Datasets:
patrykbart
/
codeparrot-clean-no-comments-starencoder-small

Dataset card Data Studio Files Community
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
[ 1070, 8527, 32, 12023, 32, 21031, 32, 42986, 1188, 546, 4270, 17131, 620, 203, 1070, 8527, 32, 1199, 32, 11514, 32, 14107, 37, 32, 410, 32402, 1188, 308, 284, 6716, 1428, 32402, 30, 24151, 1478, 1176, 10136, 7167, 30, 203, 27, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 823, 16281, 17264, 1478, 1176, 10136, 7167, 26, 17264, 1478, 1176, 10136, 7167, 711, 284, 1695, 81, 605, 81, 2516, 81, 9833, 280, 24151, 1478, 1176, 10136, 7167, 32, 1439, 81, 605, 81, 2516, 81, 9833, 32, 2991, 346, 284, 1695, 81, 605, 81, 2516, 81, 9833, 32, 1877, 26, 291, 5053, 1493, 950, 330, 9518, 1176, 370, 276, 330, 1800, 445, 2582, 950, 330, 9518, 1176, 370, 276, 330, 20003, 950, 330, 9518, 1176, 370, 276, 330, 11076, 1150, 950, 330, 9518, 1176, 370, 276, 330, 7740, 335, 266, 445, 2582, 950, 330, 9518, 1176, 370, 276, 330, 11076, 4605, 7059, 950, 330, 9518, 1176, 370, 276, 330, 10119, 4170, 950, 330, 9518, 1176, 370, 276, 1790, 203, 823, 5022, 269, 905, 13658, 1428, 32402, 26, 3954, 1428, 32402, 711, 284, 706, 81, 2516, 81, 9833, 280, 16281, 17264, 1478, 1176, 10136, 7167, 346, 284, 665, 622, 81, 10119, 81, 681, 26, 784, 30, 1858, 81, 426, 30, 12266, 81, 748, 711, 291, 6213, 280, 630, 32, 3841, 32, 7017, 346, 291, 1596, 44, 324, 827, 81, 748, 280, 330, 681, 25, 415, 630, 32, 3841, 32, 4156, 32, 20847, 81, 1648, 333, 308, 38, 30, 225, 34, 30, 225, 34, 27, 813, 330, 10119, 81, 681, 25, 324, 6213, 32, 4526, 463, 4620, 5099, 81, 11694, 30, 309, 1923, 30, 904, 101, 330, 6029, 330, 9067, 13013, 81, 6057, 330, 6029, 330, 16995, 296, 81, 1274, 81, 426, 47, 1784, 101, 3114, 296, 81, 10119, 81, 2592, 47, 1784, 101, 25, 904, 827, 81, 748, 30, 6029, 308, 1274, 81, 426, 30, 12266, 81, 748, 490, 324, 2698, 280, 6213, 32, 5140, 658, 346, 324, 415, 646, 2698, 44, 400, 3636, 3268, 463, 9752, 646, 2290, 312, 13013, 2623, 436, 5461, 101, 9246, 23, 101, 14891, 904, 1378, 308, 1274, 81, 426, 30, 12266, 81, 748, 490, 324, 337, 771, 81, 681, 280, 2698, 77, 36, 79, 324, 415, 6937, 26, 97, 771, 81, 681, 30, 18792, 32, 5823, 81, 2516, 27, 461, 337, 771, 81, 681, 848, 225, 35, 34, 34, 34, 44, 400, 337, 771, 81, 681, 280, 337, 771, 81, 681, 904, 225, 35, 34, 34, 34, 474, 546, 4270, 17131, 620, 32, 105, 11256, 36, 39, 2400, 324, 1600, 81, 681, 280, 546, 4270, 17131, 620, 26, 97, 771, 81, 681, 547, 11025, 324, 4406, 280, 2698, 77, 34, 79, 324, 309, 1923, 280, 2698, 77, 35, 79, 324, 1600, 81, 2132, 280, 2149, 324, 415, 309, 1923, 863, 225, 38, 37, 36, 40, 44, 400, 1600, 81, 2132, 710, 101, 1923, 785, 280, 309, 1923, 324, 415, 308, 38003, 26, 3534, 30, 18792, 32, 800, 81, 2516, 27, 461, 330, 76, 25, 328, 4406, 27, 556, 4406, 610, 225, 37, 44, 400, 1600, 81, 2132, 710 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 6, 7, 6, 2, 2, 6, 6, 6, 6, 6, 6, 5, 6, 5, 5, 5, 9, 9, 7, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 9, 9, 9, 6, 6, 9, 9, 7, 9, 9, 9, 6, 6, 9, 9, 9, 7, 9, 9, 9, 6, 6, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 9, 9, 9, 6, 6, 9, 9, 9, 7, 9, 9, 9, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 4, 4, 5, 5, 5, 9, 9, 8, 8, 11, 11, 9, 9, 13, 14, 12, 13, 11, 12, 12, 12, 10, 10, 12, 11, 11, 12, 11, 11, 12, 11, 9, 9, 11, 11, 11, 11, 6, 6, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 11, 11, 9, 9, 9, 11, 11, 11, 10, 10, 11, 11, 10, 6, 6, 8, 8, 10, 11, 11, 10, 6, 6, 7, 8, 7, 7, 7, 9, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 12, 14, 14, 14, 13, 13, 14, 14, 13, 6, 6, 9, 9, 9, 8, 8, 9, 10, 9, 6, 6, 7, 10, 11, 11, 11, 11, 10, 10, 11, 12, 12, 12, 10, 8, 8, 10, 10, 10, 9, 9, 10, 10, 10, 10, 7, 7, 7, 11, 11, 11, 10, 10, 13, 13, 13, 12, 12, 13, 13, 13, 13, 11, 11, 13, 13, 13, 12, 13, 13, 13, 13, 13, 6, 6, 9, 9, 8, 8, 11, 11, 11, 11, 12, 12, 12, 12, 11, 10, 6, 6, 8, 8, 9, 10, 9, 6, 6, 9, 8, 8, 9, 10, 9, 6, 6, 9, 9, 8, 8, 6, 6, 7, 9, 8, 8, 9, 9, 9, 9, 7, 7, 7, 12, 12, 11, 13, 13, 13, 10, 10, 11, 6, 6, 7, 12, 12, 13, 12, 12, 13, 14, 14, 14, 12, 10, 10, 13, 13, 11, 11, 9, 8, 8, 9, 9, 10, 7, 7, 7, 12, 12, 11 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 6, 1, 8, 8, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 2, 5, 1, 1, 2, 1, 1, 1, 1, 2, 7, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 2, 1, 1, 1, 1, 1, 2, 11, 1, 1, 2, 1, 1, 1, 1, 2, 13, 1, 1, 2, 1, 1, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 4, 4, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 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, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 3, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 10, 0, 1, 1, 2, 2, 2, 2, 10, 10, 10, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 11, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 11, 11, 11, 0, 0, 0 ]
[ 1070, 8527, 32, 525, 1188, 17874, 203, 1070, 8527, 32, 4338, 32, 28497, 32, 14250, 1188, 23049, 81, 327, 30816, 203, 1070, 5034, 32, 1831, 32, 3378, 1188, 319, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 1070, 5034, 32, 1831, 32, 34243, 1188, 319, 203, 1070, 5034, 32, 1831, 32, 34743, 1188, 319, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 11123, 27209, 203, 1070, 6109, 81, 2846, 1188, 38767, 203, 1070, 6109, 81, 2846, 1188, 1797, 1316, 203, 1070, 6109, 81, 2846, 1188, 4227, 203, 1070, 6109, 81, 2846, 32, 1986, 1188, 5170, 203, 1070, 6109, 81, 2846, 1188, 2287, 203, 465, 14735, 203, 465, 7138, 203, 1070, 1695, 81, 4338, 1188, 319, 203, 823, 28172, 9419, 720, 26, 1761, 720, 711, 284, 1542, 280, 24274, 284, 16614, 81, 823, 280, 24274, 7262, 284, 6501, 81, 4820, 280, 308, 3402, 68, 21899, 21713, 284, 665, 617, 371, 81, 37741, 26, 784, 711, 291, 5881, 439, 883, 2318, 31992, 1412, 439, 3860, 312, 2599, 496, 30, 556, 439, 3860, 600, 5605, 556, 1256, 328, 688, 12083, 5881, 291, 1695, 280, 24274, 32, 5740, 291, 415, 630, 32, 1357, 32, 496, 32, 297, 81, 39744, 44, 324, 442, 1695, 32, 464, 346, 291, 442, 1695, 32, 2029, 26, 324, 46089, 505, 266, 280, 428, 630, 32, 1357, 32, 496, 1481, 291, 6804, 25524, 346, 523, 1695, 32, 2029, 26, 324, 4250, 505, 266, 280, 428, 630, 32, 1357, 32, 496, 1481, 291, 6804, 25524, 346, 203, 823, 28172, 9419, 5287, 26, 1761, 5287, 711, 284, 1542, 280, 24274, 284, 16614, 81, 823, 280, 24274, 7262, 284, 6501, 81, 4820, 280, 308, 3402, 68, 21899, 21713, 203, 823, 28172, 9419, 12567, 38052, 720, 26, 1761, 1721, 720, 711, 284, 1542, 280, 25547, 38052, 284, 16614, 81, 823, 280, 25547, 38052, 7262, 284, 6501, 81, 4820, 280, 308, 3402, 68, 21899, 21713, 284, 2935, 81, 1160, 280, 24274, 284, 12112, 280, 330, 16676, 81, 29727, 25, 284, 2364, 444, 280, 3177, 284, 665, 617, 371, 81, 37741, 26, 784, 711, 291, 5881, 372, 1149, 5911, 328, 322, 12083, 30, 439, 2298, 526, 312, 2599, 496, 556, 1086, 5605, 5881, 291, 12083, 280, 24274, 32, 5740, 32, 371, 26, 3174, 47, 784, 32, 5321, 710, 3174, 3490, 291, 415, 646, 308, 784, 32, 1357, 32, 496, 32, 297, 81, 39744, 556, 630, 32, 1357, 32, 496, 328, 12083, 32, 33914, 32, 464, 22805, 324, 3636, 11123, 27209, 346, 291, 442, 25547, 38052, 32, 5740, 32, 2029, 26, 12708, 81, 1170, 81, 16676, 81, 29727, 505, 266, 280, 428, 12083, 8834, 203, 823, 28172, 9419, 3699, 720, 26, 1761, 1721, 720, 711, 284, 1542, 280, 2680, 284, 16614, 81, 823, 280, 2680, 7262, 284, 6501, 81, 4820, 280, 308, 3402, 68, 21899, 21713, 284, 2935, 81, 1160, 280, 24274, 284, 12112, 280, 330, 3707, 25, 284, 2364, 444, 280, 2933, 284, 12202, 81, 4457, 81, 678, 81, 267, 81, 1526, 81, 302, 280, 330, 12708, 25, 284, 665, 617, 371, 81, 37741, 26, 784, 711, 291, 5881, 372, 1149, 4250, 328, 322 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 7, 8, 4, 4, 5, 8, 9, 7, 8, 6, 7, 7, 7, 5, 5, 5, 7, 9, 10, 9, 4, 4, 5, 10, 11, 10, 10, 10, 12, 12, 11, 11, 12, 14, 15, 13, 14, 12, 10, 10, 9, 8, 6, 6, 10, 11, 10, 10, 10, 12, 12, 11, 11, 12, 14, 15, 13, 14, 12, 10, 10, 9, 8, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 2, 2, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 9, 12, 11, 12, 10, 12, 12, 4, 4, 5, 6, 12, 11, 12, 10, 11, 9, 10, 10, 10, 8, 8, 11, 12, 10, 11, 9, 9, 12, 13, 11, 12, 11, 5, 5, 7, 9, 9, 4, 4, 5, 9, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 2, 2, 4, 4, 6, 6, 2, 2, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7 ]
[ 0, 0, 1, 2, 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, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 7, 7, 0, 0, 7, 7, 0, 8, 8, 0, 0, 8, 8, 0, 0, 9, 9, 0, 0, 9, 9, 0, 10, 10, 0, 0, 1, 2, 10, 10, 0, 11, 11, 0, 0, 11, 11, 0, 12, 12, 0, 13, 13, 0, 14, 14, 0, 0, 14, 14, 0, 15, 15, 1, 1, 2, 1, 1, 2, 15, 15, 0, 0, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 4, 4, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 4, 4, 3, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 16, 16, 1, 1, 2, 1, 1, 2, 16, 16, 0, 0, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 0, 17, 17, 1, 1, 1, 1, 2, 1, 1, 1, 2, 17, 17, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 4, 4, 6, 1, 1, 1, 2, 1, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 4, 4, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 4, 4, 3, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 18, 18, 1, 1, 1, 2, 1, 1, 1, 2, 18, 18, 0, 0, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 7, 1, 1, 1, 2, 1, 2, 7, 7, 1, 1, 1, 1, 1 ]
[ 465, 16539, 203, 465, 802, 203, 465, 22045, 32, 1357, 203, 465, 22045, 32, 2208, 203, 465, 5592, 32, 48609, 32, 1308, 3350, 619, 20523, 203, 1070, 23310, 2543, 1188, 319, 203, 1070, 23310, 2543, 2630, 1188, 319, 203, 1070, 8745, 1188, 319, 203, 465, 23978, 203, 823, 358, 874, 3300, 44, 334, 665, 1156, 1664, 3207, 784, 30, 6446, 2630, 711, 284, 630, 32, 1956, 280, 429, 35, 284, 630, 32, 1745, 1464, 280, 429, 35, 284, 630, 32, 15002, 2630, 280, 8142, 2630, 284, 630, 32, 20014, 280, 225, 34, 334, 665, 5630, 81, 1745, 1464, 26, 784, 711, 284, 415, 630, 32, 20014, 610, 225, 35, 499, 397, 34673, 1216, 440, 16379, 23608, 9175, 38949, 5218, 657, 397, 442, 284, 34673, 1216, 440, 6980, 6980, 6980, 6980, 6980, 6980, 6980, 6980, 6980, 6980, 6980, 6980, 6980, 43610, 657, 284, 34673, 1216, 440, 32902, 38949, 15981, 284, 630, 32, 20014, 280, 225, 35, 284, 630, 32, 1526, 81, 6654, 26, 35, 34, 27, 284, 630, 32, 371, 81, 1956, 346, 284, 630, 32, 1526, 81, 6654, 26, 37, 34, 27, 284, 415, 630, 32, 1956, 863, 429, 35, 44, 397, 630, 32, 371, 81, 1745, 1464, 346, 397, 630, 32, 1526, 81, 6654, 26, 40, 34, 27, 397, 630, 32, 2208, 81, 19432, 81, 10004, 346, 397, 630, 32, 1526, 81, 6654, 26, 42, 34, 27, 284, 630, 32, 20014, 280, 225, 34, 284, 630, 32, 1526, 81, 6654, 26, 35, 34, 34, 27, 284, 34673, 1216, 440, 32902, 38949, 3390, 15981, 284, 34673, 1216, 440, 6980, 6980, 6980, 6980, 6980, 6980, 6980, 6980, 6980, 6980, 6980, 6980, 6980, 43610, 657, 334, 665, 622, 81, 1956, 26, 784, 711, 284, 34673, 1216, 440, 2788, 48700, 26012, 657, 284, 1596, 44, 8572, 1984, 1057, 525, 555, 35, 43, 36, 32, 35, 40, 42, 32, 42, 32, 35, 33, 1237, 33, 45331, 33, 1956, 25, 397, 1326, 225, 280, 22045, 32, 1357, 32, 1104, 26, 965, 27, 397, 1789, 280, 22045, 32, 1357, 32, 305, 33786, 26, 1357, 27, 397, 3051, 280, 20523, 32, 1070, 800, 26, 1986, 32, 850, 1157, 397, 630, 32, 1956, 280, 3051, 32, 1809, 463, 1956, 1814, 878, 284, 2940, 44, 397, 34673, 1216, 440, 2930, 9175, 2404, 657, 397, 630, 32, 1956, 280, 429, 35, 334, 665, 622, 81, 1745, 1464, 26, 784, 711, 284, 34673, 1216, 440, 2788, 48700, 13723, 21126, 657, 284, 415, 630, 32, 1956, 610, 429, 35, 44, 397, 34673, 1216, 2884, 2930, 5535, 2404, 657, 397, 442, 429, 35, 284, 5592, 280, 36335, 2593, 1503, 347, 35, 32, 34, 20, 7328, 347, 6261, 31, 42, 37827, 772, 1357, 772, 1969, 1284, 4178, 44, 86, 5003, 1969, 1284, 772, 2230, 1534, 48, 35, 34, 377, 2230, 1534, 772, 1705, 620, 48, 35, 377, 1705, 620, 772, 5206, 620, 48, 34, 377, 5206, 620, 772, 42987, 48, 34, 377, 42987, 772, 1061, 850, 17225, 48, 34, 377, 1061, 850, 17225, 855, 1357, 6457, 284, 1984, 280, 330, 525, 555, 35, 43, 36, 32, 35, 40, 42, 32, 42, 32, 35, 33, 1237, 33 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 3, 4, 3, 4, 4, 2, 2, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 8, 4, 4, 7, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 7, 5, 5, 5, 9, 9, 11, 11, 11, 11, 11, 11, 6, 6, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 7, 9, 9, 9, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 8, 7, 4, 4, 5, 7, 8, 6, 6, 8, 5, 5, 5, 9, 10, 10, 10, 10, 9, 6, 6, 9, 10, 10, 10, 9, 10, 10, 9, 6, 6, 9, 10, 10, 10, 10, 10, 9, 6, 6, 9, 10, 10, 10, 9, 10, 10, 9, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 7, 9, 9, 9, 9, 4, 4, 7, 7, 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, 7, 7, 9, 9, 9, 9, 4, 4, 5, 5, 5, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 8, 8, 8, 11, 12, 10, 11, 10, 11, 10, 6, 6, 8, 8, 11, 12, 10, 11, 11, 10, 11, 10, 6, 6, 8, 8, 10, 11, 11, 10, 13, 12, 13, 12, 6, 6, 9, 10, 8, 8, 11, 12, 11, 13, 13, 10, 5, 5, 6, 6, 6, 10, 10, 12, 12, 12, 12, 7, 7, 10, 11, 9, 9, 11, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 9, 9, 9, 9, 9, 4, 4, 5, 7, 8, 6, 6, 8, 5, 5, 5, 9, 8, 11, 11, 11, 11, 6, 6, 7, 9, 4, 4, 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, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 3, 3, 1, 2, 0, 4, 4, 0, 2, 0, 4, 4, 1, 1, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 0, 6, 6, 0, 7, 7, 7, 7, 0, 8, 8, 0, 9, 9, 1, 1, 9, 9, 9, 0, 1, 1, 1, 2, 3, 3, 2, 0, 0, 0, 2, 0, 0, 1, 4, 4, 0, 2, 2, 0, 0, 1, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 2, 3, 3, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 7, 0, 2, 1, 1, 1, 7, 7, 7, 0, 2, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 3, 3, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 3, 3, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 638, 8771, 1188, 892, 30, 17727, 6829, 203, 1070, 638, 923, 81, 678, 1188, 17727, 953, 30, 17727, 9548, 72, 34, 35, 30, 3891, 6166, 924, 203, 1070, 638, 923, 81, 678, 1188, 3909, 81, 923, 81, 678, 81, 19011, 30, 3909, 81, 15324, 81, 19011, 203, 823, 617, 1937, 36, 39, 39, 35, 43, 953, 26, 19466, 953, 711, 284, 8218, 280, 323, 1182, 615, 31, 318, 36, 39, 39, 35, 43, 25, 284, 665, 1156, 1664, 3207, 784, 30, 11880, 30, 3001, 711, 291, 630, 1114, 8768, 280, 11880, 291, 630, 1114, 1990, 280, 3001, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 442, 308, 38003, 26, 2455, 30, 630, 3667, 823, 8223, 461, 400, 630, 1114, 8768, 610, 1604, 1114, 8768, 461, 630, 1114, 1990, 610, 1604, 1114, 1990, 27, 284, 665, 1156, 2888, 3207, 784, 711, 291, 442, 3677, 26, 784, 1114, 8768, 27, 284, 477, 17614, 284, 665, 1930, 81, 2055, 26, 6933, 30, 11880, 30, 3001, 711, 291, 442, 9011, 26, 8768, 30, 3001, 27, 284, 477, 17614, 284, 665, 1930, 81, 923, 26, 6933, 30, 11880, 711, 291, 442, 9011, 26, 8768, 30, 1665, 27, 284, 477, 17614, 284, 665, 9843, 81, 9404, 81, 2055, 26, 6933, 30, 6882, 711, 291, 11880, 280, 6882, 32, 371, 81, 800, 346, 291, 3001, 280, 6882, 32, 371, 81, 800, 346, 291, 442, 11880, 30, 3001, 284, 477, 17614, 284, 665, 9843, 81, 9404, 81, 923, 26, 6933, 30, 6882, 711, 291, 11880, 280, 6882, 32, 371, 81, 800, 346, 291, 442, 308, 8768, 21713, 284, 665, 9336, 81, 9404, 81, 2055, 26, 784, 711, 291, 415, 630, 1114, 1990, 438, 1665, 44, 324, 3636, 3891, 6166, 924, 463, 953, 438, 646, 945, 683, 291, 442, 323, 25, 2473, 2524, 1162, 652, 26, 784, 32, 12124, 471, 892, 26, 784, 1114, 8768, 471, 656, 892, 26, 784, 1114, 1990, 2610, 284, 665, 9336, 81, 9404, 81, 923, 26, 784, 711, 291, 442, 323, 25, 2473, 2524, 1162, 652, 26, 784, 32, 12124, 471, 892, 26, 784, 1114, 8768, 2610, 284, 665, 2596, 26, 784, 30, 706, 711, 291, 415, 630, 1114, 1990, 438, 1665, 44, 324, 3636, 10091, 463, 6527, 1202, 5349, 436, 23134, 683, 291, 6915, 280, 5034, 96, 12402, 32, 8861, 81, 1333, 26, 605, 30, 630, 1114, 1990, 27, 291, 442, 323, 25, 2473, 2524, 1162, 652, 26, 784, 32, 12124, 471, 892, 26, 4994, 20129, 1657, 26, 605, 2177, 2610, 284, 665, 6144, 26, 784, 30, 706, 30, 6915, 711, 291, 6882, 280, 17727, 6829, 26, 4994, 27, 291, 415, 6882, 32, 371, 81, 800, 346, 863, 630, 32, 12124, 44, 324, 442, 3177, 291, 6915, 280, 6882, 32, 371, 81, 800, 346, 291, 6882, 32, 1553, 81, 416, 346, 291, 1596, 44, 324, 442, 5034, 96, 12402, 32, 8861, 81, 1333, 81, 1676, 26, 4994, 474, 706, 30, 630, 1114, 8768, 27, 610, 706, 291, 2940, 10091, 44, 324, 442, 3177, 203, 1270, 44, 284, 1188, 5034, 96, 12402, 203, 7343, 308, 4196, 924, 30, 546, 21887, 711, 284, 3097 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 10, 10, 11, 10, 10, 11, 12, 12, 8, 8, 8, 10, 11, 9, 9, 10, 11, 7, 7, 9, 10, 8, 8, 9, 10, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 8, 9, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 8, 9, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 7, 7, 9, 10, 10, 10, 9, 5, 5, 7, 7, 9, 10, 10, 10, 9, 5, 5, 6, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 7, 7, 9, 10, 10, 10, 9, 5, 5, 6, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 7, 9, 9, 9, 11, 11, 11, 11, 11, 4, 4, 5, 9, 9, 8, 7, 10, 10, 12, 11, 12, 10, 8, 10, 12, 11, 12, 10, 8, 8, 10, 12, 11, 12, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 9, 8, 7, 10, 10, 12, 11, 12, 10, 8, 10, 12, 11, 12, 10, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 4, 4, 6, 6, 9, 9, 8, 9, 9, 9, 8, 9, 8, 8, 9, 10, 8, 4, 4, 5, 9, 9, 8, 7, 10, 10, 12, 11, 12, 10, 8, 10, 12, 11, 15, 15, 16, 15, 10, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 8, 9, 8, 4, 4, 5, 8, 9, 9, 9, 8, 6, 6, 7, 8, 5, 5, 5, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 4, 4, 5, 5, 5, 7, 11, 11, 10, 11, 11, 11, 11, 11, 10, 12, 11, 11, 10, 10, 11, 12, 10, 8, 8, 5, 5, 6, 6, 6, 6, 8, 0, 1, 1, 1, 1, 3, 5, 5, 1, 2, 2, 4, 4, 3, 3, 4, 3, 2, 2 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 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, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 3, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 1, 0, 1, 2, 1, 4, 4, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 4, 4, 1, 5, 5, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 4, 4, 1, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 4, 4, 1, 7, 7, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 4, 4, 8, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 4, 4, 9, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 4, 4, 10, 2, 1, 2, 2, 2, 10, 10, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 4, 4, 11, 2, 1, 2, 2, 2, 2, 2, 11, 11, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 4, 4, 3, 3, 3, 3, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 3, 3, 1, 1, 1, 1, 3, 1, 3, 3 ]
[ 1070, 3089, 749, 98, 1188, 4549, 30, 3829, 30, 4125, 203, 465, 3089, 749, 98, 32, 23403, 32, 12710, 81, 15144, 619, 11339, 203, 823, 20754, 3842, 26, 3378, 32, 1243, 711, 284, 617, 426, 280, 313, 15480, 32, 4415, 32, 5275, 20, 284, 617, 2310, 280, 313, 14996, 20754, 27988, 20, 284, 617, 1174, 280, 330, 7508, 30, 1149, 81, 4415, 25, 284, 477, 1237, 32, 27263, 463, 4502, 370, 330, 2989, 370, 330, 1449, 81, 853, 370, 330, 668, 81, 1439, 81, 4415, 370, 330, 668, 81, 4415, 370, 330, 4502, 81, 9410, 683, 284, 665, 617, 371, 81, 426, 26, 784, 711, 291, 436, 5750, 328, 630, 44, 324, 636, 280, 330, 325, 904, 101, 904, 101, 904, 101, 1615, 25, 904, 308, 5275, 32, 4502, 30, 5750, 32, 2989, 30, 5750, 32, 1449, 81, 853, 27, 324, 415, 5750, 32, 668, 81, 1439, 81, 4415, 461, 646, 5750, 32, 668, 81, 4415, 44, 400, 636, 280, 6611, 101, 5253, 7661, 904, 101, 25, 904, 308, 426, 30, 5750, 32, 668, 81, 1439, 81, 4415, 27, 324, 4348, 5750, 32, 668, 81, 4415, 461, 646, 5750, 32, 668, 81, 1439, 81, 4415, 44, 400, 636, 280, 6611, 101, 904, 101, 6496, 904, 101, 25, 904, 308, 426, 30, 5750, 32, 668, 81, 4415, 30, 5750, 32, 4502, 81, 9410, 27, 324, 813, 44, 400, 636, 280, 6611, 101, 5253, 7661, 904, 101, 461, 904, 101, 6496, 904, 101, 24188, 25, 904, 308, 426, 30, 5750, 32, 668, 81, 1439, 81, 4415, 30, 5750, 32, 668, 81, 4415, 30, 5750, 32, 4502, 81, 9410, 27, 324, 5750, 32, 426, 280, 636, 284, 636, 280, 3829, 32, 2659, 26, 7924, 40547, 371, 81, 426, 683, 284, 6613, 280, 3829, 32, 3061, 26, 3648, 47, 1815, 30, 3049, 347, 57, 4119, 322, 6613, 2532, 1412, 32718, 18198, 42983, 4414, 1244, 47, 35, 34, 27, 284, 42983, 81, 314, 280, 3829, 32, 7434, 36, 658, 463, 15480, 32, 37583, 370, 330, 43514, 370, 2129, 47, 1815, 30, 544, 2560, 1057, 26640, 683, 284, 2677, 280, 3829, 32, 5374, 2009, 463, 3292, 370, 330, 7583, 1425, 2726, 7236, 370, 330, 6795, 1425, 2726, 23996, 370, 330, 7583, 319, 18680, 1425, 2726, 4415, 370, 330, 5606, 1425, 2726, 10954, 370, 330, 13017, 36977, 330, 3818, 370, 2129, 47, 1815, 30, 1244, 1057, 3292, 683, 284, 4134, 280, 3829, 32, 5374, 2009, 463, 379, 370, 34020, 471, 2726, 10040, 370, 4145, 1057, 471, 2726, 46, 370, 4145, 1425, 2726, 7148, 370, 32041, 1057, 471, 2726, 10154, 330, 22639, 614, 330, 7145, 370, 2129, 47, 1815, 30, 1244, 1057, 10040, 683, 284, 1769, 81, 853, 280, 3829, 32, 3670, 463, 12726, 3846, 370, 2129, 47, 1815, 27, 284, 2677, 81, 9410, 280, 3829, 32, 5374, 2009, 463, 3292, 370, 330, 7583, 1425, 2726, 7236, 370, 330, 6795, 1425, 2726, 23996, 370, 330, 7583, 319, 18680, 1425, 2726, 4415, 370, 330, 5606, 1425, 2726, 10954, 370, 330, 13017, 36977, 330, 3818, 38344, 370, 2129, 47, 1815, 30, 1244, 1057, 3292, 683, 284, 1149, 81, 1439, 81, 4415, 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, 3, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 4, 3, 4, 3, 4, 4, 4, 2, 2, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 7, 6, 7, 6, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 13, 12, 13, 11, 11, 12, 13, 11, 11, 12, 13, 13, 13, 11, 7, 7, 8, 10, 11, 11, 11, 11, 11, 9, 9, 10, 11, 12, 12, 12, 8, 8, 8, 11, 11, 14, 14, 14, 14, 14, 14, 12, 12, 14, 13, 13, 14, 15, 15, 15, 15, 15, 13, 8, 8, 9, 11, 12, 12, 12, 10, 10, 11, 12, 13, 13, 13, 13, 13, 9, 9, 9, 12, 12, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 14, 14, 15, 16, 16, 16, 14, 14, 15, 16, 16, 16, 14, 8, 8, 9, 9, 9, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 14, 14, 15, 16, 16, 16, 16, 16, 14, 14, 15, 16, 16, 16, 14, 14, 15, 16, 16, 16, 14, 7, 7, 10, 11, 9, 9, 2, 2, 4, 4, 6, 7, 6, 8, 7, 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, 6, 7, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 6, 8, 8, 6, 7, 8, 6, 6, 8, 7, 9, 9, 2, 2, 4, 4, 6, 7, 6, 8, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 10, 10, 7, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 6, 8, 8, 6, 7, 8, 6, 6, 7, 9, 9, 2, 2, 4, 4, 6, 7, 6, 8, 10, 10, 8, 8, 7, 10, 10, 8, 10, 8, 7, 10, 10, 8, 10, 7, 10, 10, 8, 10, 8, 7, 10, 8, 10, 7, 6, 8, 8, 6, 7, 8, 6, 6, 7, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 10, 10, 7, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 6, 8, 8, 8, 6, 7, 8, 6, 6, 7, 9, 9, 2, 2, 5, 5, 5, 5, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 4, 4, 4, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 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, 1, 1, 2, 4, 4, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 2, 5, 5, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 1, 1, 4, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 1, 1, 5, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 5, 5, 0, 2, 0, 0, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 5, 2, 1, 1, 0, 7, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 3, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 1, 1, 2, 7, 1, 2, 1, 1, 2, 9, 1, 2, 1, 1, 2, 1, 5, 2, 1, 1, 7, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 3, 1, 1, 2, 5, 2, 1, 1, 2, 7, 1, 7, 1, 1, 9, 1, 1, 1, 1, 2, 1, 5, 2, 1, 1, 7, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 3, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 1, 1, 2, 7, 1, 2, 1, 1, 2, 9, 1, 2, 1, 1, 1, 2, 1, 5, 2, 1, 1, 7, 1, 2, 4, 4, 0, 0, 0, 0, 0 ]
[ 100, 2993, 203, 2272, 1340, 1597, 4723, 810, 203, 78, 517, 617, 264, 617, 225, 617, 110, 261, 617, 225, 617, 203, 523, 47680, 5272, 21965, 2176, 110, 5272, 110, 523, 7009, 81, 225, 354, 35, 32, 34, 32, 34, 397, 517, 958, 517, 203, 2993, 203, 1070, 8206, 24540, 32, 1439, 1188, 16975, 203, 1070, 8206, 24540, 32, 1439, 1188, 2078, 203, 1070, 8206, 24540, 32, 1439, 32, 2386, 81, 1819, 1188, 11617, 1222, 203, 1070, 8206, 24540, 32, 1439, 32, 2386, 81, 3142, 1188, 11617, 2291, 203, 1070, 8206, 24540, 32, 1439, 32, 668, 81, 3142, 1188, 1682, 2291, 203, 1070, 8206, 24540, 32, 1439, 32, 1637, 1188, 6012, 203, 1070, 8206, 24540, 32, 4738, 32, 5207, 32, 104, 35, 32, 2122, 32, 5207, 81, 2238, 32, 2238, 81, 1436, 1188, 7537, 1175, 720, 203, 823, 14353, 1862, 720, 26, 720, 2291, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1503, 30, 2719, 81, 11649, 711, 291, 2599, 26, 4764, 1862, 720, 30, 630, 14585, 1664, 3207, 1648, 27, 291, 630, 1114, 10957, 280, 5053, 2122, 81, 11649, 950, 2719, 81, 11649, 30, 320, 291, 630, 1114, 3423, 280, 3056, 5454, 5263, 2122, 81, 11649, 3188, 18075, 2473, 1643, 14605, 784, 1114, 10957, 27, 284, 665, 1487, 26, 784, 30, 5799, 81, 426, 47, 2810, 32, 16811, 30, 28400, 47, 2810, 32, 16811, 711, 291, 706, 280, 2078, 32, 1028, 14178, 10189, 558, 950, 5799, 81, 426, 30, 330, 70, 5390, 950, 28400, 30, 1790, 291, 5797, 280, 630, 1114, 1648, 32, 1297, 26, 324, 330, 3705, 370, 324, 630, 1114, 3423, 30, 324, 706, 47, 605, 30, 291, 829, 291, 442, 14353, 1862, 1810, 26, 784, 1114, 1648, 30, 5797, 30, 2719, 81, 11649, 47, 784, 1114, 10957, 710, 2122, 81, 11649, 2188, 829, 284, 665, 3443, 26, 784, 30, 2723, 47, 2521, 30, 1938, 81, 891, 47, 2521, 711, 291, 17740, 280, 630, 1114, 1648, 32, 850, 81, 13495, 26, 3248, 30, 1938, 81, 891, 27, 291, 1938, 280, 630, 32, 1637, 26, 1637, 81, 891, 47, 13495, 710, 1637, 81, 891, 2188, 829, 291, 442, 630, 1114, 1648, 32, 2238, 26, 1637, 30, 17740, 710, 3248, 2188, 17740, 710, 1637, 81, 3248, 3490, 284, 665, 1149, 26, 784, 30, 2723, 47, 2521, 30, 1938, 81, 891, 47, 2521, 711, 291, 442, 1149, 26, 784, 32, 2238, 26, 3248, 47, 3248, 30, 1938, 81, 891, 47, 1637, 81, 891, 30, 9658, 284, 665, 1938, 26, 784, 30, 1938, 81, 1956, 47, 2810, 32, 16811, 30, 1938, 81, 2171, 47, 2810, 32, 16811, 30, 1802, 1938, 81, 891, 47, 2810, 32, 16811, 711, 291, 2803, 280, 2078, 32, 1028, 14178, 37414, 950, 1938, 81, 1956, 30, 330, 1969, 950, 1938, 81, 2171, 30, 330, 25360, 950, 1938, 81, 891, 30, 1790, 291, 1789, 280, 630, 1114, 1648, 32, 1637, 26, 324, 330, 2788, 370, 324, 630, 1114, 3423, 30, 324, 2803, 47, 2132, 30, 291, 829, 291, 442, 14353, 1862, 1969, 26, 784, 1114, 1648, 30, 1789, 30, 630, 1114, 10957, 27, 284, 665, 622, 81, 1637, 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 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 10, 10, 10, 10, 8, 9, 9, 7, 7, 4, 4, 7, 8, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 11, 10, 11, 8, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 7, 6, 7, 4, 4, 5, 7, 6, 7, 4, 3, 3, 6, 6, 8, 9, 8, 12, 12, 12, 10, 11, 11, 9, 9, 12, 12, 12, 10, 9, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 8, 8, 10, 10, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 4, 4, 5, 7, 7, 7, 9, 8, 9, 7, 7, 7, 7, 9, 9, 8, 11, 10, 11, 9, 11, 11, 11, 11, 7, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 9, 11, 10, 12, 12, 12, 12, 8, 4, 4, 5, 8, 9, 7, 8, 7, 8, 7, 7, 8, 10, 10, 7, 8, 10, 10, 10, 10, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 7, 10, 9, 10, 9, 11, 10, 11, 9, 9, 11, 11, 10, 11, 11, 11, 9, 9, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 7, 6, 7, 4, 4, 6, 6, 5, 7, 6, 7, 4, 4, 4, 6, 6, 5, 7, 6, 7, 4, 3, 3, 6, 6, 8, 9, 8, 12, 12, 10, 11, 11, 9, 9, 12, 12, 10, 11, 11, 9, 9, 12, 12, 10, 11, 11, 9, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 8, 8, 10, 10, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 4, 4, 5, 7, 7, 7, 9, 8, 9, 7, 7, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5 ]
[ 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, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 4, 4, 5, 5, 0, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 7, 7, 0, 1, 2, 1, 4, 1, 6, 6, 1, 8, 1, 10, 10, 10, 1, 12, 12, 12, 7, 7, 0, 0, 0, 8, 8, 1, 1, 2, 1, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 2, 1, 2, 2, 0, 0, 3, 0, 2, 2, 2, 2, 5, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 3, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 1, 4, 4, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 5, 0, 0, 2, 2, 1, 1, 1, 2, 1, 4, 4, 2, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 4, 4, 2, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 2, 1, 5, 1, 1, 1, 2, 4, 4, 3, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 3, 3, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 4, 4, 4, 2, 1, 2, 2, 0, 0, 3, 0, 2, 2, 2, 2, 0, 0, 5, 0, 2, 2, 2, 2, 2, 0, 0, 7, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 2, 5, 2, 2, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 1, 4, 4, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 5, 2, 1, 4, 4, 5, 1, 1, 2, 1 ]
[ 465, 1933, 203, 465, 7138, 203, 465, 19571, 203, 465, 15798, 203, 1070, 8527, 32, 858, 1188, 2684, 81, 3550, 203, 1070, 8527, 32, 2304, 1188, 22158, 203, 1270, 44, 284, 1188, 3619, 10185, 203, 7343, 29986, 44, 284, 3619, 10185, 280, 1665, 203, 13966, 81, 978, 10185, 280, 15798, 32, 5961, 2797, 26, 978, 10185, 438, 1665, 30, 313, 578, 894, 7171, 3619, 10185, 657, 203, 325, 3619, 10185, 438, 646, 1665, 44, 284, 390, 1218, 280, 3619, 10185, 32, 18218, 440, 31560, 33, 926, 297, 657, 203, 55, 722, 280, 22158, 32, 371, 81, 8638, 81, 18218, 26, 35, 42, 34, 27, 958, 203, 12272, 280, 22158, 32, 371, 81, 8638, 81, 18218, 26, 38, 36, 34, 27, 958, 203, 823, 3717, 5634, 4470, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 1696, 1003, 26, 784, 711, 291, 2464, 280, 7138, 32, 6665, 32, 44026, 922, 3227, 26, 10185, 1338, 47, 18218, 32, 16700, 27, 291, 2196, 81, 10185, 280, 22158, 32, 3325, 44712, 346, 291, 2196, 81, 2174, 280, 22158, 32, 1696, 1003, 26, 2174, 30, 2196, 81, 10185, 27, 291, 630, 32, 5299, 26, 1696, 81, 2174, 32, 10185, 1338, 30, 2196, 81, 10185, 27, 284, 665, 894, 81, 1696, 1003, 81, 3258, 661, 26, 784, 711, 291, 623, 630, 32, 23895, 26, 22239, 711, 324, 22158, 32, 1696, 1003, 26, 6665, 32, 6665, 32, 2174, 1157, 284, 665, 894, 81, 1696, 1003, 81, 541, 81, 1028, 81, 3585, 26, 784, 711, 291, 2196, 81, 10185, 280, 22158, 32, 3325, 44712, 346, 291, 1946, 81, 13646, 280, 7138, 32, 6665, 26, 35, 43, 34, 34, 30, 225, 35, 30, 225, 35, 30, 25932, 1338, 47, 18218, 32, 16700, 27, 291, 1596, 44, 324, 22158, 32, 1696, 1003, 26, 3222, 81, 13646, 30, 2196, 81, 10185, 27, 291, 2940, 308, 9070, 924, 30, 10091, 27, 619, 13489, 44, 324, 630, 32, 33966, 440, 3789, 3619, 10185, 392, 13489, 32, 1132, 77, 34, 1130, 291, 813, 44, 324, 3636, 15798, 32, 11393, 1006, 440, 5288, 372, 6595, 600, 35207, 924, 556, 10091, 657, 284, 665, 894, 81, 2174, 26, 784, 711, 291, 623, 2684, 81, 3550, 26, 4855, 81, 19508, 47, 1815, 711, 324, 630, 32, 6549, 26, 18218, 32, 297, 81, 32811, 26, 18218, 32, 2174, 5156, 291, 623, 2684, 81, 3550, 26, 4855, 81, 19508, 47, 2700, 711, 324, 630, 32, 6549, 26, 18218, 32, 297, 81, 3258, 661, 26, 18218, 32, 2174, 5156, 284, 665, 894, 81, 7106, 26, 784, 711, 291, 1244, 280, 22158, 32, 371, 81, 1536, 81, 18218, 346, 291, 1596, 44, 324, 22158, 32, 11432, 26, 12272, 27, 324, 623, 22158, 32, 7106, 26, 55, 722, 711, 400, 630, 32, 25839, 26, 55, 722, 30, 22158, 32, 371, 81, 1700, 81, 18218, 1157, 324, 630, 32, 25839, 26, 12272, 30, 22158, 32, 371, 81, 1700, 81, 18218, 1157, 324, 623, 22158, 32, 7106, 26, 2521, 711, 400, 630, 32, 25839, 26, 1536, 30, 22158, 32, 371, 81, 1700, 81, 18218, 1157, 324, 630, 32, 25839, 26, 12272, 30, 22158, 32, 371, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 6, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 5, 5, 4, 6, 6, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 0, 1, 1, 3, 2, 2, 2, 1, 1, 1, 5, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 8, 0, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 0, 0, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 0, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 11, 12, 10, 11, 10, 9, 8, 10, 10, 9, 11, 10, 11, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 9, 8, 8, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 10, 9, 5, 5, 9, 10, 10, 9, 13, 12, 13, 11, 12, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 9, 8, 8, 9, 8, 8, 9, 8, 8, 10, 9, 11, 10, 11, 8, 4, 4, 5, 5, 5, 9, 10, 10, 9, 10, 10, 10, 9, 9, 10, 10, 9, 5, 5, 6, 9, 9, 8, 8, 8, 7, 7, 6, 6, 6, 10, 11, 10, 12, 12, 12, 12, 10, 12, 13, 11, 12, 11, 5, 5, 6, 6, 6, 8, 10, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 9, 9, 9, 11, 11, 11, 10, 11, 9, 5, 5, 9, 10, 9, 12, 11, 12, 12, 12, 11, 14, 13, 14, 13, 4, 4, 5, 9, 9, 9, 11, 11, 11, 10, 11, 9, 5, 5, 9, 10, 9, 12, 11, 12, 12, 12, 12, 11, 14, 13, 14, 13, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 5, 5, 9, 10, 9, 10, 9, 6, 6, 7, 11, 12, 11, 12, 12, 11, 7, 7, 11, 12, 11, 12, 12, 11, 11, 13, 14, 14, 14, 14, 14, 13, 6, 6, 9, 10, 9, 10, 9, 9, 11, 12, 12, 12, 12, 12, 11, 6, 6, 7, 11, 12, 11, 12, 11, 7, 7, 11, 12, 11, 12, 11, 11, 13, 14, 14, 14, 14, 14, 13, 6, 6, 9, 10, 9, 10, 9, 9, 11, 12, 12 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 6, 6, 0, 0, 6, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 8, 8, 0, 1, 1, 1, 8, 8, 8, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 11, 11, 1, 1, 2, 0, 1, 2, 2, 11, 11, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 0, 7, 0, 2, 2, 1, 4, 4, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 2, 3, 1, 1, 0, 0, 0, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 3, 2, 3, 2, 2, 4, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 4, 4, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 3, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 4377, 2304, 1188, 308, 284, 629, 81, 271, 81, 4108, 30, 284, 596, 81, 452, 81, 410, 30, 284, 43089, 81, 466, 770, 30, 203, 27, 203, 1070, 638, 479, 11735, 22195, 1188, 1224, 1291, 108, 29706, 3989, 203, 823, 12429, 579, 19505, 3989, 26, 61, 1291, 108, 29706, 3989, 711, 284, 617, 5915, 81, 2413, 280, 540, 25, 641, 49, 555, 18470, 1499, 8169, 6505, 775, 579, 19505, 8169, 508, 33, 11966, 33, 12390, 66, 46, 314, 5213, 86, 41341, 12390, 66, 46, 2751, 81, 314, 8828, 80, 8172, 21, 24, 32, 6155, 5421, 32, 916, 25, 284, 617, 24685, 280, 7316, 291, 330, 965, 950, 330, 525, 555, 1499, 32, 775, 579, 19505, 32, 508, 33, 11966, 33, 37, 35, 42, 35, 37, 35, 33, 43086, 305, 31, 36389, 31, 32029, 31, 363, 31, 36181, 19296, 1741, 31, 37, 35, 42, 35, 37, 35, 32, 916, 370, 291, 330, 954, 39, 950, 330, 37, 43, 83, 35, 39, 42, 39, 37, 40, 37, 36, 84, 41, 84, 36, 87, 39, 40, 41, 43, 88, 43, 36, 88, 40, 43, 84, 41, 42, 87, 43, 35, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 37, 35, 42, 35, 37, 35, 370, 324, 330, 2751, 81, 314, 950, 330, 43086, 305, 31, 36389, 31, 32029, 31, 363, 31, 36181, 19296, 1741, 31, 37, 35, 42, 35, 37, 35, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 43086, 305, 2694, 272, 19788, 461, 345, 633, 19296, 1741, 370, 324, 330, 12301, 950, 540, 4484, 44, 80, 641, 49, 555, 3424, 8169, 3072, 37143, 324, 330, 4462, 81, 770, 950, 330, 36, 34, 35, 36, 35, 35, 35, 38, 370, 324, 330, 1071, 81, 998, 950, 629, 30, 324, 330, 6228, 81, 998, 950, 629, 30, 324, 330, 1285, 6228, 81, 998, 950, 629, 30, 324, 330, 381, 81, 3248, 950, 225, 35, 42, 30, 291, 320, 284, 801, 301, 291, 330, 965, 950, 330, 525, 555, 1499, 32, 775, 579, 19505, 32, 508, 33, 11966, 33, 39, 34, 35, 42, 33, 92, 30525, 31, 36389, 31, 15741, 31, 5000, 32, 916, 370, 291, 330, 2585, 81, 19807, 950, 2933, 30, 284, 16752, 284, 665, 617, 4543, 81, 8281, 26, 784, 30, 1984, 711, 291, 41164, 30, 3099, 280, 630, 1114, 8281, 81, 1338, 26, 965, 27, 291, 2202, 81, 998, 280, 596, 81, 452, 81, 410, 26, 784, 1114, 1903, 81, 7920, 26, 324, 540, 25, 72, 3989, 3951, 4005, 662, 5213, 101, 28, 40817, 86, 11349, 6155, 7243, 41164, 30, 330, 1071, 2385, 370, 26250, 47, 2700, 490, 291, 2124, 81, 998, 280, 629, 81, 271, 81, 4108, 26, 784, 1114, 1903, 81, 7920, 26, 324, 540, 25, 314, 18278, 78, 785, 5545, 27691, 307, 1365, 78, 8150, 80, 48, 6603, 1563, 78, 86, 29, 7243, 41164, 30, 324, 330, 6228, 2385, 370, 26250, 47, 2700, 490, 291, 1214, 6228, 81, 998, 280, 629, 81, 271, 81, 4108, 26, 784, 1114 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 9, 9, 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, 6, 6, 9, 9, 9, 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, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 8, 8, 8, 11, 11, 11, 11, 9, 8, 8, 8, 11, 11, 11, 11, 11, 9, 8, 8, 8, 11, 11, 11, 11, 9, 10, 10, 8, 8, 8, 6, 6, 5, 6, 6, 9, 9, 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, 6, 6, 9, 9, 9, 9, 7, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 11, 10, 11, 11, 11, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 12, 12, 12, 10, 11, 12, 10, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 11, 10, 11, 11, 11, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 10, 12, 12, 12, 10, 11, 12, 10, 4, 4, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 11, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 3, 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, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 2, 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, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 9, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 13, 2, 2, 2, 1, 1, 1, 2, 15, 2, 2, 2, 1, 1, 1, 1, 2, 17, 2, 2, 2, 1, 1, 1, 2, 19, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 3, 3, 3, 3, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
[ 1070, 6109, 81, 2846, 1188, 1797, 1316, 203, 1070, 6109, 81, 2846, 1188, 4227, 619, 343, 4918, 81, 11893, 203, 1070, 6109, 81, 2846, 1188, 14735, 203, 1070, 6109, 81, 2846, 1188, 2287, 203, 1070, 6109, 81, 2846, 32, 1986, 1188, 5170, 203, 1070, 46226, 431, 95, 1188, 1910, 203, 1070, 8361, 32, 2393, 32, 10772, 81, 25661, 1188, 7349, 30998, 203, 1070, 9575, 32, 3378, 1188, 4004, 30, 2680, 30, 4273, 10364, 203, 1070, 9575, 32, 1040, 1188, 4227, 619, 2322, 88, 81, 11893, 203, 1070, 4125, 32, 1439, 1188, 4227, 619, 1695, 81, 11893, 203, 1070, 4125, 32, 1439, 32, 9211, 1188, 546, 10842, 2348, 13976, 203, 1070, 4125, 32, 1439, 32, 4338, 1188, 3398, 2554, 1761, 1074, 203, 1070, 4125, 32, 1439, 32, 34243, 1188, 3398, 2554, 7262, 203, 1070, 4125, 32, 1439, 32, 2304, 1188, 622, 81, 1473, 81, 271, 81, 731, 30, 622, 81, 496, 81, 2393, 203, 1070, 4125, 32, 1439, 32, 13253, 1188, 7462, 1250, 20625, 203, 1070, 4125, 32, 1439, 32, 25882, 1188, 308, 284, 3398, 2554, 13175, 2825, 30, 284, 3398, 2554, 13175, 2825, 1562, 14377, 3265, 30, 203, 27, 203, 1070, 4125, 32, 1439, 32, 11452, 1188, 38246, 3160, 63, 4062, 2023, 9574, 203, 1070, 4125, 32, 5459, 32, 34243, 1188, 4004, 7262, 203, 1070, 4125, 32, 3707, 32, 34243, 1188, 2680, 7262, 203, 1070, 4125, 32, 29198, 101, 32, 11753, 1188, 4273, 10364, 8161, 203, 1070, 4125, 32, 29198, 101, 32, 34243, 1188, 4273, 10364, 7262, 30, 4273, 10364, 5909, 13175, 7262, 203, 1070, 4125, 32, 29198, 101, 32, 11893, 1188, 2680, 1622, 14321, 5698, 733, 203, 823, 4273, 10364, 13976, 26, 1473, 711, 284, 31681, 81, 10122, 81, 965, 81, 4124, 626, 280, 330, 29198, 81, 314, 25, 284, 665, 622, 81, 29198, 26, 784, 711, 291, 1440, 280, 622, 81, 1473, 81, 271, 81, 731, 26, 324, 4273, 10364, 30, 324, 630, 32, 5321, 77, 784, 32, 29198, 81, 10122, 81, 965, 81, 4124, 626, 614, 324, 2503, 81, 426, 1057, 29198, 25, 291, 829, 291, 442, 1440, 203, 823, 4273, 10364, 720, 26, 3265, 2554, 1761, 1074, 30, 1797, 1316, 32, 720, 2554, 1074, 30, 546, 10842, 2348, 13976, 711, 284, 6501, 81, 4820, 280, 308, 291, 343, 4918, 81, 11893, 32, 1622, 20691, 1527, 11055, 30, 291, 1695, 81, 11893, 32, 1763, 3993, 5504, 30, 284, 829, 284, 2129, 81, 850, 81, 25661, 280, 428, 2852, 30998, 32, 6585, 780, 18032, 81, 4409, 79, 284, 2129, 81, 1821, 81, 25661, 280, 428, 2852, 30998, 32, 3293, 79, 284, 1542, 81, 823, 280, 4273, 10364, 284, 19628, 81, 823, 280, 7462, 1250, 20625, 284, 16614, 81, 823, 280, 4273, 10364, 7262, 284, 2202, 81, 3153, 280, 330, 29198, 101, 25, 284, 2202, 81, 426, 280, 330, 29198, 31, 668, 25, 284, 19404, 280, 2726, 426, 370, 829, 284, 665, 622, 81, 1536, 81, 431, 95, 81, 1217, 26, 784, 711, 291, 442, 1910, 14728, 314, 370, 330, 941, 370, 1665, 27, 284, 665, 622, 81, 37741, 26, 784, 711, 291, 442, 4273, 10364, 32, 1809, 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, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 10, 11, 9, 11, 10, 11, 11, 11, 11, 11, 11, 11, 11, 9, 8, 8, 10, 10, 9, 11, 11, 8, 8, 4, 4, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 7, 7, 7, 6, 7, 7, 7, 7, 5, 5, 5, 7, 7, 6, 7, 7, 7, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 5, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 6, 7, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 4, 4, 7, 7, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 9, 9, 7, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 7, 8, 7, 10, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 3, 3, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 5, 5, 0, 0, 5, 5, 0, 6, 6, 1, 2, 1, 4, 4, 4, 6, 6, 0, 0, 7, 7, 1, 2, 7, 7, 7, 7, 7, 7, 0, 0, 8, 8, 1, 2, 8, 8, 3, 3, 2, 2, 2, 0, 9, 9, 1, 2, 9, 9, 3, 3, 2, 2, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 0, 0, 0, 0, 0, 13, 13, 0, 0, 0, 0, 0, 14, 14, 1, 2, 1, 4, 14, 14, 0, 0, 0, 15, 15, 1, 2, 1, 4, 15, 15, 15, 15, 0, 0, 0, 15, 15, 15, 0, 0, 0, 0, 0, 0, 15, 15, 15, 0, 16, 16, 1, 2, 1, 4, 16, 16, 0, 0, 0, 0, 0, 0, 17, 17, 1, 2, 1, 4, 17, 17, 0, 0, 18, 18, 1, 2, 1, 4, 18, 18, 0, 0, 19, 19, 1, 2, 2, 1, 4, 19, 19, 0, 0, 0, 20, 20, 1, 2, 2, 1, 4, 20, 20, 0, 0, 20, 20, 0, 0, 0, 0, 0, 21, 21, 1, 2, 2, 1, 4, 21, 21, 0, 0, 0, 0, 0, 22, 22, 1, 1, 2, 1, 2, 22, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 0, 0, 5, 1, 2, 1, 1, 4, 4, 1, 0, 23, 23, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 3, 2, 2, 2, 2, 2, 5, 5, 5, 2, 23, 23, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 3, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 2, 4, 4, 9, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 1, 1, 2, 1, 1, 2, 1, 1, 4, 4, 10, 1, 1, 2, 1, 2, 10, 10, 0, 0, 0, 2, 1, 0, 0 ]
[ 1070, 831, 2327, 2050, 1188, 1224, 2327, 2050, 203, 465, 6436, 619, 2065, 203, 1070, 570, 4997, 32, 1040, 32, 20973, 1188, 345, 4260, 30, 6121, 5817, 203, 1070, 570, 4997, 32, 1040, 32, 2506, 81, 4903, 81, 265, 2548, 1188, 17656, 81, 4903, 81, 265, 2548, 203, 465, 36116, 203, 1070, 18414, 1188, 996, 789, 203, 823, 21819, 81, 402, 35, 26, 61, 2327, 2050, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2024, 81, 3534, 30, 624, 47, 2521, 30, 11263, 47, 35, 30, 831, 24760, 47, 2521, 30, 3104, 3804, 47, 35, 32, 34, 30, 225, 32189, 47, 2521, 30, 7808, 47, 2521, 711, 291, 630, 32, 6557, 280, 11263, 291, 630, 32, 1131, 81, 3534, 280, 225, 35, 291, 630, 32, 426, 280, 330, 3685, 81, 402, 35, 25, 291, 630, 32, 2024, 81, 3534, 280, 1688, 81, 3534, 291, 630, 32, 1322, 3804, 280, 3104, 3804, 291, 630, 32, 1516, 81, 2132, 280, 630, 32, 2024, 81, 3534, 28, 784, 32, 6557, 474, 225, 35, 474, 308, 784, 32, 2024, 81, 3534, 429, 225, 35, 27, 291, 415, 831, 24760, 438, 646, 1665, 44, 324, 630, 32, 1516, 81, 2132, 9372, 784, 32, 2024, 81, 3534, 291, 415, 7808, 438, 646, 1665, 44, 324, 1201, 7808, 32, 3229, 31417, 784, 32, 2024, 81, 3534, 31, 35, 21713, 324, 630, 32, 1516, 81, 2132, 9372, 784, 32, 2024, 81, 3534, 31, 35, 291, 630, 32, 6557, 280, 11263, 291, 415, 624, 438, 1665, 44, 324, 630, 32, 73, 280, 225, 34, 32, 39, 28, 2356, 32, 3855, 32, 39385, 26, 784, 32, 2024, 81, 3534, 30, 784, 32, 6557, 4165, 2356, 32, 8663, 26, 784, 32, 6557, 27, 291, 813, 44, 324, 1201, 624, 32, 3229, 31417, 784, 32, 2024, 81, 3534, 30, 784, 32, 6557, 27, 324, 630, 32, 73, 280, 624, 291, 415, 32189, 438, 1665, 44, 324, 630, 32, 21213, 280, 2065, 32, 5783, 26, 784, 32, 2024, 81, 3534, 31, 35, 27, 291, 415, 831, 24760, 438, 646, 1665, 44, 324, 1201, 831, 24760, 32, 3229, 31417, 784, 32, 2024, 81, 3534, 21713, 291, 630, 32, 43805, 280, 831, 24760, 291, 630, 32, 7843, 280, 7808, 291, 630, 32, 297, 81, 20030, 280, 2933, 291, 630, 32, 297, 81, 13548, 672, 280, 3177, 291, 630, 32, 35466, 81, 4332, 280, 3177, 291, 630, 1114, 470, 81, 2132, 26, 784, 1114, 371, 81, 2132, 1157, 284, 665, 617, 371, 81, 2132, 26, 784, 711, 291, 4356, 81, 668, 280, 428, 784, 32, 73, 32, 15478, 7662, 291, 415, 630, 32, 43805, 438, 646, 1665, 44, 324, 4356, 81, 668, 32, 1689, 26, 784, 32, 43805, 27, 291, 4356, 81, 668, 32, 1689, 26, 784, 32, 21213, 27, 291, 415, 630, 32, 7843, 438, 646, 1665, 44, 324, 4356, 81, 668, 32, 1689, 26, 784, 32, 7843, 27, 291, 4356, 81, 668, 32, 1689, 26, 784, 32, 1322, 3804, 27, 291, 442, 2065, 32, 90, 3034, 26, 753, 81, 668, 27, 284, 665, 617, 470, 81, 2132, 26, 784, 30, 106, 711, 291, 1201, 816, 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, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 5, 6, 4, 4, 6, 5, 6, 6, 6, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 10, 11, 11, 11, 9, 11, 10, 11, 8, 8, 9, 7, 7, 11, 10, 11, 11, 11, 9, 9, 10, 8, 4, 4, 5, 7, 6, 6, 6, 5, 5, 5, 9, 10, 10, 10, 8, 10, 9, 10, 10, 10, 4, 4, 5, 6, 6, 6, 5, 5, 5, 7, 9, 10, 8, 12, 11, 12, 12, 12, 10, 11, 9, 6, 6, 9, 10, 10, 10, 8, 11, 10, 11, 11, 11, 9, 10, 4, 4, 7, 8, 6, 6, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 8, 8, 11, 11, 11, 10, 14, 13, 14, 12, 13, 12, 14, 13, 14, 14, 14, 12, 14, 13, 14, 12, 12, 11, 12, 11, 13, 12, 13, 11, 5, 5, 6, 6, 6, 8, 10, 11, 9, 12, 11, 12, 12, 12, 10, 12, 11, 12, 10, 7, 7, 10, 11, 9, 9, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 8, 8, 10, 11, 10, 13, 12, 13, 13, 13, 11, 12, 10, 4, 4, 5, 7, 6, 6, 6, 5, 5, 5, 7, 10, 9, 10, 8, 11, 10, 11, 11, 11, 9, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 10, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 11, 10, 11, 9, 10, 9, 4, 4, 5, 7, 8, 6, 6, 6, 5, 5, 5, 10, 10, 9, 10, 9, 11, 10, 11, 9, 4, 4, 8, 8, 7, 8, 7, 9, 8, 9, 7, 4, 4, 5, 7, 8, 6, 6, 6, 5, 5, 5, 10, 10, 9, 10, 9, 11, 10, 11, 9, 4, 4, 8, 8, 7, 8, 7, 9, 8, 9, 9, 7, 4, 4, 5, 7, 8, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 5, 4, 3, 3, 5, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 3, 3, 0, 0, 0, 0, 0, 0, 4, 4, 0, 5, 5, 5, 5, 0, 0, 6, 6, 1, 1, 1, 2, 1, 1, 1, 2, 6, 6, 0, 1, 1, 1, 2, 3, 3, 3, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 0, 9, 2, 2, 2, 0, 11, 2, 2, 2, 2, 2, 2, 13, 2, 2, 2, 15, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 4, 4, 6, 0, 1, 1, 1, 6, 6, 6, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 7, 1, 1, 1, 7, 7, 7, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 3, 3, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 9, 1, 1, 9, 9, 9, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 3, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 9, 9, 4, 4, 4, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 3, 2, 2, 2, 2, 0, 2, 0, 0, 4, 4, 10, 1, 1, 10, 10, 10, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 4, 4, 11, 0, 1, 1, 1, 11, 11, 11, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 3, 0, 2, 1, 1, 1, 3, 3, 3, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 5, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 3, 2, 2, 2, 0, 0 ]
[ 505, 13411, 505, 280, 313, 1617, 33, 3483, 33, 69, 8407, 33, 3653, 33, 86, 954, 32, 978, 225, 39, 34, 36, 37, 225, 36, 34, 35, 34, 33, 34, 40, 33, 35, 38, 225, 36, 36, 44, 34, 39, 44, 38, 40, 309, 5486, 20, 203, 465, 2322, 203, 465, 358, 8407, 32, 1711, 203, 465, 358, 8407, 32, 1796, 203, 465, 358, 8407, 32, 14490, 203, 465, 358, 8407, 32, 13038, 32, 54, 203, 465, 358, 8407, 32, 3653, 203, 589, 438, 54, 26, 1855, 711, 284, 415, 646, 1914, 44, 291, 442, 225, 34, 284, 436, 309, 328, 1914, 44, 291, 415, 309, 32, 11250, 44, 324, 1447, 280, 2322, 32, 983, 32, 48271, 26, 466, 26, 101, 32, 11250, 77, 34, 5259, 77, 35, 79, 324, 415, 1447, 610, 5608, 86, 950, 400, 442, 225, 35, 284, 442, 225, 34, 203, 11383, 81, 1204, 280, 2149, 203, 11383, 81, 1356, 280, 2149, 203, 589, 4450, 26, 2121, 711, 284, 3649, 18548, 81, 1204, 284, 3649, 18548, 81, 1356, 284, 907, 81, 2067, 30, 7176, 81, 2067, 280, 358, 8407, 32, 3653, 32, 1297, 3273, 30282, 26, 2121, 27, 284, 475, 1711, 280, 358, 8407, 32, 1711, 32, 1711, 24542, 54, 8670, 370, 8493, 54, 8670, 2378, 683, 284, 907, 81, 2067, 32, 669, 81, 1141, 3949, 86, 370, 475, 1711, 27, 284, 7176, 81, 2067, 32, 669, 81, 1141, 3949, 86, 370, 475, 1711, 27, 284, 907, 81, 2067, 32, 669, 81, 26653, 3949, 86, 370, 358, 8407, 32, 14490, 32, 5972, 959, 13928, 27, 284, 7176, 81, 2067, 32, 669, 81, 26653, 3949, 86, 370, 358, 8407, 32, 14490, 32, 7432, 959, 13928, 27, 284, 16247, 280, 4533, 32, 22346, 4901, 86, 954, 370, 330, 10575, 954, 3490, 284, 4533, 710, 4423, 785, 280, 16247, 284, 4533, 710, 54, 8670, 785, 280, 8493, 4423, 5389, 54, 16177, 6880, 5389, 54, 1971, 6880, 5389, 54, 2897, 6880, 5389, 54, 6880, 429, 85, 429, 1028, 22, 9682, 398, 26803, 25, 284, 4533, 26033, 54, 16177, 6880, 785, 280, 330, 2945, 2283, 81, 7232, 26, 54, 16177, 9857, 30, 475, 4065, 30, 475, 521, 3746, 48150, 6578, 30, 1156, 2121, 7642, 559, 25530, 30, 21207, 30, 36793, 4370, 225, 398, 9905, 284, 4533, 26033, 54, 1971, 6880, 785, 280, 330, 2945, 2283, 81, 7232, 26, 54, 1971, 9857, 30, 475, 4530, 69, 30, 475, 1971, 28056, 30, 1156, 2121, 505, 4370, 225, 398, 9905, 284, 4533, 26033, 54, 2897, 6880, 785, 280, 330, 2945, 2283, 81, 7232, 26, 54, 2897, 9857, 30, 475, 2897, 30, 475, 2897, 28056, 30, 1156, 2121, 505, 4370, 398, 9905, 284, 4533, 26033, 54, 6880, 785, 280, 330, 2945, 2283, 81, 7232, 26, 54, 4694, 9857, 30, 475, 6880, 30, 475, 4694, 28056, 30, 1156, 2121, 505, 4370, 398, 9905, 284, 4533, 710, 54, 4065, 785, 280, 2107, 40343, 785, 284, 4533, 710, 54, 6880, 785, 280, 1605, 284, 4533, 710, 54, 4530, 69, 785, 280, 1605, 284, 4533, 710, 54, 2897, 785, 280, 1605, 284, 415, 16247, 44, 291, 343, 954, 81, 983, 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, 4, 4, 4, 4, 4, 4, 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, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 3, 3, 3, 5, 6, 2, 2, 3, 3, 3, 3, 3, 3, 5, 6, 7, 5, 5, 5, 8, 8, 12, 13, 11, 12, 11, 13, 13, 16, 15, 16, 14, 15, 14, 9, 10, 9, 6, 6, 7, 8, 8, 10, 10, 7, 7, 9, 10, 2, 2, 3, 4, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 2, 2, 3, 4, 4, 2, 2, 6, 6, 5, 5, 6, 6, 4, 4, 8, 7, 8, 6, 7, 7, 7, 6, 7, 6, 2, 2, 5, 4, 4, 8, 7, 8, 6, 7, 6, 8, 8, 8, 6, 8, 8, 8, 8, 2, 2, 6, 6, 5, 6, 6, 6, 5, 7, 7, 5, 6, 5, 2, 2, 6, 6, 5, 6, 6, 6, 5, 7, 7, 5, 6, 5, 2, 2, 6, 6, 5, 6, 6, 6, 5, 7, 7, 5, 8, 7, 8, 6, 7, 7, 7, 5, 2, 2, 6, 6, 5, 6, 6, 6, 5, 7, 7, 5, 8, 7, 8, 6, 7, 7, 7, 5, 2, 2, 4, 4, 6, 7, 6, 9, 9, 9, 7, 9, 9, 9, 2, 2, 5, 7, 7, 4, 4, 2, 2, 5, 7, 7, 7, 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, 2, 2, 5, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 7, 7, 7, 4, 4, 7, 7, 2, 2, 5, 7, 7, 7, 4, 4, 2, 2, 5, 7, 7, 7, 7, 4, 4, 2, 2, 5, 7, 7, 7, 4, 4, 2, 2, 3, 3, 3, 3, 7, 7, 7, 6 ]
[ 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, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 3, 3, 0, 1, 2, 0, 4, 4, 0, 1, 2, 0, 5, 5, 0, 1, 2, 1, 4, 0, 6, 6, 0, 1, 2, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 1, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 3, 3, 1, 1, 1, 1, 2, 1, 1, 0, 1, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, 2, 1, 2, 10, 10, 0, 1, 1, 4, 4, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 0, 4, 4, 0, 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, 2, 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, 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, 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, 4, 4, 0, 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, 4, 4, 0, 1, 1, 2, 0, 0, 1, 2, 4, 4, 0, 1, 1, 2, 0, 0, 4, 4, 0, 1, 1, 1, 2, 0, 0, 4, 4, 0, 1, 1, 2, 0, 0, 4, 4, 19, 19, 19, 19, 0, 0, 0, 0 ]
[ 465, 17735, 37, 203, 589, 622, 81, 2620, 81, 2602, 26, 496, 711, 203, 202, 3781, 280, 17735, 37, 32, 3517, 440, 8246, 32, 1199, 657, 203, 202, 85, 280, 4567, 32, 7017, 346, 291, 1779, 280, 1605, 203, 202, 979, 2698, 328, 281, 32, 4526, 463, 4620, 319, 3753, 8253, 2154, 4096, 280, 5335, 474, 1256, 474, 330, 866, 7831, 400, 1779, 32, 1689, 26, 643, 27, 291, 4567, 32, 2679, 346, 291, 442, 1779, 203, 589, 622, 81, 8246, 26, 496, 711, 291, 1779, 280, 622, 81, 2620, 81, 2602, 26, 496, 27, 291, 595, 280, 225, 34, 291, 1779, 36, 280, 1605, 291, 2218, 26, 91, 333, 2069, 26, 1433, 8531, 400, 1779, 36, 32, 1689, 26, 1433, 77, 91, 1674, 35, 1130, 400, 595, 9372, 35, 291, 442, 1779, 36, 203, 589, 3345, 81, 8246, 26, 2795, 81, 668, 711, 291, 415, 2069, 26, 2795, 81, 668, 27, 848, 225, 34, 44, 400, 4567, 280, 17735, 37, 32, 3517, 440, 8246, 32, 1199, 657, 400, 281, 280, 4567, 32, 7017, 346, 400, 436, 1623, 328, 2899, 81, 668, 44, 16501, 281, 32, 4526, 463, 6691, 3753, 8253, 4998, 2899, 14613, 474, 1623, 474, 330, 866, 683, 400, 4567, 32, 3375, 346, 400, 4567, 32, 2679, 346, 203, 589, 4233, 81, 8246, 26, 496, 711, 291, 4567, 280, 17735, 37, 32, 3517, 440, 8246, 32, 1199, 657, 291, 281, 280, 4567, 32, 7017, 346, 291, 281, 32, 4526, 463, 6691, 3753, 8253, 4998, 4096, 14613, 474, 1256, 474, 330, 866, 683, 291, 4567, 32, 3375, 346, 291, 4567, 32, 2679, 346, 12740, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 2, 2, 5, 4, 4, 6, 7, 6, 2, 2, 4, 4, 2, 2, 3, 3, 3, 3, 5, 6, 5, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 6, 6, 8, 8, 3, 3, 7, 8, 7, 8, 7, 2, 2, 5, 6, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 7, 6, 2, 2, 4, 4, 5, 2, 2, 5, 4, 4, 2, 2, 4, 6, 5, 5, 7, 8, 7, 3, 3, 8, 7, 8, 7, 10, 9, 10, 9, 9, 8, 4, 4, 6, 7, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 6, 7, 7, 7, 6, 4, 4, 5, 3, 3, 3, 6, 6, 9, 8, 9, 8, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 8, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 9, 10, 9, 13, 13, 13, 13, 13, 13, 11, 11, 10, 10, 12, 12, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 6, 2, 2, 5, 6, 5, 9, 9, 9, 9, 9, 9, 7, 7, 6, 6, 8, 8, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 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 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 4, 4, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 5, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 4, 4, 1, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 3, 3, 0, 2, 4, 4, 4, 1, 0, 3, 3, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 1, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 3, 3, 0, 2, 1, 3, 3, 0, 2, 1, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 1, 4, 4, 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 ]
[ 100, 2993, 4868, 322, 3536, 1519, 372, 6350, 32, 203, 7900, 26, 2501, 30, 1519, 47, 2521, 30, 9541, 47, 34, 30, 1447, 101, 47, 2521, 27, 284, 2744, 322, 3536, 1519, 372, 322, 1932, 2530, 432, 322, 2702, 2016, 544, 322, 284, 1519, 32, 203, 7900, 464, 26, 2501, 30, 1519, 47, 2521, 30, 9541, 47, 34, 30, 1447, 101, 47, 2521, 27, 284, 2744, 312, 1149, 432, 3536, 7842, 372, 1169, 8001, 432, 322, 2702, 2016, 544, 284, 322, 1519, 32, 203, 7900, 2518, 26, 2501, 30, 1519, 47, 2521, 30, 9541, 47, 34, 30, 1447, 101, 47, 2521, 27, 284, 2744, 312, 9750, 1510, 1098, 6761, 3536, 7842, 372, 1169, 8001, 432, 322, 284, 2702, 2016, 544, 322, 1519, 32, 203, 1083, 1244, 322, 13399, 4706, 2677, 438, 27883, 308, 302, 4487, 619, 30, 544, 203, 2839, 30, 322, 1995, 9651, 1202, 328, 322, 10880, 471, 1273, 312, 2818, 330, 983, 25, 1149, 203, 452, 3233, 1631, 526, 3191, 619, 4487, 32, 225, 2704, 4017, 30, 322, 13399, 2399, 4706, 203, 4502, 438, 9547, 619, 9136, 32, 203, 2797, 313, 10529, 20, 438, 861, 1615, 312, 8825, 432, 322, 2234, 284, 11304, 2620, 983, 2717, 333, 16317, 31, 2767, 31, 2310, 5103, 203, 297, 4717, 436, 2504, 2530, 32, 886, 27018, 1994, 438, 312, 1344, 1029, 3048, 203, 1028, 2154, 322, 2530, 1597, 2431, 32, 2616, 2280, 44, 284, 645, 13399, 1994, 225, 34, 284, 645, 677, 41557, 78, 27096, 78, 25378, 20945, 32, 8022, 203, 2993, 203, 81, 3515, 2506, 6772, 280, 1524, 284, 7914, 322, 3536, 1519, 432, 6350, 32, 284, 10484, 44, 291, 1510, 17633, 2184, 48, 37597, 17633, 2501, 31, 426, 48, 37597, 284, 11024, 44, 291, 429, 90, 30, 769, 4756, 647, 9194, 458, 3049, 461, 4323, 32, 291, 429, 72, 30, 769, 1648, 261, 9194, 322, 1503, 3099, 461, 4323, 32, 291, 429, 83, 30, 769, 464, 958, 9194, 319, 464, 28, 9215, 7842, 32, 291, 429, 104, 30, 769, 10529, 261, 9194, 963, 2624, 8001, 4528, 15282, 461, 715, 2519, 12398, 3980, 1464, 544, 16154, 32, 291, 429, 99, 30, 769, 22290, 262, 9077, 1459, 963, 8001, 32, 439, 32, 87, 4317, 745, 646, 1459, 963, 715, 12398, 3980, 1464, 32, 291, 429, 98, 333, 279, 491, 550, 2717, 769, 983, 18417, 279, 491, 550, 48, 715, 2244, 15529, 1519, 308, 668, 432, 14904, 27, 1631, 715, 526, 3191, 436, 20286, 32, 291, 429, 87, 333, 407, 101, 2717, 769, 407, 101, 18417, 407, 101, 48, 715, 23759, 312, 1149, 432, 11581, 372, 6295, 4174, 715, 432, 322, 28270, 1149, 308, 920, 27941, 43683, 1149, 30, 4017, 715, 1755, 547, 284, 7914, 322, 3536, 1519, 372, 322, 3460, 688, 2268, 526, 1420, 436, 2504, 2702, 284, 2016, 636, 30, 415, 1346, 32, 20547, 30, 2124, 6987, 1182, 1510, 30, 3217, 322, 1451, 432, 284, 3803, 4209, 30, 556, 429, 35, 1412, 1289, 333, 2501, 31, 426, 48, 1597, 2702, 32, 284, 489, 1928, 3980, 1464, 2305, 27431, 30, 2979, 31, 16343, 2276, 461, 308, 267, 1683, 28, 106, 27, 284, 2276, 2876 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 638, 1232, 15245, 510, 690, 1188, 10473, 3930, 2659, 885, 590, 690, 203, 1070, 638, 3205, 1293, 8676, 1188, 41917, 29741, 203, 1070, 638, 43619, 427, 6219, 1188, 358, 60, 1296, 16218, 9745, 203, 1070, 638, 92, 1970, 566, 106, 1188, 358, 60, 1296, 1222, 9745, 203, 1070, 638, 1232, 2079, 95, 1188, 358, 60, 1296, 81, 5618, 81, 14483, 203, 1070, 638, 20784, 1188, 1312, 12496, 1078, 30, 13665, 1078, 203, 823, 358, 60, 1296, 590, 690, 26, 6221, 3930, 2659, 885, 590, 690, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 44797, 1296, 590, 690, 30, 630, 14585, 1664, 16369, 291, 630, 32, 3205, 81, 1745, 280, 41917, 29741, 26, 44797, 1296, 81, 5618, 81, 14483, 27, 291, 630, 32, 13081, 81, 23125, 280, 358, 60, 1296, 16218, 9745, 346, 291, 630, 32, 1819, 81, 23125, 280, 358, 60, 1296, 1222, 9745, 346, 291, 630, 32, 4534, 346, 284, 665, 5657, 26, 784, 711, 291, 2599, 26, 44797, 1296, 590, 690, 30, 630, 547, 4534, 346, 291, 630, 32, 1819, 81, 23125, 32, 4534, 346, 284, 477, 2433, 284, 665, 8485, 81, 426, 26, 784, 711, 291, 442, 630, 32, 1819, 81, 23125, 32, 15245, 81, 426, 284, 477, 2433, 284, 665, 2898, 26, 784, 711, 291, 442, 313, 60, 30525, 20, 284, 665, 6985, 26, 784, 30, 3432, 81, 466, 711, 291, 436, 595, 328, 2155, 26, 1657, 26, 2263, 81, 466, 8531, 324, 10613, 81, 1293, 280, 630, 32, 3205, 81, 1745, 32, 1978, 81, 1293, 26, 2263, 81, 466, 77, 91, 1130, 324, 415, 10613, 81, 1293, 610, 13665, 1078, 32, 2930, 44, 400, 630, 32, 4073, 32, 2811, 15339, 101, 904, 101, 534, 690, 8977, 1048, 821, 3432, 904, 101, 370, 6619, 630, 32, 15245, 81, 426, 30, 630, 32, 4189, 30, 595, 27, 400, 630, 1114, 1293, 280, 1312, 12496, 1078, 32, 3908, 81, 1023, 400, 1626, 324, 4348, 10613, 81, 1293, 610, 13665, 1078, 32, 10995, 81, 1023, 44, 400, 630, 1114, 1293, 280, 1312, 12496, 1078, 32, 13195, 81, 780, 400, 1626, 324, 4348, 10613, 81, 1293, 610, 13665, 1078, 32, 7383, 44, 400, 1351, 81, 1657, 280, 630, 32, 3205, 81, 1745, 32, 371, 81, 1700, 81, 1594, 1657, 346, 400, 415, 595, 610, 225, 34, 44, 528, 630, 1114, 2135, 81, 1594, 77, 35, 79, 280, 3432, 81, 466, 77, 34, 79, 528, 630, 32, 1819, 81, 23125, 32, 6528, 26, 784, 1114, 2135, 81, 1594, 77, 36, 429, 1351, 81, 1657, 23751, 16329, 1351, 81, 1657, 27, 528, 630, 32, 13081, 81, 23125, 32, 6528, 26, 784, 1114, 2135, 81, 1594, 30, 1351, 81, 1657, 27, 400, 813, 44, 528, 630, 32, 1819, 81, 23125, 32, 6528, 26, 2263, 81, 466, 77, 91, 474, 225, 35, 429, 1351, 81, 1657, 44, 91, 474, 225, 37, 7567, 429, 1351, 81, 1657, 614, 1351, 81, 1657, 27, 528, 630, 32, 13081, 81, 23125, 32, 6528, 26, 2263, 81, 466, 77, 91, 429, 225, 35, 44, 91, 474, 225, 35, 614, 5593, 1351, 81, 1657, 27, 291, 630, 1114 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 9, 9, 9, 7, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 8, 8, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 5, 5, 7, 9, 9, 10, 10, 10, 9, 5, 5, 9, 9, 8, 8, 11, 12, 12, 12, 10, 11, 11, 11, 10, 12, 12, 12, 11, 12, 11, 6, 6, 7, 9, 9, 8, 8, 10, 9, 10, 7, 7, 7, 12, 13, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 13, 13, 13, 11, 11, 12, 13, 11, 11, 11, 8, 8, 11, 12, 10, 10, 12, 12, 11, 12, 12, 12, 8, 8, 7, 7, 8, 10, 10, 9, 9, 11, 10, 11, 11, 11, 8, 8, 8, 12, 13, 11, 11, 13, 13, 12, 13, 13, 13, 9, 9, 7, 7, 8, 10, 10, 9, 9, 11, 10, 11, 8, 8, 8, 12, 12, 11, 11, 14, 15, 15, 15, 13, 14, 14, 14, 14, 14, 14, 13, 9, 9, 10, 11, 11, 12, 10, 10, 10, 15, 16, 16, 16, 14, 15, 14, 13, 13, 15, 15, 14, 15, 14, 11, 11, 15, 16, 16, 16, 14, 15, 14, 17, 16, 17, 17, 17, 15, 18, 17, 17, 18, 18, 16, 14, 14, 15, 15, 14, 11, 11, 15, 16, 16, 16, 14, 15, 14, 16, 15, 16, 16, 16, 14, 14, 15, 15, 14, 10, 10, 11, 11, 11, 16, 17, 17, 17, 15, 16, 15, 17, 17, 17, 16, 20, 19, 19, 20, 18, 18, 19, 19, 17, 20, 19, 19, 20, 18, 18, 18, 19, 19, 16, 15, 16, 16, 15, 12, 12, 16, 17, 17, 17, 15, 16, 15, 17, 17, 17, 16, 19, 18, 18, 19, 17, 19, 18, 18, 19, 16, 15, 15, 16, 16, 15, 4, 4, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 4, 4, 1, 3, 3, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 4, 4, 4, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 5, 5, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 1, 1, 1, 3, 3, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 1, 1, 4, 0, 0, 1, 1, 0, 2, 2, 2, 2, 4, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 1, 1, 5, 0, 0, 1, 1, 0, 2, 2, 5, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 3, 3, 1, 3, 3, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 4, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 3, 3, 1, 4, 4, 0 ]
[ 465, 25630, 203, 1070, 40946, 1188, 40946, 619, 617, 203, 1070, 312, 277, 32, 8463, 32, 12035, 1188, 8921, 30, 8250, 81, 4699, 81, 1253, 30, 337, 4156, 30, 3049, 203, 465, 312, 277, 203, 1070, 312, 277, 32, 605, 32, 8717, 1188, 594, 18861, 81, 8717, 203, 465, 6436, 619, 2065, 203, 465, 9612, 1269, 203, 9281, 81, 8717, 280, 2726, 14863, 370, 330, 31257, 370, 330, 8990, 370, 330, 4023, 370, 330, 37663, 370, 330, 53, 14484, 370, 400, 330, 63, 27302, 370, 330, 12849, 370, 330, 11075, 370, 330, 39557, 370, 330, 72, 716, 730, 370, 330, 52, 13669, 370, 400, 330, 6646, 107, 683, 203, 823, 5447, 1669, 26, 22589, 32, 1669, 711, 284, 313, 51, 3223, 436, 25233, 2624, 372, 1963, 322, 27898, 3107, 284, 665, 1156, 1664, 3207, 784, 30, 17393, 711, 291, 25630, 32, 1669, 3667, 1664, 3207, 784, 27, 291, 630, 32, 8463, 280, 17393, 291, 630, 32, 748, 494, 402, 280, 17393, 32, 748, 494, 402, 291, 630, 32, 7975, 81, 1489, 605, 280, 1665, 291, 630, 32, 470, 81, 1311, 41648, 10672, 2131, 291, 354, 1501, 280, 25630, 32, 72, 1705, 346, 291, 630, 32, 669, 26, 104, 1501, 27, 291, 354, 1501, 32, 2245, 346, 291, 630, 32, 16565, 444, 280, 25630, 32, 1599, 26, 36, 30, 36, 27, 291, 8921, 26, 104, 1501, 30, 630, 32, 16565, 444, 27, 291, 630, 32, 1959, 1501, 280, 25630, 32, 72, 1705, 346, 291, 630, 32, 1959, 1501, 32, 2245, 346, 291, 630, 32, 16565, 444, 32, 9959, 26, 784, 32, 1959, 1501, 30, 225, 34, 30, 225, 35, 30, 225, 34, 30, 225, 35, 27, 291, 630, 32, 3804, 1501, 280, 25630, 32, 72, 1705, 346, 291, 630, 32, 3804, 1501, 32, 2245, 346, 291, 630, 32, 16565, 444, 32, 9959, 26, 784, 32, 3804, 1501, 30, 225, 34, 30, 225, 35, 30, 225, 35, 30, 225, 36, 27, 291, 630, 32, 1489, 1501, 280, 25630, 32, 2136, 346, 291, 630, 32, 1489, 1501, 32, 2245, 346, 291, 630, 32, 16565, 444, 32, 9959, 26, 784, 32, 1489, 1501, 30, 225, 35, 30, 225, 36, 30, 225, 34, 30, 225, 36, 30, 25630, 32, 42833, 27, 291, 16372, 280, 25630, 32, 2168, 41648, 21052, 2624, 322, 27898, 884, 38644, 1924, 490, 291, 8921, 26, 784, 32, 1959, 1501, 30, 428, 10690, 1130, 291, 630, 32, 8048, 81, 92, 18861, 280, 25630, 32, 22381, 26, 2521, 30, 30121, 1083, 19090, 1451, 30, 1244, 313, 92, 18861, 20, 9612, 2847, 291, 630, 32, 8048, 81, 269, 1347, 280, 25630, 32, 22381, 26, 784, 32, 8048, 81, 92, 18861, 30, 10631, 30121, 1083, 19090, 1451, 30, 1256, 3191, 2847, 291, 630, 32, 8048, 81, 2142, 280, 25630, 32, 22381, 26, 784, 32, 8048, 81, 92, 18861, 30, 30121, 1083, 2604, 2847, 291, 630, 32, 8048, 81, 5538, 280, 25630, 32, 22381, 26, 784, 32, 8048, 81, 92, 18861, 30, 30121, 1083, 7650, 2847, 291, 630, 32, 8048, 81, 14934, 280, 25630, 32, 22381, 26, 784, 32, 8048, 81, 92, 18861, 30, 30121, 1083, 15642, 2847 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 11, 11, 4, 4, 7, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 7, 4, 4, 8, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 8, 9, 8, 9, 8, 4, 4, 7, 8, 8, 7, 7, 8, 9, 9, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 8, 4, 4, 8, 9, 9, 7, 8, 7, 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, 6, 6, 8, 9, 9, 8, 4, 4, 8, 9, 9, 7, 8, 7, 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, 6, 6, 8, 9, 8, 4, 4, 8, 9, 9, 7, 8, 7, 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, 7, 8, 9, 7, 4, 4, 6, 6, 8, 9, 8, 12, 12, 12, 12, 12, 12, 12, 10, 4, 4, 7, 9, 8, 9, 9, 7, 7, 9, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 9, 8, 9, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 10, 8, 8, 8, 12, 12, 12, 12, 12, 12, 12, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 10, 8, 8, 12, 12, 12, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 10, 8, 8, 12, 12, 12, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 10, 8, 8, 12, 12, 12 ]
[ 0, 0, 0, 1, 1, 1, 1, 3, 3, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 5, 5, 1, 1, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 8, 8, 1, 2, 0, 1, 2, 2, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 1, 3, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 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, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 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, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 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, 1, 11, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 1, 2, 2, 1, 1, 1, 3, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 10020, 203, 465, 46032, 203, 465, 2322, 203, 465, 5237, 203, 465, 11171, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 5736, 203, 1070, 14785, 32, 2958, 32, 1040, 1188, 5239, 81, 18697, 203, 6880, 280, 5736, 32, 6880, 203, 4545, 32, 16583, 81, 800, 26, 284, 330, 21111, 81, 491, 103, 81, 858, 81, 1647, 81, 9535, 370, 1665, 30, 284, 330, 1318, 4865, 31, 1621, 6491, 1519, 372, 322, 1256, 31, 15813, 894, 32, 1670, 894, 438, 328, 2432, 330, 284, 330, 5660, 619, 23284, 803, 619, 438, 4942, 30, 1615, 313, 858, 32, 978, 20, 2268, 526, 4939, 858, 2296, 683, 203, 4545, 32, 16583, 81, 800, 463, 858, 81, 1515, 81, 1439, 370, 528, 2322, 32, 12757, 32, 371, 463, 3765, 81, 1413, 19278, 54, 81, 10843, 69, 81, 3197, 1425, 528, 330, 57, 3746, 1519, 372, 3051, 3362, 436, 14016, 894, 2276, 11834, 203, 4545, 32, 16583, 81, 800, 26, 284, 330, 26256, 81, 6426, 81, 2388, 370, 330, 13223, 33, 2958, 370, 284, 330, 20700, 432, 312, 323, 18083, 16765, 13672, 322, 4262, 7976, 1188, 1519, 11834, 203, 22453, 81, 6880, 280, 2107, 491, 103, 370, 330, 5634, 370, 330, 2250, 370, 330, 1160, 81, 1515, 785, 203, 589, 8762, 81, 1234, 81, 4545, 2262, 334, 436, 296, 328, 38505, 81, 6880, 44, 284, 1596, 44, 397, 5736, 32, 16583, 81, 800, 26, 88, 30, 1665, 30, 330, 4555, 3417, 810, 894, 5034, 683, 284, 2940, 5736, 32, 18017, 5260, 924, 44, 397, 3097, 203, 589, 739, 81, 3855, 81, 858, 81, 1515, 2262, 334, 1519, 280, 2322, 32, 983, 32, 2524, 26, 6880, 32, 858, 81, 1515, 81, 1439, 30, 11171, 32, 6572, 38, 922, 6949, 27, 334, 32555, 32, 470, 81, 1536, 463, 1160, 81, 1515, 370, 1519, 27, 203, 589, 9169, 81, 2544, 81, 2958, 81, 983, 26, 858, 81, 13425, 711, 334, 6122, 81, 983, 280, 894, 81, 13425, 32, 100, 2998, 26, 6880, 32, 26256, 81, 6426, 81, 2388, 30, 225, 35, 27, 334, 415, 2069, 26, 2998, 81, 983, 27, 333, 225, 36, 44, 284, 3636, 10091, 463, 974, 983, 5461, 101, 20, 1957, 646, 4799, 5867, 3051, 5461, 101, 14891, 904, 3486, 308, 858, 81, 13425, 30, 32555, 32, 26256, 81, 6426, 81, 2388, 490, 334, 1519, 280, 32555, 32, 26256, 81, 6426, 81, 2388, 474, 6122, 81, 983, 77, 35, 79, 334, 1519, 280, 1519, 32, 100, 2998, 19468, 225, 35, 5594, 34, 79, 334, 442, 1519, 32, 3227, 19468, 41723, 203, 589, 1188, 81, 496, 81, 1647, 2262, 334, 442, 46032, 32, 465, 81, 1647, 26, 6880, 32, 21111, 81, 491, 103, 81, 858, 81, 1647, 81, 9535, 30, 768, 9169, 81, 2544, 81, 2958, 81, 983, 26, 3731, 32, 6118, 77, 34, 5259, 203, 589, 617, 297, 81, 858, 81, 823, 26, 2067, 711, 334, 442, 308, 4213, 81, 18697, 32, 297, 823, 26, 2067, 27, 616, 461, 330, 7233 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 3, 4, 0, 4, 3, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 3, 3, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 3, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 4, 4, 3, 3, 3, 5, 5, 5, 9, 10, 10, 10, 9, 10, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 5, 5, 6, 7, 8, 8, 8, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 8, 6, 7, 6, 8, 7, 8, 8, 8, 8, 8, 6, 6, 9, 10, 10, 9, 8, 6, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 7, 7, 6, 7, 7, 6, 8, 7, 8, 8, 8, 8, 8, 6, 6, 7, 6, 2, 2, 3, 6, 7, 7, 7, 6, 4, 4, 5, 3, 3, 3, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 9, 9, 10, 11, 11, 11, 11, 11, 9, 2, 2, 4, 4, 6, 7, 7, 7, 7, 7, 5, 5, 7, 7, 6, 7, 6, 2, 2, 4, 4, 7, 8, 8, 7, 7, 8, 7, 6, 5, 2, 2, 3, 5, 6, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 5, 6, 6, 6, 5, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 10, 9, 10, 8, 9, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 8, 8, 8, 7, 8, 8, 7, 8, 7, 5, 5, 5, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 15, 15, 1, 1, 1, 1, 2, 15, 15, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 3, 1, 2, 2, 2, 3, 3, 3, 0, 16, 16, 1, 1, 1, 1, 1, 1, 2, 16, 16, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 17, 17, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 17, 17, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 3, 1, 2, 2, 4, 4, 4, 0, 2, 1, 1, 0, 18, 18, 1, 1, 1, 1, 2, 18, 18, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 19, 19, 1, 1, 1, 1, 1, 2, 1, 2, 19, 19, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1 ]
[ 9592, 203, 17293, 2297, 203, 22141, 203, 497, 1503, 11043, 403, 225, 35, 32, 35, 32, 34, 203, 1922, 600, 1980, 432, 499, 823, 27214, 93, 29966, 32, 1131, 32, 31242, 32, 17293, 1801, 12386, 372, 322, 203, 823, 30, 461, 5111, 1629, 5036, 372, 3627, 517, 4654, 17211, 44, 284, 429, 506, 40, 44, 4654, 322, 2401, 3627, 328, 312, 5258, 284, 429, 506, 41, 44, 1491, 322, 6615, 23113, 284, 429, 506, 42, 44, 3627, 1509, 5216, 203, 2324, 203, 6490, 203, 497, 523, 10407, 110, 7084, 403, 499, 2437, 27214, 93, 29966, 32, 1131, 32, 31242, 32, 17293, 32, 4133, 81, 10407, 82, 203, 497, 523, 3959, 81, 3965, 110, 7084, 403, 284, 499, 2437, 27214, 93, 29966, 32, 1131, 32, 31242, 32, 17293, 32, 4133, 81, 3959, 81, 3965, 82, 203, 44, 3675, 44, 284, 529, 10407, 6083, 596, 30, 10071, 372, 523, 10407, 110, 786, 32, 291, 18197, 372, 3627, 645, 322, 21108, 1692, 284, 529, 3959, 81, 3965, 6083, 596, 30, 10071, 372, 523, 3959, 81, 3965, 110, 786, 32, 291, 18794, 436, 21108, 1692, 6274, 32, 12781, 372, 2761, 1510, 6274, 1098, 9250, 291, 328, 322, 11152, 21108, 1692, 1412, 28617, 318, 32, 284, 529, 3607, 6083, 596, 30, 10071, 372, 330, 31242, 32, 93, 4788, 25, 291, 3270, 432, 322, 803, 372, 3627, 517, 4654, 623, 203, 6772, 203, 6736, 203, 1562, 4302, 2297, 6886, 30, 4322, 2318, 322, 499, 1803, 27214, 93, 29966, 32, 3477, 82, 4333, 32, 203, 9592, 203, 505, 464, 505, 280, 2726, 1366, 370, 330, 4048, 683, 203, 1070, 831, 29966, 32, 4073, 1188, 7139, 203, 1070, 35094, 1188, 7360, 203, 589, 28617, 26, 31242, 30, 319, 1132, 711, 284, 415, 39190, 32, 1066, 44, 291, 442, 284, 813, 44, 291, 39190, 32, 1066, 280, 2933, 203, 589, 544, 81, 31242, 81, 678, 26, 31242, 30, 3223, 30, 1202, 30, 319, 94, 1132, 711, 284, 415, 1202, 610, 225, 36, 42, 43, 44, 16189, 415, 39190, 32, 1066, 44, 324, 7139, 32, 731, 463, 17293, 44, 16806, 1477, 23113, 2218, 19788, 11834, 324, 442, 291, 39190, 32, 4133, 280, 646, 39190, 32, 4133, 284, 4348, 1202, 610, 225, 36, 42, 42, 44, 16189, 415, 39190, 32, 4133, 44, 324, 7139, 32, 731, 463, 17293, 44, 16806, 1477, 19788, 2218, 23113, 11834, 324, 442, 291, 39190, 32, 1066, 280, 646, 39190, 32, 1066, 284, 4348, 1202, 610, 225, 36, 42, 41, 44, 16189, 415, 39190, 32, 1066, 44, 324, 39190, 32, 40741, 26, 1066, 47, 27953, 27, 291, 813, 44, 324, 39190, 32, 2539, 26, 1066, 47, 27953, 27, 324, 39190, 32, 1066, 280, 2933, 203, 589, 1477, 26, 4463, 30, 3692, 711, 284, 5036, 280, 2149, 284, 786, 280, 3692, 32, 1163, 32, 371, 463, 10407, 370, 1665, 27, 284, 415, 786, 438, 646, 1665, 44, 291, 5036, 710, 4133, 81, 10407, 785, 280, 786, 32, 2998, 16487, 683, 284, 786, 280, 3692, 32, 1163, 32, 371, 463, 3959, 81, 3965, 370, 1665, 27, 284, 415, 786, 438, 646, 1665, 44, 291, 5036, 710, 4133, 81, 3959, 81, 3965 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 2, 4, 2, 1, 1, 3, 4, 5, 3, 3, 3, 3, 3, 4, 4, 4, 8, 9, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 4, 4, 2, 1, 1, 3, 4, 4, 5, 5, 5, 3, 3, 3, 5, 6, 7, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 4, 4, 7, 8, 6, 6, 7, 8, 9, 3, 3, 4, 5, 5, 6, 6, 6, 4, 4, 4, 6, 7, 8, 6, 6, 6, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 7, 7, 5, 5, 8, 9, 7, 7, 8, 9, 10, 3, 3, 4, 5, 5, 6, 6, 6, 4, 4, 4, 6, 7, 8, 6, 6, 6, 10, 11, 10, 12, 11, 12, 10, 6, 6, 7, 7, 7, 11, 12, 11, 13, 12, 13, 11, 8, 8, 11, 12, 10, 10, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 4, 4, 2, 2, 4, 4, 7, 8, 6, 7, 6, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 3, 3, 3, 7, 9, 9, 9, 9, 6, 6, 8, 9, 8, 10, 2, 2, 4, 4, 7, 8, 6, 7, 6, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 3, 3, 3, 7, 9, 9, 9, 9, 9 ]
[ 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, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 2, 1, 2, 2, 1, 2, 4, 4, 0, 1, 2, 0, 0, 0, 0, 0, 4, 4, 4, 0, 2, 0, 0, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 5, 5, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 2, 0, 0, 2, 1, 2, 0, 0, 4, 1, 1, 2, 2, 2, 4, 4, 4, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 2, 0, 0, 2, 1, 2, 0, 0, 5, 1, 1, 2, 2, 2, 5, 5, 5, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 4, 4, 4, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 6, 6, 2, 1, 2, 2, 2, 6, 6, 0, 0, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 1, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 1 ]
[ 465, 5237, 203, 465, 1417, 203, 465, 1671, 203, 325, 5237, 32, 1648, 2377, 330, 37, 950, 284, 1695, 800, 280, 596, 284, 35198, 280, 2155, 284, 1188, 1933, 1582, 619, 1933, 81, 1582, 284, 1946, 280, 629, 203, 1824, 44, 284, 645, 31074, 1188, 19818, 639, 619, 8529, 284, 1188, 1933, 81, 1582, 203, 465, 6436, 619, 2065, 203, 1070, 3619, 10201, 1188, 4558, 203, 1070, 3619, 10201, 32, 2602, 32, 2516, 1188, 2680, 12421, 620, 30, 10791, 1176, 30, 10791, 620, 30, 2629, 620, 30, 6934, 620, 30, 766, 284, 4401, 620, 30, 8043, 620, 30, 5069, 620, 203, 505, 464, 505, 280, 2107, 2863, 370, 330, 20738, 2863, 370, 330, 19763, 2863, 370, 330, 27841, 370, 2607, 330, 4161, 370, 330, 20738, 4161, 370, 330, 19763, 4161, 370, 330, 2982, 16950, 785, 203, 325, 5237, 32, 1648, 81, 1338, 2867, 36, 79, 610, 308, 36, 30, 225, 41, 711, 284, 665, 8117, 81, 24088, 81, 955, 26, 282, 711, 291, 442, 1417, 32, 955, 30, 308, 282, 32, 681, 687, 30, 2099, 32, 41243, 1157, 284, 1933, 81, 1582, 32, 24088, 26, 955, 32, 955, 30, 8117, 81, 24088, 81, 955, 27, 203, 1270, 44, 284, 1188, 18414, 32, 15378, 284, 617, 8791, 81, 36568, 280, 2933, 203, 7343, 44, 284, 617, 8791, 81, 36568, 280, 3177, 203, 589, 617, 5954, 81, 452, 81, 2402, 26, 94, 711, 284, 415, 6937, 26, 94, 30, 4107, 711, 291, 442, 456, 284, 4348, 827, 26, 94, 27, 328, 308, 955, 32, 955, 30, 2065, 32, 955, 30, 2065, 32, 16771, 30, 1149, 30, 8825, 30, 35198, 711, 291, 442, 30843, 2863, 26, 94, 27, 284, 4348, 617, 8791, 81, 36568, 461, 18414, 32, 15378, 32, 297, 15378, 26, 94, 711, 291, 1201, 456, 32, 3229, 77, 35, 79, 610, 225, 35, 30, 313, 7700, 2623, 4026, 20, 291, 281, 545, 280, 456, 32, 12467, 545, 346, 291, 415, 646, 281, 545, 32, 2040, 81, 11939, 81, 7711, 44, 324, 281, 545, 32, 3323, 81, 7711, 346, 291, 442, 35797, 2863, 26, 94, 32, 3229, 77, 34, 614, 281, 545, 32, 7711, 30, 281, 545, 32, 605, 27, 284, 813, 44, 291, 3636, 12678, 440, 11394, 4483, 827, 904, 101, 1991, 4107, 20, 904, 827, 26, 94, 490, 203, 589, 617, 2402, 81, 891, 26, 104, 711, 284, 415, 6937, 26, 104, 30, 4107, 711, 291, 442, 2069, 26, 104, 27, 284, 4348, 827, 26, 104, 27, 328, 308, 955, 32, 955, 30, 1149, 30, 8825, 30, 35198, 711, 291, 442, 2069, 26, 104, 27, 284, 4348, 827, 26, 104, 27, 610, 2065, 32, 16771, 44, 291, 415, 354, 32, 29704, 610, 225, 35, 556, 308, 104, 32, 29704, 610, 225, 36, 461, 354, 32, 3229, 77, 35, 79, 610, 225, 35, 711, 324, 442, 2069, 26, 104, 27, 291, 813, 44, 324, 3636, 10091, 440, 11394, 17562, 600, 34593, 432, 6024, 904, 101, 619, 312, 4026, 20, 904, 596, 26, 104, 32, 3229, 490, 284, 4348, 617, 8791, 81, 36568, 461, 18414, 32, 15378, 32, 297, 15378, 26, 104, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 4, 2, 2, 4, 4, 1, 1, 5, 4, 4, 2, 2, 4, 4, 2, 2, 3, 6, 4, 4, 5, 5, 2, 2, 4, 4, 1, 2, 2, 2, 2, 4, 4, 4, 7, 5, 5, 3, 3, 4, 6, 6, 0, 1, 1, 2, 2, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 2, 1, 3, 1, 1, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 0, 1, 1, 4, 5, 5, 5, 3, 5, 3, 2, 2, 4, 3, 3, 4, 3, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 9, 8, 9, 9, 7, 7, 9, 10, 9, 2, 2, 6, 6, 5, 6, 5, 7, 6, 7, 5, 5, 6, 6, 6, 6, 5, 0, 1, 1, 1, 1, 3, 4, 5, 2, 2, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 6, 6, 6, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 5, 3, 3, 5, 3, 3, 4, 7, 8, 7, 5, 5, 8, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 8, 8, 9, 8, 3, 3, 4, 6, 6, 6, 5, 5, 8, 9, 7, 8, 8, 7, 8, 7, 4, 4, 6, 9, 10, 8, 9, 8, 7, 7, 8, 6, 6, 8, 8, 8, 8, 5, 5, 8, 7, 7, 9, 10, 10, 9, 5, 5, 6, 7, 9, 8, 9, 9, 9, 9, 9, 6, 6, 6, 11, 10, 11, 11, 11, 10, 5, 5, 6, 8, 8, 11, 10, 11, 9, 10, 9, 8, 10, 9, 10, 8, 8, 10, 9, 10, 8, 3, 3, 4, 4, 4, 6, 8, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 12, 11, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 5, 3, 3, 5, 7, 8, 7, 3, 3, 4, 7, 8, 7, 5, 5, 8, 7, 8, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 8, 9, 8, 3, 3, 4, 7, 8, 7, 5, 5, 6, 7, 4, 4, 4, 6, 9, 10, 8, 8, 9, 7, 7, 12, 11, 12, 10, 10, 11, 9, 9, 12, 13, 11, 12, 11, 10, 10, 11, 8, 6, 6, 8, 10, 11, 10, 6, 6, 7, 7, 7, 9, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 16, 15, 16, 14, 3, 3, 4, 6, 6, 6, 5, 5, 8, 9, 7, 8, 8, 7, 8, 7, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 2, 0, 1, 1, 2, 2, 3, 3, 0, 0, 3, 4, 4, 4, 4, 0, 0, 0, 0, 3, 3, 2, 2, 1, 0, 0, 0, 4, 4, 1, 1, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 13, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 8, 8, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 3, 2, 8, 8, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 3, 3, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 3, 3, 3, 1, 0, 9, 9, 9, 9, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 9, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 10, 10, 1, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 0, 0, 5, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 5, 5, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 1, 3, 3, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 3, 3, 3, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 3, 2, 1, 1, 0, 5, 2, 1, 0, 0, 6, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 4, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 1, 1, 1, 0, 0, 5, 1, 1, 1, 1, 1, 2, 2, 5, 5, 5, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 6, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 6 ]
[ 465, 45977, 203, 465, 5741, 203, 1070, 10058, 31814, 23304, 1188, 35874, 203, 465, 2322, 203, 465, 5601, 203, 465, 5296, 32, 1163, 619, 1359, 203, 1070, 5296, 1188, 1123, 203, 1070, 5296, 32, 9271, 1188, 2908, 81, 2387, 30, 2908, 81, 10546, 203, 465, 12460, 203, 1070, 594, 17321, 36, 32, 38150, 1188, 27234, 4888, 30, 37438, 4888, 30, 28757, 4888, 203, 1070, 594, 17321, 36, 32, 11452, 1188, 10838, 5965, 203, 1070, 5296, 32, 1357, 81, 4531, 1188, 1015, 974, 2780, 619, 617, 669, 974, 2780, 203, 1070, 5296, 32, 1357, 81, 4531, 1188, 1015, 974, 2780, 1215, 619, 617, 669, 974, 2780, 1215, 203, 2620, 81, 3481, 81, 1170, 81, 1286, 681, 280, 2149, 203, 668, 81, 3481, 280, 2149, 203, 751, 89, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 14595, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 1519, 711, 291, 630, 32, 426, 280, 636, 291, 630, 32, 983, 280, 1519, 291, 630, 32, 1621, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 983, 30, 313, 3481, 657, 284, 665, 44108, 1215, 26, 784, 711, 291, 442, 630, 32, 983, 474, 2430, 1275, 5681, 284, 665, 18189, 26, 784, 711, 291, 1188, 5296, 32, 1840, 1163, 291, 5296, 32, 1840, 1163, 32, 4661, 280, 630, 291, 6093, 81, 45287, 81, 4554, 280, 630, 32, 2682, 81, 45287, 81, 4554, 346, 291, 415, 6093, 81, 45287, 81, 4554, 438, 646, 1665, 44, 324, 1245, 89, 32, 1338, 440, 2366, 594, 17321, 11522, 436, 6093, 657, 324, 1123, 32, 669, 81, 2387, 81, 4554, 26, 4661, 81, 45287, 81, 4554, 30, 225, 34, 27, 291, 617, 669, 974, 2780, 4207, 4661, 10590, 630, 32, 983, 474, 44332, 291, 617, 669, 974, 2780, 1215, 4207, 2079, 10590, 630, 32, 983, 474, 2430, 2079, 29594, 291, 617, 669, 974, 2780, 1215, 4207, 1275, 10590, 630, 32, 983, 474, 2430, 1275, 29594, 291, 617, 669, 974, 2780, 1215, 4207, 754, 10590, 630, 32, 983, 474, 2430, 754, 29594, 284, 665, 622, 81, 23304, 81, 2387, 81, 983, 26, 784, 30, 4870, 711, 291, 3636, 22210, 440, 9165, 328, 36680, 15981, 284, 665, 622, 3442, 26, 784, 30, 4870, 711, 291, 442, 630, 32, 371, 81, 23304, 81, 2387, 81, 983, 26, 3607, 27, 284, 665, 2908, 81, 2387, 26, 784, 30, 3079, 81, 426, 30, 1619, 711, 291, 415, 3079, 81, 426, 32, 20643, 26, 5791, 92, 36, 32, 92, 1525, 392, 4939, 92, 36, 32, 916, 2131, 44, 324, 442, 2908, 81, 2387, 26, 2387, 81, 426, 30, 1115, 1819, 27, 291, 4348, 3079, 81, 426, 32, 20643, 5791, 916, 10280, 324, 35874, 81, 2387, 280, 630, 32, 371, 81, 23304, 81, 2387, 81, 983, 26, 2387, 81, 426, 27, 324, 442, 35874, 32, 47573, 726, 26, 23304, 81, 2387, 30, 1619, 27, 291, 813, 44, 324, 3636, 10838, 5965, 440, 5790, 3079, 636, 308, 12172, 943, 623, 638, 92, 36, 32, 92, 1525, 30, 638, 92, 36, 32, 916, 556, 638, 916, 711, 313, 474, 3079, 81, 426, 27, 284, 665, 2908, 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, 3, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 4, 4, 4, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 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, 8, 8, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 10, 10, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 7, 7, 4, 4, 8, 9, 9, 7, 8, 6, 6, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 10, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 9, 10, 9, 4, 4, 7, 7, 7, 7, 9, 9, 7, 9, 10, 8, 8, 4, 4, 7, 7, 7, 7, 7, 9, 9, 7, 9, 10, 8, 8, 10, 10, 4, 4, 7, 7, 7, 7, 7, 9, 9, 7, 9, 10, 8, 8, 10, 10, 4, 4, 7, 7, 7, 7, 7, 9, 9, 7, 9, 10, 8, 8, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 5, 8, 8, 7, 8, 7, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 5, 5, 5, 7, 9, 9, 9, 10, 10, 10, 9, 9, 11, 9, 5, 5, 6, 9, 9, 8, 9, 8, 10, 10, 6, 6, 10, 10, 9, 9, 11, 12, 12, 12, 12, 12, 12, 12, 11, 12, 12, 12, 11, 7, 7, 8, 10, 11, 11, 10, 11, 11, 11, 10, 10, 10, 5, 5, 6, 6, 6, 8, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 12, 10, 2, 2, 3, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 2, 1, 1, 0, 6, 6, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 0, 7, 7, 0, 0, 0, 8, 8, 0, 9, 9, 0, 0, 1, 2, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 10, 10, 0, 0, 1, 2, 10, 10, 0, 0, 11, 11, 1, 2, 2, 2, 11, 11, 0, 0, 3, 3, 2, 2, 2, 0, 12, 12, 1, 2, 2, 2, 12, 12, 0, 0, 0, 3, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 16, 16, 2, 1, 2, 16, 16, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 4, 4, 0, 2, 2, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 3, 0, 0, 0, 0, 1, 1, 1, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 0, 2, 3, 3, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 3, 3, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 3, 3, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 3, 3, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 4, 4, 4, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 5, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 6, 1 ]
[ 505, 1648, 505, 280, 330, 34, 32, 35, 34, 32, 35, 25, 203, 1070, 10381, 93, 39583, 32, 11452, 1188, 13313, 203, 1070, 10381, 93, 39583, 32, 2304, 1188, 5668, 203, 1070, 594, 17321, 36, 1188, 7778, 417, 30, 15820, 203, 1070, 638, 725, 1188, 24014, 30, 4448, 30, 5170, 203, 1070, 638, 1163, 1188, 3383, 203, 1070, 638, 8774, 1188, 1984, 81, 979, 30, 14011, 30, 3240, 81, 761, 30, 3240, 81, 1070, 81, 5660, 30, 766, 284, 622, 81, 1306, 22263, 81, 6286, 30, 622, 81, 2387, 81, 4890, 30, 1930, 81, 1986, 30, 10061, 81, 2524, 30, 766, 284, 3443, 81, 1793, 81, 1819, 203, 1070, 638, 19981, 1188, 1550, 81, 725, 30, 485, 30, 1326, 30, 3523, 30, 617, 1357, 81, 2095, 81, 3034, 30, 766, 275, 617, 725, 81, 2095, 81, 3034, 203, 1070, 638, 2095, 1188, 1401, 81, 1357, 81, 1819, 30, 1401, 81, 725, 81, 1819, 30, 766, 275, 2685, 81, 578, 81, 1357, 30, 1933, 81, 1700, 81, 1357, 81, 1819, 203, 1070, 638, 1647, 1188, 7703, 203, 1070, 638, 27336, 101, 1188, 34705, 203, 1070, 638, 1433, 27055, 1188, 2908, 81, 2387, 30, 2908, 81, 2387, 81, 800, 203, 1070, 638, 28771, 1188, 20719, 81, 7230, 30, 3079, 81, 29032, 30, 1326, 81, 9771, 30, 766, 275, 1326, 81, 15009, 30, 5424, 81, 1357, 81, 3893, 30, 1326, 81, 519, 6992, 81, 1746, 30, 766, 275, 1123, 1819, 81, 519, 6992, 81, 1746, 30, 1123, 1819, 81, 11467, 2034, 30, 766, 275, 1123, 1819, 81, 3235, 5367, 30, 1474, 81, 1306, 22263, 203, 1070, 638, 1188, 2361, 203, 1260, 1147, 280, 2361, 32, 1260, 1147, 203, 1070, 638, 18780, 1188, 25557, 10755, 3135, 619, 6548, 203, 1260, 81, 7230, 280, 2933, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 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, 3, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 4, 1, 1, 0, 1, 1, 4, 4, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 3, 3, 2, 2, 3, 4, 4, 0, 1, 1, 4, 1, 1, 4, 4, 2, 2, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 11, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 20, 6, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 13, 7, 0, 0, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 7, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 10, 10, 0, 0, 10, 10, 0, 11, 11, 0, 0, 11, 11, 0, 0, 11, 11, 0, 0, 0, 0, 0, 12, 12, 0, 12, 12, 0, 0, 12, 12, 0, 0, 12, 12, 0, 0, 12, 12, 9, 12, 0, 0, 12, 12, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, 0, 12, 12, 16, 12, 0, 0, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, 12, 12, 21, 12, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, 13, 13, 13, 13, 0, 0, 0, 0, 0, 2, 2, 2, 0, 15, 15, 0, 15, 15, 0, 0, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2957, 32, 11400, 1188, 15103, 203, 1070, 8527, 32, 2957, 32, 11400, 1188, 1984, 203, 1070, 2156, 3034, 81, 7854, 32, 44790, 32, 2300, 32, 24235, 483, 1188, 11875, 203, 20483, 527, 81, 2413, 280, 540, 28249, 12390, 66, 46, 5785, 81, 314, 8828, 80, 33, 45760, 23, 101, 25, 203, 965, 15719, 280, 15103, 26, 284, 330, 46305, 32, 44790, 32, 2300, 32, 24235, 483, 32, 4338, 370, 284, 1984, 26, 100, 28249, 37143, 11875, 32, 1284, 1074, 32, 302, 81, 1071, 1026, 636, 1057, 1055, 1425, 284, 1984, 26, 20483, 527, 81, 2413, 904, 8493, 370, 291, 11875, 32, 5287, 1074, 32, 302, 81, 1071, 1026, 291, 636, 1057, 5110, 1425, 284, 1984, 26, 20483, 527, 81, 2413, 904, 330, 1877, 370, 291, 11875, 32, 2333, 1074, 32, 302, 81, 1071, 1026, 291, 636, 1057, 1877, 1425, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 8, 8, 8, 6, 9, 10, 10, 8, 9, 9, 9, 8, 6, 7, 9, 9, 4, 4, 6, 8, 8, 8, 8, 7, 7, 9, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 6, 6, 7, 9, 9, 4, 4, 6, 8, 8, 8, 8, 7, 7, 9, 9, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 6, 6, 7, 9, 9, 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 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 5, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 5, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 5, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 109, 284, 330, 426, 950, 330, 435, 16564, 13136, 370, 284, 330, 1648, 950, 330, 35, 32, 34, 370, 284, 330, 3153, 950, 330, 1254, 12326, 4093, 370, 284, 330, 2310, 950, 1524, 203, 1318, 33102, 438, 372, 1159, 312, 6153, 2297, 372, 11856, 1169, 10052, 316, 16564, 32, 203, 6467, 511, 203, 1318, 2412, 18542, 1395, 526, 17767, 810, 458, 2297, 44, 203, 5877, 6753, 284, 319, 2222, 33, 2546, 10052, 328, 322, 316, 21856, 284, 319, 4831, 536, 436, 12994, 101, 284, 319, 701, 2086, 11636, 308, 8416, 461, 33, 271, 6683, 27, 284, 319, 624, 846, 13448, 10243, 284, 319, 902, 5210, 32785, 367, 3639, 284, 319, 13907, 436, 322, 13634, 39807, 461, 436, 322, 1158, 9697, 203, 37616, 284, 330, 2116, 950, 330, 2961, 527, 66, 19217, 370, 284, 330, 2242, 950, 2107, 2242, 33, 34041, 81, 1174, 32, 10561, 2188, 284, 330, 27263, 950, 2107, 8087, 98, 370, 330, 16842, 370, 330, 3524, 2188, 284, 330, 605, 950, 428, 291, 330, 4373, 33, 476, 32, 1160, 32, 3560, 32, 4700, 370, 291, 330, 4373, 33, 8087, 98, 81, 34041, 81, 4373, 32, 2593, 370, 291, 330, 8087, 98, 81, 34041, 81, 605, 32, 2593, 370, 291, 330, 8087, 98, 81, 34041, 81, 7508, 32, 2593, 370, 291, 330, 21880, 33, 8087, 98, 81, 34041, 81, 8151, 81, 1071, 32, 2593, 370, 291, 330, 21880, 33, 8087, 98, 81, 34041, 81, 2682, 81, 10969, 81, 1071, 32, 2593, 370, 291, 330, 8087, 98, 81, 34041, 81, 1071, 32, 2593, 370, 291, 330, 8087, 98, 81, 34041, 81, 9874, 32, 2593, 370, 291, 330, 8087, 98, 81, 34041, 81, 3734, 32, 2593, 370, 291, 330, 4338, 33, 3734, 81, 8087, 1001, 5210, 1174, 32, 2593, 370, 284, 2505, 284, 330, 6380, 950, 2107, 8087, 98, 81, 34041, 81, 6380, 32, 7070, 2188, 284, 330, 858, 950, 2107, 858, 33, 8087, 98, 81, 34041, 81, 3707, 32, 7070, 370, 1802, 330, 858, 33, 858, 81, 8087, 98, 81, 34041, 81, 4108, 5817, 32, 7070, 370, 1802, 330, 858, 33, 858, 81, 8087, 98, 81, 34041, 81, 84, 38, 5817, 32, 7070, 370, 1802, 330, 858, 33, 858, 81, 8087, 98, 81, 34041, 81, 5483, 5817, 32, 7070, 370, 1802, 330, 858, 33, 858, 81, 8087, 98, 81, 34041, 81, 8151, 32, 7070, 370, 1802, 330, 858, 33, 858, 81, 8087, 98, 81, 34041, 81, 12920, 32, 7070, 370, 284, 2505, 284, 330, 3789, 444, 950, 2933, 30, 284, 330, 2837, 81, 3789, 950, 3177, 30, 203, 111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 2, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 3, 6, 6, 6, 4, 6, 6, 4, 6, 6, 2, 2, 5, 5, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 5, 3, 2, 2, 2, 5, 5, 5, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 3, 1, 1, 1, 2, 0, 0, 1, 2, 5, 1, 1, 1, 2, 0, 0, 1, 2, 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, 2, 0, 0, 1, 2, 9, 1, 1, 1, 1, 2, 0, 0, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 13, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 15, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 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, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 17, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 19, 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, 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, 2, 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, 2, 2, 2, 0, 0, 1, 1, 2, 21, 0, 0, 0, 1, 1, 1, 2, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 316, 203, 465, 1133, 203, 465, 42406, 203, 1070, 1695, 40, 38, 1188, 323, 40, 38, 4434, 203, 1070, 638, 8524, 1188, 1984, 2208, 30, 596, 203, 1070, 638, 21326, 1188, 6571, 81, 21326, 81, 452, 81, 6857, 203, 1070, 638, 2304, 1188, 3185, 81, 2665, 81, 2111, 30, 372, 81, 3723, 81, 800, 203, 1070, 638, 1517, 81, 7787, 1188, 12668, 203, 11844, 81, 2319, 81, 5060, 81, 2413, 42097, 54, 280, 330, 3164, 33, 106, 31, 1499, 31, 599, 31, 27151, 25, 203, 11844, 81, 2319, 81, 18174, 81, 14498, 280, 330, 17966, 33, 599, 31, 605, 25, 203, 589, 617, 6390, 81, 2393, 81, 466, 26, 699, 30, 3882, 711, 284, 3796, 466, 280, 330, 7099, 330, 474, 372, 81, 3723, 81, 800, 26, 291, 323, 40, 38, 4434, 26, 15339, 101, 6069, 101, 25, 904, 308, 699, 30, 3882, 3427, 4434, 463, 23423, 35, 12097, 7201, 346, 284, 829, 284, 442, 3796, 466, 203, 823, 6227, 1761, 26, 1473, 711, 284, 665, 1156, 1851, 3207, 784, 30, 540, 711, 291, 3636, 22210, 463, 2681, 21042, 2298, 526, 20695, 11834, 203, 823, 4808, 7099, 2681, 26, 2681, 1761, 711, 284, 665, 1156, 1664, 3207, 784, 30, 952, 30, 3882, 711, 291, 630, 32, 699, 280, 952, 291, 630, 32, 2895, 280, 3882, 284, 665, 1156, 1851, 3207, 784, 30, 540, 711, 291, 540, 32, 5078, 710, 8466, 785, 280, 617, 6390, 81, 2393, 81, 466, 26, 784, 32, 699, 30, 630, 32, 2895, 27, 291, 442, 540, 203, 823, 4808, 5392, 2681, 26, 5068, 7099, 2681, 711, 284, 665, 1156, 1851, 3207, 784, 30, 540, 711, 291, 540, 32, 5078, 710, 5392, 31, 8466, 785, 280, 617, 6390, 81, 2393, 81, 466, 26, 784, 32, 699, 30, 630, 32, 2895, 27, 291, 442, 540, 203, 823, 4808, 15100, 2681, 26, 2681, 1761, 711, 284, 665, 1156, 1664, 3207, 784, 30, 952, 30, 3882, 711, 291, 630, 32, 699, 280, 952, 291, 630, 32, 2895, 280, 3882, 291, 630, 32, 2135, 81, 17659, 280, 4247, 291, 630, 32, 17659, 81, 998, 280, 225, 34, 291, 630, 32, 380, 279, 280, 2149, 291, 630, 32, 966, 280, 1665, 291, 630, 32, 1516, 81, 38, 34, 35, 81, 13842, 280, 225, 35, 284, 665, 1968, 81, 13995, 81, 2111, 26, 784, 30, 1411, 30, 1984, 711, 291, 24482, 280, 630, 32, 380, 279, 710, 21355, 785, 291, 21872, 280, 630, 32, 380, 279, 710, 17659, 785, 291, 2678, 520, 280, 630, 32, 380, 279, 32, 371, 463, 99, 520, 683, 291, 8218, 280, 630, 32, 380, 279, 32, 371, 463, 12124, 683, 291, 32400, 280, 630, 32, 380, 279, 32, 371, 463, 37576, 683, 291, 415, 8218, 438, 1665, 44, 324, 617, 12124, 280, 330, 5108, 39, 25, 291, 813, 44, 324, 617, 12124, 280, 8218, 32, 7607, 346, 291, 415, 617, 12124, 610, 330, 5108, 39, 25, 556, 617, 12124, 610, 330, 5108, 39, 31, 9312, 950, 324, 665, 8735, 39, 81, 3310, 42, 26, 106, 711, 400, 415, 6937, 26, 106, 30, 596, 711, 528, 816 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 4, 4, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 11, 11, 11, 11, 14, 17, 17, 17, 17, 15, 15, 17, 16, 16, 16, 14, 13, 15, 15, 15, 10, 9, 7, 7, 2, 2, 3, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 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, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 7, 9, 9, 4, 4, 6, 6, 8, 9, 9, 7, 9, 9, 4, 4, 7, 6, 6, 9, 10, 10, 8, 9, 8, 10, 10, 10, 4, 4, 6, 6, 9, 10, 10, 8, 9, 8, 10, 10, 4, 4, 6, 6, 9, 10, 10, 8, 9, 8, 10, 10, 4, 4, 5, 6, 6, 5, 5, 5, 9, 8, 8, 10, 10, 10, 5, 5, 6, 6, 6, 10, 9, 9, 11, 12, 11, 4, 4, 5, 8, 7, 7, 9, 9, 9, 6, 6, 8, 7, 7, 9, 9, 9, 9, 9, 5, 5, 7, 8, 8, 8, 8, 8, 9, 8, 7, 7, 9, 11, 12, 11, 11, 11, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 11, 11, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 11, 11, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 13, 13, 1, 1, 2, 1, 1, 2, 13, 13, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 1, 0, 14, 14, 1, 1, 2, 1, 1, 1, 2, 14, 14, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 1, 0, 15, 15, 1, 1, 2, 1, 1, 2, 15, 15, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 4, 4, 5, 1, 1, 5, 5, 5, 0, 0, 0, 1, 1, 2, 5, 5, 4, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 6, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 6, 6, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0 ]
[ 1070, 3772, 5068, 2059, 1188, 3772, 5068, 29949, 30, 4808, 2059, 203, 465, 2322, 203, 465, 316, 203, 465, 6234, 203, 465, 5237, 203, 465, 22045, 203, 465, 11685, 203, 1070, 8527, 32, 1262, 32, 9331, 32, 1489, 1188, 1963, 81, 1621, 203, 1070, 8527, 32, 2304, 32, 525, 1188, 1913, 81, 770, 203, 1070, 8527, 32, 2304, 1114, 500, 1188, 10061, 81, 2524, 203, 1070, 8527, 32, 12023, 32, 1574, 2536, 1188, 15098, 30, 11875, 619, 907, 203, 505, 1648, 505, 280, 313, 34, 32, 35, 20, 203, 505, 464, 505, 280, 2107, 3951, 14819, 2059, 1195, 3951, 14819, 29949, 785, 203, 1786, 81, 1648, 280, 313, 3951, 14819, 2059, 5681, 474, 1156, 1648, 505, 203, 3731, 81, 1648, 280, 313, 8312, 5681, 474, 5237, 32, 1648, 32, 2998, 8532, 34, 79, 203, 12279, 81, 1648, 280, 2145, 81, 1648, 474, 330, 330, 474, 5237, 81, 1648, 203, 823, 624, 9763, 59, 2059, 984, 26, 984, 711, 284, 3097, 203, 823, 2032, 4672, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 803, 6228, 30, 28016, 891, 47, 42, 35, 43, 36, 711, 291, 630, 32, 761, 6228, 280, 803, 6228, 291, 630, 32, 13216, 891, 280, 28016, 891, 291, 415, 19326, 26, 761, 6228, 1947, 2679, 7831, 324, 630, 32, 2679, 280, 803, 6228, 32, 2679, 284, 665, 1156, 33644, 3207, 784, 30, 678, 711, 291, 706, 280, 630, 32, 761, 6228, 32, 850, 26, 784, 32, 13216, 891, 27, 291, 415, 706, 44, 324, 442, 706, 291, 3636, 44121, 284, 665, 1156, 1731, 3207, 784, 711, 291, 442, 630, 284, 665, 2354, 26, 784, 711, 291, 706, 280, 630, 32, 761, 6228, 32, 850, 26, 784, 32, 13216, 891, 27, 291, 415, 706, 44, 324, 442, 706, 291, 3636, 12305, 21863, 203, 1421, 897, 564, 101, 280, 316, 32, 6993, 26, 100, 44860, 766, 4987, 12129, 14670, 30, 45, 3491, 1492, 19323, 13644, 10854, 45414, 26392, 203, 589, 617, 1643, 753, 26, 753, 30, 786, 47, 2521, 30, 15358, 47, 35, 711, 284, 415, 786, 438, 646, 1665, 461, 2069, 26, 853, 27, 848, 225, 34, 44, 291, 415, 15358, 556, 273, 10097, 101, 32, 1903, 26, 853, 711, 324, 786, 280, 786, 32, 3227, 40348, 370, 330, 11468, 1814, 3227, 463, 21684, 540, 25, 1492, 683, 324, 442, 6611, 101, 28664, 101, 14891, 904, 308, 753, 30, 786, 27, 291, 813, 44, 324, 442, 6611, 101, 6132, 101, 25, 904, 308, 753, 30, 786, 27, 284, 813, 44, 291, 442, 4356, 203, 823, 19344, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 5078, 711, 291, 415, 646, 6937, 26, 5078, 30, 1149, 711, 324, 3636, 12678, 440, 6267, 2298, 526, 312, 1149, 432, 636, 33, 853, 24414, 657, 291, 630, 1114, 5078, 280, 4826, 284, 665, 1156, 1657, 3207, 784, 711, 291, 442, 2069, 26, 784, 1114, 5078, 27, 284, 665, 1156, 470, 1094, 3207, 784, 30, 636, 30, 909, 711, 291, 3555, 630, 77, 426, 79, 291, 630, 1114, 5078, 32, 1689, 1162, 426, 30, 909, 490, 284, 665, 1156, 4025, 1094, 3207, 784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 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, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 1, 1, 2, 2, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 3, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 3, 3, 7, 8, 6, 7, 6, 5, 4, 0, 3, 3, 3, 2, 2, 5, 5, 4, 4, 6, 3, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 4, 6, 5, 6, 6, 6, 6, 4, 3, 3, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 5, 7, 8, 8, 7, 9, 9, 5, 5, 9, 10, 8, 8, 10, 9, 10, 2, 2, 3, 4, 4, 5, 4, 5, 4, 3, 3, 6, 6, 9, 10, 10, 8, 9, 8, 10, 9, 10, 10, 8, 4, 4, 5, 5, 5, 5, 7, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 9, 10, 10, 8, 9, 8, 10, 9, 10, 10, 8, 4, 4, 5, 5, 5, 5, 7, 4, 4, 5, 6, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 5, 5, 5, 4, 4, 7, 8, 7, 5, 5, 6, 3, 3, 3, 5, 6, 6, 9, 9, 8, 9, 8, 9, 8, 5, 5, 8, 8, 12, 13, 12, 14, 12, 15, 14, 11, 10, 12, 10, 12, 12, 12, 6, 6, 7, 10, 10, 10, 10, 8, 8, 10, 9, 9, 9, 5, 5, 6, 6, 6, 8, 11, 11, 11, 11, 9, 9, 11, 10, 10, 10, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 5, 4, 3, 3, 5, 6, 8, 9, 8, 8, 8, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 7, 6, 4, 4, 8, 9, 7, 8, 7, 9, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 1, 2, 1, 4, 1, 6, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 4, 10, 10, 10, 10, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 16, 16, 1, 1, 1, 1, 2, 1, 2, 16, 16, 0, 17, 17, 1, 2, 1, 2, 17, 17, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 5, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 2, 3, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 1, 1, 1, 1, 0, 4, 4, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 1, 1, 1, 1, 0, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 19, 19, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 19, 19, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 4, 4, 4, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 20, 20, 2, 1, 2, 20, 20, 0, 1, 1, 1, 2, 3, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1 ]
[ 465, 5237, 30, 45977, 203, 465, 15798, 30, 316, 203, 1070, 894, 1188, 894, 81, 3592, 203, 1070, 44524, 1188, 44524, 203, 823, 2108, 1761, 44, 284, 7328, 351, 280, 4247, 27218, 22256, 2264, 280, 1665, 3701, 273, 800, 263, 280, 4247, 27218, 1340, 288, 17206, 647, 280, 1665, 3701, 7818, 2754, 30675, 261, 280, 225, 35, 17946, 1401, 81, 9328, 35, 34, 40, 38, 40, 264, 280, 225, 34, 17946, 5592, 1594, 426, 858, 280, 1665, 3701, 707, 19943, 9941, 280, 1044, 10255, 795, 1291, 25, 3701, 665, 14553, 26, 784, 711, 291, 415, 630, 32, 12782, 438, 1665, 44, 324, 630, 32, 12782, 280, 45977, 32, 10122, 26, 784, 32, 8644, 27, 291, 630, 32, 4434, 280, 630, 32, 12782, 32, 4434, 291, 630, 32, 5460, 280, 630, 32, 12782, 32, 5460, 291, 630, 32, 6308, 280, 630, 32, 12782, 32, 2238, 6308, 291, 630, 32, 7572, 280, 630, 32, 12782, 32, 2238, 7572, 291, 630, 32, 37320, 13023, 280, 630, 32, 12782, 32, 37320, 13023, 291, 630, 32, 37320, 14858, 280, 630, 32, 12782, 32, 37320, 14858, 284, 665, 894, 81, 7190, 3205, 26, 784, 711, 291, 436, 7555, 30, 6459, 42, 328, 8529, 2740, 77, 652, 2338, 26, 88, 547, 33232, 346, 6619, 436, 296, 328, 630, 32, 102, 800, 10794, 324, 1044, 280, 630, 32, 5460, 26, 3723, 5594, 34, 79, 324, 630, 32, 5299, 26, 103, 30, 6459, 42, 32, 5460, 463, 3310, 31, 42, 2847, 324, 415, 630, 32, 1497, 2754, 30675, 44, 400, 630, 32, 5299, 26, 3723, 30, 630, 32, 4434, 26, 103, 5594, 34, 1130, 284, 665, 894, 81, 731, 2956, 26, 784, 711, 291, 436, 1914, 30, 12841, 30, 2799, 328, 630, 32, 687, 288, 17206, 44, 324, 415, 827, 26, 1855, 27, 610, 827, 463, 7831, 400, 3420, 280, 630, 32, 5460, 324, 813, 44, 400, 3420, 280, 630, 32, 4434, 324, 415, 2799, 44, 400, 1056, 280, 3420, 26, 1855, 30, 12841, 5594, 34, 79, 400, 630, 32, 5299, 26, 1267, 30, 2799, 27, 324, 813, 44, 400, 630, 32, 23895, 26, 14923, 924, 30, 3420, 30, 1914, 30, 12841, 27, 284, 665, 894, 81, 2593, 1594, 612, 3227, 26, 784, 711, 291, 415, 630, 32, 2040, 81, 9328, 35, 34, 40, 38, 40, 44, 324, 442, 291, 309, 280, 1044, 7646, 103, 34, 84, 35, 37, 78, 103, 34, 84, 36, 37, 78, 103, 34, 84, 40, 34, 15379, 16298, 5360, 20, 291, 630, 32, 5299, 26, 324, 630, 32, 4434, 26, 101, 30, 313, 2593, 1594, 612, 3227, 16050, 34, 614, 324, 313, 5233, 36, 42, 37, 39, 17256, 36, 42, 39, 35, 17256, 36, 43, 35, 36, 45, 15379, 16298, 5360, 20, 291, 829, 284, 665, 894, 81, 2988, 3227, 81, 4434, 26, 784, 711, 291, 415, 630, 32, 2040, 81, 9328, 35, 34, 40, 38, 40, 44, 324, 442, 291, 645, 4159, 2225, 15312, 1188, 1340, 1493, 36, 426, 291, 665, 5592, 1594, 21140, 747, 1850, 26, 14806, 711, 324, 415, 646, 6937, 26, 14806, 30, 23174, 10807, 924, 711, 400, 3636, 12678, 440, 11676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 5, 4, 4, 4, 2, 2, 5, 5, 4, 4, 4, 2, 2, 5, 5, 4, 4, 4, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 9, 10, 8, 8, 10, 11, 10, 12, 11, 12, 10, 4, 4, 7, 8, 6, 6, 8, 9, 7, 8, 4, 4, 7, 8, 6, 6, 8, 9, 7, 8, 4, 4, 7, 8, 6, 6, 8, 9, 7, 8, 8, 4, 4, 7, 8, 6, 6, 8, 9, 7, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 9, 7, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 9, 7, 8, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 7, 5, 5, 7, 9, 13, 13, 13, 14, 13, 12, 11, 9, 9, 10, 10, 10, 11, 12, 12, 9, 5, 5, 8, 8, 11, 12, 11, 12, 11, 10, 9, 6, 6, 9, 10, 9, 10, 9, 9, 12, 11, 12, 11, 13, 13, 13, 13, 6, 6, 7, 8, 9, 9, 9, 7, 7, 7, 11, 12, 11, 12, 11, 11, 14, 15, 14, 15, 14, 13, 12, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 6, 6, 5, 5, 6, 7, 7, 7, 5, 5, 5, 7, 10, 11, 10, 8, 8, 10, 12, 7, 7, 10, 10, 11, 12, 7, 7, 8, 8, 8, 11, 11, 12, 13, 6, 6, 7, 7, 7, 7, 10, 10, 13, 14, 13, 13, 13, 12, 11, 8, 8, 11, 12, 11, 12, 11, 11, 11, 7, 7, 8, 8, 8, 12, 13, 12, 13, 13, 12, 12, 12, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 4, 4, 7, 8, 7, 7, 7, 10, 11, 10, 11, 10, 10, 12, 12, 12, 12, 12, 9, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 4, 4, 5, 7, 7, 5, 5, 7, 7, 7, 4, 4, 5, 6, 6, 6, 6, 6, 7, 6, 5, 5, 7, 8, 10, 11, 10, 10, 11, 11, 10, 7, 7, 9, 11, 14 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 0, 4, 4, 1, 4, 4, 4, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 8, 2, 1, 2, 8, 8, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 3, 3, 9, 1, 1, 1, 2, 1, 2, 9, 9, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 5, 5, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 5, 5, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 3, 3, 3, 10, 1, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 4, 0, 0, 2, 2, 5, 5, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 11, 1, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 12, 1, 1, 1, 1, 1, 2, 1, 2, 12, 12, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 4, 4, 1, 0, 0, 1, 1, 0, 0, 0, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 1, 1 ]
[ 37632, 14507, 81, 26580, 280, 5053, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 370, 528, 330, 1648, 950, 330, 35, 32, 34, 6040, 203, 24021, 2893, 280, 1524, 203, 1559, 203, 1647, 44, 4659, 5285, 81, 4298, 203, 1648, 81, 11043, 44, 330, 36, 32, 34, 25, 203, 4021, 81, 2310, 44, 15450, 556, 20080, 11463, 5285, 3500, 13479, 461, 44428, 13479, 372, 3026, 32, 203, 2310, 44, 334, 429, 15450, 556, 20080, 11463, 5285, 3500, 4203, 461, 30, 24480, 30, 5313, 1604, 13479, 32, 203, 2184, 44, 334, 636, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 4203, 372, 1015, 556, 3345, 32, 284, 2129, 44, 861, 334, 11012, 81, 9715, 44, 284, 3048, 44, 397, 429, 2764, 934, 18604, 1149, 432, 13479, 372, 5313, 372, 322, 4203, 32, 284, 20664, 44, 2107, 20448, 81, 4298, 785, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 1603, 44, 284, 3048, 44, 397, 429, 14071, 372, 1487, 390, 26, 2689, 471, 6278, 390, 26, 3596, 304, 27, 556, 5440, 390, 26, 16073, 27, 312, 4203, 32, 284, 2129, 44, 901, 284, 16682, 44, 2107, 2689, 370, 330, 3596, 304, 785, 284, 1244, 44, 5024, 334, 3082, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 11463, 5285, 3500, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 4904, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 11463, 5285, 4904, 32, 284, 2129, 44, 901, 284, 1244, 44, 18339, 334, 2601, 44, 284, 3048, 44, 397, 429, 11463, 5285, 4904, 2601, 372, 5008, 372, 32, 284, 2129, 44, 901, 284, 1244, 44, 225, 39, 38, 37, 37, 334, 6207, 81, 496, 44, 284, 3048, 44, 397, 429, 886, 952, 1654, 372, 21307, 623, 32, 284, 2129, 44, 901, 284, 1244, 44, 3082, 2300, 334, 6207, 81, 2895, 44, 284, 3048, 44, 397, 429, 886, 3882, 1654, 372, 21307, 623, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 203, 8886, 44, 334, 429, 886, 1244, 9156, 22416, 688, 844, 884, 3154, 5741, 328, 619, 556, 12798, 25, 299, 284, 372, 322, 390, 26, 1199, 2300, 27, 3497, 544, 322, 3408, 32, 334, 429, 1348, 2297, 5251, 390, 26, 978, 36871, 471, 312, 4865, 44927, 3500, 10697, 32, 2448, 2298, 7279, 284, 688, 390, 26, 16705, 65, 16300, 27, 461, 390, 26, 978, 36871, 27, 438, 6713, 544, 322, 3408, 461, 10273, 9577, 32, 334, 429, 3383, 4093, 390, 26, 16705, 65, 16300, 27, 436, 11463, 5285, 7171, 390, 26, 6636, 280, 517, 2215, 33, 1627, 5285, 33, 1356, 40, 38, 33, 1356, 1627, 5285, 36871, 32, 762, 27, 284, 372, 526, 3640, 372, 322, 390, 26, 3819, 5285, 27, 4169, 432, 3154, 390, 7009, 6698, 33, 36871, 2325, 32, 5930, 27, 556, 390, 794, 8439, 4724, 36871, 2325, 32, 5930, 27, 284, 461, 4335, 390, 26, 924, 6384, 1215, 280, 517, 2215, 33, 1627, 5285, 33, 1356, 40, 38, 27, 461, 390, 26, 6636, 1572, 7960, 280, 9354, 31, 35, 40, 27, 284, 372, 526, 3640, 372, 322, 390, 26, 6636, 27, 4169, 432 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 2, 2, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 5741, 203, 465, 2322, 203, 465, 316, 203, 1070, 16951, 893, 8366, 1356, 1188, 11607, 203, 1070, 16951, 893, 8366, 1356, 1188, 8745, 203, 823, 44686, 4001, 924, 26, 984, 711, 203, 823, 8073, 15516, 4001, 924, 26, 984, 711, 203, 823, 44686, 4001, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 711, 284, 630, 1114, 2024, 81, 5366, 761, 280, 1665, 284, 630, 1114, 1617, 101, 280, 1605, 284, 630, 1114, 10444, 101, 280, 1605, 284, 630, 1114, 678, 280, 1665, 284, 630, 1114, 19100, 280, 2933, 284, 630, 1114, 2548, 81, 891, 280, 225, 34, 284, 630, 1114, 3617, 81, 10060, 81, 7676, 280, 3177, 284, 630, 1114, 5134, 280, 1665, 284, 630, 1114, 26495, 81, 668, 280, 1605, 284, 630, 1114, 21742, 81, 1515, 280, 3056, 2868, 25, 284, 630, 1114, 10300, 280, 1665, 284, 630, 1114, 10785, 280, 11607, 32, 1658, 12062, 26, 297, 81, 89, 369, 81, 2386, 47, 2304, 32, 1622, 9514, 1484, 57, 1955, 1157, 334, 665, 1756, 31083, 761, 26, 784, 30, 13539, 81, 761, 711, 284, 630, 1114, 2024, 81, 5366, 761, 280, 13539, 81, 761, 334, 665, 2222, 11307, 26, 784, 30, 9519, 711, 284, 630, 1114, 10300, 280, 9519, 334, 665, 2222, 2028, 26, 784, 30, 1561, 30, 20507, 426, 26409, 18581, 47, 1815, 711, 284, 415, 646, 2322, 32, 983, 32, 4658, 26, 1617, 711, 397, 3636, 10091, 463, 5790, 1519, 683, 284, 630, 1114, 1617, 101, 32, 1689, 1162, 500, 32, 983, 32, 21379, 26, 1617, 471, 20507, 426, 30, 18581, 490, 334, 665, 20593, 19989, 101, 26, 784, 30, 11246, 101, 711, 284, 630, 1114, 10444, 101, 32, 8233, 26, 10444, 101, 27, 334, 665, 1756, 953, 26, 784, 30, 1202, 711, 284, 630, 1114, 678, 280, 1202, 334, 665, 1756, 6841, 26, 784, 30, 5624, 711, 284, 630, 1114, 5134, 280, 5624, 284, 5741, 32, 5691, 463, 26495, 1149, 280, 904, 101, 370, 528, 330, 5608, 2524, 26, 5134, 32, 936, 40448, 720, 5156, 284, 630, 1114, 26495, 81, 668, 280, 428, 268, 32, 1113, 463, 80, 13093, 2550, 816, 27, 1014, 436, 816, 328, 5624, 32, 936, 40448, 720, 7662, 334, 665, 617, 885, 12062, 26, 784, 30, 1778, 81, 10785, 711, 284, 630, 1114, 10785, 280, 1778, 81, 10785, 334, 665, 1756, 40678, 4542, 26, 784, 30, 3362, 711, 284, 630, 1114, 21742, 81, 1515, 280, 3362, 334, 665, 20419, 15016, 11624, 26, 784, 711, 284, 630, 1114, 3617, 81, 10060, 81, 7676, 280, 2933, 334, 665, 12072, 26, 784, 711, 284, 630, 1114, 10570, 346, 334, 665, 14092, 417, 26, 784, 711, 284, 442, 308, 34, 30, 1665, 27, 334, 665, 617, 10570, 26, 784, 711, 284, 415, 646, 630, 1114, 2024, 81, 5366, 761, 556, 646, 630, 1114, 1617, 101, 556, 646, 630, 1114, 678, 44, 397, 3636, 8073, 15516, 4001, 924, 463, 39007, 1933, 1374, 683, 284, 436, 308, 1617, 30, 4950, 15084, 328, 630, 1114, 1617, 101, 44, 397, 415, 646, 2322, 32, 983, 32, 4658, 26, 1617, 711, 291, 3636, 44686, 4001, 924, 15339, 101, 1957, 646, 5375 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 0, 1, 1, 2, 2, 2, 2, 3, 2, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 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, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 10, 10, 10, 10, 10, 10, 9, 12, 11, 12, 12, 12, 12, 12, 11, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 6, 5, 4, 5, 6, 4, 3, 3, 5, 6, 9, 10, 8, 9, 8, 9, 8, 5, 5, 7, 9, 11, 11, 11, 4, 4, 8, 9, 9, 7, 8, 7, 12, 11, 12, 10, 11, 10, 11, 10, 8, 9, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 8, 9, 9, 7, 8, 7, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 7, 11, 10, 9, 12, 11, 12, 12, 12, 11, 4, 4, 7, 8, 8, 8, 6, 6, 10, 9, 10, 9, 11, 11, 9, 9, 9, 7, 7, 8, 8, 8, 10, 11, 11, 11, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 10, 10, 10, 10, 7, 7, 8, 9, 10, 10, 6, 6, 7, 8, 9, 5, 5, 5, 7, 9, 9, 9, 9, 11, 11, 11, 11, 4, 4, 5, 7, 6, 6, 6, 5, 5, 6, 7, 7, 5, 5, 5, 7, 8, 11, 12, 10, 11, 10, 11, 10, 7, 7, 9, 11, 11, 11, 14, 14, 14, 14 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 4, 4, 0, 5, 5, 1, 1, 2, 1, 2, 0, 6, 6, 1, 1, 1, 2, 1, 2, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 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, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 4, 4, 3, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 7, 2, 2, 3, 3, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 2, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 1, 4, 4, 5, 1, 2, 1, 2, 2, 2, 5, 5, 0, 2, 0, 0, 4, 4, 6, 1, 2, 1, 2, 2, 2, 6, 6, 0, 2, 0, 0, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 7, 1, 1, 2, 1, 2, 2, 3, 3, 2, 7, 7, 0, 2, 0, 0, 2, 2, 4, 4, 8, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 2, 2, 2, 0, 0, 4, 4, 9, 1, 1, 2, 1, 2, 9, 9, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 10, 2, 1, 2, 10, 10, 0, 2, 1, 4, 4, 11, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 1, 4, 4, 12, 1, 2, 1, 2, 12, 12, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1 ]
[ 1070, 7050, 1028, 741, 32, 2304, 1188, 35108, 36, 955, 203, 1070, 7050, 1028, 741, 32, 3483, 1188, 9361, 203, 1070, 7050, 1028, 741, 1188, 9161, 619, 551, 203, 823, 42671, 13054, 1498, 26, 1952, 711, 284, 546, 81, 13236, 17326, 280, 2933, 284, 546, 81, 74, 6430, 280, 3177, 284, 665, 1156, 1664, 3207, 784, 30, 17908, 81, 21284, 30, 1769, 81, 10495, 1498, 81, 30518, 30, 353, 1115, 5321, 711, 291, 415, 646, 308, 34, 333, 17908, 81, 21284, 2511, 225, 35, 32, 34, 711, 324, 3636, 10091, 440, 23776, 81, 21284, 2298, 526, 328, 1481, 34, 32, 225, 35, 25790, 291, 436, 909, 328, 1769, 81, 10495, 1498, 81, 30518, 44, 324, 415, 646, 308, 34, 333, 909, 2511, 225, 35, 32, 34, 711, 400, 3636, 10091, 26, 528, 313, 1449, 81, 10495, 1498, 81, 30518, 2078, 2298, 526, 3733, 1481, 34, 32, 225, 35, 25790, 291, 630, 32, 23776, 81, 21284, 280, 17908, 81, 21284, 291, 630, 32, 1449, 81, 10495, 1498, 81, 30518, 280, 1769, 81, 10495, 1498, 81, 30518, 291, 2599, 26, 40278, 13054, 1498, 30, 630, 14585, 1664, 3207, 326, 5321, 27, 284, 665, 1476, 26, 784, 30, 17908, 711, 291, 787, 40387, 81, 23776, 280, 551, 32, 2991, 26, 23776, 27, 291, 787, 40387, 81, 23776, 280, 551, 32, 17906, 26, 615, 40387, 81, 23776, 27, 291, 1929, 81, 10495, 1498, 81, 16129, 23399, 101, 280, 629, 26, 23776, 32, 3229, 77, 34, 79, 319, 2476, 630, 32, 23776, 81, 21284, 27, 291, 630, 32, 1216, 81, 2811, 463, 1516, 45833, 101, 370, 1929, 81, 10495, 1498, 81, 16129, 23399, 101, 27, 291, 33094, 81, 3229, 280, 428, 1516, 81, 10495, 1498, 81, 16129, 23399, 101, 79, 291, 436, 5417, 30, 33776, 328, 10703, 26, 784, 32, 1449, 81, 10495, 1498, 81, 30518, 711, 324, 1769, 81, 29677, 280, 629, 26, 23776, 32, 3229, 77, 2875, 474, 225, 35, 79, 319, 33776, 474, 225, 35, 27, 324, 415, 1769, 81, 29677, 848, 225, 35, 44, 400, 1929, 81, 29677, 280, 551, 32, 21378, 26, 35, 30, 3857, 47, 1449, 81, 29677, 27, 324, 813, 44, 400, 1929, 81, 29677, 280, 225, 35, 324, 33094, 81, 3229, 32, 1689, 26, 1516, 81, 29677, 27, 291, 33094, 81, 3229, 280, 33094, 81, 3229, 291, 630, 32, 1216, 81, 2811, 440, 23776, 81, 3229, 9318, 17908, 32, 3229, 27, 291, 630, 32, 1216, 81, 2811, 440, 11524, 81, 3229, 9318, 33094, 81, 3229, 27, 291, 35108, 280, 428, 6099, 26, 34, 30, 1929, 81, 10495, 1498, 81, 16129, 23399, 101, 2177, 291, 436, 5417, 30, 8184, 1498, 81, 891, 328, 10703, 26, 30541, 81, 3229, 77, 35, 10056, 711, 324, 19664, 81, 3534, 280, 5417, 474, 225, 35, 324, 1769, 81, 1366, 280, 17908, 32, 3229, 77, 11524, 81, 3534, 79, 429, 8184, 1498, 81, 891, 474, 225, 35, 324, 1477, 280, 551, 32, 21378, 26, 34, 30, 1769, 81, 1366, 27, 324, 35108, 32, 1689, 26, 6099, 26, 1366, 30, 8184, 1498, 81, 891, 474, 1477, 490, 291, 35108, 280, 8825, 26, 38418, 27, 291, 8349 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 6, 4, 3, 3, 5, 6, 9, 8, 8, 9, 9, 8, 8, 9, 9, 9, 7, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 7, 8, 11, 10, 10, 10, 10, 11, 11, 11, 9, 7, 7, 9, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 4, 4, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 9, 8, 4, 4, 7, 7, 7, 7, 7, 7, 7, 6, 6, 8, 12, 11, 12, 10, 11, 10, 9, 9, 9, 10, 11, 11, 11, 8, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 5, 6, 6, 5, 5, 7, 9, 8, 9, 9, 9, 9, 9, 9, 7, 5, 5, 9, 9, 8, 8, 10, 15, 14, 15, 13, 15, 14, 14, 15, 13, 12, 12, 11, 11, 12, 10, 6, 6, 7, 9, 9, 8, 8, 9, 7, 7, 7, 11, 11, 10, 10, 12, 13, 12, 13, 12, 12, 13, 14, 14, 14, 12, 7, 7, 8, 8, 8, 12, 12, 11, 11, 12, 6, 6, 10, 10, 9, 10, 9, 10, 10, 10, 9, 4, 4, 7, 7, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 8, 8, 7, 4, 4, 6, 6, 9, 9, 10, 9, 9, 10, 10, 10, 10, 10, 10, 10, 9, 4, 4, 5, 6, 6, 7, 7, 7, 5, 5, 7, 9, 9, 9, 8, 10, 9, 7, 5, 5, 9, 9, 8, 8, 9, 9, 10, 6, 6, 9, 9, 8, 8, 12, 13, 11, 12, 12, 12, 11, 10, 10, 11, 11, 11, 9, 9, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 10, 11, 11, 10, 6, 6, 9, 10, 9, 11, 11, 12, 11, 11, 13, 13, 13, 12, 12, 11, 4, 4, 6, 6, 8, 9, 8, 4, 4 ]
[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 3, 3, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 5, 5, 5, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 4, 4, 4, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 4, 4, 4, 1, 0, 0, 0, 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, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 3, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 5, 5, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 5, 5, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 5, 5, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 4, 4, 10, 1, 1, 2, 2, 2, 10, 10, 1, 0, 0, 0, 1, 0, 2, 1, 10, 10, 0, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 3, 3, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4 ]
[ 1070, 894, 81, 2846, 32, 858, 81, 2846, 1188, 35409, 1006, 5936, 203, 1070, 894, 81, 2846, 32, 1040, 1188, 319, 203, 465, 22045, 32, 2208, 203, 823, 4004, 17278, 1006, 308, 41377, 1006, 5936, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 17094, 1664, 16369, 291, 630, 32, 1516, 81, 5459, 280, 225, 38, 291, 630, 32, 5522, 81, 6008, 81, 5074, 280, 3177, 284, 665, 1420, 81, 858, 26, 784, 711, 291, 1201, 81, 2228, 26, 1657, 26, 784, 32, 5459, 77, 36, 997, 371, 10356, 1338, 6182, 225, 38, 27, 4456, 630, 32, 5459, 77, 36, 997, 470, 10357, 440, 35, 36, 41, 32, 34, 32, 34, 32, 35, 392, 313, 669, 657, 291, 1133, 32, 7840, 26, 37, 27, 4456, 1201, 81, 2228, 26, 1657, 26, 784, 32, 5459, 77, 36, 997, 371, 10356, 1338, 6182, 225, 34, 27, 4456, 1201, 81, 2228, 26, 1657, 26, 784, 32, 5459, 77, 36, 997, 668, 84, 12345, 6182, 225, 35, 27, 291, 630, 32, 5459, 77, 36, 997, 3815, 84, 12345, 346, 291, 1201, 81, 2228, 26, 1657, 26, 784, 32, 5459, 77, 36, 997, 668, 84, 12345, 6182, 225, 34, 27, 291, 630, 32, 5459, 77, 36, 997, 470, 10357, 440, 35, 36, 41, 32, 34, 32, 34, 32, 34, 33, 36, 38, 392, 313, 669, 657, 291, 1201, 81, 2228, 26, 1657, 26, 784, 32, 5459, 77, 36, 997, 668, 84, 12345, 6182, 225, 35, 27, 291, 1201, 81, 16708, 81, 49009, 3736, 36, 37, 30, 313, 2027, 33, 20319, 3425, 323, 12345, 392, 630, 32, 5459, 77, 36, 997, 470, 10357, 30, 313, 35, 36, 41, 32, 34, 32, 34, 32, 35, 392, 313, 669, 657, 291, 1201, 81, 16708, 81, 49009, 3736, 37, 34, 30, 313, 924, 44, 8073, 4600, 33, 20319, 392, 630, 32, 5459, 77, 36, 997, 470, 10357, 30, 313, 35, 36, 41, 32, 34, 32, 34, 32, 35, 33, 38, 36, 392, 313, 669, 657, 291, 1201, 81, 2228, 26, 1657, 26, 784, 32, 5459, 77, 36, 997, 668, 84, 12345, 6182, 225, 35, 27, 4456, 1201, 81, 16708, 81, 49009, 3736, 37, 34, 30, 313, 924, 44, 632, 1490, 278, 3803, 392, 630, 32, 5459, 77, 36, 997, 470, 10357, 30, 313, 35, 36, 41, 32, 34, 32, 34, 32, 35, 392, 313, 2546, 657, 291, 1201, 81, 2228, 26, 1657, 26, 784, 32, 5459, 77, 36, 997, 668, 84, 12345, 6182, 225, 35, 27, 291, 630, 32, 5459, 77, 36, 997, 470, 10357, 440, 35, 36, 41, 32, 34, 32, 34, 32, 34, 33, 36, 38, 392, 313, 2546, 657, 291, 1201, 81, 2228, 26, 1657, 26, 784, 32, 5459, 77, 36, 997, 668, 84, 12345, 6182, 225, 34, 27, 291, 630, 32, 5459, 77, 36, 997, 3815, 84, 12345, 346, 291, 1201, 81, 2228, 26, 1657, 26, 784, 32, 5459, 77, 36, 997, 668, 84, 12345, 6182, 225, 34, 27, 291, 630, 32, 5459, 77, 36, 997, 470, 10357, 440, 35, 36, 41, 32, 34, 32, 34, 32, 34, 33, 37, 36, 392, 313, 669, 657, 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, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 2, 2, 1, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 9, 9, 14, 13, 14, 12, 13, 12, 12, 12, 12, 11, 7, 8, 7, 4, 4, 9, 10, 8, 9, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 7, 7, 9, 9, 14, 13, 14, 12, 13, 12, 12, 12, 12, 11, 7, 8, 7, 4, 4, 7, 7, 7, 9, 9, 14, 13, 14, 12, 13, 12, 12, 12, 12, 11, 7, 8, 7, 4, 4, 9, 10, 8, 9, 8, 8, 8, 8, 7, 4, 4, 7, 7, 7, 9, 9, 14, 13, 14, 12, 13, 12, 12, 12, 12, 11, 7, 8, 7, 4, 4, 9, 10, 8, 9, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 4, 4, 7, 7, 7, 9, 9, 14, 13, 14, 12, 13, 12, 12, 12, 12, 11, 7, 8, 7, 4, 4, 7, 7, 7, 7, 7, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 7, 10, 11, 9, 10, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 4, 4, 7, 7, 7, 7, 7, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 7, 10, 11, 9, 10, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 4, 4, 7, 7, 7, 9, 9, 14, 13, 14, 12, 13, 12, 12, 12, 12, 11, 7, 8, 7, 4, 4, 7, 7, 7, 7, 7, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 7, 10, 11, 9, 10, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 4, 4, 7, 7, 7, 9, 9, 14, 13, 14, 12, 13, 12, 12, 12, 12, 11, 7, 8, 7, 4, 4, 9, 10, 8, 9, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 4, 4, 7, 7, 7, 9, 9, 14, 13, 14, 12, 13, 12, 12, 12, 12, 11, 7, 8, 7, 4, 4, 9, 10, 8, 9, 8, 8, 8, 8, 7, 4, 4, 7, 7, 7, 9, 9, 14, 13, 14, 12, 13, 12, 12, 12, 12, 11, 7, 8, 7, 4, 4, 9, 10, 8, 9, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 4 ]
[ 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 3, 3, 1, 1, 3, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4 ]
[ 1070, 312, 2548, 32, 1040, 32, 7584, 1188, 2299, 81, 5098, 203, 465, 8661, 42849, 1733, 619, 9396, 203, 1070, 3772, 1733, 1188, 3772, 1733, 203, 823, 10421, 1572, 1733, 26, 1761, 1733, 27, 499, 284, 477, 2493, 81, 5098, 3701, 665, 15042, 81, 464, 26, 784, 30, 617, 4687, 47, 2521, 711, 291, 20758, 720, 6020, 81, 4687, 32, 39121, 1365, 2548, 1446, 1717, 313, 9321, 464, 1446, 291, 442, 20758, 720, 30, 7453, 32, 2208, 81, 9321, 464, 284, 477, 2493, 81, 5098, 3701, 665, 15042, 81, 7236, 26, 784, 30, 1519, 30, 617, 4687, 47, 2521, 711, 291, 20758, 720, 6020, 81, 4687, 32, 39121, 1365, 2548, 1446, 1717, 313, 9321, 7236, 392, 5461, 101, 20, 904, 1519, 79, 291, 442, 20758, 720, 30, 7453, 32, 2208, 81, 9321, 7236, 284, 477, 2493, 81, 5098, 3701, 665, 15042, 81, 2944, 26, 784, 30, 1519, 30, 617, 4687, 47, 2521, 711, 291, 20758, 720, 6020, 81, 4687, 32, 39121, 1365, 2548, 1446, 1717, 313, 9321, 2944, 392, 4825, 983, 392, 5461, 101, 15860, 983, 79, 291, 442, 20758, 720, 30, 9396, 32, 2208, 81, 9321, 2944, 284, 477, 2493, 81, 5098, 3701, 665, 15042, 26, 784, 30, 1519, 30, 617, 4687, 47, 2521, 711, 291, 20758, 720, 6020, 81, 4687, 32, 39121, 1365, 2548, 1446, 1717, 313, 9321, 392, 4825, 983, 392, 5461, 101, 20, 904, 1519, 79, 291, 442, 20758, 720, 30, 9396, 32, 2208, 81, 9321, 284, 477, 2493, 81, 5098, 3701, 665, 622, 81, 3604, 81, 3376, 26, 784, 30, 3320, 81, 4018, 30, 617, 4687, 47, 2521, 711, 291, 20758, 720, 6020, 81, 4687, 32, 39121, 1365, 2548, 1446, 1717, 313, 105, 545, 1030, 1446, 291, 442, 20758, 720, 30, 9396, 32, 3978, 81, 3604, 81, 3376, 284, 477, 2493, 81, 5098, 3701, 665, 622, 81, 3376, 81, 17030, 26, 784, 30, 3320, 81, 4018, 30, 617, 4687, 47, 2521, 711, 291, 20758, 720, 6020, 81, 4687, 32, 39121, 1365, 2548, 1446, 1717, 313, 668, 17030, 1446, 291, 442, 20758, 720, 30, 9396, 32, 3978, 81, 3376, 81, 17030, 284, 477, 2493, 81, 5098, 3701, 665, 537, 81, 3376, 81, 7909, 26, 784, 30, 3320, 81, 4018, 30, 8813, 30, 617, 4687, 47, 2521, 711, 291, 20758, 720, 6020, 81, 4687, 32, 39121, 1365, 2548, 1446, 1717, 313, 890, 17030, 392, 4825, 7909, 20, 5461, 101, 20, 225, 904, 8813, 2360, 31, 426, 20, 904, 617, 4687, 32, 3376, 79, 291, 442, 20758, 720, 30, 7453, 32, 3978, 81, 3376, 81, 7909, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 3, 3, 0, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 1, 5, 5, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 7, 6, 7, 5, 4, 4, 8, 7, 11, 11, 10, 11, 9, 11, 11, 8, 8, 10, 10, 10, 5, 5, 6, 8, 7, 9, 8, 9, 9, 9, 9, 2, 2, 5, 5, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 7, 6, 7, 5, 4, 4, 8, 7, 11, 11, 10, 11, 9, 11, 11, 8, 8, 10, 10, 10, 8, 11, 11, 9, 9, 8, 5, 5, 6, 8, 7, 9, 8, 9, 9, 9, 9, 2, 2, 5, 5, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 7, 6, 7, 5, 4, 4, 8, 7, 11, 11, 10, 11, 9, 11, 11, 8, 8, 10, 10, 10, 8, 10, 10, 8, 11, 11, 10, 8, 5, 5, 6, 8, 7, 7, 8, 9, 9, 9, 9, 2, 2, 5, 5, 5, 3, 3, 4, 5, 6, 5, 5, 5, 5, 7, 6, 7, 5, 4, 4, 8, 7, 11, 11, 10, 11, 9, 11, 11, 8, 8, 10, 10, 8, 10, 10, 8, 11, 11, 9, 9, 8, 5, 5, 6, 8, 7, 7, 8, 9, 9, 9, 2, 2, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 7, 6, 7, 5, 4, 4, 8, 7, 11, 11, 10, 11, 9, 11, 11, 8, 8, 10, 10, 10, 10, 5, 5, 6, 8, 7, 7, 8, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 7, 6, 7, 5, 4, 4, 8, 7, 11, 11, 10, 11, 9, 11, 11, 8, 8, 10, 10, 10, 5, 5, 6, 8, 7, 7, 8, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 5, 5, 7, 6, 7, 5, 4, 4, 8, 7, 11, 11, 10, 11, 9, 11, 11, 8, 8, 10, 10, 10, 8, 12, 12, 10, 12, 12, 9, 9, 9, 8, 11, 11, 11, 9, 9, 11, 10, 11, 8, 5, 5, 6, 8, 7, 9, 8, 9, 9, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 1, 1, 2, 1, 1, 2, 3, 3, 3, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 4, 4, 1, 0, 1, 0, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 5, 5, 2, 4, 4, 1, 0, 1, 0, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 4, 4, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 3, 3, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 7, 7, 2, 4, 4, 1, 0, 1, 1, 2, 2, 2, 2, 4, 4, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 0, 5, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 0, 5, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 4, 4, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 0, 7, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 5, 5, 5, 2, 1, 1, 2, 7, 7, 0, 2, 2, 2, 4, 4, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 1070, 8527, 32, 2304, 32, 18218, 1188, 2464, 203, 1070, 6109, 81, 2846, 1188, 34281, 203, 1070, 456, 874, 32, 11025, 7491, 32, 6967, 81, 8397, 32, 3378, 1188, 3859, 16602, 12055, 18808, 30, 45779, 18808, 30, 25826, 18808, 203, 1070, 638, 3378, 1188, 2680, 14371, 203, 823, 2680, 7262, 26, 34243, 32, 20562, 11128, 1243, 7262, 711, 284, 636, 280, 34281, 32, 7262, 1868, 1176, 346, 284, 23340, 280, 34281, 32, 7262, 1868, 1176, 346, 284, 665, 622, 81, 426, 26, 784, 30, 1256, 711, 291, 442, 1256, 32, 3959, 32, 426, 284, 665, 622, 81, 426, 81, 272, 26, 784, 30, 1256, 711, 291, 442, 1256, 32, 3959, 32, 426, 81, 272, 284, 665, 622, 81, 22583, 26, 784, 30, 1256, 711, 291, 442, 2680, 14371, 32, 371, 81, 464, 81, 22583, 26, 496, 27, 284, 443, 11985, 26, 1473, 711, 291, 1542, 280, 2680, 291, 3829, 280, 2884, 314, 392, 313, 965, 392, 313, 1935, 392, 313, 426, 392, 313, 699, 392, 313, 22583, 657, 291, 1491, 81, 2585, 81, 4151, 280, 2884, 314, 392, 313, 1935, 392, 313, 699, 657, 203, 823, 2680, 14371, 7262, 26, 34243, 32, 20562, 11128, 1243, 7262, 711, 284, 1256, 280, 2680, 7262, 346, 284, 443, 11985, 26, 1473, 711, 291, 1542, 280, 2680, 14371, 291, 7713, 280, 225, 35, 291, 3829, 280, 2726, 496, 370, 330, 678, 370, 330, 853, 370, 330, 965, 683, 203, 823, 16289, 1240, 14371, 7262, 26, 34243, 32, 1243, 7262, 711, 284, 1256, 280, 34281, 32, 18945, 14903, 1176, 26, 37741, 47, 1240, 32, 5740, 32, 464, 1157, 284, 443, 11985, 26, 1473, 711, 291, 1542, 280, 2680, 14371, 291, 7713, 280, 225, 35, 291, 3829, 280, 2726, 496, 370, 330, 678, 370, 330, 853, 370, 330, 965, 683, 203, 823, 23355, 4140, 7262, 13976, 26, 1473, 711, 284, 477, 17614, 284, 665, 622, 81, 850, 81, 2585, 81, 4151, 26, 6933, 711, 291, 442, 18623, 26, 6933, 32, 4232, 30, 330, 850, 81, 2585, 81, 4151, 370, 9142, 474, 18623, 26, 6933, 32, 4232, 30, 330, 18617, 81, 850, 81, 2585, 81, 4151, 370, 9142, 284, 477, 17614, 284, 665, 622, 81, 1821, 444, 81, 4151, 26, 6933, 711, 291, 1169, 81, 4151, 280, 18623, 26, 6933, 32, 4232, 30, 330, 4151, 370, 8825, 1157, 291, 442, 8825, 26, 470, 26, 464, 81, 4151, 27, 429, 739, 26, 6933, 32, 371, 81, 850, 81, 2585, 81, 4151, 5156, 203, 823, 25243, 26223, 7262, 26, 34243, 32, 7262, 711, 10065, 1133, 81, 5634, 280, 34281, 32, 16357, 346, 284, 3048, 280, 34281, 32, 16357, 346, 203, 823, 2484, 18808, 7262, 26, 34243, 32, 1243, 7262, 711, 284, 438, 81, 19640, 280, 34281, 32, 7262, 1868, 1176, 346, 284, 665, 622, 81, 297, 81, 19640, 26, 784, 30, 2830, 711, 291, 442, 2830, 32, 1517, 610, 330, 23924, 25, 461, 2830, 32, 26923, 81, 6665, 848, 2464, 346, 203, 823, 3859, 16602, 12055, 18808, 7262, 26, 779, 18808, 7262, 711, 284, 443, 11985, 26, 1473, 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, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 2, 2, 4, 3, 4, 4, 4, 4, 2, 1, 1, 4, 4, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 4, 4, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 4, 2, 1, 1, 4, 4, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 7, 4, 4, 6, 6, 7, 4, 4, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 4, 4, 6, 7, 7, 7, 6, 8, 7, 11, 10, 11, 9, 10, 9, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 7, 4, 4, 6, 6, 7, 4, 4, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 9, 11, 10, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 7, 7, 9, 11, 10, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 7, 7, 9, 11, 10, 11, 9, 9, 11, 11, 9, 11, 5, 5, 6, 8, 11, 11, 12, 12, 12, 11, 9, 9, 11, 14, 13, 14, 14, 14, 14, 14, 14, 14, 13, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 7, 7, 9, 9, 6, 6, 8, 9, 9, 9, 7, 7, 9, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 3, 3, 0, 1, 2, 2, 1, 4, 4, 4, 1, 6, 3, 3, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 1, 2, 0, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 2, 1, 2, 2, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 5, 2, 1, 2, 5, 5, 0, 0, 4, 4, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 6, 6, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 6, 6, 0, 0, 0, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 7, 7, 1, 1, 1, 2, 0, 1, 2, 2, 2, 7, 7, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 9, 9, 1, 1, 2, 0, 1, 2, 2, 9, 9, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 10, 10, 1, 1, 2, 0, 1, 2, 2, 2, 10, 10, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 11, 11, 1, 1, 1, 1, 2, 1, 1, 1, 2, 11, 11, 0, 2, 1, 2, 0 ]
[ 465, 5237, 30, 2322, 203, 465, 622, 2215, 203, 1070, 6234, 1188, 319, 203, 1270, 44, 284, 645, 23615, 91, 32, 2458, 95, 1152, 826, 1188, 319, 203, 7343, 44, 284, 5237, 32, 983, 32, 1689, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 35490, 26, 500, 32, 983, 32, 7781, 4064, 761, 505, 3662, 6297, 1356, 33, 2958, 2847, 284, 645, 816, 12318, 1152, 826, 1188, 319, 203, 589, 6886, 2262, 284, 1459, 313, 93, 32911, 31, 2714, 428, 10528, 79, 769, 1141, 47, 8750, 20, 284, 1459, 330, 5297, 25, 284, 1459, 3228, 4692, 32911, 31, 2714, 769, 2035, 47, 35, 43, 36, 32, 35, 40, 42, 32, 34, 32, 35, 769, 625, 47, 43, 41, 41, 41, 769, 1141, 347, 28751, 14891, 284, 1459, 313, 2031, 20, 284, 1459, 2706, 102, 31, 11155, 769, 4756, 78, 102, 78, 102, 78, 102, 12542, 18002, 973, 458, 1474, 20, 284, 1459, 2706, 102, 287, 2035, 47, 8472, 78, 102, 78, 102, 78, 102, 21052, 2769, 35733, 372, 5008, 372, 308, 1536, 47, 5007, 4731, 284, 1459, 2706, 102, 287, 625, 47, 3624, 78, 102, 78, 102, 78, 102, 21052, 2769, 15881, 372, 5008, 372, 308, 1536, 47, 43, 41, 41, 41, 4731, 284, 1459, 3228, 102, 287, 1141, 47, 8750, 78, 102, 78, 102, 78, 102, 69, 1494, 600, 2125, 372, 1593, 52, 6600, 30, 458, 2470, 883, 526, 3640, 4609, 6496, 372, 1487, 312, 13296, 25, 284, 3097, 203, 589, 2575, 2262, 284, 1596, 44, 291, 6410, 30, 2181, 280, 622, 2215, 32, 30226, 26, 3731, 32, 6118, 77, 35, 23751, 25687, 4535, 44, 104, 392, 3037, 4756, 392, 313, 2035, 12614, 313, 625, 12614, 313, 1141, 347, 1130, 284, 2940, 622, 2215, 32, 936, 2215, 924, 30, 1137, 44, 291, 1459, 596, 26, 530, 27, 4456, 6886, 346, 291, 5237, 32, 4775, 26, 36, 27, 284, 4749, 280, 313, 5007, 20, 284, 2601, 280, 225, 43, 41, 41, 41, 284, 6885, 280, 1605, 284, 9541, 280, 3177, 284, 436, 337, 30, 312, 328, 6410, 44, 291, 415, 337, 328, 2884, 31, 14206, 7915, 4756, 10280, 324, 6886, 346, 324, 5237, 32, 4775, 346, 291, 4348, 337, 610, 7915, 2035, 563, 324, 4749, 280, 312, 291, 4348, 337, 610, 7915, 625, 563, 324, 2601, 280, 629, 26, 83, 27, 291, 4348, 337, 328, 2884, 31, 83, 392, 7915, 1141, 10280, 324, 6885, 32, 1689, 26, 83, 27, 291, 813, 44, 324, 1201, 3177, 30, 313, 311, 15214, 2470, 20, 284, 8705, 280, 308, 639, 30, 2601, 27, 284, 13363, 280, 6234, 26, 5995, 81, 21399, 30, 30492, 81, 54, 15693, 27, 284, 415, 2069, 26, 3543, 27, 438, 225, 34, 44, 291, 6886, 346, 291, 5237, 32, 4775, 26, 34, 27, 284, 436, 2125, 328, 6885, 44, 291, 1459, 330, 28149, 2125, 12454, 2125, 291, 6882, 280, 18730, 8750, 26, 1141, 1436, 47, 1141, 30, 2125, 681, 47, 8750, 81, 15001, 27, 291, 6882, 32, 2714, 26, 9184, 30, 8705, 27, 203, 325, 1156, 426, 505, 11490, 505, 1831, 18018, 284, 2575, 346, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 5, 4, 5, 5, 5, 5, 3, 3, 1, 2, 2, 2, 2, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 14, 13, 14, 12, 13, 12, 13, 13, 12, 8, 10, 10, 10, 10, 3, 3, 4, 6, 6, 6, 4, 4, 0, 1, 1, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 2, 2, 3, 6, 5, 5, 5, 5, 5, 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, 5, 5, 2, 2, 3, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 2, 2, 3, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 0, 1, 1, 2, 1, 1, 3, 3, 3, 7, 7, 6, 6, 9, 8, 9, 8, 11, 10, 11, 9, 11, 10, 8, 10, 10, 10, 10, 8, 11, 11, 9, 11, 11, 9, 11, 11, 9, 11, 11, 9, 3, 3, 4, 6, 5, 6, 6, 6, 4, 4, 4, 4, 4, 6, 8, 9, 8, 5, 5, 8, 5, 5, 8, 9, 8, 9, 8, 2, 2, 4, 4, 6, 6, 2, 2, 4, 4, 5, 5, 5, 5, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 6, 6, 9, 9, 7, 9, 9, 5, 5, 9, 6, 6, 9, 10, 9, 5, 5, 6, 7, 7, 9, 9, 6, 6, 9, 9, 5, 5, 6, 7, 7, 9, 9, 6, 6, 9, 9, 11, 12, 11, 5, 5, 6, 7, 7, 10, 10, 10, 8, 10, 10, 6, 6, 10, 11, 10, 11, 10, 5, 5, 6, 6, 6, 8, 8, 8, 10, 10, 10, 10, 2, 2, 4, 4, 6, 5, 5, 5, 2, 2, 4, 4, 6, 7, 7, 7, 6, 7, 7, 7, 7, 6, 2, 2, 3, 6, 7, 6, 4, 4, 5, 3, 3, 3, 7, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 3, 3, 3, 3, 3, 5, 7, 7, 7, 5, 4, 4, 6, 6, 8, 8, 10, 10, 9, 10, 8, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 8, 7, 7, 7, 0, 1, 1, 3, 3, 2, 4, 4, 4, 1, 1, 5, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 0, 1, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 3, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 4, 4, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 2, 4, 4, 2, 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, 4, 4, 3, 1, 2, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 1, 2, 4, 4, 5, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 5, 5, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 5, 1, 1, 5, 1, 1, 5, 1, 1, 5, 0, 0, 3, 0, 1, 2, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 1, 5, 5, 1, 5, 5, 0, 2, 1, 1, 1, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 5, 1, 1, 5, 5, 5, 5, 5, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 3, 3, 0, 2, 1, 0, 0, 4, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 5, 1, 1, 1, 2, 5, 5, 0, 0, 1, 1, 1, 0, 0, 6, 1, 1, 1, 1, 2, 2, 1, 2, 6, 6, 0, 2, 1, 1, 1, 0, 0, 7, 7, 7, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 8, 1, 1, 1, 1, 1, 2, 8, 8, 8, 1, 3, 3, 0, 2, 1, 1, 1, 4, 4, 9, 9, 9, 9, 9, 9, 0, 1, 1, 1, 0, 5, 5, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 3, 2, 2, 2, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 1, 0, 0, 0, 0 ]
[ 465, 2322, 30, 5237, 45, 5237, 32, 983, 32, 3215, 26, 34, 30, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 27203, 392, 27203, 2131, 203, 1070, 5257, 32, 1903, 1188, 3233, 30, 48280, 30, 1709, 1889, 203, 1070, 5257, 32, 272, 262, 1188, 880, 470, 972, 203, 979, 296, 5729, 328, 2884, 48217, 392, 313, 94, 2801, 392, 313, 1804, 28784, 392, 313, 1804, 486, 431, 335, 392, 313, 864, 7059, 905, 10280, 284, 48280, 32, 1689, 26, 41453, 30, 827, 347, 41453, 657, 203, 1216, 48280, 32, 4915, 440, 41453, 657, 203, 1216, 48280, 32, 19277, 440, 48217, 657, 203, 1216, 48280, 32, 34913, 440, 48217, 657, 225, 203, 1216, 203, 102, 280, 880, 470, 972, 440, 51, 1600, 432, 8400, 343, 5101, 431, 18314, 4414, 999, 2840, 401, 47, 1815, 27, 203, 95, 280, 3233, 440, 18118, 527, 392, 273, 27, 203, 1216, 273, 203, 1216, 345, 203, 1216, 203, 28274, 32, 1689, 440, 380, 21217, 392, 827, 347, 18365, 657, 203, 28274, 32, 1689, 440, 380, 21217, 392, 827, 347, 21254, 657, 203, 28274, 32, 1689, 440, 24875, 103, 266, 392, 827, 347, 21254, 657, 203, 28274, 32, 1689, 440, 21254, 392, 827, 347, 28646, 657, 203, 1216, 48280, 32, 19277, 440, 380, 21217, 657, 203, 1216, 48280, 32, 4915, 440, 28646, 392, 18581, 47, 1815, 27, 203, 1216, 3233, 440, 1362, 5455, 392, 313, 59, 3464, 484, 1741, 663, 21217, 7144, 203, 1216, 203, 28274, 32, 1689, 440, 5910, 354, 13820, 392, 827, 347, 41627, 2664, 657, 203, 28274, 32, 1689, 440, 9904, 392, 827, 347, 41627, 2664, 657, 203, 102, 280, 880, 470, 972, 440, 23822, 745, 844, 2124, 1829, 30, 4017, 41199, 30, 556, 16513, 44917, 203, 95, 280, 3233, 440, 13357, 37286, 81, 12882, 392, 273, 27, 203, 1216, 273, 203, 1216, 345, 203, 1216, 345, 77, 34, 997, 913, 283, 7245, 101, 346, 203, 1216, 203, 589, 2290, 81, 19277, 26, 1112, 711, 284, 415, 3594, 32, 15990, 26146, 4229, 2322, 392, 313, 5910, 392, 313, 9904, 2131, 44, 291, 442, 3037, 41627, 2664, 1446, 203, 85, 280, 1709, 1889, 26, 19277, 47, 1809, 81, 19277, 27, 203, 28274, 32, 823, 6667, 32, 1689, 26, 85, 27, 203, 102, 280, 880, 470, 972, 440, 59, 2124, 9489, 6642, 1593, 225, 35, 34, 32, 39, 6085, 2784, 4017, 32020, 556, 16513, 7144, 203, 95, 280, 3233, 440, 13357, 37286, 81, 12882, 392, 273, 27, 203, 1216, 273, 203, 1216, 345, 203, 1216, 345, 77, 34, 997, 913, 283, 7245, 101, 346, 203, 1216, 345, 77, 35, 997, 913, 283, 7245, 101, 346, 203, 1216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 4, 5, 3, 4, 3, 4, 3, 3, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 5, 7, 5, 7, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 3, 3, 0, 1, 1, 2, 1, 1, 4, 4, 2, 4, 4, 4, 2, 4, 4, 4, 2, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 1, 1, 5, 6, 5, 6, 5, 5, 6, 8, 8, 0, 1, 1, 3, 4, 3, 5, 5, 0, 1, 1, 3, 4, 3, 5, 5, 0, 1, 1, 3, 4, 3, 5, 5, 0, 0, 2, 0, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 5, 6, 4, 0, 3, 2, 2, 4, 6, 6, 6, 4, 4, 0, 1, 1, 0, 1, 1, 0, 2, 0, 4, 3, 4, 3, 5, 5, 5, 3, 4, 6, 6, 0, 4, 3, 4, 3, 5, 5, 5, 3, 4, 6, 6, 0, 4, 3, 4, 3, 5, 5, 5, 5, 3, 4, 6, 6, 0, 4, 3, 4, 3, 5, 5, 3, 4, 6, 6, 0, 1, 1, 3, 4, 3, 5, 5, 5, 0, 1, 1, 3, 4, 3, 5, 5, 3, 4, 5, 3, 0, 1, 1, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 0, 2, 0, 4, 3, 4, 3, 5, 5, 5, 5, 3, 4, 6, 6, 6, 0, 4, 3, 4, 3, 5, 5, 3, 4, 6, 6, 6, 0, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 4, 6, 6, 6, 6, 6, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 5, 4, 4, 4, 4, 4, 3, 0, 2, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 8, 8, 8, 6, 8, 8, 6, 8, 8, 3, 3, 3, 5, 8, 8, 8, 0, 3, 2, 2, 4, 4, 6, 5, 6, 6, 6, 4, 0, 5, 4, 5, 5, 3, 4, 3, 4, 3, 0, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 4, 6, 6, 6, 6, 6, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 5, 4, 4, 4, 4, 4, 3, 0, 1, 1, 4, 5, 4, 4, 4, 4, 4, 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, 1, 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, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 3, 3, 1, 2, 3, 3, 3, 3, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 4, 0, 0, 0, 5, 5, 1, 5, 5, 1, 2, 3, 1, 1, 2, 3, 1, 1, 2, 3, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 5, 5, 0, 2, 1, 1, 1, 1, 3, 1, 2, 0, 6, 6, 0, 2, 1, 1, 2, 0, 7, 7, 0, 2, 1, 1, 2, 0, 8, 8, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 12, 12, 0, 13, 13, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 2, 0, 19, 19, 0, 2, 1, 1, 1, 2, 0, 20, 20, 0, 2, 1, 1, 2, 1, 3, 2, 1, 0, 21, 21, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 27, 27, 0, 28, 28, 0, 29, 29, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 31, 31, 1, 1, 2, 1, 2, 31, 31, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 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, 2, 1, 1, 0, 36, 36, 0, 37, 37, 0, 38, 38, 0, 2, 0, 2, 2, 2, 2, 1, 0, 39, 39, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 7976, 81, 465, 30, 1459, 81, 1126, 203, 465, 13625, 203, 465, 6436, 619, 2065, 203, 1070, 6436, 1188, 5045, 30, 619, 4873, 30, 323, 1287, 203, 1070, 6436, 32, 4266, 1188, 308, 284, 19205, 30, 1420, 81, 1647, 81, 9089, 30, 1201, 3739, 1201, 81, 2228, 30, 1201, 81, 37368, 81, 2228, 30, 284, 1201, 81, 955, 81, 2228, 30, 1201, 81, 955, 81, 37368, 81, 2228, 30, 1201, 81, 16708, 203, 27, 203, 1070, 6436, 32, 4873, 1356, 32, 589, 4873, 1188, 5045, 81, 7370, 203, 1070, 6436, 32, 4873, 1356, 1188, 2491, 203, 823, 2108, 30092, 26, 7233, 711, 284, 665, 894, 81, 6390, 26, 784, 711, 291, 399, 280, 2065, 32, 955, 21145, 35, 30, 225, 36, 614, 428, 37, 30, 225, 38, 13138, 291, 345, 51, 280, 5045, 26, 51, 27, 291, 1201, 5908, 2356, 32, 464, 26, 44799, 32, 51, 610, 399, 490, 291, 551, 280, 323, 1287, 440, 51, 30, 51, 45, 51, 30, 51, 657, 291, 390, 280, 323, 1287, 21145, 51, 30, 399, 614, 428, 51, 30, 399, 13138, 291, 475, 280, 2065, 32, 955, 21145, 35, 30, 225, 36, 30, 225, 35, 30, 225, 36, 614, 2855, 428, 37, 30, 225, 38, 30, 225, 37, 30, 225, 38, 614, 2855, 428, 35, 30, 225, 36, 30, 225, 35, 30, 225, 36, 614, 2855, 428, 37, 30, 225, 38, 30, 225, 37, 30, 225, 38, 13138, 291, 1201, 5908, 2356, 32, 464, 26, 52, 32, 51, 610, 475, 490, 291, 1201, 5908, 2356, 32, 464, 26, 53, 32, 51, 610, 475, 490, 291, 516, 280, 2065, 32, 955, 21145, 39, 30, 225, 40, 614, 428, 41, 30, 225, 42, 13138, 291, 38342, 1267, 280, 5045, 21145, 35, 30, 225, 36, 30, 225, 39, 30, 225, 40, 614, 428, 37, 30, 225, 38, 30, 225, 41, 30, 225, 42, 13138, 291, 1201, 5908, 2356, 32, 464, 26, 84, 1287, 2009, 51, 30, 516, 1130, 610, 38342, 1267, 490, 291, 4712, 280, 2065, 32, 16251, 26, 39, 27, 291, 345, 3137, 280, 5045, 26, 3137, 27, 291, 1201, 5908, 95, 3137, 32, 3229, 610, 308, 35, 30, 225, 39, 490, 284, 665, 894, 81, 11452, 26, 784, 711, 291, 1201, 81, 16708, 26, 18082, 30, 5045, 30, 313, 5790, 657, 284, 665, 894, 81, 84, 1287, 81, 3780, 1536, 81, 466, 26, 784, 711, 291, 399, 280, 2065, 32, 955, 21145, 35, 30, 225, 36, 614, 428, 37, 30, 225, 38, 13138, 291, 551, 280, 2065, 32, 955, 21145, 39, 30, 225, 40, 614, 428, 41, 30, 225, 42, 13138, 291, 399, 1267, 280, 2065, 32, 955, 21145, 35, 30, 225, 36, 30, 225, 35, 30, 225, 36, 614, 1014, 428, 37, 30, 225, 38, 30, 225, 37, 30, 225, 38, 614, 1014, 428, 35, 30, 225, 36, 30, 225, 35, 30, 225, 36, 614, 1014, 428, 37, 30, 225, 38, 30, 225, 37, 30, 225, 38, 13138, 291, 11631, 1267, 280, 2065, 32, 955, 21145, 35, 30, 225, 36, 30, 225, 39, 30, 225, 40, 614, 4985 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 7, 10, 9, 10, 9, 12, 11, 12, 10, 10, 9, 4, 4, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 8, 11, 10, 10, 10, 9, 11, 10, 10, 10, 4, 4, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 4, 4, 7, 10, 9, 10, 9, 12, 11, 12, 10, 10, 9, 4, 4, 7, 10, 9, 10, 9, 12, 11, 12, 10, 10, 9, 4, 4, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 4, 4, 7, 6, 6, 8, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 4, 4, 7, 10, 9, 10, 9, 12, 12, 12, 14, 13, 13, 13, 10, 10, 11, 9, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 7, 10, 10, 9, 10, 8, 8, 10, 9, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 8, 7, 7, 7, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 4, 4, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 4, 4, 7, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 4, 4, 7, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 5, 5, 1, 2, 2, 1, 4, 4, 5, 5, 0, 0, 0, 6, 6, 1, 2, 2, 6, 6, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 1, 1, 1, 5, 5, 3, 5, 5, 5, 5, 5, 7, 5, 1, 1, 1, 7, 7, 3, 7, 7, 5, 7, 7, 7, 7, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 4, 4, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 3, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 1, 1, 1, 5, 5, 3, 5, 5, 5, 5, 5, 7, 5, 1, 1, 1, 7, 7, 3, 7, 7, 5, 7, 7, 7, 7, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1 ]
[ 1070, 35094, 1188, 1974, 81, 5098, 203, 1070, 7138, 1188, 7138, 30, 30784, 203, 1070, 10381, 93, 39583, 32, 525, 1188, 4808, 81, 5959, 81, 24916, 30, 766, 275, 3185, 81, 7494, 81, 2111, 30, 3185, 81, 2613, 81, 2435, 81, 2111, 30, 3185, 81, 364, 1414, 30, 766, 275, 3185, 81, 770, 30, 4450, 81, 32520, 30, 438, 81, 3142, 81, 10454, 30, 707, 7345, 81, 32520, 30, 766, 275, 15358, 81, 32520, 30, 3185, 81, 470, 81, 2111, 30, 3185, 81, 15194, 81, 2111, 30, 766, 275, 3185, 81, 1499, 81, 22053, 81, 2111, 30, 3345, 81, 2225, 81, 5078, 30, 766, 275, 3185, 81, 2184, 81, 2111, 30, 10128, 81, 2184, 81, 2111, 30, 1913, 81, 770, 30, 766, 275, 3185, 81, 325, 81, 3585, 81, 2111, 30, 3185, 81, 9534, 30, 10128, 81, 9534, 30, 766, 275, 3185, 81, 3585, 81, 2111, 30, 3185, 81, 1286, 81, 3585, 81, 2111, 30, 10128, 81, 2111, 203, 1070, 10381, 93, 39583, 32, 11400, 1188, 1984, 81, 5460, 30, 595, 344, 81, 452, 81, 3423, 30, 1984, 81, 2524, 203, 1070, 10381, 93, 39583, 32, 979, 317, 282, 509, 1188, 33274, 2825, 30, 1244, 81, 2238, 81, 5792, 203, 1070, 10381, 93, 39583, 32, 2304, 1188, 10814, 81, 2433, 30, 16277, 81, 2433, 30, 766, 275, 3338, 81, 2433, 30, 622, 81, 1286, 81, 681, 203, 1070, 10381, 93, 39583, 32, 46674, 1188, 622, 81, 1700, 81, 965, 30, 622, 81, 2035, 30, 766, 275, 19414, 5731, 30, 622, 81, 1131, 81, 2238, 30, 622, 81, 1286, 81, 1322, 203, 1070, 10381, 93, 39583, 32, 605, 25078, 1188, 10473, 7167, 30, 2764, 10804, 6221, 7167, 30, 19344, 30, 766, 275, 2556, 2341, 6267, 30, 12932, 6221, 7167, 30, 12932, 620, 14350, 7167, 30, 766, 275, 29667, 30, 28124, 7071, 30, 47048, 7071, 30, 6633, 7071, 30, 766, 275, 5170, 2597, 2422, 30, 4448, 2597, 2422, 30, 14720, 7167, 30, 766, 275, 6256, 3198, 30, 3850, 81, 6844, 81, 3028, 203, 1070, 10381, 93, 39583, 1114, 3259, 1188, 617, 371, 81, 12757, 203, 1070, 10381, 93, 39583, 1114, 8524, 1188, 372, 81, 3651, 30, 802, 81, 2516, 30, 1344, 81, 681, 30, 766, 275, 4991, 81, 2516, 30, 341, 25673, 81, 286, 3205, 81, 86, 723, 30, 341, 25673, 81, 371, 81, 3651, 30, 766, 275, 372, 81, 9941, 30, 372, 81, 3723, 30, 18394, 2338, 203, 589, 617, 1945, 81, 46674, 81, 725, 2740, 1132, 711, 284, 3649, 617, 1945, 81, 46674, 81, 725, 284, 645, 10381, 93, 39583, 32, 858, 1188, 1420, 81, 46674, 81, 725, 619, 617, 1945, 81, 46674, 81, 725, 284, 442, 617, 1945, 81, 46674, 81, 725, 2740, 1132, 27, 203, 589, 617, 8447, 81, 325, 81, 800, 26, 27816, 711, 284, 415, 6937, 26, 27816, 30, 802, 81, 2516, 711, 291, 645, 11685, 1188, 17161, 291, 17161, 26, 5711, 463, 1986, 27182, 1597, 739, 372, 312, 802, 32, 225, 1348, 12929, 330, 3486, 330, 452, 1389, 1273, 6058, 688, 322, 2145, 1098, 3240, 322, 330, 3486, 330, 605, 372, 322, 2043, 1351, 30, 810, 1351 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 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, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 2, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 2, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 2, 2, 3, 5, 5, 4, 5, 3, 3, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 6, 6, 5, 3, 3, 5, 5, 5, 4, 4, 7, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 5, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 12, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 21, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 28, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 33, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 40, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 47, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 0, 1, 2, 2, 2, 2, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 7, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 7, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 0, 1, 2, 2, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 9, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 16, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 25, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 32, 7, 0, 7, 7, 0, 0, 0, 0, 0, 8, 8, 0, 0, 1, 2, 8, 8, 0, 0, 0, 0, 9, 9, 0, 0, 1, 2, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 16, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 10, 10, 1, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 4, 4, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 11, 11, 1, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 3, 3, 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 ]
[ 465, 5741, 203, 465, 5167, 203, 1070, 3145, 378, 332, 32, 3527, 32, 3435, 81, 3840, 1188, 308, 284, 47729, 81, 8995, 81, 25985, 30, 47729, 81, 48731, 30, 47729, 81, 43779, 81, 25985, 30, 284, 47729, 81, 70, 7811, 81, 6664, 30, 47729, 81, 70, 7811, 81, 567, 30, 47729, 81, 33593, 81, 2695, 30, 9821, 3505, 3033, 27, 203, 1070, 3145, 378, 332, 32, 913, 1188, 308, 284, 14558, 81, 29617, 30, 14558, 81, 6664, 30, 14558, 81, 9607, 9208, 30, 14558, 81, 9994, 1392, 30, 14558, 81, 635, 927, 48717, 30, 284, 14558, 81, 14174, 27, 203, 14144, 81, 1818, 8548, 72, 280, 47729, 81, 48731, 523, 766, 284, 47729, 81, 70, 7811, 81, 567, 523, 47729, 81, 70, 7811, 81, 6664, 523, 47729, 81, 43779, 81, 25985, 523, 766, 284, 47729, 81, 8995, 81, 25985, 523, 47729, 81, 33593, 81, 2695, 203, 16799, 280, 330, 5704, 7598, 25, 203, 10539, 81, 4613, 81, 2413, 280, 330, 525, 45268, 34, 3188, 13204, 33, 668, 25, 203, 10539, 81, 6103, 81, 2413, 280, 330, 525, 45268, 34, 3188, 13204, 33, 1293, 5263, 35, 8129, 203, 10539, 81, 8750, 81, 2413, 280, 330, 525, 45268, 34, 3188, 13204, 33, 1141, 5263, 35, 15117, 36, 8129, 203, 81, 22228, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 589, 4705, 81, 5134, 26, 31667, 30, 1359, 30, 1015, 81, 13204, 30, 21067, 81, 1338, 47, 2521, 711, 284, 3408, 280, 1359, 32, 371, 463, 2035, 370, 330, 5007, 44, 39, 39, 39, 40, 683, 284, 3298, 81, 314, 280, 1359, 32, 371, 463, 2929, 370, 330, 1536, 683, 284, 1596, 44, 291, 1789, 280, 5167, 32, 371, 26, 10539, 81, 4613, 81, 2413, 32, 1643, 26, 2035, 3427, 1260, 346, 291, 415, 3298, 81, 314, 328, 1789, 710, 13204, 5695, 3494, 2262, 324, 1015, 81, 13204, 2009, 400, 9566, 16481, 3033, 26, 528, 3408, 30, 528, 3298, 81, 314, 30, 528, 1359, 32, 371, 463, 426, 370, 330, 20086, 9566, 27205, 683, 400, 829, 324, 8834, 324, 617, 22228, 32, 1338, 26, 400, 330, 3033, 904, 101, 17771, 461, 8753, 436, 3498, 370, 3298, 81, 314, 27, 291, 813, 44, 324, 617, 22228, 32, 5691, 26, 400, 330, 3033, 904, 101, 438, 646, 10416, 623, 8379, 7598, 31, 1786, 370, 3298, 81, 314, 27, 284, 2940, 5167, 32, 11452, 32, 43657, 44, 291, 617, 22228, 32, 731, 463, 9752, 646, 5008, 372, 8379, 7598, 31, 1786, 821, 904, 101, 370, 3408, 27, 203, 823, 9566, 16481, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3408, 30, 3298, 81, 314, 711, 291, 630, 32, 2035, 280, 3408, 291, 630, 32, 2929, 81, 314, 280, 3298, 81, 314, 284, 477, 2433, 284, 665, 1603, 26, 784, 711, 291, 1596, 44, 324, 1789, 280, 5167, 32, 371, 26, 400, 34062, 81, 6103, 81, 2413, 32, 1643, 26, 528, 630, 32, 2035, 30, 528, 630, 32, 2929, 81, 314, 528, 829, 400, 6804, 1260, 346, 324, 442, 1789, 32, 371, 463, 1293, 370, 14558, 81, 14174, 27, 291, 2940, 5167, 32, 11452, 32, 43657, 44 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 3, 2, 2, 8, 8, 7, 7, 8, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 5, 5, 6, 6, 6, 6, 4, 4, 5, 4, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 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, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 6, 8, 8, 2, 2, 3, 3, 3, 6, 6, 10, 11, 10, 13, 13, 13, 13, 13, 12, 13, 12, 13, 12, 9, 8, 4, 4, 5, 7, 7, 6, 6, 9, 11, 11, 9, 8, 5, 5, 9, 9, 9, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 12, 12, 12, 14, 15, 14, 16, 16, 14, 16, 16, 16, 16, 12, 12, 10, 10, 6, 6, 10, 9, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 10, 10, 9, 5, 5, 6, 6, 6, 11, 10, 11, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 11, 10, 3, 3, 4, 6, 7, 5, 6, 4, 4, 4, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 0, 1, 1, 2, 2, 3, 2, 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, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 6, 6, 9, 9, 13, 14, 13, 13, 13, 16, 16, 16, 16, 15, 16, 15, 15, 15, 16, 17, 15, 15, 15, 16, 17, 17, 17, 15, 15, 13, 13, 12, 11, 7, 7, 8, 10, 11, 10, 12, 12, 10, 11, 11, 10, 6, 6, 7, 9, 10, 8, 9, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 4, 4, 4, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 3, 3, 0, 0, 1, 2, 3, 3, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 3, 3, 3, 3, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 10, 10, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 0, 0, 7, 2, 2, 10, 10, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 2, 3, 0, 2, 1, 2, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 11, 11, 1, 2, 1, 2, 11, 11, 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, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 3, 3, 1, 0, 0, 3, 0, 2, 1, 2, 3 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 1070, 28520, 1188, 12388, 619, 390, 203, 1070, 28520, 32, 4275, 1188, 35603, 924, 30, 35603, 2825, 924, 203, 1070, 28520, 32, 48646, 32, 4890, 1188, 9957, 30, 5692, 2212, 203, 1270, 44, 284, 645, 1156, 1831, 505, 1188, 2503, 203, 7343, 29986, 44, 284, 645, 28520, 32, 2304, 32, 2751, 1188, 8525, 284, 2503, 280, 8525, 346, 203, 823, 4261, 3749, 44, 284, 617, 864, 3749, 2850, 280, 5692, 2212, 26, 13629, 1057, 2420, 683, 284, 617, 864, 3749, 81, 1959, 958, 280, 5692, 2212, 26, 13629, 1057, 800, 683, 284, 617, 864, 3749, 81, 496, 263, 280, 5692, 2212, 26, 13629, 1057, 800, 683, 284, 617, 864, 3749, 81, 4545, 351, 280, 5692, 2212, 26, 13629, 1057, 800, 683, 284, 665, 1156, 1664, 3207, 784, 711, 291, 442, 2599, 26, 1467, 3749, 30, 630, 14585, 1664, 16369, 284, 665, 617, 14268, 81, 47652, 81, 307, 1282, 367, 81, 22950, 26, 784, 30, 10180, 711, 291, 1401, 81, 864, 3749, 280, 330, 864, 3749, 25, 328, 10180, 556, 330, 864, 3749, 81, 496, 25, 266, 10180, 291, 1401, 81, 9860, 261, 280, 330, 9860, 25, 328, 10180, 556, 330, 9860, 81, 496, 25, 328, 10180, 291, 1401, 81, 11192, 262, 280, 330, 11192, 25, 328, 10180, 556, 330, 11192, 81, 496, 25, 328, 10180, 291, 415, 1401, 81, 864, 3749, 44, 324, 3124, 280, 330, 1318, 9555, 2803, 2884, 864, 3749, 392, 313, 864, 3749, 81, 496, 657, 461, 25, 324, 415, 1401, 81, 9860, 44, 400, 3636, 35603, 2825, 924, 15339, 101, 12798, 2803, 2884, 9860, 392, 313, 9860, 81, 496, 657, 4881, 526, 1654, 10752, 25, 904, 3124, 27, 324, 4348, 1401, 81, 11192, 44, 400, 3636, 35603, 2825, 924, 15339, 101, 7322, 2803, 2884, 11192, 392, 313, 11192, 81, 496, 657, 4881, 526, 1654, 10752, 25, 904, 3124, 27, 291, 4348, 1401, 81, 9860, 461, 1401, 81, 11192, 44, 324, 3636, 35603, 2825, 924, 463, 9860, 2803, 2884, 9860, 392, 313, 9860, 81, 496, 657, 461, 7322, 2803, 2884, 11192, 392, 313, 11192, 81, 496, 657, 4881, 526, 1654, 10752, 683, 284, 665, 617, 32623, 81, 605, 81, 864, 3749, 26, 784, 30, 10180, 711, 291, 630, 1114, 14268, 81, 47652, 81, 307, 1282, 367, 81, 22950, 26, 3210, 27, 291, 415, 330, 9860, 25, 328, 10180, 556, 330, 9860, 81, 496, 25, 328, 10180, 44, 324, 10180, 710, 864, 3749, 81, 1959, 785, 280, 330, 9860, 25, 324, 415, 330, 9860, 25, 328, 10180, 44, 400, 10180, 710, 864, 3749, 785, 280, 10180, 710, 9860, 785, 400, 3555, 10180, 710, 9860, 785, 324, 415, 330, 9860, 81, 496, 25, 328, 10180, 44, 400, 10180, 710, 864, 3749, 81, 496, 785, 280, 10180, 710, 9860, 81, 496, 785, 400, 3555, 10180, 710, 9860, 81, 496, 785, 324, 2503, 32, 15040, 440, 41767, 432, 12798, 33, 9860, 81, 496, 30, 793, 9555, 33, 864, 3749, 81, 496, 461, 1930, 3654, 9555, 81, 1959, 438, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 5, 5, 3, 3, 1, 2, 2, 2, 2, 2, 4, 5, 6, 5, 6, 4, 4, 3, 3, 5, 5, 7, 0, 1, 1, 2, 1, 1, 1, 5, 5, 4, 4, 4, 6, 6, 8, 7, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 4, 6, 6, 8, 7, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 4, 6, 6, 8, 7, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 4, 6, 6, 8, 7, 9, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 10, 10, 9, 9, 9, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 6, 6, 10, 10, 10, 8, 8, 7, 7, 10, 10, 10, 10, 10, 8, 8, 4, 4, 7, 7, 6, 6, 6, 10, 10, 8, 8, 7, 7, 10, 10, 10, 10, 8, 8, 4, 4, 7, 7, 6, 6, 6, 10, 10, 8, 8, 7, 7, 10, 10, 10, 10, 8, 8, 4, 4, 5, 6, 6, 6, 5, 5, 5, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 7, 8, 8, 7, 7, 7, 9, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 11, 7, 7, 8, 9, 9, 8, 8, 8, 10, 12, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 12, 5, 5, 6, 8, 8, 7, 7, 8, 8, 6, 6, 6, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 5, 9, 9, 7, 7, 6, 6, 9, 9, 9, 9, 7, 7, 5, 5, 5, 9, 11, 11, 11, 11, 11, 8, 8, 10, 10, 6, 6, 7, 10, 10, 8, 8, 7, 7, 7, 11, 13, 13, 13, 10, 10, 11, 13, 13, 8, 8, 9, 10, 12, 12, 6, 6, 7, 10, 10, 10, 10, 8, 8, 7, 7, 7, 11, 13, 13, 13, 13, 13, 10, 10, 11, 13, 13, 13, 13, 8, 8, 9, 10, 12, 12, 12, 12, 6, 6, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 3, 3, 1, 2, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 3, 3, 3, 3, 3, 0, 1, 2, 1, 4, 0, 0, 3, 3, 0, 0, 1, 0, 6, 6, 1, 6, 6, 6, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 3, 3, 4, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4, 3, 1, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 1, 1, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 4, 0, 0, 1, 1, 2, 2, 4, 4, 4, 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, 2, 3, 3, 6, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 3, 3, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 3, 3, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 81, 10629, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 1070, 420, 25361, 1188, 14735, 203, 1070, 420, 25361, 1188, 10548, 203, 1070, 420, 25361, 1188, 5218, 203, 1070, 420, 25361, 1188, 17002, 203, 1070, 420, 25361, 32, 2304, 1188, 31436, 203, 1070, 420, 25361, 1188, 35761, 203, 1070, 2156, 3034, 81, 7854, 1188, 4125, 203, 1070, 2156, 3034, 81, 7854, 32, 44790, 32, 2250, 32, 27369, 766, 284, 1188, 10548, 619, 354, 7547, 81, 8538, 203, 1070, 2156, 3034, 81, 7854, 32, 44790, 32, 2250, 32, 27369, 1188, 10343, 619, 354, 7547, 81, 11278, 203, 1070, 2156, 3034, 81, 7854, 32, 44790, 32, 2250, 32, 27369, 1188, 17002, 619, 354, 7547, 81, 10487, 203, 1070, 2156, 3034, 81, 7854, 32, 44790, 32, 2250, 32, 27369, 766, 284, 1188, 35761, 619, 354, 7547, 81, 23829, 203, 465, 316, 203, 823, 6422, 1074, 26, 10487, 32, 3999, 1074, 711, 284, 4878, 81, 1363, 81, 823, 280, 354, 7547, 81, 10487, 32, 12453, 4734, 3596, 284, 3079, 81, 426, 280, 330, 2250, 33, 27369, 33, 1055, 32, 916, 25, 284, 1938, 81, 1311, 280, 26155, 7804, 12400, 8159, 657, 284, 665, 2364, 26, 784, 30, 1326, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2830, 81, 3631, 280, 1326, 32, 3705, 32, 371, 668, 463, 1473, 81, 3631, 683, 291, 2125, 280, 1326, 32, 3705, 710, 1141, 785, 291, 345, 280, 316, 32, 1903, 3949, 2560, 2009, 83, 31, 108, 6155, 7243, 2125, 547, 1363, 26, 35, 27, 291, 415, 2830, 81, 3631, 610, 1605, 44, 324, 2830, 81, 3631, 32, 1689, 26, 268, 32, 1903, 463, 2009, 34, 31, 43, 83, 31, 108, 31, 6155, 9501, 370, 2125, 547, 1363, 26, 35, 490, 291, 415, 345, 610, 330, 27369, 2122, 950, 324, 436, 2830, 81, 314, 328, 2830, 81, 3631, 44, 400, 1596, 44, 528, 4125, 32, 27369, 32, 27369, 2122, 81, 2560, 26, 1357, 30, 2830, 81, 314, 27, 528, 5218, 32, 3127, 26, 1357, 30, 9474, 30121, 13576, 30537, 4851, 904, 101, 683, 904, 2830, 81, 314, 27, 400, 2940, 3268, 619, 484, 44, 528, 14735, 32, 2956, 26, 1357, 30, 8479, 30121, 12014, 372, 3066, 30537, 4851, 44, 904, 101, 683, 8479, 904, 484, 27, 291, 4348, 345, 610, 330, 29350, 6038, 950, 324, 436, 2830, 81, 314, 328, 2830, 81, 3631, 44, 400, 1596, 44, 528, 4125, 32, 27369, 32, 29350, 6038, 81, 2560, 26, 1357, 30, 2830, 81, 314, 27, 528, 5218, 32, 3127, 26, 1357, 30, 9474, 30121, 13576, 439, 2223, 15310, 904, 101, 683, 904, 2830, 81, 314, 27, 400, 2940, 3268, 619, 484, 44, 528, 14735, 32, 2956, 26, 1357, 30, 8479, 30121, 12014, 372, 3066, 439, 2223, 15310, 44, 904, 101, 683, 904, 484, 27, 291, 4348, 345, 610, 330, 639, 48058, 2439, 950, 324, 436, 2830, 81, 314, 328, 2830, 81, 3631, 44, 400, 1596, 44, 528, 4125, 32, 27369, 32, 639, 48058, 2439, 81, 2560, 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, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 8, 8, 8, 8, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 9, 8, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 7, 9, 9, 4, 4, 6, 6, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 10, 10, 9, 8, 9, 8, 4, 4, 5, 7, 7, 6, 6, 5, 5, 5, 10, 10, 9, 10, 9, 14, 13, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 12, 11, 12, 11, 4, 4, 5, 6, 6, 8, 8, 8, 5, 5, 7, 8, 8, 7, 7, 8, 8, 7, 7, 7, 9, 9, 9, 14, 15, 13, 14, 14, 14, 14, 13, 14, 13, 13, 14, 14, 13, 10, 10, 13, 14, 13, 14, 13, 13, 13, 18, 18, 18, 18, 18, 18, 14, 14, 15, 15, 13, 9, 9, 10, 11, 11, 10, 10, 10, 14, 15, 14, 15, 14, 14, 14, 19, 19, 19, 19, 19, 19, 19, 19, 19, 15, 15, 15, 14, 5, 5, 6, 7, 7, 9, 9, 9, 6, 6, 8, 9, 9, 8, 8, 9, 9, 8, 8, 8, 10, 10, 10, 15, 16, 14, 15, 15, 15, 15, 14, 15, 14, 14, 15, 15, 14, 11, 11, 14, 15, 14, 15, 14, 14, 14, 19, 19, 19, 19, 19, 19, 19, 15, 15, 16, 16, 14, 10, 10, 11, 12, 12, 11, 11, 11, 15, 16, 15, 16, 15, 15, 15, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 16, 16, 15, 5, 5, 6, 7, 7, 9, 9, 9, 9, 6, 6, 8, 9, 9, 8, 8, 9, 9, 8, 8, 8, 10, 10, 10, 15, 16, 14, 15, 15, 15, 15, 15, 14 ]
[ 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 8, 8, 0, 8, 8, 0, 9, 9, 0, 0, 0, 9, 9, 0, 10, 10, 0, 0, 0, 1, 2, 1, 4, 1, 6, 10, 2, 10, 10, 4, 4, 2, 2, 2, 0, 11, 11, 0, 0, 0, 1, 2, 1, 4, 1, 6, 11, 11, 3, 3, 2, 2, 2, 0, 12, 12, 0, 0, 0, 1, 2, 1, 4, 1, 6, 12, 12, 3, 3, 2, 2, 2, 0, 13, 13, 0, 0, 0, 1, 2, 1, 4, 1, 6, 13, 2, 13, 13, 4, 4, 2, 2, 2, 0, 14, 14, 0, 15, 15, 1, 2, 0, 1, 2, 2, 2, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 3, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 3, 0, 0, 1, 1, 3, 3, 3, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 1, 4, 4, 4, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 4, 4, 5, 1, 1, 1, 1, 1, 2, 5, 5, 0, 1, 1, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1 ]
[ 823, 7703, 4216, 5756, 26, 1473, 711, 284, 47459, 2893, 280, 1524, 203, 2184, 44, 334, 3408, 44, 284, 3048, 44, 397, 429, 19009, 322, 13569, 3408, 636, 556, 2965, 436, 22422, 372, 322, 6562, 291, 3298, 2288, 322, 3191, 11337, 32, 225, 886, 786, 432, 3408, 438, 1654, 619, 291, 322, 8050, 2965, 436, 322, 11337, 32, 284, 2129, 44, 861, 334, 2601, 44, 284, 3048, 44, 397, 429, 19009, 322, 2601, 372, 793, 1412, 9038, 322, 3387, 372, 322, 6562, 291, 3298, 32, 284, 2129, 44, 901, 284, 1244, 44, 225, 36, 36, 334, 952, 44, 284, 3048, 44, 397, 429, 3383, 3009, 322, 952, 372, 793, 372, 21307, 322, 3387, 372, 291, 322, 6562, 3298, 32, 225, 1348, 786, 438, 1654, 372, 21307, 291, 322, 17727, 3523, 32, 1670, 322, 786, 438, 646, 3191, 328, 322, 2899, 30, 322, 291, 786, 432, 4706, 2677, 390, 26, 37632, 14507, 81, 4773, 81, 19452, 27, 1098, 526, 1654, 4174, 32, 284, 2129, 44, 901, 334, 3882, 44, 284, 3048, 44, 397, 429, 19009, 322, 3882, 372, 793, 372, 21307, 322, 3387, 372, 291, 322, 6562, 3298, 32, 261, 1348, 786, 438, 1654, 372, 21307, 291, 322, 17727, 3523, 32, 1670, 322, 786, 438, 646, 3191, 328, 322, 2899, 30, 322, 291, 786, 432, 4706, 2677, 390, 26, 37632, 14507, 81, 4773, 81, 13001, 27, 1098, 526, 1654, 4174, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 5868, 44, 284, 3048, 44, 397, 429, 19009, 322, 5868, 328, 6791, 436, 15278, 1741, 623, 322, 3984, 3298, 291, 436, 3154, 22422, 556, 11926, 6350, 32, 225, 1670, 322, 5868, 438, 291, 31793, 2670, 322, 4212, 438, 9435, 30, 322, 2297, 1098, 1048, 32, 284, 1205, 44, 901, 284, 1244, 44, 225, 35, 34, 334, 14949, 81, 678, 761, 44, 284, 3048, 44, 397, 429, 19009, 322, 17727, 1202, 372, 793, 372, 21307, 322, 3387, 372, 291, 322, 6562, 3298, 32, 261, 1348, 786, 438, 322, 1519, 372, 322, 291, 1202, 1654, 372, 21307, 322, 17727, 3523, 32, 1670, 322, 786, 438, 646, 3191, 291, 328, 322, 2899, 30, 322, 786, 432, 4706, 2677, 390, 26, 37632, 14507, 81, 4773, 81, 19466, 81, 3307, 3539, 27, 291, 1098, 526, 1654, 4174, 32, 284, 2129, 44, 901, 334, 6887, 44, 284, 3048, 44, 397, 429, 46082, 2793, 688, 6972, 3387, 4209, 372, 526, 5403, 619, 291, 312, 5436, 1300, 32, 225, 8204, 2305, 390, 26, 2035, 471, 390, 26, 625, 471, 390, 26, 699, 471, 390, 26, 2895, 471, 291, 390, 26, 9404, 81, 678, 761, 471, 461, 390, 26, 5457, 547, 3367, 13383, 308, 3648, 30, 16682, 30, 291, 5774, 27, 2298, 526, 3279, 3154, 810, 10090, 4209, 556, 2078, 328, 458, 5436, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 203, 2993, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 465, 2361, 203, 1070, 31074, 1188, 14770, 203, 1070, 37875, 1356, 1188, 39229, 6754, 924, 30, 39229, 750, 924, 30, 39229, 2059, 38736, 203, 465, 343, 2632, 203, 1070, 25312, 834, 32, 10615, 1188, 13070, 21160, 30, 18850, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 9331, 1188, 1476, 81, 2501, 203, 1070, 8527, 32, 11400, 1188, 10156, 203, 1070, 8527, 32, 1199, 1188, 6716, 924, 203, 1070, 4395, 1188, 7502, 30, 7841, 203, 1070, 32400, 81, 3494, 32, 16520, 32, 25102, 1188, 22509, 16464, 203, 1070, 18792, 1188, 1344, 81, 681, 203, 1070, 21590, 81, 1935, 32, 3378, 1188, 358, 3285, 81, 1407, 81, 11838, 28844, 30, 36298, 4477, 5260, 30, 22509, 4477, 203, 1070, 21590, 81, 1935, 32, 8246, 1188, 4436, 81, 14388, 81, 1935, 81, 29707, 30, 3240, 81, 7632, 81, 1935, 203, 1070, 456, 874, 32, 11025, 7491, 32, 266, 2647, 81, 2795, 32, 11452, 1188, 30095, 2247, 984, 203, 1070, 456, 874, 32, 11025, 7491, 32, 266, 2647, 81, 2795, 32, 3378, 1188, 701, 2647, 2247, 203, 1070, 456, 874, 32, 11025, 7491, 32, 266, 2647, 81, 2795, 32, 1113, 8246, 1188, 308, 284, 7482, 81, 20528, 81, 5357, 81, 613, 1310, 12145, 30, 284, 3725, 2795, 1533, 30, 284, 1505, 81, 1113, 2795, 81, 297, 81, 1327, 30, 284, 7379, 81, 1113, 2795, 81, 1338, 30, 284, 1974, 81, 1113, 2795, 81, 1517, 203, 27, 203, 1070, 9525, 32, 4882, 32, 42053, 1188, 9128, 2214, 30, 22509, 38935, 2214, 30, 2680, 2214, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 11025, 81, 2304, 1188, 7703, 2780, 7233, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 42053, 1188, 22509, 2214, 203, 823, 10024, 1006, 984, 26, 984, 711, 284, 3097, 203, 50, 583, 102, 32, 583, 102, 203, 50, 2675, 463, 17245, 81, 1935, 32, 3378, 32, 916, 81, 452, 81, 878, 370, 7502, 26, 601, 81, 853, 1057, 3660, 299, 22509, 4477, 32, 878, 81, 1436, 370, 38406, 897, 47, 1815, 490, 203, 823, 2108, 4477, 7352, 26, 2459, 2780, 7233, 711, 284, 24597, 280, 225, 35, 284, 21496, 54, 81, 53, 10028, 940, 280, 2107, 1536, 370, 330, 17022, 81, 4519, 81, 29635, 370, 330, 881, 81, 2613, 785, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 1006, 4477, 7352, 30, 630, 547, 23741, 346, 291, 8419, 81, 1311, 280, 1044, 20, 4589, 250, 22819, 18064, 113, 4589, 250, 1780, 225, 23873, 129, 2707, 234, 797, 229, 23873, 129, 225, 188, 141, 133, 2707, 234, 797, 229, 797, 229, 188, 141, 244, 89, 2707, 234, 225, 23873, 134, 97, 2528, 137, 225, 188, 141, 244, 188, 141, 253, 188, 141, 253, 6991, 28488, 158, 248, 1268, 6963, 28488, 158, 248, 158, 248, 2485, 244, 28488, 20, 291, 630, 32, 7632, 280, 22509, 2214, 32, 1297, 26, 2751, 81, 426, 47, 7632, 81, 1311, 27, 291, 630, 32, 266, 2647, 280, 9128, 2214, 32, 1297, 346, 291, 630, 32, 1580, 32, 3615, 26, 699, 47, 784, 32, 266, 2647, 32, 699, 30, 3882, 347, 858, 657 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 1, 2, 2, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 1, 2, 2, 4, 1, 2, 2, 4, 3, 4, 2, 2, 4, 2, 2, 1, 2, 2, 3, 4, 2, 2, 1, 2, 2, 3, 4, 3, 4, 2, 2, 4, 4, 1, 2, 2, 3, 4, 2, 2, 1, 2, 2, 3, 4, 2, 2, 4, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 4, 4, 3, 4, 3, 4, 2, 2, 4, 1, 2, 2, 2, 2, 4, 4, 1, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 2, 2, 4, 1, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 1, 2, 2, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 2, 2, 4, 4, 1, 2, 2, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 2, 2, 4, 4, 1, 2, 2, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 4, 4, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 4, 4, 4, 4, 4, 2, 2, 2, 4, 4, 4, 4, 4, 2, 2, 1, 2, 2, 3, 4, 3, 4, 2, 2, 4, 2, 2, 4, 4, 2, 2, 4, 1, 2, 2, 4, 3, 4, 4, 3, 4, 3, 4, 4, 4, 2, 2, 4, 4, 1, 2, 2, 4, 3, 4, 4, 3, 4, 3, 4, 2, 2, 4, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 1, 3, 5, 5, 4, 5, 5, 2, 3, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 9, 8, 9, 7, 2, 3, 3, 4, 4, 4, 5, 5, 5, 4, 3, 3, 6, 6, 7, 4, 4, 7, 7, 7, 7, 7, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 4, 4, 5, 6, 7, 6, 5, 5, 11, 12, 12, 12, 11, 11, 11, 10, 9, 6, 6, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 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, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 6, 10, 10, 10, 8, 8, 11, 11, 10, 11, 12, 12, 12, 12, 12, 12, 6, 6, 9, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 6, 6, 11, 10, 10, 10, 11 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 8, 8, 0, 0, 9, 9, 9, 9, 9, 9, 0, 10, 10, 0, 0, 1, 2, 1, 4, 10, 10, 0, 0, 11, 11, 11, 11, 0, 0, 0, 12, 12, 0, 0, 1, 2, 12, 12, 0, 0, 0, 0, 0, 0, 12, 12, 0, 0, 12, 12, 0, 0, 13, 13, 0, 0, 1, 2, 13, 13, 0, 0, 0, 0, 0, 0, 13, 13, 0, 0, 0, 0, 0, 14, 14, 0, 1, 2, 2, 1, 4, 4, 4, 4, 1, 6, 14, 14, 0, 0, 0, 15, 15, 0, 1, 2, 2, 1, 4, 4, 4, 4, 1, 6, 15, 15, 0, 0, 0, 16, 16, 0, 1, 2, 2, 1, 4, 4, 4, 4, 1, 6, 6, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, 0, 0, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, 0, 0, 0, 0, 0, 16, 16, 16, 0, 0, 0, 0, 0, 16, 16, 0, 17, 17, 1, 2, 1, 4, 17, 17, 0, 17, 17, 0, 0, 17, 17, 0, 0, 18, 18, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 18, 18, 0, 0, 0, 19, 19, 0, 1, 2, 2, 1, 4, 1, 6, 19, 19, 0, 0, 20, 20, 1, 1, 2, 1, 2, 20, 20, 0, 0, 0, 0, 1, 2, 2, 21, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 3, 2, 1, 21, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 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, 4, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0 ]
[ 465, 316, 203, 465, 7138, 203, 1070, 3619, 10185, 1188, 17197, 203, 1070, 4395, 1188, 7841, 30, 7502, 203, 1070, 8527, 32, 525, 1188, 4688, 38, 34, 38, 203, 1070, 8527, 32, 858, 32, 1580, 1188, 4448, 2214, 203, 1070, 8527, 32, 2304, 1188, 1913, 203, 465, 1795, 2157, 32, 4338, 32, 2292, 619, 11875, 203, 1070, 1795, 2157, 32, 4338, 32, 4882, 32, 2304, 1188, 9390, 1969, 7233, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 11025, 1188, 2297, 2157, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 42053, 1188, 6324, 2214, 203, 823, 9095, 1969, 7233, 26, 13302, 1969, 7233, 711, 284, 3851, 81, 1071, 280, 330, 2630, 81, 8687, 25, 284, 48864, 444, 81, 2661, 81, 1071, 280, 330, 45262, 444, 81, 2630, 81, 2661, 81, 8687, 25, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 2879, 1969, 7233, 30, 630, 547, 23741, 346, 291, 630, 32, 10163, 280, 630, 1114, 1297, 81, 1094, 26, 784, 32, 42531, 32, 2645, 30, 330, 10163, 370, 330, 3010, 683, 291, 630, 32, 916, 280, 630, 1114, 1297, 81, 1094, 26, 784, 32, 10163, 32, 2645, 30, 313, 916, 392, 313, 4424, 657, 291, 630, 32, 2661, 81, 2630, 280, 630, 1114, 1297, 81, 1094, 26, 784, 32, 10163, 32, 2645, 30, 330, 2998, 81, 858, 370, 330, 7334, 2108, 683, 291, 630, 32, 2661, 81, 10163, 280, 630, 1114, 1297, 81, 1094, 26, 784, 32, 2661, 81, 2630, 32, 2645, 30, 330, 10163, 370, 330, 2931, 28512, 683, 291, 630, 32, 5000, 280, 630, 1114, 1297, 81, 1094, 26, 784, 32, 2661, 81, 10163, 32, 2645, 30, 313, 5000, 392, 313, 3758, 13467, 657, 291, 630, 32, 2157, 280, 2297, 2157, 346, 291, 11169, 280, 7138, 32, 6665, 26, 35, 43, 41, 34, 30, 225, 35, 30, 225, 35, 30, 25932, 1338, 47, 15689, 27, 291, 7062, 280, 7138, 32, 6665, 32, 2174, 26, 15689, 27, 474, 7138, 32, 32888, 26, 6124, 47, 35, 27, 291, 630, 32, 26825, 81, 2055, 81, 10163, 280, 630, 1114, 1297, 81, 1094, 26, 324, 2935, 81, 2645, 47, 784, 32, 42531, 32, 2645, 30, 6215, 1057, 10163, 370, 2503, 81, 426, 1057, 22838, 12400, 7137, 370, 324, 1477, 47, 20549, 27, 291, 630, 32, 311, 26825, 81, 2055, 81, 10163, 280, 630, 1114, 1297, 81, 1094, 26, 324, 2935, 81, 2645, 47, 784, 32, 42531, 32, 2645, 30, 6215, 1057, 10163, 370, 2503, 81, 426, 1057, 1061, 26825, 12400, 7137, 370, 324, 1477, 47, 9666, 27, 291, 630, 32, 26825, 81, 923, 81, 10163, 280, 630, 1114, 1297, 81, 1094, 26, 324, 2935, 81, 2645, 47, 784, 32, 42531, 32, 2645, 30, 6215, 1057, 10163, 370, 2503, 81, 426, 1057, 22838, 5056, 7137, 370, 324, 1477, 47, 20549, 27, 291, 630, 32, 311, 26825, 81, 923, 81, 10163, 280, 630, 1114, 1297, 81, 1094, 26, 324, 2935, 81, 2645, 47, 784, 32, 42531, 32, 2645, 30, 6215, 1057, 10163, 370, 2503, 81, 426, 1057, 1061, 26825, 5056, 7137, 370, 324, 1477, 47, 9666, 27, 291, 630, 32, 2157, 32, 7211, 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, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 4, 3, 4, 3, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 11, 10, 11, 9, 10, 8, 8, 10, 10, 8, 10, 10, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 11, 10, 11, 9, 10, 8, 8, 10, 10, 8, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 11, 10, 11, 9, 10, 8, 8, 10, 10, 10, 10, 8, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 11, 10, 11, 11, 11, 9, 10, 8, 8, 10, 10, 8, 10, 10, 10, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 11, 10, 11, 11, 11, 9, 10, 8, 8, 10, 10, 8, 10, 10, 10, 4, 4, 7, 8, 6, 6, 8, 8, 4, 4, 6, 6, 8, 9, 8, 9, 9, 9, 9, 8, 8, 9, 8, 8, 9, 8, 8, 10, 9, 10, 8, 4, 4, 6, 6, 10, 11, 9, 10, 9, 10, 9, 7, 7, 9, 10, 9, 11, 10, 11, 9, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 8, 8, 10, 10, 9, 12, 11, 12, 10, 11, 8, 8, 9, 11, 11, 8, 10, 10, 9, 11, 11, 11, 11, 8, 8, 9, 10, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 8, 8, 10, 10, 9, 12, 11, 12, 10, 11, 8, 8, 9, 11, 11, 8, 10, 10, 9, 11, 11, 11, 11, 11, 8, 8, 9, 10, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 8, 8, 10, 10, 9, 12, 11, 12, 10, 11, 8, 8, 9, 11, 11, 8, 10, 10, 9, 11, 11, 11, 11, 8, 8, 9, 10, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 8, 8, 10, 10, 9, 12, 11, 12, 10, 11, 8, 8, 9, 11, 11, 8, 10, 10, 9, 11, 11, 11, 11, 11, 8, 8, 9, 10, 8, 4, 4, 8, 9, 7, 8, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 3, 3, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 0, 0, 2, 0, 4, 1, 1, 0, 8, 8, 0, 1, 2, 1, 4, 1, 6, 8, 8, 0, 0, 0, 9, 9, 0, 1, 2, 2, 1, 4, 9, 9, 0, 0, 10, 10, 0, 1, 2, 2, 1, 4, 1, 6, 10, 10, 0, 0, 11, 11, 1, 1, 2, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 0, 7, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 3, 1, 2, 1, 0, 0, 5, 1, 1, 1, 2, 1, 1, 7, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 3, 1, 2, 1, 0, 0, 5, 1, 1, 1, 1, 2, 1, 1, 7, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 3, 1, 2, 1, 0, 0, 5, 1, 1, 1, 2, 1, 1, 7, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 3, 1, 2, 1, 0, 0, 5, 1, 1, 1, 1, 2, 1, 1, 7, 2, 1, 4, 4, 0, 2, 0, 2, 1 ]
[ 465, 5237, 203, 1070, 13625, 1188, 636, 41766, 203, 465, 41859, 1306, 2966, 203, 5735, 63, 280, 636, 41766, 463, 5735, 63, 370, 2107, 426, 370, 330, 1648, 370, 330, 3779, 370, 330, 8836, 370, 330, 30040, 3490, 203, 8895, 3746, 280, 428, 284, 48483, 463, 3986, 370, 330, 35, 32, 34, 370, 330, 35, 370, 1665, 30, 1665, 471, 284, 48483, 463, 3986, 370, 330, 35, 32, 34, 370, 330, 36, 370, 330, 35, 370, 1665, 471, 284, 48483, 463, 3986, 370, 330, 35, 32, 35, 370, 330, 35, 370, 330, 35, 370, 1665, 471, 284, 48483, 463, 3986, 31, 1632, 370, 330, 35, 32, 34, 370, 330, 35, 370, 1665, 30, 1665, 471, 284, 48483, 463, 3986, 31, 1632, 370, 330, 35, 32, 35, 370, 330, 35, 370, 1665, 30, 1665, 471, 284, 48483, 463, 1632, 370, 330, 35, 32, 34, 370, 330, 35, 370, 1665, 30, 1665, 471, 284, 48483, 463, 1632, 370, 330, 35, 32, 35, 370, 330, 35, 370, 1665, 30, 1665, 471, 284, 48483, 463, 3986, 31, 1793, 31, 12063, 31, 9059, 370, 330, 35, 32, 34, 370, 330, 35, 370, 1665, 30, 2107, 3986, 31, 12063, 31, 9059, 16578, 284, 48483, 463, 3986, 31, 12063, 31, 9059, 370, 330, 35, 32, 34, 370, 330, 35, 370, 1665, 30, 1665, 471, 203, 79, 203, 589, 2575, 2262, 284, 1596, 44, 291, 5814, 280, 5237, 32, 6118, 77, 35, 79, 284, 2940, 44121, 44, 291, 5814, 280, 330, 106, 42, 40, 81, 40, 38, 25, 284, 15769, 5360, 280, 1605, 284, 436, 1374, 328, 12384, 3746, 44, 291, 12870, 280, 41859, 1306, 2966, 32, 5291, 68, 4911, 3313, 26, 2285, 32, 426, 30, 1374, 32, 1648, 30, 1374, 32, 3779, 30, 428, 1004, 1130, 291, 12870, 32, 8836, 280, 1374, 32, 8836, 291, 415, 1374, 32, 30040, 44, 324, 415, 646, 19326, 26, 24497, 1306, 2966, 30, 313, 3374, 81, 539, 81, 24497, 81, 12063, 81, 11176, 657, 556, 646, 41859, 1306, 2966, 32, 3374, 81, 539, 81, 24497, 81, 12063, 81, 11176, 2262, 400, 4036, 324, 436, 13152, 328, 1374, 32, 30040, 44, 400, 12870, 32, 669, 81, 30040, 26, 28264, 27, 291, 15769, 5360, 32, 1689, 26, 4652, 27, 284, 5867, 280, 41859, 1306, 2966, 32, 75, 378, 9335, 3313, 26, 18348, 27, 284, 5867, 32, 2682, 26, 1004, 27, 284, 436, 12870, 328, 15769, 5360, 44, 291, 12870, 32, 6008, 346, 284, 1459, 26, 6426, 32, 6426, 2976, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 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, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 0, 3, 3, 2, 2, 4, 4, 6, 6, 6, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 0, 3, 3, 2, 2, 3, 3, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 5, 5, 5, 5, 3, 3, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 3, 3, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 3, 3, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 5, 5, 5, 5, 3, 3, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 5, 5, 5, 5, 3, 3, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 5, 5, 5, 5, 3, 3, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 5, 5, 5, 5, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 3, 3, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 5, 5, 5, 5, 3, 3, 0, 1, 1, 2, 1, 1, 3, 3, 3, 6, 6, 8, 9, 7, 8, 7, 3, 3, 4, 4, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 4, 4, 2, 2, 3, 3, 3, 4, 3, 3, 3, 6, 6, 9, 9, 8, 9, 9, 9, 9, 8, 10, 9, 10, 8, 8, 9, 10, 8, 8, 9, 10, 8, 8, 10, 9, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 5, 6, 7, 5, 5, 5, 7, 9, 11, 12, 12, 12, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 8, 8, 9, 12, 12, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 7, 7, 6, 6, 7, 7, 7, 8, 9, 7, 7, 7, 11, 12, 12, 12, 11, 12, 11, 4, 4, 8, 7, 8, 7, 8, 7, 2, 2, 4, 4, 7, 7, 6, 7, 7, 7, 7, 6, 7, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 3, 3, 3, 4, 3, 3, 3, 7, 8, 7, 2, 2, 5, 7, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 5, 5, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 4, 4, 2, 2, 2, 3, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 1, 7, 5, 5, 0, 2, 0, 0, 2, 2, 5, 5, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 3, 3, 1, 1, 1, 3, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 5, 5, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 5, 5, 5, 3, 5, 5, 5, 0, 2, 1, 4, 4, 1, 0, 1, 2, 2, 1, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 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 ]
[ 465, 1933, 203, 465, 1118, 348, 32, 1439, 32, 11452, 203, 1070, 1118, 348, 32, 1439, 1188, 3619, 5740, 30, 2899, 2956, 30, 13396, 30, 341, 1174, 30, 1340, 25132, 30, 8745, 203, 1070, 1118, 348, 32, 1439, 32, 2342, 1188, 5614, 8041, 30, 5614, 885, 203, 1070, 1118, 348, 32, 48066, 1188, 39630, 30, 667, 2304, 203, 823, 5614, 7785, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2074, 30, 2869, 30, 3401, 711, 291, 630, 32, 978, 1262, 280, 2074, 32, 978, 1262, 291, 630, 32, 3142, 280, 2869, 291, 630, 32, 2881, 280, 3401, 291, 630, 1114, 470, 81, 426, 81, 363, 81, 978, 426, 346, 291, 415, 630, 32, 978, 426, 438, 1665, 556, 630, 32, 978, 426, 32, 371, 81, 1473, 346, 438, 1665, 556, 766, 2607, 646, 6937, 26, 784, 32, 978, 426, 32, 371, 81, 1473, 1026, 3619, 5740, 32, 4997, 2447, 711, 324, 3636, 1118, 348, 32, 1439, 32, 11452, 32, 2084, 3260, 299, 924, 26, 400, 330, 1791, 1411, 8191, 1395, 526, 13555, 544, 4442, 683, 284, 665, 617, 470, 81, 426, 81, 363, 81, 978, 426, 26, 784, 711, 291, 630, 32, 426, 280, 341, 1174, 32, 371, 81, 426, 81, 269, 26, 784, 32, 3142, 30, 630, 32, 2881, 27, 291, 458, 81, 978, 1647, 280, 630, 32, 978, 1262, 32, 3142, 81, 452, 81, 978, 1473, 26, 784, 32, 3142, 27, 291, 630, 32, 4457, 30, 630, 32, 978, 426, 280, 13396, 32, 6569, 81, 2645, 36, 26, 324, 458, 81, 978, 1647, 30, 630, 32, 2881, 27, 291, 415, 630, 32, 978, 426, 438, 1665, 44, 324, 442, 291, 3619, 1473, 280, 630, 32, 978, 426, 32, 371, 81, 1473, 346, 291, 415, 6937, 26, 978, 1473, 30, 3619, 5740, 32, 4997, 1339, 27, 461, 766, 2607, 11477, 1664, 505, 25, 328, 3619, 1473, 44, 324, 630, 32, 978, 426, 280, 3619, 1473, 710, 505, 1664, 505, 785, 324, 630, 32, 426, 280, 11477, 1664, 505, 25, 291, 3619, 1473, 280, 630, 32, 978, 426, 32, 371, 81, 1473, 346, 291, 630, 32, 23521, 280, 1665, 291, 415, 630, 32, 426, 610, 11477, 1664, 505, 25, 461, 766, 2607, 6937, 26, 978, 1473, 30, 3619, 5740, 32, 4997, 2447, 27, 461, 766, 2607, 6937, 26, 978, 1473, 32, 2544, 30, 3619, 5740, 32, 4997, 1339, 711, 324, 3619, 823, 280, 3619, 1473, 32, 2544, 324, 630, 32, 23521, 280, 308, 978, 823, 32, 371, 81, 426, 1026, 6029, 3619, 823, 32, 2544, 77, 978, 823, 32, 371, 81, 426, 27944, 284, 665, 617, 2342, 81, 13842, 26, 784, 30, 1476, 81, 380, 5996, 30, 328, 81, 32754, 47, 2521, 30, 6086, 47, 2521, 30, 2855, 2887, 47, 2795, 2956, 32, 1883, 2247, 3297, 22805, 291, 415, 6086, 438, 1665, 44, 324, 6086, 280, 630, 32, 978, 1262, 32, 371, 81, 2958, 81, 2536, 346, 291, 3404, 280, 5614, 885, 463, 16337, 8191, 432, 15978, 101, 6457, 904, 630, 32, 426, 27, 291, 3992, 81, 470, 280, 2887, 32, 1297, 81, 3245, 470, 463, 7938, 299, 14013, 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, 0, 1, 1, 3, 2, 3, 2, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 6, 6, 7, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 5, 9, 10, 10, 8, 8, 7, 7, 11, 12, 12, 10, 11, 11, 11, 10, 8, 8, 6, 6, 7, 6, 7, 9, 13, 12, 13, 13, 11, 12, 12, 12, 11, 9, 11, 10, 11, 11, 9, 5, 5, 7, 12, 11, 12, 10, 11, 9, 10, 10, 10, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 9, 8, 9, 9, 9, 9, 9, 8, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 7, 7, 7, 6, 6, 9, 10, 10, 8, 9, 9, 9, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 8, 9, 7, 7, 8, 9, 9, 6, 6, 8, 9, 9, 9, 9, 8, 8, 8, 9, 9, 9, 8, 8, 9, 10, 8, 4, 4, 5, 7, 8, 8, 6, 6, 5, 5, 5, 4, 4, 7, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 4, 4, 5, 8, 9, 9, 8, 8, 10, 9, 10, 10, 8, 6, 6, 6, 6, 9, 9, 9, 7, 7, 8, 5, 5, 5, 9, 10, 10, 8, 8, 10, 9, 11, 11, 11, 11, 6, 6, 9, 10, 8, 8, 10, 10, 10, 4, 4, 7, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 5, 9, 10, 8, 8, 10, 10, 10, 7, 7, 8, 7, 9, 10, 10, 9, 9, 11, 10, 11, 11, 9, 6, 6, 7, 6, 8, 10, 10, 9, 10, 8, 8, 10, 9, 10, 10, 8, 5, 5, 9, 8, 8, 10, 9, 10, 6, 6, 9, 10, 8, 8, 12, 12, 11, 12, 12, 12, 11, 9, 9, 12, 11, 12, 10, 13, 13, 12, 13, 13, 13, 12, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 4, 4, 5, 8, 8, 7, 8, 8, 8, 7, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 11, 12, 12, 10, 11, 11, 11, 11, 11, 10, 4, 4, 6, 6, 8, 8, 11, 11, 11, 11, 11, 11, 9, 9, 10, 11, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 9, 8, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 4, 4, 0, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 3, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 3, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 3, 0, 2, 2, 1, 1, 3, 3, 3, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 4, 4, 5, 1, 1, 1, 1, 1, 0, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 3, 3, 0, 2, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 8, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 3, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 3, 2, 2, 1, 8, 8, 0, 0, 0, 0, 2, 2, 3, 3, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 3, 0, 0, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 2, 0, 0, 5, 2, 2, 2, 7, 2, 2, 2, 2, 9, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2 ]
[ 465, 14785, 619, 5239, 203, 465, 1133, 203, 465, 6436, 619, 2065, 203, 465, 44735, 81, 605, 203, 465, 5237, 203, 8445, 1413, 2347, 280, 5237, 32, 6118, 77, 35, 79, 203, 3539, 4065, 280, 5237, 32, 6118, 77, 36, 79, 203, 11218, 81, 3306, 280, 225, 34, 32, 34, 34, 35, 203, 10705, 81, 17738, 280, 225, 36, 34, 203, 4432, 81, 891, 280, 225, 37, 36, 203, 2751, 81, 2997, 280, 225, 35, 203, 96, 81, 1131, 81, 1275, 280, 225, 38, 34, 43, 40, 225, 203, 96, 81, 3864, 81, 35, 81, 1275, 280, 225, 35, 34, 34, 34, 225, 203, 96, 81, 3864, 81, 36, 81, 1275, 280, 225, 40, 34, 34, 225, 203, 96, 81, 1131, 81, 14004, 280, 225, 35, 34, 34, 203, 96, 81, 7439, 81, 14004, 280, 225, 36, 34, 261, 203, 96, 81, 3864, 81, 35, 81, 14004, 280, 225, 37, 34, 34, 225, 203, 96, 81, 3864, 81, 35, 81, 266, 280, 225, 40, 34, 34, 203, 96, 81, 3864, 81, 35, 81, 541, 280, 225, 36, 39, 40, 203, 96, 81, 3864, 81, 36, 81, 541, 280, 225, 35, 36, 42, 203, 96, 81, 4820, 280, 225, 35, 34, 225, 203, 23627, 280, 225, 35, 203, 1793, 5239, 32, 2929, 3247, 9873, 6078, 474, 19476, 1413, 2347, 711, 284, 816, 81, 14004, 280, 5239, 32, 10335, 440, 1808, 392, 428, 2521, 30, 310, 81, 7439, 81, 14004, 30, 310, 81, 1131, 81, 14004, 1130, 284, 816, 81, 1275, 280, 5239, 32, 10335, 440, 1808, 392, 428, 2521, 30, 310, 81, 1131, 81, 1275, 1130, 284, 533, 280, 5239, 32, 10335, 440, 1808, 392, 428, 2521, 30, 310, 81, 4820, 1130, 284, 4986, 81, 7151, 280, 5239, 32, 10335, 26, 4213, 32, 1808, 37, 36, 27, 3701, 665, 18423, 449, 431, 279, 2176, 74, 81, 14004, 30, 617, 74, 81, 1275, 30, 617, 105, 81, 14004, 30, 617, 84, 81, 14004, 30, 617, 105, 81, 1275, 30, 617, 84, 81, 1275, 30, 617, 105, 81, 541, 30, 617, 84, 81, 541, 30, 617, 23627, 711, 291, 617, 74, 81, 14004, 280, 5239, 32, 16547, 2176, 74, 81, 14004, 30, 428, 35, 30, 225, 34, 30, 225, 36, 1130, 291, 617, 74, 81, 14004, 280, 5239, 32, 12091, 2176, 74, 81, 14004, 30, 9650, 35, 30, 310, 81, 1131, 81, 14004, 1130, 291, 617, 74, 81, 14004, 280, 5239, 32, 2998, 26, 34, 30, 310, 81, 7439, 81, 14004, 30, 617, 74, 81, 14004, 27, 291, 456, 17546, 81, 8947, 81, 3376, 280, 5239, 32, 3997, 32, 28290, 81, 3376, 32, 7099, 38748, 2905, 26, 96, 81, 3864, 81, 35, 81, 14004, 30, 23262, 81, 12810, 47, 35, 32, 34, 27, 291, 456, 17546, 81, 17455, 81, 3376, 280, 5239, 32, 3997, 32, 28290, 81, 3376, 32, 7099, 38748, 2905, 26, 96, 81, 3864, 81, 35, 81, 14004, 30, 23262, 81, 12810, 47, 35, 32, 34, 27, 291, 1596, 44, 324, 21091, 81, 10931, 30, 4950, 617, 280, 5239, 32, 3997, 32, 12117, 25073, 81, 28290, 26, 35287, 81, 8947, 81, 3376, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 0, 1, 1, 0, 3, 3, 3, 2, 2, 4, 5, 3, 4, 3, 0, 3, 3, 2, 2, 4, 5, 3, 4, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 2, 2, 3, 0, 1, 1, 5, 6, 5, 8, 8, 6, 6, 7, 7, 5, 1, 1, 5, 5, 4, 4, 6, 7, 6, 8, 8, 6, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 6, 8, 7, 7, 8, 8, 8, 8, 7, 2, 2, 4, 4, 6, 7, 6, 8, 8, 6, 8, 7, 7, 8, 8, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 8, 8, 6, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 10, 9, 9, 10, 9, 9, 10, 9, 4, 4, 7, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 11, 9, 9, 10, 10, 10, 10, 9, 4, 4, 7, 7, 7, 6, 6, 8, 9, 8, 9, 8, 8, 9, 9, 9, 9, 8, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 7, 7, 6, 6, 10, 11, 9, 10, 10, 10, 8, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 10, 10, 9, 10, 10, 10, 8, 4, 4, 7, 7, 7, 7, 7, 6, 6, 10, 11, 9, 10, 10, 10, 8, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 10, 10, 9, 10, 10, 10, 8, 4, 4, 5, 5, 5, 10, 10, 9, 9, 9, 8, 8, 11, 12, 10, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 22, 22, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 22, 22, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 1, 1, 2, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 4, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 2, 2, 7, 7, 7, 2, 2, 9, 9, 9, 2, 2, 11, 11, 11, 2, 2, 13, 13, 13, 2, 2, 15, 15, 15, 2, 2, 17, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 5, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1 ]
[ 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 34, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 1524, 203, 1559, 203, 1647, 44, 11040, 36, 81, 9028, 81, 1809, 203, 4021, 81, 2310, 44, 7477, 9045, 16328, 27034, 23489, 23942, 993, 203, 2310, 44, 334, 429, 3759, 1149, 432, 9215, 23489, 23942, 993, 436, 312, 2702, 636, 30, 7947, 623, 1604, 6364, 2471, 334, 429, 19677, 883, 526, 8594, 461, 309, 31870, 334, 429, 2030, 12428, 544, 36387, 334, 429, 24226, 544, 322, 1389, 810, 23227, 551, 404, 19280, 308, 641, 555, 933, 32, 508, 33, 2061, 28821, 19280, 27, 203, 1648, 81, 11043, 44, 313, 36, 32, 36, 20, 203, 2116, 44, 313, 60, 2475, 5513, 289, 15504, 11931, 5501, 4244, 266, 3463, 4731, 203, 2184, 44, 334, 6699, 44, 284, 3048, 44, 397, 429, 886, 9045, 6699, 372, 793, 32, 284, 2129, 44, 861, 284, 20664, 44, 2107, 3955, 81, 3419, 370, 330, 735, 36, 81, 3419, 785, 334, 636, 81, 7920, 44, 284, 3048, 44, 397, 429, 399, 23489, 8145, 372, 2530, 397, 429, 2030, 4621, 526, 13831, 619, 9667, 284, 2129, 44, 2933, 334, 3844, 81, 1174, 44, 284, 3048, 44, 397, 429, 7679, 328, 1510, 372, 3844, 3276, 32, 284, 16682, 44, 2107, 45195, 370, 330, 3801, 4013, 785, 284, 1244, 44, 330, 45195, 25, 284, 2129, 44, 901, 334, 2723, 44, 284, 3048, 44, 397, 429, 4971, 5075, 3276, 372, 2519, 32, 397, 429, 28152, 4039, 3210, 372, 4865, 11494, 27627, 2124, 1149, 2867, 3248, 997, 284, 1244, 44, 744, 284, 2129, 44, 901, 203, 15965, 44, 334, 429, 313, 2958, 2377, 225, 36, 32, 40, 20, 334, 429, 36387, 37, 203, 2993, 203, 1460, 39189, 280, 5881, 203, 21, 5830, 44, 8204, 8272, 745, 646, 739, 9156, 4245, 30, 2318, 322, 9045, 15482, 436, 4245, 32, 203, 21, 7422, 436, 322, 23489, 23942, 993, 688, 1477, 623, 313, 725, 20, 203, 31, 11040, 36, 81, 9028, 81, 1809, 44, 284, 636, 81, 7920, 44, 1123, 3424, 284, 3844, 81, 1174, 44, 37053, 284, 2723, 44, 225, 36, 203, 9592, 203, 10934, 280, 5881, 203, 893, 81, 314, 44, 284, 3048, 44, 399, 5891, 804, 284, 4717, 44, 1412, 23489, 8145, 1597, 2431, 284, 827, 44, 802, 284, 3964, 44, 313, 12401, 31, 34, 86, 41, 39, 1479, 41, 87, 20, 203, 496, 81, 605, 44, 284, 3048, 44, 2680, 706, 1654, 372, 1477, 1980, 284, 4717, 44, 1412, 23489, 8145, 1597, 2431, 284, 827, 44, 802, 284, 1256, 81, 605, 44, 313, 10549, 6763, 84, 37, 60, 34, 59, 718, 3895, 35, 2478, 20, 203, 426, 44, 284, 3048, 44, 3270, 432, 322, 399, 5891, 284, 4717, 44, 1412, 23489, 8145, 1597, 2431, 284, 827, 44, 802, 284, 3964, 44, 313, 44171, 31, 104, 35, 36, 37, 20, 203, 2842, 44, 284, 3048, 44, 3270, 432, 322, 399, 5891, 284, 4717, 44, 1412, 23489, 8145, 1597, 2431, 284, 827, 44, 802, 284, 3964, 44, 313, 2842, 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 ]
[ 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 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 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15798, 203, 1070, 4377, 10242, 21031, 81, 2760, 1188, 17578, 57, 3906, 407, 2338, 203, 1070, 2417, 974, 2338, 1188, 2032, 2338, 619, 9661, 1676, 203, 1070, 23275, 1188, 8272, 619, 298, 1269, 279, 81, 7899, 203, 465, 29590, 203, 465, 2322, 203, 465, 11685, 203, 823, 894, 81, 8776, 57, 3906, 407, 2338, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 858, 81, 761, 280, 894, 81, 761, 280, 298, 1269, 279, 81, 7899, 32, 371, 81, 983, 463, 10242, 21031, 81, 2760, 32, 2760, 683, 291, 630, 32, 2067, 280, 17578, 57, 3906, 407, 2338, 26, 858, 81, 761, 30, 330, 100, 683, 284, 665, 894, 81, 2679, 26, 784, 711, 291, 296, 280, 630, 32, 2067, 291, 296, 32, 2679, 346, 291, 630, 32, 5066, 23093, 22101, 26, 22239, 30, 296, 32, 850, 27, 284, 665, 894, 81, 850, 26, 784, 711, 291, 623, 11685, 32, 5628, 81, 19991, 26, 4133, 47, 1815, 27, 619, 17161, 44, 324, 11685, 32, 6656, 2029, 440, 12149, 657, 324, 341, 280, 630, 32, 2067, 32, 850, 346, 324, 415, 2069, 26, 8447, 27, 848, 225, 34, 44, 400, 1201, 438, 39288, 26, 8447, 77, 34, 997, 3153, 30, 7310, 5711, 27, 400, 1201, 313, 1996, 56, 1875, 1741, 372, 17578, 31611, 13404, 1597, 646, 2431, 30, 21846, 299, 623, 39138, 802, 9668, 3107, 328, 596, 26, 8447, 77, 34, 997, 1436, 27, 291, 630, 32, 5299, 26, 37, 30, 341, 32, 96, 27, 291, 630, 32, 5299, 26, 36, 32, 34, 30, 341, 32, 6009, 81, 24575, 27, 291, 630, 32, 5299, 2009, 34, 32, 35, 30, 225, 34, 32, 34, 39, 614, 341, 77, 36, 997, 2810, 1157, 284, 665, 894, 81, 14408, 26, 784, 711, 291, 630, 32, 858, 81, 850, 346, 291, 630, 32, 5066, 23093, 22101, 26, 6495, 21863, 30, 630, 32, 2067, 32, 850, 27, 291, 630, 32, 2067, 32, 14408, 26, 34, 27, 291, 630, 32, 858, 81, 850, 346, 284, 665, 894, 81, 1821, 26, 784, 711, 291, 623, 11685, 32, 5628, 81, 19991, 26, 4133, 47, 1815, 27, 619, 17161, 44, 324, 11685, 32, 6656, 2029, 440, 12149, 657, 324, 341, 280, 630, 32, 2067, 32, 850, 346, 324, 415, 2069, 26, 8447, 27, 848, 225, 34, 44, 400, 1201, 438, 39288, 26, 8447, 77, 34, 997, 3153, 30, 7310, 5711, 27, 400, 1201, 313, 1996, 56, 1875, 1741, 372, 17578, 31611, 13404, 1597, 646, 2431, 30, 21846, 299, 623, 39138, 802, 9668, 3107, 328, 596, 26, 8447, 77, 34, 997, 1436, 27, 291, 296, 280, 29590, 32, 11049, 24723, 974, 26, 324, 12809, 1057, 32, 2760, 370, 4921, 47, 978, 10321, 81, 7899, 32, 371, 81, 983, 463, 2847, 291, 18146, 280, 296, 32, 426, 291, 296, 32, 2679, 346, 291, 337, 280, 9661, 1676, 26, 10555, 30, 330, 105, 370, 330, 10242, 21031, 81, 878, 683, 291, 337, 32, 1821, 26, 105, 27, 291, 337, 32, 2679, 346, 291, 623, 11685, 32, 5628, 81, 19991, 26, 4133, 47, 1815, 27, 619, 17161, 44, 324, 11685 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 1, 1, 4, 2, 2, 3, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 7, 7, 10, 10, 10, 10, 9, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 9, 9, 9, 8, 8, 10, 10, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 4, 4, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 10, 11, 11, 11, 10, 12, 11, 12, 10, 8, 8, 5, 5, 5, 9, 10, 10, 9, 11, 11, 6, 6, 8, 8, 11, 12, 10, 11, 10, 6, 6, 7, 10, 11, 10, 8, 8, 9, 7, 7, 7, 9, 11, 11, 14, 13, 14, 13, 13, 11, 11, 12, 11, 8, 8, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 15, 14, 15, 14, 14, 12, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 8, 9, 9, 9, 9, 8, 7, 10, 11, 10, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 8, 7, 7, 9, 10, 8, 9, 7, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 10, 11, 11, 11, 10, 12, 11, 12, 10, 8, 8, 5, 5, 5, 9, 10, 10, 9, 11, 11, 6, 6, 8, 8, 11, 12, 10, 11, 10, 6, 6, 7, 10, 11, 10, 8, 8, 9, 7, 7, 7, 9, 11, 11, 14, 13, 14, 13, 13, 11, 11, 12, 11, 8, 8, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 15, 14, 15, 14, 14, 12, 4, 4, 6, 6, 8, 9, 9, 9, 8, 8, 8, 9, 11, 11, 11, 8, 9, 12, 12, 12, 12, 11, 12, 12, 12, 11, 13, 4, 4, 6, 6, 7, 8, 4, 4, 7, 8, 7, 4, 4, 6, 6, 8, 8, 9, 8, 8, 10, 10, 8, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 4, 4, 5, 10, 11, 11, 11, 10, 12, 11, 12, 10, 8, 8, 5, 5, 5 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 3, 3, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 7, 7, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 4, 4, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 3, 3, 0, 0, 0, 2, 0, 2, 1, 3, 3, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 3, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 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, 1, 1, 0, 2, 0, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 3, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 3, 3, 0, 0, 0, 2, 0, 2, 1, 3, 3, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 3, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 4, 4, 0, 0, 2, 2, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 7, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 7, 7, 7 ]
[ 465, 4395, 203, 465, 15798, 203, 1070, 36387, 32, 735, 36, 32, 1521, 1902, 295, 405, 2782, 1188, 6575, 41787, 30, 6575, 3033, 4806, 203, 823, 6575, 41787, 4470, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 1521, 81, 2929, 81, 681, 280, 6575, 41787, 346, 284, 665, 1505, 81, 6939, 81, 4890, 81, 2040, 81, 31147, 81, 470, 26, 784, 30, 636, 30, 786, 30, 3879, 711, 291, 630, 32, 1521, 81, 2929, 81, 681, 32, 416, 1308, 26, 426, 30, 786, 30, 1665, 27, 291, 630, 32, 5299, 26, 32110, 26, 784, 32, 1521, 81, 2929, 81, 681, 30, 3879, 471, 786, 27, 284, 665, 894, 81, 416, 1308, 81, 2021, 81, 11015, 81, 5843, 81, 1793, 81, 2810, 26, 784, 711, 291, 436, 4209, 328, 428, 440, 7236, 606, 392, 225, 35, 30, 313, 7236, 81, 314, 2113, 3775, 2884, 5002, 558, 392, 313, 6060, 636, 392, 313, 929, 34409, 81, 426, 2113, 3775, 2884, 10799, 606, 392, 225, 35, 30, 313, 10799, 81, 314, 2113, 3775, 2884, 7236, 1250, 392, 225, 35, 30, 313, 891, 2113, 3775, 2884, 1517, 392, 313, 6060, 2287, 392, 313, 1517, 2113, 3775, 2884, 9959, 1043, 392, 225, 35, 30, 313, 9959, 81, 1003, 2113, 3775, 2884, 20282, 6096, 392, 313, 20282, 6096, 392, 313, 20282, 6096, 657, 2786, 324, 630, 32, 1553, 81, 6939, 81, 4890, 81, 2040, 81, 31147, 81, 470, 26, 8299, 77, 34, 614, 4209, 77, 35, 614, 4209, 77, 36, 1130, 284, 665, 894, 81, 416, 1308, 81, 1793, 81, 426, 81, 2023, 3033, 81, 853, 81, 1508, 26, 784, 711, 291, 630, 32, 1521, 81, 2929, 81, 681, 32, 416, 1308, 440, 2023, 3033, 392, 330, 1508, 370, 1665, 27, 291, 630, 32, 5299, 26, 784, 32, 1521, 81, 2929, 81, 681, 32, 1347, 81, 2929, 30, 2933, 27, 284, 665, 894, 81, 416, 1308, 81, 1793, 81, 426, 81, 2023, 3033, 81, 853, 81, 2455, 26, 784, 711, 291, 630, 32, 1521, 81, 2929, 81, 681, 32, 416, 1308, 440, 2023, 3033, 392, 330, 20282, 813, 370, 1665, 27, 291, 630, 32, 5299, 26, 784, 32, 1521, 81, 2929, 81, 681, 32, 1347, 81, 2929, 30, 3177, 27, 284, 665, 894, 81, 416, 1308, 81, 1793, 81, 426, 81, 2560, 1484, 36996, 81, 853, 81, 1508, 26, 784, 711, 291, 630, 32, 1521, 81, 2929, 81, 681, 32, 416, 1308, 440, 2560, 1484, 36996, 392, 313, 1508, 392, 1665, 27, 291, 630, 32, 5299, 26, 784, 32, 1521, 81, 2929, 81, 681, 32, 2560, 81, 267, 81, 41979, 30, 2933, 27, 284, 665, 894, 81, 416, 1308, 81, 1793, 81, 426, 81, 2560, 1484, 36996, 81, 853, 81, 2455, 26, 784, 711, 291, 630, 32, 1521, 81, 2929, 81, 681, 32, 416, 1308, 440, 2560, 1484, 36996, 392, 330, 20282, 813, 370, 1665, 27, 291, 630, 32, 5299, 26, 784, 32, 1521, 81, 2929, 81, 681, 32, 2560, 81, 267, 81, 41979, 30, 3177, 27, 203, 823, 6575, 3033, 4806, 4470, 26, 18986, 32, 7233, 711, 284, 665, 14553, 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, 2, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 8, 9, 9, 9, 9, 9, 7, 8, 8, 7, 8, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 11, 10, 11, 11, 11, 11, 11, 9, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 9, 9, 9, 7, 8, 7, 7, 9, 9, 9, 9, 6, 6, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 7, 8, 7, 7, 9, 9, 9, 9, 6, 6, 9, 9, 9, 7, 8, 7, 7, 9, 9, 6, 6, 9, 9, 7, 9, 9, 9, 7, 9, 9, 6, 6, 9, 9, 9, 7, 8, 7, 7, 9, 9, 9, 9, 6, 6, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 6, 5, 5, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 11, 10, 11, 10, 9, 10, 11, 10, 9, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 9, 9, 9, 9, 7, 8, 8, 7, 9, 9, 9, 7, 9, 9, 7, 7, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 8, 9, 9, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 9, 9, 9, 9, 7, 8, 8, 7, 9, 9, 9, 7, 9, 9, 9, 7, 7, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 8, 9, 9, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 9, 9, 9, 9, 7, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 7, 7, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 9, 9, 9, 9, 7, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 7, 7, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 9, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 4, 4, 4, 4, 4, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 2, 3, 1, 1, 2, 3, 1, 1, 1, 1, 2, 3, 3, 1, 1, 2, 5, 3, 5, 5, 1, 1, 1, 2, 3, 3, 1, 1, 2, 7, 3, 7, 7, 1, 2, 3, 3, 1, 2, 9, 1, 1, 2, 9, 1, 2, 3, 3, 1, 1, 2, 11, 3, 11, 11, 1, 1, 1, 2, 3, 3, 1, 1, 2, 13, 1, 1, 2, 13, 1, 1, 2, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 3, 1, 5, 2, 5, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 4, 4, 1, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 465, 2361, 203, 465, 787, 1909, 203, 465, 22977, 203, 465, 2322, 203, 465, 16539, 203, 465, 5237, 203, 465, 27374, 203, 465, 7060, 203, 465, 1133, 203, 465, 46564, 203, 465, 43008, 203, 1070, 28520, 32, 1647, 81, 2304, 1114, 878, 1188, 372, 81, 878, 203, 5177, 37, 280, 5237, 32, 1648, 81, 1338, 77, 34, 79, 610, 225, 37, 203, 29695, 32, 1676, 751, 463, 19441, 9299, 101, 25, 904, 2322, 32, 983, 32, 15705, 4064, 761, 28154, 203, 29695, 32, 29695, 26, 29695, 32, 3602, 81, 38446, 30, 330, 6343, 20097, 623, 904, 101, 25, 904, 313, 4939, 2524, 26, 3731, 32, 6118, 77, 35, 44, 5259, 203, 22296, 81, 28090, 30, 29274, 81, 34176, 280, 43008, 32, 14953, 346, 203, 589, 5394, 26, 2076, 711, 284, 46564, 32, 29695, 26, 29695, 32, 3602, 81, 38446, 30, 3124, 27, 203, 589, 19249, 518, 81, 784, 2262, 284, 1596, 44, 291, 12497, 280, 2322, 32, 15793, 346, 291, 415, 12497, 848, 225, 34, 44, 324, 5237, 32, 4775, 26, 34, 27, 284, 2940, 546, 21887, 44, 291, 484, 280, 5237, 32, 14806, 81, 1338, 8532, 35, 79, 291, 5237, 32, 4775, 440, 15793, 588, 35, 3803, 44, 904, 86, 10027, 101, 5421, 96, 20, 904, 308, 87, 32, 12864, 30, 484, 32, 466, 731, 490, 284, 2322, 32, 2021, 314, 346, 284, 2322, 32, 378, 912, 26, 410, 463, 34, 36, 36, 370, 225, 42, 490, 284, 1596, 44, 291, 12497, 280, 2322, 32, 15793, 346, 291, 415, 12497, 848, 225, 34, 44, 324, 5237, 32, 4775, 26, 34, 27, 284, 2940, 546, 21887, 44, 291, 484, 280, 5237, 32, 14806, 81, 1338, 8532, 35, 79, 291, 5237, 32, 4775, 440, 15793, 588, 36, 3803, 44, 904, 86, 10027, 101, 5421, 96, 20, 904, 308, 87, 32, 12864, 30, 484, 32, 466, 731, 490, 284, 5684, 81, 1693, 280, 2156, 3247, 1902, 33, 1693, 370, 330, 105, 683, 284, 2322, 32, 12130, 36, 26, 1902, 81, 1693, 32, 5039, 7888, 1026, 5237, 32, 21633, 32, 5039, 7888, 1157, 284, 2322, 32, 12130, 36, 26, 1902, 81, 1693, 32, 5039, 7888, 1026, 5237, 32, 9362, 32, 5039, 7888, 1157, 284, 2322, 32, 12130, 36, 26, 1902, 81, 1693, 32, 5039, 7888, 1026, 5237, 32, 8228, 32, 5039, 7888, 1157, 203, 589, 617, 2029, 81, 3780, 81, 1260, 81, 4446, 26, 605, 711, 284, 5881, 284, 12781, 372, 2761, 36008, 1688, 6835, 2297, 3398, 1688, 30, 2124, 5218, 645, 284, 273, 1173, 32110, 30, 556, 2154, 6278, 47010, 24773, 3604, 488, 1194, 54, 544, 3638, 3982, 2016, 308, 7900, 438, 310, 16577, 547, 284, 34163, 15996, 5430, 2670, 1932, 1628, 31, 19569, 35361, 432, 8930, 25, 556, 13198, 370, 461, 2761, 1169, 284, 19938, 5430, 2685, 9215, 4230, 5341, 308, 13578, 645, 322, 6822, 432, 1688, 547, 284, 5881, 284, 11685, 280, 1605, 284, 5430, 280, 706, 32, 2998, 4446, 346, 284, 436, 1477, 30, 1628, 328, 10703, 26, 4446 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 2, 2, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 2, 2, 5, 6, 6, 6, 4, 5, 4, 3, 3, 4, 0, 4, 3, 4, 4, 3, 6, 6, 6, 6, 4, 4, 7, 8, 6, 7, 6, 7, 7, 0, 4, 3, 4, 3, 5, 4, 5, 5, 5, 3, 3, 6, 6, 6, 6, 6, 6, 4, 4, 8, 7, 6, 9, 8, 9, 7, 9, 8, 7, 0, 4, 4, 4, 3, 3, 4, 4, 2, 2, 4, 5, 4, 0, 1, 1, 2, 3, 2, 1, 1, 5, 6, 5, 7, 6, 7, 7, 7, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 7, 5, 5, 5, 9, 10, 9, 10, 9, 3, 3, 4, 5, 4, 4, 4, 7, 7, 10, 11, 11, 11, 10, 9, 8, 5, 5, 8, 9, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 9, 9, 12, 11, 12, 10, 10, 11, 12, 12, 10, 2, 2, 5, 6, 6, 5, 2, 2, 5, 6, 6, 5, 7, 7, 9, 9, 9, 9, 7, 8, 7, 2, 2, 3, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 7, 5, 5, 5, 9, 10, 9, 10, 9, 3, 3, 4, 5, 4, 4, 4, 7, 7, 10, 11, 11, 11, 10, 9, 8, 5, 5, 8, 9, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 9, 9, 12, 11, 12, 10, 10, 11, 12, 12, 10, 2, 2, 5, 5, 4, 4, 6, 8, 8, 8, 8, 6, 8, 8, 2, 2, 5, 6, 6, 5, 8, 8, 8, 7, 8, 8, 7, 5, 8, 9, 7, 8, 8, 7, 2, 2, 5, 6, 6, 5, 8, 8, 8, 7, 8, 8, 7, 5, 8, 9, 7, 8, 8, 7, 2, 2, 5, 6, 6, 5, 8, 8, 8, 7, 8, 8, 7, 5, 8, 9, 7, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 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, 2, 2, 4, 4, 2, 2, 4, 4, 6, 7, 7, 6, 2, 2, 3, 4, 4, 3, 3, 5, 6 ]
[ 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, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 12, 12, 0, 13, 13, 1, 2, 2, 2, 1, 4, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 18, 18, 2, 1, 2, 18, 18, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 19, 19, 1, 1, 1, 2, 19, 19, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 3, 1, 3, 3, 3, 0, 0, 0, 2, 2, 2, 1, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 2, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 3, 3, 3, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 3, 3, 3, 1, 3, 3, 3, 0, 0, 0, 2, 2, 2, 1, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 20, 20, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 20, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 3, 1, 1, 3, 3, 1, 1 ]
[ 465, 2322, 203, 1070, 8527, 1188, 3079, 203, 1070, 8527, 32, 2387, 32, 1439, 1188, 10838, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 4377, 2304, 1188, 1491, 81, 4661, 81, 1338, 203, 3317, 280, 3079, 32, 5876, 346, 203, 50, 3317, 32, 266, 13715, 81, 2142, 463, 16479, 33, 668, 32, 916, 683, 203, 589, 1149, 81, 16479, 2262, 284, 29578, 280, 1605, 284, 436, 6093, 328, 2322, 32, 26366, 44805, 33, 16479, 48083, 1643, 26, 3550, 32, 26791, 2319, 81, 7789, 8531, 291, 415, 2322, 32, 983, 32, 34103, 44805, 33, 16479, 46052, 2473, 1643, 26, 3550, 32, 26791, 2319, 81, 7789, 30, 6093, 8531, 324, 415, 2322, 32, 983, 32, 4658, 44805, 33, 16479, 46052, 1338, 32, 1260, 2473, 1643, 26, 3550, 32, 26791, 2319, 81, 7789, 30, 6093, 8531, 400, 3099, 280, 1491, 81, 4661, 81, 1338, 44805, 33, 16479, 46052, 1338, 32, 1260, 2473, 1643, 26, 3550, 32, 26791, 2319, 81, 7789, 30, 6093, 490, 400, 29578, 32, 1689, 1162, 4661, 30, 3099, 32, 371, 463, 426, 370, 4247, 2610, 284, 29578, 32, 3323, 346, 284, 442, 5053, 16479, 950, 29578, 111, 203, 50, 3317, 32, 266, 13715, 81, 2142, 463, 16479, 33, 2184, 32, 916, 370, 8727, 81, 1819, 47, 1815, 27, 203, 589, 1149, 81, 4661, 81, 2184, 26, 1819, 711, 284, 2075, 280, 1605, 284, 436, 6093, 328, 2322, 32, 26366, 44805, 33, 16479, 48083, 1643, 26, 3550, 32, 26791, 2319, 81, 7789, 8531, 291, 415, 2322, 32, 983, 32, 34103, 44805, 33, 16479, 46052, 2473, 1643, 26, 3550, 32, 26791, 2319, 81, 7789, 30, 6093, 8531, 324, 415, 2322, 32, 983, 32, 4658, 44805, 33, 16479, 46052, 4710, 32, 916, 2473, 1643, 26, 3550, 32, 26791, 2319, 81, 7789, 30, 6093, 8531, 400, 296, 280, 2156, 44805, 33, 16479, 46052, 4710, 32, 916, 2473, 1643, 26, 3550, 32, 26791, 2319, 81, 7789, 30, 6093, 471, 330, 2051, 683, 400, 309, 280, 296, 32, 850, 346, 400, 296, 32, 2679, 346, 400, 273, 280, 10838, 26, 9941, 26, 101, 30, 330, 3310, 42, 2847, 400, 1795, 280, 273, 32, 3169, 26, 1819, 27, 400, 2075, 32, 1689, 14178, 426, 950, 6093, 30, 330, 1286, 950, 1795, 1748, 284, 442, 5053, 2184, 950, 2075, 111, 203, 50, 3317, 32, 266, 13715, 81, 2142, 463, 16479, 33, 1001, 12474, 32, 916, 683, 203, 589, 1149, 81, 4661, 81, 1001, 12474, 2262, 284, 645, 8527, 32, 12023, 32, 1574, 2536, 32, 2387, 3963, 32, 1574, 2536, 1188, 907, 284, 2075, 280, 1605, 284, 436, 6093, 328, 2322, 32, 26366, 44805, 33, 16479, 48083, 1643, 26, 3550, 32, 26791, 2319, 81, 7789, 8531, 291, 415, 2322, 32, 983, 32, 34103, 44805, 33, 16479, 46052, 2473, 1643, 26, 3550, 32, 26791, 2319, 81, 7789, 30, 6093, 8531, 324, 415, 2322, 32, 983, 32, 4658, 44805, 33, 16479, 46052, 1574, 33, 27294, 32, 2079, 2473, 1643, 26, 3550, 32, 26791, 2319, 81, 7789, 30, 6093, 8531, 400, 2075, 32, 1689, 26, 1574, 463, 16479, 46052, 27294, 32, 2079, 2473, 1643, 26, 4661, 2610, 284, 442, 5053, 1001, 12474, 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, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 0, 2, 5, 4, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 3, 3, 4, 4, 4, 6, 7, 6, 10, 10, 10, 9, 8, 10, 9, 10, 10, 10, 10, 8, 4, 4, 6, 9, 10, 8, 9, 8, 12, 12, 12, 12, 11, 10, 12, 11, 12, 12, 12, 12, 10, 10, 10, 6, 6, 8, 11, 12, 10, 11, 10, 14, 14, 14, 14, 14, 14, 14, 13, 12, 14, 13, 14, 14, 14, 14, 12, 12, 12, 8, 8, 11, 11, 13, 13, 13, 13, 13, 17, 17, 17, 17, 17, 17, 17, 16, 15, 17, 16, 17, 17, 17, 17, 15, 15, 15, 9, 9, 12, 13, 12, 14, 13, 13, 15, 16, 15, 17, 17, 15, 15, 3, 3, 6, 7, 6, 3, 3, 4, 8, 8, 6, 5, 0, 2, 5, 4, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 5, 5, 3, 3, 4, 4, 4, 6, 7, 6, 10, 10, 10, 9, 8, 10, 9, 10, 10, 10, 10, 8, 4, 4, 6, 9, 10, 8, 9, 8, 12, 12, 12, 12, 11, 10, 12, 11, 12, 12, 12, 12, 10, 10, 10, 6, 6, 8, 11, 12, 10, 11, 10, 14, 14, 14, 14, 14, 14, 14, 13, 12, 14, 13, 14, 14, 14, 14, 12, 12, 12, 8, 8, 11, 11, 13, 17, 17, 17, 17, 17, 17, 17, 16, 15, 17, 16, 17, 17, 17, 17, 15, 15, 15, 13, 15, 15, 9, 9, 11, 11, 13, 14, 13, 9, 9, 12, 13, 12, 9, 9, 11, 11, 13, 15, 15, 16, 15, 15, 17, 17, 17, 9, 9, 11, 11, 13, 14, 13, 14, 13, 9, 9, 12, 13, 12, 16, 16, 14, 13, 13, 16, 16, 14, 13, 3, 3, 4, 8, 8, 6, 5, 0, 2, 5, 4, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 6, 5, 6, 6, 5, 6, 6, 5, 6, 6, 4, 4, 3, 3, 5, 5, 3, 3, 4, 4, 4, 6, 7, 6, 10, 10, 10, 9, 8, 10, 9, 10, 10, 10, 10, 8, 4, 4, 6, 9, 10, 8, 9, 8, 12, 12, 12, 12, 11, 10, 12, 11, 12, 12, 12, 12, 10, 10, 10, 6, 6, 8, 11, 12, 10, 11, 10, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 12, 14, 13, 14, 14, 14, 14, 12, 12, 12, 8, 8, 12, 13, 12, 14, 14, 18, 18, 18, 18, 18, 18, 17, 16, 17, 16, 3, 3, 4, 8, 8, 8 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 6, 1, 1, 1, 1, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 4, 4, 3, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 7, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 1, 3, 3, 0, 2, 1, 3, 3, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 4, 4, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 4, 4, 1, 6, 6, 1, 8, 8, 0, 0, 4, 4, 0, 0, 4, 4, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 2 ]
[ 465, 309, 3657, 36, 203, 465, 309, 3657, 36, 32, 407, 203, 465, 309, 3657, 36, 32, 2713, 374, 1435, 619, 309, 3657, 36, 893, 203, 465, 540, 789, 32, 751, 203, 465, 540, 789, 32, 5057, 203, 465, 540, 789, 32, 25502, 203, 465, 540, 789, 32, 5379, 203, 1070, 638, 2282, 1188, 5980, 81, 452, 81, 8495, 4156, 203, 9302, 81, 8356, 280, 301, 284, 309, 3657, 36, 893, 32, 16507, 81, 7532, 81, 29558, 44, 225, 330, 30671, 370, 284, 309, 3657, 36, 893, 32, 16507, 81, 7532, 81, 17189, 44, 225, 330, 17189, 370, 284, 309, 3657, 36, 893, 32, 16507, 81, 7532, 81, 23636, 44, 225, 330, 1926, 1139, 370, 284, 309, 3657, 36, 893, 32, 16507, 81, 7532, 81, 4643, 11603, 44, 330, 2595, 66, 25, 203, 111, 203, 9302, 81, 66, 15835, 3020, 280, 301, 284, 309, 3657, 36, 893, 32, 16507, 81, 7532, 81, 29558, 44, 5608, 92, 348, 49, 89, 37143, 284, 309, 3657, 36, 893, 32, 16507, 81, 7532, 81, 17189, 44, 5608, 1645, 37143, 284, 309, 3657, 36, 893, 32, 16507, 81, 7532, 81, 23636, 44, 5608, 37002, 33113, 370, 284, 309, 3657, 36, 893, 32, 16507, 81, 7532, 81, 4643, 11603, 44, 5608, 21772, 22, 25, 203, 111, 203, 589, 2454, 2262, 284, 3649, 617, 17213, 284, 617, 17213, 280, 309, 3657, 36, 893, 32, 16507, 81, 3573, 26, 1036, 26, 9302, 81, 8356, 490, 284, 540, 789, 32, 5057, 32, 7133, 463, 3483, 32, 890, 81, 3626, 370, 537, 81, 3626, 27, 203, 589, 707, 944, 2262, 284, 309, 3657, 36, 893, 32, 16507, 81, 28751, 346, 203, 589, 537, 81, 3626, 26, 1567, 30, 4181, 711, 284, 436, 4550, 30, 5257, 328, 31450, 81, 66, 15835, 3020, 32, 3028, 2262, 291, 415, 617, 17213, 549, 4550, 44, 324, 4181, 32, 5379, 32, 3317, 81, 4554, 26, 1658, 4888, 30, 5257, 27, 324, 617, 751, 32, 2811, 463, 10655, 2193, 436, 301, 3972, 111, 5703, 6418, 4550, 47, 9302, 81, 8356, 77, 3972, 1130, 291, 813, 44, 324, 617, 751, 32, 8447, 463, 5288, 372, 2454, 2193, 436, 301, 3972, 111, 5703, 6418, 4550, 47, 9302, 81, 8356, 77, 3972, 1130, 203, 823, 4361, 750, 26, 100, 789, 32, 5379, 32, 33969, 711, 284, 1156, 18645, 505, 280, 2726, 12537, 370, 27, 284, 665, 1156, 1664, 3207, 784, 30, 11213, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 17094, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 32, 12537, 280, 11213, 284, 665, 1156, 4025, 3207, 784, 711, 291, 309, 3657, 36, 32, 12352, 81, 7016, 8811, 26, 784, 32, 12537, 27, 284, 665, 622, 81, 605, 26, 784, 30, 5168, 47, 2521, 711, 291, 415, 5168, 44, 324, 442, 630, 32, 12537, 32, 8078, 32, 15047, 2867, 5545, 79, 291, 442, 630, 32, 12537, 32, 8078, 32, 15047, 203, 823, 4361, 4888, 44, 284, 477, 17614, 284, 665, 883, 81, 944, 26, 6933, 30, 1519, 30, 9899, 711, 291, 442, 2933, 284, 477, 17614, 284, 665, 2454, 26, 6933, 30, 1519, 30, 9899, 711, 291, 2887 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 0, 1, 1, 4, 4, 3, 4, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 5, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 3, 3, 6, 6, 6, 5, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 3, 3, 6, 6, 6, 5, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 3, 3, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 5, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 5, 6, 6, 6, 6, 6, 4, 4, 6, 6, 3, 3, 6, 6, 6, 5, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 3, 3, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 3, 3, 0, 1, 1, 2, 1, 1, 3, 4, 2, 2, 5, 4, 4, 7, 7, 7, 6, 7, 7, 7, 6, 8, 8, 9, 9, 9, 8, 2, 2, 7, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 7, 5, 6, 6, 5, 0, 1, 1, 2, 2, 1, 1, 6, 6, 6, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 3, 3, 6, 6, 6, 6, 5, 6, 5, 3, 3, 5, 7, 6, 6, 5, 5, 5, 10, 11, 9, 10, 10, 10, 9, 10, 10, 9, 9, 9, 6, 6, 10, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 10, 12, 12, 12, 11, 12, 11, 5, 5, 6, 6, 6, 11, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 13, 13, 13, 12, 13, 12, 0, 1, 1, 2, 2, 5, 5, 4, 5, 3, 4, 2, 1, 1, 5, 5, 4, 4, 7, 7, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 8, 8, 7, 8, 8, 8, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 5, 5, 5, 7, 11, 12, 10, 11, 9, 10, 8, 10, 8, 4, 4, 5, 8, 9, 7, 8, 6, 7, 0, 1, 1, 2, 1, 1, 1, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 4, 4 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 0, 4, 4, 0, 1, 2, 0, 5, 5, 0, 1, 2, 0, 6, 6, 0, 1, 2, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 3, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 5, 5, 5, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 7, 7, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 5, 5, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 7, 7, 1, 1, 2, 2, 2, 0, 10, 10, 2, 10, 10, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 0, 11, 11, 1, 2, 11, 11, 0, 0, 0, 0, 2, 2, 2, 1, 0, 12, 12, 1, 1, 2, 1, 2, 2, 2, 12, 12, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 0, 0, 2, 2, 2, 0, 13, 13, 1, 2, 0, 0, 0, 2, 1, 2, 2, 13, 13, 0, 0, 0, 0, 1, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 1, 0, 2, 0, 2, 1, 2, 0, 14, 14, 1, 14, 14, 14, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1 ]
[ 465, 16672, 203, 465, 2771, 2872, 203, 465, 2361, 203, 465, 2322, 203, 465, 316, 203, 465, 22045, 36, 203, 589, 16469, 81, 8680, 26, 878, 711, 284, 665, 316, 34393, 26, 2872, 711, 291, 309, 280, 2530, 32, 1363, 26, 34, 27, 291, 415, 309, 32, 15990, 3247, 7831, 324, 442, 313, 313, 4456, 813, 44, 324, 442, 309, 284, 5257, 280, 316, 32, 6993, 26, 291, 540, 25, 306, 3424, 33113, 110, 19323, 28, 3424, 21194, 1958, 110, 6945, 18470, 1736, 8302, 12456, 32291, 3490, 28, 6945, 17331, 18470, 1736, 8302, 41727, 1492, 39207, 21684, 291, 316, 32, 6737, 2320, 523, 316, 32, 24924, 1466, 3123, 284, 829, 284, 442, 316, 32, 1113, 26, 5607, 30, 316, 34393, 30, 1344, 27, 203, 589, 7623, 26, 2184, 711, 284, 1326, 280, 22045, 36, 32, 1104, 463, 525, 555, 289, 1915, 267, 32, 1088, 33, 105, 8109, 33, 1237, 33, 6993, 32, 1260, 683, 284, 1326, 32, 669, 81, 2111, 463, 1777, 31, 620, 370, 330, 3164, 33, 1260, 683, 284, 1789, 280, 22045, 36, 32, 305, 33786, 26, 1357, 30, 2361, 32, 16958, 26, 2184, 490, 284, 442, 2361, 32, 12474, 26, 1986, 32, 850, 1157, 203, 589, 4826, 26, 983, 711, 284, 442, 428, 291, 2322, 32, 983, 32, 2524, 26, 1515, 30, 803, 27, 324, 436, 308, 1515, 30, 4950, 2276, 27, 328, 2322, 32, 11905, 26, 983, 27, 400, 436, 803, 328, 2771, 2872, 32, 2029, 26, 2536, 30, 39395, 4962, 657, 284, 1481, 203, 589, 2575, 2262, 284, 4118, 280, 16672, 32, 26633, 26, 2310, 47, 291, 1524, 7845, 312, 3362, 372, 624, 8109, 308, 525, 555, 289, 1915, 267, 32, 1088, 33, 105, 8109, 547, 2607, 2704, 3117, 30, 322, 3460, 23421, 312, 1292, 12071, 372, 322, 18767, 2607, 3362, 544, 624, 8109, 461, 3217, 225, 34, 32, 2704, 1048, 30, 561, 23421, 322, 2607, 1789, 645, 322, 624, 8109, 2330, 461, 3217, 225, 35, 32, 2607, 5830, 688, 322, 8446, 884, 42701, 645, 1169, 322, 4826, 328, 322, 2607, 18767, 3362, 32, 291, 1524, 284, 829, 284, 4118, 32, 669, 81, 2669, 463, 5660, 370, 827, 47, 466, 30, 3049, 47, 291, 1524, 51, 3362, 372, 7623, 372, 624, 8109, 32, 2607, 886, 1519, 1631, 526, 3154, 7976, 556, 6491, 372, 322, 1550, 3362, 32, 2607, 8746, 30, 322, 4467, 432, 322, 2276, 18767, 372, 624, 8109, 1098, 1169, 526, 2607, 6491, 372, 458, 3362, 32, 1348, 3352, 30, 1591, 883, 12277, 6377, 322, 2607, 3362, 372, 526, 3056, 6060, 33, 2250, 33, 1017, 370, 461, 322, 18767, 2276, 2607, 1098, 526, 18767, 619, 31, 325, 2953, 4528, 3051, 318, 821, 3056, 6060, 33, 2250, 33, 1017, 25, 291, 3330, 657, 284, 4118, 32, 669, 81, 2669, 463, 1831, 370, 827, 47, 466, 30, 3049, 47, 291, 1524, 1318, 2575, 1914, 803, 32, 2607, 886, 1519, 1631, 526, 3154, 7976, 556, 6491, 372, 322, 1550, 3362, 32, 291, 1524, 284, 829, 284, 2181, 280, 4118, 32, 2208, 81, 1132, 346, 284, 3362, 280, 2322, 32, 983, 32, 21379, 26, 1132, 32, 5660, 27, 284, 415 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 7, 8, 7, 9, 5, 5, 7, 9, 5, 5, 6, 6, 6, 8, 2, 2, 4, 4, 6, 7, 6, 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, 6, 6, 8, 9, 9, 7, 7, 8, 9, 9, 9, 6, 6, 2, 2, 3, 5, 6, 5, 6, 5, 5, 6, 5, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 7, 6, 7, 6, 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, 7, 7, 5, 7, 7, 7, 7, 2, 2, 4, 4, 7, 6, 7, 7, 6, 7, 6, 6, 8, 9, 8, 9, 8, 2, 2, 3, 5, 6, 5, 8, 7, 8, 7, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 6, 4, 4, 5, 7, 6, 6, 6, 6, 5, 5, 7, 8, 7, 8, 7, 4, 4, 5, 5, 5, 8, 7, 8, 7, 8, 7, 7, 9, 9, 4, 4, 0, 1, 1, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 6, 7, 5, 5, 6, 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, 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, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 6, 7, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 4, 4, 7, 8, 6, 7, 6, 8, 7, 8, 6, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 4, 4, 4, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 3, 3, 2, 2, 2, 2, 1, 1, 4, 4, 2, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 0, 7, 7, 2, 1, 2, 7, 7, 0, 0, 0, 0, 2, 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, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 4, 4, 3, 0, 2, 1, 0, 0, 2, 1, 0, 8, 8, 2, 1, 2, 8, 8, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 9, 9, 2, 9, 9, 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, 1, 1, 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, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 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, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4 ]
[ 1070, 8527, 32, 2387, 32, 1536, 9211, 1188, 7140, 203, 1070, 8527, 32, 858, 1188, 7155, 7233, 203, 1070, 8527, 32, 2304, 32, 39804, 445, 2582, 1188, 3634, 81, 4770, 203, 1070, 4377, 2304, 1188, 4705, 203, 823, 19660, 4470, 26, 5291, 7233, 711, 284, 477, 5522, 14178, 2524, 34, 35, 950, 23728, 312, 110, 2524, 9318, 313, 2038, 18143, 284, 665, 894, 81, 2524, 34, 35, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 2524, 34, 35, 370, 5053, 83, 950, 2107, 4893, 370, 330, 5992, 549, 597, 785, 1748, 291, 630, 32, 5299, 26, 2024, 30, 330, 4893, 30, 11823, 549, 757, 45, 597, 683, 284, 477, 5522, 14178, 2524, 34, 36, 950, 330, 4572, 2267, 11731, 2126, 3328, 1656, 312, 110, 2524, 9318, 313, 2038, 4572, 943, 2837, 11731, 3328, 18143, 284, 665, 894, 81, 2524, 34, 36, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 2524, 34, 36, 370, 5053, 83, 950, 2107, 4893, 370, 330, 5992, 549, 597, 785, 1748, 291, 630, 32, 5299, 26, 2024, 30, 330, 4893, 30, 11823, 549, 597, 683, 284, 477, 5522, 14178, 2524, 34, 37, 950, 23728, 312, 110, 2524, 1924, 549, 757, 45, 313, 2038, 18143, 284, 665, 894, 81, 2524, 34, 37, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 2524, 34, 37, 370, 5053, 83, 950, 2107, 4893, 370, 330, 5992, 549, 597, 785, 1748, 291, 630, 32, 5299, 26, 2024, 30, 330, 4893, 549, 757, 45, 11823, 549, 757, 45, 597, 683, 284, 477, 5522, 14178, 2524, 34, 38, 950, 330, 4572, 2267, 11731, 2126, 3328, 1656, 312, 110, 2524, 1924, 549, 757, 45, 313, 2038, 4572, 943, 2837, 11731, 3328, 18143, 284, 665, 894, 81, 2524, 34, 38, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 2524, 34, 38, 370, 5053, 83, 950, 2107, 4893, 370, 330, 5992, 549, 597, 785, 1748, 291, 630, 32, 5299, 26, 2024, 30, 330, 4893, 549, 757, 45, 11823, 549, 597, 683, 284, 477, 5522, 14178, 2524, 34, 39, 950, 23728, 312, 110, 2524, 44, 869, 2038, 18143, 284, 665, 894, 81, 2524, 34, 39, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 2524, 34, 39, 370, 5053, 83, 950, 2107, 4893, 370, 330, 5992, 549, 597, 2188, 330, 869, 950, 330, 549, 330, 1748, 291, 630, 32, 5299, 26, 2024, 30, 330, 4893, 549, 757, 45, 11823, 549, 757, 45, 597, 683, 284, 477, 5522, 14178, 2524, 34, 40, 950, 23728, 312, 110, 2524, 44, 869, 2038, 18143, 284, 665, 894, 81, 2524, 34, 40, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 2524, 34, 40, 370, 5053, 83, 950, 2107, 4893, 370, 330, 5992, 549, 597, 2188, 330, 869, 950, 3634, 81, 4770, 463, 549, 11134, 1748, 291, 630, 32, 5299, 26, 2024, 30, 330, 4893, 549, 11823, 549, 757 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 6, 6, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 14, 14, 12, 14, 14, 14, 14, 10, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 6, 6, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 14, 14, 12, 14, 14, 14, 14, 10, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 2, 2, 6, 6, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 14, 14, 12, 14, 14, 14, 14, 10, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 6, 6, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 14, 14, 12, 14, 14, 14, 14, 10, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 6, 6, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 14, 14, 12, 14, 14, 14, 14, 10, 13, 13, 11, 13, 13, 10, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 6, 6, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 14, 14, 12, 14, 14, 14, 14, 10, 13, 13, 11, 13, 13, 13, 15, 15, 10, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10 ]
[ 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 4, 4, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 4, 4, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 2, 3, 1, 1, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 2, 3, 0, 0, 1, 1, 1, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 30, 20654, 30, 7976, 81, 465, 203, 1070, 49093, 1188, 319, 261, 203, 1070, 7062, 32, 21332, 32, 39362, 32, 2208, 1188, 1984, 2208, 203, 465, 2361, 203, 465, 5741, 203, 1070, 13625, 1188, 20393, 885, 203, 465, 5167, 203, 1070, 5167, 1188, 4448, 984, 203, 1070, 5463, 371, 1188, 3973, 203, 1070, 5463, 371, 32, 3038, 1188, 13925, 203, 1070, 5463, 371, 32, 1567, 1188, 1692, 203, 751, 280, 5741, 32, 10579, 463, 1155, 846, 81, 668, 683, 203, 823, 28903, 846, 885, 26, 12907, 885, 711, 284, 5420, 81, 3631, 280, 2107, 7598, 1199, 81, 314, 370, 330, 7598, 100, 381, 81, 314, 370, 330, 7598, 934, 2939, 81, 314, 370, 330, 42173, 81, 314, 370, 330, 7794, 370, 330, 1155, 846, 81, 314, 785, 284, 5365, 280, 301, 291, 330, 681, 950, 330, 1473, 370, 291, 330, 4642, 950, 301, 324, 330, 1439, 81, 965, 950, 5053, 681, 950, 330, 800, 8885, 324, 330, 625, 950, 5053, 681, 950, 330, 2171, 370, 330, 1536, 950, 225, 42, 34, 835, 324, 330, 1237, 81, 678, 950, 5053, 681, 950, 330, 800, 8885, 324, 330, 1017, 81, 4611, 950, 5053, 681, 950, 330, 4398, 370, 330, 1536, 950, 2933, 835, 324, 330, 2585, 81, 1211, 29922, 950, 5053, 681, 950, 330, 4398, 370, 330, 1536, 950, 2933, 835, 324, 330, 1017, 81, 605, 950, 5053, 681, 950, 330, 4398, 370, 330, 1536, 950, 3177, 835, 324, 330, 1903, 81, 9785, 81, 43972, 950, 5053, 681, 950, 330, 4398, 370, 330, 1536, 950, 2933, 835, 324, 330, 3617, 81, 43972, 81, 12655, 81, 2536, 950, 5053, 681, 950, 330, 4398, 370, 330, 1536, 950, 3177, 835, 324, 330, 3617, 81, 43972, 81, 1793, 81, 2536, 950, 5053, 681, 950, 330, 4398, 370, 330, 1536, 950, 3177, 111, 291, 801, 291, 330, 3648, 950, 2107, 1237, 81, 678, 370, 330, 1439, 81, 965, 2188, 291, 330, 12187, 3289, 950, 3177, 284, 320, 284, 665, 9484, 81, 1357, 81, 4164, 26, 784, 30, 1695, 81, 965, 30, 2601, 30, 4125, 81, 678, 711, 291, 8436, 965, 280, 1984, 2208, 26, 1439, 81, 965, 27, 291, 1245, 32, 2811, 463, 10916, 9484, 1149, 1326, 683, 291, 1984, 280, 6611, 101, 555, 23, 101, 6069, 101, 23, 101, 33, 1237, 33, 8442, 25, 904, 308, 12881, 965, 32, 13627, 30, 8436, 965, 32, 1299, 881, 30, 2601, 30, 8436, 965, 32, 983, 27, 291, 4826, 280, 5053, 74, 31, 2551, 31, 953, 950, 4125, 81, 678, 111, 291, 442, 1984, 30, 4826, 284, 665, 11470, 81, 1357, 26, 784, 30, 1695, 81, 965, 30, 2601, 30, 4125, 81, 678, 711, 291, 8436, 965, 280, 1984, 2208, 26, 1439, 81, 965, 27, 291, 1245, 32, 2811, 463, 10916, 9484, 11470, 1326, 683, 291, 1984, 280, 6611, 101, 555, 23, 101, 6069, 101, 23, 101, 33, 1237, 33, 8442, 33, 10122, 49, 3890, 1057, 904, 308, 12881, 965, 32, 13627, 30, 8436, 965, 32, 1299, 881, 30, 2601, 30, 8436, 965, 32, 983, 27, 291, 4826, 280, 5053, 74, 31 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 2, 2, 4, 4, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 7, 7, 10, 10, 10, 10, 8, 12, 12, 10, 12, 12, 7, 7, 10, 10, 8, 12, 12, 10, 12, 12, 9, 12, 12, 10, 11, 11, 9, 7, 7, 10, 10, 10, 10, 8, 12, 12, 10, 12, 12, 7, 7, 10, 10, 10, 10, 8, 12, 12, 10, 12, 12, 9, 12, 12, 10, 9, 7, 7, 10, 10, 10, 10, 10, 8, 12, 12, 10, 12, 12, 9, 12, 12, 10, 9, 7, 7, 10, 10, 10, 10, 8, 12, 12, 10, 12, 12, 9, 12, 12, 10, 9, 7, 7, 10, 10, 10, 10, 10, 10, 8, 12, 12, 10, 12, 12, 9, 12, 12, 10, 9, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 12, 12, 10, 12, 12, 9, 12, 12, 10, 9, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 12, 12, 10, 12, 12, 9, 12, 12, 10, 9, 7, 7, 5, 5, 8, 8, 6, 9, 9, 9, 9, 7, 9, 9, 9, 9, 5, 5, 8, 8, 8, 6, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 6, 6, 8, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 10, 10, 9, 10, 8, 8, 10, 9, 10, 10, 8, 8, 8, 8, 10, 9, 10, 8, 4, 4, 6, 6, 10, 10, 10, 10, 10, 10, 8, 9, 9, 7, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 6, 6, 8, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 10, 10, 9, 10, 8, 8, 10, 9, 10, 10, 8, 8, 8, 8, 10, 9, 10, 8, 4, 4, 6, 6, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 0, 6, 6, 0, 7, 7, 7, 7, 0, 0, 8, 8, 0, 8, 8, 0, 9, 9, 0, 1, 2, 9, 9, 0, 10, 10, 0, 1, 2, 10, 10, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 12, 12, 1, 1, 2, 1, 1, 2, 12, 12, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 1, 1, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 1, 2, 1, 1, 2, 2, 1, 2, 3, 2, 2, 2, 1, 1, 1, 1, 2, 9, 1, 2, 1, 1, 2, 2, 1, 2, 3, 2, 2, 2, 1, 1, 1, 2, 11, 1, 2, 1, 1, 2, 2, 1, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 2, 13, 1, 2, 1, 1, 2, 2, 1, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 15, 1, 2, 1, 1, 2, 2, 1, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 17, 1, 2, 1, 1, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 5, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 7, 2, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 7, 7, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 3, 2, 2, 2, 2, 2, 2, 0, 7, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 4, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 7, 7, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 3, 2, 2, 2, 2, 2, 2, 0, 7, 2, 2, 4, 4, 0, 0, 1, 1 ]
[ 1070, 6677, 106, 978, 32, 20029, 32, 7927, 1188, 9807, 203, 1070, 6677, 106, 978, 32, 20029, 32, 2543, 3767, 32, 9699, 1188, 14627, 203, 589, 3632, 81, 41542, 26, 3385, 711, 284, 442, 14627, 26, 7927, 26, 3385, 30, 313, 28850, 2131, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 7, 7, 8, 7, 7, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 4, 1, 6, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 10245, 203, 465, 5237, 203, 1070, 4654, 9391, 32, 4882, 32, 1439, 1188, 5298, 81, 6309, 203, 1070, 4654, 9391, 32, 4882, 32, 1439, 1188, 5298, 81, 2516, 203, 1070, 4654, 9391, 32, 4882, 32, 1439, 1188, 3500, 81, 823, 203, 1070, 4654, 9391, 32, 4882, 32, 1439, 1188, 3678, 7233, 203, 1070, 4654, 9391, 32, 4882, 32, 1439, 1188, 11706, 393, 1291, 7233, 203, 1070, 4654, 9391, 32, 4882, 32, 1439, 1188, 894, 81, 1199, 203, 1070, 4654, 9391, 32, 4882, 32, 3378, 1188, 319, 203, 823, 2108, 1176, 2424, 26, 1243, 7233, 711, 284, 7171, 280, 428, 1883, 1243, 30, 18140, 1243, 79, 284, 617, 2632, 280, 7138, 32, 6665, 284, 617, 86, 280, 7138, 32, 770, 284, 617, 102, 280, 7138, 32, 1003, 284, 617, 605, 280, 308, 291, 2726, 1594, 81, 1495, 370, 330, 878, 81, 1495, 370, 330, 410, 81, 1495, 370, 330, 1808, 81, 1495, 370, 330, 12710, 81, 1495, 35, 370, 330, 6665, 81, 1495, 370, 330, 770, 81, 1495, 370, 330, 1003, 81, 1495, 1425, 291, 2726, 85, 35, 370, 263, 330, 102, 35, 370, 2033, 35, 30, 1468, 35, 32, 34, 30, 2264, 313, 35, 32, 34, 392, 1468, 617, 2632, 26, 36, 34, 35, 34, 30, 225, 35, 30, 225, 35, 471, 225, 617, 86, 26, 36, 34, 35, 34, 30, 225, 35, 30, 225, 35, 471, 617, 102, 26, 35, 30, 225, 34, 3662, 291, 2726, 85, 36, 370, 263, 330, 102, 36, 370, 2033, 36, 30, 1468, 36, 32, 34, 30, 2264, 313, 36, 32, 34, 392, 1468, 617, 2632, 26, 36, 34, 35, 34, 30, 225, 35, 30, 225, 36, 471, 225, 617, 86, 26, 36, 34, 35, 34, 30, 225, 35, 30, 225, 36, 471, 617, 102, 26, 36, 30, 225, 34, 3662, 291, 2726, 85, 37, 370, 263, 330, 102, 37, 370, 2033, 37, 30, 1468, 37, 32, 34, 30, 2264, 313, 37, 32, 34, 392, 1468, 617, 2632, 26, 36, 34, 35, 34, 30, 225, 35, 30, 225, 37, 471, 225, 617, 86, 26, 36, 34, 35, 34, 30, 225, 35, 30, 225, 37, 471, 617, 102, 26, 37, 30, 225, 34, 3662, 284, 829, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 1006, 1176, 2424, 30, 630, 547, 23741, 346, 291, 630, 32, 1495, 81, 605, 280, 2149, 291, 4826, 280, 630, 1114, 605, 77, 34, 79, 291, 436, 2698, 328, 630, 1114, 605, 77, 35, 44, 2786, 324, 29851, 280, 9282, 1243, 346, 324, 436, 595, 30, 932, 328, 10703, 26, 643, 711, 400, 5601, 280, 4826, 77, 91, 79, 400, 630, 32, 1495, 81, 605, 32, 37329, 26, 2437, 30, 11544, 400, 630, 32, 1495, 81, 605, 77, 2437, 997, 1689, 26, 748, 27, 400, 39506, 26, 14276, 30, 5601, 30, 932, 27, 324, 29851, 32, 2853, 346, 284, 665, 1201, 22338, 26, 784, 30, 2678, 30, 2910, 711, 291, 2467, 280, 9282, 1243, 32, 1613, 922, 2767, 26, 99, 547, 1174, 81, 1170, 26, 1883, 1243, 32, 314, 27, 291, 630, 32, 5299, 2009, 14276, 32, 1594, 81, 1495, 436 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 5, 5, 6, 5, 2, 2, 5, 4, 4, 5, 6, 2, 2, 5, 4, 4, 5, 6, 2, 2, 5, 4, 4, 5, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 6, 6, 8, 8, 8, 6, 7, 6, 6, 7, 7, 7, 6, 6, 6, 8, 8, 8, 8, 6, 6, 8, 8, 9, 9, 9, 9, 8, 8, 9, 8, 8, 9, 8, 6, 6, 8, 8, 9, 9, 9, 9, 8, 8, 9, 8, 8, 9, 8, 6, 8, 8, 9, 8, 8, 9, 8, 5, 5, 8, 8, 8, 6, 6, 8, 8, 8, 6, 7, 6, 6, 7, 7, 7, 6, 6, 6, 8, 8, 8, 8, 6, 6, 8, 8, 9, 9, 9, 9, 8, 8, 9, 8, 8, 9, 8, 6, 6, 8, 8, 9, 9, 9, 9, 8, 8, 9, 8, 8, 9, 8, 6, 8, 8, 9, 8, 8, 9, 8, 5, 5, 8, 8, 8, 6, 6, 8, 8, 8, 6, 7, 6, 6, 7, 7, 7, 6, 6, 6, 8, 8, 8, 8, 6, 6, 8, 8, 9, 9, 9, 9, 8, 8, 9, 8, 8, 9, 8, 6, 6, 8, 8, 9, 9, 9, 9, 8, 8, 9, 8, 8, 9, 8, 6, 8, 8, 9, 8, 8, 9, 8, 5, 5, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 6, 6, 8, 9, 7, 8, 7, 4, 4, 5, 5, 5, 7, 8, 6, 8, 7, 6, 5, 5, 8, 8, 10, 10, 6, 6, 7, 8, 8, 7, 7, 9, 10, 9, 7, 7, 10, 10, 11, 12, 11, 8, 8, 12, 13, 13, 13, 11, 12, 11, 12, 11, 11, 8, 8, 13, 14, 14, 14, 12, 13, 12, 12, 11, 12, 11, 8, 8, 11, 12, 11, 11, 11, 11, 11, 6, 6, 9, 10, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 13, 12, 13, 12, 11, 10, 11, 10, 9, 9, 9, 8, 10, 10, 9, 10, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 9, 9, 1, 1, 2, 1, 1, 2, 9, 9, 0, 0, 1, 1, 2, 2, 3, 2, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 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, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 3, 1, 1, 2, 3, 5, 3, 3, 7, 7, 7, 3, 3, 3, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 3, 0, 1, 1, 1, 1, 3, 1, 2, 2, 1, 1, 2, 5, 5, 1, 1, 2, 5, 5, 5, 5, 7, 7, 7, 5, 5, 5, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 5, 0, 1, 1, 1, 1, 3, 1, 2, 2, 1, 1, 2, 7, 7, 1, 1, 2, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 2, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 7, 0, 1, 1, 1, 1, 3, 1, 2, 2, 4, 4, 5, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 4, 4, 3, 3, 3, 0, 2, 3, 0, 2, 3, 3, 3, 0, 0, 0, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 5, 5, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 5, 5, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 4, 4, 6, 1, 2, 1, 2, 2, 2, 2, 2, 6, 6, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1 ]
[ 1070, 7062, 1188, 6216, 81, 5248, 203, 9138, 81, 5248, 32, 3789, 81, 17030, 346, 203, 1070, 49093, 1188, 8529, 203, 1070, 11169, 32, 26354, 1188, 1695, 800, 203, 465, 11412, 203, 465, 2361, 203, 465, 5741, 203, 465, 22045, 32, 731, 203, 465, 5237, 203, 465, 29590, 203, 465, 11171, 203, 1070, 8527, 32, 11400, 1188, 10156, 203, 1070, 8527, 32, 4338, 32, 28497, 32, 525, 1188, 1205, 81, 3705, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 1270, 44, 334, 645, 4281, 81, 13497, 5538, 32, 1237, 1188, 25573, 5538, 334, 645, 4281, 81, 13497, 5538, 32, 11452, 1188, 25573, 5538, 2084, 3985, 1104, 203, 7343, 29986, 44, 334, 5776, 32, 5691, 463, 6656, 81, 13497, 5538, 2297, 646, 2431, 683, 203, 1070, 18765, 32, 1356, 32, 11025, 81, 1040, 1188, 37877, 203, 1070, 18765, 32, 1356, 32, 11452, 81, 3169, 444, 1188, 35529, 984, 203, 1070, 18765, 32, 1356, 32, 91, 35, 42, 96, 1188, 18548, 81, 9941, 203, 1070, 18765, 32, 1356, 32, 2958, 81, 1040, 1188, 1505, 81, 8644, 203, 1070, 18765, 32, 3378, 1188, 6211, 36, 203, 1070, 26252, 32, 14287, 81, 1237, 1188, 622, 81, 16913, 30, 622, 81, 5473, 81, 605, 203, 1070, 16807, 32, 32282, 32, 1439, 1188, 622, 81, 1237, 30, 31618, 203, 1070, 16807, 32, 28497, 1188, 4125, 81, 731, 81, 4531, 203, 1070, 16807, 32, 3378, 1188, 7502, 318, 36115, 1104, 30, 15820, 81, 2138, 203, 1070, 44874, 32, 4627, 1188, 7376, 1572, 1917, 203, 1070, 44874, 32, 761, 81, 1643, 1188, 35643, 2207, 203, 1070, 44874, 32, 4151, 1188, 5692, 30, 11089, 81, 1495, 81, 681, 81, 1070, 81, 7088, 203, 1070, 44874, 32, 1055, 483, 32, 25021, 1188, 617, 25021, 81, 3245, 203, 1070, 44874, 32, 1055, 483, 32, 1439, 1188, 622, 81, 1237, 203, 1070, 44874, 32, 1055, 483, 32, 28947, 81, 2602, 1188, 506, 1204, 35182, 203, 1070, 44874, 32, 1055, 483, 32, 30840, 928, 1188, 488, 9221, 928, 35182, 30, 617, 1297, 81, 30088, 81, 4170, 203, 1070, 44874, 32, 1055, 483, 32, 38204, 81, 2602, 1188, 447, 3463, 23974, 35182, 203, 1070, 44874, 32, 1055, 483, 32, 37623, 874, 1188, 1420, 81, 5664, 41540, 30, 617, 371, 81, 1237, 203, 1070, 44874, 32, 1055, 483, 32, 2602, 1188, 617, 1297, 81, 4603, 30, 617, 1297, 81, 1274, 30, 617, 1297, 81, 1274, 81, 1070, 81, 1696, 203, 1070, 44874, 32, 3378, 1188, 617, 2853, 81, 9247, 203, 1070, 44874, 32, 30088, 81, 1580, 1188, 45010, 1486, 30, 7482, 81, 33751, 81, 3364, 203, 1070, 44874, 32, 1055, 483, 32, 1306, 2081, 1188, 5449, 2081, 35182, 203, 325, 5237, 32, 1648, 81, 1338, 77, 34, 79, 848, 225, 36, 44, 334, 645, 3363, 1188, 44524, 619, 802, 81, 716, 334, 645, 22045, 32, 2208, 1188, 1984, 2208, 30, 707, 7345, 619, 22045, 81, 311, 7345, 334, 645, 8527, 32, 2304, 32, 7485, 1188, 40946, 619, 617, 203, 1824, 44, 334, 645, 44524, 1188, 44524, 619, 802, 81, 716, 334, 645, 22045, 1188, 707, 7345, 619, 22045, 81, 311, 7345, 334, 645, 1984, 2208 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 4, 3, 4, 4, 4, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 1, 1, 3, 5, 5, 5, 4, 5, 3, 3, 5, 2, 2, 3, 5, 5, 5, 4, 5, 3, 3, 5, 5, 5, 5, 1, 2, 2, 2, 2, 2, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 5, 5, 5, 3, 4, 3, 2, 2, 3, 1, 1, 1, 3, 3, 3, 4, 4, 5, 5, 2, 2, 3, 4, 5, 3, 3, 5, 3, 3, 6, 4, 4, 5, 5, 5, 2, 2, 3, 4, 5, 4, 5, 3, 3, 4, 4, 1, 2, 2, 2, 2, 4, 4, 4, 5, 5, 6, 6, 3, 3, 4, 4, 4, 7, 5, 5, 6, 6, 6, 3, 3, 4, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 1, 2, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 1, 2, 11, 11, 0, 12, 12, 1, 2, 1, 4, 1, 6, 12, 12, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 14, 14, 14, 14, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 14, 3, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 15, 15, 1, 2, 1, 4, 4, 4, 15, 15, 0, 16, 16, 1, 2, 1, 4, 4, 4, 4, 16, 16, 0, 0, 17, 17, 1, 2, 1, 4, 4, 4, 4, 17, 17, 0, 0, 0, 18, 18, 1, 2, 1, 4, 4, 4, 18, 18, 0, 0, 0, 19, 19, 1, 2, 19, 19, 0, 0, 20, 20, 1, 2, 2, 2, 20, 20, 0, 0, 20, 20, 0, 0, 0, 0, 0, 21, 21, 1, 2, 1, 4, 21, 21, 0, 0, 21, 21, 0, 22, 22, 1, 2, 22, 22, 0, 0, 0, 0, 0, 23, 23, 1, 2, 23, 23, 0, 0, 0, 23, 23, 0, 0, 0, 24, 24, 1, 2, 24, 24, 0, 0, 0, 25, 25, 1, 2, 2, 2, 25, 25, 0, 0, 26, 26, 1, 2, 26, 26, 26, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27, 27, 1, 2, 2, 1, 4, 27, 27, 0, 0, 0, 0, 28, 28, 1, 2, 2, 1, 4, 28, 28, 0, 0, 0, 29, 29, 1, 2, 2, 1, 4, 4, 4, 29, 29, 0, 0, 0, 30, 30, 1, 2, 2, 1, 4, 4, 30, 30, 0, 0, 0, 30, 30, 0, 0, 0, 0, 0, 0, 31, 31, 1, 2, 2, 1, 4, 4, 4, 31, 31, 0, 0, 0, 0, 32, 32, 1, 2, 2, 1, 4, 4, 32, 32, 0, 0, 0, 32, 32, 0, 0, 0, 0, 33, 33, 1, 2, 2, 1, 4, 33, 33, 0, 0, 0, 33, 33, 0, 0, 0, 33, 33, 0, 0, 0, 0, 0, 0, 0, 0, 34, 34, 1, 2, 34, 34, 0, 0, 0, 0, 35, 35, 1, 2, 2, 2, 35, 35, 0, 35, 35, 0, 0, 0, 0, 0, 36, 36, 1, 2, 2, 1, 4, 4, 36, 36, 0, 0, 0, 37, 37, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 37, 37, 37, 0, 0, 0, 3, 3, 2, 2, 3, 3, 1, 1, 2, 1, 1, 0, 1, 1, 0, 5, 5, 2, 2, 2, 3, 3, 2, 1, 2, 1, 4, 2, 2, 3, 3, 37, 4, 4, 4, 4, 0, 0, 0, 3, 3, 2, 2, 2, 2, 1, 1, 1, 0, 3, 3, 2, 2, 2, 2, 2, 2, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 14785, 32, 1262, 32, 2846, 1188, 3738, 81, 4365, 36, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1417, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 3498, 81, 1867, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 706, 81, 1867, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1603, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 2677, 81, 3473, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4886, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 5239, 81, 7490, 619, 5741, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 16302, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 5523, 81, 10340, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 3523, 81, 4018, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 3523, 81, 1945, 81, 7133, 203, 823, 14353, 41316, 29248, 26, 16648, 32, 29248, 711, 334, 665, 1156, 1664, 3207, 784, 30, 3083, 2919, 30, 3083, 37385, 81, 452, 81, 20224, 30, 3083, 3380, 81, 1516, 81, 44678, 47, 2521, 30, 3083, 2677, 81, 14298, 101, 47, 2521, 30, 3083, 4886, 81, 452, 81, 14298, 47, 2521, 30, 3083, 793, 81, 809, 299, 47, 2700, 30, 3083, 636, 347, 5207, 81, 44678, 10280, 284, 415, 3380, 81, 1516, 81, 44678, 438, 1665, 44, 397, 3380, 81, 1516, 81, 44678, 280, 37385, 81, 452, 81, 20224, 284, 2599, 26, 4764, 41316, 29248, 30, 630, 14585, 1664, 3207, 539, 81, 809, 299, 30, 636, 27, 284, 5741, 32, 1338, 26, 291, 313, 4764, 41316, 72, 36, 44, 37385, 81, 452, 81, 20224, 6132, 101, 45, 3380, 81, 1516, 81, 44678, 6132, 101, 392, 291, 37385, 81, 452, 81, 20224, 30, 3380, 81, 1516, 81, 44678, 27, 284, 630, 1114, 2215, 280, 2919, 284, 630, 1114, 44678, 81, 452, 81, 20224, 280, 37385, 81, 452, 81, 20224, 284, 630, 1114, 44473, 81, 34645, 280, 3177, 284, 630, 1114, 4502, 81, 14298, 101, 280, 2677, 81, 14298, 101, 284, 630, 1114, 9578, 81, 452, 81, 14298, 280, 4886, 81, 452, 81, 14298, 284, 630, 1114, 2999, 81, 1516, 81, 44678, 280, 3380, 81, 1516, 81, 44678, 284, 630, 1114, 8395, 81, 462, 81, 2997, 280, 1769, 26, 2999, 81, 1516, 81, 44678, 30, 37385, 81, 452, 81, 20224, 27, 284, 630, 1114, 3264, 81, 2997, 280, 1665, 284, 630, 1114, 5207, 81, 1956, 81, 3926, 280, 1665, 284, 630, 1114, 380, 21918, 81, 3926, 81, 10340, 280, 1665, 284, 630, 1114, 22675, 81, 668, 280, 1605, 334, 665, 7596, 81, 44473, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 284, 442, 630, 1114, 2215, 32, 7924, 81, 44473, 2740, 1132, 30, 1115, 5321, 27, 334, 665, 4871, 81, 44473, 26, 784, 30, 8056, 101, 81, 363, 81, 6862, 30, 3649, 81, 2997, 47, 2521, 30, 636, 47, 2521, 711, 284, 415, 646, 8056, 101, 81, 363, 81, 6862, 44, 397 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 5, 6, 4, 4, 4, 5, 7, 7, 7, 7, 3, 3, 5, 7, 7, 7, 7, 6, 6, 5, 5, 5, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 4, 4, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 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, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 8, 9, 7, 8, 8, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 6, 7, 7, 7, 7, 7, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 3, 3, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 0, 0, 14, 14, 1, 2, 1, 4, 14, 14, 0, 0, 0, 15, 15, 1, 2, 1, 4, 15, 15, 0, 0, 0, 0, 0, 16, 16, 1, 1, 2, 0, 1, 2, 2, 16, 16, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 2, 2, 2, 0, 0, 0, 0, 7, 2, 2, 2, 2, 0, 0, 0, 9, 2, 2, 2, 2, 0, 0, 0, 0, 11, 2, 2, 2, 2, 0, 0, 0, 13, 2, 2, 2, 2, 15, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 5, 5, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 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, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 0, 0, 5, 2, 2, 2, 7, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ 465, 11685, 203, 1270, 44, 284, 645, 14208, 38, 32, 4164, 1188, 5780, 39, 3350, 1796, 284, 5780, 39, 7655, 81, 33754, 280, 2933, 203, 7343, 29986, 30, 484, 44, 284, 5780, 39, 7655, 81, 33754, 280, 3177, 203, 1070, 14208, 38, 32, 2543, 1188, 2770, 417, 2007, 1352, 203, 1070, 14208, 38, 32, 4266, 1188, 308, 284, 5780, 39, 3350, 1796, 69, 20445, 1006, 30, 284, 2770, 417, 1006, 30, 284, 7116, 2797, 30, 203, 27, 203, 50, 5961, 2797, 26, 284, 646, 5780, 39, 7655, 81, 33754, 30, 284, 313, 916, 39, 1356, 6236, 646, 372, 526, 5024, 30, 646, 6325, 2819, 4345, 4906, 7144, 203, 823, 5780, 39, 6508, 1796, 69, 20445, 1006, 26, 32101, 1006, 30, 5780, 39, 3350, 1796, 69, 20445, 1006, 711, 284, 477, 2433, 284, 665, 1244, 81, 4164, 26, 784, 711, 291, 442, 5780, 39, 3350, 1796, 346, 284, 665, 894, 81, 30122, 466, 1352, 26, 784, 711, 291, 596, 1352, 280, 2770, 417, 2007, 1352, 440, 84, 657, 291, 21873, 280, 3778, 98, 48, 51, 333, 84, 48, 8570, 377, 84, 48, 7603, 1730, 98, 5844, 291, 623, 11685, 32, 5628, 81, 19991, 26, 4133, 47, 1815, 27, 619, 341, 44, 324, 31628, 280, 630, 32, 30122, 26, 19213, 30, 3185, 81, 2585, 47, 466, 1352, 27, 291, 630, 32, 5299, 26, 324, 31628, 32, 5460, 1026, 630, 32, 2812, 81, 979, 26, 19213, 490, 291, 630, 32, 6549, 26, 324, 313, 1382, 4159, 39, 1356, 4345, 4906, 4163, 1330, 2193, 3185, 81, 2585, 20, 328, 324, 596, 26, 105, 77, 34, 997, 1436, 490, 284, 665, 894, 81, 11015, 631, 81, 15377, 81, 11278, 26, 784, 711, 291, 21873, 280, 2726, 46, 1274, 804, 347, 35, 13469, 1750, 4145, 359, 6457, 1750, 3778, 671, 48, 10921, 1182, 4674, 1858, 1924, 1750, 4145, 1274, 804, 347, 36, 13469, 1750, 4145, 359, 772, 671, 48, 3986, 377, 671, 855, 359, 6457, 1750, 9398, 1274, 855, 671, 22639, 291, 630, 32, 862, 32101, 2259, 26, 324, 21873, 30, 324, 4145, 1274, 804, 347, 35, 1342, 6111, 772, 359, 772, 671, 48, 10921, 6945, 101, 4674, 1858, 6078, 324, 4145, 1274, 804, 347, 36, 1342, 6111, 772, 359, 772, 671, 48, 3986, 377, 671, 855, 359, 855, 6111, 855, 1274, 6457, 324, 9398, 671, 855, 359, 855, 6111, 855, 1274, 22639, 291, 630, 32, 862, 32101, 2259, 26, 324, 3778, 1274, 772, 7691, 772, 359, 772, 671, 48, 13611, 377, 671, 855, 359, 855, 7691, 5844, 324, 3778, 6111, 772, 359, 772, 671, 48, 2900, 377, 671, 855, 359, 855, 6111, 5844, 324, 3778, 43258, 772, 359, 772, 671, 48, 52, 1373, 377, 671, 855, 359, 855, 43258, 855, 1274, 19830, 284, 665, 894, 81, 2593, 81, 24050, 81, 10756, 318, 81, 1170, 81, 27357, 26, 784, 711, 291, 21873, 280, 5881, 1888, 2593, 1503, 347, 35, 32, 34, 20, 7328, 347, 3310, 31, 42, 35254, 203, 7838, 10499, 4159, 48, 203, 46, 916, 48, 334, 333, 1816, 48, 334, 576, 1816, 48, 334, 333, 1548, 48, 664, 333, 98, 48, 3986, 377, 98, 48, 334 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 4, 5, 3, 3, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 5, 5, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 0, 2, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 2, 2, 6, 4, 4, 5, 6, 6, 6, 7, 6, 5, 5, 7, 9, 9, 9, 9, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 7, 7, 9, 9, 9, 9, 11, 11, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 6, 11, 12, 12, 12, 11, 13, 12, 13, 11, 9, 9, 6, 6, 6, 9, 9, 11, 12, 11, 12, 11, 11, 13, 13, 12, 13, 13, 11, 5, 5, 8, 9, 8, 8, 8, 10, 11, 10, 8, 10, 11, 11, 11, 10, 11, 10, 5, 5, 8, 9, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 11, 14, 13, 14, 13, 13, 11, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 5, 5, 8, 9, 9, 9, 8, 8, 8, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 11, 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, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 9, 9, 9, 8, 8, 8, 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, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 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, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 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, 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, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 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 ]
[ 465, 2322, 203, 465, 5237, 203, 465, 298, 618, 203, 465, 1133, 203, 465, 1933, 203, 465, 296, 7858, 94, 203, 465, 19493, 203, 465, 2192, 203, 465, 1671, 203, 465, 7060, 203, 465, 821, 4775, 203, 465, 5615, 3945, 203, 465, 27374, 203, 1070, 13380, 34224, 1188, 4527, 203, 1070, 13380, 34224, 32, 11731, 1188, 24308, 81, 33591, 81, 45852, 30, 21155, 81, 14221, 81, 33591, 81, 45852, 203, 1070, 13380, 34224, 32, 8031, 1188, 21450, 203, 1070, 13380, 34224, 32, 3854, 1188, 11855, 30, 9753, 74, 203, 1070, 13380, 34224, 32, 2751, 81, 2282, 1188, 29489, 2710, 30, 11443, 14537, 30, 617, 30160, 81, 45194, 203, 1070, 13380, 34224, 32, 8524, 1188, 16167, 36, 30, 21749, 36, 30, 551, 30, 3519, 30, 32061, 37, 203, 37397, 280, 21749, 26, 36, 41, 27, 203, 3307, 81, 41770, 19419, 280, 301, 284, 330, 1403, 950, 262, 21749, 26, 35, 37, 471, 284, 330, 975, 1166, 950, 21749, 26, 35, 36, 41, 471, 284, 330, 3007, 950, 958, 21749, 26, 43, 471, 284, 330, 19207, 950, 958, 44869, 30, 284, 330, 417, 950, 351, 44869, 474, 13198, 51, 370, 284, 330, 1746, 950, 647, 44869, 474, 13198, 52, 370, 284, 330, 990, 950, 262, 44869, 474, 13198, 53, 370, 284, 330, 1873, 950, 647, 44869, 474, 13198, 54, 370, 284, 330, 2833, 950, 647, 44869, 474, 13198, 35, 112, 370, 284, 330, 3215, 950, 264, 44869, 474, 13198, 36, 112, 370, 284, 330, 2560, 950, 264, 44869, 474, 13198, 37, 112, 370, 284, 330, 416, 950, 958, 44869, 474, 13198, 38, 112, 370, 284, 330, 1637, 973, 950, 261, 44869, 474, 13198, 39, 112, 370, 284, 330, 1637, 2835, 950, 44869, 474, 13198, 40, 112, 370, 284, 330, 88, 35, 950, 351, 44869, 474, 330, 9532, 51, 370, 284, 330, 88, 36, 950, 351, 44869, 474, 330, 9532, 52, 370, 284, 330, 88, 37, 950, 351, 44869, 474, 330, 9532, 53, 370, 284, 330, 88, 38, 950, 351, 44869, 474, 330, 9532, 54, 370, 284, 330, 88, 39, 950, 351, 44869, 474, 330, 9532, 55, 370, 284, 330, 88, 40, 950, 351, 44869, 474, 13198, 35, 41, 112, 370, 284, 330, 88, 41, 950, 351, 44869, 474, 13198, 35, 42, 112, 370, 284, 330, 88, 42, 950, 351, 44869, 474, 13198, 35, 43, 112, 370, 284, 330, 88, 43, 950, 351, 44869, 474, 13198, 36, 34, 112, 370, 284, 330, 88, 35, 34, 950, 958, 44869, 474, 13198, 36, 35, 112, 370, 284, 330, 88, 35, 35, 950, 958, 44869, 474, 13198, 36, 37, 112, 370, 284, 330, 88, 35, 36, 950, 958, 44869, 474, 13198, 36, 38, 112, 370, 203, 111, 203, 3307, 81, 41770, 19419, 81, 14221, 2183, 63, 280, 301, 284, 330, 417, 950, 351, 44869, 474, 330, 21520, 370, 284, 330, 1746, 950, 647, 44869, 474, 330, 4384, 370, 284, 330, 990, 950, 262, 44869, 474, 330, 9274, 370, 284, 330, 1873, 950, 647, 44869, 474, 330, 5455, 370, 284, 330, 88, 35, 950, 351, 44869, 474, 330, 1952, 370, 284, 330, 88, 36, 950, 351, 44869, 474, 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, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 0, 3, 2, 2, 4, 5, 5, 4, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 4, 6, 7, 7, 6, 3, 3, 6, 6, 6, 4, 6, 7, 7, 7, 6, 3, 3, 6, 6, 4, 4, 6, 7, 6, 3, 3, 6, 6, 4, 4, 3, 3, 3, 6, 6, 4, 4, 5, 5, 7, 7, 3, 3, 6, 6, 4, 4, 5, 5, 7, 7, 3, 3, 6, 6, 4, 4, 5, 5, 7, 7, 3, 3, 6, 6, 4, 4, 5, 5, 7, 7, 3, 3, 6, 6, 4, 4, 5, 5, 7, 7, 7, 3, 3, 6, 6, 4, 4, 5, 5, 7, 7, 7, 3, 3, 6, 6, 4, 4, 5, 5, 7, 7, 7, 3, 3, 6, 6, 4, 4, 5, 5, 7, 7, 7, 3, 3, 6, 6, 6, 4, 4, 5, 5, 7, 7, 7, 3, 3, 6, 6, 6, 4, 5, 5, 7, 7, 7, 3, 3, 6, 6, 6, 4, 4, 5, 5, 7, 7, 7, 3, 3, 6, 6, 6, 4, 4, 5, 5, 7, 7, 7, 3, 3, 6, 6, 6, 4, 4, 5, 5, 7, 7, 7, 3, 3, 6, 6, 6, 4, 4, 5, 5, 7, 7, 7, 3, 3, 6, 6, 6, 4, 4, 5, 5, 7, 7, 7, 3, 3, 6, 6, 6, 4, 4, 5, 5, 7, 7, 7, 7, 3, 3, 6, 6, 6, 4, 4, 5, 5, 7, 7, 7, 7, 3, 3, 6, 6, 6, 4, 4, 5, 5, 7, 7, 7, 7, 3, 3, 6, 6, 6, 4, 4, 5, 5, 7, 7, 7, 7, 3, 3, 6, 6, 6, 6, 4, 4, 5, 5, 7, 7, 7, 7, 3, 3, 6, 6, 6, 6, 4, 4, 5, 5, 7, 7, 7, 7, 3, 3, 6, 6, 6, 6, 4, 4, 5, 5, 7, 7, 7, 7, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 4, 5, 5, 7, 7, 3, 3, 6, 6, 4, 4, 5, 5, 7, 7, 3, 3, 6, 6, 4, 4, 5, 5, 7, 7, 3, 3, 6, 6, 4, 4, 5, 5, 7, 7, 3, 3, 6, 6, 6, 4, 4, 5, 5, 7, 7, 3, 3, 6, 6, 6, 4, 4, 5, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 0, 11, 11, 0, 0, 12, 12, 0, 13, 13, 0, 13, 13, 0, 14, 14, 0, 1, 2, 14, 14, 0, 0, 0, 0, 14, 14, 0, 0, 0, 0, 0, 0, 0, 15, 15, 0, 1, 2, 15, 15, 0, 16, 16, 0, 1, 2, 16, 16, 16, 16, 0, 0, 17, 17, 0, 1, 2, 2, 2, 17, 17, 0, 17, 17, 0, 17, 17, 0, 0, 0, 0, 18, 18, 0, 1, 2, 18, 18, 0, 18, 18, 0, 18, 18, 18, 18, 18, 18, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 2, 1, 2, 5, 5, 1, 1, 1, 2, 2, 1, 2, 7, 7, 2, 2, 2, 1, 2, 9, 9, 2, 2, 1, 2, 2, 2, 1, 2, 11, 11, 2, 2, 1, 2, 2, 2, 1, 2, 13, 13, 2, 2, 1, 2, 2, 2, 1, 2, 15, 15, 2, 2, 1, 2, 2, 2, 1, 2, 17, 17, 2, 2, 1, 1, 2, 2, 2, 1, 2, 19, 19, 2, 2, 1, 1, 2, 2, 2, 1, 2, 21, 21, 2, 2, 1, 1, 2, 2, 2, 1, 2, 23, 23, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 25, 25, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 27, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 29, 29, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 31, 31, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 33, 33, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 35, 35, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 37, 37, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 39, 39, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 41, 41, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 43, 43, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 45, 45, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 47, 47, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 49, 49, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 51, 51, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 3, 3, 2, 2, 1, 2, 2, 2, 1, 2, 5, 5, 2, 2, 1, 2, 2, 2, 1, 2, 7, 7, 2, 2, 1, 2, 2, 2, 1, 1, 2, 9, 9, 2, 2, 1, 2, 2, 2, 1, 1, 2, 11, 11, 2, 2 ]
[ 505, 1427, 1643, 505, 280, 313, 268, 25120, 878, 931, 20, 203, 465, 5237, 203, 1070, 1245, 335, 360, 32, 2282, 32, 8524, 1188, 44524, 203, 1070, 1245, 335, 360, 32, 2282, 32, 878, 2304, 1188, 1628, 12595, 203, 589, 622, 81, 5459, 26, 1251, 30, 11595, 711, 284, 436, 2838, 328, 1541, 32, 4915, 44, 291, 415, 6937, 26, 2661, 30, 11595, 711, 324, 6761, 2838, 291, 436, 33162, 2661, 328, 622, 81, 5459, 26, 2661, 30, 11595, 711, 324, 6761, 33162, 2661, 203, 589, 6371, 81, 1311, 26, 3086, 711, 284, 436, 2838, 328, 6371, 32, 4915, 44, 291, 415, 6937, 26, 2661, 30, 1979, 711, 324, 442, 1044, 25, 5608, 2524, 2009, 1251, 32, 605, 436, 1541, 328, 622, 81, 5459, 26, 2661, 30, 3319, 14829, 203, 589, 1968, 81, 1367, 26, 3086, 30, 3193, 47, 35, 711, 284, 1201, 3193, 848, 225, 34, 284, 3193, 5912, 225, 35, 284, 8822, 280, 1682, 26, 23321, 47, 103, 1182, 378, 1059, 683, 284, 436, 2838, 328, 6371, 32, 4915, 44, 291, 415, 646, 6937, 26, 2661, 30, 13630, 711, 324, 4036, 291, 2266, 280, 6371, 81, 1311, 26, 2661, 27, 291, 415, 646, 2266, 461, 646, 2838, 32, 314, 44, 324, 4036, 291, 415, 646, 2838, 32, 314, 44, 324, 2838, 32, 314, 280, 2266, 32, 3227, 463, 5769, 40317, 291, 1541, 280, 6116, 26, 103, 44916, 9118, 2661, 32, 314, 30, 2266, 47, 1172, 556, 2838, 32, 314, 27, 291, 415, 3193, 461, 428, 96, 436, 310, 328, 2838, 32, 4915, 415, 6937, 26, 96, 30, 13630, 2177, 44, 324, 1541, 280, 45187, 2009, 1251, 30, 1968, 81, 1367, 26, 2661, 30, 3193, 14829, 291, 8822, 32, 1689, 26, 1251, 27, 284, 442, 8822, 203, 823, 3772, 3976, 26, 1473, 711, 284, 665, 2179, 26, 784, 30, 6371, 30, 3443, 47, 2521, 30, 7328, 47, 2521, 711, 291, 415, 3443, 438, 1665, 44, 324, 3443, 280, 5237, 32, 9362, 291, 415, 646, 7328, 44, 324, 7328, 280, 18623, 26, 2238, 30, 330, 8644, 370, 330, 6261, 31, 42, 683, 291, 630, 32, 8644, 280, 7328, 556, 330, 6261, 31, 42, 25, 291, 630, 3667, 7924, 81, 22495, 280, 1605, 291, 630, 32, 541, 280, 3443, 291, 630, 32, 2409, 81, 1643, 26, 3086, 27, 291, 6371, 32, 7494, 26, 784, 27, 291, 630, 32, 416, 81, 1643, 26, 3086, 27, 284, 665, 2179, 81, 4915, 26, 784, 30, 6371, 711, 291, 436, 2838, 328, 18623, 26, 3086, 30, 330, 4915, 370, 308, 8531, 324, 2838, 32, 7494, 26, 784, 27, 284, 665, 2870, 43166, 26, 784, 30, 802, 47, 103, 25, 7831, 291, 630, 32, 1821, 26, 800, 474, 1628, 12595, 27, 284, 665, 2866, 26, 784, 30, 802, 711, 291, 1596, 44, 324, 630, 32, 541, 32, 1821, 26, 800, 27, 291, 2940, 23174, 10807, 924, 44, 324, 630, 32, 541, 32, 1821, 26, 800, 32, 4434, 26, 784, 32, 8644, 490, 284, 665, 4240, 81, 1643, 26, 784, 30, 6371, 711, 291, 630, 32, 1906, 280, 225, 34, 284, 665, 943, 81, 1643, 26, 784, 30, 6371 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 3, 3, 4, 5, 3, 3, 3, 5, 7, 8, 7, 7, 7, 5, 5, 8, 4, 4, 5, 6, 5, 5, 7, 7, 7, 8, 7, 7, 7, 5, 5, 8, 9, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 4, 5, 3, 3, 3, 5, 7, 8, 7, 7, 7, 5, 5, 7, 11, 11, 10, 9, 12, 11, 12, 10, 11, 11, 11, 13, 13, 13, 14, 13, 13, 13, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 5, 2, 2, 4, 4, 5, 2, 2, 4, 4, 6, 8, 7, 9, 9, 9, 9, 9, 2, 2, 3, 3, 3, 4, 5, 3, 3, 3, 5, 6, 8, 9, 8, 8, 8, 5, 5, 4, 4, 6, 6, 8, 8, 8, 9, 8, 4, 4, 5, 7, 6, 6, 7, 8, 9, 5, 5, 5, 4, 4, 5, 6, 7, 8, 5, 5, 5, 9, 10, 8, 8, 10, 11, 10, 12, 10, 4, 4, 6, 6, 8, 11, 11, 11, 11, 10, 11, 8, 8, 9, 11, 10, 10, 11, 12, 8, 4, 4, 5, 6, 6, 8, 7, 8, 8, 8, 9, 10, 7, 8, 10, 11, 10, 10, 10, 5, 5, 5, 8, 8, 10, 12, 11, 11, 13, 13, 13, 14, 13, 13, 13, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 9, 10, 4, 4, 5, 6, 5, 5, 5, 8, 8, 10, 11, 10, 10, 12, 12, 10, 12, 12, 12, 12, 4, 4, 7, 8, 6, 6, 7, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 7, 8, 7, 7, 9, 9, 7, 8, 5, 5, 9, 10, 9, 10, 9, 2, 2, 3, 4, 4, 5, 4, 4, 5, 7, 7, 7, 3, 3, 7, 8, 7, 9, 8, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 10, 11, 9, 10, 9, 10, 9, 5, 5, 6, 7, 7, 6, 6, 6, 11, 12, 10, 11, 10, 13, 12, 13, 12, 14, 13, 14, 12, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 0, 1, 2, 1, 4, 4, 3, 3, 0, 0, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 3, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 5, 5, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 3, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 6, 6, 1, 1, 2, 1, 2, 2, 3, 2, 2, 6, 6, 0, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 0, 5, 5, 0, 0, 0, 0, 1, 1, 1, 5, 5, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 3, 1, 1, 2, 3, 3, 3, 0, 2, 0, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 3, 0, 2, 2, 2, 2, 1, 5, 5, 5, 1, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 1, 1, 1, 1, 1, 5, 5, 5, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 4, 4, 4, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 5, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 3, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 4, 4, 3, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 5, 1, 1, 2, 1, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 2322, 203, 1070, 14785, 32, 1262, 32, 2846, 1188, 3738, 81, 4365, 36, 203, 1070, 14785, 32, 1262, 32, 3938, 1188, 1359, 81, 4365, 36, 203, 1070, 14785, 32, 1262, 32, 3938, 1188, 6089, 81, 2255, 81, 4365, 36, 203, 1070, 14785, 32, 2958, 32, 1580, 1188, 3523, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8082, 81, 520, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 3878, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 894, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 894, 81, 1040, 203, 1070, 14785, 32, 2958, 32, 1356, 32, 716, 1188, 803, 81, 716, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 3498, 81, 1867, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 7744, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1603, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4886, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 1070, 14785, 32, 2958, 32, 9031, 81, 1160, 1188, 4906, 619, 7511, 81, 1160, 81, 4164, 203, 1070, 14785, 32, 2958, 32, 9031, 81, 1160, 1188, 12388, 203, 1070, 14785, 32, 2958, 32, 9031, 81, 1160, 1188, 11522, 203, 1070, 14785, 32, 2958, 32, 9031, 81, 1160, 1188, 11522, 81, 3106, 203, 1070, 14785, 32, 2958, 32, 9031, 81, 1160, 1188, 2575, 81, 520, 203, 1070, 14785, 32, 2958, 32, 9031, 81, 1160, 1188, 8191, 81, 589, 81, 2304, 203, 1070, 14785, 32, 2958, 32, 9031, 81, 1160, 1188, 2604, 81, 9777, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 4257, 424, 81, 858, 81, 2304, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 7682, 203, 1070, 14785, 32, 2958, 32, 1040, 1188, 8248, 203, 3551, 16769, 81, 14483, 81, 4065, 280, 2884, 1152, 33, 9031, 81, 1160, 33, 33003, 33, 10894, 81, 5431, 81, 8268, 33, 34, 34, 34, 34, 34, 35, 36, 37, 657, 203, 589, 28921, 2459, 2262, 334, 803, 81, 716, 32, 2560, 81, 268, 33053, 26, 858, 32, 371, 81, 1433, 81, 1515, 1157, 203, 823, 35653, 1243, 35506, 26, 858, 32, 7233, 711, 334, 665, 617, 371, 81, 1358, 81, 1515, 26, 784, 30, 2266, 711, 284, 442, 2322, 32, 983, 32, 2524, 26, 858, 32, 371, 81, 1433, 81, 1515, 1026, 2266, 27, 334, 665, 617, 1664, 81, 363, 81, 4635, 81, 4502, 26, 784, 30, 13597, 30, 2677, 81, 426, 30, 2677, 81, 853, 711, 284, 354, 280, 4886, 32, 3818, 72, 35, 26, 4502, 81, 853, 30, 636, 47, 4502, 81, 426, 27, 284, 630, 32, 13697, 26, 9578, 32, 3264, 81, 9578, 81, 19321, 1157, 284, 630, 32, 5299, 26, 4502, 81, 853, 30, 630, 32, 13697, 26, 104, 490, 334, 665, 617, 1832, 81, 5474, 81, 4170, 26, 784, 30, 7057, 81, 761, 81, 426, 30, 7057, 81, 761 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 1, 1, 6, 6, 5, 6, 6, 6, 6, 5, 8, 7, 8, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 9, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 0, 0, 14, 14, 1, 2, 1, 4, 1, 6, 14, 14, 0, 0, 0, 15, 15, 1, 2, 1, 4, 15, 15, 0, 0, 0, 0, 0, 16, 16, 1, 2, 1, 4, 16, 16, 0, 0, 0, 17, 17, 1, 2, 1, 4, 17, 17, 0, 0, 0, 18, 18, 1, 2, 1, 4, 18, 18, 0, 19, 19, 1, 2, 1, 4, 19, 19, 0, 20, 20, 1, 2, 1, 4, 4, 4, 20, 20, 3, 3, 2, 2, 2, 2, 0, 21, 21, 1, 2, 1, 4, 4, 4, 21, 21, 0, 22, 22, 1, 2, 1, 4, 4, 4, 22, 22, 0, 23, 23, 1, 2, 1, 4, 4, 4, 23, 23, 0, 0, 0, 24, 24, 1, 2, 1, 4, 4, 4, 24, 24, 0, 0, 0, 25, 25, 1, 2, 1, 4, 4, 4, 25, 25, 0, 0, 0, 0, 0, 26, 26, 1, 2, 1, 4, 4, 4, 26, 26, 0, 0, 0, 27, 27, 1, 2, 1, 4, 27, 27, 0, 0, 0, 0, 0, 0, 28, 28, 1, 2, 1, 4, 28, 28, 0, 29, 29, 1, 2, 1, 4, 29, 29, 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, 2, 0, 31, 31, 1, 2, 31, 31, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 32, 32, 1, 1, 2, 0, 1, 2, 2, 32, 32, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5 ]
[ 1070, 45778, 1188, 45778, 203, 465, 19493, 203, 465, 2322, 203, 465, 6314, 203, 465, 5237, 203, 465, 26313, 203, 465, 821, 4775, 203, 465, 29590, 203, 465, 22977, 203, 1270, 44, 284, 645, 281, 14686, 274, 1188, 20748, 284, 645, 281, 14686, 274, 1188, 10128, 101, 203, 7343, 29986, 44, 284, 645, 19571, 1188, 20748, 284, 645, 19571, 1188, 10128, 101, 284, 1188, 1933, 1582, 203, 1070, 19571, 1188, 24650, 1180, 203, 1070, 19571, 1188, 677, 1434, 1675, 635, 81, 20474, 203, 1070, 3363, 1188, 18394, 2338, 203, 1070, 31863, 6844, 9452, 81, 8774, 1188, 7680, 30, 1201, 81, 419, 812, 1223, 203, 1070, 43008, 32, 5178, 1188, 23133, 203, 1270, 44, 284, 1188, 6436, 619, 2065, 284, 645, 6436, 32, 1356, 32, 13176, 81, 359, 6758, 1188, 619, 81, 2758, 981, 203, 7343, 29986, 44, 284, 2065, 280, 1665, 203, 1070, 638, 10337, 81, 24088, 1188, 2454, 203, 1070, 638, 10337, 81, 24088, 1188, 10128, 203, 1070, 638, 2888, 299, 1188, 3677, 203, 12882, 81, 24463, 81, 8333, 81, 6883, 280, 3056, 1902, 33, 24355, 25, 203, 19856, 81, 28727, 69, 280, 6314, 32, 69, 81, 3900, 37399, 523, 6314, 32, 69, 81, 27313, 37399, 523, 6314, 32, 69, 81, 6578, 37399, 203, 3539, 81, 28727, 69, 280, 6314, 32, 69, 81, 3900, 37399, 523, 6314, 32, 69, 81, 27313, 37399, 203, 589, 617, 371, 81, 975, 299, 81, 1835, 1110, 26, 83, 711, 284, 323, 280, 18623, 26, 83, 30, 330, 1439, 370, 1665, 27, 284, 415, 323, 438, 1665, 44, 291, 442, 1665, 284, 4348, 6937, 26, 84, 30, 45778, 711, 291, 442, 312, 284, 813, 44, 291, 442, 617, 371, 81, 975, 299, 81, 1835, 1110, 26, 84, 27, 203, 589, 1401, 81, 6074, 444, 81, 5566, 26, 83, 711, 284, 442, 617, 371, 81, 975, 299, 81, 1835, 1110, 26, 83, 27, 438, 646, 1665, 203, 589, 617, 2758, 981, 81, 1070, 81, 1835, 1110, 26, 3607, 30, 9710, 30, 2926, 30, 3401, 30, 2532, 30, 6024, 30, 32694, 30, 656, 3380, 81, 2668, 81, 1657, 711, 284, 415, 2926, 610, 330, 105, 29, 950, 291, 2926, 280, 330, 100, 6897, 284, 415, 32694, 438, 1665, 44, 291, 442, 2065, 32, 1835, 1110, 26, 3607, 30, 9710, 47, 12010, 30, 6024, 47, 3229, 30, 2926, 47, 2816, 30, 656, 3401, 47, 2881, 30, 2532, 47, 1174, 27, 284, 813, 44, 291, 1695, 280, 2065, 32, 1835, 1110, 26, 3607, 30, 9710, 47, 12010, 30, 6024, 47, 2999, 81, 2668, 81, 1657, 30, 656, 2926, 47, 2816, 30, 3401, 47, 2881, 30, 2532, 47, 1174, 27, 291, 442, 619, 81, 2758, 981, 26, 1439, 30, 6024, 47, 3229, 30, 32694, 47, 42383, 27, 203, 589, 617, 8920, 81, 1835, 1110, 81, 975, 318, 26, 83, 30, 345, 711, 284, 312, 81, 1366, 30, 312, 81, 416, 280, 2065, 32, 2263, 81, 11206, 26, 83, 27, 284, 345, 81, 1366, 280, 2065, 32, 2263, 81, 11206, 26, 95, 5594, 34, 79, 284, 3401, 280, 312, 81, 1366, 429, 345, 81, 1366, 284, 3401, 1454, 345, 32, 2881, 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, 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, 1, 1, 3, 5, 5, 3, 3, 2, 2, 3, 5, 5, 3, 3, 5, 1, 2, 2, 2, 2, 2, 4, 4, 4, 3, 3, 4, 4, 4, 6, 3, 3, 4, 6, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 4, 4, 4, 4, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 3, 4, 4, 2, 2, 3, 4, 5, 4, 5, 5, 5, 5, 3, 3, 5, 5, 5, 1, 2, 2, 2, 2, 2, 5, 5, 0, 1, 1, 4, 4, 4, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 0, 1, 1, 4, 4, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 5, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 6, 3, 3, 4, 5, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 6, 8, 8, 6, 6, 2, 2, 3, 4, 4, 3, 3, 3, 5, 3, 3, 4, 6, 7, 6, 6, 6, 4, 4, 6, 3, 3, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 6, 6, 6, 3, 3, 6, 6, 8, 8, 2, 2, 3, 4, 4, 3, 3, 3, 5, 7, 8, 8, 7, 8, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 8, 9, 7, 3, 3, 4, 4, 4, 7, 7, 9, 10, 10, 9, 10, 9, 9, 10, 11, 9, 9, 10, 11, 11, 11, 11, 11, 9, 9, 9, 10, 11, 9, 9, 10, 11, 9, 9, 10, 11, 9, 5, 5, 6, 8, 8, 8, 8, 9, 8, 8, 9, 10, 8, 8, 9, 10, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 6, 6, 5, 5, 6, 6, 4, 4, 6, 7, 7, 7, 6, 7, 6, 2, 2, 5, 5, 4, 4, 7, 8, 8, 8, 7, 8, 7, 6, 5, 2, 2, 4, 4, 6, 6, 5, 5, 6, 6, 2, 2, 4, 4, 5, 6, 2 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 7, 7, 0, 8, 8, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 9, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 1, 1, 1, 0, 3, 3, 2, 0, 0, 10, 10, 10, 10, 0, 0, 11, 11, 11, 11, 0, 0, 0, 0, 0, 0, 12, 12, 12, 12, 0, 0, 13, 13, 0, 0, 0, 0, 13, 13, 13, 13, 0, 0, 0, 0, 0, 14, 14, 1, 2, 14, 14, 0, 15, 15, 15, 15, 0, 1, 1, 2, 2, 1, 1, 2, 1, 4, 4, 4, 4, 1, 1, 0, 0, 0, 15, 3, 3, 3, 3, 3, 0, 0, 0, 16, 16, 0, 0, 0, 16, 16, 0, 17, 17, 0, 0, 0, 17, 17, 0, 18, 18, 0, 0, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 22, 22, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 22, 22, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 23, 23, 1, 1, 1, 1, 1, 2, 1, 2, 23, 23, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 24, 24, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 15, 15, 15, 15, 2, 24, 24, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 1, 9, 2, 1, 1, 11, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 1, 9, 2, 1, 1, 11, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 0, 25, 25, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 25, 25, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 4 ]
[ 1070, 13625, 1188, 31466, 203, 465, 31074, 203, 1070, 4134, 1188, 1623, 18241, 203, 465, 804, 94, 81, 17146, 203, 1070, 804, 94, 81, 17146, 1188, 439, 3657, 3774, 203, 465, 804, 94, 81, 2516, 203, 1070, 804, 94, 81, 2516, 1188, 439, 3657, 620, 30, 47570, 81, 3337, 203, 465, 354, 42, 81, 5843, 203, 1070, 354, 42, 81, 19981, 1188, 8600, 203, 465, 354, 42, 81, 9147, 203, 465, 354, 42, 81, 2516, 203, 1070, 354, 42, 81, 2516, 1188, 23332, 81, 2387, 81, 681, 203, 465, 354, 42, 81, 16064, 203, 1070, 354, 42, 81, 16064, 1188, 308, 34399, 30, 23332, 81, 426, 30, 3775, 1401, 81, 17042, 81, 4890, 81, 853, 30, 3775, 13969, 81, 4890, 81, 853, 81, 302, 81, 668, 27, 203, 11695, 81, 58, 81, 46955, 280, 20073, 470, 2009, 284, 330, 5134, 33, 14344, 33, 3297, 32, 90, 370, 203, 1130, 203, 11695, 81, 10509, 81, 46955, 280, 20073, 470, 2009, 284, 330, 14265, 33, 3483, 33, 15910, 33, 3893, 81, 1293, 32, 90, 370, 284, 330, 1262, 33, 4722, 33, 3092, 32, 90, 370, 284, 330, 1439, 33, 5707, 81, 1567, 33, 5707, 81, 1567, 32, 90, 370, 284, 330, 105, 4213, 33, 936, 2651, 32, 90, 370, 284, 330, 105, 4213, 33, 2084, 2651, 32, 90, 370, 203, 1130, 203, 589, 2568, 81, 1819, 26, 3337, 711, 284, 8600, 32, 3815, 346, 284, 8600, 32, 1877, 26, 11695, 81, 10509, 81, 46955, 27, 284, 3338, 81, 6411, 280, 739, 26, 11695, 81, 58, 81, 46955, 27, 284, 2935, 81, 3337, 280, 2568, 32, 2544, 284, 415, 2935, 81, 3337, 44, 291, 3338, 81, 6411, 32, 1877, 26, 104, 42, 81, 2516, 32, 6411, 81, 979, 81, 3337, 26, 2544, 81, 3337, 490, 284, 13969, 81, 5843, 280, 2568, 32, 17042, 81, 5843, 284, 438, 81, 9680, 81, 30179, 280, 330, 28519, 26859, 25, 328, 13969, 81, 5843, 284, 10032, 81, 1959, 280, 1665, 284, 415, 330, 17325, 25, 328, 13969, 81, 5843, 44, 291, 10032, 81, 7428, 280, 439, 3657, 3774, 26, 3337, 32, 17255, 81, 426, 27, 291, 10032, 81, 7428, 32, 426, 280, 330, 5162, 25, 291, 10032, 81, 7428, 32, 17255, 81, 681, 280, 439, 3657, 620, 463, 5731, 683, 291, 10032, 81, 7428, 32, 17042, 81, 5843, 710, 22101, 984, 785, 280, 1665, 291, 10032, 81, 7428, 32, 17042, 81, 5843, 710, 1853, 1554, 785, 280, 330, 3206, 1078, 25, 291, 10032, 81, 1959, 280, 354, 42, 81, 9147, 32, 1959, 81, 1819, 26, 3337, 30, 5593, 10032, 81, 7428, 27, 284, 45804, 81, 1251, 81, 1126, 280, 13969, 81, 5843, 32, 371, 463, 885, 4672, 3564, 1792, 683, 284, 415, 45804, 81, 1251, 81, 1126, 44, 291, 8600, 32, 1877, 4901, 1262, 33, 4722, 33, 1308, 32, 90, 3490, 284, 739, 81, 5098, 81, 3576, 81, 452, 81, 668, 280, 7316, 291, 330, 426, 950, 2793, 32, 426, 30, 291, 330, 3766, 81, 681, 950, 2793, 32, 17255, 81, 681, 32, 17788, 81, 302, 474, 33155, 291, 330, 17255, 81, 681, 950, 2793, 32, 17255, 81, 681 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 6, 6, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 5, 6, 2, 2, 3, 4, 4, 3, 3, 3, 8, 8, 7, 8, 7, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 2, 2, 5, 5, 4, 4, 5, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 7, 5, 5, 6, 6, 2, 2, 5, 5, 4, 4, 2, 2, 3, 6, 6, 4, 4, 5, 5, 3, 3, 3, 7, 7, 6, 6, 8, 8, 8, 10, 9, 10, 10, 10, 8, 4, 4, 8, 8, 7, 8, 6, 6, 8, 8, 4, 4, 8, 8, 7, 8, 8, 8, 6, 6, 8, 8, 8, 10, 10, 4, 4, 9, 9, 8, 9, 9, 9, 7, 9, 9, 9, 6, 6, 4, 4, 9, 9, 8, 9, 9, 9, 7, 9, 9, 9, 6, 6, 8, 8, 8, 4, 4, 7, 7, 6, 6, 9, 9, 9, 8, 9, 9, 9, 8, 9, 8, 8, 8, 9, 9, 8, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 3, 3, 3, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 9, 9, 7, 8, 9, 6, 6, 6, 9, 9, 9, 9, 7, 10, 11, 11, 11, 9, 10, 10, 10, 8, 8, 6, 6, 9, 9, 9, 9, 7, 8, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 7, 7, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 9, 9, 0, 0, 0, 0, 10, 10, 0, 0, 0, 0, 11, 11, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, 13, 13, 0, 0, 0, 13, 13, 0, 13, 13, 0, 0, 13, 13, 13, 0, 0, 0, 0, 0, 0, 13, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 16, 16, 1, 1, 2, 1, 2, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 4, 1, 1, 4, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 8, 1, 2, 1, 1, 2, 2, 8, 8, 8, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 3, 3, 0, 0, 0, 2, 0, 0, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 3, 3, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 10, 1, 1, 1, 1, 10, 10, 10, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2 ]
[ 823, 41857, 44, 284, 665, 1156, 8829, 3207, 784, 30, 1604, 711, 203, 202, 601, 9753, 6870, 463, 520, 370, 630, 30, 1604, 27, 284, 665, 1156, 669, 3207, 784, 30, 1604, 711, 203, 202, 601, 9753, 6870, 463, 520, 36, 370, 630, 30, 1604, 27, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 203, 202, 601, 9753, 6870, 463, 3685, 370, 630, 30, 1604, 27, 203, 823, 1737, 3848, 26, 2141, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 711, 203, 202, 784, 32, 426, 280, 636, 284, 665, 1156, 466, 3207, 784, 711, 203, 202, 601, 630, 32, 426, 203, 823, 9753, 6870, 26, 2141, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3420, 426, 30, 319, 1132, 711, 203, 202, 784, 32, 1298, 426, 280, 3420, 426, 203, 202, 784, 32, 1132, 280, 2181, 284, 665, 1156, 466, 3207, 784, 711, 203, 202, 601, 6611, 101, 7846, 101, 9905, 42668, 784, 32, 1298, 426, 30, 17359, 32, 2524, 2009, 466, 26, 106, 27, 436, 816, 328, 630, 32, 1132, 5259, 203, 823, 2752, 18405, 295, 8634, 44, 284, 665, 1156, 1664, 3207, 784, 30, 2047, 30, 2155, 30, 319, 4156, 30, 1115, 38103, 711, 203, 202, 784, 32, 1803, 280, 2047, 203, 202, 784, 32, 3585, 280, 2155, 203, 202, 784, 32, 4156, 280, 1605, 203, 202, 979, 595, 30, 3089, 328, 10703, 26, 4156, 711, 3269, 415, 19326, 26, 520, 30, 330, 3585, 683, 461, 3089, 32, 3585, 610, 2155, 44, 357, 202, 4617, 3269, 4348, 20695, 26, 520, 27, 556, 3089, 328, 2047, 32, 815, 32, 7003, 81, 7428, 81, 426, 44, 357, 202, 520, 38103, 280, 2149, 357, 202, 325, 330, 8543, 25, 328, 8556, 3210, 44, 6986, 3089, 38103, 710, 8543, 785, 280, 8556, 3210, 710, 8543, 785, 357, 202, 520, 280, 2047, 32, 7003, 81, 7428, 32, 890, 26, 3585, 30, 3089, 30, 1115, 520, 38103, 27, 3269, 813, 44, 357, 202, 13225, 12678, 30, 6611, 101, 438, 646, 312, 2080, 4212, 21735, 520, 3269, 630, 32, 4156, 32, 1689, 26, 520, 27, 3269, 39506, 26, 784, 30, 330, 520, 23, 86, 21735, 91, 30, 3089, 27, 203, 202, 784, 32, 1516, 4156, 280, 2069, 26, 784, 32, 4156, 27, 203, 202, 979, 831, 30, 354, 328, 8556, 3210, 32, 3028, 2262, 3269, 39506, 26, 784, 30, 831, 30, 354, 27, 284, 665, 7096, 26, 784, 30, 816, 30, 533, 30, 319, 7026, 711, 203, 202, 325, 646, 816, 610, 533, 44, 3269, 442, 3177, 203, 202, 979, 345, 328, 1829, 44, 3269, 415, 646, 533, 610, 345, 44, 357, 202, 601, 3177, 203, 202, 601, 2933, 203, 823, 13312, 3774, 44, 284, 665, 1156, 1664, 3207, 784, 30, 2155, 30, 3089, 30, 10625, 47, 2521, 30, 28967, 47, 2521, 30, 22483, 47, 2521, 30, 5934, 47, 2521, 30, 31616, 47, 2521, 711, 203, 202, 784, 32, 3585, 280, 2155, 203, 202, 784, 32, 13352, 280, 225, 36, 203, 202, 325, 6937, 26, 520, 30, 596, 711, 3269, 3089, 426, 280, 3089, 3269, 3420, 280, 9967, 463, 5962, 816, 30, 107, 44 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 7, 7, 9, 9, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 7, 7, 9, 9, 9, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 7, 7, 9, 9, 7, 7, 7, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 5, 6, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 4, 6, 4, 3, 3, 8, 7, 8, 8, 6, 6, 7, 4, 4, 8, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 5, 8, 8, 8, 8, 6, 9, 8, 9, 9, 7, 7, 9, 10, 9, 12, 12, 13, 12, 10, 11, 11, 11, 12, 13, 10, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 6, 6, 4, 4, 5, 5, 6, 6, 5, 5, 7, 8, 7, 5, 5, 7, 10, 11, 10, 10, 12, 12, 8, 8, 10, 11, 9, 9, 7, 7, 7, 9, 7, 7, 8, 11, 12, 11, 9, 9, 10, 10, 12, 13, 11, 12, 12, 12, 12, 12, 8, 8, 8, 12, 12, 11, 11, 9, 9, 10, 10, 13, 13, 11, 11, 12, 10, 10, 10, 15, 14, 16, 16, 13, 13, 15, 14, 16, 16, 9, 9, 12, 11, 11, 14, 15, 15, 15, 13, 14, 13, 14, 13, 13, 13, 13, 15, 15, 13, 7, 7, 8, 8, 8, 10, 10, 11, 11, 14, 14, 14, 14, 14, 14, 14, 13, 6, 6, 10, 11, 9, 10, 9, 10, 9, 6, 6, 9, 10, 9, 9, 12, 12, 12, 12, 11, 9, 9, 9, 4, 4, 8, 7, 8, 8, 6, 6, 8, 10, 9, 10, 8, 4, 4, 5, 5, 6, 6, 5, 5, 8, 7, 8, 7, 5, 5, 9, 10, 9, 9, 9, 9, 9, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 6, 4, 3, 3, 5, 5, 6, 7, 7, 5, 5, 5, 7, 4, 4, 5, 5, 5, 5, 5, 5, 5, 7, 8, 9, 9, 7, 7, 7, 9, 9, 4, 4, 5, 5, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 6, 6, 7, 4, 4, 5, 5, 7, 8, 7, 7, 7, 5, 5, 9, 8, 8, 6, 6, 8, 8, 10, 13, 13, 13, 13, 13 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 3, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 3, 2, 1, 0, 3, 3, 1, 1, 1, 3, 3, 3, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 4, 4, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 3, 3, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 5, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 5, 5, 0, 2, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 4, 4, 5, 5, 1, 1, 5, 5, 0, 0, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 4, 4, 2, 2, 0, 4, 4, 1, 4, 4, 4, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 2, 13, 2, 2, 2, 15, 2, 2, 0, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 2, 4, 4, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1 ]
[ 1070, 309, 6145, 32, 9777, 1188, 17490, 4601, 81, 10870, 30, 5042, 521, 7416, 81, 10870, 203, 589, 739, 81, 19448, 81, 5740, 26, 599, 81, 4151, 711, 284, 7442, 81, 3631, 280, 622, 81, 19448, 81, 25582, 26, 291, 2234, 81, 4151, 284, 829, 10065, 7442, 81, 25057, 280, 622, 81, 5740, 81, 1070, 81, 599, 26, 7949, 81, 3631, 30, 2234, 81, 4151, 30, 313, 7949, 657, 284, 1135, 605, 81, 25057, 280, 622, 81, 5740, 81, 1070, 81, 599, 26, 7949, 81, 3631, 30, 2234, 81, 4151, 30, 313, 1732, 605, 657, 284, 442, 308, 7949, 81, 25057, 30, 1135, 605, 81, 25057, 27, 203, 589, 622, 81, 5740, 81, 1070, 81, 599, 26, 7949, 81, 3631, 30, 2234, 81, 4151, 30, 1300, 81, 681, 711, 284, 18274, 81, 4151, 280, 1605, 284, 415, 1300, 81, 681, 610, 313, 7949, 563, 291, 18274, 81, 4151, 280, 5042, 521, 7416, 81, 10870, 284, 813, 44, 16189, 18274, 81, 4151, 280, 17490, 4601, 81, 10870, 284, 18274, 81, 5740, 280, 1605, 284, 436, 7442, 81, 314, 328, 7442, 81, 3631, 44, 16189, 1361, 95, 81, 2067, 280, 2149, 16189, 415, 1300, 81, 681, 610, 313, 1732, 605, 20, 461, 313, 1732, 605, 15659, 474, 7442, 81, 314, 646, 328, 2234, 81, 4151, 44, 324, 4036, 291, 1361, 95, 81, 2067, 1365, 4700, 81, 681, 1446, 280, 1300, 81, 681, 291, 1361, 95, 81, 2067, 1365, 1732, 81, 314, 1446, 280, 2234, 81, 4151, 32, 371, 440, 1732, 81, 314, 657, 291, 1361, 95, 81, 2067, 1365, 3153, 1446, 280, 2234, 81, 4151, 32, 371, 440, 3153, 18505, 474, 7442, 81, 314, 27, 291, 436, 1202, 30, 2078, 328, 18274, 81, 4151, 32, 3028, 2262, 23688, 1600, 81, 853, 280, 2234, 81, 4151, 32, 371, 26, 678, 474, 6640, 20, 474, 7442, 81, 314, 27, 324, 415, 1600, 81, 853, 461, 646, 1600, 81, 853, 610, 4825, 563, 400, 415, 1202, 610, 313, 612, 81, 4948, 563, 261, 528, 2488, 4948, 81, 1294, 280, 1600, 81, 853, 32, 2998, 35619, 657, 528, 1361, 95, 81, 2067, 1365, 612, 81, 4948, 1446, 280, 2488, 4948, 81, 1294, 77, 34, 79, 528, 1361, 95, 81, 2067, 1365, 21542, 4849, 1446, 280, 2488, 4948, 81, 1294, 77, 35, 79, 400, 813, 44, 528, 1361, 95, 81, 2067, 77, 678, 79, 280, 1600, 81, 853, 291, 415, 1300, 81, 681, 610, 313, 1732, 605, 563, 324, 1361, 95, 81, 2067, 1365, 81, 314, 1446, 280, 308, 400, 596, 26, 1113, 95, 81, 2067, 1365, 1732, 81, 314, 6890, 474, 25850, 474, 7442, 81, 314, 474, 25850, 474, 596, 26, 1113, 95, 81, 2067, 1365, 27797, 81, 314, 6890, 324, 829, 291, 813, 44, 324, 1361, 95, 81, 2067, 1365, 81, 314, 1446, 280, 596, 26, 1113, 95, 81, 2067, 1365, 1732, 81, 314, 6890, 474, 25850, 474, 7442, 81, 314, 291, 18274, 81, 5740, 32, 1689, 26, 1113, 95, 81, 2067, 27, 284, 442, 18274, 81, 5740, 203, 589, 622, 81, 19448, 81, 25582, 26, 599, 81, 4151, 711, 284, 37166, 6862, 280, 1605, 284, 415 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 7, 6, 6, 8, 8, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 7, 6, 6, 8, 8, 8, 2, 2, 3, 5, 5, 5, 4, 4, 5, 5, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 5, 5, 4, 4, 6, 6, 3, 3, 7, 7, 6, 6, 7, 7, 7, 7, 3, 3, 4, 4, 4, 8, 8, 7, 7, 8, 8, 8, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 7, 7, 7, 6, 6, 4, 4, 5, 8, 8, 7, 7, 9, 9, 9, 6, 6, 10, 10, 10, 8, 8, 9, 9, 7, 7, 7, 8, 8, 5, 5, 5, 4, 4, 8, 8, 8, 7, 9, 9, 9, 9, 6, 6, 7, 7, 4, 4, 8, 8, 8, 7, 9, 9, 9, 9, 6, 6, 9, 9, 8, 9, 8, 10, 10, 10, 10, 4, 4, 8, 8, 8, 7, 9, 9, 6, 6, 9, 9, 8, 9, 8, 11, 11, 9, 9, 10, 10, 8, 4, 4, 5, 6, 6, 5, 5, 8, 8, 7, 8, 7, 5, 5, 9, 9, 8, 8, 11, 11, 10, 11, 10, 13, 12, 12, 14, 11, 11, 12, 12, 10, 6, 6, 7, 9, 9, 8, 8, 9, 11, 11, 10, 10, 12, 7, 7, 9, 10, 10, 12, 12, 12, 12, 9, 9, 9, 13, 13, 13, 12, 12, 15, 15, 14, 15, 14, 16, 10, 10, 14, 14, 14, 13, 15, 15, 15, 15, 12, 12, 14, 14, 14, 13, 14, 13, 10, 10, 14, 14, 14, 13, 15, 15, 15, 12, 12, 14, 14, 14, 13, 14, 13, 9, 9, 10, 10, 10, 15, 15, 15, 14, 15, 14, 13, 13, 14, 14, 4, 4, 5, 7, 7, 6, 6, 8, 8, 8, 5, 5, 10, 10, 10, 9, 11, 11, 11, 8, 8, 9, 9, 15, 17, 17, 17, 17, 16, 18, 18, 18, 18, 13, 13, 12, 12, 13, 13, 11, 11, 10, 10, 12, 14, 14, 14, 14, 13, 15, 15, 15, 15, 9, 9, 5, 5, 6, 6, 6, 11, 11, 11, 10, 12, 12, 12, 9, 9, 13, 15, 15, 15, 15, 14, 16, 16, 16, 16, 11, 11, 10, 10, 11, 11, 4, 4, 8, 8, 7, 8, 7, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 4, 4, 2, 2 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 3, 3, 3, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 0, 0, 0, 0, 4, 4, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 5, 5, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 5, 5, 5, 1, 1, 5, 5, 0, 0, 0, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 5, 5, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 5, 5, 6, 0, 0, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 6, 6, 4, 4, 4, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 0, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 4, 4 ]
[ 465, 5237, 30, 15798, 30, 316, 30, 2322, 32, 983, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 31001, 370, 31001, 370, 31001, 370, 330, 1617, 2847, 203, 465, 1283, 1423, 32, 1040, 32, 12288, 38, 203, 823, 24671, 38, 1006, 26, 18986, 32, 7233, 711, 284, 21318, 613, 8009, 280, 1283, 1423, 32, 1040, 32, 12288, 38, 284, 665, 894, 1622, 7086, 26, 784, 711, 291, 645, 1283, 1423, 32, 1040, 32, 12288, 38, 1188, 438, 81, 639, 291, 630, 32, 862, 5908, 297, 81, 639, 463, 34, 32, 34, 32, 34, 32, 34, 2847, 291, 630, 32, 862, 5908, 297, 81, 639, 463, 36, 39, 39, 32, 36, 39, 39, 32, 36, 39, 39, 32, 36, 39, 39, 2847, 291, 630, 32, 862, 5908, 297, 81, 639, 463, 35, 32, 36, 32, 37, 32, 38, 2847, 291, 630, 32, 862, 5908, 1206, 438, 81, 639, 463, 2847, 291, 630, 32, 862, 5908, 1206, 438, 81, 639, 463, 35, 2847, 291, 630, 32, 862, 5908, 1206, 438, 81, 639, 463, 35, 32, 36, 32, 37, 32, 2847, 291, 630, 32, 862, 5908, 1206, 438, 81, 639, 3949, 35, 32, 36, 32, 37, 2847, 291, 630, 32, 862, 5908, 1206, 438, 81, 639, 463, 35, 32, 36, 37, 32, 38, 2847, 291, 630, 32, 862, 5908, 1206, 438, 81, 639, 463, 35, 497, 37, 32, 38, 2847, 284, 665, 894, 25640, 7086, 26, 784, 711, 291, 645, 1283, 1423, 32, 1040, 32, 12288, 38, 1188, 13316, 81, 639, 291, 630, 32, 5299, 26, 12944, 81, 639, 463, 34, 32, 34, 32, 34, 32, 34, 1425, 263, 330, 34, 34, 34, 32, 34, 34, 34, 32, 34, 34, 34, 32, 34, 34, 34, 683, 291, 630, 32, 5299, 26, 12944, 81, 639, 463, 36, 39, 39, 32, 36, 39, 39, 32, 36, 39, 39, 32, 36, 39, 39, 1425, 330, 36, 39, 39, 32, 36, 39, 39, 32, 36, 39, 39, 32, 36, 39, 39, 683, 291, 630, 32, 5299, 26, 12944, 81, 639, 463, 34, 34, 35, 32, 34, 34, 36, 32, 34, 34, 37, 32, 34, 34, 38, 1425, 330, 34, 34, 35, 32, 34, 34, 36, 32, 34, 34, 37, 32, 34, 34, 38, 683, 291, 630, 32, 5299, 26, 12944, 81, 639, 463, 35, 43, 36, 32, 35, 40, 42, 32, 34, 35, 34, 32, 34, 34, 35, 1425, 330, 35, 43, 36, 32, 35, 40, 42, 32, 34, 35, 34, 32, 34, 34, 35, 683, 291, 630, 32, 5299, 26, 12944, 81, 639, 463, 34, 32, 35, 36, 42, 32, 36, 39, 39, 32, 34, 1425, 262, 330, 34, 34, 34, 32, 35, 36, 42, 32, 36, 39, 39, 32, 34, 34, 34, 683, 284, 665, 894, 10780, 7086, 26, 784, 711, 291, 645, 1283, 1423, 32, 1040, 32, 12288, 38, 1188, 5063, 81, 639, 291, 630, 32, 5299, 26, 6008, 81, 639, 463, 34, 32, 34, 32, 34, 32, 34, 1425, 263, 330, 34, 32, 34, 32, 34, 32, 34, 683, 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, 1, 1, 1, 1, 1, 1, 2, 3, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 5, 7, 5, 7, 5, 7, 5, 7, 7, 0, 1, 1, 3, 2, 3, 2, 3, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 7, 6, 7, 5, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 6, 7, 6, 7, 7, 5, 5, 7, 7, 4, 4, 7, 8, 8, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 8, 10, 10, 10, 12, 4, 4, 7, 8, 8, 8, 8, 10, 10, 10, 12, 12, 4, 4, 7, 8, 8, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 4, 4, 7, 8, 8, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 4, 4, 7, 8, 8, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 4, 4, 7, 8, 8, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 6, 7, 6, 7, 7, 5, 5, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 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, 5, 7, 6, 7, 6, 7, 7, 5, 5, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 7, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 4, 4, 0, 3, 3, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 0, 0, 1, 1, 4, 4, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4 ]
[ 1070, 7138, 1188, 7138, 30, 30784, 203, 1070, 3312, 32, 8524, 1188, 4395, 30, 15798, 203, 465, 2322, 203, 1070, 36387, 1188, 6887, 203, 1070, 36387, 32, 8524, 1188, 11764, 496, 203, 12452, 81, 6191, 280, 301, 284, 330, 4568, 464, 950, 301, 291, 1044, 25, 2791, 29137, 950, 1044, 25, 10117, 81, 3560, 81, 678, 370, 291, 1044, 25, 1227, 950, 1044, 25, 4411, 370, 291, 1044, 25, 23884, 950, 1044, 25, 36, 34, 35, 36, 31, 34, 43, 31, 34, 35, 70, 34, 37, 44, 39, 41, 44, 37, 38, 76, 370, 291, 1044, 25, 3267, 9032, 950, 1044, 25, 36, 34, 35, 36, 31, 34, 42, 31, 37, 35, 70, 36, 35, 44, 38, 37, 44, 38, 34, 76, 370, 291, 1044, 25, 7792, 33877, 950, 1044, 25, 10117, 81, 7241, 81, 678, 370, 291, 1044, 25, 1763, 950, 1044, 25, 10117, 81, 1956, 370, 291, 1044, 25, 620, 950, 1044, 25, 10645, 31, 40622, 25, 284, 320, 203, 111, 203, 823, 2108, 2570, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 12757, 280, 2149, 291, 630, 32, 1163, 280, 2149, 291, 630, 32, 4190, 81, 1163, 280, 2149, 291, 630, 32, 4519, 81, 2675, 280, 4395, 32, 2675, 463, 2195, 97, 32, 2304, 32, 371, 81, 2386, 81, 4519, 683, 291, 630, 32, 1163, 81, 2675, 280, 4395, 32, 2675, 463, 2195, 97, 32, 6385, 32, 1163, 32, 371, 370, 10000, 630, 32, 371, 81, 1163, 27, 291, 630, 32, 2040, 81, 1163, 81, 2675, 280, 4395, 32, 2675, 463, 2195, 97, 32, 6385, 32, 1163, 32, 2040, 81, 1762, 370, 12928, 630, 32, 2040, 81, 1163, 27, 291, 630, 32, 1163, 81, 1473, 81, 2675, 280, 4395, 32, 2675, 32, 1473, 26, 324, 6887, 32, 1063, 30, 330, 371, 370, 630, 32, 371, 81, 4190, 81, 1163, 27, 291, 630, 32, 2040, 81, 1163, 81, 1473, 81, 2675, 280, 4395, 32, 2675, 32, 1473, 26, 324, 6887, 32, 1063, 30, 330, 2040, 81, 1762, 370, 630, 32, 2040, 81, 4190, 81, 1163, 27, 291, 630, 32, 12757, 81, 2675, 280, 4395, 32, 2675, 463, 500, 32, 12757, 370, 630, 32, 12757, 27, 291, 630, 32, 371, 81, 2386, 81, 4519, 280, 630, 32, 4519, 81, 2675, 32, 1366, 346, 291, 630, 32, 371, 81, 2386, 81, 4519, 32, 601, 81, 853, 280, 1665, 291, 630, 32, 1163, 81, 2675, 32, 1366, 346, 291, 630, 32, 2040, 81, 1163, 81, 2675, 32, 1366, 346, 291, 630, 32, 1163, 81, 1473, 81, 2675, 32, 1366, 346, 291, 630, 32, 2040, 81, 1163, 81, 1473, 81, 2675, 32, 1366, 346, 291, 630, 32, 12757, 81, 2675, 32, 1366, 346, 284, 665, 28921, 26, 784, 711, 291, 630, 32, 4519, 81, 2675, 32, 4048, 346, 291, 630, 32, 1163, 81, 2675, 32, 4048, 346, 291, 630, 32, 2040, 81, 1163, 81, 2675, 32, 4048, 346, 291, 630, 32, 1163, 81, 1473, 81, 2675, 32, 4048, 346, 291, 630, 32, 2040, 81, 1163, 81, 1473, 81, 2675, 32, 4048, 346, 291, 630, 32, 12757, 81, 2675 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 4, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 8, 5, 5, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 8, 8, 9, 10, 8, 8, 10, 10, 8, 9, 10, 10, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 8, 8, 9, 10, 8, 8, 10, 10, 10, 10, 8, 9, 10, 10, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 9, 10, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 9, 10, 10, 10, 8, 9, 8, 4, 4, 8, 9, 9, 9, 9, 9, 7, 8, 8, 8, 6, 6, 4, 4, 8, 9, 9, 9, 7, 8, 7, 4, 4, 8, 9, 9, 9, 9, 9, 7, 8, 7, 4, 4, 8, 9, 9, 9, 9, 9, 7, 8, 7, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 7, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 9, 9, 7, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 4, 4, 8, 9, 9, 9, 9, 9, 7, 8, 7, 4, 4, 8, 9, 9, 9, 9, 9, 7, 8, 7, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 7, 8, 7, 4, 4, 8, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 3, 0, 1, 2, 2, 2, 0, 1, 2, 5, 0, 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, 1, 2, 7, 0, 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, 1, 2, 9, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 11, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 13, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 6, 6, 1, 2, 0, 1, 2, 2, 6, 6, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2 ]
[ 465, 5237, 203, 465, 316, 203, 465, 2322, 203, 465, 787, 1909, 203, 465, 14465, 203, 465, 1933, 203, 465, 2919, 2208, 203, 465, 4134, 203, 1070, 28520, 1188, 3878, 203, 1070, 28520, 1188, 1156, 1648, 505, 203, 1070, 28520, 32, 2304, 32, 5558, 1188, 319, 203, 1070, 28520, 32, 2304, 1188, 3079, 203, 1070, 28520, 32, 18931, 1188, 2503, 203, 465, 28520, 32, 9777, 619, 390, 203, 465, 1133, 203, 465, 44524, 203, 465, 6314, 203, 465, 5615, 3945, 203, 465, 34896, 203, 465, 49098, 203, 465, 3995, 203, 465, 5839, 1356, 203, 465, 11685, 203, 465, 27374, 203, 465, 622, 4617, 203, 465, 5237, 203, 465, 1344, 4071, 203, 22841, 2636, 2917, 47, 34, 203, 286, 4677, 993, 280, 2149, 203, 9762, 2425, 280, 2149, 203, 3459, 81, 3539, 81, 3364, 81, 7321, 81, 30064, 47, 35, 28, 35, 34, 36, 38, 28, 35, 34, 36, 38, 203, 1270, 44, 284, 1188, 2361, 203, 7343, 29986, 44, 284, 1188, 4281, 1260, 619, 2361, 203, 1270, 44, 284, 645, 42406, 1188, 8735, 39, 619, 617, 954, 39, 203, 7343, 29986, 44, 284, 645, 8735, 39, 1188, 8735, 39, 619, 617, 954, 39, 203, 9691, 7655, 81, 25431, 280, 3177, 203, 1270, 44, 284, 1188, 3097, 1356, 32, 2888, 284, 25260, 7655, 81, 25431, 280, 2933, 203, 7343, 44, 284, 3097, 203, 3307, 29998, 783, 81, 25431, 47, 2700, 203, 1270, 44, 284, 1188, 1202, 13478, 282, 32, 4275, 619, 1202, 81, 4275, 284, 645, 1202, 13478, 282, 32, 3494, 1188, 399, 307, 953, 284, 5578, 29998, 783, 81, 25431, 47, 1815, 203, 7343, 29986, 44, 284, 3097, 203, 589, 1202, 81, 979, 81, 12256, 26, 12256, 711, 284, 415, 646, 5578, 29998, 783, 81, 25431, 44, 291, 3636, 3878, 32, 1045, 21581, 924, 440, 2958, 31, 678, 13478, 282, 2298, 526, 6713, 544, 322, 3498, 6652, 372, 793, 16636, 25087, 19405, 657, 284, 1202, 81, 983, 280, 2322, 32, 983, 32, 8931, 496, 440, 30127, 5704, 11653, 32, 3494, 657, 284, 415, 646, 2322, 32, 983, 32, 4658, 26, 678, 81, 983, 711, 291, 2322, 32, 27428, 26, 678, 81, 983, 27, 284, 1202, 81, 983, 280, 2322, 32, 983, 32, 8931, 496, 440, 30127, 5704, 11653, 32, 3494, 9708, 101, 20, 904, 15871, 27, 284, 415, 646, 2322, 32, 983, 32, 4658, 26, 678, 81, 983, 27, 556, 308, 1003, 32, 1003, 346, 429, 2322, 32, 983, 32, 371, 29290, 26, 678, 81, 983, 27, 848, 225, 40, 34, 28, 40, 34, 28, 36, 711, 291, 1202, 280, 399, 307, 953, 32, 10505, 346, 291, 23818, 280, 2156, 26, 678, 81, 983, 30, 313, 105, 657, 291, 23818, 32, 1821, 26, 466, 26, 678, 490, 291, 23818, 32, 2679, 346, 291, 442, 1202, 284, 813, 44, 291, 23818, 280, 2156, 26, 678, 81, 983, 27, 291, 1202, 280, 399, 307, 953, 32, 2230, 26, 13410, 32, 850, 1157, 291, 23818, 32, 2679, 346, 291, 442, 1202, 203, 589, 18884, 26, 678, 30, 3124, 711, 284, 442, 1202, 32, 19392, 26, 2076, 27, 203, 589, 24827, 26, 678, 30, 3124, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 0, 3, 3, 3, 2, 3, 0, 3, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 4, 7, 5, 5, 0, 1, 1, 1, 1, 3, 3, 3, 6, 4, 4, 5, 5, 1, 2, 2, 2, 2, 2, 4, 6, 4, 4, 7, 5, 5, 6, 6, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 3, 5, 4, 5, 2, 2, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 2, 3, 0, 1, 1, 1, 1, 3, 6, 6, 5, 6, 4, 4, 5, 5, 2, 2, 3, 5, 5, 4, 5, 3, 3, 5, 5, 2, 2, 5, 5, 5, 5, 4, 5, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 5, 5, 5, 3, 3, 3, 5, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 7, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 3, 3, 7, 8, 7, 8, 8, 8, 7, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 7, 6, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 6, 2, 2, 3, 5, 8, 9, 7, 8, 7, 8, 8, 8, 7, 4, 4, 10, 9, 10, 9, 7, 7, 10, 11, 9, 10, 10, 9, 10, 10, 10, 9, 6, 6, 9, 9, 8, 9, 9, 7, 8, 5, 3, 3, 6, 6, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 8, 10, 10, 4, 4, 7, 8, 7, 9, 9, 10, 9, 4, 4, 7, 8, 7, 4, 4, 5, 3, 3, 4, 4, 4, 7, 7, 9, 10, 10, 10, 9, 5, 5, 7, 7, 10, 10, 9, 10, 9, 12, 11, 12, 11, 5, 5, 8, 9, 8, 5, 5, 6, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 3, 5, 6, 5, 6, 5, 0, 1, 1, 2, 3, 2, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 7, 7, 0, 8, 8, 8, 8, 0, 9, 9, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 11, 11, 1, 2, 11, 11, 0, 12, 12, 1, 2, 12, 12, 0, 13, 13, 0, 2, 1, 1, 0, 14, 14, 0, 15, 15, 0, 16, 16, 0, 17, 17, 0, 0, 18, 18, 0, 19, 19, 0, 20, 20, 0, 21, 21, 0, 0, 22, 22, 0, 23, 23, 0, 24, 24, 0, 0, 25, 25, 0, 26, 26, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 31, 31, 31, 31, 0, 31, 3, 3, 3, 3, 3, 0, 0, 1, 1, 0, 32, 32, 32, 32, 0, 0, 0, 0, 3, 3, 2, 2, 32, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 34, 34, 34, 34, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 34, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 36, 36, 36, 36, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 36, 3, 3, 3, 3, 3, 0, 37, 37, 1, 1, 1, 1, 2, 1, 2, 37, 37, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 0, 1, 1, 1, 3, 3, 0, 2, 1, 3, 3, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 3, 0, 38, 38, 2, 1, 2, 2, 2, 38, 38, 0, 0, 2, 1, 1, 1, 0, 39, 39, 2, 1, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 30, 766, 284, 623, 81, 9849, 203, 465, 6234, 203, 465, 1671, 203, 465, 5741, 203, 465, 42406, 203, 465, 48088, 203, 567, 22242, 9036, 81, 19155, 280, 225, 35, 34, 203, 567, 22242, 9036, 81, 37082, 81, 19155, 280, 225, 35, 36, 203, 567, 22242, 9036, 81, 37082, 81, 4601, 81, 6169, 280, 225, 36, 203, 71, 280, 225, 34, 203, 54, 280, 225, 35, 203, 589, 9637, 35, 81, 32354, 26, 7241, 30, 706, 711, 284, 442, 48088, 32, 890, 26, 7241, 30, 706, 30, 42406, 32, 5567, 35, 547, 13995, 346, 203, 589, 544, 12261, 2393, 81, 6967, 2176, 2888, 30, 706, 30, 1202, 711, 284, 442, 617, 2888, 610, 9637, 35, 81, 32354, 26, 678, 30, 706, 27, 2867, 567, 22242, 9036, 81, 19155, 79, 203, 589, 544, 12261, 2393, 81, 2518, 26, 605, 30, 1202, 711, 284, 442, 9637, 35, 81, 32354, 26, 678, 30, 706, 27, 2867, 567, 22242, 9036, 81, 19155, 79, 203, 589, 8248, 81, 655, 26, 101, 711, 284, 415, 827, 26, 101, 27, 610, 629, 44, 291, 442, 309, 284, 442, 617, 655, 26, 101, 27, 203, 589, 8248, 81, 9918, 26, 86, 711, 284, 415, 3519, 610, 596, 44, 291, 442, 617, 9918, 26, 86, 27, 284, 442, 3519, 2009, 86, 1130, 203, 81, 655, 280, 16167, 203, 81, 9918, 280, 21749, 203, 655, 280, 8248, 81, 655, 203, 9918, 280, 8248, 81, 9918, 203, 589, 372, 81, 3651, 26, 101, 711, 284, 415, 3519, 863, 596, 44, 291, 415, 827, 26, 101, 27, 610, 596, 44, 324, 442, 309, 32, 4434, 463, 3310, 31, 42, 683, 284, 442, 309, 203, 589, 372, 81, 466, 26, 101, 711, 284, 415, 3519, 863, 596, 44, 291, 415, 827, 26, 101, 27, 610, 3519, 44, 324, 442, 309, 32, 5460, 463, 3310, 31, 42, 683, 284, 442, 309, 203, 589, 34626, 81, 96, 1393, 26, 5065, 30, 4749, 466, 711, 284, 415, 13872, 610, 6234, 32, 5995, 81, 21399, 44, 291, 442, 372, 81, 3651, 26, 4817, 32, 13246, 81, 96, 28578, 26, 639, 466, 490, 284, 4348, 13872, 610, 6234, 32, 5995, 81, 21399, 40, 44, 291, 1188, 316, 291, 354, 40, 3225, 280, 14589, 2473, 2524, 26, 15339, 34, 36, 74, 23, 34, 36, 74, 25, 904, 308, 655, 26, 91, 471, 16167, 26, 92, 23891, 94, 7201, 463, 34, 683, 3775, 436, 595, 30, 594, 328, 8529, 26, 639, 466, 77, 403, 36, 614, 4749, 466, 77, 35, 403, 36, 5259, 291, 354, 40, 3225, 280, 316, 32, 1113, 463, 403, 44292, 45242, 370, 354, 40, 3225, 30, 2385, 47, 35, 27, 291, 442, 372, 81, 3651, 26, 104, 40, 3225, 27, 203, 589, 34626, 81, 45678, 26, 5065, 30, 8705, 711, 284, 8705, 280, 372, 81, 466, 26, 3225, 27, 284, 415, 13872, 610, 6234, 32, 5995, 81, 21399, 44, 291, 442, 6234, 32, 13246, 81, 20403, 26, 3225, 27, 284, 4348, 13872, 610, 6234, 32, 5995, 81, 21399, 40, 44, 291, 415, 18491, 328 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 2, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 7, 8, 7, 8, 7, 7, 7, 7, 8, 9, 9, 7, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 5, 4, 4, 7, 7, 7, 7, 8, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 6, 6, 6, 6, 7, 6, 6, 6, 4, 6, 6, 6, 6, 6, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 6, 4, 4, 3, 3, 3, 5, 2, 2, 3, 5, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 7, 7, 8, 7, 2, 2, 3, 5, 7, 6, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 2, 2, 3, 3, 0, 3, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 8, 9, 8, 6, 6, 5, 5, 5, 7, 9, 10, 9, 11, 11, 11, 11, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 8, 9, 8, 6, 6, 5, 5, 5, 7, 9, 10, 9, 11, 11, 11, 11, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 6, 6, 6, 3, 3, 3, 5, 7, 7, 7, 10, 9, 10, 10, 10, 10, 9, 10, 10, 9, 3, 3, 4, 5, 5, 6, 7, 7, 7, 7, 4, 4, 4, 6, 5, 5, 8, 8, 7, 7, 11, 10, 9, 12, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 16, 16, 17, 16, 14, 16, 17, 16, 12, 12, 11, 13, 13, 9, 9, 10, 11, 11, 10, 10, 12, 14, 14, 13, 14, 15, 13, 12, 14, 13, 15, 14, 15, 13, 5, 5, 8, 8, 7, 7, 9, 10, 9, 11, 11, 9, 11, 9, 10, 10, 9, 9, 10, 11, 9, 5, 5, 6, 8, 8, 8, 9, 9, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 7, 6, 2, 2, 3, 4, 4, 5, 6, 6, 6, 3, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 3, 3, 4, 5, 5, 6, 7, 7, 7, 7, 4, 4, 4, 6, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 11, 11, 1, 1, 1, 2, 1, 2, 2, 2, 11, 11, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 2, 2, 1, 2, 1, 0, 12, 12, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 12, 12, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 13, 13, 1, 1, 1, 1, 2, 1, 2, 2, 2, 13, 13, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 14, 14, 1, 1, 2, 1, 2, 14, 14, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 4, 4, 1, 0, 1, 1, 1, 0, 15, 15, 1, 1, 2, 1, 2, 15, 15, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 20, 20, 1, 1, 2, 1, 2, 20, 20, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 0, 21, 21, 1, 1, 2, 1, 2, 21, 21, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 0, 22, 22, 1, 1, 1, 2, 1, 2, 2, 3, 2, 22, 22, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 4, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 3, 3, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 3, 0, 2, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 5, 5, 1, 1, 7, 2, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 0, 23, 23, 1, 1, 2, 1, 2, 2, 2, 23, 23, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 1 ]
[ 1070, 8527, 1188, 10548, 203, 1070, 8527, 81, 266, 4446, 1188, 10880, 203, 1070, 8527, 81, 266, 4446, 32, 8538, 1188, 29662, 1176, 203, 1070, 894, 81, 725, 32, 266, 4446, 1188, 9261, 10144, 203, 1070, 638, 858, 81, 2282, 1188, 701, 4446, 7233, 203, 505, 464, 505, 280, 2726, 10144, 1241, 7233, 370, 27, 203, 823, 29662, 1241, 26, 8538, 32, 1241, 711, 284, 1795, 280, 29662, 1176, 346, 203, 823, 29662, 1241, 7233, 26, 383, 4446, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 10880, 32, 3317, 463, 3474, 370, 9261, 10144, 27, 284, 665, 894, 81, 1327, 81, 599, 26, 784, 711, 291, 2234, 280, 29662, 1241, 1371, 324, 330, 1286, 950, 324, 1044, 25, 1656, 2248, 1638, 35, 1638, 36, 8556, 626, 35, 47, 4124, 626, 35, 8556, 626, 36, 47, 4124, 626, 36, 2038, 18143, 291, 630, 32, 6549, 26, 599, 32, 297, 81, 1327, 1157, 284, 665, 894, 81, 8144, 81, 4275, 26, 784, 711, 291, 1795, 280, 1044, 9592, 324, 3335, 2038, 324, 3319, 6512, 324, 3335, 2248, 36, 2038, 324, 3335, 2248, 1638, 35, 47, 626, 35, 1638, 36, 8556, 626, 35, 47, 4124, 626, 35, 8556, 626, 36, 47, 4124, 626, 36, 2038, 291, 5881, 291, 2234, 280, 29662, 1241, 14178, 1286, 950, 1795, 1748, 291, 630, 32, 14846, 26, 599, 32, 297, 81, 1327, 1157, 291, 630, 32, 5299, 2009, 324, 1044, 25, 6647, 1048, 544, 1628, 225, 36, 32, 14893, 4447, 2431, 6418, 324, 1044, 25, 6647, 1048, 544, 1628, 225, 40, 32, 29662, 529, 3474, 36, 82, 438, 646, 10416, 6418, 324, 1044, 25, 6647, 1048, 544, 1628, 225, 42, 32, 29662, 529, 3474, 1638, 35, 47, 626, 35, 1638, 36, 330, 324, 1044, 25, 4124, 626, 35, 47, 4124, 626, 35, 8556, 626, 36, 47, 4124, 626, 36, 1801, 2979, 31, 7317, 2793, 2431, 330, 324, 1044, 25, 5483, 11659, 2793, 32, 2188, 324, 2234, 32, 4275, 710, 1286, 3490, 284, 665, 894, 81, 3221, 81, 4275, 26, 784, 711, 291, 1795, 280, 1044, 9592, 1656, 2248, 1638, 35, 1638, 37, 8556, 626, 35, 47, 4124, 626, 35, 8556, 626, 36, 47, 4124, 626, 36, 2038, 291, 5881, 291, 2234, 280, 29662, 1241, 14178, 1286, 950, 1795, 1748, 291, 630, 32, 14846, 26, 599, 32, 297, 81, 1327, 1157, 291, 630, 32, 5299, 2009, 324, 1044, 25, 10144, 1048, 544, 1628, 225, 35, 32, 29662, 529, 3474, 1638, 35, 1638, 37, 8556, 626, 35, 47, 4124, 626, 35, 330, 324, 1044, 25, 4124, 626, 36, 47, 4124, 626, 36, 1801, 2793, 529, 626, 36, 82, 308, 966, 225, 36, 711, 529, 626, 37, 82, 438, 646, 312, 2080, 330, 324, 1044, 25, 11447, 32, 2188, 324, 2234, 32, 4275, 710, 1286, 3490, 284, 665, 894, 81, 3221, 81, 363, 81, 8144, 81, 4275, 26, 784, 711, 291, 1795, 280, 1044, 9592, 324, 3335, 2038, 324, 3319, 6512, 324, 3335, 2248, 36, 2038, 324, 3335, 2248, 1638, 35, 1638, 37, 8556, 626, 35, 47, 4124, 626, 35, 8556, 626, 36, 47, 4124, 626, 36, 2038, 324, 3335, 2248, 1638 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 6, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 9, 9, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 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, 4, 4, 6, 6, 8, 8, 12, 12, 10, 9, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 8, 8, 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, 8, 8, 11, 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, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 7, 7, 9, 10, 8, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 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, 4, 4, 6, 6, 8, 8, 12, 12, 10, 9, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 8, 8, 11, 11, 11, 11, 11, 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, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 7, 7, 9, 10, 8, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 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 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 2, 3, 3, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 6, 6, 1, 2, 0, 1, 2, 2, 6, 6, 0, 0, 0, 1, 0, 7, 7, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 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, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 0, 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, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 3, 1, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 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, 4, 4, 0, 0, 0, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 1, 1, 0, 2, 3, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 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 ]
[ 465, 2322, 203, 465, 12460, 203, 1070, 485, 23215, 1356, 32, 858, 32, 864, 8791, 81, 2304, 32, 2304, 1188, 5742, 81, 2602, 81, 17154, 203, 2590, 81, 605, 81, 1515, 280, 2322, 32, 12757, 32, 371, 463, 25009, 81, 4601, 81, 20689, 683, 203, 325, 6514, 81, 605, 81, 1515, 438, 1665, 44, 284, 3636, 3268, 463, 6574, 739, 48870, 81, 4601, 81, 20689, 328, 4706, 683, 203, 589, 15570, 81, 35577, 81, 751, 81, 266, 81, 2590, 81, 751, 81, 998, 26, 95, 583, 711, 284, 442, 15570, 81, 266, 81, 2590, 81, 751, 81, 998, 26, 95, 583, 30, 330, 4880, 69, 44, 24931, 1056, 8202, 438, 6153, 683, 203, 589, 15570, 81, 266, 81, 2590, 81, 751, 81, 998, 26, 95, 583, 30, 5257, 711, 284, 12606, 81, 751, 81, 13285, 280, 2322, 32, 983, 32, 2524, 26, 95, 583, 30, 330, 2323, 81, 751, 370, 330, 6813, 1199, 31, 36, 34, 10397, 31, 10397, 31, 8440, 4700, 683, 284, 2276, 280, 12460, 32, 13285, 26, 2323, 81, 751, 81, 13285, 27, 284, 2276, 32, 3323, 346, 284, 415, 646, 2276, 44, 291, 3636, 3268, 463, 2323, 81, 751, 646, 2431, 623, 322, 2412, 5257, 544, 6514, 44, 904, 101, 25, 904, 12606, 81, 751, 81, 13285, 27, 284, 9899, 280, 2156, 26, 2536, 6448, 35, 1130, 284, 1688, 280, 9899, 32, 850, 346, 284, 7022, 280, 225, 34, 284, 436, 1628, 328, 1688, 32, 2998, 4446, 2262, 291, 415, 5257, 328, 1628, 44, 324, 7022, 280, 7022, 474, 225, 35, 284, 442, 7022, 203, 589, 15570, 81, 35577, 81, 751, 81, 266, 81, 8708, 81, 751, 81, 998, 2262, 284, 22466, 81, 3553, 280, 1524, 291, 10246, 2385, 20399, 645, 15570, 81, 21936, 3667, 6813, 81, 751, 81, 8708, 81, 407, 4456, 4998, 1245, 1436, 2124, 6611, 4880, 69, 44, 1312, 864, 4448, 23, 920, 291, 1524, 284, 1056, 280, 5742, 81, 2602, 81, 17154, 463, 2387, 35, 370, 22466, 81, 3553, 27, 284, 442, 1056, 203, 15013, 81, 34478, 81, 3364, 81, 5203, 280, 330, 1625, 7548, 1334, 372, 7520, 6078, 203, 50, 3356, 26, 103, 1330, 292, 2385, 432, 2467, 7548, 8821, 328, 12606, 81, 751, 438, 7107, 683, 203, 589, 9946, 26, 1819, 711, 284, 1619, 32, 2590, 81, 5623, 81, 891, 81, 998, 280, 15570, 81, 266, 81, 2590, 81, 751, 81, 998, 26, 2590, 81, 605, 81, 1515, 30, 41362, 81, 34478, 81, 3364, 81, 5203, 27, 203, 50, 3356, 26, 103, 1330, 292, 2385, 432, 2467, 7548, 8821, 438, 646, 5372, 683, 203, 589, 9946, 26, 1819, 711, 284, 2385, 280, 15570, 81, 266, 81, 2590, 81, 751, 81, 998, 26, 2590, 81, 605, 81, 1515, 30, 41362, 81, 34478, 81, 3364, 81, 5203, 27, 284, 415, 2385, 863, 1619, 32, 2590, 81, 5623, 81, 891, 81, 998, 44, 291, 3636, 3268, 440, 21735, 101, 25, 438, 4204, 3998, 12946, 328, 12606, 81, 751, 1412, 561, 1395, 526, 2126, 15172, 10027, 86, 30, 904, 86, 4731, 904, 308, 15013, 81, 34478, 81, 3364, 81, 5203, 30, 2385, 30, 1619, 32, 2590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 2, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 1, 1, 3, 3, 3, 3, 2, 2, 1, 1, 1, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 5, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 6, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 6, 7, 7, 7, 7, 7, 6, 2, 2, 5, 6, 5, 2, 2, 3, 4, 3, 3, 3, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 9, 7, 2, 2, 4, 4, 6, 8, 7, 9, 7, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 5, 2, 2, 3, 3, 3, 5, 6, 6, 5, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 9, 9, 10, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 8, 8, 8, 6, 7, 7, 6, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 4, 3, 2, 2, 6, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 7, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 4, 3, 2, 2, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 7, 3, 3, 4, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 6, 8, 11, 11, 11, 11, 11, 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, 10, 10, 10, 10, 11, 12 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 4, 4, 4, 4, 1, 6, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 0, 0, 0, 0, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 3, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 4, 4, 0, 0, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 4, 4, 7, 7, 7, 0, 2, 2, 1, 7, 7, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 8, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 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, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 10, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 4, 4, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 5, 2 ]
[ 465, 13092, 203, 1070, 298, 1269, 28784, 833, 352, 32, 15212, 4044, 1188, 29354, 35, 40, 203, 1070, 298, 1269, 28784, 833, 352, 32, 15212, 4044, 32, 4997, 2117, 56, 1188, 4354, 2117, 56, 203, 1070, 298, 1269, 28784, 833, 352, 32, 8774, 1188, 19816, 81, 4554, 203, 1070, 298, 1269, 28784, 833, 352, 32, 410, 11832, 32, 33915, 81, 4836, 3210, 1188, 28008, 81, 4836, 3210, 203, 1070, 298, 1269, 28784, 833, 352, 32, 4266, 1188, 1471, 203, 1070, 298, 1269, 28784, 833, 352, 32, 102, 762, 385, 449, 9229, 32, 68, 2123, 68, 1362, 385, 449, 2265, 1188, 559, 2123, 68, 1362, 385, 449, 2265, 203, 50, 908, 440, 978, 545, 88, 657, 203, 50, 12408, 32, 1826, 32, 28913, 26, 284, 313, 33915, 30, 2488, 81, 12917, 392, 284, 428, 291, 308, 1815, 30, 225, 40, 471, 291, 308, 2700, 30, 225, 40, 471, 284, 2505, 203, 27, 203, 589, 894, 81, 33915, 81, 17857, 81, 101, 2801, 94, 26, 33915, 30, 2488, 81, 12917, 711, 284, 19816, 280, 19816, 81, 4554, 440, 1356, 44, 84, 5190, 81, 1421, 33, 35, 42, 81, 101, 2801, 2106, 81, 16294, 32, 11469, 392, 5099, 81, 681, 347, 1092, 642, 657, 284, 2919, 81, 5321, 280, 301, 291, 313, 24786, 563, 313, 84, 5190, 392, 291, 313, 1449, 81, 34180, 563, 225, 35, 34, 34, 30, 291, 313, 5937, 563, 2933, 30, 291, 313, 16530, 81, 6006, 563, 225, 34, 32, 37, 30, 291, 313, 16530, 81, 1449, 563, 225, 34, 32, 37, 30, 291, 313, 33915, 81, 4836, 3210, 563, 28008, 30, 284, 320, 284, 11648, 81, 5321, 280, 301, 291, 313, 13218, 563, 225, 34, 30, 291, 313, 7740, 563, 225, 35, 30, 291, 313, 11542, 563, 225, 38, 30, 284, 320, 284, 11648, 280, 4354, 2117, 56, 26, 21830, 347, 37, 36, 35, 89, 392, 1115, 10261, 81, 5321, 27, 284, 19816, 32, 470, 81, 30187, 26, 10261, 27, 284, 2919, 280, 559, 2123, 68, 1362, 385, 449, 2265, 26, 12316, 30, 1115, 2215, 81, 5321, 27, 284, 2919, 32, 1945, 346, 284, 1201, 2919, 32, 297, 81, 32620, 3886, 284, 1201, 2919, 32, 1537, 81, 12917, 610, 2488, 81, 12917, 284, 2488, 81, 272, 280, 429, 37, 40, 41, 32, 36, 34, 41, 41, 42, 284, 1201, 2919, 32, 10119, 32, 8870, 610, 13092, 32, 20449, 26, 612, 81, 272, 27, 203, 50, 908, 440, 35466, 35, 40, 657, 203, 50, 12408, 32, 1826, 32, 28913, 26, 284, 313, 33915, 30, 2488, 81, 12917, 392, 284, 428, 291, 308, 1815, 30, 225, 36, 42, 471, 291, 308, 2700, 30, 225, 38, 34, 471, 284, 2505, 203, 27, 203, 589, 894, 81, 33915, 81, 6506, 672, 94, 81, 30149, 26, 33915, 30, 2488, 81, 12917, 711, 284, 19816, 280, 19816, 81, 4554, 440, 1356, 44, 6506, 672, 94, 81, 30149, 81, 4911, 40, 81, 11180, 1441, 81, 292, 91, 32, 11469, 392, 5099, 81, 681, 347, 1092, 642, 657, 284, 11648, 280, 29354, 35, 40, 440, 7453, 40, 392, 18375, 47, 38, 27, 284, 19816, 32, 470, 81, 30187 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 2, 4, 4, 6, 6, 6, 6, 1, 2, 6, 5, 6, 4, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 7, 6, 6, 7, 6, 5, 5, 7, 6, 6, 7, 6, 5, 5, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 2, 2, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 8, 10, 10, 10, 3, 3, 6, 6, 5, 5, 6, 6, 9, 9, 7, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 8, 8, 8, 6, 6, 6, 9, 9, 7, 6, 6, 6, 9, 9, 9, 9, 7, 8, 8, 8, 6, 6, 6, 9, 9, 9, 9, 7, 8, 8, 8, 6, 6, 6, 9, 9, 9, 9, 9, 7, 6, 6, 6, 3, 3, 6, 6, 5, 5, 6, 6, 9, 9, 7, 8, 6, 6, 6, 9, 9, 7, 8, 6, 6, 6, 9, 9, 7, 8, 6, 6, 6, 3, 3, 5, 5, 7, 7, 7, 9, 8, 10, 10, 10, 10, 10, 7, 9, 9, 9, 7, 3, 3, 6, 7, 7, 7, 6, 7, 6, 3, 3, 5, 5, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 9, 9, 9, 7, 3, 3, 6, 7, 6, 3, 3, 4, 5, 6, 6, 6, 6, 3, 3, 4, 6, 7, 7, 7, 5, 5, 6, 6, 3, 3, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 7, 8, 6, 7, 5, 5, 7, 8, 7, 8, 8, 8, 7, 0, 2, 4, 4, 6, 6, 6, 6, 1, 2, 6, 5, 6, 4, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 7, 6, 6, 7, 7, 6, 5, 5, 7, 6, 6, 7, 7, 6, 5, 5, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 2, 2, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 8, 10, 10, 10, 3, 3, 5, 5, 7, 7, 7, 9, 9, 9, 7, 8, 9, 7, 3, 3, 6, 7, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 4, 4, 4, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 1, 2, 5, 5, 0, 6, 6, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 4, 4, 4, 4, 4, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 7, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 3, 1, 3, 3, 1, 3, 3, 3, 3, 3, 3, 1, 1, 7, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 1, 1, 1, 2, 7, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 9, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 11, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 7, 1, 2, 2, 2, 2, 4, 4, 8, 0, 2, 2, 2, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 10, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 8, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 8, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2 ]
[ 109, 203, 38065, 1581, 687, 19, 950, 330, 1173, 370, 203, 38065, 1581, 426, 19, 950, 330, 53, 3690, 6048, 370, 203, 7362, 1877, 20, 438, 600, 5302, 6101, 2124, 313, 1495, 35, 38000, 890, 853, 6945, 2296, 2448, 4881, 1974, 556, 3066, 322, 3276, 432, 312, 13039, 950, 6113, 7975, 32097, 20, 20070, 7542, 3915, 91, 2096, 26809, 14207, 767, 313, 16033, 35, 38000, 96, 644, 81, 19514, 6945, 2296, 3139, 2813, 6860, 272, 4648, 22418, 282, 337, 16511, 21904, 1056, 1966, 409, 707, 13039, 370, 203, 21735, 26, 42274, 27, 101, 9212, 2431, 950, 6611, 26, 42274, 27, 101, 9416, 575, 13612, 84, 1966, 370, 203, 21735, 101, 12846, 109, 2705, 111, 950, 6611, 101, 12846, 109, 966, 9976, 2096, 10047, 203, 21735, 101, 12846, 109, 643, 111, 8128, 950, 6611, 101, 12846, 109, 5039, 83, 111, 12846, 109, 29716, 266, 4223, 10047, 203, 21735, 101, 12846, 109, 643, 111, 4459, 950, 6611, 101, 12846, 109, 5039, 83, 111, 12846, 109, 7975, 22418, 4223, 10047, 203, 21735, 101, 4324, 950, 6611, 101, 12846, 109, 277, 20497, 269, 10047, 203, 21735, 75, 9299, 95, 9299, 86, 950, 6611, 86, 9708, 95, 9708, 75, 370, 203, 21735, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 950, 6611, 86, 9708, 95, 9708, 75, 904, 58, 6069, 63, 6069, 69, 370, 203, 32312, 20282, 2124, 313, 283, 31, 283, 657, 950, 15584, 18310, 312, 313, 83, 782, 17067, 31, 83, 782, 17067, 657, 370, 203, 25, 50, 1826, 887, 78, 106, 34, 35, 1045, 1048, 30695, 30, 4322, 3813, 13068, 904, 101, 3212, 322, 1938, 950, 330, 12575, 14031, 420, 481, 303, 707, 1048, 30, 7065, 1770, 1278, 4452, 3813, 268, 3718, 1582, 1707, 904, 101, 3212, 2317, 298, 6048, 20714, 370, 203, 25, 50, 1826, 887, 78, 106, 34, 35, 1918, 432, 8036, 44, 1115, 23, 101, 326, 950, 313, 18251, 343, 25, 17645, 6923, 44, 1115, 23, 101, 326, 392, 203, 25, 51, 537, 1503, 432, 2676, 36, 978, 438, 3304, 950, 330, 12575, 14031, 7542, 34856, 12438, 91, 2096, 409, 341, 929, 36, 978, 18676, 1478, 370, 203, 25, 51, 537, 1503, 432, 2676, 36, 978, 438, 3304, 44, 904, 101, 950, 330, 12575, 14031, 7542, 34856, 12438, 91, 2096, 409, 341, 929, 36, 978, 18676, 1478, 44, 904, 101, 370, 203, 25, 11936, 950, 330, 69, 906, 268, 370, 203, 25, 7468, 950, 330, 762, 4012, 370, 203, 25, 11936, 3022, 950, 313, 69, 906, 268, 456, 25, 368, 406, 17574, 2096, 392, 203, 25, 2791, 7813, 950, 313, 2422, 343, 25, 6067, 8102, 392, 203, 25, 1103, 950, 330, 51, 1225, 41111, 370, 203, 25, 1103, 9803, 950, 330, 51, 1225, 300, 782, 9416, 268, 370, 203, 25, 12187, 1340, 436, 1370, 3022, 950, 45419, 331, 1323, 1015, 295, 14207, 1292, 312, 2317, 408, 5319, 12503, 17574, 2096, 370, 203, 25, 2300, 6869, 3301, 1289, 5605, 3882, 950, 330, 2300, 328, 90, 5175, 46818, 1292, 32468, 1349, 409, 457, 10725, 272, 9486, 370, 203, 25, 2300, 6869, 3301, 646, 5420, 544, 9270, 1123, 6863, 950, 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 ]
[ 2, 2, 5, 5, 5, 5, 5, 3, 5, 5, 2, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 2, 2, 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, 2, 5, 5, 5, 5, 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, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 3, 5, 5, 5, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 3, 1, 1, 1, 1, 0, 0, 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, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 9, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 15, 15, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 17, 17, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 19, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 21, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 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, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 27, 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, 29, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 31, 0, 1, 2, 0, 1, 1, 2, 33, 0, 1, 2, 1, 1, 1, 1, 1, 2, 35, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 37, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 39, 39, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 43, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 45, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 638, 3164, 81, 12168, 3742, 81, 14663, 1188, 6687, 18309, 3742, 11208, 203, 1070, 638, 3164, 81, 4373, 81, 6332, 81, 14663, 1188, 6687, 5188, 7332, 11208, 203, 1070, 638, 7230, 81, 7986, 81, 4255, 81, 14663, 1188, 18981, 6694, 5454, 11208, 203, 1070, 638, 9458, 81, 4351, 81, 23369, 81, 2116, 9419, 81, 14663, 1188, 20351, 3572, 28737, 4360, 9419, 11208, 203, 1070, 638, 9458, 81, 4351, 81, 23369, 81, 10356, 2052, 81, 14663, 1188, 20351, 3572, 28737, 11101, 2052, 11208, 203, 1070, 638, 9458, 81, 4351, 81, 11881, 29458, 81, 14663, 1188, 20351, 3572, 16907, 29458, 11208, 203, 1070, 638, 9458, 81, 4351, 81, 2122, 81, 13889, 81, 14663, 1188, 20351, 3572, 1183, 17162, 11208, 203, 1070, 638, 944, 81, 9922, 38387, 81, 14663, 1188, 6830, 10346, 38387, 11208, 203, 1070, 638, 944, 81, 30626, 81, 7878, 81, 2468, 81, 38987, 81, 14663, 1188, 6830, 19127, 10564, 2438, 35204, 11208, 203, 1070, 638, 944, 81, 30626, 81, 12711, 81, 639, 81, 32483, 81, 14663, 1188, 6830, 19127, 21149, 2027, 27023, 11208, 203, 1070, 638, 39980, 81, 17572, 81, 7004, 81, 14663, 1188, 701, 4464, 27624, 9154, 11208, 203, 1070, 638, 944, 81, 30626, 81, 944, 81, 46604, 81, 7004, 81, 14663, 1188, 6830, 19127, 3013, 10346, 18522, 9154, 11208, 203, 1070, 638, 944, 81, 30626, 81, 4573, 81, 11201, 81, 14663, 1188, 6830, 19127, 4711, 12295, 11208, 203, 1070, 638, 944, 81, 30626, 81, 7151, 307, 81, 14663, 1188, 6830, 19127, 9944, 307, 11208, 203, 1070, 638, 4573, 81, 11201, 81, 14663, 1188, 8159, 12295, 11208, 203, 1070, 638, 4573, 81, 3337, 81, 639, 81, 32483, 81, 14663, 1188, 8159, 3041, 2027, 27023, 11208, 203, 1070, 638, 4573, 81, 3337, 81, 944, 81, 9922, 38387, 81, 14663, 1188, 8159, 3041, 3013, 10346, 38387, 11208, 203, 1070, 638, 4573, 81, 4373, 81, 6332, 81, 14663, 1188, 8159, 5188, 7332, 11208, 203, 1070, 638, 4373, 81, 7004, 81, 14663, 1188, 7337, 9154, 11208, 203, 1070, 638, 1536, 81, 4373, 81, 7004, 81, 14663, 1188, 4101, 5188, 9154, 11208, 203, 1070, 638, 4573, 81, 6589, 483, 81, 14663, 1188, 8159, 9417, 483, 11208, 203, 1070, 638, 8771, 81, 5416, 3009, 81, 14663, 1188, 18730, 7058, 3009, 11208, 203, 1070, 638, 3841, 81, 8231, 101, 81, 14663, 1188, 9476, 8536, 101, 11208, 203, 1070, 638, 14663, 1188, 27724, 203, 1070, 638, 923, 81, 639, 81, 15097, 81, 14663, 1188, 5056, 2027, 16817, 11208, 203, 1070, 638, 4351, 81, 9211, 81, 14663, 1188, 7136, 11783, 11208, 203, 1070, 638, 4351, 81, 2029, 81, 7004, 81, 14663, 1188, 7136, 2348, 9154, 11208, 203, 1070, 638, 4351, 81, 11278, 81, 14663, 1188, 7136, 10138, 11208, 203, 1070, 638, 10983, 81, 14663, 1188, 23495, 11208, 203, 1070, 638, 35803, 81, 2122, 81, 508, 32561, 81, 14663, 1188, 551, 6813, 1183, 1233, 32561, 11208, 203, 1070, 638, 352, 8522, 81, 14663, 1188, 6151, 8522, 11208, 203, 1070, 638, 5002, 81, 24770, 81, 14663, 1188, 13662, 32549, 11208, 203, 1070, 638, 19838, 101, 81, 14663, 1188, 3725, 38759, 11208, 203, 1070, 638, 5002, 81, 4573, 81, 10356, 2052, 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, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 10, 10, 0, 0, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, 0, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 13, 13, 0, 0, 0, 0, 0, 14, 14, 0, 0, 0, 0, 0, 14, 14, 0, 0, 0, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 15, 0, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 0, 0, 17, 17, 0, 0, 0, 0, 0, 0, 0, 17, 17, 0, 0, 0, 0, 18, 18, 0, 0, 0, 0, 0, 18, 18, 0, 0, 0, 19, 19, 0, 0, 0, 0, 0, 0, 0, 19, 19, 0, 0, 0, 0, 20, 20, 0, 0, 0, 0, 0, 0, 20, 20, 0, 0, 0, 0, 21, 21, 0, 0, 0, 0, 0, 0, 21, 21, 0, 0, 0, 0, 22, 22, 0, 0, 0, 0, 0, 0, 22, 22, 0, 0, 0, 0, 23, 23, 0, 23, 23, 0, 24, 24, 0, 0, 0, 0, 0, 0, 0, 24, 24, 0, 0, 0, 0, 25, 25, 0, 0, 0, 0, 0, 25, 25, 0, 0, 0, 26, 26, 0, 0, 0, 0, 0, 0, 0, 26, 26, 0, 0, 0, 0, 27, 27, 0, 0, 0, 0, 0, 27, 27, 0, 0, 0, 28, 28, 0, 0, 0, 28, 28, 0, 0, 29, 29, 0, 0, 0, 0, 0, 0, 0, 0, 29, 29, 0, 0, 0, 0, 0, 0, 30, 30, 0, 0, 0, 0, 30, 30, 0, 0, 0, 31, 31, 0, 0, 0, 0, 0, 31, 31, 0, 0, 0, 32, 32, 0, 0, 0, 0, 32, 32, 0, 0, 0, 33, 33, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 787, 1909, 203, 465, 22977, 203, 465, 15798, 203, 1070, 5539, 1188, 1995, 30, 5839, 1515, 203, 4601, 81, 3197, 280, 330, 858, 33, 605, 25, 203, 10840, 81, 3197, 280, 2322, 32, 983, 32, 2524, 26, 4601, 81, 3197, 30, 330, 1131, 683, 203, 11779, 81, 3197, 280, 2322, 32, 983, 32, 2524, 26, 4601, 81, 3197, 30, 330, 2868, 683, 203, 1310, 5931, 81, 3197, 280, 2322, 32, 983, 32, 2524, 26, 4601, 81, 3197, 30, 330, 22390, 683, 203, 589, 5219, 27750, 26, 12420, 711, 284, 442, 2322, 32, 983, 32, 2524, 26, 4601, 81, 3197, 30, 12809, 27, 203, 589, 1509, 1515, 26, 12420, 711, 284, 442, 2322, 32, 983, 32, 2524, 26, 10840, 81, 3197, 30, 12809, 27, 203, 589, 3691, 1515, 26, 12420, 711, 284, 442, 2322, 32, 983, 32, 2524, 26, 11779, 81, 3197, 30, 12809, 27, 203, 589, 22169, 1515, 26, 12420, 711, 284, 442, 2322, 32, 983, 32, 2524, 26, 1310, 5931, 81, 3197, 30, 12809, 27, 203, 823, 2108, 1290, 26, 18986, 32, 7233, 711, 284, 665, 5839, 81, 1515, 26, 784, 30, 4921, 35, 30, 4921, 36, 711, 291, 47086, 280, 5839, 1515, 26, 1515, 35, 30, 4921, 36, 27, 291, 630, 32, 5299, 25619, 47086, 30, 330, 3839, 3178, 44, 301, 34, 16805, 1643, 26, 27726, 2548, 490, 284, 665, 5839, 81, 761, 81, 1515, 26, 784, 30, 4921, 35, 30, 4921, 36, 30, 636, 711, 291, 630, 32, 4903, 81, 761, 26, 500, 32, 983, 32, 2524, 26, 1515, 35, 30, 636, 471, 2322, 32, 983, 32, 2524, 26, 1515, 36, 30, 636, 490, 284, 665, 5839, 81, 761, 26, 784, 30, 636, 35, 30, 636, 36, 711, 291, 623, 2156, 26, 426, 35, 27, 619, 296, 35, 44, 324, 623, 2156, 26, 426, 36, 27, 619, 296, 36, 44, 400, 5430, 35, 30, 5430, 36, 280, 296, 35, 32, 33232, 1026, 296, 36, 32, 33232, 346, 400, 3124, 280, 8930, 34, 111, 461, 301, 35, 111, 3178, 4564, 400, 630, 32, 5299, 26, 4446, 35, 30, 5430, 36, 30, 3124, 32, 1643, 26, 426, 35, 30, 636, 36, 490, 284, 665, 1420, 81, 858, 81, 5538, 81, 1581, 26, 784, 30, 7275, 711, 291, 4921, 35, 280, 22169, 1515, 463, 5538, 7404, 474, 7275, 27, 291, 4921, 36, 280, 3691, 1515, 26, 1581, 27, 291, 630, 32, 5522, 26, 1515, 36, 27, 291, 1779, 280, 6470, 62, 301, 1581, 111, 429, 83, 17988, 429, 98, 11489, 429, 66, 225, 38, 429, 101, 1995, 429, 107, 225, 36, 34, 35, 40, 301, 86, 3188, 2951, 25, 291, 2181, 280, 1779, 32, 1643, 26, 1581, 47, 1581, 30, 343, 47, 1515, 36, 547, 2998, 346, 291, 1995, 32, 1831, 26, 1132, 27, 291, 803, 280, 330, 2951, 25, 291, 630, 32, 4903, 81, 761, 81, 1515, 26, 1515, 35, 30, 4921, 36, 30, 803, 27, 284, 665, 4705, 26, 784, 30, 7112, 711, 291, 630, 32, 44833, 26, 6298, 27, 291, 22977, 32, 2991, 3242, 26, 10840, 81, 3197, 30, 7112, 27, 284, 665, 40688, 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, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 4, 6, 6, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 4, 6, 6, 0, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 4, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 5, 6, 6, 6, 5, 5, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 5, 6, 6, 6, 5, 5, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 5, 6, 6, 6, 5, 5, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 5, 6, 6, 6, 6, 5, 5, 5, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 9, 9, 8, 8, 9, 8, 4, 4, 7, 8, 7, 7, 7, 7, 11, 11, 11, 11, 11, 11, 10, 9, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 11, 10, 11, 9, 10, 9, 10, 10, 9, 9, 9, 7, 10, 11, 9, 10, 9, 10, 10, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 10, 11, 11, 10, 8, 8, 10, 5, 5, 5, 7, 12, 13, 13, 12, 10, 10, 12, 7, 7, 7, 12, 11, 11, 12, 10, 10, 14, 13, 14, 13, 11, 14, 13, 14, 13, 8, 8, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 8, 8, 11, 12, 11, 12, 12, 11, 11, 12, 11, 11, 13, 14, 13, 14, 14, 13, 13, 14, 13, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 8, 8, 11, 11, 9, 9, 8, 4, 4, 7, 6, 6, 8, 8, 9, 8, 4, 4, 7, 8, 7, 8, 8, 7, 4, 4, 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, 4, 4, 6, 6, 10, 11, 10, 12, 11, 12, 10, 10, 11, 12, 12, 10, 9, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 6, 6, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 8, 7, 7, 8, 7, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 8, 7, 4, 4, 7, 8, 8, 7, 8, 8, 8, 7, 7, 7, 2, 2, 3, 4 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 10, 10, 1, 2, 1, 2, 10, 10, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 11, 11, 1, 2, 1, 2, 11, 11, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 13, 13, 1, 2, 0, 1, 2, 2, 13, 13, 0, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 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, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 4, 4, 4, 2, 1, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 2 ]
[ 465, 6436, 619, 2065, 203, 1070, 6436, 32, 4873, 1356, 32, 589, 4873, 1188, 5045, 30, 619, 4873, 203, 1070, 6436, 1188, 319, 203, 505, 1648, 505, 280, 2065, 3667, 1648, 505, 203, 505, 464, 505, 280, 2065, 3667, 464, 505, 31445, 225, 203, 505, 464, 505, 1454, 2107, 6386, 370, 330, 39385, 370, 330, 4315, 1287, 785, 203, 589, 3502, 26, 3229, 30, 9710, 47, 2521, 30, 2532, 1057, 53, 7831, 284, 442, 34593, 3667, 890, 3207, 4873, 30, 6024, 30, 9710, 30, 2532, 47, 1174, 27, 203, 589, 11668, 26, 3229, 30, 9710, 47, 2521, 30, 2532, 1057, 53, 7831, 284, 312, 280, 34593, 3667, 890, 3207, 4873, 30, 6024, 30, 9710, 30, 2532, 47, 1174, 27, 284, 312, 32, 4157, 26, 35, 27, 284, 442, 312, 203, 589, 22483, 26, 3229, 30, 9710, 47, 2521, 30, 2532, 1057, 53, 7831, 284, 312, 280, 34593, 3667, 890, 3207, 4873, 30, 6024, 30, 9710, 30, 2532, 47, 1174, 27, 284, 312, 32, 4157, 26, 34, 27, 284, 442, 312, 203, 589, 10625, 26, 96, 30, 12010, 47, 2521, 711, 284, 312, 280, 1417, 2009, 35, 6155, 96, 40001, 34, 614, 12010, 47, 12010, 27, 284, 323, 280, 3502, 1162, 96, 30, 96, 471, 12010, 47, 12010, 27, 284, 323, 32, 6849, 280, 312, 284, 442, 323, 203, 589, 25397, 26, 96, 30, 63, 47, 2521, 30, 831, 47, 34, 30, 9710, 47, 1808, 711, 284, 442, 619, 4873, 26, 2356, 32, 14748, 26, 96, 30, 63, 30, 93, 30, 12010, 490, 203, 589, 10477, 2740, 1132, 711, 284, 415, 6937, 26, 1132, 77, 34, 614, 8825, 711, 291, 2181, 280, 2181, 77, 34, 79, 284, 442, 619, 4873, 26, 2356, 32, 3855, 32, 6386, 2740, 1132, 490, 203, 589, 10477, 96, 2740, 1132, 711, 284, 415, 6937, 26, 1132, 77, 34, 614, 8825, 711, 291, 2181, 280, 2181, 77, 34, 79, 284, 442, 619, 4873, 26, 2356, 32, 3855, 32, 39385, 2740, 1132, 490, 203, 589, 7081, 1287, 26, 83, 30, 345, 30, 310, 711, 284, 312, 280, 619, 1813, 955, 26, 83, 27, 284, 310, 3534, 280, 312, 32, 29704, 284, 415, 310, 3534, 610, 225, 34, 44, 291, 3218, 2138, 30, 3218, 8221, 280, 308, 35, 30, 35, 27, 284, 4348, 310, 3534, 610, 225, 35, 44, 291, 3218, 2138, 30, 3218, 8221, 280, 308, 35, 30, 312, 32, 3229, 77, 34, 1130, 284, 813, 44, 291, 3218, 2138, 30, 3218, 8221, 280, 312, 32, 3229, 284, 5760, 280, 3218, 2138, 319, 345, 284, 14342, 280, 3218, 8221, 319, 310, 284, 281, 280, 312, 32, 12091, 26, 35, 30, 83, 32, 891, 547, 8101, 26, 95, 30, 225, 34, 547, 12091, 26, 2138, 30, 3218, 8221, 547, 8101, 26, 96, 30, 34, 27, 284, 442, 281, 32, 12091, 26, 2138, 30, 14342, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 1, 1, 2, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 3, 4, 4, 0, 3, 3, 3, 2, 2, 4, 5, 5, 3, 0, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 5, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 2, 3, 5, 5, 1, 1, 3, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 7, 5, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 2, 3, 5, 5, 1, 1, 4, 4, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 7, 8, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 3, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 2, 3, 5, 5, 1, 1, 4, 4, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 7, 8, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 3, 0, 1, 1, 2, 3, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 9, 8, 9, 8, 10, 9, 8, 7, 8, 6, 2, 2, 4, 4, 6, 8, 7, 8, 7, 8, 7, 8, 6, 2, 2, 5, 6, 4, 4, 2, 2, 3, 0, 1, 1, 2, 3, 2, 4, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 5, 5, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 0, 1, 1, 2, 4, 2, 1, 1, 3, 5, 7, 6, 7, 6, 5, 5, 3, 3, 6, 6, 7, 8, 7, 2, 2, 3, 5, 5, 9, 8, 9, 7, 8, 7, 9, 7, 0, 1, 1, 2, 2, 4, 2, 1, 1, 3, 5, 7, 6, 7, 6, 5, 5, 3, 3, 6, 6, 7, 8, 7, 2, 2, 3, 5, 5, 9, 8, 9, 7, 8, 7, 9, 7, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 7, 6, 2, 2, 5, 4, 4, 5, 6, 2, 2, 3, 5, 4, 4, 5, 3, 3, 3, 8, 7, 7, 8, 6, 6, 8, 7, 8, 7, 3, 3, 4, 6, 5, 5, 6, 4, 4, 4, 9, 8, 8, 9, 7, 7, 9, 8, 8, 10, 11, 9, 10, 9, 3, 3, 4, 4, 4, 9, 8, 8, 9, 7, 7, 8, 9, 2, 2, 4, 4, 6, 5, 5, 2, 2, 4, 4, 6, 5, 5, 2, 2, 4, 4, 12, 13, 12, 13, 12, 14, 13, 14, 12, 11, 10, 11, 10, 10, 11, 10, 9, 8, 9, 8, 8, 9, 8, 7, 6, 7, 6, 7, 6, 2, 2, 3, 5, 6, 5, 6, 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, 1, 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, 2, 2, 1, 4, 4, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 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, 2, 2, 1, 2, 2, 1, 1, 2, 0, 6, 6, 2, 1, 2, 2, 3, 2, 2, 2, 5, 1, 2, 6, 6, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 0, 7, 7, 2, 1, 2, 2, 3, 2, 2, 2, 5, 1, 2, 7, 7, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 0, 8, 8, 2, 1, 2, 2, 3, 2, 2, 2, 5, 1, 2, 8, 8, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 0, 9, 9, 2, 1, 2, 0, 3, 2, 2, 9, 9, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 3, 2, 1, 4, 4, 0, 0, 1, 1, 1, 3, 1, 0, 3, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 3, 0, 10, 10, 2, 1, 2, 0, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 10, 10, 0, 0, 1, 0, 0, 2, 1, 1, 1, 3, 1, 5, 1, 7, 1, 0, 11, 11, 2, 1, 2, 11, 11, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 4, 4, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 4, 4, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 13, 13, 1, 2, 1, 2, 2, 2, 2, 2, 13, 13, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 4, 4, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 3, 2, 2, 2, 4, 0, 1, 1, 2, 4, 4, 4, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 3, 2, 3, 2, 2, 5, 5, 5, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 3, 2, 1, 2, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 3, 1, 4, 4, 6, 0, 2, 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 ]
[ 9592, 203, 27104, 272, 2548, 1110, 32, 978, 262, 32443, 312, 7996, 432, 4226, 101, 30, 2032, 17579, 30, 19476, 1996, 2032, 8732, 461, 9823, 447, 7550, 203, 2031, 44, 3701, 429, 90, 30, 429, 11155, 769, 4756, 261, 9194, 458, 6886, 32, 284, 429, 98, 769, 625, 351, 8437, 372, 793, 372, 5008, 372, 4581, 32, 225, 16010, 372, 398, 7649, 3624, 284, 429, 103, 769, 699, 264, 26173, 372, 5008, 372, 4581, 32, 225, 1513, 1919, 740, 101, 372, 398, 7649, 4975, 284, 429, 96, 769, 2035, 351, 11212, 426, 372, 5008, 372, 4581, 32, 16010, 372, 398, 7649, 8472, 284, 429, 105, 769, 2895, 264, 12572, 372, 5008, 372, 4581, 32, 284, 429, 104, 30, 769, 10529, 264, 11600, 9541, 23010, 32, 225, 15450, 5218, 372, 12532, 688, 1098, 1631, 1626, 18335, 688, 3185, 322, 5980, 1110, 1688, 32, 284, 429, 99, 30, 769, 22290, 647, 17616, 4630, 1245, 5218, 32, 225, 1348, 2926, 438, 544, 810, 1244, 32, 203, 9592, 203, 465, 2322, 30, 5237, 30, 16539, 203, 1270, 44, 284, 645, 2919, 2208, 1188, 3659, 30, 3659, 2825, 3701, 645, 485, 23215, 1356, 32, 6813, 2208, 6363, 1188, 13814, 2825, 30, 13814, 14003, 284, 645, 485, 23215, 1356, 32, 7621, 32, 1439, 1188, 21885, 4198, 30, 5718, 30, 3042, 21836, 284, 645, 485, 23215, 1356, 1188, 485, 833, 649, 2613, 284, 645, 485, 23215, 1356, 32, 7621, 1188, 28837, 284, 645, 485, 23215, 1356, 32, 1199, 1188, 3082, 3781, 284, 645, 485, 23215, 1356, 32, 1199, 1188, 15590, 284, 645, 3619, 7817, 1364, 261, 1188, 12606, 2407, 284, 645, 485, 23215, 1356, 1188, 15570, 751, 2264, 284, 645, 485, 23215, 1356, 32, 6813, 14550, 1188, 570, 98, 16435, 284, 645, 622, 4617, 1188, 622, 4617, 203, 7343, 29986, 30, 484, 44, 17946, 5237, 32, 4775, 463, 11394, 1188, 7896, 32, 225, 5294, 1505, 688, 844, 1159, 309, 39664, 9733, 557, 378, 81, 983, 32, 615, 32, 225, 23487, 44, 330, 474, 596, 26, 87, 490, 203, 823, 21314, 1208, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 13547, 280, 1605, 291, 630, 32, 761, 8732, 280, 1605, 284, 665, 1015, 2059, 26, 784, 30, 636, 711, 291, 537, 69, 10235, 280, 4226, 26, 426, 27, 291, 630, 32, 13547, 32, 1689, 26, 890, 69, 10235, 27, 291, 442, 537, 69, 10235, 284, 665, 622, 2059, 26, 784, 30, 636, 711, 291, 436, 2145, 328, 630, 32, 13547, 44, 324, 415, 2145, 32, 426, 610, 636, 44, 400, 442, 2145, 291, 442, 1665, 284, 665, 16735, 21389, 26, 784, 711, 291, 442, 630, 32, 13547, 284, 665, 1015, 974, 1166, 26, 784, 30, 803, 1166, 711, 291, 630, 32, 761, 8732, 32, 1689, 26, 761, 1166, 27, 284, 665, 11345, 26, 784, 711, 291, 1992, 2007, 280, 3330, 291, 436, 5859, 100, 328, 630, 32, 13547, 44, 324, 1992, 2007, 1454, 5859, 100, 32, 3108, 346, 291, 442, 1992, 2007, 203, 823, 4226, 44, 284, 665, 1156, 1664, 3207, 784, 30, 636, 711, 291, 630, 32, 426, 280, 636, 291, 630, 32, 18290, 101, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 5, 3, 3, 3, 3, 5, 2, 2, 3, 5, 5, 4, 5, 5, 5, 3, 3, 5, 3, 3, 5, 2, 2, 3, 5, 5, 4, 5, 4, 5, 3, 3, 5, 3, 3, 3, 3, 5, 2, 2, 3, 5, 5, 3, 3, 5, 5, 5, 2, 2, 3, 5, 5, 4, 5, 3, 3, 2, 2, 3, 5, 5, 4, 5, 3, 3, 5, 2, 2, 3, 5, 5, 4, 5, 3, 3, 2, 2, 3, 5, 5, 3, 3, 3, 2, 2, 2, 3, 5, 5, 3, 3, 5, 2, 2, 2, 3, 5, 5, 4, 5, 5, 3, 3, 5, 5, 2, 2, 3, 5, 3, 3, 5, 1, 2, 2, 2, 2, 2, 2, 2, 6, 7, 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, 7, 7, 9, 10, 9, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 4, 4, 8, 9, 7, 8, 7, 8, 8, 8, 7, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 6, 7, 5, 5, 5, 7, 9, 10, 8, 8, 7, 7, 7, 9, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 8, 9, 9, 7, 8, 7, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 6, 6, 4, 4, 5, 6, 5, 5, 6, 7, 5, 5, 5, 9, 8, 8, 11, 10, 11, 10, 4, 4, 5, 6, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6 ]
[ 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, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 4, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 3, 0, 0, 3, 3, 0, 0, 0, 2, 2, 4, 0, 0, 1, 2, 4, 4, 2, 2, 5, 0, 0, 1, 2, 5, 5, 0, 2, 2, 6, 0, 0, 1, 2, 6, 6, 2, 2, 7, 0, 0, 7, 7, 7, 2, 2, 2, 8, 0, 0, 8, 8, 0, 2, 2, 2, 9, 0, 0, 1, 2, 2, 9, 9, 0, 0, 2, 2, 10, 0, 10, 10, 0, 2, 3, 3, 3, 3, 3, 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, 0, 3, 3, 1, 3, 3, 3, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 3, 3, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 3, 3, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 4, 4, 1, 3, 3, 3, 1, 2, 1, 2, 3, 3, 0, 1, 2, 3, 3, 4, 1, 1, 2, 1, 2, 2, 3, 2, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 1, 3, 3, 5, 2, 1, 2, 5, 5, 0, 0, 0, 4, 4, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 4, 4, 2, 1, 0, 4, 4, 4, 4, 4, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0 ]
[ 465, 8783, 32, 20188, 959, 203, 465, 8783, 32, 8466, 2727, 203, 823, 17784, 26, 933, 32, 20188, 959, 32, 982, 19658, 20188, 959, 711, 284, 477, 2433, 284, 665, 1123, 26, 784, 711, 291, 630, 1114, 5898, 34635, 885, 26, 784, 1114, 725, 27, 291, 442, 630, 1114, 725, 32, 853, 284, 477, 2433, 284, 665, 3272, 81, 269, 26, 784, 711, 291, 630, 1114, 5898, 34635, 885, 26, 784, 1114, 4524, 81, 269, 27, 291, 442, 630, 1114, 4524, 81, 269, 32, 853, 284, 477, 2433, 284, 665, 804, 26, 784, 711, 291, 630, 1114, 5898, 34635, 885, 26, 784, 1114, 314, 27, 291, 442, 630, 1114, 314, 32, 853, 284, 477, 2433, 284, 665, 5997, 26, 784, 711, 291, 630, 1114, 5898, 34635, 885, 26, 784, 1114, 5766, 27, 291, 442, 630, 1114, 5766, 32, 853, 284, 477, 2433, 284, 665, 5997, 81, 965, 26, 784, 711, 291, 630, 1114, 5898, 34635, 885, 26, 784, 1114, 5766, 81, 965, 27, 291, 442, 630, 1114, 5766, 81, 965, 32, 853, 284, 477, 2433, 284, 665, 25353, 26, 784, 711, 291, 630, 1114, 5898, 34635, 885, 26, 784, 1114, 25661, 27, 291, 442, 630, 1114, 25661, 32, 853, 284, 477, 2433, 284, 665, 2404, 26, 784, 711, 291, 630, 1114, 5898, 34635, 885, 26, 784, 1114, 1956, 27, 291, 442, 630, 1114, 1956, 32, 853, 284, 477, 2433, 284, 665, 4459, 81, 269, 26, 784, 711, 291, 630, 1114, 5898, 34635, 885, 26, 784, 1114, 6368, 81, 269, 27, 291, 442, 630, 1114, 6368, 81, 269, 32, 853, 284, 477, 2433, 284, 665, 1984, 26, 784, 711, 291, 630, 1114, 5898, 34635, 885, 26, 784, 1114, 965, 27, 291, 442, 630, 1114, 965, 32, 853, 284, 665, 3066, 26, 784, 711, 291, 4826, 30, 706, 280, 630, 1114, 44713, 32, 1357, 2526, 2185, 2140, 26, 324, 313, 6691, 392, 324, 630, 32, 965, 291, 829, 284, 665, 4553, 26, 784, 30, 25353, 47, 933, 32, 20188, 959, 32, 1337, 885, 30, 1015, 81, 25661, 47, 933, 32, 20188, 959, 32, 1337, 885, 30, 3345, 81, 25661, 47, 933, 32, 20188, 959, 32, 1337, 885, 30, 5997, 47, 933, 32, 20188, 959, 32, 1337, 885, 30, 5997, 81, 965, 47, 933, 32, 20188, 959, 32, 1337, 885, 711, 291, 1201, 25353, 438, 8783, 32, 20188, 959, 32, 1337, 885, 556, 1169, 26, 38003, 26, 2543, 30, 308, 466, 30, 15390, 490, 436, 1994, 328, 25353, 471, 25353, 291, 1201, 1015, 81, 25661, 438, 8783, 32, 20188, 959, 32, 1337, 885, 556, 1169, 26, 38003, 26, 2543, 30, 308, 466, 30, 15390, 490, 436, 1994, 328, 1015, 81, 25661, 471, 1015, 81, 25661, 291, 1201, 3345, 81, 25661, 438, 8783, 32, 20188, 959, 32, 1337, 885, 556, 1169, 26, 38003, 26, 2543, 30, 308, 466, 30, 15390, 490, 436, 1994, 328, 3345, 81, 25661, 471, 3345, 81, 25661, 291, 1201, 5997, 438, 8783, 32, 20188, 959, 32, 1337, 885, 556, 6937, 26, 5766, 30, 308, 466, 30, 15390, 3662, 5997, 291, 1201, 5997, 81, 965, 438, 8783, 32, 20188, 959, 32, 1337, 885 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 2, 5, 4, 5, 5, 3, 4, 4, 4, 4, 2, 1, 1, 5, 3, 3, 4, 5, 6, 5, 4, 4, 8, 9, 9, 9, 8, 10, 9, 10, 8, 5, 5, 6, 8, 9, 7, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 8, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 5, 5, 6, 8, 9, 9, 9, 7, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 8, 9, 9, 9, 8, 10, 9, 10, 8, 5, 5, 6, 8, 9, 7, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 8, 9, 9, 9, 8, 10, 9, 10, 8, 5, 5, 6, 8, 9, 7, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 8, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 5, 5, 6, 8, 9, 9, 9, 7, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 8, 9, 9, 9, 8, 10, 9, 10, 8, 5, 5, 6, 8, 9, 7, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 8, 9, 9, 9, 8, 10, 9, 10, 8, 5, 5, 6, 8, 9, 7, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 8, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 5, 5, 6, 8, 9, 9, 9, 7, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 8, 9, 9, 9, 8, 10, 9, 10, 8, 5, 5, 6, 8, 9, 7, 8, 2, 2, 3, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 9, 8, 8, 8, 10, 10, 8, 8, 9, 10, 8, 8, 2, 2, 3, 4, 5, 4, 4, 5, 8, 7, 8, 8, 6, 7, 7, 4, 4, 6, 6, 5, 8, 7, 8, 8, 6, 7, 7, 4, 4, 6, 6, 5, 8, 7, 8, 8, 6, 7, 7, 4, 4, 5, 8, 7, 8, 8, 6, 7, 7, 4, 4, 6, 6, 5, 8, 7, 8, 8, 6, 7, 7, 4, 3, 3, 5, 7, 7, 9, 10, 10, 8, 9, 9, 6, 6, 8, 10, 10, 11, 10, 10, 12, 11, 11, 11, 8, 9, 9, 9, 8, 5, 4, 4, 5, 8, 8, 7, 7, 9, 10, 10, 8, 9, 9, 6, 6, 8, 10, 10, 11, 10, 10, 12, 11, 11, 11, 8, 9, 9, 9, 10, 10, 8, 5, 6, 6, 4, 4, 5, 8, 8, 7, 7, 9, 10, 10, 8, 9, 9, 6, 6, 8, 10, 10, 11, 10, 10, 12, 11, 11, 11, 8, 9, 9, 9, 10, 10, 8, 5, 6, 6, 4, 4, 5, 7, 7, 9, 10, 10, 8, 9, 9, 6, 6, 8, 9, 8, 8, 10, 9, 9, 9, 5, 4, 4, 5, 8, 8, 7, 7, 9, 10, 10, 8, 9, 9 ]
[ 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 0, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 1, 0, 2, 2, 2, 1, 2, 4, 4, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 0, 2, 1, 2, 4, 4, 1, 3, 3, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 0, 2, 1, 2, 4, 4, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 1, 0, 2, 2, 2, 1, 2, 4, 4, 1, 5, 5, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 0, 2, 1, 2, 4, 4, 1, 6, 6, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 0, 2, 1, 2, 4, 4, 1, 7, 7, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 1, 0, 2, 2, 2, 1, 2, 4, 4, 1, 8, 8, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 0, 2, 1, 2, 4, 4, 9, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 4, 4, 10, 2, 1, 2, 2, 3, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 7, 0, 0, 2, 2, 2, 2, 2, 2, 2, 9, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 11, 0, 0, 2, 2, 2, 2, 2, 2, 10, 10, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 1, 0, 4, 4, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 1, 3, 3, 4, 4, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 4, 4, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 ]
[ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 ]
[ 9592, 203, 10067, 26155, 21850, 5852, 436, 13178, 461, 4483, 372, 10701, 38, 802, 15312, 1259, 688, 203, 31181, 883, 526, 27704, 973, 810, 10701, 456, 19616, 427, 32, 203, 9592, 203, 1070, 16539, 1188, 447, 1676, 30, 21925, 1304, 203, 465, 12460, 203, 465, 4134, 203, 465, 2322, 203, 465, 5237, 203, 4241, 81, 10509, 347, 12561, 33, 85, 13669, 8352, 32, 3766, 20, 203, 13073, 11414, 1010, 785, 203, 589, 3185, 81, 843, 26, 878, 711, 284, 5218, 280, 1605, 284, 3124, 314, 280, 1605, 284, 3124, 466, 280, 1605, 284, 328, 81, 31281, 280, 3177, 284, 328, 81, 36514, 280, 3177, 284, 436, 1628, 328, 1344, 32, 2998, 9442, 96, 7831, 291, 1628, 280, 1628, 32, 38848, 9442, 100, 683, 291, 415, 1628, 32, 15990, 463, 31281, 330, 711, 324, 415, 328, 81, 36514, 44, 400, 5218, 32, 1689, 1162, 31281, 30, 3124, 466, 490, 400, 328, 81, 36514, 280, 3177, 324, 328, 81, 31281, 280, 2933, 324, 3124, 314, 280, 428, 928, 77, 40, 46017, 291, 4348, 1628, 32, 15990, 463, 36514, 330, 711, 324, 328, 81, 31281, 280, 3177, 324, 328, 81, 36514, 280, 2933, 324, 3124, 466, 280, 428, 928, 77, 41, 46017, 291, 4348, 1628, 32, 15990, 33103, 7831, 324, 415, 328, 81, 31281, 44, 400, 3124, 314, 32, 1689, 26, 928, 27, 324, 415, 328, 81, 36514, 44, 400, 3124, 466, 32, 1689, 26, 928, 27, 284, 415, 328, 81, 36514, 44, 291, 5218, 32, 1689, 1162, 31281, 30, 3124, 466, 490, 284, 442, 5218, 203, 2536, 280, 5237, 32, 6118, 77, 35, 10056, 203, 74, 2788, 6016, 47, 500, 32, 23407, 463, 74, 2788, 6016, 370, 330, 106, 33170, 683, 203, 2661, 280, 447, 1676, 2009, 74, 2788, 6016, 1947, 287, 2024, 6593, 27808, 96, 1195, 287, 7317, 11645, 785, 474, 2276, 30, 12532, 47, 18165, 27, 203, 26, 541, 30, 1137, 27, 280, 2838, 32, 508, 48275, 346, 203, 6286, 280, 3185, 81, 843, 26, 541, 27, 203, 88, 280, 2156, 26, 4241, 81, 10509, 30, 330, 105, 683, 203, 88, 32, 1821, 27265, 203, 21, 1017, 333, 9071, 4455, 48, 203, 306, 42731, 4723, 810, 6571, 81, 8352, 32, 978, 203, 21, 4713, 1156, 38607, 505, 203, 21, 1234, 6407, 9208, 1156, 4890, 22910, 12085, 490, 203, 21, 1824, 203, 21, 1234, 6407, 9208, 203, 21, 2070, 203, 41135, 203, 88, 32, 1821, 463, 1574, 660, 1351, 6407, 9208, 319, 85, 13669, 81, 8352, 1178, 280, 6913, 96, 683, 203, 6286, 32, 3323, 26, 678, 47, 2989, 32, 1094, 18241, 26, 34, 490, 203, 979, 308, 31281, 30, 3124, 466, 27, 328, 5218, 44, 284, 415, 3124, 314, 863, 29420, 44, 291, 296, 32, 1821, 463, 19260, 81, 41770, 1757, 81, 2576, 1952, 440, 85, 13669, 31, 1262, 392, 904, 101, 471, 78, 96, 25, 904, 2726, 78, 96, 2473, 2524, 26, 31281, 2610, 203, 88, 32, 1821, 463, 1255, 78, 96, 683, 203, 88, 32, 2679, 346, 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, 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 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 3, 3, 3, 5, 6, 5, 8, 7, 3, 3, 6, 6, 8, 9, 8, 11, 10, 4, 4, 5, 7, 8, 7, 9, 9, 7, 5, 5, 7, 8, 8, 7, 7, 7, 11, 12, 11, 13, 12, 12, 13, 12, 8, 8, 11, 11, 10, 10, 6, 6, 9, 9, 8, 8, 6, 6, 9, 8, 8, 11, 10, 12, 11, 5, 5, 6, 8, 9, 8, 10, 10, 8, 6, 6, 10, 10, 9, 9, 7, 7, 10, 10, 9, 9, 7, 7, 10, 9, 9, 12, 11, 13, 12, 5, 5, 6, 8, 9, 8, 10, 6, 6, 8, 9, 9, 8, 8, 8, 13, 12, 13, 12, 13, 12, 7, 7, 8, 9, 9, 8, 8, 8, 13, 12, 13, 12, 13, 12, 2, 2, 3, 4, 4, 3, 3, 3, 7, 8, 7, 9, 8, 8, 9, 8, 2, 2, 3, 0, 3, 2, 2, 4, 5, 3, 5, 4, 0, 3, 3, 3, 2, 5, 4, 5, 4, 6, 6, 6, 6, 4, 6, 6, 6, 0, 3, 2, 2, 4, 4, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 4, 4, 5, 6, 4, 0, 3, 4, 3, 3, 3, 2, 2, 4, 5, 5, 4, 0, 3, 2, 2, 4, 4, 4, 5, 4, 0, 3, 2, 2, 4, 5, 5, 5, 4, 4, 6, 6, 0, 4, 3, 4, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 0, 4, 3, 4, 3, 5, 4, 7, 6, 7, 7, 6, 7, 6, 0, 1, 1, 3, 2, 2, 3, 2, 1, 1, 1, 1, 1, 3, 5, 4, 4, 3, 3, 3, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 10, 8, 8, 14, 14, 13, 12, 11, 12, 11, 0, 4, 3, 4, 3, 5, 6, 6, 5, 0, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 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, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 5, 5, 5, 0, 2, 1, 0, 2, 5, 5, 0, 0, 0, 2, 1, 0, 2, 5, 5, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 1, 0, 2, 1, 1, 4, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 1, 0, 2, 1, 1, 5, 0, 2, 1, 2, 5, 5, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 4, 4, 6, 1, 1, 6, 6, 6, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 7, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 3, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 18, 18, 1, 1, 1, 3, 1, 18, 18, 18, 18, 18, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 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 ]
[ 1070, 30902, 32, 4266, 1188, 37743, 203, 1070, 4377, 494, 1114, 18972, 1188, 7087, 5863, 1006, 203, 1070, 30902, 32, 407, 32, 11765, 368, 1188, 4336, 368, 81, 1439, 203, 1070, 30902, 32, 494, 1188, 12112, 30, 14091, 30, 8488, 81, 1110, 3351, 203, 1070, 30902, 32, 407, 32, 11765, 368, 1188, 4450, 81, 19115, 203, 1070, 30902, 32, 4266, 32, 3613, 1188, 7502, 203, 1070, 30902, 1188, 892, 30, 4401, 30, 34055, 953, 203, 1070, 30902, 1188, 6325, 203, 1070, 30902, 32, 4266, 32, 3968, 1188, 5548, 30, 7723, 203, 823, 13516, 368, 1006, 26, 18972, 32, 23879, 1006, 711, 284, 477, 17614, 284, 665, 5597, 81, 11278, 26, 6933, 30, 5035, 711, 291, 7087, 5863, 1006, 32, 1234, 81, 11278, 26, 4519, 27, 284, 665, 894, 81, 19115, 81, 97, 36, 95, 81, 1536, 26, 784, 711, 291, 3772, 280, 4336, 368, 81, 1439, 26, 4519, 47, 784, 32, 4519, 27, 291, 3772, 32, 9266, 346, 291, 2680, 280, 3772, 32, 4820, 32, 3707, 291, 8983, 280, 3772, 32, 4820, 32, 15097, 291, 312, 35, 280, 8983, 26, 1935, 81, 2468, 1057, 87, 35, 683, 291, 1044, 35, 280, 2680, 26, 426, 1057, 103, 35, 370, 11019, 81, 4170, 6020, 83, 35, 1130, 291, 1201, 312, 35, 32, 3707, 438, 1044, 35, 284, 665, 894, 81, 19115, 81, 18617, 81, 7106, 81, 97, 36, 95, 26, 784, 711, 291, 3772, 280, 4336, 368, 81, 1439, 26, 4519, 47, 784, 32, 4519, 27, 291, 7018, 280, 12112, 440, 15097, 392, 4491, 81, 823, 47, 470, 27, 291, 443, 2680, 26, 1761, 711, 324, 1156, 34426, 505, 280, 330, 3707, 25, 324, 11019, 81, 4170, 280, 7018, 291, 3772, 32, 9266, 346, 291, 1201, 2680, 32, 15097, 81, 4170, 32, 2433, 438, 7018, 291, 8983, 280, 3772, 32, 4820, 32, 15097, 291, 312, 35, 280, 8983, 26, 1935, 81, 2468, 1057, 87, 35, 683, 291, 1044, 35, 280, 2680, 26, 426, 1057, 103, 35, 370, 11019, 81, 4170, 47, 470, 2009, 83, 35, 5259, 291, 1201, 312, 35, 32, 496, 438, 1044, 35, 284, 665, 894, 81, 19115, 81, 18617, 81, 7106, 81, 95, 36, 97, 26, 784, 711, 291, 3772, 280, 4336, 368, 81, 1439, 26, 4519, 47, 784, 32, 4519, 27, 291, 7018, 280, 12112, 440, 3707, 657, 291, 443, 8983, 26, 1761, 711, 324, 1156, 34426, 505, 280, 330, 15097, 25, 324, 4250, 280, 7018, 291, 3772, 32, 9266, 346, 291, 2680, 280, 3772, 32, 4820, 32, 3707, 291, 1201, 8983, 32, 3707, 32, 2433, 438, 7018, 291, 312, 35, 280, 8983, 26, 1935, 81, 2468, 1057, 87, 35, 683, 291, 1044, 35, 280, 2680, 26, 426, 1057, 103, 35, 370, 2965, 81, 4170, 6020, 83, 35, 1130, 291, 1201, 312, 35, 32, 3707, 438, 1044, 35, 284, 665, 894, 81, 19115, 81, 784, 81, 2233, 2722, 26, 784, 711, 291, 3772, 280, 4336, 368, 81, 1439, 26, 4519, 47, 784, 32, 4519, 27, 291, 3772, 32, 9266, 346, 291, 4004, 280, 3772, 32, 4820, 32, 5459, 291, 310, 35, 280, 4004, 346, 291, 310, 36, 280, 4004, 346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 3, 4, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 9, 9, 8, 9, 9, 9, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 10, 9, 11, 10, 11, 8, 4, 4, 7, 8, 7, 4, 4, 6, 6, 8, 9, 7, 8, 4, 4, 6, 6, 8, 9, 7, 8, 4, 4, 7, 6, 6, 8, 10, 10, 10, 9, 11, 11, 11, 4, 4, 7, 6, 6, 8, 10, 9, 11, 11, 11, 8, 10, 10, 9, 11, 11, 10, 4, 4, 5, 8, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 10, 9, 11, 10, 11, 8, 4, 4, 6, 6, 8, 10, 10, 8, 10, 10, 9, 10, 8, 4, 4, 5, 6, 7, 6, 5, 5, 9, 9, 8, 8, 10, 10, 6, 6, 9, 9, 8, 8, 4, 4, 7, 8, 7, 4, 4, 5, 8, 9, 9, 9, 7, 8, 6, 6, 4, 4, 6, 6, 8, 9, 7, 8, 4, 4, 7, 6, 6, 8, 10, 10, 10, 9, 11, 11, 11, 4, 4, 7, 6, 6, 8, 10, 9, 11, 11, 11, 8, 10, 10, 9, 11, 11, 13, 13, 12, 4, 4, 5, 8, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 10, 9, 11, 10, 11, 8, 4, 4, 6, 6, 8, 10, 10, 4, 4, 5, 6, 7, 6, 5, 5, 9, 9, 8, 8, 10, 10, 6, 6, 8, 8, 4, 4, 7, 8, 7, 4, 4, 6, 6, 8, 9, 7, 8, 4, 4, 5, 8, 9, 7, 8, 6, 6, 4, 4, 7, 6, 6, 8, 10, 10, 10, 9, 11, 11, 11, 4, 4, 7, 6, 6, 8, 10, 9, 11, 11, 11, 8, 10, 10, 9, 11, 11, 10, 4, 4, 5, 8, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 10, 9, 11, 10, 11, 8, 4, 4, 7, 8, 7, 4, 4, 6, 6, 8, 9, 7, 8, 4, 4, 7, 6, 6, 8, 4, 4, 7, 6, 6, 8 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 4, 4, 2, 2, 0, 0, 0, 0, 3, 3, 1, 2, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 7, 7, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 8, 8, 0, 9, 9, 1, 1, 2, 0, 1, 2, 2, 2, 9, 9, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 3, 1, 1, 2, 4, 4, 6, 0, 0, 2, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 0, 1, 1, 2, 1, 0, 0, 3, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 2, 1, 4, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 3, 0, 1, 1, 1, 1, 4, 4, 8, 0, 0, 2, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 0, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 5, 0, 2, 0, 2, 1, 1, 4, 4, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 3, 1, 1, 2, 4, 4, 8, 0, 0, 2, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 0, 1 ]
[ 465, 12460, 203, 465, 5741, 203, 465, 2919, 2208, 203, 465, 2322, 203, 465, 14323, 203, 465, 316, 203, 465, 22977, 203, 465, 7060, 203, 465, 16539, 203, 465, 5237, 203, 465, 29590, 203, 465, 26313, 203, 465, 1133, 203, 465, 27374, 203, 89, 2931, 66, 11519, 280, 1605, 203, 89, 1006, 571, 31683, 280, 301, 334, 330, 24917, 36, 950, 301, 330, 1439, 81, 2243, 4882, 950, 2726, 2861, 1733, 1006, 32, 16365, 2931, 370, 471, 3083, 330, 22296, 81, 4882, 950, 2726, 2027, 4929, 12856, 299, 1006, 32, 4090, 8418, 7935, 3080, 370, 471, 801, 334, 330, 4783, 36, 950, 301, 284, 330, 9873, 81, 4882, 950, 291, 2726, 2595, 2060, 609, 8013, 4470, 32, 468, 8013, 81, 26372, 81, 1843, 81, 4898, 81, 9309, 81, 22765, 370, 276, 330, 2595, 2060, 609, 8013, 4470, 4564, 1802, 330, 468, 8013, 81, 26372, 81, 1843, 81, 7073, 81, 9309, 81, 22765, 370, 276, 330, 2595, 2060, 609, 8013, 4470, 4564, 1802, 330, 468, 8013, 81, 26372, 81, 1843, 81, 9309, 81, 22765, 81, 6158, 81, 4476, 370, 276, 330, 2595, 2060, 609, 8013, 4470, 32, 468, 8013, 81, 26372, 81, 1843, 81, 9309, 81, 22765, 370, 276, 330, 2595, 2060, 609, 8013, 4470, 4564, 1802, 330, 468, 8013, 81, 26372, 81, 1843, 81, 9309, 22765, 6805, 81, 21463, 370, 276, 330, 2595, 2060, 609, 8013, 4470, 32, 468, 8013, 81, 26372, 81, 1843, 81, 9309, 22765, 6805, 370, 276, 330, 2595, 2060, 609, 8013, 4470, 32, 468, 8013, 81, 15657, 81, 2668, 81, 2539, 81, 858, 370, 276, 330, 2595, 2060, 609, 8013, 4470, 4564, 1802, 330, 468, 8013, 81, 15657, 81, 2668, 81, 605, 81, 955, 81, 2668, 370, 276, 330, 2595, 2060, 609, 8013, 4470, 4564, 1802, 330, 468, 8013, 81, 15657, 81, 1055, 81, 6460, 81, 27382, 81, 7711, 370, 276, 330, 2595, 2060, 609, 8013, 4470, 4564, 1802, 330, 468, 8013, 81, 15657, 81, 1055, 81, 6460, 81, 28271, 81, 1793, 81, 2668, 81, 1113, 81, 605, 370, 276, 330, 2595, 2060, 609, 8013, 4470, 4564, 1802, 330, 468, 8013, 81, 15657, 81, 1055, 81, 6460, 81, 424, 6856, 81, 23844, 81, 11374, 81, 7711, 370, 276, 330, 2595, 2060, 609, 8013, 4470, 4564, 1802, 330, 468, 8013, 81, 15657, 81, 1055, 81, 6460, 81, 1793, 81, 575, 1191, 81, 2668, 370, 276, 330, 2595, 2060, 609, 8013, 4470, 32, 468, 8013, 81, 8031, 81, 2668, 81, 1719, 4458, 81, 858, 370, 276, 330, 2595, 2060, 609, 8013, 4470, 32, 468, 8013, 81, 8031, 81, 2668, 81, 32650, 81, 858, 370, 276, 330, 2595, 2060, 609, 8013, 4470, 32, 468, 8013, 81, 8031, 81, 8031, 81, 858, 370, 276, 330, 2595, 2060, 609, 8013, 4470, 32, 468, 8013, 81, 8031, 81, 8031, 81, 6158, 81, 891, 370, 276, 330, 2595, 2060, 609, 8013, 4470, 4564, 1802, 330, 468, 8013, 81, 8031, 81, 28762, 2668, 81, 1574, 81, 8031, 81, 858, 370, 276, 330, 2595, 2060, 609, 8013, 4470, 32, 468, 8013, 81, 8031, 81, 28762, 2668, 81, 858, 370, 471, 284, 330, 16257, 81, 1707, 81, 4882 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 4, 5, 8, 8, 8, 8, 8, 6, 9, 9, 9, 9, 9, 9, 9, 7, 5, 5, 8, 8, 8, 8, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 5, 3, 3, 6, 6, 6, 4, 5, 5, 8, 8, 8, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 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, 9, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 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, 7, 7, 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, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 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, 9, 7, 7, 9, 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, 9, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 5, 5, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 12, 12, 0, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 3, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 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, 9, 9, 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, 2, 2, 2, 1, 1, 1, 1, 1, 1, 15, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 17, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 19, 19, 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, 21, 21, 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, 23, 23, 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, 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, 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, 33, 33, 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, 2, 1, 1, 1, 1, 1 ]
[ 1070, 6765, 17594, 32, 3527, 32, 3435, 81, 3840, 32, 913, 1188, 4085, 10383, 619, 12587, 81, 16799, 203, 1070, 6765, 17594, 32, 3527, 32, 32940, 32, 913, 1188, 4085, 10383, 203, 4396, 665, 894, 81, 15276, 81, 35159, 318, 81, 13204, 26, 31667, 30, 3414, 30, 4705, 81, 32940, 81, 1786, 711, 284, 894, 81, 2929, 81, 314, 280, 28647, 16799, 30, 313, 29820, 81, 2929, 81, 35, 36, 37, 25651, 284, 3298, 81, 8200, 280, 2014, 35741, 32, 8774, 32, 2929, 81, 8200, 32, 4396, 81, 371, 81, 8200, 346, 284, 4422, 81, 8200, 280, 2014, 35741, 32, 8774, 32, 2225, 81, 8200, 32, 4396, 81, 371, 81, 8200, 346, 284, 894, 81, 2929, 280, 3298, 81, 8200, 32, 4396, 81, 371, 81, 271, 81, 1297, 26, 291, 1359, 81, 3038, 81, 314, 47, 3038, 32, 3038, 81, 314, 30, 291, 22959, 47, 858, 81, 2929, 81, 314, 30, 284, 829, 284, 1201, 894, 81, 2929, 438, 646, 1665, 284, 894, 81, 2225, 280, 4422, 81, 8200, 32, 4396, 81, 371, 81, 271, 81, 1297, 26, 291, 12587, 81, 16799, 30, 4085, 10383, 30, 313, 2225, 81, 5665, 81, 314, 81, 35, 36, 37, 392, 3298, 81, 314, 47, 858, 81, 2929, 32, 314, 284, 829, 284, 1201, 894, 81, 2225, 438, 646, 1665, 284, 2014, 4705, 81, 32940, 81, 1786, 346, 284, 3298, 280, 3298, 81, 8200, 32, 4396, 81, 371, 81, 2929, 26, 35089, 47, 858, 81, 2929, 81, 314, 27, 284, 1201, 3298, 438, 646, 1665, 284, 2014, 35741, 32, 1163, 81, 9150, 32, 4396, 81, 36476, 26, 3038, 32, 3038, 81, 314, 27, 284, 4422, 81, 8200, 32, 4396, 81, 2546, 26, 858, 81, 2225, 32, 2225, 81, 314, 27, 284, 2014, 4705, 81, 32940, 81, 1786, 346, 284, 3298, 280, 3298, 81, 8200, 32, 4396, 81, 371, 81, 2929, 26, 35089, 47, 858, 81, 2929, 81, 314, 27, 284, 1201, 3298, 438, 1665, 203, 4396, 665, 894, 81, 20119, 81, 36767, 81, 13204, 26, 284, 35741, 30, 3414, 30, 4705, 81, 32940, 81, 1786, 30, 5167, 81, 3613, 30, 4362, 81, 32940, 1840, 81, 5379, 203, 711, 284, 298, 1909, 1840, 81, 2929, 81, 314, 280, 28647, 16799, 30, 313, 32940, 1840, 81, 314, 25651, 284, 2979, 81, 32940, 1840, 81, 2929, 81, 314, 280, 28647, 16799, 30, 313, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 31, 508, 31, 32940, 725, 31, 4038, 25651, 284, 298, 1909, 81, 1580, 81, 2122, 81, 2929, 81, 314, 280, 28647, 16799, 30, 313, 32940, 32, 7598, 31, 13606, 25651, 284, 3298, 81, 8200, 280, 2014, 35741, 32, 8774, 32, 2929, 81, 8200, 32, 4396, 81, 371, 81, 8200, 346, 284, 4422, 81, 8200, 280, 2014, 35741, 32, 8774, 32, 2225, 81, 8200, 32, 4396, 81, 371, 81, 8200, 346, 284, 298, 1909, 1840, 81, 2929, 280, 3298, 81, 8200, 32, 4396, 81, 371, 81, 271, 81, 1297, 26, 291, 1359, 81, 3038, 81, 314, 47, 3038, 32, 3038, 81, 314, 30, 291, 22959, 47, 32940, 1840, 81, 2929, 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, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 4, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 5, 9, 10, 8, 9, 9, 9, 7, 8, 8, 8, 8, 8, 7, 2, 2, 5, 5, 4, 4, 5, 9, 10, 8, 9, 9, 9, 7, 8, 8, 8, 8, 8, 7, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 6, 6, 6, 7, 8, 8, 8, 8, 8, 6, 6, 6, 2, 2, 3, 5, 5, 4, 4, 4, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 6, 6, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 7, 9, 9, 9, 8, 9, 6, 6, 2, 2, 3, 5, 5, 4, 4, 4, 2, 2, 4, 6, 6, 6, 6, 6, 2, 2, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 6, 8, 7, 8, 8, 8, 8, 8, 6, 2, 2, 3, 4, 4, 4, 2, 2, 4, 7, 8, 8, 8, 6, 7, 7, 7, 6, 8, 7, 8, 8, 8, 6, 2, 2, 6, 6, 5, 6, 6, 6, 5, 7, 7, 7, 6, 7, 7, 7, 5, 2, 2, 4, 6, 6, 6, 6, 6, 2, 2, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 6, 8, 7, 8, 8, 8, 8, 8, 6, 2, 2, 3, 4, 4, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 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, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 5, 9, 10, 8, 9, 9, 9, 7, 8, 8, 8, 8, 8, 7, 2, 2, 5, 5, 4, 4, 5, 9, 10, 8, 9, 9, 9, 7, 8, 8, 8, 8, 8, 7, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 6, 6, 6, 7, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 1, 2, 1, 4, 4, 4, 1, 6, 0, 0, 0, 3, 3, 2, 2, 0, 1, 1, 0, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 3, 3, 3, 5, 5, 5, 5, 3, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 5, 5, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 1, 5, 5, 4, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 7, 0, 0, 0, 2, 2, 1, 1, 5, 5, 6, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 1, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 5, 5, 9, 1, 1, 1, 5, 5, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 5, 5, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 5, 5, 0, 0, 0, 0, 0, 1, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 5, 5, 14, 1, 1, 0, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 3, 3, 7, 7, 3, 3, 9, 9, 9, 9, 9, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 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, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 5, 5, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 2, 2 ]
[ 465, 2322, 203, 1070, 18971, 1188, 24014, 30, 2908, 81, 2387, 30, 1326, 203, 1070, 18971, 1188, 5668, 30, 1984, 81, 979, 30, 14011, 203, 1070, 4549, 1188, 319, 203, 725, 280, 24014, 4064, 426, 8223, 203, 725, 32, 1163, 32, 1070, 81, 1473, 4064, 426, 8223, 203, 725, 32, 1163, 32, 1877, 26, 2665, 26, 284, 5490, 16107, 81, 3307, 1057, 12196, 1202, 370, 284, 9399, 47, 1815, 203, 490, 203, 50, 725, 32, 5553, 81, 1357, 203, 589, 2670, 81, 1357, 2262, 284, 3082, 32, 3517, 346, 203, 50, 725, 32, 5483, 81, 1357, 203, 589, 2685, 81, 1357, 26, 1986, 711, 284, 3082, 32, 2679, 346, 284, 442, 1789, 203, 50, 725, 32, 4351, 3247, 2300, 33, 15074, 683, 203, 589, 2202, 81, 7211, 483, 2262, 284, 6672, 483, 280, 40128, 32, 1613, 81, 464, 346, 284, 442, 2908, 81, 2387, 463, 2300, 81, 15074, 32, 916, 370, 6029, 6672, 483, 47, 7211, 483, 27, 203, 50, 725, 32, 4351, 3247, 2300, 33, 15074, 33, 1877, 14617, 410, 44, 15074, 81, 314, 10154, 2607, 4438, 11414, 2788, 370, 330, 3705, 3490, 203, 589, 1974, 81, 15074, 26, 15074, 81, 314, 711, 284, 415, 1326, 32, 1959, 610, 330, 3705, 950, 291, 20613, 280, 40128, 32, 1877, 81, 4347, 26, 324, 20613, 81, 314, 30, 324, 1326, 32, 599, 710, 426, 2188, 324, 1326, 32, 599, 710, 5702, 785, 291, 829, 291, 415, 20613, 44, 324, 442, 5668, 26, 965, 81, 979, 463, 1071, 81, 7211, 483, 2847, 291, 4348, 20613, 438, 1665, 44, 324, 14011, 440, 16318, 904, 86, 1957, 646, 2307, 20, 904, 20613, 81, 314, 27, 324, 442, 5668, 26, 965, 81, 979, 463, 1071, 81, 7211, 483, 2847, 291, 813, 44, 324, 14011, 440, 1612, 1395, 526, 6679, 2784, 225, 36, 40, 40, 7125, 657, 324, 442, 2908, 81, 2387, 463, 1877, 81, 15074, 32, 916, 370, 9111, 20613, 81, 314, 47, 15074, 81, 314, 27, 284, 813, 44, 291, 1596, 44, 324, 20613, 280, 40128, 32, 371, 26, 16318, 32, 314, 610, 20613, 81, 314, 27, 291, 2940, 40128, 32, 34747, 44, 324, 14011, 440, 16318, 904, 86, 1957, 646, 2307, 20, 904, 20613, 81, 314, 27, 324, 442, 5668, 26, 965, 81, 979, 463, 1071, 81, 7211, 483, 2847, 291, 442, 2908, 81, 2387, 463, 1877, 81, 15074, 32, 916, 370, 7686, 20613, 81, 314, 47, 15074, 81, 314, 27, 203, 50, 725, 32, 4351, 3247, 2300, 33, 15074, 33, 669, 370, 4438, 11414, 2788, 370, 330, 3705, 3490, 203, 589, 1015, 81, 890, 81, 15074, 2262, 284, 415, 1326, 32, 1959, 610, 330, 3705, 950, 291, 415, 1326, 32, 599, 710, 426, 785, 461, 1326, 32, 599, 710, 5702, 12132, 324, 40128, 32, 669, 81, 15074, 26, 1357, 32, 599, 710, 426, 2188, 1891, 1326, 32, 599, 710, 5702, 3490, 324, 442, 5668, 26, 965, 81, 979, 463, 1071, 81, 7211, 483, 2847, 291, 813, 44, 324, 14011, 440, 25893, 3829, 884, 2129, 657, 284, 442, 2908, 81, 2387, 463, 669, 81, 15074, 32, 916, 683, 203, 50, 725, 32, 4351, 3247, 2300 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 3, 2, 2, 4, 5, 5, 0, 5, 4, 5, 3, 4, 4, 4, 3, 4, 4, 0, 5, 4, 5, 3, 4, 3, 5, 5, 5, 5, 7, 7, 7, 6, 8, 8, 8, 5, 5, 6, 7, 5, 5, 0, 2, 4, 3, 4, 4, 4, 1, 2, 2, 3, 3, 3, 2, 2, 6, 7, 6, 0, 2, 4, 3, 4, 4, 4, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 6, 7, 6, 3, 3, 4, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 2, 2, 6, 5, 5, 7, 8, 8, 8, 7, 3, 3, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 8, 7, 8, 8, 6, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 8, 8, 6, 8, 8, 1, 2, 2, 3, 3, 3, 4, 4, 4, 3, 2, 2, 4, 6, 7, 5, 5, 7, 7, 4, 4, 7, 7, 9, 10, 10, 10, 9, 9, 9, 10, 10, 9, 9, 9, 11, 12, 10, 12, 12, 9, 9, 11, 12, 10, 12, 12, 9, 9, 5, 5, 6, 6, 6, 6, 8, 10, 12, 12, 12, 12, 14, 14, 14, 14, 14, 6, 6, 7, 8, 8, 7, 7, 7, 11, 14, 14, 14, 14, 14, 14, 14, 12, 12, 13, 13, 11, 8, 8, 9, 11, 13, 13, 13, 13, 15, 15, 15, 15, 15, 6, 6, 7, 7, 7, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 8, 8, 9, 11, 11, 11, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 12, 13, 13, 13, 11, 4, 4, 5, 5, 5, 7, 7, 7, 10, 10, 12, 13, 12, 15, 14, 15, 13, 13, 14, 14, 12, 7, 7, 8, 9, 10, 8, 8, 8, 12, 15, 15, 15, 15, 15, 15, 15, 13, 13, 14, 14, 12, 9, 9, 10, 12, 14, 14, 14, 14, 16, 16, 16, 16, 16, 6, 6, 7, 9, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 10, 11, 11, 11, 9, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 4, 5, 8, 8, 6, 8, 8, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 4, 6, 7, 5, 5, 7, 7, 4, 4, 6, 9, 10, 8, 10, 10, 7, 7, 9, 10, 8, 10, 10, 6, 6, 10, 11, 11, 11, 10, 13, 12, 13, 11, 13, 13, 10, 10, 12, 13, 11, 13, 13, 7, 7, 8, 10, 12, 12, 12, 12, 14, 14, 14, 14, 14, 6, 6, 7, 7, 7, 11, 13, 13, 13, 13, 13, 3, 3, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 0, 2, 5, 4, 5, 4, 6 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 7, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 8, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 4, 4, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 3, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 2, 1, 2, 10, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 3, 1, 2, 1, 1, 0, 2, 5, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 4, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 3, 1, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 2, 1, 2, 11, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 3, 1, 2, 3, 3, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 638, 1188, 25243, 17696, 6519, 30, 12020, 6899, 10467, 7167, 203, 1070, 4377, 7035, 1188, 46040, 6582, 81, 26052, 203, 1070, 4377, 11452, 1188, 25243, 6720, 924, 30, 25243, 17696, 924, 203, 823, 25243, 558, 6519, 26, 10914, 17696, 6519, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 7787, 280, 739, 346, 291, 630, 32, 452, 81, 426, 280, 2149, 291, 630, 32, 1070, 81, 426, 280, 12020, 6899, 10467, 7167, 346, 291, 436, 10769, 328, 46040, 6582, 81, 26052, 44, 324, 630, 32, 7787, 32, 669, 26, 7035, 32, 426, 27, 324, 630, 32, 452, 81, 426, 77, 7035, 32, 4893, 36, 79, 280, 10769, 32, 426, 324, 630, 32, 1070, 81, 426, 77, 7035, 32, 426, 79, 280, 10769, 32, 4893, 36, 284, 665, 4483, 26, 784, 30, 7377, 36, 711, 291, 415, 7377, 36, 646, 328, 630, 32, 452, 81, 426, 44, 324, 3636, 25243, 6720, 924, 26, 4893, 36, 27, 291, 442, 630, 32, 452, 81, 426, 77, 4893, 36, 79, 284, 665, 10156, 26, 784, 30, 636, 711, 291, 415, 636, 646, 328, 630, 32, 1070, 81, 426, 44, 324, 3636, 25243, 17696, 924, 26, 426, 27, 291, 442, 630, 32, 1070, 81, 426, 77, 426, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 10, 11, 9, 10, 9, 11, 10, 11, 9, 6, 6, 10, 11, 11, 11, 9, 11, 10, 11, 11, 9, 8, 8, 9, 10, 6, 6, 10, 11, 11, 11, 9, 11, 10, 11, 9, 8, 8, 9, 10, 10, 2, 2, 3, 4, 5, 4, 4, 5, 4, 3, 3, 5, 7, 6, 6, 6, 7, 8, 8, 8, 5, 5, 5, 7, 9, 9, 9, 10, 10, 9, 4, 4, 5, 7, 8, 8, 8, 6, 7, 7, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 6, 7, 8, 8, 8, 5, 5, 5, 7, 9, 9, 9, 10, 9, 4, 4, 5, 7, 8, 8, 8, 6, 7, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 1, 0, 1, 2, 1, 5, 5, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 5, 5, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 2, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 18414, 32, 9777, 1188, 11768, 81, 34, 203, 1070, 9296, 16770, 1188, 319, 203, 1070, 9296, 16770, 32, 2755, 1188, 831, 2558, 37, 30, 24773, 7822, 30, 309, 13006, 203, 465, 12500, 32, 17449, 619, 5743, 203, 589, 309, 36149, 405, 650, 26, 7174, 30, 816, 34, 30, 533, 34, 30, 1288, 34, 30, 540, 711, 284, 4842, 280, 2065, 32, 8663, 26, 308, 7174, 32, 3365, 2201, 6894, 34, 14204, 106, 34, 9593, 36, 14541, 7174, 32, 3365, 2201, 6894, 35, 14204, 107, 34, 9593, 36, 14541, 7174, 32, 3365, 2201, 6894, 36, 14204, 108, 34, 9593, 36, 829, 333, 540, 284, 442, 4842, 203, 589, 26926, 19579, 1045, 83, 11591, 26, 106, 30, 533, 30, 1288, 30, 559, 30, 816, 34, 30, 533, 34, 30, 1288, 34, 30, 11768, 35, 30, 11768, 36, 30, 677, 34, 30, 4655, 1057, 2999, 7831, 284, 415, 17327, 2356, 32, 891, 26, 106, 19162, 2356, 32, 891, 26, 107, 19162, 2356, 32, 891, 26, 108, 8531, 291, 1459, 313, 31531, 2432, 1334, 432, 816, 30, 533, 30, 1288, 20, 291, 442, 284, 4406, 280, 816, 32, 3229, 284, 816, 280, 13249, 32, 4765, 4816, 26, 106, 27, 284, 533, 280, 13249, 32, 4765, 4816, 26, 107, 27, 284, 1288, 280, 13249, 32, 4765, 4816, 26, 108, 27, 284, 4842, 280, 2065, 32, 8663, 1162, 106, 31, 106, 34, 9593, 36, 14541, 107, 31, 107, 34, 9593, 36, 14541, 108, 31, 108, 34, 9593, 36, 829, 333, 559, 284, 540, 280, 13249, 32, 4765, 4816, 26, 2356, 32, 8663, 1162, 106, 31, 106, 34, 9593, 36, 14541, 107, 31, 107, 34, 9593, 36, 14541, 108, 31, 108, 34, 9593, 36, 9658, 284, 551, 106, 280, 2065, 32, 9880, 26, 106, 32, 891, 27, 284, 4517, 280, 2065, 32, 9880, 26, 106, 32, 891, 27, 284, 551, 108, 280, 2065, 32, 9880, 26, 106, 32, 891, 27, 284, 15960, 36, 280, 225, 37, 28, 6974, 35, 13824, 6974, 36, 29, 36, 28, 6974, 35, 27, 284, 415, 4655, 438, 330, 2999, 25, 461, 1346, 26, 552, 711, 291, 551, 106, 77, 552, 79, 280, 11768, 36, 28, 58, 34, 8088, 4918, 36, 27, 284, 4348, 308, 4555, 610, 330, 11234, 7831, 291, 551, 106, 77, 552, 79, 280, 11768, 36, 28, 58, 34, 8088, 4918, 36, 7824, 6974, 35, 28, 58, 34, 284, 4517, 77, 552, 79, 280, 225, 34, 32, 284, 551, 108, 77, 552, 79, 280, 225, 34, 32, 284, 15960, 35, 280, 308, 6974, 36, 31, 6974, 35, 25104, 6974, 36, 29, 36, 28, 6974, 35, 27, 284, 415, 308, 4555, 610, 330, 2999, 7831, 291, 551, 106, 77, 112, 552, 79, 280, 11768, 35, 8088, 58, 34, 29, 58, 34, 33, 100, 77, 112, 552, 16934, 39, 8088, 68, 326, 37, 4586, 4918, 35, 8088, 36, 8088, 106, 77, 112, 552, 14204, 106, 34, 9593, 36, 7374, 107, 77, 112, 552, 14204, 107, 34, 9593, 36, 7374, 108, 77, 112, 552, 14204, 108, 34, 9593, 36, 490, 284, 4348, 308, 4555, 610, 330, 11234, 7831, 291, 551, 106, 77, 112, 552 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 7, 8, 7, 7, 15, 14, 15, 15, 13, 14, 13, 13, 13, 11, 11, 9, 15, 14, 15, 15, 13, 14, 13, 13, 13, 11, 11, 8, 14, 13, 14, 14, 12, 13, 12, 12, 12, 10, 10, 7, 5, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 5, 5, 1, 1, 3, 9, 8, 9, 8, 9, 8, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 2, 2, 4, 4, 5, 6, 2, 2, 4, 4, 6, 7, 7, 6, 7, 6, 2, 2, 4, 4, 6, 7, 7, 6, 7, 6, 2, 2, 4, 4, 6, 7, 7, 6, 7, 6, 2, 2, 4, 4, 7, 8, 7, 13, 12, 13, 13, 11, 11, 9, 13, 12, 13, 13, 11, 11, 8, 12, 11, 12, 12, 10, 10, 7, 5, 5, 2, 2, 4, 4, 6, 7, 7, 6, 9, 8, 9, 8, 14, 13, 14, 14, 12, 12, 10, 14, 13, 14, 14, 12, 12, 9, 13, 12, 13, 13, 11, 11, 8, 2, 2, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 4, 4, 7, 6, 7, 7, 5, 8, 8, 7, 9, 8, 9, 9, 6, 2, 2, 3, 5, 5, 7, 7, 4, 4, 6, 7, 6, 3, 3, 8, 7, 8, 7, 6, 6, 9, 8, 9, 9, 7, 9, 9, 8, 3, 3, 4, 7, 6, 6, 8, 8, 4, 4, 9, 8, 9, 8, 7, 7, 11, 10, 11, 11, 9, 11, 11, 10, 10, 10, 9, 10, 10, 2, 2, 5, 6, 5, 4, 4, 5, 5, 2, 2, 6, 5, 6, 5, 4, 4, 5, 5, 2, 2, 5, 4, 4, 8, 8, 7, 8, 8, 6, 8, 8, 7, 9, 8, 9, 9, 6, 2, 2, 3, 6, 5, 5, 7, 7, 3, 3, 8, 7, 8, 9, 7, 6, 6, 8, 7, 10, 10, 9, 14, 14, 13, 16, 15, 16, 17, 15, 15, 12, 15, 14, 15, 13, 12, 12, 10, 15, 14, 19, 18, 19, 20, 18, 18, 18, 16, 16, 13, 18, 17, 18, 19, 17, 17, 17, 15, 15, 12, 17, 16, 17, 18, 16, 16, 16, 14, 14, 11, 3, 3, 4, 7, 6, 6, 8, 8, 4, 4, 9, 8, 9, 10 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 2, 1, 1, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 4, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 4, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 4, 0, 2, 2, 0, 2, 1, 2, 2, 4, 4, 1, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 11, 2, 2, 13, 2, 2, 15, 2, 2, 17, 2, 2, 19, 2, 2, 21, 1, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 4, 4, 11, 0, 0, 1, 2, 1, 1, 1, 1, 1, 11, 11, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 11, 11, 4, 0, 1, 1, 1, 2, 4, 4, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 4, 4, 0, 0, 2, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 4, 4, 15, 0, 1, 1, 1, 2, 15, 15, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 15, 15, 4, 0, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1 ]
[ 465, 5237, 203, 1070, 281, 652, 2338, 1188, 44524, 203, 1070, 8206, 13835, 32, 22402, 1188, 15798, 203, 1070, 8206, 13835, 32, 2958, 1188, 617, 7883, 980, 30, 6886, 30, 10225, 203, 1070, 8206, 13835, 32, 2958, 32, 8795, 1188, 2252, 31016, 30, 2252, 21768, 30, 22227, 3839, 203, 1070, 8206, 13835, 32, 2958, 32, 8795, 1188, 22227, 720, 203, 823, 2523, 615, 3206, 1006, 4232, 26, 681, 711, 284, 665, 1156, 890, 3207, 6933, 30, 636, 30, 26394, 30, 11758, 711, 291, 665, 1930, 1006, 26, 3515, 558, 30, 2075, 22681, 11269, 711, 324, 665, 1420, 1006, 26, 784, 711, 400, 442, 894, 81, 2518, 76, 615, 2447, 26, 784, 30, 4774, 558, 30, 2075, 22681, 11269, 27, 324, 442, 1420, 1006, 291, 415, 330, 5536, 1562, 25, 328, 11758, 44, 324, 436, 4774, 558, 30, 2075, 22681, 11269, 328, 11758, 710, 5536, 1562, 12132, 400, 894, 280, 1930, 1006, 26, 3515, 558, 30, 2075, 22681, 11269, 27, 400, 11758, 710, 858, 81, 2518, 76, 615, 2447, 16436, 474, 4774, 558, 79, 280, 894, 291, 442, 827, 3667, 890, 3207, 6933, 30, 636, 30, 26394, 30, 11758, 27, 203, 823, 2523, 615, 3206, 1006, 13976, 26, 1473, 711, 284, 1156, 2559, 32095, 505, 280, 2523, 615, 3206, 1006, 4232, 203, 589, 894, 81, 2518, 76, 615, 2447, 26, 784, 30, 4774, 558, 30, 2075, 22681, 11269, 711, 284, 43857, 280, 44524, 346, 284, 630, 32, 2675, 26, 8795, 32, 2031, 30, 7610, 7883, 982, 974, 370, 43857, 27, 284, 1596, 44, 291, 337, 280, 10225, 32, 9281, 4277, 26, 2184, 22681, 11269, 45895, 284, 2940, 3268, 30, 484, 44, 291, 3636, 15798, 32, 11393, 1006, 440, 29888, 1330, 1188, 556, 26094, 313, 1378, 313, 2031, 443, 44, 904, 101, 20, 904, 308, 87, 33702, 284, 1596, 44, 291, 337, 32, 2208, 2031, 14141, 392, 7915, 81, 7883, 31, 15825, 392, 313, 25258, 44, 36, 6890, 284, 2940, 29986, 30, 484, 44, 291, 3636, 15798, 32, 11393, 1006, 440, 4196, 924, 8276, 3185, 2031, 2262, 904, 101, 392, 308, 87, 33702, 284, 2940, 1171, 8112, 44, 291, 3097, 3701, 813, 44, 291, 630, 32, 5066, 463, 1598, 8112, 646, 19565, 683, 284, 43857, 32, 14408, 26, 34, 27, 284, 630, 32, 5299, 26, 35, 30, 2069, 26, 46526, 32, 850, 26, 35, 2610, 284, 43857, 32, 14408, 26, 34, 27, 284, 43857, 32, 25432, 346, 284, 415, 19326, 26, 97, 30, 330, 1113, 9770, 7831, 291, 436, 308, 3515, 30, 4504, 30, 4118, 30, 3693, 27, 328, 337, 32, 1113, 9770, 44, 324, 1596, 44, 400, 337, 32, 2208, 2031, 2009, 3515, 30, 4320, 7915, 81, 7883, 31, 15825, 392, 1378, 313, 25258, 44, 37, 6890, 324, 2940, 29986, 30, 484, 44, 400, 3636, 15798, 32, 11393, 1006, 440, 4196, 924, 8276, 3185, 2031, 346, 313, 715, 313, 267, 1361, 2501, 44, 904, 101, 392, 308, 87, 33702, 324, 2940, 1171, 8112, 44, 400, 3097, 4288, 813, 44, 400, 630, 32, 5066, 463, 1598, 8112, 646, 19565, 683, 324, 43857, 32, 14408, 26, 34, 27, 324, 630, 32, 5299, 26, 35, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 7, 7, 6, 6, 7, 7, 6, 5, 5, 7, 8, 8, 9, 8, 7, 7, 9, 11, 11, 11, 11, 11, 11, 12, 11, 11, 12, 11, 11, 12, 12, 11, 6, 6, 7, 8, 4, 4, 5, 8, 8, 8, 6, 6, 5, 5, 5, 7, 9, 8, 8, 9, 9, 7, 7, 8, 10, 10, 10, 7, 7, 10, 10, 12, 12, 13, 13, 12, 12, 13, 13, 12, 8, 8, 11, 14, 14, 14, 14, 14, 14, 14, 12, 12, 13, 11, 10, 10, 4, 4, 5, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 2, 2, 5, 6, 5, 7, 6, 7, 5, 5, 7, 7, 7, 7, 5, 5, 2, 2, 3, 3, 3, 6, 6, 9, 10, 10, 9, 10, 10, 10, 9, 3, 3, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 8, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 9, 9, 11, 10, 2, 2, 3, 3, 3, 7, 8, 8, 7, 10, 8, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 3, 3, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 9, 3, 3, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 2, 2, 5, 6, 5, 6, 5, 2, 2, 5, 6, 5, 6, 5, 5, 7, 10, 9, 10, 9, 10, 9, 2, 2, 5, 6, 5, 6, 5, 2, 2, 5, 6, 5, 2, 2, 3, 5, 6, 5, 5, 7, 7, 7, 3, 3, 5, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 7, 7, 5, 5, 5, 7, 7, 7, 11, 12, 12, 11, 13, 12, 12, 12, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 7, 7, 8, 8, 8, 8, 8, 8, 10, 12, 13, 13, 12, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 15, 15, 12, 14, 13, 7, 7, 8, 9, 8, 8, 8, 7, 7, 8, 8, 8, 12, 13, 12, 14, 14, 14, 14, 14, 6, 6, 9, 10, 9, 10, 9, 6, 6, 9, 10, 9, 10, 9 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 4, 4, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 3, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 4, 4, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 8, 8, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 5, 2, 8, 8, 0, 0, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 3, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 4, 1, 4, 4, 4, 3, 3, 5, 5, 5, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 8, 1, 1, 1, 1, 1, 1, 2, 8, 8, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 4, 1, 4, 4, 4, 0, 0, 5, 5, 5, 0, 2, 1, 1, 1, 1, 1, 2, 5, 5, 0, 2, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1 ]
[ 465, 2322, 203, 465, 5237, 203, 1070, 26313, 1188, 15105, 203, 1070, 7138, 1188, 30784, 203, 1070, 31074, 1188, 8241, 203, 1070, 35094, 1188, 1974, 81, 5098, 203, 1070, 10381, 93, 39583, 32, 605, 25078, 1188, 12932, 7167, 203, 1070, 10381, 93, 39583, 32, 15753, 1188, 3516, 30, 13708, 30, 4448, 11445, 30, 5238, 924, 203, 1070, 10381, 93, 39583, 32, 11452, 1188, 4808, 984, 30, 11540, 21117, 30, 766, 275, 5393, 1337, 12759, 30, 17768, 203, 1070, 638, 8774, 1188, 617, 4045, 4716, 959, 30, 1984, 81, 979, 30, 622, 81, 1306, 22263, 81, 6286, 30, 766, 275, 19142, 81, 10569, 81, 2433, 30, 617, 7986, 81, 1070, 81, 1071, 81, 1298, 30, 2290, 81, 1320, 203, 1070, 638, 1188, 2361, 203, 1070, 638, 34745, 1188, 4448, 30, 5170, 203, 1070, 638, 1163, 1188, 3383, 2212, 30, 3383, 203, 1070, 638, 2095, 1188, 4448, 1222, 30, 1995, 1222, 30, 617, 1290, 9970, 21427, 203, 1070, 638, 19981, 1188, 617, 1357, 81, 2095, 81, 3034, 30, 1326, 30, 3523, 30, 485, 203, 1070, 638, 18780, 1188, 25557, 10755, 3135, 3041, 203, 1070, 638, 1647, 1188, 47051, 81, 297, 81, 1647, 203, 1070, 638, 1433, 27055, 1188, 21249, 299, 60, 17321, 4888, 30, 10572, 30, 766, 275, 617, 1536, 81, 2387, 81, 2095, 81, 10075, 203, 1070, 638, 28771, 1188, 1326, 81, 9771, 30, 1326, 81, 15009, 30, 5424, 81, 1357, 81, 3893, 30, 766, 275, 1326, 81, 519, 6992, 81, 1746, 30, 1123, 1819, 81, 519, 6992, 81, 1746, 203, 1070, 31863, 8524, 1188, 540, 3002, 1125, 30, 802, 81, 2516, 30, 1344, 81, 681, 30, 4991, 81, 2516, 203, 81, 4073, 81, 809, 280, 15105, 346, 203, 589, 617, 2682, 81, 32888, 26, 853, 711, 284, 415, 646, 6937, 26, 853, 30, 30784, 711, 291, 442, 30784, 26, 6360, 47, 853, 27, 284, 442, 786, 203, 589, 4705, 1959, 26, 88, 711, 284, 665, 7767, 81, 1298, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 415, 630, 32, 2811, 461, 630, 1114, 9294, 81, 2232, 81, 1357, 44, 324, 3636, 34835, 463, 51, 4705, 667, 1597, 3823, 2685, 322, 330, 400, 330, 2232, 1326, 1597, 13744, 32, 225, 1348, 13505, 11987, 312, 4835, 330, 400, 330, 266, 322, 3022, 2154, 312, 2297, 1597, 646, 18253, 330, 400, 330, 363, 43547, 556, 1604, 8904, 1597, 3823, 5133, 16145, 5327, 96, 25, 400, 330, 705, 2421, 458, 1930, 3654, 372, 1188, 1169, 1370, 2202, 7896, 30, 330, 400, 330, 4603, 4549, 461, 8989, 5886, 821, 312, 19109, 3668, 330, 400, 330, 5553, 322, 3022, 11187, 35487, 5167, 11834, 291, 442, 296, 26, 784, 30, 319, 1132, 30, 1115, 5321, 27, 284, 442, 1974, 81, 5098, 26, 5098, 81, 1298, 30, 296, 27, 203, 823, 24014, 2176, 4045, 4716, 959, 711, 284, 1326, 81, 823, 280, 4448, 284, 1789, 81, 823, 280, 5170, 284, 1123, 81, 2095, 81, 19981, 81, 823, 280, 617, 1290, 9970, 21427, 284, 665, 617, 371, 81, 1357, 81, 19981, 81, 823, 26, 784, 711, 291, 442, 630, 32, 725, 81, 2095, 81, 19981, 81, 823, 284, 665 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 6, 7, 6, 6, 6, 3, 3, 5, 7, 9, 8, 9, 7, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 7, 8, 6, 6, 7, 8, 8, 8, 8, 8, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 4, 4, 5, 7, 8, 7, 7, 9, 7, 7, 9, 7, 2, 2, 3, 5, 5, 5, 6, 6, 6, 5, 5, 5, 0, 1, 1, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 7, 7, 7, 7, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 0, 0, 6, 6, 0, 0, 1, 2, 2, 6, 6, 0, 0, 7, 7, 0, 0, 1, 2, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 8, 8, 0, 0, 1, 2, 8, 8, 0, 8, 8, 0, 8, 8, 7, 8, 0, 0, 8, 8, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 10, 10, 10, 10, 0, 11, 11, 0, 11, 11, 11, 11, 0, 12, 12, 0, 12, 12, 0, 12, 12, 0, 13, 13, 0, 13, 13, 0, 13, 13, 0, 13, 13, 0, 0, 0, 0, 14, 14, 0, 14, 14, 0, 0, 0, 0, 0, 14, 14, 14, 14, 14, 14, 0, 15, 15, 0, 15, 15, 0, 0, 0, 0, 16, 16, 0, 16, 16, 0, 0, 0, 0, 0, 17, 17, 0, 0, 17, 17, 0, 0, 0, 0, 17, 17, 17, 17, 7, 17, 0, 0, 0, 0, 0, 0, 0, 0, 18, 18, 0, 18, 18, 0, 0, 18, 18, 0, 0, 18, 18, 0, 0, 0, 0, 18, 18, 9, 18, 0, 0, 0, 0, 0, 18, 18, 0, 0, 0, 0, 0, 0, 0, 19, 19, 0, 19, 19, 0, 0, 19, 19, 0, 0, 19, 19, 0, 0, 19, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 21, 21, 1, 1, 1, 2, 1, 2, 21, 21, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 1, 0, 22, 22, 1, 2, 1, 2, 22, 22, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 23, 23, 2, 1, 1, 1, 2, 23, 23, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]
[ 1327, 81, 108, 280, 428, 284, 330, 108, 370, 351, 284, 330, 108, 81, 47364, 370, 10065, 330, 108, 81, 2285, 370, 10065, 330, 108, 81, 4002, 52, 370, 264, 203, 79, 203, 1327, 81, 87, 280, 428, 284, 330, 83, 370, 351, 284, 330, 84, 370, 351, 284, 330, 10753, 370, 27218, 330, 573, 370, 958, 284, 1481, 203, 1327, 81, 9211, 280, 1605, 203, 3181, 1706, 81, 43163, 280, 2107, 103, 370, 330, 89, 370, 330, 100, 370, 330, 91, 370, 330, 108, 785, 203, 979, 14100, 328, 18914, 1706, 81, 43163, 44, 284, 2080, 81, 9211, 32, 1689, 463, 3181, 1706, 5290, 44, 101, 16805, 1643, 26, 11099, 490, 203, 23933, 81, 43163, 280, 2107, 89, 370, 330, 100, 370, 330, 91, 370, 330, 108, 370, 330, 75, 785, 203, 979, 14100, 328, 12039, 81, 43163, 44, 284, 2080, 81, 9211, 32, 1689, 463, 23933, 5290, 44, 101, 16805, 1643, 26, 11099, 490, 203, 14221, 41538, 81, 43163, 280, 2107, 89, 370, 330, 100, 370, 330, 108, 785, 203, 979, 14100, 328, 2279, 15015, 62, 81, 43163, 44, 284, 2080, 81, 9211, 32, 1689, 463, 14221, 41538, 5290, 44, 101, 16805, 1643, 26, 11099, 490, 203, 15923, 635, 8585, 69, 81, 43163, 280, 2107, 89, 1195, 100, 1195, 91, 1195, 108, 1195, 107, 785, 203, 979, 14100, 328, 27266, 635, 8585, 69, 81, 43163, 44, 284, 2080, 81, 9211, 32, 1689, 463, 15923, 31, 635, 8585, 69, 5290, 44, 101, 16805, 1643, 26, 11099, 490, 203, 4130, 70, 81, 43163, 280, 2107, 103, 370, 330, 89, 370, 330, 59, 370, 330, 108, 785, 203, 979, 14100, 328, 9414, 70, 81, 43163, 44, 284, 2080, 81, 9211, 32, 1689, 463, 4130, 70, 81, 56, 6535, 36, 5290, 44, 101, 16805, 1643, 26, 11099, 490, 203, 57, 41785, 81, 43163, 280, 2107, 103, 370, 330, 89, 370, 330, 100, 370, 330, 91, 370, 330, 108, 785, 203, 979, 14100, 328, 570, 41785, 81, 43163, 44, 284, 2080, 81, 9211, 32, 1689, 463, 57, 41785, 81, 69, 5290, 44, 101, 16805, 1643, 26, 11099, 490, 203, 979, 14100, 328, 570, 41785, 81, 43163, 44, 284, 2080, 81, 9211, 32, 1689, 463, 57, 41785, 81, 64, 5290, 44, 101, 16805, 1643, 26, 11099, 490, 203, 3908, 81, 43163, 280, 2107, 103, 370, 330, 89, 1195, 100, 1195, 91, 1195, 108, 785, 203, 979, 14100, 328, 2370, 81, 43163, 44, 284, 2080, 81, 9211, 32, 1689, 463, 3908, 5290, 44, 101, 16805, 1643, 26, 11099, 490, 203, 64, 3900, 59, 81, 43163, 280, 2107, 60, 785, 203, 979, 14100, 328, 489, 3900, 59, 81, 43163, 44, 284, 2080, 81, 9211, 32, 1689, 463, 64, 3900, 59, 5290, 44, 101, 16805, 1643, 26, 11099, 490, 203, 14860, 1296, 84, 81, 43163, 280, 2107, 71, 370, 330, 57, 370, 330, 72, 370, 330, 52, 785, 203, 979, 14100, 328, 47759, 1296, 84, 81, 43163, 44, 284, 2080, 81, 9211, 32, 1689, 463, 14860, 1296, 84, 5290, 44, 101, 16805, 1643, 26, 11099, 490, 203, 14860, 1296, 100, 81, 43163, 280, 2107, 72, 370, 330, 68, 370 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 3, 3, 5, 5, 3, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 3, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 6, 6, 5, 6, 5, 9, 9, 9, 9, 9, 9, 8, 7, 8, 7, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 6, 6, 5, 6, 5, 9, 9, 9, 9, 9, 8, 7, 8, 7, 0, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 6, 6, 5, 6, 5, 9, 9, 9, 9, 9, 9, 8, 7, 8, 7, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 6, 6, 5, 6, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 7, 0, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 6, 6, 5, 6, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 7, 0, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 6, 6, 5, 6, 5, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 7, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 6, 6, 5, 6, 5, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 7, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 6, 6, 5, 6, 5, 9, 9, 9, 9, 9, 8, 7, 8, 7, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 6, 6, 5, 6, 5, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 7, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 6, 6, 5, 6, 5, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 7, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5 ]
[ 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 6, 6, 6, 6, 3, 3, 6, 6, 6, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 8, 8, 8, 8, 3, 3, 3, 3, 8, 8, 8, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 10, 10, 10, 10, 3, 3, 3, 3, 3, 10, 10, 10, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 12, 12, 12, 12, 3, 3, 3, 12, 12, 12, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 14, 14, 14, 14, 3, 3, 3, 14, 14, 14, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 15, 15, 15, 15, 3, 3, 3, 15, 15, 15, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 17, 17, 17, 17, 3, 3, 17, 17, 17, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 19, 19, 19, 19, 3, 3, 3, 3, 19, 19, 19, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 21, 21, 21, 21, 3, 3, 3, 3, 21, 21, 21, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2 ]
[ 465, 2322, 203, 465, 345, 1253, 5567, 32, 2282, 32, 2304, 203, 465, 5741, 203, 465, 12870, 81, 5379, 203, 465, 11685, 203, 465, 3738, 203, 1070, 13625, 1188, 31466, 203, 1070, 19177, 32, 6285, 32, 45256, 1188, 619, 2420, 203, 1070, 17787, 1188, 438, 823, 203, 1070, 30902, 1188, 1487, 81, 3483, 203, 1070, 345, 1253, 5567, 32, 2282, 32, 14806, 1188, 488, 1253, 5567, 984, 203, 1070, 345, 1253, 5567, 32, 2282, 32, 1356, 32, 8774, 1188, 622, 81, 775, 93, 5567, 81, 1163, 81, 983, 203, 1070, 345, 1253, 5567, 32, 2282, 32, 1356, 32, 8774, 1188, 1123, 1163, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 47406, 280, 330, 775, 93, 5567, 32, 3164, 25, 203, 36505, 69, 280, 330, 775, 93, 5567, 32, 3854, 25, 203, 7789, 280, 330, 775, 93, 5567, 32, 2388, 25, 203, 63, 718, 2045, 280, 330, 775, 93, 5567, 32, 3039, 25, 203, 823, 488, 1253, 5567, 11063, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3022, 30, 1359, 711, 291, 1245, 32, 1338, 463, 16608, 488, 1253, 5567, 41219, 683, 291, 630, 32, 3164, 280, 3022, 291, 630, 32, 1163, 280, 1359, 291, 345, 1253, 5567, 32, 2282, 32, 2304, 1114, 7491, 280, 2149, 291, 345, 1253, 5567, 32, 2282, 32, 2304, 1114, 12035, 280, 2149, 16189, 345, 1253, 5567, 32, 2282, 32, 2304, 32, 25505, 280, 2149, 16189, 630, 32, 40657, 280, 2149, 16189, 630, 32, 944, 81, 8478, 346, 291, 630, 32, 944, 81, 15752, 346, 291, 630, 32, 944, 81, 12035, 346, 291, 630, 32, 944, 81, 19005, 346, 291, 630, 32, 944, 81, 3378, 346, 291, 630, 32, 944, 81, 25505, 346, 291, 630, 32, 944, 81, 2388, 346, 284, 665, 1156, 1851, 3207, 784, 30, 16277, 30, 1477, 81, 1986, 711, 291, 630, 32, 3317, 81, 27056, 393, 1961, 101, 26, 12757, 27, 291, 442, 630, 32, 3164, 26, 12757, 30, 1477, 81, 1986, 27, 284, 665, 3909, 81, 27056, 393, 1961, 101, 26, 784, 30, 16277, 711, 291, 16277, 710, 20437, 32, 8200, 5695, 3317, 26, 775, 93, 5567, 32, 46674, 32, 1356, 32, 2304, 32, 27056, 393, 1961, 101, 30, 301, 324, 330, 267, 1676, 950, 5518, 324, 330, 267, 2679, 950, 5518, 324, 330, 41824, 950, 5518, 324, 330, 41824, 1744, 950, 5518, 324, 330, 267, 10089, 1744, 950, 5518, 324, 330, 267, 1436, 1744, 950, 31466, 26, 668, 27, 16189, 1790, 284, 665, 2454, 81, 8478, 26, 784, 711, 291, 436, 1123, 81, 3038, 328, 12870, 81, 5379, 32, 1731, 81, 3038, 81, 3953, 26, 47406, 711, 324, 415, 1123, 81, 3038, 32, 426, 328, 345, 1253, 5567, 32, 2282, 32, 2304, 1114, 7491, 44, 400, 3636, 488, 1253, 5567, 984, 463, 18017, 3022, 636, 44, 904, 101, 25, 904, 8479, 1123, 81, 3038, 32, 426, 27, 324, 1123, 81, 983, 280, 1123, 81, 3038, 32, 2452, 32, 2645, 324, 345, 1253, 5567, 32, 2282, 32, 2304, 1114, 7491, 77, 725, 81, 3038, 32, 426, 79, 280, 301, 528, 330, 426, 950, 1123, 81, 3038, 32, 426, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 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, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 10, 10, 9, 10, 8, 9, 7, 8, 6, 6, 4, 4, 10, 10, 9, 10, 8, 9, 7, 8, 6, 6, 4, 4, 10, 10, 9, 10, 8, 9, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 5, 7, 8, 7, 8, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 10, 10, 10, 10, 8, 7, 12, 12, 12, 11, 12, 10, 11, 9, 10, 8, 9, 9, 9, 9, 7, 7, 8, 8, 11, 11, 11, 9, 8, 8, 11, 11, 11, 9, 8, 8, 11, 11, 9, 8, 8, 11, 11, 11, 9, 8, 8, 11, 11, 11, 11, 9, 8, 8, 11, 11, 11, 11, 9, 11, 12, 11, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 5, 5, 8, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 5, 5, 7, 10, 10, 9, 10, 8, 8, 12, 12, 11, 12, 10, 11, 9, 10, 7, 7, 7, 9, 11, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 12, 12, 12, 14, 14, 13, 14, 11, 6, 6, 9, 9, 8, 8, 11, 11, 10, 11, 9, 10, 6, 6, 13, 13, 12, 13, 11, 12, 10, 11, 9, 11, 11, 11, 10, 11, 9, 8, 8, 9, 9, 12, 12, 10, 12, 12, 11, 12, 9 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 0, 2, 2, 0, 3, 3, 0, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 8, 8, 8, 8, 0, 0, 9, 9, 9, 9, 0, 0, 0, 10, 10, 0, 0, 1, 2, 1, 4, 10, 10, 0, 0, 0, 0, 11, 11, 0, 0, 1, 2, 1, 4, 1, 6, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 0, 0, 1, 2, 1, 4, 1, 6, 12, 12, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 18, 18, 1, 1, 1, 2, 1, 2, 18, 18, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 2, 3, 3, 3, 1, 2, 5, 3, 3, 1, 1, 2, 7, 3, 3, 1, 1, 1, 2, 9, 3, 3, 1, 1, 1, 2, 11, 1, 1, 1, 3, 3, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2 ]
[ 465, 2771, 2872, 203, 465, 2322, 203, 465, 5237, 203, 1070, 5034, 32, 1040, 1188, 5742, 203, 24111, 81, 14137, 280, 428, 334, 2322, 32, 983, 32, 2524, 463, 4149, 370, 330, 7128, 370, 330, 4229, 370, 330, 4149, 81, 3164, 32, 90, 1425, 334, 2322, 32, 983, 32, 2524, 463, 4149, 370, 330, 7128, 370, 330, 4229, 370, 330, 4149, 81, 3164, 81, 14388, 32, 90, 1425, 334, 2322, 32, 983, 32, 2524, 463, 4149, 370, 330, 7128, 370, 330, 5379, 370, 330, 4463, 370, 330, 3142, 32, 90, 1425, 334, 2322, 32, 983, 32, 2524, 463, 4149, 370, 330, 7128, 370, 330, 1707, 370, 330, 20964, 83, 370, 330, 4149, 81, 3039, 81, 4627, 32, 90, 1425, 334, 2322, 32, 983, 32, 2524, 463, 4149, 370, 330, 7128, 370, 330, 1707, 370, 330, 20964, 83, 370, 330, 4149, 81, 11251, 81, 1632, 32, 90, 1425, 334, 2322, 32, 983, 32, 2524, 463, 4149, 370, 330, 7128, 370, 330, 1707, 370, 330, 20964, 83, 370, 3083, 330, 11251, 81, 1632, 81, 7543, 81, 39742, 32, 90, 1425, 334, 2322, 32, 983, 32, 2524, 463, 4149, 370, 330, 2282, 370, 330, 1237, 370, 330, 1237, 81, 6286, 32, 90, 1425, 334, 2322, 32, 983, 32, 2524, 463, 4149, 370, 330, 2282, 370, 330, 2282, 81, 1436, 81, 7101, 32, 1152, 1425, 334, 2322, 32, 983, 32, 2524, 463, 4149, 370, 330, 2282, 370, 330, 2282, 81, 1436, 81, 7101, 32, 90, 1425, 334, 2322, 32, 983, 32, 2524, 463, 84, 849, 90, 27069, 370, 330, 7128, 370, 330, 4229, 370, 3083, 330, 839, 107, 81, 18697, 444, 81, 1840, 81, 8078, 81, 1071, 32, 90, 1425, 334, 2322, 32, 983, 32, 2524, 463, 84, 849, 90, 27069, 370, 330, 7128, 370, 330, 4229, 370, 330, 1567, 81, 7147, 299, 81, 3518, 32, 90, 1425, 334, 2322, 32, 983, 32, 2524, 463, 84, 849, 90, 27069, 370, 330, 7128, 370, 330, 4229, 370, 3083, 330, 8856, 81, 2390, 81, 14388, 32, 90, 1425, 334, 2322, 32, 983, 32, 2524, 463, 84, 849, 90, 27069, 370, 330, 7128, 370, 330, 4463, 370, 330, 8856, 81, 44126, 81, 4463, 41, 32, 90, 1425, 334, 2322, 32, 983, 32, 2524, 463, 84, 849, 90, 27069, 370, 330, 7128, 370, 330, 4463, 370, 330, 4463, 37, 36, 81, 10953, 81, 15636, 370, 3083, 330, 2282, 32, 90, 1425, 334, 2322, 32, 983, 32, 2524, 463, 84, 849, 90, 27069, 370, 330, 7128, 370, 330, 4463, 370, 330, 4463, 37, 36, 81, 10953, 81, 15636, 370, 3083, 330, 10953, 81, 8856, 81, 4627, 32, 1152, 1425, 334, 2322, 32, 983, 32, 2524, 463, 84, 849, 90, 27069, 370, 330, 7128, 370, 330, 4463, 370, 330, 4463, 37, 36, 81, 10953, 81, 15636, 370, 3083, 330, 10953, 81, 8856, 81, 4627, 32, 90, 1425, 334, 2322, 32, 983, 32, 2524, 463, 84, 849, 90, 27069, 370, 330, 7128, 370, 330, 4463, 370, 330, 4463, 37, 36, 81, 10953, 81, 15636, 370, 3083, 330, 21423, 32, 90, 1425, 334, 2322, 32, 983, 32, 2524, 463, 84, 849, 90, 27069, 370 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 6, 7, 5, 6, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 3, 3, 6, 7, 5, 6, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 7, 5, 6, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 3, 3, 6, 7, 5, 6, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 7, 5, 6, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 7, 5, 6, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 7, 5, 6, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 3, 3, 6, 7, 5, 6, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 7, 5, 6, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 3, 3, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 3, 3, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2 ]
[ 1070, 1933, 1188, 28667, 203, 1070, 15798, 1188, 4395, 203, 465, 14785, 619, 5239, 203, 589, 894, 81, 4770, 26, 1298, 711, 284, 665, 3420, 81, 5098, 2740, 1132, 711, 291, 623, 5239, 32, 3406, 922, 302, 81, 1536, 2262, 324, 1056, 280, 3420, 2740, 1132, 27, 291, 1459, 463, 4470, 447, 12158, 683, 291, 442, 1056, 284, 442, 3420, 81, 5098, 203, 589, 617, 862, 81, 6800, 81, 3229, 26, 6800, 30, 6024, 30, 2503, 81, 426, 711, 284, 1201, 5239, 32, 862, 81, 6557, 26, 6800, 30, 2069, 26, 3229, 471, 1474, 1057, 2537, 1401, 6643, 11263, 2473, 1643, 26, 2751, 81, 426, 490, 284, 8482, 81, 3229, 280, 8482, 32, 371, 81, 3229, 922, 302, 81, 668, 346, 415, 2069, 26, 3229, 27, 813, 1605, 284, 6643, 81, 11694, 280, 428, 2472, 81, 3534, 436, 16832, 81, 3534, 30, 6674, 81, 3534, 328, 8529, 26, 6800, 81, 3229, 30, 6024, 27, 5556, 415, 6674, 81, 3534, 438, 646, 1665, 461, 16832, 81, 3534, 863, 6674, 81, 3534, 79, 284, 1201, 646, 6643, 81, 11694, 30, 766, 291, 17246, 1401, 6643, 6024, 32, 225, 5422, 19553, 1643, 26, 2751, 81, 426, 30, 8482, 81, 3229, 27, 203, 589, 617, 1553, 81, 1131, 26, 6800, 30, 6024, 30, 2503, 81, 426, 30, 5239, 81, 426, 47, 2521, 711, 284, 1201, 8482, 32, 520, 32, 681, 610, 330, 18390, 370, 766, 291, 17246, 438, 646, 312, 17698, 3740, 25484, 1643, 26, 2751, 81, 426, 27, 284, 617, 862, 81, 6800, 81, 3229, 26, 6800, 30, 6024, 30, 330, 6877, 4237, 683, 284, 415, 5239, 81, 426, 44, 291, 1201, 8482, 32, 426, 610, 5239, 81, 426, 30, 766, 324, 17246, 1401, 6658, 636, 32, 225, 5422, 636, 19553, 1643, 26, 2751, 81, 426, 30, 8482, 32, 426, 27, 203, 823, 394, 317, 3660, 2262, 284, 665, 1156, 1664, 3207, 784, 30, 2297, 30, 41325, 81, 426, 711, 291, 630, 32, 7318, 81, 22765, 280, 28667, 26, 32110, 26, 1647, 30, 41325, 81, 426, 490, 291, 39506, 26, 1647, 30, 41325, 81, 426, 30, 4395, 32, 20229, 3660, 1157, 291, 630, 32, 1647, 280, 2297, 291, 630, 32, 22765, 81, 426, 280, 41325, 81, 426, 284, 665, 1156, 1403, 3207, 784, 711, 291, 442, 18623, 26, 784, 32, 1647, 30, 630, 32, 22765, 81, 426, 27, 284, 665, 1156, 4775, 3207, 784, 30, 827, 30, 786, 30, 27374, 711, 291, 39506, 26, 784, 32, 1647, 30, 630, 32, 22765, 81, 426, 30, 630, 32, 7318, 81, 22765, 27, 203, 50, 858, 81, 4770, 203, 589, 894, 81, 1160, 81, 8075, 26, 1160, 81, 8075, 711, 284, 1778, 81, 1644, 280, 225, 36, 42, 284, 1778, 81, 2273, 280, 225, 36, 42, 284, 1778, 81, 8147, 280, 225, 37, 284, 1288, 81, 3534, 280, 225, 35, 34, 34, 284, 1509, 81, 4543, 30, 1509, 81, 108, 30, 7350, 81, 3306, 280, 1542, 81, 8075, 26, 893, 81, 1644, 30, 1778, 81, 2273, 30, 1778, 81, 8147, 30, 1288, 81, 3534, 27, 284, 617, 1553, 81, 1131, 26, 1131, 81, 4543, 30, 428, 2521, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 6, 4, 3, 3, 5, 11, 12, 11, 10, 10, 10, 9, 5, 5, 8, 8, 10, 12, 10, 4, 4, 7, 9, 9, 9, 9, 4, 4, 5, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 5, 6, 6, 6, 5, 6, 5, 5, 7, 8, 7, 5, 6, 10, 10, 10, 10, 10, 9, 8, 9, 9, 9, 8, 2, 2, 5, 5, 4, 4, 9, 10, 10, 10, 9, 8, 8, 8, 7, 5, 5, 7, 8, 7, 5, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 5, 6, 8, 8, 7, 7, 8, 8, 6, 6, 8, 9, 9, 9, 8, 8, 8, 5, 5, 6, 9, 9, 8, 8, 8, 7, 7, 9, 9, 8, 8, 9, 9, 5, 2, 2, 3, 4, 5, 5, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 6, 5, 6, 6, 6, 5, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 6, 7, 5, 6, 4, 4, 6, 6, 3, 3, 3, 7, 7, 7, 7, 7, 7, 6, 5, 6, 6, 6, 5, 2, 2, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 7, 7, 7, 2, 2, 3, 4, 4, 3, 3, 3, 5, 7, 8, 6, 6, 7, 7, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 8, 8, 7, 7, 8, 9, 7, 0, 1, 1, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 10, 10, 11, 10, 10, 11, 11, 10, 4, 4, 7, 8, 7, 7, 8, 8, 7, 7, 9, 10, 10, 9, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 7, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 9, 8, 9, 7, 7, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 0, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 3, 2, 2, 6, 6, 5, 5, 6, 6, 3, 3, 6, 6, 5, 5, 6, 6, 3, 3, 6, 6, 5, 5, 6, 3, 3, 6, 6, 5, 5, 6, 6, 6, 3, 3, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 5, 5, 7, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 3, 3, 6, 6, 6, 6, 7, 7, 7, 6, 6, 8, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 4, 4, 2, 4, 4, 1, 1, 1, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 4, 4, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 5, 5, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 0, 0, 7, 2, 2, 5, 5, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 6, 6, 1, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 1, 3, 3, 1, 1, 0, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 2, 2, 1, 0, 0, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3 ]
[ 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 823, 2768, 4220, 26, 3378, 32, 1243, 711, 284, 804, 280, 4549, 32, 21541, 1176, 463, 620, 9953, 2484, 370, 7458, 81, 678, 47, 1815, 27, 284, 636, 280, 4549, 32, 16357, 463, 620, 9953, 3270, 370, 1769, 81, 1322, 47, 36, 34, 34, 27, 284, 443, 11985, 44, 291, 1123, 81, 1172, 280, 330, 966, 1262, 25, 284, 665, 1156, 9941, 3207, 784, 711, 291, 442, 630, 32, 426, 203, 823, 2768, 1564, 26, 3378, 32, 1243, 711, 284, 804, 280, 4549, 32, 21541, 1176, 463, 620, 7051, 2484, 370, 7458, 81, 678, 47, 1815, 27, 284, 6215, 280, 4549, 32, 13343, 26, 620, 4220, 30, 5886, 81, 426, 1057, 6332, 683, 284, 636, 280, 4549, 32, 16357, 463, 620, 7051, 3270, 370, 1769, 81, 1322, 47, 36, 34, 34, 27, 284, 443, 11985, 44, 291, 1123, 81, 1172, 280, 330, 966, 1262, 25, 284, 665, 1156, 9941, 3207, 784, 711, 291, 442, 630, 32, 426, 203, 823, 2768, 26, 3378, 32, 1243, 711, 284, 804, 280, 4549, 32, 21541, 1176, 463, 620, 2484, 370, 7458, 81, 678, 47, 1815, 27, 284, 2350, 280, 4549, 32, 13343, 26, 620, 1564, 30, 5886, 81, 426, 1057, 2516, 683, 284, 636, 280, 4549, 32, 16357, 463, 620, 3270, 370, 1769, 81, 1322, 47, 36, 34, 34, 27, 284, 13802, 280, 4549, 32, 21541, 1176, 463, 13133, 683, 284, 477, 2433, 284, 665, 1778, 26, 784, 711, 291, 442, 6611, 101, 33, 620, 9708, 101, 16335, 101, 32, 1645, 25, 904, 308, 32110, 26, 3550, 30, 330, 55, 2478, 81, 59, 9363, 527, 1971, 81, 2413, 370, 330, 641, 555, 893, 32, 87, 587, 11788, 32, 508, 1425, 630, 32, 3174, 30, 18623, 26, 3550, 30, 330, 55, 2478, 81, 59, 9363, 527, 1971, 81, 15630, 8484, 370, 225, 40, 38, 490, 284, 665, 2908, 26, 784, 30, 1334, 711, 291, 415, 1334, 904, 225, 37, 36, 44, 324, 3636, 10091, 463, 1250, 7735, 6945, 102, 312, 4609, 432, 225, 37, 36, 683, 291, 415, 1334, 848, 225, 39, 35, 36, 44, 324, 3636, 10091, 463, 1250, 438, 5133, 7622, 308, 1449, 225, 39, 35, 36, 1082, 19188, 291, 442, 6611, 101, 33, 3121, 9708, 101, 16335, 101, 32, 1645, 25, 904, 308, 32110, 26, 3550, 30, 330, 55, 2478, 81, 59, 9363, 527, 1971, 81, 2413, 370, 330, 641, 555, 893, 32, 87, 587, 11788, 32, 508, 1425, 630, 32, 3174, 30, 1334, 27, 284, 477, 2433, 284, 665, 5414, 81, 668, 26, 784, 711, 291, 442, 10440, 2437, 32, 4890, 32, 2751, 81, 426, 556, 5601, 32, 4890, 32, 426, 30, 5601, 32, 371, 81, 853, 81, 2751, 1157, 436, 5601, 328, 630, 32, 5843, 32, 464, 7662, 284, 443, 11985, 44, 291, 1123, 81, 1172, 280, 330, 966, 1262, 25, 284, 665, 1156, 9941, 3207, 784, 711, 291, 442, 630, 32, 426, 203, 823, 7137, 620, 26, 3378, 32, 1243, 711, 284, 804, 280, 4549, 32, 21541, 1176, 463, 3010, 2484, 370, 7458, 81, 678, 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, 2, 3, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 7, 6, 8, 8, 8, 8, 6, 8, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 7, 6, 8, 8, 8, 8, 6, 8, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 7, 7, 6, 6, 8, 8, 7, 9, 9, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 7, 6, 8, 8, 8, 6, 8, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 7, 7, 6, 6, 8, 8, 7, 9, 9, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 4, 4, 6, 7, 7, 6, 8, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 10, 10, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 8, 9, 10, 8, 8, 10, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 11, 10, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 7, 5, 5, 5, 7, 9, 11, 11, 12, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 6, 7, 7, 7, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 8, 9, 7, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 12, 11, 12, 10, 11, 11, 11, 9, 9, 11, 12, 10, 11, 8, 8, 10, 11, 11, 11, 11, 11, 10, 7, 8, 8, 8, 11, 12, 10, 11, 10, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 7, 6, 8, 8, 8, 6, 8, 8, 7, 8 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 1, 2, 0, 3, 3, 1, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 3, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 3, 3, 3, 3, 0, 0, 0, 0, 1, 1, 2, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 4, 4, 2, 0, 1, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 3, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 2, 4, 4, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 1, 4, 4, 5, 2, 1, 2, 2, 2, 5, 5, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 4, 4, 1, 6, 6, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 4, 4, 7, 7, 7, 7, 0, 0, 0, 0, 1, 1, 2, 4, 4, 8, 1, 1, 1, 2, 8, 8, 0, 1, 2, 0, 5, 5, 1, 2, 0, 1, 2, 2, 5, 5, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 3, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 2322, 203, 465, 6436, 619, 2065, 203, 1070, 14785, 32, 2958, 32, 605, 32, 19561, 32, 4156, 1188, 10032, 81, 4156, 619, 712, 7972, 81, 5162, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 605, 32, 4156, 1188, 10032, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 3878, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 22508, 81, 6800, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 11470, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4886, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 485, 761, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 18578, 81, 9331, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 4257, 424, 619, 4257, 424, 81, 1356, 203, 1070, 14785, 32, 2958, 32, 1040, 1188, 33541, 203, 589, 3345, 81, 25582, 26, 371, 81, 1978, 81, 520, 711, 334, 665, 617, 2546, 81, 7949, 26, 106, 711, 284, 415, 6937, 26, 106, 30, 13714, 32, 7929, 27, 461, 816, 32, 12010, 610, 343, 2516, 32, 7949, 44, 397, 442, 1404, 284, 813, 44, 397, 442, 816, 334, 442, 33541, 32, 1110, 81, 5999, 2176, 2546, 81, 7949, 30, 622, 81, 1978, 81, 520, 27, 203, 823, 19104, 8330, 35506, 26, 858, 32, 7233, 711, 334, 665, 28921, 26, 784, 711, 284, 630, 1114, 2560, 81, 38612, 346, 334, 665, 1420, 81, 1262, 81, 4882, 26, 784, 30, 10180, 81, 3359, 35, 30, 10180, 81, 3359, 36, 30, 1929, 81, 10931, 30, 22508, 81, 34471, 47, 2700, 711, 284, 630, 32, 6967, 81, 12085, 81, 5162, 26, 291, 10180, 81, 3359, 35, 30, 1929, 81, 10931, 30, 22508, 81, 34471, 47, 15378, 81, 34471, 27, 284, 630, 32, 6967, 81, 4938, 81, 3985, 81, 5162, 26, 291, 10180, 81, 3359, 35, 30, 1929, 81, 10931, 30, 22508, 81, 34471, 47, 15378, 81, 34471, 27, 284, 630, 32, 6967, 81, 327, 44532, 81, 5162, 26, 291, 10180, 81, 3359, 35, 30, 1929, 81, 10931, 30, 22508, 81, 34471, 47, 15378, 81, 34471, 27, 284, 630, 32, 6967, 81, 1664, 81, 5553, 81, 11243, 26, 291, 10180, 81, 3359, 35, 30, 1929, 81, 10931, 30, 22508, 81, 34471, 47, 15378, 81, 34471, 27, 284, 630, 32, 6967, 81, 12565, 81, 2969, 101, 26, 291, 10180, 81, 3359, 35, 30, 1929, 81, 10931, 30, 22508, 81, 34471, 47, 15378, 81, 34471, 27, 284, 630, 32, 6967, 81, 4534, 81, 11243, 86, 81, 5162, 26, 291, 10180, 81, 3359, 35, 30, 1929, 81, 10931, 30, 22508, 81, 34471, 47, 15378, 81, 34471, 27, 284, 630, 32, 6967, 81, 11243, 81, 266, 81, 2951, 81, 2255, 26, 291, 10180, 81, 3359, 35, 30, 1929, 81, 10931, 30, 22508, 81, 34471, 47, 15378, 81, 34471, 27, 284, 415, 10180, 81, 3359, 36, 44, 397, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 2, 2, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 8, 8, 9, 10, 8, 6, 6, 8, 9, 7, 7, 9, 8, 9, 5, 5, 5, 7, 5, 5, 6, 6, 6, 8, 2, 2, 3, 5, 6, 6, 6, 5, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 9, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 9, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 9, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 9, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 9, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 9, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 9, 9, 8, 9, 9, 9, 7, 4, 4, 5, 6, 6, 6, 5, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 1, 1, 0, 5, 5, 1, 2, 1, 4, 1, 6, 1, 8, 5, 5, 0, 0, 3, 3, 2, 2, 2, 2, 2, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 0, 14, 14, 1, 2, 1, 4, 14, 14, 0, 15, 15, 1, 2, 1, 4, 15, 15, 0, 0, 0, 16, 16, 1, 2, 1, 4, 16, 16, 0, 3, 3, 2, 2, 2, 0, 17, 17, 1, 2, 1, 4, 17, 17, 0, 18, 18, 1, 1, 2, 1, 1, 1, 1, 1, 2, 18, 18, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 19, 19, 1, 1, 2, 0, 1, 2, 2, 19, 19, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 2, 2, 7, 7, 2, 2, 0, 0, 9, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 7, 1, 1, 1, 7, 7, 7 ]
[ 465, 15798, 203, 465, 5741, 203, 465, 6436, 619, 2065, 203, 465, 485, 299, 83, 32, 14481, 32, 3296, 619, 14720, 203, 823, 2108, 924, 26, 984, 711, 284, 3097, 203, 823, 2108, 17760, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 3097, 284, 665, 894, 81, 1664, 26, 784, 711, 291, 894, 81, 18931, 280, 14720, 32, 17760, 346, 291, 1201, 6937, 26, 858, 81, 18931, 32, 2500, 30, 5436, 27, 291, 2799, 280, 225, 34, 291, 4648, 280, 2069, 26, 858, 81, 18931, 32, 2500, 27, 291, 1201, 2799, 610, 4648, 291, 2799, 280, 2149, 291, 4648, 280, 894, 81, 18931, 32, 2500, 291, 1201, 2799, 610, 4648, 284, 665, 894, 81, 3815, 81, 4383, 81, 30816, 732, 81, 668, 26, 784, 711, 291, 894, 81, 18931, 280, 14720, 32, 17760, 346, 291, 665, 894, 81, 4383, 81, 1126, 2262, 324, 3097, 291, 894, 81, 18931, 32, 2500, 1365, 858, 81, 426, 1446, 280, 10440, 858, 81, 18931, 30, 23296, 41745, 1481, 291, 2799, 280, 225, 35, 291, 4648, 280, 2069, 26, 858, 81, 18931, 32, 2500, 1365, 858, 81, 426, 6890, 291, 1201, 2799, 610, 4648, 291, 894, 81, 18931, 32, 3815, 81, 4383, 440, 858, 81, 426, 657, 291, 2799, 280, 225, 34, 291, 4648, 280, 2069, 26, 858, 81, 18931, 32, 2500, 1365, 858, 81, 426, 6890, 291, 1201, 2799, 610, 4648, 284, 665, 894, 81, 3815, 81, 4383, 81, 3780, 29801, 81, 426, 26, 784, 711, 291, 894, 81, 18931, 280, 14720, 32, 17760, 346, 291, 1201, 313, 6876, 81, 4383, 81, 678, 20, 646, 328, 894, 81, 18931, 32, 2500, 291, 894, 81, 18931, 32, 3815, 81, 4383, 440, 6876, 81, 4383, 81, 678, 657, 291, 1201, 313, 6876, 81, 4383, 81, 678, 20, 328, 894, 81, 18931, 32, 2500, 291, 1201, 6937, 26, 858, 81, 18931, 32, 2500, 1365, 6876, 81, 4383, 81, 678, 3439, 1149, 27, 291, 2799, 280, 225, 34, 291, 4648, 280, 2069, 26, 858, 81, 18931, 32, 2500, 1365, 6876, 81, 4383, 81, 678, 6890, 291, 1201, 2799, 610, 4648, 284, 665, 894, 81, 4898, 81, 4383, 81, 3780, 29801, 81, 426, 26, 784, 711, 291, 894, 81, 18931, 280, 14720, 32, 17760, 346, 291, 1201, 313, 6876, 81, 4383, 81, 678, 20, 646, 328, 894, 81, 18931, 32, 2500, 291, 894, 81, 18931, 32, 4898, 81, 4383, 440, 6876, 81, 4383, 81, 678, 657, 291, 1201, 313, 6876, 81, 4383, 81, 678, 20, 328, 894, 81, 18931, 32, 2500, 291, 1201, 6937, 26, 858, 81, 18931, 32, 2500, 1365, 6876, 81, 4383, 81, 678, 3439, 1149, 27, 291, 2799, 280, 225, 34, 291, 4648, 280, 2069, 26, 858, 81, 18931, 32, 2500, 1365, 6876, 81, 4383, 81, 678, 6890, 291, 1201, 2799, 610, 4648, 284, 665, 894, 81, 4898, 81, 4383, 81, 22456, 81, 29801, 81, 426, 26, 784, 711, 291, 894, 81, 18931, 280, 14720, 32, 17760, 346, 291, 665, 894, 81, 4383, 81, 1126, 2262, 324, 3097, 291, 894, 81, 18931, 32, 2500, 1365, 858, 81, 426, 1446, 280, 10440, 858, 81, 18931 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 1, 1, 4, 4, 3, 4, 3, 4, 2, 2, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 4, 4, 5, 7, 9, 9, 9, 8, 9, 7, 7, 7, 4, 4, 6, 6, 7, 4, 4, 6, 6, 8, 10, 10, 10, 9, 10, 8, 4, 4, 5, 6, 6, 4, 4, 6, 6, 4, 4, 6, 6, 8, 8, 7, 8, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 9, 9, 8, 9, 7, 9, 9, 9, 9, 6, 6, 9, 9, 9, 8, 8, 8, 7, 4, 4, 6, 6, 7, 4, 4, 6, 6, 8, 11, 11, 11, 10, 11, 9, 11, 11, 11, 11, 4, 4, 5, 6, 6, 4, 4, 8, 8, 7, 8, 8, 8, 7, 9, 9, 9, 9, 4, 4, 6, 6, 7, 4, 4, 6, 6, 8, 11, 11, 11, 10, 11, 9, 11, 11, 11, 11, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 4, 4, 5, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 7, 8, 4, 4, 8, 8, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 4, 4, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 7, 8, 4, 4, 5, 7, 10, 10, 10, 9, 10, 8, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 6, 6, 7, 4, 4, 6, 6, 8, 11, 11, 11, 10, 11, 9, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 4, 4, 5, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 7, 8, 4, 4, 8, 8, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 4, 4, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 7, 8, 4, 4, 5, 7, 10, 10, 10, 9, 10, 8, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 6, 6, 7, 4, 4, 6, 6, 8, 11, 11, 11, 10, 11, 9, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 9, 9, 8, 9, 7, 9, 9, 9, 9, 6, 6, 9, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 0, 0, 2, 0, 4, 1, 1, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 5, 5, 1, 2, 0, 1, 2, 2, 5, 5, 0, 2, 1, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 4, 4, 0, 0, 1, 0, 0, 0, 1, 2, 1, 4, 4, 4, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 7, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 9, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 4, 4, 4, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 2, 4, 4, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 7, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 4, 4, 4, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 2, 4, 4, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 7, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1 ]
[ 465, 6436, 619, 2065, 203, 1070, 3619, 874, 32, 11248, 2739, 32, 1339, 1188, 570, 17368, 81, 605, 30, 21691, 30, 41432, 36898, 6591, 1764, 203, 823, 22344, 267, 4997, 2739, 26, 11248, 2739, 81, 605, 711, 284, 665, 1156, 1664, 3207, 784, 30, 706, 711, 291, 630, 32, 605, 280, 706, 284, 665, 1156, 1657, 3207, 784, 711, 291, 442, 630, 32, 605, 32, 3229, 77, 34, 79, 284, 665, 622, 81, 887, 81, 15034, 26, 784, 711, 291, 442, 1847, 26, 784, 32, 605, 32, 6057, 27, 284, 665, 622, 81, 1449, 81, 15034, 26, 784, 711, 291, 442, 1769, 26, 784, 32, 605, 32, 6057, 27, 284, 665, 622, 81, 1055, 81, 269, 81, 1003, 26, 784, 30, 1133, 711, 291, 1133, 10439, 225, 40, 34, 32, 34, 291, 442, 2065, 32, 626, 887, 26, 2356, 32, 3596, 26, 784, 32, 605, 32, 1055, 429, 1133, 490, 284, 665, 622, 81, 1003, 81, 668, 26, 784, 711, 291, 442, 308, 784, 32, 605, 32, 1055, 319, 225, 40, 34, 32, 34, 547, 25880, 346, 284, 477, 2433, 284, 665, 8971, 81, 668, 26, 784, 711, 291, 442, 630, 1114, 6979, 81, 668, 284, 477, 2433, 284, 665, 617, 6979, 81, 668, 26, 784, 711, 291, 436, 8971, 328, 630, 32, 605, 32, 545, 693, 2262, 324, 6761, 21691, 26, 6979, 32, 106, 32, 25880, 1026, 8971, 32, 360, 96, 32, 25880, 1157, 284, 665, 622, 81, 6979, 81, 668, 26, 784, 711, 291, 442, 1149, 26, 784, 1114, 6979, 81, 668, 27, 284, 665, 622, 81, 31320, 26, 784, 711, 291, 442, 41432, 36898, 6591, 1764, 26, 784, 32, 605, 32, 5707, 922, 2810, 32, 70, 77, 34, 614, 766, 7686, 308, 784, 32, 605, 32, 1055, 319, 225, 40, 34, 32, 34, 547, 25880, 1157, 284, 665, 11760, 26, 784, 30, 4240, 47, 2521, 30, 943, 47, 2521, 711, 291, 415, 4240, 438, 1665, 461, 943, 438, 1665, 44, 324, 442, 291, 415, 4240, 438, 1665, 44, 324, 376, 81, 2875, 280, 225, 34, 291, 4348, 6937, 26, 2409, 30, 629, 711, 324, 376, 81, 2875, 280, 4240, 291, 813, 44, 324, 376, 81, 2875, 280, 630, 32, 371, 81, 1055, 81, 269, 81, 1003, 26, 1808, 26, 2409, 490, 474, 225, 35, 291, 415, 4240, 438, 1665, 44, 324, 931, 81, 2875, 280, 225, 34, 291, 4348, 6937, 26, 416, 30, 629, 711, 324, 931, 81, 2875, 280, 943, 291, 813, 44, 324, 376, 81, 2875, 280, 630, 32, 371, 81, 1055, 81, 269, 81, 1003, 26, 1808, 26, 416, 490, 474, 225, 35, 291, 630, 32, 605, 280, 630, 32, 605, 77, 270, 81, 2875, 44, 272, 81, 2875, 79, 284, 665, 3099, 26, 784, 30, 1459, 81, 6979, 81, 96, 47, 2700, 711, 291, 1459, 440, 2398, 41579, 1133, 2155, 44, 16125, 37, 88, 1847, 769, 16125, 37, 88, 1847, 20, 904, 766, 1090, 308, 887, 26, 784, 32, 605, 32, 1055, 471, 1769, 26, 784, 32, 605, 32, 1055, 2610, 291, 12077, 37062, 280, 2065, 32, 4903, 26, 784, 32, 605, 32, 1055, 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, 2, 2, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 6, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 10, 9, 10, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 10, 9, 10, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 7, 7, 7, 7, 4, 4, 5, 7, 8, 8, 7, 10, 9, 10, 9, 13, 12, 13, 11, 12, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 12, 11, 12, 10, 11, 9, 9, 10, 10, 10, 10, 8, 8, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 6, 9, 10, 8, 9, 9, 8, 6, 6, 9, 11, 15, 14, 15, 13, 14, 13, 11, 14, 15, 15, 13, 14, 13, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 14, 13, 14, 12, 13, 12, 11, 9, 10, 8, 9, 8, 7, 8, 7, 14, 13, 14, 12, 13, 11, 11, 12, 12, 12, 12, 10, 10, 9, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 7, 7, 6, 6, 7, 7, 5, 5, 5, 4, 4, 5, 6, 6, 5, 5, 5, 9, 9, 8, 8, 9, 5, 5, 6, 8, 9, 8, 8, 8, 6, 6, 10, 10, 9, 9, 5, 5, 6, 6, 6, 10, 10, 9, 9, 12, 13, 13, 13, 13, 13, 13, 13, 12, 14, 14, 15, 14, 10, 10, 11, 4, 4, 5, 6, 6, 5, 5, 5, 9, 9, 8, 8, 9, 5, 5, 6, 8, 9, 8, 8, 8, 6, 6, 10, 10, 9, 9, 5, 5, 6, 6, 6, 10, 10, 9, 9, 12, 13, 13, 13, 13, 13, 13, 13, 12, 14, 14, 15, 14, 10, 10, 11, 4, 4, 7, 8, 6, 6, 8, 9, 7, 9, 9, 9, 8, 9, 9, 9, 7, 2, 2, 3, 4, 5, 4, 4, 6, 6, 6, 6, 5, 6, 4, 3, 3, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 8, 11, 11, 14, 13, 14, 12, 13, 11, 9, 11, 14, 13, 14, 12, 13, 11, 4, 4, 7, 6, 6, 8, 9, 8, 11, 10, 11, 9, 10, 8 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 4, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 0, 0, 2, 1, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 4, 4, 1, 6, 6, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 4, 4, 1, 7, 7, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 4, 4, 8, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 3, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 4, 4, 10, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 10, 10, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 5, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 5, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 11, 2, 1, 2, 2, 0, 0, 0, 0, 3, 2, 2, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 3, 1, 0, 0, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 2322, 203, 465, 5237, 203, 1070, 4479, 2076, 1188, 26965, 81, 8037, 30, 26965, 81, 33861, 30, 17595, 1222, 203, 1070, 4479, 2076, 32, 23201, 7550, 1188, 7596, 81, 2620, 81, 681, 81, 426, 203, 1070, 4479, 2076, 32, 2076, 81, 4554, 1188, 2454, 81, 2076, 81, 1070, 81, 761, 30, 2454, 81, 14382, 81, 1070, 81, 761, 203, 1070, 4479, 2076, 32, 12617, 1188, 27708, 81, 2076, 81, 681, 30, 438, 81, 14842, 30, 5889, 81, 681, 203, 4652, 81, 426, 280, 5237, 32, 6118, 77, 35, 79, 203, 2076, 81, 761, 280, 5237, 32, 6118, 77, 36, 79, 203, 11176, 280, 5237, 32, 6118, 77, 37, 997, 2998, 16487, 683, 415, 2069, 26, 3731, 32, 6118, 27, 848, 225, 37, 813, 1605, 203, 2076, 81, 1819, 280, 17595, 1222, 32, 1297, 81, 1536, 346, 203, 2620, 81, 681, 81, 426, 280, 7596, 81, 2620, 81, 681, 81, 426, 26, 4652, 81, 426, 30, 2322, 32, 983, 32, 15705, 26, 2076, 81, 761, 490, 203, 325, 3124, 81, 761, 32, 20643, 26, 2399, 81, 8037, 711, 284, 1374, 280, 2454, 81, 2076, 81, 1070, 81, 761, 26, 2076, 81, 1819, 30, 3124, 81, 761, 30, 3536, 81, 681, 81, 426, 27, 284, 707, 15655, 81, 2516, 280, 1374, 32, 2516, 203, 12106, 3124, 81, 761, 32, 20643, 26, 2399, 81, 33861, 711, 284, 1374, 280, 2454, 81, 14382, 81, 1070, 81, 761, 26, 2076, 81, 1819, 30, 3124, 81, 761, 30, 3536, 81, 681, 81, 426, 27, 284, 707, 15655, 81, 2516, 280, 1374, 32, 1357, 32, 2516, 474, 1374, 32, 1986, 32, 2516, 203, 1824, 44, 284, 1459, 440, 11415, 803, 44, 6611, 101, 25, 429, 8665, 803, 5016, 20, 904, 3124, 81, 761, 30, 803, 47, 3731, 32, 8228, 27, 284, 5237, 32, 4775, 26, 35, 27, 203, 1320, 81, 1819, 280, 1374, 32, 1320, 203, 979, 707, 15655, 81, 681, 328, 707, 15655, 81, 2516, 44, 284, 27708, 81, 681, 280, 27708, 81, 2076, 81, 681, 26, 311, 15655, 81, 681, 27, 284, 11425, 81, 681, 280, 5889, 81, 681, 26, 30149, 81, 681, 30, 2652, 81, 1819, 27, 284, 415, 646, 438, 81, 14842, 26, 15655, 81, 681, 27, 461, 11425, 81, 681, 646, 328, 21022, 44, 291, 1459, 440, 1318, 6440, 432, 322, 1474, 33, 2122, 6611, 101, 25, 1159, 5372, 32, 5294, 24635, 311, 21816, 3107, 904, 1374, 32, 2620, 81, 426, 30, 803, 47, 3731, 32, 8228, 27, 291, 5237, 32, 4775, 26, 35, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 5, 3, 4, 3, 0, 3, 3, 3, 2, 2, 4, 5, 3, 4, 3, 0, 3, 2, 2, 7, 8, 6, 7, 6, 6, 5, 7, 3, 3, 6, 8, 7, 8, 6, 4, 4, 5, 3, 3, 0, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 0, 1, 1, 4, 4, 3, 4, 3, 4, 4, 4, 3, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 5, 6, 1, 2, 2, 5, 5, 4, 5, 4, 5, 5, 5, 4, 2, 2, 5, 5, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 8, 8, 7, 3, 3, 6, 6, 6, 5, 5, 8, 9, 7, 8, 6, 6, 8, 9, 7, 8, 1, 2, 2, 2, 2, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 6, 6, 7, 9, 8, 9, 6, 3, 3, 6, 7, 6, 7, 6, 0, 3, 3, 3, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 3, 5, 7, 7, 7, 8, 8, 8, 7, 4, 4, 6, 6, 5, 5, 5, 3, 3, 3, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 7, 7, 8, 10, 9, 10, 7, 4, 4, 7, 8, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 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, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 12, 12, 0, 0, 0, 2, 1, 1, 1, 1, 1, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 5, 5, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 12, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 5, 5, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 12, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 3, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 14, 14, 1, 1, 1, 14, 14, 3, 3, 3, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 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, 2, 2, 2, 2, 1, 1, 3, 0, 2, 2, 1, 3, 3, 0, 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 ]
[ 465, 5237, 203, 1070, 29947, 1188, 4705, 30, 2290, 81, 5043, 203, 47297, 280, 2156, 463, 15965, 32, 2760, 370, 330, 100, 1814, 850, 922, 7201, 922, 2998, 4446, 346, 203, 47297, 81, 858, 280, 2156, 463, 15965, 81, 858, 32, 2760, 370, 330, 100, 1814, 850, 922, 7201, 922, 2998, 4446, 346, 203, 7615, 280, 2149, 203, 325, 5237, 32, 1648, 81, 1338, 77, 34, 79, 2377, 225, 37, 44, 284, 6717, 710, 539, 81, 36, 452, 37, 785, 280, 2933, 284, 6717, 710, 539, 81, 36, 452, 37, 81, 267, 81, 1409, 288, 17206, 785, 280, 2933, 203, 5522, 26, 284, 636, 1057, 26275, 12023, 31, 3403, 2634, 267, 370, 284, 1503, 1057, 34, 32, 36, 32, 42, 370, 284, 1984, 1057, 641, 555, 28199, 32, 1088, 33, 31371, 915, 88, 15429, 33, 26275, 31, 12023, 370, 284, 5822, 81, 965, 1057, 525, 555, 21969, 32, 2958, 32, 1088, 33, 21969, 33, 26275, 12023, 31, 3403, 2634, 267, 370, 284, 3541, 1057, 14954, 370, 284, 4081, 1057, 19341, 559, 103, 5488, 370, 284, 4081, 81, 1935, 1057, 17251, 50, 2808, 304, 2274, 10746, 366, 32, 508, 370, 284, 3048, 47, 505, 1427, 7642, 284, 1946, 81, 2310, 47, 1676, 463, 10229, 32, 9632, 370, 330, 100, 1814, 850, 1026, 284, 8529, 81, 4770, 47, 2700, 30, 284, 43397, 6020, 291, 330, 20235, 5400, 2037, 225, 38, 429, 31511, 370, 291, 330, 6330, 2037, 6497, 370, 291, 330, 6330, 2037, 3704, 10572, 370, 291, 330, 1428, 4611, 37393, 5467, 2037, 36646, 370, 291, 330, 3786, 2037, 546, 2123, 46573, 2037, 11895, 1177, 370, 291, 330, 25900, 1171, 2037, 6642, 40201, 370, 291, 330, 23560, 6633, 2037, 4865, 370, 291, 330, 23560, 6633, 2037, 4865, 2037, 225, 36, 370, 291, 330, 23560, 6633, 2037, 4865, 2037, 225, 37, 370, 291, 330, 8294, 2037, 12217, 370, 291, 330, 8294, 2037, 29832, 370, 284, 2505, 284, 17503, 1057, 1813, 370, 284, 7599, 47, 1809, 81, 5043, 1026, 284, 2305, 81, 1320, 81, 605, 47, 1815, 30, 284, 2443, 81, 13966, 47, 47297, 30, 284, 894, 81, 9089, 1057, 33313, 32, 21945, 370, 284, 3312, 81, 1981, 47, 47297, 81, 858, 30, 284, 3583, 81, 5043, 11414, 26275, 12023, 2188, 284, 1115, 7615, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 3, 2, 2, 10, 12, 12, 12, 12, 10, 12, 12, 9, 8, 7, 6, 5, 5, 4, 0, 3, 3, 3, 2, 2, 10, 12, 12, 12, 12, 12, 12, 10, 12, 12, 9, 8, 7, 6, 5, 5, 4, 0, 3, 2, 2, 0, 1, 1, 4, 5, 5, 5, 3, 4, 3, 2, 2, 3, 1, 1, 1, 5, 7, 7, 7, 7, 7, 7, 4, 4, 2, 2, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 0, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 5, 3, 3, 5, 5, 4, 8, 8, 10, 10, 10, 10, 8, 10, 10, 7, 6, 3, 3, 5, 5, 4, 5, 3, 3, 3, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 3, 3, 4, 6, 6, 3, 3, 4, 6, 6, 6, 6, 3, 3, 5, 5, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 6, 6, 6, 6, 3, 3, 5, 5, 4, 5, 5, 5, 3, 3, 3, 5, 5, 4, 7, 7, 7, 3, 3, 5, 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 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 5, 5, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 5, 5, 5, 0, 1, 1, 1, 1, 1, 2, 0, 0, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 9, 1, 2, 1, 1, 11, 1, 1, 1, 1, 2, 1, 1, 0, 0, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 15, 2, 2, 2, 1, 1, 0, 0, 17, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 19, 2, 1, 1, 1, 21, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 23, 1, 2, 1, 1, 25, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 27, 2, 1, 1, 1, 0, 0, 29, 2, 1, 1, 1, 0, 0, 31, 1, 1, 1, 2, 1, 1, 0, 0, 33, 2, 2, 2, 1, 1, 1, 0, 0, 35, 1, 1, 2, 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 ]
[ 1070, 28520, 32, 8524, 32, 4882, 1188, 15798, 203, 1070, 28520, 32, 48646, 32, 4890, 1188, 9957, 203, 823, 2108, 2212, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 658, 280, 9957, 26, 9786, 47, 35, 34, 34, 27, 291, 630, 32, 8268, 280, 9957, 26, 9786, 47, 34, 27, 284, 665, 894, 81, 3685, 26, 784, 711, 291, 630, 32, 6549, 26, 784, 32, 658, 610, 630, 32, 658, 27, 291, 630, 32, 14846, 26, 784, 32, 658, 610, 630, 32, 8268, 27, 284, 665, 894, 81, 941, 26, 784, 711, 291, 630, 32, 14846, 26, 784, 32, 658, 863, 630, 32, 658, 27, 291, 630, 32, 6549, 26, 784, 32, 658, 863, 630, 32, 8268, 27, 284, 665, 894, 81, 2159, 26, 784, 711, 291, 630, 32, 14846, 26, 784, 32, 658, 333, 630, 32, 658, 27, 291, 630, 32, 6549, 26, 784, 32, 658, 333, 630, 32, 8268, 27, 291, 630, 32, 14846, 26, 784, 32, 8268, 333, 630, 32, 658, 27, 284, 665, 894, 81, 1837, 26, 784, 711, 291, 630, 32, 14846, 26, 784, 32, 658, 848, 630, 32, 658, 27, 291, 630, 32, 14846, 26, 784, 32, 658, 848, 630, 32, 8268, 27, 291, 630, 32, 6549, 26, 784, 32, 8268, 848, 630, 32, 658, 27, 284, 665, 894, 81, 274, 26, 784, 711, 291, 630, 32, 6549, 26, 784, 32, 658, 2511, 630, 32, 658, 27, 291, 630, 32, 6549, 26, 784, 32, 658, 2511, 630, 32, 8268, 27, 291, 630, 32, 14846, 26, 784, 32, 8268, 2511, 630, 32, 658, 27, 284, 665, 894, 81, 300, 26, 784, 711, 291, 630, 32, 6549, 26, 784, 32, 658, 2377, 630, 32, 658, 27, 291, 630, 32, 14846, 26, 784, 32, 658, 2377, 630, 32, 8268, 27, 291, 630, 32, 6549, 26, 784, 32, 8268, 2377, 630, 32, 658, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 8, 10, 9, 10, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 19571, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 337, 2269, 30, 3829, 203, 1070, 3089, 749, 98, 32, 500, 104, 32, 494, 1188, 2940, 81, 494, 203, 30317, 7204, 54, 81, 29054, 280, 739, 1162, 284, 330, 3734, 81, 21039, 105, 81, 1286, 370, 330, 3734, 81, 100, 696, 81, 1286, 370, 330, 3734, 81, 21039, 105, 370, 330, 3734, 81, 100, 696, 370, 284, 330, 3734, 81, 21039, 105, 81, 1286, 81, 605, 370, 330, 3734, 81, 100, 696, 81, 1286, 81, 605, 370, 330, 1903, 81, 1071, 370, 9658, 203, 8750, 81, 27117, 69, 280, 428, 400, 313, 1580, 81, 1141, 81, 6844, 392, 38042, 313, 1580, 81, 1216, 81, 6844, 392, 264, 400, 313, 1580, 81, 1141, 81, 268, 1089, 392, 8982, 313, 3242, 81, 698, 81, 1676, 392, 263, 400, 313, 3242, 81, 698, 81, 1141, 392, 958, 3083, 1481, 203, 823, 7683, 81, 2810, 26, 500, 104, 32, 500, 104, 711, 284, 617, 426, 280, 330, 476, 32, 2810, 25, 284, 665, 617, 853, 81, 311, 24088, 26, 784, 30, 6213, 30, 1256, 30, 9668, 30, 636, 30, 1638, 30, 1619, 47, 2521, 711, 291, 736, 280, 2149, 291, 436, 3627, 328, 630, 32, 14304, 26, 7017, 30, 1256, 30, 9668, 30, 1619, 47, 1819, 711, 324, 786, 280, 3627, 77, 426, 20129, 43, 3212, 324, 415, 3627, 32, 678, 610, 330, 1536, 25, 461, 786, 44, 400, 1596, 44, 528, 786, 280, 596, 26, 24088, 32, 12474, 26, 853, 490, 400, 2940, 3268, 44, 528, 3097, 324, 736, 77, 4133, 32, 314, 79, 280, 786, 291, 442, 736, 284, 665, 617, 853, 81, 24088, 26, 784, 30, 6213, 30, 1256, 30, 804, 30, 636, 30, 786, 30, 1638, 30, 1619, 47, 2521, 711, 291, 415, 1619, 438, 1665, 44, 324, 1619, 280, 2149, 291, 3692, 280, 1619, 32, 2991, 346, 291, 415, 630, 32, 1725, 7516, 613, 45598, 81, 6229, 81, 6447, 328, 3692, 44, 324, 3555, 3692, 77, 784, 32, 1725, 7516, 613, 45598, 81, 6229, 81, 6447, 79, 291, 3627, 280, 630, 32, 14304, 26, 7017, 30, 1256, 30, 804, 30, 1619, 47, 1819, 27, 291, 415, 3627, 32, 678, 610, 330, 1536, 950, 324, 786, 280, 19571, 32, 16958, 26, 853, 27, 291, 630, 32, 1821, 26, 7017, 30, 1256, 30, 804, 30, 301, 426, 20129, 43, 2786, 786, 835, 1619, 47, 2095, 27, 284, 665, 43398, 81, 1473, 81, 314, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 1300, 81, 314, 30, 1619, 47, 2521, 711, 291, 415, 646, 1300, 81, 314, 44, 442, 2149, 291, 1712, 280, 630, 32, 5178, 32, 371, 463, 476, 32, 1160, 1814, 14304, 26, 2446, 30, 12373, 30, 1300, 81, 314, 30, 1619, 47, 1819, 27, 291, 442, 301, 400, 330, 853, 950, 5053, 1160, 950, 1712, 32, 1160, 111, 291, 320, 284, 665, 43398, 81, 1141, 81, 314, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 2125, 81, 314, 30, 1619, 47, 2521, 711, 291, 415, 646, 2125, 81, 314, 44, 442, 2149, 291, 1712, 280, 630, 32, 5178, 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, 2, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 4, 4, 5, 5, 5, 7, 8, 7, 8, 7, 7, 7, 7, 7, 7, 8, 9, 7, 5, 5, 8, 8, 9, 11, 10, 13, 10, 6, 6, 7, 10, 11, 9, 9, 11, 11, 8, 8, 7, 7, 7, 9, 9, 9, 12, 12, 14, 17, 16, 17, 16, 17, 16, 9, 9, 10, 10, 10, 10, 6, 6, 9, 11, 10, 11, 9, 8, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 4, 4, 6, 6, 8, 9, 8, 4, 4, 5, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 5, 5, 5, 7, 8, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 8, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 8, 8, 8, 8, 9, 10, 8, 4, 4, 5, 7, 8, 6, 6, 8, 8, 5, 5, 8, 8, 10, 11, 10, 11, 10, 4, 4, 7, 8, 7, 8, 7, 7, 7, 7, 7, 7, 11, 10, 13, 10, 9, 8, 7, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 7, 7, 5, 5, 7, 4, 4, 6, 6, 11, 12, 10, 11, 10, 12, 12, 12, 12, 9, 8, 9, 8, 8, 8, 8, 9, 9, 8, 8, 9, 10, 8, 4, 4, 5, 6, 6, 9, 9, 7, 11, 11, 9, 10, 11, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 7, 7, 5, 5, 7, 4, 4, 6, 6, 11, 12, 10 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 5, 5, 1, 1, 2, 0, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 13, 2, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 5, 5, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 3, 3, 3, 3, 5, 5, 0, 0, 2, 2, 0, 0, 0, 4, 4, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 15, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 1, 4, 4, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 4, 4, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 7, 1, 9, 2, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 2, 11, 2, 2, 3, 3, 0, 1, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 2, 11, 2, 2, 4, 4, 0, 1, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 2, 0 ]