36, 34, 34, 25, 284, 6611, 75, 9299, 95, 9299, 86, 429, 34, 39, 225, 36, 34, 44, 38, 39, 44, 36, 43, 32, 34, 34, 34, 36, 34, 34, 25, 284, 6611, 75, 8116, 23, 96, 10148, 23, 225, 36, 34, 44, 38, 39, 44, 36, 43, 32, 34, 34, 34, 36, 34, 34, 25, 203, 27, 203, 37607, 81, 807, 9607, 280, 4247, 203, 10463, 81, 9779, 1392, 280, 225, 38, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 6, 6, 6, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 7, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 0, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 2, 5, 5, 5, 5, 5, 5, 3, 3, 0, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 0, 0, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 5237, 203, 1070, 42408, 32, 1262, 32, 1643, 5725, 1188, 617, 4770, 81, 371, 81, 14548, 81, 1959, 203, 1070, 42408, 32, 1163, 32, 43220, 1188, 23942, 444, 203, 1070, 42408, 32, 2304, 1188, 3363, 203, 1070, 42408, 32, 2304, 32, 978, 37, 8524, 1188, 21513, 81, 1803, 203, 1070, 42408, 32, 2304, 32, 12484, 14762, 1188, 11617, 203, 1070, 42408, 32, 2304, 32, 8447, 1188, 17161, 203, 823, 8525, 9824, 26, 39748, 711, 284, 9073, 280, 11617, 463, 2027, 2375, 32, 1262, 32, 42137, 4119, 3101, 32, 26063, 7162, 16680, 683, 284, 665, 1156, 1664, 3207, 784, 30, 9073, 47, 2521, 30, 3320, 81, 891, 47, 35, 34, 34, 34, 30, 1115, 5321, 711, 291, 2599, 26, 3933, 9824, 30, 630, 14585, 1664, 3207, 7883, 47, 7883, 30, 1115, 5321, 27, 291, 3320, 81, 891, 81, 887, 280, 225, 37, 291, 415, 3320, 81, 891, 2511, 225, 34, 44, 324, 630, 32, 1409, 81, 2620, 81, 2613, 280, 225, 34, 324, 3320, 81, 891, 280, 225, 34, 291, 4348, 3320, 81, 891, 333, 3320, 81, 891, 81, 887, 44, 324, 630, 32, 1409, 81, 2620, 81, 2613, 280, 225, 34, 324, 3320, 81, 891, 280, 225, 34, 324, 17161, 463, 39614, 1597, 6869, 308, 887, 786, 436, 3320, 1334, 438, 904, 101, 547, 25, 904, 353, 3320, 81, 891, 81, 887, 30, 2649, 47, 37, 27, 291, 813, 44, 324, 630, 32, 1409, 81, 2620, 81, 2613, 280, 225, 35, 291, 630, 32, 2613, 81, 891, 280, 3320, 81, 891, 291, 630, 32, 7883, 280, 9073, 291, 630, 1114, 30, 784, 3667, 30, 784, 3667, 81, 280, 330, 17985, 25, 291, 372, 81, 496, 81, 2425, 280, 5053, 81, 950, 784, 1114, 1947, 14935, 784, 3667, 1947, 4701, 950, 784, 3667, 45742, 291, 630, 32, 7883, 32, 496, 81, 2425, 32, 1877, 26, 452, 81, 496, 81, 2425, 27, 284, 477, 2433, 284, 665, 13012, 81, 998, 26, 784, 711, 291, 442, 630, 32, 7883, 32, 10500, 81, 998, 284, 665, 1505, 81, 979, 81, 31626, 26, 784, 711, 291, 415, 27491, 328, 21513, 81, 1803, 3667, 2665, 26927, 324, 1596, 44, 400, 3555, 630, 32, 7883, 32, 496, 81, 2425, 26033, 785, 324, 2940, 25085, 44, 400, 3097, 284, 665, 28805, 26, 784, 711, 291, 1596, 44, 324, 4020, 280, 630, 32, 7883, 32, 6446, 81, 4018, 32, 1131, 81, 15002, 81, 12881, 77, 784, 32, 13232, 81, 998, 79, 324, 442, 4020, 32, 38848, 922, 20643, 463, 45, 683, 291, 2940, 44121, 44, 324, 442, 3177, 284, 665, 1477, 81, 2751, 7133, 26, 784, 711, 291, 3097, 284, 665, 2866, 81, 2024, 81, 13232, 26, 784, 711, 291, 3363, 32, 9362, 32, 1821, 26, 784, 32, 7883, 32, 43683, 81, 541, 27, 291, 963, 13232, 280, 630, 32, 7883, 32, 13232, 81, 4018, 32, 3169, 463, 541, 683, 291, 415, 630, 32, 1409, 81, 2620, 81, 2613, 44, 324, 3363, 32, 9362, 32, 1821, 26, 541, 13232, 27, 284, 665, 7596, 81, 1643, 81, 605, 26, 784, 30, 1056 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 6, 6, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 9, 8, 9, 7, 7, 9, 7, 4, 4, 7, 7, 7, 7, 6, 6, 7, 4, 4, 5, 7, 7, 6, 6, 7, 5, 5, 5, 9, 10, 10, 10, 10, 10, 8, 8, 9, 6, 6, 9, 9, 8, 8, 9, 5, 5, 6, 8, 8, 7, 7, 8, 8, 8, 8, 6, 6, 6, 10, 11, 11, 11, 11, 11, 9, 9, 10, 7, 7, 10, 10, 9, 9, 10, 7, 7, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 11, 12, 12, 12, 12, 10, 12, 11, 12, 10, 5, 5, 6, 6, 6, 10, 11, 11, 11, 11, 11, 9, 9, 10, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 8, 7, 9, 8, 7, 9, 8, 9, 6, 6, 9, 9, 4, 4, 7, 7, 7, 7, 6, 6, 10, 10, 10, 9, 7, 10, 10, 9, 7, 10, 10, 10, 9, 10, 4, 4, 9, 10, 8, 9, 9, 9, 7, 8, 7, 8, 8, 8, 8, 8, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 9, 7, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 8, 8, 7, 8, 8, 5, 5, 7, 7, 7, 9, 12, 13, 11, 12, 12, 12, 10, 12, 7, 7, 8, 8, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 5, 5, 5, 8, 8, 12, 13, 11, 12, 12, 12, 10, 11, 11, 11, 11, 11, 9, 11, 10, 11, 11, 11, 9, 6, 6, 7, 11, 12, 11, 10, 9, 11, 11, 5, 5, 6, 6, 6, 6, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 10, 9, 10, 8, 9, 9, 9, 7, 4, 4, 7, 6, 6, 10, 11, 9, 10, 10, 10, 8, 9, 8, 10, 10, 4, 4, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 10, 11, 9, 10, 9, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 4, 4, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 4, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 8, 8, 1, 2, 1, 2, 8, 8, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 4, 0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 3, 3, 0, 0, 0, 0, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 3, 2, 1, 2, 2, 5, 5, 5, 0, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 0, 2, 0, 0, 4, 2, 0, 0, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 4, 4, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 3, 3, 3, 3, 4, 4, 4, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 3, 3, 3, 3, 0, 4, 4, 5, 1, 1, 1, 2, 1, 2, 5, 5, 4, 4, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 4, 4, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 4, 4, 7, 1, 1, 1, 1, 2, 1, 2, 2 ]
[ 1070, 7777, 702, 107, 32, 4255, 32, 1439, 1188, 2179, 81, 1851, 203, 1070, 7777, 702, 107, 32, 2888, 444, 1188, 1930, 81, 2888, 444, 203, 823, 2108, 1104, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2719, 30, 2043, 30, 2016, 30, 2803, 711, 291, 630, 32, 2122, 280, 2719, 291, 630, 32, 1580, 280, 2043, 291, 630, 32, 2501, 280, 2016, 291, 630, 32, 2132, 280, 1930, 81, 2888, 444, 26, 2132, 27, 291, 630, 32, 2811, 280, 2933, 4456, 630, 32, 1851, 81, 314, 280, 1665, 291, 630, 32, 15655, 280, 3177, 291, 630, 32, 1986, 280, 1665, 291, 630, 32, 1986, 81, 681, 280, 1665, 284, 665, 9460, 26, 784, 30, 706, 711, 291, 415, 630, 32, 15655, 44, 324, 3636, 26405, 440, 2272, 1326, 1401, 3425, 2583, 11425, 657, 291, 630, 32, 1986, 81, 681, 280, 313, 1986, 20, 291, 630, 32, 1986, 280, 706, 291, 630, 32, 15655, 280, 2933, 284, 665, 1048, 26, 784, 30, 3124, 711, 291, 415, 630, 32, 15655, 44, 324, 3636, 26405, 440, 2272, 1326, 1401, 3425, 2583, 11425, 657, 291, 630, 32, 1986, 81, 681, 280, 313, 731, 20, 291, 630, 32, 1986, 280, 3124, 291, 630, 32, 15655, 280, 2933, 284, 665, 2179, 81, 1851, 26, 784, 711, 291, 442, 2179, 81, 1851, 26, 784, 32, 2501, 30, 630, 32, 2132, 27, 203, 823, 8229, 935, 445, 13976, 26, 1473, 711, 284, 665, 617, 8358, 1853, 2023, 3271, 101, 26, 784, 30, 2719, 30, 2043, 30, 2016, 30, 1326, 81, 2811, 47, 1815, 30, 3775, 1115, 2132, 711, 291, 1326, 280, 2108, 1104, 26, 2122, 30, 2043, 30, 2016, 30, 2803, 27, 291, 1326, 32, 2811, 280, 1326, 81, 2811, 291, 2719, 32, 2416, 81, 1357, 26, 1357, 27, 291, 442, 1326, 284, 665, 16215, 1853, 26, 784, 30, 2719, 30, 2043, 30, 2016, 30, 1115, 2132, 711, 291, 1326, 280, 630, 1114, 8358, 1853, 2023, 3271, 101, 26, 2122, 30, 2043, 30, 2016, 30, 1115, 2132, 27, 291, 630, 32, 6549, 26, 1357, 32, 15655, 27, 291, 415, 1326, 32, 1986, 81, 681, 610, 313, 731, 563, 324, 3636, 34835, 440, 924, 328, 17292, 1476, 44, 904, 101, 20, 904, 1326, 32, 1986, 27, 291, 630, 32, 5299, 26, 1357, 32, 1986, 81, 681, 30, 313, 1986, 657, 291, 442, 1326, 32, 1986, 284, 665, 16215, 5012, 924, 26, 784, 30, 2719, 30, 2043, 30, 2016, 30, 1115, 2132, 711, 291, 1326, 280, 630, 1114, 8358, 1853, 2023, 3271, 101, 26, 2122, 30, 2043, 30, 2016, 30, 1115, 2132, 27, 291, 630, 32, 6549, 26, 1357, 32, 15655, 27, 291, 630, 32, 5299, 26, 1357, 32, 1986, 81, 681, 30, 313, 731, 657, 291, 442, 1326, 32, 1986, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 9, 8, 9, 7, 7, 8, 9, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 4, 3, 3, 6, 6, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 8, 8, 8, 10, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 4, 4, 5, 7, 8, 8, 8, 6, 6, 8, 8, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 12, 9, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 9, 4, 4, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 8, 8, 8, 10, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 9, 4, 4, 5, 6, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 0, 3, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 3, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 4, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 3, 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 ]
[ 505, 464, 505, 280, 2107, 5584, 34914, 4248, 370, 2607, 330, 5584, 34914, 370, 330, 5584, 2059, 370, 2607, 330, 3297, 370, 330, 6421, 3297, 370, 2607, 330, 371, 81, 1567, 81, 5837, 81, 6038, 370, 330, 470, 81, 1567, 81, 5837, 81, 6038, 370, 2607, 330, 371, 81, 1567, 81, 5837, 370, 330, 470, 81, 1567, 81, 5837, 370, 330, 890, 81, 1567, 81, 5837, 370, 2607, 330, 371, 81, 2661, 81, 28090, 370, 330, 470, 81, 2661, 81, 28090, 370, 2607, 1481, 203, 465, 35094, 203, 465, 17787, 203, 465, 26542, 1356, 203, 465, 6234, 203, 465, 16539, 203, 465, 5237, 203, 465, 26313, 203, 465, 27374, 203, 81, 5177, 37, 38, 280, 5237, 32, 1648, 81, 1338, 2377, 308, 37, 30, 225, 38, 27, 203, 589, 617, 371, 81, 1126, 81, 1855, 26, 1298, 711, 284, 415, 617, 5177, 37, 38, 44, 291, 3420, 280, 17787, 32, 7513, 26, 1298, 27, 284, 4348, 19326, 26, 1298, 30, 11477, 21111, 505, 7831, 291, 3420, 280, 3420, 3667, 21111, 505, 284, 415, 17787, 32, 297, 1126, 26, 1298, 711, 291, 1340, 280, 3420, 3667, 687, 505, 291, 442, 308, 687, 32, 331, 81, 3607, 30, 1340, 32, 331, 81, 2232, 12300, 27, 284, 415, 6937, 26, 1298, 30, 35094, 32, 9865, 711, 291, 442, 617, 371, 81, 1126, 81, 1855, 26, 1298, 32, 1298, 27, 284, 415, 617, 5177, 37, 38, 461, 6937, 26, 1298, 30, 35094, 32, 9865, 1959, 711, 291, 442, 617, 371, 81, 1126, 81, 1855, 26, 1298, 32, 1298, 27, 284, 442, 1665, 203, 589, 617, 1643, 81, 1132, 26, 1132, 711, 284, 2181, 81, 13707, 280, 26542, 1356, 32, 13707, 26, 1132, 27, 284, 415, 2069, 26, 1132, 27, 610, 225, 35, 461, 2181, 81, 13707, 32, 20643, 12573, 27, 7831, 291, 2181, 81, 13707, 280, 2181, 81, 13707, 20129, 36, 79, 474, 39691, 284, 442, 2181, 81, 13707, 203, 589, 617, 1643, 81, 4383, 26, 1298, 30, 2181, 30, 12809, 1057, 7831, 284, 415, 6937, 26, 1298, 30, 35094, 32, 9865, 711, 291, 415, 2181, 438, 646, 1665, 44, 324, 12809, 280, 617, 1643, 81, 1132, 26, 1132, 27, 474, 12809, 291, 442, 617, 1643, 81, 4383, 26, 1298, 32, 1298, 30, 3420, 32, 1132, 30, 12809, 27, 284, 3420, 81, 13707, 280, 18623, 26, 1298, 30, 11477, 939, 426, 505, 370, 1665, 27, 284, 415, 646, 3420, 81, 13707, 44, 291, 3420, 81, 13707, 280, 26542, 26, 1298, 27, 284, 415, 2181, 438, 646, 1665, 44, 291, 3420, 81, 13707, 1454, 617, 1643, 81, 1132, 26, 1132, 27, 284, 415, 12809, 44, 291, 3420, 81, 13707, 1454, 12809, 284, 1914, 280, 617, 371, 81, 1126, 81, 1855, 26, 1298, 27, 284, 415, 1914, 44, 291, 3420, 81, 13707, 1454, 330, 821, 904, 101, 6069, 101, 25, 904, 1914, 284, 442, 3420, 81, 13707, 203, 823, 7968, 44, 284, 1156, 18645, 505, 280, 2726, 81, 4383, 370, 7610, 1132, 370, 7610, 42852, 370, 7610, 5837, 370, 353, 7610, 1855, 81, 35382, 370, 7610, 13707, 370, 11477, 12063, 612, 505, 683, 284, 665, 1156, 1664, 3207 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 3, 3, 5, 4, 4, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 3, 3, 3, 6, 6, 8, 9, 8, 9, 8, 3, 3, 4, 6, 7, 6, 6, 8, 8, 8, 4, 4, 7, 7, 8, 9, 9, 2, 2, 3, 5, 6, 6, 5, 6, 5, 3, 3, 6, 6, 7, 8, 8, 4, 4, 5, 8, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 6, 2, 2, 3, 5, 6, 5, 5, 6, 7, 5, 3, 3, 5, 7, 7, 7, 7, 7, 7, 9, 8, 9, 7, 2, 2, 3, 5, 5, 5, 4, 4, 6, 7, 6, 6, 7, 8, 8, 6, 3, 3, 5, 7, 7, 7, 7, 7, 7, 9, 8, 9, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 7, 6, 7, 6, 7, 6, 2, 2, 3, 7, 8, 7, 5, 5, 6, 4, 4, 7, 7, 6, 7, 6, 8, 8, 3, 3, 7, 7, 6, 6, 9, 9, 8, 11, 8, 7, 7, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 5, 1, 1, 3, 5, 6, 5, 5, 6, 7, 5, 3, 3, 5, 6, 6, 6, 5, 5, 5, 8, 8, 11, 11, 11, 11, 12, 11, 9, 9, 4, 4, 5, 7, 7, 7, 7, 9, 8, 9, 7, 7, 8, 9, 7, 7, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 5, 3, 3, 3, 7, 7, 6, 6, 8, 9, 8, 2, 2, 3, 4, 4, 4, 3, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 9, 8, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 2, 2, 3, 4, 4, 0, 1, 1, 1, 1, 1, 5, 5, 4, 4, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 2, 2, 3, 4, 4 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 0, 10, 10, 1, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 4, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 3, 3, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 3, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 4, 0, 11, 11, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 4, 4, 2, 1, 1, 0, 12, 12, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 1, 12, 12, 0, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 3, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 6, 6, 6, 6, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 7, 1, 1, 0, 13, 13, 13, 13, 13, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 3, 3, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 312, 2144, 39278, 203, 465, 5237, 203, 465, 1133, 203, 1070, 312, 2144, 39278, 1188, 47412, 619, 298, 203, 823, 48938, 1183, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2043, 711, 291, 630, 32, 1580, 280, 2043, 284, 665, 1487, 32922, 26, 784, 711, 291, 1459, 5528, 96, 621, 326, 2648, 48938, 30599, 18899, 96, 657, 291, 1256, 3157, 280, 1665, 291, 1256, 953, 280, 1665, 291, 26756, 953, 280, 1665, 291, 952, 280, 596, 346, 291, 952, 280, 5081, 81, 1131, 440, 6545, 952, 44, 7788, 4456, 415, 2069, 26, 699, 27, 848, 225, 34, 44, 324, 6089, 280, 1665, 324, 7231, 280, 1665, 324, 1256, 953, 280, 2884, 858, 392, 313, 3707, 392, 952, 27, 324, 308, 678, 30, 5035, 30, 496, 3157, 27, 280, 630, 32, 1580, 32, 371, 26, 496, 953, 30, 6038, 27, 324, 3627, 280, 2149, 324, 415, 1256, 3157, 44, 400, 415, 330, 21334, 998, 25, 328, 1256, 3157, 44, 1750, 2354, 32922, 1534, 280, 629, 26, 496, 3157, 710, 21334, 998, 3490, 474, 225, 35, 400, 813, 44, 1750, 2354, 32922, 1534, 280, 225, 35, 400, 3627, 710, 21334, 785, 280, 5081, 81, 1131, 440, 6545, 26756, 436, 313, 474, 952, 474, 10685, 657, 400, 8349, 47, 630, 32, 11957, 12956, 346, 400, 26756, 953, 280, 2884, 858, 392, 313, 38290, 392, 952, 474, 17917, 474, 596, 26, 1978, 32922, 1534, 490, 400, 3627, 1365, 1421, 1446, 280, 225, 8349, 400, 3627, 1365, 699, 32955, 952, 400, 630, 32, 1580, 32, 524, 26, 21334, 953, 30, 4133, 30, 6089, 30, 7231, 27, 8982, 1459, 5528, 96, 1589, 44, 48938, 3627, 3272, 14351, 96, 392, 4133, 30, 21334, 953, 27, 400, 630, 32, 1877, 1240, 26, 784, 32, 1580, 30, 1256, 953, 30, 7231, 30, 8349, 30, 2354, 32922, 1534, 27, 324, 813, 44, 400, 1459, 440, 2930, 44, 2680, 3627, 646, 2431, 14351, 96, 657, 284, 665, 8971, 1934, 70, 18936, 43298, 3699, 26, 784, 711, 291, 1596, 44, 324, 26756, 8816, 280, 630, 32, 1580, 32, 6979, 440, 858, 392, 313, 38290, 657, 324, 26756, 8816, 32, 1613, 463, 21334, 683, 324, 665, 26756, 3296, 1162, 678, 30, 6089, 30, 3627, 8531, 1090, 1459, 26, 4133, 27, 324, 26756, 8816, 32, 4935, 26, 21334, 3296, 27, 291, 2940, 3268, 619, 484, 499, 324, 1459, 440, 731, 44, 301, 34, 16054, 1643, 26, 87, 471, 803, 47, 3731, 32, 8228, 27, 284, 665, 1974, 1240, 26, 784, 30, 2043, 30, 1256, 953, 30, 7231, 30, 8349, 30, 26756, 1534, 711, 291, 1256, 32922, 280, 2149, 291, 1256, 32922, 1365, 21334, 998, 1446, 280, 26756, 1534, 291, 1256, 32922, 1365, 2135, 21334, 318, 1446, 280, 8349, 203, 202, 2859, 280, 1665, 291, 630, 32, 1580, 32, 524, 26, 496, 953, 30, 496, 32922, 30, 6089, 30, 7231, 27, 291, 1459, 5528, 96, 1589, 44, 886, 26756, 2385, 2464, 438, 44, 313, 1717, 26756, 1534, 27, 284, 665, 1974, 1240, 9515, 6420, 332, 26, 784, 30, 2043, 30, 1256, 953, 30, 7231, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 2, 2, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 10, 9, 9, 9, 9, 9, 9, 10, 9, 4, 4, 7, 6, 6, 4, 4, 7, 6, 6, 4, 4, 7, 6, 6, 4, 4, 6, 6, 8, 4, 4, 6, 6, 8, 8, 8, 10, 10, 10, 10, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 8, 8, 6, 6, 8, 8, 6, 6, 9, 8, 8, 11, 11, 9, 11, 11, 9, 9, 6, 6, 10, 9, 9, 9, 10, 10, 9, 8, 8, 11, 12, 10, 11, 10, 11, 11, 10, 11, 10, 6, 6, 8, 8, 6, 6, 7, 8, 7, 7, 7, 9, 12, 12, 12, 10, 10, 11, 9, 9, 9, 13, 13, 12, 12, 15, 17, 17, 16, 18, 18, 18, 13, 13, 14, 9, 9, 10, 10, 10, 14, 14, 13, 13, 14, 8, 8, 11, 13, 13, 10, 10, 12, 12, 12, 16, 16, 16, 16, 14, 14, 13, 13, 15, 8, 8, 10, 10, 12, 13, 13, 12, 8, 8, 11, 10, 10, 13, 13, 11, 13, 13, 11, 13, 13, 12, 12, 14, 15, 15, 15, 14, 8, 8, 11, 13, 13, 10, 10, 10, 8, 8, 11, 13, 13, 10, 8, 8, 12, 13, 11, 12, 11, 12, 12, 11, 12, 11, 11, 11, 11, 11, 8, 8, 11, 14, 13, 13, 13, 13, 13, 13, 14, 13, 12, 11, 12, 12, 11, 8, 8, 11, 12, 12, 11, 13, 12, 13, 11, 11, 12, 11, 11, 11, 11, 11, 11, 12, 12, 11, 7, 7, 8, 8, 8, 12, 14, 14, 14, 14, 14, 14, 14, 15, 14, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 9, 8, 8, 11, 12, 10, 11, 10, 12, 12, 10, 12, 12, 6, 6, 10, 9, 10, 9, 11, 11, 6, 6, 7, 8, 8, 10, 9, 9, 9, 9, 9, 7, 7, 11, 12, 11, 6, 6, 10, 9, 10, 9, 10, 10, 9, 5, 5, 6, 7, 7, 6, 6, 6, 10, 14, 14, 14, 14, 14, 13, 12, 13, 12, 10, 11, 13, 12, 13, 10, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 4, 4, 8, 7, 9, 9, 9, 6, 6, 7, 4, 4, 8, 7, 9, 9, 9, 9, 6, 6, 4, 4, 7, 6, 6, 4, 4, 8, 9, 7, 8, 7, 8, 8, 7, 8, 8, 7, 7, 7, 7, 7, 4, 4, 7, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 4, 4, 3, 3, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 1, 2, 6, 6, 6, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 3, 3, 1, 0, 0, 0, 5, 5, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 3, 3, 5, 1, 5, 5, 5, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 3, 3, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 1, 3, 3, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 5, 5, 1, 1, 1, 1, 1, 3, 3, 0, 1, 2, 0, 0, 0, 3, 3, 0, 1, 2, 0, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 5, 5, 1, 3, 3, 0, 2, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 9, 9, 1, 5, 5, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 0, 2, 2, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 11, 2, 3, 3, 0, 0, 0, 4, 4, 0, 0, 1, 1, 2, 0, 0, 2, 4, 4, 0, 0, 1, 1, 1, 2, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2 ]
[ 9592, 1647, 436, 2280, 2899, 11962, 9592, 203, 1070, 13625, 1188, 18609, 203, 1070, 7791, 267, 32, 2282, 32, 1617, 32, 2958, 32, 2304, 32, 751, 1188, 2662, 203, 1070, 7791, 267, 32, 2282, 32, 1617, 32, 2958, 32, 2304, 32, 22580, 1188, 439, 2247, 9824, 203, 823, 2108, 2247, 9824, 26, 780, 912, 9824, 711, 334, 18005, 280, 225, 35, 34, 34, 34, 34, 334, 665, 11656, 26, 784, 30, 3570, 30, 1619, 711, 284, 2662, 32, 1338, 440, 383, 11656, 432, 2108, 2247, 9824, 657, 284, 630, 32, 4680, 280, 18609, 346, 334, 665, 5063, 81, 417, 26, 784, 711, 284, 2662, 32, 1338, 440, 383, 5063, 81, 417, 432, 2108, 2247, 9824, 657, 334, 665, 9533, 26, 784, 30, 9533, 81, 1338, 711, 284, 630, 32, 4680, 710, 7911, 785, 1454, 225, 35, 284, 415, 630, 32, 4680, 710, 7911, 785, 904, 630, 32, 9238, 610, 225, 34, 44, 397, 2662, 32, 1338, 440, 1006, 2247, 9824, 44, 31398, 904, 101, 24414, 20, 904, 596, 26, 784, 32, 4680, 710, 7911, 7698, 334, 665, 1869, 541, 81, 459, 26, 784, 30, 1869, 541, 81, 459, 81, 1338, 711, 284, 630, 32, 4680, 710, 419, 81, 459, 785, 1454, 225, 35, 284, 415, 630, 32, 4680, 710, 419, 81, 459, 785, 904, 630, 32, 9238, 610, 225, 34, 44, 397, 2662, 32, 1338, 440, 1006, 2247, 9824, 44, 1869, 541, 17622, 318, 904, 101, 24414, 20, 904, 596, 26, 784, 32, 4680, 710, 419, 81, 459, 7698, 334, 665, 1869, 541, 81, 5066, 26, 784, 30, 1869, 541, 81, 5066, 81, 1338, 711, 284, 630, 32, 4680, 710, 419, 81, 5066, 785, 1454, 225, 35, 284, 415, 630, 32, 4680, 710, 419, 81, 5066, 785, 904, 630, 32, 9238, 610, 225, 34, 44, 397, 2662, 32, 1338, 440, 1006, 2247, 9824, 44, 1869, 541, 3803, 904, 101, 24414, 20, 904, 596, 26, 784, 32, 4680, 710, 419, 81, 5066, 7698, 334, 665, 323, 15771, 81, 4526, 26, 784, 30, 323, 15771, 81, 4526, 81, 1338, 711, 284, 630, 32, 4680, 710, 1551, 81, 2493, 785, 1454, 225, 35, 284, 415, 630, 32, 4680, 710, 1551, 81, 2493, 785, 904, 630, 32, 9238, 610, 225, 34, 44, 397, 2662, 32, 1338, 440, 1006, 2247, 9824, 44, 323, 15771, 10768, 904, 101, 24414, 20, 904, 596, 26, 784, 32, 4680, 710, 1551, 81, 2493, 7698, 334, 665, 323, 15771, 81, 459, 26, 784, 30, 323, 15771, 81, 459, 81, 1338, 711, 284, 630, 32, 4680, 710, 1551, 81, 459, 785, 1454, 225, 35, 284, 415, 630, 32, 4680, 710, 1551, 81, 459, 785, 904, 630, 32, 9238, 610, 225, 34, 44, 397, 2662, 32, 1338, 440, 1006, 2247, 9824, 44, 323, 15771, 17622, 318, 904, 101, 24414, 20, 904, 596, 26, 784, 32, 4680, 710, 1551, 81, 459, 7698, 334, 665, 323, 15771, 81, 5066, 26, 784, 30, 323, 15771, 81, 5066, 81, 1338, 711, 284, 630, 32, 4680, 710, 1551, 81, 5066, 785, 1454, 225, 35, 284, 415, 630, 32, 4680, 710, 1551, 81, 5066, 785, 904, 630, 32, 9238, 610 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 6, 6, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 8, 9, 7, 9, 9, 6, 6, 7, 4, 4, 5, 9, 10, 8, 10, 10, 7, 7, 8, 9, 6, 6, 7, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 15, 14, 15, 13, 15, 15, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 8, 9, 7, 9, 9, 9, 9, 6, 6, 7, 4, 4, 5, 9, 10, 8, 10, 10, 10, 10, 7, 7, 8, 9, 6, 6, 7, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 15, 14, 15, 13, 15, 15, 15, 15, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 8, 9, 7, 9, 9, 9, 9, 6, 6, 7, 4, 4, 5, 9, 10, 8, 10, 10, 10, 10, 7, 7, 8, 9, 6, 6, 7, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 15, 14, 15, 13, 15, 15, 15, 15, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 8, 9, 7, 9, 9, 9, 9, 6, 6, 7, 4, 4, 5, 9, 10, 8, 10, 10, 10, 10, 7, 7, 8, 9, 6, 6, 7, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 15, 14, 15, 13, 15, 15, 15, 15, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 8, 9, 7, 9, 9, 9, 9, 6, 6, 7, 4, 4, 5, 9, 10, 8, 10, 10, 10, 10, 7, 7, 8, 9, 6, 6, 7, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 15, 14, 15, 13, 15, 15, 15, 15, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 8, 9, 7, 9, 9, 9, 9, 6, 6, 7, 4, 4, 5, 9, 10, 8, 10, 10, 10, 10, 7, 7, 8, 9, 6 ]
[ 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 3, 3, 0, 0, 0, 4, 4, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 2, 1, 2, 2, 3, 3, 2, 3, 3, 0, 2, 0, 1, 2, 0, 0, 2, 4, 4, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 4, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 2, 4, 4, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 4, 4, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 2, 5, 5, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 4, 4, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 6, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 2, 6, 6, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 4, 4, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 7, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 2, 7, 7, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 4, 4, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 8, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 2, 8, 8, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 4, 4, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 5237, 203, 1070, 35094, 1188, 11665, 203, 1070, 3619, 10201, 32, 2602, 1188, 17195, 3135, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 415, 2069, 26, 3731, 32, 6118, 27, 863, 225, 36, 461, 2069, 26, 3731, 32, 6118, 27, 863, 225, 37, 44, 291, 1459, 27265, 291, 10484, 44, 2440, 290, 81, 1131, 1643, 333, 605, 81, 761, 48, 428, 6308, 81, 3968, 81, 761, 79, 291, 4489, 623, 2280, 22351, 44, 291, 5841, 1771, 33, 10201, 31, 4737, 769, 5350, 31, 823, 31, 983, 517, 983, 33, 452, 33, 2763, 33, 6857, 766, 291, 517, 983, 33, 452, 33, 7899, 33, 41411, 81, 1131, 1643, 32, 978, 333, 605, 81, 761, 48, 428, 6308, 81, 3968, 81, 761, 79, 291, 7405, 25150, 844, 1159, 11203, 290, 706, 7107, 328, 333, 605, 81, 761, 4503, 19292, 5365, 883, 526, 24480, 3191, 291, 328, 428, 6308, 81, 3968, 81, 761, 997, 291, 3330, 392, 803, 47, 3731, 32, 8228, 27, 291, 5237, 32, 4775, 3736, 35, 27, 284, 1519, 280, 5237, 32, 6118, 77, 35, 79, 284, 20506, 280, 17195, 3135, 78, 291, 638, 4164, 78, 291, 638, 33088, 440, 4695, 290, 953, 1612, 2207, 657, 78, 291, 638, 371, 25277, 346, 284, 2197, 280, 20506, 32, 10201, 1222, 284, 3570, 280, 1665, 284, 415, 2069, 26, 3731, 32, 6118, 27, 610, 225, 37, 44, 291, 5365, 81, 42419, 280, 2197, 32, 878, 974, 26, 3731, 32, 6118, 77, 36, 614, 225, 35, 547, 6174, 346, 291, 3570, 280, 3447, 41411, 32, 3968, 32, 1131, 32, 678, 563, 11665, 26, 5962, 816, 30, 533, 44, 816, 474, 533, 30, 5365, 81, 42419, 4370, 284, 2440, 290, 81, 42419, 280, 2197, 32, 890, 2554, 58, 8677, 974, 26, 291, 1519, 30, 291, 313, 1088, 32, 2104, 32, 41411, 32, 1110, 8920, 32, 4695, 290, 953, 1612, 2207, 392, 291, 313, 1088, 32, 2104, 32, 41411, 32, 1110, 1092, 32, 4695, 290, 953, 392, 291, 313, 1088, 32, 2104, 32, 10213, 32, 716, 32, 1883, 21407, 392, 291, 1202, 6519, 347, 1088, 32, 2104, 32, 10201, 32, 7899, 32, 2958, 45256, 32, 4695, 290, 4672, 705, 5433, 6519, 392, 291, 3570, 47, 2957, 27, 284, 1688, 280, 2440, 290, 81, 42419, 32, 1110, 26, 5962, 816, 44, 816, 77, 34, 8492, 6174, 346, 284, 436, 831, 328, 1688, 44, 291, 1459, 26, 93, 27, 284, 20506, 32, 4048, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 7, 9, 8, 9, 7, 5, 5, 6, 4, 4, 7, 9, 8, 9, 7, 5, 5, 6, 3, 3, 3, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 10, 9, 10, 7, 4, 4, 7, 8, 7, 9, 7, 2, 2, 4, 4, 6, 7, 5, 6, 5, 2, 2, 4, 4, 10, 10, 10, 9, 10, 9, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 7, 7, 6, 7, 7, 6, 2, 2, 4, 4, 5, 6, 6, 2, 2, 4, 4, 2, 2, 3, 6, 8, 7, 8, 6, 4, 4, 5, 3, 3, 3, 7, 7, 6, 6, 10, 11, 11, 10, 13, 12, 13, 11, 12, 11, 10, 11, 10, 9, 8, 4, 4, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 11, 11, 12, 12, 11, 11, 12, 12, 10, 10, 11, 11, 10, 2, 2, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 8, 6, 2, 2, 4, 4, 9, 9, 9, 8, 9, 8, 9, 9, 9, 9, 10, 11, 10, 7, 6, 2, 2, 3, 3, 3, 3, 3, 3, 7, 8, 7, 2, 2, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 4, 4, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 0, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 1, 1, 0, 3, 1, 1, 0, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 3, 3, 1, 3, 3, 0, 0, 2, 2, 2, 3, 3, 0, 0, 3, 3, 5, 1, 0, 1, 2, 1, 1, 1, 2, 5, 5, 5, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 3, 1, 2, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 11, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 2, 3, 2, 1, 3, 3, 8, 8, 8, 8, 8, 8, 1, 1, 1, 3, 3, 0, 2, 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 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 15390, 81, 30839, 203, 465, 802, 203, 465, 40946, 203, 81, 280, 40946, 32, 33170, 203, 9471, 280, 1665, 203, 55, 280, 301, 284, 313, 1693, 31, 10187, 563, 291, 26155, 1883, 5341, 328, 1509, 3443, 30, 14171, 623, 632, 29, 1139, 6344, 26551, 284, 313, 5790, 31, 687, 1493, 563, 291, 26155, 3817, 1340, 1493, 328, 3443, 26551, 284, 313, 34755, 631, 31, 11314, 31, 12853, 352, 563, 291, 26155, 19453, 352, 308, 4242, 33254, 17180, 328, 2604, 26551, 284, 313, 34755, 31, 2446, 31, 22331, 31, 2225, 563, 291, 26155, 27124, 9964, 25521, 4422, 30, 14171, 623, 498, 56, 26551, 284, 313, 335, 5734, 31, 5910, 31, 35, 36, 39, 36, 31, 2225, 563, 291, 26155, 2216, 1654, 623, 24220, 1451, 308, 5910, 31, 35, 36, 39, 36, 4121, 547, 2113, 284, 313, 37509, 31, 5954, 31, 10125, 31, 2225, 563, 291, 26155, 12930, 4422, 18497, 1330, 526, 12785, 372, 5341, 313, 616, 11608, 687, 1493, 632, 29, 42668, 1594, 1465, 1428, 27, 34, 42, 106, 547, 2113, 284, 313, 335, 5734, 31, 687, 1493, 31, 979, 31, 10125, 31, 2225, 563, 291, 26155, 12930, 4422, 10666, 600, 24220, 1340, 1493, 44, 313, 616, 313, 71, 29, 42668, 1594, 1465, 1428, 27, 34, 42, 106, 26551, 284, 313, 10125, 31, 2225, 31, 12655, 31, 6624, 36982, 563, 291, 26155, 12930, 4422, 9075, 1330, 943, 623, 13044, 2473, 2113, 284, 313, 3140, 31, 10125, 31, 2225, 31, 698, 31, 9294, 31, 24073, 563, 291, 26155, 12930, 4422, 2799, 32, 26031, 943, 432, 803, 4174, 26551, 284, 313, 3140, 31, 10125, 31, 2225, 563, 291, 26155, 12930, 4422, 2799, 1273, 4909, 2431, 26551, 284, 313, 9281, 31, 2225, 31, 12655, 31, 6624, 36982, 563, 291, 26155, 11049, 4422, 9075, 1330, 943, 623, 13044, 2473, 2113, 284, 313, 3140, 31, 9281, 31, 2225, 563, 291, 26155, 11049, 4422, 2799, 32, 26031, 4909, 26551, 284, 313, 5843, 31, 266, 31, 416, 31, 2142, 563, 291, 26155, 2102, 2604, 4304, 15372, 5414, 26551, 284, 330, 784, 31, 21664, 31, 4555, 31, 267, 31, 416, 31, 2142, 950, 291, 26155, 2102, 2604, 4304, 15372, 630, 31, 21664, 4655, 26551, 284, 313, 3140, 31, 2142, 31, 426, 31, 698, 31, 9294, 31, 990, 31, 32180, 563, 291, 26155, 7700, 2604, 636, 32, 26031, 330, 6457, 4174, 26551, 284, 313, 3140, 31, 2142, 31, 426, 31, 698, 31, 9294, 31, 4594, 31, 1826, 563, 291, 26155, 7700, 2604, 636, 32, 26031, 330, 19067, 4174, 32, 308, 4424, 4163, 1330, 313, 616, 313, 3592, 8202, 9400, 7447, 2113, 284, 313, 3140, 31, 2142, 31, 426, 563, 291, 26155, 7700, 2604, 636, 32, 26031, 4660, 813, 4174, 2113, 284, 313, 3140, 31, 21664, 31, 2142, 31, 698, 31, 9294, 31, 990, 31, 32180, 563, 291, 26155, 7700, 13734, 2604, 32, 26031, 330, 6457, 4174, 32, 36458, 8696, 9398, 26820, 2113, 284, 313, 3140, 31, 21664, 31, 2142, 31, 698, 31, 9294, 31, 24073, 563, 291, 26155, 7700, 13734, 2604, 32, 36187, 943, 432, 803, 26551, 284, 313, 3140, 31 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 3, 4, 0, 3, 2, 2, 0, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 4, 4, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 4, 4, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 4, 4, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 3, 3, 6, 6, 6, 6, 6, 6, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 15, 15, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 17, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 19, 19, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 21, 21, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 23, 23, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 25, 25, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 27, 27, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 29, 29, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 31, 31, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 33, 33, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 35, 35, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 37, 37, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1 ]
[ 1070, 32400, 81, 3494, 32, 16520, 32, 13471, 1188, 12441, 917, 27106, 733, 13018, 953, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 28497, 1188, 6207, 81, 3648, 203, 1070, 8527, 32, 525, 1188, 17874, 30, 4688, 38, 34, 38, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 40075, 203, 1070, 10173, 32, 3378, 1188, 5830, 203, 1070, 10173, 32, 2304, 1188, 10173, 81, 6565, 81, 979, 81, 7632, 203, 1070, 8419, 1396, 32, 19013, 1188, 622, 81, 7632, 81, 1793, 81, 3560, 203, 465, 2361, 203, 465, 5741, 203, 465, 13625, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 2554, 81, 24222, 280, 301, 284, 330, 14254, 950, 5053, 426, 950, 330, 11438, 2330, 370, 330, 1648, 950, 225, 35, 835, 284, 330, 16948, 81, 5834, 950, 301, 291, 330, 2388, 950, 5053, 2788, 950, 330, 2388, 8885, 291, 330, 8886, 950, 5053, 2788, 950, 330, 1055, 370, 330, 3705, 950, 330, 1297, 8885, 291, 330, 5766, 950, 5053, 2788, 950, 330, 850, 370, 330, 4747, 950, 330, 1877, 370, 330, 6691, 950, 330, 2560, 8885, 291, 330, 1903, 950, 5053, 2788, 950, 330, 1903, 8885, 284, 801, 284, 330, 3459, 81, 10890, 81, 13681, 950, 225, 35, 34, 34, 34, 30, 203, 111, 203, 30656, 280, 13625, 32, 426, 41766, 463, 30656, 370, 2107, 525, 81, 1986, 370, 330, 605, 3490, 203, 589, 4125, 81, 6565, 26, 1357, 30, 8419, 81, 678, 711, 284, 5881, 284, 3759, 2933, 415, 322, 4125, 438, 5887, 436, 322, 8419, 30, 5878, 3177, 32, 284, 5881, 284, 8419, 280, 617, 371, 81, 7632, 26, 1357, 30, 8419, 81, 678, 27, 284, 442, 10173, 81, 6565, 81, 979, 81, 7632, 26, 7632, 27, 203, 50, 3615, 81, 3648, 203, 589, 4125, 81, 1357, 26, 1357, 30, 8419, 81, 314, 30, 1115, 5321, 711, 284, 5881, 284, 23495, 2330, 5167, 372, 322, 9136, 2125, 1411, 461, 3217, 3398, 32, 284, 34904, 312, 225, 38, 34, 38, 415, 322, 8843, 2869, 1957, 646, 2307, 556, 10173, 884, 291, 6869, 436, 322, 8419, 32, 284, 5881, 284, 1201, 6937, 26, 7632, 81, 314, 30, 1695, 800, 27, 284, 8419, 81, 678, 280, 12441, 917, 27106, 733, 13018, 953, 32, 1070, 81, 15040, 81, 800, 26, 7632, 81, 314, 27, 284, 415, 646, 4125, 81, 6565, 26, 1357, 30, 8419, 81, 678, 711, 291, 1245, 32, 2811, 463, 11438, 884, 6869, 436, 8419, 44, 301, 34, 16805, 1643, 26, 7632, 81, 314, 490, 291, 3636, 4688, 38, 34, 38, 284, 2869, 81, 1110, 280, 2330, 81, 24222, 32, 371, 463, 16948, 81, 5834, 370, 12797, 284, 2869, 81, 426, 280, 10306, 32, 3235, 463, 3142, 683, 284, 2869, 81, 1959, 280, 1326, 32, 1959, 284, 2869, 280, 2869, 81, 1110, 32, 371, 26, 3142, 81, 426, 27, 284, 415, 2869, 438, 1665, 44, 291, 1245, 32, 2811, 463, 2291, 10698, 34, 3845, 1957, 646, 2307, 2473, 1643, 26, 3142, 81, 426, 490, 291, 3636, 4688, 38, 34, 38, 284, 415, 2869, 81, 1959, 646, 328, 2869, 32, 3494, 2262, 291, 1245, 32, 2811, 463, 2291, 10698, 34 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 8, 8, 6, 8, 8, 8, 5, 8, 8, 6, 7, 5, 3, 3, 6, 6, 6, 6, 4, 5, 5, 8, 8, 6, 10, 10, 8, 10, 10, 5, 5, 8, 8, 6, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 5, 5, 8, 8, 6, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 5, 5, 8, 8, 6, 10, 10, 8, 10, 10, 5, 5, 3, 3, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 0, 3, 2, 2, 4, 5, 5, 4, 6, 6, 4, 7, 7, 7, 7, 5, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 6, 5, 0, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 5, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 7, 7, 7, 6, 6, 7, 6, 3, 3, 6, 6, 5, 5, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 3, 3, 4, 5, 7, 7, 7, 8, 7, 7, 8, 8, 7, 4, 4, 8, 9, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 11, 11, 11, 10, 5, 5, 6, 7, 7, 7, 3, 3, 6, 6, 5, 5, 8, 8, 7, 8, 7, 9, 9, 9, 9, 7, 3, 3, 6, 6, 5, 5, 7, 8, 7, 9, 9, 3, 3, 6, 6, 5, 5, 6, 7, 3, 3, 5, 5, 8, 8, 7, 8, 7, 8, 8, 8, 7, 3, 3, 4, 5, 5, 4, 4, 4, 8, 9, 8, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 11, 11, 11, 10, 5, 5, 6, 7, 7, 7, 3, 3, 4, 6, 6, 5, 5, 5, 7, 8, 7, 4, 4, 8, 9, 8, 12, 12, 12 ]
[ 0, 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 3, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 1, 2, 5, 1, 2, 2, 2, 1, 2, 7, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 2, 0, 13, 13, 1, 1, 2, 1, 2, 2, 3, 3, 2, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 14, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 0, 0, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 8, 1, 1, 8, 8, 8, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 4, 4, 9, 0, 0, 1, 1, 1, 0, 2, 1, 9, 9, 0, 2, 1, 1, 1, 1 ]
[ 9441, 687, 280, 5881, 203, 589, 13296, 520, 44393, 81, 59, 203, 109, 284, 588, 6400, 322, 1244, 706, 1334, 432, 44622, 225, 40, 38, 7030, 328, 225, 40, 38, 3493, 2926, 284, 638, 13768, 81, 2121, 2322, 108, 383, 40, 38, 1788, 284, 18940, 639, 273, 35, 284, 1024, 2840, 273, 36, 30, 25242, 284, 341, 4461, 273, 35, 30, 273, 36, 203, 1255, 203, 589, 13296, 520, 44393, 81, 68, 203, 109, 284, 588, 6400, 322, 1244, 706, 1334, 432, 44622, 225, 40, 38, 7030, 328, 225, 40, 38, 3493, 2926, 284, 638, 13768, 81, 2121, 2322, 108, 383, 40, 38, 1788, 284, 341, 344, 1295, 2834, 30, 225, 34, 203, 1255, 203, 589, 13296, 520, 44393, 81, 63, 203, 109, 284, 588, 6400, 322, 1244, 706, 1334, 432, 44622, 225, 40, 38, 7030, 328, 225, 40, 38, 3493, 2926, 284, 638, 13768, 81, 2121, 2322, 108, 383, 40, 38, 1788, 284, 13538, 273, 35, 30, 7476, 30, 309, 930, 30, 24590, 284, 341, 344, 1295, 273, 35, 30, 225, 34, 203, 1255, 203, 589, 13296, 520, 44393, 81, 66, 203, 109, 284, 588, 6400, 322, 1244, 706, 1334, 432, 44622, 225, 40, 38, 7030, 328, 225, 40, 38, 3493, 2926, 284, 638, 13768, 81, 2121, 2322, 108, 383, 40, 38, 1788, 284, 18940, 639, 273, 41, 284, 13538, 273, 35, 30, 7476, 30, 11318, 1001, 94, 30, 24590, 284, 341, 344, 1295, 273, 35, 30, 225, 34, 203, 1255, 203, 589, 13296, 520, 44393, 81, 31951, 81, 63, 203, 109, 284, 1024, 2840, 273, 35, 30, 225, 34, 30, 706, 1250, 47, 42, 284, 1024, 2840, 273, 36, 30, 225, 34, 30, 706, 1250, 47, 42, 284, 47991, 273, 35, 30, 7476, 30, 309, 930, 30, 24590, 30, 706, 1250, 47, 302, 108, 284, 13538, 273, 36, 30, 7476, 30, 428, 35, 30, 273, 34, 30, 273, 35, 614, 343, 5765, 284, 13538, 273, 35, 30, 7476, 30, 428, 35, 30, 273, 34, 30, 273, 35, 79, 284, 3203, 26045, 81, 1172, 440, 21988, 22273, 2986, 657, 203, 1255, 203, 589, 13296, 520, 44393, 81, 31951, 81, 66, 203, 109, 284, 1024, 2840, 273, 35, 30, 225, 34, 30, 706, 1250, 47, 42, 284, 1024, 2840, 273, 36, 30, 225, 34, 30, 706, 1250, 47, 42, 284, 18940, 639, 273, 41, 30, 706, 1250, 47, 302, 108, 284, 47991, 273, 35, 30, 7476, 30, 11318, 1001, 94, 30, 24590, 30, 706, 1250, 47, 302, 108, 284, 13538, 273, 36, 30, 7476, 30, 428, 35, 30, 273, 34, 30, 273, 35, 614, 343, 5765, 284, 13538, 273, 35, 30, 7476, 30, 428, 35, 30, 273, 34, 30, 273, 35, 79, 284, 3203, 26045, 81, 1172, 440, 21988, 22273, 2986, 657, 203, 1255, 203, 589, 13296, 520, 44393, 81, 31951, 81, 59, 203, 109, 284, 588, 13938, 322, 9844, 9019, 4956, 1991, 312, 3909, 32, 284, 1024, 2840, 273, 36, 30, 25242, 30, 706, 1250, 47, 42, 284, 588, 25636, 963, 322, 1861, 432, 322, 3401, 32, 284, 1024, 2840, 273, 37, 30, 343, 5765, 30, 706, 1250, 47, 42, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20, 2272, 438, 322, 11259, 25233, 12654, 688, 1098, 2779, 821, 5514, 4826, 20, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 308, 284, 23265, 10851, 2413, 7256, 30, 622, 81, 15678, 30, 622, 81, 1423, 81, 4254, 30, 438, 81, 1327, 81, 983, 30, 203, 27, 203, 1070, 8527, 32, 525, 1188, 17874, 11445, 203, 1070, 8527, 32, 2304, 1188, 13178, 203, 1070, 8527, 32, 2304, 32, 2613, 1188, 7841, 81, 36318, 81, 5078, 203, 823, 23265, 11063, 26, 1473, 711, 284, 1789, 81, 7344, 81, 823, 280, 17874, 11445, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 1114, 297, 81, 4189, 81, 4254, 81, 15719, 81, 3985, 280, 3177, 291, 436, 1984, 81, 5607, 328, 622, 81, 15678, 26, 2521, 547, 965, 81, 15719, 44, 324, 415, 6937, 26, 965, 81, 5607, 30, 23265, 10851, 2413, 7256, 711, 400, 630, 1114, 297, 81, 4189, 81, 4254, 81, 15719, 81, 3985, 280, 2933, 400, 1626, 284, 665, 2164, 81, 1357, 26, 784, 30, 1326, 711, 291, 1505, 81, 983, 280, 630, 32, 297, 81, 4189, 81, 4254, 81, 15719, 81, 3985, 346, 291, 2898, 280, 13178, 32, 371, 81, 4189, 81, 1070, 81, 1357, 26, 324, 1326, 30, 1505, 81, 983, 47, 1553, 81, 983, 27, 291, 13178, 32, 11432, 26, 4189, 27, 291, 1326, 32, 34801, 81, 3521, 280, 13178, 32, 371, 81, 4189, 346, 284, 665, 2164, 81, 1986, 26, 784, 30, 1326, 30, 1789, 711, 291, 2898, 280, 13178, 32, 371, 81, 4189, 346, 291, 2898, 81, 1070, 81, 983, 280, 13178, 32, 371, 81, 4189, 81, 1070, 81, 983, 26, 1357, 32, 983, 81, 1338, 27, 291, 415, 308, 1986, 32, 1517, 81, 687, 610, 225, 38, 34, 38, 461, 646, 2898, 81, 1070, 81, 983, 400, 461, 630, 32, 297, 81, 4189, 81, 4254, 81, 15719, 81, 3985, 22805, 324, 1984, 2957, 280, 18623, 26, 1357, 30, 330, 965, 2957, 370, 1665, 27, 324, 2898, 81, 983, 280, 3056, 23, 101, 23, 101, 25, 904, 308, 4189, 30, 1326, 32, 983, 81, 1338, 27, 324, 1519, 81, 1327, 280, 438, 81, 1327, 81, 983, 26, 4189, 81, 983, 30, 1984, 2957, 27, 324, 415, 308, 1206, 1519, 81, 1327, 461, 4070, 32, 18472, 81, 3898, 7877, 528, 461, 646, 2898, 81, 983, 32, 20643, 3247, 41095, 400, 1519, 81, 1327, 280, 438, 81, 1327, 81, 983, 4912, 101, 5681, 904, 2898, 81, 983, 30, 1984, 2957, 27, 324, 415, 1519, 81, 1327, 44, 400, 3261, 81, 4254, 280, 622, 81, 1423, 81, 4254, 346, 400, 2898, 81, 965, 280, 5461, 101, 555, 23, 101, 23, 101, 20, 904, 308, 528, 1326, 32, 13627, 30, 528, 1326, 32, 371, 81, 2035, 1026, 528, 1326, 32, 371, 81, 2620, 81, 983, 922, 3227, 26, 715, 3261, 81, 4254, 30, 715, 6611, 101, 23, 101, 7404, 904, 308, 1423, 81, 4254, 30, 2898, 471, 656, 35, 528, 829, 400, 829, 400, 442, 630, 32, 1986, 81, 7344, 81, 823, 26, 4189, 81, 965, 27, 291, 415, 646, 308, 784, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 5, 6, 6, 5, 5, 8, 8, 8, 9, 8, 7, 7, 7, 5, 5, 5, 7, 9, 10, 10, 10, 9, 9, 10, 10, 10, 9, 7, 7, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 5, 11, 10, 11, 11, 11, 9, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 10, 7, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 5, 5, 9, 8, 8, 10, 11, 10, 10, 12, 12, 12, 10, 10, 6, 6, 9, 9, 8, 8, 11, 11, 11, 11, 11, 9, 9, 11, 10, 10, 11, 12, 12, 12, 10, 6, 6, 9, 9, 8, 8, 10, 10, 10, 10, 10, 11, 11, 11, 10, 10, 11, 10, 6, 6, 7, 11, 11, 12, 12, 10, 10, 11, 12, 12, 12, 12, 9, 9, 9, 10, 13, 13, 12, 13, 12, 14, 7, 7, 11, 11, 10, 10, 12, 12, 12, 12, 12, 15, 15, 13, 13, 14, 14, 12, 12, 13, 12, 6, 6, 7, 8, 8, 7, 7, 7, 11, 11, 10, 10, 12, 12, 12, 12, 12, 8, 8, 11, 11, 10, 10, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 12, 13, 14, 12, 12, 12, 14, 15, 15, 15, 14, 12, 12, 16, 17, 17, 17, 17, 17, 16, 15, 14, 14, 14, 15, 15, 14, 14, 14, 17, 17, 17, 17, 15, 15, 17, 17, 17, 16, 16, 16, 14, 15, 14, 14, 12, 12, 8, 8, 9, 11, 12, 12, 12, 12, 12, 11, 12, 12, 12, 11, 4, 4, 5, 6, 11, 10 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 0, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 3, 3, 3, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 1, 3, 3, 4, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 2, 2, 1, 5, 1, 1, 2, 2, 3, 3, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 0, 0 ]
[ 465, 4134, 203, 465, 2322, 203, 465, 316, 203, 465, 5237, 203, 1070, 26313, 1188, 319, 203, 465, 27374, 203, 465, 3619, 13293, 203, 1070, 3619, 13293, 1188, 296, 1851, 30, 3829, 203, 1070, 3619, 13293, 32, 21051, 1188, 488, 1662, 203, 1070, 3619, 13293, 32, 2516, 1188, 319, 203, 325, 2322, 32, 12757, 32, 371, 463, 9621, 370, 1665, 711, 284, 3583, 280, 2322, 32, 12757, 710, 9621, 785, 203, 1824, 44, 284, 1596, 44, 291, 3583, 280, 3056, 2868, 33, 2425, 15231, 101, 15231, 101, 25, 904, 308, 324, 2322, 32, 12757, 710, 4975, 2188, 4288, 316, 32, 1113, 26, 100, 25, 8169, 34, 37143, 2550, 2322, 32, 12757, 710, 20745, 7698, 284, 2940, 3268, 44, 291, 3097, 203, 9621, 280, 3583, 203, 65, 4409, 280, 225, 34, 106, 34, 34, 203, 65, 3214, 280, 225, 34, 106, 34, 35, 203, 3068, 2591, 280, 225, 34, 106, 34, 36, 203, 65, 14769, 280, 225, 34, 106, 34, 37, 203, 65, 30317, 280, 225, 34, 106, 34, 38, 203, 1194, 6323, 53, 280, 225, 34, 106, 35, 34, 203, 9069, 74, 6142, 280, 225, 34, 106, 36, 34, 203, 758, 18773, 280, 225, 34, 106, 38, 34, 203, 65, 18472, 280, 225, 34, 106, 42, 34, 203, 7789, 81, 56, 779, 280, 225, 34, 203, 823, 15660, 984, 26, 984, 711, 284, 3097, 203, 823, 17292, 924, 26, 984, 711, 284, 3097, 203, 823, 5675, 26, 1473, 711, 284, 32252, 81, 56, 779, 280, 225, 34, 284, 477, 16099, 284, 665, 16533, 26, 4383, 30, 706, 30, 13489, 47, 2521, 30, 15318, 47, 2521, 711, 291, 415, 19326, 26, 4383, 30, 330, 1298, 81, 687, 7831, 324, 3309, 33381, 605, 30, 13489, 30, 15318, 5594, 34, 44, 4383, 32, 1298, 81, 687, 32, 331, 81, 626, 998, 1130, 291, 4348, 20695, 26, 4383, 711, 324, 3309, 26, 605, 27, 284, 665, 1156, 1403, 3207, 784, 711, 291, 442, 630, 284, 665, 1156, 4775, 3207, 784, 30, 319, 1132, 711, 291, 630, 1114, 15276, 346, 284, 665, 1156, 1664, 3207, 784, 30, 4567, 47, 2521, 30, 3583, 47, 2521, 30, 3051, 47, 2521, 711, 291, 415, 646, 4567, 461, 3583, 44, 324, 4567, 280, 330, 16705, 19, 23, 101, 9708, 101, 25, 904, 308, 9621, 30, 3583, 27, 291, 1596, 44, 324, 630, 32, 2135, 19423, 280, 32252, 81, 56, 779, 324, 630, 32, 88, 3631, 280, 739, 346, 324, 630, 32, 809, 280, 559, 4631, 346, 324, 665, 2164, 26, 605, 711, 400, 442, 296, 1851, 32, 56, 1851, 32, 311, 13854, 26, 605, 5594, 35, 79, 324, 630, 32, 21051, 280, 488, 1662, 26, 3781, 30, 2164, 30, 1769, 2142, 47, 36, 39, 40, 27, 324, 5127, 280, 630, 1114, 47245, 1970, 26, 88, 1851, 32, 70, 1648, 26, 1648, 47, 7529, 98, 32, 4530, 30, 345, 891, 47, 40, 39, 39, 37, 39, 490, 324, 415, 5127, 32, 1648, 863, 3619, 13293, 32, 4530, 44, 400, 3636, 15660, 984, 30, 313, 4445, 1330, 24498, 225, 43, 66, 1503, 6611, 101, 7362, 904, 5127, 32, 1648, 324, 630, 32, 874 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 4, 5, 3, 4, 3, 5, 5, 3, 3, 1, 1, 4, 4, 6, 7, 5, 7, 7, 1, 2, 2, 2, 2, 4, 4, 4, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 11, 12, 10, 12, 12, 9, 9, 11, 12, 11, 13, 13, 13, 13, 13, 11, 11, 13, 14, 12, 14, 14, 4, 4, 5, 5, 5, 5, 0, 3, 2, 2, 0, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 5, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 5, 5, 6, 7, 5, 5, 6, 7, 5, 4, 4, 6, 8, 9, 8, 8, 10, 10, 10, 10, 6, 6, 10, 14, 13, 13, 13, 13, 13, 14, 13, 16, 15, 16, 16, 16, 14, 15, 15, 15, 15, 12, 6, 6, 7, 9, 10, 9, 7, 7, 11, 12, 11, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 7, 6, 6, 5, 5, 5, 8, 8, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 10, 10, 10, 4, 4, 5, 5, 5, 9, 10, 10, 8, 8, 9, 9, 9, 6, 6, 9, 10, 10, 8, 8, 10, 6, 6, 9, 10, 8, 8, 10, 10, 6, 6, 7, 8, 9, 8, 7, 7, 9, 14, 13, 14, 14, 12, 13, 13, 12, 13, 12, 11, 10, 6, 6, 9, 10, 8, 8, 10, 10, 11, 10, 10, 10, 10, 12, 11, 12, 12, 12, 10, 6, 6, 8, 8, 10, 11, 11, 10, 13, 13, 12, 13, 13, 12, 14, 13, 15, 15, 14, 15, 12, 12, 14, 13, 14, 14, 14, 14, 14, 12, 6, 6, 7, 9, 10, 8, 8, 10, 9, 10, 7, 7, 7, 9, 11, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 13, 6, 6, 9, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 9, 9, 0, 1, 2, 9, 9, 0, 10, 10, 0, 2, 0, 2, 1, 1, 2, 1, 1, 10, 10, 0, 0, 0, 2, 2, 1, 2, 10, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 5, 1, 2, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 22, 22, 1, 2, 1, 2, 22, 22, 0, 23, 23, 1, 2, 1, 2, 23, 23, 0, 24, 24, 2, 1, 2, 24, 24, 0, 0, 0, 0, 0, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 4, 1, 1, 1, 4, 4, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 4, 4, 3, 1, 1, 1, 2, 2, 1, 2, 3, 3, 0, 2, 1, 4, 4, 4, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 4, 4, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 4, 4, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 3, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 5, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 3, 2, 2, 2, 2, 2, 1, 2, 2, 6, 0, 2, 1, 1, 0, 2, 2, 6, 6, 6, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2 ]
[ 465, 16539, 30, 2322, 30, 6234, 203, 589, 6042, 81, 639, 26, 3225, 711, 284, 1596, 44, 291, 6234, 32, 13246, 81, 20403, 26, 3225, 27, 291, 442, 2933, 3701, 2940, 6234, 32, 731, 44, 291, 442, 3177, 225, 203, 589, 622, 81, 9362, 26, 1295, 711, 284, 1056, 280, 8316, 32, 508, 48275, 346, 284, 415, 2069, 26, 1267, 77, 34, 1130, 48, 34, 44, 291, 442, 1056, 77, 34, 79, 284, 813, 44, 291, 442, 1056, 77, 35, 79, 225, 203, 589, 17487, 464, 26, 2416, 81, 426, 711, 284, 7022, 280, 225, 34, 284, 12497, 280, 438, 81, 2416, 81, 10333, 26, 2416, 81, 426, 27, 284, 2218, 12497, 6901, 34, 44, 291, 5742, 81, 7883, 463, 14046, 10699, 466, 26, 6320, 490, 291, 12497, 280, 438, 81, 2416, 81, 10333, 26, 2416, 81, 426, 27, 291, 7022, 1454, 225, 35, 284, 442, 7022, 203, 589, 5742, 81, 7883, 26, 2501, 30, 1048, 1057, 7831, 284, 442, 5742, 26, 2501, 30, 4465, 47, 1815, 30, 309, 2542, 1909, 735, 47, 1815, 30, 1048, 800, 47, 731, 27, 203, 589, 5742, 81, 7883, 81, 2388, 26, 2501, 30, 12798, 81, 15286, 26409, 1048, 1057, 7831, 284, 2016, 280, 313, 3474, 6757, 466, 26, 9860, 81, 15286, 34607, 523, 12798, 429, 69, 6757, 2501, 284, 442, 5742, 26, 2501, 30, 4465, 47, 1815, 30, 309, 2542, 1909, 735, 47, 1815, 30, 1048, 800, 47, 731, 27, 203, 589, 5742, 26, 2501, 26409, 4465, 47, 1815, 30, 309, 2542, 1909, 735, 47, 2700, 30, 1048, 800, 26409, 1894, 101, 47, 2521, 711, 284, 1596, 44, 291, 415, 308, 101, 2542, 1909, 735, 711, 324, 298, 280, 16539, 32, 45606, 26, 2501, 30, 9073, 47, 1815, 30, 12532, 47, 27958, 32, 18165, 30, 16154, 47, 27958, 32, 18165, 27, 291, 813, 44, 324, 298, 280, 16539, 32, 45606, 26, 1132, 47, 1414, 27, 291, 415, 4465, 44, 324, 298, 32, 1684, 346, 324, 1056, 280, 622, 81, 9362, 26, 98, 27, 324, 442, 1056, 291, 813, 44, 324, 442, 298, 284, 2940, 16539, 32, 9402, 2861, 924, 619, 484, 44, 291, 1459, 463, 924, 30695, 499, 10699, 731, 800, 27, 291, 442, 1048, 800, 284, 2940, 3268, 619, 25598, 44, 291, 1459, 463, 984, 30695, 499, 10699, 4532, 32, 1436, 27, 291, 442, 1048, 800, 203, 589, 438, 81, 2416, 81, 10333, 26, 426, 711, 284, 4774, 280, 330, 1069, 11042, 523, 23455, 10699, 426, 6897, 523, 23455, 429, 104, 14173, 25, 284, 309, 280, 5742, 81, 7883, 26, 3515, 27, 284, 415, 2069, 26, 101, 19162, 34, 44, 291, 442, 225, 34, 284, 813, 44, 291, 273, 280, 309, 32, 2998, 346, 291, 442, 629, 26, 102, 77, 35, 1130, 203, 589, 1505, 81, 9277, 26, 8771, 81, 426, 711, 284, 415, 2069, 26, 1553, 81, 3731, 761, 26, 8771, 81, 426, 490, 379, 34, 44, 291, 1459, 26, 8771, 81, 426, 5667, 15012, 646, 2431, 32, 6400, 3654, 844, 1159, 6713, 6757, 8771, 81, 426, 27, 291, 442, 3177, 284, 442, 2933, 203, 589, 1505, 81, 3731, 761, 26, 3607, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 7, 8, 8, 8, 7, 8, 7, 4, 4, 5, 3, 3, 4, 5, 6, 4, 4, 4, 6, 0, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 7, 6, 2, 2, 3, 6, 8, 7, 8, 7, 4, 5, 3, 3, 3, 5, 6, 7, 6, 3, 3, 4, 4, 4, 6, 7, 8, 7, 0, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 5, 2, 2, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 6, 2, 2, 3, 4, 5, 3, 3, 3, 7, 7, 7, 10, 10, 10, 10, 11, 10, 4, 4, 6, 6, 8, 8, 8, 8, 8, 9, 9, 9, 8, 4, 4, 6, 6, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 5, 1, 1, 3, 5, 6, 5, 5, 6, 7, 5, 5, 7, 7, 7, 6, 7, 5, 5, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 2, 3, 5, 1, 1, 4, 4, 9, 9, 9, 9, 10, 10, 10, 9, 8, 8, 8, 8, 8, 6, 2, 2, 3, 5, 6, 5, 5, 6, 7, 5, 5, 7, 7, 7, 6, 7, 5, 5, 7, 6, 7, 5, 0, 1, 1, 2, 4, 3, 2, 3, 4, 2, 2, 4, 4, 4, 3, 4, 2, 2, 4, 3, 2, 4, 3, 4, 2, 1, 1, 3, 3, 3, 5, 7, 7, 7, 7, 6, 5, 5, 8, 8, 10, 11, 10, 11, 10, 10, 11, 12, 10, 10, 11, 13, 12, 13, 10, 10, 11, 13, 12, 13, 10, 5, 5, 6, 6, 6, 9, 9, 11, 12, 11, 13, 12, 13, 11, 4, 4, 5, 5, 5, 5, 9, 10, 9, 6, 6, 8, 8, 10, 10, 10, 11, 10, 6, 6, 7, 5, 5, 6, 6, 6, 8, 3, 3, 4, 6, 7, 7, 7, 5, 5, 4, 4, 4, 8, 11, 11, 11, 11, 10, 10, 8, 5, 5, 6, 7, 3, 3, 4, 5, 5, 4, 4, 4, 8, 11, 11, 11, 11, 11, 10, 11, 8, 5, 5, 6, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 8, 8, 8, 8, 8, 7, 5, 7, 7, 7, 7, 7, 7, 2, 2, 4, 4, 6, 6, 6, 7, 6, 2, 2, 3, 6, 7, 6, 5, 3, 3, 3, 5, 6, 3, 3, 4, 4, 4, 7, 7, 9, 10, 9, 5, 5, 6, 8, 10, 9, 10, 9, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 6, 8, 8, 8, 8, 8, 9, 9, 9, 8, 4, 5, 3, 3, 3, 7, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 7, 4, 4, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 3, 1, 2, 3, 3, 3, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 4, 4, 4, 0, 1, 2, 1, 0, 0, 3, 3, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 4, 4, 3, 0, 4, 4, 1, 1, 2, 1, 2, 2, 3, 1, 4, 4, 0, 1, 1, 1, 1, 3, 2, 1, 1, 0, 0, 0, 5, 2, 1, 1, 0, 7, 2, 1, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 5, 1, 5, 5, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 3, 2, 1, 1, 0, 0, 0, 5, 2, 1, 1, 0, 7, 2, 1, 0, 6, 6, 2, 0, 1, 2, 3, 2, 2, 2, 0, 0, 0, 5, 2, 2, 2, 0, 7, 2, 0, 9, 2, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 0, 2, 2, 1, 1, 7, 0, 2, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 3, 3, 2, 1, 1, 4, 4, 4, 0, 0, 0, 3, 0, 2, 2, 2, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 1, 1, 0, 0, 4, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 0, 2, 2, 1, 3, 3, 1, 1, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 4, 4, 4, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 8, 8, 1, 1, 2, 1, 1, 1, 2, 8, 8, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 3, 3, 1, 4, 4, 1, 0, 9, 9, 1, 1, 1, 2, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 6436, 619, 2065, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 22508, 81, 6800, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8482, 81, 1040, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1417, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1505, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 3498, 81, 1867, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 7744, 81, 4156, 203, 505, 464, 505, 280, 428, 284, 330, 862, 81, 8786, 81, 1808, 81, 12010, 370, 284, 330, 862, 81, 13049, 370, 284, 330, 862, 81, 13049, 81, 410, 370, 284, 330, 5954, 81, 452, 81, 6800, 81, 271, 81, 15378, 81, 6800, 370, 284, 330, 297, 81, 6800, 370, 284, 330, 8920, 81, 1036, 81, 96, 370, 284, 330, 2546, 81, 101, 535, 11735, 444, 81, 18979, 370, 284, 330, 1793, 81, 3229, 370, 284, 330, 1793, 81, 8786, 81, 3229, 785, 203, 297, 81, 6800, 280, 8482, 81, 1040, 32, 297, 81, 6800, 203, 862, 81, 8786, 81, 1808, 81, 12010, 280, 1505, 81, 4156, 32, 862, 81, 8786, 81, 1808, 81, 12010, 203, 862, 81, 13049, 280, 1505, 81, 4156, 32, 862, 81, 13049, 203, 5954, 81, 452, 81, 6800, 81, 271, 81, 15378, 81, 6800, 280, 308, 284, 22508, 81, 6800, 32, 5954, 81, 452, 81, 6800, 81, 271, 81, 15378, 81, 6800, 27, 203, 589, 11665, 81, 1036, 81, 96, 26, 34471, 30, 636, 47, 2521, 711, 334, 415, 646, 36507, 44, 284, 3636, 10091, 463, 2023, 36507, 3943, 11834, 334, 623, 13714, 32, 426, 81, 3473, 26, 426, 30, 330, 8920, 81, 1036, 81, 96, 370, 36507, 27, 619, 636, 81, 3473, 44, 284, 36507, 280, 428, 291, 7744, 81, 4156, 32, 8920, 81, 1036, 26, 102, 30, 636, 31197, 101, 33, 1036, 25, 904, 273, 32, 520, 32, 426, 27, 436, 273, 328, 36507, 79, 284, 415, 2069, 26, 34471, 27, 610, 225, 35, 44, 397, 442, 36507, 77, 34, 79, 284, 442, 7744, 81, 4156, 32, 669, 81, 96, 26, 34471, 30, 636, 47, 426, 81, 3473, 27, 203, 589, 3345, 81, 101, 535, 11735, 444, 81, 18979, 26, 20283, 30, 6492, 30, 636, 47, 2521, 711, 334, 623, 13714, 32, 426, 81, 3473, 26, 426, 30, 330, 2546, 81, 101, 535, 11735, 444, 81, 18979, 370, 2855, 428, 20283, 30, 6492, 10794, 284, 18679, 280, 13714, 32, 5954, 81, 452, 81, 6800, 26, 20283, 27, 284, 6492, 280, 13714, 32, 5954, 81, 452, 81, 6800, 26, 5919, 27, 284, 18679, 81, 3229, 280, 18679, 32, 371, 81, 3229, 346, 284, 18679, 81, 6557, 280, 18679, 81, 3229, 32, 1442, 16150, 284, 6492, 81, 3229, 280, 6492, 32, 371, 81, 3229, 346, 284, 6492, 81, 6557, 280, 6492, 81, 3229, 32, 1442, 16150, 284, 415, 308, 5919, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 3, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 3, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 4, 3, 3, 3, 5, 7, 9, 9, 9, 9, 2, 2, 3, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 6, 6, 8, 8, 3, 3, 3, 6, 6, 7, 7, 10, 10, 9, 10, 10, 10, 9, 10, 9, 9, 10, 13, 13, 13, 13, 11, 11, 13, 14, 12, 13, 9, 7, 8, 8, 8, 7, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 7, 8, 9, 8, 4, 4, 5, 8, 8, 7, 8, 8, 8, 7, 8, 7, 7, 8, 9, 9, 9, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 1, 1, 3, 7, 8, 8, 8, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 8, 8, 8, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 7, 8, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 7, 8, 8, 4, 4, 5, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 17, 17, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 17, 17, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 3, 3, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 18, 18, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 18, 18, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 6, 0, 0 ]
[ 465, 15798, 203, 1070, 894, 1188, 2193, 203, 465, 2322, 203, 465, 3363, 203, 465, 6234, 203, 465, 1417, 203, 465, 5237, 203, 465, 22045, 32, 1357, 203, 1070, 22045, 32, 1357, 1188, 4448, 30, 8052, 749, 32983, 30, 617, 5866, 81, 48839, 81, 4229, 22330, 81, 3731, 2957, 203, 465, 22045, 32, 731, 203, 823, 394, 20557, 4470, 26, 18986, 32, 7233, 711, 284, 665, 894, 4701, 464, 3207, 784, 711, 291, 436, 2297, 328, 330, 1357, 370, 330, 1986, 370, 330, 2208, 370, 330, 731, 370, 330, 10530, 3922, 950, 324, 1619, 280, 2149, 324, 2299, 463, 1070, 22045, 15231, 101, 1188, 319, 25, 904, 2297, 30, 1619, 27, 324, 3555, 1619, 710, 505, 26354, 505, 785, 324, 415, 2297, 610, 330, 1357, 25, 461, 2322, 32, 426, 610, 330, 566, 950, 400, 1044, 30, 298, 280, 1619, 32, 3235, 463, 965, 36, 20083, 1425, 1619, 32, 3235, 463, 20083, 36, 965, 683, 400, 630, 32, 5299, 26, 103, 3667, 1647, 7642, 330, 566, 965, 36, 983, 683, 400, 630, 32, 5299, 26, 98, 3667, 1647, 7642, 330, 566, 965, 36, 983, 683, 324, 436, 831, 30, 354, 328, 1619, 32, 3028, 2262, 400, 630, 32, 5299, 26, 104, 3667, 1647, 7642, 330, 39362, 15231, 101, 25, 904, 2297, 30, 528, 5461, 100, 438, 23447, 328, 330, 39362, 15231, 101, 25, 1273, 3417, 328, 904, 100, 20, 904, 528, 308, 93, 30, 2297, 30, 354, 3667, 1647, 28154, 284, 665, 894, 81, 43868, 26, 784, 711, 291, 630, 32, 23895, 26, 22239, 30, 22045, 32, 1357, 32, 305, 33786, 30, 330, 713, 30888, 1984, 683, 291, 18146, 280, 2322, 32, 983, 32, 21379, 26, 39362, 32, 1357, 3667, 761, 25566, 3227, 40348, 370, 33774, 291, 415, 2322, 32, 426, 610, 330, 566, 950, 324, 803, 81, 965, 280, 313, 761, 555, 9708, 101, 20, 904, 18146, 291, 813, 44, 324, 803, 81, 965, 280, 313, 761, 555, 23, 101, 20, 904, 18146, 291, 296, 280, 22045, 32, 1357, 32, 305, 33786, 26, 761, 81, 965, 27, 291, 296, 32, 850, 346, 291, 296, 32, 2679, 346, 284, 665, 894, 81, 2208, 81, 525, 81, 668, 26, 784, 711, 291, 3312, 280, 428, 324, 2726, 83, 30, 84, 30, 85, 370, 2107, 83, 370, 330, 84, 370, 330, 85, 16578, 324, 2726, 983, 20, 97, 30, 94, 20, 817, 20, 91, 20, 1282, 30, 2280, 370, 2107, 983, 20, 97, 30, 94, 20, 817, 20, 91, 20, 1282, 370, 330, 2763, 16578, 324, 2726, 83, 30, 323, 30, 313, 85, 392, 313, 86, 392, 313, 87, 30, 88, 392, 485, 30, 420, 370, 1802, 2107, 83, 370, 330, 84, 370, 6113, 85, 21684, 6113, 86, 21684, 6113, 87, 30, 88, 21684, 330, 89, 370, 330, 90, 16578, 324, 2726, 83, 347, 84, 78, 1492, 85, 392, 343, 347, 87, 1736, 30, 88, 392, 485, 347, 90, 11468, 91, 21684, 1802, 2107, 83, 347, 84, 20, 85, 21684, 330, 86, 347, 87, 30, 88, 21684, 330, 89, 347, 90, 1736, 91, 20, 785, 2177, 291, 436, 802, 30, 1149, 328, 3312, 44 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 8, 5, 5, 8, 8, 6, 6, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 9, 9, 9, 6, 6, 7, 8, 10, 10, 10, 10, 6, 6, 7, 9, 9, 11, 11, 8, 8, 10, 11, 9, 9, 11, 11, 7, 7, 11, 11, 10, 10, 13, 14, 13, 15, 15, 15, 15, 11, 13, 14, 13, 15, 15, 15, 15, 8, 8, 11, 12, 11, 13, 12, 13, 13, 11, 13, 13, 13, 13, 13, 8, 8, 11, 12, 11, 13, 12, 13, 13, 11, 13, 13, 13, 13, 13, 6, 6, 7, 8, 8, 7, 7, 9, 10, 9, 7, 7, 11, 12, 11, 13, 12, 13, 13, 11, 14, 14, 14, 14, 12, 12, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 12, 14, 13, 13, 13, 13, 14, 15, 15, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 9, 10, 8, 9, 9, 7, 7, 9, 9, 9, 9, 4, 4, 6, 6, 11, 12, 10, 11, 10, 13, 12, 13, 11, 12, 12, 9, 8, 10, 8, 4, 4, 5, 7, 8, 6, 6, 8, 8, 5, 5, 9, 9, 8, 8, 11, 11, 11, 11, 11, 9, 9, 5, 5, 6, 6, 6, 10, 10, 9, 9, 12, 12, 12, 12, 12, 10, 10, 4, 4, 6, 6, 9, 10, 8, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 8, 11, 11, 9, 11, 11, 9, 11, 11, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 11, 11, 9, 11, 11, 9, 11, 11, 9, 11, 11, 9, 11, 11, 11, 11, 9, 11, 11, 9, 11, 11, 7, 7, 10, 10, 10, 11, 11, 10, 10, 10, 10, 10, 11, 10, 10, 10, 10, 10, 10, 11, 10, 10, 8, 8, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 12, 11, 11, 11, 8, 4, 4, 5, 6, 6, 5, 5, 5 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 1, 2, 0, 8, 8, 1, 2, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 1, 2, 0, 10, 10, 1, 1, 2, 0, 1, 2, 2, 10, 10, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 1, 2, 0, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 5, 5, 2, 1, 1, 1, 1, 2, 5, 5, 3, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 5, 5, 4, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 5, 1, 2, 2, 2, 2, 5, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 3, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 2, 3, 1, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 3, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 7, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 2, 7, 4, 4, 1, 1, 1, 1, 1, 1 ]
[ 1070, 13625, 1188, 31466, 203, 465, 4134, 203, 465, 1133, 203, 465, 6436, 203, 1070, 707, 543, 81, 1580, 32, 1786, 1188, 4226, 203, 1070, 310, 417, 295, 32, 272, 27123, 32, 20603, 1188, 31758, 8770, 203, 1070, 310, 417, 295, 32, 272, 27123, 32, 13049, 1188, 19724, 8770, 203, 1070, 310, 417, 295, 32, 15096, 32, 8231, 81, 22672, 32, 5707, 1188, 9618, 101, 4790, 203, 1070, 11548, 449, 8936, 32, 17042, 81, 34555, 81, 5566, 1188, 3179, 1578, 18344, 872, 1249, 5442, 5017, 203, 1070, 225, 9673, 17535, 32, 3592, 32, 368, 1578, 81, 6546, 81, 5210, 81, 8231, 81, 22672, 1188, 308, 334, 3179, 1578, 11779, 1998, 8536, 13976, 27, 203, 823, 5903, 29922, 3810, 1578, 18344, 872, 1249, 5442, 5017, 26, 334, 3179, 1578, 11779, 1998, 8536, 13976, 30, 3179, 1578, 18344, 872, 1249, 5442, 5017, 711, 3097, 203, 19958, 280, 225, 39, 203, 43388, 280, 225, 35, 34, 203, 823, 14225, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 711, 284, 630, 32, 13023, 280, 31758, 8770, 26, 96, 47, 35, 34, 36, 38, 30, 1378, 341, 47, 36, 35, 27, 284, 630, 32, 24166, 8770, 280, 19724, 8770, 26, 36, 35, 30, 429, 35, 30, 225, 35, 30, 768, 310, 47, 35, 34, 36, 38, 27, 284, 630, 32, 6546, 280, 5903, 29922, 3810, 1578, 18344, 872, 1249, 5442, 5017, 26, 397, 2623, 16485, 6020, 36, 34, 38, 42, 614, 397, 9482, 279, 1612, 16485, 44, 308, 43, 43, 43, 43, 43, 43, 21713, 8572, 12389, 1834, 2137, 47, 35, 30, 397, 2815, 1834, 1588, 942, 47, 34, 32, 39, 30, 397, 9475, 1834, 1588, 942, 47, 34, 32, 40, 30, 397, 1292, 1588, 942, 13817, 47, 34, 32, 35, 30, 397, 1292, 1588, 942, 685, 5339, 47, 34, 32, 34, 36, 30, 397, 1847, 10675, 47, 37, 39, 30, 397, 13226, 10675, 47, 37, 39, 30, 397, 1769, 1812, 16377, 6641, 1534, 47, 38, 34, 27, 284, 630, 32, 3399, 391, 280, 18443, 391, 26, 784, 32, 6546, 30, 2519, 31057, 101, 47, 2700, 30, 2519, 31057, 101, 3354, 47, 2700, 27, 284, 630, 32, 2135, 1078, 280, 1665, 284, 630, 32, 2135, 1711, 280, 1665, 284, 630, 32, 5586, 15884, 5516, 280, 1404, 334, 665, 7652, 26, 784, 30, 1688, 750, 711, 284, 415, 646, 2884, 2645, 20, 328, 1688, 750, 461, 324, 313, 6686, 265, 20, 328, 1688, 750, 711, 397, 1459, 313, 5711, 44, 20871, 706, 9318, 1688, 750, 397, 442, 284, 5657, 280, 1688, 750, 32, 371, 440, 4534, 657, 556, 3177, 284, 415, 5657, 44, 397, 1459, 313, 7326, 3107, 397, 630, 32, 6546, 32, 4534, 346, 284, 3894, 280, 1688, 750, 1365, 2645, 1446, 284, 14680, 265, 280, 1688, 750, 1365, 6686, 265, 1446, 284, 816, 280, 629, 26, 2645, 1365, 106, 1446, 319, 9990, 14348, 27, 284, 1288, 280, 629, 26, 2645, 1365, 108, 1446, 319, 9990, 14348, 27, 284, 12651, 280, 6436, 32, 955, 2009, 106, 30, 1288, 1130, 284, 7328, 280, 630, 32, 13023, 32, 4434, 1162, 20603, 30, 33117, 28996, 490, 284, 22139, 7960 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 10, 9, 10, 10, 10, 10, 8, 8, 8, 9, 10, 10, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 9, 9, 8, 8, 10, 8, 8, 9, 8, 8, 8, 9, 10, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 9, 11, 11, 11, 11, 10, 8, 8, 11, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 11, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 9, 10, 10, 10, 10, 8, 8, 8, 10, 9, 10, 10, 8, 8, 8, 10, 9, 10, 10, 8, 8, 8, 10, 10, 10, 10, 9, 10, 10, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 10, 9, 10, 8, 8, 10, 10, 9, 10, 8, 8, 10, 10, 10, 9, 10, 8, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 5, 4, 3, 3, 5, 6, 11, 11, 9, 9, 10, 8, 8, 8, 11, 11, 11, 9, 9, 10, 7, 5, 5, 7, 9, 9, 9, 9, 9, 7, 8, 6, 6, 4, 4, 6, 6, 10, 9, 10, 9, 11, 11, 7, 7, 4, 4, 5, 5, 5, 5, 7, 9, 9, 6, 6, 10, 11, 9, 10, 9, 4, 4, 6, 6, 8, 7, 9, 9, 4, 4, 7, 6, 6, 8, 7, 9, 9, 9, 4, 4, 6, 6, 8, 11, 10, 12, 12, 9, 9, 10, 8, 4, 4, 6, 6, 8, 11, 10, 12, 12, 9, 9, 10, 8, 4, 4, 6, 6, 8, 9, 8, 10, 9, 9, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 9, 9, 10, 9, 4, 4, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 5, 5, 0, 0, 1, 2, 2, 1, 4, 5, 5, 0, 0, 6, 6, 0, 0, 1, 2, 2, 1, 4, 6, 6, 0, 0, 7, 7, 0, 0, 1, 2, 1, 4, 4, 4, 1, 6, 7, 7, 0, 0, 0, 8, 8, 0, 0, 1, 2, 2, 2, 2, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 10, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 13, 13, 2, 1, 2, 13, 13, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 3, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 7, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 4, 2, 1, 1, 1, 0, 0, 0, 6, 2, 2, 2, 1, 1, 1, 0, 0, 0, 8, 2, 2, 2, 1, 1, 1, 0, 0, 0, 10, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 12, 2, 2, 2, 2, 1, 1, 1, 0, 14, 2, 2, 1, 1, 1, 0, 16, 2, 2, 1, 1, 1, 0, 0, 0, 0, 18, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 0, 0, 0, 5, 2, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 3, 3, 3, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 4, 4, 2, 2, 2, 2, 0, 1, 1, 3, 3, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 4, 4, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0 ]
[ 1840, 4785, 81, 106, 40097, 81, 10850, 81, 106, 40097, 81, 2929, 280, 330, 56, 31876, 25, 203, 1840, 4785, 81, 106, 40097, 81, 10850, 81, 625, 81, 2171, 261, 280, 225, 35, 203, 106, 40097, 81, 2833, 280, 17021, 203, 106, 40097, 81, 35558, 81, 2620, 81, 983, 280, 3037, 2958, 1461, 1569, 4882, 33, 2243, 33, 1840, 4785, 33, 10850, 33, 13204, 33, 106, 40097, 81, 35558, 33, 9539, 81, 35558, 32, 978, 20, 1481, 203, 106, 40097, 81, 2929, 81, 452, 81, 5784, 280, 330, 74, 40097, 36065, 25, 225, 203, 106, 40097, 81, 2929, 81, 452, 81, 2714, 81, 7621, 280, 330, 2948, 3437, 25, 225, 203, 5655, 335, 304, 81, 1525, 385, 81, 2620, 81, 983, 280, 3037, 2958, 1461, 1569, 858, 33, 2243, 33, 1840, 4785, 33, 10850, 33, 13204, 33, 5655, 335, 304, 81, 1525, 385, 33, 9539, 81, 5655, 335, 304, 81, 1525, 385, 32, 978, 20, 1481, 203, 5655, 335, 304, 81, 1525, 385, 81, 4432, 81, 1286, 280, 1524, 20282, 623, 322, 2677, 398, 3539, 2993, 203, 106, 40097, 81, 525, 81, 2929, 81, 639, 81, 56, 31876, 351, 280, 313, 35, 43, 36, 32, 35, 40, 42, 32, 39, 34, 32, 35, 37, 42, 20, 203, 106, 40097, 81, 525, 81, 2929, 81, 625, 81, 56, 31876, 647, 280, 225, 42, 34, 203, 106, 40097, 81, 525, 81, 2929, 81, 725, 81, 56, 31876, 958, 280, 3330, 203, 106, 40097, 81, 4432, 81, 1286, 81, 56, 31876, 280, 1524, 470, 2101, 429, 3883, 203, 470, 29231, 429, 625, 2267, 203, 669, 3033, 429, 2705, 225, 35, 429, 761, 398, 3539, 203, 5747, 429, 98, 225, 35, 203, 4775, 203, 2993, 203, 30926, 81, 1840, 7199, 81, 965, 280, 5881, 641, 555, 1499, 32, 1840, 4785, 32, 286, 27408, 32, 307, 33, 1840, 7199, 33, 30926, 34, 33, 893, 32, 3072, 9592, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5237, 30, 622, 2215, 30, 16672, 203, 1070, 831, 1373, 604, 32, 1580, 1188, 1224, 1373, 604, 1486, 203, 465, 2361, 203, 589, 2454, 76, 22961, 2031, 26, 6363, 30, 14586, 711, 284, 1541, 280, 2430, 464, 81, 13606, 31267, 6363, 710, 1580, 785, 22011, 23658, 33, 6624, 3137, 20, 284, 415, 26047, 32, 4658, 26, 1251, 711, 291, 706, 30, 6314, 280, 26047, 32, 371, 26, 1251, 27, 291, 594, 2007, 280, 706, 32, 5460, 440, 3310, 31, 42, 657, 291, 1459, 313, 3595, 1288, 22961, 3488, 9318, 92, 2007, 291, 594, 280, 2361, 32, 12474, 26, 92, 2007, 27, 291, 436, 1202, 328, 594, 44, 324, 6410, 77, 678, 79, 280, 594, 77, 678, 79, 203, 589, 18189, 1243, 26, 1132, 30, 6175, 30, 14586, 711, 284, 1541, 280, 2430, 464, 81, 13606, 31267, 1132, 32, 1580, 22011, 2269, 878, 20, 284, 1459, 313, 7952, 1741, 1542, 328, 1288, 604, 479, 462, 821, 1541, 3003, 1251, 2360, 623, 706, 3003, 6175, 284, 415, 26047, 32, 4658, 26, 1251, 711, 291, 26047, 32, 470, 26, 1251, 30, 6175, 27, 284, 813, 44, 291, 26047, 32, 1297, 26, 1251, 30, 6175, 30, 2682, 983, 47, 1815, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 4118, 280, 16672, 32, 26633, 26, 15446, 1057, 470, 31, 1580, 31, 1163, 683, 284, 4118, 32, 669, 81, 2669, 12605, 108, 370, 11363, 35098, 370, 3049, 1057, 35098, 17758, 370, 2129, 47, 1815, 27, 284, 4118, 32, 669, 81, 2669, 12664, 1580, 3818, 370, 3049, 1057, 1580, 2677, 636, 370, 1244, 12672, 10923, 657, 284, 2181, 280, 4118, 32, 2208, 81, 1132, 346, 284, 6410, 280, 14447, 26, 1132, 27, 284, 26047, 280, 1224, 1373, 604, 1486, 26, 15934, 47, 1132, 32, 35098, 27, 284, 26047, 32, 1366, 346, 284, 436, 1628, 328, 5237, 32, 21633, 44, 291, 1628, 280, 1628, 32, 38848, 346, 291, 8710, 280, 1628, 32, 2998, 346, 291, 415, 2069, 26, 10031, 27, 610, 225, 37, 461, 646, 1628, 32, 15990, 4120, 10280, 324, 12462, 280, 8710, 77, 34, 997, 2998, 35052, 324, 1541, 280, 8710, 77, 35, 79, 324, 786, 280, 8710, 77, 36, 79, 324, 1459, 313, 608, 6056, 20, 324, 1459, 8710, 77, 34, 614, 1251, 2360, 396, 392, 853, 324, 436, 2043, 328, 12462, 44, 400, 1541, 1486, 280, 1541, 32, 3227, 26, 1132, 32, 1580, 3818, 30, 1580, 27, 400, 786, 1486, 280, 786, 32, 3227, 26, 1132, 32, 1580, 3818, 30, 1580, 27, 400, 1459, 313, 336, 20, 400, 1459, 1541, 1486, 400, 1459, 786, 1486, 400, 415, 26047, 32, 4658, 26, 1251, 1486, 711, 528, 26047, 32, 470, 26, 1251, 1486, 30, 853, 1486, 27, 400, 813, 44, 528, 26047, 32, 1297, 26, 1251, 1486, 30, 853, 1486, 30, 2682, 983, 47, 1815, 27, 284, 26047, 32, 4048, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 4, 4, 8, 8, 8, 8, 8, 7, 9, 9, 5, 7, 7, 7, 7, 7, 2, 2, 3, 5, 6, 5, 6, 5, 3, 3, 7, 7, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 7, 7, 7, 7, 7, 6, 6, 4, 4, 6, 6, 8, 9, 8, 9, 9, 8, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 9, 8, 8, 9, 10, 9, 0, 1, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1, 1, 4, 4, 8, 8, 8, 8, 8, 7, 8, 5, 7, 7, 7, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 4, 2, 2, 3, 5, 6, 5, 6, 5, 3, 3, 7, 8, 7, 8, 7, 8, 7, 3, 3, 4, 4, 4, 8, 9, 8, 9, 8, 9, 8, 10, 10, 9, 10, 8, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 9, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 5, 6, 8, 8, 8, 5, 6, 7, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 5, 6, 8, 8, 8, 8, 5, 6, 8, 8, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 6, 6, 6, 8, 7, 9, 8, 9, 6, 2, 2, 5, 6, 5, 2, 2, 3, 3, 3, 4, 5, 3, 3, 3, 6, 6, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 4, 4, 5, 9, 10, 9, 7, 7, 8, 6, 6, 7, 9, 10, 9, 11, 5, 5, 8, 8, 11, 12, 11, 11, 10, 6, 6, 8, 8, 9, 10, 9, 6, 6, 8, 8, 9, 10, 9, 6, 6, 7, 9, 9, 9, 6, 6, 7, 8, 9, 8, 8, 7, 9, 9, 8, 6, 6, 7, 7, 7, 7, 7, 7, 11, 10, 10, 12, 13, 12, 14, 13, 14, 14, 12, 13, 12, 8, 8, 11, 10, 10, 12, 13, 12, 14, 13, 14, 14, 12, 13, 12, 8, 8, 9, 11, 11, 8, 8, 9, 10, 8, 8, 9, 10, 8, 8, 9, 11, 12, 11, 12, 12, 11, 9, 9, 13, 14, 13, 14, 14, 13, 14, 14, 13, 9, 9, 10, 10, 10, 14, 15, 14, 15, 15, 14, 15, 15, 14, 16, 16, 15, 16, 14, 2, 2, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 3, 3, 1, 1, 1, 2, 1, 2, 3, 2, 3, 3, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 4, 4, 4, 4, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 0, 4, 4, 1, 2, 1, 2, 3, 2, 5, 2, 4, 4, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 7, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 3, 1, 2, 2, 4, 4, 4, 0, 2, 1, 1, 1, 3, 1, 0, 0, 5, 2, 1, 0, 5, 5, 0, 0, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 2, 1, 7, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 3, 3, 0, 2, 1, 3, 3, 7, 7, 7, 3, 2, 7, 7, 7, 0, 0, 0, 2, 1, 5, 5, 0, 0, 0, 2, 1, 5, 5, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 3, 3, 0, 0, 2, 2, 2, 3, 3, 0, 0, 2, 2, 2, 3, 3, 3, 1, 1, 2, 3, 3, 4, 1, 2, 1, 3, 4, 1, 2, 7, 3, 3, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 3, 1, 5, 5, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 3, 1, 5, 5, 2, 1, 2, 5, 5, 3, 1, 5, 5, 4, 1, 5, 5, 5, 0, 2, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 3, 3, 1, 5, 5, 4, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 1, 0, 0, 5, 2, 1, 3, 3, 0, 2, 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 ]
[ 465, 5237, 203, 465, 2361, 203, 465, 3772, 5068, 2059, 30, 281, 5123, 203, 823, 15239, 26, 1761, 5068, 2059, 32, 1761, 5068, 29949, 711, 284, 665, 745, 81, 3705, 26, 784, 711, 291, 2234, 280, 281, 5123, 32, 1176, 3566, 26, 324, 11828, 47, 784, 32, 100, 761, 30, 324, 4826, 47, 784, 32, 5078, 30, 324, 16277, 1279, 400, 330, 7921, 81, 9544, 950, 330, 3705, 370, 400, 330, 11844, 81, 2319, 950, 630, 32, 5078, 710, 1777, 31, 620, 2188, 324, 320, 291, 829, 291, 630, 32, 2714, 81, 1986, 26, 36, 34, 36, 27, 291, 630, 32, 2714, 81, 2111, 463, 1777, 31, 620, 370, 330, 3164, 33, 1260, 683, 291, 630, 32, 2714, 81, 2111, 463, 2798, 370, 330, 2679, 683, 291, 630, 32, 416, 81, 5078, 346, 291, 415, 630, 32, 983, 610, 3056, 13775, 33, 890, 33, 950, 324, 225, 513, 625, 280, 2361, 32, 944, 26, 599, 710, 761, 5695, 761, 27, 324, 623, 2156, 26, 784, 32, 2853, 81, 513, 625, 30, 330, 105, 683, 619, 23818, 44, 400, 2361, 32, 5937, 26, 513, 625, 30, 23818, 30, 10525, 47, 36, 27, 324, 1789, 280, 301, 400, 330, 84, 349, 917, 950, 330, 40, 43, 35, 2161, 42, 36, 38, 87, 37, 87, 34, 41, 38, 39, 41, 35, 39, 40, 35, 36, 39, 40, 37, 40, 87, 42, 40, 85, 39, 34, 36, 41, 43, 87, 36, 43, 38, 43, 40, 370, 400, 330, 38266, 81, 452, 950, 428, 528, 2149, 400, 2505, 400, 330, 1267, 950, 3177, 324, 320, 291, 813, 44, 324, 623, 2156, 26, 784, 32, 2853, 81, 513, 625, 30, 330, 105, 683, 619, 23818, 44, 400, 23818, 32, 1821, 463, 2367, 5790, 81, 1357, 81, 983, 563, 5461, 101, 3612, 25, 904, 630, 32, 983, 27, 324, 442, 291, 2361, 32, 5937, 26, 1986, 30, 630, 32, 105, 761, 30, 10525, 47, 36, 27, 203, 3624, 280, 225, 35, 36, 37, 38, 39, 203, 1216, 313, 811, 7172, 821, 2601, 392, 15881, 203, 1972, 32, 2853, 81, 513, 625, 280, 5237, 32, 6118, 77, 35, 79, 415, 2069, 26, 3731, 32, 6118, 27, 848, 225, 35, 813, 330, 513, 625, 32, 1260, 25, 203, 37332, 280, 3772, 5068, 2059, 32, 5068, 2059, 26146, 35, 36, 41, 32, 34, 32, 34, 32, 35, 392, 15881, 471, 15239, 27, 203, 37332, 32, 6455, 81, 1444, 424, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 4, 4, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 8, 9, 9, 8, 8, 8, 9, 11, 10, 11, 11, 8, 8, 8, 9, 11, 10, 11, 8, 8, 8, 9, 10, 10, 13, 13, 13, 13, 11, 13, 13, 10, 10, 13, 13, 13, 13, 11, 13, 14, 12, 14, 14, 14, 14, 10, 10, 8, 8, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 4, 4, 7, 8, 8, 8, 7, 4, 4, 5, 7, 8, 6, 6, 8, 8, 8, 8, 8, 5, 5, 9, 9, 8, 8, 10, 11, 10, 13, 12, 14, 14, 12, 10, 6, 6, 7, 12, 14, 13, 14, 14, 14, 14, 12, 12, 14, 14, 10, 10, 7, 7, 7, 11, 12, 11, 12, 12, 11, 11, 11, 11, 12, 13, 11, 6, 6, 8, 8, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 12, 12, 10, 11, 11, 11, 11, 9, 9, 12, 12, 10, 9, 9, 5, 5, 6, 6, 6, 8, 13, 15, 14, 15, 15, 15, 15, 13, 13, 15, 15, 11, 11, 8, 8, 8, 12, 13, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 14, 15, 12, 7, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 9, 7, 7, 8, 9, 7, 0, 3, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 1, 0, 4, 3, 4, 4, 4, 4, 2, 2, 5, 6, 4, 5, 4, 3, 3, 6, 8, 7, 8, 6, 4, 4, 5, 3, 3, 5, 5, 5, 5, 5, 0, 3, 2, 2, 5, 5, 4, 5, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 4, 4, 0, 4, 3, 4, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 3, 3, 2, 0, 0, 0, 1, 2, 2, 2, 2, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 3, 0, 2, 2, 1, 1, 1, 5, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 4, 4, 5, 0, 2, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 3, 3, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 3, 3, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 5, 5, 4, 4, 4, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 5, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 5, 5, 1, 1, 1, 1, 2, 5, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 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 ]
[ 823, 7703, 4216, 5756, 26, 1473, 711, 284, 47459, 2893, 280, 540, 9592, 284, 2075, 44, 397, 2503, 81, 34106, 81, 15934, 44, 291, 636, 44, 7914, 20434, 17758, 291, 3048, 44, 313, 9596, 372, 3498, 25941, 20434, 2899, 33, 2035, 3276, 328, 312, 2899, 20, 291, 827, 44, 1560, 291, 1244, 44, 9155, 291, 4533, 44, 616, 429, 636, 44, 46666, 81, 23029, 17774, 81, 8472, 69, 324, 12687, 44, 1090, 6916, 44, 4706, 4886, 2876, 313, 37632, 14507, 15659, 5202, 884, 12687, 1090, 1503, 44, 313, 36, 32, 35, 36, 20, 1090, 31786, 44, 322, 313, 37632, 14507, 81, 20745, 81, 23029, 17774, 81, 8472, 69, 20, 4706, 2677, 616, 429, 636, 44, 31850, 14507, 81, 20745, 81, 23029, 17774, 81, 8472, 69, 291, 17918, 44, 616, 429, 1202, 44, 2503, 81, 34106, 81, 15934, 324, 4169, 44, 10071, 397, 2503, 81, 1253, 81, 15934, 44, 291, 636, 44, 7914, 330, 1253, 25, 17758, 291, 3048, 44, 313, 9596, 372, 3498, 25941, 330, 1253, 25, 2899, 33, 2035, 3276, 328, 312, 2899, 20, 291, 827, 44, 1560, 291, 1244, 44, 9155, 291, 4533, 44, 616, 429, 636, 44, 31850, 14507, 81, 20745, 81, 2950, 81, 8472, 69, 291, 17918, 44, 616, 429, 1202, 44, 2503, 81, 1253, 81, 15934, 324, 4169, 44, 10071, 291, 1503, 81, 11043, 44, 330, 36, 32, 41, 25, 397, 2503, 81, 7815, 81, 8228, 44, 291, 636, 44, 4417, 46461, 436, 3803, 461, 36878, 8253, 291, 3048, 44, 313, 9596, 372, 3498, 4946, 3803, 461, 36878, 8253, 884, 11067, 372, 46461, 308, 4849, 32, 3849, 24946, 4731, 291, 827, 44, 1560, 291, 1244, 44, 1289, 291, 4533, 44, 616, 429, 636, 44, 31850, 14507, 81, 20745, 81, 10815, 81, 14172, 2203, 291, 17918, 44, 616, 429, 1202, 44, 2503, 81, 7815, 81, 8228, 324, 4169, 44, 10071, 291, 1503, 81, 11043, 44, 330, 36, 32, 41, 25, 397, 2519, 81, 2988, 81, 5136, 44, 291, 636, 44, 7914, 3115, 8616, 291, 3048, 44, 330, 2272, 10476, 322, 3115, 8616, 739, 4729, 322, 739, 81, 5136, 3973, 372, 322, 4654, 316, 3625, 25, 291, 827, 44, 1560, 291, 1244, 44, 1289, 291, 4533, 44, 616, 429, 636, 44, 31850, 14507, 81, 19415, 81, 19163, 81, 26108, 291, 17918, 44, 616, 429, 1202, 44, 2519, 81, 2988, 81, 5136, 324, 4169, 44, 10071, 203, 9592, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1070, 1245, 2609, 1188, 7139, 203, 1070, 30902, 32, 494, 1188, 316, 9430, 203, 1070, 35078, 32, 2304, 32, 5136, 1188, 475, 9072, 2424, 203, 978, 88, 7963, 280, 7139, 4064, 426, 8223, 203, 823, 506, 694, 265, 22151, 44, 284, 12682, 81, 18142, 69, 81, 42061, 280, 301, 276, 35, 44, 225, 34, 30, 261, 276, 36, 44, 225, 35, 36, 30, 261, 276, 38, 44, 225, 40, 30, 261, 276, 39, 44, 225, 37, 30, 10065, 320, 284, 3042, 14024, 81, 4804, 81, 42061, 280, 301, 276, 35, 44, 225, 34, 30, 261, 276, 36, 44, 225, 38, 34, 34, 34, 30, 261, 276, 38, 44, 225, 40, 34, 34, 34, 30, 261, 276, 39, 44, 225, 36, 34, 34, 34, 34, 30, 10065, 320, 284, 665, 1156, 1664, 3207, 784, 30, 5744, 711, 291, 630, 3667, 7469, 280, 5744, 291, 630, 32, 7469, 779, 280, 5744, 32, 779, 415, 5744, 438, 646, 1665, 813, 1665, 291, 630, 32, 2480, 280, 3177, 291, 630, 32, 1832, 346, 284, 477, 268, 9430, 284, 665, 3219, 26, 784, 711, 291, 630, 3667, 7469, 280, 1665, 291, 415, 630, 32, 7469, 779, 44, 324, 630, 3667, 7469, 280, 2354, 1162, 106, 436, 816, 328, 630, 32, 36479, 265, 32, 1094, 32, 16423, 32, 2810, 346, 415, 816, 32, 779, 610, 630, 32, 7469, 779, 471, 1665, 27, 324, 415, 630, 3667, 7469, 438, 1665, 44, 400, 3619, 88, 7963, 32, 731, 440, 5559, 308, 314, 44, 301, 34, 1748, 1957, 646, 2307, 392, 630, 32, 7469, 779, 27, 400, 442, 291, 630, 32, 1832, 346, 284, 665, 1968, 26, 784, 711, 291, 3097, 284, 477, 2433, 284, 665, 5744, 26, 784, 711, 291, 442, 630, 3667, 7469, 284, 477, 2433, 284, 665, 636, 26, 784, 711, 291, 442, 630, 3667, 7469, 32, 32110, 463, 15694, 683, 556, 630, 3667, 7469, 32, 426, 284, 477, 2433, 284, 665, 5601, 5419, 26, 784, 711, 291, 442, 630, 3667, 7469, 32, 32110, 463, 4254, 683, 284, 477, 2433, 284, 665, 44922, 15028, 26, 784, 711, 291, 5601, 280, 19436, 15028, 24196, 2296, 1643, 26, 784, 32, 2437, 5419, 27, 291, 442, 5601, 328, 630, 32, 36479, 265, 32, 1094, 9850, 5086, 556, 630, 32, 36479, 265, 32, 13218, 438, 646, 1665, 284, 477, 2433, 284, 665, 26631, 26, 784, 711, 291, 442, 630, 3667, 7469, 32, 32110, 463, 33403, 683, 284, 477, 2433, 284, 665, 1401, 2659, 3838, 26, 784, 711, 291, 442, 630, 3667, 7469, 32, 32110, 463, 2040, 2659, 3838, 683, 284, 477, 2433, 284, 665, 17078, 1043, 26, 784, 711, 291, 442, 630, 32, 371, 24929, 1043, 346, 284, 665, 622, 24929, 1043, 26, 784, 30, 26182, 1189, 13800, 47, 2521, 711, 291, 415, 26182, 1189, 13800, 438, 646, 1665, 44, 324, 26182, 1189, 13800, 280, 1769, 26, 784, 32, 1516, 1189, 13800, 30, 26182, 1189, 13800, 27, 291, 813, 44, 324, 26182, 1189, 13800, 280, 630, 32, 1516, 1189, 13800, 291, 316, 3902, 81, 1003, 280, 308, 784, 32, 613, 14024, 81, 4804, 81, 42061, 77, 784, 32, 36479, 265, 32, 371 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 1, 5, 5, 5, 5, 5, 4, 4, 5, 7, 6, 6, 7, 5, 5, 5, 7, 6, 6, 7, 7, 5, 5, 5, 7, 6, 6, 7, 5, 5, 5, 7, 6, 6, 7, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 4, 4, 5, 7, 6, 6, 7, 5, 5, 5, 7, 6, 6, 7, 7, 7, 7, 5, 5, 5, 7, 6, 6, 7, 7, 7, 7, 5, 5, 5, 7, 6, 6, 7, 7, 7, 7, 7, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 8, 9, 7, 7, 8, 8, 8, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 7, 2, 2, 5, 5, 3, 3, 4, 5, 6, 5, 4, 4, 8, 9, 7, 7, 5, 5, 6, 7, 8, 8, 6, 6, 6, 10, 11, 9, 9, 11, 13, 12, 13, 13, 13, 18, 19, 19, 17, 18, 16, 17, 15, 16, 15, 12, 13, 15, 16, 14, 14, 15, 16, 16, 12, 11, 11, 7, 7, 8, 10, 11, 9, 9, 8, 8, 8, 13, 13, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 13, 14, 14, 12, 9, 9, 5, 5, 8, 9, 8, 2, 2, 3, 4, 5, 4, 3, 3, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 10, 11, 9, 10, 9, 11, 11, 7, 7, 9, 10, 8, 9, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 9, 10, 8, 9, 8, 10, 10, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 7, 7, 11, 11, 11, 10, 9, 11, 10, 11, 11, 9, 5, 5, 6, 8, 8, 10, 11, 11, 9, 10, 10, 10, 7, 7, 10, 11, 11, 9, 10, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 9, 10, 8, 9, 8, 10, 10, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 7, 7, 6, 6, 6, 5, 5, 5, 9, 9, 8, 8, 10, 12, 11, 12, 12, 12, 10, 10, 11, 11, 10, 5, 5, 6, 6, 6, 10, 10, 9, 9, 10, 11, 11, 11, 4, 4, 7, 7, 7, 6, 6, 12, 11, 12, 12, 12, 12, 12, 12, 10, 14, 13, 14, 14, 12, 13 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 4, 4, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 3, 3, 2, 2, 2, 2, 2, 0, 5, 5, 2, 2, 2, 2, 0, 7, 7, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 3, 3, 2, 2, 2, 2, 2, 2, 2, 0, 5, 5, 2, 2, 2, 2, 2, 2, 2, 0, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 1, 3, 3, 1, 1, 3, 3, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 4, 4, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 3, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 3, 3, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 1, 3, 3, 4, 4, 0, 2, 1, 3, 3, 4, 2, 1, 2, 4, 4, 3, 3, 1, 5, 5, 1, 2, 1, 2, 1, 1, 0, 1, 2, 3, 3, 1, 6, 6, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 3, 3, 1, 7, 7, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 3, 3, 1, 8, 8, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 3, 3, 1, 9, 9, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 3, 3, 1, 10, 10, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 3, 3, 1, 11, 11, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 3, 3, 12, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 12, 12, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2 ]
[ 1070, 8527, 32, 858, 1188, 7155, 7233, 203, 1070, 4377, 2304, 1188, 4705, 203, 29635, 81, 8881, 280, 301, 284, 330, 29635, 34, 35, 950, 313, 35, 4572, 2163, 1932, 3328, 24, 4572, 17942, 3328, 37, 4572, 2163, 3100, 3328, 81, 4572, 17942, 3328, 392, 284, 330, 29635, 34, 36, 950, 313, 4572, 2026, 330, 29635, 34, 35, 25, 47407, 3486, 313, 4572, 2163, 1932, 3328, 36, 4572, 17942, 39227, 2163, 3100, 3328, 38, 4572, 17942, 3328, 392, 284, 330, 29635, 34, 37, 950, 313, 4572, 2026, 330, 29635, 34, 36, 25, 3328, 392, 284, 330, 29635, 34, 38, 950, 313, 4572, 2026, 330, 29635, 34, 35, 25, 3328, 392, 284, 330, 29635, 34, 39, 950, 313, 4572, 2026, 330, 29635, 34, 36, 25, 3328, 392, 284, 330, 29635, 34, 40, 950, 313, 4572, 2026, 9214, 3328, 392, 284, 330, 29635, 34, 41, 950, 313, 4572, 2026, 330, 29635, 34, 35, 25, 39227, 2163, 3100, 3328, 39, 4572, 17942, 3328, 392, 284, 330, 29635, 34, 42, 950, 313, 4572, 2026, 330, 29635, 34, 36, 25, 39227, 2163, 3100, 3328, 39, 4572, 17942, 3328, 392, 284, 330, 29635, 34, 43, 950, 313, 4572, 2026, 330, 29635, 34, 38, 25, 3328, 392, 284, 330, 29635, 35, 34, 950, 313, 4572, 2026, 330, 29635, 34, 38, 25, 3328, 647, 3003, 284, 330, 29635, 35, 35, 950, 313, 4572, 2026, 330, 29635, 34, 38, 25, 47407, 3486, 313, 4572, 2163, 1932, 3328, 36, 4572, 17942, 39227, 2163, 3100, 3328, 38, 4572, 17942, 3328, 392, 284, 330, 29635, 35, 36, 950, 313, 4572, 2026, 330, 29635, 34, 41, 25, 39227, 2163, 1932, 3328, 36, 4572, 17942, 3328, 392, 284, 330, 29635, 35, 37, 950, 313, 4572, 2026, 330, 29635, 34, 36, 25, 47407, 3486, 313, 4572, 2163, 1932, 3328, 83, 4572, 17942, 39227, 2163, 3100, 3328, 84, 4572, 17942, 3328, 392, 284, 330, 29635, 35, 38, 950, 313, 4572, 2026, 330, 29635, 34, 35, 25, 39227, 2163, 537, 1521, 3328, 2576, 46666, 4572, 17942, 3328, 392, 284, 330, 29635, 35, 39, 950, 313, 4572, 2026, 330, 29635, 34, 35, 25, 47407, 3486, 313, 4572, 2163, 1932, 3328, 36, 4572, 2163, 8267, 3328, 3369, 4572, 17942, 39227, 17942, 3328, 392, 284, 330, 29635, 35, 40, 950, 313, 4572, 2026, 330, 29635, 35, 39, 25, 39227, 2163, 8267, 3328, 541, 4572, 17942, 3328, 392, 284, 330, 29635, 35, 41, 950, 313, 4572, 2454, 894, 3963, 39227, 2163, 1932, 3328, 35, 36, 37, 38, 4572, 17942, 3328, 392, 284, 330, 29635, 35, 42, 950, 313, 4572, 2454, 894, 3963, 39227, 2248, 458, 688, 322, 2455, 3328, 39, 40, 41, 42, 392, 284, 330, 29635, 35, 43, 950, 313, 4572, 2026, 330, 29635, 34, 35, 25, 47407, 3486, 313, 4572, 2163, 1932, 39227, 2454, 894, 3963, 39227, 2248, 225, 38, 34, 34, 3328, 39, 40, 41, 42, 4572, 17942, 3328, 392, 284, 330, 29635, 36, 34, 950, 313, 4572, 2026, 330, 29635, 34, 35, 25, 39227, 2163, 1932, 3328, 1656, 2163, 32, 5266, 2038, 83, 4572, 17942, 3328, 392, 284, 330, 29635, 36, 35, 950, 313, 4572, 2026, 330, 29635, 34 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 11, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 17, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 21, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 23, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 25, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 27, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 29, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 31, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 33, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 35, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 37, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 39, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 41, 1, 1, 1, 1, 1 ]
[ 465, 1532, 203, 1070, 894, 32, 858, 81, 3592, 1188, 9541, 203, 573, 10407, 280, 2107, 1192, 10884, 81, 40933, 81, 2930, 370, 330, 726, 7278, 370, 330, 40933, 81, 779, 370, 203, 25, 40933, 81, 4530, 370, 330, 24191, 370, 330, 7278, 3195, 81, 2930, 370, 330, 7278, 3195, 81, 63, 16770, 81, 24191, 370, 203, 25, 7278, 3195, 81, 18174, 19563, 370, 330, 7278, 23512, 81, 9238, 81, 23995, 370, 330, 7278, 23512, 81, 28394, 81, 19563, 370, 203, 25, 7278, 23512, 81, 27233, 3285, 1438, 370, 330, 7278, 23512, 81, 16290, 1844, 81, 18340, 10209, 370, 330, 7278, 23512, 81, 1305, 1706, 20374, 370, 203, 25, 7278, 23512, 81, 63, 16770, 81, 21199, 81, 59, 370, 330, 7278, 23512, 81, 63, 16770, 81, 21199, 81, 7121, 370, 330, 7278, 23512, 81, 18340, 10209, 370, 203, 25, 10448, 370, 330, 10448, 1918, 370, 330, 10448, 620, 370, 330, 6904, 2207, 558, 370, 203, 25, 13727, 81, 40933, 81, 2474, 370, 330, 13727, 81, 40933, 81, 2319, 370, 330, 13727, 81, 10322, 81, 3364, 370, 203, 25, 13727, 81, 21547, 370, 330, 13727, 81, 8451, 1392, 370, 330, 13727, 81, 8451, 9568, 81, 25531, 370, 203, 25, 13727, 81, 8451, 9568, 81, 65, 2918, 370, 330, 13727, 81, 8451, 81, 26931, 370, 330, 13727, 81, 8451, 81, 12825, 370, 203, 25, 13727, 81, 8451, 81, 21569, 370, 330, 13727, 81, 8451, 81, 15013, 81, 3364, 370, 330, 13727, 81, 8451, 81, 3364, 370, 203, 25, 13727, 81, 8451, 81, 3364, 81, 21569, 370, 330, 13727, 81, 8451, 81, 2319, 370, 203, 25, 13727, 81, 38390, 1016, 81, 36794, 370, 330, 13727, 81, 38390, 758, 81, 12825, 370, 203, 25, 13727, 81, 38390, 758, 81, 12825, 81, 21569, 370, 330, 13727, 81, 13217, 81, 3364, 370, 203, 25, 13727, 81, 9842, 726, 2917, 370, 330, 13727, 81, 9842, 81, 21569, 370, 330, 13727, 81, 10870, 81, 3364, 370, 203, 25, 13727, 81, 17552, 81, 5975, 370, 330, 13727, 81, 16758, 81, 9302, 370, 330, 13727, 81, 4092, 370, 203, 25, 13727, 81, 4683, 81, 11502, 81, 3459, 370, 330, 13727, 81, 2576, 81, 8451, 13184, 370, 330, 13727, 81, 10463, 81, 2109, 81, 45728, 370, 203, 25, 13727, 81, 7597, 370, 330, 13727, 81, 7597, 81, 779, 81, 21569, 370, 330, 13727, 81, 7597, 81, 2319, 370, 330, 13727, 81, 21569, 370, 203, 25, 13727, 81, 14581, 8451, 370, 330, 13727, 81, 36794, 81, 21569, 370, 330, 13727, 81, 13169, 81, 10870, 370, 203, 25, 13727, 81, 5203, 81, 21569, 370, 330, 13727, 81, 6016, 81, 5203, 81, 12991, 370, 330, 45670, 81, 48393, 370, 203, 25, 52, 28559, 26506, 726, 370, 330, 5670, 19563, 81, 27571, 370, 330, 5670, 19563, 81, 9682, 370, 203, 25, 16772, 81, 3687, 81, 17986, 370, 330, 32427, 1392, 370, 330, 10322, 81, 3364, 370, 330, 28018, 81, 2418, 370, 203, 25, 8451, 81, 3908, 81, 28073, 370, 330, 10145, 81, 4601, 370, 330, 10145, 81, 13217, 370, 330, 3644, 1834, 7034, 370, 203, 25, 3644, 1834, 5197, 370, 330, 15421, 81, 27571, 370, 330, 1405 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 0, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5 ]
[ 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1 ]
[ 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 500, 104, 203, 823, 7683, 81, 3783, 26, 500, 104, 32, 500, 104, 711, 284, 617, 426, 280, 313, 476, 32, 3783, 20, 284, 617, 1174, 280, 330, 426, 25, 284, 617, 6057, 280, 301, 291, 330, 426, 950, 3829, 32, 1594, 463, 6166, 3270, 370, 1334, 47, 35, 36, 42, 471, 291, 330, 3142, 950, 3829, 32, 1594, 463, 2291, 370, 1334, 47, 35, 36, 42, 30, 2192, 47, 1815, 471, 291, 330, 1358, 81, 4151, 950, 3829, 32, 658, 36, 11374, 463, 476, 32, 3783, 32, 928, 370, 330, 1358, 81, 314, 370, 11244, 330, 6166, 2484, 1425, 284, 320, 203, 476, 81, 3783, 346, 203, 823, 7683, 81, 3783, 81, 928, 26, 500, 104, 32, 500, 104, 711, 284, 617, 426, 280, 330, 476, 32, 3783, 32, 928, 25, 284, 617, 1174, 280, 330, 314, 25, 284, 617, 6057, 280, 301, 291, 330, 426, 950, 3829, 32, 1594, 463, 1176, 3270, 370, 1334, 47, 40, 38, 471, 291, 330, 1358, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 476, 32, 3783, 370, 330, 6166, 370, 2192, 47, 1815, 30, 544, 2560, 1057, 26640, 1425, 284, 320, 203, 476, 81, 3783, 81, 928, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 10, 8, 9, 10, 10, 10, 8, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 8, 9, 10, 10, 10, 8, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 8, 10, 10, 10, 5, 5, 0, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 10, 8, 9, 10, 10, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 8, 9, 10, 8, 8, 10, 9, 11, 11, 5, 5, 0, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 2, 2, 1, 2, 3, 0, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 1, 5, 2, 1, 2, 2, 1, 1, 1, 2, 5, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 3, 3, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 3, 2, 2, 1, 2, 2, 1, 1, 1, 2, 3, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 5, 2, 1, 1, 0, 7, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 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 ]
[ 465, 15798, 203, 1070, 15798, 1188, 19205, 203, 1070, 1672, 32511, 1188, 31378, 30, 19555, 30, 7808, 30, 629, 18928, 30, 7395, 203, 1070, 7395, 36, 8387, 1188, 7395, 36, 8387, 203, 3459, 81, 10573, 280, 225, 35, 34, 203, 589, 2354, 17804, 26, 17804, 711, 284, 498, 96, 34, 280, 2107, 34, 25, 474, 1340, 1112, 436, 1340, 1112, 328, 498, 96, 79, 284, 498, 96, 35, 280, 2107, 35, 25, 474, 1340, 1112, 436, 1340, 1112, 328, 498, 96, 79, 284, 498, 96, 35, 32, 9833, 346, 284, 442, 498, 96, 34, 474, 498, 96, 35, 203, 823, 2108, 11296, 21219, 1227, 26, 7233, 711, 284, 665, 894, 11296, 21219, 1227, 26, 784, 711, 291, 559, 96, 280, 1605, 291, 665, 43566, 16103, 26, 52, 30, 570, 30, 310, 711, 324, 436, 595, 328, 2155, 26, 36, 326, 96, 711, 400, 551, 32, 1978, 280, 629, 18928, 26, 91, 27, 400, 6761, 7808, 26, 35, 34, 27, 400, 559, 96, 32, 1689, 26, 1771, 26, 57, 30, 1861, 47, 96, 490, 291, 498, 96, 280, 2107, 34, 370, 330, 35, 785, 4456, 436, 310, 328, 2155, 26, 36, 30, 7482, 81, 10573, 711, 324, 498, 96, 280, 2354, 17804, 26, 17804, 27, 324, 3555, 559, 96, 31445, 324, 551, 280, 19555, 26, 410, 18928, 26, 35, 490, 324, 570, 280, 19555, 26, 410, 18928, 26, 34, 490, 324, 343, 303, 280, 7395, 36, 8387, 26, 52, 30, 570, 30, 310, 27, 324, 43566, 280, 43566, 16103, 26, 52, 30, 570, 30, 310, 27, 324, 3760, 280, 31378, 26, 25256, 30, 43566, 27, 324, 3760, 32, 1945, 26, 22290, 47, 35, 27, 324, 630, 32, 5299, 26, 17804, 30, 559, 96, 27, 203, 823, 2108, 21219, 1227, 3289, 26, 7233, 711, 284, 665, 894, 6276, 4587, 1791, 26, 784, 711, 291, 665, 894, 26, 52, 30, 570, 30, 570, 81, 76, 30, 1861, 711, 324, 551, 32, 1978, 280, 629, 18928, 26, 34, 27, 324, 6761, 7808, 26, 35, 34, 27, 324, 436, 595, 328, 2155, 26, 35, 30, 225, 36, 326, 1644, 711, 400, 570, 81, 76, 32, 1978, 280, 570, 400, 551, 32, 1978, 280, 629, 18928, 26, 91, 27, 400, 6761, 7808, 26, 35, 34, 27, 400, 5839, 687, 280, 7395, 26, 57, 5304, 570, 81, 76, 27, 400, 630, 32, 5299, 26, 4903, 687, 32, 998, 463, 35, 1425, 225, 35, 27, 291, 436, 1861, 328, 2155, 26, 36, 30, 7482, 81, 10573, 711, 324, 551, 280, 19555, 26, 410, 18928, 26, 35, 490, 324, 570, 280, 19555, 26, 410, 18928, 26, 34, 490, 324, 570, 81, 76, 280, 19555, 26, 410, 18928, 26, 34, 490, 324, 343, 303, 280, 7395, 36, 8387, 26, 52, 30, 570, 30, 1861, 27, 324, 1505, 280, 894, 26, 52, 30, 570, 30, 570, 81, 76, 30, 1861, 27, 324, 3760, 280, 31378, 26, 25256, 30, 1505, 27, 324, 3760, 32, 1945, 26, 22290, 47, 35, 27, 284, 665, 894, 10189, 1227, 13592, 26, 784, 711, 291, 665, 894, 26, 52, 30, 570, 30, 1861, 711, 324, 4648, 280, 1605, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 8, 8, 6, 6, 7, 5, 6, 7, 6, 6, 7, 5, 2, 2, 5, 5, 4, 4, 8, 8, 6, 6, 7, 5, 6, 7, 6, 6, 7, 5, 2, 2, 6, 6, 5, 6, 5, 2, 2, 3, 5, 5, 4, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 4, 4, 5, 6, 6, 7, 6, 6, 6, 6, 6, 5, 5, 7, 7, 7, 9, 11, 10, 11, 9, 7, 7, 11, 12, 10, 10, 12, 12, 13, 12, 8, 8, 10, 12, 13, 13, 12, 8, 8, 12, 11, 12, 11, 13, 13, 14, 13, 13, 14, 15, 13, 4, 4, 7, 6, 6, 9, 9, 7, 9, 9, 4, 4, 5, 5, 5, 7, 8, 7, 7, 8, 8, 7, 5, 5, 9, 8, 8, 10, 10, 11, 10, 6, 6, 7, 9, 8, 6, 6, 8, 8, 10, 12, 12, 12, 13, 12, 6, 6, 8, 8, 10, 12, 12, 12, 13, 12, 6, 6, 9, 8, 8, 10, 10, 10, 11, 10, 10, 10, 10, 10, 6, 6, 8, 8, 10, 10, 11, 10, 10, 10, 10, 10, 6, 6, 8, 8, 10, 11, 10, 10, 10, 6, 6, 9, 10, 9, 11, 10, 11, 9, 6, 6, 9, 10, 9, 10, 9, 9, 10, 9, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 6, 6, 6, 6, 7, 7, 6, 6, 6, 5, 5, 9, 10, 8, 8, 10, 10, 11, 10, 6, 6, 8, 10, 11, 11, 10, 6, 6, 7, 7, 7, 9, 10, 9, 9, 11, 10, 11, 9, 7, 7, 12, 12, 11, 12, 10, 10, 8, 8, 11, 12, 10, 10, 12, 12, 13, 12, 8, 8, 10, 12, 13, 13, 12, 8, 8, 11, 10, 10, 12, 14, 13, 13, 14, 14, 12, 8, 8, 11, 12, 11, 14, 14, 13, 14, 13, 15, 15, 11, 12, 11, 4, 4, 5, 5, 5, 7, 8, 7, 7, 8, 8, 7, 5, 5, 8, 8, 10, 12, 12, 12, 13, 12, 6, 6, 8, 8, 10, 12, 12, 12, 13, 12, 6, 6, 9, 9, 8, 8, 10, 12, 12, 12, 13, 12, 6, 6, 9, 8, 8, 10, 10, 10, 11, 10, 10, 10, 10, 10, 6, 6, 8, 8, 10, 11, 10, 10, 10, 10, 11, 11, 10, 10, 10, 6, 6, 8, 8, 10, 11, 10, 10, 10, 6, 6, 9, 10, 9, 11, 10, 11, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 6, 6, 6, 6, 6, 5, 5, 8, 8, 6 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 3, 2, 4, 4, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 3, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 3, 0, 0, 1, 1, 2, 2, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 5, 5, 0, 1, 1, 1, 1, 5, 5, 0, 0, 2, 1, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 1, 2, 2, 1, 2, 4, 4, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 5, 5, 1, 0, 1, 5, 5, 0, 0, 1, 0, 0, 1, 1, 1, 5, 5, 0, 0, 1, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 0, 1, 2, 1, 5, 5, 0, 2, 1, 1, 1, 1, 3, 1, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 4, 4, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 5, 5, 0, 2, 0, 0, 0, 1, 1, 1, 5, 5, 0, 1, 1, 1, 1, 5, 5, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 5, 5, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 5, 5, 0, 0, 1, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 5, 5, 0, 0, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 4 ]
[ 9081, 280, 428, 284, 330, 26878, 1427, 270, 38098, 370, 284, 330, 268, 1347, 32, 26275, 407, 370, 203, 79, 203, 26878, 2180, 81, 6426, 81, 426, 280, 330, 26878, 33, 46728, 305, 427, 25, 203, 26878, 2180, 81, 1452, 81, 2250, 280, 330, 46728, 305, 427, 25, 203, 26878, 2180, 81, 1452, 81, 2142, 280, 4247, 203, 8881, 81, 983, 280, 2107, 81, 8881, 785, 203, 1855, 81, 12420, 280, 5608, 9632, 25, 203, 2590, 81, 1427, 280, 330, 1055, 25, 203, 11794, 280, 330, 36, 34, 35, 40, 30, 29737, 305, 427, 36646, 25, 203, 3779, 280, 4247, 203, 1648, 280, 4247, 203, 10444, 81, 15719, 280, 1605, 203, 978, 32725, 81, 1621, 280, 330, 3723, 25, 203, 916, 81, 4661, 280, 330, 26878, 2180, 25, 203, 916, 81, 1574, 81, 983, 280, 2107, 81, 1574, 785, 203, 916, 4756, 81, 15705, 280, 330, 46728, 305, 427, 5813, 11438, 4216, 25, 203, 24189, 81, 17274, 280, 428, 284, 2726, 1055, 370, 330, 46728, 305, 427, 5813, 11438, 32, 8581, 370, 275, 330, 46728, 305, 427, 11036, 13907, 12217, 370, 275, 330, 46728, 305, 427, 36646, 370, 330, 12505, 1425, 203, 79, 203, 1588, 81, 5646, 280, 428, 284, 2726, 1055, 370, 330, 46728, 305, 427, 5813, 11438, 370, 275, 330, 46728, 305, 427, 11036, 13907, 12217, 370, 275, 2107, 46728, 305, 427, 36646, 2188, 225, 35, 27, 203, 79, 203, 8581, 1338, 81, 17274, 280, 428, 284, 2726, 1055, 370, 330, 46728, 305, 427, 5813, 11438, 370, 275, 330, 46728, 305, 427, 11036, 13907, 12217, 370, 275, 330, 46728, 305, 427, 36646, 370, 330, 46728, 305, 427, 5813, 11438, 370, 275, 330, 3582, 1628, 3048, 432, 2074, 6418, 275, 330, 6417, 36786, 1425, 203, 79, 203, 6921, 81, 15615, 280, 2107, 6921, 33, 785, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 0, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 7, 7, 7, 7, 7, 4, 5, 4, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 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, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 9, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 13092, 203, 1070, 600, 380, 686, 81, 3483, 32, 4255, 32, 6038, 81, 3483, 32, 3483, 32, 6038, 32, 89, 1196, 32, 104, 38998, 1188, 308, 284, 676, 38998, 18309, 30, 284, 18094, 4496, 290, 7897, 30, 284, 18334, 15447, 1547, 7897, 30, 284, 676, 29573, 3665, 7897, 30, 203, 27, 203, 1070, 600, 380, 686, 81, 3483, 32, 1199, 1188, 4361, 30, 622, 81, 3426, 81, 29082, 81, 2848, 203, 1070, 3312, 32, 11613, 32, 4255, 32, 6038, 81, 3483, 32, 3483, 32, 6038, 32, 89, 1196, 1188, 37796, 24224, 203, 1070, 600, 380, 686, 81, 3483, 32, 1113, 3731, 1188, 4082, 203, 1070, 3312, 32, 11613, 32, 4255, 32, 6038, 81, 3483, 32, 3483, 32, 6038, 32, 89, 1196, 1188, 308, 284, 9011, 81, 4938, 81, 5893, 81, 858, 81, 2121, 30, 284, 9011, 81, 1347, 81, 34465, 81, 858, 81, 2121, 30, 203, 27, 203, 4073, 32, 4898, 81, 858, 81, 7490, 346, 203, 50, 12408, 32, 1826, 32, 539, 18972, 440, 6933, 81, 4938, 81, 5893, 81, 858, 81, 2121, 657, 203, 823, 2244, 380, 686, 3091, 18309, 1006, 26, 18309, 24224, 711, 284, 21910, 81, 20966, 280, 676, 38998, 18309, 284, 1156, 1536, 81, 893, 505, 280, 313, 1251, 20, 284, 665, 894, 81, 34019, 81, 2452, 290, 26, 784, 711, 291, 273, 30, 21910, 30, 894, 81, 1819, 280, 630, 32, 371, 81, 16165, 81, 7489, 26, 324, 18094, 4496, 290, 7897, 3667, 7489, 81, 426, 505, 291, 829, 291, 3082, 280, 622, 81, 3426, 81, 29082, 81, 2848, 346, 291, 1778, 280, 3082, 32, 1217, 26, 1658, 547, 371, 26, 324, 308, 784, 32, 858, 81, 2121, 32, 371, 81, 2242, 81, 9281, 440, 48657, 16050, 34, 1674, 34, 614, 313, 34, 657, 291, 829, 291, 894, 81, 1819, 280, 21910, 32, 9266, 81, 1819, 26, 893, 30, 894, 81, 1819, 27, 291, 273, 32, 13697, 26, 893, 30, 894, 81, 1819, 27, 291, 4082, 32, 1338, 26146, 56, 3911, 44, 16531, 1643, 26, 102, 32, 88, 3911, 2610, 291, 630, 32, 5299, 26, 1657, 26, 102, 32, 88, 3911, 471, 225, 35, 27, 284, 665, 894, 81, 6528, 541, 1028, 770, 26, 784, 711, 291, 273, 30, 21910, 30, 894, 81, 1819, 280, 630, 32, 371, 81, 16165, 81, 7489, 26, 324, 18334, 15447, 1547, 7897, 3667, 7489, 81, 426, 7642, 1769, 81, 6124, 81, 8119, 81, 5207, 347, 34, 20, 291, 829, 291, 894, 81, 1819, 280, 21910, 32, 9266, 81, 1819, 26, 784, 32, 858, 81, 893, 30, 894, 81, 1819, 27, 291, 273, 32, 13697, 26, 784, 32, 858, 81, 893, 30, 894, 81, 1819, 27, 291, 4082, 32, 1338, 26146, 56, 3911, 44, 16531, 1643, 26, 102, 32, 88, 3911, 2610, 291, 630, 32, 5299, 26, 1657, 26, 102, 32, 88, 3911, 471, 225, 35, 27, 291, 273, 30, 21910, 30, 894, 81, 1819, 280, 630, 32, 371, 81, 16165, 81, 7489, 26, 324, 18334, 15447, 1547, 7897, 3667, 7489, 81, 426, 7642, 1769, 81, 6124, 81, 8119, 81, 5207, 347, 35, 34, 34, 34, 34, 34, 34, 20 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 4, 3, 4, 4, 4, 4, 4, 3, 0, 2, 6, 5, 6, 4, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 3, 2, 2, 6, 6, 5, 5, 6, 6, 3, 3, 6, 6, 6, 6, 5, 5, 7, 7, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 8, 8, 9, 9, 7, 7, 9, 10, 10, 10, 10, 10, 9, 9, 9, 11, 11, 11, 10, 11, 11, 11, 11, 9, 9, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 9, 5, 5, 7, 7, 11, 12, 11, 12, 11, 10, 9, 9, 9, 16, 15, 16, 16, 16, 14, 15, 15, 15, 15, 15, 14, 16, 16, 13, 12, 12, 11, 10, 12, 12, 9, 9, 5, 5, 8, 8, 7, 7, 9, 10, 10, 10, 9, 10, 9, 9, 10, 10, 9, 5, 5, 8, 9, 8, 9, 8, 8, 9, 9, 8, 5, 5, 8, 9, 8, 13, 13, 13, 13, 12, 11, 13, 12, 13, 13, 11, 5, 5, 8, 9, 8, 10, 10, 12, 11, 12, 12, 10, 8, 9, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 8, 8, 9, 9, 7, 7, 9, 10, 10, 10, 10, 10, 9, 9, 9, 11, 11, 11, 10, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 10, 12, 12, 9, 9, 5, 5, 8, 8, 7, 7, 9, 10, 10, 10, 9, 11, 10, 11, 11, 11, 9, 9, 10, 10, 9, 5, 5, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 9, 8, 5, 5, 8, 9, 8, 13, 13, 13, 13, 12, 11, 13, 12, 13, 13, 11, 5, 5, 8, 9, 8, 10, 10, 12, 11, 12, 12, 10, 8, 9, 8, 5, 5, 8, 8, 8, 8, 9, 9, 7, 7, 9, 10, 10, 10, 10, 10, 9, 9, 9, 11, 11, 11, 10, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 1, 6, 1, 8, 1, 10, 10, 1, 12, 12, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 1, 10, 1, 12, 12, 3, 3, 0, 0, 4, 4, 0, 0, 0, 0, 1, 2, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 1, 10, 1, 12, 12, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 3, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 2 ]
[ 465, 2322, 203, 1070, 8668, 1147, 32, 11452, 1188, 5718, 32551, 203, 1070, 8668, 1147, 81, 4867, 1188, 676, 31497, 7223, 203, 1070, 8668, 1147, 81, 4867, 32, 1237, 1188, 10071, 203, 1070, 8668, 1147, 81, 4867, 32, 1237, 1188, 14735, 203, 1070, 8668, 1147, 81, 4867, 32, 1237, 1188, 8745, 203, 1070, 8668, 1147, 81, 4867, 32, 1237, 32, 4911, 32, 1439, 1188, 24267, 5998, 203, 823, 12495, 69, 7194, 299, 1183, 1572, 26376, 26, 26376, 711, 284, 32406, 81, 42317, 3480, 280, 330, 96, 46821, 25, 284, 20045, 6955, 81, 4249, 940, 280, 2107, 12744, 81, 34295, 370, 330, 12744, 81, 15707, 81, 28953, 785, 284, 665, 1156, 1664, 3207, 784, 30, 4082, 47, 2521, 30, 1115, 2132, 711, 291, 2599, 26, 3910, 69, 7194, 299, 1183, 1572, 26376, 30, 630, 14585, 1664, 3207, 324, 4082, 47, 4073, 30, 1115, 2132, 27, 291, 630, 32, 1163, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 324, 630, 32, 42603, 30, 324, 8930, 34, 4009, 2957, 32, 8214, 2473, 1643, 26, 784, 32, 426, 490, 291, 630, 32, 96, 46821, 81, 983, 280, 8745, 32, 371, 81, 11148, 81, 3142, 81, 983, 26, 324, 2322, 32, 983, 32, 2524, 463, 4911, 370, 330, 96, 46821, 370, 330, 96, 46821, 32, 8022, 2847, 291, 630, 32, 19653, 81, 6038, 280, 2803, 32, 371, 463, 19653, 81, 6038, 370, 330, 2837, 683, 291, 630, 32, 11879, 81, 4534, 81, 5457, 280, 2803, 32, 371, 463, 11879, 81, 4534, 81, 5457, 370, 225, 40, 34, 27, 291, 630, 32, 11879, 81, 17506, 81, 7843, 280, 2803, 32, 371, 463, 11879, 81, 17506, 81, 7843, 370, 225, 39, 34, 34, 34, 27, 284, 665, 1487, 81, 1423, 26, 784, 711, 291, 3097, 284, 665, 1487, 81, 1163, 26, 784, 711, 291, 4533, 81, 800, 280, 630, 1114, 1297, 81, 2121, 81, 800, 346, 291, 630, 1114, 4073, 32, 2811, 463, 12177, 3488, 3261, 10698, 34, 3845, 645, 3079, 25, 6029, 638, 1643, 26, 784, 32, 1163, 81, 983, 490, 291, 8745, 32, 3169, 81, 2387, 81, 452, 81, 761, 26, 324, 3079, 81, 983, 1057, 4911, 33, 96, 46821, 33, 96, 46821, 32, 2957, 32, 2387, 370, 324, 803, 81, 983, 47, 784, 32, 1163, 81, 983, 30, 324, 5523, 47, 784, 32, 3926, 30, 324, 310, 46821, 81, 983, 47, 784, 32, 96, 46821, 81, 983, 30, 324, 1245, 81, 2649, 47, 784, 32, 751, 81, 2649, 30, 324, 1245, 81, 761, 47, 784, 32, 371, 81, 38364, 1026, 324, 1389, 1515, 47, 784, 32, 42603, 30, 324, 1256, 47, 784, 32, 496, 30, 324, 6109, 81, 2035, 47, 784, 32, 4738, 81, 2035, 30, 324, 6109, 81, 625, 47, 784, 32, 4738, 81, 625, 30, 324, 6109, 81, 5721, 47, 784, 32, 4738, 81, 5721, 30, 324, 803, 81, 1786, 81, 2035, 47, 784, 32, 761, 81, 1786, 81, 2035, 30, 324, 803, 81, 1786, 81, 625, 47, 784, 32, 761, 81, 1786, 81, 625, 30, 324, 803, 81, 1786, 81, 5721, 47, 784, 32, 761, 81, 1786, 81, 5721, 30, 324, 7663 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 7, 7, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 8, 8, 9, 10, 8, 8, 8, 12, 12, 12, 12, 12, 12, 11, 10, 12, 11, 12, 10, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 11, 12, 10, 11, 10, 12, 12, 10, 12, 12, 12, 10, 12, 12, 12, 12, 12, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 10, 10, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 8, 9, 7, 8, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 9, 11, 10, 11, 11, 11, 9, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 8, 10, 9, 10, 10, 10, 7, 7, 7, 8, 10, 9, 10, 7, 7, 7, 9, 9, 9, 8, 10, 9, 10, 10, 10, 10, 7, 7, 7, 9, 9, 8, 10, 9, 10, 10, 10, 7, 7, 7, 9, 9, 8, 11, 10, 11, 11, 11, 10, 7, 7, 9, 8, 10, 9, 10, 7, 7, 7, 8, 10, 9, 10, 7, 7, 7, 9, 9, 8, 10, 9, 10, 10, 10, 7, 7, 7, 9, 9, 8, 10, 9, 10, 10, 10, 7, 7, 7, 9, 9, 8, 10, 9, 10, 10, 10, 7, 7, 7, 9, 9, 9, 9, 8, 10, 9, 10, 10, 10, 10, 10, 7, 7, 7, 9, 9, 9, 9, 8, 10, 9, 10, 10, 10, 10, 10, 7, 7, 7, 9, 9, 9, 9, 8, 10, 9, 10, 10, 10, 10, 10, 7, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 1, 2, 3, 3, 0, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 5, 5, 0, 0, 0, 1, 2, 5, 5, 0, 6, 6, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 7, 7, 1, 1, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 0, 2, 2, 2, 2, 1, 1, 1, 5, 0, 2, 2, 1, 1, 1, 0, 0, 0, 7, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 9, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 11, 0, 0, 2, 2, 2, 1, 1, 1, 0, 13, 0, 2, 2, 1, 1, 1, 15, 0, 2, 2, 1, 1, 1, 0, 0, 17, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 19, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 21, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 23, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 25, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 27, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 40946, 203, 465, 2322, 203, 1070, 7138, 1188, 7138, 30, 30784, 203, 1070, 46032, 1188, 1188, 81, 1647, 203, 1070, 15798, 1188, 7116, 2797, 203, 1070, 8527, 1188, 10548, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 12023, 1188, 5605, 203, 1070, 8527, 32, 12023, 32, 2300, 1188, 21754, 203, 1070, 8527, 32, 12023, 32, 2300, 32, 4882, 1188, 9128, 15481, 45210, 36928, 7233, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 1070, 8527, 32, 1262, 32, 2536, 32, 4219, 1188, 1244, 81, 4219, 203, 1070, 8527, 32, 1262, 32, 2536, 32, 30939, 761, 1188, 7155, 32945, 974, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 1199, 32, 3378, 1188, 7687, 1176, 30, 2821, 1176, 203, 1070, 8527, 32, 858, 1188, 7155, 7233, 30, 19205, 30, 2684, 81, 3550, 203, 1070, 8527, 32, 2304, 1188, 18792, 30, 13178, 203, 1070, 638, 1188, 4549, 203, 1070, 638, 3854, 2300, 1188, 4755, 619, 6852, 81, 2300, 81, 2851, 203, 1270, 44, 284, 1188, 3619, 10185, 203, 7343, 29986, 44, 284, 3619, 10185, 280, 1665, 203, 823, 2108, 750, 13976, 26, 1473, 711, 284, 477, 17614, 284, 665, 14553, 24527, 26, 6933, 711, 291, 9011, 32, 103, 35, 280, 2680, 32, 5740, 32, 1297, 26, 324, 15769, 47, 35, 34, 34, 30, 952, 1057, 5266, 370, 1932, 81, 426, 1057, 11069, 370, 2401, 81, 426, 1057, 1240, 370, 4096, 1057, 5266, 50, 2763, 32, 508, 370, 324, 3882, 1057, 5567, 35, 22, 43, 43, 39, 83, 37, 22, 40, 34, 35, 35, 38, 42, 39, 4532, 37, 42, 37, 38, 36, 40, 41, 86, 41, 35, 43, 84, 38, 85, 42, 34, 35, 38, 34, 43, 84, 42, 84, 35, 20481, 34, 35, 39, 42, 370, 438, 81, 2480, 47, 1815, 30, 438, 81, 39744, 47, 1815, 30, 324, 438, 81, 15989, 47, 1815, 30, 2401, 81, 3615, 47, 6665, 26, 36, 34, 34, 41, 30, 225, 39, 30, 225, 37, 34, 30, 225, 35, 37, 30, 225, 36, 34, 30, 225, 35, 34, 471, 324, 2340, 81, 35683, 47, 6665, 26, 36, 34, 34, 41, 30, 225, 39, 30, 225, 37, 34, 30, 225, 35, 37, 30, 225, 36, 34, 30, 225, 35, 34, 27, 291, 829, 291, 9011, 32, 103, 36, 280, 2680, 32, 5740, 32, 1297, 26, 324, 15769, 47, 35, 34, 35, 30, 952, 1057, 858, 509, 370, 1932, 81, 426, 1057, 1103, 370, 2401, 81, 426, 1057, 1240, 370, 4096, 1057, 83, 496, 50, 2763, 32, 508, 370, 324, 3882, 1057, 5567, 35, 22, 43, 43, 39, 83, 37, 22, 40, 34, 35, 35, 38, 42, 39, 4532, 37, 42, 37, 38, 36, 40, 41, 86, 41, 35, 43, 84, 38, 85, 42, 34, 35, 38, 34, 43, 84, 42, 84, 35, 20481, 34, 35, 39, 42, 370, 438, 81, 2480, 47, 1815, 30, 438, 81, 39744, 47, 2700, 30, 324, 438, 81, 15989, 47, 1815, 30, 2401, 81, 3615, 47, 6665, 26, 36, 34, 34, 41 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 4, 4, 1, 1, 2, 2, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 6, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 8, 9, 9, 7, 7, 10, 11, 9, 10, 9, 9, 9, 10, 11, 11, 11, 9, 9, 10, 12, 12, 9, 11, 11, 10, 12, 12, 9, 11, 11, 10, 12, 12, 9, 10, 12, 12, 12, 12, 12, 12, 9, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 11, 11, 10, 11, 9, 9, 11, 11, 10, 11, 9, 9, 9, 11, 11, 10, 11, 9, 9, 11, 11, 10, 12, 12, 13, 13, 13, 13, 12, 12, 13, 12, 12, 13, 13, 12, 12, 13, 13, 12, 12, 13, 13, 12, 12, 13, 13, 12, 9, 9, 11, 11, 10, 12, 12, 13, 13, 13, 13, 12, 12, 13, 12, 12, 13, 13, 12, 12, 13, 13, 12, 12, 13, 13, 12, 12, 13, 13, 12, 9, 9, 5, 5, 8, 9, 9, 7, 7, 10, 11, 9, 10, 9, 9, 9, 10, 11, 11, 11, 9, 9, 10, 12, 12, 12, 9, 11, 11, 10, 12, 12, 9, 11, 11, 10, 12, 12, 9, 10, 12, 12, 12, 12, 12, 12, 12, 9, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 11, 11, 10, 11, 9, 9, 11, 11, 10, 11, 9, 9, 9, 11, 11, 10, 11, 9, 9, 11, 11, 10, 12, 12, 13, 13, 13, 13 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 0, 0, 5, 5, 5, 5, 0, 0, 6, 6, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 8, 8, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 10, 10, 1, 2, 1, 4, 1, 6, 10, 10, 0, 0, 0, 0, 0, 11, 11, 1, 2, 1, 4, 1, 6, 11, 11, 0, 12, 12, 1, 2, 1, 4, 1, 6, 12, 12, 0, 0, 0, 13, 13, 1, 2, 1, 4, 1, 6, 6, 13, 13, 0, 0, 0, 14, 14, 1, 2, 1, 4, 4, 14, 14, 0, 15, 15, 1, 2, 1, 4, 15, 15, 0, 15, 15, 0, 0, 16, 16, 1, 2, 16, 16, 0, 16, 16, 16, 16, 0, 0, 0, 17, 17, 1, 2, 17, 17, 17, 17, 0, 18, 18, 18, 18, 0, 19, 19, 0, 0, 19, 19, 3, 3, 2, 2, 2, 2, 0, 20, 20, 20, 20, 0, 0, 20, 3, 3, 3, 3, 3, 0, 0, 0, 0, 21, 21, 1, 1, 2, 1, 2, 21, 21, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 1, 2, 1, 0, 0, 5, 1, 2, 1, 0, 0, 7, 1, 2, 1, 9, 1, 1, 1, 1, 1, 2, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 13, 2, 1, 1, 0, 0, 15, 2, 1, 1, 1, 0, 0, 17, 2, 1, 1, 0, 0, 19, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 1, 11, 11, 1, 1, 1, 0, 0, 21, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 1, 11, 11, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 1, 1, 2, 1, 0, 0, 5, 1, 2, 1, 0, 0, 7, 1, 2, 1, 9, 1, 1, 1, 1, 1, 1, 2, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 13, 2, 1, 1, 0, 0, 15, 2, 1, 1, 1, 0, 0, 17, 2, 1, 1, 0, 0, 19, 0, 1, 1, 1, 1, 1 ]
[ 465, 5741, 203, 465, 2322, 203, 465, 45977, 203, 1070, 10058, 31814, 23304, 1188, 35874, 203, 1070, 8745, 32, 2304, 1188, 15050, 203, 1070, 5296, 32, 2559, 12264, 1188, 8353, 12264, 30, 7049, 203, 1070, 5035, 32, 335, 427, 1188, 2385, 81, 668, 81, 2810, 81, 979, 81, 464, 81, 1286, 81, 4915, 203, 1070, 5296, 1188, 4004, 203, 1070, 5296, 1188, 3082, 203, 99, 280, 3082, 32, 1217, 203, 751, 89, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 345, 81, 668, 26, 3358, 12264, 711, 284, 665, 2179, 3354, 26, 784, 30, 1619, 711, 291, 786, 668, 280, 1605, 291, 3946, 280, 2149, 291, 1596, 44, 324, 310, 280, 1619, 32, 4170, 324, 415, 646, 6937, 26, 96, 30, 4004, 711, 400, 3636, 25085, 324, 1600, 81, 426, 280, 1619, 32, 1495, 32, 5165, 346, 324, 804, 81, 2437, 81, 695, 280, 2385, 81, 668, 81, 2810, 81, 979, 81, 464, 81, 1286, 81, 4915, 26, 96, 32, 314, 30, 1600, 81, 426, 27, 324, 3946, 280, 301, 5210, 77, 34, 2786, 6092, 77, 35, 79, 436, 6092, 328, 804, 81, 2437, 81, 695, 111, 291, 2940, 25085, 44, 324, 1665, 291, 1779, 2810, 280, 1619, 32, 1495, 32, 6682, 720, 346, 291, 2078, 2536, 280, 1619, 32, 1495, 32, 2536, 32, 464, 346, 291, 415, 2069, 26, 2810, 2536, 711, 23688, 415, 2322, 32, 983, 32, 29712, 26, 2810, 2536, 77, 34, 997, 21379, 711, 400, 623, 45977, 32, 1676, 26, 2810, 2536, 77, 34, 997, 21379, 30, 330, 100, 370, 7328, 1057, 3310, 42, 683, 619, 2078, 761, 44, 528, 1779, 2810, 280, 2078, 761, 32, 33232, 346, 291, 415, 2069, 26, 1433, 2810, 711, 23688, 415, 1779, 2810, 77, 34, 997, 1809, 44868, 683, 848, 225, 34, 44, 38042, 15111, 280, 428, 106, 32, 7201, 346, 436, 816, 328, 1779, 2810, 77, 34, 997, 2998, 44868, 12357, 38042, 2078, 2665, 280, 5436, 1162, 1581, 30, 11544, 436, 7275, 328, 15111, 27, 263, 400, 436, 595, 328, 2155, 26, 1657, 26, 1433, 2810, 8531, 528, 415, 595, 44, 261, 715, 3691, 280, 1779, 2810, 77, 91, 997, 2998, 44868, 683, 715, 436, 594, 328, 2155, 26, 1657, 26, 2868, 8531, 1014, 2078, 2665, 77, 11868, 77, 92, 17864, 1689, 26, 2868, 77, 92, 1130, 400, 7275, 280, 1619, 32, 4189, 400, 415, 308, 1206, 7275, 27, 556, 308, 1581, 646, 328, 2078, 2665, 32, 3494, 22805, 528, 7275, 280, 15111, 77, 34, 79, 400, 1779, 2810, 280, 2078, 2665, 77, 1581, 79, 291, 436, 909, 328, 1779, 2810, 44, 324, 10525, 280, 225, 34, 324, 883, 864, 4347, 280, 225, 34, 324, 2218, 909, 32, 15990, 21489, 10280, 400, 909, 280, 909, 77, 35, 10056, 400, 10525, 280, 10525, 474, 225, 35, 324, 415, 909, 32, 15990, 440, 313, 711, 400, 883, 864, 4347, 280, 225, 35, 324, 909, 280, 909, 32, 7201, 346, 324, 415, 646, 10525, 44, 400, 883, 864, 4347, 280, 225, 35, 324, 415, 10525, 848, 225, 34, 44, 400, 10525, 280, 10525, 429, 225, 35, 324, 10525, 466, 280, 14248, 1655, 7879 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 3, 2, 2, 3, 4, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 4, 4, 6, 6, 4, 4, 5, 5, 5, 8, 8, 9, 10, 6, 6, 7, 8, 10, 11, 10, 10, 10, 7, 7, 9, 6, 6, 9, 9, 8, 8, 11, 12, 10, 11, 10, 6, 6, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 11, 12, 10, 10, 11, 11, 10, 6, 6, 8, 8, 12, 11, 12, 11, 10, 11, 12, 11, 9, 10, 10, 10, 11, 11, 11, 11, 9, 5, 5, 6, 6, 6, 6, 4, 4, 7, 6, 6, 9, 10, 8, 9, 9, 8, 4, 4, 7, 6, 6, 10, 11, 9, 10, 8, 9, 8, 4, 4, 5, 7, 8, 8, 7, 5, 5, 7, 10, 11, 9, 10, 9, 12, 12, 11, 12, 11, 11, 9, 7, 7, 9, 14, 15, 14, 17, 17, 16, 17, 16, 16, 14, 14, 16, 16, 14, 15, 17, 17, 17, 12, 12, 14, 9, 9, 9, 13, 12, 12, 15, 14, 15, 14, 4, 4, 5, 7, 8, 8, 7, 5, 5, 7, 12, 11, 12, 11, 11, 10, 12, 8, 8, 9, 7, 7, 7, 10, 10, 14, 13, 14, 13, 11, 12, 12, 12, 16, 15, 16, 15, 15, 14, 16, 8, 8, 11, 10, 10, 12, 14, 13, 13, 12, 13, 13, 13, 12, 8, 8, 8, 9, 9, 9, 11, 13, 13, 14, 14, 13, 9, 9, 11, 11, 11, 11, 11, 14, 14, 18, 17, 18, 17, 17, 16, 18, 12, 12, 13, 13, 13, 15, 17, 17, 18, 17, 13, 13, 19, 18, 20, 19, 20, 19, 18, 17, 19, 18, 19, 18, 8, 8, 10, 10, 11, 12, 8, 8, 9, 12, 12, 11, 10, 10, 13, 12, 12, 12, 15, 14, 15, 14, 9, 9, 12, 12, 13, 14, 13, 8, 8, 11, 10, 10, 12, 11, 12, 11, 4, 4, 5, 5, 5, 6, 5, 5, 5, 8, 8, 9, 6, 6, 9, 9, 8, 8, 9, 6, 6, 7, 9, 10, 9, 11, 7, 7, 10, 10, 11, 13, 12, 8, 8, 10, 10, 11, 11, 12, 6, 6, 7, 9, 10, 9, 11, 9, 7, 7, 11, 11, 10, 10, 11, 6, 6, 8, 8, 10, 11, 10, 6, 6, 7, 8, 7, 7, 7, 11, 11, 10, 10, 11, 6, 6, 7, 8, 8, 9, 7, 7, 7, 10, 10, 11, 11, 12, 6, 6, 9, 8, 8, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 2, 5, 5, 0, 5, 5, 0, 6, 6, 1, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 8, 8, 8, 8, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 11, 11, 1, 1, 2, 1, 1, 2, 11, 11, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 3, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 4, 4, 5, 1, 1, 1, 1, 5, 5, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 5, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 6, 1, 1, 1, 1, 6, 6, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 3, 3, 3, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 3, 3, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 2, 2, 3, 3, 4, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 4, 4, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 4, 4, 7, 7, 7, 3, 7, 7, 7, 0, 0, 2, 5, 5, 0, 0, 0, 0, 2, 5, 5, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 3, 3, 0, 0, 2, 2, 2, 5, 5, 3, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 5, 5, 0, 0, 0, 2, 1, 5, 5, 5, 1, 5, 5, 5, 0, 0, 0, 0, 2, 5, 5, 6, 1, 1, 2, 6, 6, 6, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 1, 1 ]
[ 1070, 16560, 1188, 308, 284, 33330, 3470, 3480, 81, 8472, 30, 284, 617, 466, 30, 284, 829, 203, 1070, 16560, 32, 38596, 37076, 3877, 1188, 308, 284, 3704, 26411, 30, 284, 3704, 5135, 30, 284, 358, 4137, 30, 284, 13957, 30, 284, 20762, 22609, 30, 284, 20762, 12676, 30, 284, 17523, 750, 30, 284, 617, 4397, 7262, 30, 284, 829, 203, 1070, 16560, 32, 38596, 37076, 3877, 32, 38596, 37076, 3877, 1580, 1188, 308, 284, 617, 1183, 8596, 1486, 30, 284, 829, 203, 823, 24886, 8596, 1183, 2176, 1183, 8596, 1486, 711, 284, 5881, 5830, 688, 458, 443, 438, 312, 1406, 19888, 672, 1389, 544, 3704, 7294, 291, 11146, 32, 11992, 561, 21671, 312, 8215, 312, 5359, 30, 1158, 1503, 291, 883, 526, 20765, 3449, 645, 322, 1550, 1591, 32, 284, 5881, 284, 665, 1156, 1664, 3207, 784, 30, 10776, 81, 314, 47, 2521, 30, 6445, 81, 761, 47, 2521, 30, 353, 3408, 47, 42317, 3480, 81, 8472, 711, 291, 2599, 26, 22965, 8596, 1183, 30, 630, 14585, 1664, 3207, 324, 10776, 81, 314, 30, 6445, 81, 761, 30, 3408, 27, 284, 665, 1149, 81, 1840, 8732, 26, 784, 711, 291, 5881, 291, 1682, 322, 2676, 8732, 3417, 544, 322, 3497, 32, 291, 5881, 291, 442, 630, 1114, 14413, 81, 371, 26, 784, 1114, 371, 81, 668, 81, 1840, 8732, 81, 983, 1026, 768, 3704, 26411, 27, 284, 665, 622, 81, 1840, 1166, 26, 784, 30, 2676, 1166, 81, 426, 711, 291, 5881, 291, 1390, 4245, 432, 312, 2818, 2676, 1166, 32, 291, 2676, 1166, 81, 426, 44, 886, 636, 432, 322, 2676, 1166, 32, 291, 5881, 291, 442, 630, 1114, 14413, 81, 371, 26, 784, 1114, 371, 81, 1840, 1166, 81, 3958, 81, 983, 26, 1840, 1166, 81, 426, 471, 768, 3704, 5135, 27, 284, 665, 1149, 81, 12095, 26, 784, 30, 2676, 1166, 81, 426, 711, 291, 5881, 291, 1682, 322, 2676, 17289, 3417, 544, 458, 2676, 1166, 32, 291, 2676, 1166, 81, 426, 44, 886, 636, 432, 322, 2676, 1166, 32, 291, 5881, 291, 442, 630, 1114, 14413, 81, 371, 26, 784, 1114, 371, 81, 12095, 81, 983, 26, 1840, 1166, 81, 426, 471, 768, 358, 4137, 27, 284, 665, 622, 81, 2851, 26, 784, 30, 2676, 1166, 81, 426, 30, 9575, 81, 426, 711, 291, 5881, 291, 1682, 322, 2676, 17289, 3417, 544, 458, 2676, 1166, 32, 291, 2676, 1166, 81, 426, 44, 886, 636, 432, 322, 2676, 1166, 32, 291, 9575, 81, 426, 44, 886, 636, 432, 322, 9575, 32, 291, 5881, 291, 442, 630, 1114, 14413, 81, 371, 26, 784, 1114, 371, 81, 12095, 81, 3958, 81, 983, 26, 1840, 1166, 81, 426, 30, 34670, 9575, 81, 426, 471, 768, 13957, 27, 284, 665, 1487, 81, 2851, 26, 784, 30, 2676, 1166, 81, 426, 30, 9575, 81, 426, 30, 12266, 81, 3419, 30, 3408, 81, 4243, 30, 528, 7548, 1057, 7804, 31997, 7926, 370, 7596, 81, 2816, 1057, 7432, 370, 528, 2145, 81, 26141, 47, 2521, 30, 4755, 81, 2816, 47, 2521, 711, 291, 5881, 291, 2648, 312, 9575, 32, 291, 2676, 1166, 81, 426, 44 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 2, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5, 6, 6, 6, 6, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 8, 8, 8, 7, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 8, 8, 8, 7, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 9, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 8, 8, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 9, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 8, 8, 8, 7, 10, 9, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 9, 9, 9, 10, 10, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 7, 7, 7, 7, 4, 6, 6, 5, 7, 7, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 4, 4, 4, 4, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 3, 3, 1, 1, 2, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 3, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 4, 4, 6, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 9, 9, 2, 2, 2, 11, 1, 1, 1, 2, 2, 0, 0, 13, 1, 2, 2, 2, 0, 0, 15, 2, 2, 2, 0, 0, 17, 2, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 1133, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 337, 2269, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 823, 12966, 81, 11930, 26, 500, 104, 32, 500, 104, 711, 284, 617, 426, 280, 313, 3935, 32, 11930, 20, 284, 617, 6815, 280, 313, 3935, 32, 11930, 20, 284, 617, 6057, 280, 301, 291, 330, 2445, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 2445, 32, 2445, 370, 330, 3409, 370, 3049, 347, 33304, 19036, 1182, 6735, 367, 619, 312, 4054, 623, 827, 330, 2122, 2473, 2113, 291, 330, 14431, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 3524, 32, 278, 32337, 32, 14431, 370, 330, 1045, 32337, 25705, 1425, 291, 330, 103, 418, 81, 314, 950, 3829, 32, 10513, 463, 2445, 81, 314, 370, 330, 103, 418, 81, 314, 370, 827, 1057, 11374, 36, 658, 370, 14772, 1057, 2445, 32, 103, 418, 370, 802, 1057, 3010, 432, 22623, 370, 2968, 47, 1815, 30, 4283, 47, 1815, 27, 284, 320, 284, 665, 617, 371, 1045, 32337, 21600, 26, 784, 30, 5564, 30, 12373, 30, 1619, 47, 2521, 711, 291, 8735, 280, 630, 32, 5178, 32, 371, 463, 476, 32, 1160, 32, 605, 683, 291, 1596, 44, 324, 11638, 30, 736, 81, 314, 280, 8735, 32, 371, 81, 1473, 81, 3576, 26, 2446, 30, 12373, 30, 330, 3935, 81, 5571, 2696, 370, 330, 278, 32337, 81, 14431, 683, 324, 1505, 81, 990, 280, 630, 32, 5178, 32, 371, 463, 3524, 32, 278, 32337, 32, 14431, 1814, 1903, 26, 2446, 30, 12373, 30, 41449, 314, 370, 16509, 736, 81, 314, 14155, 1619, 47, 1819, 27, 324, 415, 1505, 81, 990, 44, 400, 442, 736, 81, 314, 291, 2940, 10091, 44, 324, 3097, 291, 442, 3177, 284, 665, 617, 371, 12921, 3409, 26, 784, 30, 5564, 30, 12373, 30, 1619, 47, 2521, 711, 291, 8735, 280, 630, 32, 5178, 32, 371, 463, 476, 32, 1160, 32, 605, 683, 291, 1596, 44, 324, 11638, 30, 736, 81, 314, 280, 8735, 32, 371, 81, 1473, 81, 3576, 26, 2446, 30, 12373, 30, 330, 2445, 370, 330, 2445, 81, 2445, 81, 22698, 692, 683, 324, 1505, 81, 990, 280, 630, 32, 5178, 32, 371, 463, 2445, 32, 2387, 1814, 1903, 26, 2446, 30, 12373, 30, 41449, 314, 370, 16509, 736, 81, 314, 14155, 1619, 47, 1819, 27, 324, 415, 1505, 81, 990, 44, 400, 442, 736, 81, 314, 291, 2940, 10091, 44, 324, 3097, 291, 442, 3177, 284, 617, 10514, 280, 301, 291, 330, 14431, 81, 314, 950, 617, 371, 1045, 32337, 21600, 30, 291, 330, 2445, 81, 314, 950, 617, 371, 12921, 3409, 284, 320, 203, 3935, 81, 11930, 346, 203, 823, 12966, 81, 278, 32337, 81, 5571, 2696, 26, 500, 104, 32, 500, 104, 711, 284, 617, 426, 280, 313, 3935, 32, 278, 32337, 32, 5571, 2696, 20, 284, 617, 1274, 280, 330, 3935, 81, 278, 32337, 81, 5571, 2696, 25, 284, 617, 2310, 280, 313, 1043, 7159, 7064, 20, 284, 617, 24525, 280, 5053, 3524, 32, 278 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 5, 5, 8, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 8, 9, 11, 11, 11, 11, 8, 9, 11, 11, 11, 11, 11, 8, 9, 11, 11, 11, 11, 8, 9, 10, 8, 8, 9, 10, 8, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 5, 5, 5, 9, 9, 10, 10, 8, 8, 10, 11, 11, 11, 11, 11, 10, 11, 10, 10, 10, 10, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 6, 6, 9, 9, 8, 8, 13, 14, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 11, 10, 11, 10, 10, 10, 10, 14, 14, 12, 12, 13, 13, 12, 10, 11, 12, 10, 6, 6, 7, 8, 8, 7, 7, 7, 9, 10, 10, 5, 5, 6, 6, 6, 6, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 5, 5, 5, 9, 9, 10, 10, 8, 8, 10, 11, 11, 11, 11, 11, 10, 11, 10, 10, 10, 10, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 6, 6, 9, 9, 8, 8, 13, 14, 12, 13, 12, 14, 14, 14, 14, 11, 10, 11, 10, 10, 10, 10, 14, 14, 12, 12, 13, 13, 12, 10, 11, 12, 10, 6, 6, 7, 8, 8, 7, 7, 7, 9, 10, 10, 5, 5, 6, 6, 6, 6, 4, 4, 5, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 7, 7, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7, 7, 5, 5, 0, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 8, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 1, 2, 0, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 5, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 7, 1, 1, 1, 1, 2, 1, 9, 1, 1, 1, 2, 1, 11, 2, 1, 1, 13, 2, 1, 2, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 7, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 2, 4, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 7, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 6, 6, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 6, 6, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1 ]
[ 37632, 14507, 81, 26580, 280, 5053, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 370, 528, 330, 1648, 950, 330, 35, 32, 34, 6040, 203, 24021, 2893, 280, 5881, 203, 1647, 44, 1532, 85, 81, 15193, 81, 1786, 203, 4021, 81, 2310, 44, 5351, 13602, 328, 15061, 14338, 2359, 7578, 32, 203, 2310, 44, 334, 429, 2244, 35603, 2297, 372, 5351, 13602, 328, 15061, 14338, 2359, 7578, 32, 203, 1648, 81, 11043, 44, 313, 36, 32, 34, 20, 203, 2184, 44, 334, 2145, 81, 3631, 44, 284, 3048, 44, 397, 429, 399, 1149, 432, 2145, 439, 3210, 372, 5351, 32, 284, 2129, 44, 2933, 334, 10895, 44, 284, 3048, 44, 397, 429, 4971, 5075, 17048, 2337, 372, 1974, 544, 322, 2145, 284, 2129, 44, 3177, 284, 1244, 44, 1665, 334, 4117, 44, 284, 3048, 44, 397, 429, 11348, 308, 266, 21124, 27, 372, 739, 372, 322, 2145, 32, 284, 2129, 44, 3177, 284, 1244, 44, 1665, 334, 32990, 81, 28038, 81, 6038, 81, 314, 44, 284, 3048, 44, 397, 429, 886, 32990, 8694, 15491, 7231, 804, 372, 526, 739, 436, 312, 15223, 5247, 2145, 32, 291, 1348, 438, 4031, 3405, 27765, 623, 330, 7312, 81, 28038, 81, 6038, 81, 426, 25, 284, 2129, 44, 3177, 284, 1244, 44, 1665, 334, 32990, 81, 28038, 81, 6038, 81, 426, 44, 284, 3048, 44, 397, 429, 886, 32990, 8694, 15491, 7231, 636, 372, 526, 739, 436, 312, 15223, 5247, 2145, 32, 291, 1348, 438, 4031, 3405, 27765, 623, 330, 7312, 81, 28038, 81, 6038, 81, 314, 25, 284, 2129, 44, 3177, 284, 1244, 44, 1665, 334, 5953, 81, 6038, 81, 314, 44, 284, 3048, 44, 397, 429, 886, 5953, 7231, 804, 372, 526, 5746, 372, 322, 2145, 32, 291, 1348, 438, 4031, 3405, 27765, 623, 330, 4792, 81, 6038, 81, 426, 25, 284, 2129, 44, 3177, 284, 1244, 44, 1665, 334, 5953, 81, 6038, 81, 426, 44, 284, 3048, 44, 397, 429, 886, 5953, 7231, 636, 372, 526, 5746, 372, 322, 2145, 32, 291, 1348, 438, 4031, 3405, 27765, 623, 330, 4792, 81, 6038, 81, 314, 25, 284, 2129, 44, 3177, 284, 1244, 44, 1665, 334, 1603, 44, 284, 3048, 44, 397, 429, 886, 1603, 372, 328, 4449, 688, 322, 3943, 6086, 884, 328, 32, 284, 1244, 44, 330, 2689, 25, 284, 2129, 44, 3177, 284, 16682, 44, 2107, 2689, 370, 330, 3596, 304, 785, 334, 4465, 44, 284, 3048, 44, 397, 429, 14071, 372, 4465, 436, 322, 34769, 8253, 372, 11361, 2670, 14116, 32, 284, 1244, 44, 2933, 284, 2129, 44, 3177, 284, 16682, 44, 428, 2933, 30, 3177, 79, 203, 15965, 44, 284, 429, 4262, 280, 225, 36, 32, 41, 284, 429, 5167, 2377, 225, 36, 32, 39, 32, 34, 284, 429, 1532, 85, 31, 4968, 203, 2116, 44, 313, 8428, 37183, 11931, 9210, 31, 10340, 4731, 203, 8886, 44, 284, 429, 2614, 793, 458, 2297, 30, 561, 438, 2129, 372, 739, 322, 4794, 4706, 4886, 1510, 19841, 2857, 372, 322, 397, 15061, 14338, 1204, 7578, 616, 429, 5042, 53, 81, 72, 36, 81, 2554, 81, 19452, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 2, 2, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 48885, 38, 32, 30609, 1188, 319, 203, 1070, 48885, 38, 32, 37571, 1188, 319, 203, 1070, 2322, 32, 983, 1188, 7140, 203, 1070, 11171, 1188, 11171, 38, 619, 11171, 203, 823, 9476, 1572, 26, 40079, 711, 284, 5967, 29059, 280, 3177, 284, 665, 1156, 1664, 3207, 784, 711, 291, 39963, 3667, 1664, 3207, 784, 27, 291, 415, 646, 630, 32, 5691, 29059, 44, 324, 1910, 22957, 32, 5691, 26, 784, 30, 330, 5711, 370, 324, 313, 3122, 884, 17636, 1273, 322, 13027, 438, 646, 15682, 6305, 32, 5294, 793, 322, 2676, 3337, 436, 5610, 6085, 12409, 32, 766, 96, 392, 1910, 22957, 32, 7558, 27, 324, 9476, 1572, 32, 5691, 29059, 280, 2933, 291, 2575, 2344, 280, 1910, 58, 30432, 346, 291, 3454, 2344, 280, 1910, 72, 30432, 346, 291, 630, 32, 18476, 3173, 41648, 978, 3013, 9476, 1572, 2131, 291, 630, 32, 18476, 2913, 26, 67, 2913, 26, 2524, 26, 978, 983, 30, 313, 5353, 1461, 5370, 32, 1645, 14036, 291, 4567, 720, 280, 49047, 3763, 346, 291, 537, 280, 1910, 34233, 41648, 1812, 2131, 291, 4553, 280, 1910, 34233, 41648, 3579, 2131, 291, 3345, 280, 1910, 34233, 41648, 4913, 2131, 291, 5008, 280, 1910, 34233, 41648, 6754, 2131, 291, 4376, 2344, 280, 1910, 72, 30432, 346, 291, 4376, 2344, 32, 21857, 26, 2150, 814, 41648, 6754, 1924, 2610, 291, 4376, 2344, 32, 21857, 26, 3781, 720, 27, 291, 1628, 280, 1910, 2136, 346, 291, 1628, 32, 470, 2136, 4735, 26, 928, 32, 58, 1811, 27, 291, 1628, 32, 470, 2136, 10053, 26, 928, 32, 21605, 915, 27, 291, 1628, 32, 470, 8222, 3024, 26, 35, 34, 27, 291, 4376, 2344, 32, 21857, 26, 928, 27, 291, 2234, 280, 1910, 1241, 2344, 346, 291, 2234, 32, 470, 10507, 26, 39, 27, 291, 2234, 32, 470, 15889, 26, 36, 34, 27, 291, 2234, 32, 470, 7751, 26, 9071, 32, 8427, 4046, 27, 291, 20569, 280, 1910, 13598, 346, 291, 2234, 32, 669, 2352, 41648, 4391, 3568, 7349, 1924, 471, 20569, 27, 291, 4376, 2344, 32, 669, 2344, 26, 599, 27, 291, 2575, 2344, 32, 669, 2344, 26, 1501, 2344, 27, 291, 2575, 2344, 32, 669, 2344, 26, 1640, 2344, 27, 291, 3454, 2344, 32, 21857, 26, 890, 27, 291, 3454, 2344, 32, 21857, 26, 3176, 27, 291, 3454, 2344, 32, 21857, 26, 2546, 27, 291, 3454, 2344, 32, 669, 32588, 346, 291, 3454, 2344, 32, 21857, 26, 3517, 27, 291, 630, 32, 20136, 26, 1831, 2344, 27, 291, 630, 32, 3259, 280, 20569, 291, 630, 32, 890, 280, 537, 291, 630, 32, 3517, 84, 280, 5008, 291, 630, 32, 2546, 280, 3345, 291, 630, 32, 3176, 84, 280, 4553, 291, 630, 32, 3781, 720, 280, 4567, 720, 291, 630, 32, 3176, 280, 630, 32, 3579, 1669, 346, 291, 630, 32, 3517, 47408, 346, 291, 630, 32, 1536, 10979, 280, 2149, 284, 665, 5008, 47408, 26, 784, 711, 291, 630, 32, 3517, 26, 784, 30, 27873, 440, 470, 16796, 2113, 630, 32, 470, 16796, 27, 291, 630, 32, 3517, 26, 784, 32, 890, 30, 27873, 440, 19663, 346, 2113, 630, 32, 9040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 4, 2, 2, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 5, 6, 7, 8, 8, 5, 5, 5, 10, 9, 10, 9, 10, 9, 9, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 9, 11, 10, 11, 9, 6, 6, 10, 9, 10, 10, 8, 8, 4, 4, 7, 6, 6, 8, 8, 8, 4, 4, 7, 6, 6, 8, 8, 8, 4, 4, 7, 8, 8, 7, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8, 7, 9, 9, 9, 11, 11, 12, 12, 11, 11, 13, 13, 13, 13, 13, 13, 4, 4, 7, 6, 6, 8, 8, 4, 4, 6, 6, 8, 8, 12, 12, 4, 4, 6, 6, 8, 8, 12, 12, 4, 4, 6, 6, 8, 8, 12, 12, 4, 4, 6, 6, 8, 8, 12, 12, 4, 4, 7, 6, 6, 8, 8, 8, 4, 4, 8, 7, 8, 7, 9, 9, 9, 13, 13, 11, 4, 4, 8, 7, 8, 7, 8, 8, 7, 4, 4, 6, 6, 8, 8, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 9, 7, 4, 4, 7, 8, 8, 8, 7, 8, 8, 7, 4, 4, 8, 7, 8, 7, 8, 7, 4, 4, 6, 6, 8, 8, 8, 4, 4, 7, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 7, 8, 8, 7, 4, 4, 7, 8, 8, 7, 9, 8, 9, 9, 7, 4, 4, 6, 6, 8, 8, 4, 4, 7, 8, 8, 7, 11, 11, 11, 11, 9, 7, 7, 4, 4, 8, 7, 8, 8, 7, 8, 7, 4, 4, 8, 7, 8, 8, 7, 8, 8, 7, 4, 4, 8, 7, 8, 8, 7, 8, 8, 7, 4, 4, 8, 7, 8, 7, 8, 7, 4, 4, 8, 7, 8, 7, 8, 7, 4, 4, 8, 7, 8, 7, 8, 7, 4, 4, 8, 7, 8, 8, 7, 4, 4, 8, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 8, 7, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 9, 11, 11, 11, 7, 8, 9, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 9, 11, 11, 11, 7, 8, 9 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 3, 3, 0, 3, 3, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 4, 4, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 7, 2, 1, 3, 3, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 5, 2 ]
[ 505, 464, 505, 37346, 5937, 23175, 370, 27, 203, 589, 10128, 23175, 26, 3359, 30, 2186, 558, 47, 2521, 30, 9541, 47, 34, 711, 284, 5881, 5937, 963, 8967, 22585, 101, 645, 312, 273, 4213, 803, 9592, 284, 1188, 2322, 284, 415, 646, 2322, 32, 983, 32, 29712, 26, 3359, 711, 291, 3636, 45338, 463, 2023, 3751, 803, 5461, 101, 14891, 904, 2771, 27, 284, 645, 3639, 4785, 32, 4682, 1439, 32, 4682, 7982, 1188, 3909, 3713, 30, 802, 2611, 284, 645, 3639, 4785, 32, 4682, 1439, 32, 2251, 11299, 1188, 34785, 3713, 284, 645, 3639, 4785, 32, 4682, 2518, 32, 8031, 1188, 21450, 284, 415, 2357, 558, 438, 1665, 44, 291, 2357, 558, 280, 2322, 32, 983, 32, 48271, 26, 500, 32, 983, 32, 15705, 26, 3359, 29856, 34, 79, 284, 343, 317, 3359, 280, 6611, 101, 31, 23175, 31, 5937, 32, 4682, 25, 904, 2357, 558, 284, 273, 4213, 280, 34785, 3713, 26, 2186, 558, 30, 2771, 27, 284, 1224, 280, 273, 4213, 32, 1161, 32, 1594, 705, 23206, 32, 3494, 346, 284, 3909, 3713, 26, 23175, 27, 284, 281, 280, 21450, 26, 86, 317, 3359, 27, 284, 624, 30, 58, 280, 281, 1114, 1637, 891, 284, 1780, 25080, 280, 225, 37, 34, 10065, 1780, 3713, 558, 280, 330, 31218, 25, 284, 2266, 3713, 558, 280, 330, 42547, 25, 284, 13772, 280, 225, 35, 34, 284, 3168, 280, 225, 37, 40, 284, 12211, 34, 280, 802, 2611, 463, 35, 36, 37, 38, 39, 44, 5769, 2357, 558, 30, 13772, 27, 284, 12211, 280, 12211, 34, 29, 36, 34, 284, 13196, 280, 225, 36, 34, 284, 1224, 32, 3323, 346, 284, 533, 280, 225, 34, 284, 1938, 280, 225, 34, 284, 436, 595, 30, 831, 328, 10703, 26, 61, 711, 291, 415, 533, 46, 3478, 44, 324, 415, 1938, 44, 281, 32, 2245, 1969, 346, 324, 1938, 1454, 225, 35, 324, 533, 280, 677, 429, 3168, 429, 1780, 25080, 324, 281, 32, 21643, 26, 1311, 3713, 558, 30, 1780, 25080, 27, 324, 281, 32, 3887, 12280, 1092, 652, 26, 73, 33, 36, 32, 34, 30, 107, 30, 330, 1815, 620, 8922, 904, 101, 6012, 904, 86, 25, 18147, 2186, 558, 30, 1637, 490, 324, 533, 5912, 225, 34, 32, 36, 28, 1311, 25080, 474, 13196, 324, 816, 280, 3168, 291, 281, 32, 21643, 26, 1172, 3713, 558, 30, 225, 35, 34, 27, 291, 281, 32, 3887, 652, 26, 106, 30, 107, 1947, 23, 39, 32, 39, 106, 6078, 904, 831, 829, 291, 281, 32, 21643, 26, 2186, 558, 30, 225, 35, 34, 27, 291, 281, 32, 3887, 652, 26, 106, 29, 4582, 34, 30, 107, 30, 311, 1190, 100, 26, 93, 547, 4434, 463, 3310, 42, 2847, 291, 816, 1454, 12211, 291, 415, 816, 29, 4582, 48, 73, 31, 3478, 44, 324, 816, 280, 3168, 324, 533, 5912, 13196, 284, 281, 32, 2245, 1969, 346, 284, 281, 32, 2853, 346, 284, 415, 9541, 44, 291, 1459, 330, 3713, 904, 101, 4912, 101, 657, 1401, 904, 86, 22585, 101, 78, 1442, 2277, 318, 372, 5461, 101, 14891, 904, 308, 2186, 558, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 5, 5, 5, 3, 0, 1, 1, 2, 2, 3, 2, 4, 4, 3, 4, 2, 2, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 2, 2, 3, 4, 7, 8, 6, 7, 6, 7, 6, 3, 3, 5, 7, 10, 10, 10, 10, 10, 10, 8, 8, 7, 2, 2, 3, 5, 4, 5, 5, 4, 5, 5, 3, 3, 5, 3, 3, 5, 2, 2, 3, 5, 4, 5, 5, 4, 5, 5, 3, 3, 5, 2, 2, 3, 5, 4, 5, 5, 4, 5, 3, 3, 2, 2, 3, 5, 4, 4, 3, 3, 3, 7, 6, 6, 10, 11, 9, 10, 9, 13, 12, 13, 11, 12, 11, 12, 11, 8, 7, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 2, 2, 5, 4, 4, 6, 6, 7, 7, 6, 6, 6, 2, 2, 4, 4, 9, 8, 9, 7, 8, 8, 8, 6, 7, 6, 2, 2, 5, 5, 6, 5, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 5, 6, 4, 4, 5, 6, 6, 2, 2, 5, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 5, 5, 2, 2, 4, 4, 5, 5, 2, 2, 5, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 6, 7, 6, 6, 6, 2, 2, 4, 4, 6, 5, 6, 6, 2, 2, 4, 4, 5, 5, 2, 2, 5, 6, 5, 2, 2, 4, 4, 5, 2, 2, 4, 4, 5, 2, 2, 3, 4, 4, 3, 3, 5, 6, 5, 3, 3, 5, 6, 7, 5, 5, 5, 7, 7, 7, 11, 12, 12, 11, 6, 6, 8, 8, 9, 6, 6, 8, 8, 10, 10, 9, 9, 10, 6, 6, 9, 10, 9, 10, 10, 10, 9, 9, 10, 9, 6, 6, 9, 10, 10, 10, 10, 9, 11, 10, 11, 11, 11, 9, 10, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 11, 12, 11, 6, 6, 8, 8, 11, 11, 11, 10, 11, 11, 9, 9, 6, 6, 8, 8, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 4, 4, 7, 8, 8, 7, 8, 7, 8, 7, 10, 10, 10, 10, 10, 10, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 8, 7, 4, 4, 7, 8, 8, 7, 9, 8, 9, 9, 7, 8, 7, 11, 11, 11, 11, 12, 11, 10, 9, 11, 11, 11, 4, 4, 6, 6, 4, 4, 5, 7, 8, 6, 8, 7, 8, 5, 5, 5, 8, 8, 6, 6, 8, 8, 2, 2, 5, 6, 6, 5, 2, 2, 5, 6, 5, 2, 2, 3, 3, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 7 ]
[ 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 3, 2, 2, 2, 5, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 4, 4, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 0, 1, 2, 2, 1, 4, 4, 3, 3, 0, 3, 3, 0, 4, 4, 4, 0, 1, 2, 2, 1, 4, 4, 4, 4, 0, 4, 4, 5, 0, 1, 2, 2, 1, 4, 5, 5, 4, 4, 6, 0, 1, 1, 6, 6, 6, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 4, 4, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 2, 1, 4, 4, 0, 0, 2, 4, 4, 0, 0, 2, 4, 4, 24, 1, 1, 24, 24, 1, 1, 1, 24, 24, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 3, 3, 0, 0, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 3, 3, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 2, 3, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 2, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 2, 2, 1, 0, 1, 2, 2, 1, 3, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 0, 5, 5, 6, 0, 2, 1, 0, 2, 2, 6, 6, 6, 0, 0, 3, 3, 0, 0, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 27, 27, 27, 27, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2 ]