Search is not available for this dataset
input_ids
listlengths
512
512
attention_mask
listlengths
512
512
depths
listlengths
512
512
sibling_idxs
listlengths
512
512
[ 465, 5741, 203, 465, 2322, 203, 1070, 3363, 1188, 44524, 203, 1070, 7138, 1188, 7138, 203, 1070, 225, 4941, 2304, 37, 1188, 7361, 30, 2043, 203, 1070, 638, 2304, 1188, 1224, 72, 2780, 30, 9823, 30, 47144, 466, 203, 823, 358, 307, 10264, 1240, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 22157, 30, 1256, 30, 3408, 711, 291, 5741, 32, 2811, 440, 15008, 537, 358, 307, 10264, 1240, 30, 904, 101, 392, 22157, 27, 291, 630, 32, 14987, 280, 47144, 466, 26, 14987, 27, 291, 630, 32, 496, 280, 1256, 291, 630, 32, 2035, 280, 3408, 291, 630, 32, 8147, 280, 1605, 284, 665, 7140, 26, 784, 30, 3826, 711, 291, 415, 3826, 646, 328, 630, 32, 8147, 44, 324, 3826, 32, 3707, 32, 669, 26, 784, 32, 14987, 27, 324, 630, 32, 8147, 32, 1689, 26, 3237, 27, 284, 665, 1742, 26, 784, 30, 3826, 711, 291, 415, 3826, 328, 630, 32, 8147, 44, 324, 3826, 32, 3707, 32, 2546, 26, 784, 32, 14987, 27, 324, 630, 32, 8147, 32, 2546, 26, 3237, 27, 284, 665, 22438, 26, 784, 711, 291, 436, 281, 328, 630, 32, 8147, 44, 324, 281, 32, 3707, 32, 2546, 26, 784, 32, 14987, 27, 291, 630, 32, 8147, 280, 1605, 284, 665, 1539, 81, 14987, 26, 784, 30, 22157, 711, 291, 3610, 81, 14987, 280, 630, 32, 14987, 291, 630, 32, 14987, 280, 47144, 466, 26, 14987, 27, 291, 436, 281, 328, 630, 32, 8147, 44, 324, 281, 32, 3707, 32, 2546, 26, 1455, 81, 14987, 27, 324, 281, 32, 3707, 32, 669, 26, 784, 32, 14987, 27, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 19436, 19, 2537, 50, 40637, 1643, 26, 784, 32, 14987, 30, 630, 32, 496, 30, 630, 32, 2035, 27, 284, 665, 1156, 13707, 3207, 784, 711, 291, 1779, 280, 3778, 69, 307, 10264, 1240, 2149, 19, 2537, 50, 2537, 328, 11022, 2149, 5844, 291, 442, 1779, 32, 1643, 26, 784, 32, 14987, 30, 630, 32, 496, 30, 630, 32, 2035, 30, 630, 32, 8147, 27, 203, 823, 358, 307, 10264, 3525, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 4250, 30, 1245, 81, 891, 47, 35, 34, 34, 711, 291, 630, 32, 426, 280, 47144, 466, 26, 426, 27, 291, 630, 32, 3707, 280, 4250, 291, 630, 32, 1436, 81, 751, 280, 1605, 291, 630, 1114, 751, 81, 891, 280, 1245, 81, 891, 284, 665, 1245, 81, 1436, 26, 784, 30, 1256, 30, 1474, 711, 291, 415, 6937, 26, 496, 30, 358, 307, 10264, 1240, 711, 324, 1256, 280, 1256, 32, 14987, 291, 4348, 646, 6937, 26, 496, 30, 47144, 466, 711, 324, 1256, 280, 47144, 466, 26, 496, 27, 291, 1133, 280, 7138, 32, 44026, 346, 291, 630, 32, 1436, 81, 751, 32, 1689, 1162, 1003, 30, 1256, 30, 1474, 490, 291, 2218, 2069, 26, 784, 32, 1436, 81, 751, 27, 848, 630, 1114, 751, 81, 891, 44, 324, 3555, 630, 32, 1436, 81, 751, 77, 34, 79, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 596, 26, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 7, 8, 6, 6, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 6, 7, 8, 5, 5, 5, 10, 11, 9, 10, 9, 11, 10, 11, 9, 6, 6, 10, 11, 9, 10, 9, 10, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 5, 5, 5, 10, 11, 9, 10, 9, 11, 10, 11, 9, 6, 6, 10, 11, 9, 10, 9, 10, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 5, 5, 6, 7, 5, 5, 5, 10, 11, 9, 10, 9, 11, 10, 11, 9, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 7, 8, 4, 4, 7, 8, 6, 6, 8, 8, 9, 8, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 10, 11, 9, 10, 9, 10, 10, 10, 9, 6, 6, 10, 11, 9, 10, 9, 11, 10, 11, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 9, 9, 9, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 7, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 6, 6, 4, 3, 3, 7, 8, 6, 6, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 8, 8, 8, 7, 5, 5, 8, 8, 9, 10, 5, 5, 6, 7, 9, 10, 9, 9, 10, 9, 6, 6, 9, 9, 11, 11, 12, 11, 4, 4, 6, 6, 8, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 8, 8, 8, 8, 8, 4, 4, 5, 8, 10, 9, 10, 10, 10, 8, 6, 6, 7, 8, 8, 8, 5, 5, 5, 7, 9, 10, 10, 10, 8, 9, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 2, 0, 2, 1, 1, 1, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 0, 3, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 2, 2, 2, 3, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 5, 5, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 5, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 6, 1, 1, 1, 2, 6, 6, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 1, 0, 0, 0, 0, 2, 2, 0, 0, 4, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 0, 0, 2, 2, 2, 1, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1 ]
[ 1070, 8527, 32, 2957, 32, 11400, 1188, 1984, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 2194, 34747, 203, 1070, 273, 633, 2983, 1075, 1188, 3829, 619, 1695, 81, 4151, 30, 1913, 203, 1070, 273, 633, 2983, 1075, 32, 2304, 1188, 19938, 81, 16227, 203, 1070, 273, 633, 2983, 1075, 32, 6460, 1188, 11328, 203, 1070, 273, 633, 2983, 1075, 81, 17022, 3483, 1188, 3829, 203, 1070, 2340, 1040, 32, 3922, 1188, 3185, 203, 1070, 5296, 32, 1237, 32, 2304, 1188, 38363, 2291, 203, 1070, 10558, 2265, 32, 3378, 1188, 676, 500, 3633, 1151, 30, 18131, 527, 19092, 81, 13387, 69, 203, 1070, 10558, 2265, 32, 1237, 32, 1427, 1188, 37884, 66, 81, 6016, 203, 505, 464, 505, 280, 308, 284, 330, 72, 500, 3633, 1151, 2291, 370, 203, 27, 203, 823, 3903, 6312, 26, 6312, 711, 284, 665, 438, 81, 1327, 26, 784, 30, 9914, 30, 1326, 47, 2521, 711, 291, 645, 8527, 32, 2304, 32, 18218, 1188, 438, 81, 3258, 661, 291, 3878, 280, 2149, 291, 436, 1600, 328, 2107, 1366, 370, 330, 416, 12132, 324, 706, 280, 9914, 32, 605, 32, 371, 26, 1495, 27, 324, 415, 646, 706, 32, 371, 463, 770, 370, 1665, 27, 461, 646, 706, 32, 371, 463, 6665, 370, 1665, 711, 400, 3878, 710, 505, 464, 505, 785, 280, 3037, 3582, 432, 330, 770, 25, 461, 330, 6665, 25, 2298, 526, 739, 28250, 324, 4348, 706, 32, 371, 463, 770, 370, 1665, 27, 461, 706, 32, 371, 463, 6665, 370, 1665, 711, 400, 3878, 710, 505, 464, 505, 785, 280, 3037, 4495, 1591, 432, 330, 770, 25, 461, 330, 6665, 25, 2298, 526, 739, 32, 886, 330, 770, 25, 1600, 438, 1654, 436, 1169, 31, 3368, 5216, 28250, 324, 4348, 706, 32, 371, 463, 6665, 370, 1665, 27, 461, 438, 81, 3258, 661, 26, 2208, 26, 605, 32, 371, 463, 6665, 21180, 461, 646, 706, 32, 371, 463, 18218, 370, 1665, 711, 400, 3878, 710, 6665, 785, 280, 3037, 51, 22158, 3401, 438, 2129, 415, 646, 3191, 328, 322, 330, 18218, 25, 1600, 1446, 291, 442, 3878, 203, 823, 676, 500, 3633, 1151, 2291, 26, 16897, 2291, 711, 284, 2287, 280, 1695, 81, 4151, 32, 16357, 26, 291, 3879, 1057, 1517, 370, 291, 744, 47, 1815, 30, 291, 11771, 47, 1815, 30, 291, 3049, 81, 878, 47, 31528, 81, 6016, 710, 104, 500, 3633, 81, 1567, 4902, 1517, 785, 284, 829, 284, 3272, 81, 269, 280, 1695, 81, 4151, 32, 36172, 26, 291, 3879, 1057, 4524, 81, 269, 370, 291, 4283, 47, 1815, 30, 291, 3049, 81, 878, 47, 31528, 81, 6016, 710, 104, 500, 3633, 81, 1567, 4902, 4524, 81, 269, 785, 284, 829, 284, 4459, 81, 269, 280, 1695, 81, 4151, 32, 36172, 26, 291, 3879, 1057, 6368, 81, 269, 370, 291, 4283, 47, 1815, 30, 291, 3049, 81, 878, 47, 31528, 81, 6016, 710, 104, 500, 3633, 81, 1567, 4902, 6368, 81, 269, 785, 284, 829, 284, 8822, 280, 1695, 81, 4151, 32, 16357, 26, 291, 3879, 1057, 1367, 370, 291, 3049, 81, 878, 47, 31528, 81, 6016, 710, 104, 500 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 7, 6, 7, 5, 5, 7, 7, 7, 4, 4, 6, 6, 4, 4, 5, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 11, 12, 10, 11, 10, 11, 10, 6, 6, 7, 9, 11, 12, 11, 13, 13, 11, 11, 8, 8, 9, 11, 12, 11, 13, 13, 11, 11, 7, 7, 11, 13, 13, 13, 13, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 7, 7, 8, 11, 12, 11, 13, 13, 11, 11, 9, 9, 11, 12, 11, 13, 13, 11, 11, 8, 8, 12, 14, 14, 14, 14, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 7, 7, 8, 12, 13, 12, 14, 14, 12, 12, 10, 10, 12, 12, 12, 12, 14, 14, 17, 16, 17, 16, 18, 18, 9, 9, 10, 12, 13, 12, 14, 14, 12, 12, 8, 8, 12, 14, 14, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 7, 7, 6, 7, 6, 6, 6, 7, 9, 9, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 6, 8, 8, 7, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 10, 10, 6, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 6, 6, 7, 9, 9, 9, 9, 6, 6, 7, 8, 6, 6, 6, 8, 8, 7, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 10, 10, 10, 10, 6, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 6, 6, 7, 9, 9, 9, 9, 6, 6, 7, 8, 6, 6, 6, 8, 8, 7, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 10, 10, 10, 10, 6, 6, 2, 2, 4, 4, 7, 7, 6, 7, 6, 6, 6, 7, 9, 9, 6, 6, 8, 8, 7, 10, 10, 10, 9, 11, 11 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 3, 3, 2, 2, 2, 2, 0, 3, 3, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 9, 9, 0, 1, 2, 1, 4, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 11, 11, 1, 2, 1, 2, 11, 11, 0, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 5, 5, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 1, 1, 1, 2, 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, 5, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 5, 5, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 12, 12, 1, 1, 1, 1, 2, 1, 1, 2, 12, 12, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 1, 0, 0, 7, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 0, 0, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 0, 0, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 0, 0, 0, 0, 1, 1 ]
[ 1277, 765, 20, 505, 2116, 505, 264, 280, 313, 2185, 42740, 488, 9543, 20, 203, 505, 1427, 1643, 505, 280, 313, 929, 107, 878, 931, 20, 203, 505, 464, 505, 958, 280, 2107, 2963, 370, 330, 24366, 785, 203, 21, 26045, 29519, 27823, 1188, 20639, 1167, 30, 1671, 81, 3560, 1734, 203, 823, 617, 10911, 26, 1473, 711, 284, 3330, 261, 2080, 81, 8395, 280, 1404, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 711, 291, 3330, 958, 630, 32, 1327, 81, 8395, 280, 2181, 291, 436, 2404, 328, 630, 32, 1327, 81, 8395, 44, 324, 39506, 26, 784, 30, 2404, 32, 4434, 463, 352, 31, 14510, 1425, 2404, 27, 203, 24366, 280, 617, 10911, 463, 3375, 370, 330, 4641, 2342, 370, 330, 809, 370, 330, 11200, 683, 203, 16689, 280, 617, 10911, 26, 103, 25, 7134, 370, 1044, 25, 1347, 370, 1044, 25, 3617, 683, 203, 2245, 1325, 280, 617, 10911, 26, 103, 25, 7134, 370, 1044, 25, 1347, 370, 1044, 25, 3780, 1536, 683, 203, 589, 2350, 9653, 26, 1166, 711, 284, 3330, 261, 2181, 280, 301, 291, 330, 1166, 25, 647, 499, 5122, 30, 291, 330, 681, 1110, 25, 264, 499, 1671, 81, 3560, 1734, 32, 681, 1110, 30, 291, 330, 1382, 81, 7910, 950, 301, 324, 7610, 426, 25, 7188, 499, 330, 9941, 370, 324, 7610, 589, 81, 979, 81, 13825, 25, 2407, 499, 330, 7920, 370, 324, 7610, 589, 81, 979, 81, 8478, 25, 2407, 499, 330, 7920, 370, 324, 330, 979, 81, 13825, 25, 5688, 499, 2726, 7920, 370, 647, 5053, 1110, 950, 2933, 13431, 324, 330, 979, 81, 8478, 25, 5688, 499, 2726, 7920, 370, 647, 5053, 1110, 950, 2933, 13431, 324, 330, 10444, 81, 8478, 25, 2850, 499, 2726, 7920, 370, 647, 5053, 1110, 950, 2933, 13431, 324, 330, 3617, 81, 325, 81, 2455, 81, 8933, 25, 264, 499, 330, 18184, 2420, 370, 324, 330, 2245, 81, 3780, 19807, 81, 8478, 25, 262, 499, 2726, 1956, 370, 12928, 5053, 1110, 950, 2933, 30, 3391, 330, 11327, 950, 37773, 32, 1327, 81, 8395, 13431, 324, 330, 3375, 81, 6250, 81, 2387, 25, 264, 499, 2726, 9941, 370, 264, 5053, 1110, 950, 2933, 13431, 324, 330, 4641, 2342, 81, 6250, 81, 2387, 950, 2726, 9941, 370, 264, 5053, 1110, 950, 2933, 13431, 324, 330, 809, 81, 6250, 81, 2387, 25, 647, 499, 2726, 9941, 370, 264, 5053, 1110, 950, 2933, 13431, 324, 330, 11200, 81, 6250, 81, 2387, 25, 264, 499, 2726, 9941, 370, 264, 5053, 1110, 950, 2933, 13431, 324, 330, 3375, 81, 6250, 81, 4254, 25, 647, 499, 2726, 9941, 370, 12928, 5053, 18114, 950, 2933, 30, 330, 1110, 950, 2933, 13431, 324, 330, 4641, 2342, 81, 6250, 81, 4254, 25, 225, 499, 2726, 9941, 370, 12928, 5053, 18114, 950, 2933, 30, 330, 1110, 950, 2933, 13431, 324, 330, 809, 81, 6250, 81, 4254, 25, 351, 499, 2726, 9941, 370, 12928, 5053, 18114, 950, 2933, 30, 330, 1110, 950, 2933, 13431, 324, 330, 11200, 81, 6250, 81, 4254, 25, 647, 499, 2726, 9941, 370, 12928, 5053, 18114, 950, 2933, 30, 330, 1110, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 3, 1, 1, 4, 1, 5, 5, 5, 4, 5, 2, 3, 4, 4, 4, 5, 4, 5, 6, 3, 3, 6, 3, 8, 7, 8, 8, 8, 6, 7, 4, 5, 6, 5, 7, 6, 7, 7, 7, 5, 5, 9, 9, 10, 9, 12, 11, 12, 13, 13, 13, 13, 9, 10, 9, 0, 3, 2, 4, 4, 6, 6, 4, 6, 6, 6, 4, 6, 6, 4, 6, 6, 4, 0, 3, 2, 4, 4, 4, 6, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 4, 0, 3, 3, 2, 4, 4, 4, 6, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 6, 4, 0, 1, 2, 2, 2, 3, 1, 2, 5, 2, 3, 2, 2, 2, 5, 5, 5, 3, 3, 4, 2, 2, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 4, 5, 5, 2, 2, 4, 4, 4, 4, 2, 2, 2, 5, 5, 5, 3, 3, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 2, 2, 5, 5, 5, 5, 5, 3, 3, 6, 6, 4, 4, 8, 8, 6, 7, 2, 2, 5, 5, 5, 5, 5, 3, 3, 6, 6, 4, 4, 8, 8, 6, 7, 2, 2, 5, 5, 5, 5, 5, 3, 3, 6, 6, 4, 4, 8, 8, 6, 7, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 6, 6, 4, 4, 8, 8, 6, 7, 5, 5, 8, 8, 6, 8, 7, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 3, 3, 6, 6, 4, 4, 8, 8, 6, 7, 2, 2, 5, 5, 5, 5, 5, 5, 5, 3, 6, 6, 4, 4, 8, 8, 6, 7, 2, 2, 5, 5, 5, 5, 5, 5, 5, 3, 3, 6, 6, 4, 4, 8, 8, 6, 7, 2, 2, 5, 5, 5, 5, 5, 5, 5, 3, 3, 6, 6, 4, 4, 8, 8, 6, 7, 2, 2, 5, 5, 5, 5, 5, 5, 5, 3, 3, 6, 6, 4, 4, 8, 8, 6, 7, 5, 8, 8, 6, 7, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 6, 6, 4, 4, 8, 8, 6, 7, 5, 8, 8, 6, 7, 2, 2, 5, 5, 5, 5, 5, 5, 5, 3, 3, 6, 6, 4, 4, 8, 8, 6, 7, 5, 8, 8, 6, 7, 2, 2, 5, 5, 5, 5, 5, 5, 5, 3, 3, 6, 6, 4, 4, 8, 8, 6, 7, 5, 8, 8 ]
[ 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, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 4, 1, 1, 2, 1, 4, 4, 1, 4, 0, 0, 0, 0, 2, 5, 1, 1, 1, 2, 1, 2, 3, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 5, 1, 1, 1, 0, 3, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 5, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 8, 1, 1, 2, 1, 8, 4, 1, 4, 1, 4, 4, 4, 0, 1, 2, 4, 4, 2, 4, 4, 0, 1, 1, 2, 6, 6, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 1, 1, 1, 4, 4, 4, 1, 1, 2, 11, 11, 0, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 13, 13, 0, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 15, 15, 0, 1, 4, 4, 0, 1, 1, 1, 2, 17, 17, 0, 1, 2, 2, 0, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 19, 19, 0, 1, 2, 2, 0, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 21, 21, 0, 1, 2, 2, 0, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 23, 23, 0, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 25, 25, 0, 1, 2, 2, 0, 1, 1, 2, 3, 3, 0, 1, 3, 0, 2, 2, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 27, 27, 0, 1, 2, 2, 0, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 29, 0, 1, 2, 2, 0, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 31, 31, 0, 1, 2, 2, 0, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 33, 33, 0, 1, 2, 2, 0, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 35, 35, 0, 1, 2, 2, 0, 1, 1, 2, 3, 0, 1, 3, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 37, 37, 0, 1, 2, 2, 0, 1, 1, 2, 3, 0, 1, 3, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 39, 39, 0, 1, 2, 2, 0, 1, 1, 2, 3, 0, 1, 3, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 41, 41, 0, 1, 2, 2, 0, 1, 1, 2, 3, 0, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 1070, 13625, 1188, 33953, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 6550, 81, 2848, 81, 1945, 81, 12329, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 11903, 203, 1070, 10214, 648, 267, 81, 1356, 32, 37491, 32, 12329, 32, 2304, 1188, 883, 81, 1945, 81, 7133, 203, 823, 6564, 3533, 6485, 265, 9824, 26, 6390, 81, 2848, 81, 1945, 81, 12329, 32, 4455, 3533, 6485, 265, 9824, 711, 284, 3097, 203, 823, 11898, 11196, 9824, 26, 6390, 81, 2848, 81, 1945, 81, 12329, 32, 9782, 11196, 9824, 711, 284, 3097, 203, 823, 12305, 5125, 3567, 9359, 9824, 26, 22574, 1114, 6495, 5125, 3567, 9359, 9824, 711, 10065, 3097, 203, 823, 35045, 7929, 9824, 26, 6390, 81, 2848, 81, 1945, 81, 12329, 32, 23490, 7929, 9824, 711, 284, 665, 2670, 81, 1945, 26, 784, 30, 1420, 81, 1819, 711, 16189, 415, 883, 81, 1945, 81, 7133, 26, 1945, 81, 1819, 711, 324, 442, 2599, 26, 23490, 7929, 9824, 30, 630, 547, 5553, 81, 1945, 26, 1945, 81, 1819, 27, 291, 442, 1665, 284, 665, 2685, 81, 1945, 26, 784, 30, 1420, 81, 1819, 30, 1420, 81, 2810, 711, 291, 415, 883, 81, 1945, 81, 7133, 26, 1945, 81, 1819, 711, 324, 442, 2599, 26, 23490, 7929, 9824, 30, 630, 547, 5483, 81, 1945, 26, 1945, 81, 1819, 30, 1420, 81, 2810, 27, 203, 28349, 81, 29243, 69, 280, 33953, 2009, 284, 2726, 4455, 3533, 6485, 265, 9824, 370, 6564, 3533, 6485, 265, 9824, 471, 284, 2726, 9782, 11196, 9824, 370, 11898, 11196, 9824, 471, 284, 2726, 6495, 5125, 3567, 9359, 9824, 370, 12305, 5125, 3567, 9359, 9824, 471, 284, 2726, 23490, 7929, 9824, 370, 35045, 7929, 9824, 27, 203, 1130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 1, 1, 0, 1, 1, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 4, 4, 2, 1, 1, 0, 1, 1, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 7, 7, 7, 7, 7, 8, 8, 8, 7, 5, 5, 7, 11, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 10, 10, 10, 9, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 7, 7, 7, 7, 7, 8, 8, 8, 7, 5, 5, 7, 11, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 10, 10, 10, 9, 9, 10, 10, 9, 0, 3, 3, 3, 3, 2, 2, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 7, 7, 7, 6, 5, 5, 8, 8, 8, 8, 6, 7, 7, 6, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 7, 7, 7, 6, 5, 5, 8, 8, 8, 8, 6, 7, 7, 6, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 0, 0, 0, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 5, 5, 0, 6, 6, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 6, 6, 0, 7, 7, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 7, 7, 0, 8, 8, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 8, 8, 0, 1, 1, 2, 1, 2, 2, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 5, 3, 3, 3, 3, 5, 1, 1, 1, 1, 1, 2, 7, 3, 3, 7, 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 ]
[ 465, 5237, 30, 2322, 203, 465, 7138, 203, 9081, 280, 2107, 26275, 32, 407, 32, 4846, 431, 542, 785, 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, 2250, 280, 330, 11025, 81, 2472, 2376, 25, 203, 11794, 280, 6611, 86, 30, 34963, 20349, 265, 549, 551, 2327, 34521, 447, 8017, 7074, 941, 9827, 25, 904, 7138, 32, 770, 32, 16003, 922, 4548, 203, 1270, 44, 284, 645, 20918, 271, 1188, 1156, 1648, 505, 284, 1503, 280, 5608, 2473, 2524, 4064, 1648, 9818, 2998, 36909, 2867, 36, 1130, 284, 3621, 280, 1156, 1648, 505, 203, 7343, 29986, 44, 284, 1503, 280, 3621, 280, 330, 1902, 25, 203, 10444, 81, 21608, 280, 2107, 81, 1832, 785, 203, 978, 32725, 81, 1621, 280, 330, 26275, 25, 203, 916, 81, 4661, 280, 330, 1536, 25, 203, 916, 81, 1574, 81, 983, 280, 2107, 81, 1574, 785, 203, 916, 4756, 81, 15705, 280, 330, 15213, 14331, 1427, 25, 203, 24189, 81, 17274, 280, 428, 334, 2726, 1055, 370, 330, 15213, 3968, 32, 8581, 370, 330, 15213, 3968, 16944, 370, 664, 330, 1027, 13153, 20349, 265, 370, 330, 12505, 1425, 203, 79, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 0, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 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, 0, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 7, 8, 6, 7, 6, 5, 0, 1, 1, 1, 1, 3, 5, 3, 3, 5, 5, 2, 2, 4, 4, 8, 7, 6, 10, 10, 10, 9, 7, 9, 7, 2, 2, 4, 4, 5, 5, 1, 2, 2, 2, 2, 2, 5, 5, 6, 6, 8, 8, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 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, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 8, 3, 3, 3, 3, 3, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8527, 32, 36287, 1188, 2908, 30, 5668, 203, 1070, 8527, 32, 4338, 32, 28497, 32, 14250, 1188, 23049, 81, 327, 30816, 203, 1070, 8527, 32, 12023, 32, 2393, 1188, 21307, 30, 6207, 30, 20641, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 28497, 1188, 6207, 81, 3648, 203, 1070, 4250, 32, 3378, 1188, 3367, 3699, 30, 27379, 203, 1070, 2287, 32, 3378, 1188, 5400, 203, 1070, 2899, 32, 3378, 1188, 4187, 203, 465, 7138, 203, 1070, 3709, 21234, 32, 3378, 1188, 12426, 21234, 383, 12439, 30, 12426, 21234, 383, 4625, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 50, 14250, 81, 327, 30816, 203, 589, 6207, 81, 1637, 26, 1357, 711, 284, 442, 2908, 26, 1357, 30, 330, 3615, 32, 916, 683, 203, 50, 14250, 81, 327, 30816, 203, 589, 6207, 81, 2393, 26, 1357, 711, 284, 2364, 81, 605, 280, 1326, 32, 3705, 284, 1459, 26, 1526, 81, 605, 27, 284, 415, 330, 699, 25, 461, 330, 2895, 25, 328, 2364, 81, 605, 44, 291, 1459, 26, 1526, 81, 605, 710, 699, 3490, 291, 1459, 26, 1526, 81, 605, 710, 2895, 3490, 291, 1256, 280, 21307, 26, 699, 47, 1526, 81, 605, 710, 699, 2188, 3882, 47, 1526, 81, 605, 710, 2895, 3490, 291, 415, 1256, 438, 646, 1665, 44, 324, 415, 1256, 32, 297, 81, 2480, 44, 400, 6207, 26, 1357, 30, 1256, 27, 400, 1326, 32, 2848, 710, 496, 785, 280, 2364, 81, 605, 710, 699, 785, 400, 415, 1256, 32, 297, 81, 39744, 44, 528, 736, 280, 5668, 3247, 2300, 683, 400, 813, 44, 528, 736, 280, 5668, 24667, 324, 813, 44, 400, 736, 280, 2908, 26, 1357, 30, 330, 3615, 32, 916, 370, 6035, 5053, 19716, 950, 2933, 30, 4985, 330, 878, 950, 330, 1318, 3882, 438, 2080, 30, 1273, 322, 3497, 1401, 2583, 6869, 19, 18143, 291, 813, 44, 324, 736, 280, 2908, 26, 1357, 30, 330, 3615, 32, 916, 370, 656, 5053, 19716, 950, 2933, 30, 3775, 330, 878, 950, 330, 1318, 952, 461, 3882, 844, 1159, 20087, 438, 646, 3809, 32, 5294, 11322, 18143, 284, 813, 44, 291, 736, 280, 2908, 26, 1357, 30, 330, 3615, 32, 916, 370, 5053, 19716, 950, 3177, 1748, 284, 736, 710, 2791, 31, 2422, 31, 6668, 31, 9009, 785, 280, 30156, 284, 736, 710, 2791, 31, 2422, 31, 6668, 31, 6267, 785, 280, 313, 9009, 30, 1593, 31, 14815, 31, 1554, 30, 6256, 31, 620, 30, 16217, 20, 284, 736, 710, 2791, 31, 2422, 31, 6668, 31, 8891, 785, 280, 313, 4747, 30, 6272, 30, 8083, 30, 14803, 30, 37478, 20, 284, 442, 736, 203, 589, 20641, 81, 2174, 26, 1357, 711, 284, 20641, 26, 1357, 27, 284, 442, 5668, 3247, 3615, 683, 203, 50, 3615, 81, 3648, 26, 3615, 81, 965, 20183, 3615, 25844, 203, 589, 6765, 26, 1357, 711, 284, 1938, 81, 1311, 280, 330, 4625, 25, 284, 1256, 280, 1326, 32, 2848, 710, 496, 785, 284, 415, 646, 3367, 3699, 32, 5740, 32, 4658, 2262, 291, 1459, 26, 1357, 32, 2848, 710, 496, 3490, 291, 537, 81, 1517, 280, 5400 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 2, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 4, 6, 7, 6, 6, 8, 8, 8, 8, 0, 2, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 6, 6, 5, 5, 6, 7, 3, 3, 6, 7, 7, 7, 6, 3, 3, 4, 7, 7, 5, 5, 8, 8, 6, 6, 7, 7, 4, 4, 4, 8, 10, 10, 10, 9, 11, 11, 5, 5, 8, 10, 10, 10, 9, 11, 11, 5, 5, 7, 7, 9, 11, 10, 12, 12, 12, 11, 13, 13, 9, 10, 12, 12, 12, 11, 13, 13, 5, 5, 6, 7, 7, 7, 6, 6, 6, 8, 9, 10, 10, 10, 8, 8, 8, 12, 13, 12, 12, 12, 9, 9, 13, 14, 12, 14, 14, 11, 11, 13, 13, 12, 14, 14, 9, 9, 10, 11, 12, 12, 12, 10, 10, 10, 13, 13, 15, 17, 17, 10, 10, 11, 11, 11, 14, 14, 16, 8, 8, 9, 9, 9, 12, 12, 14, 15, 14, 14, 16, 16, 16, 16, 14, 14, 18, 18, 16, 15, 15, 15, 18, 18, 16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 6, 6, 7, 7, 7, 10, 10, 12, 13, 12, 12, 14, 14, 14, 14, 12, 12, 16, 16, 14, 13, 13, 13, 16, 16, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 4, 4, 5, 5, 5, 8, 8, 10, 11, 10, 10, 12, 12, 12, 12, 10, 14, 14, 12, 11, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 6, 5, 2, 2, 3, 5, 7, 7, 0, 2, 4, 4, 4, 4, 6, 6, 6, 5, 7, 7, 1, 2, 2, 3, 4, 3, 2, 2, 6, 6, 5, 5, 7, 7, 3, 3, 5, 5, 7, 8, 6, 8, 8, 3, 3, 4, 5, 9, 8, 9, 7, 8, 7, 4, 4, 8, 11, 10, 11, 9, 11, 11, 5, 5, 8, 8, 7, 7 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 2, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 9, 9, 1, 2, 1, 4, 1, 6, 9, 9, 0, 0, 1, 1, 1, 1, 10, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 11, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 4, 4, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 3, 3, 1, 0, 0, 0, 1, 1, 2, 3, 3, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 3, 0, 0, 0, 2, 1, 2, 3, 3, 3, 1, 1, 1, 3, 3, 3, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 4, 4, 4, 0, 0, 1, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 5, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 5, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 5, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 1, 1, 1, 4, 4, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 13, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 4, 4, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0 ]
[ 2897, 280, 2933, 203, 17143, 81, 2897, 280, 9399, 203, 15816, 69, 280, 308, 203, 27, 203, 10656, 1614, 9135, 280, 43101, 69, 203, 465, 2322, 203, 325, 330, 8094, 81, 27096, 25, 328, 2322, 32, 12757, 44, 284, 645, 309, 3633, 32, 913, 1188, 308, 291, 41172, 81, 8472, 30, 41172, 81, 3624, 30, 41172, 81, 4975, 30, 41172, 81, 9691, 30, 41172, 81, 1996, 284, 829, 203, 1824, 44, 284, 41172, 81, 8472, 280, 330, 5007, 25, 284, 41172, 81, 3624, 280, 330, 37, 37, 34, 40, 25, 284, 41172, 81, 4975, 280, 330, 2388, 25, 284, 41172, 81, 9691, 280, 330, 35, 36, 37, 25, 284, 41172, 81, 1996, 261, 280, 330, 17726, 289, 25, 203, 20528, 69, 280, 301, 284, 330, 1536, 950, 301, 291, 330, 28137, 950, 261, 330, 11025, 32, 1199, 32, 11514, 32, 7534, 370, 291, 330, 2474, 950, 262, 41172, 81, 1996, 30, 291, 330, 4975, 950, 262, 41172, 81, 4975, 30, 291, 330, 13001, 950, 41172, 81, 9691, 30, 291, 330, 8472, 950, 262, 41172, 81, 8472, 30, 291, 330, 3624, 950, 262, 41172, 81, 3624, 30, 284, 320, 203, 111, 203, 4804, 81, 27368, 280, 330, 29521, 33, 828, 37147, 25, 203, 34801, 81, 3521, 280, 330, 272, 31, 352, 25, 203, 24819, 81, 779, 280, 225, 35, 203, 4855, 81, 59, 35, 42, 64, 280, 2933, 203, 4855, 81, 62, 35, 34, 64, 280, 2933, 203, 4855, 81, 19508, 280, 2933, 203, 21512, 81, 7789, 280, 4247, 203, 21512, 81, 2413, 280, 4247, 203, 14673, 81, 7789, 280, 330, 1574, 7404, 203, 14673, 81, 2413, 280, 3056, 1574, 7404, 203, 14673, 14137, 81, 31254, 280, 308, 203, 27, 203, 14673, 14137, 81, 24714, 9135, 280, 308, 284, 330, 11025, 32, 12023, 32, 1574, 2536, 32, 1809, 483, 32, 13871, 15882, 370, 284, 330, 11025, 32, 12023, 32, 1574, 2536, 32, 1809, 483, 32, 1290, 26084, 15882, 370, 203, 27, 203, 17252, 81, 3307, 280, 5307, 41, 35923, 101, 37736, 96, 19, 7547, 92, 1775, 104, 50, 88, 23, 88, 38, 24, 757, 45, 7547, 29, 21, 6917, 42, 27, 37, 97, 19, 39, 92, 31, 86, 7374, 297, 36, 4718, 105, 19, 43, 106, 39, 98, 25, 203, 17143, 81, 5696, 9135, 280, 308, 284, 330, 11025, 32, 2387, 32, 38150, 32, 18290, 32, 4888, 370, 284, 330, 11025, 32, 2387, 32, 38150, 32, 725, 81, 24015, 32, 4888, 370, 203, 27, 203, 47589, 35291, 81, 36850, 280, 308, 284, 330, 11025, 32, 11202, 32, 2282, 32, 5240, 11063, 370, 284, 330, 11025, 32, 12023, 32, 18780, 32, 11202, 32, 3135, 11063, 370, 284, 330, 11025, 32, 11202, 32, 14250, 32, 17528, 4918, 1074, 11063, 370, 284, 330, 11025, 32, 12023, 32, 2393, 32, 11202, 32, 8161, 11063, 370, 284, 330, 11025, 32, 12023, 32, 6286, 32, 11202, 32, 1175, 11063, 370, 203, 27, 203, 7789, 81, 2413, 14594, 280, 330, 17726, 289, 32, 11400, 25, 203, 3951, 14819, 81, 16258, 280, 330, 17726, 289, 32, 46674, 32, 3164, 25, 203, 465, 2322, 32, 983, 203, 17143, 81, 31254, 280, 308 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 0, 1, 1, 0, 1, 1, 4, 4, 4, 4, 2, 2, 3, 4, 1, 1, 1, 3, 5, 4, 5, 3, 3, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 1, 2, 2, 2, 2, 6, 6, 5, 5, 7, 7, 3, 3, 6, 6, 5, 5, 7, 7, 7, 7, 7, 3, 3, 6, 6, 5, 5, 7, 7, 3, 3, 6, 6, 5, 5, 7, 7, 7, 7, 3, 3, 6, 6, 5, 5, 5, 7, 7, 7, 0, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 6, 7, 7, 5, 5, 5, 8, 8, 6, 6, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 6, 7, 7, 5, 5, 5, 8, 8, 6, 6, 7, 7, 5, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 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, 5, 5, 5, 5, 3, 3, 0, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 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, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 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, 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, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 3, 0, 3, 3, 3, 2, 2 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 4, 4, 0, 5, 5, 1, 1, 1, 2, 1, 1, 2, 2, 5, 5, 5, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 4, 4, 4, 4, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 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, 3, 2, 2, 2, 2, 2, 1, 2, 5, 5, 2, 2, 2, 2, 2, 1, 2, 7, 2, 2, 2, 2, 2, 1, 2, 9, 9, 2, 2, 2, 2, 2, 1, 2, 11, 11, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 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, 1, 1, 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, 2, 2, 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, 1, 1, 2, 2, 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, 2, 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, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 24, 24, 1, 2, 0, 0, 0, 0, 0, 0 ]
[ 465, 5741, 203, 465, 25630, 225, 203, 465, 485, 1473, 203, 465, 298, 4614, 203, 1070, 25630, 1855, 1071, 36, 1188, 4328, 619, 38092, 2028, 1074, 203, 1070, 1968, 444, 1188, 5238, 444, 203, 1070, 3223, 1188, 12012, 203, 1070, 10719, 81, 3854, 1188, 21766, 3763, 203, 823, 1565, 329, 1669, 21315, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 554, 329, 81, 3518, 30, 5868, 47, 35, 711, 291, 630, 32, 37132, 81, 3518, 280, 554, 329, 81, 3518, 291, 630, 32, 4680, 280, 225, 34, 291, 485, 1473, 32, 5457, 81, 669, 81, 6360, 26, 5457, 30, 630, 32, 4383, 27, 284, 665, 3309, 26, 784, 711, 291, 630, 32, 4680, 1454, 225, 35, 291, 415, 646, 630, 32, 37132, 81, 3518, 32, 3518, 32, 371, 81, 7891, 2262, 324, 442, 3177, 291, 630, 32, 37132, 81, 3518, 32, 1877, 81, 13968, 81, 381, 346, 291, 442, 2933, 203, 823, 1565, 329, 1669, 26, 3313, 444, 30, 12012, 711, 284, 665, 1156, 1664, 3207, 784, 30, 41386, 30, 3962, 1525, 81, 761, 711, 291, 630, 32, 44126, 280, 41386, 291, 5238, 444, 3667, 1664, 3207, 784, 30, 2107, 37132, 81, 3518, 370, 330, 37132, 81, 8470, 38499, 370, 330, 37132, 81, 15675, 370, 6619, 330, 37132, 81, 3732, 81, 1840, 370, 330, 37132, 81, 3732, 81, 2912, 370, 330, 37132, 81, 3732, 81, 8188, 370, 6619, 330, 37132, 81, 3732, 81, 2912, 81, 1566, 370, 6619, 330, 37132, 81, 13968, 668, 81, 2157, 370, 330, 37132, 81, 13968, 668, 81, 1071, 370, 6619, 330, 37132, 81, 1903, 81, 3038, 370, 6619, 330, 37132, 81, 8680, 370, 6619, 330, 37132, 81, 3647, 81, 878, 370, 330, 37132, 81, 3647, 81, 2668, 3490, 291, 4906, 280, 630, 32, 371, 81, 4164, 26, 1843, 1525, 81, 761, 27, 291, 12012, 3667, 1664, 3207, 784, 30, 4906, 30, 330, 37132, 81, 3518, 683, 291, 630, 32, 3039, 280, 4906, 32, 371, 81, 1473, 463, 37132, 81, 8470, 38499, 683, 291, 630, 32, 15675, 280, 4906, 32, 371, 81, 1473, 463, 37132, 81, 15675, 683, 291, 630, 32, 1903, 81, 3038, 280, 4906, 32, 371, 81, 1473, 463, 37132, 81, 1903, 81, 3038, 683, 291, 630, 32, 13968, 668, 81, 2157, 280, 4906, 32, 371, 81, 1473, 463, 37132, 81, 13968, 668, 81, 2157, 683, 291, 630, 32, 13968, 668, 81, 1071, 280, 4906, 32, 371, 81, 1473, 463, 37132, 81, 13968, 668, 81, 1071, 683, 291, 630, 1114, 1664, 81, 13968, 668, 26, 784, 32, 13968, 668, 81, 1071, 27, 291, 630, 32, 8680, 280, 4906, 32, 371, 81, 1473, 463, 37132, 81, 8680, 683, 291, 630, 1114, 1664, 81, 8680, 26, 784, 32, 8680, 27, 291, 630, 32, 3647, 81, 878, 280, 4906, 32, 371, 81, 1473, 463, 37132, 81, 3647, 81, 878, 683, 291, 630, 32, 3647, 81, 2668, 280, 4906, 32, 371, 81, 1473, 463, 37132, 81, 3647, 81, 2668, 683, 291, 630, 32, 15675, 81, 1840, 280, 4906, 32, 371, 81, 1473, 463, 37132, 81, 3732, 81, 1840, 683, 291, 630, 32, 15675, 81, 8188, 280, 4906, 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, 0, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 6, 6, 7, 4, 4, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 7, 8, 9, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 5, 6, 10, 11, 11, 11, 9, 10, 8, 9, 9, 9, 8, 5, 5, 7, 4, 4, 8, 9, 9, 9, 7, 8, 8, 8, 8, 8, 7, 4, 4, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 8, 7, 8, 8, 8, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 7, 7, 7, 9, 9, 9, 9, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 8 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 0, 4, 4, 3, 3, 2, 2, 0, 5, 5, 0, 5, 5, 0, 0, 6, 6, 6, 6, 0, 7, 7, 0, 0, 7, 7, 0, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 4, 4, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 4, 4, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 3, 0, 9, 9, 1, 1, 2, 1, 1, 2, 2, 2, 9, 9, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 6314, 35, 39, 43, 5962, 32, 2304, 1188, 3185, 81, 6380, 7008, 203, 465, 2322, 203, 465, 11412, 203, 589, 11656, 81, 979, 81, 4882, 2262, 284, 623, 2156, 463, 6380, 7008, 32, 4700, 370, 330, 105, 683, 619, 11412, 761, 44, 291, 803, 81, 7572, 280, 11412, 32, 7572, 26, 4700, 761, 30, 19713, 12483, 370, 15358, 1594, 19069, 683, 291, 803, 81, 7572, 32, 7572, 441, 4901, 314, 370, 330, 13738, 370, 330, 381, 370, 330, 979, 4738, 81, 18455, 81, 998, 3490, 291, 803, 81, 7572, 32, 7572, 441, 4901, 35, 370, 330, 95, 370, 330, 37, 34, 31, 37, 39, 370, 330, 39, 3490, 291, 803, 81, 7572, 32, 7572, 441, 4901, 36, 370, 330, 95, 370, 330, 37, 34, 31, 37, 39, 370, 330, 35, 3490, 284, 894, 81, 1473, 280, 3185, 81, 6380, 7008, 32, 2208, 81, 4700, 463, 6380, 7008, 32, 4700, 683, 284, 442, 894, 81, 1473, 203, 589, 894, 81, 18455, 81, 7320, 81, 5571, 2262, 203, 202, 858, 81, 28826, 280, 11656, 81, 979, 81, 4882, 346, 203, 202, 18455, 81, 998, 280, 3185, 81, 6380, 7008, 32, 18455, 81, 7320, 81, 5571, 26, 858, 81, 28826, 27, 203, 202, 862, 10925, 81, 998, 77, 34, 79, 610, 225, 39, 1659, 202, 862, 10925, 81, 998, 77, 35, 79, 610, 225, 35, 203, 202, 2560, 81, 761, 346, 203, 589, 894, 81, 18455, 81, 27977, 81, 5571, 2262, 203, 202, 858, 81, 28826, 280, 11656, 81, 979, 81, 4882, 346, 203, 202, 18455, 81, 998, 280, 3185, 81, 6380, 7008, 32, 18455, 81, 27977, 81, 5571, 26, 858, 81, 28826, 27, 203, 202, 862, 10925, 81, 998, 77, 34, 79, 610, 225, 35, 203, 202, 862, 10925, 81, 998, 77, 35, 79, 610, 225, 36, 203, 202, 2560, 81, 761, 346, 203, 589, 894, 81, 1809, 81, 314, 81, 1170, 81, 13738, 2262, 203, 202, 858, 81, 28826, 280, 11656, 81, 979, 81, 4882, 346, 203, 202, 314, 81, 668, 280, 3185, 81, 6380, 7008, 32, 1809, 81, 314, 81, 1170, 81, 13738, 26, 858, 81, 28826, 30, 330, 95, 683, 203, 202, 862, 2069, 26, 314, 81, 668, 27, 610, 225, 36, 203, 202, 862, 804, 81, 668, 77, 34, 79, 610, 330, 95, 25, 203, 202, 862, 804, 81, 668, 77, 35, 79, 610, 330, 95, 25, 203, 202, 2560, 81, 761, 346, 203, 589, 894, 81, 1809, 81, 998, 81, 1170, 81, 314, 2262, 203, 202, 858, 81, 28826, 280, 11656, 81, 979, 81, 4882, 346, 203, 202, 998, 280, 3185, 81, 6380, 7008, 32, 1809, 81, 998, 81, 1170, 81, 314, 26, 858, 81, 28826, 30, 225, 35, 27, 203, 202, 862, 2385, 610, 225, 39, 203, 202, 2560, 81, 761, 346, 203, 589, 3066, 81, 761, 2262, 203, 202, 500, 32, 2546, 463, 6380, 7008, 32, 4700, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 8, 10, 10, 10, 10, 10, 8, 10, 10, 6, 6, 8, 3, 3, 3, 7, 7, 6, 6, 8, 9, 8, 9, 9, 8, 8, 9, 11, 8, 10, 9, 11, 4, 4, 8, 8, 7, 8, 8, 7, 10, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 8, 7, 8, 8, 7, 10, 10, 8, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 4, 4, 8, 8, 7, 8, 8, 7, 10, 10, 8, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 2, 2, 5, 5, 4, 4, 7, 7, 7, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 6, 7, 7, 7, 7, 7, 6, 7, 7, 7, 6, 2, 2, 3, 3, 6, 6, 5, 6, 5, 4, 4, 5, 2, 2, 3, 3, 6, 6, 5, 6, 5, 4, 4, 5, 2, 2, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 6, 7, 7, 7, 7, 7, 6, 7, 7, 7, 6, 2, 2, 3, 3, 6, 6, 5, 6, 5, 4, 4, 5, 2, 2, 3, 3, 6, 6, 5, 6, 5, 4, 4, 5, 2, 2, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 6, 6, 8, 8, 2, 2, 3, 3, 6, 7, 7, 7, 6, 4, 4, 5, 2, 2, 3, 3, 6, 6, 5, 6, 5, 4, 4, 6, 6, 2, 2, 3, 3, 6, 6, 5, 6, 5, 4, 4, 6, 6, 2, 2, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 6, 6, 7, 6, 2, 2, 3, 3, 4, 4, 5, 2, 2, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 6, 5, 6, 5, 7, 7, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 2, 1, 0, 5, 2, 3, 3, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 4, 4, 3, 3, 0, 0, 0, 2, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 6, 6, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 4, 4, 3, 3, 0, 0, 0, 2, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 3, 0, 0, 0, 2, 0, 1, 1, 1, 2, 4, 4, 4, 4, 0, 0, 0, 2, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 9, 9, 1, 1, 2, 9, 9, 0, 0, 2, 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 ]
[ 1070, 32774, 305, 339, 716, 1188, 2914, 30, 2914, 103, 203, 1070, 32774, 305, 339, 716, 1188, 9025, 203, 1070, 32774, 305, 339, 716, 32, 819, 81, 626, 1188, 14707, 81, 1808, 203, 1070, 16672, 1188, 7098, 2825, 203, 465, 2322, 203, 1270, 44, 284, 645, 32774, 305, 339, 716, 1188, 32084, 203, 7343, 29986, 44, 284, 5237, 32, 8228, 32, 1821, 440, 924, 44, 9919, 7171, 2914, 31, 278, 7963, 5327, 96, 657, 284, 5237, 32, 4775, 26, 35, 27, 203, 823, 1672, 81, 1393, 81, 1521, 26, 771, 32, 1393, 81, 1521, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2914, 32, 1393, 81, 1521, 3667, 1664, 3207, 784, 27, 291, 4118, 280, 7098, 2825, 346, 291, 4118, 32, 669, 81, 2669, 10359, 65, 392, 7915, 7365, 31, 2024, 392, 1244, 20706, 3775, 3049, 347, 25682, 1688, 3298, 636, 32, 225, 516, 32, 89, 4317, 15442, 44, 34, 30, 34, 556, 517, 1902, 33, 36360, 657, 291, 4118, 32, 669, 81, 2669, 10359, 100, 392, 7915, 3287, 31, 3306, 392, 827, 47, 819, 81, 1808, 30, 1244, 47, 38, 42, 34, 34, 34, 30, 3775, 3049, 347, 470, 3964, 7692, 372, 559, 1757, 10027, 26, 1536, 27, 100, 14451, 291, 2181, 280, 4118, 32, 2208, 81, 1132, 346, 291, 3964, 81, 3306, 280, 629, 26, 1132, 32, 3287, 81, 3306, 27, 291, 17501, 94, 280, 225, 34, 32, 35, 291, 1561, 34, 280, 32084, 32, 4994, 81, 1855, 81, 88, 26, 3287, 81, 3306, 30, 32084, 32, 4270, 81, 44485, 81, 73, 8131, 30, 225, 37, 39, 34, 30, 17501, 94, 27, 291, 1561, 35, 280, 32084, 32, 4994, 81, 1855, 81, 88, 26, 3287, 81, 3306, 30, 32084, 32, 4270, 81, 44485, 81, 73, 8131, 30, 225, 38, 38, 34, 30, 17501, 94, 27, 291, 7112, 280, 9025, 32, 16384, 26, 3287, 81, 3306, 30, 2181, 32, 7365, 81, 2024, 27, 291, 630, 32, 3517, 26, 1617, 34, 30, 308, 6298, 30, 225, 34, 490, 291, 630, 32, 3517, 26, 1617, 35, 30, 308, 6298, 30, 225, 35, 490, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 12497, 280, 2914, 103, 32, 19186, 518, 346, 284, 1459, 440, 705, 4719, 458, 3460, 30, 6612, 330, 14046, 904, 86, 7362, 904, 12497, 27, 284, 1672, 81, 1393, 81, 1521, 922, 1945, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 5, 5, 5, 3, 3, 1, 2, 2, 2, 2, 2, 7, 8, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 3, 3, 6, 7, 6, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 8, 9, 9, 9, 7, 8, 8, 8, 7, 4, 4, 6, 6, 8, 8, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 9, 9, 7, 8, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 9, 9, 7, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 6, 6, 7, 7, 7, 4, 4, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 8, 8, 9, 8, 4, 4, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 8, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 8, 8, 7, 7, 9, 8, 8, 9, 8, 4, 4, 7, 8, 7, 8, 8, 7, 7, 9, 8, 8, 9, 8, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 7, 6, 7, 7, 6, 2, 2, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 5, 2, 2, 7, 7, 7, 7, 7, 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, 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, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 0, 0, 4, 4, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 3, 3, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 3, 3, 0, 2, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 6, 6, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 2, 2, 2, 1, 1, 7, 2, 2, 2, 2, 2, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 1, 1, 7, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 1, 1, 7, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 7, 7, 0, 0, 1, 1, 1, 1, 7, 7, 0, 0, 0, 0, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 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 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 16672, 203, 465, 7138, 203, 465, 2322, 203, 1070, 25679, 1188, 298, 1643, 30, 25679, 203, 465, 316, 203, 465, 16015, 36, 1803, 32, 3672, 619, 16015, 203, 465, 5237, 203, 5807, 81, 47754, 280, 225, 43, 40, 225, 203, 589, 2575, 2262, 284, 2181, 30, 4118, 280, 622, 81, 8299, 346, 284, 10191, 280, 2181, 32, 1643, 610, 330, 15917, 25, 284, 793, 81, 2840, 280, 2181, 32, 9660, 610, 330, 2840, 25, 284, 415, 10191, 44, 291, 415, 646, 793, 81, 2840, 44, 324, 1459, 26, 313, 924, 44, 5973, 449, 335, 9991, 1755, 6660, 623, 20239, 1688, 827, 20, 829, 324, 5237, 32, 4775, 26, 429, 35, 829, 284, 18253, 280, 37303, 36, 2573, 4196, 26, 291, 2181, 32, 1131, 81, 761, 81, 426, 30, 291, 2181, 32, 1647, 81, 426, 30, 291, 2181, 32, 1647, 81, 853, 284, 829, 284, 415, 2181, 32, 2024, 81, 761, 81, 426, 438, 1665, 44, 291, 2181, 32, 2024, 81, 761, 81, 426, 280, 2322, 32, 983, 32, 48271, 26, 324, 2322, 32, 983, 32, 15705, 26, 2181, 32, 1131, 81, 761, 81, 426, 829, 291, 829, 77, 225, 34, 1481, 284, 415, 10191, 44, 291, 5016, 280, 4939, 93, 295, 339, 81, 1803, 20, 284, 813, 44, 291, 5016, 280, 4939, 1803, 20, 284, 415, 2181, 32, 2024, 81, 761, 81, 426, 77, 429, 2069, 26, 5016, 829, 499, 1481, 863, 5016, 44, 291, 2181, 32, 2024, 81, 761, 81, 426, 1454, 5016, 284, 415, 10191, 44, 291, 21148, 280, 37303, 36, 2573, 6166, 20521, 26, 324, 18253, 30, 324, 2181, 32, 2024, 81, 761, 81, 426, 30, 324, 2181, 32, 3804, 81, 9410, 30, 324, 2181, 32, 15144, 30, 324, 2181, 32, 16528, 30, 291, 829, 284, 813, 44, 291, 21148, 280, 1665, 291, 415, 2322, 32, 983, 32, 29712, 26, 2181, 32, 2024, 81, 761, 81, 426, 8063, 324, 1596, 44, 400, 21148, 280, 37303, 36, 2573, 6166, 23025, 21315, 26, 528, 18253, 30, 528, 2181, 32, 2024, 81, 761, 81, 426, 30, 528, 2181, 32, 3804, 81, 9410, 30, 528, 2181, 32, 15144, 30, 528, 2181, 32, 16528, 30, 528, 2305, 81, 9833, 280, 646, 2181, 32, 5598, 81, 2585, 30, 400, 829, 324, 2940, 3268, 619, 484, 44, 400, 3636, 484, 291, 415, 21148, 438, 1665, 44, 324, 21148, 280, 37303, 36, 2573, 6166, 23025, 26, 400, 18253, 30, 400, 2181, 32, 2024, 81, 761, 81, 426, 30, 400, 2181, 32, 3804, 81, 9410, 30, 400, 2181, 32, 15144, 30, 400, 793, 81, 2840, 280, 793, 81, 2840, 30, 400, 33942, 280, 2181, 32, 16528, 30, 400, 2305, 81, 9833, 280, 646, 2181, 32, 5598, 81, 2585, 30, 324, 829, 284, 21148, 32, 1821, 346, 203, 823, 7064, 7707, 26, 1300, 8063, 284, 477, 16099, 284, 665, 617, 267, 81, 8708, 26, 298, 30, 2678, 30, 540, 8063, 291, 415, 308, 324, 2678, 32, 106, 2511, 1769, 26, 298, 32, 106, 30, 540, 32, 106, 829, 461, 324, 2678, 32, 106, 2377, 1847, 26, 298, 32, 106 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 0, 1, 1, 4, 4, 3, 4, 2, 2, 0, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 0, 0, 1, 1, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 2, 2, 4, 4, 6, 7, 5, 5, 7, 7, 2, 2, 5, 5, 4, 4, 6, 7, 5, 5, 7, 7, 2, 2, 3, 3, 3, 3, 5, 6, 7, 7, 5, 5, 5, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 6, 6, 9, 10, 9, 9, 11, 9, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 7, 8, 8, 8, 8, 8, 6, 6, 6, 7, 8, 8, 8, 6, 6, 6, 7, 8, 8, 8, 6, 6, 2, 2, 3, 5, 6, 6, 6, 6, 6, 4, 4, 3, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 10, 11, 9, 10, 9, 9, 9, 12, 13, 11, 12, 11, 11, 12, 13, 13, 13, 13, 13, 11, 9, 9, 7, 7, 8, 7, 2, 2, 3, 3, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 3, 3, 4, 4, 4, 7, 7, 9, 9, 2, 2, 3, 6, 7, 7, 7, 7, 7, 5, 5, 7, 9, 9, 9, 6, 5, 4, 4, 3, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 3, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 10, 10, 10, 10, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 3, 3, 4, 4, 4, 7, 7, 5, 5, 6, 9, 10, 8, 9, 8, 8, 9, 10, 10, 10, 10, 10, 8, 6, 6, 8, 8, 8, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 15, 15, 15, 15, 15, 13, 13, 13, 14, 15, 15, 15, 13, 13, 13, 14, 15, 13, 13, 13, 14, 15, 13, 13, 13, 15, 15, 14, 14, 15, 16, 17, 17, 17, 13, 13, 13, 8, 8, 9, 10, 10, 9, 9, 9, 11, 5, 5, 6, 7, 7, 6, 6, 6, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 13, 13, 13, 13, 13, 11, 11, 11, 12, 13, 13, 13, 11, 11, 11, 12, 13, 11, 11, 11, 13, 13, 12, 12, 13, 13, 11, 11, 11, 12, 12, 13, 14, 11, 11, 11, 13, 13, 12, 12, 13, 14, 15, 15, 15, 11, 11, 11, 2, 2, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 12, 13, 11, 11, 13, 13, 14, 15, 13, 13, 14, 15, 13, 10, 10, 10, 12, 13, 11, 11, 13, 13, 14, 15 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 0, 2, 1, 1, 0, 7, 7, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 9, 9, 2, 9, 9, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 4, 4, 3, 3, 3, 3, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 5, 2, 2, 2, 1, 1, 4, 4, 5, 0, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 4, 4, 6, 6, 6, 6, 0, 0, 1, 1, 1, 1, 1, 2, 6, 6, 4, 4, 4, 0, 0, 1, 2, 4, 4, 7, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 7, 7, 7, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 7, 2, 1, 1, 1, 9, 2, 1, 1, 1, 8, 8, 4, 4, 4, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 7, 2, 1, 1, 1, 9, 2, 1, 1, 1, 0, 0, 11, 11, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 7, 2, 1, 1, 1, 0, 0, 9, 9, 2, 2, 1, 1, 1, 11, 11, 2, 2, 1, 1, 1, 0, 0, 13, 13, 2, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 10, 10, 1, 2, 2, 2, 10, 10, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 3, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2 ]
[ 823, 1884, 94, 34595, 26, 1473, 711, 284, 19800, 280, 330, 3258, 25, 284, 1224, 101, 280, 330, 5505, 25, 284, 1224, 88, 280, 330, 23893, 25, 284, 38005, 280, 330, 1173, 25, 284, 498, 93, 280, 330, 13339, 25, 284, 1884, 3246, 280, 428, 20329, 30, 1224, 101, 30, 1224, 88, 30, 38005, 30, 498, 93, 79, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 4, 6, 6, 2, 2, 5, 4, 4, 6, 6, 2, 2, 5, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 5, 4, 4, 6, 6, 2, 2, 5, 4, 4, 6, 5, 5, 6, 5, 5, 6, 5, 5, 5, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 2, 2, 2, 9, 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 ]
[ 465, 2322, 203, 465, 5237, 203, 465, 1133, 203, 465, 1692, 730, 203, 1567, 730, 32, 38618, 81, 2675, 346, 203, 1070, 2322, 315, 81, 1163, 1188, 8444, 203, 1070, 2322, 315, 81, 751, 1188, 1245, 619, 5741, 203, 465, 2322, 315, 81, 22969, 203, 1070, 2322, 315, 81, 2122, 1188, 48624, 1851, 203, 1070, 2322, 315, 81, 2122, 1188, 2719, 203, 1070, 18792, 1188, 18054, 203, 1070, 1168, 33367, 32, 4867, 32, 4783, 1188, 20196, 81, 1356, 203, 1070, 1168, 33367, 32, 4867, 32, 4783, 1188, 4749, 81, 1356, 203, 1070, 1168, 33367, 32, 4867, 32, 4783, 1188, 8745, 203, 1070, 1168, 33367, 32, 4867, 1188, 16215, 619, 7669, 81, 8358, 203, 1070, 1168, 33367, 32, 4867, 1188, 7663, 6332, 81, 8358, 619, 22459, 81, 8358, 203, 1070, 1168, 33367, 32, 2282, 1188, 1359, 619, 4942, 81, 1163, 203, 1070, 1168, 33367, 32, 2282, 1188, 12388, 203, 1070, 1168, 33367, 32, 2282, 1188, 14735, 203, 1070, 1168, 33367, 32, 2282, 1188, 18542, 203, 1070, 1168, 33367, 32, 2282, 1188, 8745, 619, 310, 81, 2304, 203, 1070, 1168, 33367, 1188, 1619, 203, 1070, 1168, 33367, 32, 91, 35, 42, 96, 1188, 617, 815, 30, 617, 1798, 30, 617, 27812, 203, 1070, 1168, 33367, 32, 5558, 32, 2282, 1188, 12388, 619, 298, 81, 913, 203, 1070, 1168, 33367, 32, 5558, 32, 696, 36, 32, 18150, 32, 94, 36, 3235, 32, 8358, 81, 4018, 766, 284, 1188, 456, 36, 23776, 81, 8358, 619, 456, 36, 3235, 81, 8358, 203, 1070, 1168, 33367, 32, 5558, 32, 696, 36, 32, 18150, 32, 4783, 12154, 32, 4867, 1188, 2099, 98, 81, 27279, 203, 1070, 1168, 33367, 32, 5558, 32, 696, 36, 32, 18150, 32, 4783, 12154, 32, 4867, 32, 2282, 1188, 1359, 261, 203, 1070, 1168, 33367, 32, 5558, 32, 696, 36, 32, 18150, 32, 4783, 12154, 32, 4867, 32, 2282, 766, 284, 1188, 12388, 619, 456, 913, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 4758, 779, 3055, 81, 2474, 81, 9857, 280, 313, 839, 99, 20, 203, 4758, 779, 3055, 81, 6883, 280, 2430, 3731, 33, 823, 33, 1299, 5681, 203, 4758, 779, 3055, 81, 2474, 81, 15302, 46128, 280, 313, 12154, 81, 426, 20, 203, 4758, 779, 3055, 81, 5451, 34046, 940, 81, 6883, 280, 26963, 779, 3055, 81, 6883, 474, 26963, 779, 3055, 81, 2474, 81, 15302, 46128, 474, 2430, 839, 325, 5681, 203, 10539, 81, 2474, 81, 15302, 46128, 280, 313, 2929, 81, 426, 20, 203, 4758, 779, 3055, 81, 3624, 81, 6883, 81, 7321, 81, 10539, 280, 26963, 779, 3055, 81, 6883, 474, 34062, 81, 2474, 81, 15302, 46128, 474, 2430, 839, 625, 20, 203, 72, 16898, 927, 81, 11695, 81, 9857, 280, 313, 14181, 6874, 22258, 203, 823, 8159, 7707, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3984, 81, 681, 30, 14303, 81, 4573, 30, 33796, 81, 314, 711, 291, 630, 32, 4573, 81, 681, 280, 3984, 81, 681, 291, 630, 32, 18960, 81, 4573, 280, 14303, 81, 4573, 291, 630, 32, 44655, 81, 314, 280, 33796, 81, 314, 203, 823, 7946, 13483, 1572, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 4, 4, 3, 4, 4, 4, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 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, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 3, 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, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 2, 1, 1, 4, 4, 4, 4, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 0, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 2, 3, 3, 2, 3, 2, 3, 1, 2, 1, 1, 2, 2, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 0, 1, 1, 2, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 5, 5, 0, 0, 0, 5, 5, 0, 6, 6, 0, 0, 0, 6, 6, 3, 3, 0, 7, 7, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 10, 10, 10, 10, 0, 11, 11, 0, 1, 2, 1, 4, 11, 11, 0, 0, 0, 12, 12, 0, 1, 2, 1, 4, 12, 12, 0, 0, 0, 13, 13, 0, 1, 2, 1, 4, 13, 13, 0, 14, 14, 0, 1, 2, 14, 14, 3, 3, 2, 2, 0, 15, 15, 0, 1, 2, 15, 15, 0, 0, 0, 3, 3, 2, 2, 0, 16, 16, 0, 1, 2, 16, 16, 3, 3, 2, 2, 0, 17, 17, 0, 1, 2, 17, 17, 0, 18, 18, 0, 1, 2, 18, 18, 0, 19, 19, 0, 1, 2, 19, 19, 0, 20, 20, 0, 1, 2, 20, 20, 3, 3, 2, 2, 0, 21, 21, 0, 21, 21, 0, 22, 22, 0, 1, 2, 2, 2, 2, 22, 22, 0, 22, 22, 0, 22, 22, 0, 0, 23, 23, 0, 1, 2, 1, 4, 23, 23, 3, 3, 2, 2, 0, 24, 24, 0, 1, 2, 1, 4, 4, 1, 6, 1, 8, 8, 8, 1, 10, 10, 10, 24, 2, 24, 24, 0, 0, 0, 0, 4, 4, 2, 2, 2, 2, 0, 25, 25, 0, 1, 2, 1, 4, 4, 1, 6, 1, 8, 8, 1, 10, 25, 25, 0, 0, 0, 0, 26, 26, 0, 1, 2, 1, 4, 4, 1, 6, 1, 8, 8, 1, 10, 1, 12, 26, 26, 0, 0, 27, 27, 0, 1, 2, 1, 4, 4, 1, 6, 1, 8, 8, 1, 10, 1, 12, 27, 2, 27, 27, 4, 4, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 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, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 36, 36, 1, 2, 1, 2, 36, 36, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 37, 37, 1, 1, 2 ]
[ 465, 4395, 203, 1070, 25680, 83, 81, 1262, 32, 3378, 1188, 18680, 1212, 203, 1070, 3312, 32, 2243, 32, 1356, 32, 449, 94, 81, 2243, 81, 858, 81, 1732, 1188, 439, 1679, 3010, 7233, 203, 1070, 25680, 83, 81, 1262, 32, 4255, 32, 2796, 81, 10340, 1188, 14225, 4152, 1972, 2256, 203, 1070, 3312, 32, 2243, 32, 16129, 83, 81, 1262, 32, 8774, 1188, 39391, 81, 2035, 30, 39391, 81, 7236, 81, 2620, 203, 1070, 3312, 32, 2243, 32, 16129, 83, 81, 1262, 32, 8774, 1188, 2454, 81, 1536, 81, 3959, 203, 823, 2108, 435, 10401, 26860, 38798, 26, 59, 1679, 3010, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 1006, 435, 10401, 26860, 38798, 30, 630, 547, 23741, 346, 291, 2454, 81, 1536, 81, 3959, 346, 291, 1188, 25680, 83, 81, 1262, 32, 1356, 32, 4219, 81, 2796, 32, 4018, 291, 25680, 83, 81, 1262, 32, 1356, 32, 4219, 81, 2796, 32, 4018, 32, 4219, 81, 2796, 81, 4018, 280, 308, 324, 25680, 83, 81, 1262, 32, 1356, 32, 4219, 81, 2796, 32, 4018, 32, 3566, 43431, 346, 291, 829, 284, 665, 894, 81, 12565, 81, 7236, 81, 5459, 26, 784, 711, 291, 3408, 280, 39391, 81, 2035, 346, 291, 6864, 280, 39391, 81, 7236, 81, 2620, 26, 2035, 27, 291, 18680, 1212, 32, 5740, 32, 1297, 26, 7236, 47, 7236, 30, 3408, 47, 2035, 30, 1519, 3784, 1902, 33, 2713, 648, 2369, 657, 291, 630, 32, 5299, 26, 6795, 1212, 32, 5740, 32, 2029, 26, 2035, 47, 2035, 547, 998, 1026, 225, 36, 27, 291, 2869, 81, 4018, 280, 4395, 32, 3660, 346, 291, 14225, 4152, 1972, 2256, 26, 3142, 81, 4018, 547, 268, 10401, 81, 2035, 81, 27611, 26, 2035, 32, 314, 27, 291, 3823, 81, 1793, 81, 27611, 280, 1149, 26, 3142, 81, 4018, 32, 10401, 81, 311, 26485, 81, 7236, 81, 5459, 32, 1851, 81, 1132, 77, 34, 1674, 34, 1130, 291, 630, 32, 862, 720, 1324, 26, 10910, 81, 1793, 81, 27611, 30, 428, 7236, 1130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 7, 7, 7, 7, 4, 4, 5, 7, 7, 7, 6, 7, 6, 7, 7, 7, 6, 7, 4, 4, 11, 11, 11, 10, 11, 9, 10, 10, 10, 8, 9, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 13, 13, 13, 12, 13, 11, 12, 12, 12, 10, 11, 9, 10, 10, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 4, 4, 6, 6, 8, 8, 8, 8, 8, 9, 8, 4, 4, 9, 8, 9, 7, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 13, 13, 12, 13, 11, 12, 11, 13, 12, 13, 11, 10, 9, 7, 8, 7, 4, 4, 7, 7, 6, 6, 8, 9, 8, 4, 4, 9, 9, 9, 9, 10, 10, 10, 9, 8, 8, 8, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 7, 7, 7, 6, 6, 8, 13, 13, 13, 12, 13, 13, 13, 13, 13, 13, 13, 13, 11, 12, 12, 12, 10, 11, 10, 10, 9, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 7, 9, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 1, 6, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 4, 4, 4, 1, 6, 5, 5, 0, 0, 0, 0, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 6, 6, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 2, 0, 0, 0, 1, 2, 1, 4, 4, 4, 1, 6, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1551, 81, 1338, 280, 301, 284, 313, 426, 563, 313, 42969, 9438, 10073, 392, 284, 313, 2116, 563, 4320, 284, 313, 1551, 1610, 563, 308, 36, 30, 225, 41, 34, 30, 225, 34, 471, 284, 313, 2645, 563, 313, 1120, 3338, 30, 2908, 6863, 5269, 392, 284, 313, 2310, 563, 313, 42969, 9438, 10073, 10516, 392, 284, 313, 5691, 563, 4320, 284, 313, 6419, 81, 965, 563, 313, 525, 555, 6419, 32, 1551, 1610, 32, 1088, 33, 1055, 32, 1317, 33, 4216, 44, 36, 32, 40, 33, 18435, 33, 3121, 33, 42969, 392, 284, 313, 13610, 81, 965, 563, 4320, 284, 313, 3592, 563, 330, 6664, 1102, 5796, 370, 284, 313, 3153, 563, 313, 3121, 3612, 203, 465, 323, 978, 203, 1070, 638, 1188, 6863, 203, 1070, 638, 1188, 1503, 81, 1877, 203, 823, 390, 10810, 1882, 3121, 26, 84, 978, 32, 2516, 32, 3121, 3711, 711, 284, 3145, 81, 314, 426, 280, 330, 12721, 53, 10875, 25, 284, 3145, 81, 1172, 280, 313, 42969, 9438, 20, 284, 3145, 81, 539, 81, 615, 4421, 81, 5459, 280, 2933, 284, 3145, 81, 539, 81, 8687, 280, 2933, 284, 3145, 81, 539, 81, 10444, 81, 8216, 280, 2933, 284, 3145, 81, 539, 81, 2853, 81, 15657, 280, 2933, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 2848, 280, 1665, 284, 665, 1156, 4025, 3207, 784, 711, 291, 6863, 32, 3994, 26, 784, 27, 284, 665, 1974, 26, 784, 30, 706, 30, 9641, 711, 291, 415, 630, 32, 297, 81, 8687, 44, 324, 415, 646, 630, 32, 2848, 44, 400, 281, 7608, 280, 323, 978, 32, 1819, 32, 7608, 32, 34180, 400, 793, 81, 500, 94, 280, 281, 7608, 32, 615, 4421, 81, 2946, 461, 281, 7608, 32, 2929, 610, 330, 9942, 25, 400, 6863, 32, 1297, 26, 784, 30, 706, 30, 9641, 30, 4985, 1665, 30, 1665, 30, 1665, 30, 793, 81, 500, 94, 27, 291, 813, 44, 324, 415, 646, 630, 32, 2848, 44, 400, 6863, 32, 1297, 26, 784, 30, 706, 30, 9641, 27, 324, 813, 44, 400, 6863, 32, 4534, 26, 784, 30, 706, 30, 9641, 27, 291, 6863, 32, 1877, 26, 784, 30, 706, 30, 9641, 27, 284, 665, 2908, 26, 784, 30, 9641, 711, 291, 6863, 32, 3169, 26, 784, 27, 284, 665, 323, 1062, 26, 784, 30, 9641, 30, 2830, 30, 3097, 81, 681, 30, 6573, 81, 955, 30, 1929, 81, 15047, 30, 7713, 30, 1056, 711, 291, 6863, 32, 84, 1062, 26, 784, 30, 2830, 30, 3097, 81, 681, 30, 6573, 81, 955, 30, 1929, 81, 15047, 30, 7713, 30, 1056, 27, 284, 665, 2202, 81, 1877, 26, 784, 30, 1619, 711, 291, 415, 646, 630, 32, 2848, 44, 324, 6863, 32, 1297, 26, 784, 30, 1619, 32, 24100, 81, 605, 30, 1619, 32, 7608, 30, 3775, 1619, 32, 3419, 30, 1619, 32, 1166, 81, 605, 30, 1619, 32, 3419, 81, 605, 27, 291, 6863, 32, 1877, 26, 784, 30, 1619, 32, 24100, 81, 605, 30, 1619, 32, 7608, 27, 284, 665, 2202, 81, 3887, 26, 784, 30, 1619, 711, 291, 6863, 32, 3887, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 3, 3, 6, 6, 6, 4, 6, 5, 5, 6, 6, 5, 5, 6, 5, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 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, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 5, 5, 4, 5, 3, 4, 4, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 7, 8, 9, 10, 7, 7, 7, 11, 10, 10, 14, 13, 14, 12, 13, 11, 12, 8, 8, 11, 11, 11, 10, 10, 13, 12, 13, 13, 13, 13, 11, 11, 14, 13, 14, 12, 12, 14, 14, 8, 8, 11, 12, 11, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 11, 5, 5, 6, 6, 6, 8, 9, 10, 11, 8, 8, 8, 12, 13, 12, 13, 12, 12, 12, 12, 12, 8, 8, 9, 9, 9, 13, 14, 13, 14, 13, 13, 13, 13, 13, 4, 4, 7, 8, 7, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 7, 8, 7, 7, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 8, 5, 5, 5, 9, 10, 9, 10, 9, 9, 10, 11, 11, 11, 9, 9, 10, 11, 9, 9, 9, 10, 11, 9, 9, 10, 11, 11, 11, 9, 9, 10, 11, 11, 11, 9, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 9, 9, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7 ]
[ 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 1, 1, 2, 5, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 2, 2, 2, 1, 2, 11, 2, 2, 1, 1, 1, 2, 13, 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, 15, 2, 2, 1, 2, 17, 1, 1, 1, 2, 2, 2, 1, 2, 19, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 6, 1, 1, 1, 2, 6, 6, 0, 2, 0, 0, 4, 4, 7, 1, 1, 1, 2, 7, 7, 0, 2, 1, 1, 1, 4, 4, 8, 2, 1, 2, 2, 2, 2, 2, 8, 8, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 13, 13, 13, 1, 0, 0, 4, 4, 4, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 9, 2, 1, 2, 2, 2, 9, 9, 0, 2, 1, 1, 1, 4, 4, 10, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 2, 9, 9, 2, 2, 11, 11, 2, 2, 2, 2, 2, 10, 10, 0, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 1, 1, 1, 1, 4, 4, 11, 1, 1, 2, 1, 2, 2, 2, 11, 11, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 9, 2, 2, 2, 1, 1, 11, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 1, 4, 4, 12, 1, 1, 2, 1, 2, 2, 2, 12, 12, 0, 2, 1 ]
[ 465, 5741, 203, 465, 2322, 203, 1070, 5523, 1188, 14323, 203, 465, 26313, 203, 1070, 11993, 1188, 1682, 203, 465, 20536, 103, 3291, 619, 3920, 203, 1070, 6765, 17594, 32, 913, 1188, 8452, 81, 8439, 1099, 31852, 4516, 81, 7383, 30, 8452, 81, 8439, 1099, 31852, 4516, 81, 15707, 203, 465, 6765, 17594, 32, 8774, 32, 1163, 81, 6460, 619, 6677, 203, 1070, 638, 887, 716, 81, 4313, 1188, 7507, 716, 1151, 3021, 30, 1487, 81, 887, 716, 81, 1580, 203, 81, 22228, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 16799, 280, 313, 887, 716, 20, 203, 14594, 81, 8472, 280, 313, 2035, 20, 203, 14594, 81, 3624, 280, 313, 625, 20, 203, 14594, 81, 12455, 81, 3307, 280, 313, 3560, 81, 678, 20, 203, 14594, 81, 17252, 81, 3307, 280, 313, 7241, 81, 678, 20, 203, 14594, 81, 34757, 280, 313, 11850, 20, 203, 14594, 81, 4613, 718, 280, 313, 12220, 20, 203, 14594, 81, 4613, 718, 81, 26468, 280, 313, 6452, 20, 203, 14594, 81, 4613, 718, 81, 9857, 280, 313, 4254, 20, 203, 14594, 81, 4613, 718, 81, 28056, 280, 313, 12420, 20, 203, 14594, 81, 4613, 718, 81, 25459, 280, 313, 5057, 20, 203, 11486, 81, 26468, 280, 313, 6452, 20, 203, 11486, 81, 3307, 280, 313, 678, 20, 203, 11486, 81, 3539, 81, 4065, 280, 313, 761, 81, 983, 20, 203, 5807, 81, 4613, 718, 81, 9857, 280, 3330, 203, 5807, 81, 4613, 718, 81, 28056, 280, 313, 3424, 20, 203, 5807, 81, 4613, 718, 81, 25459, 280, 313, 101, 37, 44, 959, 6873, 20665, 20, 203, 6191, 81, 20740, 280, 3920, 32, 3694, 26, 284, 301, 291, 4085, 10383, 44, 3920, 32, 3694, 26, 324, 301, 400, 3920, 32, 5413, 26, 14594, 81, 8472, 711, 6677, 32, 800, 30, 400, 3920, 32, 5413, 26, 14594, 81, 3624, 711, 6677, 32, 625, 30, 400, 3920, 32, 5413, 26, 14594, 81, 12455, 81, 3307, 711, 6677, 32, 800, 30, 400, 3920, 32, 5413, 26, 14594, 81, 17252, 81, 3307, 711, 6677, 32, 800, 30, 400, 3920, 32, 5413, 26, 14594, 81, 34757, 711, 6677, 32, 4398, 30, 400, 3920, 32, 7556, 26, 14594, 81, 4613, 718, 30, 1244, 19066, 711, 3920, 32, 1934, 26, 528, 6677, 32, 12830, 81, 668, 30, 528, 428, 715, 3920, 32, 3694, 26, 1014, 301, 1378, 3920, 32, 5413, 26, 14594, 81, 4613, 718, 81, 26468, 711, 6677, 32, 800, 30, 1378, 3920, 32, 7556, 26, 1891, 45623, 81, 4613, 718, 81, 9857, 30, 1244, 47, 5807, 81, 4613, 718, 81, 9857, 1378, 8063, 6677, 32, 800, 30, 1378, 3920, 32, 7556, 26, 1891, 45623, 81, 4613, 718, 81, 28056, 30, 1244, 47, 5807, 81, 4613, 718, 81, 28056, 1378, 8063, 6677, 32, 800, 30, 1378, 3920, 32, 7556, 26, 1891, 45623, 81, 4613, 718, 81, 25459, 30, 1244, 47, 5807, 81, 4613, 718, 81, 25459, 1378, 8063, 6677, 32, 800, 30, 1014, 320, 715, 829, 528, 2505, 400, 2588, 324, 320, 291, 829, 284, 801, 284, 6717, 47, 3060, 32, 18427, 81, 20185, 30, 203, 27, 203, 26468, 81, 3307, 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, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 3, 4, 3, 4, 4, 4, 2, 2, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 5, 4, 4, 4, 5, 5, 7, 6, 6, 8, 9, 8, 8, 8, 9, 9, 12, 13, 12, 13, 13, 13, 12, 10, 11, 12, 9, 9, 9, 12, 13, 12, 13, 13, 13, 12, 10, 11, 12, 9, 9, 9, 12, 13, 12, 13, 13, 13, 13, 13, 12, 10, 11, 12, 9, 9, 9, 12, 13, 12, 13, 13, 13, 13, 13, 12, 10, 11, 12, 9, 9, 9, 12, 13, 12, 13, 13, 13, 12, 10, 11, 12, 9, 9, 9, 12, 13, 12, 13, 13, 13, 13, 12, 12, 13, 12, 10, 12, 13, 12, 12, 12, 13, 14, 14, 14, 12, 12, 12, 13, 13, 15, 16, 15, 15, 15, 16, 16, 19, 20, 19, 20, 20, 20, 20, 20, 20, 19, 17, 18, 19, 16, 16, 16, 19, 20, 19, 19, 19, 20, 20, 20, 20, 20, 19, 19, 20, 21, 21, 21, 21, 21, 21, 19, 19, 17, 18, 19, 16, 16, 16, 19, 20, 19, 19, 19, 20, 20, 20, 20, 20, 19, 19, 20, 21, 21, 21, 21, 21, 21, 19, 19, 17, 18, 19, 16, 16, 16, 19, 20, 19, 19, 19, 20, 20, 20, 20, 20, 19, 19, 20, 21, 21, 21, 21, 21, 21, 19, 19, 17, 18, 19, 16, 16, 16, 15, 15, 13, 13, 12, 12, 9, 9, 8, 8, 5, 5, 4, 4, 5, 7, 6, 7, 7, 7, 4, 4, 4, 0, 3, 3, 3, 3 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 0, 1, 1, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 2, 0, 4, 4, 4, 1, 1, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 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, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 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, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 5, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 7, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 9, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 11, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 3, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 5, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 7, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0 ]
[ 465, 3619, 4746, 930, 366, 203, 1070, 3619, 4746, 930, 366, 1188, 1938, 28295, 203, 1070, 638, 1217, 81, 2157, 1188, 6645, 2780, 203, 1070, 638, 4746, 29750, 1188, 624, 1546, 29750, 2216, 9034, 203, 823, 20694, 6667, 6670, 299, 9034, 26, 73, 1546, 29750, 2216, 9034, 711, 284, 46422, 280, 20073, 470, 4901, 66, 35, 38, 37, 370, 330, 66, 36, 38, 42, 370, 330, 66, 38, 39, 43, 370, 330, 66, 39, 35, 42, 370, 330, 66, 39, 41, 41, 370, 330, 66, 42, 34, 39, 370, 6029, 330, 66, 43, 41, 36, 370, 330, 66, 35, 34, 40, 39, 370, 330, 66, 35, 35, 37, 39, 370, 330, 66, 35, 38, 42, 34, 370, 330, 66, 35, 39, 38, 39, 370, 330, 66, 35, 43, 37, 36, 370, 6029, 330, 66, 36, 37, 35, 39, 370, 330, 66, 36, 41, 34, 35, 370, 330, 66, 37, 36, 41, 38, 370, 8834, 284, 33977, 280, 20073, 470, 4901, 66, 35, 41, 370, 330, 66, 36, 35, 370, 330, 66, 37, 43, 370, 330, 66, 35, 39, 39, 370, 330, 66, 35, 39, 40, 370, 330, 66, 36, 42, 35, 370, 330, 66, 39, 42, 34, 370, 6029, 330, 66, 39, 42, 36, 370, 330, 66, 39, 42, 39, 370, 330, 66, 40, 40, 43, 370, 330, 66, 41, 34, 42, 370, 330, 66, 43, 40, 43, 370, 330, 66, 35, 37, 39, 39, 370, 6029, 330, 66, 35, 37, 39, 40, 370, 8834, 284, 4644, 81, 1094, 280, 330, 67, 35, 39, 41, 36, 34, 40, 34, 42, 25, 284, 793, 81, 1070, 81, 1637, 280, 3177, 284, 665, 1156, 1664, 3207, 784, 30, 1115, 5321, 711, 291, 10306, 32, 1877, 1371, 324, 330, 3371, 81, 2613, 950, 10306, 32, 371, 463, 3371, 81, 2613, 370, 11544, 474, 1149, 26, 784, 32, 34793, 471, 324, 330, 7127, 81, 2613, 950, 10306, 32, 371, 463, 7127, 81, 2613, 370, 11544, 474, 1149, 26, 784, 32, 27421, 471, 291, 1790, 291, 2599, 17094, 1664, 3207, 326, 5321, 27, 291, 630, 32, 2157, 280, 6645, 2780, 346, 284, 665, 2761, 1653, 26, 784, 30, 7018, 81, 1637, 711, 291, 415, 7018, 81, 1637, 32, 681, 610, 330, 6173, 31, 314, 950, 324, 442, 3177, 291, 7018, 81, 1637, 32, 371, 346, 291, 415, 330, 66, 37, 35, 25, 646, 328, 7018, 81, 1637, 32, 30330, 44, 324, 3619, 4746, 930, 366, 32, 5691, 15339, 101, 438, 646, 443, 1639, 25, 904, 7018, 81, 1637, 32, 37575, 1157, 324, 442, 3177, 291, 436, 12559, 328, 7018, 81, 1637, 32, 30330, 710, 66, 37, 35, 12132, 324, 415, 12559, 32, 1977, 81, 3574, 26, 784, 32, 7127, 81, 1094, 711, 400, 442, 2933, 291, 442, 3177, 284, 477, 2433, 284, 665, 9750, 26, 784, 711, 291, 2467, 280, 630, 32, 2157, 32, 1832, 81, 1217, 26, 324, 330, 939, 6667, 370, 1623, 47, 784, 32, 7127, 81, 1094, 30, 324, 4644, 12483, 28893, 44, 2473, 2524, 26, 784, 32, 27421, 471, 324, 6658, 12483, 28893, 44, 2473, 2524, 26, 784, 32, 34793, 490, 291, 442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 0, 1, 1, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 2, 2, 4, 4, 6, 6, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 7, 8, 8, 11, 11, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 12, 10, 10, 12, 14, 13, 14, 12, 8, 8, 11, 11, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 12, 10, 10, 12, 14, 13, 14, 12, 8, 8, 4, 4, 9, 8, 8, 8, 9, 7, 4, 4, 7, 8, 6, 6, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 8, 8, 7, 8, 6, 6, 8, 8, 8, 8, 5, 5, 7, 4, 4, 8, 8, 7, 8, 7, 4, 4, 5, 8, 8, 8, 8, 6, 6, 6, 8, 8, 7, 8, 5, 5, 5, 10, 10, 10, 9, 10, 9, 12, 12, 12, 12, 12, 12, 10, 10, 13, 13, 12, 13, 12, 6, 6, 7, 4, 4, 5, 5, 5, 8, 8, 7, 8, 6, 8, 8, 8, 8, 5, 5, 7, 9, 10, 10, 10, 9, 11, 10, 11, 11, 11, 9, 7, 7, 9, 4, 4, 5, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 9, 9, 9, 11, 11, 11, 9, 10, 12, 11, 12, 12, 12, 9, 9, 9, 10, 14, 14, 14, 13, 12, 14, 13, 14, 12, 9, 9, 10, 14, 14, 14, 13, 12, 14, 13, 14, 12, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 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, 2, 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, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 1, 1, 1, 2, 2, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 4, 4, 5, 1, 2, 1, 2, 2, 3, 3, 2, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 4, 4, 0, 0, 0, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 3, 3, 1, 4, 4, 3, 3, 3, 0, 0, 0, 2, 3, 1, 1, 1, 2, 3, 3, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 4, 4, 4, 4, 4, 1, 6, 6, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 3, 0, 2, 2, 2, 2, 1, 1, 1, 5, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 7, 1, 1, 2, 2, 1, 0, 1, 2, 1, 4, 4 ]
[ 51, 812, 90, 21, 70, 21, 66, 283, 17453, 24717, 16259, 21, 53, 588, 48963, 505, 280, 330, 43843, 83, 50, 15125, 352, 32, 36526, 32, 593, 479, 32, 8278, 25, 203, 465, 16672, 203, 465, 2322, 203, 465, 5237, 203, 465, 7744, 203, 465, 46032, 32, 95, 21894, 203, 1070, 27619, 6308, 32, 22792, 81, 6308, 1188, 8862, 11467, 3300, 203, 1070, 27619, 6308, 32, 1956, 46221, 1188, 1258, 405, 1967, 35646, 1763, 3300, 203, 1070, 3693, 1160, 32, 1956, 1188, 6512, 30, 14952, 203, 1070, 12463, 966, 32, 31193, 1188, 1565, 1352, 203, 1070, 12463, 966, 32, 2282, 32, 15248, 1188, 9276, 7262, 203, 1070, 12463, 966, 32, 2282, 1188, 4527, 203, 1070, 12463, 966, 32, 2142, 873, 1188, 8083, 7066, 30, 488, 9221, 2633, 873, 203, 1070, 12463, 966, 32, 30840, 10537, 1188, 3772, 27707, 45838, 27314, 509, 30, 488, 9221, 45838, 1599, 30, 41741, 271, 27314, 509, 203, 1070, 12463, 966, 32, 4538, 32, 5983, 1188, 8145, 203, 1070, 12463, 966, 32, 2282, 32, 11382, 3926, 1188, 17422, 4084, 203, 589, 3185, 81, 8299, 2262, 284, 4118, 280, 16672, 32, 26633, 440, 17930, 966, 392, 3048, 347, 24278, 2996, 438, 600, 2156, 1914, 41984, 313, 9930, 313, 30840, 45838, 2604, 873, 7144, 284, 588, 880, 20560, 509, 32, 669, 81, 2669, 440, 2501, 392, 3049, 347, 2101, 7798, 44, 5683, 436, 7682, 322, 313, 2476, 313, 2142, 873, 30, 2604, 436, 45690, 312, 1344, 623, 322, 2702, 1542, 4414, 715, 34664, 347, 2142, 110, 3239, 392, 827, 47, 466, 30, 16682, 18278, 2142, 392, 313, 3239, 6890, 284, 4118, 32, 669, 81, 2669, 10359, 95, 392, 7915, 1160, 392, 715, 3049, 347, 33304, 312, 1519, 372, 312, 1542, 803, 32, 1670, 600, 538, 297, 37869, 1542, 438, 2702, 436, 313, 6035, 313, 10705, 30, 322, 4559, 23584, 33530, 7682, 4414, 715, 34664, 19334, 2816, 46941, 9601, 2129, 47, 1815, 30, 827, 47, 466, 27, 284, 4118, 32, 669, 81, 2669, 10359, 102, 392, 7915, 2142, 31, 1174, 392, 715, 3049, 347, 2871, 432, 2604, 9094, 32, 15086, 2532, 6058, 313, 6035, 313, 2754, 1764, 45690, 32, 886, 1244, 438, 225, 36, 32, 22929, 1755, 2470, 4414, 715, 34664, 19334, 2171, 9601, 827, 47, 410, 30, 1244, 47, 36, 27, 284, 4118, 32, 669, 81, 2669, 10359, 87, 392, 7915, 405, 19695, 31, 1174, 392, 715, 3049, 347, 2871, 432, 34812, 32, 8819, 2532, 6058, 688, 322, 2702, 3594, 12428, 313, 6035, 313, 2585, 544, 2819, 2604, 32, 886, 1244, 438, 225, 36, 32, 225, 22929, 1755, 2470, 4414, 715, 34664, 19334, 2171, 9601, 827, 47, 410, 30, 1244, 47, 36, 27, 284, 4118, 32, 669, 81, 2669, 10359, 101, 392, 7915, 12420, 31, 1322, 392, 715, 3049, 347, 4391, 312, 12809, 44845, 436, 11089, 299, 8665, 8153, 5911, 623, 322, 2702, 313, 6035, 313, 16537, 12809, 3104, 32, 886, 1244, 438, 225, 35, 34, 32, 225, 22929, 1755, 2470, 4414, 715, 34664, 19334, 1322, 9601, 827, 47, 410, 30, 1244, 47, 35, 34, 27, 284, 4118, 32, 669, 81, 2669, 10359, 100, 392, 7915, 100, 586, 31, 15710 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 2, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 6, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 2, 2, 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, 5, 5, 5, 5, 5, 2, 2, 5, 7, 7, 7, 7, 5, 4, 7, 6, 6, 5, 9, 9, 7, 9, 9, 5, 5, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 7, 7, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 8, 10, 10, 10, 7, 8, 9, 7, 7, 8, 9, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 7, 7, 5, 5, 6, 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, 5, 5, 6, 8, 8, 5, 6, 7, 5, 5, 6, 7, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 7, 7, 7, 5, 5, 6, 9, 9, 9, 9, 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, 9, 9, 5, 5, 6, 8, 8, 5, 6, 7, 5, 5, 6, 7, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 7, 7, 5, 5, 6, 9, 9, 9, 9, 9, 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, 9, 9, 5, 5, 6, 8, 8, 5, 6, 7, 5, 5, 6, 7, 7, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 7, 7 ]
[ 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, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 1, 2, 2, 0, 7, 7, 0, 1, 2, 2, 2, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 2, 8, 8, 0, 0, 0, 0, 0, 0, 9, 9, 0, 1, 2, 9, 9, 9, 9, 0, 10, 10, 0, 1, 2, 10, 10, 0, 0, 11, 11, 0, 1, 2, 1, 4, 11, 11, 0, 0, 12, 12, 0, 1, 2, 12, 12, 0, 13, 13, 0, 1, 2, 2, 13, 13, 0, 13, 13, 0, 0, 0, 0, 14, 14, 0, 1, 2, 2, 14, 14, 0, 0, 0, 0, 14, 14, 0, 0, 0, 14, 14, 0, 0, 0, 0, 15, 15, 0, 1, 2, 1, 4, 15, 15, 0, 16, 16, 0, 1, 2, 1, 4, 4, 16, 16, 0, 0, 17, 17, 1, 1, 2, 17, 17, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 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, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 3, 1, 2, 0, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 5, 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, 1, 1, 7, 1, 1, 1, 1, 9, 2, 1, 1, 11, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 5, 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, 7, 1, 1, 1, 9, 2, 1, 1, 11, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 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, 7, 1, 1, 1, 9, 2, 1, 1, 11, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 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, 7, 1, 1, 1, 9, 2, 1, 1, 11, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 5237, 203, 325, 5237, 32, 1648, 81, 1338, 2867, 36, 79, 2511, 308, 36, 30, 225, 40, 711, 284, 1188, 15798, 36, 619, 15798, 203, 1824, 44, 284, 1188, 15798, 203, 1070, 7884, 32, 19981, 32, 9777, 1188, 14077, 203, 505, 2116, 505, 280, 313, 1027, 13153, 488, 693, 272, 1282, 20, 203, 505, 11794, 505, 280, 313, 10581, 308, 53, 27, 225, 36, 34, 34, 42, 429, 225, 36, 34, 35, 38, 429, 34963, 488, 693, 272, 1282, 20, 203, 505, 2077, 505, 280, 313, 21181, 676, 37, 32, 34, 429, 1913, 555, 1499, 32, 10628, 32, 1088, 33, 4188, 5681, 203, 505, 42086, 505, 280, 313, 1027, 13153, 488, 693, 272, 1282, 20, 203, 505, 1935, 505, 280, 313, 349, 13153, 32, 95, 693, 272, 1282, 50, 7253, 32, 508, 20, 203, 505, 1517, 505, 280, 313, 24504, 20, 203, 505, 464, 505, 280, 3037, 1006, 5229, 1446, 203, 823, 2108, 5229, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 3648, 81, 5843, 26, 784, 711, 291, 2129, 81, 5843, 280, 2884, 3164, 81, 426, 392, 7686, 313, 13147, 81, 1648, 392, 7686, 313, 17765, 81, 1648, 392, 7686, 313, 2342, 81, 1648, 392, 7686, 313, 1648, 392, 7686, 313, 4073, 392, 7686, 313, 38974, 81, 2649, 392, 7686, 313, 38974, 81, 5919, 392, 7686, 313, 7490, 81, 1536, 81, 14548, 392, 7686, 313, 7490, 81, 17641, 4044, 392, 7686, 313, 1536, 81, 12782, 392, 7686, 313, 12782, 81, 731, 392, 7686, 313, 3164, 81, 5660, 392, 7686, 313, 6385, 81, 5660, 392, 7686, 313, 1693, 81, 1473, 657, 291, 436, 3879, 328, 2129, 81, 5843, 44, 324, 630, 32, 33966, 26, 4890, 30, 14077, 3667, 2665, 8223, 284, 665, 894, 81, 3164, 81, 426, 81, 4890, 26, 784, 711, 291, 630, 32, 862, 29583, 16197, 26, 5229, 32, 3164, 81, 426, 30, 2706, 105, 36998, 284, 665, 894, 81, 13147, 81, 1648, 81, 4890, 26, 784, 711, 291, 630, 32, 862, 29583, 16197, 26, 5229, 32, 1648, 30, 2706, 86, 657, 284, 665, 894, 81, 17765, 81, 1648, 81, 4890, 26, 784, 711, 291, 630, 32, 862, 29583, 16197, 26, 5229, 32, 1648, 30, 2706, 86, 657, 284, 665, 894, 81, 2342, 81, 1648, 81, 4890, 26, 784, 711, 291, 630, 32, 862, 29583, 16197, 26, 5229, 32, 1648, 30, 2706, 86, 657, 284, 665, 894, 81, 1648, 81, 4890, 26, 784, 711, 291, 630, 32, 862, 29583, 16197, 26, 5229, 32, 1648, 30, 2706, 86, 78, 5327, 86, 78, 5327, 86, 657, 284, 665, 894, 81, 4073, 81, 4890, 26, 784, 711, 291, 630, 32, 862, 29583, 16197, 26, 5229, 32, 4073, 30, 2706, 105, 36998, 284, 665, 894, 81, 38974, 81, 2649, 81, 4890, 26, 784, 711, 291, 630, 32, 25839, 1810, 26, 5229, 32, 38974, 81, 2649, 30, 629, 27, 291, 630, 32, 862, 17672, 1324, 26, 5229, 32, 38974, 81, 2649, 30, 225, 34, 27, 291, 630, 32, 862, 13275, 1324, 26, 5229, 32, 38974, 81, 2649, 30, 225, 38, 27, 284, 665, 894 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 5, 5, 3, 5, 3, 2, 2, 4, 3, 3, 4, 3, 1, 1, 3, 6, 4, 4, 1, 2, 2, 2, 2, 4, 0, 1, 1, 2, 3, 2, 3, 1, 1, 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, 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, 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, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 7, 7, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 9, 10, 9, 10, 9, 9, 10, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 8, 9, 7, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 8, 9, 7, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 8, 9, 7, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 8, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 8, 9, 7, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 7, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 7, 2, 2, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 1, 1, 2, 4, 4, 4, 4, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 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, 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, 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, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 11, 11, 1, 2, 0, 1, 2, 2, 11, 11, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 3, 3, 1, 1, 1, 0, 2, 1, 1, 1, 1, 3, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 4, 4, 7, 1, 1, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 8 ]
[ 465, 316, 203, 465, 22045, 203, 465, 33951, 203, 1070, 46624, 32, 5558, 32, 22765, 1188, 5601, 203, 1070, 46624, 32, 4280, 1188, 1201, 81, 1508, 30, 1201, 81, 2228, 30, 1201, 81, 1870, 203, 465, 18765, 32, 2957, 203, 1070, 18765, 32, 1356, 32, 858, 81, 2304, 1188, 18847, 81, 3560, 203, 1070, 18765, 32, 1356, 32, 11025, 81, 858, 81, 1040, 1188, 1930, 81, 17872, 81, 266, 81, 1580, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 30, 7051, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 18548, 81, 9941, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 1256, 2300, 32, 3378, 1188, 677, 340, 7040, 30, 7051, 7040, 30, 498, 36999, 1564, 30, 2680, 4290, 203, 1070, 1256, 2300, 32, 3378, 1188, 622, 81, 3959, 30, 622, 81, 1536, 81, 496, 81, 1363, 203, 465, 1256, 2300, 32, 2957, 203, 1070, 48222, 1188, 26600, 81, 21137, 38, 203, 1070, 11875, 1188, 7652, 81, 19426, 81, 3707, 30, 7652, 81, 19426, 81, 6332, 30, 1188, 81, 19426, 81, 3707, 30, 1188, 81, 19426, 81, 6332, 30, 766, 1750, 1015, 81, 19426, 81, 3707, 30, 1015, 81, 19426, 81, 6332, 30, 7652, 81, 19426, 81, 3707, 81, 6332, 203, 465, 33951, 81, 3560, 203, 589, 5657, 81, 464, 81, 3707, 2262, 334, 436, 1256, 328, 2680, 32, 5740, 32, 464, 2262, 284, 1256, 32, 2560, 346, 203, 589, 5657, 81, 464, 81, 6332, 2262, 334, 1256, 2300, 32, 2957, 32, 5807, 81, 4975, 81, 9779, 32, 470, 81, 979, 81, 4266, 26, 2521, 27, 334, 436, 30666, 328, 7051, 32, 5740, 32, 464, 2262, 284, 30666, 32, 2560, 346, 203, 823, 498, 36999, 1006, 2798, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 711, 284, 630, 1114, 2386, 280, 498, 36999, 1006, 2798, 32, 750, 346, 334, 665, 1015, 81, 496, 81, 1363, 81, 979, 81, 858, 26, 784, 30, 1256, 30, 2350, 711, 284, 630, 1114, 2386, 32, 6332, 77, 1363, 5795, 7910, 5695, 1689, 26, 496, 27, 334, 665, 3345, 81, 496, 81, 1363, 81, 979, 81, 858, 26, 784, 30, 1256, 30, 2350, 711, 284, 630, 1114, 2386, 32, 6332, 77, 1363, 5795, 7910, 5695, 2546, 26, 496, 27, 334, 665, 1015, 81, 28950, 81, 496, 81, 1363, 81, 979, 81, 858, 26, 784, 30, 1256, 30, 2350, 711, 284, 630, 1114, 2386, 32, 6332, 77, 1363, 5795, 28950, 81, 7910, 5695, 1689, 26, 496, 27, 334, 665, 3345, 81, 28950, 81, 496, 81, 1363, 81, 979, 81, 858, 26, 784, 30, 1256, 30, 2350, 711, 284, 630, 1114, 2386, 32, 6332, 77, 1363, 5795, 28950, 81, 7910, 5695, 2546, 26, 496, 27, 334, 665, 2290, 81, 3707, 26, 784, 30, 952, 81, 5607, 30, 3233, 81, 2437, 47, 2521, 30, 1256, 81, 426, 81, 2437, 47, 2521, 30, 2290, 81, 1170, 81, 6161, 47, 2700, 30, 4576, 47, 19426, 32, 15104, 81, 7100, 27803, 711, 284, 415, 2290, 81, 1170, 81, 6161, 44, 397, 706, 280, 2761, 26, 5962, 11758, 44, 11758 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 6, 7, 5, 6, 5, 3, 3, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 8, 7, 8, 6, 7, 7, 7, 7, 7, 5, 6, 6, 6, 6, 6, 5, 6, 5, 2, 2, 3, 3, 3, 6, 7, 5, 6, 5, 3, 3, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 9, 9, 9, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 11, 12, 10, 11, 9, 10, 9, 10, 10, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 11, 12, 10, 11, 9, 10, 9, 10, 10, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 11, 12, 10, 11, 9, 10, 9, 10, 10, 10, 10, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 11, 12, 10, 11, 9, 10, 9, 10, 10, 10, 10, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 5, 7, 6, 7, 7, 7, 7, 4, 3, 3, 5, 6, 6, 6, 6, 5, 5, 5, 8, 8, 10, 11, 11, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 1, 2, 0, 6, 6, 1, 2, 1, 4, 4, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 4, 4, 4, 4, 7, 7, 0, 0, 0, 0, 0, 0, 0, 8, 8, 1, 2, 8, 8, 0, 9, 9, 1, 2, 1, 4, 1, 6, 9, 9, 9, 9, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 4, 11, 11, 0, 12, 12, 0, 1, 2, 12, 12, 0, 0, 12, 12, 0, 12, 12, 0, 0, 12, 12, 0, 0, 13, 13, 0, 1, 2, 13, 13, 0, 0, 13, 13, 0, 0, 0, 0, 0, 0, 0, 14, 14, 0, 1, 2, 0, 15, 15, 15, 15, 0, 0, 0, 0, 16, 16, 16, 16, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 16, 16, 11, 16, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 0, 0, 0, 17, 17, 0, 0, 0, 18, 18, 1, 1, 1, 1, 2, 18, 18, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 19, 19, 1, 1, 1, 1, 2, 19, 19, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 20, 20, 1, 1, 1, 2, 1, 2, 20, 20, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 0, 0, 5, 2, 2, 2, 0, 0, 0, 0, 7, 2, 2, 2, 0, 0, 0, 0, 9, 2, 2, 2, 11, 0, 2, 2, 2, 2, 2, 2, 5, 5, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1 ]
[ 465, 1048, 203, 465, 7744, 203, 465, 15121, 99, 203, 465, 2322, 203, 465, 3619, 89, 730, 203, 1070, 3619, 89, 730, 32, 1843, 1188, 319, 203, 1070, 3619, 89, 730, 32, 7008, 1188, 9228, 81, 668, 203, 465, 9641, 203, 465, 2075, 203, 465, 4878, 203, 465, 16741, 2790, 203, 465, 18307, 203, 465, 22401, 759, 203, 1070, 7884, 1188, 4181, 81, 4018, 203, 1382, 81, 7812, 81, 1493, 280, 225, 35, 34, 34, 225, 203, 589, 11906, 1147, 26, 88, 711, 6797, 284, 310, 280, 7818, 26, 40, 43, 32, 34, 474, 225, 35, 36, 32, 34, 319, 7744, 32, 751, 26, 88, 517, 225, 38, 38, 34, 32, 34, 30, 225, 36, 490, 284, 442, 629, 26, 96, 27, 203, 589, 40440, 26, 27816, 711, 284, 489, 280, 2075, 32, 3698, 70, 81, 3364, 284, 44243, 81, 19563, 280, 2075, 32, 22813, 81, 19563, 284, 316, 1421, 280, 2149, 284, 436, 308, 1516, 30, 17501, 27, 328, 27182, 44, 291, 1596, 44, 324, 298, 280, 11906, 1147, 26, 1516, 319, 1897, 26, 22813, 81, 19563, 4165, 64, 27, 324, 415, 298, 333, 225, 34, 44, 400, 3636, 35207, 924, 440, 22656, 754, 657, 291, 2940, 35207, 924, 44, 324, 4036, 291, 415, 298, 328, 316, 1421, 44, 324, 415, 316, 1421, 77, 98, 79, 333, 17501, 44, 400, 316, 1421, 77, 98, 79, 280, 17501, 291, 813, 44, 324, 316, 1421, 77, 98, 79, 280, 17501, 284, 442, 316, 1421, 203, 589, 622, 81, 5766, 81, 14951, 26, 10449, 81, 668, 711, 284, 489, 280, 2075, 32, 3698, 70, 81, 3364, 284, 40262, 81, 29520, 280, 2075, 32, 7519, 81, 29520, 284, 415, 11736, 81, 668, 438, 646, 1665, 44, 291, 1201, 11736, 81, 668, 2867, 64, 33, 36, 1674, 34, 79, 610, 11736, 81, 668, 77, 34, 79, 291, 5997, 81, 14951, 280, 40440, 26, 23053, 26, 10449, 81, 668, 2867, 64, 33, 36, 5259, 291, 442, 10440, 98, 30, 5997, 81, 14951, 77, 98, 1130, 436, 298, 328, 622, 81, 43580, 26, 5766, 81, 14951, 27, 415, 5997, 81, 14951, 77, 98, 79, 848, 40262, 81, 29520, 461, 298, 848, 225, 41, 34, 319, 1897, 26, 64, 27, 517, 2075, 32, 22813, 81, 19563, 79, 284, 813, 44, 291, 442, 1665, 203, 589, 622, 81, 43580, 26, 94, 711, 284, 22909, 280, 15121, 99, 32, 96, 43580, 26, 40, 30, 456, 30, 1202, 4310, 5962, 1202, 44, 456, 77, 678, 5259, 284, 442, 22909, 203, 589, 622, 81, 10069, 2262, 284, 11736, 81, 668, 280, 16741, 2790, 32, 3448, 380, 346, 284, 442, 622, 81, 5766, 81, 14951, 26, 10449, 81, 668, 27, 203, 823, 6061, 7314, 26, 7608, 32, 1006, 7314, 711, 284, 665, 1156, 1664, 3207, 784, 30, 9934, 761, 30, 11906, 325, 414, 711, 291, 630, 32, 426, 280, 313, 383, 3626, 20, 291, 630, 1114, 5522, 81, 7008, 346, 291, 630, 1114, 944, 81, 761, 26, 10069, 761, 30, 11906, 325, 414, 27, 291, 630, 32, 26648, 280, 22401, 759, 32, 15043, 1598, 26, 1203, 9410, 47, 39, 34, 27, 284, 665, 943 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 2, 4, 1, 2, 2, 1, 2, 2, 4, 4, 1, 2, 2, 4, 4, 3, 4, 2, 2, 1, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 4, 1, 2, 2, 1, 2, 2, 4, 1, 2, 2, 2, 2, 4, 4, 1, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 1, 1, 2, 2, 3, 3, 4, 3, 2, 2, 2, 5, 5, 7, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 9, 9, 11, 12, 11, 13, 12, 12, 13, 13, 13, 13, 13, 11, 11, 12, 11, 3, 3, 4, 6, 7, 6, 1, 2, 2, 3, 4, 3, 2, 2, 5, 5, 6, 7, 7, 7, 7, 3, 3, 6, 6, 5, 5, 6, 7, 7, 7, 3, 3, 6, 5, 5, 3, 3, 4, 6, 5, 5, 5, 4, 4, 4, 4, 4, 6, 6, 6, 9, 9, 11, 11, 14, 13, 13, 15, 16, 16, 16, 15, 13, 11, 7, 7, 8, 9, 9, 10, 8, 8, 8, 10, 12, 12, 14, 14, 14, 6, 6, 7, 8, 7, 7, 7, 5, 5, 6, 7, 7, 8, 6, 6, 6, 8, 11, 10, 11, 10, 9, 9, 8, 8, 8, 13, 12, 13, 12, 11, 11, 6, 6, 7, 7, 7, 12, 11, 12, 11, 10, 10, 3, 3, 4, 5, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 3, 2, 2, 5, 5, 6, 7, 7, 7, 7, 3, 3, 6, 6, 5, 5, 6, 7, 7, 7, 3, 3, 4, 6, 6, 5, 5, 5, 4, 4, 4, 6, 10, 10, 9, 12, 11, 12, 9, 9, 8, 7, 7, 9, 9, 8, 9, 8, 5, 5, 8, 8, 7, 7, 9, 11, 11, 13, 13, 13, 12, 15, 14, 15, 12, 5, 5, 6, 9, 8, 8, 10, 10, 9, 10, 9, 7, 8, 8, 8, 10, 10, 10, 11, 11, 11, 10, 7, 8, 12, 12, 11, 12, 11, 10, 10, 11, 11, 9, 9, 10, 10, 13, 13, 12, 12, 14, 15, 14, 11, 11, 12, 13, 13, 13, 7, 4, 4, 5, 5, 5, 7, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 5, 5, 8, 7, 8, 8, 7, 8, 7, 7, 7, 7, 8, 10, 10, 10, 10, 11, 12, 11, 3, 3, 4, 1, 2, 2, 3, 3, 3, 2, 2, 6, 6, 5, 5, 8, 7, 8, 8, 7, 3, 3, 4, 6, 6, 6, 6, 6, 7, 7, 7, 6, 1, 2, 2, 3, 3, 5, 4, 5, 5, 3, 2, 2, 4, 5, 5, 6, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 8, 9, 7, 7, 9, 9, 9, 5, 5, 8, 9, 9, 9, 8, 5, 5, 8, 9, 9, 9, 8, 9, 9, 8, 8, 9, 9, 8, 5, 5, 8, 9, 7, 7, 10, 9, 10, 10, 9, 11, 11, 10, 11, 11, 9, 3, 3, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 0, 11, 11, 0, 12, 12, 0, 0, 13, 13, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 15, 15, 1, 2, 1, 2, 15, 15, 15, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 0, 16, 16, 2, 1, 2, 16, 16, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 4, 4, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 3, 1, 3, 3, 3, 5, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 4, 4, 4, 0, 0, 2, 0, 0, 0, 4, 4, 4, 1, 0, 17, 17, 1, 1, 1, 1, 2, 1, 1, 1, 2, 17, 17, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 2, 1, 1, 1, 0, 0, 3, 2, 3, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 4, 4, 4, 0, 0, 18, 18, 1, 1, 2, 1, 2, 18, 18, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 3, 2, 3, 4, 4, 1, 0, 19, 19, 1, 1, 2, 19, 19, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 20, 20, 1, 2, 0, 1, 2, 2, 2, 20, 20, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 5, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 4, 4, 1 ]
[ 1070, 638, 4462, 1188, 21285, 3533, 203, 1070, 638, 9874, 1188, 3909, 3533, 203, 1070, 5296, 32, 7485, 1188, 273, 30, 1015, 8718, 203, 1070, 8745, 32, 2304, 1188, 438, 12930, 203, 1070, 5296, 1188, 4004, 203, 1070, 5296, 1188, 3082, 203, 465, 2361, 203, 1070, 5365, 32, 3968, 1188, 11985, 1495, 203, 1070, 1795, 2516, 32, 2630, 1188, 10608, 203, 99, 280, 3082, 32, 1217, 203, 589, 3909, 2262, 284, 3909, 3533, 440, 9874, 2997, 81, 44391, 6175, 657, 284, 1015, 8718, 26, 11199, 3533, 81, 29202, 5637, 32, 371, 8718, 1157, 203, 823, 21285, 3533, 81, 29202, 5637, 26, 11199, 3533, 711, 1568, 665, 2519, 81, 9874, 81, 1251, 26, 784, 30, 1541, 30, 3616, 711, 291, 442, 630, 32, 7543, 2185, 4311, 26, 1251, 30, 2933, 30, 3616, 27, 284, 665, 622, 5637, 26, 784, 30, 1541, 30, 3466, 1212, 30, 1361, 6175, 711, 291, 1524, 647, 1361, 6175, 1212, 280, 3466, 1212, 291, 436, 1361, 1515, 328, 1361, 6175, 32, 1643, 14605, 1251, 32, 10407, 547, 2998, 4207, 10280, 324, 415, 646, 1361, 1515, 44, 400, 4036, 324, 1361, 6175, 1212, 280, 1361, 6175, 1212, 32, 4915, 32, 2029, 81, 1170, 26, 426, 47, 43322, 547, 13049, 346, 324, 415, 646, 1361, 6175, 1212, 44, 400, 442, 1665, 291, 442, 1361, 6175, 1212, 284, 665, 1420, 1711, 26, 784, 30, 1541, 30, 3089, 347, 10280, 291, 1361, 20415, 280, 2361, 32, 12474, 26, 784, 32, 371, 463, 9749, 81, 1113, 6175, 2847, 291, 436, 25097, 328, 630, 32, 371, 463, 9749, 1814, 2998, 45321, 10280, 324, 415, 646, 25097, 44, 400, 4036, 324, 3466, 1212, 280, 2678, 26, 1212, 547, 371, 26, 33930, 27, 324, 415, 646, 3466, 1212, 44, 400, 4036, 324, 436, 1361, 6175, 328, 1361, 20415, 44, 400, 1361, 6175, 1212, 280, 630, 32, 371, 5637, 26, 1251, 30, 3466, 1212, 30, 1361, 6175, 27, 400, 415, 646, 1361, 6175, 1212, 44, 528, 4036, 400, 1361, 6175, 1212, 32, 4915, 32, 1689, 26, 1251, 27, 400, 3082, 32, 2848, 32, 3375, 346, 400, 1626, 284, 665, 6089, 4140, 26, 784, 30, 7275, 47, 2521, 711, 291, 2152, 280, 1605, 291, 1600, 280, 11985, 1495, 440, 9749, 657, 291, 1600, 32, 470, 440, 1172, 392, 273, 26, 1581, 30, 313, 2300, 81, 18069, 2997, 81, 44391, 6175, 81, 9749, 2131, 291, 1600, 32, 470, 440, 681, 392, 313, 3242, 1613, 657, 291, 2152, 32, 1689, 26, 1495, 27, 291, 1600, 280, 11985, 1495, 440, 9749, 81, 1113, 6175, 657, 291, 1600, 32, 470, 440, 1172, 392, 273, 26, 1581, 30, 313, 2300, 81, 18069, 2997, 81, 44391, 6175, 81, 9749, 81, 1113, 6175, 2131, 291, 1600, 32, 470, 440, 681, 392, 313, 878, 657, 291, 2152, 32, 1689, 26, 1495, 27, 291, 442, 2152, 284, 477, 16099, 284, 665, 622, 8718, 2262, 291, 442, 3447, 286, 563, 400, 428, 528, 2884, 9874, 2997, 31, 44391, 6175, 392, 313, 34470, 24043, 5778, 28696, 21290, 32745, 44820, 2113, 528, 2884, 2300, 81, 18069, 2997, 81, 44391, 6175, 81, 9749, 392, 313, 76, 673, 93, 1206, 272, 31, 779 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 2, 2, 4, 1, 2, 2, 5, 2, 2, 4, 1, 2, 2, 3, 4, 2, 2, 2, 2, 4, 1, 2, 2, 3, 4, 2, 2, 4, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 3, 4, 2, 2, 4, 1, 2, 2, 4, 3, 4, 2, 2, 1, 4, 3, 3, 4, 5, 1, 2, 2, 3, 2, 2, 6, 6, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 9, 9, 9, 9, 9, 8, 9, 9, 8, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 3, 2, 2, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 8, 9, 9, 9, 8, 9, 8, 8, 8, 8, 8, 1, 1, 2, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 0, 2, 2, 0, 10, 10, 2, 10, 10, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 11, 11, 1, 1, 1, 1, 2, 1, 1, 2, 11, 11, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 12, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 7, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5237, 203, 1070, 8527, 1188, 1913, 203, 1070, 8527, 32, 1262, 1188, 20719, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 7650, 81, 9941, 203, 1070, 8527, 32, 2304, 32, 465, 1356, 1188, 1188, 81, 1647, 203, 823, 3772, 1972, 26, 1473, 711, 284, 1789, 81, 29678, 280, 428, 291, 1913, 32, 3299, 81, 2645, 81, 2111, 30, 291, 1913, 32, 25065, 81, 1286, 81, 32962, 695, 30, 291, 1913, 32, 3299, 81, 3989, 81, 979, 81, 9959, 30, 291, 1913, 32, 3299, 81, 3989, 81, 979, 81, 36318, 30, 284, 1481, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 1114, 1357, 81, 11202, 280, 630, 1114, 1071, 81, 11202, 280, 630, 1114, 1986, 81, 11202, 280, 630, 1114, 3893, 81, 11202, 280, 1665, 284, 665, 2454, 81, 11202, 26, 784, 711, 291, 645, 8527, 32, 2957, 1188, 4070, 291, 645, 8527, 32, 1262, 1188, 14735, 291, 630, 1114, 1071, 81, 11202, 280, 1605, 291, 630, 1114, 1986, 81, 11202, 280, 1605, 291, 630, 1114, 3893, 81, 11202, 280, 1605, 291, 1326, 81, 11202, 280, 1605, 291, 436, 12654, 81, 983, 328, 4070, 32, 47589, 35291, 81, 36850, 44, 324, 1596, 44, 400, 8057, 280, 12654, 81, 983, 32, 100, 1055, 36909, 324, 2940, 10091, 44, 400, 3636, 14735, 32, 37035, 462, 631, 30096, 30, 6611, 101, 7735, 6945, 102, 312, 12654, 2297, 25, 904, 12654, 81, 983, 324, 39809, 81, 1647, 30, 39809, 81, 30044, 280, 12654, 81, 983, 2867, 4260, 614, 12654, 81, 983, 77, 4260, 29, 35, 10056, 324, 1596, 44, 400, 2047, 280, 1188, 81, 1647, 26, 18538, 81, 1647, 27, 324, 2940, 29986, 30, 484, 44, 400, 3636, 14735, 32, 37035, 462, 631, 30096, 30, 330, 924, 29282, 12654, 904, 101, 44, 5461, 101, 14891, 904, 308, 18538, 81, 1647, 30, 484, 27, 324, 1596, 44, 400, 39809, 81, 823, 280, 18623, 26, 1803, 30, 39809, 81, 30044, 27, 324, 2940, 29316, 44, 400, 3636, 14735, 32, 37035, 462, 631, 30096, 30, 330, 11063, 2297, 5461, 101, 20, 1957, 646, 5597, 312, 5461, 101, 20, 443, 25, 904, 308, 18538, 81, 1647, 30, 39809, 81, 30044, 27, 324, 1596, 44, 400, 39809, 81, 2386, 280, 39809, 81, 823, 346, 324, 2940, 14735, 32, 11063, 1337, 10562, 44, 400, 4036, 324, 415, 19326, 26, 18538, 81, 2386, 30, 330, 2416, 81, 1357, 7831, 400, 1326, 81, 11202, 32, 1689, 26, 18538, 81, 2386, 32, 2416, 81, 1357, 27, 324, 415, 19326, 26, 18538, 81, 2386, 30, 330, 2416, 81, 1071, 7831, 400, 630, 1114, 1071, 81, 11202, 32, 1689, 26, 18538, 81, 2386, 32, 2416, 81, 1071, 27, 324, 415, 19326, 26, 18538, 81, 2386, 30, 330, 2416, 81, 1986, 7831, 400, 630, 1114, 1986, 81, 11202, 32, 3215, 26, 34, 30, 39809, 81, 2386, 32, 2416, 81, 1986, 27, 324, 415, 19326, 26, 18538, 81, 2386, 30, 330, 2416, 81, 3893, 7831, 400, 630, 1114, 3893, 81, 11202, 32, 3215, 26, 34, 30, 39809, 81, 2386, 32, 2416, 81, 3893, 27, 291, 630, 1114, 1357, 81, 11202, 280, 1326, 81, 11202, 284, 665, 622, 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, 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, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 6, 7, 7, 7, 7, 7, 7, 5, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 8, 8, 10, 11, 11, 11, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 5, 5, 4, 4, 5, 6, 7, 5, 5, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 7, 6, 6, 4, 4, 5, 6, 6, 5, 5, 6, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7, 10, 10, 13, 13, 12, 13, 13, 12, 7, 7, 8, 8, 8, 8, 10, 12, 13, 13, 13, 13, 11, 11, 14, 14, 15, 14, 14, 14, 14, 14, 12, 12, 13, 13, 6, 6, 10, 10, 9, 9, 10, 10, 8, 8, 11, 11, 10, 12, 10, 9, 11, 11, 10, 13, 12, 13, 11, 6, 6, 7, 7, 7, 10, 10, 12, 12, 12, 13, 13, 13, 12, 7, 7, 8, 8, 8, 8, 8, 8, 10, 12, 13, 13, 13, 13, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 13, 13, 13, 6, 6, 7, 7, 7, 11, 11, 10, 10, 12, 13, 12, 12, 13, 13, 12, 7, 7, 8, 8, 8, 8, 10, 12, 13, 13, 13, 13, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 13, 13, 14, 14, 13, 6, 6, 7, 7, 7, 11, 11, 10, 10, 12, 12, 12, 7, 7, 8, 9, 10, 10, 10, 8, 8, 8, 6, 6, 7, 9, 10, 10, 10, 9, 9, 11, 11, 11, 11, 7, 7, 12, 12, 11, 12, 11, 13, 13, 13, 12, 13, 13, 13, 11, 6, 6, 7, 9, 10, 10, 10, 9, 9, 11, 11, 11, 11, 7, 7, 12, 13, 13, 13, 11, 12, 11, 13, 13, 13, 12, 13, 13, 13, 11, 6, 6, 7, 9, 10, 10, 10, 9, 9, 11, 11, 11, 11, 7, 7, 12, 13, 13, 13, 11, 12, 11, 12, 11, 11, 13, 13, 12, 13, 13, 13, 11, 6, 6, 7, 9, 10, 10, 10, 9, 9, 11, 11, 11, 11, 7, 7, 12, 13, 13, 13, 11, 12, 11, 12, 11, 11, 13, 13, 12, 13, 13, 13, 11, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 4, 4, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 6, 1, 1, 6, 6, 3, 2, 2, 2, 2, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 3, 3, 3, 3, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 5, 5, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 5, 5, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 3, 3, 3, 3, 3, 3, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 5, 5, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 4, 4, 3, 1, 2, 2, 2, 3, 3, 3, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 5, 5, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 5, 5, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 5, 5, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 8, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 3, 1 ]
[ 465, 22045, 203, 1070, 48885, 38, 1188, 34031, 30, 10701, 2852, 203, 1070, 638, 965, 3728, 6794, 1188, 27178, 81, 2413, 3728, 6794, 203, 1070, 638, 1188, 3049, 203, 823, 3834, 3728, 26, 37571, 32, 67, 3728, 30, 27178, 81, 2413, 3728, 6794, 711, 284, 1984, 40820, 280, 10701, 2852, 32, 978, 12561, 10760, 26, 466, 30, 596, 27, 284, 665, 1156, 1664, 3207, 784, 30, 1984, 47, 2521, 30, 2935, 47, 2521, 30, 296, 47, 30609, 32, 9071, 32, 1669, 4629, 22805, 291, 34031, 32, 67, 3728, 3667, 1664, 3207, 784, 30, 2935, 30, 296, 27, 291, 630, 32, 5522, 10816, 26, 784, 27, 291, 415, 1984, 44, 324, 630, 32, 2413, 1031, 3579, 32, 470, 18727, 1031, 26, 965, 27, 291, 630, 32, 2245, 346, 291, 442, 284, 665, 3049, 81, 9040, 26, 784, 711, 291, 630, 32, 4756, 1669, 280, 3049, 32, 9030, 26, 784, 30, 313, 465, 2413, 32, 916, 657, 291, 442, 284, 665, 3835, 81, 9040, 26, 784, 711, 291, 1984, 280, 596, 26, 784, 32, 2413, 1031, 3579, 32, 452, 18727, 1031, 1157, 291, 1596, 44, 324, 11828, 280, 22045, 32, 305, 33786, 26, 965, 27, 324, 5430, 280, 11828, 32, 33232, 346, 291, 2940, 3268, 619, 484, 44, 324, 34031, 32, 67, 22957, 32, 11722, 26, 400, 1665, 30, 400, 313, 5288, 372, 2156, 3834, 392, 400, 313, 9752, 646, 2156, 322, 3191, 3834, 32, 225, 5294, 1505, 372, 7279, 766, 400, 688, 844, 1159, 20087, 322, 3809, 3834, 5327, 96, 78, 96, 109, 34, 16054, 1643, 26, 466, 26, 87, 490, 324, 829, 324, 442, 291, 4159, 280, 35617, 2524, 26, 4446, 27, 291, 630, 32, 965, 40820, 32, 7911, 26, 916, 30, 1984, 27, 291, 630, 32, 7494, 346, 291, 442, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 4, 4, 7, 6, 7, 7, 7, 6, 7, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 9, 8, 9, 7, 8, 8, 7, 3, 3, 8, 9, 9, 7, 8, 8, 8, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 7, 8, 7, 4, 4, 5, 5, 5, 5, 10, 11, 11, 11, 9, 10, 10, 10, 9, 10, 9, 4, 4, 7, 8, 7, 4, 4, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 4, 4, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 12, 11, 12, 12, 12, 10, 11, 11, 11, 10, 4, 4, 5, 5, 5, 8, 8, 10, 11, 11, 10, 11, 10, 6, 6, 8, 8, 10, 11, 10, 5, 5, 6, 7, 7, 6, 6, 6, 11, 12, 12, 10, 11, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 10, 10, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 14, 14, 14, 13, 12, 14, 14, 15, 14, 10, 10, 7, 7, 4, 4, 6, 6, 9, 8, 9, 8, 4, 4, 8, 9, 9, 7, 8, 7, 8, 7, 7, 7, 4, 4, 7, 8, 7, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 0, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 3, 1, 1, 3, 3, 3, 0, 2, 2, 0, 2, 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, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 3, 3, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 32714, 107, 32, 12023, 32, 419, 20390, 1188, 390, 17734, 44907, 30, 13708, 203, 1070, 32714, 107, 32, 12023, 32, 1204, 8281, 1734, 32, 1872, 696, 1188, 358, 41177, 2359, 16653, 203, 1070, 32714, 107, 32, 9003, 1188, 13030, 27534, 4439, 203, 1070, 32714, 107, 2195, 32, 3028, 1188, 6906, 1067, 107, 2195, 1097, 203, 1070, 32714, 107, 2195, 32, 2304, 1188, 13316, 39373, 1547, 203, 465, 7138, 203, 1070, 2340, 1040, 32, 3922, 1188, 3185, 203, 1070, 8527, 32, 2304, 1188, 22158, 203, 465, 8527, 32, 1199, 32, 2304, 203, 823, 677, 29576, 44907, 26, 53, 17734, 44907, 711, 284, 636, 280, 313, 6763, 108, 20, 284, 6660, 81, 20798, 280, 3037, 14857, 5634, 32, 508, 32, 1872, 1446, 284, 5880, 280, 313, 1499, 32, 14857, 5634, 32, 508, 20, 3701, 1477, 81, 11400, 280, 428, 291, 313, 525, 555, 37154, 32, 14857, 5634, 32, 508, 32, 1872, 33, 1700, 31, 5101, 22159, 31, 315, 17036, 31, 35, 41, 10590, 203, 202, 20, 525, 555, 37154, 32, 14857, 5634, 32, 508, 32, 1872, 33, 15407, 31, 24018, 31, 36, 35, 34, 5681, 284, 1481, 284, 7019, 280, 308, 291, 13708, 26, 33130, 696, 2359, 16653, 26, 4568, 37346, 1700, 11466, 5101, 22159, 11466, 315, 17036, 11466, 35, 41, 33, 3424, 8169, 916, 370, 34306, 3309, 1057, 2208, 81, 1094, 370, 1976, 47, 1815, 471, 203, 202, 3842, 26, 33130, 696, 2359, 16653, 26, 4568, 37346, 15407, 11466, 24018, 11466, 36, 35, 34, 33, 3424, 8169, 916, 370, 34306, 3309, 1057, 2208, 81, 1094, 370, 1976, 47, 1815, 471, 284, 829, 3701, 665, 3185, 81, 1094, 26, 784, 30, 1789, 711, 291, 1914, 347, 7318, 20, 291, 415, 1833, 1986, 32, 4545, 27, 461, 2884, 4919, 404, 482, 20, 328, 1789, 32, 4545, 8531, 324, 1914, 347, 4919, 404, 482, 20, 291, 595, 280, 6906, 1067, 107, 2195, 1097, 26, 965, 47, 1986, 32, 965, 30, 324, 5880, 47, 784, 32, 11327, 81, 20798, 77, 34, 614, 324, 1914, 47, 1855, 30, 324, 1795, 47, 1986, 32, 1548, 32, 5460, 26, 1986, 32, 8644, 471, 324, 281, 1294, 1231, 81, 770, 47, 18218, 32, 2174, 1157, 203, 202, 1270, 44, 324, 595, 32, 2853, 346, 291, 2940, 8527, 32, 1199, 32, 2304, 32, 9191, 543, 924, 44, 3269, 1459, 313, 965, 5375, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 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, 7, 7, 7, 7, 7, 5, 5, 2, 2, 4, 4, 5, 5, 7, 9, 9, 9, 9, 9, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 7, 8, 10, 10, 10, 10, 7, 8, 9, 7, 5, 5, 7, 7, 9, 9, 9, 9, 9, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 7, 8, 10, 10, 10, 10, 7, 8, 9, 7, 5, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 8, 8, 4, 4, 5, 10, 9, 10, 8, 7, 7, 11, 11, 11, 11, 9, 9, 10, 11, 8, 5, 5, 8, 10, 10, 10, 10, 4, 4, 6, 6, 8, 8, 8, 8, 8, 10, 9, 11, 10, 11, 8, 8, 8, 9, 12, 11, 12, 12, 12, 10, 11, 10, 8, 8, 9, 10, 8, 8, 8, 9, 13, 12, 13, 11, 12, 11, 13, 12, 13, 11, 8, 8, 10, 10, 10, 10, 9, 12, 11, 12, 11, 4, 4, 5, 5, 5, 5, 9, 10, 9, 5, 5, 6, 9, 10, 8, 9, 7, 8, 8, 8, 6, 6, 6, 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 ]
[ 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 4, 4, 1, 6, 6, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 1, 4, 0, 9, 9, 1, 1, 2, 1, 1, 1, 2, 9, 9, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 1, 1, 1, 2, 1, 5, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 1, 1, 1, 2, 1, 5, 2, 1, 2, 2, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 1, 2, 4, 4, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 3, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 5, 2, 1, 1, 1, 7, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 9, 0, 0, 2, 1, 4, 4, 3, 3, 3, 3, 0, 2, 1, 3, 3, 3, 0, 2, 0, 2, 1, 2, 2, 2, 3, 3, 3, 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 ]
[ 465, 17735, 37, 203, 465, 22045, 203, 465, 316, 203, 1070, 22045, 32, 1357, 1188, 13380, 33786, 203, 1070, 14208, 38, 1188, 39231, 203, 589, 2575, 2262, 284, 11062, 2413, 280, 330, 525, 555, 1499, 32, 1382, 23423, 5248, 32, 508, 33, 873, 1588, 295, 352, 32, 916, 25, 284, 11062, 2961, 280, 22045, 32, 1357, 32, 305, 33786, 26, 4919, 2413, 27, 284, 11062, 3629, 2418, 280, 39231, 26, 4919, 2961, 30, 330, 916, 39, 1356, 683, 284, 4081, 280, 11062, 3629, 2418, 32, 1311, 32, 800, 32, 2998, 17919, 16050, 34, 997, 7201, 346, 284, 11062, 1311, 280, 11062, 3629, 2418, 32, 98, 32, 800, 32, 2998, 17919, 16050, 34, 997, 7201, 346, 284, 2340, 280, 313, 1347, 2340, 2431, 20, 284, 31640, 2413, 280, 428, 4919, 2413, 79, 284, 623, 17735, 37, 32, 3517, 463, 21218, 32, 1199, 683, 619, 3082, 44, 291, 281, 280, 3082, 32, 7017, 346, 291, 281, 32, 4526, 26, 291, 330, 6037, 4925, 5503, 2370, 12139, 31640, 308, 314, 14035, 11190, 5578, 30, 1780, 13404, 30, 7618, 13404, 1947, 291, 330, 2898, 13404, 30, 4081, 13404, 30, 2340, 13404, 30, 18471, 13404, 30, 2643, 277, 13404, 30, 48460, 13404, 1947, 291, 330, 2552, 13404, 30, 1825, 620, 13404, 19188, 291, 281, 32, 4526, 440, 6691, 3753, 31640, 4998, 4081, 280, 330, 24025, 1588, 295, 352, 32147, 291, 436, 1984, 328, 31640, 2413, 44, 324, 18471, 280, 4825, 35, 20, 324, 2643, 277, 280, 225, 34, 324, 1780, 280, 11062, 3629, 2418, 32, 1311, 32, 800, 32, 2998, 17919, 16050, 35, 997, 7201, 346, 324, 2156, 965, 280, 22045, 32, 1357, 32, 305, 33786, 26, 965, 27, 324, 1344, 30122, 280, 39231, 26, 1676, 965, 30, 330, 916, 39, 1356, 683, 324, 622, 98, 280, 1344, 30122, 32, 1809, 81, 464, 463, 98, 683, 324, 436, 298, 328, 622, 98, 44, 400, 1596, 44, 528, 415, 298, 710, 823, 8150, 34, 997, 5729, 346, 328, 2107, 3478, 370, 330, 1637, 1816, 370, 330, 4021, 3478, 370, 330, 4884, 713, 282, 493, 370, 330, 4536, 370, 2270, 330, 3259, 81, 9131, 12132, 261, 715, 4036, 400, 2940, 44, 528, 3097, 400, 10475, 466, 280, 298, 32, 371, 81, 878, 922, 7201, 346, 400, 415, 10475, 466, 32, 15990, 440, 1318, 10280, 528, 4036, 400, 323, 2051, 1414, 280, 298, 32, 18889, 463, 839, 683, 400, 2643, 1464, 280, 1605, 400, 1596, 44, 528, 1932, 928, 280, 323, 2051, 1414, 77, 34, 997, 8884, 81, 43286, 32, 8884, 81, 43286, 32, 7201, 346, 400, 2940, 44, 528, 1932, 928, 280, 323, 2051, 1414, 77, 34, 997, 8884, 81, 43286, 32, 7201, 346, 400, 2643, 1464, 32, 1689, 26, 2232, 928, 27, 400, 436, 3203, 328, 323, 2051, 1414, 44, 528, 1596, 44, 715, 1344, 280, 3203, 32, 1978, 81, 43286, 32, 1978, 81, 43286, 32, 7201, 346, 528, 2940, 44, 715, 1344, 280, 3203, 32, 1978, 81, 43286, 32, 7201, 346, 528, 415, 1344, 438, 1665, 556, 1344, 610, 4247, 556, 1344, 32, 297, 1166, 2262, 1014, 4036, 528, 415, 1344, 32, 20643, 26, 100, 44860, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 7, 8, 6, 7, 7, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 6, 8, 8, 8, 8, 2, 2, 4, 4, 12, 12, 11, 12, 10, 11, 9, 10, 9, 11, 8, 7, 7, 6, 2, 2, 5, 4, 4, 12, 12, 11, 12, 10, 11, 9, 10, 9, 11, 8, 7, 7, 6, 2, 2, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 5, 2, 2, 3, 9, 8, 9, 8, 10, 10, 10, 10, 6, 6, 3, 3, 3, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 5, 5, 5, 6, 5, 5, 5, 8, 8, 10, 10, 6, 6, 9, 8, 8, 9, 6, 6, 8, 8, 16, 16, 15, 16, 14, 15, 13, 14, 13, 15, 12, 11, 11, 10, 6, 6, 9, 8, 8, 11, 12, 10, 11, 11, 10, 11, 10, 6, 6, 9, 8, 8, 10, 11, 11, 10, 10, 12, 12, 12, 12, 6, 6, 9, 8, 8, 11, 10, 11, 11, 11, 10, 12, 12, 6, 6, 7, 7, 7, 8, 7, 7, 7, 9, 9, 9, 11, 16, 18, 18, 16, 15, 15, 14, 12, 12, 15, 15, 13, 15, 15, 15, 13, 15, 15, 15, 13, 15, 15, 15, 15, 15, 13, 15, 15, 13, 13, 15, 15, 15, 15, 11, 11, 11, 9, 9, 10, 10, 10, 8, 8, 11, 10, 10, 14, 15, 15, 15, 14, 13, 12, 8, 8, 9, 12, 11, 12, 11, 13, 13, 9, 9, 8, 8, 11, 11, 10, 10, 12, 13, 12, 14, 14, 8, 8, 11, 10, 10, 8, 8, 9, 9, 9, 13, 12, 12, 18, 18, 17, 18, 17, 17, 17, 17, 15, 16, 16, 16, 14, 15, 14, 9, 9, 10, 10, 10, 14, 13, 13, 18, 18, 17, 18, 17, 17, 17, 17, 15, 16, 15, 8, 8, 12, 11, 12, 11, 12, 12, 11, 8, 8, 9, 9, 9, 10, 10, 9, 9, 9, 11, 11, 11, 14, 14, 18, 19, 19, 19, 17, 18, 18, 18, 16, 17, 16, 11, 11, 12, 12, 12, 15, 15, 18, 19, 19, 19, 17, 18, 17, 10, 10, 11, 14, 14, 13, 13, 14, 14, 12, 12, 14, 15, 15, 14, 11, 11, 10, 10, 11, 13, 14, 13, 15, 15, 15 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 5, 5, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 7, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 7, 7, 7, 0, 0, 0, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 1, 2, 5, 5, 0, 0, 0, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 5, 5, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 5, 5, 6, 6, 6, 3, 6, 6, 6, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 3, 3, 3, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 5, 5, 2, 0, 0, 2, 1, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 2, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 5, 5, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 5, 5, 0, 0, 2, 1, 1, 1, 1, 5, 5, 7, 7, 7, 3, 3, 7, 7, 7, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 3, 3, 3, 0, 0, 0, 2, 2, 2, 0, 2, 1, 5, 5, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 5, 5, 2, 0, 2, 1, 0, 0, 1 ]
[ 1070, 3619, 307, 18533, 32, 1903, 1188, 7422, 2798, 30, 646, 81, 3574, 203, 1070, 15798, 1188, 19205, 203, 465, 2322, 203, 823, 2108, 1222, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 858, 81, 2122, 280, 330, 525, 555, 307, 18533, 31, 1055, 35, 32, 3870, 83, 32, 329, 32, 3418, 33, 307, 89, 31, 1903, 25, 291, 630, 32, 2613, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 330, 965, 81, 2613, 683, 284, 665, 894, 81, 1819, 81, 44920, 407, 26, 784, 711, 291, 4567, 280, 7422, 2798, 26, 784, 32, 858, 81, 2122, 30, 3320, 47, 784, 32, 2613, 27, 291, 1619, 280, 4567, 32, 890, 81, 1819, 26, 1217, 347, 17473, 657, 291, 1201, 1619, 32, 44920, 407, 81, 12704, 610, 313, 17473, 20, 284, 665, 894, 81, 1819, 81, 9679, 5231, 36, 26, 784, 711, 291, 4567, 280, 7422, 2798, 26, 784, 32, 858, 81, 2122, 30, 3320, 47, 784, 32, 2613, 27, 291, 1619, 280, 4567, 32, 890, 81, 1819, 26, 2250, 1057, 3103, 2027, 39, 683, 291, 1619, 36, 280, 1619, 32, 24691, 504, 26, 1160, 347, 2027, 3898, 31, 3103, 39, 51, 31, 14860, 657, 291, 1201, 1619, 36, 32, 27319, 81, 15106, 710, 2250, 785, 610, 330, 3103, 2027, 39, 25, 291, 1201, 1619, 36, 32, 27319, 81, 15106, 710, 1160, 785, 610, 330, 2027, 3898, 31, 3103, 39, 51, 31, 14860, 25, 284, 665, 894, 81, 1819, 81, 9679, 5231, 81, 7740, 387, 472, 26, 784, 711, 291, 4567, 280, 7422, 2798, 26, 784, 32, 858, 81, 2122, 30, 3320, 47, 784, 32, 2613, 27, 291, 1619, 280, 4567, 32, 890, 81, 1819, 26, 2250, 1057, 3103, 2027, 39, 683, 291, 1619, 36, 280, 1619, 32, 24691, 504, 26, 1160, 11414, 2027, 3898, 31, 3103, 39, 51, 31, 14860, 370, 330, 2027, 3898, 31, 3103, 39, 51, 31, 9648, 3490, 291, 1201, 1619, 36, 32, 11357, 81, 998, 848, 225, 34, 291, 1201, 1619, 36, 32, 27319, 81, 15106, 710, 2250, 785, 610, 330, 3103, 2027, 39, 25, 291, 1201, 8594, 26, 1819, 36, 2855, 638, 27319, 81, 15106, 2855, 638, 371, 464, 463, 1160, 2847, 610, 2107, 2027, 3898, 31, 3103, 39, 51, 31, 14860, 370, 330, 2027, 3898, 31, 3103, 39, 51, 31, 9648, 785, 284, 665, 894, 81, 1819, 81, 27319, 81, 7740, 387, 472, 36, 26, 784, 711, 291, 4567, 280, 7422, 2798, 26, 784, 32, 858, 81, 2122, 30, 3320, 47, 784, 32, 2613, 27, 291, 1619, 280, 4567, 32, 890, 81, 1819, 26, 2250, 1057, 3103, 2027, 39, 370, 1542, 1057, 2027, 3898, 31, 3103, 39, 51, 31, 9648, 683, 291, 1201, 1619, 32, 27319, 81, 15106, 32, 371, 464, 463, 1160, 683, 610, 2107, 2027, 3898, 31, 3103, 39, 51, 31, 9648, 785, 291, 1619, 36, 280, 1619, 32, 24691, 504, 26, 1160, 11414, 2027, 3898, 31, 3103, 39, 51, 31, 9648, 370, 330, 2027, 3898, 31, 3103, 39, 51, 31, 14860, 3490, 291, 1201, 8594, 26, 1819, 36, 2855, 638, 27319, 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, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 8, 10, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 10, 9, 10, 10, 10, 8, 8, 9, 11, 10, 11, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9, 11, 11, 4, 4, 5, 7, 8, 8, 8, 8, 6, 6, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 10, 9, 10, 10, 10, 8, 8, 9, 11, 10, 11, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9, 11, 11, 11, 11, 4, 4, 7, 6, 6, 8, 9, 9, 8, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 9, 8, 9, 9, 9, 7, 9, 9, 6, 6, 8, 8, 8, 8, 4, 4, 5, 9, 8, 9, 9, 9, 7, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 10, 9, 10, 10, 10, 8, 8, 9, 11, 10, 11, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9, 11, 11, 11, 11, 4, 4, 7, 6, 6, 8, 9, 9, 8, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 5, 8, 7, 8, 8, 8, 6, 6, 7, 4, 4, 5, 9, 8, 9, 9, 9, 7, 9, 9, 6, 6, 8, 8, 8, 8, 4, 4, 5, 8, 12, 12, 11, 11, 12, 12, 12, 10, 10, 11, 11, 10, 12, 12, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 10, 9, 10, 10, 10, 8, 8, 9, 11, 10, 11, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9, 11, 11, 11, 11, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 9, 10, 10, 10, 8, 9, 9, 8, 10, 10, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 6, 6, 8, 9, 9, 8, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 5, 8, 12, 12, 11, 11, 12, 12 ]
[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 4, 4, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 4, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 0, 0, 0, 0, 2, 2 ]
[ 465, 25679, 203, 465, 316, 261, 203, 465, 18792, 203, 1070, 24731, 32, 1580, 32, 5983, 1188, 8145, 203, 823, 676, 35, 3782, 2710, 26, 1473, 711, 284, 2156, 1237, 81, 2516, 280, 301, 291, 330, 2480, 81, 34432, 81, 6360, 950, 330, 410, 370, 291, 330, 47822, 81, 3248, 950, 330, 410, 370, 291, 330, 980, 31016, 950, 330, 410, 370, 291, 330, 12505, 81, 9003, 950, 330, 2420, 370, 291, 330, 13449, 5738, 950, 330, 410, 370, 291, 330, 9003, 950, 330, 72, 35, 2168, 4439, 370, 291, 330, 2387, 950, 330, 72, 35, 10480, 3442, 2710, 370, 291, 330, 18925, 81, 6360, 81, 5483, 81, 15009, 950, 330, 410, 25, 284, 320, 284, 3879, 81, 1110, 280, 301, 291, 330, 2480, 81, 34432, 81, 6360, 950, 330, 2480, 35128, 9023, 370, 291, 330, 47822, 81, 3248, 950, 330, 47822, 5827, 370, 291, 330, 980, 31016, 950, 330, 980, 31016, 370, 291, 330, 12505, 81, 9003, 950, 330, 12505, 4439, 370, 291, 330, 13449, 5738, 950, 330, 13449, 5738, 370, 291, 330, 9003, 950, 330, 9003, 370, 291, 330, 2387, 950, 330, 2387, 370, 291, 330, 18925, 81, 6360, 81, 5483, 81, 15009, 950, 330, 18925, 9023, 5125, 14070, 25, 284, 320, 284, 665, 1156, 1664, 3207, 784, 30, 4523, 81, 34432, 81, 6360, 47, 2521, 30, 46036, 81, 3248, 47, 2521, 30, 9631, 1785, 47, 2521, 30, 13244, 81, 9003, 47, 2521, 30, 11935, 5738, 47, 2521, 30, 9182, 47, 2521, 30, 3079, 47, 2521, 30, 28400, 81, 6360, 81, 5483, 81, 15009, 47, 2521, 30, 2196, 81, 6862, 81, 5983, 47, 2521, 711, 16189, 415, 2196, 81, 6862, 81, 5983, 438, 1665, 44, 324, 2196, 81, 6862, 81, 5983, 280, 8145, 346, 291, 630, 32, 1696, 81, 6862, 81, 5983, 280, 2196, 81, 6862, 81, 5983, 291, 630, 1114, 2480, 81, 34432, 81, 6360, 280, 1665, 291, 630, 1114, 47822, 81, 3248, 280, 1665, 291, 630, 1114, 980, 31016, 280, 1665, 291, 630, 1114, 12505, 81, 9003, 280, 1665, 291, 630, 1114, 13449, 5738, 280, 1665, 291, 630, 1114, 9003, 280, 1665, 291, 630, 1114, 2387, 280, 1665, 291, 630, 1114, 18925, 81, 6360, 81, 5483, 81, 15009, 280, 1665, 291, 630, 32, 1285, 21999, 280, 1665, 291, 415, 4523, 81, 34432, 81, 6360, 438, 646, 1665, 44, 324, 630, 32, 2480, 81, 34432, 81, 6360, 280, 4523, 81, 34432, 81, 6360, 291, 415, 46036, 81, 3248, 438, 646, 1665, 44, 324, 630, 32, 47822, 81, 3248, 280, 46036, 81, 3248, 291, 415, 9631, 1785, 438, 646, 1665, 44, 324, 630, 32, 980, 31016, 280, 9631, 1785, 291, 415, 13244, 81, 9003, 438, 646, 1665, 44, 324, 630, 32, 12505, 81, 9003, 280, 13244, 81, 9003, 291, 415, 11935, 5738, 438, 646, 1665, 44, 324, 630, 32, 13449, 5738, 280, 11935, 5738, 291, 415, 9182, 438, 646, 1665, 44, 324, 630, 32, 9003, 280, 9182, 291, 630, 32, 2387, 280, 3079, 291, 415, 28400, 81, 6360, 81, 5483, 81, 15009, 438, 646, 1665, 44, 324, 630, 32, 18925, 81, 6360, 81, 5483, 81, 15009, 280, 28400, 81, 6360 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 6, 4, 4, 6, 6, 6, 6, 5, 6, 4, 3, 3, 5, 7, 7, 7, 7, 6, 6, 5, 5, 5, 9, 9, 9, 9, 8, 8, 10, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 5, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 9, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 9, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 5, 9, 10, 10, 10, 8, 8, 9, 9, 4, 4, 5, 7, 6, 6, 6, 5, 5, 5, 9, 10, 10, 8, 8, 9, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 5, 9, 10, 10, 10, 8, 8, 9, 9, 4, 4, 5, 7, 6, 6, 6, 5, 5, 5, 9, 10, 10, 8, 8, 9, 4, 4, 5, 6, 6, 6, 5, 5, 5, 9, 10, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 5, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 1, 2, 7, 1, 2, 2, 2, 1, 1, 2, 9, 1, 2, 2, 2, 1, 2, 11, 1, 1, 1, 1, 2, 2, 2, 1, 2, 13, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 15, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 2, 5, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 1, 1, 2, 2, 2, 1, 1, 2, 9, 1, 1, 2, 2, 2, 1, 2, 11, 1, 2, 2, 2, 1, 2, 13, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 0, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 0, 11, 2, 2, 2, 13, 2, 2, 2, 15, 2, 2, 2, 0, 0, 0, 0, 0, 0, 17, 2, 2, 2, 0, 0, 0, 0, 19, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 11, 0, 0, 0, 0, 1, 1, 1, 11, 11, 11, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 12, 0, 0, 1, 1, 1, 12, 12, 12, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 13, 0, 1, 1, 1, 13, 13, 13, 0, 2, 2, 0, 0, 2, 4, 4, 14, 0, 0, 1, 1, 1, 14, 14, 14, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 15, 0, 1, 1, 1, 15, 15, 15, 0, 2, 2, 0, 0, 2, 4, 4, 16, 1, 1, 1, 16, 16, 16, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 18, 0, 0, 0, 0, 0, 0, 1, 1, 1, 18, 18, 18, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2 ]
[ 465, 16672, 203, 465, 12870, 81, 5379, 203, 1070, 18603, 32, 64, 28639, 1188, 29793, 307, 30, 32056, 203, 1070, 18603, 32, 8519, 32, 5142, 842, 24513, 1114, 10672, 1188, 5447, 23257, 203, 1070, 18603, 32, 5142, 12176, 1188, 24393, 203, 1070, 18603, 32, 5142, 12176, 1188, 617, 4228, 9117, 203, 1070, 18603, 32, 5142, 12176, 32, 2304, 1188, 8560, 882, 10780, 265, 203, 1070, 3639, 4785, 32, 1356, 32, 9660, 1188, 328, 380, 203, 1070, 3639, 4785, 32, 1356, 1188, 7853, 5052, 203, 1070, 3639, 4785, 32, 7008, 32, 23312, 1188, 319, 203, 1070, 3639, 4785, 32, 4682, 2518, 32, 8031, 1188, 21450, 203, 1070, 3639, 4785, 32, 7008, 1188, 2908, 14960, 203, 589, 2575, 2262, 203, 202, 3922, 280, 16672, 32, 26633, 26, 2310, 1057, 57, 356, 17915, 10178, 265, 9585, 312, 15341, 623, 312, 4345, 544, 1591, 5209, 461, 322, 316, 20858, 367, 17810, 44210, 544, 322, 4121, 5122, 544, 322, 1604, 5209, 32, 2244, 18978, 1503, 883, 526, 2431, 821, 1678, 555, 101, 5996, 31, 983, 817, 1229, 32, 933, 32, 716, 33, 833, 363, 4614, 13093, 225, 14971, 81, 823, 47, 626, 2208, 32, 3484, 14490, 9030, 8736, 27, 203, 202, 3922, 32, 669, 81, 2669, 463, 3242, 370, 225, 3049, 1057, 3350, 328, 3136, 1226, 2179, 30, 3751, 619, 9439, 74, 32, 3220, 81, 3242, 32, 5309, 683, 203, 202, 3922, 32, 669, 81, 2669, 463, 405, 1551, 81, 761, 370, 262, 3049, 1057, 31341, 62, 803, 30, 3751, 619, 9439, 74, 32, 268, 20858, 367, 81, 20283, 32, 405, 1551, 683, 203, 202, 3922, 32, 669, 81, 2669, 26, 6470, 97, 370, 11363, 2024, 761, 370, 3049, 1057, 2301, 15341, 4870, 370, 1244, 280, 330, 89, 356, 17915, 81, 268, 20858, 993, 32, 4682, 683, 203, 202, 601, 4118, 32, 2208, 81, 1132, 346, 203, 589, 4878, 81, 3922, 26, 2956, 30, 28805, 47, 2700, 711, 203, 202, 589, 10178, 265, 81, 2208, 81, 3007, 81, 5905, 26, 1473, 30, 7116, 47, 2700, 711, 357, 202, 5905, 280, 1605, 357, 202, 928, 280, 1300, 32, 928, 357, 202, 5525, 2933, 44, 355, 202, 325, 646, 1628, 44, 603, 202, 2969, 603, 202, 13225, 10091, 440, 32966, 1165, 943, 432, 1628, 5929, 5359, 1858, 657, 355, 202, 325, 1628, 2867, 1473, 32, 10870, 81, 10573, 997, 38848, 346, 328, 1300, 32, 31232, 81, 37220, 44, 603, 202, 325, 1300, 32, 2811, 499, 1459, 440, 3595, 1477, 432, 6613, 657, 603, 202, 2969, 355, 202, 928, 280, 1628, 32, 38848, 346, 355, 202, 325, 1628, 610, 27676, 563, 603, 202, 13225, 10091, 440, 32966, 1165, 943, 432, 5359, 1858, 30, 10029, 37902, 25, 2431, 657, 355, 202, 325, 1628, 328, 1300, 32, 17436, 81, 3285, 81, 12213, 9135, 44, 603, 202, 325, 1300, 32, 2811, 499, 1459, 440, 3595, 943, 432, 5359, 657, 603, 202, 928, 280, 1300, 32, 2956, 32, 25637, 346, 603, 202, 2969, 355, 202, 325, 1628, 77, 36, 44, 1473, 32, 17436, 81, 23995, 19669, 81, 3324, 1438, 997, 7201, 346, 610, 34863, 603, 202, 1216, 26, 928, 77, 36, 44, 1473, 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, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 1, 1, 5, 4, 4, 6, 7, 6, 8, 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, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 7, 9, 9, 8, 9, 9, 9, 9, 6, 2, 2, 6, 5, 6, 6, 6, 5, 7, 7, 5, 5, 6, 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, 5, 5, 6, 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, 5, 7, 7, 5, 7, 7, 7, 5, 6, 8, 8, 8, 8, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 3, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 6, 6, 4, 4, 7, 6, 6, 7, 8, 4, 4, 5, 5, 5, 5, 5, 7, 7, 8, 7, 7, 7, 9, 8, 8, 9, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 7, 7, 11, 14, 13, 14, 14, 14, 11, 11, 10, 8, 8, 9, 10, 10, 10, 7, 7, 7, 9, 9, 10, 11, 9, 9, 13, 15, 15, 15, 15, 15, 8, 8, 9, 6, 6, 9, 8, 8, 10, 11, 10, 6, 6, 7, 7, 8, 8, 10, 7, 7, 9, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 7, 7, 8, 8, 9, 10, 10, 10, 10, 10, 10, 7, 7, 7, 9, 9, 10, 11, 9, 9, 13, 15, 15, 15, 15, 15, 8, 8, 11, 10, 10, 13, 14, 12, 13, 12, 8, 8, 9, 6, 6, 7, 7, 11, 13, 12, 14, 13, 14, 14, 14, 14, 14, 14, 14, 11, 11, 10, 8, 8, 7, 7, 11, 11, 15, 14, 16, 15, 17, 16 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 4, 4, 1, 6, 3, 3, 0, 0, 4, 4, 1, 2, 2, 4, 4, 0, 5, 5, 1, 2, 2, 5, 5, 0, 0, 0, 6, 6, 1, 2, 2, 1, 4, 6, 6, 0, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 9, 9, 0, 1, 2, 1, 4, 9, 9, 0, 10, 10, 0, 1, 2, 2, 1, 4, 10, 10, 0, 11, 11, 0, 1, 2, 11, 11, 0, 0, 12, 12, 2, 12, 12, 0, 0, 0, 0, 2, 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, 0, 0, 3, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 3, 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, 1, 1, 1, 1, 2, 1, 1, 3, 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, 1, 1, 2, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 0, 2, 2, 2, 1, 0, 13, 13, 1, 1, 2, 1, 2, 2, 3, 2, 2, 13, 13, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 4, 4, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 1, 3, 3, 0, 0, 0, 0, 2, 1, 3, 3, 3, 3, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 3, 3, 2, 3, 3, 5, 5, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 5, 5, 0, 1, 0, 0, 0, 2, 0, 2 ]
[ 465, 2322, 203, 465, 2361, 203, 1070, 15903, 4785, 81, 1786, 1188, 21905, 2059, 1290, 203, 1070, 15903, 81, 1786, 32, 1439, 32, 14458, 1188, 28167, 1972, 203, 1070, 15903, 81, 1786, 32, 6728, 32, 4531, 1188, 15363, 1972, 13976, 30, 15363, 1972, 60, 17321, 13976, 203, 1070, 15903, 81, 1786, 32, 2304, 1188, 1984, 81, 983, 81, 2524, 619, 1044, 2524, 203, 4386, 280, 2322, 32, 983, 32, 7781, 4064, 761, 8223, 203, 1793, 2156, 26, 500, 32, 983, 32, 2524, 26, 4386, 30, 330, 1320, 32, 1260, 2847, 619, 27650, 44, 284, 1503, 280, 2361, 32, 944, 26, 19423, 39336, 1648, 785, 203, 589, 617, 24108, 81, 1786, 81, 6728, 81, 3953, 2262, 284, 442, 428, 291, 301, 324, 330, 1647, 950, 1156, 426, 7642, 324, 330, 725, 950, 5938, 1290, 291, 320, 284, 1481, 203, 823, 5938, 1972, 26, 284, 15363, 1972, 60, 17321, 13976, 30, 284, 15363, 1972, 13976, 30, 284, 28167, 1972, 284, 8063, 284, 665, 622, 26, 784, 711, 291, 1359, 81, 605, 280, 301, 324, 313, 725, 2062, 563, 1503, 30, 324, 330, 21358, 950, 630, 32, 1439, 81, 965, 30, 324, 330, 1956, 950, 630, 32, 3550, 710, 1956, 2188, 324, 330, 2620, 5972, 2205, 950, 1044, 2524, 26, 784, 32, 1439, 81, 965, 30, 330, 1574, 370, 630, 32, 426, 471, 324, 330, 12711, 2205, 950, 1044, 2524, 26, 784, 32, 1439, 81, 965, 30, 330, 2763, 33, 1425, 291, 320, 291, 442, 630, 32, 1821, 26, 324, 630, 32, 3169, 81, 2387, 26, 400, 330, 1055, 32, 916, 370, 400, 907, 47, 784, 32, 1574, 81, 965, 30, 400, 1695, 81, 965, 47, 784, 32, 1439, 81, 965, 30, 400, 2404, 47, 784, 32, 3550, 710, 1956, 2188, 400, 1938, 81, 1163, 47, 1163, 81, 605, 400, 829, 324, 829, 203, 823, 5938, 1290, 26, 13746, 2059, 1290, 711, 284, 5016, 81, 965, 280, 3056, 2763, 25, 284, 1244, 81, 965, 280, 3056, 2763, 25, 284, 1123, 81, 965, 280, 2430, 2763, 20, 284, 636, 280, 1156, 426, 505, 284, 2454, 81, 2455, 81, 9081, 280, 3177, 284, 1123, 81, 426, 280, 330, 60, 15551, 13746, 5938, 9872, 25, 284, 907, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 4386, 30, 330, 1832, 683, 284, 12877, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 4386, 30, 330, 8881, 683, 284, 1123, 81, 1648, 280, 1503, 284, 1123, 81, 3550, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 4386, 30, 330, 1832, 370, 330, 3164, 81, 3550, 683, 284, 28458, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 4386, 30, 330, 1832, 370, 330, 14331, 683, 284, 29578, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 4386, 30, 330, 1832, 370, 330, 16479, 683, 284, 1256, 81, 3550, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 4386, 30, 330, 1832, 370, 330, 496, 81, 3550, 683, 284, 1389, 8732, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 4386, 30, 330, 1832, 370, 330, 47610, 683, 284, 665, 7379, 81, 14458, 26, 784, 711, 291, 630, 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, 0, 1, 1, 3, 3, 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, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 4, 4, 4, 4, 2, 2, 3, 0, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 0, 1, 1, 6, 10, 9, 10, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 4, 4, 1, 1, 1, 4, 4, 7, 8, 7, 8, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 5, 5, 8, 8, 6, 7, 7, 5, 5, 8, 8, 6, 7, 5, 5, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 10, 10, 10, 8, 7, 7, 7, 10, 10, 8, 9, 10, 10, 10, 7, 7, 7, 10, 10, 8, 10, 11, 9, 11, 11, 7, 7, 10, 10, 10, 10, 8, 10, 10, 12, 11, 12, 12, 12, 10, 10, 12, 12, 10, 11, 12, 10, 7, 7, 10, 10, 10, 8, 10, 10, 12, 11, 12, 12, 12, 10, 10, 12, 12, 12, 7, 7, 4, 4, 5, 7, 8, 7, 7, 7, 9, 10, 10, 10, 9, 9, 9, 11, 11, 11, 11, 9, 9, 10, 12, 11, 12, 12, 12, 9, 9, 9, 11, 11, 10, 12, 11, 12, 12, 12, 9, 9, 9, 10, 13, 12, 13, 11, 13, 13, 9, 9, 11, 11, 10, 11, 11, 11, 9, 9, 7, 7, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 8, 8, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 8, 8, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 8, 8, 6, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 8, 8, 6, 8, 8, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 8, 8, 6, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 8, 8, 6, 8, 8, 8, 8, 2, 2, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 8, 8, 6, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 0, 0, 0, 3, 3, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 7, 7, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 7, 7, 7, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 8, 8, 1, 1, 1, 1, 1, 1, 1, 2, 8, 8, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 3, 2, 1, 1, 1, 1, 0, 9, 9, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 5, 2, 2, 9, 9, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 2, 5, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 7, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 5, 2, 1, 2, 2, 1, 1, 2, 9, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 4, 4, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 5, 0, 2, 2, 2, 2, 1, 1, 1, 7, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 9, 2, 2, 2, 1, 1, 1, 1, 0, 10, 10, 1, 2, 1, 1, 1, 2, 10, 10, 0, 0, 0, 0, 1, 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, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 14, 1, 1, 2, 1, 2, 14, 14, 0 ]
[ 465, 6436, 619, 2065, 203, 465, 2322, 30, 22977, 203, 1070, 7996, 1188, 23507, 203, 465, 343, 1393, 366, 7550, 81, 90, 4727, 81, 1253, 4223, 81, 363, 81, 35, 86, 619, 343, 1393, 366, 7550, 203, 1322, 81, 3804, 280, 225, 35, 32, 34, 87, 31, 37, 225, 203, 106, 13495, 280, 9650, 35, 39, 34, 32, 34, 87, 37, 28, 1322, 81, 3804, 30, 36, 34, 34, 32, 34, 87, 37, 28, 1322, 81, 3804, 79, 203, 108, 13495, 280, 9650, 35, 41, 39, 32, 34, 87, 37, 28, 1322, 81, 3804, 30, 34, 32, 34, 79, 203, 589, 408, 491, 2499, 26, 3399, 605, 711, 284, 11494, 81, 2171, 280, 225, 37, 284, 3691, 1515, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 1537, 1515, 27, 284, 2322, 32, 31015, 26, 3399, 605, 32, 37904, 27, 284, 436, 4870, 328, 2322, 32, 26366, 3949, 7831, 291, 415, 308, 3607, 32, 15990, 463, 6099, 16335, 86, 25, 904, 11494, 81, 2171, 8531, 324, 22977, 32, 2991, 761, 26, 3607, 30, 3607, 32, 3227, 463, 6099, 16335, 86, 25, 904, 11494, 81, 2171, 1947, 9751, 370, 35, 490, 284, 18830, 280, 343, 1393, 366, 7550, 32, 12349, 346, 284, 18830, 32, 850, 463, 16012, 32, 605, 683, 284, 2322, 32, 31015, 26, 30606, 27, 284, 7996, 280, 23507, 26, 16012, 27, 284, 33747, 35, 280, 7996, 32, 13293, 35, 28, 1322, 81, 3804, 284, 33747, 36, 280, 7996, 32, 13293, 36, 28, 1322, 81, 3804, 284, 1288, 98, 35, 280, 7996, 32, 22690, 35, 28, 1322, 81, 3804, 284, 1288, 98, 36, 280, 7996, 32, 22690, 36, 28, 1322, 81, 3804, 284, 816, 2390, 280, 7996, 32, 106, 2390, 284, 533, 2390, 280, 7996, 32, 107, 2390, 284, 665, 1992, 85, 36, 98, 26, 3077, 30, 10810, 711, 291, 33747, 30, 2983, 280, 7996, 32, 1110, 85, 36, 98, 81, 13648, 26, 3077, 30, 10810, 27, 291, 442, 33747, 28, 1322, 81, 3804, 30, 2983, 28, 1322, 81, 3804, 284, 665, 6867, 81, 16012, 26, 1700, 81, 605, 711, 291, 645, 3619, 4785, 1188, 11220, 1166, 30, 6867, 30, 816, 1172, 30, 533, 1172, 30, 12904, 81, 2132, 291, 32348, 280, 11220, 1166, 26, 13293, 35, 30, 13293, 36, 30, 35, 34, 34, 27, 291, 1288, 94, 280, 11220, 1166, 26, 22690, 35, 30, 22690, 36, 30, 35, 34, 34, 27, 291, 6867, 26, 9445, 30, 34681, 1947, 89, 370, 36077, 47, 37, 27, 291, 12904, 81, 2132, 26, 1172, 891, 47, 36, 39, 27, 291, 816, 1172, 463, 7319, 315, 24670, 370, 22240, 47, 36, 39, 27, 291, 533, 1172, 463, 7319, 315, 24670, 370, 22240, 47, 36, 39, 27, 284, 645, 1532, 812, 2423, 32, 1874, 573, 812, 1188, 932, 494, 7333, 284, 6867, 605, 32, 3815, 34951, 346, 10065, 665, 6915, 1287, 100, 26, 1700, 81, 605, 711, 291, 2678, 280, 1550, 81, 605, 32, 99, 291, 442, 25298, 99, 77, 34, 13206, 33605, 474, 2678, 77, 35, 13206, 33605, 474, 2678, 77, 36, 36550, 1130, 284, 6867, 7630, 280, 6867, 605, 32, 890, 81, 3399, 7630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 0, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 3, 4, 4, 4, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 5, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 8, 7, 8, 8, 6, 2, 2, 5, 6, 5, 7, 7, 6, 7, 5, 2, 2, 3, 3, 3, 5, 6, 5, 7, 3, 3, 5, 9, 8, 9, 8, 11, 11, 11, 11, 9, 9, 10, 10, 8, 5, 5, 9, 10, 10, 9, 10, 9, 12, 11, 12, 11, 14, 14, 14, 14, 12, 12, 13, 13, 11, 13, 13, 12, 11, 2, 2, 4, 4, 7, 7, 7, 6, 7, 6, 2, 2, 5, 6, 5, 7, 7, 7, 7, 2, 2, 5, 6, 5, 6, 5, 2, 2, 4, 4, 6, 7, 6, 2, 2, 5, 4, 4, 6, 7, 7, 5, 6, 6, 6, 2, 2, 5, 4, 4, 6, 7, 7, 5, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 5, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 5, 6, 6, 6, 2, 2, 5, 4, 4, 5, 6, 6, 2, 2, 5, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 9, 9, 9, 9, 9, 8, 9, 8, 9, 8, 4, 4, 5, 7, 8, 8, 8, 6, 8, 7, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 5, 5, 4, 3, 3, 5, 7, 5, 5, 7, 5, 5, 5, 5, 7, 5, 5, 7, 5, 5, 7, 7, 4, 4, 6, 6, 8, 8, 9, 9, 8, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 8, 8, 9, 9, 8, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 7, 9, 9, 9, 8, 9, 7, 4, 4, 7, 7, 7, 9, 9, 8, 9, 9, 7, 4, 4, 7, 7, 9, 9, 9, 9, 9, 8, 9, 9, 7, 4, 4, 7, 7, 9, 9, 9, 9, 9, 8, 9, 9, 7, 2, 2, 3, 5, 5, 4, 5, 5, 5, 3, 3, 5, 5, 2, 2, 6, 5, 6, 6, 5, 2, 2, 3, 4, 4, 4, 5, 5, 5, 4, 3, 3, 6, 6, 8, 8, 7, 8, 4, 4, 5, 11, 10, 11, 10, 10, 9, 9, 10, 11, 10, 10, 8, 8, 9, 10, 9, 9, 2, 2, 5, 4, 4, 7, 6, 7, 7, 7, 7 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 0, 7, 7, 1, 1, 2, 1, 1, 2, 7, 7, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 1, 2, 1, 4, 4, 3, 3, 3, 0, 2, 1, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 5, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 14, 1, 1, 1, 2, 1, 2, 3, 2, 14, 14, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 3, 1, 4, 4, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 4, 4, 15, 1, 1, 2, 1, 1, 1, 2, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 5, 5, 5, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 5, 5, 5, 1, 4, 4, 1, 1, 1, 3, 1, 1, 2, 0, 7, 2, 1, 4, 4, 0, 0, 1, 0, 0, 1, 2, 2, 1, 4, 4, 0, 1, 1, 1, 1, 2, 0, 3, 2, 2, 1, 4, 4, 0, 1, 1, 1, 1, 2, 0, 3, 2, 2, 1, 4, 4, 16, 0, 0, 1, 2, 2, 2, 16, 16, 0, 0, 4, 4, 0, 0, 2, 2, 1, 4, 4, 18, 1, 1, 2, 1, 1, 1, 2, 18, 18, 0, 0, 0, 0, 2, 2, 4, 4, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2 ]
[ 465, 1133, 203, 465, 1312, 9034, 5229, 974, 203, 66, 913, 280, 1312, 9034, 5229, 974, 32, 5229, 346, 203, 823, 25979, 8496, 1339, 2262, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 731, 280, 225, 34, 291, 630, 32, 69, 24588, 70, 10248, 81, 61, 37678, 280, 225, 36, 42, 34, 291, 630, 32, 69, 24588, 70, 10248, 81, 26574, 72, 280, 225, 34, 32, 40, 291, 630, 32, 69, 24588, 70, 10248, 81, 35302, 72, 280, 225, 35, 36, 291, 630, 32, 69, 24588, 70, 10248, 81, 44382, 51, 280, 225, 35, 42, 291, 630, 32, 69, 24588, 70, 10248, 81, 26574, 51, 280, 225, 36, 32, 36, 291, 630, 32, 69, 24588, 70, 10248, 81, 35302, 51, 280, 429, 36, 291, 630, 32, 18130, 81, 61, 37678, 280, 225, 41, 39, 291, 630, 32, 18130, 81, 26574, 72, 280, 225, 34, 32, 40, 291, 630, 32, 18130, 81, 35302, 72, 280, 225, 34, 32, 36, 291, 630, 32, 18130, 81, 44382, 51, 280, 225, 43, 291, 630, 32, 18130, 81, 26574, 51, 280, 225, 37, 291, 630, 32, 18130, 81, 35302, 51, 280, 429, 34, 32, 34, 34, 35, 291, 630, 32, 3248, 72, 280, 225, 42, 34, 34, 291, 630, 32, 3248, 51, 280, 225, 35, 34, 34, 34, 291, 630, 32, 7987, 733, 81, 731, 81, 72, 35, 280, 225, 34, 291, 630, 32, 7987, 733, 81, 731, 81, 72, 36, 280, 225, 34, 291, 630, 32, 7987, 733, 81, 731, 81, 51, 35, 280, 225, 34, 291, 630, 32, 7987, 733, 81, 731, 81, 51, 36, 280, 225, 34, 291, 630, 32, 2135, 81, 731, 81, 72, 35, 280, 225, 34, 291, 630, 32, 2135, 81, 731, 81, 72, 36, 280, 225, 34, 291, 630, 32, 2135, 81, 731, 81, 51, 35, 280, 225, 34, 291, 630, 32, 2135, 81, 731, 81, 51, 36, 280, 225, 34, 284, 665, 6216, 17073, 26, 784, 30, 4121, 30, 26416, 30, 827, 30, 1256, 13860, 711, 291, 630, 32, 731, 280, 1897, 26, 3576, 429, 26416, 27, 291, 415, 1256, 13860, 10844, 35, 950, 263, 400, 1224, 37678, 280, 630, 32, 69, 24588, 70, 10248, 81, 61, 37678, 400, 48581, 72, 280, 630, 32, 69, 24588, 70, 10248, 81, 26574, 72, 400, 1224, 86, 72, 280, 630, 32, 69, 24588, 70, 10248, 81, 35302, 72, 400, 1224, 98, 51, 280, 630, 32, 69, 24588, 70, 10248, 81, 44382, 51, 400, 48581, 51, 280, 630, 32, 69, 24588, 70, 10248, 81, 26574, 51, 400, 1224, 86, 51, 280, 630, 32, 69, 24588, 70, 10248, 81, 35302, 51, 291, 415, 1256, 13860, 10844, 36, 950, 400, 1224, 37678, 280, 630, 32, 18130, 81, 61, 37678, 400, 48581, 72, 280, 630, 32, 18130, 81, 26574, 72, 400, 1224, 86, 72, 280, 630, 32, 18130, 81, 35302, 72, 400, 1224, 98, 51, 280, 630, 32, 18130, 81, 44382, 51, 400, 48581, 51, 280, 630, 32, 18130, 81, 26574, 51, 400, 1224, 86, 51, 280, 630, 32, 18130, 81, 35302, 51, 291, 827, 1917, 280, 301, 13499, 330, 14603, 35, 950, 428 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 3, 3, 2, 2, 5, 5, 5, 4, 5, 4, 0, 1, 1, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 10, 9, 9, 8, 4, 4, 5, 7, 6, 8, 8, 5, 5, 5, 9, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 6, 6, 9, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 6, 6, 9, 9, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 6, 6, 9, 9, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 6, 6, 9, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 6, 6, 9, 9, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 7, 6, 8, 8, 5, 5, 9, 8, 8, 9, 10, 10, 10, 10, 6, 6, 9, 8, 8, 9, 10, 10, 10, 10, 6, 6, 9, 9, 8, 8, 9, 10, 10, 10, 10, 6, 6, 9, 9, 8, 8, 9, 10, 10, 10, 10, 6, 6, 9, 8, 8, 9, 10, 10, 10, 10, 6, 6, 9, 9, 8, 8, 9, 10, 10, 10, 10, 4, 4, 7, 6, 6, 7, 7, 10, 10, 10, 8 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 3, 3, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 4, 4, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 2, 1 ]
[ 9592, 203, 1297, 81, 10415, 32, 978, 203, 51, 4865, 225, 36, 3261, 436, 6892, 461, 15255, 7946, 12947, 2276, 32, 203, 10581, 308, 53, 27, 225, 36, 34, 35, 40, 38613, 108, 278, 677, 2461, 2531, 203, 2272, 3460, 438, 3741, 2932, 45, 844, 883, 14086, 561, 461, 33, 271, 5351, 203, 283, 1531, 322, 5955, 432, 322, 6987, 6146, 5056, 1177, 619, 9581, 810, 203, 1382, 7823, 3859, 7113, 45, 3154, 1503, 225, 37, 432, 322, 1177, 30, 556, 203, 26, 269, 1370, 2470, 27, 1346, 6125, 1503, 32, 203, 2272, 3460, 438, 2728, 328, 322, 9845, 688, 561, 1098, 526, 6364, 30, 203, 698, 4197, 2964, 9339, 45, 2876, 4444, 322, 4500, 14327, 432, 203, 22286, 7752, 556, 8108, 4786, 399, 7848, 7755, 32, 225, 2802, 322, 203, 21327, 6146, 5056, 1177, 436, 1829, 4245, 32, 203, 4282, 1395, 1159, 6584, 312, 1933, 432, 322, 6987, 6146, 5056, 1177, 203, 40198, 623, 458, 3460, 45, 415, 646, 30, 2866, 372, 322, 7823, 3859, 7113, 30, 203, 16476, 4317, 225, 39, 35, 34166, 22339, 30, 33343, 26928, 30, 25030, 30, 13066, 225, 34, 36, 35, 35, 34, 31, 35, 37, 34, 35, 225, 15070, 203, 50, 2116, 44, 262, 38613, 108, 278, 677, 2461, 2531, 203, 50, 11794, 44, 261, 36, 34, 35, 40, 32, 3367, 4751, 5215, 32, 203, 50, 2077, 44, 264, 23539, 37, 203, 50, 5546, 44, 264, 9019, 108, 278, 32, 90, 2461, 2531, 50, 7253, 32, 508, 203, 10890, 44, 284, 8964, 358, 38225, 19482, 69, 28222, 8848, 32061, 20418, 225, 36, 32, 284, 4786, 32061, 225, 37, 30, 6131, 313, 35622, 24431, 32, 978, 2296, 203, 9592, 203, 465, 5237, 203, 465, 2322, 203, 465, 16672, 203, 589, 3185, 81, 1132, 2262, 284, 4118, 280, 16672, 32, 26633, 346, 284, 4118, 32, 669, 81, 2669, 12605, 88, 370, 11363, 761, 370, 3049, 1057, 1382, 803, 3536, 636, 544, 1510, 322, 12947, 5122, 438, 6783, 372, 526, 6895, 308, 12172, 526, 1654, 623, 769, 891, 2470, 19188, 284, 4118, 32, 669, 81, 2669, 12605, 101, 370, 11363, 891, 370, 3049, 1057, 891, 432, 322, 12947, 5122, 328, 20692, 17156, 1592, 308, 12172, 526, 1654, 623, 769, 761, 2470, 7243, 827, 47, 410, 27, 284, 4118, 32, 669, 81, 2669, 12605, 97, 370, 11363, 1719, 370, 3049, 1057, 268, 21332, 322, 12947, 803, 461, 40102, 2819, 12947, 5122, 370, 34664, 1057, 3539, 683, 284, 4118, 32, 669, 81, 2669, 12664, 10529, 370, 3049, 1057, 2493, 3676, 328, 322, 9541, 2926, 308, 47184, 436, 15555, 3878, 7243, 2125, 1057, 2157, 81, 1508, 683, 284, 2181, 280, 4118, 32, 2208, 81, 1132, 346, 284, 1596, 44, 291, 415, 646, 2181, 32, 761, 461, 646, 2181, 32, 891, 461, 646, 2181, 32, 1719, 44, 324, 415, 646, 2181, 32, 10529, 44, 400, 4118, 32, 1216, 81, 4756, 346, 400, 3636, 3268, 346, 324, 813, 44, 400, 3636, 3268, 13692, 10529, 2470, 4881, 526, 1654, 27356, 657, 291, 415, 26, 1132, 32, 761, 461, 646, 2181, 32, 891, 27, 556, 308, 1206, 2181, 32, 761, 461, 2181, 32, 891, 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 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 5, 6, 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, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 7, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 3, 3, 5, 8, 9, 10, 7, 7, 8, 9, 10, 6, 6, 7, 8, 9, 5, 5, 5, 7, 8, 9, 10, 7, 7, 7, 11, 12, 12, 12, 11, 8, 8, 9, 11, 7, 7, 8, 8, 8, 10, 12, 14, 14, 14, 14, 14, 14, 14, 4, 4, 7, 10, 9, 10, 8, 8, 9, 10, 11, 7, 6, 6, 9, 9, 10, 11, 8, 8, 9, 10, 7 ]
[ 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, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 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, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 6, 6, 6, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 1, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2 ]
[ 465, 2322, 203, 1070, 20894, 32, 6319, 1188, 38092, 203, 465, 5741, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 4073, 32, 34318, 26, 7490, 32, 1589, 27, 203, 465, 11630, 1187, 203, 465, 11630, 1187, 32, 1199, 619, 3082, 203, 465, 11630, 1187, 32, 8478, 619, 7842, 203, 465, 11630, 1187, 32, 2796, 16397, 619, 3973, 16397, 203, 4266, 280, 3177, 261, 203, 1536, 81, 3607, 280, 330, 1163, 25, 203, 1536, 81, 22594, 81, 761, 280, 2322, 32, 983, 32, 2524, 26, 8478, 32, 725, 605, 81, 1515, 1026, 1244, 81, 3607, 27, 203, 1163, 81, 1648, 81, 13461, 280, 330, 2653, 1187, 32, 1163, 32, 1648, 25, 203, 1163, 81, 1648, 280, 11630, 1187, 32, 1648, 81, 7288, 77, 34, 614, 11630, 1187, 32, 1648, 81, 7288, 77, 35, 79, 203, 770, 81, 1643, 81, 13461, 280, 330, 2653, 1187, 32, 1536, 81, 770, 81, 1643, 25, 203, 11869, 81, 2388, 81, 13461, 280, 330, 2653, 1187, 32, 11869, 81, 2388, 25, 203, 912, 81, 5457, 81, 13461, 280, 330, 2653, 1187, 32, 4573, 81, 5457, 25, 203, 2208, 81, 3368, 2232, 81, 13461, 280, 330, 2653, 1187, 32, 2208, 81, 3368, 2232, 25, 203, 2208, 81, 4548, 2232, 81, 13461, 280, 330, 2653, 1187, 32, 2208, 81, 4548, 2232, 25, 203, 9660, 81, 13461, 280, 330, 2653, 1187, 32, 9660, 25, 203, 539, 81, 38022, 81, 1580, 81, 13461, 280, 330, 2653, 1187, 32, 539, 81, 38022, 81, 1580, 25, 203, 1070, 1359, 3922, 1188, 16289, 46487, 203, 823, 617, 22594, 26, 2665, 711, 284, 665, 1156, 1664, 3207, 784, 30, 4870, 47, 1536, 81, 22594, 81, 761, 711, 291, 630, 1114, 3607, 280, 4870, 284, 665, 3219, 26, 784, 711, 291, 5881, 291, 7379, 322, 23340, 30, 1395, 1755, 526, 3823, 645, 1123, 32, 1831, 291, 5881, 291, 5759, 30, 13203, 280, 2322, 32, 983, 32, 2998, 26, 784, 1114, 3607, 27, 291, 415, 646, 2322, 32, 983, 32, 4658, 26, 1816, 711, 324, 2322, 32, 27428, 26, 1816, 27, 291, 415, 646, 2322, 32, 983, 32, 4658, 26, 500, 32, 983, 32, 2524, 26, 1816, 30, 330, 575, 370, 330, 8881, 41095, 324, 2322, 32, 27428, 26, 500, 32, 983, 32, 2524, 26, 1816, 30, 330, 575, 370, 330, 8881, 2847, 291, 630, 32, 1163, 280, 16289, 46487, 346, 291, 415, 646, 2322, 32, 983, 32, 4658, 26, 784, 1114, 3607, 711, 324, 630, 77, 1163, 81, 1648, 81, 13461, 79, 280, 1359, 81, 1648, 291, 813, 44, 324, 630, 32, 1163, 32, 850, 26, 784, 1114, 3607, 27, 291, 1503, 280, 630, 77, 1163, 81, 1648, 81, 13461, 79, 291, 415, 1503, 438, 1665, 44, 324, 4082, 32, 5691, 15339, 101, 1401, 1289, 1359, 1503, 15711, 25, 904, 630, 1114, 3607, 27, 324, 4082, 32, 5691, 463, 8126, 322, 1359, 1503, 372, 904, 101, 15231, 101, 25, 6029, 904, 308, 1163, 81, 1648, 490, 324, 630, 77, 1163, 81, 1648, 81, 13461, 79, 280, 1359, 81, 1648, 291, 630, 32, 37329, 26, 539, 81, 38022, 81, 1580, 81, 13461, 30, 3177, 27, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 4, 3, 4, 3, 5, 4, 5, 3, 0, 1, 1, 3, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 4, 3, 4, 4, 2, 2, 3, 0, 3, 2, 2, 0, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 7, 6, 7, 7, 7, 7, 6, 4, 5, 5, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 6, 5, 6, 6, 6, 4, 5, 4, 3, 6, 5, 6, 6, 6, 4, 5, 4, 0, 3, 3, 3, 3, 3, 2, 2, 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, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 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, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 6, 6, 6, 6, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 8, 4, 4, 5, 6, 9, 10, 8, 9, 8, 9, 8, 5, 5, 9, 10, 9, 10, 9, 4, 4, 5, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 10, 10, 12, 12, 10, 12, 12, 5, 5, 9, 10, 9, 13, 12, 13, 11, 12, 11, 12, 11, 11, 13, 13, 11, 13, 13, 4, 4, 7, 8, 6, 6, 8, 8, 4, 4, 5, 6, 9, 10, 8, 9, 8, 10, 9, 10, 8, 5, 5, 9, 10, 10, 10, 10, 10, 9, 8, 8, 9, 9, 5, 5, 6, 6, 6, 11, 12, 10, 11, 10, 12, 11, 12, 10, 4, 4, 6, 6, 7, 8, 8, 8, 8, 8, 7, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 12, 9, 6, 6, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 12, 12, 12, 11, 6, 6, 9, 10, 10, 10, 10, 10, 9, 8, 8, 9, 9, 4, 4, 7, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 4 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 5, 5, 0, 0, 6, 6, 0, 0, 2, 1, 1, 0, 7, 7, 0, 0, 2, 1, 1, 0, 8, 8, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 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, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 21, 21, 0, 21, 21, 0, 0, 22, 22, 1, 2, 1, 2, 22, 22, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 4, 4, 3, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 1, 4, 4, 5, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 5, 5, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 5, 5, 4, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 7, 1, 1, 7, 7, 7, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 6436, 619, 2065, 203, 1070, 3001, 893, 32, 3792, 1188, 15173, 203, 1070, 3001, 893, 32, 9211, 1188, 10084, 81, 366, 11192, 203, 1070, 3001, 893, 32, 9211, 1188, 39749, 81, 2029, 30, 10084, 81, 38903, 203, 589, 372, 81, 7003, 81, 366, 11192, 26, 1275, 30, 28967, 47, 2700, 711, 284, 415, 4791, 32, 12010, 610, 2065, 32, 2420, 44, 291, 4791, 280, 2065, 32, 955, 26, 1275, 30, 330, 1774, 42, 683, 284, 415, 4791, 32, 1449, 346, 610, 4791, 32, 887, 2262, 291, 415, 4791, 32, 887, 346, 610, 225, 35, 44, 324, 442, 2065, 32, 955, 26, 1275, 319, 225, 36, 39, 39, 30, 330, 1774, 42, 683, 291, 813, 44, 324, 442, 2065, 32, 955, 26, 1275, 30, 330, 1774, 42, 683, 284, 813, 44, 291, 273, 280, 10084, 81, 366, 11192, 26, 1275, 27, 284, 4791, 77, 1275, 2511, 273, 79, 280, 225, 36, 39, 39, 415, 28967, 813, 225, 34, 284, 4791, 77, 1275, 848, 273, 79, 280, 225, 34, 415, 28967, 813, 225, 36, 39, 39, 284, 442, 2065, 32, 955, 26, 1275, 30, 330, 1774, 42, 683, 203, 589, 372, 81, 7003, 81, 38903, 26, 1275, 711, 284, 16355, 280, 225, 35, 32, 34, 284, 345, 280, 1769, 26, 1275, 32, 3229, 27, 284, 415, 345, 848, 225, 36, 34, 34, 34, 44, 291, 2163, 81, 891, 280, 225, 42, 34, 284, 4348, 345, 848, 225, 35, 39, 34, 34, 44, 291, 2163, 81, 891, 280, 225, 39, 34, 284, 4348, 345, 848, 225, 35, 34, 34, 34, 44, 291, 2163, 81, 891, 280, 225, 37, 39, 284, 813, 44, 291, 2163, 81, 891, 280, 225, 36, 34, 284, 323, 1275, 280, 39749, 81, 2029, 26, 1275, 30, 16355, 47, 11756, 27, 284, 323, 1275, 280, 10084, 81, 38903, 26, 84, 1275, 30, 2163, 81, 891, 30, 3401, 47, 36, 517, 225, 36, 39, 39, 27, 284, 323, 1275, 280, 2065, 32, 955, 26, 84, 1275, 30, 330, 1774, 42, 683, 319, 225, 36, 39, 39, 284, 442, 323, 1275, 203, 589, 1015, 81, 3478, 26, 1275, 30, 1334, 4310, 36, 42, 30, 225, 36, 42, 471, 3168, 81, 891, 47, 34, 30, 3208, 81, 853, 47, 36, 39, 39, 711, 284, 4791, 280, 15173, 26, 1275, 30, 308, 891, 77, 34, 79, 429, 3168, 81, 891, 319, 225, 36, 30, 5556, 1334, 77, 35, 79, 429, 3168, 81, 891, 319, 225, 36, 490, 284, 4791, 280, 2065, 32, 955, 26, 1275, 319, 225, 36, 39, 39, 30, 330, 1774, 42, 683, 284, 1688, 81, 1275, 280, 2065, 32, 5783, 26, 891, 30, 330, 1774, 42, 683, 319, 3208, 81, 853, 284, 415, 3168, 81, 891, 610, 225, 34, 44, 291, 1688, 81, 1275, 6894, 22913, 280, 4791, 284, 813, 44, 291, 1688, 81, 1275, 77, 3478, 81, 891, 5979, 3478, 81, 891, 30, 3168, 81, 891, 5979 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 5, 6, 4, 4, 5, 6, 3, 3, 3, 6, 6, 8, 9, 8, 9, 8, 8, 10, 10, 10, 2, 2, 3, 6, 7, 6, 4, 4, 6, 7, 6, 3, 3, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 7, 9, 10, 9, 11, 10, 10, 11, 11, 11, 9, 9, 11, 11, 11, 5, 5, 6, 6, 6, 8, 10, 11, 10, 11, 10, 10, 12, 12, 12, 3, 3, 4, 4, 4, 7, 7, 9, 9, 9, 9, 10, 9, 2, 2, 5, 7, 6, 6, 5, 4, 4, 6, 6, 6, 5, 5, 5, 5, 6, 2, 2, 5, 7, 6, 6, 5, 4, 4, 6, 5, 5, 5, 5, 6, 6, 6, 2, 2, 3, 5, 6, 5, 6, 5, 5, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 5, 5, 5, 2, 2, 4, 4, 6, 8, 7, 8, 6, 2, 2, 3, 4, 4, 5, 5, 5, 5, 3, 3, 3, 7, 7, 6, 6, 7, 7, 3, 3, 4, 5, 5, 6, 6, 6, 6, 4, 4, 4, 8, 8, 7, 7, 8, 8, 3, 3, 4, 5, 5, 6, 6, 6, 6, 4, 4, 4, 8, 8, 7, 7, 8, 8, 3, 3, 4, 4, 4, 8, 8, 7, 7, 8, 8, 2, 2, 5, 4, 4, 6, 6, 6, 7, 6, 6, 7, 8, 6, 2, 2, 5, 4, 4, 6, 6, 6, 7, 7, 6, 6, 7, 7, 6, 6, 7, 9, 8, 8, 9, 9, 9, 6, 2, 2, 5, 4, 4, 7, 8, 7, 8, 8, 7, 7, 9, 9, 9, 5, 5, 6, 6, 6, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 5, 5, 4, 4, 5, 5, 4, 2, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 4, 4, 2, 1, 1, 4, 4, 6, 7, 6, 6, 10, 9, 10, 9, 8, 8, 10, 10, 9, 9, 10, 7, 7, 7, 9, 10, 9, 8, 8, 10, 10, 9, 9, 10, 7, 2, 2, 4, 4, 6, 7, 6, 8, 7, 7, 8, 8, 8, 6, 6, 8, 8, 8, 2, 2, 5, 5, 4, 4, 7, 8, 7, 8, 7, 7, 9, 9, 9, 5, 5, 6, 6, 2, 2, 3, 5, 5, 4, 4, 5, 3, 3, 3, 8, 8, 7, 7, 6, 6, 3, 3, 4, 4, 4, 9, 9, 8, 10, 10, 10, 9, 11, 11, 11, 8, 8, 10, 10, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 4, 4, 1, 1, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 7, 7, 0, 0, 0, 8, 8, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 8, 8, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 2, 2, 2, 4, 4, 0, 0, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 4, 1, 1, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 5, 1, 1, 2, 2, 2, 2, 5, 5, 5, 0, 0, 0, 0, 2, 2, 2, 2, 6, 6, 6, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 6, 1, 0, 10, 10, 1, 1, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 0, 0, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 10, 10, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 3, 3, 3, 0, 2, 0, 3, 3, 0, 0, 2, 2, 2, 3, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 0, 0, 1, 1, 2, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 4 ]
[ 465, 2322, 203, 500, 32, 12757, 1365, 37952, 1446, 280, 313, 1676, 20, 203, 465, 316, 30, 5237, 30, 12460, 30, 4159, 30, 16672, 30, 4060, 864, 4846, 1889, 30, 2676, 7128, 30, 16539, 30, 1695, 40, 38, 30, 17778, 30, 5592, 32, 48609, 32, 1308, 3350, 203, 1070, 24297, 1188, 570, 3969, 974, 203, 1070, 802, 1188, 10838, 203, 1270, 44, 284, 645, 44524, 1188, 44524, 284, 1491, 3644, 3402, 280, 44524, 203, 7343, 29986, 44, 284, 645, 3363, 1188, 18394, 2338, 284, 1491, 3644, 3402, 280, 18394, 2338, 203, 1270, 44, 284, 645, 22045, 32, 1357, 1188, 4448, 30, 13380, 33786, 203, 7343, 29986, 44, 284, 645, 22045, 36, 1188, 4448, 30, 13380, 33786, 203, 7920, 81, 466, 280, 540, 2993, 334, 37425, 1924, 110, 683, 12740, 588, 4793, 25521, 19713, 334, 308, 284, 1833, 2805, 77, 83, 31, 15188, 31, 76, 8274, 35, 30, 35, 34, 111, 555, 42741, 27, 2264, 588, 12253, 312, 12841, 428, 83, 31, 76, 6603, 35, 31, 35, 34, 556, 434, 284, 48193, 14891, 33, 8274, 35, 30, 4104, 32, 6797, 588, 12253, 312, 5880, 426, 308, 1813, 5341, 474, 8057, 27, 284, 428, 83, 31, 15188, 31, 76, 8274, 36, 30, 111, 12456, 20, 785, 109, 34, 30, 1748, 2850, 588, 886, 5880, 6728, 461, 33, 271, 1519, 284, 523, 284, 1833, 2805, 33, 12302, 5327, 1569, 12302, 1569, 27, 4696, 588, 4793, 623, 517, 30, 877, 30, 1569, 284, 48193, 20, 12507, 30, 23842, 319, 18627, 1784, 22, 80, 33, 32291, 13644, 3212, 2033, 588, 10961, 5341, 883, 1330, 526, 1179, 284, 48193, 20, 12507, 30, 23842, 7662, 109, 35, 30, 1748, 6019, 588, 13698, 432, 322, 7125, 883, 1330, 526, 284, 523, 284, 6262, 83, 31, 15188, 31, 76, 34, 31, 43, 81, 11466, 33, 8274, 35, 30, 3188, 3389, 588, 29457, 6998, 623, 517, 284, 428, 83, 31, 15188, 31, 76, 34, 31, 43, 81, 11466, 33, 8274, 35, 30, 111, 423, 588, 6287, 636, 284, 766, 10695, 2805, 77, 83, 31, 15188, 31, 76, 8274, 35, 30, 38, 33741, 1141, 27, 2033, 588, 13698, 474, 5016, 308, 1322, 225, 35, 31, 38, 556, 2125, 27, 284, 308, 2805, 13644, 47170, 21, 1674, 80, 20, 110, 785, 109, 34, 30, 33741, 490, 2850, 588, 1018, 556, 588, 3634, 623, 3377, 284, 523, 284, 6262, 83, 31, 15188, 31, 76, 34, 31, 43, 81, 11466, 33, 8274, 35, 30, 3188, 3389, 588, 12433, 2330, 308, 1347, 5016, 27, 623, 517, 284, 428, 83, 31, 15188, 31, 76, 34, 31, 43, 81, 11466, 33, 8274, 37, 30, 111, 423, 588, 1312, 462, 12433, 17532, 13505, 1159, 225, 37, 29, 16656, 284, 308, 2805, 13644, 47170, 21, 1674, 80, 20, 110, 785, 109, 34, 30, 33741, 490, 2850, 588, 1018, 556, 588, 3634, 623, 3377, 284, 523, 284, 6262, 83, 31, 15188, 31, 76, 34, 31, 43, 81, 11466, 8274, 35, 30, 111, 423, 588, 4870, 284, 766, 10695, 2805, 1317, 110, 11797, 110, 12848, 110, 8377, 110, 1260, 110, 276, 2125, 110, 916, 110, 754, 110, 2760, 110, 2593, 27, 351, 588 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 5, 4, 5, 3, 5, 5, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 3, 2, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 2, 2, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 4, 4, 4, 6, 3, 3, 6, 6, 5, 5, 6, 0, 1, 1, 1, 1, 3, 4, 5, 3, 3, 3, 3, 5, 1, 2, 2, 2, 2, 2, 4, 6, 4, 4, 4, 4, 6, 0, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 21, 2, 21, 4, 4, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 0, 0, 2, 2, 0, 0, 0, 0, 5, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 2, 0, 6, 6, 6, 6, 0, 1, 2, 0, 0, 0, 0, 0, 6, 3, 3, 3, 3, 3, 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 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 465, 2322, 203, 1070, 19493, 1188, 516, 27530, 203, 1070, 12121, 930, 16432, 32, 4275, 1188, 35603, 924, 203, 1070, 12121, 930, 16432, 32, 2304, 1114, 878, 1188, 372, 81, 3651, 30, 372, 81, 3723, 30, 372, 81, 878, 203, 505, 464, 505, 280, 2107, 311, 2173, 459, 983, 370, 330, 27428, 81, 4770, 785, 203, 589, 707, 2173, 459, 983, 26, 983, 30, 1976, 47, 1815, 711, 284, 5881, 284, 3759, 312, 1519, 688, 438, 3741, 432, 27625, 101, 308, 325, 1976, 47, 1815, 471, 4706, 4886, 30, 6491, 1519, 8321, 5232, 3528, 461, 15455, 17327, 27, 284, 499, 626, 1519, 44, 399, 3432, 556, 1344, 802, 12681, 312, 1519, 372, 526, 21982, 1191, 284, 499, 626, 1976, 44, 399, 1905, 372, 14190, 432, 27625, 101, 1395, 526, 11425, 556, 646, 284, 499, 16708, 23174, 11867, 924, 44, 1670, 322, 21982, 1191, 1503, 432, 322, 1519, 291, 4304, 2979, 31, 3310, 42, 3432, 17211, 32, 284, 499, 18398, 44, 399, 1344, 802, 308, 9941, 544, 3619, 107, 26362, 36, 30, 596, 544, 4262, 37, 547, 284, 499, 3255, 44, 2244, 7976, 1519, 623, 27625, 101, 30, 4706, 4886, 30, 461, 18903, 286, 291, 20923, 32, 225, 5830, 688, 458, 1957, 646, 1505, 4946, 312, 1519, 5375, 32, 284, 2280, 403, 291, 8493, 8439, 33, 1458, 869, 33, 2200, 25, 16649, 3056, 869, 33, 419, 1052, 33, 2200, 25, 284, 5881, 284, 415, 1976, 44, 291, 1158, 81, 983, 280, 2322, 32, 983, 32, 19573, 49149, 26, 500, 32, 983, 32, 35490, 26, 500, 32, 983, 32, 8931, 496, 26, 500, 32, 983, 32, 8931, 6862, 26, 452, 81, 3651, 26, 983, 30, 3878, 1057, 8841, 32062, 81, 271, 81, 5848, 2847, 2610, 284, 813, 44, 291, 1158, 81, 983, 280, 2322, 32, 983, 32, 19573, 49149, 26, 500, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 8931, 496, 26, 500, 32, 983, 32, 8931, 6862, 26, 452, 81, 3651, 26, 983, 30, 3878, 1057, 8841, 32062, 81, 271, 81, 5848, 2847, 2610, 284, 442, 372, 81, 878, 26, 3220, 81, 983, 30, 3878, 1057, 8841, 32062, 81, 271, 81, 5848, 683, 203, 589, 345, 19831, 19845, 81, 4770, 26, 983, 30, 2926, 47, 2521, 711, 284, 5881, 11691, 3352, 372, 1487, 29141, 328, 17476, 91, 2416, 33, 3426, 20304, 32, 284, 499, 626, 1519, 44, 399, 3432, 556, 1344, 802, 12681, 312, 3362, 372, 526, 3272, 284, 499, 4124, 626, 2926, 44, 1670, 2702, 30, 322, 2926, 372, 739, 322, 3362, 372, 284, 499, 16708, 35603, 924, 44, 1670, 322, 3362, 4881, 526, 3272, 461, 1957, 646, 3425, 5375, 32, 284, 499, 16708, 23174, 11867, 924, 44, 415, 322, 1519, 438, 646, 409, 42382, 328, 322, 6459, 31, 42, 7328, 32, 284, 5881, 284, 540, 983, 280, 707, 2173, 459, 983, 26, 983, 27, 284, 323, 81, 100, 983, 280, 372, 81, 3651, 26, 100, 983, 27, 284, 415, 646, 2322, 32, 983, 32, 4658, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 4, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 3, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 9, 8, 12, 11, 12, 10, 11, 10, 14, 13, 14, 12, 13, 13, 12, 16, 15, 16, 14, 15, 15, 14, 16, 16, 16, 16, 17, 16, 16, 17, 19, 19, 19, 19, 19, 19, 19, 12, 3, 3, 4, 4, 4, 8, 8, 7, 7, 10, 11, 9, 10, 10, 9, 13, 12, 13, 11, 12, 11, 15, 14, 15, 13, 14, 14, 13, 17, 16, 17, 15, 16, 16, 15, 17, 17, 17, 17, 18, 17, 17, 18, 20, 20, 20, 20, 20, 20, 20, 13, 2, 2, 3, 5, 5, 5, 6, 6, 6, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 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, 5, 5, 5, 5, 5, 5, 2, 2, 5, 4, 4, 6, 6, 6, 6, 7, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 7, 7, 6, 2, 2, 3, 4, 7, 8, 6, 7, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 5, 5, 0, 0, 1, 2, 1, 4, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 7, 7, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 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, 4, 4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 2, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 0, 8, 8, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 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, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 3, 1, 0, 2, 0, 2, 1 ]
[ 505, 2116, 505, 280, 313, 31604, 28421, 10489, 30, 461, 506, 29626, 9296, 45991, 295, 20, 203, 505, 31104, 81, 17583, 505, 280, 313, 60, 1229, 34963, 30, 461, 559, 267, 278, 1224, 1291, 16088, 20, 203, 505, 36157, 505, 280, 313, 28225, 673, 559, 365, 5114, 30, 624, 36397, 20337, 568, 86, 30, 7687, 1882, 46386, 704, 30, 676, 6627, 632, 17689, 30, 461, 4239, 14852, 4665, 864, 1902, 20, 203, 505, 770, 505, 280, 313, 34, 39, 10709, 225, 36, 34, 35, 41, 20, 203, 505, 1935, 505, 280, 313, 5377, 302, 421, 93, 50, 27056, 32, 329, 32, 3418, 20, 203, 505, 1648, 505, 280, 313, 34, 32, 35, 20, 203, 465, 16672, 203, 465, 2322, 203, 465, 5237, 203, 1070, 3619, 3245, 32, 4048, 6589, 1188, 12305, 9417, 203, 465, 3760, 3371, 32, 2501, 81, 928, 203, 465, 3760, 3371, 32, 4775, 203, 465, 3760, 3371, 32, 1040, 203, 465, 3760, 3371, 32, 1040, 32, 7490, 81, 1040, 203, 465, 3760, 3371, 32, 1040, 32, 978, 5265, 1237, 81, 4295, 203, 4073, 280, 1665, 203, 589, 3760, 3371, 81, 626, 2208, 2262, 284, 298, 280, 16672, 32, 26633, 26, 291, 3048, 347, 2123, 3347, 1192, 44, 16736, 40201, 488, 16114, 1900, 15909, 24226, 544, 18981, 6716, 392, 291, 14971, 81, 823, 47, 626, 2208, 32, 3484, 14490, 9030, 8736, 284, 829, 284, 3760, 3371, 32, 2501, 81, 928, 1114, 626, 2208, 81, 1262, 81, 2184, 26, 98, 27, 284, 3760, 3371, 32, 2501, 81, 928, 1114, 626, 2208, 81, 3245, 81, 19448, 81, 2184, 26, 98, 27, 284, 3760, 3371, 32, 2501, 81, 928, 1114, 626, 2208, 81, 666, 13493, 692, 81, 2184, 26, 98, 27, 284, 3760, 3371, 32, 2501, 81, 928, 1114, 626, 2208, 81, 95, 655, 83, 81, 2184, 26, 98, 27, 284, 3760, 3371, 32, 2501, 81, 928, 1114, 626, 2208, 81, 94, 23353, 81, 2184, 26, 98, 27, 284, 3760, 3371, 32, 2501, 81, 928, 1114, 626, 2208, 81, 5346, 81, 2184, 26, 98, 27, 284, 3760, 3371, 32, 2501, 81, 928, 1114, 626, 2208, 81, 8087, 81, 2184, 26, 98, 27, 284, 3760, 3371, 32, 2501, 81, 928, 1114, 626, 2208, 81, 1601, 108, 81, 2184, 26, 98, 27, 284, 298, 32, 669, 81, 2669, 463, 1601, 108, 370, 3049, 347, 1318, 1519, 372, 322, 1509, 9811, 108, 803, 657, 284, 442, 298, 203, 589, 2575, 2262, 284, 2181, 280, 3760, 3371, 81, 626, 2208, 922, 2208, 81, 1132, 346, 284, 2181, 32, 1007, 81, 1515, 280, 3760, 3371, 32, 2501, 81, 928, 32, 371, 81, 1007, 81, 1515, 26, 291, 2181, 32, 1945, 81, 1515, 30, 1389, 81, 1515, 47, 1132, 32, 1007, 81, 1515, 30, 281, 2219, 38, 81, 3245, 314, 47, 1132, 32, 1152, 98, 38, 81, 3245, 314, 30, 281, 2219, 38, 91, 36, 81, 2593, 47, 1132, 32, 1152, 98, 38, 91, 36, 81, 2593, 284, 829, 284, 1245, 81, 761, 280, 2322, 32, 983, 32, 2524, 26, 1132, 32, 1007, 81, 1515, 30, 330, 4485, 3371, 32, 751, 683, 284, 4588, 81, 751, 81, 761, 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 ]
[ 3, 3, 3, 2, 2, 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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 0, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 7, 9, 9, 8, 9, 9, 9, 9, 6, 6, 2, 2, 7, 6, 7, 7, 7, 5, 6, 6, 6, 6, 6, 6, 5, 6, 5, 2, 2, 7, 6, 7, 7, 7, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 2, 2, 7, 6, 7, 7, 7, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 2, 2, 7, 6, 7, 7, 7, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 2, 2, 7, 6, 7, 7, 7, 5, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 2, 2, 7, 6, 7, 7, 7, 5, 6, 6, 6, 6, 6, 6, 5, 6, 5, 2, 2, 7, 6, 7, 7, 7, 5, 6, 6, 6, 6, 6, 6, 5, 6, 5, 2, 2, 7, 6, 7, 7, 7, 5, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 0, 1, 1, 2, 1, 1, 4, 4, 8, 8, 8, 8, 8, 7, 7, 7, 6, 2, 2, 5, 6, 6, 6, 4, 4, 8, 7, 8, 8, 8, 6, 7, 7, 7, 7, 7, 6, 6, 6, 7, 8, 8, 8, 6, 6, 8, 8, 7, 9, 8, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 9, 9, 6, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 4 ]
[ 0, 0, 0, 0, 0, 1, 1, 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, 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, 2, 0, 0, 0, 0, 0, 0, 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, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 1, 2, 2, 9, 9, 0, 0, 10, 10, 0, 1, 2, 2, 2, 0, 11, 11, 0, 1, 2, 0, 12, 12, 0, 1, 2, 0, 13, 13, 0, 1, 2, 1, 4, 4, 4, 0, 14, 14, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 16, 16, 1, 1, 1, 1, 2, 16, 16, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 4, 4, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 10, 0, 17, 17, 2, 17, 17, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 3, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 5, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 7, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0 ]
[ 465, 5741, 203, 81, 751, 47, 7490, 32, 10579, 4064, 426, 8223, 203, 465, 2322, 30, 2322, 32, 983, 203, 1070, 48885, 38, 1188, 10701, 2852, 30, 34031, 203, 1070, 48885, 38, 32, 30609, 1188, 10701, 203, 1070, 638, 761, 1744, 81, 1707, 1188, 27178, 81, 974, 2136, 203, 823, 2032, 2136, 26, 37571, 32, 67, 2136, 711, 284, 803, 3650, 280, 10701, 2852, 32, 978, 12561, 10760, 26, 30609, 32, 16606, 27, 284, 827, 3650, 280, 10701, 2852, 32, 978, 12561, 10760, 26, 2420, 27, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 711, 291, 2599, 26, 974, 2136, 30, 630, 14585, 1664, 3207, 2544, 27, 291, 630, 32, 1707, 280, 27178, 81, 974, 2136, 346, 291, 630, 32, 1707, 32, 5522, 10816, 26, 784, 27, 291, 630, 32, 5583, 280, 34031, 32, 67, 28084, 26, 784, 30, 313, 1908, 10860, 432, 358, 42634, 4414, 9474, 2322, 32, 33115, 1026, 9474, 313, 3575, 33, 69, 42634, 32, 3256, 32, 1299, 17969, 6378, 293, 45, 1934, 3256, 14451, 291, 630, 32, 5583, 32, 761, 4544, 32, 3517, 26, 784, 32, 470, 974, 27, 291, 630, 32, 1707, 32, 761, 1705, 32, 25223, 32, 3517, 26, 784, 1114, 761, 1791, 27, 291, 630, 32, 1707, 32, 681, 1705, 32, 33107, 3650, 32, 3517, 26, 784, 1114, 681, 3650, 27, 291, 630, 32, 1707, 32, 761, 8099, 32, 19663, 32, 3517, 26, 784, 1114, 1613, 81, 12724, 27, 291, 399, 280, 34031, 32, 67, 1711, 24927, 1922, 803, 392, 630, 32, 1707, 32, 761, 8099, 27, 291, 630, 32, 1707, 32, 761, 8099, 32, 38853, 26, 51, 27, 291, 399, 32, 25223, 32, 3517, 26, 784, 1114, 1613, 81, 890, 27, 291, 399, 280, 34031, 32, 67, 1711, 440, 69, 24, 31666, 803, 392, 630, 32, 1707, 32, 761, 8099, 27, 291, 399, 32, 25223, 32, 3517, 26, 784, 1114, 1613, 81, 12724, 27, 291, 630, 32, 1707, 32, 761, 8099, 32, 38853, 26, 51, 27, 284, 665, 617, 1613, 81, 12724, 26, 784, 711, 291, 630, 32, 5583, 32, 470, 974, 2101, 26, 784, 32, 5583, 32, 18119, 974, 27, 291, 630, 32, 5583, 32, 470, 7071, 2101, 26, 784, 32, 5583, 32, 7071, 2961, 27, 291, 630, 32, 5583, 32, 2493, 36455, 284, 665, 617, 1613, 81, 890, 26, 784, 711, 291, 630, 32, 5583, 32, 470, 974, 2101, 26, 784, 32, 5583, 32, 4277, 974, 27, 291, 630, 32, 5583, 32, 470, 7071, 2101, 26, 784, 32, 5583, 32, 7071, 5126, 27, 291, 559, 280, 630, 32, 5583, 32, 2493, 36455, 291, 415, 646, 559, 44, 324, 442, 291, 506, 280, 596, 26, 784, 32, 5583, 32, 4347, 3839, 8532, 34, 1130, 291, 617, 751, 32, 1338, 440, 1922, 904, 101, 392, 506, 27, 291, 623, 2156, 26, 56, 30, 330, 105, 683, 619, 506, 44, 324, 3097, 3701, 665, 4233, 26, 784, 711, 291, 630, 32, 470, 974, 25416, 291, 630, 32, 26686, 26, 1815, 27, 284, 665, 617, 761, 1791, 26, 784, 711, 291, 630, 32, 761, 3650, 32, 7911, 26, 784, 32, 1707, 32, 761, 1705, 32, 1700 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 3, 3, 2, 5, 4, 5, 4, 5, 5, 0, 1, 1, 1, 1, 2, 3, 0, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 7, 6, 7, 7, 7, 6, 8, 7, 8, 6, 2, 2, 5, 4, 4, 7, 6, 7, 7, 7, 6, 7, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 4, 4, 8, 9, 7, 8, 8, 7, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 10, 11, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 9, 10, 8, 9, 9, 7, 8, 7, 9, 8, 9, 9, 7, 4, 4, 10, 11, 9, 10, 10, 8, 9, 7, 8, 7, 9, 8, 9, 9, 7, 4, 4, 10, 11, 9, 10, 10, 8, 9, 9, 7, 8, 7, 9, 8, 9, 9, 7, 4, 4, 10, 11, 9, 10, 10, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 6, 6, 8, 9, 9, 8, 10, 10, 10, 8, 10, 11, 9, 10, 10, 8, 4, 4, 9, 10, 8, 9, 9, 7, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 6, 6, 8, 9, 9, 8, 10, 10, 10, 10, 10, 8, 10, 11, 9, 10, 10, 8, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 9, 10, 8, 9, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 10, 9, 10, 8, 9, 9, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 10, 9, 10, 8, 9, 9, 7, 4, 4, 8, 9, 7, 8, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 10, 9, 10, 8, 9, 9, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 10, 9, 10, 8, 9, 9, 7, 4, 4, 6, 6, 9, 10, 8, 9, 9, 4, 4, 5, 6, 5, 5, 5, 4, 4, 6, 6, 8, 13, 12, 13, 11, 12, 12, 11, 10, 9, 4, 4, 8, 7, 8, 7, 9, 9, 9, 9, 7, 7, 4, 4, 5, 10, 11, 10, 10, 12, 12, 8, 8, 5, 5, 5, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 7, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 9, 7, 8, 7, 12, 11, 12, 10, 11, 11, 9, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 3, 2, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 1, 2, 0, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 3, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 3, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 4, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 4, 4, 3, 1, 3, 3, 3, 4, 4, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 6, 1, 1, 1, 1, 1, 2, 0, 0, 6, 6, 6, 4, 4, 5, 2, 1, 2, 5, 5, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2 ]
[ 1070, 7138, 1188, 7138, 203, 1070, 25679, 1188, 25679, 203, 1070, 3619, 12094, 32, 2304, 1188, 1992, 81, 2593, 81, 452, 81, 2665, 203, 823, 16035, 13327, 959, 1761, 26, 1473, 711, 284, 7402, 81, 42061, 280, 1665, 284, 665, 1156, 1664, 3207, 784, 30, 1541, 711, 291, 415, 630, 32, 5732, 81, 42061, 438, 1665, 44, 324, 3636, 22210, 440, 2931, 6015, 1395, 5597, 3623, 7402, 81, 42061, 657, 291, 630, 32, 10407, 280, 1992, 81, 2593, 81, 452, 81, 2665, 26, 1251, 30, 630, 32, 5732, 81, 42061, 27, 284, 665, 1156, 32110, 3207, 784, 30, 1623, 711, 291, 415, 1623, 328, 630, 32, 10407, 44, 324, 442, 630, 32, 10407, 77, 1094, 79, 291, 3636, 29316, 26, 1094, 27, 284, 665, 619, 81, 643, 26, 784, 711, 291, 442, 5053, 50, 34917, 1643, 26, 678, 711, 630, 32, 10407, 77, 678, 79, 436, 1202, 328, 630, 32, 10407, 32, 3494, 9741, 203, 823, 390, 12049, 26, 1419, 13327, 959, 1761, 711, 284, 7402, 81, 42061, 280, 308, 324, 2726, 48031, 38, 370, 330, 7101, 81, 314, 1425, 324, 2726, 48031, 35, 37, 370, 330, 426, 1425, 324, 2726, 48031, 39, 370, 330, 13627, 1425, 324, 2726, 48031, 35, 43, 370, 330, 13886, 370, 330, 1808, 370, 225, 34, 32, 34, 471, 324, 2726, 48031, 35, 36, 370, 330, 7035, 1425, 324, 2726, 48031, 35, 39, 370, 330, 19168, 1425, 324, 2726, 48031, 37, 35, 370, 330, 19407, 81, 681, 1425, 324, 2726, 48031, 35, 42, 370, 330, 8438, 1425, 324, 2726, 48031, 36, 35, 370, 330, 23545, 370, 330, 410, 370, 225, 34, 471, 324, 2726, 48031, 36, 38, 370, 330, 1366, 81, 1347, 1425, 324, 2726, 48031, 36, 41, 370, 330, 11333, 81, 1347, 1425, 324, 2726, 48031, 37, 41, 370, 330, 9410, 370, 330, 1808, 370, 225, 34, 32, 34, 471, 324, 2726, 48031, 37, 34, 370, 330, 7092, 81, 2632, 370, 330, 770, 1425, 324, 2726, 48031, 37, 37, 370, 330, 1517, 1425, 324, 2726, 48031, 37, 40, 370, 330, 1517, 81, 2632, 370, 330, 770, 1425, 324, 2726, 48031, 37, 43, 370, 330, 1700, 81, 3740, 1425, 324, 2726, 48031, 38, 39, 370, 330, 1582, 81, 1347, 683, 291, 829, 284, 665, 1156, 1664, 3207, 784, 30, 1541, 711, 291, 16035, 13327, 959, 1761, 3667, 1664, 3207, 784, 30, 1541, 27, 291, 415, 630, 32, 10407, 710, 8438, 5695, 15990, 440, 34, 35, 10280, 324, 8793, 280, 7138, 32, 44832, 26, 784, 32, 10407, 710, 8438, 785, 2867, 35, 34, 614, 6611, 86, 9708, 95, 9708, 75, 683, 324, 630, 32, 10407, 710, 8438, 785, 280, 8793, 32, 20834, 4912, 84, 9299, 75, 657, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 313, 351, 2149, 225, 2149, 225, 7325, 39, 86, 111, 225, 16531, 1643, 26, 784, 32, 7092, 81, 2632, 32, 20834, 4912, 75, 904, 84, 904, 86, 2113, 630, 32, 1366, 81, 1347, 30, 15607, 630, 32, 23545, 30, 630, 32, 1700, 81, 3740, 27, 284, 477, 2433, 284, 665, 16105, 26, 784, 711, 291, 442, 225, 35, 34, 415, 630, 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, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 6, 6, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 9, 10, 10, 10, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 5, 5, 5, 7, 9, 10, 8, 9, 8, 4, 4, 5, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 11, 11, 10, 9, 10, 9, 7, 9, 10, 8, 9, 8, 6, 7, 7, 7, 10, 11, 9, 10, 9, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 6, 7, 7, 7, 6, 5, 5, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 6, 7, 6, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 6, 7, 7, 7, 6, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 8, 8, 7, 8, 8, 8, 7, 7, 7, 4, 4, 5, 9, 10, 8, 10, 10, 8, 7, 9, 9, 9, 5, 5, 8, 8, 10, 11, 10, 14, 13, 14, 12, 14, 14, 11, 13, 13, 11, 10, 12, 12, 12, 12, 12, 12, 6, 6, 10, 11, 9, 11, 11, 8, 8, 10, 11, 10, 12, 12, 12, 12, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 11, 10, 11, 11, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 7, 8, 9, 9, 9, 7, 7, 7, 8, 9, 7, 7, 8, 9, 9, 9, 7, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 8, 7, 7, 9 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 4, 4, 1, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 4, 4, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 1, 2, 7, 1, 2, 7, 1, 2, 7, 7, 7, 7, 7, 2, 2, 1, 1, 1, 2, 9, 1, 2, 2, 2, 1, 1, 1, 2, 11, 1, 2, 2, 2, 1, 1, 1, 2, 13, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 15, 1, 2, 2, 2, 1, 1, 1, 2, 17, 1, 2, 17, 1, 2, 17, 7, 17, 2, 2, 1, 1, 1, 2, 19, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 21, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 23, 1, 2, 23, 1, 2, 23, 7, 7, 7, 23, 2, 2, 1, 1, 1, 2, 25, 1, 1, 1, 2, 25, 1, 2, 2, 2, 1, 1, 1, 2, 27, 1, 2, 2, 2, 1, 1, 1, 2, 29, 1, 1, 1, 2, 29, 1, 2, 2, 2, 1, 1, 1, 2, 31, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 33, 1, 1, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 1, 1, 5, 2, 1, 1, 7, 2, 2, 2, 1, 4, 4, 1, 3, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0 ]
[ 1070, 13625, 1188, 31466, 203, 1070, 16072, 32, 4846, 36849, 1114, 2055, 32, 4538, 81, 4073, 1188, 9195, 81, 4073, 203, 465, 1963, 2790, 619, 16198, 203, 823, 23998, 2044, 7167, 26, 1536, 2665, 711, 284, 665, 1156, 9785, 3207, 784, 30, 1202, 711, 291, 630, 77, 678, 79, 280, 630, 32, 1536, 81, 5792, 26, 678, 27, 291, 442, 630, 77, 678, 79, 203, 589, 2887, 81, 2195, 97, 81, 731, 26, 14806, 30, 3124, 30, 319, 1132, 30, 1115, 5321, 711, 284, 415, 9195, 81, 4073, 32, 1455, 81, 1621, 44, 291, 442, 284, 1048, 81, 687, 280, 1665, 284, 1048, 81, 1338, 280, 1665, 284, 415, 19326, 26, 14806, 30, 313, 1986, 10280, 291, 1048, 81, 1338, 280, 13489, 32, 1986, 32, 371, 440, 924, 392, 1665, 27, 284, 415, 1048, 81, 1338, 438, 646, 1665, 44, 291, 1048, 81, 687, 280, 1048, 81, 1338, 32, 371, 440, 1227, 392, 1665, 27, 284, 10140, 81, 1436, 81, 1132, 280, 428, 291, 19436, 78, 96, 20, 291, 313, 924, 1340, 44, 12263, 291, 3124, 32, 1643, 2740, 1132, 30, 1115, 5321, 471, 291, 16198, 32, 8570, 26, 731, 81, 687, 27, 284, 1481, 284, 10677, 81, 26923, 81, 7787, 280, 428, 291, 313, 24742, 1763, 984, 392, 313, 24742, 1763, 392, 313, 1104, 24742, 20, 284, 1481, 284, 415, 1048, 81, 687, 328, 10677, 81, 26923, 81, 7787, 44, 291, 2404, 81, 2501, 280, 308, 324, 313, 3955, 376, 101, 622, 31, 2848, 31, 1956, 313, 324, 7915, 3542, 31, 2171, 2099, 96, 44, 3955, 44, 10117, 403, 20, 474, 16198, 32, 8491, 14145, 440, 7789, 81, 19846, 81, 779, 657, 324, 474, 10685, 95, 1919, 5681, 474, 16198, 32, 8491, 14145, 440, 10645, 81, 19452, 657, 474, 313, 769, 1956, 31, 687, 313, 474, 324, 16198, 32, 8491, 14145, 440, 36412, 81, 31100, 81, 9036, 81, 3521, 2131, 291, 9313, 81, 678, 81, 869, 280, 308, 324, 313, 1358, 9045, 81, 17252, 81, 12455, 81, 3307, 280, 313, 474, 16198, 32, 8491, 14145, 440, 25302, 81, 1023, 657, 474, 324, 313, 588, 2431, 821, 34627, 32, 7792, 33877, 657, 291, 3523, 81, 1956, 81, 869, 280, 308, 324, 313, 1358, 9045, 81, 9564, 81, 9052, 280, 313, 474, 16198, 32, 8491, 14145, 440, 25302, 81, 1023, 657, 474, 324, 313, 588, 2431, 821, 34627, 32, 3135, 1763, 657, 291, 2857, 81, 678, 81, 314, 81, 869, 280, 308, 324, 313, 1358, 9045, 81, 12455, 81, 3307, 81, 779, 280, 313, 474, 16198, 32, 8491, 14145, 440, 25302, 81, 1023, 657, 474, 324, 313, 588, 2431, 821, 34627, 32, 2791, 29137, 657, 291, 10176, 81, 2848, 81, 1423, 81, 965, 280, 2884, 641, 555, 1153, 32, 933, 32, 508, 33, 1449, 449, 1745, 362, 5681, 6619, 313, 83, 34, 36, 42, 38, 87, 35, 86, 43, 41, 84, 36, 39, 86, 38, 35, 41, 4184, 43, 3633, 34, 36, 87, 39, 88, 38, 39, 34, 2161, 657, 291, 9195, 81, 4073, 32, 10529, 81, 731, 2740, 9947, 81, 1436, 81, 1132, 27, 291, 9195, 81, 4073, 32, 10529, 26, 6862 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 2, 2, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 5, 6, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 5, 5, 4, 5, 5, 5, 3, 3, 3, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 3, 5, 6, 5, 5, 7, 7, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 8, 8, 2, 2, 3, 5, 5, 4, 4, 4, 3, 3, 3, 7, 7, 6, 6, 9, 9, 8, 9, 8, 10, 10, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 9, 9, 8, 6, 6, 8, 8, 8, 8, 5, 5, 7, 8, 7, 9, 7, 7, 9, 7, 5, 5, 7, 8, 7, 8, 8, 8, 7, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 5, 5, 2, 2, 3, 5, 5, 4, 4, 5, 5, 5, 5, 3, 3, 3, 7, 7, 6, 6, 7, 7, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 12, 14, 15, 15, 14, 16, 16, 16, 16, 16, 16, 11, 11, 11, 13, 13, 13, 10, 10, 12, 13, 13, 12, 14, 14, 14, 14, 9, 9, 11, 11, 11, 11, 11, 8, 8, 8, 10, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 7, 7, 7, 7, 6, 6, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 12, 12, 11, 13, 13, 13, 13, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 6, 6, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 12, 12, 11, 13, 13, 13, 13, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 12, 12, 11, 13, 13, 13, 13, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 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, 10, 10, 10, 10, 10, 10, 4, 4, 8, 8, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 7, 4, 4, 8, 8, 7, 8, 7, 9 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 4, 1, 6, 6, 6, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 3, 3, 1, 1, 2, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 2, 1, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 3, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 4, 4, 7, 0, 0, 1, 1, 2, 2, 2, 2, 7, 7, 7, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 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, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 0 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 203, 505, 2116, 505, 280, 313, 57, 1582, 16674, 271, 44584, 20, 203, 505, 11794, 505, 280, 313, 10581, 225, 36, 34, 35, 39, 30, 886, 447, 1102, 18137, 501, 5412, 20, 203, 505, 36157, 505, 280, 3037, 57, 1582, 16674, 271, 44584, 392, 313, 63, 11682, 29828, 15340, 392, 313, 28225, 673, 22554, 54, 11008, 86, 1446, 203, 505, 2077, 505, 280, 313, 21181, 20, 203, 505, 1648, 505, 280, 313, 35, 32, 35, 32, 34, 20, 203, 505, 42086, 505, 280, 313, 57, 1582, 16674, 271, 44584, 20, 203, 505, 1935, 505, 280, 313, 5026, 3625, 271, 44584, 50, 7253, 32, 508, 20, 203, 505, 1517, 505, 280, 313, 20235, 20, 203, 1070, 2361, 1188, 10128, 101, 203, 1070, 2322, 32, 983, 1188, 1399, 17611, 30, 24797, 30, 438, 1515, 203, 1070, 2322, 1188, 345, 19831, 19845, 203, 1070, 281, 817, 304, 32, 1262, 32, 3242, 1188, 447, 4486, 315, 1212, 30, 9366, 924, 203, 1070, 6436, 1188, 1417, 30, 619, 955, 30, 821, 27977, 81, 35, 86, 203, 1070, 10789, 418, 1188, 5548, 30, 3185, 81, 1274, 203, 1070, 10789, 418, 32, 1274, 1188, 354, 1657, 81, 668, 81, 1028, 81, 466, 81, 14548, 203, 1070, 10789, 418, 32, 1040, 1188, 10789, 418, 81, 1676, 30, 18560, 81, 58, 39, 5177, 203, 1070, 16539, 1188, 447, 1676, 30, 21925, 1304, 203, 465, 44524, 203, 589, 1930, 81, 3287, 81, 23378, 26, 21250, 81, 35449, 711, 284, 665, 4522, 81, 3287, 26, 3287, 81, 853, 30, 3287, 81, 314, 30, 3287, 81, 4519, 711, 291, 19315, 81, 9410, 280, 19315, 81, 35449, 77, 3287, 81, 314, 79, 291, 537, 81, 695, 280, 3964, 81, 853, 319, 19315, 81, 9410, 291, 442, 537, 81, 695, 284, 442, 4522, 81, 3287, 203, 589, 5247, 81, 289, 2142, 272, 842, 101, 26, 289, 2142, 272, 842, 81, 1274, 30, 21250, 81, 35449, 711, 284, 4522, 81, 3287, 81, 88, 280, 1930, 81, 3287, 81, 23378, 26, 21250, 81, 35449, 27, 284, 537, 81, 289, 2142, 272, 842, 81, 1274, 280, 597, 2142, 272, 842, 81, 1274, 32, 3792, 26, 3792, 81, 3287, 81, 88, 27, 284, 442, 537, 81, 289, 2142, 272, 842, 81, 1274, 203, 589, 4483, 81, 1001, 10261, 81, 452, 81, 6506, 418, 26, 1001, 10261, 81, 266, 30, 9668, 81, 452, 81, 944, 47, 2521, 30, 16547, 47, 1815, 30, 954, 81, 4254, 1057, 4519, 81, 7831, 284, 415, 827, 26, 1001, 10261, 81, 266, 27, 610, 466, 556, 827, 26, 1001, 10261, 81, 266, 27, 610, 15390, 44, 291, 23818, 280, 44524, 32, 652, 2338, 26, 1001, 10261, 81, 266, 27, 284, 813, 44, 291, 23818, 47, 1001, 10261, 81, 266, 284, 3338, 81, 3631, 47, 13410, 32, 25637, 922, 7201, 922, 2998, 9442, 102, 683, 284, 932, 81, 2859, 81, 37181, 19704, 284, 436, 5417, 30, 748, 81, 314, 328, 10703, 26, 2111, 81, 3631, 711, 291, 415, 932, 81, 314, 32, 15990, 26, 954, 81, 4254, 711, 324, 932, 81, 2859, 81, 37181, 77, 748, 81, 314, 77, 1657, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 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, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 7, 6, 6, 8, 8, 7, 7, 8, 8, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 6, 7, 6, 7, 7, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 3, 4, 2, 4, 3, 4, 2, 4, 4, 4, 3, 5, 5, 5, 1, 1, 3, 7, 8, 8, 8, 8, 7, 5, 6, 4, 4, 7, 8, 8, 8, 8, 7, 5, 5, 3, 3, 3, 6, 6, 8, 9, 9, 8, 9, 9, 9, 9, 8, 3, 3, 4, 4, 4, 7, 8, 8, 8, 8, 2, 2, 5, 5, 4, 11, 10, 11, 10, 9, 8, 7, 6, 9, 8, 2, 2, 5, 5, 5, 5, 4, 2, 2, 3, 4, 5, 5, 5, 3, 3, 5, 6, 6, 6, 5, 3, 3, 5, 8, 8, 7, 8, 7, 8, 8, 8, 7, 5, 5, 10, 10, 10, 10, 9, 11, 11, 11, 10, 13, 13 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 9, 9, 9, 9, 0, 0, 10, 10, 1, 2, 10, 10, 0, 10, 10, 10, 10, 0, 0, 11, 11, 11, 11, 0, 0, 0, 12, 12, 0, 0, 1, 2, 1, 4, 12, 12, 0, 0, 0, 12, 12, 0, 0, 13, 13, 13, 13, 13, 13, 0, 13, 13, 0, 0, 0, 0, 0, 14, 14, 0, 14, 14, 14, 14, 0, 0, 0, 15, 15, 0, 1, 2, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 0, 1, 2, 16, 16, 0, 0, 0, 16, 16, 0, 0, 0, 0, 0, 17, 17, 17, 17, 0, 17, 17, 0, 0, 18, 18, 0, 19, 19, 1, 1, 1, 1, 2, 1, 1, 1, 2, 19, 19, 0, 1, 1, 2, 1, 1, 1, 2, 3, 3, 3, 2, 5, 5, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 2, 1, 1, 4, 4, 1, 1, 1, 0, 20, 20, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 2, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 0, 21, 21, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 3, 2, 2, 0, 5, 2, 2, 0, 0, 0, 7, 1, 1, 2, 21, 21, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 3, 1, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1 ]
[ 1070, 9270, 32, 48906, 32, 407, 1188, 3082, 203, 465, 5741, 30, 2322, 30, 5237, 203, 589, 7841, 81, 464, 2262, 284, 7841, 81, 2958, 346, 284, 7841, 81, 725, 81, 3483, 346, 284, 7841, 81, 11025, 346, 284, 4705, 81, 7490, 346, 203, 589, 7841, 81, 2958, 2262, 284, 436, 2297, 328, 2726, 525, 1356, 370, 330, 39362, 370, 330, 39362, 36, 370, 330, 1835, 2613, 370, 711, 291, 415, 2297, 328, 5237, 32, 3477, 44, 324, 3555, 5237, 32, 3477, 77, 1647, 79, 284, 645, 1123, 3483, 2675, 265, 1188, 1159, 81, 725, 1786, 284, 415, 1159, 81, 725, 1786, 44, 291, 645, 1123, 3483, 2675, 265, 1188, 1360, 291, 5237, 32, 3477, 710, 421, 785, 280, 1360, 284, 1188, 6234, 284, 443, 1048, 26, 984, 711, 291, 3097, 284, 443, 485, 3044, 731, 26, 984, 711, 291, 3097, 284, 6234, 32, 731, 280, 1048, 284, 6234, 32, 89, 3044, 731, 280, 485, 3044, 731, 284, 415, 1159, 81, 725, 1786, 44, 291, 665, 33599, 2176, 711, 324, 3636, 22210, 463, 1290, 10073, 1957, 646, 2193, 21314, 19408, 22735, 291, 2322, 32, 23754, 280, 33599, 203, 589, 7841, 81, 725, 81, 3483, 2262, 284, 665, 1156, 1657, 3207, 784, 711, 291, 442, 630, 32, 998, 26, 37, 34, 35, 27, 284, 3082, 32, 1625, 3667, 1657, 505, 280, 1156, 1657, 505, 284, 443, 3678, 1653, 26, 1473, 711, 291, 665, 1156, 371, 3207, 784, 30, 2467, 30, 15649, 711, 324, 1596, 44, 400, 442, 2467, 1114, 1625, 505, 1160, 81, 823, 324, 2940, 44, 400, 442, 2467, 1114, 1160, 81, 823, 284, 3082, 32, 1625, 32, 1160, 280, 3678, 1653, 346, 284, 665, 617, 371, 81, 3174, 81, 695, 26, 784, 711, 291, 442, 15390, 26, 784, 32, 678, 1157, 284, 3082, 32, 1243, 1114, 371, 81, 3174, 81, 695, 280, 617, 371, 81, 3174, 81, 695, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 415, 646, 6937, 26, 2455, 30, 630, 3667, 823, 505, 711, 324, 442, 3177, 291, 442, 630, 1114, 371, 81, 3174, 81, 695, 346, 610, 1604, 1114, 371, 81, 3174, 81, 695, 346, 284, 3082, 32, 1243, 3667, 3685, 505, 280, 1156, 3685, 505, 284, 665, 1156, 941, 3207, 784, 30, 1604, 711, 291, 442, 646, 630, 3667, 3685, 3207, 2455, 27, 284, 3082, 32, 1243, 3667, 941, 505, 280, 1156, 941, 505, 284, 3082, 32, 1653, 32, 6282, 280, 2933, 284, 3082, 32, 1653, 32, 2808, 280, 1665, 284, 443, 34164, 26, 1473, 711, 291, 1600, 81, 426, 280, 330, 678, 81, 426, 25, 284, 3082, 32, 3564, 1653, 32, 2808, 280, 34164, 284, 665, 1156, 13707, 3207, 784, 711, 291, 343, 280, 5436, 43270, 93, 30, 18623, 26, 784, 30, 831, 490, 436, 831, 328, 630, 32, 4642, 27944, 291, 442, 6611, 101, 14605, 23, 101, 9905, 904, 308, 784, 3667, 823, 29215, 426, 7642, 26542, 26, 86, 490, 284, 3082, 32, 1243, 3667, 13707, 505, 280, 1156, 13707, 505, 284, 665, 4131, 26, 784, 711, 291, 442, 630, 32, 524, 346, 284, 3082, 32, 1243, 32, 2853, 280, 4131, 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 ]
[ 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 2, 2, 5, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 3, 3, 3, 6, 6, 6, 4, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 4, 3, 3, 5, 6, 6, 7, 8, 5, 5, 5, 7, 9, 10, 8, 9, 8, 2, 2, 3, 5, 5, 5, 3, 3, 5, 5, 5, 2, 2, 3, 4, 4, 4, 3, 3, 3, 5, 7, 7, 7, 5, 5, 4, 4, 8, 9, 7, 9, 9, 6, 6, 2, 2, 3, 2, 2, 3, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 2, 2, 5, 6, 4, 4, 2, 2, 5, 6, 6, 6, 4, 4, 5, 5, 2, 2, 3, 4, 4, 4, 3, 3, 3, 5, 6, 6, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 8, 8, 8, 7, 2, 2, 6, 7, 5, 6, 6, 4, 4, 5, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 6, 7, 6, 6, 6, 6, 6, 5, 5, 7, 7, 7, 9, 10, 11, 11, 11, 11, 11, 7, 7, 8, 8, 8, 10, 11, 12, 12, 12, 2, 2, 6, 7, 5, 6, 4, 4, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 10, 9, 10, 9, 2, 2, 6, 7, 5, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 9, 10, 10, 8, 5, 5, 7, 4, 4, 5, 8, 9, 9, 9, 9, 9, 8, 6, 6, 8, 9, 9, 9, 9, 9, 8, 2, 2, 6, 7, 5, 6, 6, 4, 4, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 9, 9, 8, 2, 2, 6, 7, 5, 6, 6, 4, 4, 5, 5, 2, 2, 6, 7, 5, 6, 4, 4, 2, 2, 6, 7, 5, 6, 4, 4, 2, 2, 3, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 2, 2, 6, 7, 7, 5, 6, 4, 4, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 8, 11, 10, 10, 12, 13, 12, 12, 12, 9, 10, 10, 10, 12, 13, 12, 4, 4, 5, 8, 8, 8, 8, 8, 6, 6, 10, 9, 10, 10, 9, 9, 7, 9, 10, 9, 2, 2, 6, 7, 5, 6, 6, 4, 4, 5, 5, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 7, 2, 2, 6, 7, 5, 6, 4, 4, 2 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 1, 4, 4, 0, 0, 1, 0, 3, 3, 1, 1, 2, 3, 3, 0, 0, 0, 1, 1, 2, 3, 1, 2, 3, 1, 1, 2, 3, 1, 1, 2, 3, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 4, 4, 1, 0, 0, 0, 1, 1, 0, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 0, 1, 2, 0, 0, 4, 4, 3, 4, 4, 4, 2, 1, 2, 4, 4, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 8, 1, 1, 1, 8, 8, 8, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 0, 0, 2, 2, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 3, 3, 3, 0, 1, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 0, 0, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 0, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 6, 1, 1, 1, 2, 2, 2, 6, 6, 0, 1, 1, 1, 1, 1, 3, 2, 2, 1, 0, 0, 0, 4, 4, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 0, 0, 2, 2, 4, 4, 8, 1, 1, 1, 2, 2, 2, 8, 8, 0, 1, 0, 2, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 2, 0, 0, 4, 4, 0, 2, 0, 2, 0, 0, 4, 4, 12, 2, 1, 2, 12, 12, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 0, 0, 4, 4, 14, 1, 1, 1, 2, 14, 14, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 0, 0, 2, 2, 4, 4, 16, 2, 1, 2, 16, 16, 0, 0, 2, 1, 4, 4, 0, 2, 0, 2, 0, 0, 4 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 5741, 203, 465, 2322, 203, 465, 2322, 32, 983, 203, 1070, 1278, 3332, 378, 1188, 6833, 6136, 924, 203, 1070, 1278, 3332, 378, 32, 3515, 1188, 14949, 2548, 203, 1070, 1278, 3332, 378, 32, 3515, 1188, 12798, 203, 1070, 1278, 3332, 378, 32, 3515, 1188, 4200, 1047, 203, 1070, 3619, 7236, 32, 11452, 1188, 17377, 2031, 984, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 17727, 13871, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1695, 711, 291, 630, 32, 1439, 280, 1695, 291, 630, 32, 9404, 2548, 81, 2184, 280, 428, 324, 4825, 97, 392, 324, 313, 36227, 30, 2613, 81, 5457, 47, 40, 34, 30, 4568, 81, 2455, 30, 1890, 47, 35, 34, 34, 34, 30, 15946, 47, 35, 34, 34, 34, 30, 13202, 392, 291, 1481, 291, 630, 32, 3060, 81, 2665, 280, 2149, 284, 665, 1487, 26, 784, 30, 3920, 426, 30, 2075, 711, 291, 415, 313, 7001, 81, 983, 20, 646, 328, 2075, 44, 324, 3636, 17377, 2031, 984, 440, 7001, 81, 983, 438, 312, 2129, 2470, 436, 14949, 2548, 657, 291, 6562, 81, 983, 280, 2075, 1365, 7001, 81, 983, 1446, 291, 2196, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 784, 32, 1439, 30, 3920, 426, 27, 291, 1245, 32, 1338, 440, 16608, 3362, 313, 474, 2196, 81, 983, 27, 291, 2322, 32, 10174, 26, 1696, 81, 983, 27, 291, 4774, 928, 280, 1605, 291, 415, 313, 9404, 81, 1163, 20, 328, 2075, 44, 324, 4774, 928, 1454, 3037, 31, 56, 392, 2075, 1365, 9404, 81, 1163, 32851, 291, 415, 313, 9404, 2548, 81, 2184, 20, 328, 2075, 44, 324, 14949, 2548, 81, 2184, 280, 428, 2184, 1365, 9404, 2548, 81, 2184, 32851, 291, 813, 44, 324, 14949, 2548, 81, 2184, 280, 630, 32, 9404, 2548, 81, 2184, 291, 4774, 928, 1454, 428, 7001, 81, 983, 79, 291, 4774, 928, 1454, 428, 1696, 81, 983, 79, 291, 4774, 928, 1454, 14949, 2548, 81, 2184, 291, 630, 32, 3060, 81, 2665, 77, 3060, 426, 79, 280, 301, 324, 313, 3325, 563, 2196, 81, 983, 30, 324, 313, 7313, 563, 6562, 81, 983, 30, 324, 313, 41842, 563, 4774, 928, 30, 324, 313, 45429, 563, 3177, 30, 291, 320, 284, 665, 1149, 26, 784, 711, 291, 3920, 81, 668, 280, 1605, 291, 436, 21970, 328, 630, 32, 3060, 81, 2665, 44, 324, 3920, 81, 668, 1454, 428, 27611, 79, 291, 442, 3920, 81, 668, 284, 665, 10874, 81, 1553, 26, 784, 30, 3920, 426, 711, 291, 415, 646, 630, 32, 3060, 81, 2665, 77, 3060, 426, 11159, 45429, 18270, 324, 1245, 32, 731, 440, 6795, 301, 34, 111, 438, 646, 29236, 2296, 1643, 26, 3060, 426, 490, 324, 442, 1665, 291, 442, 630, 32, 3060, 81, 2665, 77, 3060, 426, 11159, 3325, 1446, 284, 665, 1519, 26, 784, 30, 3920, 426, 711, 291, 415, 646, 630, 32, 2944, 81, 1553, 26, 3060, 426, 711, 324, 442, 1665, 291, 442, 630, 32, 3060 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 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, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 9, 9, 7, 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, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 8, 8, 8, 6, 6, 6, 5, 5, 5, 7, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 7, 6, 6, 7, 9, 9, 9, 9, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 8, 8, 9, 8, 4, 4, 7, 8, 7, 10, 10, 10, 8, 8, 9, 9, 7, 4, 4, 7, 8, 7, 8, 8, 8, 7, 4, 4, 7, 6, 6, 4, 4, 5, 8, 8, 8, 8, 6, 6, 5, 5, 5, 9, 8, 8, 11, 11, 11, 9, 10, 12, 12, 12, 12, 4, 4, 5, 8, 8, 8, 8, 8, 6, 6, 5, 5, 5, 9, 9, 9, 8, 8, 11, 10, 12, 12, 12, 12, 12, 5, 5, 6, 6, 6, 10, 10, 10, 9, 9, 10, 11, 11, 11, 11, 4, 4, 7, 6, 6, 8, 8, 8, 7, 4, 4, 7, 6, 6, 8, 8, 8, 7, 4, 4, 7, 6, 6, 7, 7, 7, 4, 4, 8, 9, 9, 9, 7, 8, 8, 7, 6, 6, 7, 7, 10, 10, 8, 9, 9, 7, 7, 7, 10, 10, 8, 9, 9, 7, 7, 7, 10, 10, 8, 9, 7, 7, 7, 10, 10, 8, 7, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 7, 6, 6, 4, 4, 5, 5, 5, 6, 7, 7, 7, 5, 5, 5, 9, 9, 8, 8, 10, 9, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 6, 9, 10, 10, 10, 8, 9, 9, 8, 9, 9, 5, 5, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 12, 12, 11, 6, 6, 7, 4, 4, 5, 8, 9, 9, 9, 7, 8, 8, 7, 8, 8, 2, 2, 3, 4, 5, 4, 4, 5, 4, 3, 3, 5, 6, 8, 9, 9, 9, 8, 9, 9, 8, 5, 5, 7, 4, 4, 5, 8, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 7, 7, 0, 0, 1, 2, 7, 7, 0, 8, 8, 0, 0, 1, 2, 8, 8, 0, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 11, 11, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 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, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 4, 4, 6, 1, 1, 1, 2, 1, 1, 6, 6, 6, 0, 0, 0, 1, 1, 2, 2, 3, 1, 1, 1, 2, 4, 4, 7, 1, 1, 1, 1, 2, 1, 1, 7, 7, 7, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 7, 7, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 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, 2, 4, 4, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 1, 2, 7, 2, 2, 2, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 4, 4, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 4, 4, 2, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 2, 3, 3, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 4, 4, 4, 2, 1, 2, 2, 3, 2, 4, 4, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 4, 4, 1, 0, 2 ]
[ 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 3226, 267, 402, 32, 8216, 32, 3378, 1188, 15200, 203, 1070, 3226, 267, 402, 32, 17274, 32, 3378, 1188, 6211, 203, 1070, 7138, 1188, 7138, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 1070, 3226, 267, 402, 32, 1439, 32, 3378, 1188, 6287, 1761, 203, 1070, 3226, 267, 402, 32, 16607, 32, 3378, 1188, 24274, 620, 203, 1070, 8527, 81, 3868, 1495, 1188, 3833, 203, 1270, 44, 284, 645, 8527, 32, 2957, 1188, 4070, 284, 2680, 280, 4070, 32, 9036, 81, 4975, 81, 14483, 203, 7343, 29986, 44, 284, 645, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 1070, 3226, 267, 402, 32, 605, 9698, 32, 3378, 1188, 498, 639, 339, 6510, 620, 203, 823, 516, 792, 726, 23672, 7495, 26, 3378, 32, 1243, 711, 284, 2340, 81, 1003, 261, 280, 4549, 32, 36172, 26, 1536, 47, 6665, 32, 2174, 27, 284, 1256, 351, 280, 4549, 32, 13343, 26, 1240, 30, 744, 47, 2700, 30, 11771, 47, 2700, 27, 284, 5396, 958, 280, 4549, 32, 13343, 26, 4772, 30, 744, 47, 2700, 30, 11771, 47, 2700, 27, 284, 665, 1156, 9941, 3207, 784, 711, 291, 442, 10698, 34, 40602, 35, 16054, 1643, 26, 784, 32, 496, 32, 699, 30, 630, 32, 1823, 32, 1311, 27, 203, 823, 2244, 267, 36684, 26, 3378, 32, 1243, 711, 284, 1878, 57, 81, 2319, 81, 15916, 11980, 280, 498, 639, 339, 6510, 620, 32, 5740, 32, 2810, 81, 668, 463, 695, 370, 330, 2751, 81, 695, 683, 284, 2340, 280, 4549, 32, 36172, 26, 2837, 81, 2174, 47, 1815, 27, 284, 600, 267, 81, 2232, 81, 426, 280, 4549, 32, 16357, 2176, 463, 3472, 3270, 1425, 1769, 81, 1322, 47, 35, 34, 34, 27, 284, 600, 267, 81, 2135, 81, 426, 280, 4549, 32, 16357, 2176, 463, 3267, 3270, 1425, 1769, 81, 1322, 47, 35, 34, 34, 27, 284, 600, 267, 81, 1935, 280, 4549, 32, 4477, 1176, 2176, 463, 4477, 1425, 1769, 81, 1322, 47, 39, 34, 27, 284, 600, 267, 81, 12708, 280, 4549, 32, 16357, 2176, 463, 12807, 1425, 1769, 81, 1322, 47, 35, 34, 34, 27, 284, 600, 267, 81, 32227, 280, 4549, 32, 16357, 2176, 463, 35019, 1425, 1769, 81, 1322, 47, 35, 34, 34, 27, 284, 600, 267, 81, 1823, 280, 4549, 32, 16357, 2176, 463, 4772, 3270, 1425, 1769, 81, 1322, 47, 35, 34, 34, 30, 744, 47, 1815, 30, 11771, 47, 1815, 21713, 284, 600, 267, 81, 1088, 681, 280, 4549, 32, 16357, 26, 291, 30121, 12807, 2768, 1425, 291, 1769, 81, 1322, 47, 35, 34, 34, 30, 291, 16682, 47, 22581, 81, 2319, 81, 15916, 11980, 30, 291, 1244, 347, 8381, 392, 291, 3049, 81, 878, 1057, 12807, 827, 4122, 544, 35790, 31, 3761, 54, 783, 35, 2398, 26246, 15310, 25, 284, 829, 284, 600, 267, 81, 1088, 2455, 280, 4549, 32, 16357, 26, 291, 30121, 2797, 7859, 30, 4322, 6377, 1425, 291, 1769, 81, 1322, 47, 36, 39, 39, 30, 291, 11771, 47, 1815, 30, 291, 744, 47, 1815 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 3, 4, 5, 3, 3, 2, 2, 4, 4, 5, 6, 6, 6, 6, 6, 1, 2, 2, 2, 2, 2, 4, 5, 6, 5, 6, 5, 6, 4, 4, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 4, 6, 7, 6, 8, 7, 9, 8, 9, 6, 2, 2, 4, 4, 4, 6, 7, 6, 7, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 4, 4, 4, 6, 7, 6, 7, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 9, 9, 9, 8, 7, 10, 9, 10, 8, 9, 7, 7, 9, 10, 8, 9, 7, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 8, 7, 8, 6, 7, 7, 7, 6, 8, 8, 6, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 10, 10, 10, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 10, 10, 10, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 7, 6, 8, 10, 10, 6, 8, 8, 7, 8, 8, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 8, 10, 10, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 8, 10, 10, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 8, 10, 10, 10, 6, 8, 8, 7, 8, 8, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 6, 6, 10, 10, 10, 6, 6, 8, 8, 7, 8, 8, 8, 6, 6, 6, 7, 8, 8, 8, 8, 8, 8, 6, 6, 6, 7, 9, 9, 6, 6, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 6, 6, 10, 10, 10, 10, 10, 10, 6, 6, 8, 8, 7, 8, 8, 8, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 3, 3, 0, 5, 5, 0, 0, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 0, 0, 1, 2, 1, 4, 6, 6, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 8, 8, 8, 8, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 8, 3, 3, 3, 3, 3, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 9, 9, 0, 0, 1, 2, 2, 1, 4, 9, 9, 0, 0, 0, 0, 0, 10, 10, 1, 1, 1, 1, 2, 0, 1, 2, 2, 10, 10, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 3, 2, 1, 0, 11, 11, 1, 1, 2, 0, 1, 2, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 5, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 1, 2, 1, 1, 0, 0, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 5, 2, 1, 1, 1, 7, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 15390, 81, 30839, 203, 465, 45977, 203, 1070, 13625, 1188, 33953, 203, 465, 35094, 203, 465, 2322, 203, 465, 316, 203, 465, 3619, 4746, 930, 366, 203, 465, 3619, 4746, 930, 366, 32, 878, 1356, 619, 1344, 1356, 203, 1070, 3619, 4746, 930, 366, 32, 878, 1356, 1188, 617, 6221, 3442, 3665, 1796, 30, 6571, 81, 15485, 203, 1070, 3619, 4746, 930, 366, 1188, 1359, 30, 17927, 7294, 203, 1070, 3619, 4746, 930, 366, 32, 2851, 1188, 617, 27313, 2711, 203, 1070, 3619, 4746, 930, 366, 32, 4280, 1188, 28182, 81, 19991, 203, 1070, 3312, 32, 17753, 101, 1188, 308, 284, 15798, 30, 1205, 81, 3477, 30, 19205, 30, 4101, 54, 994, 7294, 7233, 30, 284, 19607, 299, 7233, 30, 13957, 2212, 7233, 30, 203, 27, 203, 1070, 3312, 1188, 4395, 203, 2536, 280, 2149, 203, 7781, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 330, 5646, 683, 203, 979, 296, 328, 2107, 272, 6419, 81, 4756, 81, 30379, 12132, 284, 623, 45977, 32, 1676, 26, 500, 32, 983, 32, 2524, 26, 7781, 30, 296, 474, 5608, 1637, 1425, 3486, 330, 100, 370, 330, 3310, 31, 42, 683, 619, 1795, 44, 291, 2276, 77, 88, 79, 280, 1795, 32, 850, 346, 203, 823, 2108, 5426, 10905, 26, 7233, 711, 284, 3706, 280, 3177, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 2579, 1267, 35, 280, 2726, 9532, 4220, 44, 14148, 35, 3212, 42668, 4900, 27, 101, 9532, 4220, 44, 14148, 36, 3212, 42668, 4900, 27, 101, 25, 6029, 904, 5053, 4900, 950, 1359, 32, 4900, 1748, 291, 2599, 26, 1006, 5426, 10905, 30, 630, 547, 23741, 346, 284, 665, 4304, 26, 784, 30, 2771, 30, 7777, 711, 291, 442, 1344, 1356, 32, 13822, 81, 878, 81, 25543, 81, 1906, 26, 324, 2276, 77, 3359, 614, 7777, 27, 284, 665, 1201, 7274, 26, 784, 30, 2771, 30, 7777, 30, 319, 1132, 30, 1115, 5321, 711, 291, 630, 32, 5299, 26, 784, 32, 4752, 26, 3359, 30, 7777, 471, 2933, 30, 319, 1132, 30, 1115, 5321, 27, 284, 665, 1201, 1337, 7274, 26, 784, 30, 2771, 30, 7777, 30, 319, 1132, 30, 1115, 5321, 711, 291, 630, 32, 5299, 26, 784, 32, 4752, 26, 3359, 30, 7777, 471, 3177, 30, 319, 1132, 30, 1115, 5321, 27, 284, 665, 894, 3059, 18594, 26, 784, 711, 291, 630, 32, 45100, 463, 272, 6419, 81, 4756, 81, 30379, 370, 330, 19887, 683, 284, 665, 894, 26411, 383, 5426, 26, 784, 711, 291, 630, 32, 45100, 463, 272, 6419, 81, 4756, 81, 30379, 370, 330, 22538, 81, 318, 1507, 683, 291, 630, 32, 31196, 7274, 463, 272, 6419, 81, 4756, 81, 30379, 370, 5307, 22538, 37755, 370, 7686, 313, 27124, 30, 5307, 22538, 37755, 25, 1957, 646, 1389, 657, 291, 630, 32, 31196, 7274, 463, 272, 6419, 81, 4756, 81, 30379, 370, 330, 22538, 4896, 1507, 370, 7686, 330, 1906, 27730, 884, 1135, 31, 29264, 683, 291, 630, 32, 31196, 7274, 463, 272, 6419, 81, 4756, 81, 30379, 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, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 3, 4, 4, 2, 2, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 1, 1, 0, 3, 2, 2, 0, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 4, 6, 6, 0, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 10, 10, 11, 11, 13, 13, 8, 8, 10, 10, 8, 10, 10, 10, 10, 6, 6, 3, 3, 3, 7, 8, 7, 6, 6, 8, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 12, 12, 10, 11, 12, 9, 4, 4, 9, 10, 10, 10, 9, 9, 9, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 9, 8, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 7, 10, 9, 10, 9, 10, 9, 9, 9, 7, 7, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 7, 10, 9, 10, 9, 10, 9, 9, 9, 7, 7, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 8, 8, 0, 0, 0, 1, 2, 2, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 10, 10, 0, 0, 0, 1, 2, 10, 10, 0, 0, 0, 11, 11, 0, 0, 0, 1, 2, 11, 11, 0, 0, 0, 12, 12, 1, 2, 2, 12, 12, 12, 12, 12, 12, 0, 0, 12, 12, 12, 12, 0, 0, 0, 0, 12, 12, 12, 0, 0, 12, 12, 0, 0, 12, 12, 12, 0, 13, 13, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 16, 16, 16, 16, 1, 1, 1, 1, 1, 1, 2, 16, 16, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 17, 17, 1, 1, 2, 1, 2, 17, 17, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 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, 2, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 3, 3, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2 ]
[ 1070, 20211, 32, 32370, 32, 893, 1188, 4361, 750, 4815, 30, 1417, 81, 452, 81, 1275, 30, 4791, 81, 452, 81, 955, 30, 2454, 81, 1275, 203, 465, 6436, 619, 2065, 203, 1070, 7744, 1188, 8316, 203, 1070, 20211, 32, 32370, 32, 893, 1188, 4361, 750, 4815, 203, 465, 6677, 36, 203, 1070, 13134, 32, 5176, 1188, 1224, 41226, 203, 465, 13134, 32, 32370, 619, 1406, 510, 203, 9592, 203, 605, 2518, 280, 4361, 750, 4815, 26, 291, 11410, 81, 3585, 47, 35, 42, 34, 30, 291, 11017, 282, 81, 3585, 47, 1295, 30, 291, 5318, 81, 2816, 1057, 30272, 683, 203, 3239, 81, 605, 280, 2065, 32, 944, 463, 25458, 33, 3239, 36, 38, 38, 464, 32, 17632, 683, 203, 3239, 81, 5919, 280, 2065, 32, 944, 463, 25458, 33, 3239, 81, 1977, 36, 38, 38, 464, 32, 17632, 683, 203, 605, 2518, 32, 4698, 26, 3239, 81, 605, 30, 37234, 47, 36, 27, 203, 91, 280, 225, 34, 203, 96, 340, 3535, 81, 26824, 307, 280, 1605, 203, 35146, 280, 225, 35, 203, 979, 5254, 328, 706, 2518, 32, 1867, 26, 3239, 81, 605, 30, 3239, 81, 5919, 30, 4432, 81, 891, 280, 308, 1657, 26, 3239, 81, 605, 490, 711, 284, 595, 1454, 225, 35, 284, 415, 595, 848, 41066, 44, 291, 1626, 284, 31970, 3535, 81, 26824, 307, 32, 1689, 26, 4432, 77, 34, 1130, 203, 96, 340, 3535, 81, 26824, 307, 280, 2065, 32, 955, 26, 96, 340, 3535, 81, 26824, 307, 27, 203, 96, 340, 3535, 81, 26824, 307, 280, 2065, 32, 12091, 26, 96, 340, 3535, 81, 26824, 307, 30, 308, 1657, 26, 3239, 81, 605, 4586, 35146, 30, 36, 38, 38, 30, 36, 38, 38, 30, 37, 490, 203, 2356, 32, 2853, 463, 25458, 33, 7615, 6726, 993, 32, 17632, 370, 31970, 3535, 81, 26824, 307, 30, 2608, 81, 24088, 47, 1815, 30, 2421, 81, 22450, 47, 1815, 27, 203, 9592, 203, 3239, 81, 605, 280, 2065, 32, 944, 463, 25458, 33, 3239, 36, 38, 38, 464, 32, 17632, 683, 203, 858, 81, 605, 280, 2065, 32, 944, 463, 25458, 33, 858, 36, 38, 38, 32, 17632, 683, 203, 44770, 280, 6677, 36, 32, 2253, 57, 4327, 346, 203, 589, 622, 21012, 26, 893, 711, 284, 1778, 280, 6677, 36, 32, 34123, 1514, 26, 893, 30, 6677, 36, 32, 6224, 81, 7807, 36, 32007, 27, 284, 1778, 280, 1778, 319, 225, 36, 39, 39, 284, 1778, 280, 1778, 32, 15315, 463, 1774, 42, 683, 17946, 442, 29117, 32, 7924, 26, 893, 27, 203, 90, 37878, 280, 428, 371, 21012, 26, 1275, 27, 436, 4791, 328, 5683, 81, 605, 79, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 4, 2, 2, 3, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 5, 4, 5, 5, 5, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 7, 6, 7, 7, 6, 7, 6, 6, 8, 7, 8, 8, 8, 8, 8, 6, 2, 2, 4, 4, 5, 5, 6, 6, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 2, 2, 3, 5, 6, 5, 6, 5, 0, 3, 3, 2, 2, 5, 5, 5, 6, 5, 3, 4, 4, 4, 5, 5, 3, 0, 1, 1, 3, 3, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 4, 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, 2, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 6, 6, 0, 2, 1, 1, 2, 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, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 11, 11, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 3, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 2, 0, 13, 13, 0, 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 ]
[ 465, 5741, 203, 465, 34574, 1580, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 619, 617, 203, 1070, 420, 25361, 1188, 14735, 203, 1070, 2156, 3034, 81, 7854, 32, 1237, 32, 1439, 1188, 1984, 81, 979, 30, 14789, 779, 3557, 4672, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 19856, 81, 852, 44854, 280, 13189, 203, 823, 9095, 26, 1893, 779, 3557, 4672, 711, 284, 3097, 203, 823, 9823, 959, 26, 1893, 779, 3557, 4672, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1845, 314, 3557, 30, 3851, 81, 426, 30, 3218, 81, 426, 47, 2521, 30, 706, 47, 2521, 711, 291, 2599, 26, 3566, 959, 30, 630, 14585, 1664, 3207, 15736, 3557, 27, 291, 630, 32, 2630, 81, 426, 280, 3851, 81, 426, 291, 630, 32, 3831, 81, 426, 280, 3218, 81, 426, 291, 630, 32, 605, 280, 706, 203, 823, 447, 14120, 5637, 26, 1893, 779, 3557, 4672, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1845, 314, 3557, 30, 3851, 81, 426, 711, 291, 2599, 26, 33325, 5637, 30, 630, 14585, 1664, 3207, 15736, 3557, 27, 291, 630, 32, 2630, 81, 426, 280, 3851, 81, 426, 284, 665, 617, 2040, 81, 1286, 81, 681, 26, 784, 711, 291, 1795, 81, 681, 280, 630, 1114, 15736, 3557, 32, 371, 440, 1286, 81, 681, 392, 1665, 27, 291, 442, 1795, 81, 681, 610, 313, 3164, 33, 5660, 20, 284, 477, 2433, 284, 665, 636, 26, 784, 711, 291, 415, 630, 1114, 2040, 81, 1286, 81, 681, 2262, 324, 442, 630, 1114, 15736, 3557, 710, 426, 785, 291, 442, 630, 32, 43322, 32, 38848, 26, 19856, 81, 852, 44854, 27, 284, 477, 2433, 284, 665, 3519, 26, 784, 711, 291, 415, 630, 1114, 2040, 81, 1286, 81, 681, 2262, 324, 442, 630, 1114, 15736, 3557, 710, 3651, 785, 291, 442, 1665, 284, 477, 2433, 284, 665, 1795, 81, 681, 26, 784, 711, 291, 442, 313, 3164, 33, 5660, 20, 203, 589, 617, 1473, 1147, 26, 3028, 30, 3851, 81, 426, 711, 284, 4684, 280, 2149, 284, 1361, 1515, 81, 25165, 280, 1605, 284, 436, 1623, 328, 3946, 44, 291, 415, 1623, 32, 371, 440, 1286, 81, 681, 392, 1665, 27, 610, 313, 3164, 33, 5660, 563, 324, 4684, 77, 1094, 710, 426, 18038, 280, 447, 14120, 5637, 26, 1094, 30, 3851, 81, 426, 27, 291, 4348, 1623, 32, 371, 440, 43322, 392, 1665, 27, 438, 646, 1665, 44, 324, 1361, 1515, 81, 25165, 32, 1689, 26, 33325, 5637, 26, 1094, 30, 3851, 81, 426, 490, 291, 813, 44, 324, 4684, 77, 1094, 710, 426, 18038, 280, 9823, 959, 26, 1094, 30, 3851, 81, 426, 27, 284, 436, 1623, 328, 1361, 1515, 81, 25165, 44, 291, 415, 1623, 32, 426, 646, 328, 4684, 32, 3494, 2262, 324, 4684, 77, 1094, 32, 426, 79, 280, 1623, 284, 442, 4684, 32, 2810, 346, 203, 589, 34574, 81, 1237, 26, 1357, 711, 284, 6998, 280, 1984, 81, 979, 26, 1357, 30, 330, 1473, 31, 2157, 683, 284, 5776, 32, 2811, 463, 25278, 3387, 3272, 1471 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 2, 2, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 3, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 10, 8, 9, 8, 10, 10, 10, 10, 8, 8, 4, 4, 5, 7, 7, 6, 6, 8, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 9, 9, 9, 9, 9, 8, 6, 6, 8, 10, 11, 11, 9, 11, 11, 5, 5, 6, 9, 10, 8, 9, 8, 9, 9, 9, 9, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 9, 9, 9, 9, 9, 8, 6, 6, 8, 10, 11, 11, 9, 11, 11, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 5, 8, 9, 8, 10, 10, 10, 10, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 9, 11, 10, 12, 12, 8, 8, 10, 10, 10, 11, 10, 10, 11, 11, 10, 5, 5, 6, 9, 10, 9, 11, 11, 9, 9, 7, 7, 7, 6, 6, 6, 11, 11, 11, 10, 11, 10, 12, 12, 12, 13, 12, 12, 13, 13, 12, 5, 5, 6, 6, 6, 10, 12, 11, 13, 13, 9, 9, 11, 11, 12, 11, 11, 12, 12, 11, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 5, 7, 8, 6, 6, 6, 8, 9, 8, 5, 5, 9, 11, 10, 11, 9, 8, 8, 2, 2, 3, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 7, 6, 6, 8, 8, 8, 8, 2, 2, 5, 6, 5, 8, 8, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 0, 0, 1, 2, 1, 4, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 2, 1, 1, 1, 1, 2, 8, 8, 0, 9, 9, 1, 2, 1, 1, 1, 1, 2, 9, 9, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 0, 0, 7, 2, 2, 2, 9, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 10, 10, 1, 1, 2, 1, 1, 1, 1, 2, 10, 10, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 3, 3, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 4, 4, 1, 4, 4, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 11, 11, 1, 1, 2, 1, 2, 2, 3, 3, 2, 11, 11, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 4, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 5, 5, 5, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 4, 4, 4, 0, 2, 1, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1 ]
[ 1070, 7138, 1188, 30784, 203, 465, 13092, 203, 1070, 296, 965, 1188, 296, 965, 203, 1070, 2322, 88, 81, 4882, 32, 42053, 1188, 308, 284, 6227, 1240, 2214, 30, 284, 7474, 1216, 2214, 30, 284, 7474, 1216, 2570, 2214, 30, 203, 27, 203, 1070, 23074, 32, 11893, 1188, 7051, 2762, 203, 1070, 23074, 81, 4882, 32, 42053, 1188, 15054, 1335, 2214, 203, 1070, 9575, 32, 1040, 1188, 4227, 619, 2322, 88, 81, 11893, 203, 50, 12408, 32, 1826, 32, 11025, 81, 1199, 203, 823, 15054, 1335, 6315, 2963, 13976, 26, 1473, 711, 284, 477, 12408, 32, 12940, 346, 284, 665, 1984, 26, 784, 711, 291, 3636, 22210, 284, 477, 12408, 32, 12940, 346, 284, 665, 6887, 26, 784, 711, 291, 442, 7474, 1216, 2570, 2214, 346, 284, 477, 12408, 32, 12940, 346, 284, 665, 1406, 1216, 26, 784, 30, 6887, 711, 291, 442, 7474, 1216, 2214, 26, 6385, 47, 6385, 27, 284, 477, 12408, 32, 12940, 346, 284, 665, 8821, 26, 784, 30, 1406, 1216, 711, 291, 442, 428, 8365, 1335, 2214, 26, 33794, 47, 1001, 1216, 27, 436, 617, 328, 2155, 26, 39, 2177, 284, 477, 12408, 32, 12940, 346, 284, 665, 6887, 81, 2300, 26, 784, 30, 6887, 711, 291, 1256, 280, 6227, 1240, 2214, 346, 291, 1256, 32, 6332, 32, 669, 26, 1564, 2762, 26, 6385, 547, 371, 81, 1363, 463, 2300, 2847, 291, 442, 1256, 284, 477, 12408, 32, 12940, 346, 284, 665, 6887, 81, 1803, 11290, 26, 784, 30, 6887, 711, 291, 1256, 280, 6227, 1240, 2214, 346, 291, 1256, 32, 6332, 32, 669, 26, 1564, 2762, 26, 6385, 547, 371, 81, 1363, 463, 1803, 11290, 2847, 291, 442, 1256, 284, 477, 12408, 32, 12940, 346, 284, 665, 1541, 81, 2300, 26, 784, 30, 1406, 1216, 711, 291, 1256, 280, 6227, 1240, 2214, 346, 291, 1406, 1216, 32, 1251, 32, 669, 81, 34053, 26, 496, 30, 4227, 6020, 500, 88, 81, 11893, 32, 4409, 30, 2322, 88, 81, 11893, 32, 3214, 30, 2322, 88, 81, 11893, 32, 15816, 1130, 291, 442, 1256, 284, 665, 894, 81, 3647, 81, 3550, 26, 784, 30, 1123, 30, 1984, 30, 6887, 30, 8821, 30, 6887, 81, 2300, 30, 6887, 81, 1803, 11290, 30, 1541, 81, 2300, 711, 291, 2799, 81, 3631, 280, 739, 2009, 94, 1114, 314, 436, 456, 328, 8821, 1130, 291, 436, 23231, 328, 428, 1815, 30, 3177, 2786, 324, 436, 945, 328, 428, 1815, 30, 3177, 2786, 400, 6887, 32, 17288, 81, 8680, 81, 12800, 280, 23231, 400, 6887, 32, 17288, 81, 8680, 81, 2055, 280, 945, 400, 6887, 32, 2853, 346, 400, 736, 280, 1123, 32, 371, 26, 965, 30, 3796, 47, 6385, 81, 2300, 32, 2393, 27, 400, 630, 3667, 862, 81, 4151, 26, 575, 30, 2799, 81, 3631, 30, 3177, 30, 3177, 27, 400, 736, 280, 1123, 32, 371, 26, 965, 30, 3796, 47, 6385, 81, 1803, 11290, 32, 2393, 27, 400, 630, 3667, 862, 81, 4151, 26, 575, 30, 2799, 81, 3631, 30, 3177, 30, 3177, 27, 400, 736, 280, 1123, 32, 371, 26, 965, 30, 3796, 47, 1251, 81, 2300, 32, 2393, 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, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 3, 0, 2, 5, 4, 5, 3, 4, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 8, 7, 8, 7, 4, 4, 5, 6, 7, 6, 5, 5, 7, 3, 3, 8, 7, 8, 7, 4, 4, 5, 6, 7, 6, 5, 5, 7, 9, 9, 9, 9, 3, 3, 8, 7, 8, 7, 4, 4, 5, 6, 6, 7, 6, 6, 6, 5, 5, 7, 9, 9, 9, 11, 10, 11, 9, 3, 3, 8, 7, 8, 7, 4, 4, 5, 6, 7, 6, 6, 7, 6, 5, 5, 7, 10, 10, 10, 10, 12, 11, 12, 12, 10, 8, 9, 9, 9, 11, 12, 11, 3, 3, 8, 7, 8, 7, 4, 4, 5, 6, 6, 6, 7, 6, 6, 6, 5, 5, 8, 8, 10, 10, 10, 6, 6, 10, 11, 9, 10, 9, 13, 13, 13, 14, 13, 12, 12, 12, 11, 13, 13, 6, 6, 7, 3, 3, 8, 7, 8, 7, 4, 4, 5, 6, 6, 6, 6, 7, 6, 6, 6, 5, 5, 8, 8, 10, 10, 10, 6, 6, 10, 11, 9, 10, 9, 13, 13, 13, 14, 13, 12, 12, 12, 11, 13, 13, 13, 6, 6, 7, 3, 3, 8, 7, 8, 7, 4, 4, 5, 6, 6, 6, 7, 6, 6, 7, 6, 5, 5, 8, 8, 10, 10, 10, 6, 6, 11, 10, 11, 9, 10, 10, 10, 9, 10, 9, 9, 10, 13, 13, 13, 13, 12, 13, 11, 11, 13, 13, 13, 12, 13, 11, 11, 13, 13, 13, 12, 13, 11, 6, 6, 7, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 5, 5, 6, 6, 5, 4, 4, 8, 8, 7, 7, 9, 12, 11, 12, 10, 11, 11, 11, 10, 5, 5, 6, 6, 6, 8, 7, 7, 7, 6, 6, 8, 8, 8, 10, 9, 9, 9, 8, 8, 12, 13, 13, 13, 13, 13, 11, 11, 9, 9, 12, 13, 13, 13, 13, 13, 11, 11, 9, 9, 12, 13, 12, 9, 9, 11, 11, 13, 14, 13, 14, 13, 13, 14, 16, 16, 16, 15, 16, 13, 9, 9, 12, 13, 13, 13, 12, 13, 12, 12, 13, 13, 12, 12, 12, 12, 12, 9, 9, 11, 11, 13, 14, 13, 14, 13, 13, 14, 16, 16, 16, 16, 15, 16, 13, 9, 9, 12, 13, 13, 13, 12, 13, 12, 12, 13, 13, 12, 12, 12, 12, 12, 9, 9, 11, 11, 13, 14, 13, 14, 13, 13, 14, 16, 16, 16, 15, 16, 13 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 0, 0, 1, 2, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 0, 0, 6, 6, 1, 2, 6, 6, 3, 3, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 7, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 4, 4, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 1, 3, 3, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 4, 4, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 4, 4, 2, 4, 4, 0, 0, 2, 1, 5, 5, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 4, 4, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 2, 4, 4, 0, 0, 2, 1, 6, 6, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 3, 2, 2, 2, 0, 0, 0, 5, 2, 2, 4, 4, 2, 4, 4, 7, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 11, 11, 2, 2, 13, 13, 13, 2, 2, 15, 15, 2, 7, 7, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 0, 0, 1, 3, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 5, 5, 0, 2, 2, 2, 2, 2, 0, 0, 5, 5, 0, 2, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 0, 0, 2, 2, 1, 5, 5, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 0, 0, 0, 2, 2, 1, 5, 5, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 0, 0, 2, 2, 1 ]
[ 465, 18346, 2516, 203, 465, 2322, 203, 465, 3995, 203, 465, 1133, 203, 1070, 4096, 1188, 47048, 30, 2556, 27123, 203, 1070, 4096, 32, 14038, 1031, 1188, 28124, 1031, 203, 1070, 4096, 32, 5891, 8333, 2512, 502, 1188, 23360, 8333, 2512, 502, 203, 1070, 4096, 32, 14038, 1761, 1188, 28124, 1761, 203, 1070, 4096, 32, 2644, 1188, 10268, 203, 1070, 4096, 32, 2755, 1188, 2179, 770, 30, 622, 15097, 30, 2179, 3225, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 2200, 32, 2304, 1188, 13569, 81, 2474, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 18548, 81, 466, 30, 7650, 81, 9941, 203, 26082, 32, 669, 81, 15245, 463, 3310, 31, 42, 370, 47048, 32, 2514, 758, 3765, 30, 47048, 32, 17358, 30, 330, 3310, 31, 42, 683, 203, 5807, 81, 37608, 81, 14038, 81, 2319, 280, 330, 3164, 33, 35751, 31, 2238, 25, 203, 823, 11074, 2644, 924, 26, 22239, 711, 284, 3097, 203, 589, 1930, 81, 31281, 26, 314, 800, 47, 2521, 711, 284, 1133, 695, 280, 1133, 32, 1003, 346, 284, 8186, 85, 770, 280, 1133, 32, 20834, 15339, 75, 23, 95, 23, 86, 23, 58, 23, 63, 23, 69, 370, 1133, 32, 13945, 1003, 26, 1003, 695, 490, 284, 1596, 44, 291, 12497, 280, 2322, 32, 371, 6320, 346, 284, 2940, 29316, 44, 291, 12497, 280, 225, 35, 284, 10477, 410, 280, 3995, 32, 6386, 3585, 26, 35, 34, 34, 34, 34, 34, 27, 284, 415, 804, 800, 438, 1665, 44, 291, 804, 800, 280, 4247, 284, 813, 44, 291, 804, 800, 280, 18491, 474, 804, 800, 284, 804, 2035, 280, 13569, 81, 2474, 284, 3124, 314, 280, 4145, 23, 101, 15231, 101, 15231, 101, 23, 101, 36737, 101, 6457, 904, 308, 16700, 770, 30, 12497, 30, 10477, 410, 30, 804, 800, 30, 804, 2035, 27, 284, 442, 3124, 314, 203, 589, 436, 12117, 81, 6844, 81, 928, 81, 5078, 26, 426, 30, 909, 30, 7328, 711, 284, 7328, 280, 7328, 556, 4070, 32, 5807, 81, 43099, 284, 909, 280, 7650, 81, 9941, 26, 695, 27, 284, 415, 3228, 96, 25, 328, 909, 556, 3228, 100, 25, 328, 909, 44, 291, 3636, 11074, 2644, 924, 440, 2644, 2078, 883, 1330, 4799, 537, 4446, 308, 9294, 904, 100, 436, 3338, 904, 100, 4731, 904, 308, 695, 30, 636, 490, 284, 1596, 44, 291, 909, 280, 909, 32, 4434, 463, 14510, 683, 284, 2940, 23174, 10807, 924, 44, 291, 415, 636, 32, 5729, 346, 328, 2726, 452, 370, 330, 1070, 370, 330, 1152, 7831, 324, 1056, 280, 1605, 324, 436, 29851, 30, 8705, 328, 622, 15097, 1162, 695, 30, 8531, 400, 29851, 280, 596, 26, 2644, 26, 14276, 32, 4434, 26, 8644, 471, 7328, 490, 400, 1596, 44, 528, 8705, 280, 8705, 32, 4434, 463, 14510, 683, 400, 2940, 23174, 10807, 924, 44, 261, 528, 8705, 280, 596, 26, 2644, 26, 3225, 32, 4434, 26, 8644, 471, 7328, 490, 400, 1056, 32, 1689, 26, 1643, 3225, 1162, 14276, 30, 8705, 2610, 324, 909, 280, 5769, 5608, 2524, 26, 1267, 27, 291, 813, 44, 324, 909 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 4, 5, 5, 5, 3, 3, 4, 5, 3, 3, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 9, 9, 8, 9, 9, 8, 2, 2, 3, 3, 3, 6, 6, 8, 9, 9, 8, 3, 3, 4, 4, 4, 4, 7, 7, 8, 2, 2, 5, 4, 4, 6, 7, 7, 6, 7, 7, 7, 7, 7, 7, 6, 2, 2, 3, 5, 4, 4, 3, 3, 3, 7, 6, 6, 3, 3, 4, 4, 4, 8, 7, 7, 8, 8, 9, 2, 2, 5, 4, 4, 5, 5, 2, 2, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 6, 6, 6, 6, 7, 6, 6, 7, 6, 6, 7, 6, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 5, 5, 6, 7, 7, 7, 2, 2, 4, 4, 6, 6, 6, 7, 6, 2, 2, 3, 8, 7, 5, 5, 4, 4, 8, 7, 5, 5, 3, 3, 3, 5, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 9, 9, 9, 2, 2, 3, 3, 3, 6, 6, 8, 9, 8, 10, 10, 3, 3, 4, 5, 5, 4, 4, 4, 6, 9, 10, 9, 7, 7, 10, 10, 8, 10, 10, 8, 10, 10, 6, 6, 9, 9, 7, 7, 8, 9, 9, 8, 8, 10, 10, 12, 11, 11, 8, 8, 11, 11, 13, 15, 15, 18, 17, 18, 17, 18, 17, 15, 15, 9, 9, 10, 10, 10, 13, 13, 15, 16, 15, 17, 17, 10, 10, 11, 12, 12, 11, 11, 11, 11, 14, 14, 16, 18, 18, 21, 20, 21, 20, 21, 20, 18, 18, 9, 9, 12, 13, 12, 14, 14, 14, 16, 15, 15, 15, 7, 7, 9, 9, 13, 12, 11, 12, 11, 6, 6, 7, 7, 7 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 4, 4, 0, 0, 5, 5, 1, 2, 2, 5, 5, 0, 0, 6, 6, 1, 2, 2, 2, 2, 6, 6, 0, 0, 0, 0, 7, 7, 1, 2, 2, 7, 7, 0, 0, 8, 8, 1, 2, 8, 8, 0, 9, 9, 1, 2, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 10, 10, 1, 2, 10, 10, 0, 11, 11, 1, 2, 1, 4, 1, 6, 11, 11, 0, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 12, 12, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 1, 5, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 15, 15, 1, 1, 2, 1, 2, 15, 15, 0, 16, 16, 1, 1, 2, 0, 0, 1, 2, 2, 16, 16, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 4, 4, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 3, 3, 3, 3, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 1, 1, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 4, 4, 7, 1, 0, 17, 17, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 17, 17, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 2, 0, 2, 0, 0, 1, 1, 0, 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, 1, 2, 2, 2, 4, 4, 3, 3, 3, 0, 0, 0, 2, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 2, 1, 1, 1, 0, 0, 4, 4, 4 ]
[ 465, 821, 93, 619, 1156, 32976, 203, 465, 485, 716, 619, 1156, 30324, 203, 465, 485, 1473, 619, 1156, 89, 1473, 203, 465, 485, 1473, 1114, 89, 1473, 619, 1156, 89, 1473, 505, 89, 1473, 203, 1070, 13695, 1188, 13695, 203, 823, 4237, 3728, 26, 3728, 711, 284, 477, 17614, 284, 665, 745, 81, 5820, 81, 2929, 26, 6933, 30, 319, 1132, 30, 1115, 5321, 711, 4456, 3097, 284, 477, 17614, 284, 665, 745, 81, 4898, 81, 2929, 26, 6933, 30, 319, 1132, 30, 1115, 5321, 711, 4456, 3097, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 4456, 3097, 284, 665, 1156, 1731, 3207, 784, 711, 4456, 3097, 284, 1156, 89, 681, 505, 280, 1665, 225, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 2, 2, 3, 0, 1, 1, 4, 2, 2, 3, 0, 1, 1, 4, 2, 2, 3, 3, 0, 1, 1, 4, 3, 4, 4, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 7, 5, 5, 7, 5, 4, 4, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 7, 5, 5, 7, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 4, 5, 4, 3, 3, 2, 2, 5, 5, 5, 4, 4, 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, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 3, 3, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 4, 4, 4, 4, 0, 5, 5, 1, 2, 1, 2, 5, 5, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 1, 2, 3, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 589, 5295, 308, 2190, 711, 284, 323, 30, 310, 280, 18666, 26, 2190, 471, 225, 35, 284, 2218, 323, 32, 1877, 2262, 310, 1454, 225, 35, 284, 442, 310, 203, 823, 18666, 44, 284, 665, 1156, 1664, 505, 308, 784, 30, 7772, 711, 291, 630, 32, 2190, 280, 428, 668, 26, 643, 27, 436, 2698, 328, 7772, 79, 284, 665, 1974, 308, 784, 711, 291, 831, 30, 273, 280, 630, 32, 1978, 81, 1500, 346, 291, 415, 831, 461, 273, 44, 324, 630, 32, 2190, 77, 93, 77, 34, 22191, 93, 77, 35, 3212, 280, 30156, 324, 630, 32, 2190, 77, 102, 77, 34, 22191, 102, 77, 35, 3212, 280, 313, 61, 20, 324, 442, 2933, 291, 813, 44, 324, 442, 3177, 284, 665, 2354, 81, 1500, 308, 784, 711, 291, 831, 280, 630, 32, 9910, 694, 346, 291, 345, 280, 630, 32, 21332, 26, 93, 27, 291, 345, 32, 3323, 26, 678, 280, 9254, 298, 44, 298, 77, 35, 1130, 291, 345, 32, 3323, 26, 678, 280, 9254, 298, 44, 298, 77, 34, 1130, 291, 345, 32, 3323, 26, 678, 280, 9254, 298, 44, 2069, 26, 784, 32, 21332, 26, 98, 2610, 291, 273, 280, 1665, 291, 415, 2069, 26, 95, 27, 848, 225, 34, 44, 324, 273, 280, 345, 77, 34, 79, 291, 442, 831, 30, 273, 284, 665, 831, 14619, 308, 784, 711, 291, 436, 816, 30, 2698, 328, 10703, 26, 784, 32, 2190, 711, 324, 436, 533, 30, 4020, 328, 10703, 26, 643, 711, 400, 415, 4020, 610, 313, 61, 563, 528, 442, 816, 30, 533, 291, 442, 1665, 30, 1665, 284, 665, 18054, 308, 784, 30, 298, 711, 291, 816, 30, 533, 280, 298, 77, 34, 614, 298, 77, 35, 79, 291, 11420, 280, 428, 324, 428, 106, 429, 225, 36, 30, 533, 429, 225, 35, 614, 324, 428, 106, 429, 225, 36, 30, 533, 474, 225, 35, 614, 324, 428, 106, 429, 225, 35, 30, 533, 474, 225, 36, 614, 324, 428, 106, 474, 225, 35, 30, 533, 474, 225, 36, 614, 324, 428, 106, 474, 225, 36, 30, 533, 429, 225, 35, 614, 324, 428, 106, 474, 225, 36, 30, 533, 474, 225, 35, 614, 324, 428, 106, 429, 225, 35, 30, 533, 429, 225, 36, 614, 324, 428, 106, 474, 225, 35, 30, 533, 429, 225, 36, 614, 291, 1481, 291, 345, 280, 1605, 291, 436, 1760, 328, 11420, 44, 324, 415, 630, 32, 1327, 26, 1977, 711, 400, 345, 32, 1689, 26, 1977, 27, 291, 442, 345, 284, 665, 2080, 308, 784, 30, 298, 711, 291, 816, 30, 533, 280, 298, 77, 34, 614, 298, 77, 35, 79, 291, 415, 816, 333, 225, 34, 44, 324, 442, 3177, 291, 415, 816, 2377, 2069, 26, 784, 32, 2190, 711, 324, 442, 3177, 291, 415, 533, 333, 225, 34, 44, 324, 442, 3177, 291, 415, 533, 2377, 2069, 26, 784, 32, 2190, 77, 34, 10794, 324, 442, 3177, 291, 281, 280, 630, 32, 2190, 77, 106, 1674, 107, 79, 291, 415, 281, 610, 11570, 563, 324, 442, 3177, 291, 415, 281, 610, 313, 61, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 5, 5, 4, 4, 7, 8, 7, 5, 6, 2, 2, 3, 5, 6, 5, 3, 6, 6, 7, 2, 2, 3, 0, 1, 1, 1, 1, 1, 3, 4, 4, 3, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 9, 9, 10, 9, 7, 8, 8, 8, 7, 2, 2, 3, 3, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 11, 12, 10, 12, 11, 12, 11, 11, 10, 11, 10, 8, 8, 6, 6, 11, 12, 10, 12, 11, 12, 11, 11, 10, 11, 10, 8, 8, 10, 10, 6, 6, 7, 5, 5, 6, 6, 6, 8, 2, 2, 3, 4, 4, 3, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 8, 7, 9, 8, 8, 9, 9, 9, 10, 11, 10, 4, 4, 7, 8, 7, 9, 8, 8, 9, 9, 9, 10, 11, 10, 4, 4, 7, 8, 7, 9, 8, 8, 9, 9, 9, 11, 14, 13, 14, 13, 14, 13, 4, 4, 6, 6, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 8, 8, 9, 10, 9, 4, 4, 5, 6, 6, 2, 2, 3, 4, 3, 5, 4, 3, 3, 5, 6, 6, 5, 5, 7, 9, 8, 9, 7, 5, 5, 7, 8, 8, 7, 7, 9, 10, 9, 7, 7, 9, 10, 10, 12, 12, 9, 9, 11, 12, 12, 4, 4, 5, 6, 6, 2, 2, 3, 3, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 7, 8, 9, 8, 4, 4, 6, 6, 7, 7, 10, 9, 9, 10, 8, 8, 9, 9, 10, 8, 7, 7, 10, 9, 9, 10, 8, 8, 9, 9, 10, 8, 7, 7, 10, 9, 9, 10, 8, 8, 9, 9, 10, 8, 7, 7, 10, 9, 9, 10, 8, 8, 9, 9, 10, 8, 7, 7, 10, 9, 9, 10, 8, 8, 9, 9, 10, 8, 7, 7, 10, 9, 9, 10, 8, 8, 9, 9, 10, 8, 7, 7, 10, 9, 9, 10, 8, 8, 9, 9, 10, 8, 7, 7, 10, 9, 9, 10, 8, 8, 9, 9, 10, 8, 7, 7, 4, 4, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 7, 9, 10, 9, 10, 9, 7, 7, 11, 12, 11, 12, 11, 4, 4, 5, 2, 2, 3, 3, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 7, 8, 9, 8, 4, 4, 5, 6, 6, 7, 5, 5, 5, 7, 4, 4, 5, 6, 6, 8, 10, 9, 10, 8, 5, 5, 7, 4, 4, 5, 6, 6, 7, 5, 5, 5, 7, 4, 4, 5, 6, 6, 8, 11, 10, 11, 9, 10, 9, 5, 5, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8, 8, 7, 4, 4, 5, 6, 6, 8, 5, 5, 7, 4, 4, 5, 6, 6, 8, 8 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 4, 4, 1, 0, 2, 1, 1, 0, 0, 2, 4, 4, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 3, 3, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 3, 3, 2, 1, 1, 4, 4, 4, 0, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 2, 2, 3, 2, 3, 4, 4, 0, 2, 1, 0, 1, 1, 2, 2, 2, 3, 2, 3, 4, 4, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 4, 4, 6, 1, 1, 1, 1, 1, 2, 6, 6, 6, 0, 0, 2, 2, 2, 4, 4, 7, 1, 1, 3, 3, 3, 1, 3, 1, 2, 3, 3, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 4, 4, 1, 1, 1, 3, 3, 4, 4, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 3, 3, 2, 1, 2, 2, 0, 1, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 0, 1, 1, 2, 5, 5, 3, 3, 2, 5, 2, 2, 0, 1, 1, 2, 7, 7, 3, 3, 2, 7, 2, 2, 0, 1, 1, 2, 9, 9, 3, 3, 2, 9, 2, 2, 0, 1, 1, 2, 11, 11, 3, 3, 2, 11, 2, 2, 0, 1, 1, 2, 13, 13, 3, 3, 2, 13, 2, 2, 0, 1, 1, 2, 15, 15, 3, 3, 2, 15, 2, 2, 4, 4, 0, 0, 4, 4, 3, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 4, 4, 4, 3, 3, 5, 5, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 4, 4, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 4, 4, 3, 1, 1, 2, 3, 3, 3, 0, 4, 4, 4, 1, 1, 1, 0, 0, 2, 1, 2, 1, 4, 4, 0, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 2, 4, 4, 6, 1, 1, 2, 6, 6, 0, 4, 4, 7, 1, 1, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 30, 1459, 81, 1126, 203, 1070, 13625, 1188, 18609, 203, 1070, 1933, 1188, 28667, 203, 1070, 7138, 1188, 7138, 203, 1070, 31074, 1188, 8241, 203, 1070, 322, 7221, 1188, 8482, 619, 34785, 203, 1070, 13134, 32, 1160, 81, 8319, 1188, 5683, 81, 858, 81, 2998, 203, 465, 45977, 203, 465, 6436, 619, 2065, 203, 465, 5237, 203, 465, 322, 7221, 203, 1070, 4942, 1188, 20980, 1405, 81, 3364, 30, 3641, 28173, 30, 39438, 42027, 30, 44869, 81, 4924, 30, 506, 3459, 30, 506, 4683, 30, 766, 284, 1236, 9302, 5751, 81, 39312, 30, 14369, 81, 1407, 61, 81, 21119, 30, 766, 284, 8934, 57, 13829, 81, 20009, 30, 8934, 1068, 68, 726, 81, 20009, 30, 26211, 38713, 81, 20009, 30, 11887, 15895, 81, 613, 30, 358, 1438, 81, 3285, 81, 613, 30, 766, 284, 30307, 81, 613, 30, 1505, 81, 1112, 30, 1897, 74, 30, 309, 10575, 81, 12525, 81, 339, 46597, 1349, 203, 1070, 4942, 1188, 26211, 38713, 619, 26211, 38713, 81, 30496, 203, 1070, 4942, 1188, 8934, 57, 13829, 619, 8934, 57, 13829, 81, 30496, 203, 1070, 16764, 1588, 364, 1188, 13316, 203, 54, 32603, 81, 70, 280, 225, 36, 34, 203, 20178, 4959, 280, 3177, 203, 3459, 81, 7483, 58, 4758, 69, 280, 225, 36, 39, 203, 1407, 61, 81, 18362, 280, 225, 38, 6019, 203, 3459, 81, 8346, 81, 21770, 280, 225, 35, 34, 34, 34, 34, 203, 3459, 81, 43160, 69, 280, 225, 39, 203, 4683, 81, 43160, 69, 280, 225, 37, 203, 22756, 280, 5461, 2139, 7945, 203, 22756, 81, 59, 280, 225, 34, 203, 589, 617, 850, 81, 2536, 81, 4313, 26, 83, 81, 2446, 98, 81, 2536, 30, 312, 81, 8644, 47, 35909, 711, 284, 595, 280, 225, 34, 284, 7937, 81, 18455, 280, 3177, 284, 436, 415, 426, 328, 312, 81, 2446, 98, 81, 2536, 44, 291, 623, 45977, 32, 1676, 26, 325, 426, 30, 330, 100, 370, 312, 81, 8644, 27, 619, 415, 414, 44, 324, 436, 6233, 482, 328, 415, 414, 44, 400, 6233, 482, 280, 6233, 482, 32, 7201, 922, 5729, 346, 400, 415, 646, 6233, 482, 556, 358, 1438, 81, 3285, 81, 613, 32, 2872, 26, 17333, 711, 528, 4036, 400, 4348, 6233, 482, 77, 34, 79, 610, 44869, 81, 4924, 44, 528, 415, 44191, 4959, 44, 715, 595, 1454, 225, 35, 715, 415, 595, 848, 225, 37, 34, 34, 44, 1014, 1626, 528, 415, 7937, 81, 18455, 44, 715, 7937, 81, 18455, 280, 3177, 715, 6761, 1665, 30, 1665, 30, 1665, 528, 4036, 400, 1596, 44, 528, 415, 494, 30, 561, 481, 30, 22203, 34824, 280, 30307, 81, 613, 32, 2998, 26, 17333, 27, 400, 2940, 44, 528, 1459, 440, 3817, 1628, 2179, 821, 1628, 44, 7325, 101, 16054, 1643, 26, 715, 26542, 26, 17333, 3662, 803, 47, 3731, 32, 8228, 528, 829, 528, 4036, 400, 7937, 81, 18455, 280, 2933, 400, 6761, 415, 494, 30, 561, 481, 30, 13316, 26, 414, 34824, 27, 291, 6761, 1665, 30, 1665, 30, 1665, 203, 589, 617, 850, 81, 2536, 26, 83, 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, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 2, 2, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 4, 2, 2, 3, 3, 3, 0, 1, 1, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 5, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 5, 10, 11, 10, 11, 11, 10, 10, 12, 12, 10, 11, 11, 10, 8, 8, 10, 5, 5, 5, 7, 8, 7, 7, 8, 7, 7, 7, 11, 10, 10, 15, 14, 15, 14, 13, 12, 8, 8, 9, 11, 12, 10, 10, 13, 13, 13, 13, 13, 12, 13, 12, 13, 12, 9, 9, 9, 9, 10, 13, 12, 13, 12, 11, 11, 12, 12, 10, 10, 10, 12, 13, 12, 12, 12, 15, 15, 16, 13, 13, 14, 15, 15, 16, 16, 16, 14, 14, 14, 11, 11, 12, 13, 13, 12, 12, 12, 16, 16, 15, 15, 13, 13, 15, 16, 16, 16, 16, 11, 11, 8, 8, 9, 9, 9, 14, 13, 13, 14, 13, 13, 14, 12, 12, 15, 15, 14, 15, 14, 15, 14, 9, 9, 10, 10, 10, 14, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 16, 16, 16, 18, 19, 18, 14, 15, 17, 16, 17, 14, 14, 11, 11, 8, 8, 11, 11, 10, 10, 8, 8, 10, 12, 11, 11, 12, 11, 11, 13, 14, 14, 13, 4, 4, 6, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 5, 5, 3, 3, 0, 6, 6, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 8, 8, 1, 1, 0, 9, 9, 0, 10, 10, 0, 0, 11, 11, 11, 11, 0, 0, 0, 11, 11, 0, 11, 11, 0, 11, 11, 0, 0, 11, 11, 0, 11, 11, 0, 11, 11, 15, 11, 0, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 11, 11, 20, 11, 0, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 11, 11, 0, 0, 0, 11, 11, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 11, 11, 31, 11, 0, 0, 11, 11, 0, 0, 11, 11, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 12, 12, 0, 3, 3, 2, 2, 2, 0, 13, 13, 13, 13, 0, 0, 3, 3, 2, 2, 2, 2, 0, 14, 14, 0, 0, 14, 14, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 24, 24, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 24, 24, 0, 0, 2, 4, 4, 0, 0, 0, 0, 4, 4, 2, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 5, 5, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 0, 0, 2, 0, 1, 1, 2, 2, 4, 4, 4, 0, 1, 0, 0, 0, 0, 0, 2, 3, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 3, 0, 1, 1, 1, 1, 3, 3, 5, 5, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 3, 0, 2, 2, 1, 1, 2, 2, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 5, 5, 0, 1, 1, 1, 1, 0, 25, 25, 1, 1, 1, 2, 1, 1 ]
[ 465, 17735, 37, 203, 465, 456, 2593, 32, 916, 203, 465, 5167, 203, 1070, 48885, 39, 1188, 10701, 2852, 203, 823, 13290, 6861, 26, 30609, 32, 67, 3021, 711, 284, 4082, 10760, 280, 10701, 2852, 32, 978, 12561, 10760, 26, 466, 27, 284, 2287, 2900, 10760, 280, 10701, 2852, 32, 978, 12561, 10760, 26, 466, 27, 284, 665, 1156, 1664, 3207, 784, 30, 2075, 711, 291, 2599, 26, 7495, 6861, 30, 630, 14585, 1664, 3207, 2184, 710, 2544, 3490, 291, 630, 32, 3419, 280, 2075, 710, 3419, 785, 291, 630, 32, 770, 81, 1070, 280, 2075, 710, 770, 31, 1070, 785, 291, 630, 32, 770, 81, 452, 280, 2075, 710, 770, 31, 452, 785, 291, 630, 32, 1199, 1215, 280, 2075, 710, 4603, 31, 983, 785, 284, 665, 5822, 26, 784, 30, 2340, 711, 291, 1044, 1099, 359, 280, 330, 24258, 33, 39, 32, 34, 308, 2839, 18389, 225, 40, 32, 35, 27, 32381, 33, 39, 37, 41, 32, 37, 40, 308, 31966, 30, 2124, 26297, 27, 11766, 33, 38, 35, 32, 34, 32, 36, 36, 36, 42, 32, 34, 19495, 33, 39, 37, 41, 32, 37, 40, 25, 291, 4826, 280, 5053, 1240, 31, 6143, 950, 1044, 1099, 359, 111, 291, 1984, 280, 330, 641, 555, 1499, 32, 88, 417, 83, 32, 1299, 33, 1055, 32, 1317, 49, 1637, 47, 15701, 1610, 24, 2851, 81, 1204, 965, 6132, 101, 24, 770, 6132, 101, 25, 904, 308, 784, 32, 3419, 30, 2340, 27, 291, 540, 280, 5167, 32, 371, 26, 965, 30, 4826, 47, 5078, 27, 291, 3693, 280, 456, 2593, 32, 916, 32, 1070, 800, 26, 100, 32, 1286, 27, 291, 1519, 280, 3056, 916, 33, 1548, 306, 1274, 13283, 823, 79, 306, 359, 33, 671, 33, 83, 77, 1206, 26, 4752, 4800, 823, 30, 313, 419, 673, 690, 9495, 81, 1566, 2131, 79, 306, 878, 346, 523, 330, 766, 3083, 3056, 916, 33, 1548, 306, 1274, 13283, 823, 79, 306, 359, 33, 671, 306, 1275, 10820, 1617, 523, 330, 766, 3083, 3056, 916, 33, 1548, 306, 1274, 13283, 823, 79, 306, 349, 306, 878, 346, 523, 330, 766, 3083, 3056, 916, 33, 1548, 306, 1274, 13283, 823, 79, 306, 349, 33, 83, 10820, 6928, 523, 330, 766, 3083, 3056, 916, 33, 1548, 306, 1274, 13283, 823, 79, 306, 359, 33, 671, 13283, 1621, 11491, 83, 10820, 6928, 25, 291, 5081, 280, 3693, 32, 16689, 26, 983, 27, 291, 5081, 280, 428, 91, 32, 3227, 463, 641, 555, 1499, 32, 88, 417, 83, 32, 1299, 33, 88, 417, 83, 33, 2242, 33, 11430, 33, 102, 4412, 81, 9732, 32, 3072, 370, 6470, 5979, 683, 436, 595, 328, 5081, 79, 291, 8001, 280, 1605, 291, 436, 595, 30, 343, 328, 10703, 26, 1294, 711, 324, 415, 330, 435, 2336, 367, 25, 328, 343, 44, 400, 999, 15745, 280, 330, 435, 2336, 367, 25, 324, 4348, 3056, 13230, 83, 7404, 328, 343, 44, 400, 999, 15745, 280, 5081, 77, 91, 474, 225, 35, 79, 324, 4348, 330, 1006, 25, 328, 343, 44, 400, 999, 15745, 280, 5081, 77, 91, 79, 324, 415, 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, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 7, 6, 7, 7, 7, 6, 7, 6, 2, 2, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 7, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 9, 8, 10, 10, 4, 4, 7, 8, 6, 6, 7, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 6, 6, 7, 9, 9, 9, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 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, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 10, 10, 10, 10, 8, 9, 9, 7, 4, 4, 6, 6, 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, 7, 10, 9, 10, 8, 8, 8, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 9, 10, 8, 4, 4, 6, 6, 10, 9, 10, 8, 9, 9, 8, 10, 9, 10, 8, 4, 4, 6, 6, 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, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 6, 6, 10, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 7, 8, 8, 8, 7, 4, 4, 6, 6, 4, 4, 5, 6, 6, 5, 5, 7, 8, 7, 5, 5, 7, 10, 10, 10, 10, 8, 8, 7, 7, 7, 11, 10, 10, 12, 12, 12, 12, 7, 7, 8, 11, 11, 11, 9, 9, 8, 8, 8, 12, 11, 11, 12, 14, 13, 13, 14, 12, 7, 7, 8, 11, 11, 9, 9, 8, 8, 8, 12, 11, 11, 12, 13, 12, 6, 6, 7 ]
[ 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 1, 2, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 4, 4, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 4, 4, 3, 2, 1, 2, 2, 2, 3, 3, 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, 2, 4, 4, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 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, 2, 2, 2, 0, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 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, 2, 2, 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, 1, 1, 1, 1, 2, 2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 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, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 4, 4, 9, 1, 1, 9, 9, 1, 1, 1, 9, 9, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 4, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 5, 1, 2, 1, 1, 5, 5, 5, 0, 0, 0, 2, 2, 2, 5, 5, 1 ]
[ 465, 16539, 203, 465, 5237, 203, 465, 3995, 203, 589, 1149, 81, 4882, 26, 784, 81, 858, 81, 8022, 30, 5911, 30, 23735, 81, 7389, 711, 284, 4774, 280, 428, 784, 81, 858, 81, 8022, 30, 11363, 668, 31, 858, 31, 4243, 31, 2585, 370, 11363, 1174, 370, 330, 6386, 370, 324, 11363, 19050, 31, 7389, 370, 596, 26, 19050, 81, 7389, 2177, 284, 5911, 81, 626, 280, 17359, 32, 2524, 14969, 45108, 2473, 1643, 26, 102, 27, 436, 273, 328, 5911, 27, 284, 415, 5911, 81, 626, 44, 291, 4774, 32, 1689, 26, 3963, 81, 626, 474, 28948, 77, 32, 26392, 284, 2164, 280, 16539, 32, 45606, 26, 324, 4774, 30, 12532, 47, 27958, 32, 18165, 30, 16154, 47, 27958, 32, 18165, 27, 284, 12532, 30, 16154, 280, 2164, 32, 508, 48275, 346, 284, 415, 16154, 44, 291, 3636, 26405, 440, 10203, 1048, 1688, 3491, 96, 20, 474, 2164, 32, 8228, 27, 284, 1056, 280, 12532, 32, 2998, 26, 84, 10255, 96, 683, 284, 1056, 280, 428, 101, 436, 309, 328, 1056, 415, 309, 79, 284, 415, 2069, 26, 1267, 27, 333, 225, 36, 44, 291, 3636, 26405, 440, 10203, 631, 7002, 3312, 14021, 308, 9294, 12797, 2296, 1643, 26, 324, 2069, 26, 1267, 2610, 284, 442, 1056, 203, 589, 1505, 81, 297, 81, 1113, 668, 81, 1028, 26, 4021, 265, 30, 8928, 711, 284, 1201, 2069, 26, 4021, 265, 27, 333, 2069, 26, 3222, 265, 27, 284, 1201, 2069, 26, 470, 26, 3222, 265, 490, 610, 2069, 26, 3222, 265, 27, 284, 17215, 81, 266, 81, 3222, 265, 280, 301, 101, 44, 595, 436, 595, 30, 309, 328, 10703, 26, 3222, 265, 4370, 284, 436, 309, 35, 30, 309, 36, 328, 8529, 26, 4021, 265, 30, 35759, 77, 35, 10056, 711, 291, 1201, 17215, 81, 266, 81, 3222, 265, 77, 101, 35, 79, 333, 17215, 81, 266, 81, 3222, 265, 77, 101, 36, 614, 308, 400, 17246, 12767, 2670, 2149, 328, 8928, 1149, 5327, 96, 25, 400, 330, 3952, 265, 44, 43240, 96, 6872, 265, 44, 19553, 1643, 26, 101, 36, 30, 309, 35, 30, 8928, 30, 35759, 490, 203, 589, 2575, 2262, 284, 630, 81, 858, 81, 8022, 30, 280, 5237, 32, 6118, 77, 35, 10056, 284, 9124, 280, 3995, 32, 21378, 26, 35, 30, 225, 36, 1115, 225, 37, 36, 429, 225, 35, 27, 284, 1149, 81, 658, 81, 2142, 280, 1149, 81, 4882, 26, 784, 81, 858, 81, 8022, 30, 2107, 28295, 2188, 9124, 27, 284, 1149, 81, 8268, 81, 3963, 280, 1149, 81, 4882, 26, 784, 81, 858, 81, 8022, 30, 2107, 28295, 370, 330, 42110, 2188, 9124, 27, 284, 1149, 81, 464, 280, 1149, 81, 4882, 26, 784, 81, 858, 81, 8022, 30, 5518, 9124, 27, 284, 1505, 81, 297, 81, 1113, 668, 81, 1028, 26, 668, 81, 8268, 81, 3963, 30, 1149, 81, 464, 27, 284, 1505, 81, 297, 81, 1113, 668, 81, 1028, 26, 668, 81, 658, 81, 2142, 30, 1149, 81, 8268, 81, 3963, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 5237, 32, 4775, 26, 1831, 1157, 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, 1, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 7, 7, 5, 7, 8, 8, 8, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6, 10, 10, 9, 8, 9, 8, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 3, 3, 3, 7, 8, 7, 9, 9, 9, 8, 8, 10, 10, 10, 2, 2, 4, 4, 6, 7, 6, 6, 6, 6, 6, 7, 9, 8, 9, 6, 6, 7, 9, 8, 9, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 2, 2, 3, 3, 3, 3, 5, 7, 10, 10, 10, 10, 11, 10, 8, 8, 9, 10, 7, 2, 2, 4, 4, 6, 7, 6, 8, 8, 9, 8, 2, 2, 4, 4, 6, 5, 6, 6, 6, 5, 6, 5, 2, 2, 3, 6, 7, 6, 4, 4, 5, 3, 3, 3, 5, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 9, 9, 11, 12, 11, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 6, 7, 7, 6, 4, 4, 6, 7, 7, 6, 2, 2, 3, 6, 8, 8, 9, 9, 8, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 7, 6, 6, 5, 6, 7, 7, 6, 6, 8, 9, 9, 8, 2, 2, 3, 5, 4, 4, 5, 3, 3, 5, 6, 6, 5, 5, 6, 8, 7, 5, 3, 3, 5, 8, 8, 8, 8, 8, 7, 8, 8, 7, 6, 6, 8, 8, 8, 8, 8, 7, 8, 8, 7, 5, 6, 6, 11, 11, 11, 11, 11, 11, 11, 12, 11, 9, 9, 11, 11, 11, 11, 12, 11, 11, 11, 11, 9, 8, 9, 9, 8, 8, 9, 8, 8, 8, 8, 8, 0, 1, 1, 2, 1, 1, 6, 6, 6, 6, 5, 4, 4, 6, 7, 5, 7, 6, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 9, 8, 8, 9, 9, 7, 7, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 7, 7, 7, 7, 7, 6, 6, 9, 9, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 7, 7, 7, 7, 7, 6, 6, 9, 9, 7, 9, 9, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 7, 7, 7, 7, 7, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 6, 6, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 7, 7, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 2, 1, 1, 5, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 5, 5, 5, 5, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 2, 4, 4, 0, 0, 1, 2, 2, 2, 2, 2, 3, 2, 4, 4, 8, 1, 1, 1, 1, 1, 2, 8, 8, 8, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 9, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 4, 4, 3, 0, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 3, 0, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 0, 5, 5, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 3, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 0, 2, 1, 0, 1, 0 ]
[ 465, 15798, 203, 1070, 35674, 32, 35296, 32, 2282, 32, 1170, 1188, 4517, 203, 1070, 35674, 32, 2282, 32, 11452, 1188, 27731, 44809, 30, 766, 275, 3139, 8098, 9005, 984, 203, 1070, 1695, 1188, 47214, 3876, 36, 1484, 69, 4452, 369, 203, 823, 46588, 26, 15481, 45210, 36, 1484, 69, 4452, 369, 711, 284, 665, 894, 81, 16996, 81, 25071, 26, 784, 711, 291, 5398, 280, 630, 32, 5350, 291, 5398, 32, 371, 440, 525, 555, 98, 6050, 4676, 32, 1676, 17889, 32, 352, 33, 422, 85, 31, 4066, 33, 283, 31, 4137, 31, 38580, 1353, 33, 19097, 31, 22545, 31, 25071, 31, 12196, 33, 16996, 31, 25071, 29594, 291, 630, 32, 6549, 26, 784, 32, 297, 81, 2543, 81, 2689, 26, 1083, 32, 779, 30, 313, 18069, 1431, 2131, 284, 665, 894, 81, 16996, 81, 25071, 81, 87, 593, 26, 784, 711, 291, 5398, 280, 630, 32, 5350, 291, 5398, 32, 371, 440, 525, 555, 98, 6050, 4676, 32, 1676, 17889, 32, 352, 33, 422, 85, 31, 4066, 33, 283, 31, 4137, 31, 38580, 1353, 33, 17529, 299, 31, 2061, 271, 2138, 31, 1007, 5538, 31, 16003, 33, 10705, 31, 30250, 31, 4280, 31, 5379, 33, 422, 85, 31, 96, 350, 508, 31, 10705, 31, 30250, 33, 12279, 31, 8416, 33, 16996, 31, 25071, 29594, 284, 665, 894, 81, 16996, 81, 25071, 81, 15680, 26, 784, 711, 291, 5398, 280, 630, 32, 5350, 291, 5398, 32, 371, 440, 525, 555, 98, 6050, 4676, 32, 1676, 17889, 32, 352, 33, 422, 85, 31, 4066, 33, 283, 31, 4137, 31, 38580, 1353, 33, 17529, 299, 31, 2061, 271, 2138, 31, 1007, 5538, 31, 16003, 33, 10705, 31, 30250, 31, 4280, 31, 5379, 33, 422, 85, 31, 96, 350, 508, 31, 10705, 31, 30250, 33, 15680, 33, 16996, 31, 25071, 29594, 284, 665, 894, 81, 23082, 26, 784, 711, 291, 5398, 280, 630, 32, 5350, 291, 5398, 32, 371, 440, 525, 555, 98, 6050, 4676, 32, 1676, 17889, 32, 352, 33, 422, 85, 31, 4066, 33, 283, 31, 4137, 31, 38580, 1353, 33, 17529, 299, 31, 2061, 271, 2138, 31, 1007, 5538, 31, 16003, 33, 10705, 31, 30250, 31, 4280, 31, 5379, 33, 422, 85, 31, 96, 350, 508, 31, 10705, 31, 30250, 33, 23082, 29594, 284, 665, 894, 81, 15785, 81, 24549, 26, 784, 711, 291, 5398, 280, 630, 32, 5350, 291, 5398, 32, 371, 440, 525, 555, 98, 6050, 4676, 32, 1676, 17889, 32, 352, 33, 422, 85, 31, 4066, 33, 283, 31, 4137, 31, 38580, 1353, 33, 17529, 299, 31, 2061, 271, 2138, 31, 1007, 5538, 31, 16003, 33, 17535, 33, 89, 24549, 31, 17535, 33, 15785, 31, 89, 24549, 29594, 291, 630, 32, 6549, 26, 784, 32, 297, 81, 2543, 81, 2689, 26, 1083, 32, 12053, 81, 4620, 758, 30, 313, 507, 32, 7830, 31, 1501, 31, 16243, 2131, 291, 630, 32, 6549, 26, 784, 32, 297, 81, 2543, 81, 2689, 26, 1083, 32, 74, 4065, 30, 27676, 507, 13283, 314, 1057, 1286, 2185, 7427, 15416, 37872, 507, 33, 507, 77, 36, 11491, 507, 77, 36, 11491, 507, 33, 507 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 2, 1, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 4, 4, 7, 8, 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, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 11, 10, 11, 9, 9, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 4, 4, 7, 8, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 4, 4, 7, 8, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 4, 4, 7, 8, 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, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 4, 4, 7, 8, 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, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 11, 10, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 11, 10, 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 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 2, 2, 5, 2, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 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 ]
[ 465, 225, 9226, 203, 465, 225, 9226, 32, 1356, 32, 3399, 203, 465, 225, 6436, 203, 823, 2108, 2136, 26, 9263, 32, 2136, 711, 284, 665, 1156, 1664, 3207, 324, 630, 30, 2935, 30, 2484, 30, 1780, 30, 3400, 47, 9263, 32, 2044, 2731, 30, 324, 1334, 4310, 40, 34, 34, 30, 225, 38, 34, 34, 471, 1418, 47, 9263, 32, 5807, 81, 13217, 81, 22216, 324, 8063, 291, 9226, 32, 2136, 3667, 1664, 3207, 784, 30, 2935, 30, 2484, 30, 1780, 30, 3400, 30, 1334, 30, 1418, 27, 284, 665, 2704, 4173, 1669, 26, 784, 30, 1692, 711, 291, 630, 32, 9412, 346, 203, 823, 2108, 3669, 26, 9263, 32, 3669, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 711, 291, 9226, 32, 3669, 3667, 1664, 3207, 784, 30, 2935, 30, 429, 35, 30, 1334, 4310, 40, 34, 34, 30, 225, 38, 34, 34, 490, 291, 630, 32, 1580, 280, 9226, 32, 1356, 32, 3399, 32, 11689, 8511, 26, 784, 27, 203, 202, 101, 2265, 280, 9226, 32, 1705, 43523, 346, 291, 309, 2265, 32, 1103, 26, 784, 32, 1580, 30, 225, 35, 30, 9226, 32, 42833, 27, 291, 630, 32, 885, 43523, 26, 101, 2265, 27, 291, 706, 35, 280, 225, 36, 3424, 10337, 32, 1295, 28, 10337, 32, 16251, 26, 36, 28, 35, 34, 34, 4165, 36, 34, 34, 32, 291, 706, 35, 32, 3229, 280, 308, 35, 34, 34, 30, 225, 36, 27, 291, 706, 35, 6894, 35, 79, 280, 6436, 32, 7102, 26, 605, 35, 6894, 34, 1130, 291, 24146, 35, 280, 9226, 32, 1356, 32, 3399, 32, 8367, 11125, 26, 605, 35, 30, 18910, 1057, 14863, 7778, 483, 370, 20347, 1057, 6555, 370, 10029, 1057, 7207, 370, 891, 47, 35, 27, 291, 706, 35, 280, 225, 36, 3424, 10337, 32, 1295, 28, 10337, 32, 16251, 26, 36, 28, 35, 34, 34, 4165, 36, 34, 34, 32, 291, 706, 35, 32, 3229, 280, 308, 35, 34, 34, 30, 36, 27, 291, 706, 35, 6894, 35, 79, 280, 6436, 32, 4952, 26, 605, 35, 6894, 34, 1130, 291, 5430, 280, 9226, 32, 1356, 32, 3399, 32, 8367, 1811, 26, 605, 35, 30, 18910, 47, 330, 4023, 7064, 370, 20347, 1057, 1092, 683, 291, 312, 280, 9226, 32, 1356, 32, 3399, 32, 11689, 8519, 2009, 25165, 35, 30, 5430, 22353, 3406, 1979, 392, 313, 74, 27337, 392, 313, 75, 27337, 657, 291, 630, 32, 1580, 32, 2886, 26, 83, 27, 203, 589, 1156, 30675, 2262, 284, 1123, 280, 9226, 32, 4997, 5291, 1290, 346, 284, 8888, 280, 2108, 2136, 26, 2521, 30, 429, 35, 30, 313, 1006, 36674, 657, 284, 8888, 36, 280, 2108, 3669, 26, 4463, 27, 284, 8888, 32, 4311, 26, 1815, 27, 284, 1123, 32, 4358, 7497, 346, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 1156, 30675, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 0, 1, 1, 1, 2, 3, 2, 3, 0, 1, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 6, 7, 7, 4, 4, 4, 5, 7, 7, 7, 6, 6, 7, 7, 7, 6, 4, 5, 7, 6, 7, 7, 7, 7, 7, 4, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 7, 7, 7, 9, 7, 7, 8, 10, 10, 10, 9, 9, 10, 10, 10, 9, 4, 4, 7, 8, 6, 6, 10, 11, 9, 10, 8, 9, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 4, 4, 8, 7, 8, 7, 9, 8, 9, 7, 7, 8, 7, 7, 8, 9, 7, 4, 4, 7, 8, 8, 7, 8, 8, 7, 4, 4, 7, 6, 6, 10, 10, 11, 10, 11, 8, 11, 10, 11, 10, 12, 11, 12, 12, 12, 10, 8, 8, 8, 8, 4, 4, 8, 7, 8, 6, 6, 8, 8, 8, 7, 7, 8, 7, 4, 4, 8, 7, 8, 7, 6, 6, 8, 9, 8, 10, 10, 9, 10, 9, 4, 4, 7, 6, 6, 10, 11, 9, 10, 8, 9, 9, 8, 9, 9, 8, 8, 9, 11, 11, 11, 11, 8, 9, 11, 11, 8, 9, 11, 11, 10, 9, 10, 8, 4, 4, 7, 6, 6, 10, 10, 11, 10, 11, 8, 11, 10, 11, 10, 12, 11, 12, 12, 12, 10, 8, 8, 8, 8, 4, 4, 8, 7, 8, 6, 6, 8, 8, 8, 7, 8, 7, 4, 4, 8, 7, 8, 7, 6, 6, 8, 9, 8, 10, 10, 9, 10, 9, 4, 4, 6, 6, 10, 11, 9, 10, 8, 9, 9, 8, 9, 9, 8, 8, 9, 9, 11, 11, 11, 8, 9, 11, 11, 4, 4, 6, 6, 10, 11, 9, 10, 8, 9, 9, 8, 10, 10, 9, 9, 9, 10, 10, 10, 8, 10, 10, 10, 8, 10, 10, 10, 4, 4, 8, 9, 7, 8, 7, 8, 7, 0, 1, 1, 2, 2, 1, 1, 4, 4, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 6, 7, 6, 6, 8, 6, 6, 8, 8, 8, 2, 2, 5, 4, 4, 6, 6, 7, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 5, 6, 6, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 4, 0, 2, 2, 2, 0, 3, 3, 1, 2, 0, 1, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 0, 2, 2, 2, 2, 2, 2, 11, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 13, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 4, 4, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 2, 2, 3, 3, 3, 2, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 5, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 4, 4, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 3, 2, 4, 4, 0, 0, 4, 0, 0, 0, 0, 2, 1, 0, 0, 1, 4, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 2, 1, 7, 1, 2, 0, 9, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 4, 4, 0, 0, 2, 0, 0, 1, 1, 1, 2, 3, 2, 4, 4, 0, 0, 4, 0, 0, 0, 0, 2, 1, 0, 0, 1, 4, 1, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 2, 1, 5, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 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 ]
[ 465, 5237, 203, 465, 6436, 203, 465, 1133, 203, 465, 2322, 203, 465, 12460, 203, 465, 19571, 203, 465, 22977, 203, 465, 9025, 520, 203, 465, 7060, 203, 465, 11412, 203, 465, 310, 491, 550, 203, 1070, 638, 1188, 9025, 4228, 46078, 619, 312, 56, 203, 1070, 638, 1188, 9025, 7099, 2338, 203, 1070, 12500, 32, 696, 360, 1188, 2290, 203, 465, 12500, 32, 17449, 619, 5743, 203, 465, 18414, 32, 716, 619, 309, 2338, 203, 1070, 18414, 1188, 456, 19218, 619, 2317, 203, 1070, 18414, 32, 20847, 1188, 7291, 203, 465, 13134, 32, 33638, 203, 465, 13134, 32, 286, 20103, 203, 465, 13134, 32, 24260, 203, 589, 7060, 81, 4531, 26, 7295, 30, 3118, 711, 284, 1459, 463, 4282, 21394, 30249, 29, 53, 19, 429, 24940, 683, 284, 2322, 32, 2946, 440, 270, 618, 429, 2500, 1249, 2248, 657, 284, 5237, 32, 4775, 26, 34, 27, 203, 7295, 32, 7295, 26, 7295, 32, 14840, 1844, 30, 7060, 81, 4531, 27, 203, 4021, 6266, 1669, 280, 225, 34, 32, 34, 39, 34, 203, 4021, 6266, 3533, 280, 225, 34, 32, 34, 39, 34, 203, 17685, 280, 225, 34, 32, 34, 34, 34, 34, 34, 34, 34, 35, 203, 823, 831, 5804, 44, 284, 665, 1156, 1664, 3207, 784, 30, 1593, 30, 1410, 30, 831, 711, 291, 630, 32, 74, 280, 1593, 291, 630, 32, 75, 280, 1410, 291, 630, 32, 93, 280, 831, 284, 665, 41947, 26, 784, 30, 894, 5197, 711, 291, 310, 8033, 280, 6436, 32, 5665, 26, 784, 32, 75, 547, 3229, 77, 34, 79, 291, 1410, 4496, 280, 308, 8018, 32, 2087, 427, 26, 784, 32, 74, 30, 894, 5197, 32, 12091, 26, 35, 30, 894, 5197, 32, 3229, 77, 34, 5727, 330, 87, 34986, 12097, 70, 291, 595, 5206, 280, 6436, 32, 1132, 373, 26, 75, 4496, 27, 291, 447, 280, 6436, 32, 9880, 1162, 96, 8033, 33702, 291, 436, 595, 328, 2155, 26, 96, 8033, 711, 324, 447, 77, 91, 79, 280, 6436, 32, 38094, 26, 784, 32, 75, 77, 91, 5206, 77, 34, 1674, 34, 44, 784, 32, 93, 3212, 610, 595, 5594, 34, 997, 3229, 77, 34, 79, 517, 1897, 26, 784, 32, 93, 27, 291, 442, 308, 10337, 32, 29957, 26, 66, 471, 447, 27, 203, 589, 18602, 4672, 26, 18838, 30, 18602, 620, 30, 894, 5197, 711, 284, 5881, 284, 1348, 667, 438, 1654, 619, 312, 7767, 372, 5257, 17717, 32, 284, 23005, 14033, 69, 44, 291, 429, 18602, 44, 351, 312, 18602, 1300, 432, 827, 13134, 32, 33638, 32, 36886, 556, 831, 5804, 308, 2187, 328, 458, 4253, 27, 556, 13134, 32, 24260, 32, 6096, 26844, 15401, 556, 13134, 32, 24260, 32, 15316, 25263, 299, 15401, 225, 556, 13134, 32, 24260, 32, 9113, 33781, 15401, 291, 429, 18602, 620, 44, 264, 313, 33638, 20, 556, 313, 44980, 20, 556, 313, 3855, 1444, 21437, 20, 556, 313, 11260, 9377, 299, 20, 556, 313, 28943, 269, 268, 307, 20, 291, 429, 894, 5197, 44, 351, 312, 2787, 4026, 308, 10337, 1417, 27, 284, 13070, 42283, 44, 291, 429, 559, 44, 1468, 443, 2484 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 1, 1, 4, 4, 2, 2, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 3, 4, 2, 2, 3, 0, 1, 1, 1, 1, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 6, 5, 0, 4, 3, 4, 3, 5, 4, 5, 5, 3, 3, 4, 4, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 0, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 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, 2, 2, 3, 4, 5, 4, 4, 5, 4, 3, 3, 7, 6, 6, 10, 11, 10, 12, 11, 12, 10, 9, 7, 8, 7, 4, 4, 7, 6, 6, 11, 10, 11, 11, 10, 12, 11, 12, 10, 10, 13, 12, 13, 12, 13, 12, 12, 15, 14, 15, 13, 14, 13, 10, 12, 12, 12, 8, 4, 4, 7, 6, 6, 8, 9, 9, 8, 9, 9, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 9, 4, 4, 5, 5, 5, 7, 8, 8, 7, 5, 5, 9, 10, 9, 8, 8, 14, 15, 14, 18, 17, 18, 16, 19, 19, 18, 19, 18, 19, 18, 20, 19, 20, 17, 15, 15, 14, 13, 12, 12, 10, 11, 10, 9, 9, 11, 13, 12, 13, 11, 4, 4, 5, 9, 8, 9, 8, 9, 8, 6, 6, 0, 1, 1, 2, 2, 3, 2, 2, 3, 2, 2, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 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, 8, 8, 0, 9, 9, 0, 10, 10, 0, 0, 0, 11, 11, 11, 11, 0, 0, 3, 3, 2, 0, 12, 12, 12, 12, 0, 0, 0, 13, 13, 1, 2, 2, 13, 13, 0, 14, 14, 0, 2, 1, 1, 0, 15, 15, 0, 2, 1, 1, 2, 0, 16, 16, 16, 16, 0, 3, 3, 0, 17, 17, 1, 2, 17, 17, 0, 18, 18, 1, 2, 0, 19, 19, 1, 2, 2, 0, 20, 20, 1, 2, 0, 21, 21, 1, 1, 2, 1, 2, 2, 2, 21, 21, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 26, 26, 1, 26, 26, 26, 0, 1, 1, 1, 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, 3, 3, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 3, 2, 3, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 4, 4, 4, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 5, 0, 0, 2, 1, 1, 1, 1, 1, 0, 27, 27, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 27, 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 ]
[ 465, 5237, 203, 5177, 37, 280, 3177, 203, 325, 5237, 32, 1648, 81, 1338, 77, 34, 79, 2377, 225, 37, 44, 19430, 37, 280, 2933, 45, 15390, 280, 596, 45, 707, 1190, 100, 280, 21749, 45, 1946, 280, 629, 203, 465, 2322, 203, 465, 316, 203, 1070, 14208, 38, 1188, 39231, 203, 1070, 5296, 1188, 13663, 102, 385, 7550, 203, 1070, 5296, 1188, 2197, 26896, 4280, 203, 1070, 5296, 1188, 2145, 4280, 203, 1070, 5296, 1188, 273, 25756, 203, 1070, 5296, 32, 1094, 1188, 6324, 203, 1070, 5624, 687, 1188, 1359, 30, 4082, 30, 27775, 4280, 203, 1070, 3826, 9003, 1188, 622, 81, 7381, 203, 2035, 280, 330, 525, 555, 5224, 19252, 5782, 32, 508, 7404, 203, 20331, 502, 280, 330, 525, 555, 5224, 19252, 5782, 32, 508, 33, 5159, 31, 1286, 33, 11255, 33, 36, 34, 35, 39, 33, 34, 38, 33, 5224, 19252, 5782, 31, 36, 34, 35, 41, 31, 106, 32, 3072, 25, 203, 589, 1487, 81, 30122, 26, 965, 30, 5279, 265, 47, 2521, 30, 707, 11731, 47, 2700, 711, 284, 4082, 32, 1338, 346, 284, 415, 5279, 265, 44, 291, 706, 280, 13663, 102, 385, 7550, 32, 4984, 1637, 26, 965, 30, 4826, 12516, 8804, 265, 950, 5279, 265, 12665, 605, 284, 813, 44, 291, 706, 280, 13663, 102, 385, 7550, 32, 4984, 1637, 26, 965, 547, 605, 284, 415, 707, 11731, 44, 291, 706, 280, 2197, 26896, 4280, 32, 311, 11731, 26, 605, 27, 284, 31628, 280, 39231, 26, 605, 30, 313, 916, 39, 1356, 392, 645, 81, 8644, 347, 3310, 31, 42, 657, 284, 442, 31628, 203, 589, 2575, 668, 26, 1094, 711, 284, 4082, 32, 1338, 346, 284, 1623, 668, 280, 1149, 346, 284, 1623, 668, 32, 1689, 26, 1097, 26, 3237, 47, 1094, 32, 3237, 30, 28242, 502, 47, 20331, 502, 30, 1780, 347, 16472, 302, 392, 2125, 347, 668, 81, 464, 392, 656, 1984, 47, 2035, 34512, 3153, 33, 391, 5782, 370, 23189, 47, 371, 81, 7381, 463, 464, 370, 2267, 47, 1815, 2610, 284, 1623, 668, 32, 1689, 26, 1097, 26, 3237, 47, 1094, 32, 3237, 30, 28242, 502, 47, 20331, 502, 30, 1780, 347, 1465, 91, 689, 302, 392, 2125, 347, 668, 81, 464, 392, 656, 1984, 47, 2035, 34512, 3153, 33, 8021, 689, 97, 370, 23189, 47, 371, 81, 7381, 463, 8021, 689, 302, 370, 2267, 47, 1815, 2610, 284, 1623, 668, 32, 1689, 26, 1097, 26, 3237, 47, 1094, 32, 3237, 30, 28242, 502, 47, 20331, 502, 30, 1780, 280, 330, 5990, 3718, 370, 2125, 347, 1903, 392, 1984, 47, 2035, 474, 26652, 101, 12483, 7853, 47, 37, 30, 656, 23189, 47, 371, 81, 7381, 463, 1903, 370, 2267, 47, 1815, 2610, 284, 442, 1623, 668, 203, 589, 1149, 81, 464, 26, 1094, 711, 284, 4082, 32, 1338, 346, 284, 1623, 668, 280, 1149, 346, 284, 31628, 280, 1487, 81, 30122, 26, 1094, 32, 965, 27, 284, 8001, 280, 31628, 32, 1809, 26, 314, 347, 4457, 1895, 1809, 81, 464, 440, 4066, 657, 284, 436, 10313, 328, 8001, 44, 291, 10501, 280, 10313, 32, 1809, 440, 83, 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, 0, 3, 3, 2, 2, 0, 1, 1, 4, 5, 5, 5, 3, 4, 3, 2, 2, 3, 1, 1, 5, 4, 4, 2, 2, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 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, 0, 1, 1, 2, 2, 2, 3, 2, 2, 4, 3, 4, 2, 2, 4, 3, 4, 2, 1, 1, 5, 6, 5, 2, 2, 3, 4, 3, 3, 3, 6, 6, 10, 10, 10, 9, 10, 10, 9, 10, 9, 9, 10, 14, 14, 14, 12, 13, 11, 8, 3, 3, 4, 4, 4, 7, 7, 11, 11, 11, 10, 11, 11, 10, 11, 10, 9, 2, 2, 3, 4, 3, 3, 3, 6, 6, 9, 9, 8, 9, 9, 8, 9, 8, 2, 2, 4, 4, 6, 7, 6, 6, 8, 8, 8, 8, 6, 8, 8, 7, 9, 9, 9, 9, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 6, 5, 2, 2, 5, 4, 4, 6, 2, 2, 6, 5, 6, 5, 7, 7, 9, 8, 10, 9, 10, 7, 7, 9, 8, 9, 9, 7, 7, 8, 10, 10, 10, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 9, 11, 11, 11, 11, 11, 7, 8, 10, 10, 10, 10, 12, 12, 10, 11, 12, 10, 2, 2, 6, 5, 6, 5, 7, 7, 9, 8, 10, 9, 10, 7, 7, 9, 8, 9, 9, 7, 7, 8, 10, 10, 10, 10, 10, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 9, 11, 11, 11, 11, 11, 11, 7, 8, 10, 10, 10, 10, 12, 12, 12, 12, 10, 11, 12, 10, 2, 2, 6, 5, 6, 5, 7, 7, 9, 8, 10, 9, 10, 7, 7, 9, 8, 9, 9, 7, 7, 8, 8, 10, 10, 10, 7, 8, 10, 10, 7, 8, 10, 9, 9, 11, 11, 7, 8, 9, 7, 7, 7, 8, 10, 10, 10, 10, 12, 12, 10, 11, 12, 10, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 6, 5, 2, 2, 5, 4, 4, 6, 2, 2, 4, 4, 6, 6, 6, 8, 7, 8, 6, 2, 2, 4, 4, 8, 9, 8, 10, 9, 11, 11, 7, 7, 7, 6, 8, 8, 2, 2, 3, 3, 3, 3, 3, 3, 6, 6, 9, 10, 9, 11, 11 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 6, 6, 6, 6, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 8, 8, 8, 8, 0, 0, 9, 9, 9, 9, 0, 0, 10, 10, 1, 2, 10, 10, 0, 11, 11, 0, 11, 11, 11, 11, 11, 11, 0, 0, 12, 12, 0, 12, 12, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 15, 15, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 2, 0, 5, 2, 2, 15, 15, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 2, 1, 2, 2, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 5, 1, 1, 1, 2, 4, 4, 4, 0, 16, 16, 1, 2, 1, 2, 16, 16, 0, 2, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 3, 2, 2, 1, 1, 5, 1, 1, 2, 1, 7, 1, 1, 1, 2, 1, 1, 9, 0, 2, 1, 1, 1, 1, 2, 1, 11, 0, 0, 0, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 3, 2, 2, 1, 1, 5, 1, 1, 1, 1, 2, 1, 7, 1, 1, 1, 2, 1, 1, 9, 0, 2, 1, 1, 1, 1, 1, 2, 1, 11, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 3, 2, 2, 1, 1, 5, 5, 1, 1, 2, 1, 7, 1, 2, 1, 9, 0, 2, 2, 1, 1, 1, 11, 2, 1, 1, 1, 13, 0, 0, 0, 1, 1, 2, 1, 3, 2, 1, 4, 4, 5, 1, 0, 17, 17, 1, 1, 2, 1, 2, 17, 17, 0, 2, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 2, 1, 1, 2 ]
[ 1070, 35381, 1188, 4361, 203, 465, 6436, 619, 2065, 203, 465, 7744, 203, 1070, 18414, 1188, 7060, 203, 589, 4376, 2029, 26, 96, 711, 284, 1201, 308, 96, 23, 36, 863, 225, 34, 37549, 9883, 2298, 526, 17859, 20, 284, 312, 280, 2065, 32, 2951, 1162, 96, 30, 310, 490, 284, 312, 32, 4157, 26, 35, 13824, 96, 28, 96, 490, 284, 442, 312, 203, 589, 14108, 7756, 35, 86, 26, 11756, 711, 284, 5923, 81, 1322, 280, 225, 40, 28, 11756, 284, 415, 5923, 81, 1322, 904, 225, 36, 610, 225, 34, 44, 291, 909, 280, 1833, 846, 81, 1322, 4165, 36, 7283, 35, 284, 4348, 5923, 81, 1322, 32, 297, 81, 5823, 346, 610, 3177, 44, 291, 5923, 81, 1322, 280, 2065, 32, 17682, 26, 846, 81, 1322, 27, 291, 909, 280, 308, 846, 81, 1322, 474, 225, 35, 4165, 36, 291, 415, 5923, 81, 1322, 904, 225, 36, 610, 225, 34, 44, 324, 5923, 81, 1322, 280, 5923, 81, 1322, 474, 225, 35, 324, 909, 280, 5923, 81, 1322, 429, 225, 35, 284, 4348, 5923, 81, 1322, 904, 225, 36, 863, 225, 34, 44, 291, 909, 280, 308, 846, 81, 1322, 474, 225, 35, 4165, 36, 284, 20265, 280, 1149, 26, 3585, 26, 410, 26, 695, 2610, 284, 7528, 81, 9980, 280, 9650, 106, 436, 816, 328, 20265, 79, 284, 7528, 81, 9980, 32, 2546, 26, 34, 27, 284, 7528, 81, 9980, 32, 9833, 346, 284, 312, 81, 695, 280, 7528, 81, 9980, 474, 20265, 284, 312, 81, 695, 280, 428, 3812, 32, 2832, 3736, 308, 3596, 26, 106, 4586, 3596, 26, 106, 490, 517, 308, 36, 28, 11756, 28, 11756, 490, 436, 816, 328, 312, 81, 695, 79, 284, 3632, 81, 35532, 280, 3632, 26, 83, 81, 695, 27, 284, 312, 81, 35532, 280, 10440, 35, 33, 1036, 81, 35532, 4586, 106, 436, 816, 328, 312, 81, 695, 79, 284, 442, 2065, 32, 26742, 26, 83, 81, 35532, 27, 203, 589, 14108, 7756, 36, 86, 26, 11756, 711, 284, 296, 280, 14108, 7756, 35, 86, 26, 11756, 27, 284, 442, 7060, 32, 6081, 2921, 36, 86, 26, 88, 77, 2356, 32, 890, 5082, 614, 2065, 32, 16547, 26, 88, 77, 2356, 32, 890, 5082, 5259, 203, 589, 14108, 7756, 6081, 2921, 36, 86, 26, 955, 30, 11756, 711, 284, 1201, 308, 955, 32, 29704, 610, 225, 36, 37549, 1261, 2298, 526, 225, 36, 54, 20, 284, 2761, 280, 14108, 7756, 36, 86, 26, 11756, 27, 284, 1056, 280, 7060, 32, 6081, 2921, 36, 86, 26, 955, 30, 2761, 30, 330, 8786, 683, 284, 442, 1056, 203, 449, 280, 4361, 32, 1676, 463, 2882, 32, 3072, 683, 203, 449, 32, 2245, 346, 203, 449, 280, 3960, 32, 5954, 463, 62, 683, 203, 449, 81, 846, 280, 2065, 32, 26742, 26, 449, 27, 203, 16256, 280, 14108, 7756, 6081, 2921, 36, 86, 26, 449, 81, 846, 30, 225, 37, 27, 203, 88, 449, 280, 4361, 32, 1070, 955, 26, 16256, 27, 203, 325, 296, 449, 32, 2816, 863, 330, 62, 950, 284, 296, 449, 280, 296, 449, 32, 5954, 463 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 7, 6, 7, 5, 5, 6, 4, 5, 5, 5, 5, 5, 2, 2, 4, 4, 6, 7, 6, 8, 7, 7, 7, 2, 2, 5, 6, 5, 7, 6, 9, 8, 9, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 5, 6, 2, 2, 3, 6, 6, 5, 5, 6, 4, 4, 5, 3, 3, 3, 6, 6, 11, 11, 11, 10, 10, 8, 8, 3, 3, 4, 8, 8, 7, 8, 8, 8, 7, 5, 5, 4, 4, 4, 8, 8, 7, 7, 9, 10, 9, 10, 10, 10, 9, 5, 5, 7, 7, 11, 11, 11, 10, 10, 11, 9, 9, 5, 5, 6, 9, 9, 8, 8, 9, 7, 7, 8, 6, 6, 6, 10, 10, 9, 9, 11, 11, 10, 10, 11, 7, 7, 9, 9, 11, 11, 10, 10, 11, 3, 3, 4, 7, 7, 6, 6, 7, 5, 5, 6, 4, 4, 4, 7, 7, 11, 11, 11, 10, 10, 11, 9, 9, 2, 2, 4, 4, 6, 8, 8, 10, 10, 11, 10, 2, 2, 5, 5, 4, 4, 7, 5, 6, 6, 6, 5, 2, 2, 6, 6, 5, 6, 5, 6, 5, 2, 2, 6, 6, 5, 6, 5, 2, 2, 5, 5, 4, 4, 6, 6, 5, 5, 2, 2, 5, 5, 4, 4, 8, 7, 8, 7, 9, 13, 13, 14, 13, 13, 13, 14, 13, 8, 8, 12, 11, 12, 10, 11, 9, 5, 6, 6, 6, 7, 7, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 9, 8, 9, 9, 9, 7, 7, 5, 6, 6, 6, 7, 7, 5, 2, 2, 3, 5, 6, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 7, 6, 2, 2, 3, 5, 6, 6, 6, 6, 5, 7, 6, 8, 7, 8, 8, 6, 5, 7, 8, 7, 9, 8, 10, 9, 10, 10, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 3, 7, 6, 7, 5, 5, 6, 4, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 6, 6, 6, 6, 7, 6, 2, 2, 4, 4, 6, 7, 7, 7, 7, 6, 7, 6, 6, 6, 6, 8, 8, 2, 2, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 0, 4, 3, 4, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 5, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 0, 3, 3, 2, 2, 4, 5, 5, 4, 5, 4, 0, 1, 1, 4, 3, 4, 2, 2, 4, 4, 1, 1, 5, 4, 4, 7, 6, 7, 6 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 0, 1, 2, 2, 4, 4, 3, 0, 5, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 4, 4, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 3, 3, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 1, 5, 0, 0, 0, 0, 2, 1, 1, 2, 5, 5, 5, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 4, 4, 0, 0, 1, 0, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 3, 3, 2, 4, 4, 10, 0, 2, 1, 1, 1, 1, 1, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 7, 7, 1, 1, 1, 1, 1, 2, 1, 2, 3, 2, 7, 7, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 14, 14, 0, 0, 2, 1, 1, 1, 2, 14, 14, 0, 0, 0, 0, 0, 2, 1 ]
[ 465, 11171, 203, 1070, 16560, 32, 32260, 32, 3494, 32, 30148, 1188, 3891, 1486, 203, 1070, 1202, 81, 14909, 81, 1439, 81, 4396, 1188, 3891, 17820, 1761, 2981, 203, 823, 3891, 17820, 5037, 26, 40427, 1761, 2981, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2181, 280, 630, 32, 371, 81, 1580, 81, 1132, 346, 291, 630, 32, 678, 81, 1580, 280, 3891, 1486, 14605, 1132, 27, 291, 630, 32, 678, 81, 426, 280, 313, 678, 31, 426, 22258, 474, 11171, 32, 6572, 35, 922, 6949, 284, 2498, 665, 1487, 81, 20544, 81, 678, 26, 784, 711, 291, 1459, 440, 16608, 600, 29991, 1202, 21850, 291, 2014, 630, 32, 678, 81, 1580, 32, 1297, 81, 20544, 81, 678, 26, 426, 47, 784, 32, 678, 81, 426, 30, 1334, 47, 36, 34, 38, 42, 27, 291, 1459, 5528, 671, 658, 657, 284, 2498, 665, 622, 81, 678, 26, 784, 711, 291, 1459, 440, 20482, 312, 1202, 21850, 291, 1202, 280, 2014, 630, 32, 678, 81, 1580, 32, 371, 81, 678, 26, 426, 47, 784, 32, 678, 81, 426, 27, 291, 1459, 5528, 671, 658, 30, 1202, 44, 2149, 35145, 1643, 26, 678, 32, 426, 490, 284, 2498, 665, 3066, 81, 678, 26, 784, 711, 291, 1459, 440, 36595, 312, 1202, 21850, 291, 8128, 81, 678, 280, 2014, 630, 32, 678, 81, 1580, 32, 2560, 81, 678, 26, 426, 47, 784, 32, 678, 81, 426, 27, 291, 1459, 5528, 671, 658, 44, 313, 474, 8128, 81, 678, 32, 426, 27, 284, 2498, 665, 1420, 26, 784, 711, 291, 1459, 17987, 291, 1459, 440, 45784, 657, 291, 1459, 440, 953, 25421, 429, 20257, 78, 96, 6729, 429, 40680, 657, 291, 1459, 440, 45784, 657, 291, 1459, 440, 35, 27, 2648, 312, 1202, 657, 291, 1459, 440, 36, 27, 1390, 688, 1202, 657, 291, 1459, 440, 37, 27, 6788, 688, 1202, 308, 10780, 973, 322, 2869, 14451, 291, 1459, 17987, 291, 1596, 44, 324, 2014, 630, 32, 1297, 81, 20544, 81, 678, 346, 324, 2014, 630, 32, 371, 81, 678, 346, 291, 8295, 44, 324, 2014, 630, 32, 2560, 81, 678, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 9, 9, 9, 9, 7, 7, 10, 11, 11, 10, 9, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 9, 9, 9, 9, 9, 4, 4, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 10, 9, 11, 10, 11, 11, 11, 8, 8, 9, 10, 10, 10, 10, 8, 4, 4, 7, 10, 9, 9, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 7, 9, 9, 9, 9, 4, 4, 6, 6, 7, 10, 11, 11, 11, 9, 10, 10, 10, 9, 11, 10, 12, 11, 12, 12, 12, 9, 4, 4, 7, 12, 11, 11, 11, 11, 11, 11, 10, 9, 11, 10, 11, 9, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 7, 9, 9, 9, 9, 4, 4, 7, 7, 6, 6, 7, 10, 11, 11, 11, 9, 10, 10, 10, 9, 11, 10, 12, 11, 12, 12, 12, 9, 4, 4, 7, 11, 10, 10, 10, 8, 8, 10, 10, 9, 10, 7, 2, 2, 3, 3, 4, 5, 4, 3, 3, 7, 4, 4, 7, 9, 9, 4, 4, 7, 9, 9, 9, 9, 10, 10, 9, 9, 9, 9, 4, 4, 7, 9, 9, 4, 4, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 4, 4, 5, 5, 5, 8, 10, 11, 11, 11, 11, 11, 10, 6, 6, 8, 10, 11, 11, 11, 10, 5, 5, 6, 6, 6, 9, 11, 12, 12, 12, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 4, 1, 6, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 3, 3, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 4, 4, 1, 1, 2, 2, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 1, 5, 5, 1, 0, 1, 2, 4, 4, 2, 2, 2, 2, 3, 1, 3, 2, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 5, 5, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 4, 4, 3, 3, 2, 2, 3, 1, 3, 3, 3, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 5, 5, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 4, 4, 4, 4, 3, 1, 3, 4, 4, 1, 5, 5, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 5, 5, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 5, 5, 8, 8, 8, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 8, 8, 3, 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 ]
[ 465, 15798, 203, 1270, 44, 284, 1188, 4395, 203, 7343, 29986, 44, 284, 645, 15798, 1188, 4395, 203, 465, 6436, 619, 2065, 203, 1070, 3619, 89, 329, 32, 38758, 1188, 6403, 11710, 717, 30, 2182, 45950, 81, 35777, 30, 2182, 45950, 81, 968, 7904, 203, 823, 2108, 4007, 40315, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 38758, 81, 1874, 26, 784, 711, 291, 15172, 280, 2065, 32, 955, 21145, 34, 30, 225, 34, 30, 225, 34, 30, 225, 34, 30, 225, 34, 30, 6035, 39, 35, 36, 30, 225, 39, 35, 36, 30, 225, 39, 35, 36, 30, 225, 39, 35, 36, 30, 225, 39, 35, 36, 30, 6035, 35, 34, 36, 37, 30, 225, 35, 34, 36, 37, 30, 225, 35, 34, 36, 37, 30, 225, 35, 34, 36, 37, 30, 225, 35, 34, 36, 37, 614, 6029, 428, 38, 35, 30, 225, 38, 35, 30, 225, 38, 35, 30, 225, 38, 35, 30, 225, 38, 35, 30, 6035, 35, 39, 34, 30, 225, 35, 39, 34, 30, 225, 35, 39, 34, 30, 225, 35, 39, 34, 30, 225, 35, 39, 34, 30, 6035, 41, 34, 34, 30, 225, 41, 34, 34, 30, 225, 41, 34, 34, 30, 225, 41, 34, 34, 30, 225, 41, 34, 34, 13138, 291, 4947, 280, 225, 35, 43, 43, 41, 291, 594, 3368, 280, 225, 35, 43, 40, 291, 5122, 6168, 81, 314, 280, 313, 1347, 2321, 35, 38, 20, 291, 2182, 280, 6403, 11710, 717, 26, 1166, 6168, 81, 314, 27, 291, 37111, 280, 225, 35, 291, 3826, 280, 225, 34, 291, 2488, 35, 280, 2182, 45950, 81, 35777, 26, 10410, 6894, 3826, 403, 39, 614, 3826, 30, 4947, 30, 594, 3368, 30, 2182, 30, 37111, 27, 291, 3826, 280, 225, 35, 291, 2488, 36, 280, 2182, 45950, 81, 35777, 26, 10410, 6894, 3826, 403, 39, 614, 3826, 30, 4947, 30, 594, 3368, 30, 2182, 30, 37111, 27, 291, 3826, 280, 225, 36, 291, 706, 280, 2065, 32, 934, 32, 955, 26, 10410, 6894, 3826, 403, 39, 614, 5941, 47, 1815, 27, 291, 2488, 37, 280, 2182, 45950, 81, 35777, 26, 605, 30, 3826, 30, 4947, 30, 594, 3368, 30, 2182, 30, 37111, 27, 291, 2799, 280, 308, 2356, 32, 955, 21145, 2356, 32, 10095, 30, 225, 40, 34, 32, 42, 43, 35, 34, 41, 38, 30, 225, 35, 36, 40, 32, 43, 39, 37, 37, 40, 38, 614, 4985, 428, 34, 4317, 225, 35, 38, 32, 34, 43, 35, 39, 40, 39, 30, 225, 42, 39, 32, 35, 43, 39, 41, 43, 35, 3212, 471, 528, 2065, 32, 955, 21145, 2356, 32, 10095, 30, 225, 41, 36, 32, 43, 42, 36, 40, 36, 30, 225, 35, 39, 36, 32, 35, 40, 37, 37, 38, 614, 4985, 428, 34, 4317, 225, 35, 40, 32, 42, 42, 43, 42, 36, 35, 30, 225, 35, 34, 36, 32, 35, 35, 37, 40, 42, 41, 3212, 471, 528, 2065, 32, 955, 2009, 6448, 37, 36, 34, 34, 35, 4317, 429, 37, 36, 34, 34, 35, 4317, 429, 37, 36, 34, 34, 35, 32269, 4985, 9650 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 10, 9, 9, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 4, 4, 6, 6, 7, 7, 7, 7, 4, 4, 7, 6, 6, 7, 7, 7, 4, 4, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 4, 4, 6, 6, 8, 8, 8, 9, 9, 9, 9, 8, 4, 4, 6, 6, 7, 4, 4, 6, 6, 7, 4, 4, 7, 6, 6, 8, 8, 8, 8, 10, 9, 9, 10, 11, 9, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 4, 4, 6, 6, 7, 4, 4, 7, 6, 6, 8, 8, 8, 8, 10, 9, 9, 10, 11, 9, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 4, 4, 6, 6, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 9, 9, 10, 11, 9, 8, 9, 10, 8, 4, 4, 7, 6, 6, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 4, 4, 6, 6, 10, 9, 10, 9, 13, 12, 13, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 10, 12, 12, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 9, 7, 7, 9, 10, 9, 13, 12, 13, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 10, 12, 12, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 9, 7, 7, 9, 10, 9, 11, 13, 13, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 13, 10, 10 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 2, 2, 1, 1, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 4, 4, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 11, 11, 1, 1, 13, 13, 13, 1, 1, 15, 15, 15, 1, 1, 17, 17, 17, 1, 1, 19, 19, 19, 1, 1, 21, 21, 21, 21, 1, 1, 23, 23, 23, 23, 1, 1, 25, 25, 25, 25, 1, 1, 27, 27, 27, 27, 1, 1, 29, 29, 29, 29, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 5, 5, 3, 3, 7, 7, 3, 3, 9, 9, 3, 3, 11, 11, 11, 3, 3, 13, 13, 13, 3, 3, 15, 15, 15, 3, 3, 17, 17, 17, 3, 3, 19, 19, 19, 3, 3, 21, 21, 21, 3, 3, 23, 23, 23, 3, 3, 25, 25, 25, 3, 3, 27, 27, 27, 3, 3, 29, 29, 29, 3, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 4, 3, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 4, 3, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 4, 3, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 24495, 203, 465, 1619, 1356, 203, 465, 16951, 203, 465, 1913, 32, 21326, 203, 465, 316, 203, 465, 3738, 203, 1070, 15798, 1188, 4395, 203, 465, 13092, 203, 1070, 10151, 314, 3557, 1188, 390, 2331, 2809, 7167, 30, 10473, 7167, 203, 465, 38576, 525, 203, 1070, 38576, 525, 1188, 2676, 203, 1070, 38576, 525, 32, 1580, 1188, 5675, 3135, 203, 1070, 38576, 525, 32, 11628, 1188, 3772, 9938, 30, 14453, 9938, 203, 50, 12408, 32, 12940, 203, 589, 15740, 26, 5837, 711, 284, 4567, 280, 3772, 9938, 26, 5837, 47, 5837, 27, 284, 28730, 280, 4395, 32, 3660, 346, 284, 4567, 1114, 468, 2425, 710, 83, 785, 280, 10440, 35959, 30, 330, 1805, 370, 225, 35, 36, 37, 2177, 284, 442, 4567, 203, 50, 12408, 32, 12766, 81, 12940, 203, 589, 1487, 81, 2848, 26, 5837, 711, 284, 3523, 280, 1665, 284, 665, 345, 5190, 2740, 1132, 30, 1115, 5321, 711, 291, 2979, 1696, 3523, 291, 3523, 280, 5675, 3135, 2740, 1132, 30, 5258, 47, 5837, 30, 1115, 5321, 27, 291, 442, 3523, 284, 6761, 345, 5190, 284, 415, 3523, 438, 646, 1665, 44, 291, 3523, 32, 2679, 346, 203, 50, 12408, 32, 12940, 203, 589, 3523, 26, 1297, 81, 2848, 711, 284, 442, 1487, 81, 2848, 346, 203, 50, 12408, 32, 12940, 203, 589, 2803, 2262, 284, 442, 5436, 26, 291, 4826, 7814, 8466, 563, 313, 7099, 2417, 3918, 291, 1769, 81, 45116, 47, 36, 30, 291, 7328, 347, 23423, 35, 392, 291, 1503, 47, 30148, 525, 32, 2217, 2062, 35, 34, 30, 291, 20918, 347, 589, 1089, 392, 291, 7311, 318, 47, 1815, 30, 291, 1424, 35, 34, 34, 47, 1815, 30, 291, 1491, 81, 17785, 81, 24073, 47, 2700, 27, 203, 589, 894, 81, 1664, 81, 5078, 81, 6656, 81, 2665, 26, 1297, 81, 2848, 711, 284, 3523, 280, 1487, 81, 2848, 26, 5078, 7814, 90, 35, 563, 313, 2111, 35, 392, 8479, 313, 90, 36, 563, 313, 2111, 36, 15119, 284, 1201, 308, 11939, 26, 2848, 1114, 1536, 81, 5078, 32, 3028, 1157, 610, 324, 6262, 440, 58, 35, 392, 313, 2111, 35, 2113, 2884, 58, 36, 392, 313, 2111, 36, 3830, 490, 203, 589, 894, 81, 1664, 81, 5078, 81, 668, 81, 1028, 81, 34805, 26, 1297, 81, 2848, 711, 284, 3523, 280, 1487, 81, 2848, 26, 5078, 6020, 440, 90, 35, 392, 313, 2111, 35, 2113, 8479, 2884, 90, 36, 392, 313, 2111, 36, 2113, 8479, 2884, 90, 37, 392, 313, 2111, 37, 657, 1130, 284, 1201, 308, 2848, 1114, 1536, 81, 5078, 610, 324, 390, 2331, 2809, 7167, 2009, 440, 90, 35, 392, 313, 2111, 35, 2113, 656, 2884, 90, 36, 392, 313, 2111, 36, 2113, 656, 2884, 90, 37, 392, 313, 2111, 37, 3830, 490, 203, 589, 894, 81, 1664, 81, 5078, 81, 6221, 7167, 26, 1297, 81, 2848, 711, 284, 3523, 280, 1487, 81, 2848, 26, 5078, 47, 6221, 7167, 2009, 440, 90, 35, 392, 313, 2111, 35, 2113, 4180, 2884, 90, 36, 392, 313, 2111, 36, 2113, 4180, 2884, 90, 37, 392, 313, 2111, 37, 3830, 490, 284, 1201, 308, 2848 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 2, 4, 3, 4, 1, 2, 2, 3, 4, 3, 2, 2, 5, 5, 7, 7, 9, 8, 9, 7, 3, 3, 5, 5, 7, 8, 7, 3, 3, 7, 8, 8, 6, 8, 8, 5, 5, 8, 7, 7, 9, 9, 7, 8, 8, 8, 7, 3, 3, 4, 0, 2, 4, 3, 4, 4, 4, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 5, 5, 3, 3, 4, 5, 5, 7, 5, 5, 7, 5, 4, 4, 6, 6, 5, 5, 7, 7, 9, 9, 11, 9, 9, 10, 11, 9, 9, 11, 9, 5, 5, 6, 3, 3, 5, 6, 3, 3, 4, 5, 5, 5, 4, 4, 4, 8, 9, 8, 0, 2, 4, 3, 4, 1, 2, 2, 3, 4, 4, 4, 3, 2, 2, 4, 6, 6, 6, 0, 2, 4, 3, 4, 1, 2, 2, 3, 2, 2, 4, 6, 6, 6, 7, 11, 11, 9, 11, 11, 11, 6, 6, 8, 8, 7, 8, 6, 6, 6, 7, 9, 9, 9, 6, 6, 7, 9, 9, 8, 9, 9, 9, 9, 6, 6, 6, 7, 9, 9, 9, 6, 6, 8, 7, 8, 6, 6, 6, 8, 8, 8, 7, 8, 6, 6, 6, 8, 8, 8, 8, 7, 8, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 8, 7, 11, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 11, 9, 11, 11, 11, 2, 2, 3, 7, 7, 11, 10, 11, 11, 11, 9, 10, 9, 5, 5, 5, 8, 10, 10, 10, 8, 10, 10, 10, 7, 10, 10, 10, 8, 10, 10, 10, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 8, 7, 9, 11, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 11, 9, 11, 11, 11, 8, 2, 2, 3, 7, 6, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 9, 11, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 11, 9, 11, 11, 11, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 8, 7, 9, 9, 9, 11, 13, 13, 13, 11, 13, 13, 13, 10, 10, 13, 13, 13, 11, 13, 13, 13, 10, 10, 13, 13, 13, 11, 13, 13, 13, 9, 2, 2, 3, 7 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 1, 2, 0, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 9, 9, 0, 0, 10, 10, 0, 10, 10, 0, 11, 11, 0, 1, 2, 11, 11, 0, 0, 12, 12, 0, 1, 2, 12, 12, 0, 12, 12, 0, 0, 0, 0, 1, 2, 13, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 5, 5, 5, 1, 4, 4, 3, 0, 0, 0, 1, 2, 2, 2, 14, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 4, 4, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 4, 4, 2, 4, 4, 0, 1, 4, 4, 3, 1, 1, 1, 3, 3, 3, 0, 2, 1, 0, 0, 0, 1, 2, 15, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 16, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 1, 5, 1, 1, 2, 1, 1, 7, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 9, 1, 1, 2, 1, 1, 0, 11, 2, 1, 1, 1, 0, 0, 0, 13, 2, 1, 1, 1, 0, 0, 0, 0, 15, 2, 1, 0, 17, 17, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 17, 17, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 1, 1, 2, 4, 4, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 2, 2, 0, 18, 18, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 18, 18, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 2, 5, 1, 1, 2, 2, 4, 4, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 1, 2, 5, 1, 1, 2, 1, 0, 19, 19, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 19, 19, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 1, 2, 5, 1, 1, 2, 1, 4, 4, 1, 0 ]
[ 1070, 1779, 445, 32, 1237, 32, 7924, 1188, 1695, 203, 1070, 1779, 445, 32, 1356, 1188, 43547, 203, 1070, 1779, 445, 32, 1356, 1188, 14735, 619, 5034, 81, 14806, 203, 823, 11212, 101, 4191, 17152, 1006, 3265, 26, 1439, 32, 1761, 72, 36, 12375, 4191, 1006, 711, 284, 1769, 81, 9441, 1648, 280, 330, 36, 32, 38, 36, 25, 284, 477, 17614, 284, 665, 4705, 81, 13606, 26, 6933, 711, 291, 2599, 26, 25974, 4191, 17152, 1006, 3265, 30, 9011, 547, 5522, 81, 13606, 346, 291, 9011, 32, 1580, 280, 9011, 32, 500, 81, 2300, 32, 15934, 81, 1580, 291, 9011, 32, 3780, 81, 2300, 81, 1580, 280, 9011, 32, 500, 81, 4457, 32, 15934, 81, 1580, 284, 477, 17614, 284, 665, 2869, 81, 5522, 26, 6933, 711, 291, 2599, 26, 25974, 4191, 17152, 1006, 3265, 30, 9011, 547, 3142, 81, 5522, 346, 291, 17758, 280, 9011, 32, 1580, 32, 668, 81, 15934, 31510, 15934, 785, 291, 415, 646, 17758, 44, 324, 3636, 5034, 81, 14806, 32, 5965, 440, 1347, 3408, 2431, 657, 291, 9011, 32, 12256, 280, 17758, 77, 34, 5795, 2035, 81, 426, 785, 284, 477, 28497, 32, 2437, 26, 681, 11414, 15272, 3490, 284, 477, 28497, 32, 805, 36477, 304, 81, 314, 463, 583, 34, 37, 36, 34, 36, 41, 31, 34, 36, 35, 34, 31, 38, 86, 43, 85, 31, 42, 40, 34, 87, 31, 40, 43, 84, 35, 84, 42, 18230, 39, 88, 683, 284, 665, 894, 81, 668, 81, 15934, 81, 1793, 81, 3780, 81, 2300, 81, 496, 26, 784, 711, 291, 630, 32, 23895, 26, 1356, 81, 14806, 32, 28654, 30, 3775, 630, 32, 3780, 81, 2300, 81, 1580, 32, 668, 81, 15934, 27, 284, 477, 28497, 32, 2437, 26, 681, 11414, 15272, 3490, 284, 477, 28497, 32, 805, 36477, 304, 81, 314, 463, 87, 41, 39, 84, 34, 83, 35, 83, 31, 34, 38, 35, 88, 31, 38, 41, 83, 35, 31, 42, 84, 38, 83, 31, 84, 41, 36, 83, 40, 486, 37, 40, 86, 37, 88, 683, 284, 665, 894, 81, 2245, 81, 2035, 81, 5110, 81, 1793, 81, 3780, 29801, 81, 12256, 26, 784, 711, 291, 630, 32, 23895, 26, 1356, 81, 14806, 32, 5965, 30, 3775, 630, 32, 1580, 32, 2245, 81, 2035, 30, 330, 3780, 29801, 81, 12256, 683, 284, 477, 28497, 32, 2437, 26, 681, 11414, 15272, 3490, 284, 477, 28497, 32, 805, 36477, 304, 81, 314, 463, 35, 43, 36097, 34, 43, 85, 31, 37058, 38, 31, 38, 84, 41, 85, 31, 42, 35, 83, 36, 31, 87, 36, 87, 34, 41, 35, 34, 88, 39, 43, 1152, 683, 284, 665, 894, 81, 2245, 81, 2035, 81, 5110, 81, 1793, 81, 3780, 81, 2300, 81, 496, 26, 784, 711, 291, 630, 32, 23895, 26, 1356, 81, 14806, 32, 28654, 30, 3775, 630, 32, 3780, 81, 2300, 81, 1580, 32, 2245, 81, 2035, 30, 3775, 630, 32, 12256, 27, 284, 477, 28497, 32, 2437, 26, 681, 11414, 15272, 3490, 284, 477, 28497, 32, 805, 36477, 304, 81, 314, 463, 87, 38, 34, 85, 41, 36, 84, 35, 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, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 4, 4, 4, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 10, 11, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 5, 5, 8, 9, 7, 7, 9, 10, 10, 10, 8, 9, 9, 9, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 9, 10, 10, 10, 8, 9, 9, 9, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 10, 11, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 5, 5, 7, 7, 11, 12, 10, 11, 11, 11, 10, 10, 10, 5, 5, 6, 7, 6, 6, 6, 8, 11, 11, 10, 11, 10, 12, 12, 12, 12, 5, 5, 8, 9, 7, 7, 9, 10, 9, 10, 10, 10, 10, 2, 2, 7, 6, 7, 6, 8, 7, 10, 10, 3, 3, 7, 6, 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, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 8, 10, 10, 10, 9, 10, 8, 8, 8, 10, 11, 11, 11, 11, 11, 9, 10, 10, 10, 8, 2, 2, 7, 6, 7, 6, 8, 7, 10, 10, 3, 3, 7, 6, 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, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 8, 10, 10, 10, 9, 10, 8, 8, 8, 10, 11, 9, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 2, 2, 7, 6, 7, 6, 8, 7, 10, 10, 3, 3, 7, 6, 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, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 8, 10, 10, 10, 9, 10, 8, 8, 8, 10, 11, 11, 11, 11, 11, 9, 10, 10, 10, 8, 8, 8, 9, 10, 8, 2, 2, 7, 6, 7, 6, 8, 7, 10, 10, 3, 3, 7, 6, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 3, 3, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 4, 4, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 0, 1, 1, 2, 3, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 0, 1, 1, 2, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 0, 1, 1, 2, 5, 5, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 1, 5, 2, 1, 4, 4, 0, 0, 2, 1, 0, 1, 1, 2, 6, 6, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9592, 27161, 31, 203, 2140, 14822, 7433, 2288, 538, 267, 30, 328, 18367, 30, 632, 1310, 30, 1426, 2518, 295, 2417, 5774, 203, 27161, 31, 9592, 203, 465, 2322, 30, 3731, 203, 325, 5237, 32, 1648, 81, 1338, 77, 34, 79, 863, 225, 36, 556, 5237, 32, 1648, 81, 1338, 77, 35, 79, 863, 225, 41, 44, 203, 202, 1216, 3776, 3731, 32, 8228, 30, 2706, 96, 4282, 884, 1471, 4262, 20, 474, 596, 26, 3731, 32, 1648, 81, 1338, 77, 34, 1130, 474, 18491, 474, 596, 26, 3731, 32, 1648, 81, 1338, 77, 35, 1130, 474, 313, 559, 903, 26207, 5652, 4262, 36, 32, 41, 14351, 96, 20, 203, 202, 3731, 32, 4775, 346, 203, 465, 316, 203, 465, 802, 203, 1070, 2919, 2208, 1188, 3659, 2825, 203, 465, 11685, 203, 465, 802, 203, 465, 13625, 203, 465, 7744, 203, 465, 6900, 203, 1070, 19004, 32, 2400, 470, 1188, 319, 203, 1070, 19004, 32, 2400, 470, 81, 29822, 1188, 319, 203, 1070, 19004, 32, 35158, 1188, 319, 203, 1070, 19004, 32, 1771, 9828, 81, 955, 1188, 24470, 9828, 1261, 203, 1070, 19004, 81, 20915, 32, 4426, 913, 1188, 438, 11126, 203, 1070, 19004, 32, 2400, 470, 81, 2304, 1188, 319, 203, 1070, 2678, 85, 1647, 1188, 551, 1345, 203, 1070, 2678, 85, 1647, 1188, 35280, 203, 1070, 2678, 85, 1647, 1188, 323, 404, 81, 85, 37045, 203, 505, 2116, 505, 280, 313, 62, 12591, 97, 45972, 20, 203, 505, 11794, 505, 280, 313, 10581, 225, 36, 34, 35, 36, 32, 3367, 4751, 5215, 3107, 203, 505, 36157, 505, 280, 1605, 203, 505, 2077, 505, 280, 313, 21181, 20, 203, 505, 1648, 505, 347, 36, 32, 37, 32, 37, 20, 203, 505, 42086, 505, 280, 313, 62, 12591, 97, 45972, 20, 203, 505, 1935, 505, 280, 313, 31968, 32, 94, 12591, 97, 50, 17302, 97, 32, 7589, 20, 203, 505, 1517, 505, 280, 313, 24504, 20, 203, 589, 2182, 81, 891, 26, 668, 711, 203, 202, 9592, 10261, 1029, 519, 23065, 1149, 3380, 1334, 9592, 203, 202, 891, 47, 34, 203, 202, 979, 456, 328, 1149, 44, 357, 202, 891, 1454, 456, 77, 36, 79, 429, 456, 77, 35, 79, 203, 202, 601, 1334, 203, 589, 2431, 658, 26, 16129, 30, 19972, 30, 376, 30, 943, 711, 203, 202, 6264, 280, 225, 34, 203, 202, 325, 25680, 328, 18673, 44, 357, 202, 6264, 280, 2069, 26, 19972, 77, 16129, 997, 1809, 26, 270, 30, 416, 490, 203, 202, 601, 2431, 203, 589, 1968, 81, 2400, 2021, 26, 668, 711, 203, 202, 9592, 1832, 12919, 695, 3350, 645, 1149, 9592, 203, 202, 19972, 19704, 203, 202, 979, 456, 328, 1149, 44, 357, 202, 16129, 280, 94, 77, 34, 997, 7607, 346, 357, 202, 270, 280, 629, 26, 94, 77, 35, 1130, 357, 202, 416, 280, 629, 26, 94, 77, 36, 1130, 357, 202, 325, 25680, 646, 328, 18673, 44, 355, 202, 19972, 77, 16129, 79, 280, 4803, 6764, 265, 346, 357, 202, 19972, 77, 16129, 997, 669, 81, 7568, 26, 21617, 26, 376, 30, 943, 829, 829, 203, 202, 601, 18673, 203, 589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 0, 1, 1, 1, 3, 0, 1, 1, 5, 6, 6, 6, 4, 5, 4, 3, 3, 4, 2, 2, 5, 6, 6, 6, 4, 5, 4, 3, 3, 4, 1, 1, 1, 3, 3, 6, 5, 6, 3, 3, 10, 9, 9, 9, 9, 9, 7, 7, 9, 12, 11, 12, 12, 12, 10, 11, 10, 6, 6, 5, 5, 7, 10, 9, 10, 10, 10, 8, 9, 8, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 6, 5, 6, 5, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 4, 5, 2, 2, 3, 3, 3, 3, 3, 3, 3, 7, 6, 6, 8, 9, 8, 7, 7, 8, 9, 8, 2, 2, 3, 3, 0, 1, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 1, 5, 4, 4, 5, 2, 2, 3, 3, 4, 4, 3, 3, 3, 7, 6, 6, 8, 12, 11, 12, 11, 11, 10, 11, 10, 11, 10, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 4, 2, 2, 3, 3, 3, 3, 3, 3, 3, 7, 6, 10, 9, 10, 9, 9, 8, 4, 4, 7, 6, 6, 8, 10, 9, 10, 9, 4, 4, 7, 6, 6, 8, 10, 9, 10, 9, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 10, 9, 10, 9, 8, 8, 10, 10, 10, 4, 4, 9, 8, 9, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 7, 2, 2, 3, 3, 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, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 3, 3, 0, 0, 2, 1, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 1, 2, 2, 11, 11, 0, 12, 12, 1, 2, 2, 2, 2, 12, 12, 0, 13, 13, 1, 2, 13, 13, 0, 14, 14, 1, 2, 2, 2, 2, 14, 14, 0, 0, 0, 15, 15, 0, 0, 1, 2, 2, 15, 15, 0, 0, 16, 16, 1, 2, 2, 2, 2, 16, 16, 0, 17, 17, 0, 0, 17, 17, 0, 0, 18, 18, 0, 0, 18, 18, 0, 19, 19, 0, 0, 19, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 28, 28, 1, 1, 2, 1, 2, 28, 28, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 4, 4, 3, 3, 0, 29, 29, 1, 2, 1, 2, 3, 2, 2, 2, 2, 2, 29, 29, 0, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 3, 1, 4, 4, 2, 2, 0, 30, 30, 1, 1, 1, 2, 1, 2, 30, 30, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 4, 4, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 5, 5, 0, 0, 0, 1, 0, 1, 2, 1, 5, 5, 0, 0, 0, 1, 0, 1, 2, 1, 5, 5, 3, 3, 1, 1, 1, 3, 3, 3, 0, 0, 2, 0, 0, 0, 0, 0, 1, 5, 5, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 3, 0, 31 ]
[ 823, 10427, 26, 1473, 711, 284, 5881, 284, 10427, 443, 284, 5881, 284, 665, 1156, 1664, 3207, 784, 30, 14573, 30, 786, 711, 291, 630, 32, 37408, 280, 14573, 291, 630, 32, 853, 280, 786, 291, 630, 32, 2171, 280, 330, 36, 37, 38, 39, 40, 41, 42, 43, 70, 29861, 21730, 2473, 1809, 26, 853, 27, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 630, 32, 853, 29, 784, 32, 37408, 284, 665, 1156, 4923, 3207, 784, 30, 2455, 711, 291, 310, 81, 4923, 280, 13593, 26, 784, 32, 2171, 30, 2455, 32, 2171, 27, 291, 415, 310, 81, 4923, 6901, 34, 44, 324, 442, 310, 81, 4923, 291, 442, 13593, 26, 784, 32, 37408, 30, 2455, 32, 37408, 27, 203, 823, 447, 3084, 26, 1473, 711, 284, 5881, 284, 447, 3084, 443, 284, 5881, 284, 665, 1156, 1664, 3207, 784, 30, 16286, 711, 291, 630, 32, 12258, 280, 16286, 284, 665, 1156, 1731, 3207, 784, 711, 291, 442, 3850, 26, 784, 32, 12258, 27, 203, 823, 5548, 26, 1473, 711, 284, 5881, 284, 5548, 443, 284, 5881, 284, 665, 1156, 1664, 3207, 784, 30, 16286, 711, 291, 630, 32, 12258, 280, 16286, 203, 823, 17384, 26, 1473, 711, 284, 5881, 284, 17384, 443, 284, 5881, 284, 665, 1156, 1664, 3207, 784, 30, 16286, 711, 291, 630, 32, 12258, 280, 16286, 291, 630, 32, 6557, 280, 29281, 265, 32, 6557, 81, 21929, 81, 12258, 26, 12258, 27, 284, 665, 1156, 1837, 3207, 784, 30, 4091, 711, 291, 442, 630, 32, 6557, 848, 4091, 32, 6557, 284, 665, 1156, 300, 3207, 784, 30, 4091, 711, 291, 442, 630, 32, 6557, 2377, 4091, 32, 6557, 284, 665, 1156, 2159, 3207, 784, 30, 4091, 711, 291, 442, 630, 32, 6557, 333, 4091, 32, 6557, 284, 665, 1156, 274, 3207, 784, 30, 4091, 711, 291, 442, 630, 32, 6557, 2511, 4091, 32, 6557, 284, 665, 1156, 3685, 3207, 784, 30, 4091, 711, 291, 442, 630, 32, 6557, 610, 4091, 32, 6557, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 313, 6802, 27140, 466, 26, 784, 32, 12258, 34607, 11263, 5115, 466, 26, 784, 32, 6557, 27, 284, 665, 438, 81, 9321, 81, 3887, 26, 784, 711, 291, 442, 29281, 265, 32, 297, 81, 9321, 81, 3887, 26, 784, 32, 12258, 27, 284, 665, 438, 81, 11560, 694, 81, 3887, 26, 784, 711, 291, 442, 29281, 265, 32, 297, 81, 9321, 81, 3887, 26, 784, 32, 12258, 27, 203, 823, 29281, 265, 26, 1473, 711, 284, 5881, 284, 29281, 265, 443, 284, 5881, 284, 477, 16099, 284, 665, 11263, 81, 21929, 81, 12258, 26, 12258, 711, 291, 2078, 280, 8594, 4901, 36, 37, 38, 39, 40, 41, 42, 43, 70, 29861, 21730, 2473, 1809, 26, 2294, 32, 853, 27, 436, 3635, 328, 16286, 1130, 291, 438, 81, 11560, 694, 280, 1169, 2009, 2810, 77, 91, 79, 610, 2078, 77, 34, 79, 474, 595, 436, 595, 328, 2155, 26, 39, 14829, 291, 415, 646, 438, 81, 11560, 694, 44, 324, 438, 81, 11560, 694, 280, 1169, 26, 2810, 77, 91, 79, 610, 2078, 77, 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, 2, 1, 1, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 9, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 8, 7, 8, 2, 2, 3, 4, 4, 5, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 10, 9, 10, 8, 10, 9, 10, 8, 4, 4, 5, 7, 7, 6, 7, 5, 5, 5, 7, 8, 8, 4, 4, 5, 7, 9, 8, 9, 7, 9, 8, 9, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 9, 8, 9, 9, 9, 9, 9, 8, 9, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 6, 7, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 6, 7, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 6, 7, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 6, 7, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 6, 7, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 10, 10, 10, 10, 12, 11, 12, 10, 9, 9, 8, 8, 10, 9, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 7, 8, 8, 8, 8, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 7, 8, 8, 8, 8, 8, 7, 9, 8, 9, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 9, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 12, 14, 13, 14, 12, 10, 11, 11, 11, 10, 5, 5, 8, 8, 8, 7, 7, 9, 13, 12, 13, 12, 11, 11, 13, 14, 13, 12, 12, 10, 11, 11, 11, 13, 14, 13, 5, 5, 6, 7, 8, 8, 8, 6, 6, 6, 10, 10, 10, 9, 9, 13, 16, 15, 16, 15, 14, 14, 16, 17 ]
[ 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 4, 4, 3, 1, 1, 1, 2, 3, 2, 3, 3, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 3, 2, 1, 4, 4, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 4, 4, 2, 1, 0, 1, 2, 1, 0, 3, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 3, 3, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 4, 4, 3, 1, 1, 1, 2, 2, 2, 3, 3, 0, 0, 2, 1, 1, 2, 2, 4, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 2, 1, 1, 2, 2, 4, 4, 5, 1, 1, 1, 2, 2, 2, 5, 5, 0, 0, 2, 1, 1, 2, 2, 4, 4, 6, 1, 1, 1, 2, 2, 2, 6, 6, 0, 0, 2, 1, 1, 2, 2, 4, 4, 7, 1, 1, 1, 2, 7, 7, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 4, 4, 8, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 9, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 4, 4, 1, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2 ]
[ 1070, 484, 40, 84, 1188, 516, 40, 52, 203, 465, 15798, 203, 823, 3717, 8177, 8457, 26, 18986, 32, 7233, 711, 284, 5881, 1006, 1133, 30, 8227, 461, 7291, 29287, 9592, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 87, 40, 84, 280, 516, 40, 52, 346, 284, 665, 894, 81, 1003, 26, 784, 711, 291, 5881, 1006, 1133, 29287, 9592, 291, 1133, 280, 630, 32, 87, 40, 84, 32, 1003, 26, 35, 30, 225, 40, 34, 27, 291, 630, 32, 5299, 26, 40, 34, 30, 1133, 27, 284, 665, 894, 81, 7670, 26, 784, 711, 291, 5881, 1006, 8227, 29287, 9592, 291, 8227, 280, 630, 32, 87, 40, 84, 32, 7670, 26, 35, 30, 225, 40, 34, 27, 291, 630, 32, 5299, 26, 40, 34, 30, 8227, 27, 284, 665, 894, 81, 8018, 26, 784, 711, 291, 5881, 1006, 7291, 29287, 9592, 291, 7291, 280, 630, 32, 87, 40, 84, 32, 1003, 26, 35, 30, 225, 40, 34, 27, 291, 630, 32, 5299, 26, 40, 34, 30, 7291, 27, 284, 665, 894, 81, 1508, 81, 1998, 7670, 26, 784, 711, 291, 273, 302, 280, 630, 32, 87, 40, 84, 32, 1508, 81, 1998, 7670, 26, 34, 30, 225, 36, 42, 32, 34, 35, 30, 429, 39, 34, 30, 225, 40, 34, 27, 291, 630, 32, 47628, 26, 25076, 30, 225, 39, 38, 30, 7715, 47, 37, 27, 203, 823, 506, 8335, 26, 18986, 32, 7233, 711, 284, 5881, 32363, 29287, 9592, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 87, 40, 84, 280, 516, 40, 52, 346, 284, 665, 894, 81, 29222, 81, 416, 23203, 26, 784, 711, 291, 5881, 1006, 37300, 943, 23203, 17686, 9592, 291, 3097, 284, 665, 894, 81, 14298, 81, 29222, 81, 5486, 14658, 26, 784, 711, 291, 3097, 284, 665, 894, 81, 29222, 81, 13886, 26, 784, 711, 291, 3097, 203, 823, 43789, 26, 18986, 32, 7233, 711, 284, 5881, 1006, 23105, 29287, 9592, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 87, 40, 84, 280, 516, 40, 52, 346, 284, 665, 894, 81, 12094, 81, 43636, 81, 3695, 26, 784, 711, 291, 5881, 1006, 23105, 25683, 8775, 17686, 9592, 291, 341, 1173, 280, 630, 32, 87, 40, 84, 32, 12094, 81, 43636, 81, 3695, 26, 37, 40, 34, 30, 225, 40, 34, 30, 225, 37, 37, 34, 30, 225, 35, 34, 27, 291, 630, 32, 47628, 26, 105, 1173, 30, 429, 39, 30, 7715, 47, 36, 27, 203, 823, 33634, 4897, 26, 18986, 32, 7233, 711, 284, 5881, 12962, 4897, 29287, 9592, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 87, 40, 84, 280, 516, 40, 52, 346, 284, 665, 894, 81, 18279, 81, 47549, 26, 784, 711, 291, 5282, 280, 630, 32, 87, 40, 84, 32, 18279, 81, 47549, 26, 39, 38, 41, 34, 30, 225, 37, 39, 30, 225, 39, 27, 291, 630, 32, 47628, 26, 1804, 30, 225, 43, 34, 37, 38, 30, 7715, 47, 39, 27, 203, 823, 1336, 9561, 26, 18986, 32, 7233, 711, 284, 5881, 3010, 40161, 9592, 284, 665, 14553, 26, 784, 711, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 8, 9, 8, 8, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 8, 9, 8, 8, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 8, 9, 8, 8, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 8, 9, 8, 8, 9, 9, 9, 9, 9, 8, 8, 10, 10, 8, 8, 9, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 8, 8, 7, 7, 8, 9, 7, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 4, 4, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 4, 4, 7, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 7, 7, 9, 7, 7, 8, 9, 7, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 9, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 9, 7, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 2, 2, 3, 4, 5, 4, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 7, 7, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 2, 1, 0, 3, 3, 1, 2, 0, 1, 2, 2, 3, 3, 1, 1, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 4, 4, 2, 0, 1, 2, 2, 4, 4, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 0, 5, 5, 1, 2, 0, 1, 2, 2, 5, 5, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 2, 1, 0, 6, 6, 1, 2, 0, 1, 2, 2, 6, 6, 1, 1, 2, 4, 4, 1, 2, 1, 2, 1 ]
[ 9592, 203, 12768, 35662, 22764, 19809, 1077, 10580, 17829, 19560, 203, 9592, 203, 465, 5237, 203, 3731, 32, 983, 32, 1689, 10198, 683, 203, 21, 3731, 32, 983, 32, 1689, 463, 54, 16406, 359, 1736, 13130, 978, 31, 35, 32, 41, 1736, 13130, 978, 1736, 12913, 683, 203, 3731, 32, 983, 32, 1689, 463, 54, 16406, 359, 1736, 13130, 978, 31, 35, 32, 41, 1736, 13130, 978, 1736, 2282, 683, 203, 465, 354, 17632, 32, 12913, 203, 465, 354, 17632, 32, 2282, 203, 1070, 354, 17632, 32, 12913, 1188, 319, 203, 465, 12643, 619, 6121, 203, 465, 41879, 1146, 203, 21, 1070, 41879, 1146, 1188, 7680, 32, 3615, 32, 4189, 1188, 1344, 203, 1070, 354, 17632, 32, 359, 820, 32, 1707, 7099, 3763, 1188, 22066, 203, 70, 1754, 1408, 81, 39991, 280, 2107, 496, 81, 314, 1195, 496, 81, 426, 1195, 1517, 1195, 2895, 1195, 6586, 81, 1347, 1195, 1676, 81, 770, 1195, 8151, 81, 770, 1195, 28862, 81, 770, 1195, 520, 81, 1363, 1195, 520, 81, 33160, 1195, 19871, 35, 1195, 9059, 81, 314, 1195, 2135, 81, 751, 267, 81, 770, 1195, 2135, 81, 751, 267, 81, 1003, 1195, 2135, 81, 639, 81, 2468, 1195, 5066, 81, 5571, 1195, 5066, 81, 770, 1195, 19871, 36, 1195, 2135, 81, 5066, 81, 639, 785, 203, 2206, 14279, 13342, 32, 67, 34293, 711, 27036, 67, 20837, 1705, 711, 284, 1524, 43935, 264, 588, 6753, 2993, 7932, 2993, 291, 2599, 26, 5324, 2166, 283, 16369, 291, 588, 784, 32, 36566, 26, 34, 27, 291, 588, 784, 32, 27267, 264, 203, 43432, 2993, 20494, 12126, 4498, 29033, 9714, 2993, 284, 588, 608, 3129, 291, 2599, 26, 5324, 1811, 30, 630, 42690, 630, 32, 470, 2136, 4735, 26, 784, 32, 58, 1811, 27, 291, 630, 32, 470, 2136, 10053, 26, 784, 32, 21605, 915, 27, 203, 43930, 433, 2993, 27016, 13053, 10146, 9133, 241, 1077, 10175, 19560, 2993, 284, 588, 1106, 287, 264, 1524, 7932, 2993, 291, 2599, 26, 5324, 3711, 1572, 30, 630, 14585, 1664, 3207, 98, 958, 630, 32, 3615, 3711, 280, 6207, 3711, 291, 630, 32, 1567, 3711, 280, 1692, 3711, 291, 630, 32, 1664, 10816, 346, 284, 588, 2657, 1559, 225, 630, 32, 18476, 3173, 26, 878, 32, 3602, 59, 958, 588, 19144, 39248, 291, 630, 32, 8939, 280, 10653, 20837, 1705, 26, 784, 32, 3615, 3711, 32, 8939, 27, 291, 408, 3615, 20837, 1705, 26, 784, 32, 3615, 3711, 32, 2895, 27, 291, 3454, 5324, 280, 22066, 32, 67, 34233, 26, 878, 32, 23475, 27, 291, 3454, 21628, 280, 22066, 32, 67, 34233, 26, 878, 32, 3602, 4241, 27, 291, 3454, 7464, 280, 22066, 32, 67, 34233, 26, 878, 32, 40030, 27, 291, 9286, 280, 22066, 32, 2150, 814, 291, 5102, 280, 22066, 32, 67, 48587, 346, 291, 5102, 32, 21857, 26, 2168, 26, 878, 32, 4975, 779, 471, 225, 36, 30, 225, 34, 27, 291, 5102, 32, 21857, 26, 784, 32, 8939, 30, 225, 36, 30, 225, 35, 27, 291, 5102, 32, 21857, 26, 2168, 26, 878, 32, 13001, 471, 225, 37, 30, 225, 34, 27, 291, 5102, 32, 21857, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 3, 5, 5, 5, 5, 5, 4, 4, 5, 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, 0, 5, 4, 5, 5, 3, 4, 4, 4, 4, 3, 5, 6, 5, 5, 5, 6, 5, 6, 6, 5, 5, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 1, 2, 1, 4, 4, 2, 2, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 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, 3, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 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, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 5, 5, 5, 2, 2, 6, 6, 6, 0, 0, 2, 7, 7, 0, 7, 7, 7, 3, 8, 0, 0, 1, 1, 2, 9, 9, 0, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 0, 2, 4, 4, 4, 4, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 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, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 0, 1, 1, 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, 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, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 8, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14 ]
[ 1070, 7138, 1188, 7138, 203, 823, 677, 67, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 16607, 81, 266, 81, 16609, 280, 225, 34, 291, 630, 32, 3494, 81, 266, 81, 16609, 280, 225, 34, 291, 630, 32, 35683, 81, 3707, 280, 1605, 291, 630, 32, 16609, 81, 1517, 280, 330, 6876, 25, 291, 630, 32, 1517, 81, 8119, 280, 7138, 32, 2174, 922, 20834, 15339, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 683, 291, 630, 32, 297, 81, 6008, 280, 2933, 291, 630, 32, 35683, 81, 3494, 280, 1605, 284, 665, 1974, 81, 1003, 26, 784, 711, 291, 630, 32, 1517, 81, 8119, 280, 7138, 32, 2174, 922, 20834, 15339, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 683, 284, 665, 420, 99, 81, 1676, 26, 784, 711, 291, 630, 32, 16609, 81, 1517, 280, 330, 1676, 25, 291, 630, 32, 1877, 81, 1003, 346, 284, 665, 420, 99, 81, 2679, 26, 784, 711, 291, 630, 32, 16609, 81, 1517, 280, 330, 10687, 25, 291, 630, 32, 1877, 81, 1003, 346, 291, 630, 32, 16607, 81, 266, 81, 16609, 280, 225, 34, 291, 3555, 26, 784, 32, 35683, 81, 3707, 2867, 1130, 291, 3555, 26, 784, 32, 35683, 81, 3494, 2867, 1130, 284, 665, 420, 99, 81, 2055, 26, 784, 711, 291, 630, 32, 16609, 81, 1517, 280, 330, 2055, 25, 291, 630, 32, 1877, 81, 1003, 346, 284, 665, 420, 99, 81, 6008, 26, 784, 711, 291, 630, 32, 297, 81, 6008, 280, 2933, 284, 665, 420, 99, 81, 19796, 26, 784, 711, 291, 630, 32, 297, 81, 6008, 280, 3177, 284, 665, 420, 99, 81, 2524, 26, 784, 30, 496, 711, 291, 630, 32, 16607, 81, 266, 81, 16609, 1454, 35, 291, 630, 32, 35683, 81, 3707, 32, 1689, 26, 496, 27, 284, 665, 420, 99, 81, 12890, 26, 784, 30, 496, 711, 291, 630, 32, 16607, 81, 266, 81, 16609, 5912, 35, 291, 630, 32, 35683, 81, 3707, 32, 2546, 26, 496, 27, 284, 665, 420, 99, 81, 678, 2524, 26, 784, 30, 496, 711, 291, 630, 32, 3494, 81, 266, 81, 16609, 1454, 35, 291, 630, 32, 35683, 81, 3494, 32, 1689, 26, 496, 27, 284, 665, 420, 99, 81, 678, 12890, 26, 784, 30, 496, 711, 291, 630, 32, 3494, 81, 266, 81, 16609, 5912, 35, 291, 630, 32, 35683, 81, 3494, 32, 2546, 26, 496, 27, 284, 665, 622, 81, 16609, 81, 1517, 26, 784, 711, 291, 442, 2726, 21225, 438, 2149, 4558, 2149, 32, 2149, 25726, 884, 2442, 25, 400, 638, 1643, 26, 784, 32, 16609, 81, 1517, 30, 630, 32, 1517, 81, 8119, 30, 630, 32, 16607, 81, 266, 81, 16609, 490, 284, 665, 622, 81, 16609, 81, 6008, 26, 784, 711, 291, 442, 630, 32, 297, 81, 6008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 10, 11, 10, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 10, 11, 10, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 6, 9, 8, 9, 9, 9, 7, 7, 4, 4, 6, 9, 8, 9, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 10, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 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 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 1, 0, 0, 2, 2, 2, 1, 1, 4, 4, 1, 0, 0, 2, 2, 2, 1, 1, 4, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 2, 2, 0, 0, 4, 4, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 2, 2, 2, 0, 0, 4, 4, 7, 1, 1, 1, 2, 1, 2, 3, 2, 7, 7, 0, 2, 2, 2, 2, 2, 0, 2, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 8, 1, 1, 1, 2, 1, 2, 3, 2, 8, 8, 0, 2, 2, 2, 2, 2, 0, 2, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 9, 1, 1, 1, 1, 2, 1, 2, 3, 2, 9, 9, 0, 2, 2, 2, 2, 2, 0, 2, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 10, 1, 1, 1, 1, 2, 1, 2, 3, 2, 10, 10, 0, 2, 2, 2, 2, 2, 0, 2, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 11, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 2, 2, 2, 2, 1, 4, 4, 12, 1, 1, 1, 1, 2, 1, 2, 12, 12, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 49093, 1188, 319, 261, 203, 1070, 533, 4072, 32, 1580, 32, 1439, 81, 1357, 1188, 3772, 1104, 30, 5238, 1104, 750, 203, 823, 2252, 21768, 8589, 1104, 26, 3772, 1104, 8063, 334, 665, 1156, 1664, 3207, 630, 30, 803, 2516, 8063, 284, 2599, 26, 2252, 21768, 8589, 1104, 30, 630, 6804, 505, 1664, 16369, 284, 630, 32, 761, 2516, 280, 803, 2516, 284, 630, 1114, 1986, 280, 1665, 334, 665, 4793, 26, 630, 8063, 284, 1326, 81, 605, 280, 5238, 1104, 750, 346, 284, 1326, 81, 605, 32, 1877, 26, 301, 330, 761, 2516, 950, 630, 32, 761, 2516, 320, 829, 284, 630, 1114, 1986, 280, 630, 32, 3160, 49042, 1972, 26, 1326, 81, 605, 30, 13687, 330, 12436, 81, 15825, 81, 7230, 25, 829, 334, 665, 5170, 26, 630, 8063, 284, 442, 630, 1114, 1986, 203, 589, 8571, 982, 21768, 8589, 1104, 26, 803, 2516, 8063, 334, 1326, 280, 2252, 21768, 8589, 1104, 26, 803, 2516, 829, 334, 1326, 32, 2130, 346, 334, 442, 1326, 32, 1397, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 9, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 4, 4, 8, 8, 7, 8, 7, 7, 8, 11, 11, 11, 9, 10, 11, 11, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 8, 2, 2, 3, 4, 4, 4, 3, 3, 5, 6, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 7, 6, 2, 2, 5, 6, 5, 2, 2, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 4, 4, 5, 5, 0, 5, 5, 0, 0, 0, 6, 6, 1, 1, 1, 2, 2, 1, 2, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 7, 7, 1, 1, 1, 1, 2, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3738, 203, 465, 22977, 203, 465, 1671, 203, 465, 5741, 203, 465, 26313, 203, 465, 1619, 1356, 203, 1070, 35094, 1188, 7360, 30, 33845, 203, 1070, 13625, 1188, 31466, 203, 465, 456, 25756, 261, 203, 465, 19330, 32, 1356, 32, 3376, 619, 309, 81, 3376, 203, 465, 19330, 32, 1356, 32, 94, 25756, 619, 309, 81, 94, 25756, 203, 465, 19330, 32, 1356, 32, 3926, 619, 309, 81, 3926, 203, 465, 19330, 32, 1356, 32, 1163, 619, 309, 81, 1163, 203, 465, 19330, 32, 1356, 32, 2076, 2423, 619, 309, 81, 2076, 2423, 203, 465, 19330, 32, 1356, 32, 10459, 619, 309, 81, 10459, 203, 465, 19330, 32, 1356, 32, 31113, 550, 619, 309, 81, 31113, 550, 203, 465, 19330, 32, 14806, 619, 309, 81, 14806, 203, 465, 19330, 32, 13285, 619, 309, 81, 13285, 203, 465, 19330, 32, 2282, 619, 309, 81, 2282, 203, 465, 19330, 32, 1567, 4891, 619, 309, 81, 1567, 4891, 203, 465, 19330, 32, 40264, 619, 309, 81, 40264, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 390, 994, 97, 32330, 26, 101, 81, 1163, 32, 1063, 711, 284, 5881, 284, 399, 390, 994, 97, 32330, 4575, 312, 3443, 432, 28546, 706, 32, 284, 5881, 284, 665, 1156, 1664, 3207, 784, 30, 4921, 96, 30, 3570, 47, 2521, 711, 291, 309, 81, 1163, 32, 1063, 3667, 1664, 3207, 784, 30, 3570, 27, 291, 630, 32, 983, 280, 309, 81, 2282, 32, 89, 47180, 26, 1515, 96, 27, 291, 1519, 280, 309, 81, 2282, 32, 89, 47180, 26, 784, 32, 983, 30, 330, 5772, 97, 32, 94, 25756, 683, 291, 1992, 891, 280, 630, 32, 371, 5191, 5482, 463, 1110, 891, 683, 291, 630, 32, 94, 25756, 280, 456, 25756, 32, 1676, 26, 983, 30, 5070, 23078, 47, 1815, 30, 1769, 81, 43093, 47, 35, 36, 42, 27, 291, 630, 32, 94, 25756, 32, 470, 81, 1110, 891, 26, 1110, 891, 27, 291, 630, 32, 94, 25756, 81, 3028, 280, 630, 32, 94, 25756, 32, 1676, 81, 1199, 26, 84, 25, 3028, 683, 291, 630, 32, 94, 25756, 81, 7982, 280, 630, 32, 94, 25756, 32, 1676, 81, 1199, 26, 84, 3464, 87, 3929, 683, 291, 1289, 1055, 280, 630, 32, 371, 5191, 5482, 463, 39274, 683, 291, 630, 32, 42913, 280, 1665, 415, 1289, 1055, 813, 390, 994, 97, 32330, 35182, 26, 784, 27, 291, 623, 630, 32, 94, 25756, 32, 2409, 346, 619, 816, 536, 44, 324, 630, 32, 3028, 81, 29074, 280, 816, 536, 32, 4597, 26, 784, 32, 94, 25756, 81, 3028, 39336, 9150, 785, 324, 630, 32, 7982, 81, 29074, 280, 816, 536, 32, 4597, 26, 784, 32, 94, 25756, 81, 7982, 39336, 9150, 785, 291, 665, 3752, 91, 2262, 324, 630, 32, 94, 25756, 32, 5207, 346, 324, 630, 32, 94, 25756, 32, 2679, 346, 291, 630, 32, 267, 3507, 91, 26, 3507, 91, 27, 284, 477, 16099, 284, 477, 101, 81, 1163, 32, 2957, 589, 26, 426, 1057, 5772, 366, 1369, 683, 284, 665, 617, 5772, 366, 1369, 81, 2957, 15312, 2262, 291, 30213 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 0, 0, 1, 1, 3, 4, 3, 4, 2, 2, 3, 3, 0, 1, 1, 3, 4, 3, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 3, 4, 3, 4, 2, 2, 3, 3, 0, 1, 1, 3, 4, 3, 4, 2, 2, 3, 3, 0, 1, 1, 3, 4, 3, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 3, 4, 3, 4, 2, 2, 3, 3, 0, 1, 1, 3, 4, 3, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 3, 4, 2, 2, 3, 3, 0, 1, 1, 3, 4, 2, 2, 3, 3, 0, 1, 1, 3, 4, 2, 2, 3, 3, 0, 1, 1, 3, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 3, 4, 2, 2, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 9, 9, 8, 9, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 9, 9, 8, 9, 9, 8, 9, 9, 8, 4, 4, 6, 6, 9, 9, 8, 9, 9, 8, 10, 9, 10, 8, 8, 10, 10, 10, 10, 10, 10, 4, 4, 7, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 4, 4, 7, 8, 8, 6, 6, 9, 8, 9, 8, 9, 8, 8, 10, 9, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 4, 4, 8, 9, 9, 7, 8, 8, 8, 8, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 4, 4, 7, 6, 6, 8, 9, 9, 9, 8, 10, 10, 4, 4, 7, 8, 6, 6, 7, 7, 8, 7, 7, 9, 9, 9, 9, 9, 10, 9, 4, 4, 5, 11, 12, 12, 10, 11, 10, 8, 8, 10, 5, 5, 5, 9, 10, 10, 10, 8, 8, 12, 11, 12, 11, 13, 12, 13, 13, 13, 13, 11, 11, 11, 6, 6, 9, 10, 10, 10, 8, 8, 12, 11, 12, 11, 13, 12, 13, 13, 13, 13, 11, 11, 11, 4, 4, 5, 6, 6, 5, 5, 10, 11, 11, 9, 10, 9, 6, 6, 10, 11, 11, 9, 10, 9, 4, 4, 7, 8, 8, 8, 7, 8, 8, 7, 2, 2, 5, 3, 3, 7, 7, 7, 6, 7, 7, 6, 8, 7, 9, 9, 9, 9, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 7, 7, 7, 7, 7, 7, 0, 8, 8, 8, 8, 0, 9, 9, 0, 0, 0, 10, 10, 0, 2, 0, 4, 1, 1, 2, 2, 0, 11, 11, 0, 2, 0, 4, 4, 1, 1, 2, 2, 2, 0, 12, 12, 0, 2, 0, 4, 1, 1, 2, 2, 0, 13, 13, 0, 2, 0, 4, 1, 1, 2, 2, 0, 14, 14, 0, 2, 0, 4, 4, 1, 1, 2, 2, 2, 0, 15, 15, 0, 2, 0, 4, 1, 1, 2, 2, 0, 16, 16, 0, 2, 0, 4, 4, 1, 1, 2, 2, 2, 0, 17, 17, 0, 2, 1, 1, 2, 2, 0, 18, 18, 0, 2, 1, 1, 2, 2, 0, 19, 19, 0, 2, 1, 1, 2, 2, 0, 20, 20, 0, 2, 2, 1, 1, 2, 2, 2, 0, 21, 21, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 23, 23, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 23, 23, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 3, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 10, 0, 2, 2, 0, 2, 1, 0, 0, 0, 10, 10, 10, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 3, 3, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 4, 4, 11, 1, 2, 11, 11, 0, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2 ]
[ 1070, 2599, 21143, 32, 4882, 1188, 19205, 203, 1070, 2599, 21143, 1188, 2813, 81, 2304, 203, 823, 15107, 2755, 7233, 26, 7233, 711, 284, 665, 894, 81, 2029, 36, 1217, 26, 784, 711, 291, 2761, 81, 280, 3447, 1217, 563, 3447, 39278, 563, 313, 10444, 392, 313, 1206, 28195, 563, 330, 1365, 11481, 308, 7880, 27, 1446, 21028, 291, 2799, 280, 301, 324, 313, 1217, 563, 301, 400, 313, 2420, 563, 3447, 12172, 563, 5518, 313, 12172, 81, 1206, 563, 28254, 3890, 563, 3447, 1293, 563, 313, 419, 1546, 318, 35262, 3447, 3890, 563, 3447, 1320, 81, 681, 563, 313, 102, 4062, 14944, 6653, 324, 801, 324, 313, 1526, 81, 2029, 563, 3447, 2420, 563, 3447, 12172, 563, 5518, 313, 12172, 81, 1206, 563, 28254, 13086, 563, 3447, 28195, 32, 426, 563, 3037, 11481, 308, 7880, 27, 1446, 1540, 6653, 835, 291, 320, 291, 623, 630, 32, 725, 32, 725, 81, 1819, 2262, 324, 42976, 2467, 280, 2813, 81, 2304, 32, 2029, 36, 1217, 26, 2029, 7912, 291, 630, 32, 5299, 26, 1217, 30, 2799, 27, 284, 665, 894, 81, 2029, 36, 1217, 81, 770, 26, 784, 711, 291, 2761, 81, 280, 301, 324, 313, 1217, 563, 301, 400, 313, 39278, 563, 313, 10444, 392, 400, 313, 2232, 4524, 1070, 563, 313, 2174, 31, 35, 63, 33, 63, 392, 400, 313, 2232, 4524, 452, 563, 313, 2174, 31, 35, 63, 33, 63, 392, 400, 313, 2232, 14554, 563, 313, 2135, 81, 3368, 392, 400, 313, 1648, 4524, 1070, 563, 313, 34, 35, 33, 34, 36, 33, 36, 34, 35, 42, 392, 400, 313, 1648, 4524, 452, 563, 313, 35, 35, 33, 35, 36, 33, 36, 34, 35, 42, 392, 324, 320, 291, 320, 291, 2799, 280, 301, 324, 313, 1217, 563, 301, 400, 313, 2420, 563, 3447, 12172, 563, 5518, 313, 12172, 81, 1206, 563, 28254, 3890, 563, 3447, 1293, 563, 313, 419, 1546, 318, 35262, 3447, 3890, 563, 3447, 1320, 81, 681, 563, 313, 102, 4062, 14944, 6653, 324, 801, 324, 313, 1526, 81, 2029, 563, 301, 400, 313, 2420, 563, 301, 528, 313, 12172, 563, 428, 715, 301, 1014, 313, 3585, 563, 301, 1378, 313, 2232, 4524, 563, 3447, 23825, 563, 313, 2174, 31, 35, 63, 33, 63, 392, 313, 33597, 563, 313, 2174, 31, 35, 63, 33, 63, 3918, 1378, 313, 1648, 4524, 563, 301, 1891, 313, 23825, 563, 313, 36, 34, 35, 42, 31, 35, 36, 31, 35, 35, 70, 34, 34, 44, 34, 34, 44, 34, 34, 29, 34, 35, 44, 34, 34, 392, 1891, 313, 33597, 563, 313, 36, 34, 35, 42, 31, 34, 36, 31, 34, 35, 70, 36, 37, 44, 39, 43, 44, 39, 43, 32, 43, 43, 43, 43, 43, 43, 29, 34, 35, 44, 34, 34, 392, 1378, 801, 1378, 313, 2232, 14554, 563, 3447, 23825, 563, 313, 2174, 31, 35, 86, 33, 86, 392, 313, 33597, 563, 313, 2174, 31, 35, 86, 33, 86, 3918, 1014, 320, 715, 320, 528, 2505, 528, 313, 12172, 81, 1206, 563, 5518, 400, 320, 324, 801, 291, 320, 291, 623, 630, 32, 725, 32, 725 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 10, 10, 8, 12, 12, 10, 12, 12, 9, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 4, 4, 6, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 14, 14, 12, 11, 14, 14, 14, 14, 12, 17, 17, 15, 19, 19, 17, 19, 19, 19, 19, 13, 17, 17, 15, 19, 19, 19, 19, 17, 19, 19, 19, 13, 9, 9, 7, 7, 10, 10, 10, 10, 8, 12, 12, 10, 14, 14, 12, 11, 14, 14, 14, 14, 12, 17, 17, 15, 19, 19, 19, 19, 17, 20, 20, 20, 20, 20, 16, 13, 9, 7, 7, 4, 4, 5, 10, 11, 9, 10, 10, 10, 9, 5, 5, 9, 8, 8, 11, 11, 10, 11, 11, 11, 10, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 12, 12, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 12, 10, 12, 12, 12, 12, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 7, 7, 4, 4, 6, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 14, 14, 12, 11, 14, 14, 14, 14, 12, 17, 17, 15, 19, 19, 17, 19, 19, 19, 19, 13, 17, 17, 15, 19, 19, 19, 19, 17, 19, 19, 19, 13, 9, 9, 7, 7, 10, 10, 10, 10, 8, 9, 9, 12, 12, 10, 11, 11, 14, 14, 12, 13, 13, 14, 14, 17, 17, 15, 16, 16, 19, 19, 19, 17, 21, 21, 19, 21, 21, 21, 21, 21, 21, 21, 18, 21, 21, 19, 21, 21, 21, 21, 21, 21, 21, 16, 16, 19, 19, 19, 17, 18, 18, 21, 21, 19, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 18, 18, 21, 21, 19, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 18, 18, 16, 16, 19, 19, 19, 17, 21, 21, 19, 21, 21, 21, 21, 21, 21, 21, 18, 21, 21, 19, 21, 21, 21, 21, 21, 21, 21, 16, 16, 14, 14, 13, 13, 11, 11, 14, 14, 14, 14, 12, 11, 11, 9, 9, 7, 7, 4, 4, 5, 10, 11, 9, 10 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 7, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 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, 2, 2, 2, 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, 1, 2, 2, 2, 2, 2, 1, 1, 2, 5, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 4, 4, 2, 0, 2, 0, 2 ]
[ 465, 5741, 203, 1070, 3619, 10369, 32, 2282, 32, 1439, 81, 2516, 1188, 7402, 81, 720, 30, 7402, 81, 959, 81, 1761, 30, 40409, 203, 1070, 3619, 10369, 32, 2282, 32, 17146, 32, 2593, 81, 3963, 1188, 24448, 203, 1070, 3619, 10369, 32, 2282, 32, 7490, 32, 17146, 1188, 7402, 81, 22228, 81, 2474, 203, 1070, 3619, 10369, 32, 2282, 32, 8239, 1188, 622, 81, 2593, 81, 410, 81, 853, 30, 622, 81, 2593, 81, 878, 81, 853, 30, 622, 81, 2593, 81, 1251, 30, 1487, 81, 2142, 2274, 81, 2593, 81, 5740, 81, 668, 30, 596, 81, 452, 81, 2420, 203, 1070, 3619, 10369, 32, 11850, 4390, 32, 2593, 81, 5740, 32, 1439, 81, 2516, 1188, 3772, 81, 959, 203, 4073, 280, 5741, 32, 10579, 26, 5732, 81, 22228, 81, 2474, 27, 203, 823, 39637, 9154, 26, 5732, 81, 720, 711, 284, 665, 1156, 1664, 3207, 784, 30, 32229, 81, 7004, 711, 291, 2599, 17094, 1664, 3207, 7452, 32, 22823, 81, 68, 27917, 30, 32229, 81, 7004, 27, 284, 477, 17614, 284, 665, 645, 81, 2593, 81, 1251, 26, 6933, 30, 5592, 81, 1251, 711, 291, 7019, 280, 1605, 291, 436, 32229, 81, 5275, 328, 5592, 81, 1251, 32, 1731, 26, 2142, 47, 7452, 32, 22823, 81, 25641, 711, 324, 7019, 32, 1689, 26, 27624, 3842, 32, 1070, 81, 2593, 81, 1251, 26, 17572, 81, 5275, 490, 291, 442, 9011, 26, 7004, 27, 203, 823, 39637, 3842, 26, 5732, 81, 959, 81, 1761, 30, 40409, 711, 284, 665, 1156, 1664, 3207, 784, 30, 9468, 1717, 1516, 81, 314, 30, 2532, 30, 12373, 30, 2267, 81, 17572, 30, 6869, 30, 7112, 81, 17572, 81, 1959, 30, 5352, 81, 1299, 38, 937, 364, 40, 30, 5352, 81, 4351, 81, 10122, 30, 353, 3218, 81, 6298, 81, 4573, 30, 3218, 81, 2122, 30, 3218, 81, 1617, 81, 4573, 30, 484, 2257, 81, 3337, 30, 5750, 81, 2171, 30, 2719, 81, 17572, 81, 1959, 30, 353, 1561, 81, 17572, 81, 1959, 30, 25035, 81, 2122, 30, 25035, 81, 6298, 81, 4573, 30, 25035, 81, 1617, 81, 4573, 30, 32229, 81, 681, 711, 291, 630, 32, 9986, 280, 9468, 291, 630, 32, 314, 280, 1929, 81, 314, 291, 630, 32, 1174, 280, 2532, 291, 630, 32, 1890, 280, 12373, 291, 630, 32, 2837, 27624, 280, 2267, 81, 17572, 291, 630, 32, 7073, 280, 6869, 291, 630, 32, 6298, 27624, 1868, 280, 7112, 81, 17572, 81, 1959, 291, 630, 32, 4898, 81, 1299, 38, 937, 364, 40, 280, 5352, 81, 1299, 38, 937, 364, 40, 291, 630, 32, 4898, 81, 4351, 81, 10122, 280, 5352, 81, 4351, 81, 10122, 291, 630, 32, 3831, 81, 6298, 81, 4573, 280, 3218, 81, 6298, 81, 4573, 291, 630, 32, 3831, 81, 2122, 280, 3218, 81, 2122, 291, 630, 32, 3831, 81, 1617, 81, 4573, 280, 3218, 81, 1617, 81, 4573, 291, 630, 32, 87, 2257, 81, 3337, 280, 484, 2257, 81, 3337, 291, 630, 32, 5275, 1918, 280, 5750, 81, 2171, 291, 630, 32, 2122, 27624, 1868, 280, 2719, 81, 17572, 81, 1959, 291, 630, 32, 1617, 27624, 1868, 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, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 5, 5, 5, 4, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 9, 8, 8, 9, 8, 9, 9, 9, 9, 7, 7, 8, 8, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 7, 7, 5, 5, 6, 7, 7, 6, 6, 9, 9, 8, 9, 8, 10, 9, 11, 10, 11, 11, 11, 8, 6, 6, 10, 11, 10, 13, 13, 12, 13, 13, 13, 13, 13, 12, 13, 13, 13, 12, 5, 5, 6, 8, 9, 8, 0, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 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, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 4, 4, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 1, 6, 6, 6, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 1, 2, 2, 1, 4, 4, 4, 1, 6, 6, 6, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 7, 7, 1, 2, 1, 1, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 0, 8, 8, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 8, 8, 0, 1, 1, 1, 2, 2, 2, 5, 5, 5, 2, 2, 2, 2, 2, 2, 11, 11, 2, 2, 2, 2, 15, 15, 15, 15, 2, 2, 17, 17, 17, 17, 17, 17, 2, 2, 19, 19, 19, 19, 2, 2, 2, 21, 21, 21, 21, 2, 2, 23, 23, 2, 2, 25, 25, 25, 25, 2, 2, 27, 27, 27, 2, 2, 29, 29, 2, 2, 31, 31, 31, 31, 2, 2, 2, 33, 33, 33, 33, 2, 2, 35, 35, 2, 2, 37, 37, 37, 37, 2, 2, 39, 39, 39, 39, 2, 2, 41, 41, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 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, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0 ]
[ 1070, 13134, 1188, 8184, 81, 6460, 203, 1070, 13134, 1188, 8607, 203, 465, 6436, 203, 823, 15749, 6312, 44, 284, 665, 1156, 1664, 3207, 784, 30, 4345, 711, 291, 630, 3667, 3242, 280, 4345, 291, 630, 3667, 12443, 280, 1605, 291, 630, 3667, 20283, 280, 1605, 284, 665, 894, 26, 784, 30, 706, 711, 291, 6942, 81, 3239, 30, 1760, 81, 3239, 280, 630, 3667, 3242, 32, 9266, 750, 26, 605, 32, 19812, 27, 291, 630, 3667, 3242, 32, 3350, 32, 4698, 26, 12182, 81, 3239, 30, 1760, 81, 3239, 27, 291, 6942, 81, 858, 30, 1760, 81, 858, 280, 630, 3667, 3242, 32, 9266, 750, 26, 605, 32, 10855, 27, 291, 630, 3667, 12443, 280, 1760, 81, 858, 291, 630, 3667, 20283, 280, 630, 3667, 3242, 32, 3350, 32, 9356, 26, 12182, 81, 858, 27, 284, 665, 894, 81, 61, 15483, 13054, 6312, 26, 784, 30, 706, 30, 831, 711, 291, 6942, 81, 3239, 30, 1760, 81, 3239, 280, 630, 3667, 3242, 32, 9266, 750, 26, 605, 32, 6189, 27, 291, 15932, 47, 10495, 81, 6460, 32, 10495, 81, 695, 81, 5020, 26, 784, 3667, 3242, 32, 3350, 30, 6942, 81, 3239, 30, 1760, 81, 3239, 30, 6677, 47, 93, 27, 291, 442, 15932, 284, 665, 894, 20329, 661, 23096, 10922, 26, 784, 30, 706, 711, 291, 630, 32, 858, 26, 605, 27, 291, 630, 3667, 20283, 31445, 280, 313, 429, 225, 39, 34, 34, 34, 34, 3107, 284, 665, 25365, 4161, 26, 784, 711, 291, 415, 2069, 26, 784, 3667, 20283, 27, 863, 225, 34, 44, 324, 442, 8607, 32, 48494, 81, 4873, 26, 784, 3667, 12443, 30, 630, 3667, 20283, 27, 284, 665, 14222, 26, 784, 711, 291, 442, 8607, 32, 15924, 81, 5020, 26, 784, 3667, 12443, 30, 630, 3667, 20283, 30, 13316, 47, 1815, 27, 284, 665, 14222, 81, 11754, 40864, 26, 784, 711, 291, 273, 280, 630, 3667, 12443, 32, 3227, 440, 429, 225, 39, 34, 34, 34, 34, 42736, 7134, 657, 291, 273, 280, 273, 32, 3227, 440, 225, 39, 34, 34, 34, 34, 39216, 1461, 1347, 657, 291, 298, 280, 6436, 32, 2991, 26, 784, 3667, 20283, 27, 291, 298, 77, 98, 610, 313, 429, 225, 39, 34, 34, 34, 34, 28250, 280, 313, 7134, 20, 291, 298, 77, 98, 610, 313, 225, 39, 34, 34, 34, 34, 29, 28250, 280, 313, 1347, 20, 291, 442, 8607, 32, 88, 35, 81, 5020, 26, 102, 30, 298, 30, 3400, 81, 1172, 347, 7134, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 8, 8, 7, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 8, 10, 9, 10, 8, 4, 4, 9, 10, 8, 9, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 4, 4, 8, 8, 7, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 8, 10, 9, 10, 8, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 10, 11, 9, 10, 8, 9, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 8, 7, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 8, 10, 9, 10, 8, 4, 4, 6, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 11, 10, 11, 9, 10, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 9, 10, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 8, 7, 4, 4, 8, 9, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 10, 9, 10, 8, 6, 6, 7, 5, 5, 5, 7, 9, 10, 10, 10, 9, 11, 10, 11, 9, 9, 10, 11, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 8, 10, 9, 10, 8, 4, 4, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 8, 8, 4, 4, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 8, 8, 4, 4, 5, 7, 8, 8, 8, 8, 7, 8, 7, 7, 7, 7, 9, 9, 8, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 1, 3, 3, 3, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 3, 3, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 2, 1, 4, 4, 2, 3, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 1, 2, 1, 2, 4, 4, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 3, 3, 5, 2, 1, 2, 5, 5, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 3, 3, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 4, 4, 5, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 5, 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 ]
[ 465, 2322, 30, 5237, 203, 1070, 35381, 1188, 4361, 30, 1283, 325, 6751, 203, 891, 280, 308, 35, 36, 42, 30, 225, 35, 36, 42, 27, 203, 979, 44705, 328, 2322, 32, 26366, 26, 3731, 32, 6118, 77, 35, 10794, 284, 328, 983, 280, 2322, 32, 983, 32, 2524, 26, 3731, 32, 6118, 77, 35, 614, 44705, 27, 284, 23073, 280, 2322, 32, 983, 32, 48271, 26, 266, 983, 27, 284, 963, 983, 280, 23073, 77, 34, 79, 474, 4939, 7381, 20, 474, 23073, 77, 35, 79, 284, 415, 308, 266, 983, 863, 963, 983, 461, 646, 2322, 32, 983, 32, 4658, 26, 541, 983, 27, 461, 291, 330, 7381, 25, 646, 328, 44705, 711, 291, 1596, 44, 324, 1778, 280, 4361, 32, 1676, 26, 266, 983, 27, 324, 436, 14103, 328, 1283, 325, 6751, 32, 39312, 32, 3494, 2262, 400, 415, 1283, 325, 6751, 32, 39312, 77, 16536, 79, 610, 330, 13980, 950, 528, 1626, 324, 484, 280, 1778, 1114, 371, 327, 325, 346, 324, 415, 484, 438, 646, 1665, 44, 400, 538, 325, 280, 5436, 26, 87, 32, 3028, 1157, 400, 415, 14103, 328, 538, 325, 44, 528, 415, 538, 325, 77, 16536, 79, 610, 225, 37, 44, 715, 1778, 47, 893, 32, 16547, 26, 1658, 32, 25710, 1757, 81, 35, 42, 34, 27, 528, 4348, 538, 325, 77, 16536, 79, 610, 225, 40, 44, 715, 1778, 280, 1778, 32, 16547, 26, 1658, 32, 25710, 1757, 81, 36, 41, 34, 27, 528, 4348, 538, 325, 77, 16536, 79, 610, 225, 42, 44, 715, 1778, 280, 1778, 32, 16547, 26, 1658, 32, 25710, 1757, 81, 43, 34, 27, 324, 1778, 32, 2853, 26, 266, 983, 27, 324, 1778, 32, 12301, 26, 891, 30, 4361, 32, 39361, 25138, 27, 324, 1778, 32, 2853, 26, 541, 983, 30, 330, 30671, 683, 291, 2940, 45338, 619, 538, 44, 324, 1459, 463, 18506, 1487, 23189, 436, 330, 474, 44705, 474, 330, 769, 330, 474, 538, 32, 466, 731, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 3, 2, 2, 4, 4, 4, 3, 3, 4, 4, 4, 3, 0, 1, 1, 1, 1, 3, 4, 3, 6, 5, 6, 4, 5, 4, 1, 1, 5, 4, 4, 7, 8, 6, 7, 6, 9, 8, 9, 7, 8, 7, 6, 6, 2, 2, 4, 4, 7, 8, 6, 7, 6, 7, 7, 6, 2, 2, 5, 4, 4, 7, 8, 7, 6, 6, 8, 8, 5, 5, 6, 7, 6, 2, 2, 3, 8, 8, 7, 7, 8, 6, 6, 7, 10, 11, 9, 10, 9, 10, 10, 9, 5, 5, 5, 8, 8, 6, 6, 6, 4, 3, 3, 5, 5, 5, 8, 8, 10, 11, 10, 11, 11, 10, 6, 6, 7, 7, 7, 11, 11, 10, 11, 9, 10, 9, 7, 7, 9, 13, 13, 12, 13, 11, 12, 11, 10, 10, 12, 12, 9, 9, 6, 6, 8, 8, 10, 11, 11, 11, 10, 6, 6, 7, 8, 8, 8, 7, 7, 7, 11, 10, 10, 12, 15, 14, 15, 14, 8, 8, 9, 10, 10, 11, 9, 9, 9, 11, 14, 13, 14, 13, 12, 12, 13, 11, 11, 11, 14, 17, 16, 17, 16, 18, 17, 18, 18, 18, 18, 18, 18, 16, 11, 11, 12, 15, 14, 15, 14, 13, 13, 14, 12, 12, 12, 15, 15, 17, 18, 17, 19, 18, 19, 19, 19, 19, 19, 19, 17, 11, 11, 12, 15, 14, 15, 14, 13, 13, 14, 12, 12, 12, 15, 15, 17, 18, 17, 19, 18, 19, 19, 19, 19, 19, 17, 6, 6, 9, 10, 9, 10, 10, 9, 6, 6, 9, 10, 9, 10, 9, 9, 10, 11, 11, 9, 6, 6, 9, 10, 9, 10, 10, 9, 9, 11, 11, 5, 5, 6, 7, 7, 6, 6, 6, 10, 15, 15, 15, 15, 15, 13, 13, 12, 12, 14, 14, 11, 11, 12, 13, 13, 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 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 2, 0, 3, 3, 3, 3, 0, 2, 1, 0, 0, 2, 1, 2, 1, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 5, 5, 3, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 3, 1, 1, 1, 3, 3, 3, 0, 0, 0, 1, 0, 0, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 4, 0, 0, 2, 0, 1, 1, 2, 4, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 5, 0, 0, 2, 0, 1, 1, 2, 5, 5, 5, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 3, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 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 ]
[ 21, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 20654, 203, 1070, 6550, 1356, 1188, 319, 203, 21, 708, 1449, 4772, 44, 203, 202, 589, 1156, 1664, 505, 308, 784, 30, 1509, 30, 310, 81, 1131, 30, 310, 81, 2024, 711, 357, 202, 784, 32, 1131, 280, 1509, 357, 202, 784, 32, 96, 81, 1131, 280, 310, 81, 1131, 357, 202, 784, 32, 96, 81, 2024, 280, 310, 81, 2024, 4512, 202, 21, 225, 10975, 7759, 8901, 18823, 318, 26, 355, 202, 853, 280, 6436, 32, 9880, 26, 3229, 4310, 96, 81, 1131, 30, 310, 81, 2024, 3427, 15315, 26, 1382, 7221, 32, 1163, 32, 1808, 74, 471, 636, 280, 313, 73, 392, 33187, 280, 2933, 4512, 202, 27, 357, 202, 784, 32, 84, 280, 322, 7221, 32, 4190, 26, 355, 202, 853, 280, 6436, 32, 9880, 26, 3229, 4310, 96, 81, 2024, 30, 225, 3427, 15315, 26, 1382, 7221, 32, 1163, 32, 1808, 74, 471, 636, 280, 330, 84, 370, 33187, 280, 2933, 4512, 202, 27, 357, 202, 784, 32, 2132, 280, 428, 784, 32, 73, 30, 630, 32, 84, 79, 357, 202, 21, 225, 16693, 42879, 357, 202, 784, 32, 98, 81, 107, 81, 15813, 708, 1449, 26, 70, 32, 4260, 26, 784, 32, 1131, 30, 630, 32, 73, 7283, 784, 32, 84, 27, 357, 202, 21, 225, 17759, 11329, 6018, 357, 202, 784, 32, 98, 81, 8293, 280, 394, 32, 29957, 26, 2465, 81, 106, 30, 6013, 47, 35, 27, 203, 202, 589, 8184, 81, 20933, 26, 784, 30, 533, 711, 357, 202, 21, 225, 11174, 46947, 180, 21975, 3530, 258, 10679, 10205, 357, 202, 601, 429, 70, 32, 6009, 26, 70, 32, 751, 26, 784, 107, 32, 3229, 77, 34, 5727, 533, 1130, 203, 202, 589, 622, 81, 8030, 81, 12525, 26, 784, 30, 533, 30, 19302, 30, 2834, 30, 16302, 81, 6381, 711, 357, 202, 8030, 280, 630, 32, 10495, 81, 20933, 26, 107, 27, 474, 225, 34, 32, 39, 28, 1582, 45444, 784, 32, 73, 326, 36, 547, 1036, 1157, 357, 202, 1270, 44, 355, 202, 12525, 280, 16302, 81, 6381, 26, 8030, 30, 630, 32, 2132, 30, 19302, 27, 357, 202, 7343, 44, 355, 202, 1216, 440, 924, 44, 1289, 16302, 667, 657, 357, 202, 1824, 44, 355, 202, 601, 308, 8030, 30, 7775, 27, 203, 202, 589, 1048, 81, 3306, 26, 784, 30, 533, 711, 357, 202, 21, 225, 14391, 16441, 357, 202, 601, 394, 32, 6009, 26, 70, 32, 34080, 26, 784, 32, 98, 81, 8293, 30, 533, 490, 203, 325, 24095, 1831, 18018, 203, 202, 21, 225, 24211, 13265, 4839, 203, 202, 3239, 81, 106, 30, 5683, 81, 107, 280, 2454, 81, 40368, 282, 35, 34, 81, 5613, 26, 100, 20, 1569, 86, 1966, 31, 978, 33, 605, 81, 4432, 22801, 657, 203, 202, 858, 81, 106, 30, 894, 81, 107, 280, 2454, 81, 40368, 282, 35, 34, 81, 5613, 26, 100, 20, 1569, 5613, 33, 40368, 282, 31, 35, 34, 31, 29707, 31, 978, 33, 858, 81, 4432, 657, 203, 202, 3239, 81, 106, 280, 5683, 81, 106, 517 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 6, 5, 6, 4, 4, 2, 2, 6, 5, 6, 6, 6, 4, 4, 5, 5, 2, 2, 6, 5, 6, 6, 6, 4, 4, 5, 5, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 5, 4, 4, 10, 9, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 7, 8, 7, 10, 10, 9, 10, 8, 9, 9, 9, 7, 6, 5, 2, 4, 4, 4, 3, 3, 4, 4, 3, 3, 2, 6, 6, 4, 7, 7, 7, 7, 7, 6, 8, 7, 7, 12, 11, 12, 12, 13, 13, 13, 13, 14, 14, 13, 9, 10, 9, 12, 12, 11, 12, 10, 11, 11, 11, 9, 7, 7, 6, 8, 8, 8, 7, 7, 8, 8, 2, 2, 6, 6, 6, 6, 6, 4, 5, 7, 7, 7, 6, 7, 5, 7, 7, 6, 7, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 6, 6, 5, 6, 6, 6, 6, 9, 8, 9, 9, 10, 10, 9, 10, 10, 10, 10, 8, 8, 10, 10, 10, 9, 8, 8, 8, 8, 2, 2, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 4, 7, 7, 7, 6, 6, 8, 7, 6, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 7, 6, 7, 6, 11, 11, 10, 11, 11, 11, 10, 9, 7, 7, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 13, 11, 10, 9, 9, 9, 3, 3, 3, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 9, 10, 10, 9, 9, 4, 4, 4, 4, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 7, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 6, 5, 6, 6, 8, 7, 8, 9, 9, 9, 8, 9, 7, 7, 7, 1, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 2, 2, 2, 2, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6 ]
[ 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 3, 3, 3, 0, 0, 4, 4, 1, 1, 4, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 3, 3, 3, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 4, 0, 0, 0, 5, 5, 2, 2, 5, 5, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 3, 3, 1, 0, 0, 0, 5, 5, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 3, 2, 4, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 3, 0, 0, 0, 0, 4, 4, 10, 10, 10, 10, 4, 4, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 3, 1, 0, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 3, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 3, 5, 3, 3, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 7, 7, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 8, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 7, 7, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
[ 465, 2322, 32, 983, 203, 823, 6716, 3300, 2214, 2262, 284, 477, 16099, 284, 665, 31637, 26, 1163, 1290, 30, 4921, 3196, 30, 827, 3954, 30, 4567, 1996, 30, 3082, 426, 711, 291, 3500, 3300, 280, 1665, 291, 6187, 1761, 558, 280, 827, 3954, 291, 415, 827, 3954, 32, 15990, 440, 20937, 939, 10280, 324, 6187, 1761, 558, 280, 313, 20937, 939, 20, 291, 37032, 1215, 280, 2322, 32, 983, 32, 2524, 26, 1515, 3196, 30, 9111, 1359, 1290, 32, 371, 440, 6054, 392, 313, 2230, 483, 2976, 2113, 9111, 6187, 1761, 558, 474, 7286, 3300, 32, 978, 657, 291, 415, 646, 2322, 32, 983, 32, 29712, 26, 46221, 1215, 711, 324, 3636, 29986, 41648, 3300, 436, 1695, 657, 474, 313, 313, 474, 827, 3954, 474, 313, 313, 474, 26155, 1206, 2431, 657, 474, 4985, 313, 653, 78, 96, 20, 474, 26155, 6574, 7260, 2193, 6498, 657, 474, 313, 499, 313, 474, 4985, 1359, 1290, 32, 371, 440, 2062, 392, 313, 4477, 4399, 35, 657, 474, 313, 313, 474, 26155, 271, 657, 474, 313, 313, 474, 4985, 1359, 1290, 32, 371, 440, 2062, 392, 313, 4477, 4399, 36, 2131, 291, 415, 827, 3954, 32, 15990, 440, 20937, 939, 10280, 324, 645, 638, 1188, 46965, 939, 81, 3300, 324, 3500, 3300, 280, 46965, 939, 81, 3300, 32, 20937, 939, 81, 3300, 26, 1163, 1290, 30, 4921, 3196, 30, 23815, 4567, 1996, 30, 3082, 426, 30, 827, 3954, 27, 291, 4348, 827, 3954, 610, 313, 2045, 5408, 81, 36, 42, 563, 324, 645, 638, 1188, 36137, 51, 81, 36, 42, 81, 3300, 324, 3500, 3300, 280, 36137, 51, 81, 36, 42, 81, 3300, 32, 2045, 5408, 81, 36, 42, 81, 3300, 26, 1163, 1290, 30, 4921, 3196, 30, 32248, 4567, 1996, 30, 3082, 426, 27, 291, 813, 44, 324, 3636, 29986, 41648, 3300, 436, 1695, 657, 474, 313, 313, 474, 827, 3954, 474, 313, 313, 474, 4985, 26155, 3374, 646, 526, 3892, 657, 474, 4985, 313, 653, 78, 96, 20, 474, 26155, 6574, 7260, 2193, 6498, 657, 474, 313, 499, 313, 474, 4985, 1359, 1290, 32, 371, 440, 2062, 392, 313, 4477, 4399, 35, 657, 474, 313, 313, 474, 26155, 271, 657, 474, 313, 313, 474, 4985, 1359, 1290, 32, 371, 440, 2062, 392, 313, 4477, 4399, 36, 2131, 291, 442, 3500, 3300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 2, 2, 2, 1, 1, 5, 3, 3, 4, 5, 6, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 4, 4, 8, 7, 7, 5, 5, 8, 8, 7, 7, 8, 5, 5, 6, 9, 8, 9, 8, 10, 10, 10, 6, 6, 10, 10, 9, 9, 11, 11, 11, 5, 5, 8, 7, 7, 10, 11, 9, 10, 9, 10, 10, 9, 9, 9, 12, 11, 12, 11, 13, 13, 11, 13, 13, 13, 13, 9, 9, 11, 11, 10, 10, 12, 12, 12, 12, 5, 5, 6, 7, 10, 11, 9, 10, 9, 10, 10, 9, 6, 6, 8, 10, 26, 26, 26, 26, 22, 22, 24, 21, 21, 22, 20, 20, 22, 19, 19, 23, 23, 23, 18, 18, 18, 20, 21, 21, 20, 17, 17, 21, 21, 21, 21, 21, 16, 16, 18, 18, 15, 15, 15, 18, 17, 18, 17, 19, 19, 17, 19, 19, 19, 19, 14, 14, 16, 13, 13, 17, 17, 12, 12, 14, 11, 11, 11, 14, 13, 14, 13, 15, 15, 13, 15, 15, 15, 15, 5, 5, 6, 9, 8, 9, 8, 10, 10, 10, 6, 6, 8, 8, 8, 10, 10, 10, 7, 7, 10, 9, 9, 12, 12, 12, 11, 12, 12, 12, 12, 11, 12, 12, 11, 11, 12, 11, 11, 11, 12, 11, 11, 12, 11, 11, 12, 11, 6, 6, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 11, 11, 11, 11, 11, 11, 8, 8, 11, 10, 10, 13, 13, 13, 13, 13, 13, 12, 13, 13, 13, 13, 13, 13, 13, 12, 13, 13, 12, 12, 13, 12, 12, 12, 13, 12, 12, 13, 12, 6, 6, 7, 7, 7, 9, 11, 27, 27, 27, 27, 23, 23, 25, 22, 22, 23, 21, 21, 23, 20, 20, 20, 24, 24, 24, 24, 24, 19, 19, 19, 21, 22, 22, 21, 18, 18, 22, 22, 22, 22, 22, 17, 17, 19, 19, 16, 16, 16, 19, 18, 19, 18, 20, 20, 18, 20, 20, 20, 20, 15, 15, 17, 14, 14, 18, 18, 13, 13, 15, 12, 12, 12, 15, 14, 15, 14, 16, 16, 14, 16, 16, 16, 16, 5, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 4, 4, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 5, 5, 1, 1, 1, 2, 4, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 5, 0, 0, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 5, 5, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 5, 1, 1, 7, 1, 5, 5, 5, 5, 5, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 6, 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 ]
[ 1070, 376, 494, 32, 22457, 1188, 1258, 494, 30, 2854, 30, 23174, 30, 9494, 885, 203, 465, 5167, 203, 823, 11298, 44, 284, 665, 1156, 1664, 3207, 784, 30, 2968, 30, 1695, 81, 965, 711, 291, 630, 32, 2157, 280, 2968, 291, 630, 32, 1439, 81, 965, 280, 1695, 81, 965, 284, 665, 1015, 81, 761, 26, 784, 30, 4870, 30, 11246, 81, 8352, 711, 291, 1245, 280, 2156, 26, 3607, 27, 291, 2340, 280, 4870, 32, 2998, 440, 3560, 81, 751, 81, 16050, 35, 79, 291, 2340, 280, 2340, 32, 3227, 14715, 15688, 32, 2760, 392, 7746, 291, 415, 630, 32, 2157, 32, 1809, 26, 5773, 30, 23270, 32, 770, 81, 1003, 81, 800, 610, 15390, 26, 770, 3427, 998, 2262, 324, 1459, 313, 51, 47149, 436, 458, 2340, 1401, 3425, 2583, 11451, 3107, 324, 442, 1665, 291, 8616, 280, 1178, 291, 436, 1628, 328, 1245, 44, 324, 1628, 81, 8955, 81, 864, 81, 15192, 280, 2933, 324, 436, 802, 328, 11246, 81, 8352, 44, 400, 415, 802, 328, 1628, 44, 528, 1628, 81, 8955, 81, 864, 81, 15192, 280, 3177, 324, 415, 1628, 81, 8955, 81, 864, 81, 15192, 44, 400, 6122, 81, 928, 280, 1628, 32, 2998, 346, 400, 6314, 280, 23270, 26, 9941, 26, 2998, 81, 928, 77, 34, 5727, 629, 26, 2998, 81, 928, 77, 35, 5727, 15390, 26, 770, 490, 400, 8616, 32, 1689, 26, 4597, 27, 291, 19990, 280, 1605, 291, 436, 6314, 328, 8616, 44, 324, 415, 646, 6314, 32, 965, 328, 19990, 44, 400, 19990, 32, 1689, 26, 4597, 32, 965, 27, 291, 436, 1984, 328, 19990, 44, 324, 537, 81, 4597, 280, 23270, 26, 965, 30, 225, 34, 30, 15390, 26, 770, 490, 324, 436, 6314, 328, 8616, 44, 400, 415, 6314, 32, 965, 610, 1984, 44, 528, 537, 81, 4597, 32, 21261, 280, 537, 81, 4597, 32, 21261, 29, 4597, 32, 21261, 324, 630, 32, 2157, 32, 669, 26, 890, 81, 4597, 27, 324, 630, 32, 1553, 81, 965, 26, 965, 27, 291, 630, 32, 2157, 32, 9321, 346, 291, 630, 32, 2157, 32, 3375, 346, 284, 665, 1505, 81, 965, 26, 784, 30, 1984, 711, 291, 415, 646, 630, 32, 2157, 32, 1809, 26, 3839, 5052, 30, 11094, 5052, 32, 965, 610, 1984, 547, 998, 2262, 324, 540, 280, 5167, 32, 1816, 26, 784, 32, 1439, 81, 965, 474, 1984, 27, 324, 415, 646, 308, 100, 32, 1517, 81, 687, 610, 225, 38, 34, 38, 711, 400, 1334, 280, 629, 26, 100, 32, 5078, 710, 1777, 31, 2380, 3490, 400, 630, 32, 2157, 32, 669, 26, 3839, 5052, 26, 965, 30, 1334, 490, 203, 823, 23270, 26, 27398, 711, 284, 1156, 21313, 81, 1274, 505, 280, 313, 5136, 20, 284, 804, 280, 2854, 26, 4457, 47, 1815, 27, 284, 1984, 280, 23174, 346, 284, 16391, 280, 2854, 346, 284, 2340, 81, 1003, 81, 800, 280, 23174, 346, 284, 665, 1156, 1664, 3207, 784, 30, 1984, 30, 16391, 30, 2340, 81, 1003, 81, 800, 711, 291, 630, 32, 965, 280, 1984, 291, 630, 32, 21261, 280, 16391, 291, 630, 32, 770 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 8, 7, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 4, 4, 5, 10, 11, 9, 10, 9, 10, 9, 9, 11, 12, 12, 12, 12, 12, 10, 10, 12, 13, 12, 8, 7, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 4, 4, 6, 7, 4, 4, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 8, 8, 6, 6, 7, 7, 7, 8, 8, 7, 7, 7, 9, 10, 10, 9, 9, 9, 13, 13, 13, 13, 13, 13, 12, 12, 6, 6, 7, 8, 8, 8, 8, 8, 8, 7, 7, 7, 11, 11, 10, 10, 12, 13, 12, 8, 8, 10, 10, 12, 14, 14, 16, 16, 16, 15, 16, 15, 12, 14, 16, 16, 16, 15, 16, 15, 12, 14, 15, 14, 8, 8, 11, 12, 11, 12, 11, 4, 4, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 7, 8, 10, 11, 9, 9, 7, 7, 7, 11, 12, 11, 13, 12, 13, 11, 4, 4, 5, 5, 5, 5, 5, 5, 9, 9, 8, 8, 10, 11, 10, 10, 11, 10, 10, 12, 13, 12, 6, 6, 7, 7, 7, 7, 7, 7, 9, 11, 12, 10, 10, 9, 9, 9, 14, 14, 13, 14, 12, 12, 15, 15, 14, 15, 13, 15, 14, 15, 6, 6, 10, 11, 9, 10, 9, 10, 10, 10, 9, 6, 6, 9, 10, 10, 10, 9, 10, 9, 4, 4, 8, 9, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 11, 12, 10, 11, 10, 11, 11, 10, 10, 13, 12, 13, 11, 11, 10, 9, 8, 5, 5, 8, 8, 10, 11, 10, 13, 12, 13, 13, 13, 11, 11, 10, 6, 6, 7, 8, 12, 11, 12, 12, 12, 10, 10, 11, 11, 11, 9, 7, 7, 10, 10, 12, 15, 14, 15, 13, 15, 15, 15, 15, 8, 8, 12, 13, 11, 12, 11, 13, 13, 13, 14, 13, 13, 13, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 3, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 1, 1, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 3, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 3, 3, 1, 1, 1, 2, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 4, 4, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 4, 4, 0, 0, 4, 4, 7, 7, 7, 7, 7, 7, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 5, 5, 0, 2, 0, 2, 1, 1, 1, 1, 1, 5, 5, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 1, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 3, 3, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 3, 3, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 1, 4, 4, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 4, 4, 5, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 2, 5, 5, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2 ]
[ 465, 8752, 32, 557, 85, 203, 465, 8752, 32, 1262, 203, 465, 8752, 32, 30697, 203, 465, 8752, 32, 4573, 203, 589, 1477, 6725, 26, 17258, 30, 98, 711, 284, 34847, 32, 2130, 6725, 26, 98, 27, 203, 589, 3240, 4023, 47638, 26, 17258, 711, 284, 34847, 32, 4863, 4023, 47638, 346, 203, 589, 7768, 4411, 26, 8771, 711, 284, 1459, 2706, 96, 8133, 18730, 6584, 10420, 78, 96, 20, 203, 589, 2575, 26, 11215, 81, 6118, 711, 284, 8752, 32, 1262, 32, 1335, 1722, 6601, 1934, 26, 2425, 32, 1262, 32, 3602, 81, 9857, 81, 4804, 27, 284, 8752, 32, 1262, 32, 1335, 1722, 6601, 463, 2743, 53, 81, 43833, 370, 8752, 32, 1262, 32, 3602, 81, 10729, 81, 9842, 27, 284, 8752, 32, 4573, 32, 6829, 32, 6601, 4014, 299, 346, 284, 3438, 280, 8752, 32, 557, 85, 32, 2743, 53, 81, 38394, 1243, 2762, 922, 936, 57, 37, 38394, 1243, 346, 284, 8752, 32, 557, 85, 32, 2743, 53, 81, 1043, 32, 885, 1043, 1243, 26, 40, 34, 30, 8752, 32, 1262, 32, 13117, 9023, 26, 36, 36, 38, 34, 490, 284, 6486, 66, 2713, 280, 8752, 32, 30697, 32, 38394, 882, 26, 1745, 27, 284, 6486, 66, 2713, 1454, 225, 35, 87, 31, 42, 45, 284, 310, 35, 280, 8752, 32, 557, 85, 32, 2743, 53, 81, 1212, 346, 284, 310, 36, 280, 8752, 32, 557, 85, 32, 2743, 53, 81, 1212, 346, 284, 310, 35, 32, 885, 2731, 26, 34, 30, 34, 30, 34, 27, 284, 310, 36, 32, 885, 2731, 26, 35, 34, 34, 34, 30, 34, 30, 34, 27, 284, 310, 35, 32, 26357, 463, 1212, 35, 683, 284, 310, 36, 32, 26357, 463, 1212, 36, 683, 284, 5166, 280, 428, 96, 35, 30, 96, 36, 79, 284, 281, 444, 280, 8752, 32, 557, 85, 32, 2743, 53, 81, 1827, 6208, 39, 34, 807, 81, 29231, 26, 1745, 27, 284, 8752, 32, 557, 85, 32, 2743, 53, 81, 1811, 26, 85, 444, 30, 96, 35, 30, 96, 36, 27, 284, 3826, 2762, 280, 8752, 32, 557, 85, 32, 2743, 53, 81, 3525, 2762, 346, 284, 3826, 2762, 32, 7203, 26, 5459, 27, 284, 3826, 280, 3826, 2762, 32, 936, 3525, 346, 284, 337, 35, 280, 8752, 32, 557, 85, 32, 2743, 53, 81, 35442, 26, 96, 35, 27, 284, 337, 36, 280, 8752, 32, 557, 85, 32, 2743, 53, 81, 35442, 26, 96, 36, 27, 284, 34847, 35, 280, 8752, 32, 557, 85, 32, 2743, 53, 81, 828, 460, 23719, 299, 43833, 346, 284, 34847, 36, 280, 8752, 32, 557, 85, 32, 2743, 53, 81, 828, 460, 23719, 299, 43833, 346, 284, 6486, 1899, 280, 8752, 32, 557, 85, 32, 2743, 53, 81, 2775, 1899, 318, 723, 26, 1745, 30, 225, 39, 34, 27, 284, 14278, 1899, 280, 8752, 32, 557, 85, 32, 2743, 53, 81, 2775, 1899, 318, 723, 26, 1745, 30, 225, 39, 34, 27, 284, 34847, 35, 32, 1922, 12295, 26, 97, 35, 30, 6486, 66, 2713, 30, 6486, 1899, 30, 14278, 1899, 27, 284, 34847, 36, 32, 1922, 12295, 26, 97 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 2, 3, 2, 3, 2, 1, 1, 5, 6, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 6, 5, 5, 5, 5, 6, 6, 5, 0, 1, 1, 2, 3, 3, 3, 2, 1, 1, 6, 7, 5, 6, 6, 6, 6, 5, 8, 7, 8, 6, 7, 7, 7, 7, 7, 5, 2, 2, 6, 7, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 5, 7, 8, 6, 7, 7, 7, 7, 7, 5, 2, 2, 7, 8, 6, 7, 5, 6, 6, 6, 5, 2, 2, 4, 4, 9, 10, 10, 8, 9, 9, 9, 9, 9, 9, 8, 7, 7, 7, 7, 7, 6, 2, 2, 7, 8, 8, 6, 7, 7, 7, 7, 5, 6, 6, 6, 5, 6, 6, 5, 5, 8, 9, 7, 8, 8, 7, 8, 8, 8, 8, 7, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 7, 6, 7, 6, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 2, 5, 4, 4, 7, 8, 8, 6, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 7, 8, 8, 6, 7, 7, 7, 7, 6, 2, 2, 6, 5, 6, 6, 5, 6, 5, 6, 5, 6, 5, 2, 2, 6, 5, 6, 6, 5, 6, 6, 6, 6, 5, 6, 5, 6, 5, 2, 2, 6, 5, 6, 5, 7, 7, 7, 2, 2, 6, 5, 6, 5, 7, 7, 7, 2, 2, 4, 4, 6, 6, 5, 6, 6, 5, 2, 2, 5, 4, 4, 7, 8, 8, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 6, 2, 2, 6, 7, 7, 5, 6, 6, 6, 6, 5, 6, 6, 5, 6, 6, 5, 6, 6, 5, 2, 2, 5, 4, 4, 7, 8, 8, 6, 7, 7, 7, 7, 7, 6, 2, 2, 6, 5, 6, 5, 6, 5, 2, 2, 4, 4, 7, 6, 7, 7, 6, 2, 2, 5, 4, 4, 7, 8, 8, 6, 7, 7, 7, 7, 6, 7, 7, 6, 2, 2, 5, 4, 4, 7, 8, 8, 6, 7, 7, 7, 7, 6, 7, 7, 6, 2, 2, 5, 4, 4, 7, 8, 8, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 7, 8, 8, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 7, 8, 8, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 6, 6, 7, 7, 6, 2, 2, 5, 4, 4, 7, 8, 8, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 6, 6, 7, 7, 6, 2, 2, 6, 5, 6, 6, 5, 6, 6, 5, 5, 6, 6, 5, 5, 6, 5, 5, 6, 5, 2, 2, 6, 5, 6, 6, 5, 6 ]
[ 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 3, 3, 1, 2, 0, 4, 4, 1, 2, 1, 2, 3, 2, 4, 4, 0, 2, 2, 1, 1, 1, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 2, 2, 2, 1, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 7, 7, 2, 1, 1, 1, 2, 7, 7, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 3, 1, 5, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 5, 1, 4, 4, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 3, 3, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 5, 5, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 1, 7, 1, 4, 4, 0, 0, 2, 2, 1, 1 ]
[ 465, 6436, 619, 2065, 203, 465, 322, 7221, 203, 465, 322, 7221, 32, 6800, 619, 394, 203, 1070, 13625, 1188, 33953, 203, 465, 24297, 203, 465, 281, 14686, 274, 619, 298, 9928, 264, 203, 465, 1133, 203, 589, 2454, 81, 6680, 26, 6680, 81, 983, 711, 203, 202, 5613, 280, 298, 9928, 32, 944, 26, 13621, 32, 1676, 26, 6680, 81, 983, 30, 330, 4506, 2847, 203, 202, 601, 5890, 203, 589, 1897, 74, 26, 846, 711, 203, 202, 601, 2065, 32, 26742, 26, 846, 30, 9710, 47, 1382, 7221, 32, 1163, 32, 1808, 74, 27, 203, 589, 3219, 81, 9582, 26, 3229, 30, 16355, 47, 34, 32, 34, 35, 30, 636, 1057, 7831, 203, 202, 325, 16355, 610, 225, 34, 44, 357, 202, 73, 81, 4464, 280, 2065, 32, 8663, 26, 40, 32, 517, 308, 3229, 77, 34, 79, 474, 6024, 77, 35, 5259, 357, 202, 601, 322, 7221, 32, 4190, 26, 1808, 74, 26, 2356, 32, 3855, 32, 10586, 26, 741, 6593, 73, 81, 4464, 30, 3857, 47, 73, 81, 4464, 30, 1334, 47, 3229, 3662, 33187, 47, 1815, 30, 636, 47, 426, 27, 203, 202, 601, 322, 7221, 32, 4190, 26, 1808, 74, 26, 2356, 32, 3855, 32, 39385, 2740, 3229, 27, 319, 16355, 471, 33187, 47, 1815, 30, 636, 47, 426, 27, 203, 589, 16783, 1449, 26, 106, 711, 203, 202, 4617, 203, 3239, 81, 605, 30, 2080, 81, 605, 30, 894, 81, 605, 280, 2454, 81, 6680, 19786, 605, 33, 34513, 32, 30105, 32, 6680, 683, 203, 3239, 81, 106, 30, 5683, 81, 107, 280, 5683, 81, 605, 77, 34, 614, 5683, 81, 605, 77, 35, 997, 15315, 26, 2356, 32, 410, 37, 36, 27, 203, 1327, 81, 106, 30, 2080, 81, 107, 280, 2080, 81, 605, 77, 34, 614, 2080, 81, 605, 77, 35, 997, 15315, 26, 2356, 32, 410, 37, 36, 27, 203, 858, 81, 106, 30, 894, 81, 107, 280, 894, 81, 605, 77, 34, 614, 894, 81, 605, 77, 35, 997, 15315, 26, 2356, 32, 410, 37, 36, 27, 203, 96, 81, 8075, 280, 5683, 81, 106, 32, 3229, 77, 35, 79, 3162, 203, 96, 81, 4820, 280, 225, 35, 34, 12181, 203, 11218, 81, 3306, 280, 225, 34, 32, 35, 31372, 203, 4432, 81, 891, 280, 225, 35, 36, 42, 9181, 203, 17738, 280, 225, 35, 34, 15269, 203, 1516, 81, 3239, 81, 29707, 280, 429, 3736, 3239, 81, 106, 32, 3229, 77, 34, 79, 434, 5254, 81, 891, 27, 203, 1516, 81, 1327, 81, 29707, 280, 429, 3736, 1327, 81, 106, 32, 3229, 77, 34, 79, 434, 5254, 81, 891, 27, 203, 1516, 81, 858, 81, 29707, 280, 429, 3736, 858, 81, 106, 32, 3229, 77, 34, 79, 434, 5254, 81, 891, 27, 203, 2356, 32, 3855, 32, 7389, 26, 36, 326, 37, 34, 27, 203, 765, 203, 21, 203, 21, 203, 765, 3140, 280, 2065, 32, 751, 26, 1657, 26, 2356, 32, 5665, 26, 3239, 81, 107, 2610, 203, 7975, 280, 7699, 81, 3359, 26, 3239, 81, 106, 30, 5683, 81, 107, 27, 203, 1216, 330, 7700, 2815, 7699, 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, 2, 2, 0, 1, 1, 3, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 4, 4, 2, 2, 3, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 4, 4, 7, 6, 7, 6, 9, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 2, 2, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 3, 5, 6, 5, 6, 5, 5, 6, 9, 9, 8, 9, 7, 8, 8, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 4, 4, 4, 2, 2, 3, 5, 1, 1, 3, 3, 4, 4, 5, 3, 3, 3, 7, 7, 7, 6, 6, 8, 9, 8, 10, 10, 9, 9, 13, 12, 13, 12, 11, 11, 12, 13, 12, 4, 4, 5, 5, 8, 7, 8, 7, 9, 9, 9, 13, 12, 13, 11, 12, 11, 13, 12, 14, 14, 14, 11, 11, 12, 13, 13, 13, 11, 11, 12, 13, 11, 7, 8, 9, 7, 7, 8, 9, 7, 2, 2, 3, 3, 6, 5, 6, 5, 7, 7, 7, 12, 11, 12, 10, 11, 10, 12, 10, 8, 8, 7, 5, 6, 7, 5, 5, 6, 7, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 0, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 4, 4, 3, 3, 4, 4, 2, 2, 5, 5, 4, 5, 4, 3, 7, 7, 6, 7, 6, 6, 5, 7, 6, 7, 7, 7, 5, 0, 4, 4, 4, 3, 3, 4, 4, 2, 2, 5, 5, 4, 5, 4, 3, 7, 7, 6, 7, 6, 6, 5, 7, 6, 7, 7, 7, 5, 0, 4, 4, 4, 3, 3, 4, 4, 2, 2, 5, 5, 4, 5, 4, 3, 7, 7, 6, 7, 6, 6, 5, 7, 6, 7, 7, 7, 5, 0, 3, 3, 3, 2, 2, 5, 5, 4, 5, 3, 4, 3, 0, 0, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 0, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 4, 9, 9, 9, 8, 9, 7, 8, 7, 5, 5, 6, 6, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 9, 9, 9, 8, 9, 7, 8, 7, 5, 5, 6, 6, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 9, 9, 9, 8, 9, 7, 8, 7, 5, 5, 6, 6, 4, 0, 5, 4, 5, 3, 4, 3, 5, 4, 5, 5, 3, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 2, 2, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 0, 1, 1, 3, 3, 3, 3 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 3, 3, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 1, 1, 2, 0, 0, 6, 6, 0, 7, 7, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 0, 8, 8, 1, 2, 1, 2, 8, 8, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 0, 0, 2, 2, 2, 2, 1, 0, 9, 9, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 5, 1, 9, 9, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 3, 3, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 0, 10, 10, 1, 2, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 24, 0, 25, 0, 26, 0, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 29, 29, 1, 1, 1, 1 ]
[ 1070, 13568, 604, 1188, 4125, 30, 3829, 30, 4549, 30, 8684, 30, 617, 203, 823, 7688, 2275, 26, 3378, 32, 1243, 711, 284, 617, 426, 280, 313, 2445, 32, 1621, 20, 284, 636, 280, 3829, 32, 2659, 26, 800, 1057, 2275, 3270, 370, 2129, 47, 1815, 27, 284, 4159, 81, 823, 280, 3829, 32, 2659, 26, 800, 1057, 4424, 26149, 683, 203, 823, 7688, 2143, 295, 29357, 26, 3378, 32, 1243, 711, 284, 617, 6815, 280, 313, 2445, 32, 777, 295, 29357, 20, 284, 1340, 280, 3829, 32, 2659, 26, 800, 1057, 55, 31, 15554, 33655, 5833, 279, 4402, 683, 203, 823, 7688, 5991, 4220, 26, 3378, 32, 1243, 711, 284, 617, 426, 280, 313, 2445, 32, 923, 32, 3153, 20, 284, 617, 6815, 280, 3037, 12787, 32, 22062, 32, 4519, 1446, 284, 617, 2310, 280, 313, 22965, 7688, 9953, 20, 284, 617, 1174, 280, 313, 7508, 30, 636, 20, 284, 636, 280, 3829, 32, 2659, 26, 3648, 47, 1815, 30, 8778, 47, 1815, 27, 284, 2935, 81, 314, 280, 3829, 32, 7434, 36, 658, 463, 2445, 32, 923, 32, 3153, 370, 802, 1057, 4433, 9953, 370, 1650, 47, 1815, 27, 284, 2838, 81, 314, 280, 3829, 32, 3582, 36, 11374, 463, 2445, 32, 923, 32, 3153, 370, 330, 2544, 81, 314, 370, 802, 1057, 7640, 36708, 683, 284, 6613, 280, 3829, 32, 3061, 26, 4756, 347, 57, 4119, 322, 6613, 2532, 1412, 25941, 312, 1149, 432, 4054, 12770, 7144, 284, 1778, 280, 3829, 32, 6954, 26, 13382, 47, 1815, 30, 3049, 347, 2272, 1600, 16430, 322, 1778, 1654, 619, 1778, 436, 322, 6215, 30, 14943, 372, 225, 35, 34, 36, 38, 106, 35, 34, 36, 38, 1082, 7144, 284, 1778, 81, 9979, 280, 3829, 32, 6954, 26, 800, 1057, 15900, 31, 41658, 1778, 370, 16612, 47, 1815, 30, 768, 3049, 347, 15900, 31, 41658, 1778, 432, 322, 6215, 32, 2030, 438, 6924, 313, 768, 313, 575, 1191, 619, 312, 225, 35, 36, 42, 106, 35, 36, 42, 1082, 1778, 30, 623, 14335, 12488, 37859, 32, 313, 768, 313, 4391, 458, 1600, 328, 2234, 11875, 556, 1629, 14609, 10357, 11875, 7144, 284, 1778, 81, 4884, 280, 3829, 32, 6954, 26, 800, 1057, 12470, 31, 41658, 1778, 370, 16612, 47, 1815, 30, 1378, 3049, 347, 12470, 31, 41658, 1778, 432, 322, 6215, 32, 2030, 438, 6924, 313, 1378, 313, 575, 1191, 619, 312, 225, 40, 38, 106, 40, 38, 1082, 1778, 30, 623, 14335, 12488, 37859, 32, 313, 1378, 313, 4391, 458, 1600, 24323, 312, 5532, 1778, 438, 2129, 7144, 284, 477, 1237, 32, 1160, 284, 665, 1487, 26, 784, 30, 20200, 711, 291, 8684, 32, 893, 81, 8510, 81, 2242, 26, 9359, 27, 291, 442, 2599, 26, 3409, 5991, 4220, 30, 630, 547, 1297, 26, 9359, 27, 284, 477, 1237, 32, 6844, 284, 665, 2866, 26, 784, 30, 20200, 711, 291, 8684, 32, 893, 81, 8510, 81, 2242, 26, 9359, 27, 291, 442, 2599, 26, 3409, 5991, 4220, 30, 630, 547, 1821, 26, 9359, 27, 284, 477, 1237, 32, 24691, 1907, 463, 2544, 81, 314, 683, 284, 665, 1505, 81, 2544, 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, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 7, 7, 7, 7, 7, 7, 2, 2, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 7, 9, 9, 9, 2, 2, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 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, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 6, 7, 8, 6, 6, 6, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 6, 7, 8, 6, 6, 6, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 6, 5, 6, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 8, 9, 9, 9, 9, 9, 8, 9, 8, 5, 5, 6, 10, 11, 11, 11, 10, 10, 10, 9, 8, 9, 8, 2, 2, 6, 5, 6, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 8, 9, 9, 9, 9, 9, 8, 9, 8, 5, 5, 6, 10, 11, 11, 11, 10, 10, 10, 9, 8, 9, 8, 2, 2, 7, 6, 7, 7, 6, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 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, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 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, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 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, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 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, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 1, 2, 11, 11, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 1, 2, 12, 12, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 2, 13, 13, 1, 1, 1, 1 ]
[ 9592, 203, 50, 2116, 44, 677, 819, 3093, 97, 7187, 203, 9592, 203, 465, 1288, 3034, 21118, 348, 6001, 32, 858, 81, 1040, 619, 894, 81, 1040, 203, 465, 1288, 3034, 21118, 348, 6001, 32, 858, 81, 1356, 619, 894, 81, 1356, 203, 465, 1288, 3034, 21118, 348, 6001, 32, 858, 81, 1293, 619, 894, 81, 1293, 203, 465, 1288, 3034, 21118, 348, 6001, 32, 14663, 32, 27078, 81, 14663, 619, 43290, 81, 4156, 203, 465, 2322, 203, 465, 1133, 203, 1070, 31074, 1188, 19818, 639, 203, 37364, 35, 81, 4130, 927, 30, 33545, 35, 81, 72, 16898, 927, 280, 2107, 94, 37, 48213, 4711, 36, 370, 313, 94, 37, 38067, 6874, 4711, 35, 36, 1446, 203, 37364, 36, 81, 4130, 927, 30, 33545, 36, 81, 72, 16898, 927, 280, 3037, 94, 37, 48213, 4711, 37, 392, 313, 94, 37, 38067, 6874, 4711, 35, 37, 1446, 203, 27078, 81, 94, 37, 81, 668, 280, 10440, 37364, 35, 81, 4130, 927, 30, 33545, 35, 81, 72, 16898, 927, 471, 308, 37364, 36, 81, 4130, 927, 30, 33545, 36, 81, 72, 16898, 927, 2177, 203, 27078, 81, 426, 81, 668, 280, 2107, 27078, 35, 370, 330, 27078, 36, 785, 203, 1732, 81, 32534, 280, 5436, 26, 3149, 35, 81, 94, 37, 81, 25438, 81, 3149, 36, 81, 94, 37, 81, 25438, 47, 2665, 26, 3149, 35, 94, 37, 47, 37364, 35, 81, 4130, 927, 30, 8508, 36, 94, 37, 47, 37364, 36, 81, 4130, 927, 471, 4511, 8508, 35, 81, 94, 37, 81, 14181, 6874, 81, 3149, 36, 81, 94, 37, 81, 14181, 6874, 47, 2665, 26, 3149, 35, 94, 37, 47, 37364, 35, 81, 72, 16898, 927, 30, 8508, 36, 94, 37, 47, 37364, 36, 81, 72, 16898, 927, 471, 4511, 8508, 35, 81, 94, 37, 81, 25438, 81, 3149, 36, 81, 94, 37, 81, 14181, 6874, 47, 2665, 26, 3149, 35, 94, 37, 47, 37364, 35, 81, 4130, 927, 30, 8508, 36, 94, 37, 47, 37364, 36, 81, 72, 16898, 927, 471, 4511, 829, 203, 97, 28676, 81, 3768, 81, 314, 280, 330, 35, 32, 35, 32, 35, 32, 35, 25, 203, 97, 28676, 81, 3768, 81, 681, 280, 330, 9816, 25, 203, 3768, 81, 2393, 81, 681, 280, 330, 5108, 39, 25, 203, 3768, 81, 2393, 81, 2895, 280, 330, 35, 35, 35, 35, 35, 35, 35, 35, 25, 203, 954, 39, 81, 678, 81, 314, 280, 225, 35, 34, 203, 858, 81, 10520, 280, 894, 81, 1356, 32, 1356, 81, 371, 81, 858, 81, 10520, 346, 203, 858, 81, 2067, 81, 2665, 280, 894, 81, 1293, 32, 1006, 1078, 7167, 346, 203, 10235, 81, 668, 280, 1605, 203, 27078, 35, 81, 94, 37, 81, 6572, 280, 1605, 203, 27078, 36, 81, 94, 37, 81, 6572, 280, 1605, 203, 10235, 81, 6572, 280, 1605, 203, 923, 81, 1299, 280, 330, 923, 3984, 25, 203, 589, 894, 2262, 284, 36467, 280, 1135, 81, 32534, 77, 500, 32, 12757, 32, 371, 463, 11252, 81, 3314, 4570, 758, 12357, 284, 894, 81, 1040, 32, 858, 81, 31523, 440, 1297, 43290, 354, 5785, 461, 12386 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 4, 4, 4, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 4, 4, 4, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 4, 4, 4, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 7, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 7, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 7, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 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, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 1, 1, 2, 1, 1, 4, 4, 6, 6, 5, 9, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 2, 2, 6, 6, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 4, 4, 0, 0, 0, 0, 0, 2, 0, 4, 4, 4, 1, 1, 2, 2, 0, 5, 5, 0, 6, 6, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 3, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 2, 0, 25, 25, 2, 25, 25, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 8527, 1188, 10548, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 40075, 203, 1070, 8527, 32, 11400, 1188, 10156, 203, 1070, 5564, 297, 978, 81, 8538, 32, 4313, 1188, 3720, 2762, 203, 1070, 5564, 297, 978, 81, 8538, 32, 3086, 1188, 17536, 30, 5692, 30, 5780, 30, 11408, 30, 10059, 30, 22881, 203, 1070, 281, 29778, 32, 7491, 32, 24171, 32, 1217, 1188, 22774, 30, 3645, 1174, 30, 4187, 30, 551, 13015, 30, 32651, 1339, 30, 32651, 203, 465, 281, 29778, 32, 7491, 32, 24171, 32, 1217, 619, 2467, 203, 589, 739, 81, 1495, 81, 916, 81, 426, 26, 6933, 30, 537, 81, 426, 711, 284, 3610, 81, 3169, 280, 9011, 32, 3854, 32, 3169, 284, 665, 617, 3854, 81, 3169, 81, 5098, 26, 426, 30, 786, 30, 11758, 47, 2521, 711, 291, 442, 3610, 81, 3169, 26, 890, 81, 426, 30, 786, 30, 11758, 27, 284, 9011, 32, 3854, 32, 3169, 280, 617, 3854, 81, 3169, 81, 5098, 203, 823, 4187, 1241, 26, 8538, 32, 1241, 711, 284, 5615, 81, 426, 280, 10548, 32, 16357, 26, 3648, 47, 1815, 27, 284, 5644, 81, 878, 280, 10548, 32, 16357, 26, 3648, 47, 1815, 27, 203, 823, 32651, 1241, 26, 8538, 32, 1241, 711, 284, 636, 280, 10548, 32, 16357, 26, 3648, 47, 1815, 30, 2266, 347, 6266, 23498, 284, 5644, 81, 878, 280, 10548, 32, 16357, 26, 3648, 47, 1815, 30, 6852, 47, 8538, 32, 1031, 3768, 1026, 8479, 2266, 347, 10195, 16429, 23498, 284, 10243, 81, 823, 280, 32651, 1339, 346, 284, 16682, 280, 10440, 106, 710, 314, 2188, 4825, 7134, 31, 313, 474, 596, 26, 106, 710, 426, 7698, 3083, 436, 816, 328, 10243, 81, 823, 32, 464, 7662, 284, 16682, 32, 3215, 26, 34, 30, 308, 2521, 30, 4825, 1347, 31, 2131, 284, 10639, 81, 1172, 280, 313, 383, 1370, 27074, 30, 1957, 458, 10243, 22056, 372, 312, 14324, 443, 432, 24373, 12791, 284, 10243, 81, 823, 280, 10548, 32, 13860, 1176, 26, 291, 16682, 47, 19833, 30, 2266, 47, 1152, 81, 1172, 30, 2129, 47, 2700, 27, 284, 665, 1156, 1664, 3207, 784, 30, 10243, 81, 314, 30, 319, 1132, 30, 1115, 5321, 711, 291, 415, 646, 2181, 556, 646, 2181, 77, 34, 997, 371, 463, 4737, 7831, 324, 10243, 280, 32651, 346, 324, 457, 81, 823, 280, 10243, 32, 371, 81, 12610, 26, 12521, 81, 314, 30, 313, 25418, 2123, 25058, 26747, 392, 13687, 2266, 347, 12521, 81, 823, 657, 324, 415, 457, 81, 823, 44, 400, 2181, 77, 34, 5795, 12521, 81, 823, 785, 280, 457, 81, 823, 77, 34, 5795, 314, 785, 291, 2599, 26, 15468, 1241, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 32, 4313, 280, 3720, 2762, 346, 291, 630, 32, 4313, 32, 599, 81, 1141, 280, 10156, 26, 324, 330, 1877, 81, 12521, 370, 10306, 12516, 1890, 950, 10243, 81, 314, 30, 1790, 291, 630, 32, 4313, 32, 3086, 280, 11408, 26, 324, 17536, 26, 400, 5692, 463, 426, 1425, 400, 5692, 463, 7390, 81, 878, 1425, 400, 5692, 463, 12521, 81, 823, 1425, 400, 22881 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 4, 3, 4, 3, 4, 3, 4, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 5, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 7, 7, 7, 8, 8, 8, 7, 7, 7, 7, 7, 2, 2, 6, 7, 5, 6, 4, 4, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 7, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 7, 10, 9, 10, 10, 9, 6, 6, 7, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 8, 7, 9, 9, 6, 9, 9, 9, 7, 7, 9, 11, 10, 12, 12, 5, 5, 6, 6, 6, 9, 9, 8, 9, 8, 2, 2, 5, 6, 5, 6, 5, 5, 7, 6, 6, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 6, 6, 7, 8, 6, 6, 7, 8, 8, 8, 6, 6, 7, 8, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 7, 6, 6, 7, 10, 11, 10, 10, 9, 11, 11, 5, 5, 8, 8, 10, 6, 6, 9, 9, 8, 8, 10, 11, 11, 11, 10, 11, 11, 11, 10, 10, 12, 12, 12, 12, 12, 10, 10, 11, 13, 13, 13, 13, 6, 6, 7, 8, 8, 7, 7, 7, 12, 13, 12, 13, 13, 13, 13, 10, 10, 13, 13, 12, 13, 12, 13, 13, 4, 4, 9, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 6, 6, 8, 8, 4, 4, 8, 9, 7, 8, 8, 8, 6, 6, 8, 8, 8, 10, 10, 10, 10, 8, 9, 13, 13, 11, 12, 12, 10, 10, 4, 4, 8, 9, 7, 8, 6, 6, 8, 8, 8, 10, 10, 10, 12, 14, 14, 10, 10, 12, 14, 14, 14, 14, 10, 10, 12, 14, 14, 14, 14, 10, 10 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 0, 0, 0, 0, 1, 2, 3, 3, 0, 0, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 1, 6, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 0, 2, 0, 4, 0, 6, 1, 1, 0, 7, 7, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 7, 7, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 8, 8, 1, 2, 0, 1, 2, 2, 8, 8, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 9, 9, 1, 2, 0, 1, 2, 2, 9, 9, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 0, 0, 2, 2, 1, 1, 1, 5, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 3, 3, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 1, 4, 4, 7, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 1, 2, 7, 7, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 2, 3, 3, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 4, 4, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 2, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 0, 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 ]
[ 465, 6436, 619, 2065, 203, 589, 20877, 2185, 14185, 26, 449, 7903, 30, 3960, 13746, 30, 1929, 1339, 711, 203, 202, 449, 7903, 280, 2065, 32, 26742, 26, 449, 7903, 27, 203, 202, 449, 13746, 280, 2065, 32, 26742, 26, 449, 13746, 27, 203, 202, 449, 7903, 280, 3960, 7903, 319, 308, 449, 13746, 48, 34, 27, 203, 202, 11232, 280, 3960, 7903, 319, 308, 449, 7903, 379, 449, 13746, 27, 203, 202, 26, 3768, 81, 11232, 30, 7912, 280, 2065, 32, 22161, 26, 11232, 30, 22519, 47, 1516, 1339, 30, 2155, 4310, 35, 30, 1929, 1339, 490, 203, 202, 26, 3768, 81, 8293, 30, 7912, 280, 2065, 32, 22161, 26, 449, 7903, 30, 22519, 47, 1516, 1339, 30, 2155, 4310, 35, 30, 1929, 1339, 490, 203, 202, 26, 3768, 81, 4785, 30, 7912, 280, 2065, 32, 22161, 26, 449, 13746, 30, 22519, 47, 1516, 1339, 30, 2155, 4310, 35, 30, 1929, 1339, 490, 203, 202, 3768, 81, 13304, 280, 5951, 81, 8293, 474, 5951, 81, 4785, 429, 5951, 81, 11232, 203, 202, 601, 308, 3768, 81, 11232, 30, 5951, 81, 13304, 27, 203, 589, 6573, 26201, 26, 449, 7903, 30, 3960, 13746, 711, 203, 202, 449, 7903, 280, 2065, 32, 26742, 26, 449, 7903, 27, 203, 202, 449, 13746, 280, 2065, 32, 26742, 26, 449, 13746, 27, 203, 202, 7790, 81, 37415, 280, 2065, 32, 1036, 26, 449, 13746, 48, 34, 27, 203, 202, 7790, 81, 11015, 280, 2065, 32, 1036, 1162, 449, 7903, 379, 449, 13746, 20106, 449, 13746, 48, 34, 490, 203, 202, 7790, 81, 15924, 280, 225, 35, 32, 34, 319, 6573, 81, 11015, 517, 6573, 81, 37415, 203, 202, 601, 308, 7790, 81, 15924, 30, 6573, 81, 11015, 30, 6573, 81, 37415, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 3, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 5, 5, 8, 8, 7, 8, 6, 2, 2, 5, 4, 4, 6, 5, 5, 8, 8, 7, 8, 8, 6, 2, 2, 5, 6, 6, 6, 5, 6, 4, 4, 6, 7, 6, 7, 6, 6, 7, 8, 8, 6, 6, 7, 9, 8, 8, 9, 8, 2, 2, 5, 6, 6, 6, 5, 6, 4, 4, 6, 7, 6, 7, 7, 6, 6, 7, 8, 8, 6, 6, 7, 9, 8, 8, 9, 8, 2, 2, 5, 6, 6, 6, 5, 6, 4, 4, 6, 7, 6, 7, 7, 6, 6, 7, 8, 8, 6, 6, 7, 9, 8, 8, 9, 8, 2, 2, 5, 5, 5, 4, 4, 7, 7, 6, 6, 7, 7, 5, 5, 6, 6, 2, 2, 3, 3, 5, 5, 5, 4, 4, 5, 5, 4, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 7, 8, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 10, 10, 9, 10, 10, 8, 10, 10, 9, 10, 8, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 6, 6, 7, 7, 5, 5, 6, 6, 2, 2, 3, 3, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 4, 4, 0, 1, 1, 1, 0, 3, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 5, 1, 2, 2, 3, 2, 4, 4, 0, 1, 1, 1, 0, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 5, 1, 2, 2, 3, 2, 4, 4, 0, 1, 1, 1, 0, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 5, 1, 2, 2, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 8, 8, 1, 1, 1, 1, 1, 3, 3, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 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 ]
[ 589, 4450, 7418, 26, 6299, 30, 328, 974, 711, 334, 1188, 13625, 30, 316, 334, 1929, 2659, 30, 943, 2659, 280, 43055, 18491, 334, 9667, 5095, 280, 316, 32, 6993, 463, 35573, 83, 31, 108, 6155, 22, 683, 334, 7713, 3198, 280, 2155, 26, 6299, 429, 225, 35, 27, 334, 9789, 2007, 280, 330, 330, 319, 308, 6299, 429, 225, 35, 27, 334, 16656, 280, 13625, 32, 40506, 26, 1449, 1657, 280, 7713, 27, 5235, 665, 31954, 7167, 2262, 442, 13625, 32, 1536, 2665, 26, 14113, 7167, 27, 334, 3051, 1212, 280, 31954, 7167, 346, 5235, 3051, 1212, 710, 6299, 785, 280, 7713, 5235, 2738, 1212, 30, 2738, 2659, 280, 1665, 30, 1665, 334, 623, 2156, 26, 266, 974, 30, 330, 100, 683, 619, 296, 44, 284, 436, 3594, 328, 296, 32, 850, 922, 2998, 2262, 397, 415, 9667, 5095, 32, 2872, 26, 1112, 711, 291, 16656, 32, 8233, 26, 6126, 2007, 27, 4456, 436, 2738, 2659, 328, 5461, 101, 23, 101, 20, 904, 308, 1112, 30, 943, 2659, 711, 616, 16656, 32, 1689, 26, 1537, 2659, 27, 13499, 2738, 1212, 280, 3051, 1212, 13499, 436, 310, 328, 7713, 3198, 44, 4288, 2738, 1212, 280, 2738, 1212, 77, 13000, 77, 96, 3212, 616, 2738, 1212, 77, 1516, 2659, 79, 280, 2738, 1212, 32, 371, 26, 1516, 2659, 30, 225, 34, 27, 474, 225, 35, 616, 2738, 1212, 77, 1537, 2659, 79, 280, 2738, 1212, 32, 371, 26, 1537, 2659, 30, 225, 34, 27, 474, 225, 35, 334, 442, 3051, 1212, 203, 589, 2866, 22955, 26, 5074, 30, 963, 974, 711, 334, 623, 2156, 26, 541, 974, 30, 330, 105, 683, 619, 296, 44, 284, 1188, 2361, 3701, 296, 32, 1821, 26, 1260, 32, 16958, 26, 5074, 30, 3844, 81, 3494, 47, 1815, 30, 5456, 4044, 4310, 370, 370, 11501, 2610, 203, 589, 2575, 2262, 334, 1188, 16672, 334, 4118, 280, 16672, 32, 26633, 346, 334, 4118, 32, 669, 81, 2669, 463, 6299, 370, 34664, 1057, 6299, 370, 827, 47, 410, 30, 3049, 1057, 1318, 3104, 432, 1346, 2702, 8241, 683, 334, 4118, 32, 669, 81, 2669, 463, 266, 974, 370, 827, 47, 466, 30, 3049, 1057, 1612, 9473, 803, 683, 334, 4118, 32, 669, 81, 2669, 463, 541, 974, 370, 827, 47, 466, 30, 34292, 1057, 20787, 1244, 40547, 1826, 1538, 32, 1260, 370, 3049, 1057, 2301, 3398, 803, 308, 1536, 280, 617, 1826, 1538, 32, 1260, 19188, 334, 308, 1132, 30, 8665, 27, 280, 4118, 32, 2208, 81, 3737, 81, 1132, 346, 334, 8241, 280, 4450, 7418, 26, 1132, 32, 6299, 30, 2181, 32, 266, 974, 27, 334, 2866, 22955, 26, 5074, 30, 2181, 32, 541, 974, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 334, 2575, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 3, 3, 2, 2, 6, 5, 5, 6, 4, 4, 5, 2, 2, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 4, 4, 6, 8, 7, 7, 8, 6, 2, 2, 5, 4, 4, 7, 5, 5, 8, 7, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 7, 7, 6, 2, 2, 3, 4, 4, 3, 5, 7, 8, 8, 7, 8, 8, 7, 2, 2, 5, 4, 4, 6, 6, 2, 2, 6, 5, 7, 7, 4, 4, 2, 2, 6, 5, 5, 6, 4, 4, 5, 5, 2, 2, 3, 8, 9, 9, 8, 8, 10, 10, 6, 6, 3, 3, 3, 5, 5, 5, 9, 10, 9, 8, 7, 5, 5, 7, 10, 9, 10, 9, 10, 9, 7, 7, 11, 12, 11, 12, 12, 11, 8, 8, 9, 10, 9, 9, 12, 12, 12, 12, 10, 10, 12, 11, 11, 12, 11, 9, 9, 13, 14, 13, 14, 14, 13, 10, 10, 13, 12, 12, 13, 10, 10, 11, 11, 11, 12, 11, 11, 11, 15, 14, 14, 16, 15, 17, 16, 17, 16, 10, 10, 14, 13, 14, 14, 13, 12, 12, 16, 15, 16, 15, 16, 16, 15, 15, 16, 15, 13, 13, 14, 10, 10, 14, 13, 14, 14, 13, 12, 12, 16, 15, 16, 15, 16, 16, 15, 15, 16, 15, 13, 13, 14, 2, 2, 3, 4, 0, 1, 1, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 8, 9, 9, 8, 8, 10, 10, 6, 6, 3, 3, 3, 5, 4, 4, 7, 8, 7, 10, 9, 10, 9, 10, 9, 9, 11, 11, 10, 11, 9, 9, 11, 10, 13, 13, 13, 11, 0, 1, 1, 2, 1, 1, 3, 2, 2, 4, 4, 6, 7, 6, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 6, 8, 8, 5, 6, 7, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 5, 6, 7, 5, 5, 6, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 5, 6, 7, 5, 5, 6, 8, 5, 6, 8, 8, 8, 8, 8, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 6, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 2, 2, 4, 4, 6, 6, 8, 7, 8, 6, 6, 7, 8, 8, 6, 2, 2, 5, 5, 6, 5, 5, 6, 7, 7, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 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 ]
[ 0, 0, 1, 2, 1, 2, 2, 3, 2, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 1, 1, 2, 1, 4, 4, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 4, 4, 6, 1, 2, 6, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 1, 2, 0, 0, 4, 4, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 10, 1, 1, 1, 1, 1, 1, 2, 0, 0, 10, 10, 10, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 1, 1, 0, 2, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 5, 5, 2, 2, 2, 3, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 5, 5, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 2, 2, 2, 5, 5, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 2, 2, 2, 4, 4, 11, 1, 0, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 0, 5, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 2, 1, 5, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 1, 1, 7, 1, 1, 1, 1, 2, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 2, 1, 4, 4, 0, 1, 1, 1, 1, 3, 2, 2, 1, 0, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 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 ]
[ 465, 2361, 203, 465, 19571, 203, 465, 2322, 203, 465, 3995, 203, 1070, 3089, 749, 98, 1188, 4549, 30, 4125, 30, 3829, 30, 617, 203, 823, 15386, 3041, 26, 3378, 32, 5584, 1243, 711, 284, 617, 426, 280, 330, 4164, 32, 476, 32, 1160, 32, 6380, 32, 7101, 32, 1439, 25, 284, 617, 2310, 280, 330, 4815, 13199, 25, 284, 477, 1237, 32, 6844, 284, 665, 622, 81, 7101, 26, 784, 30, 1600, 711, 291, 3636, 22210, 284, 477, 1237, 32, 6844, 284, 665, 2125, 81, 2853, 26, 784, 711, 291, 442, 5053, 681, 950, 330, 476, 32, 3543, 32, 536, 81, 3518, 81, 2679, 6040, 284, 617, 6380, 81, 605, 280, 2149, 284, 477, 1237, 32, 1160, 284, 665, 622, 81, 6380, 81, 605, 26, 784, 30, 4870, 47, 2521, 30, 706, 2207, 1057, 1260, 7831, 291, 415, 4870, 438, 1665, 44, 324, 4870, 280, 10698, 426, 4009, 1260, 2296, 1643, 26, 426, 47, 784, 32, 39288, 81, 1160, 27, 291, 415, 4870, 646, 328, 630, 1114, 6380, 81, 605, 44, 324, 37651, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 330, 605, 370, 4870, 490, 324, 415, 2322, 32, 983, 32, 4658, 26, 27207, 711, 400, 1596, 44, 528, 415, 706, 2207, 610, 330, 1260, 950, 715, 630, 1114, 6380, 81, 605, 77, 3607, 79, 280, 2361, 32, 12474, 26, 1676, 26, 27207, 547, 850, 1157, 528, 813, 44, 715, 630, 1114, 6380, 81, 605, 77, 3607, 79, 280, 2156, 26, 27207, 547, 850, 346, 400, 2940, 3268, 30, 484, 44, 528, 442, 2149, 291, 442, 630, 1114, 6380, 81, 605, 32, 371, 26, 3607, 30, 12797, 203, 823, 15386, 26, 3378, 32, 1243, 711, 284, 617, 426, 280, 330, 4164, 32, 476, 32, 1160, 32, 6380, 32, 7101, 25, 284, 617, 2310, 280, 330, 4007, 15386, 25, 284, 617, 6815, 280, 2107, 476, 32, 22672, 32, 3415, 2209, 43275, 32, 5266, 823, 370, 330, 4164, 32, 476, 32, 1160, 32, 6380, 32, 7101, 32, 1439, 785, 284, 617, 1174, 280, 330, 1647, 81, 314, 17912, 30, 1542, 81, 314, 17912, 25, 284, 617, 1977, 81, 681, 280, 330, 1594, 25, 284, 1542, 81, 314, 280, 3829, 32, 7434, 36, 658, 463, 4164, 32, 476, 32, 1160, 370, 544, 2560, 1057, 26640, 683, 284, 2297, 81, 314, 280, 3829, 32, 7434, 36, 658, 463, 4164, 32, 476, 32, 1647, 32, 1647, 370, 330, 2459, 370, 5886, 1057, 1160, 81, 314, 32, 1647, 81, 314, 370, 544, 2560, 1057, 26640, 370, 1378, 2968, 47, 1815, 27, 284, 827, 280, 3829, 32, 2659, 463, 620, 370, 7596, 40547, 7924, 81, 681, 683, 284, 1760, 81, 4151, 81, 681, 280, 3829, 32, 2659, 463, 2922, 17661, 2768, 370, 7596, 40547, 7924, 81, 1977, 81, 4151, 81, 681, 683, 284, 1600, 81, 3631, 280, 3829, 32, 7434, 36, 11374, 26, 291, 767, 650, 81, 426, 1057, 4164, 32, 476, 32, 1160, 32, 4151, 370, 291, 14772, 1057, 4164, 81, 1160, 81, 6380, 81, 4151, 81, 2808, 370, 291, 2623, 35, 1057 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 5, 5, 5, 4, 4, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 7, 5, 5, 7, 6, 8, 8, 4, 4, 6, 7, 7, 6, 6, 6, 9, 9, 13, 13, 13, 13, 12, 11, 13, 12, 14, 13, 14, 14, 14, 11, 5, 5, 6, 7, 7, 7, 8, 9, 9, 9, 6, 6, 6, 9, 9, 12, 13, 11, 12, 11, 15, 14, 15, 13, 14, 13, 17, 16, 17, 15, 16, 15, 16, 16, 13, 15, 15, 13, 13, 7, 7, 8, 11, 12, 10, 11, 10, 11, 10, 8, 8, 10, 10, 10, 12, 14, 13, 13, 15, 15, 12, 12, 17, 18, 18, 18, 16, 17, 16, 15, 15, 17, 18, 17, 21, 21, 22, 21, 20, 19, 12, 12, 13, 13, 13, 18, 19, 19, 19, 17, 18, 17, 16, 16, 20, 21, 20, 19, 18, 10, 10, 11, 11, 11, 11, 11, 11, 13, 5, 5, 6, 9, 10, 10, 10, 8, 9, 8, 9, 8, 8, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 2, 2, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 6, 8, 7, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 8, 7, 9, 9, 6, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 6, 7, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 5, 5, 1, 2, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 4, 4, 0, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 1, 2, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 5, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 4, 4, 4, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 3, 3, 3, 3, 3, 3, 0, 4, 4, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 6, 6, 2, 0, 1, 2, 2, 6, 6, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 3, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 7, 1, 2, 1, 1, 9, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 5 ]
[ 1070, 18971, 1188, 1930, 81, 1986, 30, 1326, 203, 1070, 18971, 81, 4738, 2790, 1188, 13313, 203, 1070, 3420, 107, 1188, 2074, 203, 1070, 3346, 917, 1188, 4549, 203, 1070, 3346, 917, 32, 2304, 32, 5983, 1188, 8145, 2879, 30, 40075, 203, 1070, 3346, 917, 32, 11893, 1188, 1205, 81, 2300, 30, 1205, 81, 9198, 30, 1205, 81, 3560, 30, 2202, 81, 2585, 203, 1070, 3346, 917, 32, 1217, 81, 10340, 1188, 2467, 81, 33762, 30, 622, 81, 5983, 81, 3968, 81, 979, 81, 1217, 81, 10340, 81, 681, 203, 1070, 3346, 917, 32, 14458, 32, 1439, 1188, 3772, 2291, 30, 622, 81, 1473, 81, 271, 81, 38, 34, 38, 203, 823, 26717, 31463, 2291, 26, 1761, 2291, 711, 284, 477, 1981, 81, 2300, 284, 665, 622, 26, 784, 711, 291, 442, 428, 99, 32, 452, 81, 2665, 346, 436, 2678, 328, 8594, 26, 1217, 81, 33762, 32, 2810, 1026, 1202, 47, 5962, 2678, 44, 2678, 32, 426, 1157, 79, 203, 823, 26717, 2291, 26, 1761, 2291, 711, 284, 477, 1981, 81, 2300, 284, 665, 622, 26, 784, 30, 706, 81, 1855, 81, 314, 711, 291, 706, 81, 1855, 280, 4549, 32, 8615, 32, 371, 81, 1170, 81, 314, 81, 363, 81, 1088, 26, 605, 81, 1855, 81, 314, 30, 630, 32, 1700, 81, 1088, 27, 291, 442, 706, 81, 1855, 32, 452, 81, 2665, 26, 464, 47, 1815, 27, 284, 477, 1981, 81, 2300, 284, 665, 2364, 26, 784, 30, 706, 81, 1855, 81, 314, 711, 291, 706, 81, 1855, 280, 4549, 32, 8615, 32, 371, 81, 1170, 81, 314, 81, 363, 81, 1088, 26, 605, 81, 1855, 81, 314, 30, 630, 32, 1700, 81, 1088, 27, 291, 3616, 280, 1326, 32, 371, 81, 1260, 26, 1815, 27, 291, 5365, 280, 622, 81, 5983, 81, 3968, 81, 979, 81, 1217, 81, 10340, 81, 681, 26, 2403, 710, 681, 3490, 291, 415, 5365, 438, 1665, 44, 324, 13313, 26, 38, 34, 34, 27, 291, 1596, 44, 324, 706, 81, 1855, 32, 2184, 32, 470, 81, 3968, 26, 3968, 27, 324, 706, 81, 1855, 32, 2184, 32, 1877, 26, 2403, 710, 2184, 3490, 291, 2940, 40075, 44, 324, 13313, 26, 38, 34, 34, 27, 291, 706, 81, 1855, 32, 681, 280, 3616, 710, 681, 785, 291, 706, 81, 1855, 32, 426, 280, 3616, 710, 426, 785, 291, 706, 81, 1855, 32, 2853, 346, 291, 442, 706, 81, 1855, 32, 452, 81, 2665, 26, 464, 47, 1815, 27, 284, 477, 1981, 81, 2300, 284, 665, 3066, 26, 784, 30, 706, 81, 1855, 81, 314, 711, 291, 706, 81, 1855, 280, 4549, 32, 8615, 32, 371, 81, 1170, 81, 314, 81, 363, 81, 1088, 26, 605, 81, 1855, 81, 314, 30, 630, 32, 1700, 81, 1088, 27, 291, 706, 81, 1855, 32, 2560, 81, 2386, 26, 19100, 47, 1815, 27, 291, 442, 1930, 81, 1986, 22869, 225, 36, 34, 38, 27, 203, 823, 26717, 720, 2291, 26, 1761, 2291, 711, 284, 477, 1981, 81, 9198, 463, 668, 81, 605, 81, 11250, 683, 284, 665, 622, 26, 784, 711, 291, 415, 630, 32, 1700, 81, 496 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 10, 9, 10, 10, 10, 9, 7, 8, 8, 8, 10, 13, 13, 13, 12, 13, 12, 10, 11, 12, 12, 12, 12, 14, 15, 14, 7, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 3, 3, 4, 5, 6, 5, 5, 6, 6, 6, 6, 5, 4, 4, 8, 8, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 9, 10, 11, 11, 11, 9, 5, 5, 6, 9, 9, 8, 9, 9, 9, 8, 10, 9, 10, 8, 2, 2, 5, 5, 5, 3, 3, 4, 5, 6, 5, 5, 6, 6, 6, 6, 5, 4, 4, 8, 8, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 9, 10, 11, 11, 11, 9, 5, 5, 7, 7, 9, 10, 10, 10, 9, 10, 9, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 10, 12, 12, 5, 5, 6, 7, 7, 6, 6, 6, 10, 11, 11, 11, 10, 5, 5, 6, 6, 6, 12, 12, 11, 12, 10, 11, 11, 11, 10, 11, 10, 7, 7, 12, 12, 11, 12, 10, 11, 10, 12, 11, 13, 13, 6, 6, 7, 7, 7, 7, 11, 12, 12, 12, 11, 5, 5, 9, 9, 8, 9, 7, 7, 8, 10, 10, 5, 5, 9, 9, 8, 9, 7, 7, 8, 10, 10, 5, 5, 9, 9, 8, 9, 8, 5, 5, 6, 9, 9, 8, 9, 9, 9, 8, 10, 9, 10, 8, 2, 2, 5, 5, 5, 3, 3, 4, 5, 6, 5, 5, 6, 6, 6, 6, 5, 4, 4, 8, 8, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 9, 10, 11, 11, 11, 9, 5, 5, 9, 9, 8, 9, 9, 9, 8, 10, 9, 10, 8, 5, 5, 6, 8, 8, 8, 8, 9, 9, 9, 8, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 6, 5, 4, 4, 6, 9, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 2, 2, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 1, 1, 2, 1, 1, 2, 8, 8, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 3, 2, 2, 2, 2, 0, 2, 1, 1, 0, 9, 9, 1, 2, 1, 1, 2, 9, 9, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 4, 4, 3, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 4, 4, 3, 3, 3, 3, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 8, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 0, 0, 1, 1, 3, 3, 3, 1, 0, 10, 10, 1, 1, 2, 1, 1, 2, 10, 10, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2 ]
[ 465, 1695, 203, 1070, 13677, 295, 502, 32, 10419, 32, 32103, 81, 9458, 32, 10419, 1188, 18425, 11542, 12070, 26837, 10839, 203, 15842, 81, 24222, 280, 301, 291, 330, 2554, 81, 19452, 950, 330, 4968, 31, 12192, 81, 1237, 35, 32, 4968, 32, 508, 370, 291, 330, 2554, 81, 13001, 950, 330, 67, 35053, 53, 3620, 39, 18917, 63, 42, 14665, 57, 41, 67, 370, 291, 330, 2554, 81, 36108, 950, 330, 51, 31, 31108, 31685, 16146, 92, 21542, 36, 43, 33519, 36, 99, 10254, 368, 103, 9263, 779, 6637, 14152, 67, 43, 36, 4002, 66, 39, 19539, 43943, 72, 307, 7558, 108, 4184, 71, 567, 19605, 18085, 370, 291, 330, 10934, 81, 2413, 950, 330, 525, 555, 7127, 3434, 43692, 32, 508, 33, 601, 81, 965, 370, 291, 330, 27965, 81, 2413, 950, 330, 525, 555, 7127, 3434, 43692, 32, 508, 33, 8151, 81, 965, 370, 291, 330, 27238, 8484, 81, 2413, 950, 330, 525, 555, 7127, 3434, 43692, 32, 508, 33, 28598, 81, 965, 370, 291, 330, 25690, 81, 2413, 950, 330, 525, 555, 7127, 3434, 43692, 32, 508, 33, 5898, 81, 965, 25, 291, 320, 203, 823, 18425, 11542, 12070, 26837, 7233, 26, 1439, 32, 58, 3643, 9427, 7233, 711, 284, 665, 894, 81, 4737, 26, 784, 711, 291, 630, 32, 6821, 32, 4980, 295, 502, 81, 3550, 32, 1877, 26, 15842, 81, 24222, 27, 291, 630, 32, 4983, 26, 784, 32, 6821, 32, 1293, 30, 313, 10933, 657, 291, 1056, 280, 630, 32, 6821, 32, 4737, 440, 32103, 81, 9458, 392, 3177, 30, 5053, 1357, 950, 1665, 1748, 291, 630, 32, 5299, 26, 1267, 32, 681, 30, 313, 965, 657, 291, 630, 32, 31196, 1324, 26, 1267, 32, 965, 30, 1665, 27, 291, 630, 32, 5299, 26, 784, 32, 6821, 32, 1293, 30, 313, 40030, 23913, 657, 284, 665, 894, 81, 4737, 81, 42664, 26, 784, 711, 291, 630, 32, 6821, 32, 4980, 295, 502, 81, 3550, 32, 1877, 26, 15842, 81, 24222, 27, 291, 630, 1114, 669, 81, 42664, 81, 1094, 346, 291, 630, 32, 4983, 26, 784, 32, 6821, 32, 1293, 30, 313, 10933, 657, 291, 1056, 280, 630, 32, 6821, 32, 4737, 440, 32103, 81, 9458, 392, 3177, 30, 5053, 1357, 950, 1665, 1748, 291, 630, 32, 5299, 26, 1267, 32, 681, 30, 313, 965, 657, 291, 630, 32, 5299, 26, 784, 32, 6821, 32, 1293, 30, 313, 40030, 23913, 657, 291, 2404, 280, 1056, 32, 2848, 81, 1132, 710, 4980, 295, 502, 81, 32103, 81, 9458, 81, 1956, 785, 291, 630, 32, 31196, 1324, 26, 1956, 30, 1665, 27, 284, 665, 894, 81, 1877, 81, 6821, 81, 3958, 26, 784, 711, 291, 12052, 81, 2132, 280, 301, 324, 330, 26203, 7921, 81, 34, 81, 32776, 11315, 3848, 950, 330, 54, 911, 344, 358, 2035, 774, 1538, 1190, 370, 324, 330, 26203, 7921, 81, 34, 81, 32776, 1407, 46030, 1218, 950, 330, 37, 36, 35, 551, 2135, 7460, 498, 2600, 370, 324, 330, 26203, 7921, 81, 34, 81, 32776, 1407, 46030, 1218, 36, 950, 330, 51, 385, 225, 38, 39, 40, 370, 324, 330, 26203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 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, 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, 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, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 4, 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, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 9, 10, 8, 9, 9, 9, 9, 9, 7, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 7, 7, 9, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 8, 8, 8, 12, 12, 10, 9, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 9, 9, 4, 4, 7, 8, 8, 7, 9, 8, 9, 7, 7, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 7, 7, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 9, 10, 8, 9, 9, 9, 9, 9, 7, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 7, 7, 9, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 8, 8, 8, 12, 12, 10, 9, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 9, 9, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 7, 7, 9, 9, 9, 4, 4, 6, 6, 8, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 4, 4, 1, 6, 1, 1, 0, 0, 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, 2, 2, 2, 1, 1, 1, 2, 3, 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, 1, 1, 1, 1, 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, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 3, 3, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1 ]
[ 2206, 203, 9592, 1348, 2297, 4304, 322, 9128, 5047, 4736, 5881, 203, 465, 24495, 203, 465, 16539, 203, 465, 5034, 18321, 203, 465, 2678, 23711, 203, 465, 2678, 23711, 32, 14806, 203, 465, 2678, 23711, 32, 3149, 203, 1070, 2678, 23711, 32, 3149, 32, 99, 23711, 3149, 1188, 617, 16527, 81, 20026, 81, 3086, 203, 823, 9128, 5047, 26, 99, 23711, 32, 3149, 32, 1761, 5047, 711, 284, 5881, 7803, 34, 9592, 284, 4921, 81, 983, 280, 1665, 284, 636, 280, 2678, 23711, 32, 2433, 463, 426, 370, 291, 1244, 1057, 4722, 34, 370, 25316, 47, 99, 23711, 32, 2433, 32, 979, 16850, 27, 284, 2678, 314, 280, 2678, 23711, 32, 2433, 463, 44893, 370, 291, 1244, 47, 34, 30, 827, 47, 410, 30, 25316, 47, 99, 23711, 32, 2433, 32, 979, 16850, 27, 284, 11171, 280, 2678, 23711, 32, 2433, 463, 6572, 370, 291, 1244, 1057, 34, 34, 34, 34, 34, 34, 34, 34, 31, 34, 34, 34, 34, 31, 34, 34, 34, 34, 31, 34, 34, 34, 34, 31, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 370, 291, 25316, 47, 99, 23711, 32, 2433, 32, 979, 16850, 27, 284, 1244, 81, 18575, 3149, 280, 2678, 23711, 32, 5047, 1653, 463, 1536, 81, 18575, 3149, 370, 291, 2454, 81, 9279, 47, 38, 30, 291, 2608, 81, 4108, 47, 1815, 30, 291, 1244, 4310, 5962, 630, 44, 630, 32, 725, 32, 1536, 81, 18575, 3149, 471, 291, 3693, 1057, 2044, 8551, 372, 526, 1654, 619, 3645, 16157, 8551, 436, 2719, 7399, 11834, 284, 2305, 81, 266, 81, 48374, 280, 2678, 23711, 32, 2433, 463, 1017, 81, 266, 81, 48374, 370, 291, 1244, 47, 1815, 30, 827, 47, 2420, 30, 291, 3693, 1057, 2797, 458, 5880, 438, 372, 526, 5964, 328, 1244, 12780, 11834, 284, 1974, 444, 280, 2678, 23711, 32, 2433, 463, 1877, 444, 370, 291, 1244, 47, 1815, 30, 291, 827, 47, 2420, 30, 291, 25316, 47, 99, 23711, 32, 2433, 32, 979, 16850, 30, 291, 3693, 1057, 1815, 415, 458, 6652, 1631, 526, 4459, 544, 2819, 4369, 11834, 284, 588, 264, 14129, 81, 3086, 280, 2678, 23711, 32, 2433, 26, 291, 330, 13241, 81, 3086, 370, 291, 827, 47, 466, 30, 291, 25316, 11645, 16527, 81, 20026, 81, 3086, 30, 291, 1244, 1057, 352, 1046, 370, 291, 3693, 1057, 12371, 6371, 436, 458, 8551, 683, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 17094, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 1114, 99, 1199, 81, 3841, 280, 1665, 291, 630, 1114, 1356, 18321, 81, 4116, 280, 1665, 291, 415, 646, 630, 32, 725, 32, 104, 2840, 32, 23658, 81, 2816, 44, 324, 630, 32, 1366, 81, 99, 1199, 81, 6589, 346, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 630, 32, 426, 284, 665, 1156, 2159, 3207, 784, 30, 1604, 711, 291, 588, 351, 442, 630, 32, 426, 863, 1604, 32, 426, 284, 477, 2433, 284, 665, 13076, 81, 27611, 26, 784, 711, 291, 442, 1605, 284, 477, 2433, 284, 665, 816, 314, 26, 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, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 5, 5, 4, 5, 3, 4, 4, 2, 1, 1, 5, 5, 5, 2, 2, 5, 5, 4, 4, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 6, 6, 7, 9, 9, 9, 6, 7, 10, 10, 9, 10, 8, 9, 9, 6, 2, 2, 5, 4, 4, 7, 6, 7, 6, 8, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 7, 10, 10, 9, 10, 8, 9, 9, 6, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 6, 6, 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, 6, 6, 7, 10, 10, 9, 10, 8, 9, 9, 6, 2, 2, 5, 5, 5, 4, 4, 7, 6, 7, 7, 6, 8, 8, 8, 8, 8, 6, 6, 8, 8, 7, 8, 6, 6, 6, 8, 8, 7, 8, 6, 6, 6, 7, 9, 9, 9, 9, 11, 12, 10, 11, 11, 11, 11, 8, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 4, 4, 7, 6, 7, 6, 8, 8, 8, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 6, 7, 10, 10, 9, 10, 8, 9, 9, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 2, 2, 4, 6, 5, 2, 2, 4, 6, 6, 6, 6, 6, 5, 2, 2, 4, 7, 7, 7, 2, 2, 5, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 5, 6, 9, 10, 8, 9, 9, 7, 8, 8, 8, 5, 5, 5, 9, 10, 10, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 2, 2, 5, 3, 3, 4, 5, 5, 6 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 0, 6, 6, 0, 1, 2, 0, 7, 7, 0, 1, 2, 0, 8, 8, 0, 1, 2, 1, 4, 4, 4, 8, 8, 0, 0, 0, 0, 0, 0, 9, 9, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 9, 9, 1, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 3, 1, 1, 2, 1, 5, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 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, 2, 1, 1, 5, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 1, 0, 0, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 0, 2, 3, 2, 2, 2, 2, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 1, 7, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 1, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 4, 4, 0, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 4, 4, 14, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 14, 14, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 3, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 15, 1, 1, 1, 2, 15, 15, 0, 1, 2, 4, 4, 16, 1, 1, 1, 2, 2, 2, 4, 4, 17, 17, 17, 17, 17, 17, 17, 17, 17, 4, 4, 1, 18, 18, 1, 1, 1, 2, 1, 2, 1, 1, 0, 4, 4, 1, 19, 19, 1, 1, 2, 1 ]
[ 823, 12186, 26, 1473, 711, 284, 665, 25624, 5240, 39440, 26, 784, 30, 3051, 30, 298, 30, 2678, 711, 291, 415, 3051, 328, 308, 2521, 30, 298, 30, 2678, 711, 324, 442, 3051, 291, 2841, 30, 2091, 280, 308, 784, 32, 48579, 5240, 39440, 26, 35945, 30, 298, 30, 2678, 27, 436, 45716, 328, 308, 2388, 32, 1873, 30, 3051, 32, 990, 490, 291, 442, 3051, 415, 2841, 461, 2091, 813, 2841, 556, 2091, 284, 665, 25624, 5240, 39440, 36, 26, 784, 30, 3051, 30, 298, 30, 2678, 711, 291, 4138, 280, 428, 2388, 79, 291, 2935, 280, 301, 2388, 44, 1665, 111, 291, 2218, 298, 646, 328, 2935, 556, 2678, 646, 328, 2935, 44, 324, 1541, 280, 4138, 32, 3235, 346, 324, 415, 1541, 32, 1873, 44, 400, 2935, 77, 1251, 32, 1873, 79, 280, 1541, 400, 4138, 32, 1689, 26, 1251, 32, 1873, 27, 324, 415, 1541, 32, 990, 44, 400, 2935, 77, 1251, 32, 990, 79, 280, 1541, 400, 4138, 32, 1689, 26, 1251, 32, 990, 27, 291, 39285, 81, 1028, 81, 98, 280, 1605, 291, 2218, 298, 44, 324, 39285, 81, 1028, 81, 98, 32, 1689, 26, 98, 27, 324, 298, 280, 2935, 77, 98, 79, 291, 2218, 2678, 646, 328, 39285, 81, 1028, 81, 98, 44, 324, 2678, 280, 2935, 77, 99, 79, 291, 442, 2678, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 8, 7, 7, 7, 7, 7, 5, 5, 7, 4, 4, 7, 7, 6, 6, 10, 9, 10, 10, 10, 9, 10, 9, 9, 9, 9, 9, 7, 8, 8, 8, 11, 10, 11, 9, 9, 10, 11, 9, 4, 4, 5, 6, 6, 7, 7, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 7, 4, 4, 6, 6, 9, 8, 8, 7, 4, 4, 5, 7, 7, 7, 6, 6, 7, 7, 7, 5, 5, 5, 8, 8, 10, 11, 10, 6, 6, 7, 8, 9, 7, 7, 7, 11, 13, 12, 13, 11, 10, 10, 8, 8, 11, 12, 11, 13, 12, 13, 11, 6, 6, 7, 8, 9, 7, 7, 7, 11, 13, 12, 13, 11, 10, 10, 8, 8, 11, 12, 11, 13, 12, 13, 11, 4, 4, 7, 7, 7, 7, 6, 6, 4, 4, 5, 5, 5, 5, 10, 10, 10, 10, 9, 10, 9, 10, 9, 6, 6, 8, 8, 9, 10, 9, 4, 4, 5, 6, 6, 6, 7, 7, 7, 7, 5, 5, 5, 8, 8, 9, 10, 9, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 3, 3, 3, 2, 3, 4, 4, 2, 1, 1, 2, 2, 1, 1, 4, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 3, 3, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 2, 1, 0, 1, 2, 1, 3, 3, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 4, 4, 5, 1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 0, 0, 2, 2, 2, 4, 4, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 20654, 203, 3707, 280, 428, 276, 301, 313, 314, 563, 225, 34, 30, 313, 426, 563, 313, 21826, 20, 801, 276, 301, 313, 314, 563, 225, 35, 30, 313, 426, 563, 313, 54, 311, 96, 20, 801, 276, 301, 313, 314, 563, 225, 36, 30, 313, 426, 563, 313, 69, 340, 20, 801, 276, 301, 313, 314, 563, 225, 37, 30, 313, 426, 563, 313, 40953, 20, 801, 276, 301, 313, 314, 563, 225, 38, 30, 313, 426, 563, 313, 1027, 271, 20, 801, 276, 301, 313, 314, 563, 225, 39, 30, 313, 426, 563, 313, 53, 9732, 20, 801, 276, 301, 313, 314, 563, 225, 40, 30, 313, 426, 563, 313, 58, 6758, 20, 801, 276, 301, 313, 314, 563, 225, 41, 30, 313, 426, 563, 313, 8483, 266, 20, 801, 276, 301, 313, 314, 563, 225, 42, 30, 313, 426, 563, 313, 61, 332, 20, 801, 276, 301, 313, 314, 563, 225, 43, 30, 313, 426, 563, 313, 61, 274, 266, 20, 320, 203, 79, 203, 1216, 4250, 203, 13599, 44942, 280, 10440, 34, 30, 225, 35, 471, 308, 34, 30, 225, 36, 471, 308, 35, 30, 225, 36, 471, 308, 35, 30, 225, 37, 471, 308, 36, 30, 225, 37, 471, 308, 37, 30, 225, 38, 471, 3083, 308, 38, 30, 225, 39, 471, 308, 39, 30, 225, 40, 471, 308, 39, 30, 225, 41, 471, 308, 40, 30, 225, 42, 471, 308, 41, 30, 225, 42, 471, 308, 42, 30, 225, 43, 2177, 203, 979, 1256, 328, 4250, 44, 284, 1256, 1365, 26740, 1446, 19066, 203, 979, 595, 30, 594, 328, 11970, 44942, 44, 284, 4250, 77, 91, 11159, 26740, 6494, 1689, 26, 3707, 77, 92, 1130, 3701, 4250, 77, 92, 11159, 26740, 6494, 1689, 26, 3707, 77, 91, 1130, 225, 203, 1216, 7646, 96, 392, 313, 3707, 392, 2706, 96, 78, 96, 392, 4250, 203, 589, 1451, 81, 1028, 81, 26740, 26, 496, 711, 284, 442, 2069, 26, 3707, 1365, 26740, 6890, 262, 203, 2999, 81, 16717, 280, 3632, 26, 2171, 81, 1028, 81, 26740, 26, 496, 27, 436, 1256, 328, 4250, 27, 225, 203, 1216, 313, 2999, 12215, 44, 3003, 3380, 81, 16717, 203, 1516, 81, 3707, 280, 2069, 26, 3707, 27, 203, 10074, 81, 16717, 280, 1929, 81, 3707, 517, 3380, 81, 16717, 203, 1516, 81, 26740, 81, 1170, 81, 314, 280, 10440, 3707, 1365, 314, 3439, 1451, 81, 1028, 81, 26740, 26, 496, 490, 528, 436, 1256, 328, 4250, 79, 203, 11939, 26, 1516, 81, 26740, 81, 1170, 81, 314, 30, 17389, 1202, 47, 5962, 308, 496, 81, 314, 30, 1929, 81, 26740, 711, 1929, 81, 26740, 30, 10156, 47, 1815, 27, 203, 1216, 4207, 96, 392, 1929, 81, 26740, 81, 1170, 81, 314, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 0, 3, 2, 2, 3, 3, 4, 7, 7, 5, 6, 4, 4, 7, 7, 5, 7, 7, 4, 3, 3, 4, 7, 7, 5, 6, 4, 4, 7, 7, 5, 7, 7, 7, 7, 4, 3, 3, 4, 7, 7, 5, 6, 4, 4, 7, 7, 5, 7, 7, 7, 4, 3, 3, 4, 7, 7, 5, 6, 4, 4, 7, 7, 5, 7, 7, 4, 3, 3, 4, 7, 7, 5, 6, 4, 4, 7, 7, 5, 7, 7, 7, 4, 3, 3, 4, 7, 7, 5, 6, 4, 4, 7, 7, 5, 7, 7, 7, 4, 3, 3, 4, 7, 7, 5, 6, 4, 4, 7, 7, 5, 7, 7, 7, 4, 3, 3, 4, 7, 7, 5, 6, 4, 4, 7, 7, 5, 7, 7, 7, 4, 3, 3, 4, 7, 7, 5, 6, 4, 4, 7, 7, 5, 7, 7, 7, 4, 3, 3, 4, 7, 7, 5, 6, 4, 4, 7, 7, 5, 7, 7, 7, 7, 4, 3, 3, 0, 1, 1, 0, 3, 3, 2, 2, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 3, 3, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 0, 1, 1, 1, 1, 1, 1, 1, 5, 7, 7, 4, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 7, 8, 7, 8, 8, 6, 5, 7, 6, 7, 6, 2, 2, 7, 8, 7, 8, 8, 6, 5, 7, 6, 7, 6, 0, 0, 1, 3, 4, 3, 1, 3, 3, 1, 4, 4, 4, 3, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 7, 6, 8, 8, 0, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 7, 6, 4, 5, 5, 5, 4, 0, 0, 1, 1, 3, 3, 3, 3, 1, 2, 2, 0, 3, 3, 3, 2, 2, 4, 5, 4, 0, 3, 3, 3, 2, 2, 4, 4, 3, 3, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 6, 5, 7, 7, 4, 6, 6, 6, 6, 6, 7, 6, 3, 3, 4, 4, 4, 3, 0, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 8, 8, 8, 7, 7, 8, 8, 7, 5, 6, 6, 3, 3, 4, 5, 3, 0, 3, 3, 5, 5, 3, 4, 4, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 1, 2, 1, 2, 3, 3, 1, 2, 3, 1, 1, 1, 2, 3, 2, 2, 5, 1, 2, 1, 2, 5, 5, 1, 2, 3, 1, 1, 2, 5, 2, 2, 7, 1, 2, 1, 2, 7, 7, 1, 2, 3, 1, 2, 7, 2, 2, 9, 1, 2, 1, 2, 9, 9, 1, 2, 3, 1, 1, 2, 9, 2, 2, 11, 1, 2, 1, 2, 11, 11, 1, 2, 3, 1, 1, 2, 11, 2, 2, 13, 1, 2, 1, 2, 13, 13, 1, 2, 3, 1, 1, 2, 13, 2, 2, 15, 1, 2, 1, 2, 15, 15, 1, 2, 3, 1, 1, 2, 15, 2, 2, 17, 1, 2, 1, 2, 17, 17, 1, 2, 3, 1, 1, 2, 17, 2, 2, 19, 1, 2, 1, 2, 19, 19, 1, 2, 3, 1, 1, 1, 2, 19, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 3, 1, 2, 1, 3, 3, 3, 3, 2, 1, 5, 5, 3, 5, 2, 1, 7, 7, 3, 7, 2, 1, 9, 9, 3, 9, 2, 1, 11, 11, 3, 11, 2, 2, 1, 13, 13, 3, 13, 2, 1, 15, 15, 3, 15, 2, 1, 17, 17, 3, 17, 2, 1, 19, 19, 3, 19, 2, 1, 21, 21, 3, 21, 2, 1, 23, 23, 3, 23, 0, 4, 4, 4, 4, 4, 4, 4, 0, 1, 2, 0, 0, 5, 5, 1, 1, 5, 5, 3, 5, 5, 5, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 5, 5, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 6, 0, 0, 2, 6, 1, 2, 6, 0, 1, 1, 2, 6, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 9, 9, 1, 1, 1, 1, 9, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 0, 0, 3, 3, 0, 2, 3, 3, 1, 1, 5, 2, 1, 0, 0, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 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 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 1459, 81, 1126, 30, 7976, 81, 465, 203, 465, 12500, 32, 17449, 619, 5743, 203, 465, 6436, 619, 2065, 203, 465, 14785, 619, 5239, 203, 465, 5239, 7741, 203, 465, 5239, 7741, 32, 15183, 32, 34513, 619, 18686, 427, 203, 74, 30, 1410, 30, 894, 74, 30, 894, 75, 280, 18686, 427, 32, 944, 81, 605, 346, 203, 893, 81, 3534, 280, 225, 41, 42, 38, 225, 203, 108, 81, 3534, 280, 225, 36, 34, 34, 225, 203, 2999, 81, 7088, 280, 2069, 26, 74, 27, 203, 589, 9750, 26, 106, 30, 23261, 47, 2700, 711, 284, 623, 5239, 32, 4502, 81, 3473, 463, 4815, 370, 23261, 47, 31897, 711, 291, 816, 280, 5239, 7741, 32, 4938, 81, 10089, 26, 106, 30, 225, 36, 39, 40, 30, 13226, 1057, 15159, 683, 291, 816, 280, 5239, 7741, 32, 4938, 81, 10089, 26, 106, 30, 1778, 81, 3534, 30, 13226, 1057, 35237, 683, 291, 442, 816, 203, 589, 42256, 26, 106, 30, 23261, 47, 2700, 711, 284, 623, 5239, 32, 4502, 81, 3473, 463, 47644, 370, 23261, 47, 31897, 711, 291, 816, 280, 5239, 7741, 32, 4938, 81, 10089, 26, 106, 30, 225, 36, 39, 40, 30, 13226, 1057, 15159, 683, 291, 816, 280, 5239, 7741, 32, 4938, 81, 10089, 26, 106, 30, 225, 35, 30, 13226, 1057, 35237, 683, 291, 442, 816, 203, 2518, 81, 1131, 280, 5239, 7741, 32, 1131, 81, 605, 26, 3229, 6020, 2521, 30, 1288, 81, 3534, 614, 636, 1057, 1131, 81, 15964, 683, 203, 28494, 81, 1131, 280, 5239, 7741, 32, 1131, 81, 605, 26, 3229, 6020, 2521, 30, 225, 41, 42, 38, 614, 636, 1057, 28494, 81, 1131, 683, 203, 2518, 81, 3287, 280, 9750, 26, 2518, 81, 1131, 27, 203, 28494, 81, 4543, 280, 42256, 26, 28494, 81, 1131, 27, 203, 28494, 81, 9539, 280, 42256, 26, 2518, 81, 3287, 30, 23261, 47, 1815, 27, 203, 28494, 81, 5410, 280, 429, 4213, 32, 8920, 81, 6009, 26, 4213, 32, 751, 26, 28494, 81, 4543, 27, 474, 5239, 32, 751, 26, 35, 32, 429, 39889, 81, 9539, 490, 203, 2518, 81, 5410, 280, 429, 4213, 32, 8920, 81, 6009, 26, 4213, 32, 751, 26, 28494, 81, 9539, 490, 203, 2518, 81, 6862, 280, 5239, 7741, 32, 371, 81, 1823, 81, 9578, 81, 1170, 81, 3473, 463, 4815, 683, 203, 2518, 81, 1160, 280, 5239, 7741, 32, 26460, 26, 2518, 81, 3287, 30, 5674, 47, 2521, 30, 16302, 1057, 28619, 370, 7686, 7699, 47, 2518, 81, 5410, 30, 5683, 444, 81, 6862, 47, 2518, 81, 6862, 30, 7686, 5254, 81, 891, 47, 40, 38, 30, 636, 1057, 1977, 81, 2518, 370, 3089, 81, 426, 1057, 7143, 683, 203, 28494, 81, 6862, 280, 5239, 7741, 32, 371, 81, 1823, 81, 9578, 81, 1170, 81, 3473, 463, 47644, 683, 203, 28494, 81, 1160, 280, 5239, 7741, 32, 26460, 26, 28494, 81, 4543, 30, 5674, 47, 2521, 30, 16302, 1057, 28619, 370, 1378, 7699, 47, 28494, 81, 5410, 30, 5683, 444, 81, 6862, 47, 28494, 81, 6862, 30, 1378, 5254, 81, 891, 47, 40 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 4, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 3, 0, 1, 1, 4, 3, 4, 3, 4, 2, 2, 3, 0, 4, 3, 3, 3, 3, 4, 3, 3, 4, 2, 2, 5, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 0, 3, 3, 3, 2, 2, 4, 5, 4, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 7, 8, 8, 8, 7, 9, 9, 7, 8, 9, 7, 3, 3, 6, 6, 9, 8, 9, 9, 9, 8, 9, 8, 8, 9, 9, 9, 8, 8, 9, 11, 11, 4, 4, 6, 6, 9, 8, 9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 8, 9, 11, 11, 4, 4, 5, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 7, 8, 8, 8, 7, 9, 9, 7, 8, 9, 7, 3, 3, 6, 6, 9, 8, 9, 9, 9, 8, 9, 8, 8, 9, 9, 9, 8, 8, 9, 11, 11, 4, 4, 6, 6, 9, 8, 9, 9, 9, 8, 9, 8, 8, 9, 8, 8, 9, 11, 11, 4, 4, 5, 0, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 4, 6, 5, 7, 6, 6, 7, 7, 6, 4, 5, 7, 7, 7, 7, 0, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 4, 6, 5, 7, 6, 6, 7, 7, 7, 6, 4, 5, 7, 7, 7, 7, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 4, 5, 6, 4, 0, 3, 3, 3, 2, 2, 6, 5, 6, 6, 6, 5, 9, 8, 9, 8, 9, 9, 9, 8, 6, 6, 8, 9, 8, 10, 10, 9, 9, 10, 10, 8, 0, 3, 3, 3, 2, 2, 6, 5, 6, 6, 6, 5, 8, 7, 8, 7, 8, 8, 8, 7, 0, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 0, 3, 3, 3, 2, 2, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 6, 4, 4, 5, 7, 7, 4, 4, 5, 6, 6, 6, 4, 4, 6, 6, 6, 5, 6, 6, 6, 4, 4, 4, 6, 6, 5, 6, 6, 4, 4, 5, 7, 7, 7, 7, 4, 6, 6, 5, 7, 7, 0, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 0, 3, 3, 3, 2, 2, 5, 4, 5, 4, 5, 5, 5, 4, 4, 5, 6, 4, 4, 5, 7, 7, 4, 4, 5, 6, 6, 6, 4, 4, 6, 6, 6, 5, 6, 6, 6, 4, 4, 4, 6, 6, 5, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 1, 1, 0, 4, 4, 0, 0, 5, 5, 0, 0, 2, 0, 4, 1, 1, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 6, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 10, 10, 2, 1, 2, 2, 3, 2, 2, 10, 10, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 2, 3, 3, 2, 0, 11, 11, 2, 1, 2, 2, 3, 2, 2, 11, 11, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 2, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 3, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 3, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 2, 1, 1, 7, 2, 2, 2, 1, 1, 0, 0, 0, 9, 2, 2, 2, 1, 1, 1, 0, 0, 11, 2, 2, 1, 1, 13, 1, 1, 1, 2, 1, 0, 0, 15, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 2, 1, 1, 7, 2, 2, 2, 1, 1, 0, 0, 0, 9, 2, 2, 2, 1, 1, 1, 0, 0, 11, 2 ]
[ 3028, 280, 301, 203, 202, 3464, 19488, 950, 301, 357, 202, 25, 505, 4530, 14935, 225, 35, 32, 35, 34, 30, 357, 202, 25, 505, 34801, 14935, 330, 272, 81, 2045, 370, 357, 202, 1182, 36226, 950, 301, 355, 202, 25, 314, 950, 225, 35, 30, 355, 202, 25, 3153, 950, 330, 15008, 25981, 370, 603, 34, 44, 330, 44038, 370, 603, 35, 44, 330, 39743, 659, 370, 603, 36, 44, 330, 9757, 3343, 8080, 278, 659, 370, 603, 37, 44, 330, 2820, 271, 659, 370, 603, 38, 44, 330, 9757, 3343, 475, 3166, 659, 370, 603, 39, 44, 330, 1045, 286, 2851, 370, 603, 40, 44, 330, 9757, 3343, 2244, 286, 2851, 25, 357, 202, 835, 357, 202, 25, 771, 350, 950, 301, 355, 202, 25, 314, 950, 225, 36, 30, 355, 202, 25, 3153, 950, 330, 15008, 25981, 370, 603, 34, 44, 330, 4843, 350, 6575, 25, 357, 202, 835, 357, 202, 5438, 8023, 950, 301, 355, 202, 25, 314, 950, 225, 37, 30, 355, 202, 25, 3153, 950, 330, 15008, 25981, 370, 603, 34, 44, 330, 2976, 102, 370, 603, 35, 44, 330, 2235, 11479, 475, 8023, 370, 603, 36, 44, 330, 10480, 108, 362, 25, 357, 202, 835, 357, 202, 25, 331, 46801, 10498, 950, 301, 355, 202, 25, 314, 950, 225, 38, 30, 355, 202, 25, 3153, 950, 330, 15008, 25981, 370, 603, 34, 44, 330, 53, 906, 5862, 10498, 25, 357, 202, 835, 357, 202, 25, 557, 3231, 950, 301, 355, 202, 25, 314, 950, 225, 39, 30, 355, 202, 25, 3153, 950, 330, 15008, 25981, 370, 603, 34, 44, 330, 65, 774, 624, 4907, 4061, 3231, 370, 603, 35, 44, 330, 6648, 6502, 624, 4907, 4061, 3231, 370, 603, 36, 44, 330, 52, 476, 380, 624, 4907, 4061, 3231, 370, 603, 37, 44, 330, 31800, 1219, 624, 4907, 4061, 3231, 370, 603, 38, 44, 330, 1590, 329, 905, 624, 4907, 4061, 3231, 370, 603, 39, 44, 330, 15826, 546, 774, 624, 4907, 4061, 3231, 25, 357, 202, 835, 357, 202, 1182, 368, 2920, 950, 301, 355, 202, 25, 314, 950, 225, 40, 30, 355, 202, 25, 3153, 950, 330, 21002, 25981, 370, 603, 34, 44, 330, 65, 774, 358, 368, 2920, 370, 603, 35, 44, 330, 6648, 6502, 358, 368, 2920, 370, 603, 36, 44, 330, 52, 476, 380, 358, 368, 2920, 370, 603, 37, 44, 330, 31800, 1219, 358, 368, 2920, 370, 603, 38, 44, 330, 1590, 329, 905, 358, 368, 2920, 370, 603, 39, 44, 330, 15826, 546, 774, 358, 368, 2920, 25, 357, 202, 835, 357, 202, 25, 3011, 22262, 950, 301, 355, 202, 25, 314, 950, 225, 41, 30, 355, 202, 25, 3153, 950, 330, 15008, 25981, 370, 603, 34, 44, 330, 23342, 22262, 25, 357, 202, 835, 357, 202, 1182, 363, 950, 301, 355, 202, 25, 314, 950, 225, 35, 36, 30, 355, 202, 25, 3153, 950, 330, 15008, 25981, 370, 603, 34, 44, 330, 22767, 370, 603, 35, 44, 330, 4023, 42201, 25, 357, 202, 835, 357, 202, 25, 771, 6075, 950, 301, 355, 202, 25, 314, 950, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 3, 6, 6, 6, 4, 5, 5, 8, 8, 8, 8, 6, 7, 7, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 6, 7, 7, 10, 10, 10, 8, 9, 7, 7, 7, 10, 10, 10, 8, 10, 10, 10, 7, 9, 8, 8, 10, 10, 7, 9, 8, 8, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 7, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 8, 9, 7, 7, 7, 10, 10, 10, 8, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 7, 7, 7, 5, 5, 8, 8, 8, 6, 7, 7, 10, 10, 10, 8, 9, 7, 7, 7, 10, 10, 10, 8, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 8, 9, 7, 7, 7, 10, 10, 10, 8, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 10, 7, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 8, 9, 7, 7, 7, 10, 10, 10, 8, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 8, 9, 7, 7, 7, 10, 10, 10, 8, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 7, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 8, 9, 7, 7, 7, 10, 10, 10, 8, 10, 10, 10, 7, 9, 8, 8, 10, 10, 10, 7, 7, 7, 5, 5, 8, 8, 8, 6, 7, 7, 10, 10, 10, 8, 9, 9, 7, 7, 7, 10, 10, 10, 8, 10, 10, 10, 7, 9, 8, 8, 10, 10, 7, 9, 8, 8, 10, 10, 10, 7, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 8 ]
[ 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 3, 1, 1, 1, 2, 2, 2, 0, 1, 2, 5, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 3, 1, 1, 2, 2, 0, 5, 5, 1, 2, 2, 0, 7, 7, 1, 1, 2, 2, 0, 9, 9, 1, 1, 1, 1, 1, 2, 2, 0, 11, 11, 1, 1, 1, 2, 2, 0, 13, 13, 1, 1, 1, 1, 1, 2, 2, 0, 15, 15, 1, 1, 1, 2, 2, 0, 17, 17, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 7, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 3, 1, 1, 2, 2, 0, 5, 5, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 9, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 3, 1, 1, 2, 2, 0, 5, 5, 1, 1, 2, 2, 0, 7, 7, 1, 1, 1, 1, 2, 2, 0, 9, 9, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 11, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 3, 1, 1, 2, 2, 0, 5, 5, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 13, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 3, 1, 1, 2, 2, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 2, 0, 7, 7, 1, 1, 1, 1, 1, 1, 2, 2, 0, 9, 9, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 11, 11, 1, 1, 1, 1, 1, 1, 2, 2, 0, 13, 13, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 15, 15, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 15, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 3, 1, 1, 2, 2, 0, 5, 5, 1, 1, 1, 1, 1, 2, 2, 0, 7, 7, 1, 1, 1, 1, 1, 2, 2, 0, 9, 9, 1, 1, 1, 1, 1, 1, 2, 2, 0, 11, 11, 1, 1, 1, 1, 1, 2, 2, 0, 13, 13, 1, 1, 1, 1, 1, 1, 2, 2, 0, 15, 15, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 17, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 3, 1, 1, 2, 2, 0, 5, 5, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 19, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 3, 1, 1, 2, 2, 0, 5, 5, 1, 2, 2, 0, 7, 7, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 21, 2, 2, 0, 1, 2, 1 ]
[ 1070, 29947, 1188, 4705, 203, 505, 1648, 505, 280, 330, 34, 32, 34, 32, 35, 25, 203, 25418, 2123, 1818, 9135, 280, 1992, 26, 466, 32, 7201, 30, 203, 2993, 6330, 2037, 6497, 203, 3786, 2037, 546, 2123, 46573, 2037, 6987, 31035, 6146, 5056, 1177, 354, 37, 556, 6125, 308, 1614, 2743, 104, 37, 24913, 203, 34034, 6633, 2037, 17764, 203, 25900, 1171, 2037, 40669, 2037, 7946, 203, 23560, 6633, 2037, 4865, 203, 23560, 6633, 2037, 4865, 2037, 225, 36, 32, 41, 203, 47148, 2998, 4446, 1157, 203, 3038, 81, 3953, 280, 301, 284, 330, 4466, 81, 8121, 950, 428, 291, 330, 84, 1421, 81, 452, 81, 933, 81, 5207, 280, 323, 1421, 81, 452, 81, 933, 32, 1831, 44, 1831, 370, 284, 1481, 203, 111, 203, 5522, 26, 284, 636, 347, 20013, 81, 84, 1421, 81, 452, 81, 933, 81, 5207, 392, 284, 1503, 47, 505, 1648, 7642, 284, 4081, 347, 30687, 4685, 97, 390, 265, 269, 452, 392, 284, 4081, 81, 1935, 347, 10930, 4685, 97, 32, 10035, 269, 452, 50, 7253, 32, 508, 392, 284, 3048, 347, 37134, 2531, 551, 7146, 372, 7440, 13622, 7652, 392, 284, 3541, 347, 1614, 2743, 104, 37, 32672, 284, 1984, 347, 641, 555, 933, 32, 508, 33, 30687, 4685, 97, 53, 265, 269, 452, 33, 10953, 31, 4373, 31, 17594, 392, 284, 1946, 81, 2310, 20706, 284, 43397, 47, 25418, 2123, 1818, 9135, 30, 284, 16400, 20706, 284, 2443, 81, 13966, 6020, 291, 330, 470, 510, 288, 778, 7148, 35, 32, 34, 32, 35, 370, 284, 2505, 284, 7599, 11414, 84, 1421, 81, 452, 81, 933, 2188, 284, 2652, 81, 1515, 12516, 84, 1421, 81, 452, 81, 933, 81, 5207, 950, 330, 84, 1421, 81, 452, 81, 933, 81, 5207, 8885, 284, 17503, 11414, 12183, 2188, 284, 8529, 81, 4770, 47, 2700, 30, 284, 3414, 81, 3953, 47, 3038, 81, 3953, 30, 203, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 6, 5, 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, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 6, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 0, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 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, 6, 6, 3, 3, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 3, 3, 3, 4, 3, 3, 5, 5, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 4, 7, 7, 7, 7, 7, 7, 7, 3, 3, 5, 5, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 7, 7, 3, 3, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 5, 5, 5, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 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, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 15, 1, 1, 17, 2, 2, 2, 2, 1, 1, 1, 19, 1, 1, 0, 0, 21, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 23, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 25, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 27, 1, 2, 1, 1, 0, 0, 29, 2, 1, 1, 1, 0, 0, 31, 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 ]
[ 465, 2322, 203, 1070, 2322, 32, 983, 1188, 1399, 17611, 30, 24797, 203, 1070, 5237, 1188, 1519, 203, 24819, 81, 7789, 280, 24797, 26, 7781, 26, 21379, 4064, 761, 505, 2610, 203, 983, 32, 1689, 26, 24819, 81, 7789, 27, 203, 500, 32, 12757, 32, 37329, 440, 28350, 5289, 65, 81, 24222, 81, 9856, 392, 313, 10240, 33415, 32, 3550, 32, 12191, 657, 203, 1070, 8527, 32, 1262, 32, 46674, 1188, 622, 81, 46674, 81, 3164, 203, 3164, 280, 622, 81, 46674, 81, 3164, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 4, 6, 6, 8, 8, 9, 9, 8, 0, 4, 3, 4, 3, 4, 4, 4, 3, 0, 5, 4, 5, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 2, 2, 4, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 48885, 39, 1188, 10701, 2852, 30, 34031, 30, 22066, 203, 823, 27178, 81, 3728, 26, 1473, 711, 284, 665, 4705, 10816, 26, 784, 30, 13695, 711, 291, 13695, 32, 23725, 440, 3728, 657, 291, 13695, 32, 8510, 26, 38, 34, 34, 30, 225, 41, 42, 27, 291, 630, 32, 3365, 2344, 280, 22066, 32, 67, 48587, 26, 3728, 27, 291, 630, 32, 3365, 2344, 32, 23725, 440, 3365, 2344, 657, 291, 630, 32, 1172, 280, 22066, 32, 2150, 814, 26, 3728, 27, 291, 630, 32, 1172, 32, 23725, 440, 1172, 657, 291, 630, 32, 3365, 2344, 32, 21857, 26, 784, 32, 1172, 30, 225, 34, 30, 225, 34, 30, 225, 35, 30, 225, 35, 27, 291, 630, 32, 35081, 280, 22066, 32, 67, 34293, 26, 3728, 27, 291, 630, 32, 35081, 32, 23725, 440, 35081, 657, 291, 630, 32, 3365, 2344, 32, 21857, 26, 784, 32, 35081, 30, 225, 34, 30, 225, 35, 30, 225, 35, 30, 225, 35, 27, 291, 630, 32, 1640, 1705, 280, 22066, 32, 67, 3728, 1714, 1705, 26, 3728, 27, 291, 630, 32, 1640, 1705, 32, 470, 13980, 26, 30609, 32, 9071, 32, 11381, 27, 291, 630, 32, 1640, 1705, 32, 470, 8090, 11556, 26, 47935, 32, 67, 3728, 1714, 1705, 32, 7028, 110, 47935, 32, 67, 3728, 1714, 1705, 32, 5126, 27, 291, 630, 32, 1640, 1705, 32, 23725, 440, 1640, 1705, 657, 291, 630, 32, 3365, 2344, 32, 21857, 26, 784, 32, 1640, 1705, 30, 225, 35, 30, 225, 34, 30, 225, 35, 30, 225, 36, 27, 291, 630, 32, 268, 7393, 10816, 26, 3728, 27, 291, 630, 32, 1640, 1705, 32, 27190, 32, 3517, 26, 3728, 32, 7494, 27, 291, 630, 32, 1640, 1705, 32, 35514, 32, 3517, 26, 3728, 32, 11592, 27, 291, 10701, 2852, 32, 67, 4232, 959, 32, 3517, 24126, 9813, 26, 3728, 27, 284, 665, 316, 7393, 10816, 26, 784, 30, 13695, 711, 291, 617, 7393, 280, 10701, 2852, 32, 67, 2852, 2727, 32, 7393, 291, 13695, 32, 18476, 3173, 2176, 7393, 440, 3728, 392, 313, 3728, 2131, 291, 630, 32, 1172, 32, 6616, 2176, 7393, 440, 3728, 392, 313, 1097, 1924, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 9, 9, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 8, 9, 9, 7, 8, 7, 9, 9, 9, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 8, 9, 7, 8, 7, 9, 9, 4, 4, 8, 9, 9, 7, 8, 7, 9, 8, 9, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 8, 9, 7, 8, 7, 9, 9, 4, 4, 8, 9, 9, 7, 8, 7, 9, 8, 9, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 9, 9, 8, 9, 8, 4, 4, 8, 9, 9, 7, 8, 8, 7, 10, 9, 10, 8, 9, 7, 4, 4, 8, 9, 9, 7, 8, 8, 8, 7, 11, 10, 11, 11, 11, 11, 9, 10, 8, 11, 10, 11, 11, 11, 11, 9, 10, 7, 4, 4, 8, 9, 9, 7, 8, 7, 9, 9, 9, 4, 4, 8, 9, 9, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 9, 10, 10, 8, 9, 7, 8, 7, 9, 8, 9, 7, 4, 4, 9, 10, 10, 8, 9, 7, 8, 7, 9, 8, 9, 7, 4, 4, 9, 8, 9, 9, 9, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 9, 8, 9, 9, 9, 7, 8, 4, 4, 7, 8, 8, 7, 9, 9, 11, 11, 9, 11, 11, 4, 4, 8, 9, 7, 8, 7, 9, 9, 11, 11, 9, 11, 11, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 0, 1, 1, 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, 0, 0, 0, 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, 316, 203, 465, 5237, 203, 465, 12460, 203, 465, 5624, 203, 465, 5237, 1163, 203, 465, 16539, 203, 1070, 29947, 1188, 4705, 30, 15363, 203, 1070, 29947, 32, 2501, 32, 1832, 81, 407, 1188, 1968, 81, 407, 203, 1070, 29947, 32, 2501, 32, 858, 1188, 894, 203, 1070, 1673, 2304, 32, 1648, 1188, 498, 4760, 2062, 203, 823, 18977, 4814, 26, 4814, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 309, 39664, 476, 1057, 7831, 291, 2599, 26, 9252, 4814, 30, 630, 14585, 1664, 3207, 426, 30, 10849, 6020, 1130, 291, 630, 32, 101, 39664, 476, 280, 2322, 32, 983, 32, 21379, 26, 101, 39664, 476, 27, 203, 823, 18977, 3313, 26, 1832, 81, 407, 711, 284, 1256, 81, 2184, 280, 428, 291, 2726, 10331, 12483, 330, 92, 370, 330, 31531, 322, 1451, 432, 1968, 13179, 821, 5049, 1425, 284, 1481, 284, 665, 7379, 81, 2184, 26, 784, 711, 291, 2599, 922, 8788, 81, 2184, 346, 291, 630, 32, 10331, 280, 1665, 284, 665, 34207, 81, 2184, 26, 784, 711, 291, 2599, 922, 28598, 81, 2184, 346, 291, 1201, 630, 32, 10331, 438, 1665, 556, 630, 32, 10331, 32, 297, 12710, 1026, 330, 3817, 2793, 436, 769, 10331, 556, 429, 92, 25, 284, 665, 1420, 26, 784, 711, 291, 1596, 44, 324, 963, 280, 16539, 32, 1553, 81, 2024, 4901, 14136, 370, 11363, 1648, 3490, 291, 2940, 546, 21887, 44, 324, 3636, 26405, 440, 9252, 2298, 526, 6713, 372, 1968, 322, 2412, 11581, 44, 313, 474, 7686, 3003, 4939, 2524, 26, 87, 32, 426, 436, 484, 328, 630, 32, 9081, 490, 291, 21816, 81, 16516, 81, 1648, 81, 979, 81, 5910, 280, 330, 37, 32, 35, 32, 34, 25, 291, 415, 5624, 32, 2946, 346, 610, 313, 2839, 563, 324, 21816, 81, 1648, 280, 498, 4760, 2062, 26, 268, 32, 1903, 26, 100, 4763, 100, 798, 78, 101, 28, 40817, 86, 32, 6155, 7243, 963, 32, 5460, 4251, 1363, 26, 35, 490, 324, 415, 21816, 81, 1648, 333, 21816, 81, 16516, 81, 1648, 81, 979, 81, 5910, 44, 400, 3636, 26405, 440, 9252, 2377, 2149, 438, 2129, 544, 4017, 2296, 1643, 26, 528, 21816, 81, 16516, 81, 1648, 81, 979, 81, 5910, 490, 291, 436, 1447, 328, 630, 32, 9081, 44, 324, 630, 32, 1832, 81, 6728, 26, 407, 27, 284, 665, 1968, 81, 6728, 26, 784, 30, 1447, 711, 291, 1447, 1515, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 7781, 26, 784, 32, 371, 81, 407, 81, 2620, 983, 26, 407, 32, 426, 2610, 291, 21816, 81, 1132, 280, 2107, 31, 37152, 81, 20017, 81, 10843, 81, 20689, 1057, 474, 1447, 1515, 30, 2855, 6470, 54, 22033, 81, 35629, 2147, 1057, 474, 5237, 32, 21823, 79, 291, 8444, 280, 330, 3529, 25, 415, 630, 32, 2811, 813, 330, 5813, 25, 291, 1968, 81, 1132, 280, 2107, 287, 1163, 370, 8444, 79, 291, 415, 630, 32, 10331, 44, 324, 1968, 81, 1132, 1454, 2107, 31, 92, 370, 630, 32, 10331, 79, 291, 415, 5624, 32, 2946, 346, 610, 313, 2839, 563, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 7, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 8, 9, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 9, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 9, 8, 8, 8, 7, 4, 4, 5, 8, 9, 7, 7, 6, 6, 9, 10, 8, 9, 9, 8, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 5, 5, 8, 8, 10, 11, 11, 11, 10, 13, 13, 11, 13, 13, 5, 5, 6, 7, 6, 6, 6, 8, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 11, 15, 14, 13, 15, 14, 15, 13, 14, 14, 14, 15, 16, 13, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 4, 4, 5, 8, 9, 8, 6, 6, 8, 8, 5, 5, 9, 9, 8, 8, 10, 10, 10, 15, 14, 15, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 16, 17, 16, 13, 12, 13, 12, 6, 6, 7, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 11, 15, 15, 15, 15, 15, 15, 15, 15, 14, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 13, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 9, 10, 10, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 13, 12, 13, 13, 13, 13, 13, 13, 12, 14, 13, 14, 12, 4, 4, 7, 7, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 7, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 7, 4, 4, 6, 6, 9, 9, 7, 7, 8, 9, 7, 7, 9, 9, 4, 4, 7, 7, 6, 6, 9, 9, 9, 7, 7, 4, 4, 5, 6, 7, 5, 5, 5, 9, 9, 8, 8, 11, 11, 11, 9, 10, 11, 9, 4, 4, 5, 8, 9, 8, 6, 6, 8, 8, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 0, 7, 7, 7, 7, 7, 7, 0, 8, 8, 1, 2, 1, 4, 4, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 10, 10, 0, 1, 2, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 5, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 12, 12, 1, 2, 1, 1, 1, 2, 12, 12, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 4, 4, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 3, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 3, 3, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 2, 2, 2, 4, 4, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 2, 2, 4, 4, 4, 1, 2, 4, 4, 4, 0, 0, 0, 0, 1, 1, 2, 2, 3, 2, 2, 4, 4, 5, 0, 2, 1, 1, 1, 1, 2, 5 ]
[ 317, 373, 15798, 203, 465, 2322, 203, 465, 5237, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 2322, 32, 568, 1515, 30, 2322, 32, 568, 1515, 490, 203, 1070, 533, 1253, 20857, 32, 1262, 1188, 3082, 203, 1270, 44, 284, 1188, 225, 1578, 4634, 284, 1401, 59, 10542, 280, 2933, 203, 7343, 29986, 44, 284, 1401, 59, 10542, 280, 3177, 284, 1459, 313, 1578, 4634, 438, 646, 6713, 30, 1629, 3312, 7606, 1330, 526, 1420, 20, 203, 1070, 3185, 1040, 270, 445, 1732, 1188, 8661, 2755, 7233, 203, 1070, 533, 1253, 339, 716, 467, 3922, 36301, 1188, 1410, 1253, 20857, 2828, 2825, 7233, 203, 1070, 533, 770, 1040, 270, 445, 1732, 1188, 1410, 1547, 2755, 7233, 203, 1070, 343, 698, 335, 270, 445, 1732, 1188, 11298, 2755, 7233, 203, 1070, 2074, 36301, 1188, 5412, 7233, 203, 1070, 918, 21768, 270, 445, 1732, 1188, 2252, 274, 5725, 7233, 203, 1070, 2899, 36301, 1188, 4187, 7233, 203, 1070, 4835, 36301, 1188, 12545, 7233, 203, 1070, 11934, 633, 445, 1732, 1188, 27825, 7233, 203, 1070, 1344, 668, 3169, 581, 445, 1732, 1188, 3319, 720, 6462, 7233, 203, 325, 1401, 59, 10542, 44, 284, 645, 225, 1578, 36301, 1188, 439, 1282, 7233, 203, 1070, 11659, 36301, 1188, 30465, 7233, 203, 1070, 22333, 366, 445, 1732, 1188, 24379, 7233, 203, 1070, 273, 5326, 445, 1732, 1188, 394, 1707, 7233, 203, 589, 2575, 2262, 284, 3082, 32, 3517, 3954, 13961, 4117, 3954, 47, 1815, 27, 284, 3082, 32, 27380, 1063, 346, 284, 15798, 32, 1831, 346, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 2575, 346, 203, 21, 354, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 1, 1, 0, 1, 1, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 5, 6, 7, 7, 5, 5, 6, 7, 7, 5, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 3, 5, 5, 2, 2, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 6, 6, 5, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 1, 1, 1, 3, 5, 5, 3, 3, 5, 5, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 1, 1, 5, 6, 6, 5, 5, 7, 6, 7, 5, 2, 2, 5, 6, 6, 5, 2, 2, 5, 6, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 2, 2, 0, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 5, 2, 2, 1, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 6, 6, 6, 6, 0, 0, 0, 2, 2, 0, 0, 0, 0, 6, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 10, 10, 0, 0, 0, 0, 0, 10, 10, 0, 0, 0, 11, 11, 0, 11, 11, 0, 0, 12, 12, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, 13, 13, 0, 13, 13, 0, 0, 14, 14, 0, 14, 14, 0, 0, 15, 15, 0, 0, 0, 15, 15, 0, 0, 16, 16, 0, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 17, 17, 1, 1, 17, 17, 17, 0, 0, 0, 0, 0, 0, 0, 0, 18, 18, 0, 18, 18, 0, 0, 19, 19, 0, 0, 0, 19, 19, 0, 0, 20, 20, 0, 0, 0, 20, 20, 0, 0, 0, 21, 21, 2, 21, 21, 0, 2, 2, 1, 1, 0, 3, 2, 1, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 1, 0, 22, 22, 0, 0, 1, 1, 1, 1, 22, 22, 1, 0, 23, 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 ]
[ 465, 316, 203, 465, 3363, 203, 465, 22977, 203, 465, 2322, 203, 465, 11993, 203, 465, 15894, 1199, 203, 1070, 1914, 81, 1110, 1188, 6374, 1208, 203, 823, 2032, 21315, 44, 284, 665, 1156, 1664, 3207, 784, 30, 4870, 30, 1914, 81, 1110, 44, 2028, 1208, 47, 2521, 30, 485, 1729, 81, 2035, 47, 2521, 30, 4583, 47, 1815, 711, 291, 630, 1114, 1855, 81, 1110, 280, 1914, 81, 1110, 291, 630, 1114, 761, 280, 3363, 32, 652, 2338, 346, 415, 4583, 813, 1665, 291, 630, 1114, 3607, 280, 4870, 291, 630, 1114, 1821, 81, 10555, 280, 630, 1114, 3607, 474, 4939, 1772, 975, 20, 291, 630, 1114, 89, 1729, 81, 2035, 280, 485, 1729, 81, 2035, 556, 313, 525, 555, 2175, 32, 2035, 5681, 291, 630, 1114, 3375, 280, 4583, 291, 630, 1114, 8968, 280, 3177, 284, 665, 1974, 81, 928, 26, 784, 30, 1795, 44, 466, 30, 2530, 44, 33477, 32, 268, 32, 3665, 30, 3400, 711, 291, 2866, 81, 2668, 280, 1795, 291, 415, 2530, 438, 646, 1665, 44, 324, 1760, 280, 2530, 77, 34, 79, 324, 1361, 983, 280, 1760, 32, 2998, 32087, 6448, 35, 79, 324, 537, 81, 1977, 280, 630, 1114, 89, 1729, 81, 2035, 474, 1361, 983, 324, 537, 81, 1286, 280, 1795, 32, 3227, 26, 1977, 30, 537, 81, 1977, 27, 324, 630, 1114, 8968, 280, 2933, 324, 415, 630, 1114, 1855, 81, 1110, 438, 646, 1665, 44, 400, 630, 1114, 1855, 81, 1110, 32, 761, 81, 3215, 26, 1286, 30, 537, 81, 1286, 30, 1760, 30, 1361, 983, 30, 3400, 27, 324, 2866, 81, 2668, 280, 537, 81, 1286, 291, 415, 630, 1114, 3375, 44, 324, 630, 1114, 761, 32, 1821, 26, 1821, 81, 2668, 27, 284, 665, 617, 10415, 26, 784, 30, 1760, 81, 658, 30, 1760, 81, 8268, 711, 291, 1779, 81, 761, 81, 426, 280, 1760, 81, 658, 474, 4939, 2868, 20, 291, 2322, 32, 13141, 26, 1977, 81, 658, 30, 1779, 81, 761, 81, 426, 27, 291, 2322, 32, 13141, 26, 1977, 81, 8268, 30, 1760, 81, 658, 27, 291, 2322, 32, 13141, 26, 1433, 81, 761, 81, 426, 30, 1760, 81, 8268, 27, 284, 665, 617, 2991, 81, 1803, 26, 784, 30, 1561, 30, 7112, 711, 291, 2926, 280, 2322, 32, 4597, 26, 1617, 547, 270, 81, 2816, 291, 2322, 32, 26030, 26, 6298, 30, 2926, 27, 284, 665, 12947, 81, 6946, 81, 761, 26, 784, 30, 1760, 81, 426, 711, 291, 415, 630, 1114, 8968, 44, 324, 630, 1114, 10415, 26, 1977, 81, 426, 30, 630, 1114, 1821, 81, 10555, 27, 324, 630, 1114, 2991, 81, 1803, 26, 784, 1114, 1821, 81, 10555, 30, 1760, 81, 426, 27, 284, 665, 25462, 26, 784, 711, 291, 415, 2322, 32, 983, 32, 4658, 26, 784, 1114, 1821, 81, 10555, 711, 324, 630, 1114, 10415, 26, 784, 1114, 3607, 30, 630, 1114, 1821, 81, 10555, 27, 284, 665, 4230, 26, 784, 711, 291, 415, 630, 1114, 8968, 461, 630, 1114, 3375, 44, 324, 623, 2156, 26, 784, 1114, 1821, 81, 10555, 30, 330, 105, 683, 619, 296, 44, 400, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 7, 7, 5, 6, 4, 4, 6, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 9, 10, 10, 9, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 7, 7, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 7, 4, 4, 5, 9, 8, 9, 7, 8, 4, 4, 4, 3, 3, 7, 7, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 5, 8, 8, 9, 10, 9, 6, 6, 9, 8, 8, 11, 12, 11, 9, 11, 9, 6, 6, 9, 9, 8, 8, 10, 11, 11, 11, 11, 9, 9, 10, 6, 6, 9, 9, 8, 8, 10, 11, 10, 11, 10, 10, 11, 11, 10, 6, 6, 9, 10, 8, 8, 6, 6, 7, 9, 10, 10, 10, 8, 8, 8, 7, 7, 7, 12, 13, 13, 13, 11, 12, 12, 12, 11, 12, 11, 11, 12, 12, 11, 11, 11, 11, 12, 11, 11, 11, 6, 6, 9, 9, 8, 8, 9, 9, 4, 4, 5, 6, 7, 5, 5, 5, 10, 11, 9, 10, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 7, 6, 6, 8, 8, 7, 7, 9, 9, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 9, 10, 9, 10, 9, 8, 8, 8, 4, 4, 7, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 6, 7, 5, 5, 5, 9, 10, 9, 10, 10, 10, 9, 9, 10, 11, 11, 11, 9, 6, 6, 9, 10, 10, 10, 9, 11, 10, 11, 11, 11, 9, 9, 10, 10, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 5, 5, 9, 10, 9, 11, 10, 11, 9, 9, 10, 11, 11, 11, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 7, 8, 5, 5, 5, 7, 12, 14, 13, 14, 14, 14, 12, 12, 14, 14, 10, 10, 7, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 7, 7, 1, 7, 7, 7, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 5, 0, 0, 5, 4, 2, 2, 0, 0, 0, 7, 2, 2, 2, 9, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 3, 3, 1, 1, 1, 2, 1, 2, 2, 3, 0, 2, 2, 5, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 2, 0, 0, 3, 3, 5, 0, 2, 2, 2, 1, 1, 1, 5, 5, 5, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 7, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 2, 4, 4, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 2, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 3, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 1, 3, 3, 5, 2, 1, 2, 5, 5, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 3, 3, 6, 2, 1, 2, 6, 6, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0 ]
[ 1070, 2322, 1188, 663, 1515, 30, 16277, 30, 622, 15598, 30, 1149, 1515, 30, 13947, 30, 1519, 203, 1070, 22977, 1188, 1933, 36, 30, 540, 41718, 203, 1070, 16539, 1188, 21925, 1304, 30, 447, 1676, 203, 1070, 5237, 1188, 6184, 30, 4323, 203, 1070, 16672, 1188, 7098, 2825, 203, 8078, 81, 983, 280, 313, 14569, 1112, 33, 2774, 91, 5095, 32, 725, 33, 8041, 20, 203, 589, 4706, 81, 9266, 2262, 284, 1399, 297, 703, 81, 983, 3784, 2868, 33, 360, 297, 703, 20, 284, 13947, 26, 360, 297, 703, 81, 983, 30, 225, 34, 41, 39, 39, 27, 284, 1519, 280, 622, 15598, 346, 284, 663, 1515, 26, 360, 297, 703, 81, 983, 27, 284, 442, 1519, 203, 589, 4706, 81, 6008, 26, 983, 711, 284, 663, 1515, 26, 983, 27, 284, 1399, 297, 703, 81, 983, 3784, 2868, 33, 360, 297, 703, 20, 284, 540, 41718, 26, 360, 297, 703, 81, 983, 27, 203, 589, 617, 4229, 11170, 81, 1855, 81, 371, 2262, 284, 1914, 280, 313, 641, 555, 2452, 2536, 32, 4229, 11170, 32, 1088, 33, 7999, 19166, 33, 7999, 19166, 31, 36, 32, 34, 32, 34, 32, 5366, 32, 6680, 20, 284, 4774, 280, 313, 9511, 429, 65, 904, 101, 20, 904, 1914, 284, 298, 280, 447, 1676, 26, 3515, 30, 9073, 47, 1815, 27, 284, 298, 32, 1684, 346, 203, 589, 617, 4229, 11170, 81, 1855, 81, 8281, 2262, 284, 4774, 280, 313, 5366, 816, 35402, 7132, 9489, 19166, 31, 36, 32, 34, 32, 34, 32, 5366, 32, 6680, 20, 284, 298, 280, 447, 1676, 26, 3515, 30, 9073, 47, 1815, 27, 284, 298, 32, 1684, 346, 203, 589, 617, 4229, 11170, 81, 3789, 2262, 284, 1550, 81, 1515, 280, 622, 15598, 346, 284, 663, 1515, 440, 7999, 19166, 31, 36, 32, 34, 32, 34, 657, 284, 4774, 280, 5587, 7799, 769, 4254, 9178, 2868, 33, 360, 297, 703, 33, 4229, 11170, 766, 324, 962, 1930, 766, 324, 962, 12798, 1930, 2443, 20, 284, 298, 280, 447, 1676, 26, 3515, 30, 9073, 47, 1815, 27, 284, 298, 32, 1684, 346, 284, 663, 1515, 26, 1700, 81, 1515, 27, 203, 589, 617, 4229, 11170, 81, 2121, 2262, 284, 6424, 11170, 81, 983, 280, 2430, 2868, 33, 360, 297, 703, 33, 4229, 11170, 5681, 284, 4533, 101, 280, 16277, 284, 4533, 280, 5461, 101, 33, 1771, 6069, 101, 33, 17434, 6069, 101, 20, 904, 308, 4229, 11170, 81, 983, 30, 6424, 11170, 81, 983, 30, 4533, 101, 1365, 4065, 6890, 284, 442, 4533, 203, 589, 617, 4229, 11170, 81, 5207, 2262, 284, 4533, 101, 280, 617, 4229, 11170, 81, 2121, 346, 284, 4774, 280, 313, 9860, 2601, 429, 104, 630, 1877, 20, 284, 298, 280, 447, 1676, 26, 3515, 30, 9073, 47, 1815, 30, 4533, 7814, 4065, 563, 16447, 1748, 284, 298, 32, 1684, 346, 203, 589, 6424, 11170, 81, 3789, 2262, 284, 617, 4229, 11170, 81, 1855, 81, 371, 346, 284, 617, 4229, 11170, 81, 1855, 81, 8281, 346, 284, 617, 4229, 11170, 81, 3789, 346, 284, 617, 4229, 11170, 81, 5207, 346, 203, 589, 6440, 81, 3789 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 1, 1, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 2, 2, 4, 4, 6, 6, 2, 2, 5, 5, 6, 6, 6, 6, 6, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 6, 5, 2, 2, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 6, 6, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 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, 4, 4, 7, 7, 7, 7, 7, 7, 5, 5, 2, 2, 4, 4, 6, 6, 7, 6, 6, 7, 8, 6, 2, 2, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 7, 6, 6, 7, 8, 6, 2, 2, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 7, 6, 6, 7, 8, 6, 2, 2, 5, 6, 5, 2, 2, 5, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 8, 7, 9, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 7, 6, 6, 7, 8, 6, 6, 7, 11, 11, 10, 8, 2, 2, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2 ]
[ 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, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 0, 8, 8, 1, 1, 1, 1, 1, 1, 2, 8, 8, 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, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 9, 9, 1, 1, 1, 1, 1, 1, 2, 9, 9, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 10, 10, 1, 1, 1, 1, 2, 10, 10, 0, 0, 0, 0, 0, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 0, 5, 1, 2, 4, 4, 3, 0, 12, 12, 1, 1, 1, 1, 2, 12, 12, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 2, 2, 2, 4, 4, 0, 2, 1, 0, 13, 13, 1, 1, 1, 2, 13, 13, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 0, 14, 14, 1, 1 ]