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, 1156, 9666, 505, 1188, 20654, 203, 465, 11685, 203, 465, 6436, 619, 2065, 203, 1070, 18414, 32, 5136, 1188, 10151, 27623, 81, 4382, 203, 1070, 10446, 843, 32, 1439, 1188, 636, 81, 1028, 81, 27325, 203, 1070, 10446, 843, 32, 3274, 1188, 1289, 81, 520, 203, 1070, 10446, 843, 32, 8979, 518, 1188, 1459, 81, 9010, 30, 1459, 81, 6654, 203, 1070, 10446, 843, 32, 1160, 1188, 570, 9648, 56, 1243, 203, 1070, 10446, 843, 32, 3229, 1188, 308, 6997, 318, 3406, 30, 47542, 1138, 318, 3406, 30, 9366, 30, 6431, 3350, 30, 656, 6431, 6997, 318, 3406, 30, 6431, 1061, 47682, 3406, 27, 203, 1070, 10446, 843, 4698, 1188, 9371, 203, 1070, 10446, 843, 4698, 32, 1439, 1188, 5254, 203, 1070, 10446, 843, 4698, 32, 1160, 2386, 1188, 4647, 29483, 66, 10842, 203, 1070, 10446, 843, 4698, 32, 4164, 1188, 308, 7924, 81, 5905, 30, 5247, 81, 2242, 30, 3014, 81, 23312, 30, 4985, 316, 3804, 81, 2242, 81, 452, 81, 3576, 81, 3229, 30, 4985, 6571, 81, 27208, 30, 28454, 843, 14069, 1796, 5711, 30, 4985, 7596, 81, 3576, 81, 3229, 27, 203, 823, 3189, 1353, 1893, 69, 26, 1473, 711, 284, 540, 2993, 284, 1709, 436, 7682, 312, 6959, 31, 3804, 3189, 1353, 8755, 447, 36627, 564, 10791, 3009, 284, 1542, 32, 225, 5294, 2318, 322, 10647, 436, 312, 6550, 1149, 432, 10088, 38453, 32, 284, 8350, 284, 13510, 284, 5703, 499, 529, 668, 82, 432, 529, 8470, 843, 32, 893, 32, 1658, 82, 291, 886, 529, 668, 82, 432, 7682, 5703, 32, 284, 2350, 499, 529, 466, 82, 556, 4102, 2521, 18769, 5302, 291, 886, 13260, 1826, 2350, 688, 1098, 526, 1654, 372, 5683, 322, 399, 2210, 32, 1670, 4102, 2521, 572, 461, 291, 322, 5703, 1755, 1159, 312, 3982, 13260, 1826, 2350, 30, 1615, 688, 438, 322, 1591, 291, 688, 1098, 526, 1654, 32, 5830, 688, 1169, 322, 7682, 5703, 1849, 372, 1159, 322, 291, 3191, 13260, 1826, 2350, 32, 284, 27983, 81, 2255, 499, 529, 668, 82, 432, 26611, 556, 312, 3982, 3996, 556, 4102, 2521, 18769, 5302, 291, 886, 3996, 372, 526, 1654, 436, 322, 27983, 529, 8470, 843, 32, 1160, 32, 57, 9648, 56, 1243, 82, 7682, 32, 291, 2030, 2298, 526, 312, 529, 8470, 843, 32, 3229, 32, 1061, 47682, 3406, 2541, 1670, 4102, 2521, 18769, 1615, 312, 291, 529, 8470, 843, 32, 1160, 32, 44844, 1243, 82, 438, 1654, 4174, 32, 284, 6024, 81, 2255, 499, 529, 668, 82, 432, 26611, 556, 312, 3982, 3996, 556, 4102, 2521, 18769, 5302, 291, 886, 3996, 372, 526, 1654, 436, 322, 6024, 529, 8470, 843, 32, 1160, 32, 57, 9648, 56, 1243, 82, 7682, 32, 2030, 291, 2298, 526, 312, 529, 8470, 843, 32, 3229, 32, 1061, 47682, 3406, 2541, 1670, 4102, 2521, 18769, 1615, 322, 6024, 291, 1542, 438, 6895, 1471, 529, 8470, 843, 32, 1160, 32, 44844, 1243, 2541, 284, 409, 1782, 81, 2255, 499, 529, 668, 82, 432, 26611, 556, 312, 3982, 3996, 556, 4102, 2521, 18769, 5302, 291, 886, 3996, 372, 526, 1654, 436, 322, 409, 1782, 529, 8470, 843 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 0, 1, 1, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 2, 6, 6, 0, 0, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 0, 9, 9, 0, 0, 9, 9, 0, 10, 10, 0, 0, 1, 2, 10, 10, 0, 11, 11, 0, 0, 1, 2, 2, 11, 11, 0, 0, 0, 0, 12, 12, 0, 0, 1, 2, 12, 12, 0, 0, 0, 12, 12, 0, 0, 12, 12, 0, 0, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 12, 0, 0, 12, 12, 0, 0, 0, 0, 12, 12, 12, 0, 0, 0, 0, 12, 0, 13, 13, 1, 1, 1, 2, 1, 2, 13, 13, 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 ]
[ 1070, 3995, 1188, 16483, 203, 1070, 638, 3626, 1094, 1188, 6061, 1097, 203, 823, 570, 268, 749, 107, 26, 3771, 1097, 711, 284, 5396, 280, 225, 34, 3701, 665, 1156, 1664, 3207, 784, 30, 1115, 5321, 711, 291, 6061, 1097, 3667, 1664, 3207, 784, 30, 1115, 5321, 27, 291, 630, 32, 3855, 1125, 81, 2705, 346, 291, 630, 32, 3804, 280, 16483, 26, 34, 32, 39, 30, 225, 36, 27, 291, 630, 32, 5346, 280, 16483, 26, 34, 30, 225, 37, 40, 34, 27, 203, 823, 9366, 26, 57, 268, 749, 107, 711, 284, 1778, 81, 426, 280, 330, 84, 1372, 32, 1645, 25, 284, 5396, 280, 225, 37, 3701, 665, 1156, 1664, 3207, 784, 30, 1115, 5321, 711, 291, 570, 268, 749, 107, 3667, 1664, 3207, 784, 30, 1115, 5321, 27, 291, 630, 32, 3855, 1125, 81, 2705, 26, 10444, 81, 6006, 47, 38, 34, 34, 27, 291, 630, 32, 6555, 280, 16483, 26, 34, 32, 40, 30, 225, 35, 27, 203, 823, 506, 2558, 3210, 26, 3350, 711, 284, 1778, 81, 426, 280, 330, 2173, 267, 3210, 32, 1645, 25, 284, 5396, 280, 225, 37, 3701, 665, 1156, 1664, 3207, 784, 30, 1115, 5321, 711, 291, 9366, 3667, 1664, 3207, 784, 30, 1115, 5321, 27, 291, 630, 32, 6555, 280, 16483, 26, 34, 32, 39, 30, 225, 35, 27, 203, 823, 506, 5729, 26, 57, 268, 749, 107, 711, 284, 1778, 81, 426, 280, 330, 41453, 32, 1645, 25, 284, 665, 1156, 1664, 3207, 784, 30, 1115, 5321, 711, 291, 570, 268, 749, 107, 3667, 1664, 3207, 784, 30, 1115, 5321, 27, 291, 630, 32, 3804, 280, 16483, 26, 34, 32, 39, 30, 225, 35, 27, 291, 630, 32, 5346, 280, 16483, 3736, 36, 34, 30, 225, 36, 34, 27, 203, 823, 2688, 318, 26, 57, 268, 749, 107, 711, 284, 1778, 81, 426, 280, 330, 1376, 318, 32, 1645, 25, 284, 665, 1156, 1664, 3207, 784, 30, 1115, 5321, 711, 291, 570, 268, 749, 107, 3667, 1664, 3207, 784, 30, 1115, 5321, 27, 291, 630, 32, 6555, 280, 16483, 26, 34, 32, 38, 30, 225, 34, 32, 41, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 1, 1, 4, 4, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 9, 7, 4, 4, 7, 8, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 8, 9, 9, 9, 8, 0, 1, 1, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 8, 8, 8, 7, 8, 8, 8, 7, 7, 9, 7, 4, 4, 7, 8, 8, 8, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 8, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 7, 7, 9, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 8, 9, 8, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 8, 8, 8, 7, 8, 8, 8, 7, 7, 9, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 10, 10, 8, 8, 9, 9, 8, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 8, 8, 8, 7, 8, 8, 8, 7, 7, 9, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 3, 3, 3, 1, 0, 3, 3, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 0, 5, 5, 1, 2, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 0, 6, 6, 1, 2, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 638, 2304, 1188, 44623, 81, 521, 81, 4065, 30, 3270, 19985, 1486, 30, 617, 2682, 81, 983, 30, 2467, 81, 2132, 203, 823, 701, 2776, 1486, 26, 558, 19985, 1486, 711, 284, 477, 1217, 81, 2132, 440, 2590, 81, 5457, 392, 313, 1367, 657, 284, 665, 622, 81, 9247, 26, 784, 30, 804, 47, 2521, 30, 2803, 47, 2521, 30, 4826, 47, 2521, 711, 291, 442, 630, 32, 9613, 32, 14413, 81, 1357, 26, 324, 313, 2788, 392, 617, 2682, 81, 983, 14715, 24792, 392, 313, 9247, 392, 804, 471, 2803, 47, 2132, 30, 4826, 47, 5078, 291, 829, 284, 477, 1217, 81, 2132, 440, 2590, 81, 5457, 392, 313, 5457, 657, 284, 665, 4162, 81, 9247, 26, 784, 30, 804, 30, 3361, 30, 2803, 47, 2521, 30, 4826, 47, 2521, 711, 291, 436, 4356, 328, 308, 314, 30, 3361, 711, 324, 415, 4356, 328, 44623, 81, 521, 81, 4065, 44, 400, 3636, 10091, 440, 2766, 786, 5403, 436, 312, 2129, 2793, 7144, 291, 442, 630, 32, 9613, 32, 14413, 81, 1357, 26, 324, 313, 4747, 392, 324, 617, 2682, 81, 983, 14715, 24792, 392, 313, 9247, 392, 804, 471, 324, 2803, 47, 2132, 30, 324, 4826, 47, 5078, 30, 324, 3361, 47, 1548, 30, 291, 829, 284, 477, 1217, 81, 2132, 440, 2590, 81, 5457, 392, 313, 5457, 657, 284, 665, 3066, 81, 9247, 26, 784, 30, 804, 30, 2803, 47, 2521, 30, 4826, 47, 2521, 711, 291, 415, 804, 328, 44623, 81, 521, 81, 4065, 44, 324, 3636, 10091, 440, 2766, 786, 5403, 436, 312, 2129, 2793, 330, 314, 2473, 657, 291, 442, 630, 32, 9613, 32, 14413, 81, 1357, 26, 324, 313, 6691, 392, 324, 617, 2682, 81, 983, 14715, 24792, 392, 313, 9247, 392, 804, 471, 324, 2803, 47, 2132, 30, 324, 4826, 47, 5078, 30, 291, 829, 284, 477, 1217, 81, 2132, 440, 10529, 657, 284, 665, 26584, 26, 784, 30, 3361, 30, 804, 47, 2521, 30, 2803, 47, 2521, 30, 4826, 47, 2521, 711, 291, 415, 3361, 328, 44623, 81, 521, 81, 4065, 44, 324, 3636, 10091, 440, 2766, 786, 5403, 436, 312, 2129, 2793, 330, 1548, 2473, 657, 291, 442, 630, 32, 9613, 32, 14413, 81, 1357, 26, 324, 313, 3705, 392, 324, 617, 2682, 81, 983, 14715, 24792, 392, 313, 9247, 392, 804, 30, 7286, 29766, 2113, 324, 2803, 47, 2132, 30, 324, 4826, 47, 5078, 30, 324, 3361, 47, 1548, 30, 291, 829, 284, 477, 1217, 81, 2132, 346, 284, 665, 12808, 81, 14157, 93, 26, 784, 30, 2803, 47, 2521, 30, 4826, 47, 2521, 711, 291, 442, 630, 32, 9613, 32, 14413, 81, 1357, 26, 324, 313, 2788, 392, 2430, 81, 24792, 33, 10075, 33, 14157, 93, 392, 2803, 47, 2132, 30, 4826, 47, 5078, 291, 829, 284, 477, 1217, 81, 2132, 346, 284, 665, 12266, 81, 639, 81, 5136, 26, 784, 30, 2803, 47, 2521, 30, 4826, 47, 2521, 711, 291, 442, 630, 32, 9613, 32, 14413, 81, 1357, 26, 324, 313, 2788, 392, 2430, 81, 24792, 33, 8512, 639, 33, 5136, 392, 2803, 47, 2132, 30, 4826, 47, 5078 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 6, 6, 6, 6, 8, 8, 8, 8, 6, 8, 8, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 7, 5, 5, 6, 7, 5, 5, 6, 7, 5, 4, 4, 6, 9, 10, 8, 9, 9, 9, 8, 8, 8, 10, 10, 8, 10, 10, 10, 10, 12, 12, 10, 12, 12, 10, 10, 8, 9, 10, 8, 8, 9, 10, 8, 8, 2, 2, 6, 6, 6, 6, 8, 8, 8, 8, 6, 8, 8, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 7, 5, 5, 6, 7, 5, 4, 4, 6, 6, 6, 8, 7, 7, 7, 6, 6, 8, 9, 9, 10, 10, 10, 10, 8, 8, 8, 10, 12, 14, 14, 14, 14, 14, 14, 14, 14, 5, 5, 6, 9, 10, 8, 9, 9, 9, 8, 8, 8, 10, 10, 8, 8, 10, 10, 10, 10, 12, 12, 10, 12, 12, 10, 10, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 2, 2, 6, 6, 6, 6, 8, 8, 8, 8, 6, 8, 8, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 5, 5, 6, 7, 5, 4, 4, 6, 7, 7, 8, 8, 8, 8, 6, 6, 6, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 5, 5, 6, 9, 10, 8, 9, 9, 9, 8, 8, 8, 10, 10, 8, 8, 10, 10, 10, 10, 12, 12, 10, 12, 12, 10, 10, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 2, 2, 6, 6, 6, 6, 8, 8, 3, 3, 4, 5, 6, 5, 5, 5, 5, 6, 7, 5, 5, 6, 7, 5, 5, 6, 7, 5, 4, 4, 6, 7, 7, 8, 8, 8, 8, 6, 6, 6, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 5, 5, 6, 9, 10, 8, 9, 9, 9, 8, 8, 8, 10, 10, 8, 8, 10, 10, 10, 10, 12, 12, 10, 12, 12, 10, 10, 10, 12, 12, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 2, 2, 6, 6, 6, 6, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 6, 7, 5, 5, 6, 7, 5, 4, 4, 6, 9, 10, 8, 9, 9, 9, 8, 8, 8, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 8, 8, 9, 10, 8, 8, 2, 2, 6, 6, 6, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 7, 5, 5, 6, 7, 5, 4, 4, 6, 9, 10, 8, 9, 9, 9, 8, 8, 8, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 8, 8, 9, 10 ]
[ 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, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 1, 1, 0, 0, 0, 1, 3, 3, 3, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 9, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 2, 3, 3, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 9, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 1, 1, 7, 2, 1, 1, 4, 4, 0, 0, 0, 1, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 1, 1, 7, 2 ]
[ 465, 6234, 203, 465, 26313, 203, 465, 5523, 203, 465, 5741, 203, 4073, 280, 5741, 32, 10579, 440, 1006, 5936, 32, 38124, 39, 657, 203, 823, 5718, 44, 284, 45137, 280, 225, 34, 106, 34, 35, 203, 823, 8983, 620, 44, 284, 4600, 72, 38, 280, 225, 34, 106, 34, 35, 284, 4085, 10383, 2474, 280, 225, 34, 106, 34, 37, 284, 4600, 72, 40, 280, 225, 34, 106, 34, 38, 203, 589, 20530, 464, 26, 101, 30, 310, 711, 284, 13675, 280, 3432, 955, 346, 284, 2218, 310, 848, 225, 34, 44, 291, 343, 280, 309, 32, 12084, 26, 96, 27, 291, 415, 646, 343, 44, 324, 3636, 45338, 463, 10203, 943, 432, 3443, 683, 291, 13675, 32, 8233, 26, 86, 27, 291, 310, 5912, 2069, 26, 86, 27, 284, 442, 13675, 203, 823, 358, 27011, 39, 2324, 2262, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 3225, 280, 1665, 4456, 630, 32, 1549, 280, 6234, 32, 5995, 81, 21399, 4456, 630, 32, 311, 2393, 280, 3177, 16189, 630, 32, 2393, 280, 3177, 261, 203, 823, 358, 27011, 39, 2019, 2262, 284, 665, 1156, 1664, 3207, 784, 30, 4774, 30, 821, 2983, 30, 8705, 30, 2601, 30, 952, 30, 3882, 711, 291, 630, 32, 3515, 280, 4774, 4456, 630, 32, 269, 2983, 280, 821, 2983, 4456, 630, 32, 3225, 280, 8705, 4456, 630, 32, 625, 280, 2601, 4456, 630, 32, 699, 280, 952, 291, 630, 32, 2895, 280, 3882, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 330, 69, 27011, 39, 2019, 7846, 101, 9726, 101, 9726, 101, 9726, 101, 9726, 101, 9726, 101, 9905, 904, 308, 784, 32, 3515, 30, 630, 32, 269, 2983, 30, 630, 32, 3225, 30, 630, 32, 625, 30, 630, 32, 699, 30, 630, 32, 2895, 27, 203, 823, 358, 27011, 39, 2798, 2262, 284, 665, 1156, 1664, 3207, 784, 30, 14967, 30, 4567, 30, 10362, 711, 291, 630, 32, 1666, 280, 14967, 291, 630, 32, 3781, 280, 4567, 291, 630, 32, 10356, 280, 10362, 284, 665, 2887, 26, 784, 711, 291, 1596, 44, 324, 2643, 280, 20530, 464, 26, 784, 32, 3781, 30, 225, 35, 5594, 34, 79, 324, 415, 2643, 863, 225, 34, 106, 34, 39, 44, 400, 3636, 45338, 463, 3817, 13363, 101, 1503, 904, 91, 25, 904, 2643, 27, 324, 310, 9147, 280, 20530, 464, 26, 784, 32, 3781, 30, 225, 35, 5594, 34, 79, 324, 4438, 280, 3432, 955, 26, 12084, 464, 26, 784, 32, 3781, 30, 310, 9147, 490, 324, 1411, 280, 1665, 324, 415, 225, 34, 106, 34, 36, 328, 4438, 461, 630, 32, 1666, 32, 2957, 32, 2393, 44, 400, 1411, 280, 225, 34, 106, 34, 36, 4288, 4348, 225, 34, 106, 34, 34, 328, 4438, 461, 630, 32, 1666, 32, 2957, 32, 311, 2393, 44, 400, 1411, 280, 225, 34, 106, 34, 34, 4288, 415, 1411, 438, 1665, 44, 400, 3636, 45338, 463, 2023, 5420, 9156, 1411, 1597, 42054, 683, 324, 630, 32, 3781, 32, 2714, 464, 26, 2263, 955, 2009, 34, 106, 34, 39, 30, 1411, 5259, 324, 952, 280, 1665, 324, 3882 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 1, 1, 1, 1, 1, 4, 4, 5, 5, 5, 5, 0, 1, 1, 2, 1, 1, 1, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 6, 2, 2, 3, 4, 4, 5, 3, 3, 3, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 6, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 4, 4, 7, 8, 7, 8, 7, 4, 4, 6, 6, 8, 9, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 8, 9, 7, 7, 8, 9, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 5, 5, 8, 8, 11, 11, 13, 12, 13, 11, 11, 12, 11, 10, 9, 6, 6, 7, 8, 8, 9, 9, 9, 9, 7, 7, 7, 9, 11, 14, 14, 14, 14, 14, 14, 14, 12, 12, 11, 6, 6, 9, 8, 8, 11, 11, 13, 12, 13, 11, 11, 12, 11, 10, 9, 6, 6, 8, 8, 10, 10, 12, 12, 12, 14, 13, 14, 12, 12, 13, 12, 6, 6, 8, 8, 6, 6, 7, 10, 10, 10, 10, 9, 9, 8, 8, 11, 12, 10, 11, 9, 10, 7, 7, 7, 10, 10, 11, 11, 11, 11, 7, 7, 8, 11, 11, 11, 11, 10, 10, 9, 9, 12, 13, 11, 12, 10, 11, 11, 8, 8, 8, 11, 11, 12, 12, 12, 12, 6, 6, 7, 8, 8, 7, 7, 7, 9, 11, 13, 13, 13, 13, 13, 13, 13, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 11, 13, 13, 13, 13, 12, 12, 12, 6, 6, 8, 8, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 5, 5, 5, 0, 0, 2, 2, 2, 2, 0, 6, 6, 1, 6, 6, 6, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 0, 7, 7, 1, 2, 1, 2, 2, 2, 7, 7, 0, 0, 0, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 4, 4, 2, 0, 8, 8, 1, 1, 1, 2, 8, 8, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 9, 9, 1, 1, 1, 2, 9, 9, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 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, 0, 1, 2, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 0, 10, 10, 1, 1, 1, 2, 10, 10, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 3, 1, 2, 2, 0, 0, 2, 2, 5, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 5, 5, 5, 0, 0, 2, 2, 2, 2, 5, 5, 4, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 4, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 6, 1, 1, 6, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2 ]
[ 505, 1311, 505, 280, 330, 9698, 25, 203, 505, 1648, 505, 280, 330, 35, 32, 36, 32, 37, 25, 203, 505, 1832, 505, 280, 225, 34, 106, 34, 35, 34, 36, 34, 37, 203, 505, 2116, 505, 280, 330, 61, 26227, 349, 902, 22418, 25, 203, 505, 2077, 505, 280, 330, 19743, 225, 36, 32, 34, 25, 203, 505, 11794, 505, 280, 330, 10581, 225, 36, 34, 35, 37, 1224, 26227, 349, 902, 22418, 25, 203, 1270, 44, 284, 645, 5167, 32, 5043, 32, 39362, 37, 32, 12023, 1188, 3619, 16492, 284, 3619, 16492, 32, 10281, 81, 8005, 81, 39362, 37, 346, 203, 7343, 29986, 44, 284, 3097, 203, 1070, 638, 1188, 8745, 203, 1070, 638, 3378, 1188, 4448, 30, 5170, 30, 37010, 1104, 203, 1070, 638, 1237, 1188, 1326, 30, 622, 30, 5759, 30, 2364, 30, 7841, 30, 4162, 30, 3066, 30, 2075, 203, 1070, 638, 18780, 1188, 3523, 30, 6548, 203, 1070, 638, 1517, 81, 7787, 1188, 12668, 203, 1070, 638, 11452, 1188, 308, 284, 4448, 984, 30, 20955, 30, 3834, 5413, 30, 284, 37327, 7434, 11445, 101, 30, 4808, 924, 30, 9476, 924, 203, 27, 203, 465, 5741, 203, 1270, 44, 10065, 645, 5741, 1188, 9282, 1972, 203, 7343, 29986, 44, 284, 443, 9282, 1972, 26, 7490, 32, 1972, 711, 291, 665, 9533, 26, 784, 30, 3627, 711, 324, 3097, 203, 7490, 32, 10579, 4064, 426, 25566, 669, 1972, 26, 1883, 1972, 1157, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 1, 1, 3, 4, 5, 4, 5, 5, 4, 5, 3, 3, 5, 2, 2, 6, 5, 6, 6, 6, 6, 6, 6, 5, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 5, 1, 2, 2, 2, 2, 2, 4, 5, 5, 7, 6, 7, 5, 4, 4, 6, 7, 8, 7, 7, 7, 6, 6, 0, 6, 5, 6, 5, 6, 6, 4, 4, 3, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 6, 6, 0, 1, 2, 1, 4, 4, 1, 6, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 6, 3, 3, 3, 3, 3, 0, 7, 7, 7, 7, 0, 8, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 10, 10, 0, 10, 10, 10, 10, 0, 11, 11, 0, 0, 0, 11, 11, 0, 12, 12, 0, 12, 12, 12, 12, 0, 12, 12, 12, 12, 0, 12, 12, 12, 0, 0, 0, 12, 12, 0, 12, 12, 0, 12, 12, 0, 13, 13, 0, 14, 14, 14, 14, 0, 0, 0, 0, 14, 3, 3, 3, 3, 3, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 33943, 203, 465, 33943, 4313, 203, 465, 802, 203, 465, 316, 203, 1070, 767, 32, 9881, 32, 6443, 32, 2795, 1188, 1593, 3782, 7584, 203, 325, 1156, 426, 505, 46, 5844, 1320, 563, 284, 645, 5034, 32, 8463, 1188, 319, 284, 645, 10653, 1006, 1188, 319, 284, 3500, 347, 858, 20, 284, 12373, 280, 225, 37, 203, 823, 8125, 4140, 705, 4349, 2557, 26, 33943, 4313, 32, 1761, 30, 1593, 3782, 7584, 8063, 284, 665, 1156, 1664, 3207, 784, 30, 3692, 711, 291, 630, 32, 2095, 262, 280, 3692, 291, 630, 32, 1647, 225, 280, 313, 520, 749, 98, 81, 3734, 20, 291, 630, 32, 1648, 280, 313, 34, 32, 35, 20, 291, 10653, 1006, 346, 291, 415, 646, 6207, 1517, 461, 1156, 426, 505, 11490, 1320, 563, 324, 4323, 26, 35, 27, 291, 630, 32, 83, 4144, 24105, 327, 19066, 291, 630, 32, 371, 4140, 346, 284, 665, 622, 4140, 26, 784, 711, 291, 18765, 47, 371, 13025, 346, 291, 3693, 280, 18765, 32, 12331, 1722, 346, 291, 337, 926, 2759, 280, 3693, 32, 10627, 4140, 922, 1297, 21949, 346, 291, 2218, 337, 926, 2759, 32, 43884, 7452, 2262, 324, 337, 926, 280, 337, 926, 2759, 32, 47295, 346, 324, 415, 337, 926, 32, 25166, 1183, 440, 508, 32, 9881, 32, 6443, 32, 878, 32, 10215, 32, 21703, 10280, 400, 337, 926, 32, 371, 10120, 922, 1031, 32, 3215, 652, 26, 97, 926, 32, 371, 10120, 1026, 97, 926, 32, 3637, 77, 35, 614, 2700, 27, 400, 337, 926, 32, 19924, 346, 203, 325, 1156, 426, 505, 46, 5844, 1320, 563, 284, 8125, 4140, 705, 4349, 2557, 26, 2521, 27, 203, 1824, 44, 284, 485, 81, 14634, 2762, 32, 669, 14634, 26, 8125, 4140, 705, 4349, 2557, 30, 313, 1088, 32, 1676, 12789, 32, 520, 749, 98, 32, 3734, 32, 5954, 9545, 392, 2884, 508, 32, 9881, 32, 6443, 32, 2795, 32, 3782, 392, 471, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 4, 5, 3, 3, 2, 2, 3, 5, 3, 3, 2, 2, 4, 6, 6, 2, 2, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 6, 4, 4, 7, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 4, 4, 7, 7, 4, 4, 5, 7, 8, 6, 6, 8, 8, 7, 9, 9, 5, 5, 9, 10, 9, 4, 4, 7, 8, 8, 8, 8, 6, 4, 4, 7, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 8, 8, 8, 4, 4, 6, 6, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 10, 11, 11, 10, 9, 9, 8, 4, 4, 5, 8, 8, 7, 8, 8, 7, 5, 5, 9, 8, 8, 11, 11, 10, 11, 10, 6, 6, 7, 10, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 15, 14, 15, 15, 14, 13, 11, 12, 12, 11, 14, 14, 13, 14, 14, 13, 14, 14, 13, 14, 12, 13, 12, 12, 11, 8, 8, 12, 11, 12, 11, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 5, 5, 5, 5, 6, 5, 1, 2, 2, 2, 2, 7, 7, 7, 6, 7, 7, 6, 6, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 5, 5, 0, 0, 1, 1, 1, 2, 5, 5, 0, 1, 2, 0, 0, 3, 3, 1, 0, 1, 1, 3, 3, 0, 1, 2, 3, 3, 0, 0, 2, 0, 6, 6, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 3, 3, 2, 6, 6, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 1, 4, 4, 4, 0, 1, 1, 1, 0, 0, 2, 1, 2, 4, 4, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 4, 4, 0, 2, 2, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 4, 4, 3, 0, 0, 0, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 3, 2, 3, 5, 1, 3, 3, 0, 0, 2, 1, 0, 7, 7, 0, 0, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 1, 1, 1, 7, 4, 4, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5237, 203, 1070, 622, 2215, 1188, 622, 2215, 203, 465, 2322, 203, 465, 316, 203, 19794, 81, 31388, 81, 7383, 280, 2706, 34, 37, 37, 77, 35, 95, 20, 203, 19794, 81, 31388, 81, 3285, 280, 2706, 34, 37, 37, 77, 34, 95, 20, 203, 823, 3659, 44, 284, 665, 1156, 1664, 3207, 784, 30, 11692, 30, 636, 30, 5585, 30, 4118, 30, 739, 81, 8232, 30, 1244, 30, 13489, 7668, 30, 7171, 30, 4131, 711, 291, 1201, 646, 636, 438, 1665, 291, 630, 32, 11371, 280, 11692, 291, 630, 32, 426, 280, 636, 291, 630, 32, 3801, 280, 5585, 291, 630, 32, 3922, 280, 4118, 291, 630, 32, 470, 81, 8232, 280, 739, 81, 8232, 291, 630, 32, 1536, 280, 1244, 291, 630, 32, 14806, 7668, 280, 13489, 7668, 291, 630, 32, 13966, 280, 7171, 291, 630, 32, 2853, 280, 4131, 291, 630, 32, 853, 280, 1665, 291, 630, 32, 853, 81, 15813, 280, 3177, 291, 630, 32, 4254, 318, 81, 11371, 280, 1847, 26, 36, 30, 2069, 26, 11371, 490, 319, 20514, 474, 11692, 284, 665, 739, 81, 853, 26, 784, 30, 786, 30, 3185, 47, 1815, 711, 291, 1596, 44, 324, 630, 32, 853, 280, 630, 32, 3922, 32, 2208, 26, 853, 27, 415, 3185, 813, 786, 324, 630, 32, 853, 81, 15813, 280, 2933, 291, 2940, 3659, 984, 30, 484, 44, 324, 3636, 3659, 984, 440, 12014, 372, 3185, 2470, 904, 101, 10027, 101, 711, 904, 101, 20, 904, 308, 784, 32, 4254, 318, 81, 11371, 30, 630, 32, 3801, 30, 484, 490, 284, 665, 739, 81, 1536, 26, 784, 711, 291, 415, 646, 630, 32, 1536, 438, 1665, 44, 324, 630, 32, 853, 280, 630, 32, 1536, 284, 665, 9967, 81, 3385, 81, 1536, 26, 784, 30, 4533, 711, 291, 1596, 44, 324, 415, 6937, 26, 784, 32, 1536, 30, 3659, 3487, 27, 461, 646, 630, 32, 853, 81, 15813, 44, 400, 630, 32, 853, 280, 630, 32, 1536, 32, 13697, 26, 2121, 27, 400, 415, 646, 630, 32, 3922, 32, 297, 81, 681, 26, 784, 32, 853, 711, 528, 3636, 3659, 984, 440, 7672, 1056, 904, 101, 438, 646, 432, 2091, 827, 10027, 101, 4731, 904, 308, 784, 32, 853, 30, 630, 32, 3922, 32, 371, 81, 681, 81, 466, 5156, 291, 2940, 3268, 30, 484, 44, 324, 3636, 3659, 984, 440, 12014, 372, 739, 1244, 786, 436, 2470, 904, 101, 10027, 101, 711, 904, 101, 20, 904, 308, 784, 32, 4254, 318, 81, 11371, 30, 630, 32, 3801, 30, 484, 490, 284, 665, 622, 81, 466, 81, 853, 26, 784, 30, 622, 81, 1536, 81, 466, 47, 2700, 711, 291, 909, 280, 630, 32, 853, 291, 415, 622, 81, 1536, 81, 466, 44, 909, 280, 630, 32, 1536, 291, 415, 909, 438, 1665, 44, 442, 3330, 291, 415, 6937, 26, 695, 30, 3659, 3487, 711, 324, 442, 909, 32, 3385, 291, 442, 630, 32, 3922, 32, 452, 81, 800, 26, 695, 27, 203, 823, 11024, 2825, 44, 284, 48829, 81, 14127, 2916, 280, 225, 35, 284, 48829, 81, 12344, 280, 225, 36, 284, 48829 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 4, 4, 4, 4, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 10, 11, 10, 10, 12, 13, 12, 8, 8, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 5, 5, 9, 10, 8, 8, 12, 13, 11, 12, 11, 12, 11, 9, 9, 9, 9, 6, 6, 9, 10, 10, 10, 8, 8, 5, 5, 6, 7, 6, 6, 6, 6, 6, 8, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 14, 13, 14, 14, 14, 14, 12, 12, 13, 14, 12, 12, 12, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 8, 9, 7, 7, 5, 5, 5, 9, 10, 8, 8, 9, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 7, 10, 12, 11, 12, 10, 10, 11, 10, 8, 8, 9, 10, 11, 11, 11, 7, 7, 7, 11, 12, 10, 10, 13, 14, 12, 13, 12, 13, 12, 8, 8, 9, 10, 13, 14, 12, 13, 13, 13, 12, 14, 13, 14, 12, 9, 9, 11, 13, 13, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 17, 16, 17, 15, 15, 18, 19, 17, 18, 18, 18, 18, 18, 17, 5, 5, 6, 6, 6, 6, 6, 6, 8, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 14, 13, 14, 14, 14, 14, 12, 12, 13, 14, 12, 12, 12, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 6, 6, 6, 6, 5, 6, 4, 3, 3, 6, 6, 7, 8, 4, 4, 5, 6, 6, 6, 6, 5, 5, 8, 8, 9, 10, 4, 4, 5, 6, 6, 5, 5, 7, 4, 4, 5, 7, 8, 7, 7, 8, 7, 5, 5, 7, 8, 9, 4, 4, 5, 8, 9, 7, 8, 8, 8, 7, 8, 7, 0, 1, 1, 2, 1, 1, 1, 5, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 6, 6, 6, 6, 6, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 11, 11, 2, 2, 2, 2, 15, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 3, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 3, 1, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 3, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 4, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 3, 2, 2, 4, 4, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 4, 4, 2, 1, 1, 2, 2, 0, 4, 4, 3, 1, 1, 1, 1, 3, 1, 3, 3, 0, 1, 2, 4, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 7, 7, 1, 7, 7, 7, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 2, 3, 3 ]
[ 1070, 1869, 459, 1188, 319, 203, 823, 559, 14321, 10352, 96, 1525, 4943, 367, 26, 68, 4045, 711, 284, 25060, 280, 313, 641, 555, 1499, 32, 12761, 1328, 22220, 32, 1088, 33, 5043, 33, 14321, 107, 26350, 685, 4943, 367, 5681, 284, 1984, 647, 280, 313, 641, 555, 2912, 32, 12761, 1328, 22220, 32, 1088, 33, 5043, 33, 14321, 107, 26350, 685, 4943, 367, 20, 284, 1503, 463, 35, 32, 36, 36, 32, 34, 370, 5554, 1057, 641, 555, 2912, 32, 12761, 1328, 22220, 32, 1088, 33, 5043, 33, 14321, 107, 26350, 685, 4943, 367, 370, 4583, 1057, 34, 1919, 41, 42, 88, 42, 36, 42, 40, 38, 43, 38, 41, 35, 35, 83, 36, 37, 43, 981, 34, 2653, 39, 42, 41, 84, 34, 286, 38, 41, 85, 35, 39, 86, 37, 683, 284, 12428, 81, 267, 463, 100, 50, 37, 32, 38, 32, 34, 44, 37, 32, 38, 32, 43, 370, 1412, 1057, 50, 35, 32, 36, 36, 32, 34, 683, 284, 12428, 81, 267, 463, 100, 31, 5101, 107, 370, 827, 37346, 1832, 370, 330, 1945, 2847, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 4, 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, 7, 7, 7, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 7, 7, 7, 7, 7, 5, 6, 9, 9, 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 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 2, 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 ]
[ 465, 5237, 30, 2322, 203, 3731, 32, 983, 32, 1689, 26, 500, 32, 983, 32, 21379, 3949, 2847, 203, 9081, 280, 2107, 43319, 81, 4466, 81, 6580, 299, 785, 203, 8881, 81, 983, 280, 2107, 32, 8881, 785, 203, 1855, 81, 12420, 280, 5608, 9632, 25, 203, 2590, 81, 1427, 280, 330, 1055, 25, 203, 2250, 280, 1044, 25, 5177, 21359, 25, 203, 11794, 280, 1044, 25, 36, 34, 35, 35, 30, 39042, 29214, 748, 96, 25, 203, 1648, 280, 330, 39, 32, 34, 25, 203, 3779, 280, 330, 39, 32, 34, 32, 34, 25, 203, 10444, 81, 21608, 280, 2107, 32, 1832, 785, 203, 978, 32725, 81, 1621, 280, 330, 26275, 25, 203, 916, 81, 4661, 280, 330, 1536, 25, 203, 916, 81, 1574, 81, 983, 280, 2107, 32, 1574, 785, 203, 916, 4756, 81, 15705, 280, 330, 5177, 21359, 1427, 25, 203, 24189, 81, 17274, 280, 428, 334, 2726, 1055, 370, 330, 5177, 21359, 32, 8581, 370, 1044, 25, 5177, 21359, 12217, 370, 664, 1044, 25, 22865, 704, 29214, 748, 96, 370, 330, 12505, 1425, 203, 79, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5, 4, 5, 3, 4, 3, 7, 6, 7, 5, 6, 5, 7, 0, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 35744, 41137, 1943, 1188, 319, 203, 465, 2322, 203, 465, 1133, 203, 589, 6983, 26, 1275, 30, 2925, 30, 9486, 30, 2458, 30, 19646, 30, 1644, 30, 2273, 711, 203, 202, 85, 272, 106, 280, 37814, 14541, 2458, 31, 2925, 4165, 36, 203, 202, 85, 43347, 280, 24262, 14541, 19646, 31, 9486, 4165, 36, 203, 202, 2390, 106, 47, 1644, 33, 36, 203, 202, 2460, 834, 280, 2384, 33, 36, 203, 202, 5457, 280, 1133, 32, 1003, 346, 474, 225, 39, 203, 202, 1216, 440, 893, 4193, 884, 499, 392, 4193, 106, 30, 2460, 834, 27, 203, 202, 4126, 36, 32, 7207, 26, 1275, 30, 308, 2390, 106, 30, 2460, 834, 471, 225, 38, 30, 308, 34, 30, 34, 30, 35, 36, 37, 471, 31384, 47, 37, 30, 1628, 620, 47, 41, 30, 5733, 47, 34, 27, 15773, 202, 4126, 36, 32, 7207, 26, 1275, 30, 308, 85, 272, 106, 30, 85, 43347, 471, 225, 38, 30, 308, 34, 30, 36, 37, 36, 30, 35, 36, 37, 471, 31384, 47, 35, 30, 1628, 620, 47, 41, 30, 5733, 47, 34, 27, 15773, 202, 4126, 36, 32, 23836, 26, 1275, 30, 308, 410, 26, 2390, 106, 31, 2460, 834, 33, 38, 471, 9334, 834, 29, 2390, 106, 33, 39, 471, 308, 410, 26, 2390, 106, 29, 2460, 834, 33, 38, 471, 9334, 834, 31, 2390, 106, 33, 39, 471, 308, 36, 39, 39, 30, 225, 35, 36, 37, 30, 225, 35, 35, 471, 225, 37, 27, 34566, 202, 325, 281, 272, 106, 333, 4193, 106, 31, 2460, 834, 33, 38, 44, 12181, 357, 202, 1216, 2884, 6098, 11569, 657, 357, 202, 1216, 2884, 1873, 461, 2091, 28116, 392, 26, 2390, 106, 31, 2460, 834, 33, 37, 30, 2390, 106, 29, 2460, 834, 33, 37, 490, 357, 202, 2760, 1057, 3679, 25, 357, 202, 881, 280, 308, 2925, 29, 36, 30, 9486, 14541, 19646, 31, 9486, 4165, 36, 27, 357, 202, 4126, 36, 32, 524, 1031, 26, 1275, 30, 10475, 30, 2587, 1717, 6677, 36, 32, 5918, 81, 3184, 27951, 75, 81, 22537, 15156, 30, 225, 35, 30, 308, 35, 36, 37, 30, 36, 39, 39, 30, 36, 39, 39, 471, 225, 37, 27, 203, 202, 325, 308, 85, 272, 106, 848, 4193, 106, 31, 2460, 834, 33, 38, 461, 281, 272, 106, 333, 4193, 106, 29, 2460, 834, 33, 38, 711, 3162, 357, 202, 1216, 2884, 2390, 657, 357, 202, 2760, 280, 313, 7056, 20, 357, 202, 881, 280, 308, 2925, 30, 9486, 29, 36, 27, 357, 202, 4126, 36, 32, 524, 1031, 26, 1275, 30, 10475, 30, 2587, 1717, 6677, 36, 32, 5918, 81, 3184, 27951, 75, 81, 22537, 15156, 30, 225, 35, 30, 308, 36, 39, 39, 30, 36, 39, 39, 30, 35, 36, 37, 471, 225, 37, 27, 203, 202, 325, 308, 85, 272, 106, 848, 4193, 106, 29, 2460, 834, 33, 38, 711, 3162, 357, 202, 1216, 2884, 6098, 12307, 657, 357, 202, 2760, 280, 313, 4046, 20, 357, 202, 881, 280, 308, 2925, 30, 9486, 29, 36, 27, 357, 202, 4126, 36, 32, 524, 1031, 26, 1275 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 5, 9, 8, 9, 7, 7, 2, 2, 5, 5, 4, 4, 5, 9, 8, 9, 7, 7, 2, 2, 5, 5, 4, 6, 5, 6, 2, 2, 5, 5, 4, 4, 5, 6, 2, 2, 5, 4, 4, 7, 8, 7, 5, 5, 6, 2, 2, 5, 5, 7, 7, 7, 7, 7, 5, 6, 5, 6, 6, 5, 2, 2, 6, 6, 5, 6, 5, 6, 5, 5, 7, 7, 6, 7, 7, 6, 5, 6, 5, 5, 7, 6, 7, 6, 7, 7, 7, 6, 5, 6, 7, 5, 5, 7, 6, 7, 5, 5, 6, 7, 5, 2, 2, 6, 6, 5, 6, 5, 6, 5, 5, 7, 7, 7, 6, 7, 7, 6, 5, 6, 5, 5, 7, 6, 7, 7, 7, 6, 7, 7, 7, 6, 5, 6, 7, 5, 5, 7, 6, 7, 5, 5, 6, 7, 5, 2, 2, 6, 6, 5, 6, 5, 6, 5, 5, 8, 8, 10, 10, 9, 11, 11, 10, 11, 8, 6, 8, 7, 9, 9, 8, 9, 6, 5, 8, 8, 10, 10, 9, 11, 11, 10, 11, 8, 6, 8, 7, 9, 9, 8, 9, 6, 5, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 6, 5, 6, 5, 2, 2, 3, 3, 5, 5, 4, 4, 6, 5, 7, 7, 6, 7, 3, 3, 3, 3, 7, 6, 9, 9, 9, 4, 4, 7, 6, 9, 9, 9, 9, 9, 8, 10, 10, 9, 11, 11, 10, 11, 8, 10, 10, 9, 11, 11, 10, 11, 8, 4, 4, 7, 6, 8, 8, 4, 4, 7, 6, 6, 9, 8, 9, 7, 9, 8, 12, 11, 12, 10, 10, 7, 4, 4, 8, 8, 7, 8, 8, 7, 8, 7, 7, 7, 7, 7, 7, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 7, 7, 9, 9, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 7, 8, 7, 2, 2, 3, 3, 7, 7, 7, 6, 6, 8, 7, 9, 9, 8, 9, 5, 5, 7, 7, 6, 6, 8, 7, 9, 9, 8, 9, 4, 3, 3, 3, 7, 6, 9, 9, 4, 4, 7, 6, 6, 8, 8, 4, 4, 7, 6, 6, 8, 7, 9, 8, 9, 7, 4, 4, 8, 8, 7, 8, 8, 7, 8, 7, 7, 7, 7, 7, 7, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 7, 7, 9, 9, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 7, 8, 7, 2, 2, 3, 3, 6, 6, 6, 5, 5, 7, 6, 8, 8, 7, 8, 4, 3, 3, 3, 7, 6, 9, 9, 9, 4, 4, 7, 6, 6, 8, 8, 4, 4, 7, 6, 6, 8, 7, 9, 8, 9, 7, 4, 4, 8, 8, 7, 8, 8, 7, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 2, 1, 2, 3, 2, 5, 2, 7, 2, 9, 2, 11, 2, 13, 2, 3, 3, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 4, 4, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 2, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 1, 3, 1, 5, 5, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 5, 1, 1, 1, 7, 3, 7, 5, 5, 5, 7, 1, 9, 2, 1, 1, 0, 11, 2, 1, 1, 13, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 5, 1, 1, 1, 7, 3, 3, 3, 7, 5, 5, 5, 7, 1, 9, 2, 1, 1, 0, 11, 2, 1, 1, 13, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 3, 0, 3, 0, 0, 2, 2, 3, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 5, 0, 3, 0, 0, 2, 2, 5, 1, 1, 1, 1, 7, 7, 3, 3, 3, 7, 7, 5, 5, 7, 1, 9, 1, 4, 4, 9, 9, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 9, 9, 9, 9, 0, 0, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 2, 3, 0, 0, 1, 0, 0, 2, 2, 3, 0, 0, 3, 0, 0, 2, 2, 3, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 1, 2, 2, 0, 3, 0, 1, 2, 0, 2, 2, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 7, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 9, 1, 1, 1, 1, 1, 11, 3, 3, 3, 11, 5, 5, 5, 11, 1, 13, 1, 4, 4, 10, 10, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 10, 10, 10, 0, 0, 1, 2, 3, 3, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 1, 2, 0, 3, 2, 2, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 7, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 9, 1, 1, 1, 1, 1, 11, 3, 3, 3, 11, 5, 5, 5, 11, 1, 13, 1, 4, 4, 11, 11, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 11, 11, 11, 0, 0, 1, 1, 2, 3, 3, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 1, 2, 0, 3, 2, 2, 3, 3, 0, 0, 0, 2, 2, 1, 1 ]
[ 109, 284, 330, 426, 950, 313, 2961, 399, 41142, 392, 284, 330, 1367, 950, 1524, 16787, 5683, 2052, 37616, 284, 330, 2116, 950, 313, 72, 11416, 604, 392, 284, 330, 12787, 950, 313, 525, 555, 1499, 32, 5319, 1662, 604, 32, 508, 392, 284, 330, 3153, 950, 330, 1006, 370, 284, 330, 1648, 950, 330, 34, 32, 35, 370, 284, 330, 27263, 950, 2107, 1439, 370, 330, 2190, 370, 330, 3524, 81, 5474, 2188, 284, 330, 605, 950, 428, 291, 330, 4373, 33, 1676, 46960, 81, 4373, 32, 2593, 370, 291, 330, 4373, 33, 476, 32, 1160, 32, 3560, 32, 4700, 370, 291, 330, 1071, 33, 1676, 46960, 81, 7632, 81, 1071, 32, 2593, 370, 291, 330, 1071, 33, 1676, 46960, 81, 2848, 81, 1071, 32, 2593, 370, 291, 330, 1071, 33, 1676, 46960, 81, 15699, 81, 1071, 32, 2593, 370, 291, 330, 9874, 33, 1676, 46960, 81, 2848, 81, 9874, 32, 2593, 370, 291, 330, 3734, 33, 1676, 46960, 81, 2848, 81, 3734, 32, 2593, 370, 291, 330, 1071, 33, 1676, 46960, 81, 2848, 81, 2190, 32, 2593, 370, 291, 330, 1071, 33, 1676, 46960, 81, 3524, 81, 5474, 81, 1071, 32, 2593, 370, 284, 2505, 284, 330, 6380, 950, 428, 291, 330, 6380, 33, 6380, 32, 2593, 370, 284, 2505, 284, 330, 3789, 444, 950, 2933, 203, 111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 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, 2, 2, 5, 5, 3, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 6, 6, 4, 6, 6, 4, 6, 6, 6, 6, 2, 2, 5, 5, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 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, 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, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 3, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 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, 2, 0, 0, 1, 2, 9, 1, 2, 0, 0, 1, 2, 11, 1, 1, 1, 2, 0, 0, 1, 2, 13, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 15, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 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, 2, 17, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 7138, 1188, 7138, 30, 30784, 203, 1070, 3089, 749, 98, 1188, 4125, 30, 3829, 30, 4549, 30, 617, 203, 1070, 3089, 749, 98, 32, 4280, 1188, 4040, 81, 8094, 81, 31141, 81, 9302, 30, 1897, 81, 6055, 203, 1070, 3089, 749, 98, 32, 11452, 1188, 2680, 924, 203, 823, 46107, 2871, 26, 3378, 32, 1243, 711, 284, 617, 6815, 280, 313, 16842, 32, 1174, 20, 284, 477, 1237, 32, 1160, 284, 665, 617, 1536, 81, 26847, 81, 314, 26, 784, 711, 291, 10512, 280, 630, 32, 2121, 32, 496, 32, 6604, 81, 314, 32, 314, 291, 46383, 81, 3631, 280, 630, 32, 2121, 710, 9729, 32, 26847, 5695, 1903, 2009, 463, 6604, 81, 314, 370, 16509, 10512, 14155, 2723, 47, 35, 27, 291, 442, 46383, 81, 3631, 284, 328, 331, 3890, 280, 3829, 32, 7434, 36, 658, 463, 9729, 32, 266, 331, 13086, 370, 330, 383, 331, 13086, 370, 3049, 347, 42689, 2764, 17647, 39408, 884, 312, 9484, 432, 32681, 27663, 5955, 1654, 328, 39262, 14864, 7144, 284, 42410, 81, 6038, 280, 3829, 32, 5374, 2009, 291, 2726, 7224, 370, 330, 31808, 2504, 4054, 1412, 3304, 1425, 291, 2726, 658, 370, 330, 31808, 1169, 10052, 821, 5049, 36977, 291, 802, 1057, 22603, 15310, 370, 2129, 47, 1815, 30, 4283, 47, 1815, 30, 1244, 1057, 7224, 370, 291, 10066, 12516, 16140, 950, 41449, 12360, 370, 3177, 14155, 330, 5914, 950, 41449, 12360, 370, 3177, 2177, 1748, 284, 46383, 81, 314, 280, 3829, 32, 7434, 36, 658, 463, 9729, 32, 26847, 370, 802, 1057, 35040, 370, 291, 2129, 47, 1815, 30, 4283, 47, 1815, 30, 10066, 12516, 16140, 950, 41449, 12360, 370, 3177, 14155, 330, 5914, 950, 41449, 12360, 370, 3177, 2177, 835, 291, 1244, 11645, 1536, 81, 26847, 81, 314, 27, 284, 42410, 81, 3631, 280, 3829, 32, 7434, 36, 11374, 463, 9729, 32, 8800, 299, 370, 7596, 40547, 7924, 81, 8800, 299, 81, 3631, 370, 802, 1057, 14686, 299, 5746, 372, 458, 25943, 683, 284, 18198, 81, 998, 280, 3829, 32, 3061, 26, 800, 1057, 14996, 38056, 370, 7596, 40547, 7924, 81, 8800, 299, 81, 3631, 683, 284, 477, 1237, 32, 6844, 284, 477, 1237, 32, 27263, 463, 6789, 513, 469, 81, 1363, 81, 314, 683, 284, 665, 617, 7924, 81, 8800, 299, 81, 3631, 26, 784, 711, 291, 436, 2532, 328, 630, 44, 324, 2532, 32, 8800, 299, 81, 3631, 280, 630, 32, 2121, 710, 9729, 32, 8800, 299, 5695, 1903, 2009, 463, 1363, 81, 314, 370, 16509, 2532, 32, 6789, 513, 469, 81, 1363, 81, 314, 32, 314, 14829, 415, 2532, 32, 6789, 513, 469, 81, 1363, 81, 314, 813, 1605, 324, 2532, 32, 15480, 81, 998, 280, 2069, 26, 1174, 32, 8800, 299, 81, 3631, 27, 284, 477, 1237, 32, 267, 2342, 463, 26847, 81, 314, 683, 284, 665, 617, 267, 2342, 81, 26847, 81, 314, 26, 784, 711, 291, 415, 630, 32, 26847, 81, 314, 32, 6604, 81, 314, 44, 324, 630, 32, 6604, 81, 314, 280, 630, 32, 26847, 81, 314, 32, 6604, 81, 314, 32, 314, 284, 477, 1237, 32, 6844, 284, 665, 2125, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 11, 12, 10, 11, 9, 10, 10, 10, 8, 9, 5, 5, 8, 8, 7, 7, 11, 12, 10, 12, 12, 12, 12, 10, 9, 11, 13, 13, 13, 13, 11, 11, 11, 9, 10, 11, 9, 5, 5, 6, 7, 7, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 6, 6, 7, 9, 9, 9, 6, 7, 8, 6, 6, 7, 8, 6, 6, 7, 9, 9, 6, 6, 7, 11, 11, 9, 13, 13, 11, 11, 8, 11, 11, 9, 13, 13, 11, 11, 8, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 6, 7, 9, 9, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 7, 11, 11, 9, 13, 13, 11, 11, 8, 11, 11, 9, 13, 13, 11, 11, 8, 6, 6, 7, 8, 8, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 9, 6, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 6, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 6, 5, 6, 3, 3, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 10, 11, 11, 11, 11, 9, 9, 14, 15, 13, 15, 15, 15, 15, 15, 13, 12, 14, 16, 16, 16, 16, 14, 14, 16, 17, 17, 17, 17, 17, 17, 17, 15, 16, 14, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 10, 10, 7, 7, 10, 11, 11, 11, 9, 9, 11, 13, 12, 13, 13, 13, 13, 11, 2, 2, 7, 6, 7, 7, 6, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 8, 9, 9, 9, 7, 8, 8, 8, 6, 6, 6, 10, 11, 11, 11, 9, 9, 12, 13, 13, 13, 11, 12, 12, 12, 10, 11, 2, 2, 6, 5, 6, 3, 3, 4, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 4, 4, 1, 2, 0, 1, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 2, 1, 5, 2, 1, 1, 7, 2, 1, 1, 9, 1, 2, 1, 1, 11, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 3, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 9, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 3, 1, 2, 1, 1, 2, 1, 1, 11, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 7, 7, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 5, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 2, 8, 8, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 4, 4, 0, 1, 2, 9, 9, 1, 1 ]
[ 1070, 8527, 32, 1262, 32, 9331, 32, 1439, 1188, 9286, 2019, 203, 1070, 2919, 2208, 1188, 1930, 81, 1762, 203, 1070, 11581, 32, 9331, 32, 10331, 1188, 622, 81, 3245, 30, 1459, 81, 10331, 203, 823, 5718, 26, 2168, 2019, 711, 284, 2470, 81, 668, 280, 9286, 2019, 32, 1762, 81, 668, 474, 308, 291, 1930, 81, 1762, 12664, 668, 370, 6470, 94, 370, 2125, 347, 2157, 81, 1508, 392, 3466, 347, 668, 81, 10331, 392, 324, 3049, 347, 720, 1169, 13179, 623, 2017, 3048, 2113, 291, 1930, 81, 1762, 12664, 10529, 370, 6470, 104, 370, 2125, 347, 2157, 81, 1508, 392, 3466, 347, 10529, 392, 324, 3049, 347, 18677, 5218, 2113, 284, 829, 284, 3049, 280, 313, 2529, 312, 3982, 24514, 3992, 3107, 284, 2181, 280, 7185, 725, 81, 426, 79, 3992, 81, 426, 20, 284, 2266, 280, 3330, 284, 7171, 81, 1160, 81, 6460, 280, 2933, 284, 665, 1420, 3245, 26, 784, 30, 1123, 81, 426, 30, 3992, 81, 426, 30, 2075, 711, 291, 415, 2075, 32, 371, 463, 10529, 370, 3177, 711, 324, 1459, 313, 32759, 3992, 44, 904, 101, 308, 725, 44, 904, 101, 4731, 904, 308, 3245, 81, 426, 30, 1123, 81, 426, 27, 291, 1596, 44, 324, 3992, 280, 622, 81, 3245, 26, 725, 81, 426, 30, 3992, 81, 426, 27, 291, 2940, 25085, 30, 484, 44, 324, 415, 1123, 81, 426, 44, 400, 1459, 313, 924, 44, 9205, 904, 101, 436, 1845, 557, 814, 904, 101, 646, 2431, 20, 904, 308, 725, 81, 426, 30, 3992, 81, 426, 27, 324, 813, 44, 400, 1459, 313, 924, 44, 9205, 904, 101, 646, 2431, 20, 904, 3992, 81, 426, 324, 1459, 313, 4391, 429, 94, 2470, 372, 2202, 1169, 322, 3304, 13179, 20, 324, 442, 291, 1596, 44, 324, 3992, 922, 4526, 346, 291, 2940, 3268, 30, 484, 44, 324, 1188, 27374, 324, 1459, 313, 2930, 546, 2201, 3360, 54, 1236, 41743, 44, 904, 101, 308, 6870, 44, 904, 101, 4731, 904, 308, 3245, 81, 426, 30, 1123, 81, 426, 27, 324, 1459, 313, 7383, 20948, 8803, 1924, 324, 27374, 32, 1216, 81, 14806, 346, 324, 1459, 313, 3285, 20948, 8803, 78, 96, 20, 284, 665, 2887, 26, 784, 30, 319, 1132, 30, 1115, 2184, 711, 291, 1123, 81, 426, 280, 1665, 291, 3992, 81, 426, 280, 1665, 291, 415, 2069, 26, 1132, 19162, 35, 44, 324, 3992, 81, 426, 280, 2181, 77, 34, 79, 291, 4348, 2069, 26, 1132, 19162, 36, 44, 324, 1123, 81, 426, 30, 3992, 81, 426, 280, 2181, 291, 415, 2075, 32, 371, 463, 668, 81, 10331, 7831, 324, 1459, 81, 10331, 26, 2585, 81, 25383, 47, 2700, 30, 2519, 81, 6036, 47, 1815, 30, 2519, 81, 725, 426, 47, 1815, 27, 291, 813, 44, 324, 415, 646, 3992, 81, 426, 44, 400, 1459, 313, 2529, 312, 3982, 24514, 3992, 32, 5294, 6377, 322, 636, 432, 322, 3992, 3107, 400, 442, 324, 630, 32, 1945, 3245, 26, 725, 81, 426, 30, 3992, 81, 426, 30, 2075, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 7, 6, 7, 7, 7, 5, 5, 6, 6, 8, 8, 8, 10, 10, 8, 10, 10, 8, 9, 11, 11, 11, 11, 8, 9, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 6, 6, 8, 8, 8, 10, 10, 8, 10, 10, 8, 9, 11, 11, 11, 11, 8, 9, 11, 11, 8, 8, 9, 11, 11, 11, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 9, 9, 7, 7, 5, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 9, 9, 10, 10, 9, 4, 4, 5, 5, 5, 8, 8, 10, 10, 10, 11, 11, 11, 10, 10, 11, 11, 10, 5, 5, 6, 6, 6, 6, 6, 6, 8, 9, 9, 8, 8, 8, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 12, 12, 13, 13, 12, 8, 8, 9, 9, 9, 11, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 13, 13, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 5, 5, 5, 11, 10, 9, 5, 5, 6, 6, 6, 6, 6, 6, 8, 7, 7, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 10, 10, 11, 11, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 10, 11, 11, 11, 10, 7, 7, 8, 10, 10, 10, 11, 11, 10, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 7, 6, 6, 4, 4, 7, 7, 6, 6, 4, 4, 5, 8, 9, 8, 7, 5, 5, 5, 9, 9, 8, 8, 9, 10, 9, 5, 5, 6, 9, 10, 9, 8, 6, 6, 6, 11, 11, 10, 10, 11, 11, 9, 9, 4, 4, 5, 7, 8, 7, 9, 9, 9, 9, 5, 5, 9, 9, 9, 11, 11, 11, 10, 11, 9, 9, 11, 11, 10, 11, 9, 9, 11, 11, 11, 10, 11, 9, 5, 5, 6, 6, 6, 8, 9, 10, 10, 8, 8, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 7, 7, 10, 11, 11, 10, 11, 11, 11, 10, 10, 11, 11, 10, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 7, 1, 1, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 7, 1, 2, 1, 1, 9, 1, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 5, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 5, 5, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 4, 4, 2, 2, 2, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 0, 5, 5, 1, 1, 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, 5, 5, 2, 1, 1, 1, 1, 5, 5, 0, 2, 2, 2, 1, 5, 5, 4, 1, 1, 1, 0, 0, 2, 4, 4, 6, 2, 1, 2, 2, 1, 2, 2, 1, 2, 6, 6, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 1, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 3, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 0, 0, 0, 5, 2, 1, 3, 3, 4, 4, 4, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 1133, 203, 1070, 7138, 1188, 7138, 203, 1070, 2340, 1040, 32, 9535, 6558, 1188, 6491, 6558, 203, 1070, 3089, 749, 98, 1188, 4125, 30, 3829, 30, 4549, 30, 617, 203, 1070, 3089, 749, 98, 32, 11452, 1188, 2680, 924, 203, 823, 9035, 51, 3886, 33991, 10312, 26, 3378, 32, 28538, 1243, 711, 284, 617, 426, 280, 330, 3524, 32, 4838, 32, 22402, 32, 10401, 25, 284, 617, 6815, 280, 330, 3524, 32, 2282, 32, 15699, 32, 3734, 25, 284, 617, 2310, 280, 330, 3341, 399, 3886, 394, 12539, 14025, 9082, 25, 284, 7918, 81, 1322, 280, 3829, 32, 3061, 26, 800, 1057, 7754, 16785, 308, 6124, 7243, 2129, 47, 1815, 30, 1244, 47, 37, 34, 27, 284, 16366, 81, 3631, 280, 3829, 32, 7434, 36, 11374, 463, 3524, 32, 14431, 370, 802, 1057, 9746, 41277, 370, 2129, 47, 1815, 27, 284, 2340, 81, 1070, 280, 3829, 32, 1547, 26, 1536, 47, 5962, 319, 83, 44, 1133, 32, 20834, 15339, 75, 9299, 95, 9299, 86, 2847, 284, 665, 617, 1216, 81, 3734, 26, 784, 30, 706, 711, 291, 736, 280, 2149, 291, 706, 280, 630, 32, 1001, 81, 1216, 81, 3734, 26, 605, 27, 291, 706, 710, 599, 5695, 1877, 26, 784, 32, 850, 4901, 8438, 81, 1322, 3490, 77, 34, 1130, 291, 7918, 81, 1322, 280, 706, 710, 599, 4902, 8438, 81, 1322, 785, 291, 415, 7918, 81, 1322, 10040, 34, 44, 324, 3636, 2680, 924, 2176, 463, 4282, 2298, 739, 312, 7918, 3104, 10761, 2784, 225, 34, 32, 2847, 291, 415, 646, 706, 710, 599, 4902, 770, 81, 1070, 12132, 324, 3636, 2680, 924, 2176, 463, 4282, 2298, 739, 312, 1477, 2340, 32, 2847, 291, 1477, 280, 7138, 32, 44832, 26, 605, 710, 599, 4902, 770, 81, 1070, 2188, 5461, 75, 9299, 95, 9299, 86, 657, 291, 436, 595, 328, 2155, 26, 39, 5594, 23523, 35, 2786, 324, 4719, 280, 1477, 429, 6491, 6558, 26, 6124, 47, 8438, 81, 1322, 27, 324, 736, 77, 466, 26, 91, 2177, 280, 301, 400, 330, 426, 950, 308, 91, 6901, 34, 461, 308, 466, 1162, 39, 7374, 91, 29, 35, 490, 319, 7918, 81, 1322, 27, 474, 20514, 474, 596, 1162, 39, 31, 91, 27, 319, 7918, 81, 1322, 490, 556, 2726, 6897, 29, 466, 26, 38, 319, 7918, 81, 1322, 20092, 400, 330, 4048, 950, 1477, 32, 20834, 15339, 75, 9299, 95, 9299, 86, 1425, 400, 330, 1366, 950, 308, 91, 6901, 34, 461, 4719, 32, 20834, 15339, 75, 9299, 95, 9299, 86, 683, 556, 3177, 471, 324, 320, 324, 1477, 280, 4719, 429, 6491, 6558, 26, 6124, 47, 35, 27, 291, 706, 710, 599, 5695, 1877, 26, 575, 27, 291, 442, 630, 32, 2121, 710, 3734, 5695, 1793, 81, 1819, 26, 6803, 10946, 47, 1815, 547, 371, 81, 1141, 26, 784, 30, 330, 3524, 32, 3734, 81, 4838, 15699, 10401, 370, 706, 47, 605, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 6, 7, 8, 6, 6, 7, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 6, 7, 9, 9, 9, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 8, 11, 8, 8, 10, 11, 10, 12, 12, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 8, 10, 10, 8, 7, 11, 10, 11, 10, 13, 13, 13, 13, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 10, 10, 9, 9, 9, 9, 4, 4, 5, 7, 7, 6, 7, 5, 5, 5, 7, 9, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 4, 4, 5, 6, 8, 10, 10, 9, 9, 9, 9, 5, 5, 7, 9, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13, 4, 4, 6, 6, 8, 9, 8, 11, 10, 12, 12, 11, 11, 11, 11, 8, 10, 10, 10, 10, 10, 10, 4, 4, 5, 5, 5, 8, 9, 8, 7, 9, 6, 5, 5, 8, 8, 9, 9, 11, 11, 13, 12, 13, 13, 13, 11, 6, 6, 9, 11, 11, 12, 11, 8, 8, 9, 9, 12, 12, 10, 15, 14, 15, 13, 13, 18, 18, 22, 21, 24, 23, 24, 22, 19, 19, 20, 20, 18, 16, 16, 15, 15, 17, 21, 20, 21, 19, 18, 18, 19, 19, 17, 12, 12, 16, 14, 16, 16, 18, 17, 17, 18, 18, 16, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 14, 14, 14, 9, 9, 12, 12, 10, 15, 14, 15, 13, 13, 15, 16, 15, 17, 17, 17, 17, 17, 17, 12, 12, 11, 9, 9, 6, 6, 8, 8, 9, 9, 11, 11, 13, 12, 13, 11, 4, 4, 8, 10, 10, 8, 7, 8, 7, 4, 4, 5, 11, 12, 10, 12, 12, 10, 10, 10, 9, 11, 11, 10, 11, 9, 8, 8, 8, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 9, 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 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 5, 5, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 1, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 4, 4, 4, 0, 0, 1, 2, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 0, 1, 2, 1, 1, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 7, 7, 7, 1, 1, 1, 2, 1, 3, 7, 7, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 5, 5, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 3, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 5, 5, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 4, 4, 0, 1, 2, 2, 1, 1, 1, 4, 4, 9, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 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 ]
[ 465, 2322, 203, 465, 20536, 103, 3291, 619, 3920, 203, 1070, 6765, 17594, 32, 3527, 32, 9353, 1188, 308, 284, 38604, 81, 13777, 30, 284, 38604, 81, 13777, 81, 5807, 30, 284, 48923, 81, 20740, 30, 284, 3772, 6253, 1183, 30, 203, 27, 203, 1070, 6765, 17594, 32, 913, 1188, 45623, 81, 18829, 203, 465, 6765, 17594, 32, 8774, 32, 1163, 81, 6460, 619, 6677, 203, 465, 6765, 17594, 32, 1040, 32, 2632, 619, 8793, 81, 1040, 203, 14594, 81, 14880, 280, 313, 5561, 20, 203, 20753, 81, 20740, 280, 48923, 81, 20740, 32, 8233, 26, 284, 301, 291, 3920, 32, 5413, 26, 14594, 81, 18829, 711, 6677, 32, 800, 30, 291, 3920, 32, 7556, 26, 14594, 81, 14880, 30, 1244, 47, 2700, 711, 6677, 32, 4398, 30, 284, 320, 203, 27, 203, 589, 622, 81, 2122, 26, 31667, 30, 1359, 30, 21067, 81, 1338, 47, 2521, 711, 284, 4870, 280, 1359, 77, 14594, 81, 18829, 79, 284, 6341, 280, 1359, 77, 14594, 81, 14880, 79, 284, 442, 2032, 6253, 1183, 26, 31667, 30, 4870, 30, 6341, 27, 203, 823, 2032, 6253, 1183, 26, 1761, 6253, 1183, 711, 284, 665, 1156, 1664, 3207, 784, 30, 35741, 30, 4870, 30, 1015, 81, 5561, 711, 291, 630, 32, 13425, 280, 2322, 32, 983, 32, 2524, 26, 31667, 32, 1163, 32, 1163, 81, 1515, 30, 4870, 27, 291, 630, 32, 669, 81, 5561, 280, 1015, 81, 5561, 284, 665, 3240, 81, 1436, 26, 784, 30, 1474, 20706, 1115, 5321, 711, 291, 623, 2156, 26, 784, 32, 13425, 30, 313, 83, 657, 619, 803, 44, 324, 415, 2322, 32, 4597, 26, 784, 32, 13425, 547, 270, 81, 891, 610, 225, 34, 44, 400, 1780, 280, 296, 9588, 5321, 32, 371, 26, 11486, 81, 13777, 30, 38604, 81, 13777, 81, 5807, 4370, 15873, 308, 1335, 7307, 44, 301, 2632, 81, 1040, 32, 44026, 922, 9328, 1643, 346, 46830, 96, 12157, 21113, 319, 225, 42, 34, 4104, 96, 20, 400, 803, 32, 1821, 26, 1311, 27, 324, 415, 630, 32, 669, 81, 5561, 44, 400, 1344, 280, 296, 9588, 2632, 81, 1040, 32, 44026, 922, 9328, 1643, 9741, 301, 1436, 4104, 96, 20, 324, 813, 44, 400, 1344, 280, 296, 9588, 1436, 4104, 96, 20, 324, 803, 32, 1821, 26, 878, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 3, 4, 4, 4, 2, 2, 0, 1, 1, 4, 3, 4, 3, 4, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 4, 5, 4, 4, 4, 5, 5, 8, 9, 8, 9, 9, 9, 8, 6, 7, 8, 5, 5, 5, 8, 9, 8, 9, 9, 9, 8, 8, 9, 10, 8, 6, 7, 8, 5, 5, 5, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 5, 6, 6, 6, 5, 2, 2, 4, 4, 5, 6, 6, 6, 5, 2, 2, 3, 5, 5, 5, 6, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 9, 10, 8, 9, 8, 11, 10, 11, 9, 10, 10, 10, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 6, 4, 3, 3, 5, 10, 12, 11, 12, 10, 10, 12, 12, 8, 8, 5, 5, 5, 7, 11, 12, 11, 13, 12, 13, 11, 10, 10, 10, 8, 8, 9, 7, 7, 7, 10, 10, 12, 15, 14, 15, 14, 15, 15, 15, 14, 14, 15, 15, 15, 15, 14, 12, 12, 12, 12, 12, 12, 17, 17, 17, 16, 17, 16, 15, 15, 14, 12, 13, 12, 15, 13, 13, 14, 14, 12, 13, 12, 8, 8, 11, 12, 11, 12, 11, 6, 6, 7, 8, 9, 9, 9, 7, 7, 7, 10, 10, 12, 17, 17, 17, 16, 17, 16, 15, 15, 14, 12, 13, 12, 13, 12, 7, 7, 8, 8, 8, 11, 11, 13, 14, 13, 14, 13, 6, 6, 9, 10, 9, 10, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 0, 2, 0, 4, 4, 4, 1, 1, 0, 5, 5, 0, 0, 2, 0, 4, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 3, 2, 2, 1, 1, 1, 1, 1, 0, 8, 8, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 8, 8, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 4, 4, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 9, 9, 1, 1, 2, 1, 1, 1, 2, 9, 9, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 3, 0, 5, 1, 1, 1, 2, 2, 5, 0, 7, 3, 3, 0, 2, 1, 1, 1, 3, 3, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 3, 0, 5, 1, 1, 4, 4, 4, 0, 0, 0, 1, 1, 0, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 15798, 32, 3613, 1188, 7502, 203, 1070, 3619, 29382, 1188, 6325, 203, 1070, 13092, 1188, 15124, 203, 1070, 13092, 1188, 29657, 203, 823, 2108, 1176, 44, 284, 617, 8539, 280, 1300, 346, 284, 477, 12940, 284, 665, 1440, 26, 784, 711, 291, 645, 420, 2983, 269, 905, 32, 1495, 1188, 5692, 1284, 291, 645, 551, 33781, 1188, 13872, 40, 38, 291, 665, 617, 1285, 21999, 26, 2067, 30, 1244, 711, 324, 415, 2830, 438, 630, 1114, 8539, 44, 400, 442, 1244, 324, 442, 2830, 291, 442, 5692, 1284, 2176, 1285, 21999, 30, 13872, 40, 38, 27, 284, 665, 894, 81, 3323, 81, 5823, 81, 8352, 26, 784, 30, 1440, 711, 291, 1440, 32, 1055, 81, 1427, 26, 34, 30, 6470, 35, 683, 291, 1440, 32, 1055, 81, 1427, 26, 37, 30, 330, 35, 34, 683, 291, 1440, 32, 1055, 81, 1427, 26, 35, 30, 330, 35, 683, 291, 1201, 428, 106, 436, 816, 328, 1440, 32, 3323, 2009, 34, 30, 225, 37, 30, 225, 35, 25456, 610, 428, 34, 30, 225, 35, 30, 225, 37, 79, 203, 823, 2108, 3564, 44, 284, 477, 12940, 284, 665, 15590, 26, 784, 711, 291, 645, 9257, 6087, 32, 11201, 1188, 42278, 291, 15590, 280, 6325, 32, 17299, 2291, 4064, 48356, 505, 47, 59, 1183, 30, 2476, 1156, 297, 81, 2122, 505, 47, 1815, 27, 291, 442, 15590, 284, 477, 12940, 284, 665, 1619, 26, 784, 30, 6929, 81, 2255, 30, 15590, 711, 291, 6929, 81, 2255, 710, 10771, 101, 785, 280, 15590, 291, 442, 6929, 81, 2255, 284, 665, 1930, 81, 658, 26, 784, 711, 291, 645, 638, 1055, 1188, 9494, 1284, 291, 1650, 280, 9494, 1284, 346, 291, 442, 1650, 284, 665, 894, 81, 1297, 26, 784, 711, 291, 645, 27847, 348, 32, 3337, 32, 6967, 1188, 6144, 959, 291, 645, 420, 2983, 269, 905, 32, 11201, 1188, 439, 1284, 291, 1440, 280, 630, 32, 2682, 81, 658, 346, 291, 1201, 439, 1284, 32, 27120, 1083, 26, 2325, 27, 291, 1201, 6144, 959, 26, 59, 1284, 30, 1440, 27, 284, 665, 894, 81, 4534, 26, 784, 711, 291, 1440, 280, 630, 32, 2682, 81, 658, 346, 291, 1440, 1114, 1206, 81, 27845, 32, 669, 26, 35, 27, 291, 1440, 32, 4534, 346, 291, 1201, 225, 35, 646, 328, 1440, 1114, 1206, 81, 27845, 284, 665, 894, 81, 2812, 81, 13707, 26, 784, 30, 1619, 30, 15590, 711, 291, 645, 9257, 6087, 32, 1040, 1188, 622, 81, 580, 291, 1440, 280, 630, 32, 2682, 81, 658, 346, 291, 15590, 710, 1055, 785, 280, 1440, 291, 1201, 1440, 32, 2812, 81, 13707, 26, 371, 81, 580, 26, 1819, 490, 610, 2726, 370, 27, 284, 665, 894, 81, 2812, 81, 13707, 81, 9785, 26, 784, 30, 1619, 30, 15590, 711, 291, 1440, 280, 630, 32, 2682, 81, 658, 346, 291, 15590, 710, 1055, 785, 280, 1440, 291, 1201, 1440, 32, 2812, 81, 13707, 26, 35, 27, 438, 1665, 284, 665, 894, 81, 1055, 81, 1427, 26, 784, 711, 276, 1440, 280, 630, 32, 2682, 81, 658, 346, 276, 1201, 1440, 32, 1055, 81, 1427, 26, 35 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 5, 4, 4, 6, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 8, 8, 7, 8, 6, 6, 8, 5, 5, 6, 8, 6, 6, 8, 8, 5, 5, 6, 7, 7, 7, 8, 7, 7, 7, 6, 6, 8, 9, 9, 10, 11, 8, 8, 8, 10, 7, 7, 8, 5, 5, 6, 8, 8, 9, 9, 8, 8, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 8, 7, 7, 9, 9, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 9, 9, 4, 4, 5, 8, 7, 8, 8, 8, 10, 11, 10, 12, 11, 11, 12, 11, 11, 12, 11, 6, 6, 8, 7, 7, 8, 7, 7, 8, 7, 0, 1, 1, 2, 1, 1, 1, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 7, 8, 6, 6, 5, 5, 7, 7, 9, 10, 10, 9, 11, 11, 10, 11, 11, 9, 9, 9, 11, 11, 11, 11, 10, 11, 9, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 6, 6, 5, 5, 5, 4, 4, 9, 9, 8, 10, 10, 10, 7, 7, 5, 5, 6, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 5, 5, 7, 4, 4, 6, 6, 8, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 6, 7, 6, 7, 5, 5, 7, 4, 4, 5, 7, 7, 7, 6, 7, 5, 5, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 5, 8, 7, 8, 8, 7, 8, 7, 4, 4, 5, 7, 7, 8, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 4, 4, 5, 7, 6, 6, 6, 7, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 6, 7, 5, 5, 7, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 9, 9, 6, 6, 4, 4, 5, 8, 9, 9, 9, 8, 10, 10, 10, 10, 11, 10, 6, 6, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 9, 9, 6, 6, 4, 4, 5, 8, 9, 9, 9, 8, 9, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 5, 8, 9, 9, 9, 8, 9 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 1, 4, 4, 4, 0, 0, 0, 1, 3, 3, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 4, 4, 1, 0, 1, 1, 0, 0, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 4, 4, 1, 4, 4, 3, 0, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 0, 5, 5, 1, 5, 5, 5, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 3, 2, 1, 4, 4, 2, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 4, 4, 1, 1, 1, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 4, 4, 2, 3, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 2, 1, 4, 0, 0, 0, 4, 4, 1, 0, 0, 0, 1, 2, 1, 1, 0, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 3, 0, 0, 2, 2, 1, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 3, 3, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 3, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 5, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 1, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 1, 2, 0, 0, 4, 4, 3, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 6, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 6, 6, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 1, 2, 0, 0, 4, 4, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1 ]
[ 1070, 5741, 1188, 622, 3703, 203, 1070, 309, 836, 101, 1188, 319, 203, 1070, 309, 836, 101, 32, 101, 836, 762, 585, 1188, 319, 203, 1070, 309, 836, 101, 32, 16810, 1188, 7193, 1147, 30, 438, 99, 612, 203, 1070, 309, 836, 101, 32, 16810, 32, 21039, 14842, 1188, 15600, 203, 751, 280, 622, 3703, 4064, 426, 8223, 203, 823, 6645, 26, 959, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2488, 47, 2521, 711, 291, 2194, 3667, 1664, 3207, 784, 27, 291, 630, 32, 314, 280, 2830, 314, 26, 784, 27, 291, 630, 32, 612, 280, 2488, 291, 630, 32, 6446, 280, 1605, 291, 630, 32, 15655, 280, 3177, 291, 415, 646, 438, 99, 612, 26, 784, 32, 612, 711, 324, 3636, 3268, 15339, 101, 30, 2298, 526, 2678, 612, 25, 904, 372, 466, 26, 784, 32, 612, 490, 284, 665, 5742, 26, 784, 30, 5365, 711, 291, 3636, 3268, 30, 330, 1206, 31, 17788, 810, 22948, 25, 284, 665, 2761, 26, 784, 30, 1056, 711, 291, 415, 1056, 438, 1665, 44, 324, 442, 2933, 291, 7658, 280, 308, 1056, 328, 630, 32, 6446, 829, 291, 415, 7658, 44, 324, 1245, 32, 2811, 463, 1267, 904, 101, 30, 21347, 810, 78, 96, 23, 101, 370, 902, 777, 26, 1267, 471, 630, 27, 291, 442, 7658, 284, 665, 1056, 26, 784, 30, 1056, 711, 291, 415, 1056, 438, 1665, 44, 324, 1245, 32, 2811, 15339, 101, 30, 646, 31, 6264, 370, 630, 32, 612, 27, 324, 442, 291, 415, 630, 32, 15655, 44, 324, 1056, 280, 1056, 32, 5284, 346, 291, 1245, 32, 2811, 15339, 101, 30, 2431, 619, 44, 904, 101, 370, 630, 32, 612, 30, 902, 777, 26, 1267, 490, 291, 630, 32, 6446, 32, 1689, 26, 1267, 27, 291, 442, 1056, 203, 823, 7701, 552, 1625, 26, 1625, 711, 284, 665, 5742, 26, 784, 30, 5365, 711, 291, 415, 5365, 32, 14842, 26, 784, 32, 612, 711, 324, 636, 280, 630, 32, 612, 77, 34, 79, 324, 323, 280, 15600, 32, 1297, 26, 3968, 30, 636, 27, 324, 1245, 32, 2811, 15339, 101, 30, 2431, 21513, 10027, 101, 7243, 630, 32, 314, 30, 636, 27, 324, 442, 323, 291, 1056, 280, 1665, 291, 436, 343, 328, 308, 3968, 32, 7594, 30, 5365, 32, 2516, 711, 324, 1056, 280, 343, 32, 371, 26, 784, 32, 612, 27, 324, 415, 630, 32, 2029, 26, 1267, 711, 400, 1056, 280, 1665, 324, 813, 44, 400, 1626, 291, 415, 1056, 438, 1665, 44, 324, 7096, 280, 6828, 1625, 26, 784, 32, 612, 27, 324, 7096, 32, 6446, 280, 630, 32, 6446, 324, 1056, 280, 7096, 32, 4526, 26, 3968, 27, 291, 442, 630, 32, 1267, 26, 1267, 27, 203, 823, 2768, 1625, 26, 1625, 711, 284, 665, 5742, 26, 784, 30, 5365, 711, 291, 415, 5365, 32, 14842, 26, 784, 32, 612, 711, 324, 636, 280, 630, 32, 612, 77, 34, 79, 324, 323, 280, 15600, 32, 1297, 26, 3968, 30, 636, 27, 324, 1245, 32, 2811, 15339, 101, 30, 2431, 21513, 10027, 101, 7243, 630, 32, 314, 30, 636, 27, 324, 442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 0, 3, 2, 2, 4, 4, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 5, 6, 8, 8, 8, 10, 9, 10, 8, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 14, 13, 14, 12, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 5, 7, 4, 4, 6, 6, 7, 8, 8, 9, 10, 7, 4, 4, 5, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 12, 12, 11, 11, 11, 9, 11, 11, 12, 11, 9, 9, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 9, 10, 11, 9, 6, 6, 4, 4, 5, 6, 7, 5, 5, 5, 8, 8, 10, 11, 10, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 9, 7, 7, 9, 9, 10, 9, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 9, 8, 9, 7, 5, 5, 8, 8, 10, 11, 9, 10, 9, 6, 6, 8, 8, 10, 11, 10, 11, 10, 10, 10, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 9, 10, 11, 9, 9, 9, 6, 6, 7, 4, 4, 6, 6, 4, 4, 5, 5, 5, 8, 7, 8, 6, 6, 7, 8, 6, 5, 5, 8, 8, 10, 11, 10, 12, 11, 12, 10, 6, 6, 7, 9, 10, 9, 10, 9, 7, 7, 10, 10, 7, 7, 8, 8, 8, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 10, 10, 12, 11, 12, 10, 6, 6, 9, 10, 8, 8, 9, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 4, 4, 5, 7, 8, 7, 8, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 9, 8, 9, 7, 5, 5, 8, 8, 10, 11, 9, 10, 9, 6, 6, 8, 8, 10, 11, 10, 11, 10, 10, 10, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 9, 10, 11, 9, 9, 9, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 0, 6, 6, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 5, 1, 0, 0, 1, 0, 1, 2, 1, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 2, 1, 1, 2, 2, 2, 4, 4, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 4, 4, 3, 4, 4, 3, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 3, 3, 4, 4, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 0, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 4, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 3, 3, 3, 4, 4, 0, 0, 4, 4, 2, 2, 2, 0, 1, 2, 3, 3, 3, 2, 3, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 5, 5, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 4, 4, 4, 4, 4, 3, 1, 1, 3, 3, 3, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 0, 2, 0, 0, 2, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 0, 8, 8, 1, 2, 1, 2, 8, 8, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 3, 3 ]
[ 465, 15798, 203, 465, 7138, 203, 465, 3619, 10185, 203, 465, 6436, 619, 2065, 203, 1070, 1288, 91, 45817, 32, 30299, 32, 42926, 1188, 31378, 3675, 203, 1070, 1288, 91, 45817, 32, 30299, 1188, 33286, 203, 1070, 1288, 91, 45817, 32, 12124, 1188, 1565, 4421, 10448, 203, 1070, 1288, 91, 45817, 32, 5721, 1188, 308, 284, 3903, 30, 284, 18131, 1099, 35255, 81, 2319, 203, 27, 203, 823, 2737, 107, 2185, 17543, 10448, 26, 37887, 10448, 711, 284, 46789, 81, 1407, 81, 1754, 75, 81, 3349, 81, 58, 9394, 280, 225, 35, 284, 665, 7379, 26, 784, 711, 291, 630, 32, 43103, 280, 3177, 284, 665, 2887, 81, 605, 26, 784, 30, 706, 711, 291, 415, 646, 630, 32, 43103, 44, 324, 630, 32, 1174, 26, 784, 32, 11649, 26, 784, 32, 22771, 81, 1407, 81, 1754, 75, 81, 3349, 81, 58, 9394, 471, 225, 35, 34, 34, 27, 324, 630, 32, 43103, 280, 2933, 203, 823, 2108, 5004, 17749, 31599, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 18779, 81, 13046, 81, 363, 81, 8192, 26, 784, 711, 291, 1477, 81, 770, 280, 7138, 32, 6665, 26, 324, 4947, 47, 36, 34, 34, 40, 30, 324, 6811, 47, 35, 30, 324, 5808, 47, 37, 30, 324, 12021, 47, 34, 30, 324, 16044, 47, 34, 30, 324, 25932, 1338, 47, 978, 10185, 32, 16700, 27, 291, 943, 81, 770, 280, 7138, 32, 6665, 26, 324, 4947, 47, 36, 34, 34, 40, 30, 324, 6811, 47, 35, 30, 324, 5808, 47, 39, 30, 324, 12021, 47, 34, 30, 324, 16044, 47, 34, 30, 324, 25932, 1338, 47, 978, 10185, 32, 16700, 27, 291, 3760, 81, 2132, 280, 31378, 3675, 26, 324, 7918, 81, 1366, 47, 1366, 81, 770, 30, 324, 7918, 81, 416, 47, 416, 81, 770, 30, 324, 706, 81, 15710, 1057, 18779, 370, 324, 34812, 81, 3306, 1057, 18779, 25, 291, 829, 291, 29299, 280, 2737, 107, 2185, 17543, 10448, 26, 324, 22959, 6020, 35, 614, 324, 3760, 81, 2132, 47, 4485, 81, 2132, 27, 291, 1932, 81, 770, 280, 7138, 32, 6665, 26, 36, 34, 34, 40, 30, 225, 35, 30, 225, 37, 30, 25932, 1338, 47, 978, 10185, 32, 16700, 27, 291, 3100, 81, 770, 280, 7138, 32, 6665, 26, 36, 34, 34, 40, 30, 225, 35, 30, 225, 38, 30, 25932, 1338, 47, 978, 10185, 32, 16700, 27, 291, 10970, 81, 770, 280, 7138, 32, 6665, 26, 36, 34, 34, 40, 30, 225, 35, 30, 225, 39, 30, 25932, 1338, 47, 978, 10185, 32, 16700, 27, 291, 16719, 81, 1632, 81, 605, 280, 428, 324, 3903, 1371, 400, 330, 1676, 81, 4415, 950, 225, 35, 34, 30, 400, 330, 2679, 81, 4415, 950, 225, 35, 39, 30, 400, 330, 4415, 950, 225, 35, 39, 30, 400, 330, 7236, 950, 225, 35, 34, 34, 34, 30, 400, 330, 11649, 950, 225, 35, 30, 400, 330, 2632, 950, 1932, 81, 770, 30, 400, 330, 1855, 81, 314, 950, 330, 858, 31, 17026, 31, 1855, 370, 400, 330, 681, 950, 18131, 1099, 35255, 81, 2319, 32, 12512, 852, 324, 7305 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 8, 5, 5, 5, 9, 10, 9, 12, 11, 12, 11, 13, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 9, 10, 10, 10, 9, 6, 6, 9, 10, 8, 8, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 8, 8, 9, 10, 10, 10, 10, 8, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 10, 9, 11, 11, 10, 11, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 8, 8, 9, 10, 10, 10, 10, 8, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 10, 9, 11, 11, 10, 11, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 11, 11, 8, 8, 10, 10, 9, 11, 11, 8, 8, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 11, 10, 8, 8, 10, 10, 9, 10, 10, 10, 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, 11, 10, 11, 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, 11, 10, 11, 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, 11, 10, 11, 8, 4, 4, 7, 7, 7, 7, 6, 6, 7, 7, 9, 10, 10, 13, 13, 13, 13, 11, 12, 12, 10, 10, 10, 13, 13, 13, 13, 11, 12, 12, 10, 10, 10, 13, 13, 11, 12, 12, 10, 10, 10, 13, 13, 11, 12, 12, 12, 12, 10, 10, 10, 13, 13, 11, 12, 10, 10, 10, 13, 13, 11, 12, 12, 10, 10, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 13, 10, 10, 13, 13, 11, 13, 13, 13, 13, 12, 13, 13, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 1, 1, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 7, 7, 0, 0, 1, 2, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 8, 8, 1, 1, 1, 1, 2, 1, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 1, 3, 3, 0, 2, 0, 0, 0, 9, 9, 1, 1, 1, 2, 0, 1, 2, 2, 9, 9, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 9, 2, 1, 1, 1, 0, 11, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 9, 2, 1, 1, 1, 0, 11, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 1, 2, 1, 1, 0, 0, 7, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 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, 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, 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, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 1, 2, 7, 2, 2, 2, 2, 1, 1, 1, 1, 2, 9, 2, 1, 1, 1, 1, 2, 11, 2, 2, 1, 1, 1, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 15, 0, 0, 0, 0, 2, 2, 2, 1, 1 ]
[ 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 823, 3497, 81, 2282, 81, 15699, 81, 3734, 26, 500, 104, 32, 500, 104, 81, 5566, 711, 284, 617, 426, 280, 330, 3524, 32, 2282, 32, 15699, 32, 3734, 25, 284, 617, 2310, 280, 330, 3341, 8751, 40388, 9082, 25, 284, 617, 6815, 280, 313, 3524, 32, 2282, 32, 3734, 20, 284, 617, 6057, 280, 301, 291, 330, 1267, 81, 8319, 950, 3829, 32, 8319, 2009, 463, 7123, 1195, 435, 2865, 444, 40152, 1425, 13588, 2726, 21061, 1195, 8691, 444, 40152, 1425, 13588, 2726, 7123, 81, 21061, 1195, 435, 2865, 444, 461, 18425, 444, 40152, 36977, 13588, 313, 25545, 1182, 392, 2129, 47, 1815, 471, 284, 320, 284, 617, 10514, 280, 301, 291, 330, 1267, 81, 8319, 950, 330, 7123, 370, 284, 320, 284, 665, 1406, 81, 1216, 81, 3734, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 706, 30, 1619, 47, 2521, 711, 291, 415, 1619, 438, 1665, 44, 324, 1619, 280, 2149, 291, 706, 710, 599, 5695, 1877, 26, 784, 32, 850, 26, 2446, 30, 12373, 30, 9668, 30, 2107, 1267, 81, 8319, 2188, 1619, 47, 1819, 5594, 34, 1130, 291, 442, 706, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 10, 12, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 8, 8, 10, 10, 10, 8, 9, 10, 8, 5, 5, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 8, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 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, 8, 10, 10, 8, 7, 11, 10, 11, 10, 11, 10, 10, 10, 10, 10, 10, 13, 13, 13, 13, 10, 11, 12, 10, 9, 8, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 2, 1, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 11, 2, 2, 5, 5, 0, 1, 1, 0, 0, 0, 0, 0, 4, 4, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 9, 2, 1, 2, 1, 4, 4, 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 ]
[ 465, 316, 203, 1070, 3619, 32725, 32, 22235, 1188, 18044, 21055, 30, 810, 6332, 30, 8153, 203, 1070, 3619, 32725, 32, 1956, 1188, 14533, 30, 892, 30, 5104, 30, 16734, 30, 3319, 30, 766, 284, 30465, 30, 3270, 203, 505, 464, 505, 280, 2107, 2291, 21055, 785, 203, 823, 6287, 21055, 26, 10851, 21055, 711, 284, 636, 280, 330, 44670, 25, 284, 20664, 280, 2107, 3142, 370, 330, 3142, 8366, 785, 284, 26719, 280, 1605, 284, 617, 2516, 280, 308, 950, 1274, 370, 14589, 955, 370, 14589, 800, 370, 14589, 1771, 370, 14589, 465, 370, 14589, 410, 2402, 370, 1090, 14589, 410, 370, 14589, 7909, 683, 284, 5736, 280, 316, 32, 24924, 1466, 3123, 523, 316, 32, 1434, 2576, 6755, 3204, 284, 7937, 280, 301, 291, 330, 2388, 950, 428, 324, 308, 100, 25, 306, 3424, 33113, 370, 14533, 471, 324, 308, 100, 7362, 370, 892, 30, 330, 800, 1425, 324, 308, 100, 27941, 21194, 86, 44292, 5104, 32, 3061, 471, 324, 308, 100, 25, 27054, 2537, 16249, 16734, 471, 324, 308, 100, 25, 2009, 14747, 101, 14379, 6155, 2502, 78, 101, 16886, 23, 101, 49, 9905, 904, 36196, 2473, 2524, 2176, 2516, 471, 1802, 810, 6332, 26, 558, 30, 3319, 30, 30465, 3662, 324, 308, 100, 10255, 101, 44292, 3319, 471, 324, 308, 4068, 2176, 2516, 471, 30465, 471, 291, 2505, 291, 330, 800, 950, 428, 324, 308, 100, 32312, 1736, 106, 77, 34, 31, 43, 83, 31, 88, 8274, 36, 33741, 1736, 103, 77, 34, 31, 43, 83, 31, 88, 8274, 38, 33741, 1736, 71, 34, 34, 77, 34, 31, 43, 83, 31, 88, 8274, 40, 111, 19994, 1802, 540, 25, 1736, 77, 34, 31, 41, 8274, 35, 30, 37, 33741, 1736, 85, 8302, 1736, 77, 360, 1528, 104, 12580, 6945, 37827, 1736, 28094, 32291, 109, 10182, 80, 9588, 1736, 1130, 44292, 892, 471, 324, 308, 100, 10255, 109, 370, 892, 32, 19033, 30, 330, 2076, 426, 1425, 324, 308, 100, 7362, 370, 892, 30, 5307, 3235, 683, 291, 2505, 291, 330, 2076, 426, 950, 428, 324, 308, 100, 25, 24183, 6807, 6155, 2502, 78, 101, 3730, 370, 810, 6332, 26, 558, 30, 892, 32, 19033, 471, 2726, 21, 3235, 370, 330, 1436, 2847, 291, 2505, 291, 330, 1436, 950, 428, 324, 308, 100, 10255, 109, 370, 892, 32, 19033, 30, 330, 2076, 426, 1425, 324, 308, 100, 10255, 10047, 892, 32, 19033, 30, 5307, 3235, 1425, 324, 308, 100, 32312, 30, 2502, 78, 101, 3730, 2009, 83, 31, 108, 6155, 2502, 78, 101, 18899, 1748, 370, 1802, 810, 6332, 26, 7145, 30, 892, 32, 19033, 30, 30465, 30, 892, 32, 19033, 471, 5307, 3235, 1425, 324, 308, 100, 32312, 30, 2502, 78, 101, 3730, 2009, 83, 31, 108, 6155, 2502, 78, 101, 16886, 30, 2502, 78, 101, 16886, 2881, 2502, 78, 101, 16886, 44, 2502, 78, 101, 16886, 31, 21194, 86, 29, 2502, 78, 101, 3730, 370, 1802, 810, 6332, 26, 7145, 30, 892, 32, 19033, 30, 30465, 30, 892, 32, 19033, 30, 16734, 30, 2855, 892, 32, 19033, 30, 16734, 32, 5095, 30, 892, 32, 19033, 30, 16734 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 2, 2, 4, 4, 7, 7, 5, 7, 7, 7, 2, 2, 4, 4, 2, 2, 5, 4, 4, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 5, 7, 7, 5, 7, 7, 2, 2, 4, 4, 6, 7, 7, 7, 5, 5, 6, 7, 7, 7, 7, 2, 2, 4, 4, 5, 5, 8, 8, 6, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 7, 7, 10, 10, 10, 8, 8, 8, 10, 10, 7, 7, 10, 10, 10, 10, 10, 8, 9, 10, 8, 7, 7, 10, 10, 10, 10, 10, 8, 8, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 12, 11, 12, 11, 8, 8, 10, 10, 11, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 8, 7, 7, 10, 10, 11, 10, 8, 8, 7, 7, 5, 5, 8, 8, 6, 7, 7, 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, 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, 11, 11, 11, 11, 8, 8, 7, 7, 10, 10, 10, 10, 8, 9, 10, 8, 8, 10, 10, 10, 7, 7, 10, 10, 10, 8, 8, 8, 10, 10, 7, 7, 5, 5, 8, 8, 8, 6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 11, 10, 10, 11, 12, 10, 8, 11, 11, 11, 9, 11, 11, 7, 7, 5, 5, 8, 8, 6, 7, 7, 10, 10, 10, 10, 8, 9, 10, 8, 8, 10, 10, 10, 7, 7, 10, 10, 10, 8, 9, 10, 8, 8, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 11, 10, 10, 11, 12, 10, 10, 10, 10, 11, 12, 10, 8, 10, 10, 7, 7, 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, 8, 8, 10, 10, 11, 10, 10, 11, 12, 10, 10, 10, 10, 11, 12, 10, 10, 10, 10, 10, 11, 12, 10, 10, 11, 12, 10, 10, 11, 12, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 13, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 4, 4, 1, 2, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 2, 1, 1, 2, 4, 4, 0, 0, 4, 4, 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, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 3, 3, 3, 1, 2, 2, 2, 0, 0, 1, 1, 1, 5, 3, 2, 5, 2, 2, 0, 0, 1, 1, 1, 7, 7, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 9, 9, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 11, 11, 2, 2, 0, 1, 1, 1, 13, 13, 2, 2, 2, 2, 1, 2, 3, 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, 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, 0, 0, 1, 2, 3, 3, 2, 3, 3, 1, 1, 2, 2, 2, 0, 0, 2, 5, 5, 5, 1, 2, 2, 2, 2, 2, 1, 1, 2, 5, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 2, 5, 1, 2, 2, 2, 2, 2, 1, 2, 7, 2, 2, 0, 0, 1, 2, 1, 3, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 3, 3, 2, 3, 3, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 7, 2, 1, 5, 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, 2, 7, 7, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 7, 2, 1, 1, 1, 1, 1, 11, 2, 1, 1, 13, 2, 1, 1, 15, 2, 1, 1 ]
[ 505, 1648, 505, 280, 313, 36, 32, 36, 32, 35, 20, 203, 1070, 5237, 1188, 1503, 81, 1338, 203, 589, 11140, 26, 83, 7346, 711, 284, 415, 1833, 1648, 81, 1338, 333, 308, 37, 30, 225, 34, 27, 461, 6937, 26, 83, 7346, 30, 15390, 490, 556, 324, 308, 1648, 81, 1338, 2377, 308, 37, 30, 225, 34, 27, 461, 646, 6937, 26, 83, 7346, 30, 3519, 490, 711, 291, 3636, 10091, 463, 7700, 312, 3519, 1300, 30, 646, 312, 15390, 1300, 683, 284, 645, 638, 1188, 36596, 19124, 284, 1044, 280, 36596, 19124, 32, 18924, 14329, 346, 284, 1044, 32, 4534, 346, 284, 1044, 32, 6528, 26, 83, 7346, 27, 284, 1044, 32, 2679, 346, 284, 442, 1044, 32, 1267, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 9, 9, 9, 8, 8, 10, 9, 9, 10, 9, 7, 7, 9, 10, 10, 9, 9, 9, 5, 5, 5, 9, 9, 9, 8, 8, 10, 9, 9, 10, 9, 7, 7, 8, 10, 11, 11, 10, 10, 10, 4, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 3, 3, 5, 2, 2, 4, 4, 7, 6, 7, 7, 6, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 6, 6, 5, 2, 2, 5, 6, 5, 2, 2, 3, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 0, 4, 4, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 6, 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 ]
[ 465, 7138, 203, 465, 11171, 203, 465, 4395, 203, 1070, 2322, 315, 81, 1163, 1188, 8444, 203, 1070, 2322, 315, 81, 751, 1188, 1245, 619, 5741, 203, 1070, 2322, 315, 81, 22969, 32, 8358, 1188, 2043, 619, 16215, 81, 1580, 203, 1070, 20439, 5310, 32, 1199, 32, 104, 36, 1188, 4125, 619, 3082, 81, 1237, 203, 1070, 20439, 5310, 32, 1199, 32, 104, 36, 32, 41204, 1188, 4549, 203, 1070, 20439, 5310, 32, 3483, 1188, 1244, 81, 3483, 619, 343, 81, 819, 203, 1070, 20439, 5310, 1188, 14735, 619, 13489, 203, 1070, 20439, 5310, 32, 4255, 1188, 1389, 12254, 619, 34839, 81, 2122, 203, 1070, 20439, 5310, 32, 4882, 1188, 1695, 203, 1070, 20439, 5310, 32, 4882, 32, 2243, 32, 3483, 1188, 1695, 619, 14707, 81, 858, 81, 1439, 203, 1070, 20439, 5310, 32, 9874, 1188, 10066, 203, 1070, 20439, 5310, 32, 9874, 1188, 8745, 619, 35498, 81, 2304, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 4687, 32, 14594, 32, 470, 81, 1536, 463, 2393, 81, 4898, 370, 3177, 30, 2350, 1057, 897, 278, 683, 203, 8703, 26791, 280, 1524, 203, 1559, 203, 1648, 44, 330, 36, 32, 34, 25, 203, 426, 44, 34839, 203, 23829, 44, 334, 35498, 44, 284, 827, 44, 10156, 284, 1509, 44, 397, 429, 4356, 35, 44, 786, 35, 397, 429, 4356, 36, 284, 8253, 44, 397, 2899, 35, 44, 291, 2125, 44, 1230, 32, 3474, 1688, 47, 12692, 8165, 753, 35, 12031, 291, 6672, 44, 324, 773, 44, 15978, 8165, 2795, 35, 12031, 397, 2899, 36, 44, 291, 2125, 44, 1230, 32, 3474, 1688, 47, 12692, 8165, 753, 36, 12031, 291, 7171, 44, 428, 2795, 35, 79, 203, 2993, 203, 31141, 81, 9302, 280, 6611, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 15231, 88, 25, 203, 44756, 280, 301, 284, 330, 314, 950, 596, 26, 6572, 32, 6572, 38, 6182, 284, 330, 426, 950, 330, 858, 370, 284, 330, 2310, 950, 330, 1772, 894, 4070, 370, 284, 330, 9578, 950, 301, 291, 330, 678, 35, 950, 330, 8183, 370, 291, 330, 678, 36, 950, 225, 35, 36, 37, 284, 801, 284, 330, 3473, 950, 330, 2055, 370, 284, 330, 4524, 81, 269, 950, 596, 26, 6665, 32, 6665, 32, 44026, 6182, 284, 330, 6368, 81, 269, 950, 596, 26, 6665, 32, 6665, 32, 44026, 1157, 203, 111, 203, 44756, 81, 1996, 280, 4549, 32, 6330, 26, 284, 804, 47, 44756, 710, 314, 2188, 284, 636, 47, 44756, 710, 426, 2188, 284, 3048, 47, 44756, 710, 2310, 2188, 284, 4886, 47, 44756, 710, 9578, 2188, 284, 4576, 47, 44756, 710, 3473, 2188, 284, 3272, 81, 269, 47, 6665, 32, 6665, 32, 44832, 26, 44756, 710, 4524, 81, 269, 2188, 10631, 18131, 22242, 81, 9302, 471, 284, 4459, 81, 269, 47, 6665, 32, 6665, 32, 44832, 26, 44756, 710, 6368, 81, 269, 2188, 10631, 18131, 22242, 81, 9302, 27, 203, 27, 203, 45878, 81, 44756, 280, 4395, 32, 20229, 3660, 26, 601, 81, 853, 47, 44756, 81, 1996, 27, 203, 45878, 81, 3908, 81, 13195, 280, 4395, 32, 20229, 3660, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 4, 4, 2, 2, 3, 3, 0, 1, 1, 3, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 4, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 5, 4, 5, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 3, 3, 4, 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, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 3, 3, 6, 6, 4, 6, 9, 8, 9, 9, 8, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 5, 5, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 6, 7, 7, 7, 5, 5, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 10, 9, 10, 8, 9, 8, 3, 3, 6, 6, 6, 6, 4, 6, 10, 9, 10, 8, 9, 8, 3, 3, 0, 3, 3, 3, 2, 2, 4, 5, 4, 4, 4, 5, 7, 6, 8, 8, 4, 4, 5, 7, 6, 8, 8, 4, 4, 5, 7, 6, 8, 8, 4, 4, 5, 7, 6, 8, 8, 4, 4, 5, 7, 6, 8, 8, 4, 4, 6, 6, 5, 9, 8, 9, 7, 8, 7, 9, 8, 10, 10, 10, 10, 7, 7, 8, 8, 8, 7, 4, 4, 6, 6, 5, 9, 8, 9, 7, 8, 7, 9, 8, 10, 10, 10, 10, 7, 7, 8, 8, 8, 7, 4, 4, 0, 3, 3, 3, 2, 2, 4, 5, 5, 4, 6, 6, 6, 5, 6, 6, 6, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 4, 4, 3, 3, 0, 5, 5, 0, 0, 0, 1, 2, 5, 5, 3, 3, 2, 2, 0, 6, 6, 0, 1, 2, 1, 4, 4, 6, 6, 3, 3, 2, 2, 0, 7, 7, 0, 1, 2, 1, 4, 4, 1, 6, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 3, 3, 2, 2, 0, 9, 9, 0, 9, 9, 3, 3, 0, 10, 10, 0, 1, 2, 10, 10, 0, 3, 3, 2, 2, 0, 11, 11, 0, 1, 2, 11, 11, 0, 12, 12, 0, 1, 2, 1, 4, 1, 6, 12, 12, 3, 3, 2, 2, 2, 2, 0, 13, 13, 0, 1, 2, 13, 13, 0, 14, 14, 0, 1, 2, 14, 14, 3, 3, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 5, 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, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 2, 2, 2, 1, 2, 7, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 2, 9, 1, 2, 2, 2, 1, 1, 1, 2, 11, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 13, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 3, 0, 2, 1, 2, 1, 1, 5, 0, 2, 1, 2, 1, 1, 7, 0, 2, 1, 2, 1, 1, 9, 0, 2, 1, 2, 1, 1, 0, 0, 11, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 0, 0, 13, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1 ]
[ 1070, 26224, 1222, 32, 7608, 2255, 32, 878, 1188, 2357, 6385, 30, 39596, 487, 388, 203, 823, 624, 57, 1305, 303, 928, 32778, 26, 2357, 6385, 32, 3713, 2570, 8063, 284, 2179, 280, 313, 20003, 20, 284, 665, 622, 26, 630, 30, 2357, 2275, 30, 2926, 47, 2521, 8063, 291, 442, 39596, 487, 388, 32, 21151, 1305, 303, 928, 3713, 26, 324, 2357, 2275, 280, 2357, 2275, 30, 291, 829, 203, 2186, 6385, 32, 3713, 2570, 32, 3317, 2570, 26, 624, 57, 1305, 303, 928, 32778, 346, 829, 203, 823, 624, 2060, 9379, 32778, 26, 2357, 6385, 32, 3713, 2570, 8063, 284, 2179, 280, 313, 16121, 20, 284, 665, 622, 26, 630, 30, 2357, 2275, 30, 2926, 47, 2521, 8063, 291, 442, 39596, 487, 388, 32, 41776, 9379, 3713, 26, 324, 2357, 2275, 280, 2357, 2275, 30, 291, 829, 203, 2186, 6385, 32, 3713, 2570, 32, 3317, 2570, 26, 624, 2060, 9379, 32778, 346, 829, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 4, 4, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 8, 8, 7, 8, 8, 8, 8, 8, 7, 7, 7, 9, 8, 8, 9, 7, 7, 7, 0, 5, 5, 4, 5, 5, 3, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 4, 4, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 8, 8, 7, 8, 8, 8, 7, 7, 7, 9, 8, 8, 9, 7, 7, 7, 0, 5, 5, 4, 5, 5, 3, 4, 4, 3, 3, 5, 5, 5, 5, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 4, 4, 1, 2, 2, 2, 2, 3, 2, 2, 5, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 3, 3, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 3, 3, 0, 0, 1, 2, 4, 4, 1, 2, 2, 2, 2, 3, 2, 2, 5, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 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 ]
[ 1070, 540, 20056, 32, 4627, 1188, 4899, 203, 1070, 540, 20056, 32, 4627, 1188, 432, 98, 81, 1567, 203, 1070, 540, 20056, 32, 1356, 1188, 343, 6320, 619, 343, 6320, 81, 1356, 203, 1070, 540, 20056, 32, 1356, 32, 8771, 1188, 354, 45847, 203, 1070, 540, 20056, 32, 1028, 1805, 1188, 48089, 203, 1070, 540, 20056, 32, 1028, 1805, 1188, 34626, 203, 1070, 540, 20056, 32, 1028, 1805, 1188, 432, 1805, 81, 104, 35, 81, 36, 203, 1070, 540, 20056, 32, 1028, 1805, 1188, 432, 1805, 81, 104, 35, 81, 37, 203, 1070, 540, 20056, 32, 4255, 32, 31423, 32, 104, 45847, 1188, 9300, 203, 1070, 540, 20056, 32, 4255, 32, 31423, 32, 104, 45847, 1188, 1692, 619, 354, 45847, 81, 1567, 203, 1070, 540, 20056, 32, 4255, 32, 31423, 32, 104, 45847, 1188, 8745, 203, 50, 8231, 32, 72, 4252, 66, 3041, 8536, 32, 3317, 26, 104, 45847, 81, 1567, 32, 72, 4252, 66, 3041, 2961, 4055, 27, 203, 823, 676, 4252, 66, 3041, 8536, 2961, 4055, 26, 8231, 32, 72, 4252, 66, 3041, 8536, 711, 284, 2241, 66, 81, 4530, 69, 280, 428, 1028, 1805, 81, 104, 35, 81, 36, 32, 2109, 66, 81, 4530, 30, 528, 432, 1805, 81, 104, 35, 81, 37, 32, 2109, 66, 81, 4530, 79, 27218, 617, 6947, 280, 225, 34, 2264, 284, 617, 28185, 280, 225, 34, 106, 42, 34, 34, 34, 10065, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 72, 4252, 66, 3041, 8536, 2961, 4055, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 1858, 280, 10306, 32, 371, 463, 104, 45847, 81, 449, 1028, 81, 1274, 370, 1665, 27, 291, 415, 1858, 438, 646, 1665, 44, 324, 630, 1114, 6947, 280, 629, 26, 1274, 27, 291, 9958, 280, 10306, 32, 371, 463, 104, 45847, 81, 449, 1028, 81, 9786, 370, 1665, 27, 291, 415, 9958, 438, 646, 1665, 44, 324, 630, 1114, 28185, 280, 629, 26, 9786, 27, 284, 477, 4531, 32, 470, 81, 5092, 81, 6933, 26, 1028, 98, 81, 1567, 32, 1151, 2109, 5475, 3357, 383, 30, 4899, 32, 10383, 81, 37123, 527, 27, 284, 665, 6882, 81, 266, 81, 4531, 26, 784, 30, 7050, 711, 291, 630, 32, 4073, 32, 2811, 463, 8771, 81, 266, 81, 4531, 683, 291, 3124, 280, 7050, 32, 2076, 291, 39187, 550, 280, 3124, 32, 31113, 550, 291, 432, 1805, 280, 39187, 550, 32, 1028, 1805, 291, 343, 6320, 280, 39187, 550, 32, 314, 291, 415, 343, 6320, 863, 630, 32, 3337, 32, 5974, 314, 44, 324, 630, 32, 4073, 32, 2811, 463, 8771, 81, 266, 81, 4531, 343, 6320, 904, 101, 904, 101, 370, 4985, 343, 6320, 81, 1356, 32, 5974, 314, 81, 452, 81, 466, 26, 5974, 314, 471, 4985, 343, 6320, 81, 1356, 32, 5974, 314, 81, 452, 81, 466, 26, 784, 32, 3337, 32, 5974, 314, 490, 324, 442, 291, 328, 81, 625, 280, 1665, 291, 436, 1600, 328, 3124, 32, 2872, 32, 4151, 44, 324, 415, 1600, 32, 2111, 610, 432, 1805, 32, 65, 25797, 81, 2109, 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, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 4, 2, 2, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 0, 2, 6, 5, 6, 6, 6, 6, 6, 4, 5, 4, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 5, 4, 5, 5, 5, 5, 5, 3, 2, 2, 6, 6, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 6, 3, 3, 6, 5, 5, 6, 3, 3, 3, 6, 5, 5, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 6, 5, 5, 7, 5, 5, 7, 5, 4, 4, 10, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 9, 9, 10, 8, 8, 10, 8, 5, 5, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 5, 5, 6, 7, 7, 7, 6, 6, 6, 10, 11, 9, 9, 11, 12, 11, 5, 5, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 5, 5, 6, 7, 7, 7, 6, 6, 6, 10, 11, 9, 9, 11, 12, 11, 3, 3, 8, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 7, 4, 4, 5, 6, 6, 6, 6, 6, 7, 6, 6, 6, 5, 5, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 6, 6, 8, 8, 9, 10, 6, 6, 9, 8, 8, 9, 10, 10, 6, 6, 9, 8, 8, 10, 9, 10, 10, 6, 6, 9, 8, 8, 10, 9, 10, 6, 6, 7, 9, 8, 8, 10, 11, 9, 10, 10, 7, 7, 7, 12, 13, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 14, 14, 14, 13, 14, 14, 14, 14, 14, 14, 13, 14, 14, 13, 11, 11, 14, 14, 14, 13, 14, 14, 14, 14, 14, 14, 13, 16, 15, 16, 14, 15, 15, 13, 8, 8, 6, 6, 9, 9, 8, 8, 6, 6, 7, 7, 7, 9, 10, 8, 9, 7, 7, 7, 9, 11, 12, 10, 10, 12, 11, 12, 12, 12, 12, 12 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 2, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 0, 1, 2, 2, 4, 4, 0, 5, 5, 0, 1, 2, 2, 5, 5, 0, 6, 6, 0, 1, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 1, 2, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 1, 2, 1, 4, 1, 6, 6, 8, 8, 0, 9, 9, 0, 1, 2, 1, 4, 1, 6, 6, 9, 9, 3, 3, 2, 2, 2, 0, 10, 10, 0, 1, 2, 1, 4, 1, 6, 6, 10, 10, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 3, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 1, 1, 1, 4, 4, 4, 0, 2, 0, 0, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 5, 0, 1, 1, 0, 2, 2, 2, 2, 5, 5, 5, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 3, 3, 4, 4, 0, 0, 0, 0, 4, 4, 7, 7, 7, 0, 2, 3, 2, 7, 7, 7, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2 ]
[ 465, 2322, 203, 465, 15798, 203, 1070, 7138, 1188, 7138, 203, 1070, 2813, 3657, 1188, 44188, 1063, 203, 1070, 2813, 3657, 32, 13889, 32, 4677, 639, 1188, 447, 13877, 2570, 203, 1070, 894, 32, 13889, 32, 6385, 81, 858, 81, 2304, 1188, 15728, 35506, 203, 1070, 2813, 3657, 32, 1040, 1188, 3383, 203, 8182, 81, 3197, 280, 3383, 32, 2386, 922, 371, 81, 15829, 81, 1855, 81, 983, 463, 2955, 53, 81, 4677, 639, 683, 203, 823, 447, 13877, 2570, 1006, 26, 2570, 35506, 711, 284, 477, 18986, 32, 5961, 2797, 26, 1206, 2322, 32, 983, 32, 4658, 26, 8182, 81, 3197, 471, 330, 858, 706, 646, 2431, 44, 330, 474, 36793, 81, 3197, 27, 284, 665, 894, 81, 1855, 81, 1003, 81, 19972, 26, 784, 711, 291, 6887, 280, 447, 13877, 2570, 26, 17438, 1063, 1026, 4921, 47, 8182, 81, 3197, 27, 291, 6887, 32, 9266, 346, 291, 1914, 81, 1003, 81, 19972, 280, 6887, 32, 1855, 81, 1003, 81, 19972, 291, 630, 32, 5299, 26, 35, 37, 35, 38, 43, 30, 2069, 26, 1855, 81, 1003, 81, 19972, 490, 291, 630, 32, 862, 81, 1855, 81, 1003, 81, 19972, 26, 1855, 81, 1003, 81, 19972, 77, 34, 614, 10000, 7138, 26, 35, 43, 41, 43, 30, 225, 35, 30, 225, 35, 30, 225, 34, 30, 225, 34, 30, 225, 34, 30, 225, 37, 37, 471, 10000, 7138, 26, 35, 43, 41, 43, 30, 225, 35, 30, 225, 36, 30, 225, 34, 30, 225, 34, 30, 225, 34, 30, 225, 37, 37, 471, 10000, 630, 32, 371, 81, 1855, 81, 1515, 81, 668, 26, 8182, 81, 3197, 27, 474, 2107, 2626, 6450, 32, 72, 35, 32, 41, 36, 34, 32, 37, 40, 34, 32, 35, 43, 41, 43, 32, 6635, 32, 6680, 2188, 2476, 34, 27, 291, 630, 32, 862, 81, 1855, 81, 1003, 81, 19972, 26, 1855, 81, 1003, 81, 19972, 77, 40, 614, 10000, 7138, 26, 35, 43, 41, 43, 30, 225, 35, 30, 225, 41, 30, 225, 34, 30, 225, 34, 30, 225, 34, 30, 225, 37, 37, 471, 10000, 7138, 26, 35, 43, 41, 43, 30, 225, 35, 30, 225, 42, 30, 225, 34, 30, 225, 34, 30, 225, 34, 30, 225, 37, 37, 471, 10000, 630, 32, 371, 81, 1855, 81, 1515, 81, 668, 26, 8182, 81, 3197, 27, 474, 2107, 2626, 6450, 32, 72, 35, 32, 41, 36, 34, 32, 37, 40, 34, 32, 35, 43, 41, 43, 32, 6635, 32, 6680, 2188, 2476, 40, 27, 291, 630, 32, 862, 81, 1855, 81, 1003, 81, 19972, 26, 1855, 81, 1003, 81, 19972, 77, 35, 37, 35, 38, 42, 614, 10000, 7138, 26, 36, 34, 35, 38, 30, 225, 35, 36, 30, 225, 37, 35, 30, 225, 34, 30, 225, 34, 30, 225, 34, 30, 225, 37, 37, 471, 10000, 7138, 26, 36, 34, 35, 39, 30, 225, 35, 30, 225, 35, 30, 225, 34, 30, 225, 34, 30, 225, 34, 30, 225, 37, 37, 471, 10000, 630, 32, 371, 81, 1855, 81, 1515, 81, 668, 26, 8182, 81, 3197, 27, 474, 2107, 2626, 6450, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 7, 6, 7, 7, 6, 7, 7, 10, 11, 9, 10, 9, 10, 10, 10, 9, 6, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 9, 9, 9, 11, 11, 11, 9, 10, 11, 11, 11, 9, 5, 5, 8, 9, 8, 5, 5, 8, 8, 8, 8, 7, 7, 8, 9, 9, 9, 9, 9, 5, 5, 8, 9, 8, 9, 9, 9, 9, 9, 8, 8, 10, 11, 11, 11, 11, 11, 10, 5, 5, 8, 9, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 9, 10, 9, 8, 8, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 11, 10, 8, 8, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 11, 10, 8, 8, 11, 12, 12, 12, 12, 12, 12, 12, 11, 12, 12, 12, 11, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 8, 9, 8, 5, 5, 8, 9, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 9, 10, 9, 8, 8, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 11, 10, 8, 8, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 11, 10, 8, 8, 11, 12, 12, 12, 12, 12, 12, 12, 11, 12, 12, 12, 11, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 8, 9, 8, 5, 5, 8, 9, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 8, 8, 10, 11, 11, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 11, 10, 8, 8, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 11, 10, 8, 8, 11, 12, 12, 12, 12, 12, 12, 12, 11, 12, 12, 12, 11, 9, 9, 12, 12, 12 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 4, 4, 4, 4, 5, 5, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 8, 8, 1, 1, 1, 2, 1, 1, 2, 8, 8, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 1, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 1, 13, 13, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 9, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 1, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 1, 13, 13, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 9, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 1, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 1, 13, 13, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 7, 7, 1, 1, 1 ]
[ 465, 2361, 203, 465, 2322, 203, 465, 19571, 203, 465, 15798, 203, 465, 5237, 203, 1070, 46624, 32, 5558, 32, 5961, 1188, 17221, 1006, 203, 1270, 44, 284, 645, 3619, 14213, 18984, 1188, 19224, 30, 354, 1803, 94, 203, 7343, 29986, 44, 284, 3636, 17221, 1006, 440, 858, 81, 34542, 81, 12937, 32, 978, 7171, 322, 4262, 2297, 330, 978, 14213, 18984, 32147, 203, 1270, 44, 284, 645, 8508, 1396, 81, 12937, 1188, 8551, 45901, 12412, 203, 7343, 29986, 44, 284, 3636, 17221, 1006, 440, 858, 81, 34542, 81, 12937, 32, 978, 7171, 322, 4262, 2297, 330, 34542, 81, 12937, 32147, 203, 15199, 81, 983, 280, 2322, 32, 983, 32, 7781, 4064, 761, 8223, 203, 15199, 81, 983, 280, 18099, 81, 983, 32, 3227, 3247, 858, 33, 9660, 33, 12023, 33, 12937, 370, 9142, 203, 12937, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 15199, 81, 983, 30, 330, 12023, 370, 330, 12937, 683, 203, 3731, 32, 983, 32, 1689, 26, 500, 32, 983, 32, 21379, 26, 12937, 81, 1515, 490, 203, 3731, 32, 983, 32, 2546, 26, 500, 32, 983, 32, 21379, 26, 12937, 81, 1515, 490, 203, 30160, 521, 4920, 5645, 280, 301, 284, 330, 464, 950, 301, 291, 330, 15934, 950, 2107, 3986, 370, 330, 1632, 785, 284, 801, 284, 7610, 2859, 950, 301, 291, 330, 2035, 6862, 950, 301, 324, 330, 3986, 950, 5053, 12256, 950, 330, 3986, 8885, 324, 330, 1632, 950, 5053, 12256, 950, 330, 1632, 6040, 291, 320, 284, 320, 203, 111, 203, 823, 18883, 3080, 26, 1473, 711, 284, 4588, 280, 3177, 284, 2866, 81, 5937, 761, 280, 1665, 284, 2454, 81, 5937, 761, 280, 1665, 284, 3408, 280, 3177, 284, 1149, 280, 2933, 203, 823, 2108, 5047, 45901, 12412, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 2035, 81, 1338, 81, 3255, 81, 6270, 81, 2035, 26, 784, 711, 291, 8508, 105, 280, 8551, 45901, 12412, 26, 944, 47, 2700, 27, 291, 8508, 105, 32, 12937, 280, 4979, 1102, 521, 4920, 5645, 291, 9214, 280, 8508, 105, 32, 371, 81, 2035, 81, 1338, 463, 3986, 683, 291, 5697, 280, 8508, 105, 32, 371, 81, 2035, 81, 1338, 463, 1632, 683, 291, 1201, 9214, 610, 5053, 12256, 950, 330, 3986, 6040, 291, 1201, 5697, 610, 5053, 12256, 950, 330, 1632, 6040, 284, 665, 894, 81, 2245, 81, 3255, 81, 3542, 6766, 81, 605, 26, 784, 711, 291, 11152, 1132, 280, 18883, 3080, 346, 291, 8508, 105, 280, 8551, 45901, 12412, 26, 944, 47, 2700, 27, 291, 8508, 105, 32, 1132, 280, 11152, 1132, 291, 8508, 105, 32, 12937, 280, 4979, 1102, 521, 4920, 5645, 291, 2519, 605, 280, 8508, 105, 32, 2245, 346, 291, 4551, 6766, 280, 3177, 291, 1596, 44, 324, 2361, 32, 12474, 26, 2245, 605, 27, 324, 4551, 6766, 280, 2933, 291, 2940, 44, 324, 3097, 291, 1201, 4551, 6766, 284, 665, 894, 81, 2245, 81, 668, 81, 3255, 81, 3542, 6766, 81, 605, 26, 784, 711, 291, 11152, 1132, 280, 18883, 3080, 346, 291, 8508, 105, 280, 8551, 45901, 12412, 26, 944, 47, 2700, 27, 291, 8508, 105 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 5, 5, 3, 3, 3, 3, 5, 5, 1, 2, 2, 2, 2, 2, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 1, 1, 3, 5, 5, 5, 3, 3, 5, 5, 1, 2, 2, 2, 2, 2, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 4, 6, 6, 4, 6, 6, 0, 5, 4, 5, 3, 4, 3, 7, 6, 7, 5, 6, 5, 6, 6, 6, 5, 0, 5, 4, 5, 3, 4, 3, 7, 6, 7, 5, 6, 5, 6, 6, 6, 5, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 8, 8, 6, 9, 9, 7, 9, 9, 5, 5, 3, 3, 6, 6, 4, 5, 5, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 10, 12, 12, 7, 7, 10, 10, 8, 12, 12, 10, 12, 12, 7, 7, 5, 5, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 8, 8, 10, 9, 10, 8, 4, 4, 8, 7, 8, 6, 6, 7, 7, 7, 7, 4, 4, 6, 6, 9, 8, 9, 9, 9, 9, 9, 8, 10, 10, 4, 4, 6, 6, 9, 8, 9, 9, 9, 9, 9, 8, 10, 10, 4, 4, 5, 6, 6, 10, 10, 8, 10, 10, 4, 4, 5, 6, 6, 10, 10, 8, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 8, 4, 4, 7, 6, 6, 8, 8, 8, 10, 9, 10, 8, 4, 4, 8, 7, 8, 6, 6, 7, 4, 4, 8, 7, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 6, 6, 9, 8, 9, 8, 4, 4, 7, 6, 6, 4, 4, 5, 5, 5, 9, 10, 9, 10, 10, 9, 6, 6, 9, 8, 8, 5, 5, 6, 6, 6, 4, 4, 5, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 8, 4, 4, 7, 6, 6, 8, 8, 8, 10, 9, 10, 8, 4, 4, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 3, 3, 3, 3, 3, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 14, 14, 1, 2, 1, 2, 14, 14, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 15, 15, 1, 1, 1, 2, 0, 1, 2, 2, 15, 15, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 4, 5, 1, 1, 1, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 0, 0, 2, 4, 4, 0, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 4, 4, 6, 6, 6, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 6, 6, 3, 3, 3, 4, 4, 7, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0 ]
[ 465, 316, 203, 1070, 638, 9673, 48869, 269, 5725, 1188, 6116, 8736, 30, 13030, 8736, 203, 81, 1643, 81, 965, 280, 6116, 8736, 922, 1643, 81, 965, 203, 81, 9947, 81, 307, 3625, 307, 280, 308, 41392, 370, 15441, 757, 45, 1425, 2726, 46, 370, 15441, 2159, 45, 1425, 2726, 10154, 15441, 1837, 45, 2847, 203, 81, 4890, 81, 307, 3625, 307, 280, 617, 9947, 81, 307, 3625, 307, 766, 276, 474, 308, 463, 21684, 15441, 2462, 45, 1425, 2726, 78, 96, 370, 330, 5233, 35, 34, 45, 1425, 2726, 78, 100, 370, 330, 5233, 35, 37, 45, 1425, 2726, 78, 102, 370, 330, 5233, 34, 43, 45, 2847, 203, 81, 335, 5734, 81, 13000, 81, 266, 81, 2593, 280, 316, 32, 6993, 26, 103, 25, 13644, 106, 34, 34, 15641, 106, 34, 42, 78, 106, 34, 52, 78, 106, 34, 53, 78, 106, 34, 55, 15641, 106, 35, 56, 78, 42297, 4666, 78, 103, 4139, 26392, 203, 589, 4159, 81, 11731, 26, 878, 711, 284, 442, 617, 1643, 81, 965, 2176, 11731, 26, 878, 490, 203, 589, 5592, 81, 11731, 26, 878, 711, 284, 442, 617, 335, 5734, 81, 13000, 81, 266, 81, 2593, 32, 1113, 22869, 617, 11731, 26, 878, 490, 203, 589, 4159, 81, 1643, 26, 878, 711, 284, 442, 13030, 8736, 922, 1643, 2176, 11731, 26, 878, 490, 203, 589, 3879, 81, 11731, 26, 2437, 711, 284, 5601, 280, 617, 11731, 26, 2437, 30, 617, 4890, 81, 307, 3625, 307, 27, 284, 442, 617, 335, 5734, 81, 13000, 81, 266, 81, 2593, 32, 1113, 22869, 5601, 27, 203, 589, 617, 11731, 26, 878, 30, 40777, 307, 11645, 9947, 81, 307, 3625, 307, 711, 284, 436, 636, 30, 786, 328, 40777, 307, 44, 291, 415, 636, 328, 1344, 44, 23688, 1344, 280, 1344, 32, 3227, 26, 426, 30, 786, 27, 284, 442, 1344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 4, 4, 4, 1, 1, 3, 1, 1, 3, 0, 3, 3, 3, 3, 2, 2, 5, 5, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 6, 4, 6, 6, 6, 3, 6, 6, 4, 6, 6, 6, 3, 6, 4, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 3, 4, 3, 3, 5, 7, 5, 7, 7, 7, 4, 8, 8, 7, 5, 7, 7, 7, 7, 7, 4, 8, 8, 7, 5, 7, 7, 7, 7, 7, 4, 8, 8, 7, 5, 7, 7, 7, 7, 7, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 7, 7, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 5, 7, 7, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 7, 7, 6, 5, 7, 7, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 7, 6, 6, 7, 7, 7, 7, 7, 6, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 5, 5, 0, 1, 1, 2, 2, 3, 2, 2, 4, 3, 4, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 3, 3, 4, 3, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 10, 11, 10, 11, 10, 10, 10, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 3, 1, 1, 2, 2, 1, 5, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 3, 0, 0, 2, 3, 1, 1, 1, 1, 2, 3, 0, 0, 2, 5, 1, 1, 1, 1, 2, 3, 0, 0, 2, 7, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 1, 5, 5, 5, 6, 6, 6, 7, 7, 7, 1, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 10, 10, 1, 2, 1, 2, 2, 0, 3, 2, 2, 2, 2, 2, 2, 10, 10, 0, 1, 1, 0, 0, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 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 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 30, 766, 284, 623, 81, 9849, 203, 465, 2322, 203, 465, 2361, 203, 465, 5237, 203, 465, 622, 2215, 203, 465, 5741, 203, 1070, 11091, 38124, 32, 2282, 1188, 372, 81, 3651, 30, 372, 81, 466, 30, 4600, 4711, 203, 1070, 11091, 38124, 1188, 18884, 203, 28155, 81, 10729, 280, 225, 39, 203, 10529, 280, 225, 34, 203, 589, 1505, 81, 2958, 2262, 284, 3099, 280, 5237, 32, 1648, 81, 1338, 284, 415, 3099, 77, 34, 79, 610, 225, 36, 461, 646, 3099, 77, 35, 79, 2377, 225, 40, 44, 291, 1459, 463, 8312, 225, 36, 32, 40, 29, 2129, 683, 291, 5237, 32, 4775, 26, 35, 27, 284, 4348, 3099, 77, 34, 79, 610, 225, 37, 461, 646, 3099, 77, 35, 79, 2377, 225, 37, 44, 291, 1459, 463, 8312, 225, 37, 32, 37, 29, 2129, 683, 291, 5237, 32, 4775, 26, 35, 27, 284, 4348, 3099, 77, 34, 79, 646, 328, 428, 36, 30, 225, 37, 2786, 291, 1459, 463, 8312, 1503, 646, 5420, 683, 291, 5237, 32, 4775, 26, 35, 27, 203, 589, 1459, 81, 3893, 26, 87, 711, 284, 3649, 9541, 284, 5741, 32, 731, 26, 87, 27, 284, 415, 9541, 848, 225, 34, 44, 291, 1188, 27374, 291, 27374, 32, 1216, 81, 14806, 346, 203, 589, 1459, 81, 7213, 38124, 2262, 284, 1503, 280, 4247, 284, 1596, 44, 291, 1188, 12870, 81, 5379, 291, 1503, 280, 12870, 81, 5379, 32, 371, 81, 13081, 463, 7213, 38124, 1814, 1648, 284, 2940, 3268, 44, 291, 3097, 284, 1459, 463, 10053, 38124, 904, 101, 25, 904, 1503, 27, 203, 589, 2290, 81, 1163, 2262, 284, 1359, 81, 983, 280, 330, 1163, 32, 1260, 25, 284, 415, 2322, 32, 983, 32, 4658, 26, 1163, 81, 983, 711, 291, 442, 1359, 81, 983, 284, 1359, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 4963, 370, 330, 1163, 32, 1260, 683, 284, 415, 2322, 32, 983, 32, 4658, 26, 1163, 81, 983, 711, 291, 442, 1359, 81, 983, 284, 442, 1665, 203, 589, 1505, 81, 1163, 26, 1163, 30, 438, 81, 1696, 711, 284, 415, 1359, 32, 371, 463, 19186, 370, 1665, 27, 610, 330, 4048, 950, 291, 442, 284, 415, 438, 81, 1696, 461, 646, 1359, 32, 371, 463, 2895, 370, 1665, 711, 291, 5741, 32, 731, 463, 2895, 646, 3191, 683, 291, 1459, 81, 4756, 26, 297, 81, 1696, 27, 291, 5237, 32, 4775, 26, 36, 27, 284, 415, 646, 438, 81, 1696, 461, 646, 1359, 32, 371, 463, 2895, 370, 1665, 27, 766, 324, 461, 646, 1359, 32, 371, 463, 625, 81, 2895, 370, 1665, 27, 766, 324, 461, 646, 1359, 32, 371, 463, 4018, 81, 2468, 7831, 291, 5741, 32, 731, 463, 2895, 556, 2601, 81, 2895, 646, 3191, 683, 291, 1459, 81, 4756, 26, 297, 81, 1696, 27, 291, 5237, 32, 4775, 26, 36, 27, 284, 415, 330, 1696, 81, 625, 25, 328, 1359, 44, 291, 1359, 710, 1696, 81, 625, 785, 280, 629, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 3, 3, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 5, 6, 6, 6, 2, 2, 3, 6, 7, 6, 5, 5, 6, 4, 4, 5, 7, 8, 7, 6, 6, 7, 3, 3, 3, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 8, 7, 3, 3, 4, 7, 8, 7, 6, 6, 7, 5, 5, 6, 8, 9, 8, 7, 7, 8, 4, 4, 4, 8, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 8, 9, 8, 9, 8, 3, 3, 4, 6, 7, 6, 5, 5, 5, 7, 6, 6, 7, 6, 4, 4, 8, 10, 10, 10, 10, 10, 5, 5, 8, 9, 8, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 2, 2, 5, 6, 5, 6, 5, 2, 2, 3, 4, 4, 5, 3, 3, 3, 5, 4, 4, 7, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 5, 7, 7, 4, 4, 6, 6, 10, 10, 9, 10, 10, 10, 9, 11, 11, 11, 8, 3, 3, 4, 4, 4, 4, 2, 2, 5, 8, 8, 8, 8, 8, 6, 6, 5, 0, 1, 1, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 6, 7, 5, 6, 5, 6, 6, 6, 5, 3, 3, 5, 6, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 6, 8, 6, 8, 8, 8, 8, 2, 2, 3, 6, 7, 5, 6, 5, 6, 6, 6, 5, 3, 3, 5, 6, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 6, 7, 6, 8, 8, 6, 6, 4, 4, 6, 6, 3, 3, 2, 2, 3, 5, 5, 4, 4, 5, 7, 8, 7, 9, 9, 7, 7, 3, 3, 7, 8, 7, 9, 9, 9, 9, 4, 4, 7, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 7, 8, 8, 6, 6, 7, 9, 10, 9, 11, 11, 9, 9, 5, 6, 5, 5, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 4, 5, 4, 4, 5, 7, 8, 7, 9, 9, 9, 9, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 6, 6, 6, 6, 4, 4, 3, 3, 3, 7, 9, 9, 9, 9, 6, 6, 8 ]
[ 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, 0, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 10, 10, 1, 1, 2, 10, 10, 0, 0, 2, 2, 2, 2, 4, 4, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 5, 0, 2, 0, 1, 1, 1, 1, 2, 2, 3, 2, 5, 5, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 2, 0, 3, 3, 0, 2, 2, 2, 1, 0, 12, 12, 1, 1, 1, 2, 12, 12, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 3, 3, 3, 3, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 13, 13, 1, 1, 2, 13, 13, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 0, 14, 14, 1, 1, 2, 1, 2, 2, 3, 3, 2, 14, 14, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 4, 4, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 3, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 1, 1, 3, 3, 3, 0, 1, 1, 1, 2, 0, 0, 1 ]
[ 1070, 8607, 1188, 7169, 203, 1070, 26921, 1188, 19052, 4321, 81, 4627, 203, 1070, 29346, 32, 1637, 1188, 1938, 81, 858, 203, 823, 9838, 10248, 4321, 26, 1637, 81, 858, 32, 1969, 1006, 711, 334, 665, 1156, 1664, 3207, 784, 711, 284, 2599, 26, 30500, 4321, 30, 630, 14585, 1664, 16369, 284, 630, 1114, 7370, 81, 7263, 280, 1665, 284, 630, 1114, 22285, 4321, 81, 4627, 280, 1665, 334, 477, 17614, 334, 665, 6028, 518, 9610, 2031, 26, 6933, 30, 2075, 711, 284, 2075, 32, 6551, 9113, 9610, 3080, 12664, 4898, 31, 9873, 31, 17411, 299, 683, 284, 2075, 32, 6551, 9113, 9610, 3080, 12664, 11251, 31, 5057, 47, 6565, 683, 284, 2075, 32, 6551, 9113, 9610, 3080, 12664, 10333, 31, 16257, 31, 17411, 683, 284, 7169, 32, 6768, 9141, 32, 3402, 518, 9610, 2031, 26, 2184, 27, 334, 665, 13508, 2130, 9610, 26, 784, 30, 5624, 711, 284, 630, 1114, 7370, 81, 7263, 280, 7169, 32, 6768, 9141, 26, 5134, 27, 334, 665, 13508, 29207, 705, 1969, 26, 784, 30, 1938, 30, 4878, 711, 284, 630, 1114, 7370, 81, 7263, 32, 2130, 26, 1637, 30, 4878, 27, 284, 630, 1114, 22285, 4321, 81, 4627, 280, 19052, 4321, 81, 4627, 32, 30500, 4321, 1917, 346, 284, 630, 1114, 22285, 4321, 81, 4627, 32, 37333, 26, 1637, 30, 4878, 27, 334, 665, 13508, 2529, 7105, 26, 784, 30, 1938, 30, 4878, 711, 284, 630, 1114, 22285, 4321, 81, 4627, 32, 2130, 26, 3007, 27, 334, 665, 19231, 2529, 7105, 26, 784, 30, 1938, 30, 4878, 711, 284, 630, 1114, 7370, 81, 7263, 32, 6495, 26, 1637, 30, 4878, 27, 284, 630, 1114, 22285, 4321, 81, 4627, 32, 6495, 26, 3007, 27, 334, 665, 12888, 2185, 10622, 1969, 26, 784, 30, 1938, 30, 4878, 30, 3276, 711, 284, 630, 1114, 7370, 81, 7263, 32, 1103, 5472, 26, 3007, 30, 3276, 27, 284, 630, 1114, 22285, 4321, 81, 4627, 32, 1103, 5472, 26, 3007, 30, 3276, 27, 334, 665, 14106, 1386, 5125, 1969, 26, 784, 30, 1938, 30, 4878, 711, 284, 415, 630, 1114, 7370, 81, 7263, 44, 397, 630, 1114, 7370, 81, 7263, 32, 6495, 26, 1637, 30, 4878, 27, 284, 415, 630, 1114, 22285, 4321, 81, 4627, 44, 397, 630, 1114, 22285, 4321, 81, 4627, 32, 10780, 1386, 26, 3007, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 8, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 5, 5, 8, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 5, 5, 8, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 5, 5, 9, 10, 10, 8, 9, 9, 9, 9, 8, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 9, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 9, 9, 9, 7, 8, 7, 8, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 8, 9, 9, 9, 9, 7, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 9, 9, 9, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 9, 9, 9, 7, 8, 7, 8, 7, 7, 7, 4, 4, 8, 9, 9, 9, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 8, 9, 9, 9, 7, 8, 8, 7, 8, 7, 7, 7, 4, 4, 8, 9, 9, 9, 9, 7, 8, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 10, 11, 11, 11, 9, 10, 9, 10, 9, 9, 9, 4, 4, 5, 6, 7, 7, 7, 7, 5, 5, 5, 10, 11, 11, 11, 11, 9, 10, 10, 9, 10, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 6, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 6, 6, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 7, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 7, 7, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 7138, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 46474, 203, 1070, 3089, 749, 98, 32, 4280, 1188, 308, 5807, 81, 8094, 81, 5241, 81, 9302, 30, 6029, 4040, 81, 8094, 81, 31141, 81, 9302, 27, 203, 823, 25943, 81, 1174, 81, 928, 26, 494, 32, 1243, 711, 284, 617, 6815, 280, 313, 16842, 32, 1174, 32, 928, 20, 284, 665, 617, 7924, 81, 928, 81, 15480, 81, 770, 26, 784, 30, 1628, 81, 839, 30, 1619, 47, 2521, 711, 291, 2340, 81, 1174, 280, 1628, 81, 839, 32, 1174, 81, 314, 32, 770, 81, 1174, 291, 2340, 81, 1174, 280, 7138, 32, 6665, 32, 44832, 26, 770, 81, 1174, 30, 4180, 4040, 81, 8094, 81, 5241, 81, 9302, 27, 291, 442, 2340, 81, 1174, 474, 7138, 32, 32888, 26, 6124, 47, 928, 81, 839, 32, 7843, 27, 284, 665, 617, 371, 81, 928, 81, 2645, 26, 784, 30, 1628, 81, 839, 30, 1619, 47, 2521, 711, 291, 442, 1628, 81, 839, 32, 1174, 81, 314, 32, 5565, 81, 314, 32, 26847, 81, 314, 32, 2499, 81, 9729, 81, 314, 32, 314, 284, 665, 883, 81, 2501, 81, 269, 81, 15480, 81, 770, 26, 784, 30, 5564, 30, 12373, 30, 456, 81, 314, 30, 1619, 47, 2521, 711, 291, 415, 1619, 438, 1665, 44, 324, 1619, 280, 2149, 291, 18315, 81, 2067, 280, 630, 32, 5178, 710, 2445, 32, 2445, 785, 291, 415, 6937, 26, 94, 81, 314, 30, 308, 7288, 30, 1149, 8531, 324, 1201, 2069, 26, 94, 81, 314, 27, 610, 225, 35, 30, 313, 4495, 1591, 804, 5420, 20, 324, 456, 81, 314, 280, 456, 81, 314, 77, 34, 79, 291, 1628, 280, 630, 32, 14304, 26, 2446, 30, 12373, 30, 456, 81, 314, 30, 1619, 47, 1819, 27, 291, 415, 646, 1628, 32, 2445, 81, 314, 556, 1628, 32, 681, 863, 330, 2682, 81, 452, 81, 9729, 950, 324, 442, 2933, 291, 18198, 81, 770, 280, 630, 1114, 7924, 81, 928, 81, 15480, 81, 770, 26, 928, 30, 1619, 47, 1819, 27, 291, 3692, 280, 1619, 32, 2991, 346, 291, 3692, 710, 452, 81, 770, 785, 280, 18198, 81, 770, 32, 20834, 26, 5807, 81, 8094, 81, 31141, 81, 9302, 27, 291, 3692, 710, 2645, 785, 280, 630, 1114, 371, 81, 928, 81, 2645, 26, 928, 30, 1619, 47, 1819, 27, 291, 3692, 710, 7924, 81, 2661, 785, 280, 2933, 291, 18315, 81, 979, 81, 5002, 81, 15175, 280, 18315, 81, 2067, 32, 850, 26, 2446, 30, 12373, 30, 1628, 32, 2445, 81, 314, 32, 314, 30, 13687, 2107, 5002, 81, 7230, 2188, 13687, 1619, 47, 2095, 27, 291, 415, 18315, 81, 979, 81, 5002, 81, 15175, 710, 5002, 81, 7230, 785, 333, 1628, 32, 2445, 81, 103, 418, 81, 15175, 44, 324, 442, 3177, 291, 442, 2933, 284, 665, 617, 371, 81, 10615, 26, 784, 711, 291, 442, 2726, 21110, 370, 330, 22704, 370, 330, 20448, 683, 284, 665, 617, 371, 81, 31316, 81, 4419, 26, 291, 630, 30, 5564, 30, 3894, 81, 314, 30, 4054, 81, 314, 30, 18198, 81, 770, 30, 1619, 47 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 7, 8, 8, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9, 9, 9, 8, 4, 4, 5, 7, 7, 6, 6, 8, 9, 8, 10, 9, 11, 11, 11, 10, 11, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 5, 11, 11, 10, 11, 11, 11, 9, 10, 10, 10, 8, 9, 9, 9, 7, 8, 8, 8, 8, 8, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 4, 4, 7, 7, 6, 6, 8, 9, 7, 9, 9, 9, 9, 4, 4, 5, 7, 8, 8, 8, 7, 7, 9, 8, 8, 8, 5, 5, 7, 10, 11, 11, 11, 10, 8, 8, 9, 7, 7, 9, 9, 9, 9, 9, 6, 6, 9, 9, 8, 8, 10, 10, 9, 10, 9, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 8, 8, 9, 9, 8, 8, 9, 10, 8, 4, 4, 5, 7, 8, 9, 9, 9, 6, 6, 8, 9, 7, 7, 9, 9, 9, 9, 9, 9, 5, 5, 7, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 10, 8, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 9, 9, 9, 9, 6, 6, 9, 9, 8, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 9, 9, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 10, 8, 4, 4, 7, 9, 9, 9, 9, 6, 6, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 9, 9, 8, 9, 8, 9, 8, 8, 8, 8, 10, 11, 11, 11, 9, 10, 8, 8, 8, 11, 11, 11, 11, 8, 8, 9, 10, 8, 4, 4, 5, 8, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 6, 6, 7, 8, 8, 8, 8, 8, 8, 5, 5, 5, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 6, 8, 8, 6, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 3, 3, 1, 1, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 4, 4, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 2, 9, 2, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 2, 1, 4, 4, 4, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 1, 1, 1, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 5, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 9, 2, 1, 4, 4, 11, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 11, 11, 11, 0, 4, 4, 12, 4, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 9, 9, 2, 2, 11 ]
[ 505, 2116, 505, 280, 330, 47204, 475, 6771, 266, 25, 203, 505, 770, 505, 280, 330, 48426, 225, 36, 34, 35, 38, 25, 203, 505, 11794, 505, 280, 15584, 53, 27, 225, 36, 34, 35, 38, 30, 29118, 475, 6771, 266, 25, 203, 21, 203, 505, 13411, 505, 280, 8493, 2207, 6069, 58, 22, 25, 203, 465, 8202, 203, 1070, 2678, 21031, 32, 1262, 1188, 1910, 5360, 3487, 30, 1910, 5360, 4228, 1104, 203, 1070, 8202, 32, 1262, 32, 10632, 10448, 32551, 1188, 16281, 10448, 32551, 203, 1070, 8202, 32, 1262, 32, 5138, 1188, 10901, 2863, 203, 1070, 8202, 32, 1262, 32, 5138, 1188, 10901, 5374, 203, 1070, 8202, 32, 1262, 32, 10931, 1188, 5582, 2863, 203, 1070, 8202, 32, 1262, 32, 10632, 10448, 1188, 16281, 10448, 203, 1070, 8202, 32, 1262, 32, 5138, 1188, 10901, 652, 203, 823, 6608, 1083, 3487, 26, 10632, 10448, 711, 284, 43786, 527, 2474, 280, 330, 21199, 2474, 25, 284, 10190, 1016, 47, 330, 43282, 25, 284, 20336, 280, 330, 6383, 25, 284, 28275, 280, 330, 9544, 25, 284, 23163, 4135, 280, 2107, 19661, 537, 7798, 370, 330, 2366, 372, 1550, 7798, 370, 3083, 330, 268, 26171, 645, 1550, 7798, 785, 284, 665, 5597, 6881, 5603, 26, 784, 711, 291, 630, 32, 426, 280, 330, 1908, 810, 6101, 25, 291, 630, 32, 1363, 280, 330, 2863, 7798, 8684, 25, 291, 630, 32, 669, 3012, 26, 3012, 2863, 26, 784, 32, 21199, 2474, 30, 324, 630, 32, 359, 463, 1612, 15200, 1425, 428, 3012, 2863, 32, 19459, 81, 2319, 81, 15205, 5259, 291, 630, 32, 669, 3012, 26, 3012, 652, 26, 784, 32, 43282, 30, 324, 630, 32, 359, 440, 3487, 14036, 291, 630, 32, 669, 3012, 26, 3012, 5374, 26, 784, 32, 9544, 30, 324, 630, 32, 359, 463, 14504, 1550, 7798, 810, 1425, 630, 32, 18260, 4135, 30, 225, 34, 490, 291, 630, 32, 669, 2301, 26, 2301, 2863, 26, 784, 32, 6383, 30, 630, 32, 359, 463, 2301, 1425, 2933, 490, 284, 665, 2164, 10448, 26, 784, 30, 6538, 711, 291, 4870, 280, 630, 32, 17761, 882, 26, 784, 32, 21199, 2474, 27, 291, 5396, 280, 8202, 32, 19734, 26, 3607, 27, 291, 3610, 5374, 280, 739, 26, 1823, 32, 4347, 9554, 5332, 1157, 291, 1411, 280, 630, 32, 17761, 882, 26, 784, 32, 9544, 27, 291, 588, 351, 6101, 280, 630, 32, 17761, 882, 26, 784, 32, 43282, 27, 291, 2678, 3866, 280, 1910, 5360, 3487, 26, 7672, 27, 291, 415, 646, 2678, 3866, 32, 2040, 2825, 924, 2262, 324, 2678, 7635, 280, 1910, 5360, 4228, 1104, 26, 99, 3866, 27, 291, 813, 44, 324, 3636, 16281, 10448, 32551, 26, 99, 3866, 32, 3922, 924, 652, 1157, 291, 4324, 280, 428, 88, 32, 314, 346, 436, 296, 328, 5396, 32, 371, 9554, 26, 99, 7635, 2177, 291, 415, 1411, 610, 225, 35, 44, 324, 4324, 280, 1149, 26, 1455, 5374, 32, 13304, 26, 4347, 490, 291, 4348, 1411, 610, 225, 36, 44, 324, 4324, 280, 1149, 26, 1455, 5374, 32, 21034, 26, 4347, 490, 291, 588, 351, 5396, 32, 26662, 9554, 26, 4347 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 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, 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, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 5, 4, 4, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 4, 4, 7, 8, 8, 7, 9, 9, 9, 11, 10, 11, 11, 9, 9, 9, 11, 12, 11, 13, 13, 13, 9, 12, 12, 11, 12, 12, 12, 12, 12, 10, 4, 4, 7, 8, 8, 7, 9, 9, 9, 11, 10, 11, 9, 9, 9, 11, 12, 11, 13, 13, 4, 4, 7, 8, 8, 7, 9, 9, 9, 11, 10, 11, 9, 9, 9, 11, 12, 11, 13, 13, 13, 13, 13, 9, 10, 11, 11, 9, 9, 10, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 11, 10, 11, 9, 9, 11, 12, 11, 13, 13, 9, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 8, 10, 9, 10, 10, 8, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 6, 6, 8, 11, 10, 11, 11, 11, 10, 4, 4, 6, 6, 8, 9, 9, 8, 10, 9, 10, 8, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 7, 6, 6, 8, 8, 8, 9, 8, 4, 4, 5, 6, 9, 8, 9, 9, 9, 8, 5, 5, 9, 8, 8, 10, 10, 10, 10, 11, 11, 10, 5, 5, 6, 6, 6, 8, 10, 10, 10, 13, 13, 12, 13, 13, 13, 12, 4, 4, 6, 6, 10, 9, 10, 9, 7, 8, 8, 8, 10, 11, 11, 10, 11, 11, 10, 4, 4, 5, 6, 6, 7, 5, 5, 5, 8, 8, 10, 13, 13, 12, 13, 12, 13, 12, 5, 5, 6, 7, 7, 8, 6, 6, 6, 9, 9, 11, 14, 14, 13, 14, 13, 14, 13, 4, 4, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 4, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 11, 11, 1, 2, 1, 4, 4, 11, 11, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 13, 13, 1, 1, 2, 1, 1, 2, 13, 13, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 5, 4, 4, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 1, 1, 7, 1, 4, 4, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 4, 4, 6, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 6, 1, 0, 0, 2, 2, 2, 1, 6, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 6, 6, 4, 4, 4, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 8, 1, 1, 2, 8, 8, 8, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 8, 8, 4, 1, 1, 2, 4, 4, 4, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 4, 4, 9, 9, 9, 9, 9, 9, 9 ]
[ 1070, 2417, 1188, 4527, 30, 13489, 203, 465, 10245, 203, 1070, 2417, 1188, 33790, 203, 1070, 2417, 1188, 3738, 619, 5552, 2516, 203, 1070, 638, 1439, 1188, 447, 13308, 22989, 30, 766, 400, 25042, 8115, 30, 25042, 5541, 2626, 568, 265, 30, 25042, 18308, 9841, 400, 617, 37607, 81, 15630, 30, 617, 10301, 81, 15630, 30, 617, 1844, 81, 15630, 203, 823, 617, 7649, 12930, 26, 2602, 2516, 32, 12930, 711, 284, 665, 1056, 81, 10075, 26, 784, 30, 38043, 30, 932, 681, 711, 291, 415, 630, 32, 302, 12710, 44, 324, 415, 932, 681, 328, 617, 10301, 81, 15630, 44, 400, 442, 33790, 32, 452, 81, 12710, 81, 10075, 81, 5792, 26, 1891, 10245, 32, 7697, 30, 1891, 630, 1114, 27129, 81, 12710, 81, 601, 81, 3804, 27, 324, 4348, 932, 681, 328, 617, 37607, 81, 15630, 556, 932, 681, 328, 617, 1844, 81, 15630, 44, 400, 442, 1665, 324, 813, 44, 400, 3636, 13489, 32, 3817, 1104, 924, 26, 1014, 313, 5842, 25042, 12738, 827, 44, 904, 86, 20, 904, 932, 681, 27, 291, 813, 44, 324, 415, 932, 681, 328, 617, 10301, 81, 15630, 44, 400, 442, 1665, 324, 4348, 932, 681, 328, 617, 37607, 81, 15630, 556, 932, 681, 328, 617, 1844, 81, 15630, 44, 400, 442, 33790, 32, 452, 81, 1808, 324, 813, 44, 400, 3636, 13489, 32, 3817, 1104, 924, 26, 1014, 313, 5842, 25042, 12738, 827, 44, 904, 86, 20, 904, 932, 681, 27, 203, 823, 617, 7649, 12930, 2023, 3726, 2176, 7649, 12930, 711, 284, 665, 5111, 81, 10075, 26, 784, 30, 38043, 711, 291, 442, 1665, 203, 823, 25042, 18308, 81, 2323, 42, 34, 34, 34, 26, 7649, 18308, 711, 284, 3097, 203, 823, 25042, 8115, 81, 2323, 42, 34, 34, 34, 26, 7649, 8115, 711, 284, 665, 7725, 81, 1803, 81, 7003, 26, 784, 30, 5298, 30, 4134, 30, 1115, 4124, 711, 291, 442, 630, 32, 2416, 26, 7003, 32, 1873, 30, 1115, 4124, 27, 474, 313, 12846, 313, 474, 766, 715, 630, 32, 2416, 26, 7003, 32, 990, 30, 1115, 4124, 27, 284, 665, 2364, 81, 2416, 81, 878, 26, 784, 30, 1344, 711, 291, 415, 330, 1784, 25, 328, 1344, 44, 324, 4527, 32, 8447, 440, 1318, 4428, 43139, 37914, 38043, 313, 2855, 313, 2174, 6924, 40777, 307, 47268, 328, 1344, 346, 313, 2855, 313, 23483, 372, 330, 1784, 2473, 657, 291, 442, 1344, 32, 3227, 15339, 370, 330, 1784, 683, 203, 823, 25042, 5541, 2626, 568, 265, 81, 2323, 42, 34, 34, 34, 26, 7649, 5541, 2626, 568, 265, 711, 284, 665, 617, 11731, 81, 7895, 26, 784, 30, 786, 711, 291, 786, 280, 786, 32, 3227, 26, 784, 32, 11731, 81, 7345, 30, 630, 32, 11731, 81, 452, 81, 7345, 27, 291, 442, 786, 32, 3227, 15339, 370, 330, 1784, 683, 203, 823, 447, 13308, 22989, 81, 2323, 42, 34, 34, 34, 26, 7649, 37850, 711, 284, 5398, 280, 330, 2323, 42, 34, 34, 34, 25, 284, 9567, 81, 9941, 81, 23142, 280, 2933, 284, 9567, 81, 9941, 81, 2539, 101, 280, 2933, 284, 1244, 81, 753, 1621 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 2, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 1, 2, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 5, 5, 5, 7, 9, 8, 8, 9, 9, 9, 7, 7, 7, 9, 11, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 12, 13, 11, 11, 11, 12, 13, 13, 13, 13, 13, 13, 13, 11, 7, 7, 8, 11, 10, 10, 11, 11, 11, 9, 9, 11, 10, 10, 11, 11, 11, 8, 8, 8, 10, 7, 7, 8, 8, 8, 10, 12, 13, 13, 13, 12, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 14, 12, 5, 5, 6, 6, 6, 8, 10, 9, 9, 10, 10, 10, 8, 8, 8, 10, 8, 8, 9, 12, 11, 11, 12, 12, 12, 10, 10, 12, 11, 11, 12, 12, 12, 9, 9, 9, 11, 12, 13, 13, 13, 8, 8, 9, 9, 9, 11, 13, 14, 14, 14, 13, 13, 13, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 15, 13, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 4, 3, 3, 5, 9, 10, 9, 11, 10, 11, 9, 9, 11, 9, 7, 7, 9, 9, 6, 6, 7, 6, 8, 9, 8, 10, 9, 10, 8, 8, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 8, 6, 6, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 4, 4, 5, 7, 8, 7, 9, 7, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 10, 10, 8, 4, 4, 5, 7, 8, 7, 9, 7, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 0, 4, 4, 0, 4, 4, 0, 0, 4, 4, 5, 4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 12, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 5, 5, 1, 1, 2, 0, 0, 1, 2, 2, 5, 5, 0, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 4, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 5, 5, 5, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 4, 4, 4, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 4, 4, 4, 0, 1, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 2, 6, 6, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 7, 7, 0, 8, 8, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 8, 8, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 2, 1, 1, 2, 0, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 9, 9, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 1, 0, 2, 1, 2, 1, 1, 2, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 10, 10, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0 ]
[ 1070, 1283, 1423, 32, 2208, 1356, 32, 984, 1188, 25439, 265, 984, 30, 766, 2476, 23917, 924, 30, 766, 2476, 13005, 924, 203, 823, 25439, 265, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 4118, 81, 6933, 30, 319, 1132, 30, 1115, 5321, 711, 291, 630, 32, 3922, 81, 6933, 647, 280, 4118, 81, 6933, 291, 630, 32, 3922, 81, 6933, 81, 1132, 280, 2181, 291, 630, 32, 3607, 351, 280, 1665, 291, 630, 32, 1131, 2264, 280, 4247, 291, 630, 32, 1131, 81, 1322, 264, 280, 225, 34, 291, 630, 32, 1700, 81, 1594, 264, 280, 225, 34, 291, 630, 32, 2135, 81, 1594, 958, 280, 225, 34, 291, 630, 32, 1956, 81, 2668, 264, 280, 1665, 291, 630, 32, 23151, 263, 280, 1605, 291, 630, 32, 2811, 2264, 280, 10306, 32, 371, 463, 2811, 370, 3177, 27, 284, 665, 739, 81, 23151, 26, 784, 30, 21384, 711, 291, 630, 32, 23151, 32, 1689, 26, 23151, 27, 291, 630, 32, 1956, 81, 2668, 280, 1665, 284, 665, 11309, 81, 23151, 26, 784, 711, 291, 630, 32, 23151, 32, 3235, 346, 291, 630, 32, 1956, 81, 2668, 280, 1665, 284, 665, 2530, 26, 784, 711, 291, 415, 630, 32, 1700, 81, 1594, 2377, 630, 32, 1131, 81, 1322, 44, 324, 630, 32, 1956, 81, 2668, 280, 2726, 9471, 370, 9142, 324, 442, 291, 436, 2404, 81, 681, 30, 2404, 81, 7920, 328, 630, 32, 23151, 6448, 35, 2786, 324, 2530, 280, 2404, 81, 7920, 32, 2872, 26, 784, 32, 1131, 30, 630, 32, 1700, 81, 1594, 27, 324, 415, 2530, 438, 646, 1665, 44, 400, 630, 32, 1956, 81, 2668, 280, 308, 1956, 81, 681, 30, 2530, 32, 1363, 26, 34, 490, 400, 442, 291, 943, 261, 280, 630, 32, 1131, 32, 1809, 9442, 96, 370, 630, 32, 1700, 81, 1594, 474, 225, 36, 27, 291, 1048, 280, 330, 3817, 8345, 44, 904, 101, 25, 904, 26542, 26, 784, 32, 1131, 77, 784, 32, 1700, 81, 1594, 44, 416, 1130, 291, 630, 32, 8144, 81, 731, 26, 731, 27, 284, 665, 617, 371, 81, 928, 81, 2171, 81, 1070, 81, 1594, 26, 784, 30, 1351, 711, 291, 442, 630, 32, 1131, 2867, 1594, 997, 998, 9442, 96, 683, 474, 225, 35, 284, 665, 617, 371, 81, 1700, 81, 928, 81, 2171, 26, 784, 711, 291, 442, 630, 1114, 371, 81, 928, 81, 2171, 81, 1070, 81, 1594, 26, 784, 32, 1700, 81, 1594, 27, 284, 665, 617, 371, 81, 928, 26, 784, 30, 1451, 711, 291, 442, 630, 32, 1131, 32, 2998, 9442, 96, 11968, 2171, 429, 225, 35, 79, 284, 665, 622, 81, 1700, 81, 928, 26, 784, 711, 291, 1628, 280, 630, 1114, 371, 81, 1700, 81, 928, 81, 2171, 346, 291, 442, 630, 1114, 371, 81, 928, 26, 928, 27, 284, 665, 617, 371, 81, 928, 81, 1070, 81, 1594, 26, 784, 30, 1351, 711, 291, 1628, 280, 630, 1114, 371, 81, 928, 81, 2171, 81, 1070, 81, 1594, 26, 1594, 27, 291, 442, 630, 1114, 371, 81, 928, 26, 928, 27, 284, 665, 617, 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, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 1, 1, 2, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 6, 4, 4, 7, 8, 6, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 6, 4, 4, 7, 8, 6, 6, 6, 4, 4, 7, 8, 6, 6, 6, 8, 9, 8, 10, 10, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 5, 5, 5, 9, 10, 10, 10, 8, 8, 11, 11, 9, 6, 6, 4, 4, 5, 7, 7, 6, 6, 7, 7, 5, 5, 7, 8, 6, 8, 6, 5, 5, 8, 8, 11, 11, 10, 11, 10, 12, 11, 12, 10, 10, 11, 12, 12, 12, 10, 6, 6, 7, 8, 8, 8, 7, 7, 7, 11, 12, 12, 12, 10, 10, 12, 12, 12, 11, 11, 13, 14, 13, 14, 13, 8, 8, 4, 4, 6, 6, 6, 9, 10, 8, 9, 8, 11, 10, 8, 10, 11, 11, 11, 9, 9, 10, 8, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 9, 12, 11, 12, 10, 13, 12, 13, 13, 13, 11, 12, 10, 4, 4, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 10, 11, 9, 11, 9, 9, 8, 11, 10, 6, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 9, 10, 8, 9, 8, 11, 10, 8, 7, 7, 8, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 5, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 5, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4 ]
[ 0, 0, 0, 1, 2, 2, 1, 4, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 8, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 3, 3, 4, 4, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 3, 1, 3, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 3, 3, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 3, 3, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 6, 1, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 4, 4, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 8, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 9, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 465, 2322, 203, 1070, 28520, 32, 4275, 32, 6045, 81, 8352, 1188, 319, 203, 823, 35603, 924, 26, 984, 711, 284, 5881, 284, 1348, 438, 322, 1695, 443, 436, 1169, 3878, 19565, 645, 35603, 1340, 30, 284, 461, 883, 526, 30972, 623, 3134, 5302, 3377, 21861, 322, 284, 1048, 1474, 372, 3498, 4946, 16360, 2471, 438, 11067, 284, 1412, 322, 1048, 12330, 2218, 11708, 312, 706, 803, 432, 1629, 6186, 32, 284, 10484, 44, 291, 3636, 35603, 924, 463, 6060, 1474, 2442, 370, 2830, 47, 2067, 30, 2519, 81, 1286, 47, 1815, 27, 284, 18366, 313, 2067, 20, 438, 1629, 22948, 432, 28520, 32, 26801, 32, 6045, 32, 5740, 32, 1045, 21581, 1761, 26851, 959, 30, 284, 1510, 1395, 526, 4717, 810, 322, 45402, 346, 443, 32, 284, 5881, 284, 665, 1156, 1664, 3207, 784, 30, 1474, 30, 2830, 47, 2521, 30, 2519, 81, 1286, 47, 1815, 711, 291, 645, 28520, 32, 26801, 32, 6045, 32, 5740, 1188, 35603, 1761, 26851, 959, 291, 630, 1114, 2067, 280, 2830, 291, 630, 1114, 2245, 81, 1286, 280, 2519, 81, 1286, 291, 415, 2830, 461, 6937, 26, 2067, 30, 35603, 1761, 26851, 959, 711, 324, 13969, 81, 731, 280, 630, 1114, 371, 81, 17042, 81, 731, 346, 324, 415, 13969, 81, 731, 44, 400, 630, 32, 1436, 280, 330, 2930, 19, 904, 101, 78, 96, 78, 96, 23, 101, 25, 904, 308, 1436, 30, 13969, 81, 731, 27, 291, 813, 44, 324, 630, 32, 1436, 280, 330, 2930, 19, 904, 101, 25, 904, 1474, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 630, 32, 1436, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 630, 32, 1436, 284, 665, 617, 371, 81, 731, 81, 4446, 81, 1070, 81, 761, 26, 784, 30, 803, 81, 426, 30, 1628, 81, 2171, 711, 291, 5881, 291, 3759, 322, 1628, 328, 322, 803, 1510, 5296, 4039, 3210, 372, 322, 14527, 1048, 291, 3894, 30, 619, 4487, 619, 322, 1628, 46051, 561, 308, 325, 322, 1048, 4142, 646, 291, 13791, 544, 322, 1932, 1628, 471, 372, 2355, 1619, 372, 322, 1048, 32, 291, 5881, 291, 1760, 81, 928, 280, 4247, 291, 7323, 81, 928, 280, 4247, 291, 623, 2156, 26, 761, 81, 426, 30, 330, 100, 683, 619, 296, 44, 324, 5430, 280, 296, 32, 33232, 346, 324, 1760, 81, 928, 280, 5430, 77, 928, 81, 2171, 79, 324, 415, 1628, 81, 2171, 848, 225, 34, 44, 400, 7323, 81, 928, 280, 5430, 77, 928, 81, 2171, 429, 225, 35, 79, 291, 442, 308, 1977, 81, 928, 30, 7323, 81, 928, 27, 284, 665, 617, 371, 81, 17042, 81, 731, 26, 784, 711, 291, 5881, 291, 15273, 600, 1300, 15945, 322, 3894, 432, 322, 3756, 328, 312, 803, 30, 442, 291, 16360, 2471, 12047, 561, 6237, 44, 616, 319, 322, 1628, 1510, 16268, 322, 1048, 619, 4487, 619, 322, 1591, 46051, 561, 616, 319, 15663, 461, 20051, 316, 1967, 732, 436, 4942, 8345, 3878, 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, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 7, 6, 7, 6, 7, 5, 5, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 5, 6, 6, 8, 9, 8, 8, 9, 9, 9, 8, 5, 5, 9, 9, 8, 8, 10, 11, 11, 11, 11, 11, 10, 6, 6, 7, 8, 8, 7, 7, 7, 11, 12, 10, 10, 13, 13, 13, 13, 14, 14, 14, 14, 13, 13, 13, 11, 11, 13, 12, 12, 13, 13, 12, 5, 5, 6, 6, 6, 10, 11, 9, 9, 12, 12, 12, 12, 12, 10, 10, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 6, 6, 4, 4, 7, 7, 6, 6, 4, 4, 5, 10, 11, 11, 11, 10, 10, 12, 12, 8, 8, 5, 5, 5, 8, 8, 10, 11, 10, 6, 6, 9, 9, 8, 8, 9, 10, 10, 10, 9, 6, 6, 7, 9, 9, 8, 8, 9, 7, 7, 7, 11, 11, 10, 10, 11, 13, 13, 13, 12, 12, 13, 11, 4, 4, 5, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 3, 4, 4, 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, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 4, 4, 3, 3, 0, 4, 4, 1, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 1, 1, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 3, 4, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 3, 3, 3, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 5, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 8527, 32, 1199, 1188, 4549, 203, 823, 18711, 26, 3378, 32, 1243, 711, 284, 3583, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 30, 1244, 1057, 1347, 1166, 370, 5799, 47, 1815, 27, 284, 3048, 280, 4549, 32, 10215, 26, 1693, 47, 1815, 30, 11771, 47, 1815, 27, 284, 665, 1156, 9941, 3207, 784, 711, 291, 442, 1044, 15860, 101, 20, 904, 308, 784, 32, 2011, 27, 284, 443, 11985, 44, 291, 19404, 280, 2107, 2011, 785, 203, 823, 13657, 13559, 26, 3378, 32, 1243, 711, 284, 786, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 27, 284, 3048, 280, 4549, 32, 10215, 26, 1693, 47, 1815, 30, 11771, 47, 1815, 27, 284, 665, 1156, 9941, 3207, 784, 711, 291, 442, 1044, 15860, 101, 20, 904, 308, 784, 32, 853, 27, 203, 823, 9707, 26, 3378, 32, 1243, 711, 284, 636, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 27, 284, 10064, 81, 1003, 280, 4549, 32, 36172, 26, 2837, 81, 2174, 81, 669, 47, 1815, 27, 284, 2401, 81, 10454, 280, 4549, 32, 36172, 26, 2837, 81, 2174, 47, 1815, 27, 284, 3048, 280, 4549, 32, 10215, 26, 1693, 47, 1815, 30, 11771, 47, 1815, 27, 284, 4504, 81, 2310, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 30, 744, 47, 1815, 30, 11771, 47, 1815, 27, 284, 3583, 280, 4549, 32, 46046, 1176, 463, 5916, 370, 11771, 47, 1815, 27, 284, 1503, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 27, 284, 2652, 81, 314, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 27, 284, 1914, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 27, 284, 16500, 81, 1003, 280, 4549, 32, 36172, 26, 1693, 47, 1815, 30, 11771, 47, 1815, 27, 284, 42927, 81, 31885, 280, 4549, 32, 46046, 1176, 463, 1027, 4827, 10455, 370, 11771, 47, 1815, 27, 284, 24405, 101, 280, 4549, 32, 46046, 1176, 463, 18409, 370, 11771, 47, 1815, 27, 284, 40871, 280, 4549, 32, 46046, 1176, 463, 12471, 370, 11771, 47, 1815, 27, 284, 23440, 101, 280, 4549, 32, 46046, 1176, 463, 11597, 370, 11771, 47, 1815, 27, 284, 273, 34825, 280, 4549, 32, 46046, 1176, 463, 70, 2328, 370, 11771, 47, 1815, 27, 284, 665, 1156, 9941, 3207, 784, 711, 291, 442, 1044, 15860, 101, 20, 904, 308, 784, 32, 426, 27, 203, 823, 9707, 81, 8763, 26, 3378, 32, 1243, 711, 284, 8927, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 27, 284, 2652, 280, 4549, 32, 13343, 26, 4045, 30, 544, 81, 2560, 47, 3378, 32, 28781, 27, 284, 665, 1156, 9941, 3207, 784, 711, 291, 442, 1044, 15860, 101, 20, 904, 308, 784, 32, 13991, 27, 203, 823, 9707, 81, 3564, 26, 3378, 32, 1243, 711, 284, 4121, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 36, 38, 27, 284, 2652, 280, 4549, 32, 13343, 26, 4045, 30, 544, 81, 2560, 47, 3378, 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, 2, 3, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 6, 7, 9, 9, 9, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 7, 8, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 6, 6, 9, 8, 9, 7, 2, 2, 3, 3, 3, 3, 6, 6, 9, 9, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 7, 8, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 6, 6, 9, 8, 9, 7, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 7, 6, 8, 8, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 8, 8, 8, 8, 6, 7, 8, 6, 2, 2, 5, 4, 4, 6, 7, 7, 6, 8, 8, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 7, 6, 8, 8, 6, 7, 8, 6, 2, 2, 5, 4, 4, 6, 7, 7, 6, 8, 8, 6, 7, 8, 6, 2, 2, 5, 4, 4, 6, 7, 7, 6, 8, 8, 8, 6, 7, 8, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 6, 6, 9, 8, 9, 7, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 8, 8, 7, 9, 8, 9, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 6, 6, 9, 8, 9, 7, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 8, 6, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 8, 8, 7, 9, 8 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 1, 1, 2, 1, 5, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 4, 4, 3, 3, 3, 3, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 3, 3, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 15, 1, 1, 1, 2, 15, 15, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 4, 4, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 0, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 5, 5, 1, 1, 2, 0, 1, 2, 2, 5, 5, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 0, 2 ]
[ 1070, 638, 87, 674, 105, 11044, 1188, 308, 55, 7006, 73, 2659, 705, 18328, 2871, 30, 516, 7006, 73, 81, 6947, 81, 3364, 30, 715, 516, 7006, 73, 81, 45545, 12631, 81, 48679, 18032, 81, 44406, 27, 203, 1070, 638, 87, 7194, 4918, 2403, 1188, 308, 22295, 2183, 68, 2659, 705, 18328, 2871, 30, 45614, 2183, 68, 81, 6947, 81, 3364, 30, 715, 45614, 2183, 68, 81, 45545, 12631, 81, 48679, 18032, 81, 44406, 27, 203, 1070, 638, 6193, 36, 37, 35, 36, 11044, 1188, 308, 3924, 36, 37, 35, 36, 2659, 705, 18328, 2871, 30, 21124, 36, 37, 35, 36, 81, 6947, 81, 3364, 30, 656, 21124, 36, 37, 35, 36, 81, 45545, 12631, 81, 48679, 18032, 81, 44406, 27, 203, 1070, 638, 7380, 39, 11044, 1188, 308, 7471, 39, 2659, 705, 18328, 2871, 30, 26166, 39, 81, 6947, 81, 3364, 30, 5556, 26166, 39, 81, 45545, 12631, 81, 48679, 18032, 81, 44406, 27, 203, 1070, 638, 33071, 11044, 1188, 308, 60, 1296, 2659, 705, 18328, 2871, 30, 971, 1296, 81, 6947, 81, 3364, 30, 2855, 971, 1296, 81, 45545, 12631, 81, 48679, 18032, 81, 44406, 27, 203, 1070, 638, 8524, 1188, 9804, 81, 655, 203, 718, 18085, 11809, 81, 4601, 81, 29520, 280, 225, 35, 34, 36, 38, 203, 69, 3360, 81, 19354, 280, 225, 34, 32, 43, 43, 203, 69, 3360, 81, 2576, 280, 225, 34, 32, 34, 35, 203, 4683, 28684, 81, 4601, 81, 29520, 280, 225, 37, 203, 823, 7687, 16218, 9745, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 1114, 95, 2659, 705, 18328, 2871, 280, 1665, 291, 630, 1114, 95, 1599, 1250, 280, 1665, 16189, 630, 1114, 95, 18453, 1578, 16218, 10681, 280, 1665, 291, 630, 32, 4534, 346, 284, 665, 5657, 26, 784, 711, 291, 630, 1114, 95, 9107, 280, 3177, 291, 630, 1114, 95, 4754, 16364, 280, 225, 34, 16189, 630, 1114, 95, 18328, 16364, 280, 225, 34, 284, 665, 6985, 26, 784, 30, 312, 7346, 30, 312, 2659, 5745, 711, 291, 415, 312, 2659, 5745, 610, 225, 36, 44, 324, 2532, 280, 630, 32, 371, 81, 1174, 26, 83, 7346, 27, 291, 813, 44, 324, 2532, 280, 429, 35, 291, 415, 2532, 2377, 225, 34, 44, 324, 630, 1114, 95, 4754, 16364, 1454, 225, 35, 324, 415, 2532, 333, 630, 1114, 95, 1599, 1250, 44, 400, 415, 225, 39, 35, 36, 848, 630, 1114, 95, 2659, 705, 18328, 2871, 77, 1174, 2786, 528, 630, 1114, 95, 18328, 16364, 1454, 225, 35, 284, 665, 622, 81, 30900, 26, 784, 711, 291, 415, 630, 1114, 95, 4754, 16364, 2511, 225, 34, 556, 630, 1114, 95, 18328, 16364, 2511, 14369, 28684, 81, 4601, 81, 29520, 44, 324, 442, 358, 3360, 81, 2576, 291, 415, 630, 1114, 95, 4754, 16364, 863, 630, 1114, 95, 18328, 16364, 44, 324, 540, 280, 308, 784, 1114, 95, 18328, 16364, 517, 1833, 784, 1114, 95, 4754, 16364, 429, 630, 1114, 95, 18328, 16364, 27, 353, 319, 630, 1114, 95, 18453, 1578, 16218, 10681, 490, 324, 415, 540, 333, 358, 3360, 81, 19354, 44, 400, 442, 540, 291, 442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 4, 4, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 4, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 2, 2, 3, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 7, 7, 6, 6, 7, 5, 5, 5, 8, 8, 10, 11, 11, 11, 10, 11, 11, 10, 5, 5, 6, 6, 6, 9, 9, 11, 4, 4, 5, 6, 6, 7, 5, 5, 5, 9, 10, 10, 10, 8, 8, 9, 6, 6, 7, 8, 8, 9, 10, 10, 10, 7, 7, 7, 9, 11, 11, 11, 10, 10, 12, 13, 13, 13, 13, 13, 11, 12, 11, 9, 9, 13, 14, 14, 14, 12, 12, 13, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 9, 7, 7, 8, 6, 6, 8, 9, 9, 9, 7, 7, 8, 8, 8, 8, 8, 5, 5, 5, 7, 8, 8, 8, 4, 4, 5, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 5, 5, 5, 8, 8, 12, 11, 12, 12, 12, 10, 10, 16, 15, 16, 16, 16, 14, 14, 15, 16, 16, 16, 13, 12, 12, 12, 13, 14, 14, 14, 14, 14, 11, 6, 6, 7, 8, 8, 9, 9, 9, 7, 7, 7, 9, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 5, 5, 0, 5, 5, 0, 0, 0, 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, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 10, 10, 1, 1, 10, 10, 10, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 1, 3, 3, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 5, 5, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 3, 3, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 3, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 4, 4 ]
[ 1070, 831, 29966, 32, 725, 1188, 1995, 203, 1070, 831, 29966, 32, 5792, 1188, 15600, 203, 1070, 831, 29966, 32, 4642, 1188, 2194, 1653, 203, 1070, 831, 29966, 32, 1581, 1188, 7958, 203, 1070, 831, 29966, 32, 28299, 32, 7905, 1188, 40478, 203, 1070, 831, 29966, 32, 28299, 32, 1172, 1188, 9286, 203, 1070, 831, 29966, 32, 28299, 32, 3854, 1188, 11855, 203, 1070, 23438, 10526, 32, 8463, 32, 93, 29966, 32, 91, 35, 42, 96, 1188, 617, 203, 1796, 32, 944, 81, 800, 41412, 203, 46, 9927, 50, 11132, 48, 284, 804, 44, 16647, 284, 1780, 44, 4247, 284, 1474, 44, 4247, 284, 1334, 81, 12118, 44, 225, 34, 32, 42, 30, 225, 34, 32, 39, 284, 3400, 81, 12118, 44, 5053, 1393, 950, 34, 32, 43, 111, 284, 9975, 2344, 44, 291, 14103, 44, 330, 10163, 25, 291, 9286, 44, 324, 804, 44, 2266, 324, 1344, 44, 3051, 32, 1436, 324, 1344, 81, 891, 44, 630, 32, 1644, 30, 1665, 291, 11855, 44, 324, 1334, 81, 12118, 44, 225, 35, 30, 225, 34, 32, 35, 291, 9975, 2344, 44, 324, 14103, 44, 330, 10630, 25, 324, 1334, 81, 12118, 44, 225, 35, 30, 225, 34, 32, 36, 324, 7411, 44, 400, 1344, 44, 30121, 2023, 683, 400, 1334, 81, 12118, 44, 225, 34, 32, 39, 30, 1665, 400, 2384, 44, 330, 38, 42, 5974, 25, 400, 544, 81, 3779, 44, 528, 3051, 32, 4383, 26, 2700, 27, 528, 16647, 32, 11954, 346, 324, 7411, 44, 400, 1344, 44, 30121, 10922, 683, 400, 1334, 81, 12118, 44, 225, 34, 32, 39, 30, 1665, 400, 2384, 44, 330, 38, 42, 5974, 25, 400, 544, 81, 3779, 44, 528, 3051, 32, 4383, 26, 1815, 27, 528, 16647, 32, 11954, 346, 203, 2699, 683, 203, 823, 15196, 26, 2214, 32, 11132, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3124, 30, 3309, 711, 291, 15600, 32, 11132, 3667, 1664, 3207, 784, 27, 291, 630, 32, 1311, 280, 30121, 9927, 683, 291, 630, 32, 1436, 280, 3124, 291, 630, 32, 4383, 280, 3309, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 3, 1, 1, 0, 4, 3, 4, 4, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 1, 1, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 10, 10, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 7, 7, 0, 1, 2, 1, 4, 4, 1, 6, 6, 6, 6, 7, 7, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9, 9, 2, 0, 1, 2, 2, 9, 9, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1188, 4070, 203, 8265, 30815, 1752, 81, 4112, 81, 2413, 280, 18623, 26, 3550, 30, 330, 8265, 30815, 1752, 81, 4112, 81, 2413, 370, 1665, 27, 261, 203, 8265, 30815, 1752, 81, 4112, 81, 3307, 280, 18623, 26, 3550, 30, 330, 8265, 30815, 1752, 81, 4112, 81, 3307, 370, 1665, 27, 261, 203, 8265, 30815, 1752, 81, 10667, 81, 3307, 280, 18623, 26, 3550, 30, 330, 8265, 30815, 1752, 81, 10667, 81, 3307, 370, 1665, 27, 261, 203, 8265, 30815, 1752, 81, 12146, 81, 6177, 81, 3197, 280, 18623, 26, 3550, 30, 330, 8265, 30815, 1752, 81, 12146, 81, 6177, 81, 3197, 370, 4070, 32, 6177, 81, 3197, 27, 261, 203, 8265, 30815, 1752, 81, 11144, 940, 280, 18623, 26, 3550, 30, 330, 8265, 30815, 1752, 81, 11144, 940, 370, 8825, 26, 1110, 26, 5962, 273, 44, 273, 77, 34, 614, 4070, 32, 62, 15067, 17475, 2610, 203, 8265, 30815, 1752, 81, 5807, 81, 16799, 69, 280, 301, 284, 330, 11025, 950, 301, 291, 330, 2399, 950, 2726, 916, 370, 330, 2760, 370, 330, 978, 1425, 284, 801, 284, 330, 11025, 754, 950, 301, 291, 330, 2399, 950, 2726, 754, 370, 471, 284, 801, 203, 111, 203, 979, 617, 4116, 30, 617, 6363, 328, 18623, 26, 3550, 30, 330, 8265, 30815, 1752, 81, 5807, 81, 16799, 69, 370, 43241, 3028, 2262, 284, 415, 617, 4116, 328, 23567, 30815, 1752, 81, 5807, 81, 16799, 69, 44, 291, 436, 617, 93, 30, 617, 104, 328, 617, 6363, 32, 3028, 2262, 324, 23567, 30815, 1752, 81, 5807, 81, 16799, 69, 11359, 4116, 1674, 81, 93, 79, 280, 617, 104, 284, 813, 44, 291, 23567, 30815, 1752, 81, 5807, 81, 16799, 69, 11359, 4116, 79, 280, 617, 6363, 203, 8265, 30815, 1752, 81, 11144, 55, 81, 47442, 280, 18623, 26, 3550, 30, 330, 8265, 30815, 1752, 81, 11144, 55, 81, 47442, 370, 22975, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 6, 4, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 8, 8, 9, 9, 9, 9, 10, 11, 10, 8, 9, 10, 10, 10, 8, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 8, 8, 6, 9, 9, 7, 9, 9, 7, 9, 9, 5, 5, 3, 3, 6, 6, 6, 4, 5, 5, 8, 8, 6, 9, 9, 7, 5, 5, 3, 3, 0, 1, 1, 3, 2, 2, 3, 1, 1, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 4, 3, 1, 1, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 7, 6, 6, 7, 5, 5, 8, 7, 8, 7, 5, 5, 11, 11, 11, 11, 11, 11, 11, 10, 11, 10, 10, 10, 9, 8, 8, 9, 3, 3, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 7, 7, 8, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 3, 2, 3, 1, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 7, 7, 0, 1, 1, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 7, 7, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 823, 37906, 779, 269, 368, 550, 2262, 334, 665, 1156, 1664, 505, 308, 784, 30, 7581, 711, 284, 2599, 26, 7143, 779, 269, 368, 550, 30, 630, 14585, 1664, 16369, 284, 630, 32, 2292, 81, 314, 280, 1665, 284, 415, 7581, 32, 2142, 610, 1044, 25, 4572, 101, 111, 31113, 550, 25, 904, 308, 2109, 3020, 104, 37, 711, 397, 630, 3667, 2208, 81, 1676, 1867, 104, 37, 81, 31113, 550, 26, 4722, 27, 334, 665, 1156, 2208, 81, 1676, 1867, 104, 37, 81, 31113, 550, 308, 784, 30, 7581, 711, 284, 630, 32, 2292, 81, 314, 280, 7581, 32, 371, 440, 2292, 81, 314, 657, 284, 281, 7830, 280, 7581, 32, 371, 440, 2292, 81, 4018, 81, 314, 657, 284, 415, 630, 32, 2292, 81, 314, 32, 998, 26, 4072, 314, 20129, 35, 36, 1130, 863, 225, 35, 44, 397, 3636, 5710, 1572, 779, 31102, 26, 784, 32, 2292, 81, 314, 30, 281, 7830, 27, 284, 415, 281, 7830, 863, 622, 1572, 779, 2262, 397, 3636, 17927, 1722, 1572, 779, 26, 784, 32, 2292, 81, 314, 27, 284, 630, 32, 5974, 314, 280, 9911, 91, 1996, 32, 371, 7934, 8146, 779, 26, 784, 32, 2292, 81, 314, 27, 284, 630, 32, 11170, 280, 739, 346, 284, 436, 2601, 328, 7581, 32, 32852, 463, 4572, 101, 111, 625, 25, 904, 308, 2109, 3020, 104, 37, 8531, 397, 298, 280, 16870, 404, 32, 1676, 1867, 32, 2516, 32, 3437, 346, 397, 298, 32, 1516, 280, 629, 26, 625, 32, 371, 440, 1516, 2131, 397, 298, 32, 5974, 314, 280, 630, 32, 5974, 314, 397, 630, 32, 11170, 32, 669, 26, 98, 27, 203, 823, 37906, 1296, 35521, 44, 334, 665, 1156, 1664, 505, 308, 784, 30, 7581, 711, 284, 630, 3667, 375, 280, 1665, 284, 630, 3667, 6099, 81, 375, 280, 1665, 284, 630, 3667, 496, 81, 375, 280, 1665, 284, 630, 3667, 612, 280, 1665, 284, 630, 3667, 1747, 81, 10354, 280, 1665, 284, 415, 7581, 44, 397, 630, 3667, 2208, 750, 104, 37, 26, 4722, 27, 334, 665, 739, 66, 416, 10453, 308, 784, 30, 5966, 711, 284, 630, 3667, 1747, 81, 10354, 280, 5966, 334, 665, 622, 7811, 308, 784, 711, 284, 442, 630, 3667, 375, 334, 665, 622, 10291, 7811, 308, 784, 711, 284, 442, 630, 3667, 6099, 81, 375, 334, 665, 18888, 7811, 308, 784, 711, 284, 442, 630, 3667, 496, 81, 375, 334, 665, 1156, 2208, 750, 104, 37, 308, 784, 30, 7581, 711, 284, 309, 35521, 81, 4722, 280, 7581, 32, 1809, 463, 4572, 101, 111, 101, 35521, 25, 904, 308, 2109, 3020, 104, 37, 490, 10065, 415, 309, 35521, 81, 4722, 438, 1665, 44, 397, 3636, 3268, 2884, 2023, 69, 35521, 2633, 657, 284, 630, 32, 470, 4477, 26, 101, 35521, 81, 4722, 32, 371, 440, 1935, 392, 1665, 490, 284, 630, 32, 28217, 26, 101, 35521, 81, 4722, 32, 371, 440, 2310, 392, 1665, 490, 284, 630, 3667, 612, 280, 309, 35521, 81, 4722, 32, 371, 440, 612, 392, 1665, 27, 284, 5932, 81, 29595, 280, 309, 35521, 81, 4722, 32, 32852, 463, 4572 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 3, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 5, 7, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 8, 5, 5, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 5, 9, 10, 10, 10, 8, 9, 8, 10, 10, 9, 12, 12, 9, 6, 6, 7, 5, 5, 5, 7, 9, 9, 9, 9, 11, 10, 11, 11, 11, 9, 9, 10, 9, 4, 4, 5, 7, 6, 6, 8, 8, 8, 5, 5, 7, 9, 9, 9, 9, 11, 10, 11, 11, 11, 9, 4, 4, 7, 8, 8, 6, 6, 9, 9, 8, 9, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 8, 4, 4, 5, 5, 5, 7, 8, 7, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 9, 5, 5, 8, 8, 13, 12, 13, 13, 11, 12, 10, 11, 10, 6, 6, 9, 10, 8, 8, 10, 13, 12, 13, 12, 14, 14, 6, 6, 9, 10, 10, 8, 8, 9, 10, 10, 6, 6, 10, 11, 9, 10, 9, 10, 9, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 3, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 5, 5, 5, 5, 9, 10, 10, 10, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 3, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 3, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 3, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 3, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 3, 3, 7, 7, 7, 6, 6, 8, 9, 8, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 10, 4, 4, 5, 7, 7, 7, 6, 6, 5, 5, 5, 7, 8, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8, 7, 10, 10, 10, 10, 9, 10, 9, 11, 11, 9, 9, 4, 4, 7, 8, 7, 10, 10, 10, 10, 9, 10, 9, 11, 11, 9, 9, 4, 4, 7, 8, 6, 6, 9, 9, 9, 8, 9, 8, 10, 10, 8, 8, 4, 4, 7, 7, 6, 6, 9, 9, 9, 8, 9, 8, 11 ]
[ 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 3, 0, 1, 1, 0, 0, 1, 3, 3, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 1, 4, 4, 6, 6, 6, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 5, 5, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 5, 5, 0, 2, 2, 0, 0, 2, 2, 2, 5, 5, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 5, 5, 5, 5, 0, 2, 2, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 3, 3, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 3, 3, 3, 1, 1, 3, 1, 2, 3, 3, 0, 1, 2, 2, 2, 3, 3, 4, 1, 4, 1, 2, 4, 4, 0, 1, 2, 2, 2, 3, 3, 5, 1, 1, 1, 1, 5, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 2771, 2872, 203, 465, 12460, 203, 465, 3363, 203, 465, 2322, 203, 465, 316, 203, 465, 5237, 203, 1070, 35094, 1188, 3380, 81, 24576, 203, 1070, 31074, 1188, 6278, 5525, 203, 465, 8527, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 2536, 32, 1433, 1188, 19584, 24723, 974, 203, 1070, 8527, 32, 1262, 32, 9331, 32, 1439, 1188, 3772, 2019, 30, 5718, 924, 203, 1070, 8527, 32, 1262, 32, 9331, 32, 2304, 1188, 308, 284, 2290, 81, 2501, 30, 2887, 81, 9081, 30, 298, 1676, 81, 5098, 30, 203, 27, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 1070, 8527, 32, 2304, 1114, 500, 1188, 973, 550, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 4040, 81, 11144, 55, 81, 35909, 30, 7650, 81, 466, 203, 1070, 8527, 32, 2304, 32, 18651, 1188, 10814, 81, 2433, 203, 1070, 8527, 32, 2304, 32, 754, 1909, 1188, 11656, 81, 754, 81, 979, 81, 33170, 203, 1070, 8527, 32, 2304, 32, 878, 1188, 622, 81, 878, 81, 668, 203, 25857, 81, 8538, 81, 268, 280, 316, 32, 6993, 26, 100, 28249, 12390, 66, 46, 853, 5844, 1822, 5361, 31, 4403, 33581, 49, 1736, 96, 657, 78, 101, 29481, 370, 316, 32, 24924, 1466, 3123, 523, 316, 32, 6737, 2320, 27, 203, 5959, 81, 2950, 280, 225, 34, 203, 2576, 81, 11144, 55, 81, 3197, 280, 1300, 346, 203, 589, 1505, 81, 30250, 2740, 30250, 711, 284, 436, 3460, 328, 18335, 44, 291, 415, 2290, 81, 2501, 26, 5784, 27, 438, 1665, 44, 324, 3636, 5718, 924, 440, 4445, 1330, 2290, 904, 101, 32, 6400, 3654, 844, 1159, 6987, 313, 528, 313, 33170, 8684, 225, 34, 32, 35, 39, 556, 21962, 6713, 3107, 904, 3460, 27, 203, 589, 40946, 81, 98, 1676, 81, 5098, 26, 1132, 30, 2322, 81, 530, 81, 14806, 81, 681, 47, 2019, 924, 30, 12532, 81, 8644, 347, 3310, 31, 42, 10280, 284, 13244, 81, 716, 81, 5098, 280, 18792, 32, 5177, 37, 461, 12532, 81, 8644, 863, 4040, 81, 11144, 55, 81, 35909, 284, 12532, 30, 16154, 30, 2287, 81, 687, 280, 298, 1676, 81, 5098, 26, 1132, 30, 2322, 81, 530, 81, 14806, 81, 681, 47, 500, 81, 530, 81, 14806, 81, 681, 30, 4180, 36596, 81, 890, 4446, 47, 1206, 13244, 81, 716, 81, 5098, 27, 284, 415, 13244, 81, 716, 81, 5098, 44, 291, 12532, 280, 3363, 32, 1031, 2338, 4672, 26, 716, 32, 3644, 2338, 26, 9362, 471, 7328, 47, 9362, 81, 8644, 547, 850, 346, 284, 415, 18792, 32, 5177, 36, 44, 291, 12532, 280, 12532, 32, 5460, 26, 9362, 81, 8644, 27, 284, 442, 12532, 30, 16154, 30, 2287, 81, 687, 203, 50, 2999, 81, 24576, 203, 823, 3556, 37340, 974, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 4921, 983, 30, 803, 81, 426, 30, 11259, 81, 1515, 711, 291, 630, 32, 761, 280, 803, 81, 426, 291, 630, 32, 1515, 983, 280, 4921, 983, 291, 630, 32, 6921, 81, 1515, 280, 11259, 81, 1515, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 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, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 7, 7, 5, 5, 6, 7, 7, 4, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 0, 1, 1, 2, 2, 2, 4, 2, 1, 1, 3, 3, 3, 3, 3, 3, 5, 8, 8, 8, 9, 8, 6, 6, 5, 5, 5, 7, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 9, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 2, 2, 4, 4, 3, 5, 5, 5, 5, 1, 1, 5, 5, 5, 5, 4, 4, 6, 7, 7, 5, 5, 7, 7, 6, 6, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 6, 6, 4, 4, 6, 6, 6, 6, 7, 6, 6, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 7, 8, 8, 9, 9, 9, 9, 6, 2, 2, 3, 4, 4, 4, 4, 3, 3, 3, 6, 6, 10, 11, 11, 11, 10, 13, 12, 13, 13, 12, 13, 12, 10, 11, 12, 12, 12, 10, 9, 8, 2, 2, 3, 4, 5, 5, 3, 3, 3, 6, 6, 8, 9, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 5, 5, 0, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 4, 5, 5, 6, 5, 5, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 4, 4, 8, 9, 7, 7, 8, 8, 5, 5, 8, 9, 9, 7, 7, 8, 5, 5, 8, 9, 9, 9, 7, 7, 8, 8, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 7, 7, 0, 0, 0, 8, 8, 8, 8, 0, 0, 9, 9, 0, 10, 10, 1, 2, 10, 10, 0, 11, 11, 1, 2, 1, 4, 1, 6, 11, 11, 0, 0, 0, 12, 12, 1, 2, 1, 4, 1, 6, 12, 12, 0, 12, 12, 0, 0, 13, 13, 1, 2, 1, 4, 1, 6, 13, 13, 13, 13, 0, 0, 13, 13, 0, 0, 13, 13, 0, 0, 0, 13, 13, 13, 0, 14, 14, 1, 2, 14, 14, 0, 15, 15, 1, 2, 1, 4, 15, 15, 0, 0, 16, 16, 1, 2, 1, 4, 16, 16, 0, 0, 0, 0, 0, 16, 16, 0, 0, 0, 17, 17, 1, 2, 1, 4, 17, 17, 0, 0, 0, 18, 18, 1, 2, 1, 4, 4, 18, 18, 0, 0, 0, 0, 0, 0, 0, 19, 19, 1, 2, 1, 4, 19, 19, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 3, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 23, 23, 1, 1, 2, 1, 2, 23, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 24, 24, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 0, 0, 5, 1, 1, 1, 2, 24, 24, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 5, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 2, 1, 4, 4, 3, 1, 2, 2, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 25, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4 ]
[ 465, 2322, 203, 465, 5741, 203, 465, 7138, 203, 465, 316, 203, 1070, 1984, 2208, 1188, 1984, 2208, 30, 1984, 2524, 203, 1070, 18971, 1188, 13313, 30, 1550, 81, 725, 30, 35249, 30, 5668, 30, 2908, 81, 2387, 30, 3523, 30, 1984, 81, 979, 30, 1326, 30, 11875, 203, 1070, 18971, 32, 407, 32, 11696, 1188, 13671, 81, 33170, 619, 617, 203, 465, 24631, 81, 923, 32, 7491, 32, 1439, 32, 9211, 261, 203, 465, 24631, 81, 923, 32, 7491, 32, 1439, 32, 9081, 261, 203, 1070, 24631, 81, 923, 32, 7491, 32, 1439, 1188, 1695, 30, 11806, 17615, 203, 1070, 24631, 81, 923, 32, 7491, 32, 1439, 32, 8538, 1188, 30936, 1241, 30, 902, 12967, 1562, 5870, 299, 1241, 203, 1070, 24631, 81, 923, 32, 7491, 32, 17099, 32, 1237, 1188, 2364, 81, 268, 12967, 81, 979, 81, 5546, 299, 203, 1070, 24631, 81, 923, 32, 8820, 1188, 1288, 18740, 1990, 203, 1070, 24631, 81, 923, 32, 8820, 32, 4338, 1188, 31971, 1527, 5947, 13976, 30, 15545, 3135, 7530, 30, 9806, 1241, 13976, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 50, 1439, 32, 4351, 32087, 203, 589, 1650, 2262, 284, 3523, 32, 3815, 346, 284, 415, 1550, 81, 725, 32, 1163, 1365, 46651, 81, 7223, 1446, 610, 313, 12191, 563, 291, 442, 5668, 26, 1700, 81, 725, 32, 1163, 32, 371, 440, 6990, 72, 81, 15626, 81, 7383, 81, 12908, 2131, 284, 442, 2908, 81, 2387, 440, 1055, 32, 916, 657, 203, 50, 1439, 32, 4351, 4207, 21326, 657, 203, 589, 21032, 2262, 284, 442, 2908, 81, 2387, 440, 21326, 32, 916, 657, 203, 50, 1439, 32, 4351, 4207, 9534, 31, 3550, 657, 203, 589, 11078, 81, 3550, 2262, 284, 442, 2908, 81, 2387, 440, 9534, 31, 3550, 32, 916, 657, 203, 50, 1439, 32, 4351, 4207, 24325, 657, 203, 589, 27919, 2262, 284, 442, 2908, 81, 2387, 440, 24325, 32, 916, 657, 203, 50, 1439, 32, 4351, 4207, 11788, 31, 38319, 657, 203, 589, 12624, 81, 38319, 2262, 284, 442, 2908, 81, 2387, 440, 11788, 31, 38319, 32, 916, 657, 203, 50, 1439, 32, 4351, 4207, 35509, 31, 9849, 657, 203, 589, 30368, 2262, 284, 442, 2908, 81, 2387, 440, 35509, 31, 9849, 32, 916, 657, 203, 823, 7400, 15373, 1074, 26, 19638, 1527, 5947, 13976, 30, 9806, 1241, 13976, 30, 11875, 32, 1868, 1074, 711, 284, 3079, 280, 1665, 284, 5668, 81, 452, 280, 1665, 284, 665, 1156, 1664, 3207, 784, 711, 291, 415, 646, 630, 32, 599, 81, 823, 556, 646, 630, 32, 2387, 556, 646, 630, 32, 7344, 81, 452, 44, 324, 3636, 22210, 291, 2599, 26, 5584, 15373, 1074, 30, 630, 14585, 1664, 16369, 284, 477, 2433, 284, 665, 1244, 81, 599, 81, 605, 26, 784, 711, 291, 442, 3447, 23076, 563, 1326, 32, 23076, 556, 313, 5842, 3612, 284, 665, 622, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 3169, 81, 599, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 2364, 26, 784, 711, 291, 3636, 22210, 284, 665, 2908, 81, 599, 26, 784, 30, 319, 1132 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 0, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 0, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 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, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 2, 5, 4, 5, 4, 1, 2, 2, 3, 2, 2, 6, 7, 6, 3, 3, 4, 8, 8, 7, 8, 6, 8, 8, 8, 8, 5, 5, 7, 7, 4, 4, 6, 8, 12, 12, 12, 11, 12, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 3, 3, 4, 6, 6, 6, 8, 8, 8, 8, 0, 2, 5, 4, 5, 4, 6, 6, 1, 2, 2, 3, 2, 2, 4, 6, 6, 6, 8, 8, 8, 8, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 2, 2, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 0, 2, 5, 4, 5, 4, 6, 6, 1, 2, 2, 3, 2, 2, 4, 6, 6, 6, 8, 8, 8, 8, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 2, 2, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 1, 2, 2, 3, 2, 2, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 4, 4, 2, 1, 1, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 10, 10, 10, 7, 7, 8, 9, 10, 6, 6, 7, 8, 9, 9, 9, 5, 5, 5, 7, 4, 4, 9, 10, 10, 10, 9, 9, 9, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 10, 10, 8, 10, 11, 9, 9, 11, 11, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 7, 8, 8, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 3, 3, 0, 7, 7, 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 8, 8, 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 9, 9, 0, 0, 1, 2, 1, 4, 9, 9, 9, 9, 0, 0, 10, 10, 0, 0, 1, 2, 1, 4, 1, 6, 10, 10, 0, 10, 10, 0, 0, 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, 12, 12, 0, 0, 0, 13, 13, 0, 0, 1, 2, 1, 4, 13, 13, 0, 0, 0, 13, 13, 0, 0, 13, 13, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 15, 1, 1, 2, 1, 1, 0, 2, 1, 4, 4, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 16, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 17, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 18, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 19, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 20, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 21, 21, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 2, 21, 21, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 4, 4, 4, 2, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 5, 2, 1, 2, 5, 5, 0, 4, 4, 6, 1, 1, 2, 1, 2, 2, 1 ]
[ 1070, 10245, 1188, 23501, 203, 1070, 4134, 1188, 5601, 18241, 203, 465, 15798, 203, 465, 3312, 203, 1070, 3312, 1188, 19430, 36, 30, 4267, 81, 4977, 106, 203, 1070, 13060, 32, 11628, 32, 3841, 1188, 15894, 2798, 203, 1070, 13060, 32, 11628, 32, 9777, 1188, 21136, 2828, 203, 1070, 13060, 32, 11628, 1188, 3878, 203, 1270, 44, 284, 645, 13060, 32, 11628, 32, 3841, 81, 85, 407, 1188, 390, 14693, 2798, 203, 7343, 29986, 44, 284, 390, 14693, 2798, 280, 1665, 203, 823, 9476, 1721, 4820, 26, 4882, 32, 14693, 9938, 4470, 711, 284, 665, 619, 10096, 26, 784, 30, 2910, 30, 319, 10996, 711, 291, 436, 1135, 328, 6792, 44, 324, 630, 32, 5299, 26, 2832, 30, 1135, 27, 284, 477, 4935, 81, 4977, 106, 346, 284, 665, 894, 81, 4642, 81, 18241, 26, 784, 711, 291, 4308, 280, 428, 324, 308, 784, 32, 1163, 710, 496, 2188, 330, 496, 1425, 324, 308, 784, 32, 1163, 710, 2035, 2188, 330, 1786, 81, 2035, 1425, 324, 308, 784, 32, 1163, 710, 625, 2188, 330, 1786, 81, 625, 1425, 324, 308, 784, 32, 1163, 710, 16705, 81, 4817, 2188, 330, 16705, 81, 4817, 1425, 324, 308, 784, 32, 1163, 710, 4603, 2188, 330, 4603, 683, 291, 1481, 291, 436, 2910, 30, 2804, 328, 4308, 44, 324, 296, 280, 5601, 18241, 26, 2433, 27, 324, 630, 32, 302, 10096, 26, 2832, 30, 296, 26, 784, 32, 4977, 106, 490, 284, 477, 4935, 81, 4977, 106, 346, 284, 665, 894, 81, 1003, 81, 5634, 26, 784, 711, 291, 3218, 280, 630, 32, 4977, 106, 32, 1338, 81, 1217, 440, 4620, 10805, 2848, 32, 1003, 81, 5634, 16050, 34, 79, 291, 630, 32, 5299, 26, 3831, 30, 630, 32, 4977, 106, 32, 1003, 81, 5634, 27, 291, 630, 32, 4977, 106, 32, 1003, 81, 5634, 280, 6757, 34, 36, 44, 34, 34, 20, 291, 630, 32, 5299, 30022, 34, 36, 44, 34, 34, 392, 630, 32, 4977, 106, 32, 1003, 81, 5634, 27, 284, 477, 4935, 81, 4977, 106, 346, 284, 665, 894, 81, 2602, 81, 2816, 26, 784, 711, 291, 3218, 280, 630, 32, 4977, 106, 32, 1338, 81, 1217, 440, 4620, 10805, 2848, 32, 2602, 81, 2816, 16050, 34, 79, 291, 630, 32, 5299, 26, 3831, 30, 630, 32, 4977, 106, 32, 2602, 81, 2816, 27, 291, 1596, 44, 324, 630, 32, 4977, 106, 32, 2602, 81, 2816, 280, 330, 2231, 2210, 25, 291, 2940, 3878, 32, 23560, 924, 44, 324, 3097, 16189, 813, 44, 324, 630, 32, 5066, 440, 23560, 924, 646, 29657, 657, 291, 415, 3312, 32, 35092, 81, 4530, 77, 34, 44, 37, 79, 333, 308, 39, 30, 225, 41, 30, 225, 38, 711, 324, 2910, 280, 2726, 22982, 81, 12082, 81, 6947, 69, 30, 22982, 81, 2320, 81, 6947, 69, 30, 2576, 81, 13977, 81, 521, 81, 5241, 1947, 4511, 330, 2576, 81, 13977, 81, 5241, 30, 2930, 81, 7321, 81, 13888, 7591, 81, 6265, 81, 13977, 30, 1310, 1192, 3942, 726, 1947, 4511, 330, 2576, 81, 13236, 81, 6037, 81, 4975, 30, 2576, 81, 28137, 81, 7100, 16816, 18032 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 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, 1, 1, 0, 1, 1, 1, 1, 3, 4, 5, 4, 5, 5, 5, 5, 3, 3, 5, 5, 1, 2, 2, 2, 2, 2, 6, 6, 5, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 5, 5, 5, 5, 5, 5, 9, 10, 9, 10, 9, 9, 9, 2, 2, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 8, 8, 12, 11, 12, 10, 12, 12, 9, 11, 11, 8, 8, 12, 11, 12, 10, 12, 12, 9, 11, 11, 11, 11, 8, 8, 12, 11, 12, 10, 12, 12, 9, 11, 11, 11, 11, 8, 8, 12, 11, 12, 10, 12, 12, 12, 12, 9, 11, 11, 11, 11, 8, 8, 12, 11, 12, 10, 12, 12, 9, 11, 11, 8, 8, 5, 5, 6, 7, 7, 6, 6, 6, 6, 6, 9, 9, 11, 11, 12, 11, 7, 7, 10, 11, 11, 10, 11, 10, 10, 12, 14, 13, 14, 14, 12, 2, 2, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 11, 12, 12, 10, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 9, 8, 5, 5, 8, 9, 8, 9, 8, 8, 10, 11, 11, 9, 10, 10, 10, 8, 5, 5, 9, 10, 10, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 10, 8, 10, 11, 11, 9, 10, 10, 10, 8, 2, 2, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 11, 12, 12, 10, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 9, 8, 5, 5, 8, 9, 8, 9, 8, 8, 10, 11, 11, 9, 10, 10, 10, 8, 5, 5, 6, 6, 6, 11, 12, 12, 10, 11, 11, 11, 9, 9, 11, 11, 11, 6, 6, 7, 8, 9, 9, 7, 7, 7, 6, 6, 7, 7, 7, 11, 12, 11, 13, 13, 13, 13, 13, 5, 5, 6, 9, 10, 10, 10, 8, 10, 9, 10, 8, 7, 7, 9, 8, 8, 9, 8, 8, 9, 8, 6, 6, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 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, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 8, 8, 0, 1, 2, 1, 4, 4, 4, 4, 0, 0, 0, 0, 8, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 9, 9, 1, 1, 2, 0, 1, 2, 2, 2, 2, 9, 9, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 5, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 7, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 9, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 5, 5, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 3, 2, 2, 2, 1, 4, 4, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 3, 1, 2, 2, 3, 3, 3, 2, 2, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 4395, 1188, 7841, 30, 7502, 203, 465, 343, 2632, 203, 1070, 46624, 32, 4280, 1188, 29657, 203, 465, 15798, 203, 1070, 8527, 32, 858, 32, 2304, 1188, 2684, 81, 3550, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8419, 81, 24366, 32, 3378, 1188, 22509, 2101, 203, 1070, 42354, 1188, 4125, 203, 1070, 42354, 32, 4275, 1188, 2556, 18655, 2551, 3013, 924, 30, 2556, 18655, 27981, 30, 22509, 2101, 27981, 203, 1070, 42354, 32, 4882, 1188, 11152, 81, 605, 81, 1237, 203, 1070, 13197, 106, 32, 1262, 32, 20063, 742, 362, 930, 32, 4266, 32, 2304, 1188, 10421, 25323, 7233, 203, 50, 583, 102, 32, 583, 102, 203, 50, 7106, 81, 3550, 26, 718, 21164, 3480, 81, 4601, 81, 2554, 347, 38510, 32, 4882, 32, 9539, 81, 605, 81, 1237, 657, 203, 50, 18986, 32, 5961, 23093, 26, 3550, 32, 7789, 81, 2413, 14594, 610, 330, 94, 874, 32, 11400, 370, 330, 1006, 1755, 2080, 328, 456, 874, 683, 203, 823, 2556, 18655, 1006, 26, 2597, 25323, 7233, 711, 284, 14126, 2474, 280, 313, 31596, 20, 284, 3366, 45459, 81, 779, 280, 313, 6060, 33, 43114, 33, 7632, 20, 284, 21496, 54, 81, 53, 10028, 940, 280, 2107, 1536, 785, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 38935, 1006, 30, 630, 547, 23741, 346, 291, 11152, 81, 605, 81, 1237, 32, 4534, 346, 284, 477, 583, 102, 32, 605, 26, 291, 6262, 614, 330, 26362, 271, 1425, 291, 308, 710, 26362, 271, 370, 330, 19640, 370, 330, 16676, 2188, 330, 26362, 271, 1425, 291, 308, 710, 15765, 21622, 2188, 330, 15765, 21622, 1425, 291, 308, 710, 1347, 31, 314, 31, 15765, 21622, 2188, 330, 1347, 31, 314, 31, 15765, 21622, 683, 284, 829, 284, 477, 583, 102, 32, 15404, 284, 665, 894, 81, 44513, 26, 784, 30, 8419, 81, 24366, 30, 2926, 711, 291, 11152, 81, 605, 81, 1237, 32, 669, 81, 7632, 26, 784, 32, 1197, 45459, 81, 779, 30, 8419, 81, 24366, 47, 7632, 81, 24366, 27, 291, 1056, 280, 4125, 32, 669, 81, 38510, 26, 784, 32, 19452, 30, 630, 32, 1197, 45459, 81, 779, 30, 2926, 47, 2816, 27, 291, 630, 32, 25839, 1337, 2521, 26, 1267, 27, 291, 630, 32, 4983, 26, 1267, 710, 8397, 2188, 630, 32, 19452, 27, 291, 630, 32, 4983, 26, 1267, 710, 7632, 4902, 7632, 81, 314, 2188, 630, 32, 1197, 45459, 81, 779, 27, 291, 630, 32, 4983, 26, 1267, 710, 2816, 2188, 2926, 27, 291, 622, 81, 1267, 280, 4125, 32, 371, 81, 38510, 26, 784, 32, 19452, 30, 630, 32, 1197, 45459, 81, 779, 27, 291, 630, 32, 4983, 26, 1267, 30, 622, 81, 1267, 27, 284, 477, 583, 102, 32, 605, 26, 291, 6262, 13018, 2101, 32, 5807, 81, 4959, 81, 3898, 18661, 30, 330, 19640, 370, 330, 15237, 2188, 22509, 2101, 32, 5807, 81, 4959, 81, 3898, 18661, 471, 291, 308, 710, 16676, 370, 330, 19640, 370, 330, 15237, 2188, 330, 16676, 1425, 291, 308, 710, 26362, 271, 370, 330, 19640, 370, 330, 15237, 2188, 330, 26362, 271, 1425, 284, 829, 284, 477 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 2, 4, 4, 3, 4, 4, 1, 2, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 2, 5, 4, 5, 5, 4, 7, 6, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 4, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 4, 4, 4, 3, 2, 2, 6, 5, 5, 7, 7, 3, 3, 6, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 3, 3, 6, 6, 6, 6, 6, 5, 5, 8, 8, 3, 3, 4, 5, 6, 5, 4, 4, 10, 11, 11, 10, 10, 10, 9, 8, 5, 5, 9, 9, 9, 9, 8, 9, 8, 3, 3, 8, 8, 7, 8, 7, 7, 7, 9, 8, 10, 10, 10, 7, 7, 9, 11, 11, 11, 9, 11, 11, 9, 11, 11, 8, 10, 10, 10, 7, 7, 9, 11, 11, 11, 8, 10, 10, 10, 7, 7, 9, 11, 11, 11, 11, 11, 11, 11, 8, 10, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 7, 7, 6, 7, 4, 4, 5, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 6, 5, 5, 10, 10, 10, 10, 9, 10, 10, 10, 9, 11, 10, 11, 11, 11, 11, 9, 9, 11, 11, 10, 11, 11, 11, 9, 6, 6, 8, 8, 10, 11, 11, 11, 10, 12, 11, 12, 10, 10, 11, 12, 12, 12, 12, 10, 10, 11, 12, 10, 6, 6, 9, 10, 10, 10, 9, 10, 9, 6, 6, 9, 10, 9, 11, 10, 12, 12, 9, 10, 11, 9, 6, 6, 9, 10, 9, 12, 11, 13, 13, 12, 12, 12, 12, 9, 10, 11, 11, 11, 11, 9, 6, 6, 9, 10, 9, 11, 10, 12, 12, 9, 9, 6, 6, 9, 9, 8, 8, 10, 11, 11, 11, 10, 12, 11, 12, 10, 10, 11, 12, 12, 12, 12, 10, 6, 6, 9, 10, 9, 10, 9, 9, 10, 10, 9, 3, 3, 8, 8, 7, 8, 7, 7, 7, 11, 11, 10, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 9, 11, 11, 8, 10, 9, 10, 10, 10, 10, 10, 10, 8, 7, 7, 9, 11, 11, 9, 11, 11, 9, 11, 11, 8, 10, 10, 7, 7, 9, 11, 11, 11, 9, 11, 11, 9, 11, 11, 8, 10, 10, 10, 7, 7, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 7, 7, 7, 7, 0, 8, 8, 1, 2, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 9, 9, 1, 2, 9, 9, 0, 0, 0, 0, 0, 10, 10, 0, 1, 2, 1, 4, 4, 4, 4, 1, 6, 1, 8, 10, 10, 0, 0, 0, 0, 0, 0, 1, 2, 2, 11, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 11, 3, 3, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 3, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 2, 1, 1, 5, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 3, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 5, 1, 1, 2, 1, 1, 5, 5 ]
[ 465, 2322, 203, 1070, 32625, 1188, 5741, 203, 465, 16672, 203, 1070, 25405, 1188, 13671, 81, 4554, 203, 1070, 25405, 1188, 1542, 203, 1070, 25405, 1188, 4070, 203, 465, 14785, 619, 5239, 203, 589, 5683, 81, 363, 81, 1358, 14605, 5321, 711, 334, 13671, 280, 13671, 81, 4554, 32, 18843, 4888, 346, 334, 9525, 81, 3550, 280, 4070, 32, 2963, 26, 397, 10306, 1365, 1163, 3439, 793, 81, 8397, 81, 3550, 47, 1815, 27, 334, 13671, 32, 465, 37158, 19167, 81, 22450, 392, 2935, 347, 8820, 392, 442, 37657, 2700, 27, 334, 13671, 32, 465, 37158, 19167, 392, 2935, 347, 8820, 32, 3378, 392, 442, 37657, 2700, 27, 334, 13671, 32, 465, 37158, 3239, 392, 2935, 347, 8820, 392, 442, 37657, 2700, 27, 334, 13671, 32, 465, 37158, 2304, 392, 2935, 347, 8820, 392, 442, 37657, 2700, 27, 334, 27311, 922, 1877, 26, 10629, 32, 465, 81, 2665, 27, 334, 5239, 32, 3855, 32, 470, 81, 7389, 26, 35, 34, 27, 334, 30877, 81, 3550, 280, 4070, 32, 2963, 26, 397, 9525, 81, 3550, 1365, 19167, 81, 1163, 3439, 793, 81, 8397, 81, 3550, 47, 2700, 27, 334, 8616, 280, 4070, 32, 5773, 26, 500, 32, 983, 32, 2524, 26, 8397, 81, 3550, 32, 983, 30, 313, 5136, 32, 6045, 2131, 334, 13689, 280, 8745, 32, 6276, 3033, 8089, 346, 334, 415, 10306, 1365, 491, 103, 18270, 284, 4904, 81, 15678, 280, 5239, 32, 12974, 32, 5176, 81, 15678, 32, 2328, 71, 4607, 7256, 26, 291, 10306, 1365, 491, 103, 6890, 284, 5239, 32, 1163, 32, 19561, 81, 3517, 81, 452, 81, 2035, 26, 5176, 81, 15678, 32, 371, 81, 2590, 1157, 284, 5239, 32, 491, 103, 32, 19561, 32, 8788, 81, 491, 103, 81, 2946, 26, 5176, 81, 15678, 27, 284, 13689, 280, 5239, 32, 12974, 32, 19561, 32, 2328, 71, 8089, 26, 5176, 81, 15678, 27, 334, 3298, 81, 426, 280, 8745, 32, 5157, 81, 452, 81, 9889, 26, 5321, 1365, 491, 103, 6890, 334, 623, 5239, 32, 2929, 26, 2929, 81, 426, 471, 13689, 32, 3473, 2262, 284, 8822, 81, 7572, 280, 5239, 32, 1367, 32, 1297, 81, 761, 81, 7572, 26, 291, 2322, 32, 983, 32, 2524, 26, 5321, 1365, 751, 1515, 3439, 313, 8397, 2131, 284, 30877, 81, 1367, 81, 7572, 280, 5239, 32, 1367, 32, 1297, 81, 761, 81, 7572, 26, 291, 2322, 32, 983, 32, 2524, 26, 5321, 1365, 751, 1515, 3439, 313, 19167, 2131, 284, 30877, 81, 7101, 280, 30877, 32, 7101, 26, 541, 81, 3237, 47, 37, 30, 1932, 81, 1851, 47, 2700, 27, 284, 30877, 81, 1285, 21999, 280, 30877, 32, 1285, 21999, 26, 291, 5254, 81, 891, 47, 19167, 81, 3550, 1365, 4432, 81, 891, 6890, 284, 9525, 81, 7101, 280, 308, 291, 1542, 32, 5378, 291, 638, 3378, 77, 8397, 81, 3550, 1365, 8397, 81, 4573, 32851, 1157, 284, 12966, 81, 891, 280, 5239, 32, 2405, 26, 4213, 32, 5954, 81, 452, 81, 6800, 2009, 35, 79, 474, 9525, 81, 3550, 710, 3935, 81, 891, 16578, 5239, 32, 1808, 37, 36, 27, 284, 19302, 81, 891, 280, 5239, 32, 2405 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 4, 2, 1, 1, 4, 4, 7, 7, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 6, 7, 9, 9, 6, 8, 8, 8, 8, 7, 8, 6, 2, 2, 5, 6, 6, 7, 7, 7, 7, 5, 6, 8, 8, 5, 7, 7, 5, 2, 2, 5, 6, 6, 7, 7, 5, 6, 8, 8, 8, 8, 5, 7, 7, 5, 2, 2, 5, 6, 6, 7, 7, 5, 6, 8, 8, 5, 7, 7, 5, 2, 2, 5, 6, 6, 7, 7, 5, 6, 8, 8, 5, 7, 7, 5, 2, 2, 7, 6, 5, 7, 6, 7, 7, 7, 5, 2, 2, 6, 7, 5, 6, 6, 6, 5, 6, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 6, 8, 8, 7, 9, 9, 9, 9, 6, 8, 8, 8, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 10, 9, 10, 8, 9, 8, 10, 10, 10, 9, 10, 8, 8, 10, 10, 10, 10, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 4, 6, 6, 6, 3, 3, 7, 7, 6, 6, 10, 11, 9, 10, 10, 10, 8, 9, 9, 9, 9, 8, 8, 8, 9, 11, 11, 11, 4, 4, 8, 9, 7, 8, 8, 8, 8, 8, 8, 8, 7, 10, 10, 10, 9, 10, 10, 10, 9, 4, 4, 9, 10, 10, 8, 9, 7, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 6, 6, 10, 11, 9, 10, 8, 9, 9, 9, 8, 9, 9, 9, 8, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 8, 7, 9, 9, 9, 2, 2, 3, 7, 8, 7, 8, 8, 8, 7, 4, 7, 8, 7, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 8, 8, 11, 12, 10, 11, 10, 12, 11, 13, 13, 13, 10, 12, 12, 4, 4, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 8, 8, 11, 12, 10, 11, 10, 12, 11, 13, 13, 13, 10, 12, 12, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 9, 10, 8, 8, 10, 10, 9, 10, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 9, 8, 8, 8, 10, 10, 9, 11, 11, 11, 10, 12, 12, 12, 12, 4, 4, 7, 7, 6, 6, 7, 7, 11, 12, 10, 10, 11, 9, 11, 11, 11, 10, 12, 12, 12, 12, 9, 4, 4, 7, 7, 6, 6, 8, 9, 8, 11, 10, 11, 11, 11, 11, 11, 10, 13, 12, 11, 11, 13, 13, 12, 14, 14, 14, 14, 8, 9, 10, 10, 10, 8, 4, 4, 7, 7, 6, 6, 8, 9 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 1, 1, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 3, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 0, 2, 1, 4, 4, 0, 2, 2, 1, 2, 1, 3, 1, 1, 1, 2, 1, 0, 2, 1, 4, 4, 0, 2, 2, 1, 2, 1, 3, 1, 2, 1, 0, 2, 1, 4, 4, 0, 2, 2, 1, 2, 1, 3, 1, 2, 1, 0, 2, 1, 4, 4, 1, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 11, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 4, 4, 13, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 13, 13, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2 ]
[ 465, 2322, 203, 465, 22977, 203, 465, 16539, 203, 465, 5237, 203, 465, 29590, 203, 465, 11685, 203, 1070, 8527, 1188, 712, 7972, 203, 19991, 32, 2029, 19991, 463, 3617, 370, 313, 1318, 475, 1608, 9834, 712, 7972, 1123, 438, 12687, 392, 715, 28855, 685, 22359, 5711, 30, 330, 11025, 32, 12023, 32, 15852, 9834, 683, 203, 1725, 6542, 81, 3197, 81, 2474, 280, 330, 11025, 32, 12023, 25, 203, 14483, 81, 24685, 81, 3197, 81, 2474, 280, 330, 1160, 4882, 25, 203, 4733, 8558, 1016, 81, 24685, 81, 3197, 81, 2474, 280, 330, 26460, 4882, 25, 203, 3765, 81, 17143, 81, 3197, 280, 330, 8881, 25, 203, 6323, 24685, 81, 3197, 280, 2322, 32, 983, 32, 7781, 4064, 761, 8223, 203, 1725, 6542, 81, 3197, 280, 2322, 32, 983, 32, 7781, 26, 12023, 3667, 761, 8223, 203, 14483, 81, 3765, 81, 3197, 280, 2322, 32, 983, 32, 2524, 26, 6323, 24685, 81, 3197, 30, 40087, 81, 24685, 81, 3197, 81, 2474, 27, 203, 4733, 8558, 1016, 81, 3765, 81, 3197, 280, 2322, 32, 983, 32, 2524, 26, 6323, 24685, 81, 3197, 30, 11752, 8558, 1016, 81, 24685, 81, 3197, 81, 2474, 27, 203, 10115, 81, 3197, 280, 29590, 32, 4765, 86, 1433, 26, 4254, 1057, 11025, 81, 683, 203, 500, 32, 12757, 710, 28350, 5289, 65, 81, 3765, 81, 10115, 81, 3197, 785, 280, 24884, 81, 3197, 203, 4733, 8558, 1016, 81, 7100, 31254, 81, 1407, 81, 23029, 280, 2107, 6921, 785, 203, 30007, 81, 6585, 45421, 81, 47406, 280, 428, 284, 330, 11025, 32, 12023, 32, 1286, 2516, 370, 284, 330, 11025, 32, 12023, 32, 2393, 370, 284, 330, 11025, 32, 12023, 32, 12095, 370, 284, 330, 11025, 32, 12023, 32, 6849, 5646, 370, 284, 330, 11025, 32, 12023, 32, 45116, 370, 284, 330, 11025, 32, 12023, 32, 18780, 370, 284, 330, 11025, 32, 12023, 32, 6286, 370, 284, 330, 11025, 32, 12023, 32, 8680, 370, 284, 330, 11025, 32, 12023, 32, 2300, 370, 284, 330, 11025, 32, 12023, 32, 339, 24018, 27968, 370, 284, 330, 11025, 32, 12023, 32, 15852, 9834, 370, 284, 330, 11025, 32, 12023, 32, 1574, 2536, 370, 284, 330, 11025, 32, 12023, 32, 18184, 518, 370, 284, 330, 26460, 4882, 32, 1574, 2536, 81, 4882, 370, 284, 330, 26460, 4882, 32, 1574, 2536, 81, 4882, 32, 7491, 32, 858, 370, 284, 330, 26460, 4882, 32, 1574, 2536, 81, 4882, 32, 7491, 32, 1347, 81, 1172, 370, 203, 79, 203, 589, 3226, 431, 5200, 26, 3550, 711, 284, 23667, 81, 43093, 280, 428, 426, 436, 636, 30, 3082, 81, 2665, 328, 4070, 32, 20528, 69, 32, 3028, 346, 4511, 415, 3082, 81, 2665, 710, 28137, 5695, 15990, 463, 11025, 32, 12023, 32, 21031, 12357, 284, 442, 2069, 26, 20847, 81, 43093, 27, 610, 2069, 26, 3550, 32, 20528, 69, 27, 203, 589, 622, 81, 858, 81, 3477, 2262, 284, 7896, 280, 1605, 284, 436, 2587, 30, 4921, 983, 328, 308, 291, 308, 14483, 81, 24685, 81, 3197, 81, 2474, 30, 40087, 81, 3765, 81, 3197, 471, 291, 308, 4733, 8558, 1016, 81, 24685, 81, 3197, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 4, 3, 4, 4, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 5, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 5, 7, 7, 7, 0, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 5, 6, 7, 7, 8, 8, 6, 6, 9, 10, 10, 8, 9, 8, 5, 5, 6, 10, 10, 9, 11, 11, 9, 8, 10, 10, 10, 10, 10, 10, 2, 2, 3, 6, 7, 7, 7, 6, 4, 4, 6, 8, 7, 8, 8, 6, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 2, 2, 3, 4, 4, 5, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 20, 20, 1, 1, 2, 1, 2, 20, 20, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 3, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 21, 21, 1, 1, 1, 1, 2, 21, 21, 0, 0, 4, 4, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 13092, 203, 1070, 4377, 18972, 1188, 18167, 2754, 2939, 203, 1070, 34194, 17130, 32, 916, 32, 3963, 1188, 2561, 203, 1070, 34194, 17130, 32, 8881, 32, 916, 32, 3963, 1188, 932, 203, 1070, 34194, 17130, 32, 11452, 1188, 9130, 2212, 924, 203, 50, 28913, 463, 5843, 370, 428, 284, 5989, 25, 2934, 950, 330, 1594, 45306, 284, 5989, 25, 2934, 950, 330, 1594, 370, 330, 1594, 950, 18491, 13431, 284, 5989, 25, 2934, 950, 330, 1594, 370, 330, 1594, 950, 39552, 330, 1594, 1719, 950, 330, 36, 45306, 284, 5989, 25, 2934, 950, 330, 1873, 370, 330, 662, 950, 330, 36, 45306, 284, 5989, 25, 2934, 950, 330, 990, 370, 330, 695, 627, 950, 330, 1393, 45306, 284, 5989, 25, 1644, 950, 330, 35, 37, 34, 18143, 203, 1130, 203, 589, 894, 81, 6309, 81, 748, 81, 2142, 26, 5843, 711, 284, 2623, 280, 2561, 14605, 5843, 27, 284, 1201, 2623, 32, 6309, 346, 610, 932, 32, 3169, 26, 5843, 27, 203, 50, 28913, 463, 5843, 30, 3893, 30, 731, 81, 2076, 370, 428, 284, 5989, 25, 1594, 950, 18491, 835, 29316, 30, 330, 1318, 1351, 3879, 883, 1755, 526, 1654, 1425, 284, 5989, 25, 1594, 1719, 950, 330, 36, 8885, 29316, 30, 330, 1318, 1351, 1719, 3879, 883, 1755, 526, 1425, 284, 5989, 25, 1594, 950, 39552, 330, 1594, 1719, 950, 330, 36, 8885, 275, 29316, 30, 275, 330, 1318, 1351, 3879, 883, 1755, 526, 1654, 1425, 284, 5989, 25, 2934, 950, 330, 1873, 370, 330, 1594, 1719, 950, 330, 36, 8885, 275, 29316, 30, 275, 330, 1318, 1351, 1719, 3879, 883, 1755, 526, 683, 203, 1130, 203, 589, 894, 81, 6309, 81, 748, 81, 2142, 81, 731, 26, 5843, 30, 3756, 30, 1048, 81, 2076, 711, 284, 623, 13092, 32, 16708, 26, 3893, 27, 619, 13489, 44, 291, 2561, 14605, 5843, 27, 284, 1201, 1048, 81, 2076, 328, 596, 26, 14806, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 2, 4, 4, 6, 6, 4, 5, 5, 10, 10, 10, 8, 10, 10, 5, 5, 10, 10, 10, 8, 10, 10, 7, 10, 10, 8, 7, 5, 5, 10, 10, 10, 8, 10, 10, 7, 10, 10, 8, 7, 10, 10, 10, 8, 10, 10, 5, 5, 10, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 5, 5, 10, 10, 10, 8, 10, 10, 7, 10, 10, 10, 8, 10, 10, 5, 5, 10, 10, 10, 8, 10, 10, 10, 10, 5, 5, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 5, 5, 7, 9, 7, 3, 3, 4, 7, 8, 7, 5, 5, 7, 8, 7, 8, 7, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 10, 10, 10, 8, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 10, 10, 10, 10, 8, 10, 10, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 10, 10, 10, 8, 7, 10, 10, 10, 8, 10, 10, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 10, 10, 10, 8, 10, 10, 7, 10, 10, 10, 8, 10, 10, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 2, 2, 4, 9, 10, 9, 10, 9, 7, 7, 4, 4, 4, 8, 10, 8, 3, 3, 4, 6, 6, 5, 5, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 1, 3, 3, 0, 1, 2, 1, 1, 2, 3, 3, 0, 1, 2, 1, 1, 2, 1, 1, 2, 3, 1, 3, 3, 0, 1, 2, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 2, 5, 1, 2, 3, 3, 0, 1, 2, 1, 1, 2, 1, 1, 2, 3, 1, 2, 3, 3, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 1, 2, 3, 3, 0, 1, 2, 1, 1, 1, 1, 2, 3, 3, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 1, 1, 2, 1, 1, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 1, 2, 1, 1, 1, 1, 2, 3, 1, 2, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 1, 2, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 0, 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 ]
[ 465, 5237, 203, 465, 16539, 203, 1070, 29947, 1188, 4705, 30, 15363, 203, 1070, 1420, 419, 1525, 1188, 1156, 1648, 505, 203, 1270, 44, 284, 1188, 323, 2452, 81, 317, 6706, 264, 203, 7343, 44, 284, 3097, 203, 325, 5237, 32, 5134, 610, 313, 4463, 37, 36, 563, 284, 1447, 280, 15363, 440, 5390, 2003, 659, 32, 2304, 32, 4463, 37, 36, 777, 1140, 392, 528, 10849, 18278, 5390, 2003, 659, 33, 2304, 33, 4463, 37, 36, 777, 1140, 32, 85, 3439, 528, 11323, 18278, 11184, 1237, 37, 36, 6890, 284, 1447, 101, 280, 428, 407, 79, 203, 1824, 44, 284, 1447, 101, 280, 1605, 203, 1793, 2156, 463, 10229, 683, 619, 803, 44, 284, 1946, 81, 2310, 280, 803, 32, 850, 346, 203, 11176, 280, 428, 284, 313, 35462, 2150, 4672, 392, 284, 313, 18986, 31, 2593, 31, 23575, 1446, 203, 325, 16539, 32, 874, 5910, 44, 284, 21022, 32, 1689, 26, 330, 978, 4463, 37, 36, 25, 829, 203, 5522, 26, 426, 1057, 2231, 25845, 370, 284, 1503, 47, 505, 1648, 7642, 284, 3541, 347, 62, 21181, 392, 284, 3048, 1057, 15937, 4865, 6959, 31, 6143, 15612, 10572, 370, 284, 1946, 81, 2310, 47, 3222, 81, 2310, 30, 284, 4081, 1057, 60, 39788, 447, 17690, 1173, 30, 570, 675, 28216, 5513, 16946, 30, 488, 365, 8335, 516, 545, 755, 83, 461, 10714, 370, 284, 4081, 81, 1935, 1057, 92, 11542, 278, 1173, 50, 7253, 32, 508, 370, 284, 1984, 1057, 641, 555, 933, 32, 508, 33, 11739, 639, 17690, 1173, 33, 2231, 25845, 370, 284, 2652, 81, 1515, 12516, 419, 1525, 950, 330, 419, 1525, 8885, 284, 7599, 11414, 419, 1525, 1195, 419, 1525, 32, 95, 34825, 370, 330, 106, 29029, 370, 330, 106, 317, 7111, 370, 330, 106, 317, 7111, 32, 3477, 370, 330, 106, 317, 7111, 32, 762, 6001, 370, 330, 5390, 2003, 659, 370, 330, 5390, 2003, 659, 32, 2304, 370, 330, 5390, 2003, 659, 32, 11613, 2188, 284, 10105, 11414, 1945, 419, 1525, 32, 978, 1195, 7799, 32, 978, 2188, 284, 2652, 81, 605, 12516, 419, 1525, 950, 710, 8881, 1109, 3424, 370, 330, 8881, 33, 2242, 1109, 3424, 2188, 835, 284, 2305, 81, 1320, 81, 605, 47, 1815, 30, 284, 1447, 81, 3477, 47, 407, 101, 30, 284, 43397, 6020, 284, 330, 20235, 5400, 2037, 225, 39, 429, 35548, 33, 32018, 370, 284, 330, 6330, 2037, 6497, 370, 284, 330, 6330, 2037, 3704, 10572, 370, 284, 330, 1428, 4611, 37393, 5467, 2037, 36646, 370, 284, 330, 3786, 2037, 546, 2123, 46573, 2037, 6987, 16236, 6146, 5056, 1177, 354, 36, 308, 62, 21181, 104, 36, 7243, 284, 330, 34034, 6633, 2037, 17764, 370, 284, 330, 25900, 1171, 2037, 6642, 40201, 370, 284, 330, 23560, 6633, 2037, 4865, 2037, 225, 36, 32, 41, 370, 284, 330, 8294, 2037, 29087, 661, 25852, 370, 284, 330, 8294, 2037, 6906, 18372, 33, 3711, 8637, 2037, 9123, 31251, 38503, 370, 284, 2505, 284, 2443, 81, 13966, 280, 21022, 284, 829, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 5, 5, 5, 5, 1, 1, 2, 2, 2, 2, 0, 1, 1, 3, 4, 2, 2, 4, 4, 4, 4, 1, 1, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 7, 10, 10, 10, 10, 10, 2, 2, 5, 4, 4, 6, 5, 1, 2, 2, 2, 2, 6, 5, 5, 0, 1, 1, 6, 8, 8, 4, 4, 1, 1, 1, 5, 5, 4, 4, 6, 7, 6, 0, 3, 2, 2, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 3, 3, 1, 1, 1, 5, 6, 5, 5, 7, 7, 7, 7, 7, 5, 0, 3, 3, 5, 4, 6, 6, 6, 3, 3, 4, 5, 5, 5, 3, 3, 4, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 5, 5, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 8, 8, 8, 6, 8, 8, 8, 3, 3, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 3, 3, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 5, 5, 4, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 5, 3, 3, 5, 5, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 5, 5, 3, 3, 3, 4, 5, 5, 7, 7, 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, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 5, 5, 4, 4, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 3, 3, 3, 3, 0, 5, 5, 0, 2, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 1, 2, 5, 4, 4, 4, 4, 0, 0, 0, 0, 6, 6, 1, 1, 2, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 8, 8, 1, 2, 2, 8, 8, 8, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 9, 2, 2, 2, 1, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 13, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 17, 1, 1, 2, 1, 1, 1, 2, 1, 1, 19, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 21, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 23, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 25, 2, 1, 1, 1, 0, 0, 27, 2, 2, 1, 1, 1, 29, 2, 2, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 31, 31, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 5237, 203, 1070, 31074, 1188, 23056, 393, 90, 414, 203, 1070, 8527, 32, 7491, 1188, 11550, 203, 1070, 8527, 32, 1262, 32, 9331, 32, 1439, 1188, 3772, 2019, 30, 5718, 924, 203, 1070, 8527, 32, 1199, 32, 19793, 1188, 18582, 203, 1070, 8527, 32, 1199, 32, 19793, 32, 4846, 402, 102, 1108, 1188, 18582, 7579, 402, 102, 1108, 203, 1070, 8527, 32, 1199, 32, 19793, 32, 4554, 1188, 18582, 4888, 203, 1070, 8527, 32, 1199, 32, 19793, 32, 4594, 265, 1188, 308, 284, 41952, 12067, 9927, 265, 30, 18582, 9927, 265, 30, 284, 12495, 26063, 12067, 9927, 265, 30, 203, 27, 203, 1070, 8527, 32, 1199, 32, 19793, 32, 1293, 1188, 5412, 1078, 203, 1070, 8527, 32, 1199, 32, 19793, 32, 7572, 1188, 18582, 3976, 203, 1070, 8527, 32, 2304, 32, 25931, 1188, 3850, 3028, 203, 1070, 8527, 32, 2304, 32, 25931, 32, 21332, 1188, 8529, 203, 823, 5718, 26, 1761, 2019, 711, 284, 3049, 280, 313, 26001, 537, 12742, 26, 101, 27, 436, 11550, 3107, 284, 665, 1015, 81, 8299, 26, 784, 30, 4118, 711, 291, 4118, 32, 669, 81, 2669, 463, 1132, 370, 34664, 1057, 725, 81, 1172, 370, 34292, 1057, 45896, 324, 3049, 1057, 31531, 322, 1123, 2266, 26, 101, 27, 372, 1487, 12522, 436, 11834, 291, 4118, 32, 669, 81, 2669, 12664, 24223, 31, 1945, 370, 2125, 1057, 2157, 81, 1508, 370, 3466, 1057, 24223, 81, 1945, 370, 1244, 47, 2700, 30, 324, 3049, 347, 12584, 2519, 2769, 12522, 2268, 526, 5590, 45, 2800, 1330, 6723, 2866, 3026, 7144, 291, 4118, 32, 669, 81, 2669, 12664, 6077, 370, 2125, 1057, 2157, 81, 1508, 370, 3466, 1057, 6077, 370, 1244, 47, 2700, 30, 324, 3049, 347, 6601, 23372, 432, 12742, 20172, 7144, 291, 4118, 32, 669, 81, 2669, 12664, 2951, 370, 2125, 1057, 2157, 81, 1508, 370, 3466, 1057, 2951, 370, 1244, 47, 2700, 30, 324, 3049, 347, 1922, 600, 3502, 12742, 7144, 291, 4118, 32, 669, 81, 2669, 12664, 1347, 1131, 370, 2125, 1057, 2157, 81, 1870, 370, 3466, 1057, 17107, 370, 1244, 47, 1815, 30, 324, 3049, 1057, 46020, 101, 18297, 372, 2370, 13012, 322, 1256, 436, 1509, 432, 1346, 6186, 11834, 291, 4118, 32, 669, 81, 2669, 12605, 96, 370, 11363, 426, 370, 2125, 1057, 2157, 370, 3466, 1057, 426, 370, 1244, 47, 2521, 30, 324, 3049, 347, 4391, 458, 636, 436, 12742, 803, 26, 101, 547, 657, 291, 4118, 32, 669, 81, 2669, 12605, 87, 370, 11363, 4775, 370, 2125, 1057, 2157, 81, 1508, 370, 3466, 1057, 4775, 81, 687, 370, 1244, 47, 2700, 30, 324, 3049, 1057, 8112, 623, 1048, 1340, 225, 35, 415, 1289, 3404, 41905, 12522, 884, 2431, 11834, 284, 665, 2887, 26, 784, 30, 319, 725, 81, 5919, 30, 1115, 2184, 711, 291, 630, 32, 38974, 280, 2075, 32, 371, 463, 38974, 683, 291, 630, 32, 17107, 280, 2075, 32, 371, 463, 17107, 683, 291, 630, 32, 24223, 81, 1945, 280, 2075, 32, 371, 463, 24223, 81, 1945, 370, 3177, 27, 291, 630, 32, 6077, 280, 2075, 32, 371, 463, 6077, 370, 3177, 27, 291, 630, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 7, 8, 10, 10, 10, 10, 7, 8, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 8, 10, 10, 10, 10, 7, 8, 10, 10, 10, 10, 7, 8, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 8, 10, 10, 10, 10, 7, 8, 10, 10, 7, 8, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 8, 10, 10, 10, 10, 7, 8, 10, 10, 7, 8, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 7, 8, 10, 10, 10, 10, 7, 8, 10, 10, 7, 8, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 7, 8, 10, 10, 7, 8, 10, 10, 7, 8, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 7, 8, 10, 10, 10, 10, 7, 8, 10, 10, 10, 10, 7, 8, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 3, 4, 5, 4, 4, 6, 6, 6, 4, 4, 6, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 10, 10, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 8, 8, 4, 4, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 1, 6, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 1, 6, 6, 8, 8, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 0, 9, 9, 1, 2, 1, 4, 1, 6, 9, 9, 0, 0, 10, 10, 1, 2, 1, 4, 1, 6, 10, 10, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 12, 12, 1, 2, 1, 4, 1, 6, 12, 12, 0, 13, 13, 2, 1, 1, 2, 13, 13, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 7, 2, 1, 1, 1, 9, 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, 1, 1, 1, 2, 1, 5, 1, 2, 1, 7, 2, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 1, 2, 1, 7, 2, 1, 1, 1, 9, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 1, 2, 1, 7, 2, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 2, 1, 7, 1, 2, 1, 9, 2, 1, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 7, 1, 1, 1, 2, 1, 9, 2, 1, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 1459, 81, 1126, 203, 465, 7744, 203, 465, 6436, 203, 505, 1648, 505, 280, 330, 36, 34, 35, 37, 32, 34, 40, 32, 36, 43, 25, 203, 505, 1427, 1643, 505, 280, 330, 268, 25120, 878, 931, 25, 203, 505, 464, 505, 280, 1605, 203, 589, 10625, 81, 4873, 2262, 284, 442, 6436, 32, 8543, 26, 38, 27, 203, 589, 13178, 81, 4873, 26, 7354, 711, 284, 488, 280, 6436, 32, 8543, 26, 38, 27, 284, 488, 2867, 37, 30, 225, 37, 79, 280, 6983, 2867, 37, 79, 284, 442, 488, 203, 589, 13178, 81, 1070, 81, 4873, 26, 4873, 711, 284, 442, 6436, 32, 955, 26, 4873, 30, 1933, 47, 2700, 27, 2867, 37, 30, 225, 37, 997, 2991, 346, 203, 589, 26158, 81, 4873, 26, 1493, 30, 4302, 711, 284, 4302, 280, 4201, 81, 2402, 26, 4382, 2867, 37, 1130, 284, 488, 280, 6436, 32, 8543, 26, 38, 27, 284, 488, 2867, 37, 30, 499, 37, 79, 5912, 225, 36, 32, 34, 319, 6436, 32, 11925, 26, 4382, 30, 4302, 27, 284, 488, 2867, 37, 30, 225, 37, 79, 280, 308, 36, 32, 34, 319, 6436, 32, 4260, 26, 1493, 2867, 37, 614, 4302, 490, 319, 4302, 284, 442, 488, 203, 589, 26158, 81, 1070, 81, 4873, 26, 4873, 711, 284, 488, 280, 6436, 32, 955, 26, 4873, 30, 9710, 47, 10337, 32, 1808, 40, 38, 30, 1933, 47, 2700, 27, 284, 341, 30, 676, 280, 6436, 32, 20973, 32, 47950, 26, 63, 2867, 37, 30, 499, 37, 1130, 284, 595, 280, 6436, 32, 2767, 26, 3596, 26, 10337, 32, 4543, 26, 105, 27, 474, 225, 35, 32, 34, 27, 333, 225, 35, 87, 31, 42, 5594, 34, 79, 284, 415, 646, 2069, 26, 91, 711, 291, 3636, 10091, 440, 1347, 4201, 38382, 2121, 1108, 8435, 372, 30880, 853, 429, 35, 657, 284, 4302, 280, 6436, 32, 4543, 26, 72, 6894, 595, 77, 34, 3212, 547, 28468, 346, 284, 341, 30, 676, 280, 6436, 32, 20973, 32, 47950, 26, 63, 27, 284, 595, 280, 6436, 32, 2767, 26, 3596, 26, 10337, 32, 4543, 26, 105, 27, 429, 225, 35, 32, 34, 27, 333, 225, 35, 87, 31, 42, 5594, 34, 79, 284, 415, 646, 2069, 26, 91, 711, 291, 3636, 10091, 440, 1347, 4201, 38382, 2121, 1108, 8435, 372, 30880, 853, 225, 35, 657, 284, 2260, 280, 6436, 32, 4543, 26, 72, 6894, 595, 6448, 35, 3212, 547, 28468, 346, 284, 2260, 14374, 2260, 77, 37, 79, 284, 442, 2260, 30, 4302, 203, 589, 11410, 81, 4873, 26, 3695, 30, 6983, 30, 2260, 47, 2521, 711, 284, 309, 5225, 280, 7744, 32, 7102, 26, 3695, 27, 284, 10712, 83, 280, 7744, 32, 4952, 26, 3695, 27, 284, 6983, 280, 4201, 81, 2402, 26, 7354, 2867, 37, 1130, 284, 559, 280, 6436, 32, 13006, 2009, 331, 2496, 30, 10712, 83, 30, 10712, 83, 1130, 284, 559, 1454, 6436, 32, 11925, 26, 7354, 30, 6983, 27, 319, 308, 35, 32, 34, 429, 10712, 83, 27, 284, 6983, 10439, 309, 5225, 284, 559, 1454, 6436, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 7, 6, 2, 2, 5, 7, 5, 5, 6, 5, 4, 4, 5, 7, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 8, 9, 8, 9, 8, 8, 9, 10, 8, 6, 8, 6, 6, 7, 6, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 8, 7, 9, 7, 2, 2, 4, 4, 6, 7, 6, 7, 6, 2, 2, 5, 7, 5, 5, 7, 5, 4, 4, 6, 6, 6, 5, 5, 7, 8, 7, 8, 7, 7, 7, 2, 2, 5, 7, 5, 5, 6, 5, 4, 4, 8, 8, 8, 7, 7, 9, 10, 9, 11, 10, 12, 10, 9, 9, 5, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 7, 6, 6, 7, 9, 8, 9, 9, 9, 6, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 7, 9, 7, 7, 9, 7, 2, 2, 4, 4, 7, 8, 7, 10, 10, 14, 13, 14, 13, 14, 13, 11, 11, 12, 12, 12, 10, 8, 8, 9, 9, 9, 9, 7, 6, 5, 2, 2, 3, 4, 6, 7, 6, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 8, 9, 8, 10, 9, 9, 10, 11, 10, 8, 7, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 2, 2, 4, 4, 7, 8, 7, 10, 10, 14, 13, 14, 13, 14, 13, 11, 11, 12, 12, 12, 10, 8, 8, 9, 9, 9, 9, 7, 6, 5, 2, 2, 3, 4, 6, 7, 6, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 8, 9, 8, 10, 9, 9, 10, 12, 10, 8, 7, 6, 2, 2, 4, 4, 5, 6, 5, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 1, 1, 5, 4, 4, 6, 7, 6, 7, 6, 2, 2, 5, 4, 4, 6, 7, 6, 7, 6, 2, 2, 4, 4, 6, 6, 6, 8, 7, 9, 7, 2, 2, 4, 4, 6, 7, 6, 8, 8, 7, 7, 8, 7, 7, 8, 7, 2, 2, 4, 4, 7, 8, 7, 8, 7, 7, 7, 5, 5, 8, 8, 8, 7, 7, 8, 6, 2, 2, 4, 4, 5, 2, 2, 4, 4, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 6, 6, 1, 1, 2, 6, 6, 0, 0, 2, 1, 1, 1, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 1, 0, 0, 4, 0, 0, 0, 2, 1, 2, 4, 4, 2, 0, 8, 8, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 0, 1, 0, 0, 4, 0, 2, 1, 0, 9, 9, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 0, 0, 0, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 4, 4, 4, 0, 10, 10, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 2, 2, 2, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 4, 4, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 4, 2, 4, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 4, 4, 7, 1, 1, 1, 1, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 4, 1, 4, 1, 2, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 10, 1, 1, 0, 11, 11, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 11, 11, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0 ]
[ 465, 13092, 203, 1070, 47997, 1188, 11530, 2922, 35821, 203, 1070, 3312, 32, 14413, 81, 3543, 32, 3592, 32, 7068, 1188, 622, 81, 266, 1071, 81, 2390, 30, 622, 81, 10832, 81, 6587, 203, 1070, 3312, 32, 3592, 32, 3221, 1188, 4447, 203, 589, 7382, 81, 1427, 26, 3369, 81, 1621, 30, 16162, 81, 1621, 347, 10280, 284, 442, 4447, 27265, 397, 333, 507, 804, 347, 11925, 20, 1418, 15476, 35, 3845, 2607, 544, 44620, 347, 3518, 32, 11832, 280, 3335, 106, 44, 1692, 32, 1580, 74, 30, 533, 44, 1692, 32, 1580, 75, 19214, 291, 333, 507, 804, 347, 3369, 20, 1418, 15476, 34, 111, 1228, 507, 48, 397, 576, 507, 48, 284, 1524, 32, 1643, 26, 3369, 81, 1621, 30, 16162, 81, 1621, 490, 203, 589, 622, 81, 2942, 81, 17857, 26, 2848, 711, 284, 442, 3523, 32, 4526, 81, 1423, 440, 601, 3223, 32, 11832, 45, 657, 203, 589, 894, 81, 10832, 81, 19925, 26, 2848, 30, 8459, 81, 5074, 711, 284, 2260, 280, 3447, 106, 563, 225, 39, 34, 30, 313, 107, 563, 225, 39, 34, 111, 284, 3523, 32, 965, 280, 7382, 81, 1427, 440, 1644, 44, 225, 35, 34, 34, 1082, 45, 2384, 44, 225, 39, 34, 1082, 45, 3208, 44, 9733, 45, 657, 284, 8459, 81, 5074, 766, 291, 638, 6805, 81, 1500, 26, 1493, 1365, 106, 3439, 2260, 1365, 107, 3439, 7382, 347, 10832, 657, 766, 291, 638, 14413, 346, 284, 5021, 81, 11832, 280, 3523, 32, 4526, 81, 1423, 440, 601, 3223, 32, 11832, 45, 657, 284, 1201, 5021, 81, 11832, 1365, 106, 1446, 610, 13092, 32, 20449, 26, 1493, 1365, 106, 3439, 11366, 280, 225, 35, 32, 34, 27, 284, 1201, 5021, 81, 11832, 1365, 107, 1446, 610, 13092, 32, 20449, 26, 1493, 1365, 107, 3439, 11366, 280, 225, 35, 32, 34, 27, 203, 589, 894, 81, 10832, 81, 31238, 26, 2848, 30, 8459, 81, 5074, 711, 284, 623, 13092, 32, 16708, 26, 5775, 2922, 35821, 711, 291, 8459, 81, 5074, 766, 324, 638, 6805, 81, 1500, 3736, 39, 34, 30, 429, 39, 34, 30, 7382, 347, 10832, 657, 766, 324, 638, 14413, 346, 203, 589, 894, 81, 6805, 81, 19925, 26, 2848, 30, 8459, 81, 5074, 711, 284, 1477, 81, 1493, 280, 3447, 106, 563, 225, 39, 34, 30, 313, 107, 563, 225, 39, 34, 111, 284, 3401, 280, 3447, 106, 563, 225, 35, 34, 30, 313, 107, 563, 225, 39, 111, 284, 3523, 32, 965, 280, 7382, 81, 1427, 440, 1644, 44, 225, 35, 34, 34, 1082, 45, 2384, 44, 225, 39, 34, 1082, 45, 3208, 44, 9733, 45, 657, 284, 8459, 81, 5074, 766, 291, 638, 6805, 81, 1500, 26, 1366, 81, 1493, 1365, 106, 3439, 1477, 81, 1493, 1365, 107, 6890, 766, 291, 638, 6805, 81, 1500, 26, 2881, 1365, 106, 3439, 3401, 1365, 107, 3439, 7382, 347, 6805, 657, 766, 291, 638, 14413, 346, 284, 5021, 81, 11832, 280, 3523, 32, 4526, 81, 1423, 440, 601, 3223, 32, 11832, 45, 657, 284, 1201, 5021, 81, 11832, 1365, 106, 1446, 610, 13092, 32, 20449, 26, 1366, 81, 1493 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 4, 4, 3, 5, 1, 1, 3, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 8, 8, 6, 7, 7, 5, 5, 8, 8, 6, 7, 7, 5, 2, 2, 5, 6, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 8, 8, 7, 8, 7, 8, 8, 8, 7, 9, 8, 10, 10, 7, 8, 10, 10, 7, 8, 10, 10, 5, 6, 5, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 6, 6, 5, 7, 7, 4, 4, 6, 7, 6, 8, 7, 9, 9, 6, 7, 7, 8, 8, 8, 6, 2, 2, 3, 6, 6, 5, 7, 7, 4, 4, 6, 7, 6, 8, 7, 9, 9, 6, 7, 7, 8, 8, 8, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 7, 8, 7, 8, 8, 8, 7, 3, 3, 10, 10, 9, 10, 9, 10, 10, 10, 9, 11, 11, 9, 9, 11, 11, 9, 9, 10, 12, 12, 7, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 8, 8, 6, 7, 7, 5, 5, 8, 8, 6, 7, 7, 5, 2, 2, 4, 4, 8, 8, 6, 7, 7, 5, 5, 8, 8, 6, 7, 5, 2, 2, 5, 6, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 10, 10, 9, 10, 9, 10, 10, 10, 9, 11, 11, 11, 10, 12, 12, 9, 11, 11, 10, 12, 12, 7, 8, 7, 8, 8, 8, 7, 9, 8, 10, 10, 7, 8, 10, 10, 7, 8, 10, 10, 5, 6, 5, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 6, 6, 5, 7, 7, 4, 4, 6, 7, 6, 9, 9, 9 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 4, 1, 6, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 3, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 6, 6, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 4, 4, 0, 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, 2, 4, 4, 0, 0, 0, 1, 0, 3, 3, 3, 1, 0, 1, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 0, 1, 0, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 3, 3, 2, 2, 2, 1, 4, 4, 5, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 3, 3, 2, 2, 2, 1, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 7, 7, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 2, 0, 1, 0, 3, 1, 0, 8, 8, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 8, 8, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 4, 4, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 4, 4, 0, 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, 2, 4, 4, 0, 0, 0, 1, 0, 3, 3, 3, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 3, 1, 2, 0, 1, 0, 3, 3, 3, 1, 0, 1, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 0, 1, 0, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 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, 465, 6436, 619, 2065, 203, 1070, 18792, 32, 21332, 1188, 2155, 261, 203, 465, 14785, 619, 5239, 203, 1070, 14785, 32, 12023, 32, 37415, 81, 6800, 32, 2958, 32, 4156, 1188, 5296, 203, 1070, 14785, 32, 12023, 32, 37415, 81, 6800, 32, 2958, 32, 4156, 1188, 13714, 203, 1070, 14785, 32, 12023, 32, 37415, 81, 6800, 32, 2958, 32, 4156, 1188, 894, 81, 1040, 203, 823, 3772, 26, 858, 81, 1040, 32, 1761, 711, 334, 665, 14553, 26, 784, 711, 284, 2599, 26, 1761, 30, 630, 547, 23741, 346, 284, 630, 32, 106, 81, 891, 280, 225, 41, 284, 630, 32, 3237, 81, 891, 280, 225, 37, 284, 630, 32, 108, 81, 891, 280, 225, 38, 284, 630, 32, 27057, 81, 891, 280, 225, 35, 35, 284, 8482, 280, 5239, 32, 3585, 26, 34, 30, 630, 32, 106, 81, 891, 319, 630, 32, 3237, 81, 891, 319, 630, 32, 108, 81, 891, 319, 2855, 630, 32, 27057, 81, 891, 27, 284, 8482, 280, 5239, 32, 12091, 26, 6800, 30, 428, 784, 32, 106, 81, 891, 30, 630, 32, 3237, 81, 891, 30, 630, 32, 108, 81, 891, 30, 768, 630, 32, 27057, 81, 891, 1130, 284, 312, 34, 280, 2726, 106, 370, 2155, 26, 784, 32, 106, 81, 891, 490, 284, 312, 35, 280, 2726, 3237, 370, 2107, 1092, 370, 330, 6555, 370, 330, 5466, 3490, 284, 312, 36, 280, 330, 108, 25, 284, 312, 37, 280, 2726, 27057, 370, 2065, 32, 24356, 26, 34, 32, 34, 30, 225, 35, 32, 34, 30, 630, 32, 27057, 81, 891, 490, 284, 630, 32, 6800, 280, 8482, 284, 630, 32, 83, 34, 280, 312, 34, 284, 630, 32, 83, 35, 280, 312, 35, 284, 630, 32, 83, 36, 280, 312, 36, 284, 630, 32, 83, 36, 81, 15655, 280, 2726, 108, 370, 630, 32, 108, 81, 891, 27, 284, 630, 32, 83, 37, 280, 312, 37, 284, 630, 32, 7318, 81, 2159, 280, 5296, 32, 49030, 7929, 26, 6800, 30, 428, 83, 34, 30, 312, 35, 30, 312, 36, 30, 312, 37, 1130, 284, 630, 32, 106, 81, 27057, 81, 2159, 280, 5296, 32, 6099, 81, 1126, 26, 784, 32, 7318, 81, 2159, 30, 5053, 108, 950, 225, 34, 1748, 284, 630, 32, 106, 81, 27057, 81, 2159, 280, 13714, 32, 1613, 26, 784, 32, 106, 81, 27057, 81, 2159, 30, 5053, 3237, 950, 330, 1092, 18143, 284, 630, 32, 3237, 81, 27057, 81, 2159, 280, 5296, 32, 6099, 81, 1126, 26, 784, 32, 7318, 81, 2159, 30, 5053, 106, 950, 225, 37, 30, 5899, 261, 330, 108, 950, 225, 34, 1748, 203, 823, 6608, 1006, 26, 1761, 711, 334, 665, 894, 81, 426, 26, 784, 711, 284, 2192, 81, 2159, 280, 13714, 32, 1613, 26, 784, 32, 7318, 81, 2159, 30, 5053, 3237, 950, 330, 6555, 18143, 284, 630, 32, 33966, 463, 2159, 81, 1613, 370, 2192, 81, 2159, 32, 426, 27, 334, 665, 894, 81, 13049, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 4, 4, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 12, 13, 13, 13, 11, 11, 12, 13, 13, 13, 10, 10, 11, 12, 12, 12, 9, 9, 9, 10, 11, 11, 11, 8, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 11, 10, 11, 11, 11, 9, 9, 10, 11, 11, 11, 9, 9, 10, 11, 11, 11, 9, 9, 9, 10, 11, 11, 11, 9, 4, 4, 7, 6, 6, 9, 9, 7, 9, 11, 10, 11, 11, 11, 9, 4, 4, 7, 6, 6, 9, 9, 7, 10, 10, 8, 10, 10, 8, 10, 10, 4, 4, 7, 6, 6, 8, 8, 4, 4, 7, 6, 6, 9, 9, 7, 9, 10, 9, 10, 10, 10, 9, 9, 10, 10, 10, 9, 9, 10, 11, 11, 11, 9, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 8, 9, 8, 8, 10, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 8, 12, 12, 10, 11, 9, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 10, 10, 8, 8, 12, 12, 10, 12, 12, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 8, 12, 12, 10, 11, 9, 9, 9, 9, 12, 12, 10, 11, 9, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 12, 12, 10, 12, 12, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 1, 2, 4, 4, 0, 0, 5, 5, 1, 1, 0, 6, 6, 1, 2, 1, 4, 4, 4, 1, 6, 1, 8, 6, 6, 0, 7, 7, 1, 2, 1, 4, 4, 4, 1, 6, 1, 8, 7, 7, 0, 8, 8, 1, 2, 1, 4, 4, 4, 1, 6, 1, 8, 8, 8, 0, 0, 0, 9, 9, 2, 0, 0, 0, 1, 2, 2, 9, 9, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 5, 2, 2, 2, 3, 3, 3, 7, 2, 2, 2, 3, 4, 4, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 2, 2, 1, 2, 3, 1, 2, 3, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 3, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 3, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 3, 3, 3, 3, 1, 2, 3, 2, 3, 0, 10, 10, 1, 2, 1, 2, 10, 10, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 4, 4, 1, 1, 1, 2 ]
[ 4440, 6205, 25, 203, 325, 1149, 36, 610, 2107, 7656, 370, 330, 5860, 370, 330, 9513, 12132, 284, 1459, 463, 16347, 10168, 22735, 203, 1824, 44, 284, 1459, 463, 16347, 14242, 22735, 203, 21, 225, 7208, 36, 3087, 4690, 12148, 13428, 5481, 1121, 13428, 4577, 36, 96, 29, 35, 1077, 23875, 12148, 1121, 96, 3382, 9684, 37, 4314, 35, 35, 1077, 23875, 203, 668, 37, 280, 428, 36, 28, 96, 474, 225, 35, 436, 310, 328, 2155, 26, 37, 30, 225, 35, 36, 2177, 203, 1216, 26, 668, 37, 27, 203, 21, 225, 7208, 37, 3087, 35425, 4876, 4577, 45601, 23875, 12148, 2994, 6018, 43608, 36, 34, 1077, 14568, 203, 62, 280, 428, 37, 30, 225, 41, 30, 225, 35, 35, 30, 225, 13999, 21350, 17646, 18106, 4577, 23059, 12148, 2994, 203, 62, 35, 280, 2107, 42490, 181, 248, 236, 370, 330, 11058, 136, 5409, 370, 330, 21714, 252, 7716, 785, 203, 62, 36, 280, 2107, 3433, 30229, 370, 330, 4221, 254, 6489, 133, 25, 11262, 4202, 10846, 2271, 7407, 9562, 7407, 7407, 4202, 1077, 12148, 1121, 9562, 7407, 1077, 17404, 3382, 26, 678, 30, 786, 27, 203, 54, 280, 5053, 24867, 950, 225, 35, 39, 30, 330, 60, 10257, 950, 225, 35, 42, 30, 330, 66, 14295, 950, 225, 35, 37, 111, 203, 668, 40, 280, 10440, 93, 30, 225, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 0, 3, 3, 3, 5, 5, 5, 5, 5, 5, 1, 0, 0, 0, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 3, 3, 2, 2, 3, 6, 6, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 4, 4, 6, 6, 6, 7, 6, 7, 6, 3, 0, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 3, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 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, 9, 9, 9, 3, 9, 9, 7, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 19077, 7422, 3711, 436, 3233, 7496, 101, 48256, 203, 465, 316, 203, 1070, 19271, 1146, 1188, 892, 1881, 30, 5069, 1881, 30, 32016, 924, 203, 465, 19271, 1146, 32, 1436, 1501, 619, 19271, 22957, 203, 589, 622, 26, 2388, 711, 284, 5881, 2891, 322, 25115, 7422, 3711, 1980, 436, 322, 2164, 32, 284, 886, 3982, 7422, 3711, 29965, 4070, 3733, 7496, 6942, 32, 284, 1670, 2017, 438, 646, 312, 7422, 3711, 3425, 30, 1930, 1591, 32, 284, 5881, 284, 415, 646, 19326, 26, 2388, 30, 7286, 1903, 3483, 10280, 291, 3051, 1114, 1903, 3483, 280, 7422, 3711, 26, 2388, 27, 284, 442, 3051, 1114, 1903, 3483, 203, 823, 7422, 3711, 44, 284, 665, 1156, 1664, 3207, 784, 30, 3051, 711, 291, 5881, 9962, 19848, 688, 4131, 3233, 1603, 32, 291, 886, 7496, 101, 5111, 3282, 372, 322, 5316, 4702, 5024, 328, 322, 7496, 101, 32, 291, 5881, 291, 630, 32, 2388, 280, 3051, 16189, 630, 32, 7202, 869, 280, 892, 1881, 26, 2388, 30, 9142, 31509, 630, 32, 268, 869, 280, 5069, 1881, 26, 2388, 30, 3177, 27, 31509, 630, 32, 1732, 869, 280, 5069, 1881, 26, 2388, 30, 3177, 27, 31509, 630, 32, 1112, 869, 280, 5069, 1881, 26, 2388, 30, 3177, 27, 31509, 630, 32, 4071, 869, 280, 5069, 1881, 26, 2388, 30, 2933, 27, 31509, 630, 32, 975, 869, 280, 5069, 1881, 26, 2388, 30, 3177, 27, 27218, 665, 622, 7202, 26, 784, 711, 291, 442, 630, 32, 7202, 869, 32, 371, 346, 284, 665, 408, 491, 269, 26, 784, 30, 8402, 711, 291, 630, 32, 7202, 869, 32, 470, 26, 7202, 27, 284, 665, 438, 268, 26, 784, 711, 291, 442, 630, 32, 268, 869, 32, 371, 346, 284, 665, 438, 1732, 26, 784, 711, 291, 442, 630, 32, 1732, 869, 32, 371, 346, 284, 665, 438, 1112, 26, 784, 711, 291, 442, 630, 32, 1112, 869, 32, 371, 346, 284, 665, 438, 4071, 26, 784, 711, 291, 442, 630, 32, 4071, 869, 32, 371, 346, 284, 665, 438, 975, 26, 784, 711, 291, 442, 630, 32, 975, 869, 32, 371, 346, 284, 665, 739, 7130, 318, 7202, 26, 784, 30, 8402, 711, 291, 313, 885, 5257, 2685, 40777, 299, 415, 316, 3107, 291, 415, 630, 32, 297, 268, 2262, 324, 8402, 280, 316, 32, 11731, 26, 7202, 27, 291, 630, 32, 470, 7202, 26, 7202, 27, 284, 665, 622, 7130, 318, 7202, 26, 784, 711, 291, 8402, 280, 630, 32, 371, 7202, 346, 291, 415, 646, 630, 32, 297, 268, 2262, 23688, 8402, 280, 316, 32, 11731, 26, 7202, 27, 291, 415, 630, 32, 297, 1112, 2262, 324, 8402, 280, 540, 7646, 84, 23, 101, 78, 84, 20, 904, 8402, 291, 442, 8402, 284, 665, 622, 15446, 26, 784, 711, 291, 313, 2891, 13831, 23682, 318, 3233, 5257, 3107, 291, 8402, 280, 630, 32, 371, 7202, 346, 291, 415, 646, 8402, 44, 324, 630, 32, 3734, 81, 731, 26, 7202, 30, 313, 2766, 10605, 6101, 657, 324, 442, 1665, 291, 8402, 280, 630, 32, 371, 7130, 318, 7202, 346, 291, 5736, 280, 225, 34, 291, 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 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 4, 3, 4, 4, 2, 2, 3, 0, 1, 1, 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, 2, 2, 3, 4, 6, 7, 6, 6, 8, 8, 8, 3, 3, 7, 8, 8, 6, 6, 8, 8, 9, 8, 2, 2, 3, 4, 5, 5, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 8, 8, 9, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 9, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 9, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 9, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 9, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 9, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 8, 8, 7, 5, 5, 8, 8, 10, 11, 10, 11, 10, 4, 4, 7, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 4, 4, 5, 6, 8, 9, 9, 8, 5, 5, 8, 8, 10, 11, 10, 11, 10, 4, 4, 5, 7, 8, 8, 7, 5, 5, 8, 8, 11, 11, 11, 11, 11, 11, 11, 9, 9, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 8, 9, 9, 8, 4, 4, 5, 6, 5, 5, 5, 9, 10, 10, 10, 9, 10, 9, 9, 11, 11, 11, 11, 6, 6, 7, 4, 4, 6, 6, 8, 9, 9, 9, 9, 8, 4, 4, 6, 6, 7, 4, 4 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 0, 2, 2, 1, 1, 2, 0, 4, 4, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 4, 4, 2, 1, 2, 2, 0, 5, 5, 1, 5, 5, 5, 0, 1, 1, 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, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 3, 3, 3, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 0, 2, 1, 3, 3, 4, 1, 2, 1, 2, 4, 4, 0, 0, 2, 2, 0, 2, 1, 3, 3, 5, 1, 2, 1, 2, 5, 5, 0, 0, 2, 2, 0, 2, 1, 3, 3, 6, 1, 2, 1, 2, 6, 6, 0, 0, 2, 2, 0, 2, 1, 3, 3, 7, 1, 2, 1, 2, 7, 7, 0, 0, 2, 2, 0, 2, 1, 3, 3, 8, 1, 1, 1, 2, 1, 2, 2, 2, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 3, 3, 9, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 2, 2, 1, 4, 4, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 3, 3, 3, 10, 1, 2, 1, 2, 10, 10, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 4, 4 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 30, 20654, 30, 7976, 81, 465, 30, 1459, 81, 1126, 203, 465, 15798, 203, 465, 5237, 203, 465, 2322, 203, 1070, 30978, 35, 8861, 1188, 29988, 30, 4527, 203, 1070, 31863, 18986, 81, 8524, 1188, 7841, 203, 2675, 346, 203, 325, 5237, 32, 1648, 81, 1338, 333, 308, 37, 30, 711, 284, 3432, 81, 6933, 280, 596, 284, 1929, 81, 6933, 280, 1946, 261, 203, 1824, 44, 284, 3432, 81, 6933, 280, 3519, 284, 1929, 81, 6933, 280, 629, 203, 4882, 81, 2388, 280, 2322, 32, 983, 32, 7781, 4064, 761, 8223, 203, 18972, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 4882, 81, 2388, 30, 330, 18972, 683, 203, 823, 27955, 4470, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 2208, 81, 23071, 26, 784, 711, 291, 623, 2156, 26, 500, 32, 983, 32, 2524, 26, 18972, 81, 1515, 30, 330, 858, 31, 1146, 31, 493, 32, 23071, 1425, 330, 4506, 683, 619, 296, 44, 324, 6445, 1865, 81, 1357, 280, 29988, 32, 9630, 1865, 1104, 32, 944, 26, 88, 32, 850, 1157, 291, 16074, 280, 6445, 1865, 81, 1357, 710, 6989, 1865, 81, 1357, 81, 1338, 785, 291, 630, 32, 5299, 26, 324, 330, 104, 35, 370, 324, 16074, 710, 1648, 5695, 3723, 291, 829, 291, 630, 32, 5299, 26, 324, 4527, 32, 20663, 7167, 2009, 400, 2726, 7035, 81, 426, 370, 330, 2045, 1425, 400, 2726, 1293, 81, 271, 81, 14645, 81, 426, 370, 330, 15679, 867, 43017, 1421, 1425, 400, 2726, 39639, 81, 426, 370, 330, 1812, 13787, 107, 1425, 400, 2726, 12708, 81, 426, 370, 330, 1227, 106, 12495, 358, 2966, 295, 283, 27606, 1425, 400, 2726, 12708, 279, 81, 2243, 81, 426, 370, 330, 10855, 4803, 6246, 1425, 400, 2726, 2282, 81, 426, 370, 330, 12542, 551, 6257, 1425, 400, 2726, 1935, 81, 2468, 370, 330, 11104, 50, 331, 651, 2425, 32, 716, 1425, 324, 25859, 324, 16074, 710, 6250, 5695, 3723, 291, 829, 291, 630, 32, 5299, 26, 324, 4527, 32, 20663, 7167, 2009, 400, 2726, 12124, 370, 330, 20544, 1425, 400, 2726, 5138, 370, 1665, 471, 324, 25859, 324, 16074, 710, 6250, 81, 3174, 81, 1338, 4902, 12124, 5695, 3723, 291, 829, 291, 630, 32, 5299, 26, 1802, 36, 38, 35, 38, 35, 41, 39, 41, 39, 37, 37, 43, 37, 42, 41, 36, 34, 42, 34, 41, 38, 41, 41, 39, 34, 43, 42, 36, 37, 38, 42, 37, 34, 35, 39, 39, 35, 40, 40, 42, 41, 34, 39, 34, 40, 43, 41, 40, 36, 36, 37, 36, 36, 34, 43, 41, 34, 34, 35, 43, 36, 42, 34, 37, 38, 34, 42, 39, 38, 37, 38, 39, 38, 41, 34, 39, 34, 37, 43, 43, 41, 37, 35, 42, 42, 35, 42, 41, 35, 40, 43, 38, 40, 38, 36, 42, 38, 39, 36, 38, 35, 36, 34, 40, 41, 42, 42, 36, 42, 40, 41, 43, 39, 42, 37, 34, 34, 34, 40, 35, 38, 36, 40, 37, 39, 40, 34, 42, 35, 38, 35, 41, 35, 37, 40, 42 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 0, 3, 3, 0, 1, 1, 3, 4, 4, 4, 2, 2, 4, 3, 3, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 1, 1, 2, 2, 2, 2, 6, 6, 5, 5, 3, 3, 6, 6, 5, 5, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 4, 6, 6, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 10, 14, 13, 14, 12, 13, 12, 13, 13, 13, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 10, 12, 12, 8, 8, 5, 5, 5, 9, 9, 9, 8, 8, 11, 12, 12, 12, 10, 11, 10, 13, 12, 13, 12, 4, 4, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 7, 7, 9, 9, 9, 7, 7, 9, 11, 11, 9, 7, 7, 4, 4, 7, 8, 7, 7, 7, 9, 10, 10, 9, 10, 10, 13, 13, 13, 13, 11, 13, 13, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 10, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 10, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 13, 13, 13, 13, 13, 13, 13, 11, 13, 13, 13, 13, 10, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 10, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 7, 7, 9, 11, 11, 9, 7, 7, 4, 4, 7, 8, 7, 7, 7, 9, 10, 10, 9, 10, 10, 13, 13, 11, 13, 13, 10, 10, 13, 13, 11, 11, 10, 10, 7, 7, 10, 12, 12, 12, 12, 12, 12, 11, 11, 9, 7, 7, 4, 4, 7, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 4, 4, 4, 4, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 1, 0, 7, 7, 0, 2, 2, 2, 1, 1, 1, 2, 2, 7, 7, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 7, 7, 4, 4, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 10, 10, 1, 2, 0, 1, 2, 2, 10, 10, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 11, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 1133, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8082, 81, 520, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 2846, 32, 858, 81, 1040, 1188, 1487, 81, 1696, 81, 5176, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4886, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 14999, 81, 3801, 304, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 7682, 203, 589, 622, 81, 17733, 26, 1516, 81, 17733, 30, 37385, 81, 452, 81, 20224, 30, 20441, 711, 334, 20996, 280, 1605, 334, 26611, 280, 1605, 334, 5683, 81, 4156, 280, 1605, 334, 436, 10366, 81, 314, 328, 2155, 26, 1516, 81, 17733, 711, 284, 3996, 280, 13714, 32, 3406, 346, 284, 438, 81, 380, 21918, 280, 308, 9889, 81, 314, 610, 225, 34, 27, 284, 623, 3996, 32, 302, 81, 1536, 2262, 397, 623, 13714, 32, 2929, 4207, 3245, 44, 1069, 33, 2795, 44, 34, 10280, 291, 3649, 81, 2997, 280, 4886, 32, 3818, 26, 34, 30, 636, 347, 3264, 81, 2997, 392, 5683, 444, 47, 2700, 27, 291, 773, 81, 34, 280, 4886, 32, 3818, 26, 34, 32, 34, 30, 636, 347, 104, 34, 657, 397, 623, 13714, 32, 2929, 4207, 3245, 44, 1069, 33, 2795, 44, 35, 10280, 291, 773, 81, 35, 280, 4886, 32, 3818, 26, 35, 32, 34, 30, 636, 347, 104, 35, 657, 291, 773, 81, 15378, 280, 4886, 32, 3818, 21145, 37, 32, 34, 614, 428, 38, 32, 34, 6137, 636, 347, 104, 81, 15378, 657, 397, 623, 13714, 32, 2929, 4207, 3245, 44, 9889, 33, 2795, 1924, 474, 596, 26, 9889, 81, 314, 8531, 291, 8056, 101, 81, 34, 280, 8082, 81, 520, 32, 8662, 26, 34, 32, 35, 474, 10366, 81, 314, 319, 225, 34, 32, 36, 27, 291, 8056, 101, 81, 35, 280, 8082, 81, 520, 32, 8662, 26, 34, 32, 43, 474, 10366, 81, 314, 319, 225, 34, 32, 36, 27, 291, 8056, 101, 81, 15378, 280, 13714, 32, 14775, 69, 18650, 26, 324, 8082, 81, 520, 32, 8662, 26, 400, 428, 34, 32, 35, 474, 10366, 81, 314, 319, 225, 34, 32, 36, 614, 6024, 6020, 35, 30, 225, 35, 5727, 324, 8082, 81, 520, 32, 8662, 2009, 35, 5727, 324, 8082, 81, 520, 32, 8662, 2009, 36, 30, 225, 35, 5259, 291, 309, 10575, 81, 2215, 280, 14999, 81, 3801, 304, 32, 15316, 1450, 2460, 29248, 26, 36, 32, 34, 27, 291, 7652, 81, 4315, 81, 2215, 280, 7682, 32, 4764, 41316, 29248, 26, 324, 309, 10575, 81, 2215, 30, 324, 37385, 81, 452, 81, 20224, 47, 44678, 81, 452, 81, 20224, 30, 324, 3380, 81, 1516, 81, 44678, 47, 1516, 81, 17733, 27, 291, 5683, 81, 520, 280, 428, 324, 7652, 81, 4315, 81, 2215, 32, 4699, 81, 44473, 26, 400, 8529, 2009, 4943, 101, 81, 34, 30, 8056, 101, 81, 35, 30, 8056, 101 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 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, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 1, 1, 4, 4, 2, 2, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 5, 6, 6, 6, 5, 3, 3, 6, 6, 8, 9, 8, 4, 4, 7, 7, 7, 6, 6, 9, 9, 9, 8, 8, 9, 7, 4, 4, 5, 9, 10, 10, 10, 9, 5, 5, 7, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 7, 7, 11, 11, 10, 10, 12, 13, 12, 13, 12, 12, 13, 15, 15, 15, 15, 12, 14, 13, 14, 12, 8, 8, 11, 11, 10, 10, 12, 13, 12, 13, 13, 13, 12, 12, 13, 15, 15, 15, 6, 6, 7, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 7, 7, 11, 11, 10, 10, 12, 13, 12, 13, 13, 13, 12, 12, 13, 15, 15, 15, 8, 8, 11, 11, 10, 10, 12, 13, 12, 15, 15, 15, 14, 13, 15, 15, 15, 14, 12, 13, 15, 15, 15, 15, 6, 6, 7, 11, 12, 11, 14, 14, 14, 14, 14, 14, 12, 12, 14, 15, 15, 15, 14, 7, 7, 11, 11, 11, 10, 10, 13, 13, 12, 13, 12, 14, 14, 14, 13, 13, 15, 15, 14, 14, 15, 15, 15, 12, 8, 8, 11, 11, 11, 10, 10, 13, 13, 12, 13, 12, 14, 14, 14, 13, 13, 15, 15, 14, 14, 15, 15, 15, 12, 8, 8, 11, 11, 11, 10, 10, 12, 13, 13, 13, 12, 12, 12, 15, 15, 14, 15, 14, 14, 14, 17, 17, 17, 16, 16, 18, 18, 17, 17, 18, 18, 18, 15, 14, 15, 17, 16, 16, 17, 16, 12, 12, 15, 15, 14, 15, 14, 16, 15, 12, 12, 15, 15, 14, 15, 14, 16, 15, 15, 16, 15, 8, 8, 11, 11, 11, 10, 10, 13, 13, 13, 12, 13, 13, 13, 13, 12, 13, 13, 13, 12, 8, 8, 11, 11, 11, 11, 10, 10, 12, 13, 13, 13, 12, 12, 12, 13, 13, 13, 12, 12, 12, 14, 14, 14, 14, 13, 14, 14, 14, 14, 14, 12, 12, 12, 14, 14, 14, 14, 13, 14, 14, 14, 12, 8, 8, 11, 11, 10, 10, 11, 11, 14, 14, 14, 14, 13, 14, 14, 14, 13, 13, 13, 15, 17, 17, 17, 17, 16, 16, 17, 17, 17, 16, 16, 17 ]
[ 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, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 11, 11, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 11, 11, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 3, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 5, 5, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 0, 5, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 3, 3, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1, 1, 2, 3, 3, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 3, 1, 2, 2, 3, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 5, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5 ]
[ 1270, 44, 284, 1188, 787, 1525, 284, 35890, 81, 9451, 852, 280, 2933, 203, 7343, 29986, 44, 284, 35890, 81, 9451, 852, 280, 3177, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 2322, 81, 4373, 81, 1363, 203, 4021, 81, 2310, 44, 2222, 33, 3410, 7663, 8351, 645, 600, 3927, 3113, 8668, 32, 203, 9971, 81, 10270, 81, 9854, 44, 2156, 3034, 203, 2116, 44, 313, 23200, 107, 394, 38478, 11931, 405, 388, 107, 4731, 203, 1648, 81, 11043, 44, 313, 36, 32, 34, 20, 203, 2310, 44, 664, 429, 2222, 556, 6478, 7663, 8351, 645, 600, 3927, 3113, 8668, 32, 203, 2184, 44, 664, 636, 44, 275, 3048, 44, 291, 429, 3270, 688, 1401, 372, 526, 2702, 372, 322, 7663, 2350, 32, 1348, 2297, 616, 7171, 688, 7663, 2350, 4467, 526, 5799, 32, 275, 2129, 44, 861, 664, 3048, 44, 275, 3048, 44, 291, 429, 6359, 3048, 432, 322, 11664, 432, 322, 7663, 2350, 275, 2129, 44, 901, 275, 1244, 44, 1665, 664, 1603, 44, 275, 3048, 44, 1568, 429, 9043, 322, 2869, 526, 5024, 556, 40118, 32, 275, 16682, 44, 428, 2689, 30, 40118, 79, 275, 1244, 44, 5024, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 21, 2648, 312, 7663, 2350, 203, 31, 2322, 81, 4373, 81, 1363, 44, 284, 8668, 47, 95, 655, 1092, 284, 1603, 47, 2689, 284, 636, 47, 3986, 284, 3048, 47, 4373, 2350, 436, 9214, 13602, 203, 21, 4000, 322, 4905, 330, 3986, 25, 7663, 2350, 3048, 203, 31, 2322, 81, 4373, 81, 1363, 44, 284, 8668, 47, 95, 655, 1092, 284, 1603, 47, 2689, 284, 636, 47, 3986, 284, 3048, 47, 6368, 3048, 436, 322, 9214, 7663, 2350, 203, 9592, 203, 589, 617, 23800, 81, 1877, 26, 1647, 30, 8382, 1363, 711, 284, 415, 8382, 1363, 710, 2310, 785, 863, 2297, 32, 2132, 710, 2310, 12132, 291, 442, 2933, 284, 442, 3177, 203, 589, 617, 2946, 81, 1293, 81, 2342, 26, 1647, 30, 8382, 1363, 711, 284, 1603, 280, 2297, 32, 2132, 710, 1293, 785, 284, 415, 1603, 610, 330, 2689, 950, 291, 415, 646, 8382, 1363, 44, 324, 442, 2933, 291, 442, 617, 23800, 81, 1877, 26, 1647, 30, 8382, 1363, 27, 284, 415, 1603, 610, 330, 3596, 304, 25, 461, 8382, 1363, 44, 291, 442, 2933, 284, 442, 3177, 203, 589, 2575, 2262, 284, 2793, 81, 2285, 280, 2156, 3034, 81, 2620, 81, 2669, 81, 2285, 26, 291, 636, 47, 2665, 26, 3648, 47, 1815, 471, 291, 3048, 47, 2665, 26, 1536, 47, 2521, 471, 291, 1603, 47, 2665, 26, 1536, 1057, 2689, 370, 16682, 11414, 3596, 304, 370, 330, 2689, 16578, 284, 829, 284, 2297, 81, 5321, 280, 2156, 3034, 81, 1647, 81, 5321, 346, 284, 2297, 280, 35603, 2459, 26, 2669, 81, 2285, 30, 6029, 9567, 81, 1553, 81, 2816, 47, 1815, 30, 6029, 1115, 1647, 81, 5321, 27, 284, 415, 646, 35890, 81, 9451, 852, 44, 291, 2297, 32, 5066, 81, 1260, 26, 2076, 1057, 38049, 438, 2129, 436, 458, 2297, 683, 284, 636, 280, 2297, 32, 2132, 710, 426, 785, 284, 1603, 280, 2297, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 5, 2, 2, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 6, 6, 6, 5, 5, 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, 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, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 6, 5, 7, 7, 4, 4, 6, 7, 5, 7, 7, 3, 3, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 5, 7, 7, 2, 2, 3, 4, 4, 6, 6, 3, 3, 5, 6, 7, 5, 5, 5, 7, 4, 4, 5, 7, 7, 7, 7, 8, 7, 7, 8, 7, 2, 2, 3, 5, 5, 7, 7, 7, 4, 4, 5, 3, 3, 3, 5, 2, 2, 3, 0, 1, 1, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 9, 9, 11, 10, 11, 9, 6, 6, 7, 9, 9, 11, 10, 11, 9, 6, 6, 7, 9, 9, 11, 10, 12, 12, 9, 10, 13, 13, 13, 11, 13, 13, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 7, 7, 7, 6, 6, 6, 8, 8, 8, 8, 7, 8, 6, 6, 6, 8, 8, 8, 6, 2, 2, 3, 4, 5, 5, 5, 3, 3, 3, 7, 8, 8, 8, 7, 9, 8, 10, 10, 10, 10, 10, 10, 10, 2, 2, 4, 4, 6, 7, 5, 7, 7, 2, 2, 4, 4, 6 ]
[ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 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, 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, 2, 0, 3, 3, 1, 1, 1, 2, 1, 2, 2, 3, 2, 3, 3, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 4, 4, 1, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 3, 3, 1, 0, 0, 0, 1, 1, 1, 1, 3, 1, 4, 4, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 4, 4, 3, 0, 5, 5, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 3, 0, 1, 0, 1, 2, 1, 1, 1, 5, 0, 1, 0, 1, 1, 2, 1, 3, 1, 1, 2, 2, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 3, 3, 3, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0 ]
[ 465, 5237, 30, 2322, 30, 22977, 30, 7138, 203, 465, 33784, 37, 203, 465, 33784, 37, 32, 3242, 203, 1070, 15388, 21055, 1188, 15388, 21055, 203, 1070, 15388, 2825, 1188, 15388, 2825, 203, 823, 390, 978, 3711, 44, 203, 202, 6264, 81, 2536, 280, 739, 346, 203, 202, 589, 2290, 81, 22450, 26, 784, 30, 1561, 761, 30, 1695, 81, 1515, 711, 357, 202, 1617, 761, 280, 2322, 32, 983, 32, 35490, 26, 1617, 761, 27, 357, 202, 325, 1561, 761, 328, 630, 32, 6264, 81, 2536, 44, 355, 202, 601, 739, 346, 357, 202, 784, 32, 6264, 81, 2536, 32, 669, 26, 1617, 761, 27, 357, 202, 4426, 280, 2156, 26, 1617, 761, 30, 330, 2051, 683, 357, 202, 4446, 280, 11828, 32, 33232, 346, 357, 202, 4426, 32, 2679, 346, 357, 202, 22450, 280, 1605, 357, 202, 979, 1628, 328, 5430, 44, 355, 202, 325, 1628, 32, 1809, 463, 465, 683, 610, 429, 35, 44, 603, 202, 7505, 355, 202, 928, 280, 1628, 32, 7201, 922, 7201, 463, 45, 895, 355, 202, 1069, 280, 1628, 32, 2998, 473, 355, 202, 325, 9661, 77, 34, 79, 863, 330, 465, 950, 603, 202, 7505, 355, 202, 979, 298, 328, 9661, 77, 225, 35, 499, 2786, 603, 202, 98, 280, 298, 32, 7201, 35052, 603, 202, 22450, 32, 1689, 26, 98, 293, 357, 202, 979, 298, 328, 14422, 44, 355, 202, 784, 32, 1809, 81, 2536, 26, 98, 30, 1695, 81, 1515, 293, 357, 202, 601, 630, 32, 6264, 81, 2536, 203, 202, 589, 2290, 81, 2536, 26, 784, 30, 5809, 30, 1695, 81, 1515, 711, 357, 202, 1069, 280, 5809, 32, 2998, 36909, 357, 202, 2135, 280, 9661, 32, 3235, 3736, 35, 27, 357, 202, 983, 280, 1695, 81, 1515, 474, 13637, 474, 3056, 2473, 2524, 26, 1069, 27, 357, 202, 325, 2401, 610, 13838, 950, 355, 202, 325, 2322, 32, 983, 32, 34103, 26, 983, 711, 603, 202, 2548, 280, 2322, 32, 26366, 26, 983, 27, 603, 202, 979, 296, 328, 5980, 44, 577, 202, 325, 296, 32, 20643, 3949, 5145, 7831, 1379, 202, 761, 280, 2322, 32, 983, 32, 35490, 26, 983, 474, 13637, 474, 296, 27, 1379, 202, 784, 32, 1809, 81, 22450, 26, 761, 30, 1519, 27, 357, 202, 1824, 44, 355, 202, 761, 280, 1519, 474, 13637, 474, 2401, 474, 5608, 5145, 25, 355, 202, 325, 2322, 32, 983, 32, 29712, 26, 761, 711, 603, 202, 784, 32, 1809, 81, 22450, 26, 761, 30, 1519, 27, 203, 202, 589, 8329, 26, 784, 30, 1561, 761, 30, 1695, 81, 1515, 30, 1688, 81, 1515, 711, 357, 202, 1617, 761, 280, 2322, 32, 983, 32, 35490, 26, 1617, 761, 27, 357, 202, 1439, 81, 1515, 280, 2322, 32, 983, 32, 35490, 26, 1439, 81, 1515, 27, 357, 202, 2024, 81, 1515, 280, 2322, 32, 983, 32, 35490, 26, 2024, 81, 1515, 27, 357, 202, 2536, 280, 630, 32, 1809, 81, 22450, 26, 1617, 761, 30, 1695, 81, 1515, 27, 357, 202, 2536, 32, 2546, 26, 1617, 761, 27, 357, 202, 325, 2069, 26, 2536, 27, 848, 225, 34, 44 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 1, 1, 1, 5, 5, 5, 4, 4, 6, 2, 2, 3, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 8, 4, 4, 5, 5, 7, 6, 6, 7, 8, 8, 8, 5, 5, 5, 7, 7, 9, 4, 4, 9, 8, 9, 9, 9, 7, 8, 7, 8, 8, 7, 4, 4, 7, 6, 6, 8, 9, 9, 8, 8, 10, 10, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 8, 7, 8, 7, 4, 4, 7, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 7, 7, 10, 11, 10, 12, 12, 8, 8, 10, 7, 7, 7, 9, 6, 6, 9, 8, 8, 12, 13, 12, 11, 10, 12, 12, 6, 6, 9, 8, 8, 10, 11, 10, 6, 6, 7, 7, 9, 10, 9, 8, 8, 10, 10, 7, 7, 9, 6, 6, 7, 7, 7, 7, 8, 8, 10, 9, 8, 7, 7, 11, 10, 10, 12, 13, 12, 8, 8, 12, 11, 12, 11, 12, 11, 4, 4, 5, 5, 5, 5, 5, 5, 5, 10, 9, 10, 10, 10, 9, 10, 9, 9, 10, 10, 9, 4, 4, 5, 5, 6, 7, 7, 7, 2, 2, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 6, 6, 8, 9, 8, 4, 4, 7, 6, 6, 8, 9, 8, 10, 8, 4, 4, 7, 6, 6, 9, 9, 8, 8, 7, 7, 11, 10, 9, 10, 9, 4, 4, 5, 5, 6, 6, 8, 5, 5, 7, 7, 10, 11, 9, 10, 9, 10, 9, 7, 7, 11, 10, 10, 12, 13, 12, 13, 12, 8, 8, 9, 9, 9, 9, 9, 9, 9, 11, 11, 13, 14, 13, 15, 15, 11, 11, 15, 14, 14, 17, 18, 16, 17, 16, 19, 18, 18, 17, 17, 16, 12, 12, 16, 15, 16, 16, 16, 15, 16, 15, 15, 15, 5, 5, 6, 6, 6, 6, 10, 9, 9, 12, 12, 11, 11, 10, 10, 12, 12, 7, 7, 8, 8, 11, 12, 10, 11, 10, 11, 10, 8, 8, 13, 12, 13, 13, 13, 12, 13, 12, 12, 12, 2, 2, 3, 3, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 8, 9, 9, 9, 8, 9, 9, 8, 8, 9, 9, 8, 4, 4, 8, 7, 8, 7, 8, 8, 7, 4, 4, 5, 5, 8, 9, 8, 6, 6, 7, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 1, 1, 5, 5, 5, 0, 0, 0, 0, 0, 1, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 5, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 4, 4, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 4, 4, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 0, 0, 0, 4, 4, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 1, 5, 5, 5, 5, 0, 2, 0, 1, 1, 1, 2, 5, 5, 0, 5, 5, 6, 6, 6, 6, 3, 3, 0, 2, 3, 6, 6, 0, 0, 0, 0, 2, 1, 5, 5, 0, 0, 2, 1, 1, 1, 4, 4, 8, 8, 8, 8, 8, 8, 8, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 9, 9, 1, 2, 2, 2, 3, 3, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 3, 3, 1, 1, 2, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 2, 1, 2, 2, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 4, 4, 5, 5, 1, 1, 1, 1, 1, 2, 5 ]
[ 465, 343, 2632, 203, 465, 4395, 203, 1070, 2322, 315, 81, 1163, 1188, 8444, 203, 1070, 2334, 16945, 1188, 1619, 203, 1070, 2334, 16945, 1188, 3082, 203, 1070, 2334, 16945, 1188, 3756, 203, 1070, 2334, 16945, 1188, 7884, 203, 1070, 2334, 16945, 1188, 2719, 203, 1070, 2334, 16945, 1188, 894, 203, 1070, 2334, 16945, 1188, 8745, 203, 1070, 2334, 16945, 1188, 341, 25673, 203, 858, 81, 2122, 81, 6363, 280, 428, 284, 8444, 32, 2007, 5482, 440, 9539, 81, 4018, 392, 3083, 1244, 347, 1588, 16945, 32, 4882, 32, 858, 81, 2122, 32, 13190, 1572, 392, 3083, 3049, 347, 1572, 436, 6325, 2113, 284, 8444, 32, 2007, 5482, 440, 858, 81, 2122, 81, 12220, 392, 3083, 3049, 347, 3663, 372, 5111, 894, 2719, 372, 2113, 284, 8444, 32, 1428, 5482, 440, 858, 81, 2122, 81, 12220, 81, 625, 392, 3083, 1244, 47, 34, 30, 3083, 3049, 347, 3437, 1451, 372, 5111, 894, 2719, 372, 2113, 203, 79, 203, 14594, 280, 8444, 32, 14594, 203, 14594, 32, 3317, 81, 6363, 26, 858, 81, 2122, 81, 6363, 27, 203, 823, 18883, 1572, 26, 4018, 32, 1572, 711, 284, 17292, 81, 2554, 81, 4530, 280, 313, 35, 32, 34, 20, 284, 665, 1156, 1664, 3207, 784, 30, 3408, 47, 2521, 30, 3082, 81, 5350, 47, 2521, 30, 2719, 81, 426, 47, 2521, 711, 291, 2599, 26, 13190, 1572, 30, 630, 14585, 1664, 3207, 2035, 47, 2035, 30, 3082, 81, 5350, 47, 1199, 81, 5350, 27, 284, 665, 894, 81, 1959, 26, 784, 711, 291, 442, 330, 4018, 25, 203, 823, 24683, 1183, 26, 2122, 32, 1183, 711, 284, 665, 894, 81, 1959, 26, 784, 711, 291, 442, 330, 2122, 25, 203, 823, 4851, 1572, 7233, 26, 858, 32, 7233, 711, 284, 665, 894, 81, 1436, 81, 19138, 81, 452, 81, 4018, 26, 784, 711, 291, 14967, 280, 2719, 32, 1183, 463, 858, 370, 330, 858, 370, 330, 858, 370, 45623, 32, 9539, 81, 4018, 27, 291, 14967, 32, 1366, 346, 291, 630, 32, 5299, 463, 4018, 370, 14967, 32, 858, 81, 1959, 1157, 284, 665, 894, 81, 7106, 81, 4018, 81, 1959, 26, 784, 711, 291, 14967, 280, 24683, 1183, 463, 858, 370, 330, 858, 370, 330, 858, 370, 45623, 32, 9539, 81, 4018, 27, 291, 14967, 32, 1366, 346, 291, 630, 32, 5299, 463, 2122, 370, 14967, 32, 858, 81, 1959, 1157, 203, 823, 4851, 4629, 7233, 26, 858, 32, 7233, 711, 284, 665, 894, 81, 2122, 81, 6565, 81, 267, 81, 1297, 81, 7873, 81, 267, 81, 4555, 26, 784, 711, 291, 630, 32, 4545, 26, 4898, 81, 890, 81, 4255, 47, 1815, 27, 291, 3408, 280, 330, 3986, 25, 291, 5298, 280, 330, 1588, 16945, 31, 9539, 25, 291, 1123, 280, 2719, 32, 1183, 32, 1297, 26, 2035, 47, 2035, 30, 5298, 47, 7003, 27, 291, 1123, 32, 1366, 346, 291, 1123, 32, 4048, 346, 291, 2488, 280, 3082, 32, 2122, 81, 371, 26, 1819, 32, 371, 81, 2300, 81, 1819, 1026, 1123, 32, 2122, 81, 314, 27, 291, 3082, 32, 2122, 81, 6976, 26, 1819, 32, 371, 81, 2300, 81, 1819 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 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, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 7, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 0, 3, 2, 2, 3, 4, 0, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 9, 8, 9, 7, 7, 9, 9, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 8, 10, 10, 8, 10, 10, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 7, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 10, 10, 8, 10, 10, 8, 10, 10, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 7, 9, 10, 10, 10, 9, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 8, 9, 7, 4, 4, 6, 6, 8, 8, 4, 4, 6, 6, 8, 8, 8, 8, 8, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 11, 10, 11, 11, 11, 11, 11, 10, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 7, 10, 9, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 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, 7, 7, 0, 8, 8, 0, 8, 8, 0, 9, 9, 0, 9, 9, 0, 10, 10, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 14, 14, 1, 2, 0, 1, 2, 2, 14, 14, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 0, 0, 7, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 15, 15, 1, 2, 0, 1, 2, 2, 15, 15, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 16, 16, 1, 1, 2, 0, 1, 2, 2, 16, 16, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 7, 2, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 7, 2, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 17, 17, 1, 1, 2, 0, 1, 2, 2, 17, 17, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2 ]
[ 465, 5237, 203, 589, 1487, 81, 2751, 26, 6363, 30, 3312, 30, 3380, 81, 4882, 30, 20441, 711, 284, 415, 6410, 32, 22290, 44, 291, 442, 489, 520, 3933, 346, 284, 432, 81, 2999, 280, 2726, 432, 904, 86, 25, 904, 3380, 81, 4882, 27, 415, 308, 4882, 863, 3380, 81, 4882, 27, 813, 4247, 284, 3338, 280, 11363, 15593, 44, 904, 86, 23, 101, 3312, 30, 904, 86, 20441, 769, 25, 904, 308, 4882, 30, 432, 81, 2999, 30, 20441, 27, 284, 6538, 81, 1632, 280, 1665, 284, 415, 6410, 32, 40733, 10837, 461, 6410, 32, 539, 23576, 44, 291, 1188, 21470, 32, 23576, 291, 1596, 44, 324, 12889, 280, 21470, 32, 23576, 32, 14537, 1917, 346, 324, 6538, 81, 1632, 280, 21470, 32, 23576, 32, 23576, 26, 5478, 30, 3338, 27, 324, 3338, 280, 1665, 291, 2940, 10091, 44, 324, 6538, 81, 1632, 280, 21470, 32, 23576, 32, 5291, 23576, 463, 10855, 44, 11134, 284, 442, 8525, 26, 6363, 30, 3312, 30, 3338, 30, 6538, 81, 1632, 27, 203, 823, 489, 520, 3933, 26, 1473, 711, 284, 665, 1459, 81, 2111, 26, 784, 711, 3097, 284, 665, 1974, 26, 784, 30, 894, 711, 3097, 284, 665, 4233, 26, 784, 30, 42050, 711, 3097, 203, 823, 8525, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 6410, 30, 3312, 30, 3338, 30, 6538, 81, 1632, 711, 291, 630, 32, 6363, 280, 6410, 291, 630, 32, 4882, 280, 3312, 291, 630, 32, 2111, 280, 3338, 291, 630, 32, 6654, 81, 1632, 280, 6538, 81, 1632, 291, 630, 32, 14704, 280, 225, 34, 284, 665, 1459, 81, 2111, 26, 784, 711, 291, 415, 630, 32, 2111, 44, 324, 1459, 26, 784, 32, 2111, 27, 291, 415, 630, 32, 6654, 81, 1632, 44, 324, 630, 32, 6654, 81, 1632, 32, 1877, 26, 34, 32, 34, 30, 9142, 284, 665, 1974, 26, 784, 30, 894, 711, 291, 630, 32, 14704, 1454, 225, 35, 291, 2519, 81, 1267, 280, 894, 32, 297, 7961, 346, 556, 766, 400, 630, 32, 6363, 32, 2245, 1934, 2301, 556, 766, 400, 308, 1206, 630, 32, 6363, 32, 22290, 461, 646, 630, 32, 6363, 32, 40733, 10837, 27, 291, 415, 2519, 81, 1267, 44, 324, 415, 630, 32, 6654, 81, 1632, 44, 400, 630, 32, 6654, 81, 1632, 32, 3815, 26, 1146, 12828, 47, 2700, 27, 324, 630, 32, 1216, 81, 1267, 26, 858, 27, 291, 415, 630, 32, 6654, 81, 1632, 44, 324, 415, 894, 32, 297, 7961, 2262, 400, 630, 32, 6654, 81, 1632, 32, 1632, 1514, 280, 330, 7097, 25, 324, 13720, 280, 1897, 26, 784, 32, 14704, 27, 517, 630, 32, 4882, 324, 630, 32, 6654, 81, 1632, 32, 1877, 26, 11650, 30, 894, 32, 371, 16058, 1157, 284, 665, 4233, 26, 784, 30, 42050, 711, 291, 415, 630, 32, 6654, 81, 1632, 44, 324, 630, 32, 6654, 81, 1632, 32, 3815, 26, 1146, 12828, 27, 284, 665, 1459, 81, 1267, 26, 784, 30, 894, 711, 291, 894, 81, 426, 280, 894, 32, 371, 16058, 346, 291, 1459, 15339, 101, 44, 904, 101, 10027, 86, 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 ]
[ 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 4, 5, 3, 3, 3, 5, 7, 7, 7, 2, 2, 5, 5, 4, 4, 9, 9, 9, 9, 7, 7, 8, 8, 6, 5, 5, 8, 7, 7, 8, 8, 6, 5, 5, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 6, 6, 7, 7, 6, 6, 6, 2, 2, 5, 5, 4, 4, 2, 2, 3, 5, 6, 6, 4, 4, 5, 6, 6, 3, 3, 3, 5, 6, 7, 4, 4, 5, 5, 5, 8, 8, 11, 12, 10, 11, 11, 10, 6, 6, 9, 9, 8, 8, 11, 12, 10, 11, 10, 11, 10, 10, 10, 6, 6, 8, 8, 5, 5, 6, 6, 6, 6, 10, 10, 9, 9, 12, 13, 11, 12, 12, 11, 13, 13, 13, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 2, 2, 3, 4, 5, 4, 4, 4, 3, 2, 2, 3, 4, 5, 4, 4, 4, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 5, 5, 5, 9, 11, 10, 11, 9, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 10, 11, 11, 11, 9, 10, 9, 10, 10, 10, 9, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 7, 7, 6, 6, 10, 11, 11, 10, 8, 8, 9, 8, 10, 11, 9, 10, 10, 10, 7, 7, 8, 7, 10, 10, 12, 13, 11, 12, 9, 9, 10, 12, 13, 11, 12, 12, 8, 4, 4, 5, 6, 6, 5, 5, 5, 7, 8, 9, 9, 9, 7, 7, 7, 12, 13, 13, 13, 11, 12, 11, 13, 13, 12, 13, 11, 6, 6, 9, 10, 10, 10, 9, 10, 9, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 7, 9, 10, 10, 9, 7, 7, 12, 13, 13, 13, 11, 12, 12, 10, 10, 12, 12, 6, 6, 8, 8, 11, 13, 12, 13, 11, 9, 9, 10, 11, 6, 6, 10, 11, 11, 11, 9, 10, 9, 10, 9, 9, 11, 12, 12, 11, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 10, 11, 11, 11, 9, 10, 9, 10, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 8, 4, 4, 7, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 2, 2, 1, 1, 2, 2, 2, 4, 4, 4, 0, 1, 2, 3, 3, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 4, 4, 1, 2, 1, 2, 2, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 0, 3, 3, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 3, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 3, 4, 4, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 2, 2, 2, 3, 3, 3, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 3, 3, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 3, 3, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 4, 4, 3, 2, 1, 2, 2, 2, 3, 3, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 22977, 203, 1070, 5839, 1356, 1188, 43089, 81, 4903, 203, 465, 12500, 203, 465, 2322, 203, 465, 5237, 203, 1070, 12500, 1188, 3619, 3399, 619, 5743, 203, 325, 2322, 32, 426, 610, 313, 28950, 20, 461, 330, 20745, 25, 646, 328, 2322, 32, 12757, 44, 284, 1459, 440, 13238, 46599, 7655, 44, 3139, 8525, 2431, 30, 1471, 2979, 31, 17107, 16015, 9161, 392, 803, 47, 3731, 32, 8228, 27, 284, 12500, 32, 539, 463, 3672, 683, 284, 1188, 12500, 32, 17449, 619, 5743, 203, 1824, 44, 284, 1188, 12500, 32, 17449, 619, 5743, 284, 5743, 32, 285, 346, 203, 589, 5839, 81, 2536, 26, 5483, 30, 2670, 30, 39588, 47, 2521, 711, 284, 623, 2156, 26, 5553, 27, 619, 296, 36, 98, 44, 291, 2670, 81, 4446, 280, 296, 36, 98, 32, 33232, 346, 284, 623, 2156, 26, 5483, 27, 619, 296, 35, 98, 44, 291, 2685, 81, 4446, 280, 296, 35, 98, 32, 33232, 346, 284, 2670, 81, 4446, 280, 428, 928, 32, 7201, 346, 436, 1628, 328, 2670, 81, 4446, 79, 284, 2685, 81, 4446, 280, 428, 928, 32, 7201, 346, 436, 1628, 328, 2685, 81, 4446, 79, 284, 415, 39588, 44, 291, 436, 10302, 81, 3890, 328, 39588, 44, 324, 2670, 81, 4446, 280, 428, 928, 436, 1628, 328, 2670, 81, 4446, 415, 10302, 81, 3890, 646, 328, 1628, 79, 324, 2685, 81, 4446, 280, 428, 928, 436, 1628, 328, 2670, 81, 4446, 415, 10302, 81, 3890, 646, 328, 1628, 79, 284, 3124, 280, 313, 982, 6992, 2149, 461, 2149, 3491, 96, 2296, 1643, 26, 5553, 30, 2685, 27, 284, 5430, 280, 428, 928, 436, 1628, 328, 43089, 81, 4903, 26, 291, 2670, 81, 4446, 30, 291, 2685, 81, 4446, 30, 291, 645, 761, 347, 23469, 5989, 1748, 2296, 1643, 26, 5553, 471, 291, 372, 761, 347, 858, 5989, 1748, 2296, 1643, 26, 5483, 471, 291, 310, 47, 34, 2177, 284, 415, 5430, 44, 291, 3124, 1454, 313, 225, 5422, 21005, 3491, 96, 78, 102, 20, 474, 2706, 96, 78, 102, 2296, 2524, 26, 4446, 27, 291, 438, 81, 42113, 280, 3177, 284, 813, 44, 291, 3124, 1454, 313, 4435, 21005, 2431, 3107, 291, 438, 81, 42113, 280, 2933, 284, 442, 438, 81, 42113, 30, 3124, 203, 589, 617, 6008, 81, 268, 1297, 26, 27750, 711, 284, 415, 2322, 32, 983, 32, 4658, 26, 27750, 711, 291, 22977, 32, 100, 41718, 26, 27750, 27, 284, 2322, 32, 10174, 26, 27750, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 4, 2, 2, 0, 1, 1, 4, 5, 3, 3, 5, 5, 2, 2, 5, 5, 3, 3, 3, 4, 5, 1, 1, 1, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 8, 7, 8, 5, 2, 2, 5, 6, 5, 7, 7, 2, 2, 3, 5, 6, 4, 4, 1, 2, 2, 2, 2, 4, 6, 7, 5, 5, 3, 3, 6, 7, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 1, 1, 3, 8, 9, 8, 6, 6, 8, 8, 3, 3, 3, 7, 7, 6, 6, 9, 9, 8, 9, 8, 2, 2, 3, 8, 9, 8, 6, 6, 8, 8, 3, 3, 3, 7, 7, 6, 6, 9, 9, 8, 9, 8, 2, 2, 5, 5, 4, 4, 8, 7, 8, 7, 5, 6, 6, 6, 7, 7, 5, 2, 2, 5, 5, 4, 4, 8, 7, 8, 7, 5, 6, 6, 6, 7, 7, 5, 2, 2, 3, 3, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 9, 9, 8, 8, 10, 9, 10, 10, 10, 11, 11, 9, 10, 12, 12, 11, 11, 11, 9, 6, 6, 9, 9, 8, 8, 10, 9, 10, 10, 10, 11, 11, 9, 10, 12, 12, 11, 11, 11, 9, 2, 2, 4, 4, 8, 8, 8, 8, 8, 8, 9, 8, 7, 6, 7, 6, 6, 6, 2, 2, 4, 4, 6, 5, 6, 6, 6, 8, 8, 8, 8, 8, 9, 9, 8, 8, 8, 9, 9, 8, 8, 8, 10, 9, 13, 13, 13, 13, 12, 11, 12, 11, 8, 8, 10, 9, 13, 13, 13, 13, 12, 11, 12, 11, 8, 8, 9, 10, 8, 2, 2, 3, 3, 3, 3, 6, 6, 9, 9, 9, 9, 10, 10, 10, 9, 7, 7, 12, 12, 12, 11, 10, 9, 10, 9, 4, 4, 7, 7, 6, 6, 3, 3, 4, 4, 4, 7, 7, 9, 9, 9, 9, 5, 5, 8, 8, 7, 7, 2, 2, 3, 5, 5, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 5, 6, 5, 3, 3, 7, 8, 8, 7, 8, 7, 2, 2, 5, 6, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 0, 3, 3, 0, 7, 7, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 0, 2, 2, 1, 3, 3, 0, 2, 1, 1, 2, 3, 3, 2, 0, 2, 1, 1, 7, 4, 4, 4, 4, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 8, 8, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 8, 8, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 3, 3, 2, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 3, 2, 3, 0, 0, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 3, 2, 3, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 5, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 7, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 9, 2, 1, 4, 4, 7, 7, 7, 7, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 7, 7, 4, 4, 4, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 4, 4, 8, 0, 0, 1, 1, 0, 9, 9, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 7138, 203, 1070, 9368, 2983, 417, 978, 1188, 3082, 203, 1070, 39231, 1188, 39231, 619, 14208, 203, 823, 30254, 26, 1199, 32, 1243, 711, 284, 1156, 34426, 505, 280, 330, 5416, 3009, 25, 284, 804, 280, 3082, 32, 2137, 26, 1199, 32, 3061, 30, 7458, 81, 678, 47, 1815, 27, 284, 34154, 280, 3082, 32, 2137, 26, 1199, 32, 652, 26, 36, 34, 34, 490, 284, 1984, 280, 3082, 32, 2137, 26, 1199, 32, 1031, 1026, 5799, 47, 2700, 27, 284, 2488, 18036, 280, 3082, 32, 2137, 26, 1199, 32, 1031, 1026, 5799, 47, 2700, 27, 284, 21032, 280, 3082, 32, 2137, 26, 1199, 32, 1031, 1026, 5799, 47, 2700, 27, 284, 1256, 81, 4867, 280, 3082, 32, 2137, 26, 1199, 32, 1031, 1026, 5799, 47, 2700, 27, 284, 5797, 280, 3082, 32, 2137, 26, 1199, 32, 3061, 27, 284, 20240, 280, 3082, 32, 2137, 26, 1199, 32, 652, 26, 36, 34, 471, 5799, 47, 2700, 27, 284, 2547, 81, 770, 280, 3082, 32, 2137, 26, 1199, 32, 652, 26, 39, 35, 36, 471, 5799, 47, 2700, 27, 284, 7581, 280, 3082, 32, 2137, 26, 1199, 32, 1031, 1026, 5799, 47, 2700, 27, 284, 665, 619, 81, 2665, 26, 784, 711, 291, 442, 301, 85, 32, 426, 44, 18623, 26, 784, 30, 281, 32, 426, 27, 436, 281, 328, 630, 3667, 1274, 9818, 6057, 111, 284, 665, 1156, 1664, 3207, 784, 30, 34154, 30, 1984, 30, 2488, 18036, 30, 21032, 30, 1256, 81, 4867, 30, 353, 5797, 30, 20240, 30, 7581, 30, 2547, 81, 770, 47, 2521, 711, 291, 630, 32, 31289, 280, 34154, 291, 630, 32, 965, 280, 1984, 291, 630, 32, 23076, 280, 2488, 18036, 291, 630, 32, 21326, 280, 21032, 291, 630, 32, 496, 81, 4867, 280, 1256, 81, 4867, 291, 630, 32, 6263, 280, 5797, 291, 630, 32, 19765, 280, 20240, 291, 630, 32, 4722, 280, 14208, 26, 4722, 547, 26229, 1147, 346, 291, 415, 2547, 81, 770, 438, 1665, 44, 324, 2547, 81, 770, 280, 596, 26, 6665, 32, 6665, 32, 2174, 1157, 291, 630, 32, 2862, 81, 770, 280, 2547, 81, 770, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 4145, 5716, 904, 100, 6457, 904, 630, 32, 965, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 8, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 9, 8, 9, 8, 9, 9, 9, 8, 2, 2, 4, 4, 6, 7, 6, 9, 8, 9, 8, 6, 7, 8, 6, 2, 2, 5, 4, 4, 6, 7, 6, 9, 8, 9, 8, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 9, 8, 9, 8, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 9, 8, 9, 8, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 9, 8, 9, 8, 9, 9, 8, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 9, 8, 9, 8, 9, 9, 9, 8, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 9, 8, 9, 8, 6, 7, 8, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 9, 8, 9, 7, 7, 9, 10, 9, 9, 10, 11, 9, 6, 7, 7, 7, 9, 10, 10, 9, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 10, 11, 10, 9, 9, 8, 4, 4, 5, 7, 7, 6, 6, 5, 5, 5, 9, 9, 8, 8, 10, 14, 13, 14, 12, 13, 12, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 6, 6, 7, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 3, 3, 0, 3, 3, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 3, 2, 1, 4, 4, 11, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 12, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 11, 11, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 19, 2, 2, 12, 12, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 4, 4, 8, 0, 0, 1, 1, 8, 8, 8, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 13, 1, 1, 1, 2, 13, 13, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 54, 280, 225, 39, 35, 36, 203, 1070, 21283, 1188, 676, 10283, 19517, 203, 1131, 81, 18107, 280, 330, 1382, 27435, 15949, 2473, 2998, 346, 203, 7004, 280, 428, 284, 2726, 69, 370, 2107, 13407, 370, 330, 12453, 16578, 284, 2726, 12453, 370, 2107, 72, 16578, 284, 2726, 13407, 370, 2107, 27844, 370, 330, 64, 16578, 284, 1481, 203, 4068, 280, 301, 284, 330, 64, 950, 330, 1588, 27435, 2473, 2998, 1026, 284, 330, 27844, 950, 330, 83, 322, 2473, 2998, 1026, 284, 330, 72, 950, 330, 19286, 19301, 2473, 2998, 1026, 284, 320, 203, 589, 2266, 81, 1112, 26, 101, 711, 284, 5273, 280, 1665, 284, 436, 341, 328, 8153, 32, 2810, 2262, 291, 436, 341, 105, 328, 341, 44, 324, 281, 280, 309, 32, 4260, 26, 16413, 32, 2208, 26, 951, 490, 324, 415, 5273, 438, 1665, 556, 5273, 46, 85, 44, 400, 5273, 280, 281, 400, 5273, 81, 1112, 280, 341, 105, 284, 330, 1112, 370, 5273, 30, 5273, 81, 1112, 2407, 284, 415, 5273, 848, 225, 34, 32, 41, 44, 291, 442, 5273, 81, 1112, 284, 442, 1665, 203, 589, 2266, 26, 101, 711, 284, 281, 280, 428, 101, 32, 4260, 26, 16413, 32, 2208, 26, 5275, 77, 34, 5259, 436, 5750, 328, 7019, 79, 284, 415, 1769, 26, 85, 11060, 34, 32, 41, 44, 291, 442, 7019, 77, 85, 32, 1055, 26, 1449, 26, 85, 490, 1674, 34, 79, 284, 813, 44, 291, 442, 1665, 203, 589, 1459, 81, 3242, 26, 101, 30, 7713, 47, 34, 711, 284, 816, 280, 2266, 26, 101, 27, 284, 415, 816, 438, 1665, 44, 291, 816, 280, 2266, 81, 1112, 26, 101, 27, 291, 415, 816, 438, 646, 1665, 44, 4288, 1459, 330, 225, 13838, 6299, 29, 106, 291, 442, 284, 1459, 330, 225, 13838, 6299, 29, 1172, 26, 101, 27, 284, 1459, 81, 3242, 26, 101, 28, 16413, 32, 2208, 463, 112, 62, 34970, 106, 471, 7713, 29, 35, 27, 284, 1459, 81, 3242, 26, 101, 28, 16413, 32, 2208, 463, 112, 68, 34970, 106, 471, 7713, 29, 35, 27, 203, 16413, 280, 676, 10283, 19517, 26, 54, 27, 262, 203, 8995, 280, 21283, 32, 2208, 463, 8995, 683, 203, 979, 6215, 30, 3946, 328, 8153, 32, 3028, 2262, 284, 436, 1623, 328, 3946, 44, 291, 7019, 32, 1689, 1162, 3153, 30, 428, 1094, 5259, 203, 1216, 7019, 262, 203, 419, 81, 15848, 280, 21283, 32, 2208, 463, 69, 683, 203, 419, 81, 3242, 280, 1665, 203, 979, 1509, 328, 1509, 81, 18107, 44, 284, 1459, 330, 26801, 1344, 12454, 1509, 284, 1869, 81, 1909, 280, 21283, 32, 2208, 26, 1131, 27, 284, 2218, 2933, 44, 291, 1459, 330, 44535, 436, 7019, 623, 27606, 12483, 21283, 32, 878, 26, 419, 81, 1909, 30, 2305, 81, 16564, 47, 2700, 30, 7091, 81, 998, 47, 35, 27, 291, 415, 1869, 81, 1909, 32, 4260, 26, 419, 81, 15848, 11060, 34, 32, 41, 44, 324, 1459, 330, 6264, 12260, 370, 2266, 26, 419, 81, 15848, 27, 324, 415, 1869, 81, 3242, 438, 1665, 44, 400, 1459, 330, 5087, 25, 400, 1626, 400, 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 ]
[ 3, 2, 2, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 5, 4, 0, 3, 2, 2, 3, 3, 6, 6, 4, 7, 7, 5, 7, 7, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 4, 7, 7, 5, 7, 7, 3, 3, 0, 3, 2, 2, 3, 3, 6, 6, 4, 8, 8, 8, 7, 6, 3, 3, 6, 6, 4, 8, 8, 8, 7, 6, 3, 3, 6, 6, 4, 8, 8, 8, 7, 6, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 5, 6, 5, 5, 5, 5, 5, 8, 8, 10, 11, 10, 13, 12, 13, 12, 13, 12, 6, 6, 7, 9, 9, 8, 8, 9, 10, 7, 7, 7, 10, 10, 8, 8, 11, 11, 10, 10, 11, 2, 2, 5, 5, 3, 3, 3, 4, 4, 2, 2, 2, 3, 4, 4, 5, 5, 5, 3, 3, 3, 5, 6, 6, 2, 2, 3, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 8, 7, 8, 7, 10, 9, 10, 9, 11, 10, 11, 10, 5, 6, 6, 6, 5, 2, 2, 3, 6, 7, 6, 5, 5, 5, 3, 3, 3, 5, 7, 10, 9, 10, 9, 11, 11, 12, 11, 7, 7, 6, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 8, 8, 8, 9, 8, 4, 4, 5, 6, 6, 6, 5, 5, 5, 7, 11, 11, 10, 8, 9, 4, 4, 2, 2, 3, 7, 7, 6, 4, 6, 6, 7, 6, 2, 2, 5, 5, 5, 7, 6, 9, 8, 9, 8, 11, 11, 11, 10, 8, 5, 6, 7, 5, 2, 2, 5, 5, 5, 7, 6, 9, 8, 9, 8, 11, 11, 11, 10, 8, 5, 6, 7, 5, 0, 3, 2, 2, 4, 4, 4, 5, 4, 0, 0, 3, 2, 2, 4, 5, 4, 6, 6, 0, 1, 1, 2, 2, 1, 1, 3, 4, 3, 1, 1, 3, 3, 3, 3, 3, 3, 7, 8, 7, 9, 8, 8, 10, 9, 0, 1, 1, 0, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 0, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 5, 5, 5, 3, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 6, 2, 2, 3, 3, 3, 3, 5, 7, 7, 7, 7, 7, 7, 5, 7, 8, 7, 8, 8, 8, 7, 7, 9, 9, 8, 9, 7, 7, 9, 9, 8, 9, 7, 4, 4, 5, 9, 9, 8, 9, 8, 9, 9, 9, 8, 7, 7, 7, 5, 5, 5, 7, 9, 9, 9, 7, 9, 10, 10, 10, 9, 6, 6, 7, 9, 9, 8, 8, 7, 7, 7, 9, 11, 11, 8, 8, 8, 8 ]
[ 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 3, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 2, 3, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 3, 1, 1, 2, 2, 1, 2, 2, 1, 2, 5, 1, 1, 2, 2, 1, 2, 2, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 4, 4, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 5, 5, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 3, 3, 0, 0, 0, 0, 2, 4, 4, 1, 2, 2, 2, 2, 4, 4, 4, 4, 4, 3, 1, 1, 2, 2, 2, 3, 3, 3, 0, 1, 1, 4, 4, 4, 0, 6, 6, 2, 1, 2, 6, 6, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 4, 4, 4, 0, 0, 7, 7, 1, 1, 2, 1, 2, 2, 3, 2, 2, 7, 7, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 3, 3, 4, 4, 2, 1, 1, 2, 1, 0, 1, 1, 1, 4, 4, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 10, 10, 1, 1, 10, 10, 0, 2, 1, 10, 10, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 14, 14, 14, 14, 3, 3, 14, 14, 14, 0, 1, 1, 1, 0, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 0, 0, 5, 2, 1, 3, 3, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 3, 3, 3, 3 ]
[ 465, 5741, 203, 465, 16539, 203, 465, 7060, 203, 1070, 17656, 270, 32, 5240, 32, 3675, 1188, 16990, 30, 6700, 3180, 30, 2854, 3180, 30, 8174, 3180, 203, 1070, 17656, 270, 32, 5240, 32, 3675, 1188, 20585, 3180, 30, 9145, 1527, 7086, 3180, 203, 1070, 17656, 270, 32, 4470, 32, 1761, 1006, 2459, 1188, 47265, 2459, 30, 2108, 2459, 924, 203, 823, 2108, 44031, 26, 1761, 1006, 2459, 711, 284, 5296, 3965, 280, 6700, 3180, 26, 39526, 47, 1815, 27, 284, 298, 954, 81, 1262, 3965, 280, 6700, 3180, 26, 39526, 47, 1815, 27, 284, 310, 1316, 280, 16990, 26, 39526, 47, 1815, 27, 284, 10362, 81, 40175, 280, 16990, 26, 39526, 47, 1815, 27, 284, 665, 2179, 81, 2501, 26, 784, 711, 291, 894, 37060, 81, 1132, 280, 3037, 858, 37060, 392, 400, 4825, 85, 392, 630, 32, 2132, 32, 1262, 3965, 30, 400, 4825, 96, 392, 313, 38, 392, 7915, 4817, 31, 1835, 392, 313, 35, 34, 36, 38, 30, 34, 1446, 291, 436, 33145, 328, 630, 32, 2132, 32, 96, 1316, 44, 324, 894, 37060, 81, 1132, 32, 8233, 14141, 31, 105, 392, 33145, 1130, 291, 894, 37060, 81, 1132, 32, 8233, 14141, 287, 392, 4825, 91, 392, 7915, 7543, 31, 2816, 392, 313, 4229, 392, 6035, 7915, 1262, 3965, 392, 630, 32, 2132, 32, 37060, 81, 1262, 3965, 1130, 291, 436, 595, 30, 6424, 328, 10703, 26, 784, 32, 2132, 32, 10356, 81, 40175, 711, 324, 894, 37060, 81, 1132, 32, 8233, 14141, 287, 9968, 31, 10356, 392, 313, 6807, 40637, 1643, 26, 91, 30, 6424, 14829, 291, 442, 313, 4939, 2524, 26, 858, 37060, 81, 1132, 27, 284, 665, 1420, 26, 784, 711, 291, 4774, 280, 630, 32, 1643, 81, 2501, 346, 291, 5741, 32, 2811, 440, 9514, 2016, 4034, 2537, 1492, 619, 16539, 2296, 1643, 26, 3515, 490, 291, 2164, 280, 16539, 32, 45606, 26, 3515, 30, 9073, 47, 1815, 30, 9111, 24621, 47, 27958, 32, 18165, 30, 9111, 12532, 47, 27958, 32, 18165, 30, 9111, 16154, 47, 27958, 32, 18165, 30, 9111, 4230, 81, 30756, 47, 1815, 27, 291, 2164, 32, 21633, 32, 1821, 26, 466, 32, 4434, 440, 1366, 6486, 81, 2232, 78, 96, 2131, 291, 2164, 32, 21633, 32, 9321, 346, 291, 630, 32, 1684, 81, 979, 81, 15346, 346, 291, 2164, 32, 21633, 32, 1821, 26, 466, 32, 4434, 440, 4048, 78, 96, 2131, 291, 2164, 32, 21633, 32, 9321, 346, 291, 2164, 32, 21633, 32, 1821, 26, 466, 32, 4434, 440, 16997, 78, 96, 2131, 291, 2164, 32, 21633, 32, 9321, 346, 291, 963, 30, 1137, 280, 2164, 32, 508, 48275, 346, 291, 630, 1114, 575, 81, 605, 280, 3447, 9362, 563, 963, 30, 313, 8228, 563, 1137, 111, 291, 442, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 5, 4, 4, 6, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 8, 7, 8, 6, 2, 2, 5, 4, 4, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 8, 7, 8, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 9, 9, 9, 7, 7, 9, 9, 7, 9, 10, 8, 9, 9, 7, 7, 7, 9, 9, 7, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 5, 5, 5, 7, 8, 6, 7, 7, 5, 5, 5, 10, 10, 10, 9, 10, 9, 12, 12, 12, 10, 10, 4, 4, 8, 8, 8, 7, 8, 7, 10, 10, 8, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 8, 8, 10, 10, 10, 8, 10, 11, 9, 10, 10, 10, 10, 8, 4, 4, 5, 6, 6, 5, 5, 7, 10, 9, 10, 8, 9, 9, 9, 7, 5, 5, 10, 10, 10, 9, 10, 9, 12, 12, 12, 12, 12, 10, 14, 14, 13, 12, 13, 12, 12, 12, 4, 4, 5, 9, 8, 7, 8, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 11, 11, 11, 11, 12, 11, 11, 11, 10, 9, 10, 9, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 9, 10, 8, 8, 8, 9, 11, 10, 11, 8, 8, 8, 9, 11, 10, 11, 8, 8, 8, 9, 11, 10, 11, 8, 8, 8, 10, 10, 9, 10, 8, 4, 4, 8, 9, 7, 8, 7, 10, 9, 10, 9, 11, 11, 11, 11, 12, 12, 11, 4, 4, 8, 9, 7, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 8, 9, 7, 8, 7, 10, 9, 10, 9, 11, 12, 12, 11, 4, 4, 8, 9, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 10, 9, 10, 9, 11, 12, 12, 11, 4, 4, 8, 9, 7, 8, 7, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 10, 10, 8, 7, 7, 10, 10, 8, 7, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 4, 4, 5, 5, 0, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 5, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 0, 2, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 11, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 3, 3, 1, 0, 0, 2, 1, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 4, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 5, 2, 1, 2, 5, 5, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 5, 0, 2, 2, 1, 1, 1, 7, 0, 2, 2, 1, 1, 1, 9, 0, 2, 2, 1, 1, 1, 0, 0, 11, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 3, 2, 4, 4, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 109, 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, 71, 774, 2083, 5161, 92, 20, 10305, 35673, 32976, 441, 2209, 13905, 1691, 7214, 22276, 405, 2364, 17574, 313, 38051, 35, 38000, 2174, 812, 282, 37562, 6945, 2296, 489, 1075, 24887, 307, 108, 1044, 774, 2083, 5161, 7684, 26242, 1770, 311, 6010, 7684, 341, 841, 1546, 12670, 1288, 13039, 12454, 203, 21735, 75, 9299, 95, 9299, 86, 950, 6611, 75, 9299, 95, 9299, 86, 370, 203, 21735, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 950, 6611, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 370, 203, 21735, 101, 5760, 8128, 950, 330, 23087, 483, 6637, 1770, 13394, 6752, 618, 380, 44, 904, 101, 370, 203, 21735, 101, 5760, 4459, 950, 330, 23087, 483, 6637, 1044, 774, 2083, 96, 285, 25068, 44, 904, 101, 370, 203, 25, 43, 35, 35, 16734, 308, 1851, 102, 5190, 27, 950, 330, 43, 35, 35, 16734, 308, 1851, 102, 5190, 7243, 203, 25, 1711, 30, 4576, 30, 5774, 32, 950, 330, 1711, 30, 4576, 30, 5774, 6418, 203, 25, 11045, 18969, 47036, 1423, 950, 330, 11045, 18969, 47036, 1423, 370, 203, 25, 3421, 4738, 318, 3586, 455, 950, 330, 3421, 4738, 318, 3586, 455, 370, 203, 25, 3421, 4738, 318, 32144, 950, 330, 3421, 4738, 318, 32144, 370, 203, 25, 3421, 32114, 821, 950, 330, 3421, 32114, 821, 370, 203, 25, 8161, 950, 330, 33298, 2487, 6637, 10597, 5161, 41345, 370, 203, 25, 8589, 22026, 461, 10343, 950, 330, 54, 649, 40977, 941, 323, 5511, 30674, 595, 4878, 13520, 370, 203, 25, 15585, 15270, 636, 950, 330, 15585, 15270, 636, 370, 203, 25, 11394, 526, 3502, 950, 330, 64, 1075, 24887, 87, 46592, 298, 675, 87, 370, 203, 25, 1791, 12572, 950, 330, 24727, 1075, 19456, 1401, 43360, 370, 203, 25, 2140, 372, 3066, 950, 330, 76, 1373, 96, 31919, 26712, 1770, 311, 6010, 7684, 370, 203, 25, 2140, 372, 3066, 44, 950, 330, 76, 1373, 96, 31919, 26712, 1770, 311, 6010, 7684, 12454, 203, 25, 1486, 4600, 950, 330, 2027, 36941, 83, 370, 203, 25, 12504, 950, 330, 12504, 370, 203, 25, 7371, 322, 2234, 950, 330, 7371, 322, 2234, 370, 203, 25, 31581, 950, 330, 31581, 370, 203, 25, 5870, 950, 330, 5870, 370, 203, 25, 1917, 950, 330, 45177, 290, 1180, 370, 203, 25, 10581, 950, 330, 10581, 370, 203, 25, 6873, 810, 950, 330, 6873, 810, 370, 203, 25, 3059, 1326, 950, 330, 20844, 2083, 941, 31600, 46320, 13732, 370, 203, 25, 3059, 1789, 950, 330, 20844, 2083, 3258, 337, 5974, 441, 4833, 29181, 370, 203, 25, 3059, 3523, 950, 330, 20844, 2083, 3258, 43449, 4595, 370, 203, 25, 1996, 3678, 950, 330, 1243, 323, 5511, 30674, 370, 203, 25, 3954, 950, 330, 52, 27755, 30674, 370, 203, 25, 8211, 950, 330, 8211, 370, 203, 25, 8211, 328, 6791, 308, 38661, 27, 950, 330, 8211, 328, 6791, 308, 38661, 7243, 203, 25, 3410, 44, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 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, 6, 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, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 2, 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, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 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, 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, 2, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 2, 5, 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, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 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, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 5, 5, 3, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5 ]
[ 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, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 3, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 13, 13, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 15, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 17, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 19, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 21, 1, 1, 1, 1, 1, 1, 1, 1, 2, 23, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 25, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 27, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 29, 29, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 31, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 33, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 35, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 53, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 55, 55, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 57, 0, 1, 1, 1, 2, 0, 1, 2, 59, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 65, 1, 1, 1, 1, 1, 1, 1 ]
[ 505, 2116, 505, 280, 330, 54, 1813, 742, 25, 203, 823, 12186, 44, 284, 665, 1847, 1215, 4934, 26, 784, 30, 5102, 711, 291, 415, 646, 5102, 44, 324, 442, 225, 34, 291, 2698, 81, 7858, 280, 2069, 26, 3365, 27, 291, 932, 81, 7858, 280, 2069, 26, 3365, 77, 34, 1130, 291, 11339, 280, 3813, 35, 3571, 37, 35, 436, 617, 328, 35198, 26, 748, 81, 7858, 2177, 436, 617, 328, 35198, 26, 643, 81, 7858, 2177, 291, 436, 595, 328, 35198, 26, 643, 81, 7858, 711, 324, 436, 594, 328, 35198, 26, 748, 81, 7858, 711, 400, 415, 595, 379, 34, 461, 594, 379, 34, 44, 528, 11339, 77, 91, 1674, 92, 79, 280, 5102, 77, 91, 1674, 92, 79, 400, 4348, 595, 379, 34, 44, 528, 11339, 77, 91, 1674, 92, 79, 280, 11339, 77, 91, 1674, 92, 31, 35, 6155, 3365, 77, 91, 1674, 92, 79, 400, 4348, 594, 379, 34, 44, 528, 11339, 77, 91, 1674, 92, 79, 280, 11339, 77, 91, 31, 35, 1674, 92, 6155, 3365, 77, 91, 1674, 92, 79, 400, 813, 44, 528, 11339, 77, 91, 1674, 92, 79, 280, 1847, 26, 5974, 77, 91, 31, 35, 1674, 92, 614, 11339, 77, 91, 1674, 92, 31, 35, 46976, 3365, 77, 91, 1674, 92, 79, 16189, 442, 11339, 77, 643, 81, 7858, 31, 35, 1674, 748, 81, 7858, 31, 35, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 1, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 5, 5, 5, 7, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 10, 9, 10, 9, 4, 4, 6, 6, 10, 9, 10, 10, 8, 9, 9, 9, 11, 12, 12, 12, 11, 7, 8, 8, 8, 10, 11, 11, 11, 10, 4, 4, 5, 5, 5, 7, 8, 8, 8, 7, 5, 5, 7, 7, 7, 9, 10, 10, 10, 9, 7, 7, 9, 11, 12, 10, 10, 11, 12, 9, 9, 9, 14, 15, 14, 14, 13, 12, 12, 14, 15, 14, 14, 13, 9, 9, 10, 11, 12, 10, 10, 10, 15, 16, 15, 15, 14, 13, 13, 16, 17, 16, 17, 16, 17, 15, 17, 16, 17, 16, 16, 15, 9, 9, 10, 11, 12, 10, 10, 10, 15, 16, 15, 15, 14, 13, 13, 16, 18, 17, 18, 16, 16, 15, 17, 16, 17, 16, 16, 15, 9, 9, 10, 10, 10, 15, 16, 15, 15, 14, 13, 13, 16, 19, 18, 20, 19, 20, 18, 18, 17, 16, 18, 19, 18, 19, 18, 19, 17, 17, 16, 17, 16, 16, 15, 4, 4, 5, 7, 9, 9, 9, 8, 9, 7, 8, 8, 8, 7, 8, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 4, 1, 2, 4, 4, 4, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 5, 1, 2, 5, 5, 5, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 6, 6, 6, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 3, 0, 0, 2, 0, 2, 2, 4, 4, 5, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 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, 13714, 81, 1163, 203, 1648, 81, 11043, 44, 313, 36, 32, 35, 20, 203, 2116, 44, 313, 66, 14295, 10892, 12693, 4223, 11931, 2055, 639, 4731, 203, 4021, 81, 2310, 44, 31580, 3927, 7934, 3488, 1471, 10070, 203, 2310, 44, 334, 429, 3927, 7934, 18353, 793, 312, 4281, 2163, 10525, 803, 8345, 284, 436, 8430, 299, 3488, 1991, 15521, 32, 225, 1348, 2297, 7367, 284, 600, 4736, 436, 4740, 623, 13714, 3488, 15521, 328, 284, 312, 17283, 3352, 32, 203, 9971, 81, 10270, 81, 9854, 44, 2156, 4640, 203, 2184, 44, 334, 5430, 44, 284, 3048, 44, 397, 429, 886, 17128, 739, 432, 6350, 688, 1395, 526, 9577, 328, 322, 291, 4169, 32, 225, 886, 6350, 2298, 526, 322, 7153, 2432, 6350, 619, 2431, 291, 328, 322, 3298, 3974, 31, 1163, 32, 225, 4261, 3654, 372, 5997, 322, 3488, 291, 2016, 8345, 619, 1629, 6350, 884, 6924, 8844, 810, 322, 291, 3298, 1359, 4118, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 20861, 44, 284, 3048, 44, 397, 429, 886, 17128, 739, 432, 20861, 688, 43699, 12411, 322, 4169, 291, 322, 6350, 1395, 526, 8137, 8187, 32, 225, 1670, 322, 20861, 2793, 291, 438, 24143, 30, 322, 6350, 884, 8137, 8187, 322, 739, 432, 2663, 291, 3193, 556, 3649, 6350, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 1561, 44, 284, 3048, 44, 397, 429, 886, 439, 26, 1617, 27, 2793, 7367, 312, 1519, 372, 322, 3488, 803, 291, 372, 2454, 1991, 322, 6562, 2664, 32, 225, 886, 1519, 883, 3154, 526, 312, 3536, 291, 2664, 1519, 372, 322, 3488, 803, 415, 322, 786, 11187, 623, 517, 291, 556, 6491, 372, 322, 3051, 432, 322, 7586, 4203, 556, 4654, 2609, 32, 291, 1348, 2793, 438, 4031, 3405, 27765, 623, 322, 439, 26, 4446, 27, 461, 291, 439, 26, 19277, 27, 4209, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 284, 1503, 81, 11043, 44, 313, 36, 32, 36, 20, 334, 2670, 44, 284, 3048, 44, 397, 429, 886, 17128, 739, 432, 6350, 372, 5840, 544, 372, 322, 2016, 4138, 415, 291, 312, 1539, 5652, 372, 526, 5590, 32, 225, 1348, 6972, 322, 4654, 2609, 26950, 291, 322, 30824, 372, 4436, 3488, 6350, 9553, 372, 35897, 291, 1346, 3404, 2876, 13328, 299, 2624, 322, 739, 432, 6350, 884, 14995, 291, 8187, 322, 2664, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 2685, 44, 284, 3048, 44, 397, 429, 886, 17128, 739, 432, 6350, 372, 5489, 372, 322, 943, 432, 322, 2016, 291, 4138, 415, 312, 1539, 5652, 372, 526, 5590, 32, 225, 9077, 2124, 623, 439, 26, 5553, 27, 458, 291, 6972, 322, 4654, 2609, 26950, 372, 5489, 312, 739, 432, 6350, 372, 526, 291, 10768, 2685, 322, 2016, 739, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 2530, 44, 284, 3048, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1216, 4064, 1427, 8223, 203, 465, 6436, 619, 2065, 203, 465, 12500, 32, 17449, 619, 5743, 203, 1070, 12500, 1188, 14364, 203, 1070, 13134, 32, 15183, 1188, 1930, 81, 33948, 203, 1070, 13134, 32, 3258, 661, 81, 26552, 307, 1188, 29354, 15502, 203, 1070, 13134, 32, 7982, 1188, 323, 8837, 81, 5020, 81, 5410, 203, 1070, 13134, 32, 38758, 1188, 6403, 11710, 733, 15401, 8155, 203, 1070, 13134, 32, 10495, 81, 6460, 1188, 5683, 81, 858, 81, 2998, 203, 96, 81, 7088, 280, 225, 39, 34, 34, 34, 34, 203, 96, 81, 17915, 280, 225, 37, 261, 203, 40868, 280, 428, 3736, 39, 30, 429, 39, 471, 308, 34, 30, 225, 34, 471, 308, 39, 30, 225, 39, 2177, 203, 74, 30, 533, 280, 1930, 81, 33948, 26, 96, 81, 7088, 47, 96, 81, 7088, 30, 310, 81, 5905, 47, 36, 30, 4904, 81, 1530, 47, 35, 32, 34, 30, 1750, 40962, 47, 40868, 30, 20564, 47, 2700, 30, 3995, 81, 1293, 47, 38, 36, 27, 203, 107, 2867, 96, 81, 7088, 434, 225, 36, 79, 280, 225, 34, 203, 107, 77, 96, 81, 7088, 434, 225, 36, 10056, 280, 225, 35, 203, 3287, 81, 3292, 280, 2065, 32, 3855, 32, 6096, 1078, 26, 38, 36, 547, 6386, 26, 107, 32, 3229, 77, 34, 1130, 203, 74, 81, 3239, 30, 1593, 81, 858, 30, 533, 81, 3239, 30, 533, 81, 858, 30, 2535, 81, 3239, 30, 2535, 81, 858, 280, 766, 284, 5683, 81, 858, 81, 2998, 26, 74, 30, 533, 30, 3964, 81, 3292, 30, 894, 81, 891, 47, 34, 32, 43, 30, 3995, 81, 1293, 47, 38, 36, 27, 203, 25371, 280, 29354, 15502, 346, 203, 25371, 32, 4698, 26, 74, 81, 3239, 30, 533, 81, 3239, 27, 261, 203, 7151, 81, 966, 81, 25371, 280, 38498, 32, 9356, 81, 43713, 26, 74, 81, 858, 27, 6894, 225, 35, 79, 203, 25371, 81, 297, 40587, 280, 6403, 11710, 733, 15401, 8155, 26, 25371, 30, 6677, 47, 36, 30, 1411, 1057, 297, 40587, 683, 203, 25371, 81, 297, 40587, 32, 4698, 26, 74, 81, 3239, 30, 533, 81, 3239, 30, 2535, 81, 3239, 27, 203, 7151, 81, 966, 81, 297, 40587, 280, 38498, 81, 297, 40587, 32, 9356, 81, 43713, 26, 74, 81, 858, 27, 6894, 225, 35, 79, 203, 25371, 81, 35237, 280, 6403, 11710, 733, 15401, 8155, 26, 25371, 30, 6677, 47, 36, 30, 1411, 1057, 35237, 683, 203, 25371, 81, 35237, 32, 4698, 26, 74, 81, 3239, 30, 533, 81, 3239, 30, 2535, 81, 3239, 27, 203, 7151, 81, 966, 81, 35237, 280, 38498, 81, 35237, 32, 9356, 81, 43713, 26, 74, 81, 858, 27, 6894, 225, 35, 79, 203, 1216, 440, 52, 8837, 15932, 44, 308, 1382, 14763, 322, 6085, 14451, 203, 25371, 81, 5020, 280, 323, 8837, 81, 5020, 81, 5410, 26, 107, 81, 858, 30, 2379, 81, 966, 81, 25371, 30, 2535, 81, 858, 27, 203, 1216, 440, 2023, 30846, 44, 904, 35, 32, 37, 88, 20, 904, 38498, 81, 5020, 27, 203, 25371, 81, 297, 40587, 81, 5020, 280, 323, 8837, 81, 5020, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 4, 4, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 0, 0, 3, 2, 2, 4, 6, 4, 4, 6, 4, 3, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 0, 4, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 5, 6, 6, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 6, 4, 0, 4, 3, 6, 6, 6, 5, 5, 6, 3, 2, 2, 3, 0, 4, 3, 6, 6, 6, 5, 5, 6, 4, 2, 2, 3, 0, 3, 3, 3, 2, 2, 7, 8, 6, 7, 7, 6, 7, 7, 6, 5, 4, 7, 6, 7, 5, 6, 5, 0, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 2, 2, 3, 2, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 6, 6, 5, 6, 6, 4, 0, 3, 2, 2, 4, 4, 0, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 6, 6, 5, 6, 6, 6, 5, 3, 3, 4, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 7, 7, 7, 0, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 6, 6, 6, 5, 6, 6, 6, 5, 6, 6, 6, 5, 3, 3, 4, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 7, 7, 0, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 0, 3, 3, 3, 3, 3, 2, 2, 6, 6, 5, 6, 6, 6, 5, 6, 6, 6, 5, 3, 3, 4, 3, 0, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 0, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4 ]
[ 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 5, 5, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 0, 0, 8, 8, 1, 2, 2, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 2, 1, 5, 5, 3, 5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 1, 7, 2, 1, 1, 9, 2, 1, 1, 0, 0, 11, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 6, 6, 0, 0, 8, 8, 0, 0, 10, 10, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 0, 0, 9, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 4, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 203, 1070, 32714, 107, 32, 47219, 10511, 22997, 32, 7344, 1188, 18115, 11063, 30, 11985, 9096, 11063, 203, 1070, 32714, 107, 32, 419, 20390, 1188, 5022, 1391, 203, 1070, 32714, 107, 32, 11452, 1188, 20419, 1104, 203, 1070, 32714, 107, 32, 525, 1188, 4448, 30, 5170, 30, 13030, 1397, 203, 1070, 32714, 107, 32, 2304, 32, 858, 1188, 622, 81, 33439, 203, 823, 18115, 11063, 1006, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 33439, 280, 622, 81, 33439, 26, 44907, 27, 291, 630, 32, 35585, 280, 630, 32, 33439, 1114, 1297, 81, 35585, 463, 3986, 683, 291, 630, 32, 18538, 280, 18115, 11063, 32, 1070, 81, 33439, 26, 784, 32, 33439, 27, 284, 665, 894, 81, 9786, 81, 13768, 26, 784, 711, 291, 3616, 280, 4448, 463, 525, 555, 83, 32, 508, 683, 291, 17707, 280, 5170, 463, 525, 555, 83, 32, 508, 370, 4826, 12516, 2924, 950, 330, 525, 555, 83, 32, 508, 33, 7344, 318, 8885, 2287, 47, 37, 34, 35, 27, 291, 3616, 36, 280, 630, 32, 18538, 32, 2416, 81, 1986, 26, 2403, 30, 17707, 30, 630, 32, 35585, 27, 291, 1201, 3616, 36, 32, 9786, 848, 3616, 32, 9786, 284, 665, 894, 81, 7344, 81, 37, 34, 35, 26, 784, 711, 291, 665, 617, 858, 26, 1959, 711, 324, 1984, 280, 330, 525, 555, 1499, 32, 2763, 32, 508, 33, 37, 34, 35, 25, 324, 1984, 36, 280, 330, 525, 555, 1499, 32, 2763, 32, 508, 33, 7344, 318, 25, 324, 3616, 280, 4448, 26, 965, 30, 1411, 47, 1959, 27, 324, 17707, 280, 5170, 26, 965, 30, 4826, 12516, 2924, 950, 1984, 36, 835, 2287, 47, 37, 34, 35, 27, 324, 3616, 36, 280, 630, 32, 18538, 32, 2416, 81, 1986, 26, 2403, 30, 17707, 30, 630, 32, 35585, 27, 324, 1201, 6937, 26, 2403, 36, 30, 4448, 27, 324, 630, 32, 5299, 26, 2403, 36, 32, 965, 30, 1984, 36, 27, 324, 630, 32, 5299, 26, 2403, 36, 32, 1959, 30, 1411, 27, 324, 3555, 17707, 32, 5078, 710, 2924, 785, 324, 1201, 630, 32, 18538, 32, 2416, 81, 1986, 26, 2403, 30, 17707, 30, 630, 32, 35585, 27, 438, 17707, 291, 617, 858, 463, 2788, 683, 291, 617, 858, 463, 3705, 683, 291, 617, 858, 463, 6896, 683, 284, 665, 894, 81, 32607, 81, 7344, 26, 784, 711, 291, 1984, 280, 330, 525, 555, 1499, 32, 2763, 32, 508, 33, 37, 34, 35, 25, 291, 1984, 36, 280, 330, 525, 555, 1499, 32, 2763, 32, 508, 33, 7344, 318, 25, 291, 3616, 280, 4448, 26, 965, 30, 6089, 12516, 32607, 81, 7344, 950, 2933, 1748, 291, 17707, 280, 5170, 26, 965, 30, 4826, 12516, 2924, 950, 1984, 36, 835, 2287, 47, 37, 34, 35, 27, 291, 540, 280, 630, 32, 18538, 32, 2416, 81, 1986, 26, 2403, 30, 17707, 30, 630, 32, 35585, 27, 291, 1201, 6937, 26, 100, 30, 5170, 27, 291, 1201, 540, 438, 17707, 291, 3616, 280, 4448, 26, 965, 30, 6089, 12516, 32607, 81, 7344, 950, 3177, 1748, 291, 17707, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 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, 6, 6, 8, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 10, 10, 4, 4, 7, 8, 6, 6, 9, 8, 9, 9, 9, 8, 10, 9, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 10, 10, 10, 10, 10, 10, 8, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 8, 9, 10, 10, 10, 8, 4, 4, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 8, 8, 8, 8, 9, 10, 8, 4, 4, 5, 8, 7, 8, 6, 6, 7, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 7, 6, 5, 5, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 8, 8, 10, 11, 10, 10, 11, 12, 10, 6, 6, 8, 8, 10, 11, 10, 10, 11, 15, 15, 13, 14, 12, 10, 11, 12, 12, 12, 10, 6, 6, 9, 8, 8, 11, 12, 10, 11, 11, 11, 10, 11, 10, 10, 10, 10, 11, 12, 10, 6, 6, 7, 9, 10, 10, 9, 9, 9, 6, 6, 9, 10, 9, 11, 11, 10, 11, 9, 9, 10, 9, 6, 6, 9, 10, 9, 11, 11, 10, 11, 9, 9, 9, 6, 6, 7, 9, 10, 8, 10, 10, 6, 6, 7, 11, 12, 10, 11, 11, 11, 10, 11, 10, 10, 10, 10, 11, 12, 10, 8, 8, 4, 4, 7, 7, 9, 9, 4, 4, 7, 7, 9, 9, 4, 4, 7, 7, 9, 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, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 8, 9, 8, 8, 9, 13, 13, 13, 13, 11, 10, 4, 4, 6, 6, 8, 9, 8, 8, 9, 13, 13, 11, 12, 10, 8, 9, 10, 10, 10, 8, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 8, 8, 8, 8, 9, 10, 8, 4, 4, 5, 7, 8, 7, 7, 7, 4, 4, 5, 6, 6, 4, 4, 6, 6, 8, 9, 8, 8, 9, 13, 13, 13, 13, 11, 10, 4, 4, 6 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 4, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 4, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 1, 1, 2, 0, 1, 2, 2, 6, 6, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 2, 1, 4, 4, 3, 0, 0, 2, 1, 1, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 3, 1, 2, 1, 2, 2, 1, 5, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 2, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 1, 2, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 4, 4, 8, 0, 2, 1, 1, 2, 4, 4, 9, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 2, 1, 1, 1, 4, 4, 0, 1, 1, 2, 4, 4, 0, 1, 1, 2, 4, 4, 0, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 3, 1, 2, 1, 2, 2, 1, 5, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 2, 1, 4, 4, 5, 1, 1, 1, 1, 1, 4, 4, 6, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 2, 4, 4, 0 ]
[ 505, 2116, 505, 280, 330, 63, 29569, 1309, 3936, 559, 930, 268, 1662, 25, 203, 505, 770, 505, 280, 330, 35612, 225, 36, 34, 35, 40, 25, 203, 505, 11794, 505, 280, 15584, 53, 27, 225, 36, 34, 35, 40, 30, 488, 29569, 1309, 3936, 559, 930, 268, 1662, 25, 203, 589, 2164, 2019, 26, 19011, 30, 3377, 30, 1619, 30, 10998, 711, 284, 588, 354, 32, 266, 4078, 32, 7621, 32, 1689, 463, 89, 32, 11030, 429, 85, 15376, 89, 47, 38, 37, 36, 40, 683, 284, 588, 10680, 311, 4078, 32, 2416, 2019, 26, 5138, 30, 1619, 30, 10998, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 2, 2, 2, 2, 3, 3, 3, 3, 3, 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, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 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, 0, 1, 1, 1, 2, 1, 3, 3, 5, 5, 7, 7, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 35094, 1188, 1974, 81, 5098, 203, 1070, 638, 8774, 1188, 617, 4045, 4716, 959, 30, 617, 7986, 81, 1070, 81, 1071, 81, 1298, 203, 823, 34705, 6435, 1078, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 47051, 30, 1123, 30, 2075, 30, 1932, 81, 15265, 711, 291, 630, 32, 725, 280, 1123, 291, 630, 32, 27336, 280, 47051, 291, 630, 32, 2184, 280, 2075, 291, 630, 32, 2232, 81, 15265, 280, 1932, 81, 15265, 291, 40525, 280, 630, 32, 2184, 32, 371, 463, 46716, 683, 291, 415, 40525, 438, 1665, 44, 324, 40525, 280, 630, 32, 27336, 32, 46716, 291, 630, 32, 46716, 280, 40525, 291, 1984, 81, 4254, 280, 630, 32, 2184, 32, 371, 463, 965, 81, 4254, 683, 291, 415, 1984, 81, 4254, 438, 1665, 44, 324, 1984, 81, 4254, 280, 630, 32, 27336, 32, 965, 81, 4254, 291, 630, 32, 965, 81, 4254, 280, 1984, 81, 4254, 291, 630, 32, 965, 81, 10514, 280, 5436, 26, 784, 32, 27336, 32, 965, 81, 2810, 81, 10514, 27, 291, 630, 32, 965, 81, 10514, 32, 1877, 26, 784, 32, 2184, 32, 371, 463, 965, 81, 10514, 370, 308, 2610, 284, 665, 1015, 81, 965, 81, 5275, 26, 784, 30, 5750, 30, 6998, 47, 2521, 30, 2202, 81, 1298, 47, 2521, 30, 1115, 2184, 711, 291, 415, 630, 32, 965, 81, 4254, 44, 324, 5750, 280, 630, 32, 965, 81, 4254, 474, 5750, 291, 2075, 32, 37329, 463, 46716, 370, 630, 32, 46716, 27, 291, 415, 6998, 438, 1665, 44, 324, 6998, 280, 617, 7986, 81, 1070, 81, 1071, 81, 1298, 26, 1071, 81, 1298, 27, 291, 10071, 280, 630, 32, 965, 81, 10514, 291, 415, 330, 10514, 25, 328, 2075, 44, 324, 10071, 280, 5436, 26, 10514, 30, 1115, 2184, 32, 3235, 463, 10514, 2847, 291, 630, 32, 725, 32, 669, 81, 965, 81, 5275, 26, 5275, 30, 6611, 101, 15231, 101, 25, 904, 308, 784, 32, 27336, 32, 426, 30, 6998, 471, 4985, 2202, 81, 1298, 30, 10071, 47, 10514, 30, 1115, 2184, 27, 203, 823, 34705, 2176, 4045, 4716, 959, 711, 284, 17161, 81, 267, 81, 1803, 5818, 280, 3177, 284, 617, 9294, 81, 17360, 81, 8232, 280, 3177, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 1188, 81, 426, 30, 907, 81, 6175, 47, 2521, 30, 353, 907, 81, 965, 81, 983, 47, 2521, 30, 3079, 81, 6175, 47, 2521, 30, 353, 1984, 81, 4254, 47, 2521, 30, 40525, 47, 2521, 30, 1984, 81, 10514, 47, 2521, 30, 353, 3051, 81, 983, 47, 2521, 711, 291, 617, 4045, 4716, 959, 3667, 1664, 3207, 784, 30, 1188, 81, 426, 30, 3079, 81, 6175, 30, 9474, 3051, 81, 983, 47, 2388, 81, 983, 27, 291, 630, 32, 426, 280, 636, 291, 630, 32, 965, 81, 4254, 280, 1984, 81, 4254, 291, 630, 32, 46716, 280, 40525, 291, 630, 32, 1574, 81, 6175, 280, 907, 81, 6175, 291, 630, 32, 1574, 81, 965, 81, 983, 280, 907, 81, 965, 81, 983, 291, 630, 32, 30594, 81, 8239, 280, 1605, 291, 415, 1984, 81, 10514, 438, 1665, 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, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 10, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 10, 11, 9, 10, 4, 4, 7, 8, 6, 6, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 7, 7, 6, 6, 5, 5, 5, 9, 9, 8, 8, 10, 11, 9, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 11, 10, 11, 9, 10, 10, 10, 10, 10, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 11, 11, 11, 11, 9, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 8, 8, 10, 11, 11, 11, 9, 9, 4, 4, 7, 8, 7, 9, 9, 7, 8, 9, 7, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 10, 4, 4, 6, 6, 7, 8, 8, 8, 4, 4, 5, 8, 8, 6, 6, 5, 5, 5, 8, 8, 10, 11, 10, 10, 14, 13, 14, 13, 15, 15, 4, 4, 8, 9, 7, 8, 8, 8, 8, 8, 7, 8, 7, 7, 10, 10, 10, 10, 8, 8, 12, 11, 12, 10, 11, 9, 9, 9, 7, 7, 8, 8, 7, 7, 8, 9, 7, 7, 9, 7, 0, 1, 1, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 5, 7, 7, 6, 6, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 2, 4, 4, 5, 1, 1, 5, 5, 5, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 8, 0, 0, 1, 1, 8, 8, 8, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 3, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 4, 1, 2, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 5, 5, 1, 1, 7, 2, 1, 1, 1, 1, 0, 3, 3, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 0, 0, 7, 2, 2, 2, 2, 0, 0, 0, 0, 9, 2, 2, 2, 0, 0, 11, 2, 2, 2, 2, 0, 0, 13, 2, 2, 2, 15, 2, 2, 2, 0, 0, 17, 2, 2, 2, 2, 0, 0, 19, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 7, 0, 0, 1, 1, 7 ]
[ 465, 5237, 203, 1070, 5296, 1188, 319, 203, 465, 2181, 203, 465, 1359, 203, 465, 1359, 81, 21201, 203, 465, 10703, 619, 3833, 203, 1070, 1359, 1188, 319, 203, 1070, 10703, 1188, 10703, 203, 1070, 706, 1188, 622, 81, 605, 30, 622, 81, 605, 81, 6057, 30, 2364, 81, 605, 81, 6057, 30, 1875, 81, 8147, 30, 17105, 81, 29054, 203, 1070, 6867, 1188, 6867, 30, 9257, 81, 605, 203, 465, 11638, 317, 203, 1270, 44, 284, 645, 10191, 1274, 1188, 38046, 1599, 203, 7343, 44, 284, 1459, 313, 2930, 44, 38046, 1599, 438, 5349, 372, 1420, 458, 3261, 11555, 203, 3264, 3610, 81, 20907, 203, 1455, 81, 20907, 280, 225, 34, 203, 589, 3639, 81, 1517, 26, 2999, 81, 14704, 30, 3380, 81, 10333, 30, 3380, 81, 34486, 711, 284, 3649, 3610, 81, 20907, 284, 3099, 9670, 20780, 36, 88, 1784, 79, 904, 91, 9708, 91, 9435, 10027, 91, 3974, 4731, 904, 1833, 2999, 81, 14704, 517, 308, 2999, 81, 34486, 474, 225, 34, 32, 34, 490, 319, 225, 35, 34, 34, 30, 3380, 81, 14704, 30, 3380, 81, 34486, 30, 3380, 81, 10333, 490, 284, 415, 3610, 81, 20907, 863, 11638, 317, 32, 1163, 32, 9942, 81, 22302, 44, 291, 3099, 440, 9942, 24144, 5372, 372, 904, 91, 9708, 91, 17048, 2337, 11555, 904, 308, 11215, 317, 32, 1163, 32, 9942, 81, 22302, 30, 11638, 317, 32, 30295, 2955, 2337, 5156, 291, 3610, 81, 20907, 280, 11638, 317, 32, 1163, 32, 9942, 81, 22302, 203, 589, 2575, 2262, 284, 4118, 280, 2181, 32, 2682, 81, 626, 3922, 346, 284, 3185, 280, 4118, 32, 2208, 81, 1132, 346, 284, 308, 978, 2315, 1211, 81, 1163, 30, 6867, 81, 2665, 30, 3185, 81, 605, 27, 280, 2181, 32, 2208, 81, 452, 81, 1163, 26, 2208, 27, 284, 415, 646, 3619, 2315, 1211, 81, 1163, 44, 291, 5237, 32, 4775, 26, 35, 27, 284, 415, 3185, 32, 13430, 610, 313, 1163, 563, 291, 415, 11509, 81, 2067, 440, 1163, 81, 2751, 392, 3185, 27, 461, 3185, 32, 1163, 81, 2751, 44, 324, 1359, 81, 21201, 32, 2751, 26, 978, 2315, 1211, 81, 1163, 30, 6867, 81, 2665, 27, 291, 415, 11509, 81, 2067, 440, 1163, 81, 2853, 392, 3185, 711, 324, 1359, 32, 2853, 26, 2208, 32, 1163, 81, 2853, 30, 3619, 2315, 1211, 81, 1163, 30, 6867, 81, 2665, 27, 291, 5237, 32, 4775, 26, 34, 27, 284, 415, 3185, 32, 13430, 610, 313, 3399, 20, 556, 3185, 32, 13430, 610, 313, 5937, 20, 556, 3185, 32, 13430, 610, 313, 668, 563, 291, 415, 3185, 32, 13430, 610, 313, 5937, 20, 556, 3185, 32, 13430, 610, 313, 668, 563, 324, 3833, 81, 6363, 81, 2665, 280, 1359, 32, 1526, 2416, 81, 1163, 26, 978, 2315, 1211, 81, 1163, 27, 324, 415, 313, 605, 81, 6057, 20, 328, 3833, 81, 6363, 81, 2665, 44, 400, 706, 81, 869, 81, 668, 280, 3833, 81, 6363, 81, 2665, 1365, 605, 81, 6057, 1446, 324, 813, 44, 400, 706, 81, 869, 81, 668, 280, 1605, 291, 813, 44, 324, 308, 3868, 81, 6363, 81, 2665, 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, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 1, 1, 3, 5, 3, 3, 5, 1, 2, 2, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 0, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 2, 2, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 11, 11, 11, 10, 10, 13, 13, 13, 12, 12, 13, 13, 13, 11, 8, 8, 9, 9, 9, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 2, 2, 3, 5, 5, 4, 4, 7, 6, 7, 5, 6, 6, 6, 3, 3, 3, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 12, 12, 11, 12, 10, 11, 11, 11, 9, 9, 12, 11, 12, 12, 12, 11, 4, 4, 7, 7, 6, 6, 9, 8, 9, 7, 8, 8, 8, 0, 1, 1, 2, 1, 1, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 6, 6, 6, 6, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 7, 6, 2, 2, 3, 4, 5, 5, 5, 5, 3, 3, 3, 7, 8, 7, 8, 7, 2, 2, 3, 5, 6, 4, 4, 6, 6, 3, 3, 5, 8, 8, 8, 10, 10, 10, 10, 8, 8, 6, 6, 7, 8, 8, 8, 5, 5, 5, 10, 10, 9, 10, 9, 10, 10, 10, 10, 10, 9, 9, 10, 10, 9, 4, 4, 5, 7, 7, 7, 9, 9, 9, 9, 7, 7, 5, 5, 9, 10, 9, 11, 10, 11, 11, 11, 9, 9, 10, 10, 10, 10, 9, 9, 10, 10, 9, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 7, 8, 6, 6, 8, 8, 5, 5, 7, 8, 6, 6, 8, 8, 4, 4, 6, 7, 5, 5, 7, 7, 3, 3, 5, 8, 9, 7, 7, 9, 9, 6, 6, 8, 9, 7, 7, 9, 9, 5, 5, 9, 9, 9, 9, 8, 8, 10, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 6, 6, 7, 10, 10, 10, 10, 8, 8, 9, 9, 9, 9, 7, 7, 7, 11, 11, 11, 11, 10, 10, 12, 12, 12, 12, 11, 13, 13, 13, 13, 7, 7, 8, 8, 8, 12, 12, 12, 12, 11, 11, 5, 5, 6, 6, 6, 11, 11, 11, 11, 11, 10 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 5, 5, 1, 1, 0, 6, 6, 6, 6, 0, 7, 7, 7, 7, 0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 0, 10, 10, 0, 0, 11, 11, 11, 11, 0, 0, 0, 0, 0, 11, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 12, 12, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 14, 14, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 14, 14, 0, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 4, 4, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 15, 15, 2, 15, 15, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 3, 3, 0, 0, 5, 5, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 1, 3, 3, 0, 2, 1, 1, 1, 4, 4, 5, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 5, 5, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 1, 1, 1, 1, 1, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 505, 1648, 505, 1057, 37, 32, 37, 32, 34, 25, 203, 505, 464, 505, 280, 2726, 2045, 4238, 81, 38, 1078, 370, 27, 203, 1070, 3639, 4785, 32, 1356, 32, 8717, 1188, 6176, 203, 1070, 3639, 4785, 32, 7008, 32, 28128, 32, 2282, 1188, 11489, 687, 203, 1070, 3639, 4785, 32, 1356, 32, 2304, 1188, 619, 6134, 203, 589, 310, 6949, 26, 91, 711, 284, 330, 20030, 9960, 25, 284, 540, 280, 9960, 26, 91, 27, 284, 540, 280, 540, 2867, 36, 6155, 100, 77, 36, 44, 997, 5729, 346, 284, 415, 540, 32, 20643, 463, 94, 7831, 540, 280, 540, 20129, 35, 79, 284, 442, 540, 203, 823, 632, 2231, 69, 81, 38, 1078, 26, 37099, 711, 284, 5881, 632, 2231, 69, 225, 38, 31, 1078, 8513, 1074, 308, 9027, 27, 35051, 32, 3367, 3099, 645, 632, 2231, 69, 31, 52, 31, 37, 36, 34, 34, 51, 284, 5881, 284, 617, 1644, 1250, 280, 225, 35, 284, 617, 2273, 1250, 280, 225, 35, 284, 617, 23180, 280, 225, 35, 35, 284, 617, 18184, 23422, 280, 225, 34, 284, 415, 2933, 44, 291, 372, 1069, 280, 5436, 26, 324, 506, 280, 308, 34, 32, 34, 40, 36, 39, 30, 34, 32, 34, 42, 36, 39, 471, 324, 394, 280, 308, 34, 32, 34, 35, 43, 39, 30, 34, 32, 34, 36, 42, 39, 471, 324, 399, 280, 308, 34, 32, 34, 40, 36, 39, 30, 34, 32, 34, 42, 36, 39, 471, 324, 475, 280, 308, 34, 32, 34, 35, 43, 39, 30, 34, 32, 34, 36, 42, 39, 471, 324, 829, 291, 6822, 101, 280, 5436, 26, 324, 506, 280, 7197, 34, 32, 34, 40, 36, 39, 5437, 34, 32, 34, 42, 36, 39, 471, 324, 394, 280, 7197, 34, 32, 34, 35, 43, 39, 5437, 34, 32, 34, 36, 42, 39, 471, 324, 475, 280, 7197, 34, 32, 34, 40, 36, 39, 5437, 34, 32, 34, 42, 36, 39, 471, 324, 399, 280, 7197, 34, 32, 34, 35, 43, 39, 5437, 34, 32, 34, 36, 42, 39, 471, 324, 829, 291, 13135, 280, 5436, 26, 324, 1861, 280, 308, 34, 32, 34, 35, 39, 30, 225, 34, 32, 34, 36, 39, 471, 324, 22746, 280, 308, 34, 32, 34, 38, 35, 40, 30, 225, 34, 32, 34, 39, 34, 471, 324, 420, 13478, 280, 308, 34, 32, 35, 36, 39, 30, 34, 32, 35, 36, 39, 471, 324, 354, 13478, 280, 308, 34, 32, 34, 36, 42, 30, 34, 32, 34, 36, 42, 471, 324, 829, 284, 813, 44, 291, 372, 1069, 280, 5436, 26, 324, 506, 280, 308, 34, 32, 34, 40, 41, 30, 34, 32, 35, 35, 39, 471, 324, 394, 280, 308, 34, 32, 34, 36, 35, 30, 34, 32, 34, 38, 34, 471, 324, 399, 280, 308, 34, 32, 34, 40, 41, 30, 34, 32, 35, 35, 39, 471, 324, 475, 280, 308, 34, 32, 34, 36, 35, 30, 34, 32, 34, 38, 34, 471, 324, 829, 291, 6822, 101, 280, 5436, 26, 324, 506, 280, 7197 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 8, 6, 9, 8, 10, 9, 8, 8, 7, 2, 2, 3, 5, 6, 5, 7, 7, 3, 6, 6, 7, 10, 7, 2, 2, 3, 0, 1, 1, 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, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 3, 3, 3, 3, 7, 6, 6, 8, 8, 8, 9, 9, 11, 11, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 11, 10, 8, 8, 9, 9, 11, 11, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 11, 10, 8, 8, 9, 9, 11, 11, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 11, 10, 8, 8, 9, 9, 11, 11, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 11, 10, 8, 8, 4, 4, 7, 6, 6, 8, 8, 8, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 10, 8, 8, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 10, 8, 8, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 10, 8, 8, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 10, 8, 8, 4, 4, 6, 6, 8, 8, 8, 9, 9, 11, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 11, 10, 8, 8, 9, 9, 11, 11, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 11, 10, 8, 8, 10, 9, 9, 11, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 8, 8, 10, 9, 9, 11, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 8, 8, 3, 3, 4, 4, 4, 8, 7, 7, 9, 9, 9, 10, 10, 12, 12, 12, 12, 12, 11, 12, 12, 12, 12, 12, 11, 9, 9, 10, 10, 12, 12, 12, 12, 12, 11, 12, 12, 12, 12, 12, 11, 9, 9, 10, 10, 12, 12, 12, 12, 12, 11, 12, 12, 12, 12, 12, 11, 9, 9, 10, 10, 12, 12, 12, 12, 12, 11, 12, 12, 12, 12, 12, 11, 9, 9, 5, 5, 8, 7, 7, 9, 9, 9, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 1, 2, 1, 2, 6, 6, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 3, 0, 2, 1, 1, 2, 3, 0, 0, 2, 1, 2, 4, 4, 4, 0, 7, 7, 1, 1, 1, 1, 1, 2, 1, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 5, 5, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 7, 7, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 7, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 0, 5, 5, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 2, 1, 1, 0, 7, 7, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 2, 1, 1, 5, 5, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 2, 1, 1, 7, 7, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 2322, 32, 983, 203, 465, 29590, 203, 465, 18792, 203, 1070, 14785, 32, 12023, 32, 2215, 32, 2958, 32, 10705, 1188, 14089, 81, 14298, 81, 16648, 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, 4156, 1188, 4886, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 14999, 81, 3801, 304, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 4257, 424, 203, 823, 46157, 15685, 29248, 1006, 26, 858, 32, 7233, 711, 334, 665, 894, 2529, 26, 784, 711, 284, 436, 36834, 81, 1877, 328, 428, 1815, 30, 3177, 2786, 397, 436, 9710, 328, 428, 48507, 32, 10894, 30, 343, 2516, 32, 1808, 37, 36, 30, 343, 2516, 32, 1808, 40, 38, 2786, 291, 623, 630, 32, 858, 81, 2848, 346, 619, 13597, 44, 616, 3218, 81, 695, 34, 280, 428, 35, 32, 34, 30, 225, 36, 32, 34, 79, 616, 3218, 81, 695, 35, 280, 428, 37, 32, 34, 30, 225, 38, 32, 34, 79, 616, 773, 34, 280, 4886, 32, 3818, 26, 3831, 81, 695, 34, 30, 636, 1057, 869, 34, 370, 9710, 47, 12010, 27, 616, 773, 35, 280, 4886, 32, 3818, 26, 3831, 81, 695, 35, 30, 636, 1057, 869, 35, 370, 9710, 47, 12010, 27, 616, 8056, 101, 34, 280, 8082, 81, 520, 32, 8662, 2009, 34, 32, 35, 30, 225, 34, 32, 35, 614, 9710, 47, 12010, 27, 616, 8056, 101, 35, 280, 8082, 81, 520, 32, 8662, 2009, 34, 32, 34, 35, 30, 225, 34, 32, 34, 35, 614, 9710, 47, 12010, 27, 616, 2919, 280, 14089, 81, 14298, 81, 16648, 32, 27824, 15685, 29248, 26, 1090, 14999, 81, 3801, 304, 32, 15316, 1450, 2460, 29248, 26, 11218, 81, 3306, 47, 36, 32, 34, 471, 1090, 10858, 81, 21213, 47, 34, 32, 39, 30, 1090, 36834, 81, 1877, 47, 42531, 81, 1877, 27, 616, 4131, 81, 1515, 280, 29590, 32, 4765, 86, 1433, 26, 1090, 5202, 47, 500, 32, 983, 32, 2524, 26, 784, 32, 371, 81, 1433, 81, 1515, 1026, 330, 1945, 81, 35, 2847, 616, 4131, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 2853, 81, 1515, 30, 330, 1160, 683, 616, 1974, 280, 2919, 32, 4699, 81, 44473, 26, 1090, 1149, 26, 25931, 32, 21332, 32, 3969, 2009, 4943, 101, 34, 30, 8056, 101, 35, 614, 428, 869, 34, 30, 773, 35, 25200, 616, 5683, 81, 2496, 424, 280, 2919, 32, 1586, 2782, 81, 2496, 424, 346, 616, 22410, 81, 2496, 424, 280, 4257, 424, 32, 41918, 346, 616, 4886, 32, 3264, 81, 9578, 81, 19321, 922, 1945, 346, 616, 1974, 32, 1945, 346, 616, 909, 34, 280, 773, 34, 32, 6569, 346, 616, 909, 35, 280, 773, 35, 32, 6569, 346, 616, 630, 32, 862, 1934, 4173, 6067, 8292, 705, 620, 2009, 34, 32, 42, 30, 225, 35 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 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, 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, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 5, 6, 6, 5, 5, 7, 6, 6, 6, 5, 5, 7, 7, 7, 10, 9, 10, 8, 8, 10, 9, 10, 10, 10, 8, 8, 10, 9, 10, 10, 10, 8, 7, 7, 9, 14, 15, 15, 15, 14, 12, 12, 9, 9, 9, 13, 13, 13, 12, 12, 14, 14, 14, 13, 13, 14, 14, 14, 13, 10, 10, 13, 13, 13, 12, 12, 14, 14, 14, 13, 13, 14, 14, 14, 13, 10, 10, 13, 12, 12, 14, 15, 14, 15, 15, 15, 15, 14, 14, 15, 17, 17, 17, 14, 15, 16, 14, 10, 10, 13, 12, 12, 14, 15, 14, 15, 15, 15, 15, 14, 14, 15, 17, 17, 17, 14, 15, 16, 14, 10, 10, 13, 13, 12, 12, 15, 15, 14, 15, 14, 16, 16, 16, 15, 15, 16, 16, 16, 15, 14, 15, 16, 14, 10, 10, 13, 13, 12, 12, 15, 15, 14, 15, 14, 16, 16, 16, 16, 15, 15, 16, 16, 16, 16, 15, 14, 15, 16, 14, 10, 10, 12, 12, 15, 15, 15, 15, 14, 15, 15, 15, 14, 14, 14, 17, 17, 17, 16, 17, 17, 17, 17, 16, 18, 18, 18, 17, 18, 18, 18, 16, 14, 14, 16, 16, 15, 16, 16, 16, 14, 14, 14, 16, 16, 15, 16, 16, 16, 14, 10, 10, 13, 13, 12, 12, 14, 15, 15, 15, 14, 14, 14, 15, 19, 18, 19, 17, 18, 17, 20, 19, 20, 20, 20, 20, 20, 19, 17, 19, 19, 19, 19, 10, 10, 13, 13, 12, 12, 15, 16, 14, 15, 14, 15, 15, 15, 14, 14, 16, 16, 10, 10, 12, 12, 14, 15, 15, 15, 14, 14, 14, 16, 20, 19, 20, 18, 19, 18, 20, 20, 20, 19, 19, 20, 20, 19, 18, 20, 20, 19, 19, 20, 19, 10, 10, 13, 13, 13, 12, 12, 14, 15, 15, 15, 15, 15, 14, 10, 10, 13, 13, 13, 12, 12, 15, 14, 15, 14, 10, 10, 15, 16, 16, 16, 16, 16, 15, 14, 13, 10, 10, 13, 14, 13, 10, 10, 13, 12, 12, 15, 14, 15, 14, 10, 10, 13, 12, 12, 15, 14, 15, 14, 10, 10, 13, 14, 14, 14, 14, 14, 14, 14, 13, 15, 15, 15, 14, 14, 15 ]
[ 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, 0, 4, 4, 0, 5, 5, 0, 6, 6, 1, 2, 1, 4, 1, 6, 1, 8, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 13, 13, 1, 1, 1, 2, 0, 1, 2, 2, 13, 13, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 0, 3, 2, 2, 2, 3, 3, 0, 5, 2, 2, 2, 3, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 2, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 1, 5, 2, 1, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 1, 5, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 2, 2, 2, 2, 2, 1, 2, 1, 3, 3, 0, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3 ]
[ 589, 4159, 1922, 5017, 2825, 53, 2760, 26, 2668, 30, 1334, 711, 284, 2152, 280, 5034, 2593, 36, 1803, 32, 916, 1922, 5017, 2825, 53, 2760, 26, 2668, 30, 1334, 27, 284, 415, 2152, 438, 1665, 44, 13225, 4118, 924, 463, 916, 1922, 5017, 2825, 53, 2760, 346, 3803, 683, 284, 442, 4118, 53, 2760, 2176, 2067, 47, 2094, 27, 203, 589, 4159, 3297, 65, 13779, 10797, 26, 695, 711, 284, 2152, 280, 5034, 2593, 36, 1803, 32, 916, 3297, 65, 13779, 10797, 26, 695, 27, 284, 442, 2152, 203, 589, 4159, 1622, 3206, 2212, 26, 426, 711, 284, 2152, 280, 5034, 2593, 36, 1803, 32, 916, 1622, 3206, 2212, 26, 426, 27, 284, 442, 2152, 203, 589, 4159, 1812, 2825, 53, 2760, 2262, 284, 2152, 280, 5034, 2593, 36, 1803, 32, 916, 1812, 2825, 53, 2760, 346, 284, 415, 2152, 438, 1665, 44, 13225, 4118, 924, 463, 916, 1812, 2825, 53, 2760, 346, 3803, 683, 284, 442, 4118, 53, 2760, 2176, 2067, 47, 2094, 27, 203, 589, 4159, 4480, 4216, 26, 1537, 30, 7328, 711, 284, 2152, 280, 5034, 2593, 36, 1803, 32, 916, 4480, 4216, 26, 1537, 30, 7328, 27, 284, 415, 2152, 438, 1665, 44, 13225, 4118, 924, 463, 916, 4480, 4216, 346, 3803, 683, 284, 442, 5592, 4216, 2176, 2067, 47, 2094, 27, 203, 589, 4159, 4480, 974, 26, 3607, 30, 7328, 711, 284, 2152, 280, 5034, 2593, 36, 1803, 32, 916, 4480, 974, 26, 3607, 30, 7328, 27, 284, 415, 2152, 438, 1665, 44, 13225, 4118, 924, 463, 916, 4480, 974, 346, 3803, 683, 284, 442, 5592, 4216, 2176, 2067, 47, 2094, 27, 203, 589, 4159, 2230, 4216, 26, 1537, 30, 3834, 30, 7328, 30, 2075, 711, 284, 2152, 280, 5034, 2593, 36, 1803, 32, 916, 2230, 4216, 26, 1537, 30, 3834, 30, 7328, 30, 2075, 27, 284, 415, 2152, 438, 1665, 44, 13225, 4345, 924, 463, 916, 2230, 4216, 346, 3803, 683, 284, 442, 5592, 4216, 2176, 2067, 47, 2094, 27, 203, 589, 4159, 2230, 19353, 26, 2995, 30, 3834, 30, 7328, 30, 2075, 711, 284, 2152, 280, 5034, 2593, 36, 1803, 32, 916, 2230, 19353, 26, 2995, 30, 3834, 30, 7328, 30, 2075, 27, 284, 415, 2152, 438, 1665, 44, 13225, 4345, 924, 463, 916, 2230, 19353, 346, 3803, 683, 284, 442, 5592, 4216, 2176, 2067, 47, 2094, 27, 203, 589, 4159, 32570, 26, 3607, 30, 7328, 30, 2075, 711, 284, 2152, 280, 5034, 2593, 36, 1803, 32, 916, 32570, 26, 3607, 30, 7328, 30, 2075, 27, 284, 415, 2152, 438, 1665, 44, 13225, 4345, 924, 463, 916, 32570, 346, 3803, 683, 284, 442, 5592, 4216, 2176, 2067, 47, 2094, 27, 203, 589, 4159, 2230, 5017, 26, 2668, 30, 1334, 30, 3834, 30, 7328, 30, 2075, 711, 284, 2152, 280, 5034, 2593, 36, 1803, 32, 916, 2230, 5017, 26, 2668, 30, 1334, 30, 3834, 30, 7328, 30, 2075, 27, 284, 415, 2152, 438, 1665, 44, 13225, 4345, 924, 463, 916, 2230, 5017, 346, 3803, 683, 284, 442, 5592, 4216, 2176, 2067, 47, 2094, 27, 203, 589, 4159, 1622, 4709, 5871, 26, 426, 711, 284, 2152 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 6, 7, 6, 6, 6, 2, 2, 3, 4, 4, 3, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 5, 5, 5, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 7, 7, 6, 7, 7, 7, 7, 7, 6, 7, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 7, 7, 6, 7, 7, 7, 7, 6, 7, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 7, 7, 6, 7, 7, 7, 7, 7, 6, 2, 2, 3, 4, 4, 3, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 5, 5, 5, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 7, 7, 7, 6, 7, 7, 7, 6, 7, 6, 6, 6, 2, 2, 3, 4, 4, 3, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 5, 5, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 7, 7, 7, 6, 7, 7, 7, 6, 7, 6, 6, 6, 2, 2, 3, 4, 4, 3, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 5, 5, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 7, 7, 6, 7, 7, 7, 6, 7, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 3, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 5, 5, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 7, 7, 6, 7, 7, 7, 6, 7, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 3, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 5, 5, 7, 6, 7, 5, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 7, 7, 6, 7, 7, 6, 7, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 3, 5, 5, 7, 7, 9, 9, 9, 9, 9, 2, 2, 3, 5, 5, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 7, 7, 6, 7, 7, 7, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 3, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 5, 5, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1 ]
[ 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 3, 3, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 0, 1, 0, 1, 2, 1, 0, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 1, 0, 1, 2, 1, 0, 5, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 1, 0, 1, 2, 1, 0, 6, 6, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 1, 0, 1, 2, 1, 0, 7, 7, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 7, 7, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 1, 0, 1, 2, 1, 0, 8, 8, 1, 2, 1, 2, 2, 2, 2, 2, 8, 8, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 1, 0, 1, 2, 1, 0, 9, 9, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 1, 0, 1, 2, 1, 0, 10, 10, 1, 1, 1, 2, 1, 2, 10, 10 ]
[ 465, 2322, 203, 465, 1133, 203, 465, 7138, 203, 1070, 44524, 1188, 44524, 203, 1070, 2680, 7167, 1188, 14580, 13976, 203, 823, 17197, 26, 6665, 32, 10185, 1338, 711, 284, 20024, 280, 7138, 32, 32888, 26, 34, 27, 284, 665, 8186, 331, 34729, 26, 784, 30, 8793, 711, 291, 442, 630, 32, 13977, 284, 665, 25932, 426, 26, 784, 30, 8793, 711, 291, 442, 313, 15689, 20, 284, 665, 7112, 26, 784, 30, 8793, 711, 291, 442, 630, 32, 13977, 203, 16700, 280, 17197, 346, 203, 823, 24603, 5871, 7167, 26, 7167, 13976, 711, 284, 665, 1156, 1664, 3207, 784, 30, 5436, 47, 2521, 30, 1115, 5321, 711, 291, 630, 3667, 2665, 39459, 81, 1174, 81, 7242, 81, 1446, 280, 1605, 291, 630, 3667, 2665, 39459, 81, 605, 81, 7242, 81, 1446, 280, 2149, 291, 415, 5436, 438, 646, 1665, 44, 324, 630, 32, 1877, 26, 2665, 27, 291, 415, 2069, 26, 5321, 711, 324, 630, 32, 1877, 26, 5321, 27, 284, 665, 1156, 470, 1094, 3207, 784, 30, 1202, 30, 786, 711, 291, 415, 1202, 646, 328, 630, 44, 324, 630, 1114, 1174, 81, 7242, 3133, 1689, 26, 678, 27, 291, 630, 1114, 605, 81, 7242, 8850, 678, 79, 280, 786, 284, 665, 1156, 33644, 3207, 784, 30, 1202, 711, 291, 442, 630, 1114, 605, 81, 7242, 8850, 678, 79, 284, 665, 1156, 4025, 1094, 3207, 784, 30, 1202, 711, 291, 3555, 630, 1114, 605, 81, 7242, 8850, 678, 79, 291, 630, 1114, 1174, 81, 7242, 3133, 2546, 26, 678, 27, 284, 665, 5036, 26, 784, 711, 291, 442, 1149, 26, 784, 1114, 1174, 81, 7242, 7912, 284, 665, 1156, 32110, 3207, 784, 30, 636, 711, 291, 1596, 44, 324, 442, 630, 77, 426, 79, 291, 2940, 25085, 44, 324, 3636, 29316, 26, 426, 27, 284, 665, 1156, 45865, 3207, 784, 30, 636, 30, 786, 711, 291, 630, 77, 426, 79, 280, 786, 284, 665, 1156, 4025, 2437, 3207, 784, 30, 636, 711, 291, 1596, 44, 324, 3555, 630, 77, 426, 79, 291, 2940, 25085, 44, 324, 3636, 29316, 26, 426, 27, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 1596, 44, 324, 1672, 81, 1731, 280, 630, 32, 40957, 346, 324, 6697, 81, 1731, 280, 1604, 32, 40957, 346, 291, 2940, 29316, 44, 324, 442, 3177, 291, 1672, 81, 2951, 280, 3177, 291, 6697, 81, 2951, 280, 3177, 291, 2218, 2933, 44, 324, 1596, 44, 400, 1672, 81, 678, 30, 1672, 81, 695, 280, 1672, 81, 1731, 32, 1978, 346, 324, 2940, 12305, 21863, 44, 400, 1672, 81, 2951, 280, 2933, 324, 1596, 44, 400, 6697, 81, 678, 30, 6697, 81, 695, 280, 6697, 81, 1731, 32, 1978, 346, 324, 2940, 12305, 21863, 44, 400, 6697, 81, 2951, 280, 2933, 324, 415, 1672, 81, 2951, 461, 6697, 81, 2951, 44, 400, 442, 2933, 324, 415, 1672, 81, 2951, 556, 6697, 81, 2951, 44, 400, 442, 3177, 324, 415, 308, 1772, 81, 678, 30, 1672, 81, 695, 27, 863, 308, 26163, 81, 678, 30, 6697, 81, 695, 711, 400, 442, 3177, 284, 665, 1156, 13707, 3207, 784, 711, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 4, 3, 4, 4, 2, 1, 1, 4, 4, 6, 7, 6, 7, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 0, 3, 2, 2, 4, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 4, 3, 3, 8, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 5, 9, 10, 9, 10, 9, 4, 4, 5, 7, 8, 7, 5, 5, 9, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 6, 5, 5, 5, 10, 11, 11, 11, 11, 10, 9, 10, 9, 4, 4, 8, 9, 9, 9, 9, 8, 7, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 8, 7, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 8, 7, 6, 4, 4, 8, 9, 9, 9, 9, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 9, 9, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 7, 8, 9, 8, 5, 5, 6, 6, 6, 6, 8, 10, 11, 10, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 7, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 7, 8, 9, 8, 5, 5, 6, 6, 6, 6, 8, 10, 11, 10, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 9, 9, 8, 8, 10, 11, 10, 6, 6, 9, 9, 8, 8, 10, 11, 10, 5, 5, 6, 6, 6, 6, 8, 4, 4, 7, 7, 6, 6, 4, 4, 7, 7, 6, 6, 4, 4, 5, 5, 5, 5, 7, 7, 7, 12, 12, 11, 11, 12, 12, 10, 10, 13, 13, 12, 13, 12, 7, 7, 8, 9, 8, 8, 8, 12, 12, 11, 11, 6, 6, 7, 7, 7, 12, 12, 11, 11, 12, 12, 10, 10, 13, 13, 12, 13, 12, 7, 7, 8, 9, 8, 8, 8, 12, 12, 11, 11, 6, 6, 7, 9, 9, 8, 8, 9, 9, 7, 7, 7, 9, 6, 6, 7, 9, 9, 8, 8, 9, 9, 7, 7, 7, 9, 6, 6, 7, 10, 10, 10, 9, 9, 10, 10, 9, 8, 8, 10, 10, 10, 9, 9, 10, 10, 9, 7, 7, 9, 2, 2, 3, 4, 4, 5, 4, 3 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 2, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 4, 4, 3, 2, 1, 2, 2, 2, 3, 3, 0, 1, 2, 0, 0, 0, 0, 1, 0, 7, 7, 1, 1, 2, 1, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 2, 2, 2, 3, 3, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 4, 2, 1, 2, 4, 4, 0, 1, 0, 1, 2, 2, 2, 2, 4, 4, 5, 1, 1, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 1, 2, 1, 0, 0, 3, 3, 3, 3, 0, 1, 1, 1, 4, 4, 6, 1, 1, 1, 2, 2, 2, 2, 2, 6, 6, 0, 2, 0, 0, 0, 4, 4, 7, 1, 1, 1, 1, 2, 2, 2, 7, 7, 0, 0, 0, 0, 1, 2, 1, 0, 0, 3, 3, 3, 3, 0, 1, 1, 1, 4, 4, 8, 1, 1, 1, 2, 2, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 3, 1, 3, 3, 3, 0, 0, 0, 0, 3, 3, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 3, 3, 3, 0, 0, 0, 0, 3, 3, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 3, 3, 3, 0, 0, 1, 1, 2, 2, 3, 3, 3, 0, 3, 3, 4, 1, 1, 1, 0, 0, 3, 3, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 0, 4, 4, 9, 1, 1, 1, 2, 9 ]
[ 589, 6761, 81, 464, 81, 32417, 81, 1028, 81, 5823, 26, 96, 711, 284, 540, 9592, 35902, 101, 1169, 25164, 432, 11557, 4991, 529, 96, 82, 328, 37053, 18299, 2532, 44, 284, 2037, 291, 8217, 436, 9778, 328, 2491, 384, 7550, 32, 12766, 81, 464, 81, 32417, 81, 1028, 81, 5823, 26, 41, 711, 291, 2417, 262, 9778, 291, 2417, 291, 308, 41, 21713, 291, 308, 40, 30, 225, 35, 27, 291, 308, 39, 30, 225, 36, 27, 291, 308, 39, 30, 225, 35, 30, 225, 35, 27, 291, 308, 38, 30, 225, 37, 27, 291, 308, 38, 30, 225, 36, 30, 225, 35, 27, 291, 308, 38, 30, 225, 35, 30, 225, 35, 30, 225, 35, 27, 291, 308, 37, 30, 225, 37, 30, 225, 35, 27, 291, 308, 37, 30, 225, 36, 30, 225, 36, 27, 291, 308, 37, 30, 225, 36, 30, 225, 35, 30, 225, 35, 27, 291, 308, 37, 30, 225, 35, 30, 225, 35, 30, 225, 35, 30, 225, 35, 27, 291, 308, 36, 30, 225, 36, 30, 225, 36, 30, 225, 35, 27, 291, 308, 36, 30, 225, 36, 30, 225, 35, 30, 225, 35, 30, 225, 35, 27, 291, 308, 36, 30, 225, 35, 30, 225, 35, 30, 225, 35, 30, 225, 35, 30, 225, 35, 27, 291, 308, 35, 30, 225, 35, 30, 225, 35, 30, 225, 35, 30, 225, 35, 30, 225, 35, 30, 225, 35, 27, 284, 3759, 9750, 432, 11557, 4991, 24414, 432, 3104, 821, 6225, 4102, 35, 16688, 284, 5881, 284, 645, 1399, 33392, 32, 4280, 1188, 2491, 384, 7550, 284, 415, 646, 6937, 26, 96, 30, 629, 711, 291, 1474, 280, 330, 12172, 526, 4991, 4564, 291, 3636, 12678, 26, 1436, 27, 284, 415, 646, 225, 34, 333, 310, 44, 291, 1474, 280, 330, 12172, 526, 11557, 4564, 291, 3636, 10091, 26, 1436, 27, 284, 9778, 280, 308, 96, 30, 829, 284, 2218, 9778, 438, 646, 1665, 44, 291, 6761, 9778, 291, 9778, 280, 2491, 384, 7550, 32, 1978, 81, 5823, 81, 11458, 26, 11458, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 4, 5, 3, 3, 5, 5, 2, 2, 3, 4, 6, 7, 6, 6, 6, 3, 3, 6, 6, 8, 8, 8, 8, 4, 4, 5, 7, 8, 7, 2, 2, 3, 4, 6, 5, 5, 3, 3, 3, 6, 6, 8, 8, 8, 8, 4, 4, 5, 7, 8, 7, 2, 2, 4, 4, 6, 5, 5, 2, 2, 3, 4, 4, 4, 3, 3, 3, 6, 4, 4, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 9, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 1, 2, 1, 1, 0, 0, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 4, 4, 3, 1, 0, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 4, 4, 0, 0, 1, 2, 2, 4, 4, 5, 1, 1, 1, 5, 5, 5, 0, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 10849, 261, 1188, 319, 203, 1070, 1795, 261, 1188, 319, 203, 1070, 8745, 262, 1188, 319, 203, 1070, 14971, 1188, 319, 203, 1070, 372, 916, 264, 1188, 319, 203, 465, 8745, 203, 465, 5237, 30, 2322, 30, 1133, 30, 802, 30, 12460, 30, 622, 2215, 203, 589, 225, 6886, 2262, 284, 1459, 2706, 96, 4216, 18879, 10484, 2471, 78, 96, 20, 284, 1459, 313, 225, 3693, 25830, 428, 2184, 79, 803, 35, 428, 761, 36, 2417, 10854, 96, 20, 284, 1459, 313, 908, 322, 2412, 2075, 3491, 96, 20, 284, 1459, 313, 225, 429, 90, 499, 1459, 458, 1938, 20, 284, 1459, 313, 225, 429, 102, 499, 739, 2074, 1780, 30, 619, 328, 6470, 102, 4034, 3758, 5412, 1492, 7362, 284, 1459, 313, 225, 429, 97, 499, 739, 1688, 3362, 30, 619, 328, 6470, 97, 1672, 1515, 7362, 284, 1459, 313, 225, 429, 98, 499, 739, 4333, 5202, 30, 619, 328, 6470, 98, 18422, 36, 7362, 284, 1459, 3330, 284, 1459, 313, 225, 769, 1311, 225, 499, 2432, 619, 429, 102, 30, 619, 328, 11363, 1311, 4083, 3758, 5412, 1492, 7362, 284, 1459, 313, 225, 769, 2024, 499, 2432, 619, 429, 97, 30, 619, 328, 11363, 2024, 47, 1772, 1515, 7362, 284, 1459, 313, 225, 769, 4254, 499, 2432, 619, 429, 98, 30, 619, 328, 11363, 4254, 47, 708, 36, 7362, 203, 589, 225, 2575, 26, 6184, 8063, 284, 3649, 1688, 81, 1515, 284, 1596, 44, 291, 6410, 30, 2181, 280, 622, 2215, 32, 30226, 26, 5237, 32, 6118, 77, 35, 23751, 1891, 313, 384, 44, 97, 44, 98, 9318, 1891, 3037, 4756, 392, 313, 1311, 12614, 313, 2024, 12614, 313, 4254, 347, 79, 829, 284, 2940, 622, 2215, 32, 936, 2215, 924, 44, 291, 6886, 346, 291, 5237, 32, 4775, 26, 225, 36, 829, 284, 415, 2181, 610, 1605, 44, 291, 6886, 346, 291, 5237, 32, 4775, 26, 225, 35, 829, 284, 2074, 81, 1311, 225, 280, 313, 3196, 20, 284, 2074, 81, 4254, 280, 1665, 284, 1688, 81, 1515, 262, 280, 1665, 284, 436, 2919, 328, 6410, 44, 291, 415, 2919, 77, 34, 79, 328, 308, 4825, 90, 392, 7915, 4756, 20, 8063, 324, 6886, 346, 324, 5237, 32, 4775, 26, 225, 34, 829, 291, 415, 2919, 77, 34, 79, 328, 308, 4825, 102, 392, 7915, 1311, 20, 8063, 324, 2074, 81, 1311, 280, 2919, 77, 35, 79, 291, 415, 2919, 77, 34, 79, 328, 308, 4825, 97, 392, 7915, 2024, 20, 8063, 324, 8745, 32, 2024, 81, 1515, 280, 2919, 77, 35, 79, 291, 415, 2919, 77, 34, 79, 328, 308, 4825, 98, 392, 7915, 4254, 20, 8063, 324, 2074, 81, 4254, 280, 2919, 77, 35, 79, 284, 1505, 81, 2024, 346, 284, 1914, 81, 10075, 225, 280, 6374, 6861, 346, 284, 1795, 81, 10075, 280, 6256, 6861, 346, 284, 803, 81, 668, 280, 1930, 81, 761, 81, 668, 26, 2181, 829, 284, 436, 4870, 328, 803, 81, 668, 44, 291, 1914, 81, 10075, 32, 2208, 81, 761, 26, 4870, 829, 291, 1795, 81, 10075, 32, 2208, 81, 11250, 26, 1914, 81, 10075, 829, 284, 1795, 81, 10075 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 1, 2, 1, 1, 3, 6, 5, 5, 5, 5, 6, 6, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 2, 2, 3, 5, 5, 5, 5, 5, 6, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 1, 2, 2, 2, 1, 1, 3, 4, 4, 2, 2, 3, 3, 3, 7, 7, 6, 6, 9, 8, 9, 8, 8, 10, 11, 9, 11, 10, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 11, 11, 9, 11, 11, 9, 11, 11, 9, 11, 11, 9, 8, 3, 3, 4, 6, 5, 6, 6, 6, 4, 4, 4, 8, 5, 5, 8, 9, 8, 8, 9, 8, 2, 2, 3, 4, 4, 3, 3, 3, 7, 4, 4, 7, 8, 7, 7, 8, 7, 2, 2, 5, 5, 4, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 5, 7, 8, 7, 6, 6, 7, 9, 9, 7, 9, 9, 7, 5, 5, 9, 6, 6, 9, 10, 9, 9, 10, 9, 4, 4, 5, 7, 8, 7, 6, 6, 7, 9, 9, 7, 9, 9, 7, 5, 5, 9, 9, 8, 8, 9, 10, 9, 4, 4, 5, 7, 8, 7, 6, 6, 7, 9, 9, 7, 9, 9, 7, 5, 5, 9, 10, 10, 10, 8, 8, 9, 10, 9, 4, 4, 5, 7, 8, 7, 6, 6, 7, 9, 9, 7, 9, 9, 7, 5, 5, 9, 9, 8, 8, 9, 10, 9, 2, 2, 5, 5, 5, 2, 2, 5, 5, 4, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 8, 8, 7, 8, 8, 8, 7, 7, 7, 4, 4, 8, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 2, 2, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 4, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 7, 7, 7, 2, 7, 7, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 4, 4, 2, 1, 1, 1, 1, 1, 0, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 4, 4, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 8, 8, 8, 2, 2, 2, 8, 8, 0, 1, 1, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 5, 1, 1, 5, 1, 1, 5, 1, 1, 1, 3, 0, 1, 2, 2, 2, 3, 3, 3, 1, 3, 3, 0, 2, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 6, 6, 6, 6, 6, 6, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 3, 3, 0, 2, 1, 1, 1, 1, 5, 5, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 5, 5, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 5, 5, 3, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 11, 11, 11, 3, 3, 11, 11, 11, 0, 0, 0, 2, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0 ]
[ 465, 7744, 203, 823, 6564, 63, 6650, 717, 26, 1473, 711, 203, 202, 589, 1156, 1664, 3207, 784, 30, 9617, 1250, 47, 36, 39, 40, 711, 357, 202, 20, 9962, 322, 394, 2739, 6564, 488, 6650, 717, 3619, 29382, 20, 357, 202, 784, 32, 8336, 1250, 280, 9617, 1250, 357, 202, 784, 32, 4332, 13288, 280, 225, 36, 319, 7744, 32, 1295, 319, 225, 40, 37, 41, 42, 35, 37, 41, 517, 630, 32, 8336, 1250, 357, 202, 784, 32, 6946, 10210, 280, 225, 36, 319, 7744, 32, 1295, 319, 225, 40, 37, 41, 42, 35, 37, 41, 517, 225, 36, 32, 34, 203, 202, 589, 19190, 22640, 705, 3358, 483, 26, 784, 30, 7678, 30, 14716, 8063, 357, 202, 20, 609, 11217, 2702, 7678, 33, 9512, 328, 624, 11061, 42, 38, 47834, 372, 43536, 328, 358, 36229, 488, 6650, 717, 39438, 57, 44, 43, 34, 34, 43, 35, 37, 20, 357, 202, 7773, 280, 14716, 319, 630, 32, 6946, 10210, 517, 225, 35, 42, 34, 32, 34, 357, 202, 1772, 280, 7744, 32, 751, 26, 7744, 32, 21951, 1162, 43, 34, 474, 7678, 27, 319, 7744, 32, 1295, 517, 225, 37, 40, 34, 32, 34, 9658, 517, 308, 3812, 32, 1295, 517, 225, 35, 42, 34, 32, 34, 27, 357, 202, 1772, 280, 1672, 319, 630, 32, 6946, 10210, 517, 225, 35, 42, 34, 32, 34, 357, 202, 601, 11921, 30, 1672, 203, 202, 589, 8353, 483, 705, 9062, 22640, 26, 784, 30, 11921, 30, 1672, 8063, 357, 202, 20, 609, 11217, 43536, 2260, 645, 358, 36229, 488, 6650, 717, 39438, 57, 44, 43, 34, 34, 43, 35, 37, 372, 7678, 33, 9512, 328, 624, 11061, 42, 38, 47834, 20, 357, 202, 9512, 280, 308, 7773, 517, 630, 32, 6946, 10210, 27, 319, 225, 35, 42, 34, 32, 34, 357, 202, 4474, 280, 308, 1772, 517, 630, 32, 6946, 10210, 27, 319, 225, 35, 42, 34, 32, 34, 357, 202, 4474, 280, 225, 35, 42, 34, 517, 7744, 32, 1295, 319, 308, 36, 319, 7744, 32, 7708, 26, 7744, 32, 2832, 26, 7678, 319, 7744, 32, 1295, 517, 225, 35, 42, 34, 32, 34, 490, 429, 7744, 32, 1295, 517, 225, 36, 32, 34, 27, 357, 202, 601, 7678, 30, 14716, 203, 202, 589, 20177, 20773, 3358, 483, 26, 784, 30, 9243, 30, 3619, 30, 13156, 711, 357, 202, 20, 609, 11217, 6573, 10517, 328, 2702, 13156, 3193, 432, 3619, 29382, 372, 39438, 57, 44, 43, 34, 34, 43, 35, 37, 20, 357, 202, 575, 280, 630, 32, 13288, 26, 13156, 829, 357, 202, 7773, 280, 9243, 319, 736, 429, 630, 32, 6946, 10210, 357, 202, 1772, 280, 3619, 319, 736, 429, 630, 32, 6946, 10210, 357, 202, 601, 11921, 30, 1672, 203, 202, 589, 8353, 483, 705, 17752, 26, 784, 30, 11921, 30, 1672, 30, 13156, 711, 357, 202, 20, 609, 11217, 39438, 57, 44, 43, 34, 34, 43, 35, 37, 372, 3619, 29382, 6573, 10517, 328, 2702, 13156, 3193, 20, 357, 202, 575, 280, 630, 32, 13288, 26, 13156, 829, 357, 202, 1082, 280, 308, 7773, 474, 630, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 4, 4, 5, 4, 4, 6, 5, 6, 6, 6, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 8, 7, 8, 8, 6, 6, 7, 4, 4, 8, 7, 8, 8, 6, 6, 10, 9, 9, 10, 11, 8, 8, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 9, 9, 4, 4, 8, 7, 8, 8, 6, 6, 10, 9, 9, 10, 11, 8, 8, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 6, 6, 8, 8, 9, 10, 10, 7, 7, 8, 8, 8, 8, 8, 4, 4, 7, 6, 6, 9, 10, 9, 9, 11, 12, 11, 16, 16, 15, 15, 14, 13, 13, 14, 15, 12, 12, 13, 13, 13, 13, 13, 11, 7, 7, 11, 10, 11, 9, 9, 10, 10, 10, 10, 10, 8, 4, 4, 7, 6, 6, 8, 8, 9, 10, 10, 7, 7, 8, 8, 8, 8, 8, 4, 4, 5, 5, 6, 6, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 6, 6, 10, 9, 9, 10, 11, 11, 8, 7, 7, 8, 8, 8, 8, 8, 4, 4, 7, 6, 6, 10, 9, 9, 10, 11, 11, 8, 7, 7, 8, 8, 8, 8, 8, 4, 4, 7, 6, 6, 9, 9, 9, 8, 8, 9, 10, 7, 7, 11, 10, 10, 12, 13, 12, 12, 14, 15, 14, 14, 16, 16, 17, 18, 15, 15, 16, 16, 16, 16, 16, 14, 9, 9, 11, 12, 10, 10, 11, 11, 11, 8, 4, 4, 5, 5, 6, 6, 2, 2, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 6, 6, 8, 9, 8, 8, 8, 4, 4, 7, 6, 6, 8, 8, 7, 7, 8, 9, 9, 4, 4, 7, 6, 6, 8, 8, 7, 7, 8, 9, 9, 4, 4, 5, 5, 6, 6, 2, 2, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 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, 7, 6, 6, 8, 9, 8, 8, 8, 4, 4, 7, 6, 6, 10, 9, 9, 10 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 3, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 1, 1, 4, 4, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 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, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 1, 1, 4, 4, 3, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 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, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 2 ]
[ 9592, 203, 30898, 706, 5193, 203, 9592, 203, 465, 31074, 203, 1070, 298, 36, 5178, 32, 1040, 1188, 7116, 668, 30, 2677, 203, 823, 34044, 11393, 720, 26, 5961, 668, 32, 11393, 720, 711, 284, 665, 1156, 1664, 3207, 784, 30, 16720, 711, 291, 7116, 668, 32, 11393, 720, 3667, 1664, 3207, 784, 27, 291, 630, 32, 13610, 280, 16720, 291, 630, 32, 13610, 32, 17577, 32, 6589, 81, 12063, 612, 26, 784, 30, 9254, 630, 30, 1623, 44, 630, 32, 41265, 81, 1094, 26, 1094, 32, 2888, 490, 284, 665, 4552, 26, 784, 30, 1994, 711, 291, 442, 630, 32, 13610, 1114, 6558, 81, 681, 32, 1070, 81, 2543, 26, 784, 32, 13610, 32, 3028, 77, 2543, 8492, 9793, 203, 823, 26911, 11393, 720, 26, 12147, 11393, 720, 711, 284, 665, 622, 81, 6558, 26, 784, 30, 1994, 711, 291, 442, 1994, 30, 225, 35, 30, 630, 32, 8884, 26, 2543, 27, 284, 665, 16846, 81, 32492, 302, 26, 784, 30, 308, 1070, 81, 2888, 35, 30, 1673, 35, 30, 372, 81, 2888, 35, 471, 308, 1070, 81, 2888, 36, 30, 1673, 36, 30, 372, 81, 2888, 36, 8531, 291, 415, 372, 81, 2888, 35, 863, 645, 81, 2888, 36, 44, 324, 3636, 34835, 346, 291, 442, 645, 81, 2888, 35, 30, 1673, 35, 474, 1673, 36, 30, 372, 81, 2888, 36, 284, 665, 2815, 81, 10957, 26, 784, 30, 1477, 30, 308, 96, 30, 8531, 291, 442, 225, 34, 30, 1477, 284, 665, 4871, 81, 6558, 26, 784, 30, 308, 2452, 35, 30, 372, 81, 2888, 35, 471, 308, 1070, 81, 2888, 36, 30, 1673, 36, 30, 372, 81, 2888, 36, 471, 308, 96, 30, 8531, 291, 415, 372, 81, 2888, 35, 863, 645, 81, 2888, 36, 44, 324, 3636, 34835, 346, 291, 442, 1673, 35, 474, 1673, 36, 30, 372, 81, 2888, 36, 284, 665, 39953, 26, 784, 30, 308, 2452, 30, 3677, 471, 308, 96, 30, 8531, 291, 415, 1673, 848, 310, 44, 324, 442, 225, 35, 291, 4348, 1673, 610, 310, 44, 324, 442, 225, 34, 291, 813, 44, 324, 442, 429, 35, 284, 665, 34207, 26, 784, 30, 308, 2452, 30, 3677, 471, 308, 96, 30, 8531, 291, 1201, 1673, 610, 310, 291, 442, 3677, 203, 589, 622, 81, 4890, 6558, 81, 681, 26, 10407, 711, 3701, 443, 9127, 2212, 9189, 26, 1473, 711, 291, 1156, 18645, 505, 280, 2107, 1816, 370, 330, 9793, 785, 474, 11758, 32, 3494, 346, 291, 477, 17614, 291, 665, 622, 81, 4108, 26, 6933, 30, 1994, 81, 314, 711, 324, 442, 9011, 26, 2543, 81, 314, 30, 1994, 81, 314, 30, 1115, 2665, 1162, 93, 30, 225, 34, 27, 436, 831, 328, 11758, 490, 291, 477, 17614, 291, 665, 645, 81, 2543, 26, 6933, 30, 1623, 711, 324, 442, 9011, 26, 1094, 32, 2888, 30, 1623, 32, 8884, 81, 2888, 30, 1115, 2665, 1162, 93, 30, 354, 26, 1094, 490, 436, 831, 30, 354, 328, 11758, 32, 40957, 5156, 291, 477, 16099, 291, 665, 622, 81, 1816, 26, 1094, 711, 324, 442, 1623, 32, 2888, 291, 477, 16099, 291, 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 ]
[ 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 9, 8, 9, 9, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 9, 10, 8, 9, 7, 8, 8, 8, 8, 7, 8, 7, 7, 8, 9, 9, 8, 8, 10, 11, 11, 11, 10, 12, 11, 12, 10, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 10, 11, 9, 10, 10, 10, 8, 9, 9, 9, 8, 12, 11, 12, 10, 11, 9, 10, 9, 7, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 6, 6, 8, 9, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 6, 6, 6, 6, 5, 5, 6, 5, 5, 6, 6, 6, 5, 4, 6, 6, 6, 6, 5, 5, 6, 5, 5, 6, 6, 6, 5, 3, 3, 5, 7, 7, 7, 6, 6, 7, 7, 7, 5, 5, 5, 7, 9, 4, 4, 5, 7, 7, 7, 6, 6, 8, 7, 7, 8, 6, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 6, 5, 5, 3, 3, 5, 7, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 6, 5, 5, 6, 6, 6, 5, 4, 6, 6, 6, 6, 5, 5, 6, 5, 5, 6, 6, 6, 5, 4, 6, 5, 5, 3, 3, 5, 7, 7, 7, 6, 6, 7, 7, 7, 5, 5, 5, 7, 9, 4, 4, 5, 8, 7, 7, 8, 6, 6, 7, 7, 7, 2, 2, 3, 4, 5, 4, 4, 6, 5, 5, 5, 4, 6, 5, 5, 3, 3, 5, 6, 6, 5, 5, 5, 7, 8, 5, 5, 6, 7, 7, 6, 6, 6, 8, 9, 5, 5, 6, 6, 6, 8, 10, 2, 2, 3, 4, 5, 4, 4, 6, 5, 5, 5, 4, 6, 5, 5, 3, 3, 5, 6, 6, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 10, 10, 8, 10, 10, 7, 7, 9, 10, 9, 4, 4, 7, 5, 5, 6, 7, 7, 7, 8, 7, 7, 8, 8, 7, 6, 6, 8, 10, 11, 11, 11, 10, 10, 11, 11, 10, 10, 13, 13, 15, 14, 14, 15, 14, 13, 14, 14, 14, 13, 4, 4, 7, 5, 5, 6, 7, 7, 7, 8, 7, 7, 7, 6, 6, 8, 10, 12, 11, 12, 10, 10, 11, 12, 12, 12, 10, 10, 13, 13, 15, 14, 14, 16, 17, 16, 13, 14, 15, 15, 14, 14, 16, 17, 16, 4, 4, 7, 5, 5, 6, 7, 7, 7, 8, 7, 6, 6, 8, 9, 10, 4, 4, 7, 5, 5 ]
[ 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 3, 3, 1, 1, 2, 0, 0, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 3, 3, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 4, 4, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 5, 5, 3, 2, 1, 1, 1, 1, 5, 5, 3, 5, 5, 5, 5, 5, 5, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 4, 4, 4, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 5, 5, 2, 2, 0, 0, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 1, 1, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1, 5, 5, 3, 5, 5, 5, 5, 5, 5, 2, 1, 7, 7, 3, 3, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 4, 4, 4, 2, 1, 2, 2, 1, 3, 3, 3, 2, 1, 5, 5, 4, 4, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 4, 1, 1, 4, 4, 4, 0, 1, 0, 0, 5, 5, 5, 0, 1, 4, 4, 5, 2, 1, 2, 2, 1, 3, 3, 3, 2, 1, 5, 5, 5, 5, 0, 1, 1, 4, 4, 1, 0, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 2, 2, 2, 1, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 4, 4, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 1, 4, 4 ]
[ 465, 17735, 37, 203, 823, 6431, 44, 284, 665, 1156, 1664, 3207, 784, 30, 816, 30, 533, 711, 291, 630, 32, 106, 30, 630, 32, 107, 280, 816, 30, 533, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 313, 7846, 88, 35782, 88, 4731, 904, 308, 784, 32, 106, 30, 630, 32, 107, 27, 203, 589, 15933, 81, 1493, 26, 1493, 711, 284, 442, 2884, 23, 88, 35782, 88, 20, 904, 308, 1493, 32, 106, 30, 2260, 32, 107, 3427, 4434, 463, 14510, 683, 203, 589, 4483, 81, 1493, 26, 101, 711, 284, 816, 30, 533, 280, 1149, 26, 1110, 26, 1808, 30, 309, 32, 2998, 26, 84, 866, 14036, 284, 442, 6431, 26, 106, 30, 533, 27, 203, 14107, 37, 32, 3317, 81, 8713, 26, 1943, 30, 15933, 81, 1493, 27, 203, 14107, 37, 32, 3317, 81, 13956, 440, 1493, 392, 4483, 81, 1493, 27, 203, 98, 280, 6431, 26, 38, 32, 34, 30, 429, 37, 32, 36, 27, 203, 468, 280, 17735, 37, 32, 3517, 17919, 5566, 9318, 11140, 81, 2516, 47, 14107, 37, 32, 30744, 81, 7549, 15630, 27, 203, 1537, 280, 457, 32, 7017, 346, 203, 1537, 32, 4526, 440, 1297, 1858, 894, 26, 98, 2260, 14451, 203, 1537, 32, 4526, 440, 3215, 1991, 894, 26, 98, 27, 2078, 37425, 5715, 308, 98, 33702, 203, 1537, 32, 4526, 440, 1613, 298, 645, 894, 657, 203, 1216, 440, 1793, 17103, 3738, 9318, 2738, 32, 5140, 658, 8532, 34, 1130, 203, 1537, 32, 2679, 346, 203, 468, 32, 2679, 346, 203, 468, 280, 17735, 37, 32, 3517, 17919, 5566, 9318, 11140, 81, 2516, 47, 14107, 37, 32, 30744, 81, 4050, 8356, 27, 203, 1537, 280, 457, 32, 7017, 346, 203, 1537, 32, 4526, 440, 1297, 1858, 894, 26, 98, 14451, 203, 1537, 32, 4526, 440, 3215, 1991, 894, 26, 98, 27, 2078, 37425, 5715, 308, 98, 33702, 203, 1537, 32, 4526, 463, 1613, 298, 619, 313, 98, 428, 1493, 12032, 645, 894, 683, 203, 1216, 440, 1793, 2623, 4467, 9318, 2738, 32, 5140, 658, 8532, 34, 1130, 203, 1537, 32, 2679, 346, 203, 468, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 9, 7, 7, 8, 9, 6, 6, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 6, 6, 9, 8, 9, 7, 7, 8, 9, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 9, 9, 9, 9, 9, 7, 7, 10, 9, 10, 8, 8, 9, 10, 8, 6, 5, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 8, 8, 9, 8, 8, 10, 11, 10, 12, 12, 12, 2, 2, 3, 5, 6, 5, 5, 5, 0, 4, 4, 3, 4, 4, 4, 3, 4, 3, 3, 4, 4, 3, 0, 4, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 4, 3, 0, 3, 2, 2, 4, 5, 5, 5, 4, 4, 6, 6, 6, 4, 0, 3, 2, 2, 5, 4, 5, 4, 6, 6, 4, 6, 6, 5, 7, 7, 6, 7, 7, 7, 7, 4, 0, 3, 2, 2, 4, 5, 4, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 0, 3, 3, 5, 5, 5, 5, 3, 6, 7, 7, 6, 5, 4, 0, 4, 3, 4, 3, 0, 4, 3, 4, 3, 0, 3, 2, 2, 5, 4, 5, 4, 6, 6, 4, 6, 6, 5, 7, 7, 6, 7, 7, 7, 7, 4, 0, 3, 2, 2, 4, 5, 4, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 5, 5, 5, 5, 3, 6, 7, 7, 6, 5, 4, 0, 4, 3, 4, 3, 0, 4, 3, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 3, 3, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 2, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 3, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 3, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 3, 0, 0, 0, 2, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 5053, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 370, 528, 330, 4519, 81, 1648, 950, 330, 35, 32, 35, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 27474, 3945, 81, 22012, 2215, 81, 3550, 203, 4021, 81, 2310, 44, 15091, 624, 927, 16809, 4070, 328, 36101, 13246, 1182, 36101, 15886, 461, 36101, 91, 18309, 32, 203, 2310, 44, 284, 429, 1348, 2297, 438, 5300, 372, 8488, 312, 36101, 91, 18309, 556, 36101, 15886, 308, 37435, 27, 3298, 810, 18081, 322, 397, 1256, 372, 739, 461, 5351, 341, 278, 2215, 2787, 461, 4070, 6215, 32, 397, 15950, 2305, 1169, 3377, 461, 2078, 1849, 372, 526, 30198, 372, 19634, 2114, 2670, 6886, 32, 397, 27859, 623, 506, 2636, 354, 40, 32, 34, 32, 39, 203, 1648, 81, 11043, 44, 313, 36, 32, 42, 20, 203, 2116, 44, 284, 429, 488, 365, 8335, 2244, 17691, 488, 17681, 108, 11931, 47356, 17681, 108, 7059, 108, 1552, 108, 27, 284, 429, 489, 18658, 302, 34963, 11931, 349, 418, 33894, 27, 203, 8886, 44, 284, 429, 33242, 27474, 3945, 1237, 4253, 18909, 810, 36101, 13246, 284, 429, 4489, 619, 312, 2196, 81, 1141, 328, 1370, 4654, 2609, 203, 15965, 44, 284, 429, 27474, 3945, 1237, 7148, 34, 32, 43, 32, 42, 203, 2184, 44, 284, 3408, 44, 291, 3048, 44, 324, 429, 36101, 15886, 556, 36101, 91, 18309, 4600, 2965, 32, 291, 827, 44, 596, 291, 2129, 44, 901, 284, 952, 44, 291, 3048, 44, 324, 429, 36101, 15886, 556, 36101, 91, 18309, 952, 32, 291, 827, 44, 596, 291, 2129, 44, 901, 284, 3882, 44, 291, 3048, 44, 324, 429, 36101, 15886, 556, 36101, 91, 18309, 3882, 32, 291, 827, 44, 596, 291, 1244, 44, 3330, 284, 354, 4722, 44, 291, 3048, 44, 324, 429, 13662, 5880, 30, 17660, 5521, 3417, 12916, 32, 399, 354, 4722, 438, 312, 1090, 3501, 1980, 432, 322, 36101, 91, 18309, 688, 883, 526, 9577, 461, 1090, 1654, 619, 312, 3449, 4201, 32, 291, 827, 44, 596, 291, 1244, 44, 3051, 284, 1678, 44, 291, 3048, 44, 324, 429, 25444, 415, 322, 5167, 22057, 36101, 91, 18309, 2298, 793, 24859, 7079, 32, 291, 827, 44, 1560, 291, 1244, 44, 861, 284, 17778, 81, 6967, 44, 291, 3048, 44, 324, 429, 14045, 3009, 36101, 91, 18309, 10282, 2298, 526, 20442, 810, 312, 7240, 10556, 32, 291, 827, 44, 1560, 291, 1244, 44, 861, 291, 1503, 81, 11043, 44, 225, 36, 32, 43, 284, 341, 278, 2215, 81, 3550, 44, 291, 3048, 44, 324, 429, 15091, 624, 927, 16809, 4070, 32, 291, 1244, 44, 744, 291, 827, 44, 5436, 291, 1361, 2184, 44, 324, 2267, 81, 14268, 81, 12124, 44, 400, 3048, 44, 528, 429, 7984, 13879, 17240, 1654, 328, 29403, 7528, 35723, 993, 32, 400, 827, 44, 596, 400, 16682, 44, 528, 429, 4281, 528, 429, 5839, 31, 2403, 31, 5243, 324, 3408, 81, 314 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 2, 2, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 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 ]
[ 465, 2322, 203, 465, 27374, 203, 1070, 281, 6771, 14459, 6591, 1188, 17048, 1335, 30, 8735, 39, 203, 1070, 281, 6771, 14459, 6591, 32, 1262, 32, 1567, 1188, 1015, 1151, 30, 8379, 1151, 30, 8379, 1151, 2981, 203, 1070, 281, 6771, 14459, 6591, 32, 1262, 32, 8774, 32, 8644, 1188, 372, 14923, 203, 1070, 281, 6771, 14459, 6591, 32, 1262, 32, 8774, 32, 4502, 1188, 622, 2725, 203, 1070, 281, 6771, 14459, 6591, 32, 1262, 32, 5558, 32, 1439, 1188, 11028, 203, 465, 18792, 203, 751, 280, 17048, 1335, 4064, 426, 8223, 203, 823, 9821, 1761, 26, 4152, 711, 284, 617, 681, 280, 1665, 284, 665, 3219, 620, 26, 784, 711, 291, 1015, 1151, 463, 3435, 32, 2516, 370, 630, 32, 10272, 27, 284, 665, 24115, 26, 784, 711, 291, 442, 630, 1114, 681, 284, 665, 1487, 1484, 7371, 26, 784, 30, 7444, 81, 314, 711, 291, 665, 47031, 2262, 324, 1596, 44, 400, 7444, 280, 8379, 1151, 463, 3435, 32, 371, 370, 7444, 81, 314, 30, 3982, 280, 2933, 27, 400, 415, 7444, 44, 528, 1692, 81, 426, 280, 6611, 101, 32, 1903, 265, 32, 6270, 25, 904, 7444, 32, 371, 463, 681, 683, 528, 8379, 1151, 2981, 26, 1567, 81, 426, 30, 7444, 30, 544, 81, 5898, 280, 630, 32, 1297, 11606, 10112, 26, 3435, 81, 314, 471, 13244, 280, 2933, 27, 324, 2940, 44, 400, 1245, 32, 731, 463, 5288, 6892, 47031, 44, 904, 101, 370, 27374, 32, 1643, 81, 14806, 1157, 291, 442, 47031, 284, 665, 1487, 11606, 10112, 26, 784, 30, 7444, 81, 314, 711, 291, 665, 11748, 10112, 2262, 324, 1596, 44, 400, 7444, 280, 8379, 1151, 463, 3435, 32, 371, 370, 7444, 81, 314, 30, 3982, 280, 2933, 27, 400, 415, 7444, 44, 528, 1692, 81, 426, 280, 6611, 101, 32, 1877, 25, 904, 7444, 32, 371, 463, 681, 683, 528, 8379, 1151, 463, 9353, 32, 12711, 370, 827, 280, 1692, 81, 426, 30, 706, 280, 7444, 27, 324, 2940, 44, 400, 1245, 32, 731, 463, 5288, 6892, 47031, 44, 904, 101, 370, 27374, 32, 1643, 81, 14806, 1157, 291, 442, 11748, 10112, 284, 665, 23937, 3173, 26, 784, 30, 3099, 30, 1244, 81, 1311, 280, 1665, 711, 291, 1244, 81, 1311, 280, 1244, 81, 1311, 415, 1244, 81, 1311, 813, 372, 14923, 26, 1338, 32, 371, 463, 1311, 2847, 291, 27840, 280, 3099, 32, 371, 463, 23179, 370, 11544, 291, 7022, 280, 225, 34, 291, 665, 81, 1311, 280, 1665, 291, 436, 1780, 328, 27840, 44, 324, 415, 308, 1657, 26, 1536, 81, 1311, 27, 610, 225, 34, 461, 7022, 610, 225, 34, 27, 556, 2069, 26, 23179, 27, 610, 225, 35, 556, 1780, 32, 5729, 346, 610, 372, 14923, 26, 1536, 81, 1311, 32, 5729, 1157, 556, 308, 452, 14923, 26, 1536, 81, 1311, 27, 610, 18792, 32, 103, 25416, 461, 372, 14923, 26, 23179, 77, 34, 1130, 610, 1780, 711, 400, 665, 81, 1311, 280, 372, 14923, 26, 1311, 27, 400, 1626, 324, 7022, 1454, 225, 35, 291, 415, 646, 665, 81, 1311, 461, 27840, 461, 2069, 26, 23179, 27, 848, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 4, 5, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 9, 9, 9, 9, 7, 8, 9, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 6, 5, 5, 7, 7, 7, 10, 10, 12, 12, 14, 14, 14, 14, 12, 13, 13, 12, 12, 13, 13, 12, 8, 8, 9, 9, 9, 9, 13, 13, 12, 12, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 16, 15, 17, 17, 10, 10, 13, 13, 13, 14, 14, 14, 13, 13, 13, 13, 15, 15, 14, 14, 16, 17, 17, 17, 16, 17, 17, 17, 16, 13, 14, 14, 13, 7, 7, 8, 8, 8, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 12, 14, 15, 15, 15, 14, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 6, 6, 5, 5, 7, 7, 7, 10, 10, 12, 12, 14, 14, 14, 14, 12, 13, 13, 12, 12, 13, 13, 12, 8, 8, 9, 9, 9, 9, 13, 13, 12, 12, 15, 15, 15, 15, 13, 13, 15, 16, 15, 17, 17, 10, 10, 13, 13, 15, 15, 15, 15, 13, 14, 14, 15, 15, 13, 13, 14, 14, 13, 7, 7, 8, 8, 8, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 12, 14, 15, 15, 15, 14, 4, 4, 5, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 7, 7, 8, 8, 7, 7, 9, 9, 12, 11, 12, 11, 13, 13, 4, 4, 6, 6, 8, 9, 8, 10, 10, 8, 4, 4, 6, 6, 7, 4, 4, 7, 7, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 7, 15, 15, 16, 16, 16, 15, 13, 13, 14, 12, 12, 13, 13, 14, 11, 10, 10, 13, 14, 13, 11, 11, 12, 9, 9, 12, 13, 12, 10, 10, 12, 12, 15, 15, 15, 14, 15, 14, 8, 8, 13, 13, 13, 14, 14, 14, 13, 11, 11, 13, 14, 13, 10, 10, 13, 13, 15, 14, 15, 14, 11, 11, 9, 7, 7, 11, 11, 10, 10, 12, 12, 13, 12, 8, 8, 6, 6, 8, 8, 9, 4, 4, 5, 8, 9, 9, 7, 7, 6, 6, 9, 10, 9, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 0, 0, 0, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 5, 5, 0, 0, 0, 1, 2, 1, 4, 1, 6, 5, 5, 0, 0, 6, 6, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 0, 7, 7, 0, 0, 0, 0, 0, 1, 1, 1, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 0, 0, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 3, 2, 3, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 5, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 5, 5, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 7, 7, 1, 0, 0, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 4, 4, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 5, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 2, 1, 3, 3, 2, 2, 1, 1, 5, 5, 1, 0, 0, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 4, 4, 1, 1, 4, 4, 5, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 5, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 5, 5, 0, 0, 2, 4, 4, 5, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2 ]
[ 465, 5237, 203, 3731, 32, 983, 32, 1689, 4207, 3381, 33, 6074, 33, 100, 12699, 657, 203, 1070, 973, 36, 770, 81, 1580, 1188, 540, 12699, 1582, 203, 1070, 973, 36, 770, 81, 1580, 1188, 540, 12699, 1582, 7885, 203, 1070, 973, 36, 770, 81, 1580, 1188, 973, 36, 770, 7352, 203, 465, 25630, 203, 1070, 25630, 1188, 3962, 1525, 203, 465, 40946, 203, 81, 280, 9254, 816, 44, 40946, 32, 1381, 33170, 440, 100, 12699, 31, 1580, 31, 4280, 392, 816, 27, 203, 22589, 32, 1843, 1525, 32, 2539, 878, 4116, 440, 100, 12699, 31, 1580, 31, 4280, 657, 203, 1070, 1932, 3608, 32, 1647, 1188, 7703, 203, 1070, 1932, 3608, 32, 9777, 1188, 319, 203, 823, 2297, 1339, 26, 2459, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 7703, 3667, 1664, 3207, 784, 27, 291, 630, 32, 9786, 280, 225, 35, 34, 40, 32, 39, 291, 630, 32, 8937, 3173, 280, 26155, 21052, 4226, 657, 291, 630, 32, 1311, 280, 26155, 21052, 4226, 657, 291, 630, 32, 3592, 81, 1745, 280, 3177, 291, 630, 32, 17089, 1745, 4077, 280, 2933, 284, 665, 5652, 4711, 26, 784, 711, 291, 442, 2933, 284, 665, 4871, 26, 784, 30, 2568, 30, 6325, 47, 2700, 711, 291, 415, 6325, 44, 324, 442, 20336, 81, 6685, 291, 415, 630, 32, 3592, 81, 1745, 766, 324, 461, 646, 630, 32, 17381, 2059, 1969, 32, 17381, 2059, 4397, 32, 371, 81, 3854, 440, 28561, 1714, 1895, 371, 81, 2480, 346, 766, 324, 461, 646, 630, 32, 17381, 2059, 1969, 32, 17381, 2059, 4397, 32, 371, 81, 3854, 440, 101, 28395, 1714, 1895, 371, 81, 2480, 2262, 400, 595, 280, 225, 34, 400, 2218, 646, 2568, 32, 1647, 720, 77, 91, 997, 505, 1647, 9818, 15990, 463, 17089, 1745, 81, 7831, 528, 595, 1454, 225, 35, 400, 2568, 32, 23070, 1969, 26, 45061, 47, 91, 27, 400, 630, 32, 17089, 1745, 4077, 280, 2933, 400, 442, 20336, 81, 45892, 291, 1596, 44, 324, 630, 32, 17089, 1745, 4077, 280, 3177, 324, 415, 630, 32, 17381, 2059, 1969, 32, 17381, 2059, 1969, 9903, 346, 438, 3177, 44, 400, 2568, 32, 23070, 1969, 26, 1647, 3173, 11645, 440, 4023, 30006, 10653, 2131, 400, 442, 20336, 81, 45892, 324, 813, 44, 400, 442, 20336, 81, 13310, 291, 2940, 973, 36, 770, 7352, 32, 1706, 7257, 4932, 10570, 5288, 924, 44, 324, 2568, 32, 23070, 1969, 26, 1647, 3173, 11645, 440, 15277, 22618, 2131, 324, 442, 20336, 81, 45892, 284, 665, 1487, 4615, 26, 784, 711, 291, 630, 32, 17381, 2059, 1969, 280, 540, 12699, 1582, 7885, 32, 21052, 2059, 1969, 346, 291, 630, 32, 104, 1501, 280, 25630, 32, 72, 1705, 26, 10316, 47, 39, 27, 291, 630, 32, 104, 1501, 32, 2423, 81, 1366, 26, 784, 32, 17381, 2059, 1969, 32, 17381, 2059, 1969, 72, 1501, 1026, 2933, 30, 2933, 27, 291, 415, 5237, 32, 3477, 32, 2040, 81, 678, 463, 17089, 1745, 81, 3615, 7831, 324, 630, 32, 3592, 81, 1745, 280, 2933, 324, 630, 32, 17089, 1745, 1714, 280, 630, 32, 17381, 2059, 1969, 32, 17381, 2059 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 5, 4, 5, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 0, 3, 2, 2, 3, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 0, 5, 4, 5, 5, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 10, 10, 10, 4, 4, 7, 8, 6, 6, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 5, 5, 5, 7, 8, 8, 4, 4, 5, 8, 9, 9, 9, 7, 8, 7, 7, 8, 14, 15, 15, 15, 13, 14, 14, 14, 12, 13, 13, 13, 12, 14, 14, 14, 11, 11, 11, 10, 6, 7, 6, 6, 7, 13, 14, 14, 14, 12, 13, 13, 13, 11, 12, 12, 12, 11, 13, 13, 13, 13, 10, 10, 10, 9, 5, 5, 8, 8, 9, 6, 6, 7, 8, 13, 14, 14, 12, 13, 12, 12, 12, 12, 11, 10, 12, 12, 12, 12, 7, 7, 10, 10, 11, 6, 6, 9, 10, 10, 9, 11, 10, 11, 9, 6, 6, 9, 10, 10, 10, 8, 8, 6, 6, 7, 8, 8, 4, 4, 5, 5, 5, 9, 10, 10, 10, 8, 8, 6, 6, 7, 11, 12, 12, 12, 10, 11, 11, 11, 11, 10, 8, 8, 7, 7, 7, 11, 12, 12, 11, 13, 13, 12, 14, 16, 16, 16, 16, 8, 8, 9, 10, 10, 7, 7, 8, 8, 8, 10, 11, 11, 5, 5, 6, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 6, 6, 6, 10, 11, 11, 10, 12, 12, 11, 13, 15, 15, 15, 7, 7, 8, 9, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 8, 10, 9, 10, 8, 4, 4, 8, 9, 9, 7, 8, 8, 8, 7, 11, 10, 11, 11, 11, 9, 10, 10, 10, 10, 10, 9, 7, 7, 7, 7, 4, 4, 5, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 5, 5, 9, 10, 10, 10, 8, 8, 6, 6, 9, 10, 10, 10, 8, 8, 12, 13, 13, 13, 11, 12, 12 ]
[ 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 5, 5, 0, 6, 6, 6, 6, 0, 0, 7, 7, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 10, 10, 0, 1, 2, 10, 10, 0, 11, 11, 0, 1, 2, 11, 11, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 4, 4, 2, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 4, 4, 1, 0, 2, 2, 2, 0, 1, 0, 0, 3, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 3, 3, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 3, 3, 0, 2, 2, 1, 0, 1, 2, 1, 3, 3, 0, 2, 2, 2, 0, 0, 3, 3, 4, 1, 1, 4, 4, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 4, 4, 4, 0, 1, 1, 2, 2, 3, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 0, 0, 3, 3, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2 ]
[ 505, 464, 505, 280, 2107, 101, 2593, 370, 330, 101, 2593, 81, 452, 81, 800, 785, 203, 589, 18548, 81, 466, 26, 101, 30, 7328, 1057, 3310, 31, 42, 370, 3878, 1057, 5848, 7831, 284, 415, 646, 6937, 26, 101, 30, 1695, 800, 711, 291, 1596, 44, 324, 442, 596, 26, 101, 27, 291, 2940, 23174, 10807, 924, 44, 324, 442, 15390, 26, 101, 547, 4434, 26, 8644, 30, 3878, 27, 284, 4348, 6937, 26, 101, 30, 15390, 711, 291, 442, 309, 32, 4434, 26, 8644, 30, 3878, 27, 284, 4348, 309, 461, 7328, 863, 330, 3310, 31, 42, 950, 291, 442, 309, 32, 5460, 463, 3310, 31, 42, 370, 3878, 547, 4434, 26, 8644, 30, 3878, 27, 284, 813, 44, 291, 442, 309, 203, 589, 15358, 26, 101, 711, 284, 34210, 280, 5053, 20, 950, 15441, 2462, 22606, 1090, 15441, 950, 15441, 757, 22606, 1090, 4145, 950, 15441, 2159, 22606, 1090, 32041, 950, 15441, 1837, 45, 6040, 284, 442, 35617, 2524, 2009, 38565, 32, 371, 26, 85, 30, 85, 27, 436, 281, 328, 309, 1130, 203, 589, 309, 2593, 81, 452, 81, 800, 26, 3385, 711, 284, 415, 646, 6937, 26, 3385, 30, 1149, 711, 291, 442, 18548, 81, 466, 26, 7345, 26, 3385, 490, 284, 4134, 280, 9810, 77, 34, 79, 284, 2181, 280, 428, 101, 2593, 81, 452, 81, 800, 26, 626, 27, 436, 1638, 328, 9810, 77, 35, 46017, 284, 442, 18548, 81, 466, 26, 2989, 26, 1132, 490, 203, 823, 309, 2593, 44, 284, 665, 1156, 32110, 3207, 784, 30, 5601, 711, 291, 665, 617, 1545, 26, 93, 711, 324, 1858, 280, 5053, 23321, 950, 330, 823, 6040, 324, 442, 1858, 32, 371, 26, 93, 30, 831, 27, 291, 665, 2604, 2740, 102, 1132, 30, 1115, 4124, 711, 324, 665, 2908, 26, 1132, 711, 400, 442, 2726, 12692, 101, 23, 101, 28093, 101, 377, 23, 101, 6457, 715, 904, 308, 2437, 30, 6029, 35617, 2524, 4901, 904, 101, 28664, 101, 14891, 904, 4638, 1545, 26, 93, 471, 15358, 26, 104, 490, 1891, 436, 831, 30, 354, 328, 8556, 32, 3028, 346, 5727, 6029, 3228, 96, 2473, 2524, 26, 1132, 471, 6029, 5601, 490, 324, 2908, 3667, 426, 505, 280, 5601, 324, 415, 273, 1132, 44, 400, 442, 2908, 26, 102, 1132, 77, 34, 1130, 324, 813, 44, 400, 442, 2908, 291, 2604, 3667, 426, 505, 280, 5601, 4456, 442, 2604, 203, 101, 2593, 280, 309, 2593, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 5, 5, 5, 5, 2, 3, 5, 5, 1, 1, 3, 4, 6, 7, 6, 6, 7, 6, 3, 3, 5, 5, 5, 7, 9, 10, 9, 5, 5, 6, 7, 7, 6, 6, 6, 8, 12, 13, 12, 11, 10, 11, 10, 10, 10, 3, 3, 4, 6, 7, 6, 6, 6, 4, 4, 6, 8, 9, 8, 9, 8, 8, 8, 3, 3, 4, 5, 5, 6, 6, 8, 8, 8, 8, 4, 4, 6, 10, 11, 10, 12, 12, 12, 12, 10, 10, 9, 8, 9, 8, 8, 8, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 8, 8, 6, 8, 8, 5, 5, 8, 6, 8, 8, 5, 5, 8, 6, 8, 8, 5, 5, 8, 6, 8, 8, 8, 2, 2, 3, 6, 5, 9, 8, 9, 8, 9, 8, 9, 8, 6, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 6, 7, 6, 6, 6, 3, 3, 5, 7, 7, 7, 9, 9, 10, 9, 2, 2, 4, 4, 5, 6, 5, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 7, 8, 7, 5, 6, 6, 6, 7, 9, 8, 2, 2, 3, 5, 5, 5, 7, 7, 8, 7, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 6, 5, 5, 8, 8, 12, 12, 10, 12, 12, 6, 6, 7, 9, 10, 9, 10, 9, 9, 9, 4, 4, 5, 6, 8, 8, 6, 6, 8, 6, 5, 5, 7, 8, 9, 8, 7, 7, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 11, 13, 12, 12, 12, 15, 14, 18, 18, 18, 18, 18, 16, 16, 19, 19, 20, 19, 17, 19, 20, 19, 15, 15, 16, 17, 17, 16, 16, 18, 19, 18, 15, 12, 12, 17, 16, 15, 14, 15, 14, 12, 12, 12, 6, 6, 9, 10, 10, 8, 8, 6, 6, 7, 8, 7, 7, 7, 9, 11, 13, 13, 12, 13, 12, 7, 7, 8, 8, 8, 10, 4, 4, 7, 8, 8, 6, 6, 4, 4, 5, 0, 3, 3, 2, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 3, 1, 1, 1, 2, 2, 5, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 5, 1, 1, 2, 2, 1, 1, 1, 2, 5, 5, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 6, 6, 6, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 3, 1, 1, 2, 2, 2, 5, 1, 1, 2, 2, 2, 7, 1, 1, 2, 4, 4, 1, 2, 1, 0, 0, 2, 1, 1, 1, 3, 1, 1, 2, 2, 2, 1, 0, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 0, 2, 4, 4, 3, 0, 0, 1, 0, 1, 1, 1, 0, 4, 4, 1, 4, 4, 4, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 4, 4, 4, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 3089, 749, 98, 32, 500, 104, 1188, 337, 2269, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 823, 3497, 81, 1500, 81, 928, 26, 500, 104, 32, 500, 104, 711, 284, 617, 6815, 280, 313, 3524, 32, 1500, 32, 928, 20, 284, 665, 1628, 36, 8914, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 11837, 81, 681, 47, 2521, 30, 1619, 47, 2521, 711, 291, 11837, 81, 2816, 81, 2067, 280, 630, 32, 5178, 32, 371, 463, 7948, 32, 2816, 683, 291, 1628, 36, 8914, 280, 2149, 291, 415, 646, 9668, 44, 324, 442, 2149, 291, 15507, 81, 681, 280, 11837, 81, 2816, 81, 2067, 32, 37408, 444, 81, 8914, 81, 2516, 26, 2446, 30, 12373, 30, 11837, 81, 681, 30, 400, 1619, 47, 1819, 27, 291, 436, 1628, 328, 630, 32, 14304, 26, 2446, 30, 12373, 30, 9668, 30, 1619, 47, 1819, 711, 324, 1628, 36, 8914, 77, 928, 32, 314, 79, 280, 3177, 324, 415, 1628, 32, 10969, 461, 1628, 32, 10969, 32, 15699, 81, 8914, 81, 314, 44, 400, 1628, 36, 8914, 77, 928, 32, 314, 79, 280, 1628, 32, 10969, 32, 15699, 81, 8914, 81, 314, 32, 314, 324, 4348, 1628, 32, 15699, 81, 314, 44, 400, 415, 646, 1628, 32, 15699, 81, 314, 32, 8914, 81, 3631, 44, 528, 1628, 36, 8914, 77, 928, 32, 314, 79, 280, 3177, 400, 813, 44, 528, 436, 15507, 328, 1628, 32, 15699, 81, 314, 32, 8914, 81, 3631, 44, 715, 415, 15507, 32, 1293, 328, 15507, 81, 681, 44, 1014, 1628, 36, 8914, 77, 928, 32, 314, 79, 280, 15507, 32, 314, 1014, 1626, 400, 415, 1628, 32, 314, 646, 328, 1628, 36, 8914, 461, 1628, 32, 15699, 81, 314, 32, 8914, 81, 3631, 44, 528, 1628, 36, 8914, 77, 928, 32, 314, 79, 280, 1628, 32, 15699, 81, 314, 32, 8914, 81, 3631, 77, 34, 997, 314, 324, 813, 44, 400, 3636, 337, 2269, 32, 7343, 81, 500, 104, 2176, 463, 924, 19, 1425, 30121, 8309, 438, 1289, 25253, 3417, 544, 322, 3414, 1628, 32, 2847, 291, 442, 1628, 36, 8914, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 4, 4, 5, 6, 5, 5, 5, 7, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 8, 9, 9, 8, 8, 8, 9, 10, 8, 4, 4, 5, 5, 5, 7, 8, 7, 8, 7, 7, 7, 7, 7, 7, 8, 9, 7, 5, 5, 10, 10, 9, 11, 10, 11, 9, 8, 8, 6, 6, 7, 9, 10, 8, 8, 10, 11, 9, 10, 10, 10, 10, 10, 7, 7, 7, 12, 12, 11, 13, 12, 13, 11, 10, 10, 13, 14, 12, 13, 13, 13, 13, 13, 11, 12, 7, 7, 8, 9, 10, 10, 10, 8, 8, 8, 10, 11, 13, 14, 14, 14, 12, 13, 13, 13, 10, 10, 10, 15, 15, 14, 16, 15, 16, 14, 13, 13, 10, 10, 11, 11, 11, 13, 13, 13, 15, 16, 16, 16, 14, 15, 15, 15, 13, 13, 13, 15, 17, 18, 16, 16, 17, 17, 15, 15, 15, 20, 20, 19, 21, 20, 21, 19, 18, 18, 19, 20, 16, 16, 9, 9, 10, 13, 14, 12, 12, 12, 13, 13, 11, 11, 13, 14, 14, 14, 12, 13, 13, 13, 10, 10, 10, 15, 15, 14, 16, 15, 16, 14, 13, 13, 17, 18, 18, 18, 16, 17, 17, 17, 15, 16, 15, 15, 7, 7, 8, 8, 8, 10, 13, 12, 13, 13, 13, 13, 12, 14, 16, 16, 16, 12, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 4, 4, 5, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 11, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 2, 1, 2, 2, 2, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 7, 2, 1, 4, 4, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 5, 5, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 1, 2, 2, 2, 4, 4, 4, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 3, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 3, 3, 3, 3, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 5, 5, 5, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 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 ]
[ 823, 20257, 44, 284, 1181, 280, 3228, 42017, 34, 34, 34, 25, 284, 45092, 280, 3228, 42017, 34, 34, 35, 25, 284, 37884, 66, 280, 3228, 42017, 34, 34, 36, 25, 284, 34503, 81, 13184, 280, 3228, 42017, 34, 34, 37, 25, 284, 30307, 280, 3228, 42017, 34, 34, 38, 25, 284, 48667, 280, 3228, 42017, 34, 34, 39, 25, 284, 18546, 280, 3228, 42017, 34, 34, 40, 25, 284, 39164, 280, 3228, 42017, 34, 34, 41, 25, 284, 32853, 280, 3228, 42017, 34, 34, 42, 25, 284, 17789, 81, 9640, 280, 3228, 42017, 34, 34, 42, 25, 284, 14678, 30942, 280, 3228, 42017, 34, 34, 43, 25, 284, 17789, 81, 11422, 280, 3228, 42017, 34, 34, 43, 25, 284, 21155, 280, 3228, 42017, 34, 34, 51, 25, 284, 17789, 81, 27499, 280, 3228, 42017, 34, 34, 51, 25, 284, 23132, 4855, 280, 3228, 42017, 34, 34, 52, 25, 284, 44869, 34534, 280, 3228, 42017, 34, 34, 53, 25, 284, 40074, 280, 3228, 42017, 34, 34, 54, 25, 284, 20944, 81, 2418, 280, 3228, 42017, 34, 34, 55, 25, 284, 20944, 81, 10445, 280, 3228, 42017, 34, 34, 56, 25, 284, 7082, 280, 3228, 42017, 34, 35, 34, 25, 284, 43838, 280, 3228, 42017, 34, 35, 35, 25, 284, 17789, 280, 3228, 42017, 34, 35, 36, 25, 284, 5471, 9317, 81, 10765, 280, 3228, 42017, 34, 35, 36, 25, 284, 10161, 280, 3228, 42017, 34, 35, 37, 25, 284, 5471, 9317, 81, 2418, 280, 3228, 42017, 34, 35, 37, 25, 284, 20169, 280, 3228, 42017, 34, 35, 38, 25, 284, 5471, 9317, 81, 6513, 280, 3228, 42017, 34, 35, 38, 25, 284, 29886, 280, 3228, 42017, 34, 35, 39, 25, 284, 5471, 9317, 81, 10445, 280, 3228, 42017, 34, 35, 39, 25, 284, 24535, 280, 3228, 42017, 34, 35, 40, 25, 284, 14803, 280, 3228, 42017, 34, 35, 41, 25, 284, 358, 4547, 1102, 1752, 567, 280, 3228, 42017, 34, 35, 42, 25, 284, 48902, 69, 280, 3228, 42017, 34, 35, 43, 25, 284, 29224, 1456, 1192, 34, 280, 3228, 42017, 34, 35, 51, 25, 284, 29224, 1456, 1192, 35, 280, 3228, 42017, 34, 35, 52, 25, 284, 29224, 1456, 1192, 36, 280, 3228, 42017, 34, 35, 53, 25, 284, 29224, 1456, 1192, 37, 280, 3228, 42017, 34, 35, 54, 25, 284, 29224, 1456, 1192, 38, 280, 3228, 42017, 34, 35, 55, 25, 284, 29224, 1456, 1192, 39, 280, 3228, 42017, 34, 35, 56, 25, 284, 29224, 1456, 1192, 40, 280, 3228, 42017, 34, 36, 34, 25, 284, 29224, 1456, 1192, 41, 280, 3228, 42017, 34, 36, 35, 25, 284, 29224, 1456, 1192, 42, 280, 3228, 42017, 34, 36, 36, 25, 284, 29224, 1456, 1192, 43, 280, 3228, 42017, 34, 36, 37, 25, 284, 30292, 19413, 280, 3228, 42017, 34, 36, 38, 25, 284, 8897, 280, 3228, 42017, 34, 36, 39, 25, 284, 5490, 4186, 7267, 280, 3228, 42017, 34, 36, 40, 25, 284, 10534, 8598, 280, 3228, 42017, 34, 36, 41, 25, 284, 24308, 24037, 280, 3228, 42017, 34, 36, 42, 25, 284, 40377, 8455, 280, 3228, 42017, 34, 36, 43 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 7, 7, 7, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 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, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 15390, 81, 30839, 203, 1070, 18792, 32, 21332, 1188, 22045, 203, 465, 309, 1226, 864, 704, 203, 1070, 309, 1226, 864, 704, 1188, 4082, 203, 1070, 309, 1226, 380, 728, 32, 4313, 32, 11452, 1188, 538, 203, 1270, 44, 284, 1188, 2361, 203, 7343, 29986, 44, 284, 1188, 4281, 1260, 619, 2361, 203, 823, 3182, 1889, 26, 1473, 711, 284, 665, 617, 9353, 81, 405, 1170, 26, 784, 30, 1474, 30, 3408, 47, 2521, 30, 2642, 1170, 81, 43025, 47, 2521, 711, 291, 415, 646, 3408, 44, 324, 3408, 280, 309, 1226, 864, 704, 32, 31341, 75, 81, 8472, 291, 415, 646, 2642, 1170, 81, 43025, 44, 324, 2642, 1170, 81, 43025, 280, 309, 1226, 864, 704, 32, 31341, 75, 81, 2554, 3307, 291, 1984, 280, 330, 525, 45268, 34, 3188, 405, 1170, 33, 16488, 33, 4191, 2473, 1643, 26, 2035, 27, 291, 2078, 280, 5053, 558, 950, 330, 69, 1226, 828, 728, 370, 330, 3234, 950, 1474, 30, 330, 39487, 950, 309, 1226, 864, 704, 32, 3602, 65, 81, 2413, 111, 291, 706, 280, 2361, 32, 16958, 26, 2810, 27, 291, 1596, 44, 324, 3616, 280, 22045, 32, 1357, 32, 1104, 26, 965, 30, 706, 27, 324, 3616, 32, 669, 81, 2111, 463, 74, 31, 4993, 9610, 31, 1763, 370, 2642, 1170, 81, 43025, 27, 324, 3616, 32, 669, 81, 2111, 463, 1777, 31, 620, 370, 330, 3164, 33, 1260, 683, 324, 1789, 280, 22045, 32, 1357, 32, 305, 33786, 26, 2403, 27, 324, 1056, 280, 1789, 32, 850, 346, 324, 1789, 32, 2679, 346, 324, 4082, 32, 751, 463, 31341, 75, 44, 4808, 1789, 44, 330, 474, 1056, 32, 3227, 9442, 96, 370, 12304, 4082, 32, 2897, 27, 324, 442, 2933, 291, 2940, 308, 39362, 32, 731, 32, 1263, 43189, 30, 45338, 27, 619, 484, 44, 324, 4082, 32, 751, 463, 31341, 75, 44, 16868, 44, 12619, 96, 6945, 102, 7260, 14873, 1170, 821, 330, 474, 1984, 474, 330, 330, 474, 538, 26, 87, 471, 4082, 32, 10431, 27, 324, 442, 3177, 284, 665, 894, 81, 9353, 26, 784, 30, 3408, 30, 2642, 1170, 81, 43025, 711, 291, 442, 630, 1114, 9353, 81, 405, 1170, 463, 2272, 438, 312, 894, 9196, 645, 358, 1226, 828, 728, 370, 3408, 30, 2642, 1170, 81, 43025, 27, 284, 665, 1974, 81, 5248, 26, 784, 30, 2519, 47, 2521, 711, 291, 415, 309, 1226, 864, 704, 32, 4855, 81, 31341, 75, 44, 324, 415, 646, 309, 1226, 864, 704, 32, 31341, 75, 81, 8472, 44, 400, 4082, 32, 751, 463, 31341, 75, 44, 3139, 3408, 3191, 30, 1505, 1370, 4070, 370, 4082, 32, 2897, 27, 400, 442, 3177, 324, 415, 2519, 44, 400, 415, 2519, 32, 42913, 610, 225, 35, 44, 528, 6887, 280, 330, 7598, 1199, 25, 400, 4348, 2519, 32, 42913, 610, 225, 36, 44, 528, 4082, 32, 751, 463, 31341, 75, 44, 394, 9268, 381, 15728, 1289, 8928, 2080, 370, 4082, 32, 10431, 27, 528, 442, 3177, 400, 813, 44, 528, 4082, 32, 751, 463, 31341, 75, 44, 15728, 8665, 370, 4082 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 4, 7, 5, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 6, 6, 6, 5, 6, 4, 3, 3, 5, 6, 5, 5, 5, 8, 8, 10, 10, 10, 9, 10, 10, 10, 10, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 9, 9, 9, 8, 8, 10, 10, 10, 9, 10, 10, 10, 10, 10, 4, 4, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 9, 8, 4, 4, 6, 6, 10, 10, 8, 10, 10, 10, 10, 10, 7, 10, 10, 8, 7, 7, 10, 10, 8, 10, 10, 10, 9, 10, 10, 10, 10, 7, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 5, 5, 8, 8, 11, 12, 10, 11, 10, 11, 10, 10, 10, 6, 6, 9, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 9, 10, 10, 10, 9, 6, 6, 9, 10, 10, 10, 9, 11, 11, 11, 11, 9, 11, 11, 11, 11, 6, 6, 8, 8, 11, 12, 10, 11, 11, 10, 11, 10, 6, 6, 8, 8, 10, 11, 10, 6, 6, 9, 10, 9, 6, 6, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 13, 12, 15, 14, 12, 9, 10, 11, 9, 6, 6, 7, 5, 5, 6, 11, 10, 11, 9, 10, 10, 8, 8, 8, 7, 7, 6, 6, 6, 10, 11, 10, 15, 15, 15, 15, 15, 15, 15, 16, 15, 15, 15, 15, 15, 15, 13, 13, 12, 12, 14, 11, 11, 13, 14, 13, 10, 11, 12, 10, 7, 7, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 5, 7, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 7, 7, 7, 6, 7, 7, 7, 7, 5, 5, 5, 7, 8, 10, 10, 10, 9, 10, 10, 10, 10, 7, 7, 7, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 12, 13, 11, 8, 8, 9, 6, 6, 7, 7, 7, 7, 9, 11, 12, 10, 10, 11, 9, 9, 9, 12, 12, 14, 14, 14, 9, 9, 10, 12, 13, 11, 11, 12, 10, 10, 10, 14, 15, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 15, 16, 14, 11, 11, 12, 9, 9, 10, 10, 10, 14, 15, 14, 16, 16, 16, 16, 16, 16, 14 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 1, 2, 1, 4, 4, 4, 0, 5, 5, 5, 5, 0, 5, 3, 3, 3, 3, 3, 0, 0, 1, 1, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 0, 7, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 2, 2, 1, 2, 5, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 5, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 3, 2, 1, 2, 2, 7, 5, 5, 3, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 3, 3, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 5, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 5, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 3, 3, 1, 3, 3, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 4, 0, 2, 1, 1, 2, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 3, 3, 1, 0, 0, 5, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 11285, 24941, 32, 13606, 32, 30387, 32, 9947, 1188, 12671, 1486, 203, 823, 15749, 3575, 2554, 26, 4007, 1486, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3408, 47, 2521, 30, 952, 47, 2521, 30, 3882, 47, 2521, 711, 291, 2599, 26, 1679, 3575, 2554, 30, 630, 14585, 1664, 25300, 696, 1299, 370, 3408, 30, 952, 30, 3882, 27, 291, 630, 32, 965, 280, 630, 32, 2035, 284, 665, 617, 371, 81, 2393, 26, 784, 711, 291, 1596, 44, 324, 630, 32, 1986, 280, 630, 32, 2848, 32, 371, 26, 784, 32, 2035, 30, 6144, 47, 2700, 27, 324, 630, 32, 2393, 280, 630, 32, 1986, 32, 1286, 291, 2940, 3268, 44, 324, 442, 1665, 291, 442, 630, 32, 2393, 415, 646, 630, 32, 1986, 32, 1517, 81, 687, 610, 225, 38, 34, 38, 813, 1665, 284, 665, 617, 669, 81, 30387, 81, 3423, 26, 784, 30, 1056, 711, 291, 630, 32, 965, 280, 8930, 2035, 111, 4737, 2473, 1643, 26, 2035, 47, 784, 32, 2035, 27, 291, 2803, 280, 301, 324, 330, 99, 950, 330, 9685, 764, 301, 965, 16805, 1643, 26, 965, 47, 1267, 32, 965, 471, 291, 320, 291, 442, 630, 1114, 1357, 26, 1959, 1057, 371, 370, 2803, 47, 2132, 27, 284, 665, 617, 669, 81, 30387, 81, 761, 26, 784, 30, 1056, 711, 291, 630, 32, 965, 280, 8930, 2035, 111, 4737, 2473, 1643, 26, 2035, 47, 784, 32, 2035, 27, 291, 2803, 280, 301, 324, 330, 99, 950, 330, 9685, 764, 301, 965, 16805, 1643, 26, 965, 47, 1267, 32, 965, 471, 291, 320, 291, 442, 630, 1114, 1357, 26, 1959, 1057, 371, 370, 2803, 47, 2132, 27, 203, 1237, 280, 15749, 3575, 2554, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 9, 9, 9, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 7, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 9, 10, 8, 8, 11, 12, 10, 11, 10, 12, 11, 12, 10, 10, 11, 12, 10, 6, 6, 9, 10, 8, 8, 10, 11, 9, 10, 5, 5, 6, 6, 6, 6, 8, 4, 4, 5, 7, 8, 6, 6, 7, 10, 11, 9, 10, 10, 10, 8, 8, 9, 9, 9, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 10, 10, 10, 10, 9, 8, 10, 9, 11, 10, 11, 8, 4, 4, 6, 6, 7, 7, 10, 10, 8, 12, 12, 12, 12, 12, 11, 10, 12, 11, 13, 12, 13, 10, 7, 7, 4, 4, 5, 7, 8, 7, 9, 8, 10, 10, 7, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 10, 10, 10, 10, 9, 8, 10, 9, 11, 10, 11, 8, 4, 4, 6, 6, 7, 7, 10, 10, 8, 12, 12, 12, 12, 12, 11, 10, 12, 11, 13, 12, 13, 10, 7, 7, 4, 4, 5, 7, 8, 7, 9, 8, 10, 10, 7, 8, 9, 7, 0, 3, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 4, 4, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 4, 4, 2, 0, 2, 1, 0, 1, 1, 2, 1, 3, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 4, 4, 2, 0, 2, 1, 0, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 8888, 37, 36, 7111, 90, 30, 802, 30, 1133, 203, 731, 280, 8888, 37, 36, 7111, 90, 32, 731, 203, 4680, 81, 20426, 81, 1110, 280, 2149, 203, 589, 2290, 81, 7111, 90, 81, 4680, 81, 33218, 81, 426, 26, 20426, 81, 426, 30, 6652, 81, 426, 280, 1665, 711, 284, 415, 646, 7022, 81, 20426, 81, 1110, 44, 291, 1188, 8888, 37, 36, 1237, 30, 8888, 37, 36, 468, 291, 7022, 81, 1582, 81, 853, 280, 8888, 37, 36, 1237, 32, 3339, 1625, 882, 571, 26, 4463, 37, 36, 468, 32, 47496, 81, 3687, 43820, 81, 4601, 30, 20054, 313, 6477, 225, 34, 34, 43, 657, 291, 7022, 81, 668, 280, 7022, 81, 1582, 81, 853, 77, 34, 79, 291, 436, 595, 328, 2155, 26, 34, 30, 2069, 26, 4680, 81, 668, 27, 429, 225, 35, 30, 225, 36, 711, 324, 1596, 44, 400, 7022, 81, 314, 280, 629, 26, 4680, 81, 668, 77, 91, 1130, 324, 2940, 10091, 44, 400, 4036, 324, 7022, 81, 20426, 81, 1110, 77, 4680, 81, 668, 77, 91, 29, 35, 997, 5729, 7662, 280, 7022, 81, 314, 284, 442, 8888, 37, 36, 7111, 90, 32, 10136, 16923, 558, 41046, 26, 8676, 81, 426, 30, 7022, 81, 20426, 81, 1110, 77, 20426, 81, 426, 32, 5729, 27944, 203, 589, 1390, 14674, 5086, 26, 1473, 30, 7022, 30, 1980, 280, 1665, 30, 328, 378, 6593, 35, 30, 6035, 2179, 280, 8888, 37, 36, 7111, 90, 32, 14229, 58, 81, 26913, 81, 10129, 30, 6652, 47, 2521, 711, 284, 1519, 280, 8888, 37, 36, 7111, 90, 32, 6669, 6477, 1215, 26, 308, 8676, 30, 1473, 30, 2386, 30, 1665, 30, 328, 378, 30, 4680, 27, 829, 284, 420, 99, 280, 8888, 37, 36, 7111, 90, 32, 2961, 1625, 346, 284, 1596, 44, 291, 33133, 280, 8888, 37, 36, 7111, 90, 32, 1103, 6477, 26, 16609, 30, 1519, 27, 291, 1596, 44, 324, 8888, 37, 36, 7111, 90, 32, 7938, 1625, 750, 26, 16609, 27, 324, 827, 30, 909, 280, 8888, 37, 36, 7111, 90, 32, 936, 20947, 6477, 882, 26, 13268, 30, 2179, 27, 324, 442, 909, 291, 8295, 44, 324, 8888, 37, 36, 7111, 90, 32, 4913, 6477, 26, 13268, 27, 284, 8295, 44, 291, 8888, 37, 36, 7111, 90, 32, 4173, 1625, 26, 16609, 27, 203, 589, 7477, 14674, 5086, 9813, 26, 2386, 558, 30, 1300, 280, 1665, 30, 1891, 7022, 280, 1665, 30, 1891, 2179, 280, 8888, 37, 36, 7111, 90, 32, 14229, 58, 81, 26913, 81, 10129, 30, 1891, 6652, 280, 1665, 30, 323, 9096, 47, 34, 711, 284, 415, 1300, 438, 1665, 44, 1300, 280, 2290, 81, 7111, 90, 81, 4680, 81, 33218, 81, 426, 440, 2861, 392, 6652, 27, 284, 415, 7022, 438, 1665, 44, 7022, 280, 2290, 81, 7111, 90, 81, 4680, 81, 33218, 81, 426, 440, 779, 6833, 392, 6652, 27, 284, 415, 323, 9096, 44, 4456, 8888, 37, 36, 7111, 90, 32, 2759, 6692, 26, 2521, 30, 6652, 30, 225, 34, 30, 225, 35, 27, 284, 1980, 558, 280, 802, 32, 5729, 26, 2386, 558, 27, 284, 3946 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 0, 3, 2, 2, 4, 4, 4, 4, 3, 4, 0, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 4, 4, 3, 3, 2, 1, 1, 3, 4, 5, 5, 5, 5, 3, 3, 3, 5, 7, 7, 7, 5, 5, 7, 7, 7, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 9, 8, 9, 9, 9, 9, 8, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 7, 8, 7, 4, 4, 5, 5, 5, 7, 8, 7, 7, 10, 11, 11, 11, 10, 8, 8, 9, 7, 7, 8, 7, 5, 5, 7, 7, 7, 11, 11, 10, 10, 12, 14, 14, 14, 13, 14, 13, 7, 7, 8, 8, 8, 8, 6, 6, 10, 10, 10, 10, 9, 13, 13, 13, 12, 14, 13, 14, 12, 12, 11, 8, 8, 9, 9, 2, 2, 3, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 6, 6, 6, 5, 5, 7, 7, 7, 7, 6, 9, 9, 9, 8, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 4, 3, 5, 2, 2, 2, 3, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 2, 1, 1, 4, 4, 7, 7, 7, 7, 6, 7, 7, 7, 6, 6, 8, 7, 8, 7, 8, 7, 7, 7, 7, 8, 7, 8, 7, 6, 2, 2, 5, 4, 4, 7, 7, 7, 7, 6, 7, 7, 6, 2, 2, 3, 3, 3, 6, 6, 9, 9, 9, 9, 8, 9, 9, 8, 9, 8, 8, 8, 4, 4, 5, 5, 5, 10, 10, 10, 10, 9, 10, 10, 10, 9, 10, 9, 6, 6, 9, 9, 8, 8, 11, 11, 11, 11, 10, 11, 11, 11, 11, 10, 11, 10, 10, 10, 6, 6, 7, 5, 5, 6, 6, 6, 11, 11, 11, 11, 10, 11, 11, 10, 11, 10, 3, 3, 4, 4, 4, 9, 9, 9, 9, 8, 9, 9, 8, 9, 8, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 2, 2, 2, 3, 3, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 8, 8, 2, 2, 3, 4, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 8, 8, 2, 2, 3, 4, 3, 3, 3, 8, 8, 8, 8, 7, 8, 8, 7, 8, 7, 7, 7, 7, 8, 7, 7, 8, 7, 2, 2, 5, 4, 4, 6, 7, 6, 7, 7, 6, 2, 2 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 3, 3, 2, 3, 3, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 5, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 3, 3, 3, 3, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 4, 4, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2, 1, 0, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 0, 7, 1, 2, 2, 2, 9, 9, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 11, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 5, 1, 1, 1, 1, 9, 1, 11, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 5, 5, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 2, 2, 2, 5, 5, 2, 2, 2, 7, 7, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 2, 0, 11, 2, 2, 5, 5, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 5, 1, 1, 7, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4 ]
[ 264, 2599, 26, 1183, 30, 630, 14585, 1664, 3207, 2393, 30, 6998, 30, 3177, 30, 3523, 30, 5008, 81, 5457, 30, 8479, 1123, 81, 426, 47, 725, 81, 426, 27, 284, 665, 1149, 81, 24616, 26, 784, 30, 5202, 26409, 10029, 26409, 1769, 81, 3494, 47, 35, 34, 34, 711, 291, 1524, 15867, 5611, 38762, 34323, 6689, 7837, 1077, 9001, 1448, 291, 499, 753, 596, 5202, 44, 29538, 34323, 6689, 9001, 5189, 3382, 8831, 5611, 38762, 1077, 9001, 1121, 9669, 13492, 11565, 34323, 6689, 33460, 9001, 291, 499, 753, 596, 10029, 44, 26456, 9444, 7033, 16132, 1448, 17297, 8193, 12533, 10278, 9669, 13492, 1121, 5044, 19442, 4690, 8754, 6018, 10188, 1978, 81, 8539, 291, 499, 753, 629, 1769, 81, 3494, 44, 40878, 8193, 12533, 6372, 6509, 8754, 1077, 9001, 2351, 6304, 291, 499, 601, 44, 225, 34323, 6689, 1077, 13999, 291, 499, 18398, 44, 29213, 36, 32, 3378, 32, 720, 34015, 1394, 291, 1524, 291, 5127, 280, 630, 1114, 1409, 463, 2788, 370, 2550, 2550, 715, 2803, 12516, 4254, 950, 5202, 30, 1378, 330, 8539, 950, 10029, 30, 1378, 330, 1449, 31, 3494, 950, 596, 26, 1449, 81, 3494, 25952, 291, 442, 630, 1114, 2208, 81, 1267, 26, 5243, 30, 5592, 81, 2304, 32, 2208, 81, 668, 81, 24616, 30, 1682, 34015, 1394, 27, 203, 823, 27062, 2176, 1761, 711, 284, 1524, 15153, 9001, 4475, 959, 10723, 1077, 5067, 1121, 1860, 135, 4490, 10041, 2586, 11742, 9001, 1121, 21911, 2586, 20878, 959, 8976, 1448, 284, 40764, 4686, 5173, 27478, 6105, 9001, 11103, 5009, 3094, 260, 23234, 34068, 5090, 2037, 291, 8217, 1188, 29213, 36, 291, 8217, 3796, 280, 29213, 36, 32, 2681, 463, 8761, 31, 3560, 31, 678, 31, 314, 370, 330, 8761, 31, 3560, 31, 678, 31, 7241, 683, 291, 8217, 8105, 280, 29213, 36, 32, 9001, 26, 2393, 30, 330, 525, 555, 13500, 31, 4977, 31, 16045, 7301, 644, 32, 45235, 32, 508, 370, 330, 8761, 31, 6452, 683, 291, 8217, 8105, 32, 524, 81, 1473, 463, 21834, 32, 2760, 370, 330, 1286, 432, 322, 1300, 683, 291, 333, 13500, 36, 32, 3378, 32, 9275, 959, 1394, 1300, 821, 225, 34, 106, 34, 36, 43, 52, 43, 43, 37, 34, 48, 284, 499, 753, 3796, 44, 225, 17730, 3939, 7837, 8917, 10595, 7852, 1077, 2681, 9343, 284, 499, 681, 3796, 44, 29213, 36, 32, 2681, 284, 499, 753, 596, 6998, 44, 225, 17421, 41728, 16261, 53, 2474, 284, 499, 753, 596, 8105, 81, 13428, 42495, 2413, 1448, 291, 225, 8417, 17485, 1077, 2097, 4686, 2308, 13428, 5345, 16181, 1077, 2413, 3445, 12199, 28962, 5861, 7837, 20878, 1121, 4490, 3382, 751, 32, 3072, 13428, 4577, 39, 4498, 34311, 5044, 5726, 9798, 1077, 20878, 24242, 403, 324, 8217, 8105, 32, 1333, 81, 965, 463, 2788, 370, 330, 751, 32, 3072, 370, 225, 39, 319, 225, 40, 34, 27, 324, 330, 525, 555, 8761, 31, 6452, 32, 13500, 31, 4977, 31, 16045, 7301, 644, 32, 45235, 32, 508, 33, 5370, 32, 3072, 49, 41297, 2791, 29137, 47, 10195, 2791, 29137, 78, 24, 32022, 47, 35, 38, 38, 41, 35, 41, 42, 34, 35 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -1, -1, 5, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 5, 5, 4, 5, 5, 5, 3, 0, 0, 1, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 4, 4, 3, 4, 4, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 11, 9, 10, 10, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 11, 11, 11, 10, 10, 8, 8, 8, 8, 8, 8, 8, 8, 11, 11, 11, 9, 11, 12, 12, 6, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 5, 6, 6, 6, 0, 1, 2, 2, 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 ]
[ -1, -1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 1, 1, 1, 0, 0, 11, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 3, 2, 5, 2, 0, 0, 7, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 5, 0, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 2, 1, 5, 5, 5, 0, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 37920, 32, 1199, 1188, 3082, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 345, 1269, 659, 32, 2988, 101, 32, 3378, 1188, 319, 203, 823, 18582, 44, 284, 665, 43407, 26, 784, 30, 46474, 711, 291, 3082, 32, 669, 81, 2592, 463, 2988, 101, 81, 29326, 965, 370, 330, 13610, 370, 46474, 710, 2988, 101, 32, 29326, 965, 44, 13610, 3490, 291, 3082, 32, 2560, 81, 2592, 463, 2988, 101, 81, 29326, 965, 370, 330, 29326, 81, 13610, 81, 314, 683, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 3082, 32, 2560, 81, 2592, 463, 2988, 101, 81, 29326, 965, 370, 330, 13610, 81, 314, 683, 291, 3082, 32, 669, 81, 2592, 463, 2988, 101, 81, 29326, 965, 370, 330, 29326, 81, 13610, 370, 46474, 710, 2988, 101, 32, 29326, 965, 44, 29326, 81, 13610, 3490, 284, 4549, 280, 301, 291, 330, 2988, 101, 32, 1452, 108, 728, 269, 23280, 265, 950, 301, 324, 330, 302, 81, 26195, 4177, 81, 266, 81, 13081, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1536, 950, 313, 2699, 392, 330, 1449, 81, 1322, 950, 330, 36, 34, 34, 370, 330, 5006, 950, 330, 1815, 45306, 324, 330, 1439, 81, 965, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 2413, 1176, 370, 5518, 5053, 5665, 950, 330, 1815, 370, 330, 1449, 81, 1322, 950, 330, 36, 34, 34, 45306, 324, 330, 2400, 307, 1191, 81, 878, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1536, 950, 313, 2699, 392, 330, 1449, 81, 1322, 950, 330, 36, 34, 34, 370, 330, 5006, 950, 330, 1815, 45306, 324, 330, 2400, 307, 1191, 81, 681, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1536, 950, 330, 2521, 370, 330, 1449, 81, 1322, 950, 330, 35, 34, 45306, 324, 330, 1452, 81, 2250, 81, 426, 81, 1643, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 36, 34, 34, 45306, 324, 330, 10270, 81, 878, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1536, 950, 313, 2699, 392, 330, 1449, 81, 1322, 950, 330, 36, 34, 34, 370, 330, 5006, 950, 330, 1815, 45306, 324, 330, 10270, 81, 681, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1536, 950, 330, 2521, 370, 330, 1449, 81, 1322, 950, 330, 35, 34, 45306, 324, 330, 314, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 370, 5518, 5053, 4457, 81, 678, 950, 330, 1815, 45306, 324, 330, 2250, 81, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 5665, 950, 330, 1815, 370, 330, 1449, 81, 1322, 950, 330, 36, 34, 34, 45306, 324, 330, 1217, 81, 965, 81, 681, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1536, 950, 5335, 2593, 13042, 330, 1449, 81, 1322, 950, 330, 36, 34, 18143 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 7, 7, 10, 10, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 7, 7, 10, 10, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 4, 2, 2, 0, 3, 3, 3, 3, 3, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 1, 2, 5, 1, 2, 5, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 1, 2, 5, 1, 2, 5, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 1, 2, 5, 1, 2, 5, 1, 2, 2, 2, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 5, 1, 1, 1, 2, 3, 1, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 24021, 2893, 280, 5881, 284, 3309, 44, 14771, 2139, 284, 827, 44, 19089, 284, 4504, 81, 2310, 44, 42710, 2899, 1056, 5216, 372, 23768, 2139, 4808, 3903, 47455, 284, 4081, 44, 313, 501, 18171, 677, 1116, 333, 3592, 50, 32620, 2563, 605, 32, 508, 5844, 284, 3048, 44, 397, 429, 1348, 3309, 3973, 1098, 3240, 2899, 3276, 619, 3398, 14186, 5216, 372, 312, 23768, 2139, 4808, 26013, 32, 397, 429, 886, 29294, 23768, 2139, 38489, 549, 6349, 7342, 1995, 438, 3304, 2442, 313, 641, 555, 48043, 1439, 32, 48043, 32, 508, 33, 725, 33, 38, 34, 36, 37, 5681, 397, 429, 31051, 372, 313, 68, 14484, 11108, 1691, 90, 11931, 994, 278, 1537, 1691, 90, 4731, 436, 4707, 1914, 12683, 1510, 458, 438, 4122, 32, 284, 1503, 81, 11043, 44, 313, 36, 32, 41, 20, 284, 10130, 44, 397, 429, 2619, 11362, 7978, 458, 3309, 3973, 397, 429, 330, 1922, 312, 4808, 3903, 47455, 328, 23768, 2139, 25, 397, 429, 330, 19077, 322, 1984, 461, 2404, 328, 28520, 32, 4687, 25, 284, 2075, 44, 397, 1984, 44, 291, 3048, 44, 3834, 372, 322, 23768, 2139, 4808, 26013, 1914, 291, 4533, 44, 616, 429, 636, 44, 47178, 22756, 81, 2413, 291, 17918, 44, 616, 429, 4169, 44, 3309, 81, 48043, 324, 1202, 44, 1984, 397, 7120, 384, 97, 915, 44, 291, 3048, 44, 6512, 372, 21307, 322, 3387, 372, 322, 23768, 2139, 4808, 26013, 291, 4533, 44, 616, 429, 636, 44, 47178, 22756, 81, 9036, 9052, 291, 17918, 44, 616, 429, 4169, 44, 3309, 81, 48043, 324, 1202, 44, 7120, 384, 97, 915, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 7899, 44, 848, 334, 2614, 5352, 30, 1015, 458, 372, 1370, 28520, 32, 4687, 803, 328, 322, 10071, 2163, 284, 428, 10514, 79, 284, 3309, 81, 27421, 280, 14771, 2139, 334, 1756, 322, 4706, 2677, 284, 4166, 47178, 22756, 81, 2413, 47, 525, 555, 1772, 48043, 2386, 32, 2901, 21029, 302, 32, 716, 44, 42, 34, 42, 42, 33, 4255, 33, 21945, 33, 1567, 284, 4166, 47178, 22756, 81, 9036, 9052, 47, 88, 36, 37, 1551, 339, 40, 31, 39, 43, 40, 39, 31, 38, 39, 37, 41, 31, 3589, 40, 43, 31, 39, 84, 39, 83, 39, 38, 39, 1551, 360, 3075, 42, 42, 334, 1756, 322, 28520, 32, 4687, 2677, 328, 322, 3309, 81, 48043, 2163, 284, 428, 4383, 81, 48043, 79, 284, 1984, 280, 1913, 555, 1772, 48043, 2386, 32, 2901, 21029, 302, 32, 716, 44, 42, 34, 42, 42, 33, 4255, 33, 21945, 33, 1567, 284, 7120, 384, 97, 915, 280, 296, 36, 37, 1551, 339, 40, 31, 39, 43, 40, 39, 31, 38, 39, 37, 41, 31, 3589, 40, 43, 31, 39, 84, 39, 83, 39, 38, 39, 1551, 360, 3075, 42, 42, 203, 9592, 203, 465, 2361, 203, 465, 11171, 203, 465, 6234, 203, 465, 622, 4617, 203, 1070, 7138, 1188, 7138, 203, 1070, 2322, 32, 983, 1188, 29155, 203, 1070, 28520 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 0, 8, 8, 8, 8, 0, 9, 9, 1, 2, 9, 9, 0, 10, 10 ]
[ 1070, 7138, 1188, 7138, 203, 465, 4134, 203, 465, 2322, 203, 465, 316, 203, 465, 802, 203, 1070, 8527, 1188, 3079, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 2387, 1188, 10838, 203, 1070, 8527, 32, 2387, 32, 4554, 1188, 2908, 81, 452, 81, 800, 203, 1070, 8527, 32, 2387, 32, 1536, 9211, 1188, 32050, 4068, 81, 916, 30, 802, 2029, 203, 1070, 8527, 32, 2387, 32, 4554, 81, 3963, 1188, 745, 81, 1017, 203, 1070, 8527, 32, 2387, 1188, 13392, 203, 1070, 8527, 32, 2304, 32, 39804, 445, 2582, 1188, 3634, 81, 4770, 203, 1070, 13458, 286, 3483, 32, 761, 81, 2946, 1188, 2032, 30, 24035, 203, 8539, 81, 1366, 280, 313, 2904, 29528, 286, 403, 23, 101, 403, 5942, 1101, 20, 203, 8539, 81, 416, 280, 313, 2904, 29528, 286, 403, 23, 101, 403, 2102, 1101, 20, 203, 1700, 81, 23076, 280, 330, 1700, 81, 23076, 25, 203, 3317, 280, 13392, 346, 203, 823, 29528, 286, 1222, 1212, 26, 2387, 32, 1212, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 3097, 284, 665, 2908, 26, 784, 30, 1619, 711, 291, 442, 3330, 203, 50, 3317, 32, 2142, 26, 426, 347, 4486, 286, 657, 203, 589, 13458, 286, 81, 1819, 26, 3922, 30, 2404, 711, 284, 442, 29528, 286, 1222, 1212, 346, 203, 50, 3317, 32, 2142, 26, 426, 347, 25363, 657, 203, 589, 538, 21112, 26, 3922, 30, 2404, 711, 284, 1541, 668, 280, 4118, 32, 2208, 39109, 272, 651, 21112, 370, 490, 284, 4118, 32, 2560, 81, 2232, 81, 1956, 346, 284, 442, 10349, 3357, 1212, 440, 571, 21112, 392, 1541, 668, 27, 203, 50, 3317, 32, 2142, 26, 426, 347, 4066, 657, 203, 589, 9126, 26, 3922, 30, 2404, 711, 284, 1541, 668, 280, 4118, 32, 2208, 39109, 416, 4066, 370, 490, 284, 4118, 32, 2560, 81, 2232, 81, 1956, 346, 284, 442, 10349, 3357, 1212, 440, 11481, 392, 1541, 668, 27, 203, 50, 3317, 32, 2142, 26, 426, 347, 2233, 657, 203, 589, 5279, 81, 1637, 26, 3922, 30, 2404, 711, 284, 7030, 280, 2404, 32, 8078, 32, 2998, 346, 284, 415, 308, 1657, 26, 5960, 27, 333, 225, 39, 556, 291, 7030, 77, 35, 79, 863, 330, 452, 25, 556, 291, 7030, 77, 37, 79, 863, 330, 302, 7831, 291, 3636, 10838, 40672, 440, 6647, 44, 330, 2233, 372, 617, 1637, 81, 983, 81, 619, 617, 2011, 16436, 657, 284, 442, 17290, 1212, 26, 5960, 77, 36, 614, 7030, 77, 38, 1130, 203, 50, 3317, 32, 2142, 26, 426, 347, 3576, 657, 203, 589, 4121, 26, 3922, 30, 2404, 711, 284, 7030, 280, 2404, 32, 8078, 32, 2998, 346, 284, 415, 2069, 26, 5960, 27, 333, 225, 36, 44, 291, 3636, 10838, 40672, 440, 6647, 44, 330, 3576, 617, 4502, 16436, 657, 284, 1541, 668, 280, 4118, 32, 2208, 39109, 416, 3576, 370, 490, 284, 4118, 32, 2560, 81, 2232, 81, 1956, 346, 284, 442, 9494, 1212, 26, 5960, 77, 35, 614, 1541, 668, 27, 203, 823, 17290, 1212, 26, 2387, 32, 1212, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 4, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 0, 2, 5, 4, 5, 4, 6, 5, 7, 7, 7, 1, 2, 2, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 0, 2, 5, 4, 5, 4, 6, 5, 7, 7, 1, 2, 2, 3, 3, 4, 3, 3, 3, 2, 2, 6, 5, 5, 7, 8, 7, 10, 10, 10, 10, 8, 3, 3, 6, 7, 7, 7, 7, 7, 6, 3, 3, 4, 6, 6, 6, 8, 8, 8, 6, 7, 6, 0, 2, 5, 4, 5, 4, 6, 5, 7, 7, 1, 2, 2, 3, 4, 3, 3, 3, 2, 2, 6, 5, 5, 7, 8, 7, 10, 10, 10, 8, 3, 3, 6, 7, 7, 7, 7, 7, 6, 3, 3, 4, 6, 6, 6, 8, 8, 6, 7, 6, 0, 2, 5, 4, 5, 4, 6, 5, 7, 7, 1, 2, 2, 3, 3, 3, 4, 3, 3, 3, 2, 2, 5, 5, 8, 9, 7, 8, 7, 3, 3, 4, 10, 10, 11, 10, 8, 8, 9, 7, 7, 7, 9, 10, 9, 8, 8, 10, 10, 6, 6, 6, 8, 9, 8, 7, 7, 9, 9, 4, 4, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 6, 6, 8, 7, 8, 7, 6, 7, 8, 7, 0, 2, 5, 4, 5, 4, 6, 5, 7, 7, 1, 2, 2, 3, 4, 3, 3, 3, 2, 2, 5, 5, 8, 9, 7, 8, 7, 3, 3, 4, 7, 8, 7, 5, 5, 6, 4, 4, 4, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 6, 5, 5, 7, 8, 7, 10, 10, 10, 8, 3, 3, 6, 7, 7, 7, 7, 7, 6, 3, 3, 4, 6, 6, 8, 7, 8, 7, 6, 7, 6, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 0, 0, 9, 9, 1, 2, 1, 4, 4, 9, 9, 0, 0, 0, 9, 9, 0, 0, 10, 10, 1, 2, 1, 4, 4, 4, 10, 10, 0, 0, 0, 11, 11, 1, 2, 11, 11, 0, 12, 12, 1, 2, 1, 4, 4, 4, 12, 12, 0, 0, 0, 13, 13, 0, 0, 1, 2, 2, 2, 13, 13, 13, 13, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 18, 18, 1, 1, 1, 2, 0, 1, 2, 2, 18, 18, 0, 1, 1, 1, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 19, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 20, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 2, 0, 0, 1, 1, 1, 2, 1, 3, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 21, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 2, 0, 0, 1, 1, 2, 1, 3, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 22, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 4, 4, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 1, 0, 1, 2, 1, 1, 3, 2, 3, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 23, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 4, 0, 1, 0, 1, 2, 1, 1, 3, 1, 0, 24, 24, 1, 2, 0, 1, 2, 2, 24, 24, 0, 1, 1, 1, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 1070, 7138, 1188, 7138, 30, 2340, 30, 1133, 30, 30784, 203, 1070, 10245, 1188, 23501, 203, 465, 5741, 203, 1070, 7515, 1188, 5104, 203, 465, 6436, 619, 2065, 203, 33891, 81, 927, 3908, 2893, 81, 15630, 280, 308, 410, 30, 1897, 30, 8640, 30, 1014, 596, 30, 3519, 30, 1014, 827, 26, 2521, 471, 1014, 7138, 30, 2340, 30, 1133, 30, 30784, 30, 1014, 5104, 30, 23501, 30, 1014, 2065, 32, 2171, 30, 2065, 32, 2420, 7912, 203, 1270, 44, 284, 41272, 1345, 81, 927, 3908, 2893, 81, 15630, 1454, 308, 3222, 30, 15390, 27, 203, 7343, 3270, 924, 44, 284, 3097, 203, 1270, 44, 284, 1695, 800, 203, 7343, 3270, 924, 44, 284, 1695, 800, 280, 596, 203, 4073, 280, 5741, 32, 10579, 440, 36483, 657, 203, 823, 13908, 924, 26, 984, 711, 284, 3097, 203, 589, 617, 1553, 81, 8830, 26, 853, 711, 284, 415, 6937, 26, 853, 30, 2065, 32, 16771, 711, 291, 415, 646, 438, 39288, 26, 853, 32, 12010, 32, 681, 30, 41272, 1345, 81, 927, 3908, 2893, 81, 15630, 711, 324, 3636, 10091, 440, 3817, 11188, 32, 10821, 4997, 12051, 623, 9710, 904, 101, 20, 6035, 313, 586, 646, 6660, 20, 904, 786, 32, 12010, 32, 681, 27, 284, 4348, 6937, 26, 853, 30, 5436, 711, 291, 436, 1994, 328, 786, 32, 2810, 2262, 324, 617, 1553, 81, 8830, 26, 2543, 27, 284, 4348, 6937, 26, 853, 30, 308, 668, 30, 8825, 8531, 291, 436, 1994, 328, 786, 44, 324, 617, 1553, 81, 8830, 26, 2543, 27, 284, 4348, 646, 6937, 26, 853, 30, 41272, 1345, 81, 927, 3908, 2893, 81, 15630, 711, 291, 3636, 10091, 440, 3817, 11188, 32, 2244, 8609, 432, 827, 904, 101, 884, 646, 20, 656, 313, 11327, 20, 904, 827, 26, 853, 490, 203, 589, 3991, 81, 4330, 26, 83, 30, 323, 711, 284, 1201, 827, 26, 83, 27, 610, 827, 26, 84, 471, 330, 681, 7846, 101, 27, 904, 101, 863, 827, 7846, 101, 27, 904, 101, 25, 904, 308, 83, 30, 827, 26, 83, 471, 38698, 323, 30, 827, 26, 84, 490, 284, 415, 6937, 26, 83, 30, 5436, 711, 291, 442, 3991, 81, 8830, 26, 83, 30, 323, 27, 284, 4348, 6937, 26, 83, 30, 2065, 32, 16771, 711, 16189, 442, 2065, 32, 1689, 26, 83, 30, 323, 27, 284, 4348, 6937, 26, 83, 30, 1149, 711, 16189, 442, 312, 474, 323, 284, 4348, 6937, 26, 83, 30, 1695, 800, 711, 291, 415, 312, 610, 323, 44, 324, 442, 312, 291, 813, 44, 324, 442, 312, 474, 44341, 474, 323, 284, 813, 44, 291, 1201, 312, 610, 323, 30, 6611, 101, 863, 904, 101, 25, 904, 308, 83, 30, 323, 27, 291, 442, 312, 203, 589, 3991, 81, 8830, 26, 51, 30, 551, 711, 284, 9105, 280, 2149, 284, 436, 636, 328, 399, 44, 291, 415, 636, 328, 551, 44, 324, 1596, 44, 400, 9105, 77, 426, 79, 280, 3991, 81, 4330, 26, 51, 77, 426, 614, 551, 77, 426, 1130, 324, 2940 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 4, 5, 5, 0, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 5, 5, 5, 1, 2, 2, 3, 2, 2, 2, 0, 1, 1, 1, 1, 4, 1, 2, 2, 3, 2, 2, 2, 6, 5, 5, 0, 3, 2, 2, 4, 5, 4, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 6, 7, 5, 3, 3, 5, 6, 8, 8, 11, 10, 11, 9, 10, 8, 8, 9, 9, 9, 9, 9, 9, 9, 8, 5, 5, 7, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 10, 10, 12, 13, 11, 12, 9, 3, 3, 4, 6, 7, 6, 6, 6, 4, 4, 6, 6, 6, 8, 9, 8, 6, 6, 10, 10, 10, 10, 11, 10, 3, 3, 4, 6, 7, 6, 6, 8, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 11, 10, 3, 3, 4, 5, 7, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 6, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 9, 9, 11, 12, 11, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 6, 7, 6, 4, 4, 6, 7, 6, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 5, 5, 7, 8, 7, 5, 5, 5, 5, 7, 8, 7, 2, 2, 3, 5, 6, 5, 5, 5, 3, 3, 5, 7, 7, 7, 8, 7, 7, 7, 3, 3, 4, 6, 7, 6, 6, 7, 8, 6, 4, 4, 6, 8, 9, 8, 9, 8, 8, 8, 3, 3, 4, 6, 7, 6, 6, 6, 4, 4, 6, 7, 7, 3, 3, 4, 6, 7, 6, 6, 7, 6, 4, 4, 6, 7, 7, 6, 6, 6, 8, 6, 6, 7, 7, 7, 9, 11, 11, 10, 10, 3, 3, 4, 4, 4, 6, 7, 7, 6, 6, 9, 9, 9, 9, 9, 7, 7, 9, 8, 8, 8, 5, 5, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 5, 6, 6, 5, 5, 5, 7, 7, 7, 11, 12, 11, 10, 10, 12, 12, 12, 14, 13, 14, 13, 12, 13, 14, 13, 7, 7 ]
[ 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, 0, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 25, 2, 2, 2, 27, 2, 2, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 7, 3, 3, 1, 3, 3, 3, 0, 8, 8, 8, 8, 0, 8, 3, 3, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 10, 10, 1, 2, 1, 2, 10, 10, 0, 11, 11, 1, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 5, 1, 1, 1, 1, 1, 3, 3, 3, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 6, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 12, 12, 1, 1, 2, 1, 2, 2, 2, 12, 12, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 5, 5, 0, 1, 1, 1, 1, 6, 1, 1, 1, 1, 3, 1, 6, 6, 0, 1, 1, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 7, 7, 7, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 2, 1, 0, 13, 13, 1, 1, 2, 1, 2, 2, 2, 13, 13, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 3, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 20654, 30, 7976, 81, 465, 30, 15390, 81, 30839, 203, 1070, 9845, 32, 2184, 1188, 622, 81, 21937, 4545, 203, 21937, 4545, 280, 622, 81, 21937, 4545, 346, 203, 4254, 280, 4939, 3463, 348, 20, 203, 10529, 280, 3177, 203, 22926, 280, 3177, 203, 479, 87, 385, 957, 280, 3177, 203, 3585, 1553, 280, 3177, 203, 3463, 348, 2274, 280, 3177, 203, 81, 18210, 21937, 280, 3177, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 0, 3, 2, 2, 0, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 505, 13411, 505, 280, 3941, 606, 11033, 203, 465, 5237, 30, 2322, 30, 316, 203, 1070, 4096, 1188, 1474, 81, 1070, 81, 761, 203, 1270, 44, 284, 1188, 11685, 203, 7343, 29986, 44, 284, 11685, 280, 1665, 203, 1070, 1673, 2304, 32, 4275, 1188, 308, 4496, 2304, 2828, 924, 30, 9306, 2304, 1765, 924, 30, 4985, 9306, 2304, 2459, 924, 30, 9306, 2304, 1339, 924, 27, 203, 1070, 1673, 2304, 32, 33041, 81, 30226, 1188, 506, 10360, 936, 2215, 30, 8778, 81, 3222, 2215, 203, 1070, 1673, 2304, 32, 1040, 1188, 1505, 81, 12757, 30, 596, 452, 2420, 30, 540, 3499, 42, 36, 36, 81, 11731, 203, 1070, 1673, 2304, 1188, 1245, 203, 1070, 1673, 2304, 32, 2811, 1188, 9399, 203, 23194, 81, 1589, 81, 35909, 280, 330, 3310, 31, 42, 25, 203, 2501, 81, 268, 280, 316, 32, 6993, 308, 100, 28249, 77, 83, 31, 15188, 31, 76, 729, 77, 83, 31, 15188, 31, 76, 34, 31, 43, 81, 38131, 22, 683, 203, 823, 26246, 44, 284, 3649, 81, 2184, 280, 41449, 10529, 370, 330, 104, 370, 313, 1945, 9541, 631, 308, 1536, 5715, 225, 35, 471, 2855, 2726, 22290, 370, 330, 99, 370, 313, 1945, 28805, 631, 308, 389, 101, 39451, 2126, 43471, 2855, 2726, 24223, 31, 1945, 370, 330, 96, 370, 313, 11676, 1330, 6723, 745, 7991, 2113, 2855, 2726, 4756, 370, 330, 90, 370, 313, 2245, 16360, 3049, 1474, 2113, 2855, 2726, 1347, 31, 496, 31, 4687, 370, 1665, 30, 5556, 330, 3617, 3619, 2452, 2304, 32, 4687, 328, 1370, 6765, 3362, 1425, 284, 1481, 284, 4942, 81, 8795, 280, 1524, 78, 203, 5240, 6350, 44, 308, 2970, 11363, 4756, 31, 7621, 25, 436, 1829, 27, 334, 4705, 32, 978, 1968, 647, 1098, 1968, 322, 2652, 1531, 941, 550, 330, 1832, 7404, 334, 4705, 32, 978, 2443, 264, 1098, 2443, 322, 2652, 203, 2993, 284, 2503, 81, 2184, 280, 428, 291, 2726, 4756, 31, 7621, 370, 1665, 30, 276, 313, 668, 1169, 3304, 6350, 2113, 291, 2726, 426, 370, 1665, 30, 276, 313, 1216, 2652, 636, 2113, 291, 2726, 1648, 370, 330, 72, 370, 276, 313, 1216, 2652, 1503, 2113, 291, 2726, 27207, 370, 1665, 30, 276, 313, 1216, 333, 1320, 636, 36398, 1648, 48, 2113, 291, 2726, 2116, 370, 1665, 30, 276, 313, 1216, 322, 4081, 1182, 636, 2113, 291, 2726, 2116, 31, 1935, 370, 1665, 30, 276, 313, 1216, 322, 4081, 1182, 4096, 2965, 2113, 291, 2726, 42086, 370, 1665, 30, 276, 313, 1216, 322, 36614, 1182, 636, 2113, 291, 2726, 42086, 31, 1935, 370, 1665, 30, 276, 313, 1216, 322, 36614, 1182, 4096, 2965, 2113, 291, 2726, 5546, 370, 1665, 30, 276, 313, 1216, 322, 36614, 1182, 636, 415, 8967, 30, 813, 322, 4081, 1182, 2113, 291, 2726, 5546, 31, 1935, 370, 1665, 30, 276, 313, 1216, 322, 36614, 1182, 4096, 2965, 415, 8967, 30, 813, 322, 4081, 1182, 2113, 291, 2726, 965, 370, 1665, 30, 276, 313, 1216, 322, 3834, 436, 458, 2652, 2113, 291, 2726, 2077, 370, 1665, 30, 276, 313, 1216, 322, 3541, 432, 322, 2652, 2113, 291, 2726, 47320, 370, 1665 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 5, 5, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 1, 1, 1, 5, 5, 4, 4, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 8, 8, 6, 7, 6, 5, 5, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 5, 5, 4, 4, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 6, 6, 6, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 6, 6, 6, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 8, 8, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 0, 5, 5, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 11, 11, 11, 11, 11, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 2, 2, 1, 2, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 5, 1, 2, 5, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 1, 2, 7, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 9, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 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, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 2, 5, 5, 1, 1, 1, 2, 2, 2, 1, 2, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 9, 9, 9, 9, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 11, 11, 11, 11, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 13, 13, 13, 13, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 15, 15, 15, 15, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 17, 17, 17, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 19, 19, 19, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 21, 21, 21, 21, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 23, 23, 23, 23, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 25 ]
[ 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 11040, 36, 81, 22276, 203, 4021, 81, 2310, 44, 2648, 461, 24480, 12386, 600, 16233, 8159, 13199, 308, 718, 59, 27, 372, 600, 1980, 203, 2310, 44, 284, 429, 2648, 461, 24480, 12386, 600, 16233, 8159, 13199, 308, 718, 59, 27, 372, 600, 1980, 32, 1670, 600, 3641, 59, 2484, 438, 3943, 30, 600, 11549, 438, 5590, 372, 1974, 322, 4905, 3641, 59, 32, 4517, 13256, 330, 2521, 25, 619, 322, 1980, 81, 314, 30, 600, 3641, 59, 883, 526, 2748, 6066, 645, 600, 1980, 32, 203, 1648, 81, 11043, 44, 313, 36, 32, 34, 20, 203, 2116, 44, 18551, 24788, 30, 341, 449, 17572, 428, 269, 79, 485, 2200, 32, 508, 30, 477, 105, 449, 17572, 203, 2184, 44, 334, 931, 91, 81, 314, 44, 284, 3048, 44, 397, 429, 886, 2484, 432, 322, 3641, 59, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 1980, 81, 314, 44, 284, 3048, 44, 397, 429, 11617, 2484, 688, 844, 15853, 372, 12386, 3641, 59, 372, 32, 2614, 35562, 600, 3641, 59, 645, 600, 1980, 30, 793, 330, 2521, 2473, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 945, 81, 639, 81, 2468, 44, 284, 3048, 44, 397, 429, 12400, 4600, 2965, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 20072, 81, 314, 44, 284, 3048, 44, 397, 429, 2484, 432, 20072, 328, 1510, 372, 1487, 322, 3641, 59, 32, 9287, 2129, 1412, 1603, 47, 2689, 32, 284, 2129, 44, 861, 334, 3048, 44, 284, 3048, 44, 397, 429, 5648, 3048, 432, 322, 3641, 59, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 7663, 81, 6332, 44, 284, 3048, 44, 397, 429, 1682, 432, 7663, 8351, 5746, 623, 322, 2568, 32, 9287, 1654, 1412, 1603, 47, 2689, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 1603, 44, 284, 3048, 44, 397, 429, 2648, 556, 3066, 3641, 59, 32, 284, 2129, 44, 901, 284, 1244, 44, 5024, 284, 16682, 44, 428, 330, 2689, 370, 330, 3596, 304, 25, 1481, 334, 3298, 81, 1055, 44, 284, 3048, 44, 397, 429, 886, 1650, 432, 322, 3298, 436, 322, 3984, 2568, 16612, 544, 322, 1980, 32, 284, 2129, 44, 901, 284, 1244, 44, 225, 34, 334, 7650, 81, 18723, 44, 284, 3048, 44, 397, 429, 21406, 2748, 6425, 432, 322, 2568, 32, 1348, 16642, 3154, 1412, 13413, 2748, 9469, 322, 2568, 810, 5748, 1980, 81, 314, 372, 1665, 556, 1412, 20677, 600, 2568, 623, 1603, 47, 3596, 304, 32, 284, 2129, 44, 901, 284, 1244, 44, 1289, 334, 3066, 81, 267, 81, 41979, 44, 284, 3048, 44, 397, 429, 6788, 322, 2568, 1412, 322, 1980, 561, 438, 13076, 372, 438, 25460, 32, 2448, 883, 1755, 6377, 458, 4655, 1412, 322, 2568, 438, 3998, 8844, 30, 646, 544, 10064, 32, 284, 2129, 44, 901, 334, 1914, 81, 3316, 81, 1553, 44, 284, 3048, 44, 397, 429, 4517, 1244, 30, 14091, 4436, 1914, 33, 9749, 9371, 32, 30296, 6942, 11510, 1849, 458, 1505, 372, 526, 6869, 32, 2448, 883, 1755, 6377, 458, 4655 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 3089, 749, 98, 1188, 8684, 203, 465, 7744, 203, 589, 35396, 26, 88, 30, 540, 711, 203, 202, 601, 8684, 32, 1808, 81, 1497, 26, 88, 30, 12485, 81, 30423, 47, 100, 27, 203, 589, 10635, 10929, 26, 88, 30, 540, 711, 284, 415, 646, 540, 44, 291, 442, 296, 284, 442, 7744, 32, 17682, 26, 88, 517, 540, 27, 319, 540, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 3, 3, 5, 6, 6, 6, 5, 6, 5, 5, 7, 7, 6, 7, 5, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 3, 3, 3, 5, 2, 2, 3, 6, 7, 6, 8, 7, 7, 6, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 0, 3, 3, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 0, 0, 0, 0, 4, 4, 1, 0, 2, 1, 0, 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 ]
[ 465, 5741, 203, 465, 2322, 203, 465, 22977, 203, 465, 29590, 203, 465, 15798, 203, 465, 14465, 203, 1070, 4395, 1188, 7841, 203, 1070, 1968, 3732, 1188, 308, 284, 1505, 81, 27958, 81, 7508, 30, 284, 1505, 81, 27958, 30, 284, 25815, 1572, 27, 203, 589, 3219, 81, 4689, 26, 2184, 47, 2521, 711, 334, 5741, 32, 6390, 1063, 26, 397, 2179, 31197, 26, 2649, 426, 547, 35, 101, 18147, 302, 27749, 27, 101, 15231, 26, 95, 22447, 27, 34, 37, 86, 18147, 1436, 27, 101, 370, 397, 2340, 3972, 31197, 58, 6069, 63, 6069, 69, 370, 397, 3193, 47, 7490, 32, 2897, 27, 334, 415, 646, 2075, 44, 284, 443, 11024, 26, 1473, 711, 397, 3097, 284, 2075, 280, 11024, 346, 284, 2075, 32, 7263, 81, 426, 81, 3473, 280, 330, 18986, 25, 284, 2075, 32, 20644, 81, 9321, 81, 15710, 280, 429, 35, 284, 2075, 32, 20644, 81, 2946, 280, 330, 761, 25, 284, 2075, 32, 20644, 81, 6565, 280, 3177, 334, 25815, 1572, 32, 19653, 81, 7982, 26, 2184, 27, 203, 15644, 81, 12744, 280, 330, 12168, 25, 203, 15644, 81, 26942, 280, 40305, 81, 12744, 203, 4241, 1798, 527, 81, 12744, 280, 330, 20644, 31, 19186, 25, 203, 4241, 1798, 527, 81, 26942, 280, 330, 12868, 96, 5190, 31, 20644, 25, 203, 20185, 81, 26942, 280, 330, 12868, 96, 5190, 32, 933, 32, 716, 25, 203, 20185, 81, 12744, 280, 2783, 12512, 81, 26942, 203, 30169, 81, 25885, 81, 8472, 280, 330, 858, 31, 2912, 1786, 25, 203, 4241, 1798, 527, 81, 25885, 81, 8472, 280, 3849, 3349, 7863, 81, 25885, 81, 8472, 203, 30169, 81, 25885, 81, 32026, 280, 330, 12868, 96, 5190, 25, 203, 4241, 1798, 527, 81, 25885, 81, 32026, 280, 330, 12868, 96, 5190, 25, 203, 6177, 81, 4530, 81, 6540, 280, 330, 1648, 31, 41, 32, 42, 32, 43, 25, 203, 18086, 81, 4530, 81, 6540, 280, 330, 1648, 31, 41, 32, 42, 32, 35, 34, 25, 203, 18086, 81, 4530, 81, 10463, 280, 330, 41, 32, 42, 32, 35, 34, 25, 203, 18086, 81, 23833, 280, 330, 2675, 25, 203, 6023, 1614, 35348, 81, 23833, 280, 330, 574, 35134, 31, 6586, 25, 203, 589, 1930, 81, 9138, 81, 2912, 81, 6426, 26, 2912, 81, 1515, 711, 334, 5573, 81, 18908, 280, 5053, 28310, 950, 5554, 81, 1515, 111, 334, 5867, 81, 426, 280, 2322, 32, 983, 32, 15705, 26, 2912, 81, 1515, 27, 334, 1420, 81, 2912, 280, 9254, 4774, 44, 330, 2912, 904, 101, 25, 904, 4774, 334, 2322, 32, 27428, 26, 2912, 81, 1515, 27, 334, 5741, 32, 2811, 463, 42829, 5554, 5338, 328, 5461, 101, 21684, 5554, 81, 1515, 27, 334, 1505, 81, 27958, 81, 7508, 26, 397, 428, 616, 330, 11251, 225, 904, 101, 31, 1439, 761, 32, 2760, 25, 904, 5867, 81, 426, 30, 616, 1420, 81, 2912, 463, 1664, 1425, 616, 1420, 81, 2912, 463, 669, 904, 101, 31, 1439, 761, 32, 2760, 25, 904, 5867, 81, 426, 471, 616, 1420, 81, 2912, 463, 3375, 429, 83, 429, 95, 313, 15006, 26, 2232, 711, 1932, 4583 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 6, 6, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 6, 8, 8, 8, 8, 8, 8, 5, 5, 6, 8, 7, 8, 5, 2, 2, 3, 4, 3, 3, 3, 5, 6, 7, 6, 5, 5, 4, 4, 6, 6, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 6, 5, 6, 6, 6, 5, 6, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 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, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 8, 8, 6, 7, 7, 5, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 5, 5, 5, 8, 8, 8, 8, 6, 6, 2, 2, 5, 6, 5, 6, 6, 6, 5, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 6, 6, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 6, 6, 6, 8, 8, 8, 10, 10, 6, 6, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 8, 6, 6, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 8, 8, 1, 1, 2, 0, 1, 2, 2, 8, 8, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 3, 1, 1, 1, 1, 1, 2, 1, 1, 5, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 3, 3, 0, 0, 1, 3, 3, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 3, 3, 0, 2, 2, 2, 2, 2, 0, 0, 1, 3, 3, 0, 2, 2, 2, 0, 0, 1, 2, 3, 3, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 24, 24, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 24, 24, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 3, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 15798, 203, 1070, 1278, 44584, 32, 1643, 5725, 1188, 18923, 81, 22583, 619, 18923, 81, 22583, 81, 14548, 203, 1070, 1278, 44584, 32, 1356, 1188, 1133, 1356, 203, 1070, 1278, 44584, 32, 25882, 1188, 18923, 81, 22583, 203, 1070, 3312, 32, 25882, 1188, 894, 81, 1356, 203, 823, 11766, 11334, 2825, 1006, 26, 858, 81, 1356, 32, 2825, 7233, 711, 334, 665, 14553, 26, 784, 711, 284, 630, 1114, 3922, 280, 18923, 81, 22583, 32, 18098, 11334, 2825, 346, 334, 665, 894, 4480, 974, 26, 784, 711, 284, 894, 81, 761, 280, 630, 1114, 936, 1006, 9140, 2009, 103, 25, 11334, 3490, 284, 1692, 81, 3926, 81, 14162, 280, 630, 1114, 4480, 974, 26, 784, 1114, 3922, 30, 894, 81, 761, 27, 284, 1692, 81, 5740, 280, 630, 1114, 936, 1151, 6692, 1792, 4084, 26, 1567, 81, 3926, 81, 14162, 27, 284, 1692, 81, 1473, 280, 1692, 81, 5740, 77, 34, 79, 284, 630, 32, 25839, 1810, 26, 291, 1692, 81, 1473, 30, 18923, 81, 22583, 32, 18098, 4814, 21366, 1151, 27, 284, 2799, 81, 5561, 280, 1133, 1356, 32, 7473, 32, 4001, 17725, 26, 291, 1044, 25, 36, 34, 35, 38, 31, 35, 35, 31, 34, 39, 225, 35, 42, 44, 37, 35, 44, 36, 38, 32, 35, 39, 38, 42, 37, 41, 683, 284, 630, 32, 5299, 26, 1567, 81, 1473, 32, 5561, 30, 2799, 81, 5561, 27, 284, 2799, 81, 314, 280, 1044, 3464, 43702, 5123, 479, 6706, 17277, 2219, 454, 23893, 716, 91, 339, 96, 1356, 86, 11620, 23893, 25, 284, 630, 32, 5299, 26, 1567, 81, 1473, 32, 6728, 81, 314, 30, 2799, 81, 314, 27, 284, 2799, 81, 426, 280, 1044, 25, 18098, 25, 284, 630, 32, 5299, 26, 1567, 81, 1473, 32, 6728, 81, 426, 30, 2799, 81, 426, 27, 284, 2799, 81, 983, 280, 308, 291, 1044, 25, 53, 16406, 5747, 11094, 1736, 7732, 1736, 18098, 1736, 2727, 1736, 37, 42, 32, 34, 32, 36, 35, 36, 39, 32, 35, 35, 35, 1736, 25, 291, 1044, 4484, 11250, 1736, 11226, 81, 725, 683, 284, 630, 32, 5299, 26, 1567, 81, 1473, 32, 983, 30, 2799, 81, 983, 27, 284, 2799, 81, 2076, 280, 308, 291, 1044, 25, 3754, 74, 2484, 44, 301, 34, 44, 101, 111, 9964, 74, 3270, 44, 301, 35, 44, 101, 111, 5380, 44, 301, 36, 44, 101, 16805, 1643, 26, 324, 2799, 81, 314, 30, 2799, 81, 426, 30, 2799, 81, 983, 490, 284, 2799, 81, 4021, 81, 983, 280, 308, 291, 1044, 25, 53, 16406, 5747, 11094, 1736, 7732, 1736, 18098, 1736, 2727, 1736, 37, 30865, 284, 2799, 81, 4021, 280, 308, 103, 15907, 34, 44, 101, 111, 301, 35, 44, 101, 16805, 1643, 26, 3140, 81, 314, 30, 2799, 81, 4021, 81, 983, 490, 284, 630, 1114, 1006, 936, 1175, 9634, 26, 1567, 81, 1473, 30, 2799, 81, 2076, 30, 2799, 81, 4021, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 15798, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 9, 9, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 11, 11, 11, 11, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 9, 8, 10, 9, 10, 8, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 7, 7, 7, 8, 8, 7, 7, 9, 9, 8, 9, 9, 9, 9, 7, 4, 4, 7, 7, 6, 6, 10, 9, 10, 8, 9, 9, 8, 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, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 7, 7, 8, 8, 7, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8, 8, 7, 4, 4, 7, 7, 6, 6, 8, 8, 8, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8, 8, 7, 4, 4, 7, 7, 6, 6, 7, 7, 10, 10, 10, 10, 10, 11, 10, 11, 10, 11, 10, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 8, 8, 10, 10, 11, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 7, 7, 8, 8, 7, 4, 4, 7, 7, 6, 6, 7, 7, 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, 10, 9, 9, 9, 10, 10, 9, 9, 10, 10, 9, 9, 10, 10, 9, 4, 4, 7, 7, 7, 7, 6, 6, 7, 7, 9, 9, 9, 9, 9, 10, 9, 10, 9, 10, 9, 10, 9, 9, 4, 4, 7, 7, 6, 6, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 10, 10, 10, 9, 9, 10, 10, 10, 10, 9, 4, 4, 7, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 3, 3, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 5, 5, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 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, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 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, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 2, 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, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 4, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]