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, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 18452, 81, 37389, 81, 2142, 203, 4021, 81, 2310, 44, 2648, 461, 3345, 2604, 26, 101, 27, 372, 23244, 65, 18857, 2869, 32, 203, 2310, 44, 284, 429, 2648, 461, 3345, 2604, 26, 101, 27, 372, 23244, 65, 18857, 2869, 32, 203, 2116, 44, 313, 72, 36627, 12368, 274, 11931, 17937, 359, 1549, 1546, 9084, 4731, 203, 1648, 81, 11043, 44, 313, 36, 32, 36, 20, 203, 2184, 44, 334, 636, 44, 284, 3048, 44, 275, 429, 886, 636, 432, 322, 2604, 32, 886, 5420, 7125, 436, 4467, 2305, 1568, 743, 40782, 7125, 30, 9499, 4279, 30, 461, 45982, 7391, 32, 284, 2129, 44, 861, 334, 2869, 81, 314, 44, 284, 3048, 44, 284, 429, 886, 2484, 432, 322, 2869, 372, 26391, 544, 32, 284, 429, 886, 706, 827, 432, 2869, 81, 314, 438, 5372, 645, 4991, 372, 802, 30, 645, 1503, 225, 36, 32, 39, 32, 284, 20664, 44, 2107, 3798, 730, 81, 314, 785, 334, 2869, 81, 681, 44, 284, 3048, 44, 284, 429, 886, 827, 432, 2869, 372, 26391, 544, 32, 15596, 30, 1755, 45690, 432, 397, 6278, 14762, 438, 5420, 32, 284, 1244, 44, 6278, 730, 284, 16682, 44, 2107, 3798, 730, 785, 334, 1603, 44, 284, 3048, 44, 275, 429, 14071, 322, 2604, 1395, 526, 5024, 556, 40118, 544, 322, 2869, 32, 284, 1244, 44, 5024, 284, 16682, 44, 2107, 2689, 370, 330, 3596, 304, 785, 203, 9971, 81, 10270, 81, 9854, 44, 18452, 81, 37389, 32, 10270, 203, 8886, 44, 334, 429, 16510, 4706, 4886, 883, 526, 1654, 30, 4085, 81, 2554, 81, 3307, 461, 4085, 81, 2554, 81, 9052, 32, 284, 11228, 4335, 5279, 372, 322, 354, 36, 2404, 32, 334, 429, 2894, 432, 35603, 225, 36, 32, 34, 30, 3036, 225, 36, 432, 322, 23244, 65, 18857, 2330, 438, 1654, 32, 203, 15965, 44, 334, 429, 313, 2958, 2377, 225, 36, 32, 40, 20, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 31, 636, 44, 1487, 312, 2604, 334, 18452, 81, 37389, 81, 2142, 44, 284, 636, 44, 11351, 284, 1603, 44, 5024, 203, 31, 636, 44, 2604, 312, 2869, 45, 6892, 322, 2604, 415, 561, 1957, 646, 2307, 334, 18452, 81, 37389, 81, 2142, 44, 284, 636, 44, 17610, 1623, 7397, 284, 2869, 81, 314, 44, 313, 41, 37, 37, 37, 37, 34, 34, 39, 20, 284, 1603, 44, 5024, 334, 5258, 44, 284, 429, 31023, 284, 429, 3082, 1786, 203, 31, 636, 44, 5406, 481, 312, 2869, 334, 18452, 81, 37389, 81, 2142, 44, 284, 636, 44, 31023, 284, 2869, 81, 314, 44, 313, 41, 37, 37, 37, 37, 34, 34, 39, 20, 284, 1603, 44, 40118, 203, 21, 1513, 13560, 312, 2604, 2329, 5406, 1414, 1169, 322, 6086 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 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, 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 ]
[ 0, 0, 0, 0, 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, 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, 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 ]
[ 505, 13411, 505, 280, 313, 1617, 33, 3483, 33, 69, 8407, 33, 3653, 33, 9881, 88, 43, 34, 32, 978, 261, 36, 34, 35, 38, 33, 34, 43, 33, 36, 41, 225, 35, 36, 44, 39, 35, 44, 38, 37, 485, 672, 97, 20, 203, 465, 358, 8407, 32, 1733, 203, 1070, 2616, 11377, 5240, 1188, 1015, 81, 464, 81, 452, 81, 2121, 203, 980, 38850, 280, 2107, 9881, 88, 43, 34, 370, 330, 88, 43, 34, 785, 203, 589, 4450, 26, 2121, 711, 284, 1015, 81, 464, 81, 452, 81, 2121, 26, 2121, 27, 284, 296, 980, 280, 4533, 32, 22346, 26, 980, 38850, 27, 556, 330, 88, 43, 34, 25, 284, 4533, 710, 7321, 8265, 785, 225, 280, 296, 980, 284, 4533, 710, 56, 43, 34, 785, 647, 280, 296, 980, 284, 4533, 710, 2514, 7321, 8265, 785, 225, 280, 8493, 7321, 8265, 25, 284, 4533, 710, 2514, 56, 43, 34, 785, 647, 280, 8493, 56, 43, 34, 25, 284, 4533, 710, 2514, 7321, 8265, 6880, 785, 280, 358, 8407, 32, 1733, 32, 1583, 1881, 24542, 7321, 8265, 6880, 429, 18483, 1102, 683, 284, 4533, 710, 2514, 56, 43, 34, 6880, 785, 280, 358, 8407, 32, 1733, 32, 1583, 1881, 24542, 56, 43, 34, 6880, 429, 18483, 1102, 683, 203, 589, 5375, 26, 2121, 711, 284, 442, 4533, 32, 22346, 26, 980, 38850, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 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, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 3, 3, 2, 2, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 6, 5, 2, 2, 5, 4, 4, 7, 8, 7, 8, 8, 7, 5, 5, 7, 7, 7, 7, 2, 2, 5, 7, 7, 7, 4, 4, 4, 5, 2, 2, 5, 7, 7, 7, 7, 4, 4, 4, 5, 2, 2, 5, 7, 7, 7, 7, 4, 4, 4, 6, 6, 6, 2, 2, 5, 7, 7, 7, 7, 7, 4, 4, 4, 6, 6, 6, 6, 2, 2, 5, 7, 7, 7, 7, 7, 4, 4, 8, 7, 8, 6, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 7, 7, 7, 7, 7, 7, 4, 4, 8, 7, 8, 6, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 6, 5, 6, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 4, 4, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 1, 1, 2, 0, 0, 0, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 2, 1, 2, 5, 5, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1673, 2304, 32, 15697, 1188, 2290, 81, 21823, 203, 465, 316, 203, 465, 16539, 203, 465, 5237, 203, 465, 29590, 203, 1070, 341, 1753, 311, 1384, 1188, 1974, 619, 341, 385, 1877, 203, 1070, 341, 1753, 311, 1384, 32, 1877, 32, 3242, 1188, 15463, 30, 15463, 1175, 30, 622, 81, 5665, 81, 426, 203, 823, 677, 89, 3350, 26, 105, 385, 1877, 32, 3242, 32, 32253, 3350, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 630, 32, 3375, 81, 6933, 280, 10306, 32, 3235, 440, 3375, 81, 6933, 392, 15463, 27, 291, 341, 385, 1877, 32, 3242, 32, 32253, 3350, 3667, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 27, 203, 823, 5575, 3350, 26, 105, 385, 1877, 32, 3242, 32, 7546, 3350, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 4583, 81, 6933, 280, 10306, 32, 3235, 440, 3375, 81, 6933, 392, 15463, 27, 291, 341, 385, 1877, 32, 3242, 32, 7546, 3350, 3667, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 27, 291, 630, 32, 3375, 81, 6933, 280, 4583, 81, 6933, 284, 665, 1487, 81, 6586, 26, 784, 30, 636, 30, 2488, 47, 2521, 711, 291, 2181, 280, 1605, 291, 415, 2488, 438, 646, 1665, 44, 324, 415, 19326, 26, 612, 30, 313, 5567, 35, 10280, 400, 2488, 280, 2488, 32, 5567, 35, 324, 2181, 32, 1689, 26, 612, 27, 291, 630, 32, 2912, 440, 6586, 392, 636, 30, 319, 1132, 27, 284, 665, 16280, 81, 1170, 81, 1436, 26, 784, 30, 1474, 30, 1519, 47, 2521, 711, 291, 2181, 280, 3037, 287, 15917, 47, 1643, 6069, 58, 392, 7915, 9833, 392, 4825, 108, 392, 7915, 23455, 6132, 101, 20, 904, 1474, 79, 291, 415, 1519, 438, 646, 1665, 44, 324, 2181, 32, 1689, 13692, 657, 324, 2181, 32, 1689, 26, 983, 27, 291, 706, 280, 630, 32, 2912, 440, 751, 392, 319, 1132, 27, 291, 442, 428, 784, 32, 3375, 81, 6933, 26, 784, 30, 9637, 35, 27, 436, 9637, 35, 328, 706, 32, 2998, 5528, 34, 3830, 284, 665, 1245, 26, 784, 30, 1695, 81, 3375, 47, 2521, 30, 1519, 47, 2521, 711, 291, 2181, 280, 3037, 287, 15917, 47, 1643, 6069, 58, 392, 7915, 9833, 392, 4825, 108, 392, 7915, 1347, 31, 2302, 3838, 1446, 291, 415, 1695, 81, 3375, 438, 646, 1665, 44, 324, 2181, 32, 1689, 4912, 101, 33201, 904, 1695, 81, 3375, 32, 5567, 35, 27, 291, 415, 1519, 438, 646, 1665, 44, 324, 2181, 32, 1689, 13692, 657, 324, 2181, 32, 1689, 26, 983, 27, 291, 706, 280, 630, 32, 2912, 440, 751, 392, 319, 1132, 27, 291, 442, 428, 784, 32, 3375, 81, 6933, 26, 784, 30, 9637, 35, 27, 436, 9637, 35, 328, 706, 32, 2998, 5528, 34, 657, 415, 9637, 35, 79, 284, 665, 1188, 81, 2675, 26, 784, 30, 7841, 30, 16469, 81, 998, 711, 291, 623, 29590, 32, 11049, 24723, 974, 346, 619, 296, 44, 324, 296, 32, 1821, 26, 2675, 32, 4903, 27, 324, 296, 32, 9321, 346, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 5, 5, 5, 4, 5, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 4, 4, 10, 10, 9, 10, 8, 9, 9, 7, 8, 8, 8, 7, 7, 9, 7, 7, 9, 7, 0, 1, 1, 2, 2, 5, 5, 5, 4, 5, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 4, 4, 10, 10, 9, 10, 8, 9, 9, 7, 8, 8, 8, 7, 7, 9, 7, 7, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 5, 7, 9, 10, 9, 9, 11, 11, 11, 7, 7, 10, 10, 11, 12, 12, 6, 6, 9, 10, 9, 10, 9, 4, 4, 7, 8, 7, 9, 9, 7, 7, 7, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 10, 10, 10, 10, 8, 8, 7, 4, 4, 5, 6, 6, 6, 5, 5, 5, 9, 10, 9, 11, 6, 6, 9, 10, 9, 10, 9, 4, 4, 6, 6, 8, 9, 8, 10, 10, 8, 10, 8, 4, 4, 5, 9, 8, 9, 9, 9, 8, 9, 8, 8, 9, 8, 6, 7, 8, 7, 7, 9, 10, 9, 12, 11, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 6, 6, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 9, 9, 9, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 5, 9, 10, 9, 12, 12, 10, 10, 12, 12, 11, 12, 12, 9, 4, 4, 5, 6, 6, 6, 5, 5, 5, 9, 10, 9, 11, 6, 6, 9, 10, 9, 10, 9, 4, 4, 6, 6, 8, 9, 8, 10, 10, 8, 10, 8, 4, 4, 5, 9, 8, 9, 9, 9, 8, 9, 8, 8, 9, 8, 6, 7, 8, 7, 7, 9, 10, 9, 12, 11, 6, 7, 8, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 10, 11, 11, 11, 10, 8, 8, 5, 5, 5, 9, 10, 9, 11, 10, 11, 9, 6, 6, 9, 10, 9, 6 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 5, 5, 3, 3, 2, 2, 0, 6, 6, 0, 0, 0, 1, 2, 1, 4, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 7, 7, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 8, 8, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 8, 8, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 7, 7, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 4, 4, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 4, 4, 3, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 5, 2, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 4, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 3, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 4, 4, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 2, 1, 3 ]
[ 465, 7138, 203, 465, 26457, 42, 40, 34, 35, 203, 1070, 34856, 32, 1237, 32, 26878, 32, 7924, 1188, 24144, 81, 5634, 619, 10166, 81, 104, 36, 35, 203, 1070, 34856, 32, 1237, 32, 26878, 32, 7924, 1188, 5016, 81, 1338, 203, 1070, 34856, 32, 1237, 32, 26878, 32, 7924, 1188, 13602, 619, 13602, 81, 104, 36, 35, 203, 1070, 34856, 1188, 24144, 81, 20840, 203, 1070, 34856, 32, 7924, 1188, 4125, 619, 7596, 81, 1237, 203, 1070, 34856, 32, 7924, 1188, 2022, 45970, 203, 1070, 34856, 1188, 1619, 203, 1070, 34856, 1188, 3082, 203, 1070, 34856, 1188, 3756, 203, 1070, 34856, 1188, 2719, 1363, 203, 1070, 34856, 1188, 894, 203, 1070, 34856, 32, 4882, 32, 2243, 32, 1237, 32, 26878, 1188, 296, 4062, 203, 1070, 34856, 32, 4882, 32, 2243, 1188, 11152, 81, 2386, 203, 1070, 34856, 32, 4882, 32, 2243, 32, 893, 1188, 11152, 203, 1070, 34856, 32, 4882, 32, 2243, 1188, 2530, 483, 203, 1070, 34856, 32, 4882, 32, 2243, 32, 5740, 1188, 894, 81, 2122, 203, 1070, 2322, 315, 81, 1163, 1188, 8444, 203, 1852, 2223, 81, 7595, 280, 296, 4062, 32, 1852, 2223, 81, 7595, 203, 589, 11152, 81, 2122, 81, 371, 81, 464, 26, 1819, 30, 6869, 47, 2521, 711, 284, 665, 1156, 9539, 81, 2122, 26, 7003, 30, 24144, 81, 5634, 30, 5556, 3272, 81, 269, 30, 4459, 81, 269, 30, 3408, 30, 6869, 711, 291, 442, 5436, 26, 858, 81, 2122, 32, 9539, 81, 2122, 30, 528, 5298, 47, 7003, 30, 528, 24144, 81, 5634, 47, 23724, 81, 5634, 30, 528, 3304, 81, 20840, 47, 23724, 81, 5634, 30, 528, 3272, 81, 269, 47, 4524, 81, 269, 30, 528, 4459, 81, 269, 47, 6368, 81, 269, 30, 528, 3408, 47, 2035, 30, 528, 6869, 47, 7073, 27, 284, 415, 6869, 44, 291, 442, 428, 505, 9539, 81, 2122, 440, 31205, 31, 7924, 392, 313, 5634, 31, 36, 392, 7686, 7138, 32, 6665, 26, 36, 34, 35, 36, 30, 225, 35, 35, 30, 225, 35, 38, 30, 225, 43, 30, 225, 39, 37, 30, 225, 36, 39, 30, 225, 34, 471, 7686, 7138, 32, 6665, 26, 36, 34, 35, 36, 30, 225, 35, 36, 30, 225, 36, 40, 30, 225, 35, 38, 30, 225, 38, 39, 30, 225, 36, 39, 30, 225, 34, 471, 7686, 313, 9539, 81, 2035, 31, 35, 392, 2933, 471, 400, 1156, 9539, 81, 2122, 440, 31205, 31, 13261, 392, 313, 3259, 392, 7686, 7138, 32, 6665, 26, 36, 34, 35, 36, 30, 225, 35, 35, 30, 225, 35, 38, 30, 225, 43, 30, 225, 39, 41, 30, 225, 37, 30, 225, 34, 471, 7686, 7138, 32, 6665, 26, 36, 34, 35, 36, 30, 225, 35, 36, 30, 225, 36, 40, 30, 225, 35, 38, 30, 225, 38, 39, 30, 225, 36, 39, 30, 225, 34, 471, 7686, 313, 9539, 81, 2035, 31, 35, 392, 2933, 471, 400, 1156, 9539, 81, 2122, 440, 31205, 31, 4573, 392, 313, 3259, 392, 7686, 7138, 32, 6665, 26, 36, 34, 35, 36, 30, 225, 35, 35, 30, 225, 35, 40, 30, 225, 41, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 3, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 7, 8, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 2, 2, 3, 3, 3, 3, 5, 8, 8, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 8, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 10, 8, 8, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 10, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 6, 6, 8, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 8, 8, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 10, 10, 11, 11, 10, 10, 11, 10, 10, 11, 10, 8, 8, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 10, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 6, 6, 8, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 8, 8, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 10 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 0, 3, 3, 2, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 3, 3, 2, 2, 2, 2, 0, 5, 5, 5, 5, 0, 0, 0, 6, 6, 1, 2, 6, 6, 3, 3, 2, 2, 0, 7, 7, 1, 2, 7, 7, 0, 0, 8, 8, 8, 8, 0, 9, 9, 9, 9, 0, 10, 10, 10, 10, 0, 11, 11, 11, 11, 0, 0, 12, 12, 12, 12, 0, 13, 13, 1, 2, 1, 4, 1, 6, 1, 8, 13, 13, 0, 0, 14, 14, 1, 2, 1, 4, 14, 14, 0, 0, 0, 15, 15, 1, 2, 1, 4, 1, 6, 15, 15, 0, 16, 16, 1, 2, 1, 4, 16, 16, 0, 0, 17, 17, 1, 2, 1, 4, 1, 6, 17, 17, 0, 0, 0, 18, 18, 0, 0, 0, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 20, 20, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 20, 20, 0, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 1, 0, 0, 9, 2, 2, 2, 1, 1, 1, 0, 0, 11, 2, 2, 2, 1, 1, 1, 13, 2, 1, 1, 1, 15, 2, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 1, 1, 9, 9, 1, 1, 11, 11, 1, 1, 13, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 1, 11, 11, 1, 1, 13, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 1, 1, 9, 9, 1, 1, 11, 1, 1, 13, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 1, 11, 11, 1, 1, 13, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 7062, 1188, 6216, 81, 5248, 203, 9138, 81, 5248, 32, 3789, 81, 17030, 346, 203, 1070, 17596, 32, 5983, 32, 5983, 2214, 1188, 8145, 2214, 203, 1070, 17596, 32, 2946, 1188, 1171, 203, 465, 2322, 203, 332, 81, 4882, 280, 301, 284, 313, 23125, 20, 499, 284, 301, 291, 313, 7095, 20, 499, 3447, 101, 36, 87, 3918, 291, 313, 34019, 20, 499, 3447, 93, 13369, 392, 313, 742, 100, 3918, 291, 313, 6876, 20, 499, 3447, 8183, 3918, 284, 801, 284, 313, 1977, 20, 499, 284, 301, 291, 313, 7095, 20, 499, 3447, 1676, 542, 86, 392, 313, 5540, 483, 3569, 31, 92, 2142, 392, 313, 22665, 3918, 291, 313, 34019, 20, 499, 6663, 291, 313, 6876, 20, 499, 3447, 8183, 3918, 284, 801, 284, 313, 46966, 20, 499, 284, 301, 291, 313, 7095, 20, 499, 3447, 99, 22058, 3918, 291, 313, 34019, 20, 499, 6663, 291, 313, 6876, 20, 499, 3447, 8183, 3918, 284, 320, 203, 111, 203, 589, 4450, 81, 2957, 26, 23125, 30, 1760, 30, 32426, 30, 827, 711, 284, 30795, 81, 5983, 280, 2149, 284, 32426, 81, 5983, 280, 2149, 284, 1760, 81, 5983, 280, 2149, 284, 3488, 280, 301, 291, 313, 1648, 20, 6019, 499, 225, 35, 32, 34, 30, 291, 313, 2024, 81, 5660, 20, 2033, 499, 4320, 291, 313, 5983, 81, 5660, 20, 261, 499, 2322, 32, 33115, 1026, 291, 313, 23125, 20, 5688, 499, 3447, 426, 20, 499, 30795, 30, 262, 313, 5983, 563, 30795, 81, 5983, 801, 291, 313, 46966, 20, 5688, 499, 3447, 426, 20, 499, 32426, 30, 264, 313, 5983, 563, 32426, 81, 5983, 801, 291, 313, 1977, 20, 4696, 499, 3447, 426, 20, 499, 1760, 30, 313, 5983, 563, 1760, 81, 5983, 801, 284, 320, 284, 442, 3488, 203, 589, 894, 2262, 284, 1459, 9670, 28, 79, 15593, 886, 8145, 2297, 657, 284, 10114, 81, 2516, 280, 3447, 7095, 392, 313, 34019, 392, 313, 6876, 3612, 284, 436, 273, 328, 10114, 81, 2516, 499, 291, 436, 30795, 328, 225, 332, 81, 4882, 1365, 23125, 15544, 102, 79, 499, 324, 436, 1760, 328, 225, 332, 81, 4882, 1365, 1977, 15544, 102, 79, 499, 400, 436, 32426, 328, 225, 332, 81, 4882, 1365, 46966, 15544, 102, 79, 499, 528, 1459, 440, 264, 9650, 79, 313, 474, 30795, 474, 313, 313, 474, 1760, 225, 474, 313, 313, 474, 32426, 27, 528, 1596, 499, 715, 3570, 280, 4450, 81, 2957, 26, 23125, 30, 1760, 30, 32426, 30, 273, 27, 715, 3488, 280, 8145, 2214, 32, 1297, 2825, 26, 2957, 27, 715, 17596, 32, 1366, 346, 715, 17596, 32, 4048, 346, 528, 2940, 308, 22239, 30, 22210, 27, 619, 484, 499, 715, 415, 827, 26, 327, 14585, 426, 505, 610, 313, 22239, 20, 461, 273, 610, 313, 6876, 20, 499, 1014, 1459, 440, 351, 12633, 657, 715, 4348, 827, 26, 327, 14585, 426, 505, 610, 313, 35086, 924, 20 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 4, 4, 4, 3, 4, 4, 4, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 4, 4, 5, 5, 8, 8, 6, 6, 9, 9, 9, 9, 5, 5, 8, 8, 6, 6, 9, 9, 9, 7, 9, 9, 9, 5, 5, 8, 8, 6, 6, 9, 9, 5, 5, 3, 3, 6, 6, 4, 4, 4, 5, 5, 8, 8, 6, 6, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 5, 5, 8, 8, 6, 6, 5, 5, 8, 8, 6, 6, 9, 9, 5, 5, 3, 3, 6, 6, 4, 4, 4, 5, 5, 8, 8, 6, 6, 9, 9, 9, 5, 5, 8, 8, 6, 6, 5, 5, 8, 8, 6, 6, 9, 9, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 4, 4, 5, 5, 8, 8, 6, 6, 6, 7, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 6, 6, 5, 5, 8, 8, 8, 8, 6, 6, 6, 8, 9, 8, 5, 5, 8, 8, 6, 6, 6, 10, 10, 8, 8, 7, 7, 7, 10, 10, 8, 9, 9, 7, 5, 5, 8, 8, 6, 6, 6, 10, 10, 8, 8, 7, 7, 7, 10, 10, 8, 9, 9, 7, 5, 5, 8, 8, 6, 6, 6, 10, 10, 8, 8, 7, 7, 10, 10, 8, 9, 9, 7, 5, 5, 2, 2, 3, 0, 1, 1, 2, 1, 1, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 5, 5, 5, 8, 8, 8, 7, 9, 9, 7, 6, 5, 5, 5, 7, 7, 7, 10, 10, 10, 9, 11, 11, 9, 8, 7, 7, 7, 9, 9, 9, 12, 12, 12, 11, 13, 13, 11, 10, 9, 9, 9, 13, 20, 20, 20, 20, 18, 18, 17, 17, 19, 16, 16, 15, 15, 15, 17, 14, 14, 13, 10, 10, 11, 11, 11, 14, 14, 16, 16, 16, 17, 16, 16, 16, 16, 16, 16, 16, 12, 12, 14, 14, 17, 16, 17, 17, 16, 17, 16, 12, 12, 15, 16, 15, 12, 12, 15, 16, 15, 11, 11, 12, 15, 14, 14, 14, 13, 13, 12, 12, 12, 14, 19, 20, 19, 18, 18, 16, 16, 18, 18, 15, 15, 16, 16, 18, 18, 14, 14, 14, 18, 20, 20, 20, 14, 14, 15, 20, 21, 20, 19, 19, 17, 17, 19, 19, 19 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 6, 6, 1, 2, 1, 4, 4, 6, 6, 0, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 5, 5, 1, 2, 2, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 3, 3, 2, 2, 1, 2, 5, 5, 1, 2, 2, 2, 2, 2, 1, 2, 5, 5, 5, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 2, 2, 1, 2, 5, 5, 1, 2, 2, 2, 2, 2, 0, 10, 10, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 10, 10, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 3, 3, 2, 2, 1, 1, 1, 2, 5, 5, 5, 0, 2, 1, 2, 2, 1, 2, 7, 7, 7, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 9, 9, 9, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 11, 11, 11, 1, 2, 1, 1, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 4, 4, 4, 0, 11, 11, 2, 11, 11, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 2, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 5, 5, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 3, 1, 0, 0, 0, 1, 1, 3, 3, 3, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 4, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 48885, 38, 1188, 10701, 2852, 30, 34031, 203, 1270, 44, 284, 617, 1070, 17997, 42, 280, 10701, 2852, 32, 16606, 32, 1070, 17997, 42, 203, 7343, 29316, 44, 284, 665, 617, 1070, 17997, 42, 26, 101, 711, 291, 442, 309, 203, 1270, 44, 284, 617, 8644, 280, 34031, 32, 67, 2727, 32, 14923, 6261, 42, 284, 665, 617, 7393, 26, 1819, 30, 1344, 30, 1214, 2733, 365, 711, 291, 442, 34031, 32, 67, 2727, 32, 7393, 26, 1819, 30, 1344, 30, 1214, 2733, 365, 30, 617, 8644, 27, 203, 7343, 29316, 44, 284, 665, 617, 7393, 26, 1819, 30, 1344, 30, 1214, 2733, 365, 711, 291, 442, 34031, 32, 67, 2727, 32, 7393, 26, 1819, 30, 1344, 30, 1214, 2733, 365, 27, 203, 823, 27178, 81, 1241, 26, 1473, 711, 284, 665, 4705, 10816, 26, 784, 30, 3720, 711, 291, 3720, 32, 23725, 2176, 1070, 17997, 42, 440, 1241, 2131, 291, 3720, 32, 8510, 26, 38, 34, 34, 30, 225, 37, 34, 34, 27, 291, 630, 32, 32090, 81, 37, 280, 34031, 32, 33308, 30432, 26, 1241, 27, 291, 630, 32, 32090, 81, 37, 32, 470, 15889, 26, 34, 27, 291, 630, 32, 32090, 81, 37, 32, 470, 10507, 26, 34, 27, 291, 630, 32, 32090, 81, 37, 32, 23725, 2176, 1070, 17997, 42, 440, 32090, 81, 37, 2131, 291, 630, 32, 23599, 280, 7051, 1705, 26, 1241, 27, 291, 2357, 280, 34031, 32, 67, 3713, 346, 291, 2357, 32, 45866, 26, 1815, 27, 291, 2357, 32, 470, 7583, 26, 41, 39, 27, 291, 630, 32, 23599, 32, 21643, 26, 2186, 27, 291, 630, 32, 23599, 32, 470, 2140, 444, 26, 2700, 27, 291, 630, 32, 23599, 32, 23725, 2176, 1070, 17997, 42, 440, 23599, 2131, 291, 630, 32, 32090, 81, 36, 280, 34031, 32, 33308, 30432, 26, 784, 32, 23599, 27, 291, 630, 32, 32090, 81, 36, 32, 470, 15889, 26, 34, 27, 291, 630, 32, 32090, 81, 36, 32, 470, 8041, 37187, 26, 39, 30, 225, 34, 30, 225, 34, 30, 225, 34, 27, 291, 630, 32, 32090, 81, 36, 32, 23725, 2176, 1070, 17997, 42, 440, 32090, 81, 36, 2131, 291, 630, 32, 3365, 2344, 280, 34031, 32, 67, 48587, 346, 291, 630, 32, 3365, 2344, 32, 470, 15889, 26, 34, 27, 291, 630, 32, 3365, 2344, 32, 23725, 2176, 1070, 17997, 42, 440, 3365, 2344, 2131, 291, 630, 32, 1001, 885, 2140, 280, 34031, 32, 67, 13598, 26, 784, 32, 23599, 27, 291, 2357, 280, 34031, 32, 67, 3713, 346, 291, 2357, 32, 45866, 26, 2700, 27, 291, 2357, 32, 470, 7583, 26, 39, 34, 27, 291, 630, 32, 1001, 885, 2140, 32, 21643, 26, 2186, 27, 291, 630, 32, 1001, 885, 2140, 32, 23725, 2176, 1070, 17997, 42, 440, 1001, 885, 2140, 2131, 291, 630, 32, 3365, 2344, 32, 21857, 26, 784, 32, 1001, 885, 2140, 30, 225, 34, 30, 225, 34, 30, 225, 35, 30, 225, 35, 27, 291, 630, 32, 43103, 2140, 280, 34031, 32, 67, 13598, 26, 784, 32, 23599, 27, 291, 2357, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 5, 5, 5, 4, 4, 7, 6, 7, 5, 6, 6, 6, 1, 2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 6, 5, 4, 4, 6, 0, 1, 1, 1, 1, 5, 4, 4, 6, 7, 7, 5, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 8, 9, 9, 7, 8, 7, 8, 7, 7, 7, 7, 8, 8, 7, 7, 8, 7, 1, 2, 2, 2, 2, 2, 4, 5, 5, 6, 5, 5, 5, 5, 6, 6, 5, 4, 4, 6, 9, 10, 10, 8, 9, 8, 9, 8, 8, 8, 8, 9, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 11, 11, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 8, 7, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 8, 7, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 11, 4, 4, 7, 8, 6, 6, 8, 8, 9, 8, 4, 4, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 8, 7, 8, 8, 7, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 11, 11, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 8, 10, 9, 10, 8, 4, 4, 8, 9, 9, 9, 7, 8, 8, 7, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 8, 8, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 11, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 8, 4, 4, 8, 9, 9, 7, 8, 8, 7, 8, 7, 4, 4, 8, 9, 9, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 8, 10, 9, 10, 8, 4, 4, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 8, 7, 8, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 11, 4, 4, 8, 9, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 8, 10, 9, 10, 8, 4, 4, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 1, 3, 3, 3, 3, 3, 3, 0, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0 ]
[ 465, 11171, 203, 465, 7138, 203, 1070, 42797, 32, 2536, 1119, 32, 605, 32, 4266, 32, 33003, 1188, 622, 81, 9539, 81, 2888, 203, 1070, 42797, 32, 2536, 1119, 32, 605, 32, 4266, 32, 36301, 1188, 9823, 20493, 7233, 203, 1070, 42797, 32, 2536, 1119, 32, 605, 32, 4255, 1188, 308, 284, 622, 81, 360, 363, 11743, 81, 4462, 10331, 30, 284, 622, 81, 1251, 81, 979, 81, 23434, 30, 284, 622, 81, 496, 81, 1338, 81, 979, 81, 23434, 30, 284, 622, 81, 923, 81, 761, 30, 284, 622, 81, 923, 81, 5660, 30, 284, 622, 81, 4219, 81, 496, 30, 284, 1930, 81, 4219, 81, 496, 30, 203, 27, 203, 1070, 42797, 32, 2536, 1119, 32, 605, 1188, 27497, 30, 3878, 30, 8745, 30, 1542, 203, 3459, 81, 20736, 81, 19155, 280, 225, 35, 34, 319, 225, 36, 37, 203, 823, 2398, 5454, 7233, 26, 3566, 20493, 7233, 711, 284, 665, 1201, 81, 4219, 81, 496, 26, 324, 630, 30, 4759, 81, 496, 30, 1256, 81, 314, 30, 8702, 81, 426, 30, 1769, 81, 4219, 81, 3651, 711, 291, 630, 32, 25839, 1810, 26, 4219, 81, 496, 30, 27497, 32, 3566, 1240, 27, 291, 630, 32, 5299, 26, 4219, 81, 496, 32, 314, 30, 1256, 81, 314, 27, 291, 630, 32, 5299, 26, 4219, 81, 496, 32, 7891, 81, 426, 30, 8702, 81, 426, 27, 291, 22223, 280, 4759, 81, 496, 32, 371, 81, 25741, 346, 291, 630, 32, 5299, 26, 25741, 32, 1449, 81, 4219, 81, 3651, 30, 1769, 81, 4219, 81, 3651, 27, 284, 665, 894, 81, 2682, 81, 4219, 81, 496, 26, 784, 711, 291, 4759, 81, 496, 280, 1930, 81, 4219, 81, 496, 26, 1802, 35, 30, 1044, 20, 20068, 2680, 558, 392, 1044, 20, 5662, 3270, 392, 7482, 81, 20736, 81, 19155, 27, 291, 630, 32, 862, 81, 4219, 81, 496, 26, 324, 4759, 81, 496, 30, 225, 35, 30, 1044, 20, 5662, 3270, 392, 7482, 81, 20736, 81, 19155, 27, 284, 665, 894, 81, 371, 81, 4219, 81, 496, 26, 784, 711, 291, 1256, 280, 1930, 81, 4219, 81, 496, 26, 1802, 35, 30, 1044, 20, 20068, 2680, 558, 392, 1044, 20, 5662, 3270, 392, 7482, 81, 20736, 81, 19155, 27, 291, 1256, 280, 622, 81, 4219, 81, 496, 26, 35, 27, 291, 630, 32, 6549, 26, 38003, 26, 496, 30, 27497, 32, 3566, 1240, 490, 291, 1256, 32, 1877, 26, 10736, 47, 2700, 27, 291, 630, 32, 23895, 26, 4275, 32, 34747, 30, 622, 81, 4219, 81, 496, 30, 225, 35, 27, 291, 1256, 280, 622, 81, 4219, 81, 496, 26, 35, 30, 4523, 81, 2585, 47, 2700, 27, 291, 1256, 32, 1877, 26, 10736, 47, 1815, 27, 291, 309, 496, 280, 630, 32, 496, 81, 2157, 32, 371, 26, 1160, 32, 3566, 1240, 30, 1256, 32, 314, 27, 291, 309, 496, 32, 16073, 280, 2933, 291, 630, 32, 496, 81, 2157, 32, 3375, 346, 291, 630, 32, 23895, 26, 4275, 32, 19116, 1240, 924, 30, 622, 81, 4219, 81, 496, 30, 1256, 32, 314, 27, 291, 1256, 280, 622, 81, 4219, 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, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 3, 3, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 7, 8, 8, 7, 8, 8, 8, 7, 7, 8, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 7, 7, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8, 8, 7, 4, 4, 6, 6, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 9, 8, 8, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 7, 7, 8, 7, 7, 9, 9, 9, 9, 7, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 9, 8, 8, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 9, 9, 9, 9, 8, 4, 4, 6, 6, 8, 8, 8, 8, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 9, 10, 11, 11, 9, 4, 4, 7, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 8, 8, 8, 8, 7, 7, 8, 7, 4, 4, 6, 6, 8, 8, 8, 8, 8, 9, 8, 8, 10, 10, 9, 10, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 4, 4, 7, 6, 6, 9, 10, 10, 10, 8, 9, 8, 10, 9, 10, 10, 8, 8, 9, 10, 8, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 8, 7, 7, 8, 9, 7, 4, 4, 6, 6, 8, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 4, 1, 6, 1, 8, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 2, 2, 1, 4, 1, 6, 1, 8, 3, 3, 0, 0, 0, 4, 4, 1, 2, 2, 1, 4, 1, 6, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 5, 5, 1, 2, 2, 1, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 7, 7, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 9, 9, 9, 9, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 7, 7, 7, 7, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 2, 1, 7, 7, 7, 7, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 7, 7, 7, 7, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 3, 3, 3, 1, 1, 5, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 3, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 8329, 464, 203, 465, 11412, 203, 465, 19493, 203, 465, 35094, 203, 465, 42406, 203, 465, 5741, 203, 465, 2322, 203, 465, 2322, 32, 983, 203, 465, 316, 203, 465, 22977, 203, 465, 6314, 203, 465, 5237, 203, 465, 29590, 203, 465, 11685, 203, 1070, 1695, 40, 38, 1188, 1984, 4770, 81, 84, 40, 38, 4434, 203, 1070, 4096, 32, 3922, 1188, 12259, 203, 1070, 10773, 1114, 7980, 32, 25931, 1188, 44524, 203, 465, 10773, 203, 1070, 10773, 32, 8524, 1188, 11764, 496, 203, 1070, 10773, 32, 4984, 1188, 1519, 81, 452, 81, 965, 30, 18186, 81, 965, 203, 1070, 10773, 32, 11452, 1188, 308, 284, 14444, 924, 30, 8073, 19834, 10239, 30, 18094, 19834, 27, 203, 1070, 10773, 32, 13471, 1188, 1673, 2304, 81, 13627, 30, 447, 2027, 81, 6691, 81, 22600, 81, 18829, 203, 1070, 10773, 1188, 44636, 38, 36, 39, 3963, 203, 1070, 10773, 32, 2304, 1188, 308, 284, 1476, 81, 27958, 30, 7279, 81, 1515, 30, 24699, 81, 9362, 30, 540, 41718, 30, 1491, 81, 21803, 30, 203, 27, 203, 1070, 10773, 32, 2304, 32, 1707, 1188, 2156, 81, 20759, 203, 1070, 10773, 32, 2304, 32, 7490, 1188, 10525, 81, 751, 203, 1070, 10773, 32, 2304, 32, 43764, 81, 1832, 1188, 5798, 2418, 31081, 81, 2514, 2331, 203, 1070, 10773, 1114, 7980, 32, 2452, 1356, 32, 8121, 1188, 10285, 18879, 203, 1070, 10773, 1114, 7980, 1188, 12870, 81, 5379, 203, 1070, 10773, 1114, 7980, 32, 36612, 32, 2304, 1188, 21982, 518, 81, 426, 203, 1070, 10773, 1114, 7980, 32, 25931, 32, 21332, 1188, 1359, 3922, 203, 15668, 81, 407, 280, 5608, 35893, 25, 203, 4530, 81, 33305, 15412, 280, 308, 35, 30, 225, 34, 27, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 624, 8568, 2597, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3320, 81, 1515, 30, 2179, 81, 2435, 711, 291, 630, 1114, 2613, 81, 1515, 280, 11764, 496, 26, 2613, 81, 1515, 27, 415, 3320, 81, 1515, 813, 1665, 291, 630, 1114, 1643, 81, 2435, 280, 2179, 81, 2435, 284, 665, 10814, 81, 15668, 26, 784, 30, 2552, 30, 2652, 81, 426, 711, 291, 442, 10814, 81, 15668, 26, 324, 630, 1114, 2613, 81, 1515, 30, 2552, 30, 630, 1114, 1643, 81, 2435, 30, 2652, 81, 426, 27, 203, 589, 617, 2613, 81, 979, 81, 1204, 26, 2613, 81, 1515, 30, 2552, 711, 284, 1202, 81, 10031, 280, 428, 1204, 32, 965, 81, 12655, 81, 9854, 79, 284, 415, 2552, 32, 2888, 81, 426, 438, 646, 1665, 461, 2552, 32, 2888, 438, 646, 1665, 44, 291, 1202, 81, 10031, 32, 1689, 440, 26328, 2524, 2009, 1204, 32, 2888, 81, 426, 30, 2552, 32, 2888, 5259, 284, 1202, 81, 965, 280, 5100, 2296, 2524, 26, 678, 81, 10031, 27, 284, 38425, 280, 42406, 32, 5567, 36, 36, 38, 26, 678, 81, 965, 32, 4434, 4251, 6949, 13995, 346, 284, 8710, 280, 428, 46313, 2867, 36, 614, 38425, 77, 36, 44, 38, 614, 38425, 77, 38, 44, 40, 614, 38425, 77, 40 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 3, 3, 4, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 9, 9, 10, 10, 10, 9, 7, 7, 8, 8, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 7, 7, 7, 7, 7, 8, 9, 9, 9, 7, 7, 7, 7, 8, 9, 9, 9, 7, 7, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 5, 5, 4, 4, 7, 6, 7, 7, 7, 7, 7, 5, 2, 2, 3, 6, 7, 7, 7, 5, 5, 5, 4, 4, 6, 7, 5, 5, 5, 3, 3, 3, 8, 8, 7, 8, 7, 11, 10, 9, 12, 11, 12, 12, 12, 10, 10, 11, 12, 10, 2, 2, 5, 5, 4, 4, 8, 7, 6, 7, 7, 7, 6, 2, 2, 4, 4, 8, 9, 9, 9, 9, 8, 11, 11, 11, 10, 11, 10, 7, 7, 6, 2, 2, 4, 4, 7, 6, 8, 6, 5, 6, 8, 7, 8, 6, 5, 6, 8, 7, 8, 6, 5, 6, 8 ]
[ 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, 0, 8, 8, 1, 2, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 12, 12, 0, 13, 13, 0, 14, 14, 0, 15, 15, 0, 0, 15, 15, 0, 0, 0, 0, 0, 0, 0, 16, 16, 1, 2, 16, 16, 0, 17, 17, 1, 2, 1, 4, 17, 17, 0, 18, 18, 0, 19, 19, 1, 2, 19, 19, 0, 0, 20, 20, 1, 2, 20, 20, 0, 0, 0, 0, 20, 20, 0, 0, 0, 21, 21, 1, 2, 21, 21, 21, 21, 0, 21, 21, 0, 0, 21, 21, 0, 21, 0, 22, 22, 1, 2, 22, 22, 0, 0, 0, 22, 22, 0, 0, 0, 0, 0, 0, 0, 0, 23, 23, 23, 23, 0, 0, 0, 0, 0, 24, 24, 1, 2, 24, 24, 24, 24, 0, 0, 24, 24, 0, 0, 24, 24, 0, 0, 24, 24, 0, 24, 24, 0, 0, 24, 24, 24, 0, 25, 25, 1, 2, 1, 4, 25, 25, 0, 0, 0, 26, 26, 1, 2, 1, 4, 26, 26, 0, 0, 0, 27, 27, 1, 2, 1, 4, 4, 4, 27, 27, 0, 0, 0, 0, 0, 0, 28, 28, 1, 2, 1, 4, 4, 1, 6, 28, 28, 0, 0, 29, 29, 1, 2, 29, 29, 0, 0, 0, 30, 30, 1, 2, 1, 4, 1, 6, 30, 30, 0, 0, 0, 0, 31, 31, 1, 2, 1, 4, 1, 6, 31, 31, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 35, 35, 1, 1, 2, 1, 2, 35, 35, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 5, 2, 2, 2, 1, 1, 7, 7, 1, 0, 36, 36, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 36, 36, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 4, 4, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 2, 3, 0, 2, 2, 3, 2, 5, 0, 2, 2, 5, 2, 7, 0 ]
[ 465, 8184, 1498, 318, 81, 278, 32337, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 6436, 619, 2065, 203, 465, 420, 39, 978, 203, 465, 26313, 203, 465, 5523, 203, 1070, 3619, 777, 88, 32, 11382, 32, 16064, 1188, 281, 2051, 81, 39845, 203, 589, 1148, 88, 81, 568, 26, 2875, 66, 899, 30, 225, 672, 63, 3657, 2778, 828, 19877, 30, 38165, 72, 2003, 69, 1970, 69, 2939, 30, 225, 672, 24169, 10740, 30, 596, 1215, 63, 3657, 30, 324, 2492, 1512, 711, 284, 773, 2567, 20768, 3246, 280, 225, 672, 63, 3657, 2778, 828, 19877, 32, 3229, 77, 34, 79, 284, 773, 2567, 609, 280, 225, 672, 24169, 10740, 32, 3229, 77, 36, 79, 284, 773, 2567, 5450, 280, 225, 672, 24169, 10740, 32, 3229, 77, 37, 79, 284, 415, 596, 1215, 63, 3657, 438, 1665, 44, 291, 225, 672, 2143, 88, 34100, 280, 2065, 32, 9880, 2009, 869, 2567, 20768, 3246, 30, 773, 2567, 609, 30, 773, 2567, 5450, 614, 1014, 9710, 47, 2356, 32, 1808, 37, 36, 27, 284, 813, 44, 291, 773, 20354, 280, 225, 35, 34, 34, 291, 2830, 67, 280, 5523, 32, 4084, 26, 1449, 891, 47, 869, 20354, 27, 291, 596, 66, 349, 58, 1479, 39, 280, 308, 466, 1215, 63, 3657, 474, 27491, 474, 596, 26, 2875, 66, 899, 27, 474, 5608, 28144, 39, 683, 291, 296, 274, 58, 1479, 39, 280, 420, 39, 978, 32, 974, 26, 466, 66, 349, 58, 1479, 39, 30, 330, 105, 683, 291, 343, 1421, 2143, 88, 34100, 280, 296, 274, 58, 1479, 39, 32, 1297, 81, 5613, 463, 98, 10784, 81, 1003, 81, 19013, 370, 10631, 308, 869, 2567, 20768, 3246, 30, 12928, 773, 2567, 609, 30, 12928, 773, 2567, 5450, 471, 10631, 9710, 47, 2356, 32, 1808, 37, 36, 27, 291, 2830, 1027, 5334, 280, 26313, 32, 3021, 26, 1977, 47, 6528, 81, 28144, 39, 81, 99, 30, 9111, 2181, 4310, 40437, 2143, 88, 34100, 30, 2830, 67, 30, 773, 2567, 20768, 3246, 490, 291, 2830, 1027, 5334, 32, 470, 26376, 26, 1815, 27, 291, 2830, 1027, 5334, 32, 1366, 346, 284, 436, 5417, 63, 3657, 328, 2155, 26, 869, 2567, 20768, 3246, 711, 291, 773, 15770, 74, 280, 225, 672, 63, 3657, 2778, 828, 19877, 77, 2875, 63, 3657, 30, 225, 35, 79, 291, 773, 15770, 75, 280, 225, 672, 63, 3657, 2778, 828, 19877, 77, 2875, 63, 3657, 30, 225, 36, 79, 291, 773, 15770, 33462, 280, 225, 672, 63, 3657, 2778, 828, 19877, 77, 2875, 63, 3657, 30, 225, 37, 79, 291, 225, 672, 18782, 7756, 280, 281, 2051, 81, 39845, 26, 13608, 72, 2003, 69, 1970, 69, 2939, 77, 34, 614, 6035, 38165, 72, 2003, 69, 1970, 69, 2939, 77, 35, 614, 6035, 773, 15770, 74, 30, 6035, 773, 15770, 75, 30, 6035, 773, 15770, 33462, 27, 291, 225, 672, 2143, 88, 34100, 15770, 280, 2065, 32, 20123, 26, 672, 24169, 10740, 30, 225, 672, 18782, 7756, 6894, 21367, 1665, 30, 1665, 1130, 291, 225, 672, 2143, 88, 34100, 15770, 280, 2065, 32, 1036, 26, 672, 2143, 88, 34100, 15770, 30, 6013, 4310, 34, 30, 225, 35, 471, 9710, 47, 2356, 32, 1808, 37, 36 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 6, 7, 5, 6, 5, 2, 2, 5, 5, 4, 4, 7, 7, 7, 6, 7, 5, 6, 5, 2, 2, 5, 5, 4, 4, 7, 7, 7, 6, 7, 5, 6, 5, 2, 2, 3, 5, 5, 5, 4, 4, 3, 3, 3, 7, 7, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 9, 9, 10, 10, 9, 9, 10, 10, 9, 8, 8, 9, 11, 10, 11, 11, 11, 8, 3, 3, 4, 4, 4, 8, 7, 7, 8, 8, 8, 5, 5, 8, 7, 7, 9, 10, 9, 11, 11, 10, 11, 11, 9, 5, 5, 8, 8, 8, 8, 8, 7, 7, 12, 12, 12, 12, 11, 11, 10, 10, 12, 13, 13, 13, 12, 9, 9, 11, 11, 11, 5, 5, 8, 8, 8, 8, 7, 7, 10, 10, 9, 10, 9, 10, 10, 10, 10, 10, 10, 9, 9, 11, 11, 5, 5, 8, 8, 8, 8, 7, 7, 10, 10, 10, 10, 9, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 10, 10, 10, 11, 11, 10, 10, 10, 11, 11, 10, 9, 9, 10, 12, 11, 12, 12, 12, 9, 5, 5, 8, 8, 7, 7, 9, 10, 9, 11, 10, 11, 11, 11, 11, 11, 11, 9, 9, 9, 10, 12, 12, 12, 12, 11, 11, 12, 11, 11, 12, 12, 12, 11, 5, 5, 9, 9, 8, 9, 9, 8, 9, 8, 5, 5, 9, 9, 8, 9, 8, 2, 2, 3, 4, 4, 3, 3, 5, 6, 6, 6, 6, 5, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 7, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 7, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 7, 4, 4, 7, 7, 7, 6, 6, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 8, 8, 10, 10, 10, 10, 10, 10, 9, 10, 9, 8, 8, 9, 9, 8, 8, 8, 9, 9, 8, 8, 8, 9, 9, 8, 4, 4, 7, 7, 7, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 9, 9, 9, 9, 9, 9, 4, 4, 7, 7, 7, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 9, 9, 8, 8, 9, 11, 10, 10, 11, 10, 8, 9, 11, 10, 11, 11, 11 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 5, 5, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 2, 2, 7, 7, 7, 2, 2, 9, 9, 9, 2, 2, 2, 11, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 3, 0, 0, 0, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 1, 3, 0, 2, 2, 2, 2, 1, 3, 3, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 3, 1, 1, 5, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 2, 5, 5, 5, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 4, 4, 4, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 3, 2, 3, 1, 1, 5, 5, 1, 1, 1, 7, 7, 1, 1, 1, 9, 9, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 3, 3, 3, 3, 3, 3, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 2, 3, 2, 1, 5, 0, 2, 2, 2, 2 ]
[ 1070, 30902, 32, 494, 1188, 11934, 16109, 203, 1070, 30902, 32, 2602, 32, 7672, 1188, 3420, 203, 1070, 30902, 32, 2602, 32, 8239, 1188, 2098, 35984, 203, 1070, 30902, 32, 494, 32, 14806, 1188, 3139, 1394, 3595, 203, 1070, 38879, 651, 32, 1199, 1188, 10343, 203, 589, 622, 26, 2848, 30, 1858, 30, 7248, 47, 2521, 30, 636, 47, 2521, 30, 804, 47, 2521, 30, 2898, 47, 2521, 711, 284, 2467, 280, 3523, 32, 1217, 26, 1274, 27, 284, 415, 7248, 438, 646, 1665, 44, 291, 2467, 280, 2467, 32, 2029, 81, 1170, 26, 7895, 47, 7895, 27, 284, 415, 636, 438, 646, 1665, 44, 291, 2467, 280, 2761, 81, 426, 26, 1217, 30, 1858, 30, 636, 30, 2898, 27, 284, 415, 804, 438, 646, 1665, 44, 291, 1056, 280, 2467, 32, 371, 26, 314, 27, 291, 415, 1056, 438, 1665, 44, 324, 3636, 3139, 1394, 3595, 291, 813, 44, 324, 442, 1056, 284, 442, 2467, 32, 658, 346, 203, 589, 2761, 81, 426, 26, 1217, 30, 1858, 30, 636, 30, 2898, 30, 636, 81, 4890, 1057, 426, 7831, 284, 415, 2898, 438, 1665, 44, 291, 2467, 280, 2467, 32, 2029, 26, 32110, 26, 1274, 30, 636, 81, 4890, 27, 610, 636, 27, 284, 813, 44, 291, 4467, 81, 1274, 280, 1858, 32, 4243, 81, 1274, 291, 636, 81, 2592, 280, 18623, 26, 4243, 81, 1274, 30, 636, 81, 4890, 27, 291, 2467, 280, 2467, 32, 2524, 26, 4243, 81, 1274, 27, 291, 2467, 280, 2467, 32, 2029, 26, 4243, 81, 1274, 32, 13615, 81, 314, 610, 1858, 32, 314, 27, 291, 2467, 280, 2467, 32, 2029, 26, 4243, 81, 1274, 32, 1696, 81, 4189, 81, 314, 610, 2898, 32, 314, 27, 291, 415, 6937, 26, 426, 30, 8825, 711, 324, 2467, 280, 2467, 32, 2029, 26, 426, 81, 2592, 328, 636, 27, 291, 813, 44, 324, 2467, 280, 2467, 32, 2029, 26, 426, 81, 2592, 610, 636, 27, 284, 442, 2467, 203, 589, 2532, 81, 1170, 81, 426, 26, 1217, 30, 1858, 30, 2898, 47, 2521, 30, 319, 7615, 81, 11868, 30, 1115, 5321, 711, 284, 636, 81, 4890, 280, 10306, 32, 3235, 463, 426, 370, 330, 426, 683, 284, 415, 10306, 44, 291, 3636, 10091, 463, 10203, 11659, 4209, 44, 904, 101, 25, 904, 10306, 32, 3494, 1157, 284, 2532, 81, 6057, 280, 1605, 284, 415, 2898, 438, 1665, 44, 291, 2467, 280, 2467, 32, 11925, 2524, 26, 1274, 32, 4243, 81, 1696, 27, 291, 2532, 81, 6057, 32, 1689, 26, 1298, 32, 5729, 26, 32110, 26, 1274, 32, 4243, 81, 1274, 30, 636, 81, 4890, 2610, 284, 813, 44, 291, 6717, 81, 11868, 280, 308, 4189, 30, 829, 474, 6717, 81, 11868, 284, 436, 2898, 328, 6717, 81, 11868, 44, 291, 4467, 81, 1274, 280, 11934, 16109, 26, 1274, 32, 4243, 81, 1274, 27, 291, 2467, 280, 2467, 32, 11925, 2524, 26, 4243, 81, 1274, 27, 291, 2467, 280, 2467, 32, 2029, 26, 4243, 81, 1274, 32, 13615, 81, 314, 610, 1858, 32, 314, 27, 291, 2467, 280, 2467, 32, 2029, 26, 4243, 81, 1274, 32, 1696, 81, 4189 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 2, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 7, 6, 2, 2, 3, 4, 4, 4, 3, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 2, 2, 3, 4, 4, 4, 3, 3, 3, 6, 6, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 3, 3, 3, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 7, 8, 8, 5, 5, 6, 6, 6, 8, 2, 2, 3, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 5, 5, 1, 1, 3, 4, 4, 3, 3, 3, 6, 6, 8, 9, 8, 11, 11, 12, 11, 11, 12, 12, 11, 9, 9, 8, 3, 3, 4, 4, 4, 8, 8, 7, 7, 8, 9, 9, 9, 5, 5, 8, 8, 7, 7, 9, 10, 10, 10, 9, 9, 10, 10, 9, 5, 5, 7, 7, 9, 10, 9, 10, 10, 10, 9, 5, 5, 7, 7, 9, 10, 9, 12, 12, 12, 11, 12, 12, 12, 10, 10, 11, 12, 9, 5, 5, 7, 7, 9, 10, 9, 12, 12, 12, 11, 12, 12, 12, 12, 12, 10, 10, 11, 12, 9, 5, 5, 6, 8, 9, 8, 8, 8, 6, 6, 9, 9, 11, 12, 11, 13, 13, 13, 12, 12, 11, 6, 6, 7, 7, 7, 10, 10, 12, 13, 12, 14, 14, 14, 13, 13, 12, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 2, 4, 4, 4, 2, 2, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 8, 8, 6, 8, 8, 2, 2, 3, 3, 3, 3, 5, 7, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 11, 10, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 8, 9, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 8, 8, 7, 8, 7, 10, 9, 10, 9, 11, 11, 13, 12, 13, 13, 13, 11, 11, 12, 12, 11, 3, 3, 4, 4, 4, 8, 8, 7, 7, 10, 9, 9, 8, 8, 9, 9, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 7, 7, 6, 6, 8, 8, 10, 9, 10, 10, 10, 8, 4, 4, 6, 6, 8, 9, 9, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 8, 11, 11, 11, 10, 11, 11, 11, 9, 9, 10, 11, 8, 4, 4, 6, 6, 8, 9, 8, 11, 11, 11, 10, 11, 11, 11 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 4, 4, 4, 0, 4, 4, 4, 0, 2, 1, 0, 6, 6, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 9, 1, 2, 6, 6, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 5, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 5, 5, 4, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 3, 1, 1, 3, 3, 3, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 1, 3, 3, 4, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 5, 5, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 5, 5, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2 ]
[ 465, 1133, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 823, 4947, 631, 81, 26217, 81, 5110, 26, 500, 104, 32, 500, 104, 81, 5566, 711, 664, 617, 426, 28067, 4548, 631, 32, 26217, 32, 5110, 25, 664, 617, 2310, 280, 330, 35021, 23083, 672, 21680, 4517, 9953, 9082, 25, 664, 617, 6057, 280, 301, 291, 330, 11930, 81, 3631, 950, 3829, 32, 11374, 36, 11374, 463, 3935, 32, 11930, 370, 330, 7007, 1019, 81, 957, 81, 2808, 370, 330, 7007, 1019, 81, 314, 370, 330, 11930, 81, 314, 370, 330, 37490, 370, 2129, 47, 1815, 471, 291, 330, 770, 81, 1070, 950, 3829, 32, 770, 463, 2130, 2821, 370, 2129, 47, 1815, 471, 291, 330, 770, 81, 452, 950, 3829, 32, 770, 463, 2102, 2821, 370, 2129, 47, 1815, 471, 284, 320, 664, 617, 10514, 280, 301, 291, 330, 770, 81, 1070, 950, 9254, 319, 83, 44, 1133, 32, 20834, 15339, 75, 31, 34, 35, 31, 34, 35, 1425, 291, 330, 770, 81, 452, 950, 9254, 319, 83, 44, 1133, 32, 20834, 15339, 75, 9299, 95, 9299, 86, 1425, 284, 320, 664, 665, 1459, 81, 3734, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 1619, 47, 2521, 711, 291, 415, 1619, 438, 1665, 44, 324, 1619, 280, 2149, 291, 19634, 280, 5053, 3631, 950, 1619, 32, 371, 463, 2480, 81, 3631, 370, 11544, 111, 291, 736, 280, 630, 32, 850, 26, 2446, 30, 12373, 30, 9668, 30, 1619, 47, 1819, 27, 291, 736, 280, 736, 461, 736, 77, 34, 79, 556, 2149, 291, 19634, 32, 1877, 14178, 599, 950, 736, 1748, 291, 442, 301, 324, 330, 681, 950, 330, 476, 32, 3543, 32, 3734, 32, 2593, 370, 324, 330, 3734, 81, 426, 950, 330, 26217, 32, 5110, 32, 1170, 4548, 370, 324, 330, 14028, 950, 19634, 30, 1568, 320, 203, 4548, 631, 81, 26217, 81, 5110, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 5, 4, 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, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 8, 9, 10, 8, 5, 5, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 7, 10, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 8, 6, 7, 10, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 5, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 4, 4, 6, 6, 10, 10, 8, 10, 11, 10, 12, 12, 12, 12, 10, 7, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 8, 8, 8, 8, 9, 10, 8, 4, 4, 6, 6, 8, 8, 9, 10, 9, 7, 7, 4, 4, 7, 8, 7, 11, 11, 9, 8, 4, 4, 5, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 7, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 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, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 11, 2, 1, 2, 2, 1, 1, 1, 2, 3, 0, 2, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 1, 1, 1, 2, 5, 0, 2, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 4, 4, 0, 1, 1, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 2, 1, 1, 4, 4, 5, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 3089, 749, 98, 1188, 3639, 203, 1070, 638, 1188, 30032, 203, 1070, 638, 1188, 2047, 37, 38, 34, 203, 1070, 638, 1188, 736, 81, 15699, 203, 1070, 638, 1188, 3497, 81, 10969, 203, 1070, 638, 1188, 3497, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1168, 33367, 32, 2282, 1188, 14735, 203, 823, 399, 11574, 83, 12214, 924, 26, 11452, 32, 6515, 33367, 984, 711, 284, 1474, 280, 617, 15339, 26, 2076, 27, 101, 683, 203, 823, 399, 11574, 83, 1063, 924, 26, 11452, 32, 6515, 33367, 984, 711, 284, 1474, 280, 617, 15339, 26, 2076, 27, 101, 683, 203, 823, 399, 11574, 83, 1183, 4152, 12214, 924, 26, 11452, 32, 6515, 33367, 984, 711, 284, 1474, 280, 617, 15339, 26, 2076, 27, 101, 683, 203, 823, 399, 11574, 83, 1183, 4152, 1063, 924, 26, 11452, 32, 6515, 33367, 984, 711, 284, 1474, 280, 617, 15339, 26, 2076, 27, 101, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 4, 4, 6, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 4, 4, 6, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 4, 4, 6, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 4, 4, 6, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 2, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 14785, 32, 12023, 32, 15704, 32, 2958, 32, 15704, 32, 18931, 1188, 3772, 3703, 203, 1070, 14785, 32, 12023, 32, 15704, 32, 2958, 32, 15704, 32, 18931, 1188, 14720, 203, 1070, 14785, 32, 12023, 32, 15704, 32, 2958, 32, 15704, 32, 18931, 1188, 15599, 3703, 203, 1070, 14785, 32, 12023, 32, 15704, 32, 2958, 32, 15704, 32, 18931, 1188, 45647, 41139, 203, 1070, 14785, 32, 12023, 32, 15704, 32, 2958, 32, 15704, 32, 18931, 1188, 19595, 203, 1070, 14785, 32, 12023, 32, 15704, 32, 2958, 32, 15704, 32, 18931, 1188, 21015, 3296, 203, 1070, 14785, 32, 12023, 32, 15704, 32, 2958, 32, 15704, 32, 18931, 1188, 14292, 5580, 11434, 203, 1070, 14785, 32, 12023, 32, 15704, 32, 2958, 32, 15704, 32, 18931, 1188, 3678, 26529, 203, 1070, 14785, 32, 12023, 32, 15704, 32, 2958, 32, 15704, 32, 18931, 1188, 1312, 89, 1632, 3703, 203, 1070, 14785, 32, 12023, 32, 15704, 32, 2958, 32, 15704, 32, 18931, 1188, 37565, 62, 1013, 25319, 1089, 4452, 203, 1070, 14785, 32, 12023, 32, 15704, 32, 2958, 32, 15704, 32, 18931, 1188, 13601, 8536, 203, 1070, 14785, 32, 12023, 32, 15704, 32, 2958, 32, 15704, 32, 18931, 1188, 12002, 8433, 203, 4025, 7976, 81, 465, 203, 4025, 20654, 203, 4025, 1459, 81, 1126, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 4, 4, 0, 5, 5, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 6, 6, 0, 0, 7, 7, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 7, 7, 0, 8, 8, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 8, 8, 0, 0, 9, 9, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 10, 10, 0, 0, 11, 11, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 11, 11, 0, 0, 0, 0, 12, 12, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 12, 12, 0, 0, 0, 0, 0, 0, 13, 13, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 13, 13, 0, 0, 14, 14, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 14, 14, 0, 0, 15, 15, 1, 1, 0, 16, 16, 0, 17, 17, 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 ]
[ 465, 273, 4315, 203, 1070, 273, 4315, 1188, 6486, 30, 618, 30, 10185, 30, 6662, 30, 994, 30, 18932, 203, 465, 1133, 203, 465, 273, 4315, 32, 8979, 619, 8181, 203, 2632, 280, 225, 34, 32, 34, 35, 203, 4213, 280, 225, 35, 34, 32, 34, 203, 589, 26584, 81, 2946, 26, 2946, 711, 284, 2678, 34, 280, 2664, 32, 99, 284, 345, 4788, 280, 273, 4315, 32, 22342, 1493, 11276, 26, 2946, 27, 284, 345, 4788, 32, 8788, 81, 1070, 81, 15752, 26, 34, 32, 34, 30, 2678, 34, 30, 8793, 30, 2678, 34, 27, 284, 2678, 280, 428, 95, 4788, 32, 99, 36, 79, 284, 273, 280, 428, 95, 4788, 32, 102, 36, 79, 284, 2218, 345, 4788, 32, 102, 35, 333, 5239, 44, 291, 345, 4788, 32, 2997, 26, 95, 4788, 32, 102, 36, 29, 2632, 27, 291, 2678, 32, 1689, 26, 95, 4788, 32, 99, 36, 27, 291, 273, 32, 1689, 26, 95, 4788, 32, 102, 36, 27, 284, 442, 308, 102, 30, 99, 27, 203, 2946, 280, 273, 4315, 32, 1598, 346, 203, 2946, 32, 465, 81, 9433, 2009, 284, 14278, 463, 10753, 35, 1425, 428, 291, 25932, 26, 36, 30, 12697, 47, 35, 30, 636, 1057, 1747, 35, 683, 291, 2505, 284, 5179, 26, 35, 471, 428, 291, 14278, 463, 10753, 36, 1425, 428, 324, 25932, 26, 36, 30, 12697, 47, 35, 30, 636, 1057, 1747, 36, 683, 324, 20503, 284, 8834, 203, 102, 4315, 32, 14459, 32131, 32, 9420, 12422, 26, 2946, 30, 330, 1747, 35, 370, 330, 1747, 36, 370, 831, 47, 36, 34, 30, 816, 34, 47, 35, 27, 203, 102, 4315, 32, 39206, 32, 9420, 54, 47763, 26, 2946, 30, 330, 1747, 35, 370, 330, 1747, 36, 370, 281, 47, 35, 27, 203, 102, 4315, 32, 14459, 32131, 32, 27030, 26, 2946, 30, 636, 347, 27030, 657, 203, 2946, 32, 99, 280, 428, 37, 5437, 37, 79, 203, 1366, 280, 1133, 32, 9100, 346, 203, 26, 102, 30, 2678, 27, 280, 26584, 81, 2946, 26, 2946, 27, 203, 11333, 280, 1133, 32, 9100, 346, 203, 1216, 313, 14888, 44, 8793, 6132, 88, 30, 5239, 6132, 88, 30, 6091, 6132, 88, 309, 20, 904, 308, 2632, 30, 5239, 30, 11361, 31, 1366, 27, 203, 8979, 32, 8979, 518, 81, 37, 86, 2009, 8181, 32, 7429, 1097, 37, 54, 26, 2946, 30, 273, 30, 2678, 27, 8834, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 0, 1, 1, 0, 1, 1, 4, 3, 4, 2, 2, 0, 3, 2, 2, 3, 3, 3, 3, 0, 3, 2, 2, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 5, 6, 2, 2, 5, 4, 4, 7, 6, 7, 7, 7, 6, 7, 6, 2, 2, 6, 5, 6, 6, 6, 6, 6, 5, 6, 6, 6, 5, 5, 6, 5, 5, 5, 5, 6, 5, 2, 2, 4, 4, 7, 7, 6, 7, 7, 5, 2, 2, 4, 4, 7, 7, 6, 7, 7, 5, 2, 2, 3, 6, 5, 6, 6, 4, 4, 3, 3, 3, 8, 7, 8, 7, 10, 10, 9, 10, 10, 8, 9, 7, 4, 4, 7, 8, 7, 9, 9, 8, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 8, 9, 9, 7, 2, 2, 3, 5, 4, 5, 4, 0, 3, 2, 2, 5, 4, 5, 4, 0, 4, 3, 4, 4, 4, 3, 4, 4, 6, 8, 8, 8, 4, 5, 5, 7, 8, 7, 7, 8, 9, 7, 7, 8, 10, 10, 10, 5, 5, 4, 4, 6, 7, 6, 4, 5, 5, 7, 9, 9, 9, 5, 6, 6, 8, 9, 8, 8, 9, 10, 8, 8, 9, 11, 11, 11, 6, 6, 4, 4, 0, 5, 5, 4, 5, 5, 3, 4, 4, 3, 4, 3, 3, 5, 5, 5, 3, 5, 5, 5, 3, 4, 5, 5, 3, 3, 5, 4, 5, 3, 0, 5, 5, 4, 5, 3, 4, 4, 4, 3, 4, 3, 3, 5, 5, 5, 3, 5, 5, 5, 3, 4, 5, 3, 0, 5, 5, 4, 5, 5, 3, 4, 3, 4, 3, 3, 4, 6, 6, 0, 4, 3, 4, 2, 2, 4, 3, 5, 3, 0, 3, 2, 2, 4, 5, 4, 0, 3, 4, 3, 3, 3, 2, 2, 4, 4, 4, 5, 4, 0, 3, 2, 2, 4, 5, 4, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 4, 3, 3, 3, 3, 4, 5, 3, 0, 4, 3, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 7, 7, 6, 7, 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 ]
[ 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 3, 3, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 7, 1, 4, 4, 0, 0, 0, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 2, 4, 4, 5, 0, 0, 2, 2, 1, 1, 5, 5, 5, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 3, 3, 0, 2, 1, 0, 0, 1, 2, 2, 1, 3, 3, 0, 2, 1, 0, 0, 1, 2, 2, 1, 4, 4, 6, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 7, 7, 1, 1, 1, 2, 7, 3, 3, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 2, 3, 3, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 7, 2, 2, 1, 1, 0, 9, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 7, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 3, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 16, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 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 ]
[ 465, 5741, 203, 465, 2192, 203, 465, 6234, 203, 465, 5237, 203, 465, 26313, 203, 465, 27374, 203, 465, 3089, 749, 98, 203, 465, 3089, 749, 98, 32, 1299, 15762, 619, 3706, 15762, 203, 465, 3089, 749, 98, 32, 20259, 81, 4817, 619, 19120, 81, 4817, 203, 465, 3089, 749, 98, 32, 4280, 619, 8684, 203, 81, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 38752, 5264, 1486, 3021, 26, 42183, 32, 3021, 711, 284, 665, 1156, 1664, 3207, 784, 30, 13363, 30, 11154, 711, 291, 1869, 96, 280, 13363, 461, 13363, 32, 371, 10356, 426, 346, 291, 1869, 96, 280, 330, 941, 359, 1970, 31, 1580, 9299, 101, 6069, 101, 25, 904, 1869, 96, 77, 34, 44, 36, 79, 291, 26313, 32, 3021, 3667, 1664, 3207, 784, 30, 636, 47, 40589, 27, 291, 630, 32, 9184, 280, 13363, 291, 630, 32, 9184, 32, 470, 5457, 26, 35, 36, 34, 34, 27, 291, 630, 32, 10459, 280, 11154, 284, 665, 1420, 26, 784, 711, 291, 630, 32, 10333, 280, 2933, 291, 1596, 44, 324, 8349, 280, 19120, 81, 4817, 32, 1772, 4817, 26, 784, 32, 9184, 27, 291, 2940, 3268, 44, 324, 630, 32, 10459, 32, 2546, 26, 784, 27, 324, 630, 32, 10333, 280, 3177, 324, 442, 3177, 291, 2218, 630, 32, 10333, 44, 324, 1596, 44, 400, 3124, 280, 8349, 32, 1772, 13162, 346, 400, 1056, 280, 3706, 15762, 32, 7147, 81, 8358, 26, 2076, 77, 34, 614, 3124, 77, 35, 614, 3124, 77, 36, 19572, 400, 8349, 32, 43806, 416, 26, 1267, 27, 324, 2940, 6234, 32, 5457, 44, 400, 1626, 324, 2940, 3268, 30, 484, 44, 400, 1596, 44, 528, 2080, 81, 3893, 280, 3268, 26, 941, 359, 1970, 81, 2956, 81, 3893, 81, 18244, 26, 87, 490, 11057, 2080, 81, 35382, 280, 18623, 26, 87, 30, 330, 35382, 370, 5237, 32, 14806, 81, 1338, 1157, 528, 14186, 81, 35382, 280, 34873, 2524, 26, 35382, 32, 1643, 81, 3893, 2740, 1327, 81, 35382, 490, 528, 617, 4073, 32, 2811, 440, 941, 359, 1970, 44, 14854, 31, 2649, 3756, 392, 13489, 81, 1338, 47, 1815, 27, 528, 8349, 32, 43806, 416, 26, 1327, 81, 3893, 30, 3756, 47, 1815, 30, 27374, 47, 18752, 81, 35382, 27, 528, 1626, 400, 2940, 3268, 30, 538, 44, 528, 617, 4073, 32, 3893, 440, 941, 359, 1970, 44, 4881, 17888, 3756, 1474, 372, 2043, 657, 528, 1626, 291, 3706, 15762, 32, 2679, 81, 4817, 26, 784, 32, 9184, 27, 291, 630, 32, 9184, 280, 1665, 291, 630, 32, 10459, 32, 2546, 26, 784, 27, 291, 630, 32, 10333, 280, 3177, 291, 442, 2933, 284, 665, 4719, 26, 784, 711, 291, 630, 32, 10333, 280, 3177, 203, 589, 1168, 359, 1970, 81, 2956, 81, 3893, 81, 18244, 26, 87, 711, 284, 415, 6937, 26, 87, 30, 3089, 749, 98, 32, 500, 104, 32, 500, 104, 32, 7343, 81, 500, 104, 711, 291, 442, 330, 5691, 769, 330, 474, 484, 32, 426, 474, 3228, 96, 78, 96, 25, 474, 484, 32, 853, 284, 415, 6937, 26, 87, 30, 3089, 749, 98, 32, 11452 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 4, 4, 3, 4, 4, 2, 2, 3, 0, 1, 1, 4, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 4, 4, 3, 4, 2, 2, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 6, 6, 7, 7, 9, 10, 10, 10, 9, 4, 4, 7, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 8, 10, 9, 10, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 7, 8, 9, 7, 4, 4, 7, 8, 6, 6, 4, 4, 8, 9, 7, 8, 8, 7, 8, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 5, 5, 5, 8, 8, 11, 11, 10, 11, 11, 10, 12, 11, 12, 10, 5, 5, 6, 6, 6, 6, 11, 12, 10, 11, 10, 11, 10, 7, 7, 10, 11, 9, 9, 7, 7, 8, 4, 4, 5, 6, 7, 5, 5, 5, 7, 7, 7, 10, 10, 12, 13, 13, 12, 8, 8, 10, 10, 13, 12, 13, 13, 13, 12, 14, 13, 14, 13, 12, 13, 14, 13, 12, 13, 15, 14, 8, 8, 11, 12, 12, 11, 12, 11, 7, 7, 8, 9, 10, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 10, 10, 10, 14, 14, 13, 13, 15, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 11, 11, 14, 14, 13, 13, 15, 16, 15, 15, 17, 17, 15, 17, 18, 18, 18, 17, 11, 11, 14, 14, 13, 13, 16, 15, 18, 17, 18, 18, 18, 17, 19, 19, 19, 17, 11, 11, 15, 14, 15, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 16, 16, 15, 16, 14, 11, 11, 14, 15, 15, 14, 15, 15, 15, 14, 14, 15, 16, 14, 14, 15, 16, 16, 16, 14, 11, 11, 10, 10, 11, 11, 11, 11, 11, 11, 16, 15, 16, 15, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 12, 12, 4, 4, 8, 7, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 6, 6, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 5, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 9, 9, 8, 9, 9, 7, 8, 8, 6, 7, 7, 7, 7, 5, 3, 3, 5, 10, 10, 10, 8, 8, 9, 10, 7, 7, 10, 10, 10, 9, 6, 6, 7, 8, 2, 2, 3, 5, 6, 5, 5, 8, 8, 7, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 0, 7, 7, 0, 0, 0, 2, 2, 1, 1, 2, 0, 8, 8, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 9, 9, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 11, 11, 1, 1, 1, 2, 0, 1, 2, 2, 11, 11, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 3, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 3, 3, 0, 2, 0, 0, 3, 3, 2, 4, 4, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 3, 1, 5, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 3, 1, 2, 3, 3, 3, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 2, 2, 1, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 4, 4, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 7, 4, 4, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 12, 12, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 12, 12, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 3, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 2 ]
[ 465, 15798, 203, 465, 11685, 203, 1070, 376, 7066, 32, 4275, 1188, 319, 203, 1070, 376, 7066, 32, 16452, 1188, 319, 203, 1070, 376, 7066, 32, 9433, 1188, 319, 203, 823, 6577, 7233, 26, 18986, 32, 7233, 711, 284, 665, 894, 3930, 2710, 26, 784, 711, 291, 3118, 280, 3319, 2136, 26, 1744, 314, 347, 3765, 392, 7328, 47, 37, 27, 291, 1374, 280, 8043, 2710, 440, 858, 657, 291, 630, 32, 5299, 26, 2285, 32, 850, 26, 1744, 30, 323, 7646, 106, 34, 35, 78, 106, 34, 36, 2113, 308, 35, 30, 323, 7646, 106, 34, 36, 2131, 291, 630, 32, 5299, 26, 2285, 32, 850, 26, 1744, 30, 323, 7646, 106, 34, 35, 2113, 308, 35, 30, 323, 1010, 490, 291, 630, 32, 23895, 26, 9471, 924, 30, 1374, 32, 850, 30, 3118, 30, 323, 20, 657, 291, 630, 32, 5299, 26, 2285, 32, 1821, 26, 1744, 30, 225, 39, 471, 323, 7646, 106, 34, 39, 657, 291, 630, 32, 5299, 26, 2285, 32, 4635, 26, 1744, 30, 225, 39, 471, 225, 39, 27, 291, 630, 32, 23895, 26, 22239, 30, 1374, 32, 4635, 30, 3118, 30, 429, 35, 27, 291, 630, 32, 23895, 26, 22239, 30, 1374, 32, 4635, 30, 3118, 30, 225, 36, 39, 40, 27, 291, 630, 32, 23895, 26, 18082, 30, 1374, 32, 4635, 30, 3118, 30, 313, 26018, 657, 284, 665, 894, 3061, 2710, 26, 784, 711, 291, 3118, 280, 3319, 2136, 26, 1744, 314, 347, 3765, 392, 7328, 47, 37, 27, 291, 1374, 280, 4401, 2710, 440, 858, 392, 225, 35, 40, 27, 291, 630, 32, 5299, 26, 2285, 32, 850, 26, 1744, 30, 323, 7646, 106, 34, 35, 78, 106, 34, 36, 78, 106, 34, 37, 78, 106, 34, 38, 2113, 308, 36, 39, 42, 30, 323, 7646, 106, 34, 37, 78, 106, 34, 38, 2131, 291, 630, 32, 5299, 26, 2285, 32, 850, 26, 1744, 30, 323, 7646, 106, 34, 35, 78, 106, 34, 36, 2113, 308, 36, 39, 42, 30, 323, 1010, 490, 291, 630, 32, 23895, 26, 9471, 924, 30, 1374, 32, 850, 30, 3118, 30, 323, 20, 657, 291, 630, 32, 23895, 26, 9471, 924, 30, 1374, 32, 850, 30, 3118, 30, 323, 7646, 106, 34, 35, 657, 291, 630, 32, 5299, 26, 2285, 32, 1821, 26, 1744, 30, 225, 35, 471, 323, 7646, 106, 34, 34, 78, 106, 34, 35, 657, 291, 630, 32, 5299, 26, 2285, 32, 1821, 26, 1744, 30, 225, 36, 39, 42, 471, 323, 7646, 106, 34, 35, 78, 106, 34, 36, 657, 291, 630, 32, 5299, 26, 2285, 32, 4635, 26, 1744, 30, 225, 39, 471, 225, 39, 27, 291, 630, 32, 23895, 26, 22239, 30, 1374, 32, 4635, 30, 3118, 30, 429, 35, 27, 291, 630, 32, 23895, 26, 22239, 30, 1374, 32, 4635, 30, 3118, 30, 225, 40, 39, 39, 37, 41, 27, 291, 630, 32, 23895, 26, 22239, 30, 1374, 32, 4635, 30, 3118, 30, 225, 40, 39, 39, 37, 40, 27, 291, 630, 32, 23895, 26, 18082, 30, 1374, 32, 4635, 30, 3118, 30, 313, 26018, 657, 291, 1374 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 10, 10, 9, 11, 11, 8, 9, 10, 8, 4, 4, 6, 6, 8, 8, 10, 10, 4, 4, 7, 8, 7, 10, 9, 10, 9, 10, 9, 9, 11, 12, 12, 12, 12, 12, 12, 12, 11, 7, 9, 8, 8, 10, 11, 11, 11, 10, 4, 4, 7, 8, 7, 10, 9, 10, 9, 10, 9, 9, 11, 12, 12, 12, 11, 7, 9, 8, 8, 10, 8, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 9, 7, 7, 7, 7, 9, 9, 4, 4, 7, 8, 7, 10, 9, 10, 9, 10, 9, 9, 10, 9, 7, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 10, 9, 10, 9, 10, 9, 9, 10, 9, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 7, 7, 7, 7, 9, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 7, 7, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 7, 7, 7, 7, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 10, 10, 9, 11, 11, 8, 9, 10, 8, 4, 4, 6, 6, 8, 8, 10, 10, 8, 9, 9, 8, 4, 4, 7, 8, 7, 10, 9, 10, 9, 10, 9, 9, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 7, 9, 9, 9, 8, 8, 10, 11, 11, 11, 11, 11, 11, 11, 10, 4, 4, 7, 8, 7, 10, 9, 10, 9, 10, 9, 9, 11, 12, 12, 12, 12, 12, 12, 12, 11, 7, 9, 9, 9, 8, 8, 10, 8, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 9, 7, 7, 7, 7, 9, 9, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 9, 7, 7, 7, 7, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 10, 9, 10, 9, 10, 9, 9, 10, 9, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 4, 4, 7, 8, 7, 10, 9, 10, 9, 10, 9, 9, 10, 10, 10, 9, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 4, 4, 7, 8, 7, 10, 9, 10, 9, 10, 9, 9, 10, 9, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 7, 7, 7, 7, 9, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 7, 7, 7, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 7, 7, 7, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 7, 7, 7, 7, 9, 9, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 1, 2, 0, 1, 2, 2, 5, 5, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 0, 0, 0, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 3, 3, 0, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 0, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 0, 0, 0, 0, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 7, 7, 7, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 0, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 0, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 7, 7, 7, 7, 7, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 7, 7, 7, 7, 7, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 2, 4, 4 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 5237, 30, 2322, 30, 1133, 203, 20896, 280, 1133, 32, 1003, 346, 203, 3731, 32, 983, 32, 1689, 26, 500, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 2322, 32, 983, 32, 568, 1515, 30, 330, 2282, 21180, 203, 465, 5398, 30, 24313, 81, 23581, 81, 2282, 30, 13174, 81, 2282, 30, 8745, 30, 354, 331, 385, 2208, 203, 520, 280, 354, 331, 385, 2208, 32, 5482, 2825, 346, 203, 17881, 81, 2282, 32, 9266, 81, 1762, 81, 3922, 81, 2816, 81, 4545, 26, 520, 27, 203, 3739, 2016, 81, 4254, 30, 13942, 81, 2184, 280, 13174, 81, 2282, 32, 2208, 81, 2816, 81, 4545, 26, 520, 32, 2208, 26, 3731, 32, 6118, 490, 203, 1516, 5909, 280, 225, 36, 203, 100, 280, 8745, 32, 465, 81, 2958, 81, 5350, 346, 203, 47825, 30, 18226, 280, 8745, 32, 371, 81, 858, 81, 1199, 81, 1274, 346, 203, 1216, 440, 15624, 4904, 432, 904, 86, 13602, 10027, 32, 36, 2548, 4731, 904, 308, 1516, 5909, 30, 1133, 32, 1003, 346, 429, 17558, 490, 203, 1793, 5398, 32, 4607, 26, 4332, 81, 13547, 47, 1516, 5909, 30, 1688, 81, 6175, 1057, 6418, 4465, 81, 17785, 81, 2584, 47, 1815, 30, 2016, 81, 4254, 47, 2501, 81, 4254, 30, 6717, 81, 2184, 47, 6455, 81, 2184, 27, 619, 4904, 44, 284, 2145, 35, 280, 4904, 77, 34, 79, 284, 2145, 36, 280, 4904, 77, 35, 79, 284, 4567, 280, 540, 32, 3517, 26, 2035, 47, 1786, 35, 32, 2035, 30, 2601, 47, 1786, 35, 32, 5350, 81, 625, 27, 284, 1459, 440, 16608, 3082, 33, 1274, 904, 101, 9708, 101, 10027, 32, 36, 2548, 4731, 904, 308, 47825, 30, 18226, 30, 1133, 32, 1003, 346, 429, 17558, 490, 284, 415, 3082, 558, 646, 328, 540, 32, 1199, 81, 668, 922, 1945, 26, 3781, 711, 291, 540, 32, 1199, 81, 1297, 26, 47825, 547, 1945, 26, 3781, 27, 284, 415, 18226, 328, 540, 32, 1199, 26, 47825, 547, 1274, 81, 668, 922, 1945, 26, 3781, 711, 291, 540, 32, 1199, 26, 47825, 547, 1274, 81, 3798, 26, 16820, 547, 1945, 26, 3781, 27, 284, 540, 32, 1199, 26, 47825, 547, 1274, 81, 1297, 26, 16820, 547, 1945, 26, 3781, 27, 284, 1459, 440, 37428, 1054, 1629, 706, 10027, 32, 36, 2548, 4731, 904, 308, 1003, 32, 1003, 346, 429, 17558, 490, 284, 24313, 81, 23581, 81, 2282, 32, 3215, 81, 11374, 26, 2035, 47, 1786, 35, 32, 2035, 30, 2601, 47, 1786, 35, 32, 5350, 81, 625, 30, 3500, 47, 47825, 30, 1858, 47, 16820, 30, 2385, 47, 35, 34, 34, 34, 34, 27, 284, 4904, 32, 1553, 346, 284, 1459, 440, 7334, 1054, 1991, 3134, 787, 8805, 10027, 32, 36, 2548, 4731, 904, 308, 1003, 32, 1003, 346, 429, 17558, 490, 284, 787, 8805, 280, 428, 291, 5053, 4457, 81, 28208, 950, 1786, 35, 32, 426, 30, 330, 44678, 950, 77, 1786, 35, 32, 426, 30, 2145, 36, 32, 426, 15755, 291, 5053, 4457 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 2, 4, 5, 4, 0, 5, 4, 5, 3, 4, 3, 7, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 10, 7, 9, 10, 8, 9, 9, 7, 7, 9, 9, 0, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 3, 0, 3, 2, 2, 5, 5, 5, 4, 5, 5, 4, 0, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 0, 4, 3, 4, 4, 3, 3, 4, 4, 2, 2, 5, 5, 4, 5, 5, 5, 5, 5, 4, 7, 6, 7, 6, 8, 7, 8, 6, 0, 3, 3, 2, 2, 3, 0, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 0, 4, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 4, 0, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 5, 5, 8, 9, 8, 6, 6, 5, 0, 1, 1, 6, 7, 6, 8, 8, 8, 7, 8, 8, 6, 6, 8, 8, 7, 9, 6, 8, 8, 8, 8, 7, 8, 6, 6, 8, 8, 7, 8, 8, 8, 6, 6, 8, 8, 7, 8, 8, 8, 6, 4, 4, 1, 1, 1, 5, 4, 4, 5, 6, 5, 2, 2, 5, 4, 4, 5, 6, 5, 2, 2, 4, 4, 6, 7, 6, 8, 7, 9, 9, 8, 9, 6, 6, 7, 9, 9, 8, 9, 9, 9, 6, 2, 2, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 7, 7, 7, 7, 10, 11, 10, 8, 8, 7, 2, 2, 3, 5, 4, 4, 4, 8, 9, 9, 9, 8, 7, 6, 7, 6, 3, 3, 9, 10, 10, 10, 9, 10, 9, 8, 7, 8, 7, 2, 2, 3, 4, 4, 10, 11, 10, 11, 10, 9, 9, 9, 8, 7, 6, 7, 6, 3, 3, 11, 12, 11, 12, 11, 10, 10, 10, 9, 10, 9, 8, 7, 8, 7, 2, 2, 9, 10, 9, 10, 9, 8, 8, 8, 7, 8, 7, 6, 5, 6, 5, 2, 2, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 11, 10, 11, 10, 8, 8, 7, 2, 2, 6, 6, 6, 6, 5, 6, 6, 6, 5, 7, 6, 8, 8, 7, 8, 5, 5, 6, 8, 8, 7, 8, 8, 8, 5, 5, 6, 7, 5, 5, 6, 7, 5, 5, 6, 7, 7, 7, 7, 7, 5, 2, 2, 5, 6, 5, 2, 2, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 11, 10, 11, 10, 8, 8, 7, 2, 2, 5, 4, 4, 5, 5, 9, 9, 9, 9, 9, 9, 8, 9, 6, 6, 9, 9, 8, 10, 10, 9, 10, 8, 8, 10, 9, 10, 8, 5, 5, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 3, 2, 2, 1, 1, 1, 2, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 3, 3, 2, 0, 12, 12, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 3, 1, 1, 0, 0, 0, 0, 5, 2, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 0, 0, 9, 2, 2, 2, 1, 0, 0, 12, 12, 12, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 3, 0, 0, 2, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 5, 5, 2, 3, 3, 4, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 3, 3, 5, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 3, 0, 0, 2, 2, 2, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 9, 2, 2, 2, 2, 2, 1, 3, 3, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 3, 2, 2, 2, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 1459, 81, 1126, 203, 1070, 11385, 36492, 32, 1262, 1188, 25189, 30, 358, 30, 19291, 203, 1070, 11385, 36492, 32, 8239, 32, 2543, 672, 32, 35118, 267, 21017, 1188, 312, 4952, 203, 1070, 11385, 36492, 32, 41003, 32, 41003, 1188, 25206, 203, 1070, 11385, 36492, 32, 2594, 5232, 32, 19596, 470, 1188, 10932, 470, 30, 456, 2372, 2921, 203, 1070, 11385, 36492, 32, 10119, 32, 11452, 1188, 21461, 924, 203, 1070, 11385, 36492, 32, 1262, 32, 29143, 1188, 438, 81, 7508, 30, 2155, 203, 1070, 638, 2225, 1188, 21461, 2216, 203, 1070, 638, 1493, 1188, 6431, 37, 54, 203, 1070, 638, 1040, 1188, 617, 7010, 203, 823, 13935, 2216, 37, 54, 26, 9518, 2216, 711, 284, 665, 1156, 890, 3207, 6933, 30, 298, 35, 30, 298, 36, 30, 1115, 5321, 711, 291, 298, 35, 280, 6431, 37, 54, 26, 98, 35, 27, 291, 298, 36, 280, 6431, 37, 54, 26, 98, 36, 27, 291, 415, 298, 35, 610, 298, 36, 44, 324, 3636, 10091, 26, 400, 5461, 101, 3667, 890, 505, 7171, 3134, 5799, 31116, 3107, 904, 9011, 3667, 426, 8223, 291, 442, 21461, 2216, 3667, 890, 3207, 6933, 30, 298, 35, 30, 298, 36, 30, 1115, 5321, 27, 284, 477, 2433, 284, 665, 298, 35, 26, 784, 711, 291, 442, 630, 32, 1132, 77, 34, 79, 284, 477, 2433, 284, 665, 298, 36, 26, 784, 711, 291, 442, 630, 32, 1132, 77, 35, 79, 284, 477, 2433, 284, 665, 6983, 81, 11368, 26, 784, 711, 291, 298, 35, 30, 298, 36, 280, 630, 32, 3953, 291, 442, 298, 35, 32, 7354, 81, 11368, 26, 98, 36, 27, 284, 477, 2433, 284, 665, 6983, 81, 4952, 482, 26, 784, 711, 291, 298, 35, 30, 298, 36, 280, 630, 32, 3953, 291, 442, 298, 35, 32, 7354, 81, 4952, 482, 26, 98, 36, 27, 284, 477, 2433, 284, 665, 3104, 26, 784, 711, 291, 442, 358, 32, 25237, 284, 477, 2433, 284, 665, 4981, 26, 784, 711, 291, 442, 308, 784, 32, 98, 35, 30, 630, 32, 98, 36, 27, 284, 477, 16099, 284, 665, 884, 81, 8347, 2740, 4446, 711, 291, 415, 2069, 26, 4446, 27, 2511, 225, 35, 44, 324, 442, 3177, 291, 1596, 44, 324, 298, 280, 5430, 77, 34, 997, 11232, 26, 4446, 77, 35, 1130, 324, 415, 2069, 26, 98, 27, 610, 225, 34, 44, 400, 442, 3177, 324, 436, 1628, 328, 5430, 77, 36, 44, 2786, 400, 415, 298, 77, 34, 79, 646, 328, 1628, 44, 528, 442, 3177, 324, 442, 2933, 291, 2940, 29316, 44, 324, 442, 3177, 284, 665, 438, 81, 13449, 26, 94, 35, 30, 456, 36, 711, 291, 415, 456, 35, 610, 456, 36, 44, 324, 442, 2933, 291, 312, 280, 456, 35, 32, 7354, 81, 4952, 482, 291, 323, 280, 456, 36, 32, 7354, 81, 4952, 482, 291, 38933, 280, 739, 346, 291, 436, 595, 30, 594, 328, 8529, 26, 83, 30, 323, 711, 324, 415, 595, 461, 594, 44, 400, 38933, 32, 669, 26, 91, 33, 92, 27, 400, 415, 2069, 26, 17395, 27 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 6, 6, 8, 8, 8, 9, 9, 8, 4, 4, 7, 6, 6, 8, 8, 8, 9, 9, 8, 4, 4, 5, 7, 6, 6, 7, 5, 5, 5, 7, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 12, 12, 4, 4, 5, 8, 7, 8, 8, 8, 7, 7, 8, 7, 7, 8, 7, 7, 9, 7, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 8, 9, 7, 8, 7, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 8, 9, 7, 8, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 9, 8, 8, 9, 7, 7, 8, 9, 5, 5, 6, 9, 8, 9, 9, 9, 8, 9, 9, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 9, 8, 8, 9, 7, 7, 8, 9, 5, 5, 6, 9, 8, 9, 9, 9, 9, 8, 9, 9, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 9, 8, 9, 9, 7, 7, 8, 9, 9, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 7, 5, 4, 4, 6, 9, 10, 9, 7, 7, 8, 6, 6, 6, 8, 5, 5, 6, 6, 6, 9, 9, 12, 13, 12, 12, 11, 13, 12, 13, 12, 7, 7, 8, 11, 12, 11, 9, 9, 10, 8, 8, 8, 10, 7, 7, 8, 8, 8, 9, 11, 10, 9, 8, 8, 10, 12, 13, 12, 11, 11, 11, 10, 10, 10, 12, 7, 7, 8, 6, 6, 7, 7, 7, 7, 9, 2, 2, 3, 4, 4, 4, 5, 5, 4, 4, 5, 4, 3, 3, 5, 7, 6, 6, 7, 5, 5, 5, 7, 4, 4, 6, 6, 8, 7, 8, 8, 8, 8, 4, 4, 6, 6, 8, 7, 8, 8, 8, 8, 4, 4, 6, 6, 8, 4, 4, 5, 6, 6, 5, 5, 7, 8, 7, 7, 7, 5, 5, 7, 8, 8, 7, 7, 7, 11, 12, 11, 13, 12, 13, 11, 8, 8, 9, 12, 13, 12 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 4, 1, 6, 6, 6, 2, 2, 0, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 1, 2, 2, 1, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 6, 6, 0, 7, 7, 0, 7, 7, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 10, 10, 1, 1, 1, 2, 1, 1, 2, 10, 10, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 3, 0, 0, 2, 2, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 4, 4, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 4, 4, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 1, 5, 5, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 1, 6, 6, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 3, 2, 2, 1, 4, 4, 1, 7, 7, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 3, 0, 2, 3, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 3, 1, 1, 3, 3, 3, 3, 0, 4, 4, 8, 1, 1, 2, 1, 1, 2, 2, 3, 2, 8, 8, 0, 0, 1, 1, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 4, 4, 4, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 1, 1, 1, 1 ]
[ 505, 2116, 505, 280, 330, 348, 5366, 50, 2175, 32, 508, 308, 23484, 282, 25265, 39538, 9905, 203, 823, 32081, 984, 26, 984, 711, 334, 3097, 203, 823, 4851, 26, 1473, 711, 334, 665, 1390, 4327, 2262, 284, 3636, 22210, 334, 665, 5640, 1868, 26, 784, 30, 1411, 81, 9664, 30, 16215, 81, 4627, 30, 353, 1326, 30, 3390, 711, 284, 3636, 22210, 334, 665, 1390, 1104, 1339, 26, 784, 30, 1411, 81, 9664, 711, 284, 3636, 22210, 334, 665, 1390, 1397, 1339, 26, 784, 30, 1411, 81, 9664, 711, 284, 3636, 22210, 203, 823, 32081, 1917, 26, 1473, 711, 334, 665, 10059, 26, 784, 711, 284, 3636, 22210, 334, 665, 12228, 26, 784, 711, 284, 3636, 22210, 334, 665, 3081, 1031, 26, 784, 711, 284, 3636, 22210, 334, 665, 4793, 7028, 26, 784, 711, 284, 3636, 22210, 334, 665, 1756, 5288, 26, 784, 30, 5966, 711, 284, 3636, 22210, 334, 665, 3611, 27168, 26, 784, 711, 284, 3636, 22210, 334, 665, 22395, 1484, 7028, 26, 784, 30, 3309, 711, 284, 3636, 22210, 203, 823, 32081, 3525, 26, 1473, 711, 334, 665, 5640, 1868, 26, 784, 30, 1411, 81, 9664, 30, 16215, 81, 4627, 30, 353, 1326, 30, 1789, 81, 823, 30, 3390, 711, 284, 3636, 22210, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 3, 3, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 2, 2, 2, 1, 1, 0, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 3, 2, 3, 3, 0, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 2, 1, 2, 0, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 4, 4, 4, 1, 2, 1, 2, 2, 2, 4, 4, 0, 4, 4, 5, 1, 2, 1, 2, 5, 5, 0, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 2, 2, 9, 9, 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 ]
[ 465, 281, 5123, 203, 1070, 2047, 81, 978, 19681, 1188, 3124, 1040, 203, 589, 2676, 81, 4817, 81, 1409, 81, 7615, 81, 40110, 26, 1357, 711, 284, 540, 280, 1326, 32, 3604, 81, 3142, 32, 2998, 463, 20787, 225, 35, 27, 284, 415, 2069, 26, 100, 27, 610, 225, 35, 44, 291, 442, 284, 4356, 280, 281, 5123, 32, 2208, 81, 11790, 26, 100, 77, 35, 1130, 284, 415, 330, 5721, 25, 328, 4356, 44, 291, 1326, 32, 3604, 81, 5721, 280, 4356, 710, 5721, 8150, 34, 79, 203, 589, 2676, 81, 4817, 81, 10668, 81, 605, 26, 1357, 711, 284, 3124, 1040, 32, 2714, 81, 1436, 26, 1357, 30, 1326, 32, 3604, 81, 5721, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 8, 8, 8, 6, 7, 6, 8, 6, 7, 6, 2, 2, 3, 6, 7, 6, 4, 4, 5, 3, 3, 3, 2, 2, 4, 4, 7, 6, 7, 7, 7, 6, 8, 7, 8, 7, 2, 2, 3, 6, 6, 4, 4, 3, 3, 3, 7, 8, 8, 8, 6, 6, 8, 10, 10, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 6, 5, 6, 6, 6, 5, 6, 5, 5, 6, 7, 7, 7, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 3, 1, 2, 1, 1, 3, 3, 3, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 27038, 32, 3378, 1188, 6012, 203, 1070, 27038, 32, 3378, 32, 1311, 3378, 1188, 1979, 203, 1070, 27038, 32, 2304, 1188, 595, 35, 42, 96, 203, 1070, 13625, 1188, 31466, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 3378, 1188, 13957, 203, 1070, 8527, 32, 1262, 32, 2613, 1188, 3320, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 28771, 1188, 2364, 81, 2853, 30, 2364, 81, 2560, 203, 1070, 8527, 32, 2304, 1188, 13178, 203, 1070, 8527, 32, 2304, 32, 39804, 445, 2582, 1188, 3634, 81, 4770, 203, 589, 1974, 81, 2851, 81, 363, 81, 1637, 81, 19833, 26, 1581, 47, 2521, 711, 284, 7275, 280, 7275, 556, 13178, 32, 371, 81, 4189, 346, 284, 358, 2345, 81, 15916, 11980, 81, 3307, 280, 622, 81, 2851, 81, 2613, 81, 678, 26, 1581, 27, 284, 20944, 81, 15916, 11980, 81, 3307, 280, 622, 81, 1637, 81, 2613, 81, 678, 26, 1581, 27, 284, 415, 4070, 32, 17368, 81, 2396, 4989, 7267, 44, 291, 1780, 81, 37741, 280, 1979, 32, 5740, 32, 2029, 26, 1637, 505, 15074, 81, 297, 81, 16140, 47, 2700, 27, 284, 813, 44, 291, 1780, 81, 37741, 280, 1979, 32, 5740, 32, 2029, 26, 1637, 505, 15074, 81, 297, 81, 16140, 47, 1815, 27, 284, 1780, 81, 37741, 280, 1780, 81, 37741, 32, 1613, 81, 10513, 463, 1637, 370, 330, 1637, 505, 2851, 683, 284, 7853, 280, 31466, 26, 5962, 44, 31466, 26, 2665, 490, 284, 17289, 280, 2149, 284, 436, 1780, 328, 1780, 81, 37741, 44, 291, 7853, 77, 1311, 32, 1637, 32, 2851, 32, 3174, 1674, 1311, 32, 1637, 32, 3174, 1674, 1311, 32, 4189, 79, 280, 1780, 291, 17289, 77, 1311, 32, 1637, 32, 2851, 32, 3174, 79, 280, 1780, 32, 1637, 32, 2851, 32, 426, 284, 4755, 81, 19833, 280, 1605, 284, 1938, 81, 19833, 280, 428, 22869, 330, 336, 12357, 284, 2898, 81, 1174, 280, 428, 1581, 79, 474, 595, 35, 42, 96, 32, 371, 81, 24034, 81, 11868, 26, 1581, 27, 284, 436, 4755, 3174, 30, 7419, 2004, 328, 17289, 32, 3028, 2262, 291, 4755, 81, 19833, 32, 1689, 1162, 2851, 3174, 30, 7419, 2004, 490, 291, 4755, 81, 1637, 81, 19833, 280, 1605, 291, 436, 27840, 328, 7853, 77, 2851, 3174, 997, 2810, 2262, 324, 1780, 280, 1665, 324, 436, 2898, 328, 2898, 81, 1174, 44, 400, 1780, 280, 27840, 32, 371, 26, 4189, 27, 400, 415, 1780, 44, 528, 1626, 324, 415, 646, 1780, 44, 400, 4036, 324, 10525, 280, 1044, 30454, 1655, 2395, 1655, 7879, 319, 1780, 32, 1637, 32, 2649, 324, 1938, 81, 1311, 280, 3634, 81, 4770, 26, 103, 15860, 101, 23, 101, 20, 904, 308, 9378, 30, 1780, 32, 1311, 490, 324, 4755, 81, 1637, 81, 19833, 32, 1689, 1162, 1311, 32, 1637, 32, 3174, 30, 1938, 81, 1311, 490, 291, 1938, 81, 19833, 32, 1689, 1162, 19117, 2004, 30, 4755, 81, 1637, 81, 19833, 490, 284, 3320, 32, 470, 26, 24819, 81, 15916, 11980, 81, 3307, 30, 4755, 81, 19833, 30, 225, 42, 40, 38, 34, 34, 27, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 5, 5, 7, 8, 8, 8, 7, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 3, 4, 5, 5, 5, 5, 5, 3, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 9, 10, 8, 3, 3, 4, 4, 4, 8, 8, 7, 7, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 10, 11, 9, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 6, 8, 8, 6, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 7, 7, 9, 10, 9, 2, 2, 4, 4, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 9, 13, 12, 13, 11, 12, 10, 11, 9, 11, 10, 11, 9, 10, 8, 9, 8, 9, 7, 6, 6, 4, 4, 7, 11, 10, 11, 9, 10, 8, 9, 7, 6, 6, 9, 10, 8, 9, 7, 8, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 6, 6, 8, 8, 2, 2, 5, 5, 4, 4, 7, 6, 5, 5, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 2, 2, 3, 5, 4, 4, 5, 3, 3, 5, 6, 5, 3, 3, 8, 8, 7, 8, 7, 9, 9, 8, 8, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 4, 4, 5, 5, 5, 8, 9, 9, 8, 8, 7, 5, 5, 8, 8, 6, 6, 7, 7, 7, 8, 8, 7, 7, 7, 10, 10, 12, 13, 12, 13, 12, 8, 8, 9, 9, 9, 9, 6, 6, 7, 8, 7, 7, 7, 6, 6, 8, 8, 11, 11, 11, 11, 11, 9, 9, 11, 12, 10, 11, 6, 6, 9, 9, 8, 8, 10, 10, 10, 13, 13, 13, 13, 13, 13, 11, 11, 13, 12, 12, 13, 14, 12, 6, 6, 10, 10, 10, 10, 9, 10, 9, 13, 12, 13, 11, 12, 10, 10, 11, 11, 10, 4, 4, 8, 8, 7, 8, 7, 9, 9, 8, 8, 9, 9, 9, 9, 8, 2, 2, 5, 6, 5, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 6, 5, 2 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 7, 7, 1, 2, 1, 4, 1, 6, 7, 7, 0, 0, 7, 7, 0, 0, 0, 8, 8, 1, 2, 8, 8, 0, 9, 9, 1, 2, 1, 4, 4, 4, 9, 9, 0, 0, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 10, 10, 0, 0, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 3, 1, 2, 2, 2, 2, 2, 3, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 3, 3, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 7, 7, 7, 3, 3, 7, 7, 7, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 5, 5, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 11, 0, 1, 1, 2, 11, 11, 0, 2, 1, 11, 11, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 5, 5, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 5, 5, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 3, 3, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 5, 5, 5, 1, 4 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 8527, 1188, 10548, 203, 1070, 8527, 32, 1199, 1188, 6141, 30, 14291, 543, 924, 203, 1070, 309, 3038, 32, 3378, 1188, 308, 284, 25547, 32098, 30, 25547, 32098, 1151, 30, 24274, 4592, 30, 284, 24274, 4592, 620, 203, 27, 203, 823, 14745, 659, 12807, 4592, 1241, 26, 8538, 32, 1243, 1241, 711, 284, 443, 11985, 44, 291, 3829, 280, 2726, 1935, 370, 27, 291, 1542, 280, 24274, 4592, 284, 665, 4131, 26, 784, 30, 16038, 30, 12083, 30, 4749, 81, 2468, 711, 291, 13984, 280, 2599, 26, 28827, 12807, 4592, 1241, 30, 630, 547, 2853, 26, 3375, 47, 2700, 27, 291, 13984, 32, 12708, 280, 12083, 291, 13984, 32, 681, 280, 24274, 4592, 620, 32, 7239, 291, 1596, 44, 324, 4905, 280, 24274, 4592, 32, 5740, 32, 2029, 26, 400, 12083, 47, 12708, 30, 400, 1256, 505, 1935, 505, 91, 16925, 47, 418, 32, 1935, 30, 324, 829, 77, 34, 79, 291, 2940, 44121, 44, 324, 3097, 291, 813, 44, 324, 442, 4905, 30, 3177, 291, 26093, 280, 6141, 32, 2853, 1493, 26, 908, 1057, 1536, 683, 291, 1596, 44, 324, 13984, 32, 2853, 346, 291, 2940, 14291, 543, 924, 44, 324, 6141, 32, 2853, 1493, 81, 24654, 26, 11649, 30, 1471, 1057, 1536, 683, 324, 442, 24274, 4592, 32, 5740, 32, 371, 26, 400, 4096, 505, 91, 16925, 47, 418, 32, 1935, 30, 400, 12083, 47, 12708, 30, 324, 2588, 3177, 291, 6141, 32, 2853, 1493, 81, 3375, 26, 11649, 30, 1471, 1057, 1536, 683, 291, 25547, 32098, 32, 5740, 32, 1297, 26, 324, 12083, 47, 12708, 30, 324, 16038, 47, 3260, 30, 324, 4749, 81, 2468, 47, 639, 81, 2468, 30, 324, 1760, 81, 1473, 47, 418, 32, 314, 30, 324, 1692, 47, 12567, 32098, 1151, 32, 7239, 81, 27433, 2345, 30, 324, 706, 47, 418, 32, 371, 81, 16676, 81, 751, 81, 605, 1026, 291, 829, 291, 13984, 32, 2714, 81, 23048, 81, 1935, 346, 291, 442, 13984, 30, 2933, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 3, 3, 3, 6, 6, 9, 9, 7, 4, 4, 6, 6, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 6, 6, 10, 11, 11, 11, 11, 10, 10, 10, 9, 8, 10, 9, 10, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 8, 7, 8, 4, 4, 5, 5, 5, 8, 8, 13, 12, 13, 11, 12, 11, 11, 11, 12, 13, 11, 11, 11, 13, 13, 13, 13, 13, 12, 14, 13, 14, 11, 11, 11, 9, 10, 9, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 8, 9, 9, 4, 4, 6, 6, 8, 9, 9, 8, 10, 9, 11, 11, 4, 4, 5, 5, 5, 9, 10, 9, 5, 5, 6, 7, 7, 6, 6, 6, 10, 11, 11, 11, 11, 10, 11, 10, 10, 11, 13, 13, 7, 7, 8, 13, 12, 13, 11, 12, 11, 11, 11, 13, 13, 13, 12, 14, 13, 14, 11, 11, 11, 12, 13, 11, 11, 11, 9, 4, 4, 7, 8, 8, 8, 8, 7, 8, 7, 7, 8, 10, 10, 4, 4, 9, 8, 9, 7, 8, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 9, 9, 8, 10, 9, 10, 7, 7, 7, 8, 10, 10, 10, 9, 10, 10, 10, 10, 7, 7, 7, 8, 11, 10, 11, 11, 11, 11, 11, 11, 11, 10, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 0, 0, 3, 3, 0, 4, 4, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 0, 0, 2, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 4, 4, 3, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 3, 0, 2, 2, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 0, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 4, 4, 5, 5, 5, 0, 2, 1, 5, 5, 3, 1, 1, 3, 3, 3, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 2, 3, 3, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 3, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 2, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 0, 2, 2, 1, 1, 1, 9, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 11, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 9, 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 ]
[ 505, 2116, 505, 280, 330, 29575, 495, 14885, 50, 2175, 32, 508, 308, 1027, 13153, 1258, 495, 14885, 9905, 203, 465, 2322, 203, 465, 5624, 203, 465, 5237, 203, 325, 5237, 32, 1648, 333, 330, 36, 32, 38, 950, 334, 1370, 81, 1648, 280, 5237, 32, 1648, 32, 2998, 463, 330, 5594, 34, 79, 334, 1459, 13838, 10604, 4865, 1503, 10027, 101, 27, 438, 5133, 3610, 19, 5294, 10750, 372, 225, 36, 32, 40, 29, 20149, 904, 1370, 81, 1648, 334, 5237, 32, 4775, 26, 35, 27, 203, 12106, 5237, 32, 1648, 2377, 330, 37, 32, 34, 950, 334, 1459, 13838, 636, 11917, 438, 5927, 30600, 623, 4865, 225, 37, 32, 34, 429, 7667, 1346, 3742, 25, 203, 1070, 5034, 426, 11917, 1188, 9195, 203, 1070, 5034, 426, 11917, 1188, 1359, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 2075, 280, 1359, 32, 936, 35427, 2324, 346, 334, 793, 81, 4692, 280, 3177, 334, 415, 2069, 26, 3731, 32, 6118, 27, 610, 225, 35, 44, 284, 415, 2322, 32, 23407, 463, 20745, 370, 1665, 711, 397, 793, 81, 4692, 280, 2933, 284, 415, 2322, 32, 23407, 463, 59, 81, 1305, 2478, 81, 10432, 370, 1665, 711, 397, 793, 81, 4692, 280, 2933, 284, 4348, 5624, 32, 4229, 81, 424, 8532, 34, 2786, 397, 793, 81, 4692, 280, 3177, 284, 4348, 5624, 32, 2946, 346, 610, 330, 2839, 950, 397, 793, 81, 4692, 280, 2933, 334, 415, 793, 81, 4692, 44, 284, 1596, 44, 397, 415, 19326, 26, 3731, 30, 330, 4463, 424, 683, 461, 19326, 26, 3731, 30, 330, 30480, 7831, 291, 2322, 32, 12757, 710, 70, 1583, 81, 20017, 785, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 26, 3731, 32, 21823, 471, 330, 35795, 370, 330, 35795, 42, 32, 39, 683, 291, 2322, 32, 12757, 710, 10432, 81, 20017, 785, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 26, 3731, 32, 21823, 471, 330, 35795, 370, 330, 4692, 42, 32, 39, 683, 397, 1188, 41879, 1146, 284, 2940, 29986, 44, 397, 415, 2069, 26, 3731, 32, 6118, 27, 610, 225, 35, 44, 291, 1459, 4825, 886, 4262, 31, 4692, 308, 4692, 1146, 27, 4253, 438, 5816, 30, 1471, 322, 2016, 31, 928, 2568, 5327, 96, 20, 397, 793, 81, 4692, 280, 3177, 334, 415, 793, 81, 4692, 44, 284, 1459, 330, 15624, 47441, 2568, 436, 636, 11917, 308, 539, 429, 106, 372, 7650, 2016, 31, 928, 6886, 9905, 284, 645, 5034, 426, 11917, 1188, 19271, 284, 2568, 280, 19271, 32, 558, 30685, 7885, 334, 813, 44, 284, 2568, 280, 9195, 32, 558, 30685, 14800, 334, 636, 11917, 280, 2568, 26, 2184, 27, 334, 636, 11917, 32, 7083, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 4, 2, 2, 4, 4, 4, 4, 1, 1, 5, 5, 4, 4, 8, 9, 7, 8, 7, 9, 7, 6, 5, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 2, 2, 5, 6, 5, 6, 5, 1, 2, 2, 4, 5, 3, 3, 5, 5, 5, 5, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 2, 2, 3, 6, 8, 7, 8, 6, 4, 4, 5, 3, 3, 3, 5, 7, 8, 7, 9, 9, 7, 7, 5, 5, 9, 9, 8, 8, 4, 4, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 5, 5, 9, 9, 8, 8, 5, 5, 6, 9, 10, 10, 10, 9, 8, 7, 6, 6, 10, 10, 9, 9, 5, 5, 6, 9, 10, 9, 7, 7, 9, 9, 6, 6, 10, 10, 9, 9, 2, 2, 3, 4, 4, 3, 3, 3, 5, 5, 5, 7, 10, 11, 10, 10, 12, 12, 12, 8, 8, 10, 11, 10, 10, 12, 12, 7, 7, 12, 13, 11, 13, 13, 13, 13, 13, 10, 10, 13, 14, 12, 13, 12, 16, 15, 16, 14, 15, 14, 16, 15, 16, 14, 12, 14, 14, 12, 14, 14, 14, 14, 14, 8, 8, 12, 13, 11, 13, 13, 13, 13, 10, 10, 13, 14, 12, 13, 12, 16, 15, 16, 14, 15, 14, 16, 15, 16, 14, 12, 14, 14, 12, 14, 14, 14, 14, 14, 6, 6, 7, 9, 5, 5, 6, 6, 6, 6, 8, 11, 13, 12, 13, 11, 9, 9, 10, 8, 8, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 12, 7, 7, 10, 10, 9, 9, 2, 2, 3, 4, 4, 3, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 7, 5, 5, 4, 4, 6, 6, 7, 8, 8, 8, 3, 3, 4, 4, 4, 7, 7, 8, 9, 9, 9, 2, 2, 5, 4, 4, 6, 7, 6, 2, 2, 6, 5, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 0, 0, 5, 5, 0, 6, 6, 0, 0, 6, 6, 0, 7, 7, 0, 0, 1, 1, 1, 1, 7, 7, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 3, 3, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 4, 0, 2, 2, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 5, 0, 2, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 3, 3, 3, 1, 1, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 3, 3, 3, 3, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 3, 3, 0, 0, 0, 0, 3, 3, 4, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 1, 1, 3, 3, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4, 4, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 1, 1, 1, 3, 3, 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 ]
[ 505, 464, 505, 280, 428, 284, 330, 7886, 370, 330, 11153, 1308, 370, 330, 2137, 2256, 370, 330, 2137, 1308, 370, 284, 330, 18117, 1908, 370, 330, 3410, 370, 330, 1792, 11153, 370, 330, 6738, 370, 330, 6249, 370, 330, 1908, 370, 284, 330, 40816, 370, 330, 1599, 11153, 370, 330, 2333, 370, 330, 7909, 370, 330, 363, 43487, 330, 9579, 370, 330, 12524, 370, 284, 330, 2539, 753, 370, 330, 1732, 370, 330, 2405, 370, 330, 2592, 370, 330, 2560, 370, 330, 3801, 370, 330, 25524, 370, 284, 330, 7343, 43487, 330, 7343, 81, 464, 370, 330, 4658, 370, 330, 8281, 370, 330, 1298, 370, 330, 20346, 370, 284, 330, 25469, 370, 330, 3215, 370, 330, 22170, 370, 330, 22170, 81, 464, 370, 330, 2524, 370, 330, 1172, 370, 284, 330, 7538, 370, 330, 7538, 81, 2592, 370, 330, 1206, 43487, 330, 1693, 370, 330, 1693, 101, 2232, 370, 330, 1693, 2003, 633, 370, 284, 330, 271, 43487, 330, 541, 753, 370, 330, 11925, 2524, 370, 330, 1498, 370, 330, 1613, 370, 330, 1113, 1217, 370, 284, 330, 1274, 370, 330, 878, 370, 284, 330, 7288, 43487, 330, 681, 81, 44084, 370, 330, 13304, 370, 330, 13304, 81, 464, 370, 330, 1877, 785, 203, 1070, 638, 18498, 101, 1188, 23317, 444, 203, 1070, 638, 8239, 1188, 3420, 30, 15356, 30, 4540, 1308, 203, 1070, 4377, 1040, 32, 1581, 8774, 1188, 562, 81, 5792, 203, 1070, 638, 7594, 1188, 48725, 1308, 30, 7723, 1308, 9841, 334, 11462, 3012, 30, 40309, 3487, 30, 5069, 11153, 720, 30, 766, 334, 9286, 30, 23894, 30, 12020, 30, 7723, 11153, 30, 3319, 11153, 30, 9846, 30, 9282, 30, 766, 334, 2933, 3739, 3177, 3739, 13312, 3487, 30, 11713, 30, 2768, 11153, 30, 15218, 30, 766, 334, 7051, 299, 30, 646, 3739, 766, 334, 932, 1089, 30, 10652, 81, 2592, 30, 3733, 9841, 334, 10652, 30, 963, 753, 30, 827, 81, 44084, 30, 48725, 720, 203, 1070, 638, 7594, 1188, 9875, 1493, 11153, 30, 22474, 975, 705, 5126, 1493, 11153, 30, 766, 334, 11036, 5126, 1493, 11153, 203, 1070, 638, 1439, 1188, 7723, 2256, 30, 3189, 1353, 30, 6779, 7510, 30, 766, 616, 10864, 807, 81, 13236, 24556, 203, 1070, 638, 48339, 1188, 27825, 30, 19660, 30, 6608, 30, 6608, 444, 30, 5548, 11153, 30, 766, 291, 41837, 1908, 30, 390, 1713, 30, 8649, 11153, 30, 8649, 38461, 30, 6608, 1761, 30, 766, 291, 8813, 30, 3189, 1353, 1908, 30, 766, 291, 1361, 1217, 30, 9806, 42003, 30, 1283, 3045, 30, 19724, 1908, 30, 3319, 1465, 1792, 203, 1070, 638, 86, 696, 1188, 14621, 30, 4000, 30, 6788, 30, 4000, 1761, 30, 14614, 1761, 203, 363, 81, 280, 562, 81, 5792, 26, 4709, 11153, 720, 32, 363, 3739, 4939, 7672, 32, 363, 81, 657, 203, 271, 81, 280, 562, 81, 5792, 26, 4709, 11153, 720, 32, 271, 3739, 4939, 7672, 32, 271, 81, 657, 203, 2539, 753, 280, 562, 81, 5792, 26, 3726, 3012, 30, 4939, 7672, 32, 2539, 753, 657, 203, 1613, 280, 562, 81, 5792, 26, 1908, 30, 4939, 7672, 32, 1613, 657, 203, 878 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 0, 1, 1, 4, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 4, 3, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 1, 2, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 3, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 3, 1, 1, 3, 1, 2, 1, 3, 1, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 2, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 2, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 2, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 0, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 5, 6, 6, 4, 6, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 5, 6, 6, 4, 6, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 5, 5, 4, 4, 6, 6, 6, 6, 6, 0, 3, 2, 2, 4, 4, 4, 5, 4, 4, 6, 6, 6, 6, 0, 3 ]
[ 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 2, 3, 3, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 7, 4, 0, 4, 4, 0, 4, 4, 0, 0, 4, 4, 14, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 4, 4, 29, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 42, 4, 0, 4, 4, 0, 4, 47, 4, 0, 4, 4, 0, 0, 4, 4, 4, 54, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 7, 5, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 9, 6, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 13, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 24, 7, 7, 7, 0, 0, 7, 7, 29, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 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, 2, 0, 0 ]
[ 465, 15798, 36, 619, 15798, 203, 1070, 2676, 3773, 978, 32, 2282, 32, 2946, 32, 2024, 14117, 1188, 5582, 11874, 203, 1070, 2676, 3773, 978, 32, 2282, 32, 2946, 32, 496, 1188, 2680, 203, 823, 2680, 1006, 26, 18986, 32, 7233, 711, 284, 2280, 81, 496, 81, 1986, 280, 313, 2763, 1256, 1789, 20, 284, 665, 894, 81, 13232, 81, 8101, 26, 784, 711, 291, 630, 32, 33607, 1966, 20025, 280, 225, 36, 291, 665, 4395, 81, 1294, 81, 1131, 26, 1436, 711, 324, 630, 32, 33607, 1966, 20025, 5912, 225, 35, 324, 415, 646, 630, 32, 33607, 1966, 20025, 44, 400, 442, 2680, 1006, 32, 2763, 81, 496, 81, 1986, 324, 442, 1665, 291, 630, 32, 5299, 26, 1240, 32, 13232, 440, 1131, 392, 13760, 47, 784, 32, 33607, 1966, 20025, 30, 5081, 81, 1131, 47, 3613, 81, 1294, 81, 1131, 471, 2680, 1006, 32, 2763, 81, 496, 81, 1986, 27, 284, 665, 894, 81, 13232, 81, 6036, 81, 327, 9129, 81, 33607, 1966, 26, 784, 711, 291, 630, 32, 33607, 1966, 20025, 280, 225, 36, 291, 665, 4395, 81, 1294, 81, 1131, 26, 1436, 711, 324, 630, 32, 33607, 1966, 20025, 5912, 225, 35, 324, 442, 1665, 291, 630, 32, 5299, 26, 1240, 32, 13232, 440, 1131, 392, 13760, 47, 784, 32, 33607, 1966, 20025, 30, 5081, 81, 1131, 47, 3613, 81, 1294, 81, 1131, 471, 1665, 27, 284, 665, 894, 81, 13232, 81, 1793, 81, 12565, 81, 7047, 26, 784, 711, 291, 665, 1420, 81, 13232, 81, 858, 26, 8075, 30, 2799, 81, 1267, 30, 883, 81, 17381, 81, 12565, 47, 2700, 711, 324, 665, 4395, 81, 1294, 81, 1131, 26, 1436, 711, 400, 442, 7806, 32, 3235, 26, 34, 27, 324, 1688, 81, 14117, 280, 5582, 11874, 346, 324, 4648, 81, 1267, 280, 1688, 81, 14117, 32, 862, 81, 10931, 26, 400, 630, 30, 400, 2680, 32, 13232, 81, 1793, 81, 12565, 81, 7047, 30, 400, 2181, 18278, 1311, 392, 3037, 15367, 35, 392, 313, 15367, 36, 3439, 428, 1365, 3986, 392, 313, 1632, 3439, 3037, 26018, 392, 313, 1632, 12448, 392, 313, 579, 906, 1373, 1446, 6137, 400, 10306, 7814, 3374, 81, 17381, 81, 12565, 563, 883, 81, 17381, 81, 12565, 30, 313, 1294, 81, 1131, 563, 4395, 81, 1294, 81, 1131, 835, 400, 2799, 81, 9362, 347, 1311, 78, 96, 78, 96, 15367, 35, 78, 96, 225, 35, 32, 9214, 78, 96, 225, 36, 32, 5697, 78, 96, 78, 96, 15367, 36, 78, 96, 225, 37, 32, 9214, 1632, 78, 96, 225, 38, 32, 5697, 12448, 78, 96, 225, 39, 32, 9214, 12448, 78, 96, 657, 324, 630, 32, 5299, 26, 7975, 81, 1267, 30, 2799, 81, 1267, 27, 324, 630, 32, 5299, 26, 1657, 26, 8075, 471, 225, 34, 27, 291, 1420, 81, 13232, 81, 858, 14141, 35, 3439, 313, 3986, 657, 291, 1420, 81, 13232, 81, 858, 14141, 3371, 1131, 392, 313, 36, 3439, 313, 1632, 657, 291, 1420, 81, 13232, 81, 858, 14141, 37, 3439, 313, 26018, 657, 291, 1420, 81, 13232, 81, 858, 14141, 38, 3439, 313, 1632, 12448, 657, 291, 1420 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 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, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 4, 4, 5, 6, 6, 6, 6, 6, 7, 6, 5, 5, 9, 10, 10, 10, 8, 8, 9, 6, 6, 7, 8, 9, 10, 10, 10, 7, 7, 7, 9, 11, 10, 11, 11, 11, 11, 11, 6, 6, 7, 4, 4, 7, 8, 7, 10, 9, 10, 9, 11, 11, 9, 10, 12, 11, 12, 12, 12, 9, 9, 11, 11, 10, 11, 11, 11, 11, 11, 9, 7, 9, 8, 9, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 4, 4, 5, 6, 6, 6, 6, 6, 7, 6, 5, 5, 9, 10, 10, 10, 8, 8, 9, 6, 6, 7, 4, 4, 7, 8, 7, 10, 9, 10, 9, 11, 11, 9, 10, 12, 11, 12, 12, 12, 9, 9, 11, 11, 10, 11, 11, 11, 11, 11, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 8, 8, 8, 8, 7, 8, 6, 5, 5, 7, 8, 8, 8, 8, 8, 9, 8, 7, 7, 9, 11, 12, 11, 12, 11, 6, 6, 9, 9, 8, 8, 10, 10, 6, 6, 9, 9, 8, 8, 11, 11, 10, 11, 11, 11, 10, 10, 10, 10, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 11, 14, 14, 12, 15, 15, 15, 13, 15, 15, 15, 12, 14, 16, 16, 14, 16, 16, 13, 16, 16, 14, 16, 16, 16, 14, 16, 16, 16, 16, 13, 10, 10, 11, 15, 15, 15, 15, 15, 15, 13, 14, 14, 14, 14, 12, 12, 15, 15, 15, 15, 13, 14, 14, 14, 14, 12, 10, 10, 12, 12, 11, 13, 14, 14, 14, 14, 13, 13, 14, 14, 13, 13, 13, 13, 14, 14, 13, 13, 13, 13, 14, 14, 14, 14, 13, 13, 14, 14, 13, 13, 13, 13, 13, 14, 14, 13, 13, 13, 13, 13, 14, 14, 13, 13, 13, 13, 13, 14, 14, 13, 6, 6, 9, 10, 9, 10, 10, 10, 9, 9, 10, 10, 9, 6, 6, 9, 10, 9, 11, 11, 12, 11, 9, 10, 9, 4, 4, 7, 7, 7, 7, 7, 10, 10, 7, 9, 9, 4, 4, 7, 7, 7, 7, 7, 10, 10, 10, 8, 10, 10, 7, 9, 9, 4, 4, 7, 7, 7, 7, 7, 10, 10, 7, 9, 9, 4, 4, 7, 7, 7, 7, 7, 10, 10, 7, 9, 9, 9, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 4, 1, 6, 6, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 4, 1, 6, 2, 2, 0, 3, 3, 1, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 4, 4, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 3, 0, 2, 2, 2, 2, 1, 1, 0, 0, 5, 2, 2, 2, 2, 2, 1, 1, 0, 3, 2, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 4, 4, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 3, 0, 2, 2, 2, 2, 1, 1, 0, 0, 5, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 0, 0, 0, 0, 5, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 5, 1, 2, 2, 1, 1, 2, 3, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 5, 1, 2, 3, 1, 1, 2, 3, 1, 1, 1, 2, 5, 1, 1, 7, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 0, 0, 9, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 4, 4, 5, 5, 1, 1, 6, 6, 1, 1, 1, 1, 1, 7, 7, 1, 1, 1, 1, 1, 8, 8, 1, 1, 1, 1, 1, 9, 9, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 4, 4 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 14785, 32, 2958, 32, 1040, 32, 464, 81, 1040, 1188, 3345, 81, 642, 1107, 318, 203, 39763, 1392, 280, 313, 6455, 20, 203, 30489, 1392, 280, 313, 3239, 20, 203, 81, 11327, 81, 19111, 280, 428, 284, 313, 39763, 1392, 392, 284, 313, 30489, 1392, 20, 203, 79, 203, 2546, 81, 642, 1107, 318, 4064, 426, 7642, 617, 11327, 81, 19111, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 2, 2, 4, 4, 0, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 6, 6, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 31074, 203, 465, 6436, 619, 2065, 203, 1070, 595, 29819, 32, 11452, 1188, 8073, 3206, 6881, 30, 8073, 3206, 30, 701, 14600, 101, 18523, 15879, 30, 37327, 7434, 19534, 1900, 47189, 203, 1070, 595, 29819, 32, 8369, 1188, 9366, 8634, 30, 35954, 733, 1722, 203, 1070, 595, 29819, 32, 9777, 1188, 7482, 81, 21199, 30, 7482, 81, 11312, 7161, 81, 12983, 14183, 30, 7482, 81, 3364, 81, 10870, 30, 43786, 527, 81, 12213, 69, 30, 2773, 7166, 5091, 940, 30, 766, 284, 38632, 444, 81, 11076, 1280, 81, 10122, 81, 1274, 30, 3042, 12213, 2147, 81, 1192, 4869, 30, 5341, 81, 853, 30, 399, 8390, 40793, 4518, 81, 7420, 30, 13670, 52, 81, 7420, 30, 766, 284, 4435, 1413, 81, 7420, 203, 1070, 31074, 1188, 8241, 203, 823, 10285, 26, 3350, 8634, 30, 35954, 733, 1722, 711, 284, 665, 1156, 1664, 3207, 784, 30, 5713, 47, 2521, 30, 5341, 47, 2521, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 17094, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 415, 5713, 44, 324, 630, 32, 4915, 280, 5713, 291, 813, 44, 324, 630, 32, 4915, 280, 1605, 291, 415, 5341, 44, 324, 630, 32, 10187, 280, 5341, 291, 813, 44, 324, 630, 32, 10187, 280, 1665, 291, 630, 32, 1823, 280, 1665, 291, 630, 32, 297, 81, 568, 46382, 95, 280, 1665, 291, 630, 32, 2951, 280, 1665, 291, 630, 32, 2294, 851, 280, 1665, 291, 630, 1114, 37579, 81, 23859, 280, 1665, 291, 630, 1114, 37579, 81, 23859, 81, 470, 280, 1665, 291, 630, 1114, 11278, 280, 1665, 291, 630, 1114, 14632, 280, 1665, 291, 630, 1114, 11278, 81, 1423, 280, 1665, 291, 630, 1114, 5078, 280, 1665, 291, 630, 32, 21935, 280, 1665, 291, 630, 32, 1423, 81, 823, 280, 1665, 291, 630, 32, 1764, 11321, 279, 81, 823, 280, 1665, 284, 665, 1156, 890, 3207, 6933, 30, 319, 1132, 30, 1115, 5321, 711, 291, 1980, 280, 2599, 26, 3206, 30, 9011, 14585, 890, 3207, 6933, 27, 291, 415, 330, 466, 25, 328, 10306, 44, 324, 1980, 1114, 466, 280, 10306, 710, 466, 785, 291, 442, 1980, 284, 665, 1156, 371, 890, 1132, 81, 327, 3207, 784, 711, 291, 442, 308, 1026, 301, 324, 330, 466, 950, 596, 26, 784, 27, 291, 1790, 284, 665, 1156, 669, 3207, 784, 30, 1604, 711, 291, 415, 646, 6937, 26, 2455, 30, 10285, 711, 324, 3636, 8073, 3206, 346, 291, 442, 2222, 4823, 3206, 26, 4915, 6020, 784, 30, 1604, 1130, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 415, 6937, 26, 2455, 30, 10285, 711, 324, 442, 630, 1114, 466, 610, 1604, 1114, 466, 291, 813, 44, 324, 442, 2599, 17094, 3685, 3207, 2455, 27, 284, 665, 1156, 2888, 3207, 784, 711, 291, 442, 630, 1114, 466, 3667, 2888, 16369, 284, 665, 1156, 2159, 3207, 784, 30, 1604, 711, 291, 415, 646, 6937, 26, 784, 30, 10285, 27, 556, 646, 6937, 26, 2455, 30, 10285, 711, 324, 442, 15670, 291, 415, 630, 610, 1604, 44, 324, 442, 3177, 291, 415, 630, 32, 1823, 863, 1604, 32, 1823, 44, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 5, 5, 5, 5, 9, 10, 8, 8, 5, 5, 6, 6, 6, 10, 11, 9, 9, 4, 4, 5, 5, 5, 5, 9, 10, 8, 8, 5, 5, 6, 6, 6, 10, 11, 9, 9, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 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, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 6, 6, 10, 11, 10, 10, 10, 9, 9, 9, 8, 4, 4, 5, 8, 8, 6, 6, 5, 5, 5, 9, 10, 8, 8, 9, 11, 11, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 6, 7, 7, 10, 10, 8, 10, 11, 10, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 8, 5, 5, 7, 9, 9, 4, 4, 5, 7, 7, 7, 9, 8, 10, 9, 9, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 7, 5, 5, 7, 9, 10, 8, 8, 9, 10, 5, 5, 6, 6, 6, 8, 12, 11, 11, 11, 10, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 9, 10, 9, 9, 9, 6, 6, 7, 9, 10, 9, 9, 9, 5, 5, 7, 4, 4, 5, 6, 6, 5, 5, 5, 7, 4, 4, 5, 7, 8, 6, 6, 7, 8, 5, 5 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 13, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 24, 4, 0, 0, 0, 0, 5, 5, 5, 5, 0, 6, 6, 2, 1, 1, 2, 2, 3, 3, 2, 6, 6, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 4, 4, 4, 0, 2, 0, 0, 4, 4, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 4, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 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, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 4, 4, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 3, 3, 4, 4, 3, 1, 1, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 4, 4, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 4, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 4, 4, 4, 0, 1, 2, 2, 1, 1, 4, 4, 5, 1, 1, 1, 2, 5, 5, 0, 0, 2, 0, 2, 2, 4, 4, 6, 1, 1, 1, 2, 2, 2, 6, 6, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 4, 4, 2, 0, 2, 1, 1, 2, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1199, 1188, 12522, 30, 4549, 203, 465, 8527, 32, 1199, 32, 3378, 32, 30550, 203, 465, 8527, 32, 2304, 32, 18218, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 2815, 280, 2933, 284, 6440, 280, 428, 291, 12522, 32, 1586, 44930, 81, 9277, 26, 3550, 32, 9036, 81, 4975, 81, 14483, 471, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 44563, 26, 324, 636, 1057, 3160, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 4741, 1176, 26, 2837, 81, 4524, 47, 1815, 30, 7458, 81, 678, 47, 1815, 30, 12741, 47, 2700, 30, 9541, 81, 426, 1057, 779, 13356, 400, 2726, 1311, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 34, 34, 3662, 400, 2726, 878, 370, 4549, 32, 10215, 6182, 400, 2726, 4524, 81, 770, 370, 4549, 32, 36172, 26, 1536, 47, 11025, 32, 2304, 32, 18218, 32, 2174, 3662, 400, 2726, 14554, 81, 770, 370, 4549, 32, 36172, 26, 5006, 47, 1815, 30, 744, 47, 1815, 3662, 400, 2726, 2116, 370, 4549, 32, 13343, 26, 267, 81, 2560, 47, 11025, 32, 1199, 32, 3378, 32, 30550, 32, 28781, 30, 372, 47, 3550, 32, 9036, 81, 4975, 81, 14483, 3662, 324, 2505, 291, 2588, 284, 1481, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 0, 1, 1, 2, 3, 2, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 2, 2, 4, 4, 5, 5, 7, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 5, 5, 2, 2, 4, 4, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 9, 9, 12, 12, 10, 12, 13, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 17, 16, 17, 15, 16, 14, 15, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 13, 14, 12, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 18, 17, 18, 16, 17, 15, 16, 14, 15, 12, 12, 13, 15, 14, 15, 15, 15, 15, 15, 12, 9, 9, 7, 7, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 0, 4, 4, 1, 2, 1, 4, 0, 5, 5, 2, 0, 1, 2, 2, 5, 5, 0, 0, 4, 4, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 2, 2, 2, 1, 2, 3, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 5, 0, 2, 1, 2, 2, 1, 1, 1, 2, 7, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 9, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 2, 2, 1, 2, 11, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 3, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3829, 30, 500, 104, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 46474, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 589, 617, 371, 81, 21750, 26, 2446, 30, 12373, 30, 9668, 711, 397, 2467, 280, 1524, 284, 2192, 19088, 26, 10004, 27, 284, 645, 6274, 81, 4594, 81, 7134, 81, 2808, 284, 2154, 6274, 1236, 904, 101, 2993, 284, 5564, 32, 4526, 26, 1217, 30, 308, 7288, 26, 3631, 471, 490, 284, 12121, 81, 7134, 280, 428, 106, 77, 34, 79, 436, 816, 328, 5564, 32, 44569, 7662, 284, 2467, 280, 1524, 284, 2192, 19088, 26, 10004, 27, 284, 645, 6274, 81, 4594, 81, 1347, 81, 2808, 284, 2154, 6274, 1236, 904, 101, 2993, 284, 5564, 32, 4526, 26, 1217, 30, 308, 7288, 26, 3631, 471, 490, 284, 12121, 81, 1347, 280, 428, 106, 77, 34, 79, 436, 816, 328, 5564, 32, 44569, 7662, 284, 442, 428, 693, 81, 7134, 30, 12121, 81, 1347, 79, 203, 589, 617, 371, 81, 19277, 26, 2446, 30, 12373, 30, 9668, 711, 284, 1524, 203, 101, 81, 452, 81, 1553, 280, 9668, 284, 5564, 32, 4526, 27265, 275, 2192, 19088, 26, 2544, 81, 314, 27, 275, 645, 281, 3925, 81, 44655, 275, 2154, 2935, 81, 314, 438, 646, 744, 275, 461, 804, 1236, 904, 101, 37616, 26, 7288, 26, 3631, 471, 490, 284, 2935, 81, 3631, 280, 428, 106, 77, 34, 79, 436, 816, 328, 5564, 32, 44569, 7662, 284, 6595, 280, 3177, 284, 436, 816, 328, 2935, 81, 3631, 44, 291, 415, 816, 646, 328, 9668, 81, 452, 81, 1553, 44, 324, 9668, 81, 452, 81, 1553, 32, 1689, 26, 106, 27, 324, 6595, 280, 2933, 284, 415, 6595, 44, 291, 9668, 81, 452, 81, 1553, 280, 617, 371, 81, 19277, 26, 2446, 30, 12373, 30, 9668, 81, 452, 81, 1553, 27, 284, 442, 9668, 81, 452, 81, 1553, 203, 589, 894, 81, 15765, 26, 2446, 30, 12373, 30, 7476, 81, 314, 30, 12497, 30, 19969, 81, 3631, 47, 2521, 711, 284, 1524, 2152, 1301, 81, 1553, 280, 617, 371, 81, 19277, 26, 2446, 30, 12373, 30, 428, 8132, 81, 314, 1130, 284, 428, 7134, 81, 21750, 30, 1289, 81, 21750, 79, 280, 617, 371, 81, 21750, 26, 2446, 30, 12373, 30, 9668, 81, 452, 81, 1553, 27, 284, 1779, 280, 2933, 284, 436, 533, 81, 693, 328, 9155, 81, 21750, 44, 291, 415, 533, 81, 693, 646, 328, 19969, 81, 3631, 44, 324, 1779, 280, 3177, 324, 1626, 284, 415, 1779, 44, 291, 436, 12121, 328, 19969, 81, 3631, 44, 324, 415, 12121, 328, 1289, 81, 21750, 44, 400, 1779, 280, 3177, 400, 1626, 284, 415, 1779, 44, 291, 442, 2933, 284, 442, 3177, 203, 589, 617, 268, 7924, 81, 85, 1321, 26, 784, 30, 5564, 30, 12373, 30, 12497, 30, 19969, 81, 3631, 711, 284, 1524, 902, 980, 1178, 284, 5564, 32, 4526, 41412, 291, 2192, 540, 32, 3153, 81, 314, 291, 645, 736, 81, 15699, 81, 575, 81, 15699, 81, 3153, 81, 2808, 540, 2841, 7140, 281, 3925 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 3, 4, 3, 4, 3, 3, 6, 6, 7, 6, 4, 0, 0, 3, 3, 2, 2, 5, 4, 5, 4, 3, 4, 4, 4, 6, 7, 6, 0, 0, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 3, 4, 3, 4, 3, 3, 6, 6, 7, 6, 4, 0, 0, 3, 3, 2, 2, 5, 4, 5, 4, 3, 4, 4, 4, 6, 7, 6, 0, 0, 1, 3, 3, 3, 2, 2, 3, 3, 2, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 5, 6, 6, 6, 5, 2, 2, 3, 4, 4, 4, 3, 3, 3, 4, 4, 3, 2, 4, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 5, 5, 5, 4, 4, 6, 6, 6, 6, 7, 6, 6, 6, 6, 8, 8, 8, 7, 2, 2, 6, 6, 6, 5, 5, 6, 6, 5, 4, 4, 6, 6, 6, 6, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 2, 2, 4, 4, 2, 2, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 5, 7, 7, 6, 6, 6, 7, 7, 5, 5, 5, 8, 8, 6, 6, 2, 2, 3, 3, 3, 3, 5, 5, 5, 6, 6, 5, 5, 5, 7, 8, 8, 9, 9, 7, 7, 7, 10, 10, 8, 8, 2, 2, 3, 3, 3, 3, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 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, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 3, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 3, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 9, 1, 1, 1, 1, 1, 3, 3, 1, 0, 10, 10, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 4, 0, 4, 4, 0, 1, 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, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 4, 4, 1, 1, 1, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 1, 4, 4, 0, 0, 4, 4, 9, 1, 1, 9, 9, 3, 3, 9, 9, 9, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 3, 3, 4, 4, 10, 10, 10, 10, 0, 0, 0, 3, 3, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 3, 3, 4, 4, 11, 11, 11, 11, 0, 4, 4, 12, 0, 11, 11, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 32774, 305, 339, 716, 1188, 2914, 30, 2914, 81, 18986, 203, 465, 18452, 81, 18261, 203, 823, 894, 81, 94, 874, 81, 583, 81, 2228, 2265, 26, 771, 81, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 275, 202, 784, 32, 7163, 280, 2914, 32, 1393, 81, 1521, 346, 284, 665, 28921, 26, 784, 711, 275, 202, 784, 32, 7163, 280, 1665, 284, 665, 4522, 26, 784, 30, 1561, 81, 605, 30, 19287, 30, 660, 711, 203, 202, 12784, 280, 2914, 32, 2402, 81, 1855, 81, 85, 26, 1617, 81, 605, 30, 3177, 27, 203, 202, 2697, 71, 280, 18452, 81, 18261, 32, 94, 874, 81, 583, 81, 2228, 2265, 81, 1152, 26, 38, 30, 19287, 30, 225, 35, 30, 660, 32, 1439, 1157, 203, 202, 28635, 280, 2914, 32, 2402, 81, 16384, 81, 85, 346, 203, 202, 784, 32, 7163, 32, 3517, 26, 12784, 30, 516, 5221, 30, 475, 635, 27, 203, 202, 784, 32, 7163, 32, 1945, 346, 203, 202, 601, 475, 635, 32, 605, 346, 284, 665, 894, 81, 34, 34, 35, 81, 8543, 26, 784, 711, 291, 660, 280, 18452, 81, 18261, 32, 913, 46735, 81, 99, 1069, 93, 346, 203, 202, 1617, 81, 605, 280, 660, 32, 3953, 26536, 35, 34, 34, 34, 291, 489, 280, 225, 35, 34, 34, 1659, 202, 3140, 81, 605, 280, 1561, 81, 605, 77, 64, 10056, 203, 202, 1267, 280, 630, 32, 3792, 26, 1617, 81, 605, 30, 225, 34, 32, 35, 30, 660, 5594, 64, 10056, 203, 202, 784, 32, 862, 12267, 46876, 33458, 1324, 26, 3140, 81, 605, 30, 1056, 30, 225, 39, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 2914, 81, 18986, 32, 1945, 26, 858, 81, 94, 874, 81, 583, 81, 2228, 2265, 30, 313, 858, 81, 94, 874, 81, 583, 81, 2228, 2265, 32, 2593, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 8, 7, 8, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 5, 4, 3, 3, 8, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 8, 9, 8, 8, 10, 11, 10, 4, 4, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 9, 8, 9, 7, 8, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 9, 8, 9, 7, 8, 7, 4, 4, 5, 5, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 9, 10, 9, 8, 8, 8, 8, 4, 4, 6, 6, 7, 7, 7, 4, 4, 7, 7, 7, 6, 6, 8, 8, 7, 9, 8, 4, 4, 7, 6, 6, 9, 10, 9, 10, 10, 10, 9, 9, 10, 10, 10, 9, 9, 9, 9, 8, 4, 4, 8, 7, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 7, 7, 8, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 6, 6, 5, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 4, 4, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 1, 1, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 4, 4, 0, 0, 2, 0, 2, 1, 4, 4, 5, 5, 0, 0, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 0, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 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, 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 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 7976, 81, 465, 30, 1459, 81, 1126, 203, 465, 5237, 203, 465, 6436, 619, 2065, 203, 1070, 6436, 32, 32271, 1356, 1188, 15379, 6805, 30, 2454, 81, 5248, 203, 1070, 6436, 32, 2452, 2304, 32, 14481, 81, 1040, 1188, 622, 81, 4190, 81, 1356, 81, 6728, 203, 1070, 6436, 32, 4266, 1188, 19205, 30, 1420, 81, 1647, 81, 9089, 30, 5973, 203, 1270, 44, 284, 9098, 611, 280, 2454, 81, 5248, 463, 6844, 955, 370, 2065, 32, 1262, 32, 6844, 955, 3667, 761, 8223, 284, 617, 21415, 81, 9926, 280, 2933, 203, 7343, 29986, 44, 284, 617, 21415, 81, 9926, 280, 3177, 203, 823, 2108, 3013, 5876, 26, 7233, 711, 284, 477, 6114, 32, 5961, 325, 26, 1206, 617, 21415, 81, 9926, 30, 400, 313, 32271, 646, 3304, 544, 458, 4262, 11122, 657, 284, 477, 6114, 32, 3737, 11879, 325, 26, 3731, 32, 5134, 610, 715, 330, 2479, 89, 4463, 370, 313, 2272, 894, 438, 8967, 372, 3547, 544, 7443, 89, 4463, 657, 284, 665, 894, 81, 6390, 26, 784, 711, 291, 1596, 44, 324, 2454, 81, 5248, 463, 6844, 955, 370, 2065, 32, 1262, 32, 6844, 955, 3667, 761, 8223, 291, 2940, 29986, 619, 484, 44, 324, 3124, 280, 2884, 32271, 438, 646, 3304, 544, 458, 4262, 44, 27246, 322, 894, 20, 4511, 313, 308, 465, 1048, 1597, 44, 904, 101, 4731, 904, 596, 26, 87, 490, 324, 1459, 26, 2076, 27, 284, 477, 6114, 32, 5961, 325, 26, 1206, 617, 21415, 81, 9926, 30, 400, 313, 32271, 646, 3304, 544, 458, 4262, 11122, 657, 284, 477, 6114, 32, 3737, 11879, 325, 26, 3731, 32, 5134, 610, 715, 330, 2479, 89, 4463, 370, 313, 2272, 894, 438, 8967, 372, 3547, 544, 7443, 89, 4463, 657, 284, 665, 894, 81, 6390, 36, 26, 784, 711, 291, 1596, 44, 324, 1596, 44, 400, 1259, 280, 622, 81, 4190, 81, 1356, 81, 6728, 26, 297, 81, 2958, 81, 407, 47, 1815, 27, 400, 2454, 81, 5248, 463, 6844, 955, 23, 101, 25, 904, 1259, 30, 2065, 32, 1262, 32, 6844, 955, 3667, 761, 8223, 324, 2940, 29986, 44, 400, 1459, 440, 2023, 1673, 2304, 3304, 30, 27246, 894, 7144, 291, 2940, 29986, 619, 484, 44, 324, 3124, 280, 2884, 32271, 438, 646, 3304, 544, 458, 4262, 44, 27246, 322, 894, 20, 4511, 313, 308, 465, 1048, 1597, 44, 904, 101, 4731, 904, 596, 26, 87, 490, 324, 1459, 26, 2076, 27, 203, 823, 2108, 6242, 6805, 26, 7233, 711, 284, 665, 894, 81, 12010, 26, 784, 711, 291, 8793, 280, 2065, 32, 410, 85, 291, 298, 280, 15379, 6805, 26, 12010, 47, 2632, 27, 291, 630, 32, 6549, 26, 98, 32, 1070, 81, 753, 26, 2356, 32, 955, 2009, 35, 614, 8793, 2610, 291, 8793, 280, 4145, 91, 38, 25, 291, 298, 280, 15379, 6805, 26, 12010, 47, 2632, 27, 291, 630, 32, 6549, 26, 98, 32, 1070, 81, 753, 26, 2356, 32, 955, 2009, 35, 614, 8793, 2610, 291, 8793, 280, 2065, 32, 12010, 463, 48, 91, 38, 683, 291, 298, 280, 15379, 6805, 26, 12010 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 5, 4, 4, 6, 6, 6, 8, 8, 8, 6, 9, 10, 8, 9, 9, 7, 8, 8, 2, 2, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 6, 6, 6, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 7, 6, 7, 7, 6, 7, 7, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 6, 7, 7, 7, 6, 9, 8, 9, 7, 7, 7, 9, 9, 9, 9, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 6, 6, 10, 10, 10, 12, 12, 12, 10, 13, 14, 12, 13, 13, 11, 12, 12, 6, 6, 7, 8, 8, 7, 7, 7, 10, 10, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 12, 12, 14, 15, 14, 8, 8, 11, 12, 11, 2, 2, 7, 6, 7, 7, 6, 7, 7, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 6, 7, 7, 7, 6, 9, 8, 9, 7, 7, 7, 9, 9, 9, 9, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 6, 8, 8, 8, 11, 11, 13, 13, 13, 13, 13, 13, 13, 15, 15, 15, 15, 15, 14, 15, 13, 9, 9, 12, 12, 12, 15, 15, 15, 15, 15, 13, 13, 12, 12, 15, 16, 14, 15, 15, 13, 14, 14, 8, 8, 9, 9, 9, 9, 13, 15, 15, 15, 15, 15, 15, 15, 15, 6, 6, 7, 8, 8, 7, 7, 7, 10, 10, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 12, 12, 14, 15, 14, 8, 8, 11, 12, 11, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 8, 4, 4, 6, 6, 8, 8, 10, 9, 10, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 12, 11, 12, 11, 13, 12, 11, 11, 4, 4, 6, 6, 8, 8, 8, 4, 4, 6, 6, 8, 8, 10, 9, 10, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 12, 11, 12, 11, 13, 12, 11, 11, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 6, 6, 8, 8, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 1, 2, 2, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 1, 2, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 5, 5, 1, 2, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 6, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 3, 2, 2, 0, 0, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 3, 2, 2, 0, 0, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0 ]
[ 1070, 8527, 1188, 10548, 203, 1070, 8527, 32, 8538, 32, 3378, 1188, 2926, 48869, 470, 81, 5792, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 1070, 638, 1188, 4899, 203, 1070, 638, 1188, 4549, 203, 823, 31878, 1868, 1241, 26, 8538, 32, 1243, 1241, 711, 284, 18198, 81, 681, 280, 10548, 32, 13860, 1176, 26, 1172, 11645, 463, 14996, 1411, 1425, 16682, 6020, 1130, 284, 443, 11985, 44, 291, 1542, 280, 4549, 32, 14996, 1564, 291, 3829, 280, 2726, 15480, 81, 681, 370, 27, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 14996, 1868, 1241, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 3738, 280, 4899, 32, 15480, 81, 3926, 32, 302, 81, 19833, 26, 15480, 81, 1363, 47, 784, 32, 2386, 27, 291, 630, 32, 4151, 710, 15480, 81, 681, 5695, 19833, 280, 3738, 203, 14996, 1868, 1241, 470, 280, 2926, 48869, 470, 81, 5792, 26, 3378, 32, 14996, 1564, 30, 13687, 2234, 47, 14996, 1868, 1241, 30, 6717, 47, 34, 27, 203, 589, 622, 81, 15480, 81, 3958, 81, 8538, 81, 979, 81, 6332, 26, 6332, 30, 706, 711, 284, 5881, 284, 2616, 2504, 18198, 2350, 9585, 312, 308, 1363, 30, 5671, 30, 18198, 4245, 2234, 27, 8825, 32, 284, 1670, 2017, 438, 1289, 2234, 30, 322, 10970, 1994, 438, 1665, 32, 284, 5881, 284, 8351, 81, 363, 81, 8538, 280, 1605, 284, 436, 2350, 328, 8351, 44, 291, 18198, 81, 681, 280, 2350, 32, 15480, 81, 681, 291, 2234, 280, 4899, 32, 15480, 81, 3926, 32, 371, 81, 5983, 81, 599, 26, 1363, 30, 706, 27, 291, 8351, 81, 363, 81, 8538, 32, 1689, 1162, 1363, 30, 18198, 81, 681, 30, 2234, 490, 284, 442, 8351, 81, 363, 81, 8538, 203, 823, 17719, 1868, 1241, 26, 8538, 32, 1243, 1241, 711, 284, 11837, 81, 681, 280, 10548, 32, 13860, 1176, 26, 19833, 47, 1157, 284, 443, 11985, 44, 291, 1542, 280, 4549, 32, 2871, 291, 3829, 280, 2726, 7948, 81, 681, 370, 27, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 45553, 1241, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 3738, 280, 1149, 26, 4531, 32, 7948, 81, 3926, 32, 302, 81, 19833, 26, 1174, 47, 784, 32, 2386, 490, 291, 630, 32, 4151, 710, 7948, 81, 681, 5695, 19833, 280, 3738, 203, 589, 622, 81, 7948, 81, 3958, 81, 599, 26, 1174, 30, 706, 711, 284, 442, 4899, 32, 7948, 81, 3926, 32, 371, 81, 5983, 81, 599, 26, 1174, 30, 706, 27, 203, 823, 47606, 1241, 26, 8538, 32, 1243, 1241, 711, 284, 38505, 81, 29054, 280, 308, 291, 330, 19435, 81, 2232, 81, 426, 370, 330, 19435, 81, 2135, 81, 426, 370, 291, 330, 19435, 81, 16982, 81, 2468, 81, 35, 370, 330, 19435, 81, 5702, 370, 330, 19435, 81, 7035, 81, 3768, 370, 291, 330, 19435, 81, 7035, 370, 330, 19435, 81, 29445, 81, 687, 370, 330, 19435, 81, 5452, 25, 284, 829, 284, 443 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 6, 8, 7, 9, 11, 11, 11, 6, 7, 8, 2, 2, 3, 3, 3, 3, 6, 6, 7, 8, 8, 4, 4, 6, 6, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 10, 10, 10, 9, 11, 10, 11, 8, 4, 4, 9, 10, 8, 10, 10, 10, 10, 8, 6, 6, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 6, 5, 6, 6, 4, 4, 4, 5, 6, 6, 6, 4, 4, 5, 6, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 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, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 7, 8, 8, 8, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 4, 4, 8, 8, 8, 8, 7, 8, 7, 9, 8, 8, 9, 9, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 6, 8, 7, 8, 2, 2, 3, 3, 3, 3, 6, 6, 7, 8, 4, 4, 6, 6, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 6, 6, 8, 12, 11, 12, 12, 12, 10, 11, 11, 11, 10, 12, 11, 13, 12, 13, 10, 4, 4, 9, 10, 8, 10, 10, 10, 10, 8, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 6, 7, 7, 7, 5, 6, 6, 6, 6, 6, 5, 6, 5, 5, 5, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 5, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 5, 2, 2 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 1, 1, 2, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 3, 2, 4, 4, 1, 1, 1, 1, 0, 0, 2, 2, 2, 3, 3, 0, 0, 1, 1, 1, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 4, 4, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 1, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 0, 8, 8, 1, 1, 2, 0, 1, 2, 2, 2, 8, 8, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 4, 4, 1, 1, 1, 1, 0, 0, 2, 2, 3, 3, 0, 0, 1, 1, 1, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 9, 9, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 10, 10, 1, 2, 0, 1, 2, 2, 2, 10, 10, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4 ]
[ 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 465, 3089, 749, 98, 32, 23403, 32, 12710, 81, 15144, 619, 11339, 203, 823, 1539, 81, 12191, 81, 15175, 26, 500, 104, 32, 500, 104, 81, 5566, 711, 284, 617, 426, 280, 330, 2342, 32, 12191, 32, 15175, 25, 284, 617, 2310, 280, 330, 1791, 37585, 432, 24200, 25, 284, 617, 6057, 280, 301, 291, 330, 2445, 81, 15175, 950, 3829, 32, 1808, 463, 3409, 1910, 618, 370, 16105, 81, 7924, 47, 5974, 32, 371, 81, 15144, 463, 3409, 7137, 432, 22623, 1425, 2129, 47, 1815, 471, 284, 320, 284, 665, 1244, 81, 371, 26, 784, 30, 5564, 30, 12373, 30, 3829, 30, 1619, 47, 2521, 711, 291, 415, 1619, 438, 1665, 44, 324, 1619, 280, 2149, 291, 736, 280, 2599, 26, 2342, 81, 12191, 81, 15175, 30, 630, 547, 1536, 81, 371, 26, 2446, 30, 12373, 30, 3829, 30, 1619, 47, 1819, 27, 291, 18315, 81, 2067, 280, 630, 32, 5178, 32, 371, 463, 8087, 98, 32, 12191, 683, 291, 18315, 280, 18315, 81, 2067, 32, 14304, 26, 2446, 30, 12373, 30, 1619, 32, 371, 463, 2480, 81, 314, 1425, 1619, 47, 1819, 27, 291, 415, 330, 2445, 81, 15175, 25, 328, 3829, 44, 324, 736, 32, 1877, 14178, 2445, 81, 15175, 950, 18315, 32, 2445, 81, 15175, 1748, 291, 442, 736, 284, 665, 617, 1877, 81, 2445, 81, 452, 81, 17066, 26, 784, 30, 5564, 30, 12373, 30, 18315, 30, 38599, 30, 1619, 47, 2521, 711, 291, 5169, 81, 4446, 81, 2067, 280, 630, 32, 5178, 32, 371, 463, 9729, 32, 1500, 683, 291, 436, 345, 328, 18315, 32, 1500, 81, 4524, 81, 3631, 44, 324, 5169, 81, 4446, 81, 2067, 32, 1821, 26, 2446, 30, 12373, 30, 428, 95, 32, 314, 614, 5053, 2445, 81, 103, 418, 81, 15175, 950, 38599, 1748, 284, 665, 1539, 81, 8604, 81, 15175, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 1619, 47, 2521, 711, 291, 3627, 81, 314, 280, 1619, 461, 1619, 32, 371, 463, 2480, 81, 314, 370, 2700, 27, 291, 1201, 3627, 81, 314, 30, 30121, 4077, 4933, 646, 2431, 683, 291, 18315, 81, 2067, 280, 630, 32, 5178, 32, 371, 463, 8087, 98, 32, 12191, 683, 291, 323, 418, 81, 2067, 280, 630, 32, 5178, 32, 371, 463, 8087, 98, 32, 38132, 683, 291, 5169, 81, 2067, 280, 630, 32, 5178, 32, 371, 463, 9729, 32, 1500, 683, 291, 436, 341, 425, 81, 15175, 328, 630, 32, 14304, 26, 2446, 30, 12373, 30, 9668, 30, 1619, 47, 1819, 711, 324, 18315, 280, 18315, 81, 2067, 32, 14304, 26, 2446, 30, 12373, 30, 3627, 81, 314, 30, 1619, 47, 1819, 27, 324, 18315, 81, 2067, 32, 1821, 26, 2446, 30, 12373, 30, 428, 8604, 32, 314, 614, 5053, 2445, 81, 15175, 950, 341, 425, 81, 15175, 32, 2445, 81, 15175, 1748, 324, 18315, 81, 2067, 32, 1141, 81, 7924, 26, 2446, 30, 12373, 30, 428, 8604, 32, 314, 1130, 324, 436, 5169, 328, 18315, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 4, 4, 3, 4, 3, 4, 4, 4, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 8, 10, 10, 9, 12, 11, 12, 12, 12, 11, 13, 13, 13, 13, 13, 8, 9, 10, 8, 5, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 4, 4, 6, 6, 10, 11, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 9, 8, 8, 8, 8, 8, 8, 9, 10, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 4, 4, 6, 6, 9, 9, 8, 9, 8, 9, 8, 8, 8, 8, 10, 11, 10, 12, 12, 12, 12, 8, 9, 10, 8, 4, 4, 5, 8, 8, 8, 8, 6, 6, 5, 5, 5, 9, 10, 9, 13, 13, 13, 13, 11, 12, 13, 13, 13, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 5, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 10, 10, 10, 10, 9, 10, 9, 10, 9, 9, 9, 9, 12, 11, 12, 10, 9, 13, 13, 13, 13, 13, 13, 13, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 7, 6, 6, 7, 7, 9, 10, 9, 11, 11, 11, 11, 10, 9, 4, 4, 5, 6, 6, 5, 5, 9, 9, 9, 9, 9, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 6, 6, 6, 5, 5, 7, 8, 7, 8, 7, 7, 7, 7, 7, 7, 8, 9, 7, 5, 5, 8, 8, 11, 11, 10, 11, 10, 11, 10, 10, 10, 10, 11, 11, 10, 10, 11, 12, 10, 6, 6, 10, 10, 9, 10, 9, 10, 9, 9, 9, 9, 12, 11, 12, 10, 9, 13, 13, 13, 13, 11, 13, 13, 13, 12, 13, 13, 13, 10, 6, 6, 10, 10, 9, 10, 10, 10, 9, 10, 9, 9, 9, 9, 12, 11, 12, 10, 6, 6, 7, 7, 7, 8 ]
[ 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 4, 4, 4, 1, 1, 0, 3, 3, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 5, 2, 1, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 7, 2, 1, 4, 4, 4, 1, 1, 1, 2, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 4, 4, 5, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 11, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 2, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 5, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 7, 5, 5, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 5, 5, 5, 3, 3, 3, 3 ]
[ 1070, 8527, 32, 525, 1188, 4688, 38, 34, 38, 203, 1070, 35865, 12620, 97, 32, 36287, 1188, 2908, 81, 452, 81, 1986, 203, 1070, 8527, 32, 1199, 1188, 3387, 203, 1070, 9525, 32, 3378, 1188, 22509, 38935, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 589, 5436, 44569, 26, 7017, 711, 284, 5881, 6970, 312, 1149, 432, 1169, 5760, 645, 312, 6213, 619, 312, 2623, 44, 1056, 5436, 32, 284, 551, 11703, 318, 645, 18297, 4333, 9592, 284, 5585, 280, 6213, 32, 2310, 284, 1858, 280, 1605, 284, 1858, 32, 1689, 2009, 748, 77, 34, 79, 436, 932, 328, 5585, 1130, 284, 5760, 81, 1070, 81, 7017, 280, 6213, 32, 44569, 346, 284, 1858, 280, 1858, 474, 428, 668, 26, 643, 27, 436, 2698, 328, 5760, 81, 1070, 81, 7017, 79, 284, 442, 1858, 203, 589, 4428, 81, 1217, 81, 452, 81, 668, 26, 7017, 30, 2467, 81, 800, 711, 10065, 6213, 32, 4526, 26, 1217, 81, 800, 27, 284, 5081, 81, 1267, 280, 5436, 44569, 26, 7017, 27, 284, 442, 5081, 81, 1267, 203, 589, 14237, 26, 1357, 711, 284, 415, 646, 1326, 32, 496, 32, 297, 81, 15989, 44, 291, 3636, 4688, 38, 34, 38, 284, 3276, 280, 3447, 4079, 4177, 563, 6663, 313, 11278, 563, 48704, 284, 3276, 1365, 4079, 4177, 9557, 10189, 2680, 4243, 1446, 280, 2680, 32, 5740, 32, 2029, 922, 998, 346, 284, 3276, 1365, 4079, 4177, 9557, 29352, 2680, 4243, 1446, 280, 2680, 32, 5740, 32, 2029, 26, 297, 81, 2480, 47, 35, 547, 998, 346, 284, 3276, 1365, 4079, 4177, 9557, 4754, 2556, 1019, 1728, 4404, 3503, 3367, 26016, 1464, 1446, 280, 22509, 38935, 32, 5740, 32, 2029, 26, 297, 81, 2480, 47, 35, 547, 998, 346, 284, 6213, 280, 3387, 32, 7017, 346, 284, 1858, 81, 17439, 280, 2149, 284, 1858, 81, 17439, 1365, 7632, 9416, 31474, 308, 1700, 931, 1019, 1728, 27, 1446, 280, 1524, 291, 2192, 291, 8419, 81, 314, 619, 22509, 30, 291, 2385, 26, 496, 81, 314, 27, 619, 16643, 101, 291, 645, 9525, 81, 7632, 38510, 291, 2154, 438, 81, 2480, 47, 35, 291, 2350, 810, 8419, 81, 314, 291, 2532, 810, 16512, 5585, 45, 2993, 284, 1858, 81, 17439, 1365, 2171, 432, 16512, 328, 2504, 1451, 432, 6015, 1446, 280, 1524, 291, 2192, 9416, 31474, 619, 330, 17527, 436, 1156, 26149, 25, 1717, 291, 2385, 26, 12076, 31474, 27, 619, 14217, 291, 645, 308, 1613, 2385, 26, 496, 81, 314, 27, 619, 9416, 31474, 3083, 645, 9525, 81, 7632, 38510, 3083, 2154, 438, 81, 2480, 47, 35, 3083, 2350, 810, 1256, 81, 314, 27, 619, 9416, 31474, 81, 462, 81, 496, 291, 2350, 810, 9416, 31474, 45, 2993, 284, 436, 2467, 328, 1858, 81, 17439, 32, 3494, 2262, 291, 6213, 32, 4526, 26, 1274, 81, 17439, 77, 1217, 1130, 291, 3276, 1365, 11278, 15544, 1217, 79, 280, 4428, 81, 1217, 81, 452, 81, 668, 26, 7017, 30, 1858, 81, 17439, 77, 1217, 1130, 284, 1619, 280, 3447, 4295, 563, 3276, 111, 284, 442, 2908, 81, 452, 81, 1986, 440, 2300, 81, 7854, 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, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 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, 2, 2, 4, 4, 5, 6, 2, 2, 4, 4, 2, 2, 5, 6, 5, 8, 7, 8, 7, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 2, 2, 4, 4, 5, 5, 8, 8, 9, 8, 6, 7, 7, 7, 8, 8, 8, 8, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 5, 6, 5, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 6, 6, 7, 6, 2, 2, 3, 4, 4, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 6, 7, 5, 6, 6, 6, 3, 3, 3, 5, 6, 6, 6, 2, 2, 4, 4, 8, 8, 8, 6, 5, 8, 8, 6, 2, 2, 6, 8, 8, 8, 7, 7, 7, 7, 4, 4, 9, 10, 8, 9, 8, 7, 6, 2, 2, 6, 8, 8, 8, 7, 7, 7, 7, 4, 4, 9, 10, 8, 9, 8, 10, 10, 10, 9, 10, 8, 7, 6, 2, 2, 6, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 10, 9, 10, 8, 9, 8, 10, 10, 10, 9, 10, 8, 7, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 5, 5, 4, 4, 2, 2, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 3, 3, 3, 6, 6, 5, 6, 5, 3, 3, 7, 8, 7, 9, 9, 9, 8, 9, 8, 4, 4, 8, 10, 10, 8, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 10, 10, 9, 10, 9, 2, 2, 4, 4, 8, 8, 6, 5, 2, 2, 3, 5, 5, 5, 5, 5, 7, 7, 7, 7 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 5, 5, 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, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 4, 4, 6, 0, 6, 6, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 6, 6, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 2, 1, 1, 0, 7, 7, 2, 1, 2, 7, 7, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 2, 1, 2, 1, 2, 3, 4, 4, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 4, 4, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 4, 4, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 9, 9, 9, 0, 0, 0, 2, 1, 9, 9, 0, 2, 1, 0, 0, 0, 1, 2, 1, 5, 5, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 3, 4, 4, 0, 0, 1, 2, 1, 2, 4, 4, 11, 0, 0, 0, 0, 1, 1, 1, 1, 1 ]
[ 465, 2322, 203, 465, 323, 46975, 203, 1070, 3619, 32725, 32, 1956, 1188, 6512, 203, 1070, 3619, 32725, 32, 1909, 483, 1188, 622, 81, 22235, 81, 1170, 81, 426, 30, 622, 81, 22235, 81, 979, 81, 3607, 30, 766, 284, 1709, 5965, 203, 589, 438, 975, 37132, 13733, 915, 81, 1536, 26, 102, 681, 30, 273, 853, 711, 284, 442, 646, 273, 681, 328, 6512, 32, 8208, 203, 589, 438, 975, 32126, 13733, 915, 81, 916, 26, 102, 681, 30, 273, 853, 711, 284, 415, 646, 273, 853, 44, 291, 442, 3177, 284, 415, 273, 681, 328, 6512, 32, 558, 32, 2633, 44, 291, 415, 273, 853, 610, 330, 6457, 556, 273, 853, 77, 34, 79, 610, 4145, 25, 461, 540, 853, 6448, 35, 79, 610, 32041, 950, 324, 442, 2933, 284, 442, 3177, 203, 589, 438, 975, 37132, 13733, 915, 81, 2079, 26, 102, 681, 30, 273, 853, 711, 284, 442, 273, 681, 328, 6512, 32, 66, 24661, 461, 273, 853, 610, 330, 8129, 203, 823, 6512, 2265, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1825, 711, 20216, 630, 32, 2812, 280, 1825, 291, 630, 32, 8395, 280, 1605, 291, 630, 32, 21463, 280, 1605, 20216, 630, 32, 416, 280, 225, 34, 4456, 415, 1825, 32, 2645, 44, 324, 4870, 280, 1825, 32, 2645, 324, 1596, 44, 400, 415, 2322, 32, 983, 32, 48271, 26, 3607, 5594, 35, 79, 610, 5608, 916, 950, 528, 630, 32, 22235, 280, 622, 81, 22235, 81, 1170, 81, 426, 463, 916, 29, 11025, 370, 17739, 16469, 8378, 47, 2700, 30, 17739, 7328, 1057, 3310, 42, 683, 400, 4348, 2322, 32, 983, 32, 48271, 26, 3607, 5594, 35, 79, 610, 5608, 978, 950, 528, 630, 32, 22235, 280, 622, 81, 22235, 81, 1170, 81, 426, 463, 2958, 370, 17739, 16469, 8378, 47, 2700, 30, 17739, 7328, 1057, 3310, 42, 683, 400, 813, 44, 528, 630, 32, 22235, 280, 622, 81, 22235, 81, 979, 81, 3607, 26, 3607, 30, 7567, 16469, 8378, 47, 2700, 30, 7567, 7328, 1057, 3310, 42, 683, 324, 2940, 1709, 5965, 44, 400, 630, 32, 22235, 280, 1665, 291, 813, 44, 324, 630, 32, 22235, 280, 1665, 284, 665, 1974, 26, 784, 30, 645, 81, 2881, 47, 2521, 30, 372, 81, 2881, 47, 2521, 711, 291, 1795, 280, 630, 32, 2812, 32, 1286, 291, 415, 646, 630, 32, 22235, 44, 324, 630, 32, 8395, 280, 10440, 1763, 32, 1031, 30, 1795, 2177, 324, 630, 32, 21463, 280, 428, 34, 79, 324, 442, 291, 415, 646, 372, 81, 2881, 44, 324, 372, 81, 2881, 280, 2069, 26, 1286, 27, 291, 415, 646, 630, 32, 8395, 44, 324, 645, 81, 2881, 280, 1665, 291, 415, 645, 81, 2881, 610, 1665, 44, 324, 645, 81, 2881, 280, 225, 34, 324, 630, 32, 416, 280, 225, 34, 324, 630, 32, 8395, 280, 1605, 324, 630, 32, 21463, 280, 1605, 324, 1340, 280, 1795, 291, 813, 44, 324, 415, 630, 32, 21463, 44, 400, 2401, 81, 2881, 280, 630, 32, 21463, 6448, 35, 79, 324, 813, 44, 400, 2401, 81, 2881, 280, 225, 34, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 3, 4, 6, 5, 5, 6, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 3, 4, 5, 3, 3, 3, 5, 2, 2, 3, 5, 4, 4, 6, 7, 5, 6, 3, 3, 3, 5, 8, 7, 7, 9, 6, 6, 10, 9, 10, 9, 8, 8, 10, 7, 7, 10, 9, 11, 9, 8, 8, 10, 5, 5, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 3, 6, 5, 5, 6, 7, 7, 4, 4, 6, 5, 5, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 4, 4, 5, 6, 7, 5, 5, 5, 8, 8, 9, 10, 6, 6, 7, 7, 7, 9, 14, 15, 13, 14, 13, 14, 13, 12, 11, 10, 10, 12, 12, 9, 9, 13, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 16, 16, 16, 16, 14, 14, 16, 15, 16, 14, 14, 14, 15, 17, 17, 17, 9, 9, 10, 15, 16, 14, 15, 14, 15, 14, 13, 12, 11, 11, 13, 13, 10, 10, 14, 15, 13, 13, 15, 15, 15, 15, 15, 15, 15, 17, 17, 15, 15, 17, 16, 17, 15, 15, 15, 16, 18, 18, 18, 9, 9, 10, 10, 10, 14, 15, 13, 13, 15, 15, 15, 15, 15, 15, 15, 16, 15, 15, 15, 17, 16, 17, 15, 15, 15, 16, 18, 18, 18, 7, 7, 8, 9, 8, 8, 8, 12, 13, 11, 11, 5, 5, 6, 6, 6, 10, 11, 9, 9, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 6, 6, 8, 9, 7, 8, 4, 4, 5, 6, 7, 8, 5, 5, 5, 9, 10, 8, 8, 12, 11, 12, 10, 10, 10, 6, 6, 9, 10, 8, 8, 10, 9, 6, 6, 4, 4, 5, 6, 7, 7, 5, 5, 5, 9, 9, 8, 8, 10, 11, 10, 4, 4, 5, 6, 7, 8, 5, 5, 5, 9, 9, 8, 8, 4, 4, 5, 7, 7, 6, 6, 5, 5, 5, 9, 9, 8, 8, 9, 6, 6, 9, 10, 8, 8, 9, 6, 6, 9, 10, 8, 8, 6, 6, 9, 10, 8, 8, 6, 6, 8, 8, 5, 5, 6, 6, 6, 8, 9, 10, 8, 8, 8, 12, 12, 11, 11, 13, 14, 12, 14, 12, 8, 8, 9, 9, 9, 13, 13, 12, 12, 13, 7 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 7, 3, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 4, 4, 0, 1, 0, 1, 1, 2, 2, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 5, 5, 0, 1, 1, 0, 0, 0, 0, 4, 4, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 4, 4, 2, 0, 6, 6, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 6, 6, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 4, 4, 1, 2, 4, 4, 4, 0, 0, 2, 2, 3, 3, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 3, 2, 1, 1, 1, 5, 1, 1, 2, 0, 0, 4, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 3, 2, 1, 1, 1, 5, 1, 1, 2, 0, 0, 5, 5, 5, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 3, 2, 1, 1, 1, 5, 1, 1, 2, 1, 1, 3, 1, 3, 3, 3, 0, 2, 0, 0, 4, 4, 4, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 3, 3, 0, 2, 0, 0, 1, 2, 3, 3, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 3, 1, 1, 2, 3, 3, 3, 0, 0, 0, 0, 4, 4, 4, 0, 0, 1, 1, 4, 4, 4, 0, 0, 0, 0, 2, 3, 3, 0, 2, 0, 0, 2, 3, 3, 0, 2, 0, 0, 3, 3, 0, 2, 0, 0, 3, 3, 0, 0, 4, 4, 4, 4, 4, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 2 ]
[ 1070, 13625, 1188, 636, 41766, 203, 1070, 8527, 32, 1262, 32, 9331, 32, 1439, 1188, 3772, 2019, 30, 5718, 924, 203, 1070, 831, 18324, 32, 1237, 32, 8246, 1188, 707, 7211, 203, 823, 5718, 26, 1761, 2019, 711, 284, 2181, 280, 4145, 2812, 81, 983, 1825, 81, 983, 2417, 6457, 284, 3049, 280, 330, 4913, 1591, 556, 1829, 12827, 645, 322, 1825, 2330, 25, 284, 665, 1015, 81, 8299, 26, 784, 30, 4118, 711, 291, 4118, 32, 669, 81, 2669, 26, 324, 330, 8478, 370, 324, 3049, 1057, 1215, 372, 1825, 26, 101, 471, 2124, 517, 272, 31, 2045, 33, 2180, 33, 2595, 370, 324, 34292, 1057, 45896, 324, 34664, 1057, 983, 683, 284, 665, 2887, 26, 784, 30, 319, 1132, 30, 1115, 2184, 711, 291, 7139, 280, 636, 41766, 463, 3703, 370, 330, 1338, 30, 1048, 683, 291, 1245, 280, 7139, 26, 1338, 47, 784, 32, 9362, 32, 1821, 30, 1048, 47, 784, 32, 8228, 32, 1821, 27, 291, 7842, 280, 2075, 710, 8478, 785, 291, 415, 646, 7842, 44, 324, 3636, 5718, 924, 463, 14978, 821, 6225, 1591, 1825, 1519, 372, 3345, 683, 291, 3693, 81, 6921, 81, 7794, 81, 16564, 280, 1605, 291, 436, 1519, 328, 7842, 44, 324, 415, 1519, 32, 15990, 3247, 7831, 400, 1519, 280, 1519, 77, 35, 10056, 324, 11259, 30, 18935, 30, 17310, 280, 1519, 32, 11458, 24667, 324, 5759, 30, 18935, 30, 13203, 280, 17310, 32, 11458, 24667, 324, 415, 5759, 610, 330, 2180, 950, 400, 17310, 280, 13203, 324, 3693, 81, 6921, 81, 7794, 81, 16564, 32, 1689, 1162, 6921, 30, 17310, 490, 291, 707, 7211, 26, 1427, 81, 6921, 81, 7794, 81, 16564, 30, 1245, 47, 751, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 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, 7, 7, 9, 9, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 8, 10, 7, 7, 8, 10, 10, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 6, 6, 8, 8, 10, 10, 8, 10, 10, 10, 10, 4, 4, 6, 6, 8, 10, 9, 12, 11, 12, 10, 11, 8, 8, 9, 12, 11, 12, 10, 11, 8, 4, 4, 6, 6, 7, 9, 9, 4, 4, 5, 6, 5, 5, 5, 7, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 7, 9, 10, 9, 11, 7, 7, 10, 10, 11, 13, 12, 6, 6, 9, 9, 9, 9, 8, 8, 10, 11, 10, 6, 6, 9, 9, 9, 9, 8, 8, 10, 11, 10, 6, 6, 7, 8, 8, 10, 10, 7, 7, 10, 10, 6, 6, 10, 10, 10, 10, 10, 10, 9, 10, 9, 11, 10, 10, 10, 4, 4, 7, 7, 8, 8, 8, 8, 8, 8, 8, 7, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 4, 1, 6, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 3, 3, 2, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 7, 1, 2, 4, 4, 3, 2, 1, 2, 2, 1, 2, 2, 1, 2, 3, 3, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 3, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 2, 4, 4, 3, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 5, 5, 5, 5, 5, 5, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 1, 5, 5, 3, 1, 1, 1, 2, 3, 3, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 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 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 34380, 30, 11815, 81, 25661, 30, 1459, 81, 1126, 30, 715, 15390, 81, 30839, 30, 623, 81, 9849, 27, 203, 465, 2322, 203, 1070, 1619, 1356, 1188, 1619, 4018, 203, 465, 4395, 203, 1070, 298, 327, 32, 1320, 1188, 516, 6453, 4045, 30, 9707, 30, 6374, 4045, 203, 1070, 298, 327, 32, 15678, 1188, 1683, 32906, 1529, 30, 5889, 203, 1070, 298, 2376, 32, 7878, 32, 2958, 32, 27027, 81, 2613, 1188, 4865, 18636, 30, 4865, 18636, 2597, 203, 1070, 298, 2376, 32, 7878, 32, 2958, 32, 1113, 17579, 32, 2958, 81, 5522, 1188, 4865, 6435, 203, 1070, 298, 2376, 32, 2958, 32, 2958, 81, 13825, 1188, 4865, 42443, 203, 1070, 298, 2376, 32, 1040, 32, 1819, 1040, 1188, 14016, 81, 1515, 203, 1070, 298, 2376, 81, 858, 32, 1439, 81, 858, 1188, 47265, 203, 823, 2108, 18636, 2597, 26, 1761, 1006, 711, 334, 477, 16099, 334, 665, 617, 2682, 81, 3371, 81, 34775, 26, 34775, 711, 284, 442, 596, 26, 34775, 547, 3227, 463, 379, 36, 6418, 330, 379, 43, 43, 11834, 334, 665, 14553, 26, 784, 711, 284, 2599, 26, 1006, 18636, 2597, 30, 630, 547, 23741, 346, 284, 630, 1114, 27027, 280, 4865, 18636, 32, 371, 346, 334, 477, 1819, 4018, 334, 665, 617, 5522, 81, 858, 26, 784, 30, 13383, 47, 2521, 711, 284, 4395, 81, 5522, 280, 4395, 32, 20229, 3660, 922, 601, 81, 853, 284, 827, 26, 3613, 81, 5522, 547, 27027, 81, 15106, 280, 4395, 32, 1653, 3660, 26, 601, 81, 853, 47, 15106, 27, 284, 623, 14016, 81, 1515, 346, 619, 1519, 44, 397, 4395, 81, 5522, 32, 27027, 81, 2613, 81, 1515, 280, 1519, 397, 3320, 280, 4865, 18636, 2597, 26, 3613, 81, 5522, 30, 4395, 32, 20229, 3660, 1157, 397, 665, 739, 81, 1146, 1001, 5725, 2176, 711, 291, 3320, 1114, 1146, 1001, 5725, 32, 669, 26, 784, 1114, 27027, 27, 397, 3320, 1114, 5522, 81, 10569, 280, 4395, 32, 3660, 26, 2671, 81, 7469, 47, 470, 81, 1146, 1001, 5725, 27, 397, 3320, 1114, 5522, 81, 8478, 280, 4395, 32, 3660, 346, 397, 6761, 3320, 30, 1519, 334, 665, 617, 1409, 81, 858, 26, 784, 30, 13383, 30, 10582, 30, 2799, 711, 284, 623, 630, 1114, 5522, 81, 858, 26, 15106, 27, 619, 308, 2613, 30, 617, 711, 397, 630, 32, 5299, 26, 2613, 32, 5522, 26, 9211, 47, 9211, 471, 2799, 27, 334, 665, 894, 81, 2613, 81, 5522, 81, 1793, 81, 1347, 81, 9211, 81, 7668, 81, 6426, 81, 1536, 81, 35364, 26, 784, 711, 284, 630, 1114, 1409, 81, 858, 2009, 784, 1114, 2682, 81, 3371, 81, 34775, 26, 784, 1114, 27027, 32, 8543, 32, 34775, 14155, 5518, 11544, 334, 665, 894, 81, 2613, 81, 5522, 81, 1793, 81, 1347, 81, 9211, 81, 7668, 81, 6426, 81, 1536, 26, 784, 711, 284, 630, 1114, 1409, 81, 858, 1162, 84, 33280, 471, 5518, 428, 784, 1114, 27027, 1130, 334, 665, 894, 81, 2613, 81, 5522, 81, 1793, 81, 2029, 81, 25075, 81, 6426, 81, 1536, 26, 784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 10, 11, 10, 9, 8, 10, 10, 10, 8, 10, 10, 10, 10, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 6, 6, 9, 8, 9, 8, 2, 2, 5, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 6, 7, 5, 4, 4, 8, 8, 7, 7, 10, 11, 11, 10, 9, 9, 9, 5, 5, 9, 10, 10, 10, 9, 9, 9, 9, 6, 6, 9, 10, 10, 9, 11, 11, 11, 10, 11, 9, 5, 5, 6, 11, 11, 11, 9, 9, 6, 6, 6, 11, 11, 10, 11, 11, 11, 11, 11, 9, 9, 7, 7, 9, 9, 11, 11, 11, 12, 12, 12, 11, 11, 13, 14, 14, 13, 7, 7, 8, 9, 9, 9, 9, 9, 9, 8, 8, 13, 14, 14, 14, 12, 13, 12, 14, 13, 14, 12, 7, 7, 10, 11, 11, 11, 9, 9, 11, 12, 11, 13, 13, 13, 12, 13, 13, 13, 13, 13, 11, 7, 7, 10, 11, 11, 11, 9, 9, 11, 12, 11, 7, 7, 9, 10, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 10, 11, 11, 11, 10, 11, 10, 8, 8, 11, 10, 10, 10, 5, 5, 9, 10, 9, 12, 11, 12, 11, 13, 12, 13, 11, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 11, 10, 11, 11, 11, 11, 11, 10, 14, 13, 14, 12, 13, 11, 12, 10, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 10, 10, 8, 7, 7, 10, 9, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 5, 5, 0, 6, 6, 0, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 1, 6, 6, 1, 8, 8, 8, 7, 7, 0, 0, 8, 8, 0, 1, 2, 1, 4, 4, 4, 8, 8, 0, 0, 9, 9, 0, 1, 2, 1, 4, 4, 9, 9, 0, 0, 0, 10, 10, 0, 0, 0, 1, 2, 2, 2, 10, 10, 0, 11, 11, 1, 1, 2, 1, 1, 2, 11, 11, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 4, 4, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 3, 3, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 0, 0, 0, 2, 1, 3, 3, 0, 1, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 5, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1 ]
[ 465, 2322, 203, 1070, 29947, 1188, 4705, 30, 5718, 30, 2290, 81, 5043, 203, 823, 14106, 2019, 26, 2019, 711, 284, 1256, 81, 2184, 280, 1605, 284, 665, 7379, 81, 2184, 26, 784, 711, 291, 3097, 284, 665, 34207, 81, 2184, 26, 784, 711, 291, 3097, 284, 665, 1420, 26, 784, 711, 291, 2322, 32, 2946, 440, 3925, 429, 48740, 5841, 1832, 5841, 2452, 638, 11734, 40546, 638, 11734, 21280, 31, 1338, 33330, 45823, 14755, 32, 2593, 41521, 101, 32, 1199, 657, 203, 589, 1491, 26, 10555, 711, 284, 442, 2156, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 18146, 3427, 850, 346, 203, 5522, 26, 284, 636, 280, 313, 2978, 635, 392, 284, 7599, 280, 2290, 81, 5043, 1026, 284, 1503, 280, 313, 34, 32, 34, 32, 37, 392, 284, 3048, 280, 313, 8312, 27848, 30154, 31378, 10018, 1501, 392, 284, 1946, 81, 2310, 280, 1491, 440, 10229, 32, 954, 2113, 284, 3541, 280, 313, 21181, 104, 37, 392, 284, 4081, 280, 313, 2185, 49147, 559, 13398, 6482, 363, 392, 284, 4081, 81, 1935, 280, 313, 44457, 302, 32, 290, 503, 6803, 50, 7253, 32, 508, 392, 284, 1984, 280, 313, 641, 555, 933, 32, 508, 33, 290, 503, 6803, 33, 2978, 635, 392, 284, 5822, 81, 965, 280, 313, 641, 555, 933, 32, 508, 33, 290, 503, 6803, 33, 2978, 635, 33, 5366, 11653, 33, 34, 32, 34, 32, 37, 392, 284, 16400, 280, 3037, 63, 9551, 392, 313, 268, 38197, 476, 392, 313, 22355, 392, 313, 66, 852, 101, 3439, 284, 43397, 280, 428, 291, 313, 20235, 5400, 2037, 225, 36, 429, 7474, 31, 10985, 392, 284, 2505, 284, 4774, 823, 280, 301, 291, 313, 6008, 563, 14106, 2019, 30, 284, 320, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 3, 2, 1, 1, 3, 7, 11, 10, 11, 9, 10, 9, 13, 12, 13, 11, 12, 11, 12, 12, 9, 9, 6, 5, 0, 3, 3, 3, 3, 4, 4, 6, 6, 6, 3, 3, 4, 4, 6, 6, 6, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 4, 6, 8, 8, 8, 8, 3, 3, 4, 4, 6, 6, 6, 6, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 5, 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, 4, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 3, 3, 5, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 5, 5, 4, 5, 5, 8, 8, 6, 7, 7, 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 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 4, 4, 3, 2, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 2, 1, 2, 3, 3, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 0, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 2, 1, 1, 7, 7, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 9, 9, 1, 1, 1, 1, 2, 1, 1, 11, 11, 1, 1, 1, 2, 1, 1, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 15, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 17, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 19, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 21, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 23, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 25, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3829, 30, 337, 2269, 203, 3521, 81, 14769, 81, 5807, 280, 5881, 78, 203, 575, 280, 1605, 203, 2446, 32, 4526, 440, 1613, 804, 30, 1340, 645, 3497, 81, 14431, 657, 203, 979, 3627, 328, 5564, 32, 2665, 44569, 2262, 284, 736, 32, 1689, 26, 4133, 710, 687, 3490, 203, 1267, 280, 736, 203, 9592, 203, 823, 46743, 81, 862, 81, 858, 26, 500, 104, 32, 500, 104, 711, 284, 617, 426, 280, 313, 47771, 32, 862, 32, 858, 20, 284, 617, 1174, 280, 313, 7508, 20, 284, 617, 6057, 280, 301, 291, 330, 426, 950, 3829, 32, 1594, 463, 1006, 3270, 370, 2129, 47, 1815, 30, 2192, 47, 1815, 30, 8778, 47, 1815, 471, 291, 330, 3801, 950, 3829, 32, 878, 463, 1006, 5591, 370, 2192, 47, 1815, 30, 8778, 47, 1815, 471, 291, 330, 687, 81, 2493, 950, 3829, 32, 878, 463, 8312, 1340, 370, 2129, 47, 1815, 471, 291, 330, 2480, 950, 3829, 32, 4398, 463, 4077, 1425, 291, 330, 7508, 950, 3829, 32, 5823, 463, 5897, 1425, 284, 320, 284, 617, 10514, 280, 301, 291, 330, 687, 81, 2493, 950, 16425, 81, 14769, 81, 5807, 30, 291, 330, 2480, 950, 2933, 30, 291, 330, 7508, 950, 225, 35, 34, 30, 284, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 2, 2, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 10, 8, 9, 10, 8, 8, 9, 10, 8, 8, 9, 10, 8, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 10, 8, 9, 10, 8, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 8, 9, 10, 8, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 5, 5, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 7, 7, 7, 7, 5, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 2, 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, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 2, 2, 1, 2, 3, 0, 2, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 1, 2, 2, 1, 1, 1, 2, 5, 0, 2, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 1, 2, 7, 0, 2, 1, 1, 2, 2, 2, 1, 2, 9, 0, 2, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 638, 1188, 20996, 203, 589, 1326, 26, 1959, 30, 1984, 30, 1115, 5321, 711, 284, 623, 20996, 32, 3135, 346, 619, 3523, 44, 291, 442, 3523, 32, 1357, 26, 1959, 47, 1959, 30, 1984, 47, 965, 30, 1115, 5321, 27, 203, 589, 622, 26, 965, 30, 2803, 47, 2521, 30, 1115, 5321, 711, 284, 10306, 32, 37329, 463, 4568, 81, 45116, 370, 2933, 27, 284, 442, 1326, 463, 371, 370, 1984, 30, 2803, 47, 2132, 30, 1115, 5321, 27, 203, 589, 2075, 26, 965, 30, 1115, 5321, 711, 284, 10306, 32, 37329, 463, 4568, 81, 45116, 370, 2933, 27, 284, 442, 1326, 463, 2184, 370, 1984, 30, 1115, 5321, 27, 203, 589, 5759, 26, 965, 30, 1115, 5321, 711, 284, 10306, 32, 37329, 463, 4568, 81, 45116, 370, 3177, 27, 284, 442, 1326, 463, 1816, 370, 1984, 30, 1115, 5321, 27, 203, 589, 2364, 26, 965, 30, 706, 47, 2521, 30, 2361, 47, 2521, 30, 1115, 5321, 711, 284, 442, 1326, 463, 1526, 370, 1984, 30, 706, 47, 605, 30, 2361, 47, 1260, 30, 1115, 5321, 27, 203, 589, 4162, 26, 965, 30, 706, 47, 2521, 30, 1115, 5321, 711, 284, 442, 1326, 463, 524, 370, 1984, 30, 706, 47, 605, 30, 1115, 5321, 27, 203, 589, 7841, 26, 965, 30, 706, 47, 2521, 30, 1115, 5321, 711, 284, 442, 1326, 463, 2675, 370, 1984, 30, 225, 706, 47, 605, 30, 1115, 5321, 27, 203, 589, 3066, 26, 965, 30, 1115, 5321, 711, 284, 442, 1326, 463, 2560, 370, 1984, 30, 1115, 5321, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 2, 2, 2, 4, 2, 1, 1, 3, 8, 9, 8, 6, 6, 3, 3, 3, 5, 7, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 7, 9, 7, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 2, 4, 2, 1, 1, 5, 6, 5, 7, 7, 7, 7, 5, 5, 2, 2, 3, 5, 7, 7, 5, 5, 5, 6, 7, 5, 5, 7, 5, 0, 1, 1, 2, 3, 2, 2, 4, 2, 1, 1, 5, 6, 5, 7, 7, 7, 7, 5, 5, 2, 2, 3, 5, 7, 7, 5, 5, 5, 7, 5, 0, 1, 1, 2, 3, 2, 2, 4, 2, 1, 1, 5, 6, 5, 7, 7, 7, 7, 5, 5, 2, 2, 3, 5, 7, 7, 5, 5, 5, 7, 5, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 4, 2, 1, 1, 3, 5, 7, 7, 5, 5, 5, 6, 7, 5, 5, 6, 7, 5, 5, 7, 5, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 2, 4, 2, 1, 1, 3, 5, 7, 7, 5, 5, 5, 6, 7, 5, 5, 7, 5, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 2, 4, 2, 1, 1, 3, 5, 7, 7, 5, 5, 5, 5, 6, 7, 5, 5, 7, 5, 0, 1, 1, 2, 3, 2, 2, 4, 2, 1, 1, 3, 5, 7, 7, 5, 5, 5, 7, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 5, 2, 1, 1, 1, 1, 0, 3, 3, 2, 1, 2, 2, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 4, 4, 2, 1, 2, 2, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 5, 5, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 1, 2, 5, 5, 0, 1, 1, 2, 1, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 1, 1, 0, 6, 6, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 6, 6, 0, 1, 1, 2, 1, 1, 1, 5, 2, 1, 1, 1, 1, 0, 7, 7, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 7, 7, 0, 1, 1, 2, 1, 1, 1, 1, 5, 2, 1, 1, 1, 1, 0, 8, 8, 2, 1, 2, 2, 1, 2, 8, 8, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1188, 4125, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 1070, 456, 2593, 1188, 2971, 972, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 823, 1976, 417, 26, 500, 104, 32, 500, 104, 711, 284, 617, 426, 280, 330, 3524, 81, 10756, 417, 32, 10756, 417, 25, 284, 617, 2310, 280, 330, 3341, 18756, 31, 417, 25, 284, 617, 4875, 81, 426, 280, 330, 426, 25, 284, 617, 6057, 280, 301, 291, 330, 10756, 417, 81, 928, 950, 3829, 32, 658, 36, 11374, 463, 3524, 81, 10756, 417, 32, 10756, 417, 32, 928, 370, 330, 10756, 417, 81, 314, 370, 330, 13052, 31, 417, 370, 1933, 47, 1815, 471, 291, 330, 6604, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 575, 32, 6604, 370, 330, 12309, 370, 2129, 47, 1815, 471, 291, 330, 426, 950, 3829, 32, 10513, 463, 6604, 81, 314, 370, 330, 426, 370, 802, 280, 313, 558, 392, 4283, 47, 1815, 30, 827, 347, 1594, 2113, 284, 320, 284, 617, 10514, 280, 301, 291, 330, 6604, 81, 314, 950, 9254, 309, 30, 5564, 30, 12373, 30, 281, 44, 309, 32, 5178, 32, 371, 463, 575, 32, 6604, 1814, 81, 6604, 81, 1536, 81, 371, 26, 2446, 30, 12373, 30, 330, 3524, 81, 10756, 417, 32, 10756, 417, 370, 1619, 47, 85, 471, 284, 320, 284, 617, 2602, 81, 15106, 280, 41449, 6604, 81, 30623, 370, 330, 5665, 26, 6604, 81, 314, 7243, 330, 4495, 1591, 1976, 31, 417, 1292, 10512, 438, 6660, 12357, 225, 203, 823, 1976, 417, 81, 928, 26, 500, 104, 32, 500, 104, 711, 284, 665, 617, 371, 81, 1536, 81, 2387, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 1619, 47, 2521, 711, 291, 1596, 44, 324, 442, 630, 32, 5178, 32, 371, 463, 476, 32, 1160, 32, 605, 1814, 371, 81, 1473, 81, 3576, 26, 2446, 30, 12373, 30, 330, 3524, 81, 10756, 417, 370, 330, 1935, 81, 2387, 81, 3524, 81, 10756, 417, 81, 1536, 11968, 35, 79, 291, 2940, 10091, 44, 324, 442, 3177, 284, 617, 426, 280, 330, 3524, 81, 10756, 417, 32, 10756, 417, 32, 928, 25, 284, 617, 2310, 280, 330, 13052, 31, 417, 18805, 25, 284, 617, 6057, 280, 301, 291, 330, 426, 950, 3829, 32, 1594, 463, 13052, 31, 1386, 5245, 370, 2129, 47, 1815, 471, 291, 330, 7508, 950, 3829, 32, 5823, 463, 5897, 370, 3049, 347, 57, 4119, 322, 6613, 2532, 1412, 25941, 312, 1149, 432, 1976, 31, 417, 5430, 26551, 291, 330, 7843, 950, 3829, 32, 5823, 463, 24348, 48573, 370, 3049, 347, 1318, 1451, 432, 6935, 2685, 322, 7254, 2340, 432, 322, 20461, 372, 4465, 2670, 11926, 322, 35861, 32, 225, 12619, 526, 11003, 415, 844, 2637, 372, 3240, 312, 7743, 659, 5953, 2670, 4668, 4414, 2129, 47, 1815, 471, 291, 330, 10756, 417, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 3524, 81, 10756, 417, 32, 10756, 417, 370, 330, 13052, 632, 1069, 370, 2129, 47, 1815, 30, 544, 2560, 347, 26640, 2113, 291, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 8, 9, 10, 8, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 8, 10, 10, 8, 9, 9, 11, 11, 8, 9, 10, 8, 8, 9, 11, 11, 5, 5, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 7, 8, 8, 8, 8, 8, 8, 7, 7, 12, 13, 11, 12, 11, 13, 13, 13, 13, 10, 10, 10, 10, 10, 10, 9, 10, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 10, 11, 9, 5, 5, 2, 2, 5, 5, 5, 4, 4, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 5, 5, 7, 13, 14, 12, 13, 12, 14, 14, 14, 14, 14, 14, 11, 11, 11, 11, 11, 10, 11, 10, 10, 10, 10, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 8, 5, 5, 6, 6, 6, 6, 8, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 10, 8, 9, 10, 8, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 10, 8, 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, 11, 11, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 9, 10, 8, 8, 10, 9, 11, 11, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 2, 0, 0, 1, 2, 2, 2, 4, 4, 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, 0, 0, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 7, 2, 1, 2, 2, 1, 1, 1, 2, 3, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 5, 2, 1, 2, 2, 1, 2, 5, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 5, 5, 1, 2, 1, 7, 2, 1, 1, 9, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 2, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 5, 5, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 5, 5, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 1, 2, 3, 0, 2, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 5, 0, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 2, 2, 1, 1, 1, 1, 2, 7, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 2, 1, 1, 0, 7, 1, 2, 2, 2 ]
[ 465, 5741, 203, 1070, 2919, 2208, 1188, 1930, 81, 1762, 203, 1070, 8527, 32, 1262, 32, 9331, 32, 1439, 1188, 3772, 2019, 30, 5718, 924, 203, 1070, 32400, 81, 3494, 1188, 8073, 953, 924, 203, 1070, 32400, 81, 3494, 32, 16520, 32, 3494, 1188, 22509, 953, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 11025, 1188, 2297, 2157, 203, 1070, 13197, 106, 32, 1262, 32, 11025, 7491, 32, 1286, 32, 7632, 81, 1498, 4338, 32, 3378, 1188, 22509, 19310, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 5718, 26, 1761, 2019, 711, 284, 2181, 280, 4145, 7632, 81, 314, 8419, 81, 314, 2417, 6457, 284, 3049, 280, 330, 1854, 1196, 461, 15321, 8419, 20783, 436, 1591, 556, 1829, 32751, 4564, 284, 665, 1015, 81, 8299, 26, 784, 30, 4118, 711, 291, 4118, 32, 669, 81, 2669, 26, 324, 11363, 464, 370, 324, 2125, 1057, 2157, 81, 1508, 370, 324, 3466, 1057, 464, 370, 324, 1244, 47, 2700, 30, 324, 3049, 1057, 10505, 8419, 20783, 436, 1169, 32751, 6418, 291, 829, 284, 665, 2887, 26, 784, 30, 319, 1132, 30, 1115, 2184, 711, 291, 415, 2075, 710, 464, 12132, 324, 8419, 81, 3494, 280, 428, 7632, 32, 314, 436, 8419, 328, 2297, 2157, 922, 371, 81, 7632, 81, 1036, 33317, 7662, 291, 813, 44, 324, 415, 2069, 26, 1132, 27, 333, 225, 35, 44, 400, 3636, 5718, 924, 463, 1076, 6225, 1591, 8419, 556, 769, 464, 2298, 526, 3191, 11834, 324, 1596, 44, 400, 8419, 81, 3494, 280, 428, 13018, 953, 32, 1070, 81, 800, 26, 626, 27, 436, 1638, 328, 2181, 79, 324, 2940, 8073, 953, 924, 44, 400, 3636, 5718, 924, 463, 3817, 1202, 3191, 11834, 291, 22509, 19310, 32, 371, 81, 1613, 81, 19013, 26, 7632, 81, 3494, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 3, 2, 3, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 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, 7, 7, 9, 9, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 7, 7, 8, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 7, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 6, 8, 8, 5, 5, 9, 9, 8, 8, 11, 10, 11, 9, 10, 10, 10, 14, 14, 13, 13, 13, 13, 13, 13, 12, 5, 5, 6, 6, 6, 8, 11, 12, 11, 9, 9, 10, 8, 8, 8, 10, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 7, 7, 8, 8, 8, 12, 12, 11, 11, 15, 15, 14, 15, 15, 15, 14, 15, 14, 12, 13, 13, 13, 12, 8, 8, 9, 10, 10, 9, 9, 9, 11, 13, 13, 15, 15, 15, 15, 4, 4, 8, 7, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 2, 1, 4, 5, 5, 0, 0, 6, 6, 0, 1, 2, 1, 4, 4, 1, 6, 1, 8, 8, 8, 8, 1, 10, 6, 6, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 8, 8, 2, 1, 1, 2, 8, 8, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 2, 1, 1, 7, 2, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 2, 1, 2, 2, 1, 2, 2, 1, 2, 3, 3, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 30, 1133, 30, 5237, 203, 465, 420, 36, 97, 203, 823, 2108, 25093, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 51, 81, 464, 81, 3931, 26, 784, 711, 291, 1596, 44, 324, 420, 36, 97, 32, 1832, 81, 3209, 26, 1251, 81, 998, 47, 36, 30, 1383, 81, 14344, 81, 3924, 47, 37, 27, 324, 308, 1069, 30, 12532, 30, 16154, 27, 280, 420, 36, 97, 32, 15697, 81, 3515, 463, 3931, 370, 428, 528, 330, 1859, 370, 528, 6470, 74, 874, 37, 57, 370, 528, 6470, 74, 7773, 37, 57, 370, 528, 6470, 27706, 36, 97, 32, 626, 32, 565, 81, 2388, 27789, 90, 36, 97, 32, 2868, 81, 1515, 463, 565, 41365, 528, 6470, 27706, 36, 97, 32, 626, 32, 426, 27789, 90, 36, 97, 32, 3209, 81, 426, 1026, 528, 6470, 27706, 36, 97, 32, 626, 32, 639, 27789, 90, 36, 97, 32, 371, 81, 639, 81, 2468, 1026, 528, 6470, 27706, 36, 97, 32, 626, 32, 625, 47, 39, 38, 40, 40, 40, 370, 528, 6470, 4532, 370, 6470, 6857, 370, 420, 36, 97, 32, 1809, 81, 761, 463, 1977, 33, 90, 36, 97, 32, 6857, 1425, 528, 6470, 1831, 1339, 370, 330, 1088, 32, 3931, 32, 10340, 32, 25093, 2852, 370, 528, 330, 12475, 32, 11192, 4137, 32, 1934, 4470, 10907, 25, 4511, 8834, 324, 7631, 280, 9661, 32, 1684, 26, 2521, 27, 324, 963, 280, 803, 26, 9362, 547, 850, 346, 324, 1137, 280, 803, 26, 8228, 547, 850, 346, 324, 415, 7631, 438, 1665, 44, 400, 9661, 32, 25074, 346, 400, 3636, 3268, 440, 3931, 28877, 963, 5327, 96, 9362, 3491, 96, 23, 101, 78, 96, 78, 96, 8228, 3491, 96, 23, 101, 20, 904, 308, 541, 30, 1137, 490, 324, 4348, 7631, 863, 225, 34, 44, 400, 3636, 3268, 440, 3931, 3803, 5327, 96, 9362, 3491, 96, 23, 101, 78, 96, 78, 96, 8228, 3491, 96, 23, 101, 20, 904, 308, 541, 30, 1137, 490, 291, 8295, 44, 324, 420, 36, 97, 32, 519, 282, 81, 1746, 81, 3209, 346, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 420, 36, 97, 32, 2243, 81, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 10, 10, 9, 10, 10, 10, 9, 11, 11, 11, 10, 11, 9, 9, 11, 11, 11, 11, 10, 11, 9, 6, 6, 10, 9, 9, 9, 9, 9, 8, 8, 11, 11, 10, 11, 11, 11, 10, 12, 12, 10, 11, 11, 13, 13, 11, 11, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 14, 15, 15, 15, 14, 16, 16, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 14, 15, 15, 15, 14, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 14, 15, 15, 15, 15, 15, 14, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 11, 13, 13, 11, 14, 14, 13, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 11, 11, 13, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 6, 6, 8, 8, 10, 11, 10, 11, 10, 6, 6, 8, 8, 12, 13, 12, 11, 10, 6, 6, 8, 8, 12, 13, 12, 11, 10, 6, 6, 7, 8, 8, 7, 7, 7, 11, 12, 11, 8, 8, 9, 11, 14, 14, 14, 14, 15, 14, 14, 15, 14, 14, 15, 15, 15, 15, 14, 14, 15, 14, 14, 14, 12, 12, 14, 13, 13, 13, 7, 7, 8, 9, 9, 10, 8, 8, 8, 10, 12, 15, 15, 15, 16, 15, 15, 16, 15, 15, 16, 16, 16, 16, 15, 15, 16, 15, 15, 15, 13, 13, 15, 14, 14, 14, 5, 5, 6, 6, 6, 11, 11, 10, 11, 11, 11, 11, 11, 11, 10, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 6, 6, 5, 6, 6, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 3, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 3, 1, 2, 3, 3, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 3, 1, 2, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 5, 1, 1, 5, 5, 5, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 2, 5, 5, 4, 1, 1, 2, 4, 4, 4, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 3, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 281, 5123, 1188, 15820, 203, 465, 24297, 619, 24297, 81, 1647, 203, 465, 316, 203, 465, 1133, 203, 465, 3738, 203, 465, 11171, 203, 1070, 281, 652, 2338, 1188, 44524, 203, 589, 5889, 81, 1286, 26, 1986, 711, 284, 13675, 280, 34873, 2524, 26, 1094, 436, 1623, 328, 1789, 32, 1731, 81, 1286, 1157, 284, 415, 827, 26, 5265, 27, 610, 15390, 44, 291, 13675, 280, 13675, 32, 4434, 26, 1986, 32, 8644, 27, 284, 442, 13675, 203, 823, 18475, 26, 1473, 711, 284, 49098, 280, 2149, 284, 665, 1156, 1664, 3207, 784, 30, 13531, 81, 800, 711, 291, 630, 32, 7413, 81, 8239, 280, 630, 32, 2208, 26, 7413, 81, 800, 27, 284, 665, 3185, 26, 784, 30, 13531, 81, 800, 711, 291, 4442, 280, 1605, 291, 436, 1623, 328, 31394, 22383, 922, 30066, 26, 7413, 81, 800, 711, 324, 415, 646, 1623, 44, 400, 1626, 324, 415, 1623, 77, 34, 79, 610, 313, 1126, 563, 400, 4442, 32, 1689, 1162, 784, 32, 46499, 77, 1094, 77, 35, 6137, 1605, 490, 324, 4348, 1623, 77, 34, 79, 610, 313, 2669, 563, 400, 4442, 6448, 35, 1674, 35, 997, 1689, 26, 1094, 77, 35, 1130, 291, 442, 4442, 284, 665, 1156, 1851, 3207, 784, 30, 1326, 30, 1789, 711, 291, 436, 3420, 30, 2181, 328, 630, 32, 7413, 81, 8239, 44, 324, 1789, 280, 3420, 26, 1357, 30, 1789, 30, 319, 1132, 27, 291, 442, 1789, 203, 823, 31394, 22383, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 1293, 280, 1665, 284, 665, 47223, 26, 784, 30, 802, 711, 291, 630, 32, 800, 280, 802, 291, 630, 32, 1293, 280, 630, 32, 1298, 81, 426, 81, 1293, 291, 630, 1114, 1055, 280, 225, 34, 291, 2218, 630, 32, 1293, 44, 324, 6761, 630, 32, 1293, 346, 291, 6761, 1665, 284, 665, 622, 81, 1594, 26, 784, 711, 291, 415, 630, 1114, 1055, 2377, 2069, 26, 784, 32, 800, 711, 324, 442, 1665, 291, 13675, 280, 630, 32, 800, 77, 784, 1114, 1055, 79, 291, 630, 1114, 1055, 1454, 225, 35, 291, 442, 13675, 284, 665, 3420, 81, 426, 81, 1293, 26, 784, 711, 291, 13675, 280, 3330, 291, 2218, 2933, 44, 324, 1351, 280, 630, 32, 371, 81, 1594, 346, 324, 415, 1351, 438, 1665, 44, 400, 630, 32, 1293, 280, 1665, 400, 415, 13675, 44, 528, 442, 2884, 1126, 392, 13675, 27, 400, 813, 44, 528, 442, 1665, 324, 4348, 1351, 610, 313, 17919, 400, 630, 32, 1293, 280, 630, 32, 2669, 81, 1293, 400, 442, 2884, 1126, 392, 13675, 27, 324, 4348, 1351, 610, 29425, 563, 400, 415, 13675, 44, 528, 442, 2884, 1126, 392, 13675, 27, 324, 813, 44, 400, 13675, 1454, 1351, 284, 665, 2793, 81, 1293, 26, 784, 711, 291, 13675, 280, 3330, 291, 2218, 2933, 44, 324, 1351, 280, 630, 32, 371, 81, 1594, 346, 324, 415, 1351, 438, 1665, 44, 400, 630, 32, 1293, 280, 1665, 400, 442, 2884, 2669, 392, 13675, 27, 324, 4348, 1351, 610, 18474, 563, 400, 13675, 1454, 630, 32, 371, 81, 11731, 346, 400 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 6, 7, 6, 7, 7, 7, 9, 10, 10, 10, 9, 2, 2, 3, 6, 7, 6, 4, 4, 3, 3, 3, 6, 6, 8, 9, 8, 10, 9, 10, 8, 2, 2, 3, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 8, 9, 9, 9, 8, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 4, 4, 5, 5, 5, 9, 9, 8, 7, 8, 8, 8, 7, 5, 5, 7, 8, 7, 7, 7, 6, 6, 7, 9, 10, 9, 8, 8, 10, 10, 7, 7, 11, 12, 11, 15, 14, 15, 13, 15, 14, 15, 14, 12, 12, 7, 7, 8, 10, 11, 10, 9, 9, 11, 11, 8, 8, 14, 16, 14, 14, 13, 13, 12, 14, 13, 14, 13, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 6, 7, 7, 7, 5, 5, 5, 8, 8, 10, 11, 10, 10, 10, 10, 12, 10, 4, 4, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 7, 4, 4, 5, 6, 7, 5, 5, 5, 8, 10, 11, 10, 4, 4, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 8, 10, 9, 10, 8, 5, 5, 7, 4, 4, 6, 6, 8, 9, 7, 9, 8, 9, 7, 4, 4, 7, 8, 6, 6, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 5, 5, 5, 8, 8, 10, 11, 11, 11, 10, 6, 6, 7, 8, 8, 7, 7, 7, 11, 12, 10, 10, 8, 8, 9, 9, 9, 9, 11, 14, 14, 12, 12, 9, 9, 10, 10, 10, 12, 7, 7, 8, 9, 9, 11, 8, 8, 12, 13, 11, 11, 12, 13, 13, 13, 9, 9, 10, 13, 13, 11, 11, 7, 7, 8, 9, 9, 11, 8, 8, 10, 10, 10, 10, 12, 15, 15, 13, 13, 7, 7, 8, 8, 8, 11, 11, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 5, 5, 5, 8, 8, 10, 11, 11, 11, 10, 6, 6, 7, 8, 8, 7, 7, 7, 11, 12, 10, 10, 8, 8, 9, 12, 12, 10, 10, 7, 7, 8, 9, 9, 11, 8, 8, 11, 11, 13, 14, 14, 14, 13, 9 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 6, 6, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 0, 8, 8, 2, 1, 2, 8, 8, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 5, 5, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 4, 0, 2, 0, 1, 1, 1, 2, 4, 4, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 4, 4, 3, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 0, 1, 1, 0, 0, 3, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 3, 1, 2, 3, 3, 3, 0, 0, 2, 1, 4, 4, 0, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 3, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 4, 4, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 3, 3, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 4, 4, 4, 0, 1, 1, 4, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 3, 3, 1, 1, 2, 1, 1, 1, 1, 5, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 6, 6, 6, 0, 0, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 4, 4, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 3, 3, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 3 ]
[ 1270, 44, 284, 645, 1913, 32, 1580, 1188, 24859, 2798, 203, 7343, 29986, 44, 284, 645, 1913, 1356, 1188, 24859, 2798, 203, 1070, 5741, 1188, 622, 3703, 203, 1070, 310, 5390, 95, 1188, 310, 5390, 95, 203, 1070, 22045, 37, 1188, 24859, 2798, 4198, 203, 751, 280, 622, 3703, 4064, 426, 8223, 203, 823, 47146, 63, 2798, 4198, 26, 30403, 2798, 4198, 711, 284, 12841, 280, 330, 641, 25, 284, 665, 1156, 1664, 3207, 784, 30, 1256, 30, 21959, 30, 3796, 965, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 4734, 21062, 2798, 4198, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 32, 2393, 965, 280, 3796, 965, 291, 630, 32, 1294, 496, 280, 1256, 291, 1256, 81, 10031, 280, 1256, 32, 2998, 40348, 370, 225, 35, 27, 291, 630, 32, 4116, 280, 1256, 81, 10031, 77, 34, 997, 7607, 346, 291, 630, 32, 496, 280, 1256, 81, 10031, 77, 35, 79, 291, 630, 32, 9734, 280, 21959, 284, 665, 617, 890, 81, 3781, 26, 784, 711, 291, 630, 32, 1516, 81, 16717, 1454, 225, 35, 291, 1245, 32, 2811, 463, 15624, 47146, 63, 24859, 3387, 1289, 32, 904, 86, 44, 1678, 555, 23, 101, 23, 101, 25, 904, 1750, 308, 784, 32, 1516, 81, 16717, 30, 630, 32, 2035, 30, 630, 32, 2393, 965, 490, 291, 4826, 280, 2149, 291, 4826, 710, 2798, 785, 280, 330, 16651, 31, 18916, 25, 291, 3616, 81, 2111, 280, 330, 8466, 25, 291, 5127, 81, 2111, 280, 330, 1499, 31, 22053, 25, 291, 4567, 280, 24859, 2798, 26, 2035, 47, 784, 32, 2035, 30, 2601, 47, 784, 32, 625, 27, 291, 4826, 77, 2403, 81, 2111, 79, 280, 308, 324, 330, 4734, 21062, 904, 101, 25, 904, 310, 5390, 95, 32, 1297, 81, 4734, 21062, 81, 25531, 1194, 59, 1757, 81, 9572, 26, 784, 32, 1294, 496, 490, 291, 1245, 32, 2811, 463, 1104, 4826, 44, 904, 101, 25, 904, 4826, 27, 291, 4567, 32, 1357, 463, 2788, 370, 630, 32, 2393, 965, 30, 1665, 30, 4826, 27, 291, 736, 280, 4567, 32, 371, 1986, 346, 291, 316, 615, 3513, 280, 5436, 26, 575, 32, 371, 5078, 1157, 291, 1245, 32, 2811, 463, 1397, 2287, 44, 904, 101, 904, 101, 25, 904, 308, 575, 32, 1517, 30, 736, 32, 10354, 490, 291, 1245, 32, 2811, 463, 1397, 4826, 44, 904, 101, 25, 904, 316, 615, 3513, 27, 291, 1245, 32, 2811, 463, 1397, 706, 44, 904, 101, 18654, 18262, 904, 736, 32, 850, 26, 35, 34, 34, 490, 291, 736, 32, 4426, 280, 1665, 291, 3796, 81, 2111, 81, 2810, 280, 316, 615, 3513, 77, 5243, 81, 2111, 997, 2998, 12573, 11134, 291, 3796, 81, 2111, 81, 853, 280, 1665, 291, 436, 309, 328, 3796, 81, 2111, 81, 2810, 44, 324, 415, 309, 2867, 39, 79, 610, 330, 4734, 21062, 14589, 400, 3796, 81, 2111, 81, 853, 280, 309, 77, 39, 10056, 291, 415, 3796, 81, 2111, 81, 853, 438, 1665, 44, 324, 3636, 3268, 463, 10203, 904, 101, 1789, 3338, 44, 904, 101, 25, 904, 1014, 308, 5243 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 4, 5, 3, 3, 5, 1, 2, 2, 2, 2, 2, 4, 6, 4, 4, 6, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 8, 9, 8, 4, 4, 7, 8, 6, 6, 10, 10, 9, 10, 9, 9, 8, 4, 4, 7, 8, 6, 6, 8, 8, 7, 8, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 11, 10, 11, 11, 11, 9, 9, 10, 11, 9, 9, 10, 11, 11, 9, 4, 4, 6, 6, 4, 4, 7, 9, 9, 6, 6, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 4, 4, 6, 6, 8, 8, 10, 9, 11, 10, 11, 8, 8, 9, 11, 10, 11, 8, 4, 4, 7, 8, 8, 8, 7, 6, 6, 7, 7, 10, 10, 10, 10, 10, 8, 8, 11, 11, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 12, 11, 12, 12, 10, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 7, 8, 9, 9, 7, 7, 7, 7, 7, 4, 4, 6, 6, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 11, 10, 11, 11, 10, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 11, 10, 11, 9, 9, 10, 11, 9, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 11, 10, 11, 11, 11, 10, 4, 4, 7, 8, 6, 6, 4, 4, 7, 7, 7, 7, 6, 6, 10, 10, 9, 10, 10, 10, 9, 9, 8, 10, 4, 4, 7, 7, 7, 7, 6, 6, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 7, 9, 11, 9, 8, 8, 10, 10, 10, 7, 7, 11, 11, 11, 11, 10, 10, 11, 13, 12, 4, 4, 5, 7, 7, 7, 7, 6, 6, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 12 ]
[ 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 5, 5, 1, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 2, 1, 3, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 4, 4, 0, 0, 4, 4, 0, 1, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 3, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 18, 18, 18, 3, 3, 3, 3, 18, 18, 18, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 4, 4, 19, 0, 0, 0, 0, 1, 1, 19, 19, 19, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1 ]
[ 465, 322, 7221, 203, 465, 322, 7221, 32, 6800, 619, 394, 203, 465, 6436, 619, 2065, 203, 465, 12500, 32, 17449, 619, 5743, 203, 6073, 32, 285, 346, 203, 465, 2454, 203, 106, 81, 3239, 30, 273, 81, 3239, 30, 816, 81, 858, 30, 273, 81, 858, 280, 2454, 32, 40368, 282, 35, 34, 26, 12010, 47, 1382, 7221, 32, 1163, 32, 1808, 74, 27, 203, 5919, 81, 858, 280, 2065, 32, 29957, 26, 102, 81, 858, 30, 6013, 47, 35, 27, 203, 6073, 32, 23026, 26, 106, 81, 3239, 77, 34, 997, 12091, 26, 37, 36, 30, 225, 37, 36, 471, 26685, 47, 6073, 32, 4072, 32, 8387, 27, 203, 106, 280, 394, 32, 4873, 346, 203, 102, 280, 394, 32, 4873, 346, 203, 589, 1897, 74, 26, 106, 711, 284, 442, 2065, 32, 26742, 26, 106, 30, 9710, 47, 1382, 7221, 32, 1163, 32, 1808, 74, 27, 203, 589, 3219, 81, 9582, 26, 3229, 711, 284, 442, 322, 7221, 32, 4190, 26, 1808, 74, 26, 2356, 32, 3855, 32, 39385, 2740, 3229, 27, 319, 225, 34, 32, 35, 490, 203, 589, 1542, 26, 106, 30, 341, 711, 284, 442, 394, 32, 96, 1299, 32, 28560, 26, 70, 32, 4260, 26, 106, 30, 341, 490, 203, 105, 280, 3219, 81, 9582, 1162, 37, 36, 319, 225, 37, 36, 30, 225, 35, 34, 490, 203, 98, 81, 107, 81, 15813, 81, 106, 280, 1542, 26, 106, 30, 341, 27, 203, 107, 280, 394, 32, 29957, 26, 98, 81, 107, 81, 15813, 81, 106, 30, 6013, 47, 35, 27, 203, 8030, 280, 394, 32, 6009, 26, 70, 32, 96, 1299, 32, 30199, 81, 10495, 20933, 26, 98, 81, 107, 81, 15813, 81, 106, 30, 273, 490, 203, 89, 280, 394, 32, 4943, 26, 8030, 30, 341, 27, 203, 12525, 280, 10440, 105, 30, 341, 429, 485, 319, 225, 34, 32, 34, 34, 35, 2177, 203, 3239, 280, 322, 7221, 32, 1126, 2009, 106, 30, 273, 614, 7847, 30, 7775, 47, 12525, 27, 203, 9356, 280, 322, 7221, 32, 1126, 2009, 106, 614, 533, 27, 203, 4432, 81, 891, 280, 225, 39, 34, 203, 979, 595, 328, 2155, 26, 35, 34, 34, 711, 284, 1459, 313, 19869, 904, 86, 20, 904, 308, 91, 474, 225, 35, 27, 284, 436, 1477, 328, 2155, 26, 34, 30, 2069, 26, 106, 81, 3239, 471, 5254, 81, 891, 711, 291, 816, 81, 4432, 280, 816, 81, 3239, 77, 1366, 44, 1366, 474, 5254, 81, 891, 79, 291, 273, 81, 4432, 280, 273, 81, 3239, 77, 1366, 44, 1366, 474, 5254, 81, 891, 79, 291, 7847, 280, 5683, 26, 106, 81, 4432, 30, 273, 81, 4432, 27, 284, 18679, 81, 858, 280, 10618, 26, 106, 81, 858, 27, 284, 14222, 280, 2065, 32, 6009, 26, 20283, 81, 858, 610, 6492, 81, 858, 27, 284, 1459, 313, 15924, 44, 16125, 39, 88, 20, 904, 14222, 284, 1459, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 3, 4, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 4, 3, 4, 3, 0, 1, 1, 0, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 2, 2, 4, 5, 5, 5, 5, 4, 6, 5, 8, 8, 7, 8, 6, 7, 7, 4, 0, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 5, 4, 4, 5, 6, 4, 0, 4, 3, 4, 3, 7, 7, 7, 6, 7, 6, 6, 5, 6, 6, 5, 5, 6, 6, 5, 3, 4, 7, 6, 7, 5, 6, 3, 0, 3, 2, 2, 4, 5, 4, 0, 3, 2, 2, 4, 5, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 6, 5, 5, 6, 9, 9, 8, 9, 7, 8, 8, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 6, 5, 6, 5, 7, 7, 7, 12, 11, 12, 10, 11, 10, 12, 10, 8, 8, 9, 9, 9, 7, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 3, 6, 7, 7, 5, 6, 5, 8, 7, 8, 7, 8, 7, 7, 7, 0, 3, 2, 2, 4, 4, 4, 7, 7, 6, 6, 7, 7, 5, 5, 6, 6, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 4, 0, 3, 2, 2, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 4, 0, 3, 2, 2, 4, 5, 4, 8, 7, 8, 8, 6, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 0, 3, 2, 2, 4, 5, 4, 5, 4, 4, 4, 0, 3, 2, 2, 5, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 4, 0, 3, 2, 2, 5, 4, 5, 4, 6, 5, 5, 5, 4, 4, 4, 5, 6, 4, 0, 3, 2, 2, 5, 4, 5, 4, 6, 5, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 0, 1, 1, 1, 1, 3, 4, 4, 4, 3, 1, 1, 3, 6, 6, 6, 6, 4, 4, 7, 6, 6, 7, 5, 2, 2, 3, 3, 3, 5, 6, 5, 5, 7, 8, 8, 8, 7, 5, 6, 6, 5, 3, 3, 7, 7, 6, 6, 8, 8, 7, 9, 8, 10, 9, 9, 10, 10, 7, 4, 4, 7, 7, 6, 6, 8, 8, 7, 9, 8, 10, 9, 9, 10, 10, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 8, 9, 9, 8, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 7, 8, 8, 6, 2, 2, 3, 6, 6, 6, 6, 6, 6, 4, 4, 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 ]
[ 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 6, 6, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 11, 11, 1, 2, 1, 2, 11, 11, 0, 0, 2, 1, 1, 1, 1, 3, 0, 0, 0, 2, 2, 2, 2, 1, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 13, 13, 2, 1, 2, 2, 2, 13, 13, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 23, 23, 23, 23, 1, 1, 1, 1, 1, 23, 23, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 5, 5, 4, 1, 1, 1, 1, 1, 2, 1, 1, 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 ]
[ 1070, 8527, 32, 12023, 1188, 5605, 203, 1070, 8527, 32, 12023, 32, 1286, 2516, 32, 3378, 1188, 38718, 203, 1070, 15233, 2609, 32, 3378, 1188, 308, 284, 44990, 18797, 30, 30782, 30, 30782, 35781, 30, 44990, 18797, 1811, 203, 27, 203, 823, 44990, 18797, 1811, 10144, 26, 2300, 32, 3999, 1900, 10144, 711, 284, 1542, 280, 44990, 18797, 1811, 284, 665, 622, 81, 599, 470, 26, 784, 30, 1326, 30, 2830, 47, 2521, 30, 1115, 5321, 711, 291, 630, 32, 2544, 81, 2067, 280, 2830, 291, 442, 2599, 26, 35781, 1811, 10144, 30, 630, 547, 371, 81, 599, 470, 26, 1357, 30, 2830, 30, 1115, 5321, 27, 284, 665, 2234, 1495, 81, 979, 81, 13615, 678, 26, 784, 30, 3082, 81, 1495, 30, 1326, 30, 1115, 5321, 711, 291, 415, 630, 32, 2544, 81, 2067, 44, 324, 2935, 81, 288, 280, 38718, 32, 5740, 32, 371, 81, 979, 81, 1160, 26, 784, 32, 2544, 81, 2067, 3667, 823, 8223, 324, 15233, 81, 288, 280, 38718, 32, 5740, 32, 371, 81, 979, 81, 1160, 26, 16275, 27, 324, 415, 2935, 81, 288, 610, 15233, 81, 288, 44, 400, 415, 3082, 81, 1495, 32, 426, 610, 330, 45643, 950, 528, 10306, 710, 37741, 785, 280, 30782, 35781, 32, 5740, 32, 464, 922, 10444, 26, 1286, 81, 681, 47, 13346, 81, 288, 30, 1300, 81, 314, 47, 784, 32, 2544, 81, 2067, 32, 314, 27, 291, 442, 2599, 26, 35781, 1811, 10144, 30, 630, 547, 599, 1495, 81, 979, 81, 13615, 678, 26, 1199, 81, 1495, 30, 1326, 30, 1115, 5321, 27, 203, 823, 30782, 4191, 26, 2300, 32, 1243, 4191, 711, 284, 328, 4446, 280, 308, 35781, 1811, 10144, 21713, 203, 2300, 32, 2851, 32, 3317, 26, 35781, 27, 203, 2300, 32, 2851, 32, 3317, 26, 16275, 30, 30782, 4191, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 4, 4, 5, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 5, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 8, 7, 7, 7, 7, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 6, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 9, 9, 8, 8, 11, 12, 10, 11, 11, 11, 11, 11, 10, 13, 12, 13, 13, 13, 11, 12, 12, 6, 6, 9, 9, 8, 8, 11, 12, 10, 11, 11, 11, 11, 11, 10, 11, 10, 6, 6, 7, 9, 9, 8, 8, 9, 9, 7, 7, 7, 9, 12, 12, 11, 12, 10, 10, 12, 12, 9, 9, 13, 15, 15, 12, 12, 18, 17, 18, 16, 17, 16, 15, 14, 16, 16, 16, 15, 16, 16, 16, 14, 14, 16, 16, 15, 18, 17, 18, 18, 18, 16, 17, 14, 4, 4, 5, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 7, 7, 9, 7, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 5, 0, 5, 4, 5, 3, 4, 3, 4, 3, 0, 5, 4, 5, 3, 4, 3, 4, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 1, 6, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 3, 3, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 3, 3, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 1, 2, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 589, 622, 81, 9569, 81, 589, 81, 1170, 81, 678, 26, 2859, 81, 2255, 81, 589, 30, 8191, 81, 589, 81, 678, 711, 334, 415, 8191, 81, 589, 81, 678, 646, 328, 6089, 81, 2255, 81, 589, 32, 9569, 81, 589, 44, 284, 3636, 10091, 440, 2023, 19789, 1350, 623, 1202, 6611, 101, 25, 2431, 328, 11985, 3406, 1350, 3107, 904, 3486, 8191, 81, 589, 81, 678, 27, 334, 442, 6089, 81, 2255, 81, 589, 32, 9569, 81, 589, 77, 9569, 81, 589, 81, 678, 79, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 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, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 5, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 5, 6, 6, 6, 3, 3, 3, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 9, 9, 9, 9, 7, 2, 2, 3, 6, 6, 6, 6, 5, 6, 6, 6, 4, 5, 5, 5, 5, 5, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 4, 4, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 3378, 1188, 13957, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 622, 81, 1423, 81, 4254, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 595, 344, 81, 452, 81, 3423, 30, 4262, 81, 36, 81, 9941, 81, 14600, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 50, 2958, 81, 36, 81, 9941, 81, 14600, 203, 823, 22901, 1969, 26, 3378, 32, 1243, 711, 284, 1984, 280, 4549, 32, 16357, 2176, 463, 2413, 1425, 1769, 81, 1322, 47, 35, 34, 34, 30, 3082, 81, 1055, 47, 1815, 27, 284, 1780, 280, 4549, 32, 16357, 2176, 463, 1311, 1425, 1769, 81, 1322, 47, 36, 34, 34, 27, 284, 1795, 280, 4549, 32, 10215, 2176, 463, 1286, 1425, 11771, 47, 1815, 27, 284, 5352, 81, 8680, 280, 4549, 32, 39471, 2176, 463, 4898, 8446, 1425, 1244, 47, 2700, 27, 284, 3079, 81, 426, 280, 4549, 32, 16357, 2176, 463, 2387, 636, 1425, 1769, 81, 1322, 47, 41, 34, 30, 11771, 47, 1815, 30, 291, 3049, 81, 878, 47, 5908, 324, 313, 5297, 44, 330, 6849, 5646, 33, 5546, 81, 1637, 32, 916, 2473, 1670, 458, 7735, 1330, 3943, 30, 313, 324, 313, 1382, 2664, 1098, 793, 330, 6849, 5646, 33, 1536, 32, 916, 2473, 20, 291, 2588, 284, 829, 284, 14539, 81, 3648, 280, 4549, 32, 39471, 2176, 463, 15265, 2129, 1425, 291, 3049, 81, 878, 11645, 440, 2797, 458, 438, 8137, 30, 1755, 12946, 31, 266, 4250, 1098, 526, 5300, 372, 2202, 322, 1938, 26551, 291, 1244, 47, 2700, 27, 284, 17289, 280, 4549, 32, 46046, 1176, 26, 7294, 30, 9541, 81, 426, 11645, 463, 12095, 2847, 284, 443, 11985, 44, 291, 3082, 81, 1274, 280, 330, 11025, 81, 6849, 1637, 25, 291, 9541, 81, 426, 280, 30121, 6849, 1938, 683, 291, 9541, 81, 426, 81, 25857, 280, 30121, 6849, 7853, 683, 291, 19404, 280, 2726, 965, 370, 27, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 5461, 101, 769, 904, 101, 20, 904, 308, 784, 32, 965, 30, 630, 32, 1311, 27, 284, 665, 622, 81, 11148, 81, 965, 26, 784, 711, 291, 442, 595, 344, 81, 452, 81, 3423, 26, 371, 81, 1423, 81, 4254, 922, 38848, 24667, 474, 630, 32, 965, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 2, 3, 3, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 5, 4, 5, 3, 2, 2, 5, 5, 7, 8, 7, 9, 11, 11, 7, 9, 9, 8, 9, 9, 9, 7, 7, 9, 9, 8, 9, 7, 3, 3, 5, 5, 7, 8, 7, 9, 11, 11, 7, 9, 9, 8, 9, 9, 9, 7, 3, 3, 5, 5, 7, 8, 7, 9, 11, 11, 7, 8, 9, 7, 3, 3, 6, 6, 5, 5, 7, 8, 7, 9, 11, 11, 11, 7, 8, 9, 7, 3, 3, 6, 6, 5, 5, 7, 8, 7, 9, 11, 11, 11, 7, 9, 9, 8, 9, 9, 7, 7, 8, 9, 7, 7, 7, 9, 9, 8, 10, 10, 10, 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, 10, 10, 7, 7, 3, 3, 6, 6, 5, 5, 7, 8, 7, 9, 11, 11, 11, 7, 7, 9, 9, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 7, 7, 8, 9, 7, 3, 3, 5, 5, 7, 8, 8, 7, 8, 7, 7, 9, 9, 8, 10, 12, 12, 3, 3, 4, 4, 4, 4, 8, 8, 7, 7, 9, 9, 9, 9, 9, 5, 5, 8, 8, 7, 7, 11, 11, 11, 5, 5, 8, 8, 8, 8, 7, 7, 11, 11, 11, 5, 5, 7, 7, 10, 10, 8, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 9, 9, 9, 9, 9, 7, 7, 10, 9, 10, 8, 8, 9, 10, 8, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 8, 8, 8, 8, 8, 8, 13, 13, 13, 13, 13, 13, 12, 11, 9, 9, 10, 11, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 1, 0, 0, 5, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 1, 1, 5, 2, 1, 1, 1, 0, 0, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 3, 1, 1, 2, 4, 4, 7, 7, 7, 7, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 0, 0, 1, 2, 2, 4, 4, 8, 1, 1, 1, 2, 8, 8, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 4, 4, 9, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 638, 1647, 81, 7390, 1188, 7703, 3373, 203, 1070, 638, 1204, 81, 681, 1188, 6116, 620, 203, 823, 36499, 26, 2459, 3373, 711, 284, 477, 2433, 284, 665, 636, 26, 784, 711, 291, 442, 330, 17838, 25, 284, 477, 2433, 284, 665, 26910, 81, 1204, 81, 681, 26, 784, 711, 291, 442, 6116, 620, 32, 16477, 2893, 32776, 284, 477, 2433, 284, 665, 26910, 81, 1204, 81, 426, 26, 784, 711, 291, 442, 330, 13842, 25, 284, 477, 2433, 284, 665, 13077, 81, 1204, 81, 681, 26, 784, 711, 291, 442, 6116, 620, 32, 16477, 2893, 32776, 284, 477, 2433, 284, 665, 13077, 81, 1204, 81, 426, 26, 784, 711, 291, 442, 330, 13842, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 4, 4, 4, 1, 1, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 8, 7, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 8, 7, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 4, 4, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 4, 4, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 314, 505, 351, 280, 3330, 203, 505, 1648, 505, 261, 280, 3330, 203, 505, 770, 505, 647, 280, 3330, 203, 505, 11794, 505, 280, 313, 10581, 308, 85, 27, 225, 36, 34, 34, 43, 516, 21018, 439, 2496, 329, 1155, 20, 203, 505, 2077, 505, 261, 280, 313, 62, 21181, 20, 203, 465, 556, 1173, 32, 6286, 619, 5218, 203, 465, 556, 1173, 32, 8121, 32, 1536, 619, 1244, 203, 465, 556, 1173, 32, 3550, 619, 4070, 203, 465, 556, 1173, 32, 21282, 619, 24903, 203, 465, 556, 1173, 32, 8856, 81, 6286, 619, 9196, 81, 6286, 203, 823, 10285, 26, 1536, 32, 3206, 711, 284, 665, 544, 36783, 26, 784, 30, 1692, 711, 291, 1596, 44, 324, 15609, 472, 280, 1692, 32, 1855, 32, 1217, 882, 346, 324, 786, 280, 629, 26, 387, 472, 32, 1700, 882, 27, 291, 2940, 22210, 44, 324, 786, 280, 429, 35, 291, 415, 786, 2377, 225, 34, 44, 324, 24903, 32, 30353, 26, 466, 26, 853, 471, 1665, 30, 2933, 27, 324, 630, 32, 2751, 4349, 607, 274, 1175, 4912, 101, 20, 904, 786, 30, 10000, 14011, 1043, 47, 3550, 32, 839, 607, 274, 15313, 1043, 27, 284, 665, 544, 558, 3650, 26, 784, 30, 1692, 711, 291, 1596, 44, 324, 15609, 472, 280, 1692, 32, 1855, 32, 1217, 882, 346, 324, 786, 280, 15609, 472, 32, 1700, 882, 291, 2940, 22210, 44, 324, 786, 280, 429, 35, 291, 46879, 3151, 280, 1605, 291, 1474, 280, 3330, 291, 415, 786, 333, 225, 34, 44, 324, 46879, 3151, 32, 1689, 26, 6286, 32, 29785, 27, 324, 46879, 3151, 32, 1689, 26, 784, 32, 22668, 32, 371, 26, 3550, 32, 12882, 81, 39867, 490, 324, 1474, 280, 6611, 101, 904, 101, 25, 904, 308, 1567, 32, 1855, 32, 426, 30, 1692, 32, 1855, 32, 2310, 27, 324, 46879, 3151, 32, 1689, 26, 1436, 27, 324, 46879, 3151, 32, 1689, 26, 784, 32, 22668, 32, 371, 26, 3550, 32, 5807, 81, 39867, 490, 291, 813, 44, 324, 1474, 280, 6611, 101, 904, 86, 25, 904, 308, 1567, 32, 1855, 32, 426, 30, 786, 27, 324, 46879, 3151, 32, 1689, 26, 1436, 27, 324, 46879, 3151, 32, 1689, 26, 784, 32, 22668, 32, 371, 26, 3550, 32, 12882, 81, 39867, 490, 291, 24903, 32, 30353, 26, 4667, 3151, 30, 1665, 30, 2933, 27, 291, 630, 32, 2751, 4349, 607, 274, 1175, 26, 1436, 30, 14011, 1043, 47, 3550, 32, 839, 607, 274, 15313, 1043, 27, 291, 9196, 81, 6286, 32, 2853, 1175, 26, 1436, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 2, 2, 2, 0, 3, 3, 3, 2, 2, 2, 0, 3, 3, 3, 2, 2, 2, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 2, 4, 4, 4, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 4, 3, 4, 3, 4, 2, 2, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 9, 8, 8, 11, 12, 10, 11, 11, 10, 6, 6, 8, 8, 10, 12, 12, 11, 12, 12, 10, 5, 5, 6, 6, 6, 6, 9, 9, 11, 4, 4, 5, 6, 6, 7, 5, 5, 5, 9, 10, 9, 11, 11, 12, 11, 9, 9, 9, 9, 6, 6, 9, 10, 10, 10, 10, 10, 9, 12, 12, 10, 10, 9, 9, 9, 11, 10, 12, 11, 12, 12, 12, 12, 12, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 9, 8, 8, 11, 12, 10, 11, 11, 10, 6, 6, 8, 8, 10, 9, 10, 10, 5, 5, 6, 6, 6, 6, 9, 9, 11, 4, 4, 7, 6, 6, 4, 4, 6, 6, 4, 4, 5, 6, 6, 7, 5, 5, 5, 10, 9, 10, 9, 11, 10, 11, 9, 6, 6, 10, 9, 10, 9, 13, 12, 13, 11, 12, 11, 13, 12, 13, 13, 13, 11, 6, 6, 8, 8, 11, 11, 11, 11, 9, 9, 13, 12, 13, 11, 12, 10, 10, 12, 13, 11, 12, 10, 6, 6, 10, 9, 10, 9, 10, 9, 6, 6, 10, 9, 10, 9, 13, 12, 13, 11, 12, 11, 13, 12, 13, 13, 13, 11, 5, 5, 6, 6, 6, 9, 9, 12, 12, 12, 12, 10, 10, 14, 13, 14, 12, 13, 11, 11, 11, 7, 7, 11, 10, 11, 10, 11, 10, 7, 7, 11, 10, 11, 10, 14, 13, 14, 12, 13, 12, 14, 13, 14, 14, 14, 12, 4, 4, 7, 8, 7, 8, 8, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 7, 7, 9, 8, 10, 9, 10, 10, 10, 10, 10, 7, 4, 4, 8, 8, 7, 8, 8, 7, 8, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 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, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 5, 5, 0, 0, 2, 1, 1, 0, 6, 6, 0, 0, 2, 0, 4, 1, 1, 0, 7, 7, 0, 0, 2, 1, 1, 0, 8, 8, 0, 0, 2, 1, 1, 0, 9, 9, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 10, 10, 2, 0, 1, 2, 2, 10, 10, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 3, 3, 3, 3, 0, 0, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 3, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 1, 4, 4, 0, 0, 0, 4, 4, 0, 0, 4, 4, 3, 1, 1, 2, 3, 3, 3, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 3, 2, 2, 3, 3, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 4, 4, 4, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 3, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 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 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 5741, 203, 465, 281, 5123, 203, 1070, 13625, 1188, 636, 41766, 203, 465, 31074, 203, 465, 5237, 203, 465, 2322, 203, 465, 316, 203, 465, 18346, 2516, 203, 465, 45301, 983, 203, 465, 11685, 203, 1070, 10773, 1114, 7980, 32, 25931, 32, 21332, 32, 39362, 1188, 3185, 619, 22045, 81, 2208, 203, 1070, 10773, 1114, 7980, 32, 25931, 32, 21332, 32, 39362, 1188, 1326, 619, 22045, 81, 1357, 203, 1070, 10773, 32, 8524, 1188, 4749, 2468, 203, 1070, 10773, 32, 2304, 1188, 308, 284, 10814, 81, 2433, 30, 6122, 407, 30, 13316, 81, 983, 30, 284, 44847, 5751, 81, 19814, 69, 30, 47729, 1345, 81, 19814, 69, 30, 203, 27, 203, 1070, 10773, 32, 2304, 32, 44136, 1188, 26396, 383, 42197, 35, 34, 5711, 203, 1070, 10773, 32, 2304, 32, 7490, 1188, 10525, 81, 751, 203, 1070, 10773, 32, 2304, 32, 36612, 1188, 1505, 81, 13966, 81, 2958, 203, 1070, 10773, 32, 11452, 1188, 308, 284, 26246, 5965, 30, 22803, 2062, 16379, 23329, 30, 8073, 19834, 10239, 30, 284, 18094, 19834, 30, 203, 27, 203, 1070, 10773, 32, 4984, 1188, 35890, 81, 15174, 30, 438, 81, 965, 30, 1519, 81, 452, 81, 965, 30, 1984, 81, 452, 81, 983, 203, 1070, 10773, 32, 15668, 1188, 624, 8568, 30, 19461, 81, 407, 203, 1070, 10773, 32, 24945, 38, 36, 39, 3963, 1188, 622, 81, 7095, 203, 1070, 10773, 1114, 7980, 1188, 4159, 39, 1356, 30, 5167, 30, 18792, 203, 1070, 10773, 1114, 7980, 32, 36612, 32, 1648, 1188, 3185, 619, 3185, 81, 1648, 203, 1070, 10773, 1114, 7980, 32, 36612, 32, 2304, 1188, 21982, 518, 81, 426, 203, 1070, 10773, 1114, 7980, 32, 36612, 1188, 1374, 6667, 203, 1070, 10773, 1114, 7980, 32, 9698, 32, 11452, 1188, 18323, 43189, 203, 1070, 10773, 1114, 7980, 32, 2452, 1356, 32, 8524, 1188, 707, 11731, 203, 505, 464, 505, 280, 2107, 2207, 2422, 370, 330, 3972, 81, 7925, 81, 2956, 81, 2278, 1029, 81, 10444, 370, 330, 4045, 15882, 785, 203, 34757, 81, 758, 1434, 14008, 280, 428, 284, 2884, 641, 392, 42034, 11570, 2113, 284, 2884, 37208, 313, 5007, 392, 11570, 2113, 284, 2884, 37208, 313, 35, 36, 41, 32, 34, 32, 34, 32, 34, 33, 42, 392, 11570, 2113, 284, 2884, 37208, 32882, 35, 33, 35, 36, 42, 392, 11570, 2113, 284, 2884, 761, 392, 42034, 1665, 471, 284, 2884, 9404, 392, 42034, 11570, 2113, 203, 79, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 14444, 19445, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2074, 30, 1503, 30, 3894, 711, 291, 630, 32, 2250, 280, 2074, 291, 630, 32, 1648, 280, 3185, 81, 1648, 26, 1648, 27, 291, 630, 32, 2645, 280, 3894, 291, 630, 1114, 678, 280, 308, 784, 32, 2250, 30, 630, 32, 1648, 30, 630, 32, 2645, 27, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 3778, 21366, 19445, 1371, 34, 19, 100, 835, 301, 35, 19, 100, 835, 301, 36, 19, 100, 1748, 16654, 1643, 26, 324, 630, 32, 2250, 30, 630, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 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, 3, 2, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 4, 6, 3, 3, 6, 4, 6, 6, 4, 6, 3, 3, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 3, 3, 6, 4, 6, 6, 6, 6, 6, 6, 4, 6, 3, 3, 6, 6, 4, 4, 4, 3, 3, 6, 6, 4, 4, 6, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 7, 8, 9, 7, 7, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 0, 9, 9, 0, 0, 10, 10, 0, 11, 11, 1, 2, 1, 4, 1, 6, 1, 8, 11, 11, 3, 3, 2, 2, 0, 12, 12, 1, 2, 1, 4, 1, 6, 1, 8, 12, 12, 3, 3, 2, 2, 0, 13, 13, 1, 2, 13, 13, 0, 0, 14, 14, 1, 2, 14, 14, 14, 14, 0, 0, 14, 14, 0, 14, 14, 0, 0, 14, 14, 14, 0, 0, 0, 0, 14, 14, 0, 0, 0, 0, 14, 14, 14, 0, 15, 15, 1, 2, 1, 4, 15, 15, 0, 0, 0, 0, 0, 0, 16, 16, 1, 2, 1, 4, 16, 16, 0, 0, 0, 17, 17, 1, 2, 1, 4, 17, 17, 0, 0, 0, 0, 0, 18, 18, 1, 2, 18, 18, 18, 18, 0, 18, 18, 0, 0, 0, 18, 18, 0, 0, 18, 18, 18, 0, 18, 18, 18, 0, 19, 19, 1, 2, 19, 19, 0, 0, 19, 19, 0, 0, 19, 19, 0, 0, 0, 0, 19, 19, 0, 0, 0, 0, 0, 20, 20, 1, 2, 20, 20, 0, 20, 20, 0, 0, 0, 21, 21, 1, 2, 2, 2, 2, 2, 21, 21, 0, 0, 0, 22, 22, 1, 2, 22, 22, 0, 0, 22, 22, 22, 22, 0, 23, 23, 1, 2, 1, 4, 1, 6, 23, 23, 3, 3, 2, 2, 0, 24, 24, 1, 2, 1, 4, 1, 6, 24, 24, 0, 0, 0, 0, 25, 25, 1, 2, 1, 4, 25, 25, 0, 0, 26, 26, 1, 2, 1, 4, 1, 6, 26, 26, 0, 0, 27, 27, 1, 2, 1, 4, 4, 1, 6, 27, 27, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 3, 1, 2, 3, 2, 2, 2, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 1, 7, 1, 1, 1, 1, 1, 2, 7, 2, 2, 2, 1, 2, 9, 9, 9, 2, 2, 1, 2, 11, 11, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 31, 31, 1, 2, 1, 2, 31, 31, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 1, 2, 2, 2, 3, 2, 2, 2, 5, 2, 2, 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, 2, 1, 1, 1, 1, 2, 1, 1, 3 ]
[ 1070, 18971, 1188, 319, 203, 1070, 18971, 81, 105, 4213, 1188, 24014, 1241, 203, 1070, 18971, 81, 5172, 1188, 14882, 203, 1070, 35692, 8538, 1188, 27927, 30, 28563, 30, 4401, 1176, 30, 22881, 1176, 30, 6608, 1176, 30, 6608, 11726, 1176, 203, 1070, 7138, 1188, 7138, 203, 465, 29252, 331, 2323, 36, 203, 465, 2322, 203, 465, 22045, 32, 2208, 619, 1984, 2208, 203, 465, 16539, 203, 465, 1133, 203, 1070, 7744, 1188, 17648, 30, 35448, 203, 6124, 24741, 280, 3037, 63, 1461, 63, 1461, 70, 1461, 73, 1461, 1781, 1461, 56, 1461, 69, 1446, 203, 325, 2322, 32, 12757, 32, 371, 463, 3184, 2950, 71, 7831, 203, 202, 965, 2208, 32, 7668, 81, 1299, 881, 32, 1689, 440, 12243, 657, 203, 202, 965, 280, 1984, 2208, 32, 965, 2208, 26, 500, 32, 12757, 1365, 20528, 81, 2413, 6890, 203, 202, 3781, 280, 29252, 331, 2323, 36, 32, 3517, 26, 3269, 3500, 47, 965, 32, 983, 77, 35, 23751, 3269, 1256, 47, 965, 32, 699, 30, 3269, 3882, 47, 965, 32, 2895, 30, 3269, 3408, 47, 965, 32, 12256, 30, 3269, 2601, 47, 965, 32, 625, 203, 202, 27, 203, 1824, 44, 203, 202, 3781, 280, 29252, 331, 2323, 36, 32, 3517, 440, 32860, 47, 4603, 1256, 47, 12243, 657, 203, 725, 280, 24014, 4064, 426, 8223, 203, 725, 32, 7241, 81, 678, 280, 313, 86, 2269, 302, 8674, 3658, 13430, 5793, 6506, 9635, 1575, 104, 34, 43, 42, 36, 12693, 88, 41, 37, 36, 42, 930, 90, 20, 203, 15578, 26, 725, 27, 203, 1537, 280, 4567, 32, 7017, 346, 203, 1537, 32, 4526, 440, 4620, 319, 3753, 30108, 657, 203, 1433, 280, 2738, 32, 44569, 346, 203, 20853, 280, 428, 2665, 26, 3969, 26146, 15888, 1461, 16033, 352, 392, 313, 15888, 687, 392, 313, 5978, 1516, 392, 313, 13886, 2113, 102, 490, 436, 273, 328, 1779, 79, 203, 1832, 2052, 280, 739, 43270, 106, 1365, 15888, 3439, 816, 1365, 15888, 687, 6890, 436, 816, 328, 30108, 1130, 203, 1832, 2052, 280, 28254, 426, 563, 106, 77, 34, 614, 313, 687, 563, 106, 77, 35, 6653, 436, 816, 328, 1968, 2052, 79, 203, 1537, 32, 4526, 440, 4620, 319, 3753, 26811, 1728, 657, 203, 1433, 280, 2738, 32, 44569, 346, 203, 20811, 1728, 280, 428, 2665, 26, 3969, 26146, 426, 1461, 687, 2113, 102, 490, 436, 273, 328, 1779, 79, 203, 589, 622, 81, 4820, 26, 16033, 352, 30, 5808, 30, 1477, 30, 943, 30, 3616, 84, 11414, 2188, 3616, 101, 11414, 37886, 203, 202, 85, 280, 4567, 32, 7017, 346, 203, 202, 85, 32, 4526, 440, 4620, 319, 3753, 32751, 4998, 1477, 1003, 47815, 904, 101, 3114, 904, 101, 3114, 16303, 352, 280, 904, 101, 3114, 5808, 280, 904, 101, 3003, 308, 1366, 30, 943, 30, 16303, 352, 30, 5808, 490, 203, 202, 1433, 280, 281, 32, 44569, 346, 203, 202, 4820, 280, 428, 2665, 26, 3969, 26146, 1311, 1461, 5978, 1461, 18495, 1461, 3368, 1461, 20896, 1461, 30908, 392, 313, 15888, 1461, 24892, 687, 1461, 7632, 687, 1461, 16033, 352, 2113, 100, 490, 436, 540, 328, 1779, 79, 203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 3, 4, 2, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 4, 5, 3, 4, 3, 5, 5, 5, 5, 1, 1, 7, 7, 6, 7, 7, 7, 7, 5, 6, 5, 7, 7, 2, 2, 5, 4, 4, 7, 6, 7, 7, 6, 9, 8, 9, 7, 9, 9, 9, 9, 2, 2, 5, 4, 4, 7, 7, 7, 6, 7, 6, 6, 6, 7, 10, 9, 10, 8, 10, 9, 6, 6, 7, 9, 8, 9, 6, 6, 6, 7, 9, 8, 9, 6, 6, 6, 7, 9, 8, 9, 6, 6, 6, 7, 9, 8, 9, 6, 6, 6, 1, 2, 2, 2, 2, 6, 5, 5, 8, 8, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 0, 3, 2, 2, 4, 5, 5, 0, 4, 3, 4, 4, 4, 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, 0, 3, 3, 4, 3, 0, 3, 2, 2, 4, 5, 4, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 0, 3, 2, 2, 4, 5, 4, 0, 3, 2, 2, 5, 5, 7, 7, 10, 10, 10, 10, 10, 8, 10, 10, 10, 8, 10, 10, 10, 8, 10, 10, 8, 7, 3, 4, 4, 4, 3, 0, 3, 3, 2, 2, 4, 8, 7, 9, 9, 6, 7, 9, 9, 9, 5, 6, 6, 6, 5, 0, 3, 3, 2, 2, 7, 7, 7, 6, 7, 6, 4, 7, 7, 7, 6, 7, 6, 3, 4, 4, 4, 5, 3, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 0, 3, 2, 2, 4, 5, 4, 0, 3, 3, 2, 2, 5, 5, 7, 7, 10, 10, 10, 10, 8, 7, 3, 4, 4, 4, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 4, 3, 6, 2, 4, 3, 6, 1, 1, 5, 4, 4, 6, 7, 6, 2, 2, 6, 5, 6, 5, 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, 5, 7, 6, 6, 6, 6, 7, 6, 6, 6, 2, 2, 5, 4, 4, 6, 7, 6, 2, 2, 5, 4, 4, 7, 7, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 9, 5, 6, 6, 6, 5, 2 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 5, 5, 0, 0, 0, 0, 6, 6, 0, 7, 7, 0, 2, 1, 1, 2, 0, 8, 8, 0, 9, 9, 0, 10, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 12, 12, 0, 2, 0, 2, 1, 1, 1, 1, 2, 12, 12, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 3, 0, 2, 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, 12, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 3, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 3, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 0, 25, 25, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 9, 1, 2, 0, 11, 1, 25, 25, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 5, 3, 3, 3, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 4 ]
[ 465, 15798, 203, 465, 5741, 203, 465, 44524, 203, 465, 3995, 203, 465, 816, 3078, 203, 1070, 16539, 1188, 447, 1676, 30, 21925, 1304, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 9568, 280, 225, 35, 34, 36, 38, 28, 35, 34, 225, 203, 823, 1593, 3078, 1006, 26, 18986, 32, 7233, 711, 334, 665, 894, 81, 3965, 81, 1206, 81, 279, 40782, 26, 784, 711, 284, 630, 32, 4983, 26, 308, 35, 30, 4939, 1593, 2113, 816, 3078, 32, 3965, 81, 1206, 81, 279, 40782, 5528, 96, 1593, 2131, 334, 665, 894, 81, 3965, 81, 1206, 81, 1216, 444, 26, 784, 711, 284, 630, 32, 4983, 26, 308, 36, 30, 27203, 50, 2113, 816, 3078, 32, 3965, 81, 1206, 81, 279, 40782, 5528, 3126, 78, 106, 43, 34, 78, 106, 38, 34, 2131, 334, 665, 894, 81, 6055, 81, 452, 81, 2369, 86, 26, 784, 711, 284, 3995, 81, 878, 280, 34873, 2524, 26, 9918, 26, 3855, 32, 300, 359, 363, 5960, 26, 42, 490, 436, 617, 328, 2155, 26, 9568, 490, 284, 298, 280, 447, 1676, 14141, 2369, 86, 3439, 9073, 47, 1815, 30, 24621, 47, 18165, 30, 12532, 47, 18165, 30, 4230, 81, 30756, 47, 1815, 27, 284, 308, 21633, 30, 16154, 27, 280, 298, 32, 508, 48275, 26, 3855, 81, 878, 27, 284, 630, 32, 14846, 26, 8228, 27, 284, 1688, 280, 44524, 32, 652, 2338, 346, 284, 816, 3078, 32, 1831, 26, 652, 2338, 32, 652, 2338, 26, 3855, 81, 878, 471, 1688, 27, 284, 630, 32, 4983, 26, 21633, 30, 1688, 32, 371, 853, 1157, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 334, 15798, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 3, 0, 1, 1, 1, 1, 3, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 2, 2, 4, 4, 4, 4, 3, 4, 4, 0, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 7, 9, 8, 8, 10, 10, 7, 10, 9, 10, 10, 10, 10, 10, 10, 9, 12, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 7, 9, 8, 8, 10, 10, 7, 10, 9, 10, 10, 10, 10, 10, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 8, 10, 10, 13, 12, 13, 13, 13, 13, 12, 13, 12, 8, 9, 9, 9, 11, 12, 11, 4, 4, 6, 6, 8, 8, 11, 11, 11, 8, 9, 10, 8, 8, 9, 10, 8, 8, 9, 10, 8, 8, 10, 10, 9, 10, 8, 4, 4, 8, 7, 7, 7, 6, 6, 8, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 6, 6, 8, 9, 9, 8, 4, 4, 8, 7, 8, 7, 10, 10, 9, 10, 10, 9, 10, 10, 10, 9, 7, 7, 4, 4, 7, 8, 7, 8, 7, 7, 9, 10, 10, 9, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 8, 8, 1, 1, 2, 0, 1, 2, 2, 8, 8, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 0, 0, 9, 2, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 9, 9, 0, 0, 1, 1, 1, 1, 9, 9, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 316, 203, 1070, 526, 5231, 1188, 1359, 203, 1070, 526, 5231, 32, 5558, 1188, 4261, 5231, 4152, 203, 1070, 526, 5231, 32, 36118, 1188, 34853, 4196, 2247, 203, 823, 2032, 2348, 4152, 26, 1467, 5231, 4152, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 974, 2348, 4152, 30, 630, 14585, 1664, 16369, 291, 630, 32, 3317, 81, 9453, 463, 465, 81, 2795, 81, 4524, 370, 7686, 630, 32, 465, 81, 2795, 81, 4524, 81, 1567, 27, 291, 630, 32, 1163, 32, 669, 1371, 324, 330, 983, 950, 330, 3424, 25, 291, 1790, 291, 630, 32, 983, 81, 12340, 81, 7920, 280, 766, 324, 630, 32, 983, 81, 17154, 81, 7920, 280, 766, 324, 316, 32, 6993, 26, 784, 32, 1163, 710, 983, 5695, 371, 1157, 291, 415, 330, 12340, 81, 983, 25, 328, 630, 32, 1163, 44, 324, 630, 32, 983, 81, 12340, 81, 7920, 280, 316, 32, 6993, 26, 784, 32, 1163, 710, 12340, 81, 983, 5695, 371, 1157, 291, 415, 330, 17154, 81, 983, 25, 328, 630, 32, 1163, 44, 400, 630, 32, 983, 81, 17154, 81, 7920, 280, 316, 32, 6993, 26, 528, 630, 32, 1163, 710, 17154, 81, 983, 5695, 371, 1157, 284, 665, 1188, 81, 2795, 81, 4524, 81, 1567, 26, 784, 30, 3523, 30, 2899, 711, 291, 415, 2899, 32, 3028, 461, 2069, 26, 2795, 32, 3028, 27, 848, 225, 34, 44, 324, 3946, 81, 452, 81, 465, 280, 1605, 324, 436, 1623, 328, 2899, 32, 3028, 44, 400, 415, 630, 32, 761, 81, 2029, 26, 1094, 710, 983, 37886, 528, 3946, 81, 452, 81, 465, 32, 1689, 26, 1094, 27, 324, 415, 2069, 26, 3028, 81, 452, 81, 465, 27, 848, 225, 34, 44, 400, 2899, 32, 3028, 280, 3946, 81, 452, 81, 465, 324, 813, 44, 400, 442, 1605, 291, 4348, 6937, 26, 2795, 30, 34853, 4196, 2247, 711, 324, 415, 646, 630, 32, 761, 81, 2029, 26, 2795, 32, 1094, 710, 983, 37886, 400, 442, 1605, 291, 442, 428, 2795, 79, 284, 665, 803, 81, 2029, 26, 784, 30, 3536, 81, 983, 711, 291, 1188, 81, 1163, 280, 5436, 26, 1163, 710, 465, 3490, 291, 415, 330, 1738, 45422, 25, 646, 328, 1188, 81, 1163, 556, 646, 1188, 81, 1163, 77, 400, 330, 1738, 45422, 12132, 324, 442, 630, 32, 983, 81, 12340, 81, 7920, 32, 2872, 26, 2620, 81, 983, 27, 438, 646, 1665, 291, 813, 44, 324, 442, 630, 32, 983, 81, 17154, 81, 7920, 32, 2872, 26, 2620, 81, 983, 27, 438, 646, 1665, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 7, 4, 4, 8, 9, 7, 8, 7, 8, 8, 11, 11, 9, 11, 11, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 6, 8, 9, 9, 9, 9, 9, 7, 7, 8, 7, 9, 10, 9, 14, 13, 14, 12, 14, 14, 12, 11, 4, 4, 5, 8, 8, 8, 8, 6, 6, 7, 8, 5, 5, 5, 9, 10, 10, 10, 10, 10, 8, 8, 10, 11, 10, 15, 14, 15, 13, 15, 15, 15, 15, 13, 12, 4, 4, 5, 8, 8, 8, 8, 6, 6, 7, 8, 5, 5, 5, 9, 10, 10, 10, 10, 10, 8, 8, 10, 11, 10, 10, 10, 14, 15, 13, 15, 15, 15, 15, 13, 12, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 8, 6, 6, 9, 11, 10, 11, 9, 7, 7, 8, 5, 5, 5, 9, 9, 9, 9, 8, 8, 6, 6, 7, 7, 7, 8, 9, 7, 7, 7, 9, 11, 12, 12, 12, 11, 13, 12, 14, 14, 9, 9, 14, 14, 14, 14, 13, 14, 13, 14, 13, 6, 6, 7, 10, 11, 11, 11, 11, 11, 10, 8, 8, 9, 7, 7, 7, 11, 12, 10, 10, 11, 11, 11, 11, 7, 7, 8, 8, 8, 10, 5, 5, 6, 8, 9, 8, 8, 9, 9, 8, 6, 6, 8, 9, 11, 12, 12, 12, 11, 14, 13, 14, 12, 14, 14, 8, 8, 10, 4, 4, 5, 7, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 8, 10, 9, 11, 11, 4, 4, 5, 9, 9, 9, 7, 7, 7, 8, 8, 6, 6, 7, 9, 9, 8, 8, 8, 10, 10, 10, 5, 5, 7, 11, 12, 12, 12, 12, 12, 10, 11, 10, 11, 11, 11, 10, 8, 8, 8, 5, 5, 6, 6, 6, 8, 12, 13, 13, 13, 13, 13, 11, 12, 11, 12, 12, 12, 11, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 3, 3, 2, 3, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 4, 4, 4, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 4, 4, 5, 1, 1, 1, 2, 1, 1, 2, 2, 5, 5, 5, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 4, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 4, 4, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 4, 4, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 2, 2, 2, 2, 2, 0, 2, 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 ]
[ 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 273, 48970, 4280, 32, 858, 32, 1580, 1188, 5675, 30, 10473, 7233, 30, 1487, 81, 6844, 81, 2859, 203, 1070, 7138, 1188, 7138, 203, 1070, 18564, 1188, 11656, 81, 858, 81, 1526, 81, 605, 203, 465, 3995, 203, 823, 5692, 43107, 26, 984, 711, 284, 3097, 203, 589, 4450, 26, 1237, 30, 14553, 47, 2521, 711, 284, 415, 14553, 438, 1665, 44, 291, 665, 1256, 81, 23741, 2740, 1132, 30, 1115, 5321, 711, 324, 442, 284, 813, 44, 291, 1256, 81, 23741, 280, 14553, 284, 443, 20107, 2291, 4140, 26, 6221, 7233, 711, 291, 477, 16099, 291, 665, 4450, 81, 1495, 81, 858, 81, 605, 26, 1495, 711, 324, 1600, 81, 30044, 280, 1600, 3667, 823, 29215, 426, 505, 324, 415, 1600, 81, 30044, 610, 330, 16357, 950, 400, 6658, 81, 853, 280, 313, 34439, 20, 324, 4348, 1600, 81, 30044, 610, 313, 30400, 563, 400, 6658, 81, 853, 280, 225, 35, 36, 37, 38, 39, 324, 4348, 1600, 81, 30044, 610, 313, 25034, 1176, 563, 400, 308, 3423, 30, 736, 27, 280, 1600, 32, 452, 81, 823, 922, 1297, 81, 858, 81, 3142, 346, 400, 442, 428, 3423, 79, 324, 4348, 1600, 81, 30044, 610, 313, 23468, 1176, 20, 556, 1600, 81, 30044, 610, 313, 13343, 563, 400, 308, 3423, 30, 736, 27, 280, 1600, 32, 452, 81, 823, 922, 1297, 81, 858, 81, 3142, 346, 400, 442, 428, 3423, 79, 324, 4348, 1600, 81, 30044, 610, 313, 1547, 1176, 563, 400, 442, 7138, 32, 2174, 346, 324, 4348, 1600, 81, 30044, 610, 313, 7167, 1176, 563, 400, 442, 2149, 324, 813, 44, 400, 3636, 5692, 43107, 26, 1495, 81, 30044, 27, 324, 442, 6658, 81, 853, 291, 477, 16099, 291, 665, 6959, 81, 1526, 81, 9785, 81, 4151, 81, 34665, 81, 1986, 26, 400, 630, 30, 2869, 81, 426, 30, 2869, 30, 1600, 81, 426, 30, 1600, 711, 324, 415, 2869, 32, 3374, 81, 1297, 2262, 400, 2364, 81, 605, 280, 11656, 81, 858, 81, 1526, 81, 605, 26, 784, 30, 2869, 27, 400, 1596, 44, 528, 3555, 2364, 81, 605, 77, 1495, 81, 426, 79, 400, 2940, 44, 528, 442, 400, 1789, 280, 630, 32, 1580, 32, 1526, 26, 3142, 32, 371, 81, 3142, 81, 668, 81, 3423, 1026, 528, 2364, 81, 605, 27, 400, 436, 1340, 328, 428, 38, 34, 35, 30, 225, 38, 34, 38, 30, 225, 39, 34, 34, 2786, 528, 3124, 280, 5461, 101, 3217, 312, 904, 101, 1789, 1412, 1973, 30611, 312, 8083, 623, 20, 766, 1014, 313, 5816, 904, 101, 429, 904, 101, 20, 528, 3124, 904, 47, 308, 3142, 81, 426, 30, 1340, 30, 1600, 81, 426, 30, 1789, 32, 1286, 27, 528, 630, 32, 31196, 1324, 26, 687, 30, 1789, 32, 1517, 81, 687, 30, 3124, 27, 400, 3338, 30, 1795, 81, 681, 280, 1789, 1114, 5078, 710, 1286, 31, 681, 785, 400, 415, 2069, 26, 1986, 32, 1286, 27, 848, 225, 34, 44, 528, 3124, 280, 313, 8418, 1795, 827, 1412, 8083, 299, 312, 904, 101, 623, 5816, 904, 101, 1924, 766 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 6, 6, 6, 8, 6, 6, 8, 6, 5, 5, 3, 3, 4, 4, 4, 8, 8, 7, 7, 2, 2, 3, 4, 4, 4, 5, 5, 4, 3, 3, 7, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 8, 7, 6, 6, 10, 10, 9, 9, 11, 12, 12, 11, 11, 7, 7, 8, 10, 10, 9, 9, 11, 11, 8, 8, 12, 12, 11, 11, 13, 13, 8, 8, 9, 11, 11, 10, 10, 12, 12, 9, 9, 13, 13, 12, 12, 13, 13, 13, 13, 13, 8, 8, 9, 11, 11, 10, 10, 12, 12, 12, 9, 9, 14, 13, 13, 13, 12, 12, 16, 17, 17, 17, 16, 15, 15, 15, 15, 15, 14, 10, 10, 11, 13, 12, 8, 8, 9, 12, 12, 11, 11, 13, 13, 13, 10, 10, 12, 12, 11, 11, 13, 13, 9, 9, 14, 13, 13, 13, 12, 12, 16, 17, 17, 17, 16, 15, 15, 15, 15, 15, 14, 10, 10, 11, 13, 12, 8, 8, 9, 11, 11, 10, 10, 12, 12, 12, 9, 9, 11, 13, 14, 13, 8, 8, 9, 11, 11, 10, 10, 12, 12, 12, 9, 9, 11, 8, 8, 9, 9, 9, 11, 13, 13, 14, 14, 14, 13, 7, 7, 8, 9, 9, 4, 4, 7, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 7, 7, 8, 8, 7, 7, 7, 6, 6, 8, 10, 11, 11, 11, 10, 8, 8, 12, 12, 11, 11, 13, 13, 13, 13, 13, 13, 13, 14, 13, 13, 13, 9, 9, 10, 10, 10, 12, 14, 14, 13, 14, 14, 14, 13, 10, 10, 11, 11, 11, 9, 9, 11, 11, 14, 15, 13, 14, 13, 16, 15, 16, 16, 16, 16, 16, 16, 16, 15, 13, 13, 14, 14, 13, 9, 9, 10, 10, 10, 12, 12, 12, 11, 11, 12, 12, 12, 11, 11, 12, 12, 12, 11, 10, 10, 13, 13, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 14, 16, 16, 16, 16, 16, 16, 16, 11, 11, 13, 13, 13, 15, 15, 15, 14, 14, 14, 14, 15, 15, 14, 14, 15, 16, 14, 11, 11, 14, 15, 15, 14, 15, 14, 14, 15, 16, 16, 16, 14, 14, 14, 9, 9, 12, 12, 13, 13, 11, 11, 13, 14, 12, 14, 14, 14, 14, 9, 9, 10, 13, 15, 14, 15, 13, 11, 11, 12, 10, 10, 10, 13, 13, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 6, 6, 2, 1, 2, 2, 3, 2, 2, 6, 6, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 5, 0, 0, 1, 1, 1, 1, 2, 5, 5, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 6, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 6, 6, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 7, 0, 0, 1, 1, 1, 1, 2, 7, 7, 0, 0, 2, 1, 1, 1, 8, 0, 0, 1, 1, 1, 1, 2, 8, 8, 0, 1, 1, 9, 9, 9, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 7, 7, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 2, 2, 5, 5, 0, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 3, 3, 5, 1, 0, 1, 2, 1, 1, 1, 2, 5, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2 ]
[ 465, 2361, 203, 465, 2322, 203, 465, 16539, 619, 1869, 203, 465, 5237, 203, 465, 19493, 203, 1070, 16539, 1188, 1505, 81, 2024, 203, 862, 5237, 32, 1648, 81, 1338, 848, 308, 37, 30, 225, 34, 471, 5237, 32, 1648, 81, 1338, 203, 325, 5237, 32, 1648, 81, 1338, 2377, 308, 37, 30, 225, 41, 711, 284, 665, 10061, 81, 1851, 2740, 1132, 30, 1115, 5321, 711, 291, 1869, 32, 1945, 26, 1132, 30, 12847, 81, 2024, 47, 1815, 30, 1505, 47, 1815, 30, 1115, 5321, 27, 203, 1824, 44, 284, 665, 10061, 81, 1851, 2740, 1132, 30, 1115, 5321, 711, 291, 1596, 44, 324, 1869, 32, 1553, 81, 2024, 26, 1132, 30, 16154, 47, 419, 32, 39790, 30, 1115, 5321, 27, 291, 2940, 1869, 32, 9402, 2861, 924, 619, 484, 44, 324, 1459, 26, 87, 32, 2024, 32, 5460, 1157, 324, 3636, 484, 203, 589, 622, 81, 4519, 26, 678, 711, 284, 442, 1505, 81, 2024, 4901, 33, 3381, 33, 6074, 33, 2175, 33, 371, 81, 4519, 81, 853, 370, 330, 5843, 22298, 2473, 1643, 26, 678, 2177, 547, 5460, 346, 203, 589, 13947, 81, 325, 81, 1206, 81, 4658, 26, 983, 711, 284, 1596, 44, 291, 2322, 32, 27428, 26, 983, 27, 284, 2940, 546, 21887, 619, 484, 44, 291, 415, 484, 32, 12864, 863, 19493, 32, 55, 27530, 44, 324, 3636, 203, 4298, 280, 622, 81, 4519, 463, 2901, 11365, 85, 31, 4298, 683, 203, 325, 4203, 610, 330, 8798, 950, 284, 10773, 81, 18348, 280, 428, 291, 330, 43764, 370, 291, 330, 4765, 94, 46, 36, 34, 36, 34, 370, 291, 330, 94, 2593, 46, 39, 370, 291, 330, 2175, 31, 3209, 31, 4219, 379, 35, 32, 36, 39, 3424, 370, 291, 330, 641, 555, 933, 32, 508, 33, 90, 607, 31, 297, 33, 26604, 24364, 33, 8929, 33, 104, 34, 32, 35, 32, 35, 36, 29, 90, 607, 32, 3969, 370, 291, 330, 13453, 6474, 379, 38, 32, 35, 34, 3424, 370, 291, 330, 13453, 12035, 379, 41, 32, 38, 3424, 370, 291, 330, 24108, 31, 4466, 379, 40, 32, 34, 3424, 370, 291, 330, 1490, 5954, 379, 39, 32, 39, 3424, 370, 291, 330, 22451, 379, 39, 32, 41, 3424, 370, 291, 330, 12561, 4466, 379, 38, 32, 39, 3424, 25, 284, 1481, 284, 1596, 44, 291, 1256, 81, 18348, 280, 622, 81, 4519, 463, 8882, 11061, 683, 284, 2940, 3268, 44, 291, 3097, 284, 813, 44, 291, 10773, 81, 18348, 32, 8233, 26, 496, 81, 18348, 32, 2998, 44868, 2847, 284, 1459, 463, 9060, 7599, 884, 19553, 1643, 26, 9060, 81, 18348, 490, 284, 2016, 280, 2107, 9060, 370, 330, 3789, 785, 284, 2016, 32, 8233, 26, 9060, 81, 18348, 27, 284, 10061, 81, 1851, 2740, 2501, 27, 284, 1459, 463, 15490, 5035, 683, 284, 19461, 81, 983, 280, 622, 81, 4519, 463, 73, 1675, 2146, 683, 284, 19461, 81, 426, 280, 19461, 81, 983, 32, 2998, 24667, 6448, 35, 79, 284, 1459, 463, 47515, 19461, 683, 284, 10061, 81, 1851, 463, 5360, 1040, 370, 330, 2219, 370, 19461, 81, 983, 30, 296, 18010, 2833 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 4, 4, 4, 2, 2, 4, 3, 3, 4, 3, 1, 2, 3, 3, 3, 0, 1, 1, 3, 4, 4, 4, 2, 2, 4, 3, 3, 4, 3, 1, 1, 3, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 7, 8, 7, 7, 9, 9, 8, 9, 7, 7, 8, 9, 7, 7, 9, 7, 1, 2, 2, 2, 2, 4, 5, 5, 5, 7, 5, 5, 7, 5, 4, 4, 6, 6, 6, 10, 11, 11, 11, 10, 11, 10, 10, 11, 13, 12, 13, 10, 10, 12, 10, 6, 6, 7, 9, 10, 10, 10, 8, 8, 7, 7, 7, 11, 15, 14, 15, 13, 14, 13, 8, 8, 9, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 12, 12, 12, 11, 10, 11, 10, 7, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 7, 8, 7, 8, 7, 3, 3, 4, 6, 5, 5, 4, 4, 4, 6, 8, 9, 7, 7, 8, 9, 9, 6, 6, 6, 0, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 4, 4, 1, 1, 5, 5, 4, 4, 5, 5, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 2, 2, 3, 3, 3, 7, 7, 6, 6, 8, 8, 8, 10, 10, 10, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 9, 9, 8, 9, 8, 11, 11, 11, 10, 11, 10, 12, 2, 2, 5, 9, 9, 9, 9, 8, 7, 8, 8, 8, 7, 2, 2, 4, 4, 7, 7, 5, 7, 7, 2, 2, 5, 6, 5, 6, 6, 6, 5, 2, 2, 5, 5, 5, 7, 5, 2, 2, 5, 7, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 6, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 8, 8, 7, 8, 7, 5, 7, 5, 2, 2, 5, 7, 7, 7, 2, 2, 5, 5, 5, 7, 7, 7, 5, 7, 7, 5, 6, 6, 5, 5, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 0, 0, 6, 6, 0, 2, 2, 2, 1, 1, 1, 2, 2, 3, 2, 6, 3, 2, 2, 2, 0, 7, 7, 0, 2, 2, 2, 1, 1, 1, 2, 2, 3, 2, 7, 7, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 1, 1, 7, 4, 4, 4, 4, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 0, 2, 2, 1, 1, 1, 1, 0, 0, 3, 0, 2, 2, 2, 1, 1, 3, 3, 3, 1, 0, 0, 2, 0, 2, 1, 3, 3, 1, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 9, 9, 1, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 3, 0, 1, 1, 3, 3, 3, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 11, 11, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 1, 1, 4, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 2, 2, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 3, 3, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 3, 3, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 5, 5, 1, 1, 0, 1 ]
[ 100, 2993, 30409, 8565, 372, 1487, 20905, 3157, 2276, 645, 41452, 2276, 7107, 544, 570, 3746, 32, 203, 16848, 884, 322, 20905, 3157, 2179, 2799, 810, 225, 322, 736, 1299, 461, 312, 775, 872, 278, 364, 4549, 32, 203, 5297, 6886, 44, 203, 2958, 429, 95, 28671, 32, 978, 766, 1568, 769, 3239, 81, 4700, 23122, 555, 3209, 31, 696, 31, 605, 33, 1275, 33, 41453, 81, 18437, 33, 3239, 81, 470, 32, 4700, 766, 1568, 769, 6460, 81, 4700, 23122, 555, 3209, 31, 696, 31, 605, 33, 1275, 33, 41453, 81, 18437, 33, 6569, 81, 470, 32, 4700, 766, 1568, 769, 5919, 81, 761, 517, 2868, 33, 5919, 32, 2760, 766, 1568, 769, 2250, 81, 314, 398, 12146, 766, 1568, 769, 2024, 81, 1515, 23122, 39709, 26468, 3188, 491, 103, 33, 1275, 823, 33, 605, 203, 1318, 2179, 432, 322, 15599, 2276, 438, 44, 284, 3834, 31, 1028, 31, 893, 30, 1172, 203, 2185, 322, 2179, 432, 322, 6492, 81, 761, 438, 9639, 312, 1149, 432, 5852, 1591, 31, 462, 31, 928, 32, 203, 2993, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 16672, 203, 465, 7138, 203, 465, 2322, 203, 465, 22977, 203, 465, 16539, 203, 465, 5237, 203, 465, 25359, 81, 13201, 619, 25203, 203, 465, 14785, 619, 5239, 203, 589, 617, 410, 40, 38, 81, 3274, 26, 853, 711, 334, 415, 646, 6937, 26, 853, 30, 1149, 711, 284, 786, 280, 428, 853, 79, 334, 442, 5239, 32, 3239, 32, 4228, 26, 410, 40, 38, 81, 668, 47, 4213, 32, 3239, 32, 1428, 40, 38, 720, 26, 853, 47, 853, 490, 203, 589, 617, 3651, 81, 3274, 26, 853, 711, 334, 442, 5239, 32, 3239, 32, 4228, 26, 3651, 81, 668, 47, 4213, 32, 3239, 32, 3644, 720, 26, 853, 6020, 853, 5259, 203, 589, 617, 5954, 81, 452, 81, 2763, 26, 3607, 30, 1778, 81, 2668, 30, 2266, 81, 410, 30, 2266, 81, 466, 30, 2384, 30, 715, 1861, 711, 334, 1963, 1166, 280, 330, 7807, 25, 334, 11022, 280, 225, 37, 334, 1778, 81, 1643, 280, 330, 30671, 25, 334, 2280, 280, 5239, 32, 3239, 32, 5297, 26, 397, 5359, 47, 4213, 32, 3239, 32, 9554, 26, 616, 2787, 1279, 1090, 330, 893, 33, 2273, 950, 617, 410, 40, 38, 81, 3274, 26, 2273, 471, 1090, 330, 893, 33, 1644, 950, 617, 410, 40, 38, 81, 3274, 26, 1644, 471, 1090, 330, 893, 33, 1489, 1166, 950, 617, 3651, 81, 3274, 26, 1489, 1166, 471, 1090, 330, 893, 33, 8147, 950, 617, 410, 40, 38, 81, 3274, 26, 8147, 471, 1090, 330, 893, 33, 823, 33, 1172, 950, 617, 410, 40, 38, 81, 3274, 26, 1172, 81, 410, 474, 17739, 35, 471, 261, 1090, 330, 893, 33, 823, 33, 9381, 470, 950, 617, 3651, 81, 3274, 26, 1172, 81, 466, 471, 1090, 330, 893, 33, 1643, 950, 617, 3651, 81, 3274, 26, 893, 81, 1643, 471, 1090, 330, 893, 33, 3607, 950, 617, 3651, 81, 3274, 26, 500, 32, 983, 32, 15705, 26, 3607, 3662, 1090, 330, 893, 33, 12596, 950, 617, 3651 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 4, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 6, 7, 6, 6, 6, 3, 3, 6, 6, 8, 7, 2, 2, 3, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 6, 10, 9, 10, 8, 9, 9, 9, 9, 8, 10, 9, 10, 8, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 5, 7, 7, 7, 6, 10, 9, 10, 8, 9, 9, 8, 10, 9, 11, 10, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 5, 4, 4, 6, 6, 2, 2, 4, 4, 5, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 7, 8, 6, 7, 6, 6, 6, 7, 11, 10, 11, 9, 10, 9, 9, 9, 10, 11, 11, 14, 14, 14, 14, 12, 14, 14, 14, 14, 14, 14, 15, 14, 11, 11, 14, 14, 14, 14, 12, 14, 14, 14, 14, 14, 14, 15, 14, 11, 11, 14, 14, 14, 14, 14, 12, 14, 14, 14, 14, 15, 15, 14, 11, 11, 14, 14, 14, 14, 12, 14, 14, 14, 14, 14, 14, 15, 14, 11, 11, 14, 14, 14, 14, 14, 14, 12, 14, 14, 14, 14, 14, 14, 16, 16, 16, 15, 15, 16, 14, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 12, 14, 14, 14, 14, 15, 15, 15, 14, 11, 11, 14, 14, 14, 14, 12, 14, 14, 14, 14, 15, 15, 15, 14, 11, 11, 14, 14, 14, 14, 12, 14, 14, 14, 14, 18, 17, 18, 16, 17, 16, 17, 16, 11, 11, 14, 14, 14, 14, 12, 14 ]
[ 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, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 0, 1, 1, 0, 9, 9, 1, 1, 0, 10, 10, 1, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 4, 4, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 11, 11, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 12, 12, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 2, 2, 2, 2, 12, 12, 0, 0, 0, 1, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 5, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 7, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 9, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 11, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 13, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 15, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 17, 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, 1070, 28520, 32, 4275, 1188, 35603, 924, 203, 1070, 28520, 32, 2304, 32, 2811, 1188, 4588, 203, 823, 7051, 44, 284, 5881, 312, 2350, 432, 28520, 17758, 5881, 284, 665, 1156, 1664, 3207, 784, 30, 636, 47, 2521, 711, 291, 630, 32, 6299, 280, 225, 34, 291, 630, 32, 426, 280, 636, 291, 630, 32, 15934, 280, 1605, 291, 630, 32, 6862, 280, 2149, 291, 630, 32, 2661, 81, 6332, 280, 1605, 291, 630, 32, 2544, 81, 6332, 280, 1605, 291, 630, 1114, 15934, 81, 2613, 280, 1665, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 630, 32, 371, 81, 426, 346, 284, 665, 1156, 371, 1293, 3207, 784, 711, 291, 442, 630, 32, 6282, 346, 284, 665, 1156, 470, 1293, 3207, 784, 30, 706, 711, 291, 442, 630, 32, 17012, 26, 605, 27, 284, 665, 12741, 26, 784, 711, 291, 2935, 81, 6332, 280, 1605, 291, 436, 2935, 328, 630, 32, 2544, 81, 6332, 44, 324, 2935, 81, 6332, 32, 1689, 26, 2544, 32, 6282, 1157, 291, 1056, 280, 5436, 26, 324, 636, 47, 784, 32, 426, 30, 324, 14447, 47, 784, 32, 6862, 32, 2991, 1026, 324, 2935, 81, 6332, 47, 2544, 81, 6332, 30, 324, 7713, 47, 784, 32, 6299, 30, 291, 829, 291, 442, 1056, 284, 665, 16975, 26, 784, 30, 706, 711, 291, 630, 3667, 1664, 16369, 291, 630, 32, 426, 280, 706, 32, 371, 463, 426, 683, 291, 630, 32, 6862, 280, 706, 32, 371, 463, 6862, 370, 5436, 1157, 291, 630, 32, 6299, 280, 706, 32, 371, 463, 6299, 370, 225, 34, 27, 291, 2935, 81, 6332, 280, 706, 32, 371, 463, 2544, 81, 6332, 370, 11544, 291, 436, 2935, 81, 605, 328, 2935, 81, 6332, 44, 324, 485, 280, 7051, 346, 324, 485, 32, 17012, 26, 2544, 81, 605, 27, 324, 630, 32, 2544, 81, 6332, 32, 1689, 26, 89, 27, 284, 665, 622, 81, 426, 26, 784, 711, 291, 442, 630, 32, 426, 284, 665, 1015, 81, 2661, 81, 1363, 26, 784, 30, 2350, 711, 291, 415, 630, 610, 2350, 44, 324, 3636, 3268, 440, 3374, 1330, 1015, 2350, 372, 8015, 657, 291, 415, 646, 2350, 328, 630, 32, 2661, 81, 6332, 44, 324, 630, 32, 2661, 81, 6332, 32, 1689, 26, 1363, 27, 324, 2350, 32, 6299, 280, 1769, 2009, 784, 32, 6299, 29, 35, 30, 2350, 32, 6299, 1130, 324, 2350, 1114, 1553, 81, 4915, 81, 6299, 346, 324, 415, 646, 630, 32, 426, 328, 428, 89, 32, 426, 436, 485, 328, 2350, 32, 2544, 81, 6332, 2786, 400, 2350, 32, 2544, 81, 6332, 32, 1689, 26, 784, 27, 324, 630, 32, 3815, 81, 15934, 81, 2613, 346, 284, 665, 617, 1553, 81, 4915, 81, 6299, 26, 784, 711, 291, 1596, 44, 324, 436, 2350, 328, 630, 32, 2661, 81, 6332, 44, 400, 2350, 32, 6299, 280, 1769, 2009, 784, 32, 6299, 29, 35, 30, 2350, 32, 6299, 1130, 400, 2350, 1114, 1553, 81, 4915, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 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, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 7, 6, 6, 4, 4, 5, 5, 5, 6, 7, 7, 7, 5, 5, 5, 10, 10, 9, 10, 9, 12, 11, 12, 11, 4, 4, 6, 6, 8, 8, 8, 9, 11, 10, 11, 8, 8, 8, 9, 13, 12, 13, 11, 12, 11, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 9, 11, 10, 11, 8, 8, 8, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 8, 10, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 4, 4, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 8, 8, 10, 6, 6, 9, 10, 9, 10, 10, 10, 9, 6, 6, 10, 11, 11, 11, 9, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 7, 7, 8, 9, 9, 9, 5, 5, 5, 10, 11, 11, 11, 9, 10, 9, 10, 9, 6, 6, 9, 10, 8, 8, 10, 14, 13, 14, 12, 13, 11, 11, 12, 13, 11, 6, 6, 9, 10, 10, 10, 10, 10, 9, 6, 6, 7, 8, 10, 11, 9, 9, 12, 11, 12, 10, 11, 11, 11, 12, 13, 13, 13, 10, 7, 7, 12, 13, 13, 13, 11, 12, 11, 12, 11, 6, 6, 9, 10, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 7, 7, 8, 9, 9, 9, 7, 7, 7, 11, 12, 10, 10, 12, 16, 15, 16, 14, 15, 13, 13, 14, 15, 13, 8, 8, 11, 12, 12, 12, 12 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 2, 3, 2, 2, 1, 1, 0, 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, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 3, 3, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 3, 3, 3, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 1, 3, 3, 4, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 2, 1, 1, 1, 3, 3, 5, 2, 1, 2, 5, 5, 0, 0, 0, 0, 4, 4, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 3, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 1, 7, 0, 2, 2, 1, 1, 1, 4, 4, 3, 3, 3, 6, 2, 1, 2, 2, 2, 6, 6, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 5, 1, 1, 5, 5, 3, 3, 5, 5, 5, 0, 0, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 5, 5, 0, 2, 2, 2, 0, 2, 1, 1, 1, 3, 3, 7, 1, 1, 2, 1, 2, 7, 7, 0, 1, 2, 3, 3, 8, 1, 1, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 3, 3, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 3, 2, 1, 3, 3, 0, 2, 2, 2, 2, 2, 1, 3, 3, 3, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 0, 2, 2, 2, 0, 2, 1, 1, 1, 3, 3, 0, 2, 2, 2, 2, 2, 1, 3, 3, 9, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 3, 2, 1, 5, 5, 0, 2, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 2322, 203, 465, 2322, 32, 983, 203, 465, 12870, 1040, 203, 465, 22977, 203, 465, 5237, 203, 465, 29590, 203, 505, 464, 505, 280, 3037, 1648, 392, 313, 5172, 1446, 203, 81, 32474, 31081, 81, 4530, 280, 313, 35, 42, 32, 38, 20, 203, 81, 38788, 81, 4530, 280, 313, 41, 32, 35, 32, 36, 20, 203, 81, 26636, 81, 10079, 81, 9572, 280, 2884, 9060, 2149, 7171, 14156, 33, 15174, 2296, 1643, 2176, 38788, 81, 4530, 490, 203, 1270, 44, 284, 1188, 17778, 203, 7343, 29986, 44, 284, 17778, 280, 1665, 284, 665, 617, 1981, 81, 6482, 81, 979, 81, 9060, 2262, 291, 3636, 26405, 2176, 26636, 81, 10079, 81, 9572, 27, 203, 1824, 44, 284, 665, 617, 1981, 81, 6482, 81, 979, 81, 9060, 2262, 291, 3097, 203, 81, 12146, 69, 280, 428, 284, 2884, 43764, 392, 617, 32474, 31081, 81, 4530, 471, 284, 2884, 9060, 392, 617, 38788, 81, 4530, 471, 203, 79, 203, 589, 617, 1945, 81, 9060, 26, 1132, 30, 5388, 81, 8478, 47, 2521, 711, 284, 415, 5388, 81, 8478, 438, 646, 1665, 44, 291, 5237, 32, 983, 280, 5388, 81, 8478, 474, 5237, 32, 983, 284, 1188, 10773, 284, 10773, 32, 1831, 26, 1132, 27, 203, 589, 1503, 2262, 284, 442, 617, 38788, 81, 4530, 203, 589, 617, 5820, 81, 9060, 81, 5983, 81, 3550, 2262, 284, 5036, 81, 452, 81, 2546, 280, 428, 93, 436, 831, 328, 2322, 32, 12757, 415, 831, 32, 15990, 440, 38788, 81, 3830, 284, 436, 831, 328, 5036, 81, 452, 81, 2546, 44, 291, 3555, 2322, 32, 12757, 77, 93, 79, 284, 2322, 32, 12757, 710, 38788, 81, 6191, 81, 3539, 785, 280, 2322, 32, 1902, 1693, 203, 589, 15616, 26, 2388, 47, 2521, 30, 10750, 47, 2700, 30, 1256, 47, 2700, 30, 1090, 3372, 3789, 47, 2700, 30, 1244, 81, 9060, 47, 1815, 30, 1090, 39451, 47, 34, 711, 284, 415, 3372, 3789, 461, 1244, 81, 9060, 44, 291, 3636, 10091, 440, 11394, 793, 3372, 3789, 461, 1244, 81, 9060, 10752, 657, 284, 617, 1981, 81, 6482, 81, 979, 81, 9060, 346, 284, 617, 5820, 81, 9060, 81, 5983, 81, 3550, 346, 284, 415, 3372, 3789, 44, 291, 2322, 32, 12757, 1365, 13309, 3360, 38788, 81, 15979, 1446, 280, 313, 3825, 3789, 20, 284, 4348, 646, 1244, 81, 9060, 44, 291, 2322, 32, 12757, 1365, 13309, 3360, 38788, 81, 15979, 1446, 280, 313, 3789, 20, 284, 3691, 1515, 280, 29590, 32, 4765, 86, 1433, 346, 284, 1596, 44, 291, 5388, 81, 8478, 280, 1605, 291, 436, 2074, 30, 1503, 328, 617, 12146, 69, 44, 324, 19461, 81, 426, 280, 19436, 31, 2537, 31, 978, 36, 32, 978, 37, 31, 4108, 31, 1813, 32, 35893, 2296, 1643, 26, 2250, 30, 1503, 27, 324, 640, 94, 280, 12870, 1040, 32, 371, 81, 605, 26, 400, 313, 12830, 9060, 392, 400, 7286, 17936, 1231, 22298, 2296, 1643, 26, 15668, 81, 426, 471, 324, 829, 324, 623, 2156, 26, 500, 32, 983, 32, 2524, 26, 30606, 30, 19461, 81, 426, 471, 313 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 7, 7, 7, 7, 7, 7, 7, 6, 5, 6, 6, 6, 5, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 8, 9, 9, 9, 9, 9, 8, 1, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 5, 5, 4, 3, 3, 6, 6, 4, 5, 5, 5, 4, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 5, 5, 4, 4, 4, 3, 3, 3, 7, 8, 6, 6, 8, 8, 7, 7, 8, 9, 2, 2, 3, 2, 2, 5, 6, 5, 6, 5, 0, 1, 1, 2, 1, 1, 3, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 5, 6, 6, 6, 7, 8, 5, 6, 8, 9, 8, 10, 10, 10, 2, 2, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 5, 7, 8, 6, 7, 6, 2, 2, 6, 7, 5, 7, 7, 7, 7, 7, 7, 4, 4, 5, 6, 6, 0, 1, 1, 2, 4, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 2, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 2, 3, 4, 2, 1, 1, 3, 5, 4, 4, 5, 5, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 3, 3, 3, 8, 9, 7, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 8, 3, 3, 4, 5, 6, 6, 4, 4, 4, 9, 10, 8, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 2, 2, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 3, 3, 7, 7, 6, 6, 4, 4, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 9, 9, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 11, 10, 10, 10, 6, 6, 9, 8, 8, 11, 10, 11, 11, 11, 10, 10, 10, 12, 12, 12, 10, 10, 14, 14, 14, 14, 13, 12, 13, 13, 13, 12, 10, 10, 6, 6, 7, 12, 16, 15, 16, 14, 15, 14, 15, 14, 14, 15, 15, 14, 12 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 11, 11, 11, 11, 0, 11, 3, 3, 3, 3, 3, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 11, 4, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 3, 3, 3, 3, 1, 2, 2, 1, 2, 3, 3, 3, 3, 3, 2, 2, 0, 13, 13, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 13, 13, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 4, 4, 0, 2, 1, 1, 1, 0, 14, 14, 2, 14, 14, 0, 1, 1, 1, 0, 15, 15, 1, 1, 1, 1, 1, 1, 1, 2, 15, 15, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 2, 2, 3, 0, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 0, 2, 1, 2, 1, 4, 4, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 16, 16, 2, 0, 1, 2, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 2, 0, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 11, 2, 2, 16, 16, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 3, 1, 3, 3, 3, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 3, 3, 4, 1, 1, 1, 4, 4, 4, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 5, 5, 5, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1 ]
[ 1070, 32774, 305, 339, 716, 1188, 2914, 30, 2914, 81, 18986, 30, 18452, 30, 9058, 203, 823, 894, 81, 1110, 26, 771, 81, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 7163, 280, 2914, 32, 1393, 81, 1521, 346, 284, 665, 28921, 26, 784, 711, 291, 630, 32, 7163, 280, 1665, 284, 665, 9332, 26, 784, 30, 15455, 711, 291, 1561, 81, 605, 280, 428, 34, 30, 225, 35, 30, 225, 36, 30, 225, 37, 30, 225, 34, 30, 225, 35, 30, 225, 36, 30, 225, 37, 79, 291, 2799, 81, 605, 280, 1992, 26, 5962, 816, 44, 15455, 77, 106, 614, 1561, 81, 605, 27, 291, 1561, 280, 9058, 32, 2402, 81, 1855, 81, 84, 26, 1617, 81, 605, 27, 291, 3089, 280, 18452, 32, 1110, 81, 2882, 26, 19111, 27, 291, 7112, 280, 9058, 32, 2402, 81, 16384, 81, 84, 346, 291, 630, 32, 7163, 32, 3517, 26, 1617, 30, 3089, 30, 7112, 27, 291, 630, 32, 7163, 32, 1945, 346, 291, 1056, 81, 605, 280, 1149, 26, 6298, 32, 605, 1157, 291, 630, 32, 5299, 26, 3140, 81, 605, 30, 1056, 81, 605, 27, 284, 665, 894, 81, 34, 34, 35, 26, 784, 711, 291, 15455, 280, 428, 34, 30, 225, 34, 30, 225, 34, 30, 225, 34, 79, 291, 630, 32, 4313, 26, 19111, 27, 284, 665, 894, 81, 34, 34, 36, 26, 784, 711, 291, 15455, 280, 428, 37, 30, 225, 36, 30, 225, 35, 30, 225, 34, 79, 291, 630, 32, 4313, 26, 19111, 27, 284, 665, 894, 81, 34, 34, 37, 26, 784, 711, 291, 15455, 280, 428, 42, 31, 35, 30, 225, 37, 36, 31, 35, 30, 225, 35, 36, 42, 30, 225, 36, 39, 40, 31, 35, 79, 291, 630, 32, 4313, 26, 19111, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 2914, 81, 18986, 32, 1945, 26, 858, 81, 1110, 30, 313, 858, 81, 1110, 32, 2593, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 4, 4, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 9, 10, 11, 10, 8, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 8, 9, 7, 8, 7, 8, 7, 7, 7, 7, 7, 4, 4, 8, 9, 7, 8, 7, 4, 4, 7, 7, 6, 6, 8, 11, 10, 11, 10, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 8, 9, 7, 7, 9, 9, 8, 9, 7, 7, 8, 8, 8, 7, 7, 9, 9, 9, 8, 9, 7, 4, 4, 7, 8, 7, 8, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 6, 6, 5, 6, 5, 6, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 2, 11, 2, 2, 13, 2, 2, 15, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 3, 1, 3, 3, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 1, 2, 2, 2, 0, 0, 3, 2, 2, 2, 5, 5, 5, 2, 2, 0, 0, 0, 7, 2, 2, 4, 4, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 600, 1549, 32, 13497, 32, 1237, 1188, 15098, 203, 1070, 8527, 32, 2957, 32, 11400, 1188, 1984, 30, 15103, 203, 1070, 600, 1549, 32, 1262, 32, 1237, 32, 2393, 1188, 3796, 81, 3483, 203, 1070, 600, 1549, 32, 1262, 32, 1237, 32, 1427, 1188, 4333, 81, 1071, 203, 1070, 600, 1549, 32, 1262, 32, 1237, 32, 3142, 1188, 390, 101, 4918, 571, 30816, 2291, 203, 339, 280, 5053, 11753, 950, 3796, 81, 3483, 111, 203, 16842, 1533, 2291, 280, 390, 101, 4918, 571, 30816, 2291, 26, 284, 4899, 47, 14458, 32, 19601, 1533, 1972, 30, 1115, 339, 27, 203, 2445, 2291, 280, 390, 101, 4918, 571, 30816, 2291, 26, 4531, 47, 14458, 32, 3409, 1972, 30, 1115, 339, 27, 203, 1855, 2291, 280, 390, 101, 4918, 571, 30816, 2291, 26, 4531, 47, 14458, 32, 19601, 2028, 1972, 30, 1115, 339, 27, 203, 18637, 2291, 280, 390, 101, 4918, 571, 30816, 2291, 26, 4531, 47, 14458, 32, 27577, 1972, 30, 1115, 339, 27, 203, 520, 625, 15536, 2291, 280, 390, 101, 4918, 571, 30816, 2291, 26, 284, 4899, 47, 14458, 32, 27330, 373, 15536, 1972, 30, 1115, 339, 27, 203, 1174, 2291, 280, 390, 101, 4918, 571, 30816, 2291, 26, 4531, 47, 14458, 32, 19601, 2871, 1972, 30, 1115, 339, 27, 203, 10736, 2291, 280, 390, 101, 4918, 571, 30816, 2291, 26, 284, 4899, 47, 14458, 32, 8859, 1972, 30, 1115, 339, 27, 203, 8234, 3409, 2291, 280, 390, 101, 4918, 571, 30816, 2291, 26, 284, 4899, 47, 14458, 32, 20663, 3409, 1972, 30, 1115, 339, 27, 203, 965, 15719, 280, 15103, 22869, 5556, 1984, 26, 100, 28249, 1427, 37143, 4333, 81, 1071, 30, 10306, 12516, 1647, 950, 15098, 835, 636, 347, 1237, 81, 13497, 81, 1427, 2113, 5556, 1984, 26, 100, 28249, 27655, 37143, 25943, 1533, 2291, 30, 636, 347, 1237, 81, 13497, 81, 1517, 2113, 5556, 1984, 26, 100, 28249, 1517, 33, 12390, 66, 46, 1473, 81, 1753, 5213, 86, 29, 7243, 25943, 1533, 2291, 30, 636, 347, 1237, 81, 13497, 81, 1517, 2113, 5556, 1984, 26, 100, 28249, 8416, 37143, 4054, 2291, 30, 636, 347, 1237, 81, 13497, 81, 8416, 2113, 5556, 1984, 26, 100, 28249, 2445, 33, 12390, 66, 46, 1473, 81, 1753, 5213, 86, 29, 7243, 4054, 2291, 30, 636, 347, 1237, 81, 13497, 81, 8416, 2113, 5556, 1984, 26, 100, 28249, 11250, 37143, 1914, 2291, 30, 636, 347, 1237, 81, 13497, 81, 11250, 2113, 5556, 1984, 26, 100, 28249, 1855, 33, 12390, 66, 46, 1473, 81, 1753, 5213, 86, 29, 7243, 1914, 2291, 30, 636, 347, 1237, 81, 13497, 81, 11250, 2113, 5556, 1984, 26, 100, 28249, 274, 8584, 37143, 16190, 2291, 30, 636, 347, 1237, 81, 13497, 81, 274, 8584, 2113, 5556, 1984, 26, 100, 28249, 18637, 33, 12390, 66, 46, 1473, 81, 1753, 5213, 86, 29, 7243, 16190, 2291, 30, 636, 347, 1237, 81, 13497, 81, 274, 8584, 2113, 5556, 1984, 26, 100, 28249, 520, 625, 41260, 37143, 30824, 2291, 30, 636, 347, 1237, 81, 13497, 81, 520, 625, 41260, 2113, 5556, 1984, 26, 100, 28249, 520, 625, 15536, 33, 12390, 66, 46, 1473 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 3, 2, 2, 6, 6, 4, 5, 5, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 6, 7, 7, 7, 4, 4, 6, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 6, 5, 7, 6, 7, 7, 4, 4, 6, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 6, 5, 7, 6, 7, 7, 7, 4, 4, 6, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 6, 5, 7, 6, 7, 7, 4, 4, 6, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 6, 7, 7, 7, 7, 4, 4, 6, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 6, 5, 7, 6, 7, 7, 7, 4, 4, 6, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 6, 7, 7, 4, 4, 6, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 6, 7, 7, 7, 4, 4, 6, 4, 0, 3, 3, 2, 2, 4, 4, 4, 6, 8, 8, 8, 8, 6, 7, 7, 6, 6, 7, 11, 11, 9, 8, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 6, 7, 7, 6, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 6, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 6, 7, 6, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 6, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 6, 7, 6, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 6, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 6, 7, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 6, 7, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 1, 6, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 3, 3, 1, 1, 5, 1, 2, 1, 2, 1, 7, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 3, 3, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 11993, 1188, 14580, 30, 6204, 30, 3319, 203, 1070, 8527, 32, 525, 1188, 26303, 30, 17874, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 619, 617, 203, 1070, 1288, 26645, 32, 1356, 32, 3543, 1188, 1505, 81, 2714, 81, 2238, 81, 1436, 203, 1070, 1288, 26645, 32, 1356, 32, 1986, 1188, 2361, 81, 3127, 30, 2361, 81, 731, 203, 1070, 1288, 26645, 32, 27680, 1188, 10980, 30, 1401, 81, 1357, 81, 9578, 30, 4125, 81, 678, 81, 2585, 81, 26496, 81, 1071, 203, 1070, 1288, 26645, 32, 3378, 1188, 2680, 4290, 203, 39534, 4758, 51, 2223, 81, 41461, 81, 17143, 280, 8930, 2250, 81, 426, 8129, 203, 39534, 4758, 51, 2223, 81, 9572, 81, 17143, 280, 330, 8653, 731, 81, 823, 111, 729, 109, 731, 81, 965, 46207, 10698, 731, 81, 1436, 3845, 12330, 4564, 203, 50, 1237, 81, 678, 81, 2585, 81, 26496, 81, 1071, 463, 14480, 839, 1062, 683, 203, 50, 2040, 81, 1357, 81, 9578, 203, 589, 4125, 81, 1998, 839, 1062, 81, 26496, 26, 1357, 30, 1256, 81, 3959, 30, 656, 5797, 47, 4858, 26, 2669, 81, 681, 1057, 1548, 1425, 656, 3443, 47, 4858, 26, 1536, 1057, 1998, 839, 1062, 41095, 284, 5383, 280, 622, 81, 6250, 26, 6263, 27, 284, 3361, 280, 622, 81, 1548, 26, 6263, 27, 284, 1505, 81, 2714, 81, 2238, 81, 1436, 26, 496, 81, 3959, 30, 1326, 32, 1580, 30, 4985, 3443, 30, 5383, 30, 3361, 27, 284, 442, 2361, 81, 3127, 346, 203, 589, 622, 81, 6250, 26, 6263, 711, 284, 442, 399, 3900, 4758, 51, 2223, 81, 41461, 81, 17143, 32, 1643, 26, 2250, 81, 426, 47, 6263, 710, 731, 4902, 2250, 4902, 426, 3490, 203, 589, 622, 81, 1548, 26, 6263, 711, 284, 706, 280, 301, 291, 330, 731, 81, 965, 950, 5797, 710, 1998, 839, 1062, 81, 731, 81, 965, 2188, 291, 330, 731, 81, 823, 950, 5797, 710, 731, 4902, 731, 81, 823, 2188, 291, 330, 731, 81, 1436, 950, 5797, 710, 731, 4902, 731, 81, 1436, 2188, 284, 320, 284, 442, 399, 3900, 4758, 51, 2223, 81, 9572, 81, 17143, 32, 1643, 14605, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 1, 2, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 6, 6, 8, 8, 8, 7, 9, 9, 3, 3, 4, 6, 6, 8, 7, 9, 9, 9, 9, 2, 2, 5, 5, 7, 7, 7, 8, 7, 3, 3, 5, 5, 7, 7, 7, 8, 7, 3, 3, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 7, 7, 7, 6, 10, 9, 11, 11, 10, 10, 9, 9, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 5, 5, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 8, 8, 8, 8, 6, 8, 10, 10, 9, 9, 9, 9, 5, 5, 8, 8, 8, 8, 6, 8, 10, 10, 9, 9, 9, 9, 5, 5, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 7, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 9, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 5, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 7, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 0, 0, 1, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 0, 1, 2, 1, 1, 1, 2, 2, 2, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 203, 505, 2559, 32095, 505, 280, 827, 203, 1070, 9991, 32, 3613, 32, 6789, 2121, 1188, 7703, 7233, 203, 1070, 9991, 32, 8524, 32, 3613, 1188, 7841, 30, 25864, 3660, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 25931, 32, 21332, 1188, 49093, 203, 4543, 465, 280, 49093, 3667, 465, 505, 203, 823, 2108, 8381, 35027, 26, 2459, 7233, 711, 284, 665, 894, 81, 1647, 81, 2304, 81, 6390, 81, 19441, 81, 1647, 81, 496, 81, 363, 81, 1363, 26, 784, 711, 291, 645, 28520, 32, 1647, 81, 2304, 1188, 6550, 291, 6550, 1114, 37632, 14507, 81, 12896, 280, 1665, 291, 3860, 280, 6550, 32, 1045, 21581, 2459, 26, 324, 2793, 81, 2285, 47, 2665, 1026, 291, 829, 291, 4395, 81, 4597, 280, 25864, 3660, 346, 291, 4395, 81, 4597, 32, 270, 81, 1890, 280, 225, 34, 291, 4395, 81, 4597, 32, 270, 81, 15946, 280, 225, 34, 291, 623, 7841, 463, 500, 32, 94, 4597, 370, 442, 81, 853, 47, 3613, 81, 4597, 711, 324, 630, 32, 5299, 26, 404, 32, 496, 81, 363, 81, 1363, 3247, 983, 33, 452, 33, 761, 1425, 308, 34, 30, 225, 34, 490, 284, 665, 894, 81, 1647, 81, 2304, 81, 6390, 81, 19441, 81, 1647, 81, 1809, 81, 2944, 81, 1493, 26, 784, 711, 291, 645, 28520, 32, 1647, 81, 2304, 1188, 6550, 291, 6550, 1114, 37632, 14507, 81, 12896, 280, 1665, 291, 3860, 280, 6550, 32, 1045, 21581, 2459, 26, 324, 2793, 81, 2285, 47, 2665, 1026, 291, 829, 291, 665, 617, 3613, 81, 297, 2944, 26, 983, 711, 324, 415, 1519, 610, 323, 18010, 950, 400, 442, 2933, 324, 442, 3177, 291, 623, 7841, 463, 500, 32, 983, 32, 297, 2944, 370, 5209, 81, 7469, 11645, 3613, 81, 297, 2944, 711, 324, 630, 32, 5299, 26, 404, 32, 1809, 81, 2944, 81, 1493, 3247, 2388, 33, 2548, 28224, 45429, 33, 983, 33, 452, 33, 1354, 14500, 1425, 33774, 291, 665, 617, 3613, 81, 297, 2944, 26, 983, 711, 324, 415, 1519, 610, 323, 18010, 43322, 33, 2944, 950, 400, 442, 2933, 324, 415, 1519, 610, 323, 18010, 950, 400, 442, 2933, 324, 442, 3177, 291, 623, 7841, 463, 500, 32, 983, 32, 297, 2944, 370, 5209, 81, 7469, 11645, 3613, 81, 297, 2944, 711, 324, 630, 32, 5299, 26, 404, 32, 1809, 81, 2944, 81, 1493, 3247, 43322, 33, 2944, 33, 983, 33, 452, 33, 1354, 14500, 1425, 3056, 43322, 33, 2944, 683, 284, 665, 894, 81, 1647, 81, 2304, 81, 6390, 81, 19441, 81, 1647, 81, 470, 81, 5632, 81, 325, 81, 23657, 26, 784, 711, 291, 645, 28520, 32, 1647, 81, 2304, 1188, 6550, 291, 6550, 1114, 37632, 14507, 81, 12896, 280, 1665, 291, 3860, 280, 6550, 32, 1045, 21581, 2459, 26, 324, 2793, 81, 2285, 47, 2665, 1026, 291, 829, 291, 630, 32, 5299, 26, 404, 32, 470, 81, 5632, 81, 325, 81, 23657, 3247, 983, 33, 452, 33, 761, 370, 1665, 30, 2933, 471, 2933, 27, 291, 630, 32, 5299, 26, 404, 32, 470 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 3, 3, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 6, 6, 8, 9, 9, 9, 8, 8, 8, 10, 10, 9, 11, 11, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 4, 4, 8, 8, 7, 8, 8, 8, 6, 6, 7, 4, 4, 8, 8, 7, 8, 8, 8, 6, 6, 7, 4, 4, 5, 9, 11, 11, 11, 11, 11, 9, 11, 11, 10, 11, 11, 11, 9, 5, 5, 9, 10, 9, 12, 11, 12, 12, 12, 12, 12, 11, 13, 13, 13, 13, 13, 13, 9, 11, 10, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 6, 6, 8, 9, 9, 9, 8, 8, 8, 10, 10, 9, 11, 11, 8, 8, 4, 4, 5, 6, 6, 6, 6, 6, 7, 6, 5, 5, 7, 8, 8, 10, 10, 7, 7, 9, 6, 6, 7, 4, 4, 5, 9, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 10, 11, 11, 11, 11, 9, 5, 5, 9, 10, 9, 12, 11, 12, 12, 12, 12, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 9, 4, 4, 5, 6, 6, 6, 6, 6, 7, 6, 5, 5, 7, 8, 8, 10, 10, 10, 10, 10, 7, 7, 9, 6, 6, 7, 8, 8, 10, 10, 7, 7, 9, 6, 6, 7, 4, 4, 5, 9, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 10, 11, 11, 11, 11, 9, 5, 5, 9, 10, 9, 12, 11, 12, 12, 12, 12, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 9, 11, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 6, 6, 8, 9, 9, 9, 8, 8, 8, 10, 10, 9, 11, 11, 8, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 9, 9, 9, 9, 7, 7, 4, 4, 7, 8, 7, 10, 9, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 4, 4, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 3, 3, 0, 0, 4, 4, 1, 2, 2, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 6, 6, 1, 1, 2, 1, 1, 2, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 6, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 6, 6, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 0, 2, 0, 0, 0, 4, 4, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 4, 4, 1, 1, 1, 0, 2, 1, 1, 0, 4, 4, 2, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 2, 1, 6, 6, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2 ]
[ 1070, 26790, 1188, 4125, 203, 465, 2322, 203, 465, 22977, 203, 1070, 26790, 1188, 9612, 203, 3624, 280, 225, 42, 34, 34, 34, 203, 12146, 81, 2474, 280, 330, 2209, 476, 25, 203, 14867, 81, 7789, 280, 2322, 32, 983, 32, 7781, 4064, 761, 8223, 203, 12784, 81, 7789, 280, 2322, 32, 983, 32, 7781, 26, 14867, 81, 7789, 27, 203, 7143, 81, 4065, 280, 2322, 32, 983, 32, 2524, 26, 14867, 81, 7789, 30, 330, 2209, 476, 683, 203, 40358, 81, 4065, 280, 46338, 687, 33, 3141, 716, 5263, 34, 16054, 1643, 26, 12146, 81, 2474, 27, 203, 40358, 81, 4065, 280, 2322, 32, 983, 32, 8931, 496, 26, 40358, 81, 4065, 27, 203, 589, 1505, 81, 7676, 81, 8604, 2262, 284, 442, 1505, 81, 7676, 26, 291, 1695, 81, 4116, 1057, 1287, 7598, 267, 19282, 34359, 32, 933, 32, 716, 683, 203, 589, 1505, 81, 7676, 26, 965, 20183, 2209, 476, 370, 3642, 1057, 525, 370, 1695, 81, 4116, 347, 5007, 10280, 284, 1695, 81, 965, 280, 8930, 35, 111, 45268, 34, 10696, 2473, 1643, 26, 1439, 81, 4116, 30, 3642, 27, 284, 2601, 280, 596, 1162, 3624, 415, 1695, 81, 4116, 610, 330, 5007, 25, 813, 225, 42, 34, 490, 284, 1984, 280, 1695, 81, 965, 474, 2601, 474, 1984, 284, 4774, 280, 308, 291, 313, 1840, 1553, 769, 5538, 313, 291, 7915, 3617, 31, 31380, 769, 38545, 31, 6173, 313, 291, 7915, 2024, 2676, 1553, 7788, 284, 4774, 280, 4774, 474, 1984, 284, 4125, 32, 1696, 26, 3515, 27, 284, 1188, 2676, 7128, 284, 2676, 7128, 32, 1676, 440, 761, 45268, 34, 3188, 3371, 7676, 32, 916, 2296, 1643, 26, 291, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 330, 1840, 1553, 7404, 2610, 284, 442, 284, 665, 3185, 81, 4446, 26, 4446, 711, 291, 1459, 9612, 32, 1092, 463, 23808, 7324, 28601, 291, 7324, 280, 428, 106, 32, 3227, 26, 965, 30, 9142, 77, 35, 10056, 436, 816, 328, 5430, 79, 291, 436, 2552, 328, 7324, 44, 324, 1459, 9612, 32, 1092, 26, 1204, 27, 324, 623, 4125, 32, 22290, 2262, 38042, 1288, 280, 4125, 32, 1696, 26, 528, 313, 1809, 301, 34, 111, 429, 426, 17969, 954, 110, 106, 1132, 14173, 8930, 35, 8129, 2296, 1643, 26, 14867, 81, 7789, 30, 2552, 471, 12847, 47, 1815, 27, 400, 415, 1288, 32, 47655, 44, 528, 1459, 596, 26, 108, 27, 400, 813, 44, 528, 1459, 313, 21685, 646, 2290, 1346, 10392, 20, 324, 1459, 284, 47149, 280, 313, 1204, 81, 1553, 32, 751, 20, 284, 1695, 81, 965, 280, 330, 525, 45268, 34, 10696, 2473, 1643, 26, 1439, 81, 4116, 27, 284, 2601, 280, 596, 1162, 3624, 415, 1695, 81, 4116, 610, 330, 5007, 25, 813, 225, 42, 34, 490, 284, 1984, 280, 1695, 81, 965, 474, 2601, 474, 1984, 284, 341, 6041, 81, 38364, 280, 9254, 44, 4125, 32, 1696, 463, 3925, 429, 88, 10698, 34, 3845, 2473, 1643, 26, 38364, 490, 284, 341, 6041, 81, 38364, 346, 284, 623, 4125, 32, 3550, 26, 8447, 81, 2585, 47, 1815, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 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, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 4, 6, 6, 6, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 5, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 5, 4, 5, 5, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 5, 5, 5, 5, 5, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 4, 3, 5, 5, 5, 2, 3, 5, 5, 2, 4, 4, 3, 5, 5, 1, 1, 5, 5, 4, 4, 8, 8, 8, 8, 8, 8, 7, 6, 7, 7, 7, 6, 6, 6, 2, 2, 4, 4, 6, 9, 8, 8, 10, 10, 9, 9, 11, 11, 8, 8, 9, 9, 7, 2, 2, 4, 4, 7, 7, 6, 6, 5, 5, 2, 2, 4, 4, 5, 5, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 2, 2, 4, 4, 5, 5, 2, 2, 5, 6, 5, 6, 5, 2, 2, 3, 5, 2, 2, 6, 5, 6, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 7, 10, 11, 9, 10, 9, 13, 12, 13, 11, 12, 11, 12, 12, 9, 11, 11, 11, 9, 2, 2, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 9, 9, 9, 4, 4, 6, 6, 11, 10, 11, 10, 11, 10, 10, 8, 10, 9, 7, 8, 8, 8, 7, 4, 4, 5, 5, 5, 5, 5, 5, 7, 9, 10, 9, 10, 9, 6, 6, 7, 11, 12, 11, 7, 7, 10, 10, 12, 13, 12, 12, 12, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 15, 14, 15, 15, 15, 14, 14, 14, 12, 13, 14, 12, 8, 8, 9, 10, 11, 9, 9, 9, 11, 13, 14, 13, 9, 9, 10, 10, 10, 12, 14, 14, 14, 14, 14, 14, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 8, 8, 8, 8, 8, 7, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 9, 8, 8, 10, 10, 9, 9, 11, 11, 8, 8, 9, 9, 7, 2, 2, 4, 4, 7, 7, 6, 6, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 7, 8, 7, 11, 11, 11, 11, 11, 11, 11, 10, 9, 10, 9, 2, 2, 5, 5, 5, 5, 2, 2, 3, 7, 8, 7, 9, 9, 9, 8, 9, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 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, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 1, 1, 2, 11, 11, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 12, 12, 1, 1, 2, 0, 1, 1, 1, 2, 2, 3, 1, 2, 2, 0, 0, 5, 1, 2, 12, 12, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 4, 4, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 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, 4, 4, 0, 0, 2, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 6, 0, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 4, 4, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 5, 5, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 3, 3, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 1, 2, 5, 5, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 4, 4, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 4, 4, 16, 0, 2, 1, 0, 0, 0, 1, 2, 1 ]
[ 465, 6436, 619, 2065, 203, 1070, 18414, 1188, 22508, 203, 1070, 13134, 32, 6173, 101, 32, 25931, 32, 21332, 1188, 8529, 203, 1070, 13134, 32, 2304, 32, 4266, 1188, 1201, 81, 16708, 203, 1070, 13134, 32, 2304, 32, 4266, 1188, 1201, 81, 2228, 203, 1070, 13134, 32, 2304, 32, 4266, 1188, 1201, 81, 1870, 203, 1070, 13134, 32, 2304, 32, 4266, 1188, 1201, 81, 1508, 203, 1070, 13134, 32, 2304, 32, 4266, 1188, 1201, 81, 955, 81, 2228, 203, 1070, 13134, 32, 2304, 32, 4266, 1188, 1201, 81, 955, 81, 37368, 81, 2228, 203, 1070, 13134, 32, 1439, 1188, 3772, 38469, 30, 7892, 203, 1070, 13134, 32, 9247, 1188, 18475, 30, 8560, 14185, 30, 1930, 81, 9247, 30, 1930, 81, 13304, 203, 1070, 13134, 32, 33638, 1188, 358, 8401, 203, 1070, 13134, 32, 8362, 81, 1160, 1188, 2662, 5401, 15201, 203, 1070, 13134, 32, 8362, 81, 1160, 1188, 13935, 15201, 203, 1070, 13134, 32, 3274, 81, 8319, 1188, 6608, 12593, 445, 30, 296, 81, 823, 325, 203, 1070, 13134, 32, 286, 20103, 1188, 40631, 30, 9500, 1191, 44844, 30, 1565, 13209, 6004, 54, 203, 1070, 13134, 32, 15183, 1188, 2454, 81, 29051, 203, 1070, 13134, 32, 32370, 1188, 9276, 34719, 203, 1070, 13134, 32, 3274, 81, 46212, 32, 878, 1188, 9618, 2863, 2265, 203, 60, 22756, 81, 1362, 5455, 81, 22543, 280, 308, 284, 313, 1382, 47630, 47630, 44009, 5539, 392, 284, 313, 1382, 47630, 23598, 873, 44009, 5539, 392, 284, 313, 1382, 322, 47630, 44009, 44009, 5539, 392, 284, 313, 1382, 23598, 873, 44009, 44009, 5539, 392, 284, 313, 1382, 2098, 479, 23598, 873, 2098, 479, 5539, 392, 284, 313, 1382, 2098, 479, 23598, 873, 23598, 873, 392, 203, 27, 203, 823, 6355, 5405, 70, 26, 1761, 38469, 711, 284, 665, 1156, 1664, 3207, 784, 30, 312, 47, 2521, 30, 323, 47, 2521, 711, 291, 630, 32, 83, 280, 312, 291, 630, 32, 84, 280, 323, 203, 823, 394, 26, 27124, 70, 711, 284, 665, 8157, 26, 784, 30, 1593, 30, 533, 711, 291, 442, 630, 203, 823, 3556, 88, 70, 26, 70, 711, 284, 665, 4522, 26, 784, 30, 1593, 30, 533, 47, 2521, 711, 291, 442, 1593, 203, 823, 30676, 3180, 70, 26, 1761, 38469, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 21782, 280, 3177, 291, 3097, 284, 665, 8157, 26, 784, 30, 1593, 30, 533, 30, 1395, 81, 15832, 6351, 47, 2700, 711, 291, 630, 32, 21782, 280, 1395, 81, 15832, 6351, 284, 665, 10618, 26, 784, 30, 1593, 711, 291, 442, 630, 32, 21782, 203, 589, 894, 81, 9247, 81, 1664, 2262, 284, 1201, 81, 16708, 26, 18082, 30, 18475, 27, 284, 13531, 280, 1201, 81, 16708, 26, 18082, 30, 18475, 30, 41449, 15762, 370, 6355, 5405, 70, 14829, 284, 38498, 280, 394, 346, 284, 13531, 280, 18475, 2009, 463, 15762, 370, 38498, 14829, 284, 1201, 81, 2228, 26, 7413, 32, 371, 81, 2132, 26, 8327, 47, 1815, 471, 353, 5436, 26, 15762, 505, 83, 47, 2521, 30, 26393, 505, 84, 47, 2521, 30, 26393, 47, 25371, 490, 284, 13531, 32, 470, 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, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 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, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 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, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 7, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 6, 5, 5, 5, 2, 2, 4, 4, 6, 6, 6, 7, 6, 6, 6, 6, 10, 10, 8, 9, 9, 8, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 8, 10, 10, 8, 8, 2, 2, 5, 5, 5, 8, 7, 8, 8, 8, 7, 9, 8, 9, 7, 5, 5, 7, 9, 9, 9, 8, 9, 7, 7, 9, 9, 8, 9, 7, 7, 8, 9, 7, 2, 2, 5, 6, 6 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 4, 1, 6, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 0, 0, 0, 0, 9, 9, 1, 2, 9, 9, 0, 9, 9, 0, 10, 10, 1, 2, 10, 10, 10, 10, 0, 10, 10, 0, 0, 10, 10, 0, 0, 0, 11, 11, 1, 2, 11, 11, 0, 0, 12, 12, 1, 2, 2, 2, 12, 12, 0, 0, 0, 13, 13, 1, 2, 2, 2, 13, 13, 0, 0, 14, 14, 1, 2, 2, 2, 14, 14, 0, 0, 14, 14, 0, 0, 0, 0, 15, 15, 1, 2, 2, 15, 15, 15, 15, 0, 0, 15, 15, 0, 0, 0, 0, 16, 16, 1, 2, 16, 16, 0, 0, 0, 17, 17, 1, 2, 17, 17, 0, 0, 18, 18, 1, 2, 2, 2, 1, 4, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 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, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 20, 20, 1, 1, 2, 1, 1, 2, 20, 20, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 21, 21, 2, 1, 1, 2, 21, 21, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 22, 22, 1, 1, 2, 1, 2, 22, 22, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 23, 23, 1, 1, 2, 1, 1, 2, 23, 23, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 7, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 24, 24, 1, 1, 1, 1, 2, 24, 24, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 0, 1, 4, 4, 0, 0, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 2, 2 ]
[ 465, 19493, 203, 465, 7744, 203, 465, 2192, 203, 1070, 13625, 1188, 636, 41766, 30, 23507, 203, 465, 1133, 203, 1270, 44, 284, 3777, 40587, 280, 1133, 32, 1211, 40587, 203, 7343, 308, 2212, 924, 30, 29986, 711, 10065, 3777, 40587, 280, 1133, 32, 1003, 203, 8055, 81, 4409, 280, 308, 35, 1264, 225, 34, 27, 203, 8055, 81, 3214, 280, 308, 35, 1264, 225, 35, 27, 203, 21415, 81, 4620, 280, 2933, 261, 203, 81, 35695, 81, 22287, 521, 2146, 280, 1300, 346, 261, 203, 823, 27556, 924, 26, 984, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1137, 687, 711, 291, 2599, 26, 4439, 924, 30, 630, 14585, 1664, 16369, 291, 630, 32, 12864, 280, 1137, 687, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 3778, 4439, 924, 19493, 1279, 34, 4872, 2296, 1643, 26, 784, 32, 12864, 27, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 630, 3667, 13707, 16369, 203, 589, 617, 761, 2067, 81, 452, 81, 2995, 26, 761, 2067, 711, 284, 415, 6937, 26, 761, 2067, 30, 629, 711, 291, 9899, 280, 803, 2067, 284, 813, 44, 291, 1596, 44, 324, 9899, 280, 629, 26, 761, 2067, 32, 5039, 7888, 1157, 291, 2940, 308, 2212, 924, 30, 12678, 30, 10091, 711, 324, 3636, 10091, 440, 3817, 803, 1300, 44, 301, 34, 19, 100, 16054, 1643, 26, 761, 2067, 490, 284, 415, 9899, 333, 225, 34, 44, 291, 3636, 10091, 440, 3817, 803, 9866, 44, 301, 34, 16054, 1643, 26, 2995, 490, 284, 442, 9899, 203, 589, 617, 22475, 81, 5098, 26, 1298, 30, 316, 10261, 81, 5457, 30, 319, 1132, 30, 1115, 5321, 711, 284, 5868, 280, 10306, 32, 371, 440, 5457, 392, 1665, 27, 284, 415, 5868, 438, 1665, 44, 291, 23192, 280, 1665, 291, 316, 10261, 81, 5457, 280, 3177, 284, 813, 44, 291, 5868, 280, 1897, 26, 5457, 27, 291, 415, 5868, 333, 225, 34, 32, 34, 44, 23688, 23192, 280, 1665, 291, 813, 44, 324, 23192, 280, 3777, 40587, 346, 474, 5868, 284, 2181, 280, 1149, 26, 1132, 27, 284, 415, 316, 10261, 81, 5457, 461, 313, 5457, 20, 646, 328, 10306, 44, 291, 3636, 10091, 26, 324, 313, 4276, 2298, 526, 328, 2181, 556, 10306, 372, 526, 316, 38661, 657, 284, 1056, 280, 617, 35695, 81, 22287, 521, 2146, 284, 2218, 1056, 438, 617, 35695, 81, 22287, 521, 2146, 44, 291, 1596, 44, 324, 1056, 280, 3420, 2740, 1132, 30, 1115, 5321, 27, 291, 2940, 308, 65, 21887, 30, 45338, 30, 2192, 32, 731, 27, 619, 484, 44, 324, 1137, 687, 280, 1665, 324, 415, 19326, 26, 87, 30, 313, 12864, 10280, 400, 1137, 687, 280, 484, 32, 12864, 324, 4348, 19326, 26, 87, 30, 313, 1132, 10280, 400, 1137, 687, 280, 484, 32, 1132, 77, 34, 79, 324, 438, 81, 15346, 280, 308, 48026, 610, 19493, 32, 55, 21737, 556, 308, 2040, 2437, 26, 12864, 30, 313, 73, 3551, 55, 21737, 657, 461, 22622, 1137, 687, 610, 19493, 32, 73, 3551, 55, 21737, 490, 324, 415, 438, 81, 15346, 44, 400, 415, 23192, 438, 646, 1665, 44, 528 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 5, 4, 4, 5, 6, 6, 1, 2, 2, 4, 4, 3, 3, 3, 2, 2, 6, 5, 5, 6, 7, 0, 3, 3, 3, 2, 2, 5, 4, 4, 5, 3, 0, 3, 3, 3, 2, 2, 5, 4, 4, 5, 3, 0, 3, 3, 3, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 0, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 9, 9, 9, 9, 9, 9, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 5, 6, 6, 5, 5, 5, 3, 3, 6, 6, 7, 3, 3, 4, 4, 4, 6, 6, 6, 9, 9, 11, 14, 14, 13, 14, 14, 13, 6, 6, 7, 9, 9, 8, 8, 8, 8, 8, 7, 7, 9, 11, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 13, 14, 14, 13, 2, 2, 3, 4, 4, 5, 3, 3, 3, 5, 7, 11, 11, 11, 11, 11, 11, 11, 10, 9, 10, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 2, 2, 4, 2, 2, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 6, 6, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 4, 4, 7, 7, 7, 6, 6, 3, 3, 4, 4, 4, 7, 7, 9, 10, 9, 5, 5, 6, 7, 7, 8, 8, 8, 6, 6, 6, 9, 9, 6, 6, 7, 7, 7, 10, 10, 13, 13, 11, 11, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 5, 5, 5, 4, 4, 7, 7, 5, 5, 5, 3, 3, 3, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 8, 8, 10, 12, 10, 10, 12, 10, 5, 5, 6, 9, 9, 8, 8, 8, 8, 9, 10, 8, 7, 7, 6, 6, 6, 10, 9, 9, 7, 7, 8, 10, 11, 10, 10, 12, 12, 8, 8, 12, 11, 11, 12, 13, 8, 8, 9, 11, 12, 11, 11, 13, 13, 9, 9, 13, 12, 12, 14, 15, 13, 14, 13, 7, 7, 10, 10, 9, 9, 13, 12, 12, 13, 14, 14, 11, 11, 15, 15, 15, 16, 15, 15, 17, 17, 17, 17, 17, 13, 13, 13, 15, 14, 14, 15, 16, 16, 16, 16, 12, 7, 7, 8, 9, 9, 8, 8, 8, 10, 11, 11, 11, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 0, 0, 2, 2, 2, 5, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 10, 10, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 2, 2, 3, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 11, 11, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 11, 11, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 2, 0, 12, 12, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 2, 1, 2, 2, 1, 2, 12, 12, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 0, 0, 0, 0, 0, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 4, 4, 4, 0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 3, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 4, 4, 5, 1, 1, 2, 2, 2, 2, 2, 5, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 0, 0, 0, 0, 5, 2, 0, 1, 1, 3, 3, 3, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 4, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 0, 0 ]
[ 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 540, 9592, 203, 1559, 203, 1647, 44, 8888, 81, 761, 81, 1648, 203, 1648, 81, 11043, 44, 313, 36, 32, 35, 20, 203, 4021, 81, 2310, 44, 1390, 29009, 556, 2783, 55, 803, 1968, 1503, 203, 2310, 44, 334, 429, 1390, 29009, 556, 2783, 55, 803, 1968, 1503, 32, 203, 8886, 44, 334, 429, 1348, 2297, 1098, 5182, 442, 1289, 1539, 32, 203, 2184, 44, 334, 1519, 44, 284, 3048, 44, 397, 429, 2032, 372, 622, 1503, 32, 397, 429, 25144, 2355, 7976, 1519, 32, 284, 2129, 44, 9155, 203, 2116, 44, 203, 31, 26144, 8092, 103, 11931, 28984, 3761, 103, 41, 43, 27, 203, 9592, 203, 1460, 39189, 280, 540, 9592, 203, 31, 636, 44, 1390, 1430, 95, 1980, 1503, 334, 8888, 81, 761, 81, 1648, 44, 284, 1519, 44, 390, 3491, 2839, 78, 1598, 37, 36, 78, 3515, 32, 8022, 334, 3909, 44, 30150, 81, 761, 81, 1648, 203, 31, 4588, 44, 284, 3124, 44, 23728, 30150, 81, 761, 81, 1648, 2038, 25, 203, 9592, 203, 10934, 280, 540, 9592, 203, 4463, 81, 761, 81, 1648, 32, 983, 44, 334, 3048, 44, 803, 1519, 334, 4717, 44, 5182, 334, 827, 44, 802, 203, 4463, 81, 761, 81, 1648, 32, 761, 81, 1648, 44, 334, 3048, 44, 803, 1503, 1451, 32, 334, 4717, 44, 1289, 1048, 334, 827, 44, 802, 203, 4463, 81, 761, 81, 1648, 32, 2445, 81, 1648, 44, 334, 3048, 44, 322, 1503, 432, 322, 4054, 458, 803, 438, 2728, 623, 32, 334, 4717, 44, 1289, 1048, 334, 827, 44, 802, 203, 4463, 81, 761, 81, 1648, 32, 761, 81, 13147, 81, 2050, 44, 334, 3048, 44, 322, 12350, 1742, 432, 322, 1503, 1451, 32, 334, 4717, 44, 1289, 1048, 334, 827, 44, 802, 203, 4463, 81, 761, 81, 1648, 32, 761, 81, 17765, 81, 2050, 44, 334, 3048, 44, 322, 14887, 1742, 432, 322, 1503, 1451, 432, 322, 803, 32, 334, 4717, 44, 1289, 1048, 334, 827, 44, 802, 203, 4463, 81, 761, 81, 1648, 32, 761, 81, 1832, 81, 2050, 44, 334, 3048, 44, 1968, 1451, 432, 322, 803, 32, 334, 4717, 44, 1289, 1048, 334, 827, 44, 802, 203, 4463, 81, 761, 81, 1648, 32, 761, 81, 2055, 81, 2050, 44, 334, 3048, 44, 803, 945, 1742, 1451, 32, 334, 4717, 44, 1289, 1048, 334, 827, 44, 802, 203, 9592, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 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, 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, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 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, 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, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 1070, 996, 23239, 1188, 13489, 203, 1070, 34856, 1188, 7596, 203, 1070, 34856, 1188, 22223, 203, 1070, 34856, 1188, 341, 25673, 203, 1070, 34856, 32, 1237, 32, 26878, 1188, 4942, 203, 1070, 34856, 32, 1237, 32, 26878, 1188, 18830, 101, 203, 823, 6926, 26, 2282, 32, 2961, 3034, 1917, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 7924, 81, 1237, 280, 7596, 32, 2554, 346, 291, 2599, 26, 1917, 30, 630, 14585, 1664, 16369, 284, 665, 617, 371, 81, 4519, 26, 784, 30, 1619, 30, 2145, 81, 314, 711, 291, 5035, 280, 630, 32, 7924, 81, 1237, 32, 371, 81, 2386, 81, 4519, 26, 1819, 30, 2145, 81, 314, 27, 291, 6089, 81, 2665, 280, 2149, 291, 436, 1202, 30, 786, 328, 5035, 32, 40957, 2262, 324, 6089, 81, 2665, 77, 678, 79, 280, 786, 291, 442, 5436, 26, 4519, 47, 2859, 81, 2665, 27, 284, 665, 1650, 26, 784, 30, 3616, 30, 2145, 81, 314, 711, 291, 1619, 280, 3616, 32, 12757, 710, 31205, 32, 1819, 785, 291, 442, 630, 1114, 371, 81, 4519, 26, 1819, 30, 2145, 81, 314, 27, 284, 665, 1487, 26, 784, 30, 3616, 30, 2145, 81, 314, 711, 291, 1619, 280, 3616, 32, 12757, 710, 31205, 32, 1819, 785, 291, 706, 280, 630, 1114, 17012, 26, 2403, 32, 1548, 30, 3616, 32, 371, 81, 1286, 81, 681, 1157, 291, 5035, 280, 706, 32, 371, 463, 4519, 683, 291, 1596, 44, 324, 630, 32, 7924, 81, 1237, 32, 1877, 81, 271, 81, 1297, 81, 2386, 81, 4519, 26, 1819, 30, 13795, 2145, 81, 314, 30, 13795, 5035, 27, 291, 2940, 22223, 32, 18428, 924, 619, 1048, 44, 324, 630, 1114, 2956, 81, 25741, 81, 731, 26, 731, 27, 291, 442, 3616, 32, 1548, 284, 665, 1974, 26, 784, 30, 3616, 30, 2145, 81, 314, 30, 804, 711, 291, 1619, 280, 3616, 32, 12757, 710, 31205, 32, 1819, 785, 291, 3361, 280, 630, 1114, 17012, 26, 2403, 32, 1548, 30, 3616, 32, 371, 81, 1286, 81, 681, 1157, 291, 415, 646, 804, 328, 3361, 44, 324, 23410, 280, 30121, 1104, 3361, 461, 7412, 22384, 683, 324, 3636, 13489, 32, 5068, 19349, 26, 44298, 47, 327, 557, 27, 291, 415, 2069, 26, 1548, 27, 848, 225, 35, 44, 324, 23410, 280, 30121, 1104, 3361, 4304, 5133, 5075, 3946, 683, 324, 3636, 13489, 32, 5068, 19349, 26, 44298, 47, 327, 557, 27, 291, 1596, 44, 324, 630, 32, 7924, 81, 1237, 32, 1877, 81, 271, 81, 1297, 81, 2386, 81, 4519, 26, 1819, 30, 13795, 2145, 81, 314, 30, 13795, 3361, 27, 291, 2940, 22223, 32, 18428, 924, 619, 1048, 44, 324, 630, 1114, 2956, 81, 25741, 81, 731, 26, 731, 27, 291, 442, 3616, 32, 1548, 284, 665, 2519, 26, 784, 30, 3616, 30, 2145, 81, 314, 30, 804, 711, 291, 1619, 280, 3616, 32, 12757, 710, 31205, 32, 1819, 785, 291, 706, 280, 630, 1114, 371, 81, 4519, 26, 1819, 30, 2145, 81, 314, 27, 291, 415, 804, 328, 706, 710, 4519, 12132, 324, 442, 301, 314, 44, 706, 710, 4519, 8150, 314, 6653, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 8, 4, 4, 9, 10, 9, 9, 9, 8, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 4, 4, 5, 6, 6, 5, 5, 7, 8, 7, 5, 5, 10, 10, 9, 10, 9, 8, 8, 4, 4, 5, 7, 9, 8, 9, 9, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 6, 6, 8, 9, 7, 9, 9, 9, 9, 4, 4, 5, 7, 8, 8, 8, 7, 8, 7, 7, 8, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 6, 6, 8, 9, 7, 9, 9, 9, 9, 4, 4, 6, 6, 8, 9, 8, 10, 9, 10, 8, 8, 10, 11, 11, 11, 11, 11, 10, 4, 4, 6, 6, 8, 9, 8, 10, 10, 4, 4, 5, 5, 5, 10, 11, 11, 11, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 9, 9, 10, 10, 9, 9, 9, 9, 5, 5, 6, 8, 9, 9, 7, 7, 6, 6, 6, 10, 11, 11, 11, 11, 11, 10, 11, 10, 4, 4, 5, 6, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 7, 9, 9, 9, 9, 4, 4, 6, 6, 8, 9, 8, 10, 9, 10, 8, 8, 10, 11, 11, 11, 11, 11, 10, 4, 4, 5, 6, 7, 7, 5, 5, 5, 8, 8, 12, 12, 12, 12, 12, 12, 6, 6, 7, 9, 10, 10, 9, 11, 10, 11, 11, 9, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 8, 8, 12, 12, 12, 12, 12, 12, 12, 6, 6, 7, 9, 10, 10, 9, 11, 10, 11, 11, 9, 4, 4, 5, 5, 5, 10, 11, 11, 11, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 9, 9, 10, 10, 9, 9, 9, 9, 5, 5, 6, 8, 9, 9, 7, 7, 6, 6, 6, 10, 11, 11, 11, 11, 11, 10, 11, 10, 4, 4, 5, 6, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 7, 9, 9, 9, 9, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 4, 4, 5, 6, 6, 7, 9, 9, 5, 5, 7, 10, 9, 9, 11, 13, 13, 11, 10, 5 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 2, 0, 1, 2, 2, 2, 2, 6, 6, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 4, 4, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 4, 4, 3, 1, 0, 1, 2, 2, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 3, 2, 1, 2, 2, 2, 2, 5, 5, 2, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 3, 3, 3, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 3, 0, 2, 2, 1, 1, 3, 3, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 4, 1, 2, 4, 4, 4, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 4, 4, 4, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 4, 4, 3, 0, 2, 2, 1, 1, 3, 3, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 5, 1, 2, 4, 4, 5, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 5, 5, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2 ]
[ 505, 13411, 505, 280, 1524, 22, 14022, 22, 2993, 77, 35, 35, 5979, 36, 79, 203, 1070, 15894, 1199, 32, 3779, 1188, 1156, 1648, 7642, 1503, 81, 1338, 30, 1156, 2116, 505, 203, 465, 617, 7534, 203, 325, 1503, 81, 1338, 863, 617, 7534, 32, 1648, 81, 1338, 44, 284, 3636, 29986, 440, 578, 438, 15894, 1199, 1503, 904, 101, 30, 1273, 617, 7534, 438, 1503, 904, 100, 20, 904, 2855, 308, 1648, 81, 1338, 30, 617, 7534, 32, 1648, 81, 1338, 490, 203, 10459, 21732, 280, 225, 35, 203, 368, 414, 1203, 280, 313, 36, 32, 34, 20, 203, 753, 1621, 280, 313, 1643, 20, 203, 1070, 617, 7534, 1188, 319, 203, 1070, 15894, 1199, 32, 9777, 1188, 35998, 81, 2319, 203, 1070, 15894, 1199, 32, 5571, 1188, 2821, 30, 3717, 30, 18378, 30, 766, 284, 2821, 1792, 18716, 30, 3717, 1792, 18716, 30, 18378, 1792, 18716, 203, 1270, 44, 284, 20073, 470, 203, 7343, 3270, 924, 44, 284, 645, 6900, 1188, 12932, 885, 619, 20073, 470, 203, 823, 4581, 2554, 885, 26, 30480, 470, 711, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 415, 6937, 26, 2455, 30, 4581, 2554, 885, 711, 324, 442, 646, 630, 32, 21034, 26, 2455, 27, 291, 442, 1604, 328, 630, 203, 5203, 264, 280, 4581, 2554, 885, 2009, 6447, 81, 2319, 32, 18570, 30, 35998, 81, 2319, 32, 5203, 30, 3486, 35998, 81, 2319, 32, 7416, 81, 5203, 1130, 203, 17905, 264, 280, 4581, 2554, 885, 2009, 6447, 81, 2319, 32, 31387, 30, 35998, 81, 2319, 32, 10129, 81, 31387, 30, 3486, 35998, 81, 2319, 32, 41338, 81, 31387, 30, 35998, 81, 2319, 32, 30201, 75, 81, 31387, 1130, 203, 10463, 264, 280, 4581, 2554, 885, 2009, 6447, 81, 2319, 32, 37607, 30, 35998, 81, 2319, 32, 15781, 30, 35998, 81, 2319, 32, 10301, 30, 3486, 35998, 81, 2319, 32, 1844, 36, 38, 30, 35998, 81, 2319, 32, 10129, 30, 35998, 81, 2319, 32, 42323, 2060, 5579, 30, 3486, 35998, 81, 2319, 32, 30201, 75, 30, 35998, 81, 2319, 32, 23164, 1130, 203, 5241, 647, 280, 4581, 2554, 885, 2009, 6447, 81, 2319, 32, 5241, 30, 35998, 81, 2319, 32, 11356, 5241, 1130, 203, 4804, 647, 280, 4581, 2554, 885, 2009, 6447, 81, 2319, 32, 4804, 1130, 203, 14880, 280, 4581, 2554, 885, 2009, 6447, 81, 2319, 32, 14880, 30, 35998, 81, 2319, 32, 31141, 1130, 203, 31141, 225, 280, 38203, 203, 9317, 779, 262, 280, 4581, 2554, 885, 346, 203, 589, 894, 81, 1996, 2554, 885, 81, 470, 81, 34939, 2262, 284, 1201, 19397, 610, 19397, 203, 589, 894, 81, 1996, 2554, 885, 81, 470, 81, 482, 13730, 2262, 284, 1201, 19397, 863, 23801, 203, 589, 894, 81, 1996, 2554, 885, 81, 470, 81, 34939, 81, 24912, 2262, 284, 1201, 35998, 81, 2319, 32, 7416, 81, 5203, 610, 19397, 203, 589, 894, 81, 1996, 2554, 885, 81, 470, 81, 482, 13730, 81, 24912, 2262, 284, 1201, 35998, 81, 2319, 32, 5241, 863, 19397, 203, 589, 13312, 26, 106, 711, 284, 442, 596, 26, 106, 27, 203, 589, 11732, 2740, 1132, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 4, 6, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 2, 2, 4, 3, 4, 4, 4, 1, 1, 1, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 7, 7, 9, 8, 9, 9, 9, 7, 0, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 4, 1, 2, 2, 3, 2, 2, 2, 4, 4, 4, 7, 5, 5, 6, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 8, 8, 7, 5, 5, 7, 8, 10, 11, 10, 11, 10, 4, 4, 5, 6, 6, 0, 3, 2, 2, 2, 4, 4, 4, 7, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 5, 5, 7, 7, 6, 7, 7, 7, 5, 0, 3, 2, 2, 2, 4, 4, 4, 7, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 7, 7, 5, 5, 5, 7, 7, 6, 7, 7, 7, 5, 5, 7, 7, 6, 7, 7, 7, 7, 5, 0, 3, 2, 2, 2, 4, 4, 4, 7, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 5, 5, 7, 7, 6, 7, 7, 7, 5, 5, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 7, 7, 5, 5, 5, 7, 7, 6, 7, 7, 5, 5, 7, 7, 6, 7, 5, 0, 3, 2, 2, 2, 4, 4, 4, 7, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 7, 5, 0, 3, 2, 2, 2, 4, 4, 4, 7, 7, 7, 6, 7, 5, 0, 3, 2, 2, 4, 4, 4, 7, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 0, 3, 2, 2, 2, 0, 3, 3, 2, 2, 2, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 6, 6, 5, 6, 6, 6, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 6, 6, 5, 6, 4, 4, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 6, 5, 0, 1, 1, 2, 4, 2 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 3, 3, 0, 0, 1, 1, 0, 2, 2, 2, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 9, 9, 0, 1, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 10, 10, 10, 10, 0, 10, 3, 3, 1, 3, 3, 3, 0, 0, 0, 0, 3, 3, 2, 0, 11, 11, 1, 1, 2, 1, 1, 2, 11, 11, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 0, 0, 7, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 0, 0, 9, 2, 1, 1, 0, 0, 11, 2, 2, 2, 1, 1, 1, 0, 0, 13, 2, 2, 1, 1, 0, 0, 15, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 20, 20, 1, 1, 1, 1, 1, 1, 1, 1, 2, 20, 20, 0, 1, 1, 0, 21, 21, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 21, 21, 0, 1, 1, 0, 22, 22, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 22, 22, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 23, 23, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 23, 23, 0, 0, 0, 0, 2, 1, 1, 0, 24, 24, 2, 1, 2, 24, 24, 0, 1, 1, 1, 0, 25, 25, 2, 1, 2 ]
[ 1070, 7138, 1188, 7138, 203, 1070, 11171, 1188, 11171, 38, 203, 465, 3619, 10185, 203, 1070, 1542, 81, 2304, 1188, 5692, 12147, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 2194, 34747, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 7147, 1188, 13564, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 203, 1070, 8527, 81, 23819, 32, 4151, 1188, 25243, 1176, 203, 1070, 8527, 81, 3647, 81, 2282, 32, 28771, 1188, 308, 284, 3664, 81, 4524, 30, 284, 3664, 81, 42981, 30, 284, 3664, 81, 11965, 30, 284, 3664, 81, 104, 14192, 30, 284, 5093, 81, 4524, 30, 284, 5093, 81, 42981, 30, 284, 5093, 81, 11965, 30, 284, 5093, 81, 104, 14192, 30, 284, 5093, 81, 5445, 1246, 203, 27, 203, 1070, 816, 1647, 81, 11025, 32, 3378, 1188, 22509, 953, 1176, 203, 1070, 4527, 32, 1160, 81, 2304, 1188, 17310, 1147, 203, 1070, 9525, 32, 3378, 1188, 6633, 1176, 30, 22509, 38935, 203, 1070, 638, 4275, 1188, 42404, 1484, 8237, 383, 13018, 30, 3182, 776, 23162, 383, 13018, 1562, 8237, 30, 12932, 22936, 1176, 984, 203, 1070, 456, 874, 32, 11025, 7491, 32, 16916, 32, 2304, 1188, 9533, 81, 5883, 81, 1567, 203, 1070, 456, 874, 32, 11025, 7491, 32, 16916, 1188, 24125, 2210, 81, 5976, 12557, 1706, 1016, 81, 13952, 203, 50, 16097, 26, 3426, 81, 104, 14192, 27, 203, 50, 16097, 26, 3426, 81, 4524, 27, 203, 50, 16097, 26, 3647, 81, 104, 14192, 27, 203, 50, 16097, 26, 3647, 81, 4524, 27, 203, 589, 2364, 81, 1297, 81, 15090, 81, 4531, 26, 8262, 30, 1115, 5321, 711, 10065, 2887, 81, 6891, 26, 5321, 710, 496, 2188, 10306, 710, 1526, 3490, 203, 50, 16097, 26, 3426, 81, 42981, 27, 203, 50, 16097, 26, 3426, 81, 11965, 27, 203, 50, 16097, 26, 3647, 81, 42981, 27, 203, 50, 16097, 26, 3647, 81, 11965, 27, 203, 589, 2364, 81, 3176, 81, 2560, 81, 4531, 26, 8262, 30, 1115, 5321, 711, 10065, 2364, 280, 10306, 710, 1526, 785, 284, 2887, 81, 6891, 26, 5321, 710, 496, 2188, 2364, 30, 1946, 26, 1526, 32, 496, 81, 314, 490, 203, 50, 16097, 26, 3647, 81, 5445, 1246, 27, 203, 589, 5093, 81, 5445, 1246, 81, 4531, 26, 8262, 30, 1115, 5321, 711, 10065, 5093, 280, 10306, 710, 1526, 785, 284, 2887, 81, 6891, 26, 5321, 710, 496, 2188, 5093, 30, 1946, 26, 3647, 32, 3426, 32, 496, 81, 314, 490, 203, 589, 2887, 81, 6891, 26, 496, 30, 2364, 30, 4707, 81, 2116, 81, 314, 47, 2521, 711, 284, 415, 4707, 81, 2116, 81, 314, 438, 646, 1665, 461, 1256, 32, 314, 863, 4707, 81, 2116, 81, 314, 44, 291, 442, 284, 415, 18623, 26, 1526, 30, 313, 1819, 392, 313, 7632, 657, 610, 24125, 2210, 81, 5976, 12557, 1706, 1016, 81, 13952, 44, 291, 22509, 8237, 22936, 32, 1877, 81, 2135, 81, 6891, 26, 496, 30, 2364, 32, 3647, 444, 81, 314, 27, 203, 823, 22509, 8237, 26, 3378, 32, 1243, 711, 284, 443 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 3, 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, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 4, 4, 5, 5, 5, 5, 4, 1, 2, 4, 4, 5, 5, 5, 4, 1, 2, 4, 4, 5, 5, 5, 5, 4, 1, 2, 4, 4, 5, 5, 5, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 5, 3, 2, 2, 6, 6, 6, 8, 7, 9, 9, 6, 7, 9, 9, 0, 2, 4, 4, 5, 5, 5, 4, 1, 2, 4, 4, 5, 5, 5, 4, 1, 2, 4, 4, 5, 5, 5, 4, 1, 2, 4, 4, 5, 5, 5, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 5, 3, 2, 2, 5, 5, 6, 8, 8, 3, 3, 6, 6, 6, 8, 7, 9, 9, 6, 6, 6, 8, 10, 9, 10, 10, 10, 8, 0, 2, 4, 4, 5, 5, 5, 5, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 5, 3, 2, 2, 5, 5, 6, 8, 8, 3, 3, 6, 6, 6, 8, 7, 9, 9, 6, 6, 6, 8, 11, 10, 11, 9, 10, 10, 10, 8, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 4, 4, 4, 4, 3, 4, 2, 1, 1, 3, 6, 6, 6, 6, 5, 5, 5, 4, 4, 6, 7, 5, 5, 6, 6, 6, 6, 3, 3, 3, 2, 2, 3, 6, 7, 6, 6, 8, 8, 6, 8, 8, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 8, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 7, 8, 9, 9, 9, 9, 7, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 1, 6, 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, 9, 9, 0, 0, 1, 2, 9, 9, 0, 0, 10, 10, 0, 0, 0, 0, 1, 2, 10, 10, 10, 10, 0, 0, 10, 10, 10, 0, 0, 10, 10, 10, 0, 0, 10, 10, 10, 0, 0, 0, 10, 10, 10, 0, 0, 10, 10, 10, 0, 0, 10, 10, 10, 0, 0, 10, 10, 10, 0, 0, 0, 10, 10, 10, 0, 0, 0, 10, 10, 0, 11, 11, 0, 0, 0, 1, 2, 11, 11, 0, 0, 0, 12, 12, 1, 2, 2, 2, 12, 12, 0, 0, 13, 13, 1, 2, 13, 13, 0, 13, 13, 0, 0, 14, 14, 0, 14, 14, 0, 0, 0, 0, 14, 14, 0, 0, 0, 0, 0, 0, 14, 14, 0, 0, 0, 0, 15, 15, 0, 1, 2, 2, 1, 4, 1, 6, 15, 15, 0, 0, 0, 0, 0, 16, 16, 0, 1, 2, 2, 1, 4, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 17, 1, 0, 1, 1, 1, 1, 1, 17, 2, 0, 1, 1, 1, 1, 1, 1, 17, 3, 0, 1, 1, 1, 1, 1, 17, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 1, 0, 1, 1, 2, 1, 3, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 18, 1, 0, 1, 1, 1, 1, 1, 18, 2, 0, 1, 1, 1, 1, 1, 18, 3, 0, 1, 1, 1, 1, 1, 18, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 2, 1, 2, 4, 4, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 19, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 4, 4, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 20, 20, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 5, 2, 2, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 0, 21, 21, 1, 2, 0, 1, 2, 2, 21, 21 ]
[ 465, 5237, 30, 2322, 30, 6350, 30, 802, 30, 1133, 30, 27374, 30, 19571, 203, 1070, 8206, 13835, 32, 3164, 1188, 19712, 30, 2719, 203, 1070, 8206, 13835, 32, 28783, 1188, 7079, 30, 30633, 30, 8745, 30, 13423, 203, 1070, 8206, 13835, 32, 28783, 32, 2795, 1188, 17526, 299, 1853, 203, 823, 745, 418, 1486, 5506, 26, 7079, 32, 2861, 5506, 8063, 203, 202, 589, 3387, 33617, 26, 630, 8063, 357, 202, 784, 32, 38364, 32, 1821, 26, 330, 3841, 33617, 78, 96, 25, 829, 203, 202, 589, 963, 10916, 26, 630, 30, 706, 8063, 357, 202, 1216, 706, 357, 202, 784, 32, 38364, 32, 1821, 26, 706, 829, 203, 202, 589, 1137, 10916, 26, 630, 30, 706, 8063, 357, 202, 1216, 330, 8228, 44, 330, 474, 706, 357, 202, 784, 32, 38364, 32, 1821, 26, 330, 8228, 44, 330, 474, 706, 829, 203, 202, 589, 328, 2798, 28738, 26, 630, 8063, 357, 202, 784, 32, 38364, 32, 1821, 26, 330, 266, 2798, 28738, 78, 96, 25, 829, 203, 202, 589, 963, 2798, 28738, 26, 630, 8063, 357, 202, 784, 32, 38364, 32, 1821, 26, 330, 541, 2798, 28738, 78, 96, 25, 829, 203, 202, 589, 1137, 2798, 28738, 26, 630, 8063, 357, 202, 784, 32, 38364, 32, 1821, 26, 330, 530, 2798, 28738, 78, 96, 25, 829, 203, 202, 589, 2164, 33761, 26, 630, 30, 2287, 81, 1473, 8063, 357, 202, 784, 32, 38364, 32, 1821, 26, 330, 2416, 33761, 904, 101, 78, 96, 25, 904, 26542, 26, 2287, 81, 1473, 829, 829, 357, 202, 784, 32, 38364, 32, 1821, 26, 1133, 32, 20834, 26, 6611, 58, 6069, 63, 6069, 69, 370, 1133, 32, 1696, 1003, 26, 1133, 32, 1003, 346, 829, 829, 474, 3228, 96, 25, 829, 357, 202, 784, 32, 38364, 32, 2679, 346, 357, 202, 784, 32, 30594, 32, 4383, 26, 1665, 829, 203, 202, 589, 1156, 1664, 3207, 630, 30, 1245, 3607, 30, 18329, 8063, 357, 202, 784, 32, 751, 3607, 280, 1245, 3607, 357, 202, 784, 32, 38364, 280, 2156, 26, 1245, 3607, 30, 330, 83, 25, 829, 357, 202, 784, 32, 38364, 32, 1821, 26, 1133, 32, 20834, 26, 6611, 58, 6069, 63, 6069, 69, 370, 1133, 32, 1696, 1003, 26, 1133, 32, 1003, 346, 829, 829, 474, 3228, 96, 25, 829, 357, 202, 784, 32, 30594, 280, 18329, 203, 823, 745, 418, 1183, 26, 2719, 32, 1183, 8063, 203, 202, 1293, 280, 225, 34, 203, 202, 1553, 81, 8438, 280, 225, 35, 34, 203, 202, 24088, 81, 761, 280, 330, 10340, 32, 24088, 25, 203, 202, 1517, 280, 2149, 203, 202, 6844, 3840, 280, 225, 34, 203, 202, 589, 1156, 1664, 3207, 630, 30, 7395, 30, 4774, 928, 30, 14274, 30, 3844, 280, 225, 34, 30, 6959, 3840, 280, 225, 34, 30, 11771, 81, 1945, 280, 225, 34, 8063, 357, 202, 784, 32, 98, 81, 9613, 280, 1665, 357, 202, 784, 32, 6844, 3840, 280, 6959, 3840, 357, 202, 784, 32, 5006, 81, 1945, 280, 11771, 81, 1945, 357, 202, 325, 308, 630, 32, 6844, 3840, 8063, 355, 202, 1216, 330, 6420, 332, 328 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 4, 4, 2, 1, 1, 3, 3, 4, 4, 4, 4, 3, 3, 9, 8, 9, 7, 8, 7, 7, 9, 9, 10, 10, 9, 7, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 4, 4, 9, 8, 9, 7, 8, 7, 7, 7, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 8, 8, 8, 6, 6, 4, 4, 9, 8, 9, 7, 8, 7, 7, 10, 10, 10, 8, 8, 7, 2, 2, 3, 3, 4, 4, 4, 4, 4, 3, 3, 9, 8, 9, 7, 8, 7, 7, 9, 9, 9, 10, 10, 9, 7, 2, 2, 3, 3, 4, 4, 4, 4, 4, 3, 3, 9, 8, 9, 7, 8, 7, 7, 9, 9, 9, 10, 10, 9, 7, 2, 2, 3, 3, 4, 4, 4, 4, 4, 3, 3, 9, 8, 9, 7, 8, 7, 7, 9, 9, 9, 10, 10, 9, 7, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 9, 8, 9, 7, 8, 7, 7, 10, 10, 10, 10, 11, 11, 10, 8, 8, 10, 10, 11, 11, 10, 7, 4, 4, 9, 8, 9, 7, 8, 7, 7, 10, 11, 10, 10, 12, 12, 12, 12, 12, 12, 10, 12, 13, 13, 12, 12, 14, 15, 14, 12, 10, 8, 8, 11, 10, 7, 4, 4, 9, 8, 9, 7, 8, 7, 4, 4, 9, 8, 9, 7, 8, 7, 7, 7, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 7, 8, 8, 6, 6, 7, 4, 4, 8, 7, 8, 6, 6, 8, 8, 9, 8, 8, 10, 10, 8, 4, 4, 9, 8, 9, 7, 8, 7, 7, 10, 11, 10, 10, 12, 12, 12, 12, 12, 12, 10, 12, 13, 13, 12, 12, 14, 15, 14, 12, 10, 8, 8, 11, 10, 7, 4, 4, 8, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 4, 2, 1, 1, 5, 4, 4, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 2, 2, 5, 5, 4, 4, 5, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 6, 4, 4, 6, 5, 5, 6, 4, 4, 6, 6, 5, 5, 6, 4, 3, 3, 8, 7, 8, 8, 8, 6, 6, 4, 4, 8, 7, 8, 8, 6, 6, 7, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 5, 5, 6, 7, 8, 8, 6, 5, 5, 7, 7, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 2, 2, 1, 2, 2, 2, 4, 4, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 4, 4, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 3, 1, 1, 2, 2, 2, 3, 3, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 4, 4, 4, 4, 1, 1, 2, 2, 2, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 4, 4, 5, 5, 1, 1, 2, 2, 2, 5, 5, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 4, 4, 6, 6, 1, 2, 2, 2, 2, 3, 3, 2, 6, 6, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 4, 4, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 7, 7, 1, 1, 2, 2, 2, 3, 2, 2, 2, 7, 7, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 4, 4, 0, 0, 2, 0, 0, 0, 5, 5, 1, 1, 2, 2, 1, 2, 2, 5, 5, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 4, 4, 5, 5, 1, 1, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 9, 9, 2, 2, 2, 0, 11, 11, 2, 2, 2, 0, 0, 13, 13, 2, 2, 5, 5, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 3, 3, 1, 1, 2, 2, 1, 3, 3, 0, 0, 1, 1, 1 ]
[ 1070, 27399, 32, 1237, 766, 284, 1188, 9806, 17524, 30, 2032, 30, 7411, 203, 1070, 27399, 1707, 32, 1237, 766, 284, 1188, 4328, 30, 677, 1564, 30, 6324, 203, 1070, 27399, 1707, 32, 761, 81, 5952, 225, 766, 284, 1188, 2156, 81, 761, 30, 44875, 30, 3319, 1120, 30, 4361, 1120, 203, 6380, 81, 314, 280, 330, 13473, 1707, 32, 6380, 32, 9138, 81, 5728, 101, 32, 761, 81, 5952, 32, 12565, 81, 1338, 25, 203, 9081, 280, 428, 44875, 1026, 3319, 1120, 1026, 4361, 1120, 346, 1481, 203, 823, 2032, 3728, 11575, 308, 9806, 17524, 8063, 284, 803, 81, 426, 280, 2032, 284, 2156, 280, 7411, 26, 330, 2961, 34196, 829, 284, 2202, 280, 4328, 26, 291, 677, 1564, 26, 324, 6324, 26, 330, 1676, 370, 2519, 81, 1172, 280, 3177, 2588, 324, 7610, 370, 324, 6324, 26, 330, 761, 81, 426, 370, 1418, 280, 330, 12360, 370, 22748, 107, 280, 2933, 829, 291, 2588, 291, 1861, 280, 225, 34, 32, 39, 284, 829, 284, 665, 617, 1676, 81, 8968, 308, 630, 8063, 291, 803, 81, 426, 280, 2156, 81, 761, 26, 11581, 280, 11581, 30, 804, 280, 10859, 81, 314, 829, 291, 415, 803, 81, 426, 863, 40496, 324, 630, 32, 761, 81, 426, 280, 803, 81, 426, 203, 6380, 280, 2032, 3728, 11575, 346, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 10859, 32, 7799, 81, 13473, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 1, 2, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 2, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 3, 5, 3, 5, 5, 3, 5, 5, 3, 0, 1, 1, 2, 2, 1, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 4, 4, 6, 6, 8, 8, 6, 2, 2, 4, 4, 6, 6, 6, 8, 8, 8, 8, 10, 10, 12, 12, 10, 12, 12, 11, 11, 10, 8, 8, 10, 8, 8, 10, 10, 12, 12, 12, 12, 10, 11, 11, 13, 13, 10, 12, 11, 11, 10, 8, 8, 6, 6, 7, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 3, 4, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 9, 9, 8, 8, 9, 9, 10, 10, 8, 4, 4, 5, 7, 7, 6, 6, 5, 5, 9, 10, 10, 10, 8, 8, 9, 9, 0, 3, 2, 2, 4, 4, 4, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 6, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 5, 5, 1, 1, 5, 2, 1, 2, 5, 5, 0, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 1, 0, 5, 5, 1, 1, 1, 1, 1, 3, 3, 2, 2, 2, 1, 1, 4, 4, 3, 1, 1, 1, 3, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 2, 2, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 7, 7, 0, 0, 1, 1, 1, 1, 7, 7, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 281, 652, 2338, 1188, 44524, 203, 1070, 2322, 1188, 1519, 203, 1070, 2322, 32, 983, 1188, 7140, 203, 1070, 46226, 81, 1832, 1188, 1491, 81, 761, 30, 2866, 81, 761, 30, 48937, 81, 731, 203, 465, 1933, 203, 465, 46226, 81, 1832, 203, 465, 2322, 203, 465, 316, 203, 465, 22977, 203, 465, 5237, 203, 1270, 44, 284, 1188, 4281, 1260, 619, 2361, 203, 7343, 29986, 44, 284, 1188, 2361, 203, 100, 754, 887, 81, 983, 280, 1519, 32, 21379, 26, 2524, 26, 284, 1519, 32, 7781, 4064, 761, 36762, 284, 31001, 370, 284, 31001, 370, 284, 330, 1832, 370, 284, 330, 8121, 2847, 203, 3731, 32, 983, 32, 1689, 26, 100, 754, 887, 81, 983, 27, 203, 465, 540, 754, 887, 203, 589, 2869, 81, 1855, 81, 965, 26, 965, 711, 284, 442, 3228, 96, 1109, 21, 1914, 2413, 1057, 474, 1984, 474, 330, 569, 25, 203, 589, 1847, 1147, 81, 754, 26, 4259, 711, 284, 442, 540, 754, 887, 32, 754, 887, 26, 4259, 27, 203, 589, 40824, 733, 81, 1647, 81, 3607, 26, 1647, 81, 426, 30, 1688, 81, 1515, 711, 284, 442, 7140, 26, 2024, 81, 1515, 30, 2297, 81, 426, 474, 7610, 1647, 32, 754, 683, 203, 589, 27625, 81, 271, 81, 2991, 81, 761, 26, 1617, 30, 3466, 30, 10061, 47, 2700, 711, 284, 415, 10061, 461, 1519, 32, 4658, 26, 3316, 711, 291, 2322, 32, 2546, 26, 3316, 27, 284, 415, 19326, 26, 500, 30, 330, 39166, 7831, 291, 2322, 32, 39166, 26, 1617, 30, 3466, 27, 284, 813, 44, 291, 22977, 32, 2991, 26, 1617, 30, 3466, 27, 203, 589, 27625, 81, 271, 81, 2991, 81, 1515, 26, 1617, 30, 3466, 711, 284, 415, 1519, 32, 4658, 26, 3316, 711, 291, 22977, 32, 100, 41718, 26, 3316, 27, 284, 436, 1561, 81, 1515, 30, 29141, 30, 2276, 328, 2322, 32, 11905, 26, 1617, 711, 291, 1361, 983, 280, 1519, 32, 2808, 983, 26, 1617, 81, 1515, 30, 1561, 27, 291, 3466, 81, 1515, 280, 1519, 32, 19573, 49149, 26, 2524, 26, 3316, 30, 1361, 983, 490, 291, 2322, 32, 10174, 26, 3316, 81, 1515, 27, 291, 436, 636, 328, 2276, 44, 324, 1561, 81, 426, 280, 7140, 26, 500, 32, 33115, 1026, 1561, 81, 1515, 30, 636, 27, 324, 3466, 81, 426, 280, 7140, 26, 3316, 81, 1515, 30, 636, 27, 324, 27625, 81, 271, 81, 2991, 81, 761, 26, 1617, 81, 426, 30, 3466, 81, 426, 27, 203, 823, 1995, 1796, 44, 284, 665, 1156, 1664, 3207, 784, 30, 3022, 81, 426, 30, 26504, 30, 3022, 81, 1515, 30, 1688, 81, 1515, 711, 291, 630, 32, 3164, 81, 426, 280, 3022, 81, 426, 291, 630, 32, 31898, 280, 26504, 291, 630, 32, 3164, 81, 1515, 280, 3022, 81, 1515, 291, 630, 32, 2024, 81, 1515, 280, 1688, 81, 1515, 284, 665, 1123, 81, 761, 26, 784, 30, 5016, 711, 291, 442, 630, 32, 3164, 81, 426, 474, 18491, 474, 5016, 284, 665, 5296, 81, 3142, 81, 4243, 26, 784, 711, 291, 1056, 280, 1605, 291, 436, 2297, 328, 630, 32, 31898, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 8, 9, 8, 9, 9, 6, 6, 8, 6, 6, 8, 6, 6, 8, 8, 6, 6, 8, 8, 0, 5, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 8, 7, 7, 7, 7, 7, 5, 5, 4, 4, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 6, 5, 6, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 5, 6, 6, 6, 5, 5, 7, 7, 6, 6, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 6, 7, 6, 7, 6, 3, 3, 7, 8, 7, 8, 7, 2, 2, 3, 5, 6, 5, 5, 7, 7, 3, 3, 7, 8, 7, 8, 7, 7, 7, 3, 3, 4, 4, 4, 8, 9, 8, 9, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 6, 5, 6, 5, 3, 3, 7, 8, 8, 7, 8, 7, 2, 2, 3, 5, 5, 4, 4, 4, 4, 3, 3, 5, 6, 5, 6, 5, 3, 3, 7, 6, 6, 8, 9, 9, 8, 9, 9, 9, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 10, 10, 11, 10, 10, 11, 10, 4, 4, 7, 8, 7, 8, 8, 8, 7, 4, 4, 5, 5, 5, 5, 5, 5, 9, 9, 8, 8, 10, 13, 12, 13, 12, 10, 11, 11, 10, 10, 10, 6, 6, 9, 9, 8, 8, 10, 11, 11, 11, 10, 10, 10, 6, 6, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 9, 9, 10, 10, 9, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 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, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 9, 9, 7, 7, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 5, 5, 8, 9, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 5, 5, 0, 0, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 10, 10, 0, 0, 1, 1, 10, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 13, 13, 0, 0, 0, 14, 14, 1, 1, 1, 1, 2, 1, 2, 14, 14, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 15, 15, 1, 1, 1, 2, 1, 2, 15, 15, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 16, 16, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 16, 16, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 1, 1, 1, 2, 0, 17, 17, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 17, 17, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 18, 18, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 18, 18, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 3, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 5, 5, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 3, 3, 1, 1, 1, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 19, 19, 1, 19, 19, 19, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 7, 7, 2, 2, 9, 9, 2, 0, 0, 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, 0, 0, 2, 2, 3, 3, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 3, 3, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 0, 2, 0 ]
[ 1070, 2156, 3034, 32, 8543, 1188, 10625, 81, 2122, 203, 1070, 2156, 3034, 1188, 2869, 203, 823, 15310, 26, 3142, 32, 2291, 711, 284, 2869, 81, 678, 280, 330, 6038, 25, 284, 6086, 81, 678, 280, 330, 16669, 25, 284, 1695, 81, 983, 280, 3056, 16669, 25, 284, 2719, 280, 10625, 81, 2122, 32, 6729, 1183, 346, 284, 2608, 81, 1297, 280, 2933, 284, 2608, 81, 371, 280, 2933, 284, 2608, 81, 1877, 280, 2933, 284, 2608, 81, 2560, 280, 2933, 284, 2608, 81, 668, 280, 2933, 284, 1974, 81, 1959, 280, 330, 18086, 25, 284, 11589, 280, 2869, 32, 3050, 463, 3006, 683, 284, 7324, 280, 2869, 32, 3050, 463, 7676, 683, 284, 2074, 81, 314, 280, 2869, 32, 3050, 463, 2250, 81, 314, 683, 284, 827, 280, 2869, 32, 3050, 463, 681, 683, 284, 1256, 81, 314, 280, 2869, 32, 3050, 463, 496, 81, 314, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 7, 7, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 2, 2, 4, 4, 6, 7, 6, 8, 8, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 6, 8, 8, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 589, 2454, 81, 605, 26, 983, 711, 284, 1509, 81, 761, 280, 2322, 32, 983, 32, 2524, 26, 983, 27, 284, 623, 2156, 26, 1131, 81, 761, 30, 313, 100, 392, 7328, 1057, 3310, 31, 42, 370, 3878, 1057, 3617, 683, 619, 296, 44, 291, 706, 280, 296, 32, 850, 346, 284, 442, 706, 203, 589, 6571, 81, 16413, 26, 605, 711, 284, 7456, 81, 4068, 280, 2107, 46, 6126, 10154, 4145, 2139, 10154, 4145, 101, 10154, 225, 4145, 78, 101, 48, 785, 284, 739, 81, 4068, 280, 739, 2009, 1112, 436, 1628, 328, 706, 32, 2998, 9442, 96, 683, 436, 3594, 328, 1628, 32, 2998, 27944, 284, 629, 81, 452, 81, 16413, 280, 301, 1112, 81, 91, 44, 3594, 436, 3594, 81, 91, 30, 3594, 328, 10703, 26, 10097, 81, 4068, 474, 1149, 26, 470, 81, 4068, 46248, 284, 21283, 81, 452, 81, 410, 280, 301, 1112, 44, 3594, 81, 91, 436, 3594, 81, 91, 30, 3594, 328, 629, 81, 452, 81, 16413, 32, 3028, 9741, 284, 442, 629, 81, 452, 81, 16413, 30, 21283, 81, 452, 81, 410, 203, 589, 9789, 81, 314, 81, 23859, 26, 1855, 81, 3631, 30, 1914, 81, 16413, 81, 452, 81, 410, 30, 1760, 81, 3631, 30, 1760, 81, 16413, 81, 452, 81, 410, 30, 6613, 81, 1322, 711, 284, 537, 81, 1855, 81, 3631, 280, 428, 668, 26, 35107, 26, 18107, 474, 428, 1855, 81, 16413, 81, 452, 81, 410, 710, 46, 6126, 48, 18038, 319, 308, 7508, 81, 1322, 429, 2069, 26, 18107, 7748, 766, 2855, 436, 15430, 328, 1914, 81, 3631, 79, 284, 537, 81, 1977, 81, 3631, 280, 428, 18107, 474, 428, 1977, 81, 16413, 81, 452, 81, 410, 710, 46, 6126, 48, 18038, 319, 308, 7508, 81, 1322, 429, 2069, 26, 18107, 490, 766, 2855, 436, 15430, 328, 1760, 81, 3631, 79, 284, 442, 537, 81, 1855, 81, 3631, 30, 537, 81, 1977, 81, 3631, 203, 589, 5254, 81, 605, 26, 1855, 30, 1760, 30, 5254, 81, 891, 711, 284, 436, 5254, 81, 91, 328, 2155, 26, 34, 30, 2069, 26, 1855, 32541, 4432, 81, 891, 711, 291, 1477, 81, 91, 280, 5254, 81, 91, 319, 5254, 81, 891, 291, 1914, 81, 4432, 280, 1914, 77, 1366, 81, 91, 44, 1366, 81, 91, 474, 5254, 81, 891, 79, 291, 1760, 81, 4432, 280, 1760, 77, 1366, 81, 91, 44, 1366, 81, 91, 474, 5254, 81, 891, 79, 291, 6761, 1914, 81, 4432, 30, 1760, 81, 4432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 2, 2, 3, 8, 9, 9, 9, 8, 8, 10, 10, 8, 9, 11, 11, 11, 11, 8, 9, 11, 11, 6, 6, 3, 3, 3, 6, 6, 8, 9, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 7, 7, 2, 2, 5, 5, 4, 4, 6, 8, 7, 8, 8, 8, 10, 11, 10, 13, 12, 7, 8, 8, 8, 10, 11, 10, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 7, 6, 6, 5, 6, 8, 8, 7, 7, 6, 6, 8, 10, 10, 10, 9, 9, 11, 12, 12, 12, 11, 2, 2, 5, 5, 5, 5, 4, 4, 7, 6, 6, 7, 7, 5, 6, 8, 8, 7, 7, 6, 6, 9, 9, 9, 9, 8, 9, 8, 2, 2, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 7, 7, 9, 9, 11, 10, 10, 14, 14, 14, 14, 14, 14, 14, 13, 15, 15, 15, 15, 11, 11, 14, 14, 14, 13, 13, 15, 16, 15, 5, 6, 5, 6, 6, 6, 7, 7, 5, 2, 2, 5, 5, 5, 5, 4, 4, 7, 6, 6, 10, 10, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 7, 7, 10, 10, 10, 9, 9, 11, 12, 11, 5, 6, 5, 6, 6, 6, 7, 7, 5, 2, 2, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 3, 3, 5, 6, 5, 5, 8, 9, 8, 7, 7, 7, 5, 3, 3, 7, 7, 6, 6, 8, 8, 7, 7, 8, 8, 4, 4, 7, 7, 6, 6, 7, 9, 9, 9, 8, 10, 10, 10, 9, 9, 10, 10, 7, 4, 4, 7, 7, 6, 6, 7, 9, 9, 9, 8, 10, 10, 10, 9, 9, 10, 10, 7, 4, 4, 6, 8, 8, 7, 7, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 7, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 4, 4, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 3, 3, 3, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 4, 4, 4, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 7, 7, 7, 7, 2, 2, 9, 9, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 2, 4, 4, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 4, 4, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 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 ]
[ 505, 2116, 505, 280, 330, 92, 32, 101, 50, 2175, 32, 508, 308, 60, 8643, 6906, 836, 493, 9905, 203, 465, 8566, 32, 1262, 203, 17214, 81, 17143, 280, 8930, 525, 555, 1499, 32, 105, 37, 32, 1088, 33, 36, 34, 34, 39, 33, 7869, 16161, 101, 25, 203, 6870, 81, 17143, 81, 72, 35, 280, 8930, 525, 555, 43226, 32, 1088, 33, 4149, 33, 725, 21, 16161, 101, 25, 203, 6870, 81, 17143, 81, 72, 36, 280, 8930, 525, 555, 1499, 32, 105, 37, 32, 1088, 33, 36, 34, 34, 41, 33, 725, 16161, 101, 25, 203, 823, 3270, 26, 4149, 32, 1262, 32, 17111, 711, 334, 617, 99, 426, 280, 399, 17619, 81, 17143, 904, 330, 426, 25, 203, 823, 10024, 26, 4149, 32, 1262, 32, 17111, 711, 334, 617, 99, 426, 280, 399, 17619, 81, 17143, 904, 330, 1935, 25, 203, 823, 14440, 26, 4149, 32, 1262, 32, 17111, 711, 334, 617, 99, 426, 280, 399, 17619, 81, 17143, 904, 330, 3423, 25, 203, 823, 11038, 26, 4149, 32, 1262, 32, 17111, 711, 334, 636, 280, 3270, 334, 4096, 280, 10024, 334, 8210, 280, 14440, 203, 823, 6259, 26, 6005, 711, 334, 617, 99, 426, 280, 399, 17619, 81, 17143, 904, 330, 2116, 25, 203, 823, 42732, 26, 6005, 711, 334, 617, 99, 426, 280, 399, 17619, 81, 17143, 904, 330, 34053, 25, 203, 823, 6116, 26, 4149, 32, 1262, 32, 17111, 711, 334, 617, 99, 426, 280, 399, 17619, 81, 17143, 904, 330, 1204, 25, 334, 976, 280, 330, 6928, 25, 334, 1875, 280, 330, 2808, 25, 334, 827, 280, 330, 681, 25, 334, 976, 1581, 280, 330, 6928, 1581, 25, 334, 1780, 280, 330, 1311, 25, 334, 3104, 280, 330, 1322, 25, 203, 823, 15386, 26, 4149, 32, 1262, 32, 17111, 711, 334, 617, 99, 426, 280, 399, 17619, 81, 17143, 904, 330, 7101, 25, 334, 8210, 280, 330, 3423, 25, 334, 1503, 280, 330, 1648, 25, 203, 823, 3319, 26, 4149, 32, 1262, 32, 17111, 711, 334, 827, 280, 330, 681, 25, 203, 823, 1979, 26, 1031, 711, 334, 617, 99, 426, 280, 399, 17619, 81, 17143, 904, 330, 1311, 25, 203, 823, 3725, 1311, 26, 1031, 711, 334, 617, 99, 426, 280, 399, 17619, 81, 17143, 904, 330, 15367, 25, 203, 823, 12903, 26, 1031, 711, 334, 617, 99, 426, 280, 399, 17619, 81, 17143, 904, 330, 33160, 25, 203, 823, 15591, 26, 1031, 711, 334, 617, 99, 426, 280, 399, 17619, 81, 17143, 904, 330, 1367, 25, 203, 823, 6256, 26, 1031, 711, 334, 617, 99, 426, 280, 399, 17619, 81, 17143, 904, 330, 1286, 25, 334, 1561, 280, 330, 1617, 25, 203, 823, 9953, 26, 4149, 32, 1262, 32, 17111, 711, 334, 617, 99, 426, 280, 399, 17619, 81, 17143, 904, 330, 3153, 25, 334, 5615, 280, 330, 3890, 25, 334, 12841, 280, 330, 13627, 25, 334, 2266, 280, 330, 1172, 25, 203, 823, 4933, 26, 4149, 32, 1262, 32, 17111, 711, 334, 617, 99, 426, 280, 399, 17619, 81, 17143, 904, 330, 314, 25, 203, 823, 10170, 26, 4149, 32, 1262, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 5, 4, 5, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 5, 5, 7, 7, 0, 1, 1, 2, 5, 4, 5, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 5, 5, 7, 7, 0, 1, 1, 2, 5, 4, 5, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 5, 5, 7, 7, 0, 1, 1, 2, 5, 4, 5, 3, 4, 2, 1, 1, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 5, 5, 7, 7, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 5, 5, 7, 7, 0, 1, 1, 2, 5, 4, 5, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 5, 5, 7, 7, 2, 2, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 0, 1, 1, 2, 5, 4, 5, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 5, 5, 7, 7, 2, 2, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 0, 1, 1, 2, 5, 4, 5, 3, 4, 2, 1, 1, 4, 4, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 5, 5, 7, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 5, 5, 7, 7, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 5, 5, 7, 7, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 5, 5, 7, 7, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 5, 5, 7, 7, 2, 2, 4, 4, 6, 6, 0, 1, 1, 2, 5, 4, 5, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 5, 5, 7, 7, 2, 2, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 0, 1, 1, 2, 5, 4, 5, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 5, 5, 7, 7, 0, 1, 1, 2, 5, 4, 5, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 2, 0, 0, 2, 1, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 6, 6, 2, 0, 0, 2, 1, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 7, 7, 2, 0, 0, 2, 1, 2, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 8, 8, 2, 0, 0, 2, 1, 2, 2, 8, 8, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 9, 9, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 10, 10, 2, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 11, 11, 2, 0, 0, 2, 1, 2, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 0, 12, 12, 2, 0, 0, 2, 1, 2, 2, 12, 12, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 0, 13, 13, 2, 0, 0, 2, 1, 2, 2, 13, 13, 0, 0, 1, 2, 0, 14, 14, 2, 1, 2, 14, 14, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 15, 15, 1, 2, 1, 2, 15, 15, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 16, 16, 2, 1, 2, 16, 16, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 17, 17, 2, 1, 2, 17, 17, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 18, 18, 2, 1, 2, 18, 18, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 1, 2, 0, 19, 19, 2, 0, 0, 2, 1, 2, 2, 19, 19, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 0, 20, 20, 2, 0, 0, 2, 1, 2, 2, 20, 20, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 21, 21, 2, 0, 0, 2, 1 ]
[ 465, 42406, 203, 465, 2322, 203, 465, 316, 203, 465, 18792, 203, 1070, 1692, 730, 1188, 48774, 304, 47981, 203, 1070, 2322, 315, 81, 751, 1188, 1245, 619, 5741, 203, 1070, 2322, 315, 81, 2304, 1188, 9991, 203, 1070, 281, 15130, 1188, 1619, 203, 1070, 281, 15130, 1188, 3082, 203, 1070, 281, 15130, 1188, 3756, 203, 1070, 281, 15130, 32, 91, 35, 42, 96, 1188, 4950, 617, 815, 30, 617, 1798, 30, 617, 27812, 203, 1070, 281, 15130, 1188, 2568, 203, 1070, 281, 15130, 32, 7236, 32, 18150, 32, 16392, 12009, 1188, 2361, 8358, 203, 1070, 281, 15130, 32, 7236, 32, 18150, 32, 16392, 12009, 1188, 2075, 203, 1070, 281, 15130, 32, 7236, 32, 18150, 32, 16392, 12009, 1188, 8745, 203, 1070, 281, 15130, 32, 7236, 32, 18150, 1188, 47535, 203, 4530, 280, 330, 35, 32, 37, 32, 34, 25, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 50, 3337, 32, 3060, 11564, 2365, 203, 823, 489, 327, 304, 8368, 2548, 6636, 26, 17122, 32, 64, 2548, 6636, 711, 10065, 5398, 81, 4254, 280, 330, 16392, 12009, 25, 284, 6864, 81, 7878, 81, 426, 280, 330, 64, 327, 304, 8368, 2548, 6636, 25, 284, 20418, 280, 20418, 284, 676, 1752, 18608, 81, 3539, 81, 2474, 280, 330, 7236, 25, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 64, 327, 304, 8368, 2548, 6636, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 415, 630, 32, 5983, 44, 324, 630, 32, 5983, 32, 1689, 81, 1163, 81, 2810, 26, 400, 2075, 32, 64, 1460, 1438, 51, 81, 16779, 81, 32278, 27, 324, 630, 32, 5983, 32, 1689, 81, 1163, 81, 2810, 26, 400, 2075, 32, 64, 1460, 1438, 51, 81, 64, 6883, 81, 32278, 27, 324, 630, 32, 5983, 32, 1689, 81, 1163, 81, 2810, 26, 400, 2075, 32, 64, 1460, 1438, 51, 81, 34093, 81, 32278, 27, 324, 630, 32, 5983, 32, 1689, 81, 1163, 81, 2810, 26, 400, 2075, 32, 64, 1460, 1438, 51, 81, 4252, 23852, 81, 32278, 27, 291, 630, 32, 46699, 81, 2613, 81, 3060, 2388, 280, 630, 32, 5983, 32, 16392, 12009, 81, 46699, 81, 2613, 81, 3060, 2388, 291, 630, 32, 591, 16397, 81, 22078, 280, 630, 32, 5983, 32, 16392, 12009, 81, 591, 16397, 81, 22078, 291, 630, 32, 591, 16397, 81, 9374, 81, 1954, 81, 891, 280, 630, 32, 5983, 32, 16392, 12009, 81, 591, 16397, 81, 9374, 81, 1954, 81, 891, 291, 630, 32, 591, 16397, 81, 16717, 280, 630, 32, 5983, 32, 16392, 12009, 81, 591, 16397, 81, 16717, 291, 630, 32, 17122, 81, 2944, 81, 1493, 81, 1439, 280, 630, 32, 5983, 32, 16392, 12009, 81, 2944, 81, 1493, 81, 1439, 291, 630, 32, 7236, 81, 22078, 280, 308, 324, 630, 32, 5983, 32, 16392, 12009, 81, 5613, 81, 22078, 27, 291, 630, 32, 7236, 81, 981, 417, 1280, 280, 630, 32, 5983, 32, 16392, 12009, 81, 5613, 81, 981, 417, 291, 630, 32, 7236, 81, 2310, 280, 308, 324, 630, 32, 5983, 32, 16392, 12009, 81, 5613, 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, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 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, 2, 3, 3, 3, 3, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 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, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 2, 4, 3, 4, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 5, 4, 5, 5, 5, 3, 2, 2, 6, 6, 5, 5, 7, 7, 7, 3, 3, 6, 6, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 3, 3, 5, 5, 3, 3, 6, 6, 6, 6, 6, 6, 5, 5, 7, 7, 3, 3, 4, 5, 5, 6, 5, 5, 7, 5, 5, 7, 5, 4, 4, 10, 11, 11, 11, 11, 11, 11, 10, 10, 10, 9, 9, 10, 8, 8, 10, 8, 5, 5, 6, 7, 8, 6, 6, 6, 11, 12, 10, 11, 11, 11, 11, 11, 10, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 10, 7, 7, 11, 12, 10, 11, 11, 11, 11, 11, 10, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 7, 7, 11, 12, 10, 11, 11, 11, 11, 11, 10, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 10, 7, 7, 11, 12, 10, 11, 11, 11, 11, 11, 10, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 5, 5, 8, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 8, 9, 9, 9, 9, 7, 7, 9, 10, 8, 9, 9, 9, 9, 9, 9, 9, 5, 5, 8, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 8, 9, 9, 9, 9, 7, 7, 9, 10, 8, 9, 9, 9, 9, 9, 9, 9, 5, 5, 8, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 8, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 8, 9, 9, 9, 7, 7, 8, 8, 10, 11, 9, 10, 10, 10, 10, 10, 10, 8, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 9, 10, 8, 9, 9, 9, 9, 9, 9, 9, 5, 5, 8, 9, 9, 9, 7, 7, 8, 8, 10, 11, 9, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 3, 3, 0, 6, 6, 0, 0, 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, 1, 2, 2, 2, 2, 10, 10, 10, 0, 10, 10, 0, 10, 10, 0, 0, 11, 11, 0, 11, 11, 0, 12, 12, 0, 1, 2, 1, 4, 1, 6, 6, 12, 12, 0, 0, 13, 13, 0, 1, 2, 1, 4, 1, 6, 6, 13, 13, 0, 14, 14, 0, 1, 2, 1, 4, 1, 6, 6, 14, 14, 0, 15, 15, 0, 1, 2, 1, 4, 15, 15, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 18, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 4, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2 ]
[ 1070, 5034, 32, 90, 867, 97, 476, 81, 3922, 1188, 12259, 203, 1070, 5034, 32, 90, 867, 97, 476, 81, 1262, 32, 1495, 1188, 308, 28651, 30, 284, 13055, 42, 30, 13055, 35, 40, 30, 13055, 36, 38, 30, 13055, 37, 36, 30, 13055, 40, 38, 30, 7819, 30, 284, 45588, 30, 892, 30, 29443, 3644, 30, 16289, 3644, 30, 9282, 3644, 27, 203, 1070, 5034, 32, 90, 867, 97, 476, 81, 1262, 32, 29393, 1188, 498, 780, 35303, 81, 34275, 203, 1070, 5034, 32, 90, 867, 97, 476, 81, 1262, 32, 4280, 1188, 3714, 1250, 30, 13462, 974, 891, 203, 1070, 5034, 32, 90, 867, 97, 476, 81, 3922, 32, 2282, 32, 4463, 37, 36, 1188, 23645, 203, 28077, 81, 20509, 81, 38390, 1016, 280, 225, 34, 106, 35, 203, 28077, 81, 20509, 81, 11989, 81, 19842, 280, 225, 34, 106, 36, 203, 28077, 81, 20509, 81, 1304, 37, 36, 280, 225, 34, 106, 35, 34, 203, 28077, 81, 20509, 81, 25370, 280, 225, 34, 106, 35, 35, 203, 28077, 81, 20509, 81, 1713, 280, 225, 34, 106, 35, 36, 203, 28077, 81, 20509, 81, 8590, 55, 81, 852, 1304, 74, 280, 225, 34, 106, 35, 37, 203, 28077, 81, 20509, 81, 4530, 280, 225, 34, 106, 35, 38, 203, 28077, 81, 20509, 81, 4975, 81, 11695, 280, 225, 34, 106, 35, 39, 203, 28077, 81, 20509, 81, 33305, 14472, 35, 40, 280, 225, 34, 106, 35, 40, 203, 28077, 81, 20509, 81, 34938, 35291, 81, 33593, 81, 10393, 280, 225, 34, 106, 35, 41, 203, 28077, 81, 20509, 81, 18715, 5060, 81, 7100, 2319, 81, 11989, 280, 225, 34, 106, 35, 42, 203, 28077, 81, 20509, 81, 20369, 280, 225, 34, 106, 35, 43, 203, 28077, 81, 20509, 81, 1304, 59, 81, 852, 1304, 74, 280, 225, 34, 106, 35, 84, 203, 28077, 81, 20509, 81, 2319, 280, 301, 284, 24533, 81, 20509, 81, 38390, 1016, 44, 313, 776, 13033, 3899, 4169, 2154, 1604, 15521, 20, 766, 291, 474, 313, 884, 21331, 392, 284, 24533, 81, 20509, 81, 11989, 81, 19842, 44, 313, 776, 13033, 3899, 4169, 2154, 1604, 15521, 20, 766, 291, 474, 313, 1159, 2179, 3417, 810, 312, 23645, 392, 284, 24533, 81, 20509, 81, 1304, 37, 36, 44, 313, 1304, 37, 36, 29, 6779, 7510, 1778, 392, 284, 24533, 81, 20509, 81, 25370, 44, 313, 2731, 31, 383, 9680, 4402, 392, 284, 24533, 81, 20509, 81, 1713, 44, 313, 9061, 277, 6779, 7510, 1778, 392, 284, 24533, 81, 20509, 81, 8590, 55, 81, 852, 1304, 74, 44, 313, 8590, 55, 17909, 10292, 392, 284, 24533, 81, 20509, 81, 4530, 44, 313, 2062, 30, 3319, 461, 26674, 392, 284, 24533, 81, 20509, 81, 4975, 81, 11695, 44, 313, 1240, 31, 39373, 636, 432, 322, 5398, 392, 284, 24533, 81, 20509, 81, 33305, 14472, 35, 40, 44, 313, 39086, 31, 1621, 225, 35, 40, 31, 2400, 2783, 55, 392, 284, 24533, 81, 20509, 81, 34938, 35291, 81, 33593, 81, 10393, 44, 313, 1164, 506, 14523, 18680, 1778, 392, 284, 24533, 81, 20509, 81, 18715, 5060, 81, 7100, 2319, 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, 2, 3, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 5, 5, 7, 7, 7, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 3, 3, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 4, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 2, 2, 2, 2, 2, 2, 1, 4, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 1, 2, 2, 2, 2, 2, 2, 1, 4, 1, 6, 6, 6, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 7, 7, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 9, 9, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 13, 13, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 15, 15, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 17, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 19, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 203, 1070, 32714, 107, 32, 1204, 8281, 1734, 32, 7920, 1188, 18044, 2359, 16653, 203, 1070, 32714, 107, 32, 525, 1188, 13030, 1397, 203, 1070, 32714, 107, 32, 1204, 1188, 6116, 203, 1070, 32714, 107, 32, 1204, 8281, 1734, 32, 916, 3922, 1188, 13030, 2825, 2359, 16653, 203, 1070, 32714, 107, 32, 1204, 8281, 1734, 32, 1872, 696, 1188, 358, 41177, 2359, 16653, 30, 3772, 33130, 696, 2359, 16653, 203, 1070, 3312, 1188, 622, 81, 33003, 203, 1070, 3312, 32, 858, 81, 1204, 8281, 1734, 1188, 3772, 203, 823, 3772, 33130, 696, 2359, 16653, 7233, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 6390, 26, 784, 711, 291, 4159, 280, 1524, 46, 916, 772, 1816, 772, 1311, 48, 1969, 1780, 46, 1311, 48, 291, 333, 1548, 772, 98, 772, 83, 976, 347, 1094, 33, 35, 36, 32, 916, 413, 1097, 225, 35, 36, 377, 83, 855, 98, 48, 291, 333, 98, 772, 83, 976, 3784, 7468, 32, 916, 413, 11936, 1770, 377, 83, 855, 98, 48, 291, 333, 1275, 1561, 3784, 5370, 32, 1645, 20, 3372, 347, 12309, 15846, 308, 1206, 312, 2552, 4731, 1681, 291, 333, 98, 772, 83, 976, 5062, 2455, 2579, 32, 916, 413, 8381, 6215, 377, 83, 855, 98, 48, 291, 333, 98, 772, 83, 976, 3784, 4168, 1837, 2395, 1837, 2691, 83, 855, 98, 48, 291, 333, 98, 772, 83, 976, 44199, 9278, 98, 48, 291, 576, 1548, 855, 916, 48, 2993, 291, 1789, 280, 13030, 1397, 440, 525, 555, 2763, 32, 1088, 33, 6060, 1637, 33, 1055, 32, 916, 392, 3361, 47, 916, 27, 291, 42745, 280, 3772, 33130, 696, 2359, 16653, 346, 16189, 630, 32, 5299, 26, 16888, 32, 8281, 81, 7676, 26, 1986, 471, 656, 428, 2359, 26, 965, 1057, 525, 555, 2763, 32, 1088, 33, 6060, 1637, 33, 1094, 33, 35, 36, 32, 916, 370, 1344, 1057, 1097, 225, 35, 36, 1425, 3775, 6116, 26, 965, 1057, 525, 555, 2763, 32, 1088, 33, 7468, 32, 916, 370, 1344, 1057, 11936, 1770, 1425, 3775, 6116, 26, 965, 1057, 525, 555, 2763, 32, 1088, 33, 2455, 2579, 32, 916, 370, 1344, 1057, 8381, 6215, 1425, 3775, 6116, 26, 965, 1057, 525, 555, 2763, 32, 1088, 13093, 1344, 1057, 2005, 1425, 3775, 6116, 26, 965, 1057, 525, 555, 2763, 32, 1088, 13093, 1344, 32601, 1130, 284, 665, 894, 81, 1439, 81, 965, 26, 784, 711, 291, 4159, 280, 1524, 46, 916, 772, 1816, 772, 1311, 48, 1969, 1780, 46, 1311, 772, 1439, 976, 347, 525, 555, 2455, 4116, 32, 508, 33, 1439, 5681, 1681, 291, 333, 1548, 772, 98, 772, 83, 976, 347, 1094, 33, 35, 36, 32, 916, 413, 1097, 225, 35, 36, 377, 83, 855, 98, 48, 291, 576, 1548, 855, 916, 48, 2993, 291, 1789, 280, 13030, 1397, 440, 525, 555, 2763, 32, 1088, 33, 6060, 1637, 33, 1055, 32, 916, 392, 3361, 47, 916, 27, 291, 42745, 280, 3772, 33130, 696, 2359, 16653, 346, 16189, 630, 32, 5299, 26, 16888, 32, 8281, 81, 7676, 26, 1986, 471, 656, 428, 2359, 26, 965, 1057, 525, 555, 2455, 4116, 32, 508 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 8, 4, 4, 6, 6, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 10, 9, 7, 7, 10, 10, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 11, 13, 13, 13, 13, 13, 8, 8, 10, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 11, 13, 13, 13, 8, 8, 10, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 11, 13, 13, 13, 8, 8, 10, 12, 11, 13, 13, 13, 13, 13, 13, 10, 11, 13, 13, 8, 8, 10, 12, 11, 13, 13, 13, 13, 13, 13, 10, 11, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 8, 4, 4, 6, 6, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 10, 9, 7, 7, 10, 10, 12, 11, 13, 13, 13, 13, 13, 13 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 4, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 2, 2, 1, 4, 4, 4, 4, 0, 0, 0, 0, 5, 5, 0, 1, 2, 2, 2, 1, 4, 4, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 7, 7, 1, 2, 2, 2, 2, 2, 7, 7, 0, 8, 8, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 8, 8, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 2, 3, 3, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 3, 3, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 3, 3, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 3, 3, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 1, 1, 1, 1, 1, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 5237, 203, 1070, 533, 25671, 32, 13261, 766, 284, 1188, 766, 291, 1420, 81, 8246, 203, 1070, 533, 25671, 32, 1819, 766, 284, 1188, 766, 291, 622, 81, 84, 1381, 30, 622, 81, 4687, 203, 1070, 533, 25671, 32, 468, 708, 17206, 32, 88, 468, 708, 17206, 766, 284, 1188, 766, 291, 1505, 81, 88, 10199, 30, 1505, 81, 43831, 81, 10529, 81, 4555, 30, 766, 291, 1505, 81, 43831, 81, 4689, 81, 4545, 30, 1505, 81, 43831, 81, 11215, 81, 1831, 30, 766, 291, 1505, 81, 43831, 81, 95, 43237, 203, 589, 8488, 26, 2095, 711, 284, 3692, 32, 539, 81, 4280, 14141, 288, 912, 101, 392, 313, 21937, 8246, 6890, 284, 3692, 32, 944, 81, 3732, 440, 43831, 657, 284, 3692, 32, 29822, 1365, 43831, 6494, 7799, 26, 26257, 18278, 89, 43831, 6890, 284, 1505, 81, 88, 10199, 26, 2095, 27, 284, 1505, 81, 43831, 81, 10529, 81, 4555, 26, 2095, 27, 284, 1505, 81, 43831, 81, 4689, 81, 4545, 26, 2095, 27, 284, 1505, 81, 43831, 81, 11215, 81, 1831, 26, 2095, 27, 284, 1505, 81, 43831, 81, 95, 43237, 26, 2095, 27, 203, 589, 1968, 26, 2095, 711, 284, 4906, 280, 3692, 32, 29822, 1365, 43831, 1446, 284, 4906, 32, 5784, 440, 88, 1632, 392, 3037, 1617, 33, 1632, 32, 88, 6890, 284, 4906, 280, 3692, 32, 29822, 1365, 288, 912, 101, 1446, 284, 4906, 32, 5784, 440, 85, 1632, 392, 3037, 1617, 33, 1632, 32, 85, 6890, 284, 4906, 280, 3692, 32, 29822, 1365, 21937, 8246, 1446, 284, 4906, 32, 5784, 440, 21937, 1632, 392, 3037, 1617, 33, 1632, 32, 21937, 6890, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 3692, 280, 622, 81, 4687, 346, 284, 8488, 26, 2095, 27, 284, 3692, 32, 2157, 346, 284, 3692, 280, 622, 81, 84, 1381, 346, 284, 1968, 26, 2095, 27, 284, 1420, 81, 8246, 26, 2095, 27, 284, 3692, 32, 2157, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 1, 2, 1, 1, 2, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 2, 1, 1, 2, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 2, 1, 1, 2, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 5, 6, 6, 6, 5, 8, 8, 8, 8, 6, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 2, 2, 7, 8, 6, 8, 8, 6, 5, 7, 6, 9, 9, 9, 2, 2, 5, 5, 5, 5, 6, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 6, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 6, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 6, 5, 2, 2, 5, 5, 5, 5, 5, 5, 6, 5, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 7, 5, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 5, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 5, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 5, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 5, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 5, 8, 8, 8, 8, 8, 8, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 6, 6, 6, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 2, 2, 4, 4, 6, 6, 6, 6, 2, 2, 5, 6, 5, 2, 2, 5, 5, 5, 6, 5, 2, 2, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 2, 1, 1, 4, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 4, 2, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 2, 2, 1, 4, 4, 4, 4, 3, 2, 3, 3, 4, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 9, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 14, 3, 0, 0, 0, 0, 0, 0, 4, 4, 2, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 0, 5, 5, 2, 1, 2, 5, 5, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 0, 0, 0, 0, 1, 3, 3, 1, 1, 1, 3, 3, 0, 2, 1, 3, 3, 0, 0, 0, 0, 0, 1, 3, 3, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 6375, 959, 1188, 6375, 959, 203, 1070, 345, 39, 32, 6002, 959, 1188, 9296, 959, 203, 1070, 345, 39, 32, 2132, 1188, 319, 203, 1070, 345, 39, 32, 5866, 1188, 319, 203, 823, 6375, 14003, 26, 6002, 959, 711, 284, 827, 280, 330, 2289, 14003, 25, 284, 281, 2369, 81, 2111, 280, 313, 1835, 33, 1835, 81, 17099, 32, 10429, 20, 203, 823, 6375, 14003, 8536, 26, 2289, 959, 711, 284, 827, 280, 330, 2289, 14003, 8536, 25, 284, 281, 2369, 81, 2111, 280, 313, 1835, 33, 1835, 81, 17099, 81, 8231, 32, 10429, 20, 284, 6514, 280, 18377, 3437, 440, 8798, 2601, 657, 284, 22070, 280, 12441, 789, 3437, 440, 25211, 2601, 657, 284, 10895, 81, 2671, 280, 12441, 789, 3437, 440, 7886, 436, 22070, 657, 284, 2349, 81, 2671, 280, 18377, 3437, 440, 7886, 436, 6514, 657, 284, 17161, 81, 2585, 280, 16990, 32, 5957, 26, 2700, 30, 313, 20299, 2625, 49025, 1755, 657, 284, 2349, 17099, 280, 16990, 32, 2289, 14003, 440, 1810, 7176, 623, 1604, 9300, 101, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 8, 8, 8, 2, 2, 4, 4, 6, 6, 6, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 6, 6, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 6, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 6, 6, 8, 8, 8, 8, 8, 2, 2, 5, 4, 4, 6, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 1, 2, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 2, 1, 1, 2, 5, 5, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 37252, 203, 605, 280, 37252, 32, 5297, 1599, 440, 1211, 93, 35, 657, 203, 86, 36, 280, 37252, 32, 5041, 14141, 83, 392, 313, 84, 392, 313, 87, 392, 313, 107, 3439, 706, 32, 4116, 27, 203, 2763, 280, 706, 77, 39, 39, 79, 203, 1216, 2280, 203, 2763, 36, 280, 343, 36, 26, 2763, 27, 203, 1216, 2280, 36, 203, 2763, 36, 280, 37252, 32, 5297, 26, 86, 36, 30, 2280, 27, 203, 1216, 2280, 36, 203, 605, 36, 280, 37252, 32, 5297, 1599, 26, 86, 36, 30, 706, 27, 203, 1216, 706, 36, 77, 39, 39, 79, 203, 86, 36, 32, 669, 2859, 26, 18535, 32, 890, 2859, 314, 1026, 37252, 32, 3670, 3818, 440, 105, 2131, 203, 605, 36, 280, 37252, 32, 5297, 1599, 26, 86, 36, 30, 706, 27, 203, 1216, 706, 36, 77, 39, 39, 79, 203, 1431, 1464, 280, 37252, 32, 3670, 3818, 440, 1431, 1464, 657, 203, 314, 280, 37252, 32, 890, 2859, 314, 346, 203, 605, 32, 4116, 32, 669, 2859, 26, 314, 30, 3980, 1464, 27, 203, 1216, 706, 77, 39, 39, 79, 203, 1216, 706, 32, 4116, 32, 2040, 2859, 26, 314, 27, 203, 1216, 706, 32, 4116, 32, 2040, 2859, 26, 314, 31, 35, 27, 203, 979, 2280, 328, 706, 44, 284, 2280, 77, 1431, 1464, 79, 280, 225, 34, 203, 18838, 280, 37252, 32, 30886, 307, 1475, 23588, 26, 605, 27, 203, 979, 2280, 328, 706, 44, 284, 415, 2280, 32, 371, 823, 346, 863, 18602, 26, 2763, 711, 291, 2280, 77, 1431, 1464, 79, 1454, 225, 35, 203, 979, 2280, 328, 706, 44, 284, 1459, 2280, 203, 605, 280, 37252, 32, 5297, 1599, 440, 1211, 93, 35, 657, 203, 4116, 280, 706, 32, 4116, 203, 86, 36, 280, 37252, 32, 5041, 14141, 83, 392, 313, 84, 392, 313, 87, 392, 313, 107, 3439, 5880, 27, 203, 979, 5601, 328, 3037, 85, 392, 313, 86, 392, 313, 88, 18270, 284, 343, 36, 32, 669, 2859, 26, 18535, 32, 890, 2859, 314, 1026, 5880, 77, 2437, 1130, 203, 86, 36, 32, 669, 2859, 26, 18535, 32, 890, 2859, 314, 1026, 37252, 32, 2759, 3818, 440, 74, 2131, 203, 605, 36, 280, 37252, 32, 5297, 1599, 26, 86, 36, 30, 706, 27, 203, 1216, 706, 77, 39, 39, 79, 203, 1216, 706, 36, 77, 39, 39, 79, 203, 7005, 280, 429, 43, 43, 203, 49070, 280, 429, 35, 34, 34, 203, 605, 32, 4116, 32, 669, 2859, 26, 49070, 30, 37252, 32, 3670, 3818, 440, 3648, 2113, 3177, 27, 203, 605, 32, 4116, 32, 669, 2859, 26, 7005, 30, 37252, 32, 3670, 3818, 440, 5301, 2113, 2933, 27, 203, 1216, 706, 32, 4116, 32, 297, 7556, 4232, 26, 7005, 27, 203, 1216, 706, 32, 4116, 32, 297, 7556, 4232, 26, 49070, 27, 203, 1216, 706, 32, 4116, 32, 371, 34492, 346, 203, 1216, 706, 32, 4116, 32, 371, 34492, 26, 1815, 27, 203, 1216, 706, 32, 4116, 32, 371, 34492, 26, 2700, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 3, 2, 2, 4, 5, 5, 4, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 5, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 4, 5, 6, 4, 0, 3, 2, 2, 3, 4, 4, 3, 0, 1, 1, 0, 3, 3, 2, 2, 4, 4, 5, 4, 0, 1, 1, 2, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 4, 4, 4, 0, 1, 1, 2, 0, 3, 3, 2, 2, 4, 5, 5, 4, 5, 5, 4, 4, 4, 0, 1, 1, 3, 2, 3, 3, 2, 0, 4, 4, 3, 4, 4, 3, 6, 5, 6, 6, 6, 5, 3, 5, 6, 6, 5, 7, 7, 0, 3, 3, 2, 2, 4, 5, 5, 4, 5, 5, 4, 4, 4, 0, 1, 1, 3, 2, 3, 3, 2, 0, 3, 3, 2, 2, 4, 5, 5, 4, 6, 6, 6, 0, 3, 2, 2, 4, 5, 5, 5, 4, 0, 5, 4, 5, 3, 4, 4, 3, 4, 3, 3, 4, 3, 0, 1, 1, 2, 3, 3, 2, 0, 1, 1, 4, 5, 3, 4, 4, 3, 4, 3, 0, 1, 1, 4, 5, 3, 4, 4, 3, 5, 4, 5, 3, 0, 1, 1, 1, 1, 1, 1, 1, 5, 6, 6, 5, 4, 4, 5, 0, 3, 2, 2, 4, 5, 5, 5, 5, 4, 5, 4, 0, 1, 1, 1, 1, 1, 1, 1, 3, 6, 7, 7, 6, 4, 4, 6, 7, 6, 3, 3, 7, 8, 8, 7, 6, 6, 7, 0, 1, 1, 1, 1, 1, 1, 1, 3, 0, 3, 2, 2, 4, 5, 5, 4, 6, 6, 6, 6, 0, 3, 2, 2, 3, 4, 0, 3, 3, 2, 2, 4, 5, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 4, 4, 0, 1, 1, 1, 1, 4, 4, 2, 4, 4, 2, 4, 4, 1, 1, 6, 5, 6, 6, 5, 8, 7, 8, 8, 8, 7, 5, 6, 7, 6, 0, 4, 4, 3, 4, 4, 3, 6, 5, 6, 6, 6, 5, 3, 5, 6, 6, 5, 7, 7, 0, 3, 3, 2, 2, 4, 5, 5, 4, 5, 5, 4, 4, 4, 0, 1, 1, 2, 3, 3, 2, 0, 1, 1, 3, 2, 3, 3, 2, 0, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 4, 0, 5, 4, 5, 3, 4, 4, 3, 4, 3, 3, 5, 6, 6, 5, 7, 7, 3, 3, 0, 5, 4, 5, 3, 4, 4, 3, 4, 3, 3, 5, 6, 6, 5, 7, 7, 3, 3, 0, 1, 1, 4, 5, 3, 4, 4, 4, 3, 4, 3, 0, 1, 1, 4, 5, 3, 4, 4, 4, 3, 4, 3, 0, 1, 1, 4, 5, 3, 4, 4, 3, 0, 1, 1, 4, 5, 3, 4, 4, 3, 4, 3, 0, 1, 1, 4, 5, 3, 4, 4, 3, 4, 3, 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, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 6, 6, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 8, 8, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 10, 10, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 13, 13, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 3, 1, 0, 17, 17, 1, 2, 2, 1, 0, 18, 18, 0, 2, 0, 2, 2, 1, 1, 1, 0, 19, 19, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 20, 20, 20, 20, 20, 20, 20, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 22, 22, 22, 22, 22, 22, 22, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 23, 23, 23, 23, 23, 23, 23, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 27, 27, 27, 27, 1, 2, 3, 1, 2, 3, 1, 2, 27, 27, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 3, 2, 3, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 30, 30, 1, 2, 2, 1, 0, 31, 31, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 36, 36, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 37, 37, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 38, 38, 0, 2, 0, 2, 2, 1, 0, 39, 39, 0, 2, 0, 2, 2, 1, 1, 1, 0, 40, 40, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 505, 2116, 505, 280, 313, 28225, 673, 24410, 1384, 333, 1499, 32, 45577, 11219, 1384, 32, 1088, 5844, 203, 465, 1133, 203, 465, 13575, 203, 465, 3498, 203, 49043, 81, 4804, 280, 225, 36, 34, 32, 34, 203, 823, 15919, 1711, 44, 284, 665, 1156, 1664, 3207, 784, 30, 296, 500, 7199, 30, 27245, 47, 2521, 711, 291, 630, 32, 7199, 280, 296, 500, 7199, 291, 630, 32, 24239, 280, 27245, 284, 665, 1420, 26, 784, 711, 291, 3636, 10091, 440, 7129, 1711, 36680, 2298, 2054, 1420, 1411, 657, 203, 823, 25282, 1711, 44, 284, 665, 1156, 1664, 3207, 784, 30, 296, 500, 7199, 30, 30273, 30, 3309, 30, 1451, 47, 35, 30, 7898, 47, 34, 32, 34, 30, 27245, 47, 2521, 30, 1256, 605, 47, 2521, 711, 291, 630, 32, 7199, 647, 280, 296, 500, 7199, 291, 630, 32, 23283, 261, 280, 30273, 291, 630, 32, 4383, 280, 1476, 30386, 85, 291, 630, 32, 2171, 261, 280, 1451, 291, 630, 32, 7568, 280, 7898, 291, 630, 32, 24239, 261, 280, 27245, 291, 630, 32, 15539, 280, 1256, 605, 291, 630, 32, 1978, 1043, 280, 225, 34, 32, 34, 284, 665, 1420, 26, 784, 711, 291, 415, 630, 32, 24239, 438, 646, 1665, 461, 1133, 32, 1003, 346, 848, 630, 32, 24239, 44, 324, 442, 3177, 291, 4348, 1133, 32, 1003, 346, 333, 630, 32, 1978, 1043, 429, 41689, 81, 4804, 44, 4288, 442, 2933, 291, 813, 44, 324, 630, 32, 7199, 32, 7761, 81, 23283, 26, 784, 32, 23283, 27, 324, 1133, 32, 7840, 26, 49043, 81, 4804, 27, 324, 2218, 630, 32, 2171, 848, 225, 34, 44, 400, 630, 32, 4383, 26, 784, 32, 7199, 32, 10799, 1026, 630, 32, 23283, 30, 630, 32, 2171, 379, 35, 30, 630, 32, 15539, 27, 400, 630, 32, 2171, 5912, 225, 35, 400, 415, 630, 32, 7568, 2511, 41689, 81, 4804, 44, 528, 1133, 32, 7840, 26, 784, 32, 7568, 27, 400, 813, 44, 528, 630, 32, 1978, 1043, 280, 1133, 32, 1003, 346, 474, 630, 32, 7568, 429, 41689, 81, 4804, 528, 442, 2933, 324, 442, 3177, 203, 823, 506, 500, 7199, 11434, 26, 13261, 32, 11434, 711, 284, 313, 51, 13575, 2818, 436, 312, 2702, 296, 500, 7199, 20, 284, 665, 1156, 1664, 3207, 784, 30, 296, 500, 7199, 711, 291, 13575, 32, 11434, 3667, 1664, 3207, 784, 27, 291, 630, 32, 7199, 280, 296, 500, 7199, 284, 665, 10426, 26, 784, 30, 9958, 30, 30273, 30, 3309, 30, 27245, 47, 2521, 30, 1256, 605, 47, 2521, 711, 291, 630, 32, 1689, 26, 9786, 30, 25282, 1711, 26, 784, 32, 7199, 30, 30273, 30, 3309, 30, 27245, 47, 24239, 30, 1256, 605, 47, 15539, 490, 284, 665, 7898, 26, 784, 30, 9958, 30, 30273, 30, 3309, 30, 1451, 30, 7918, 30, 27245, 47, 2521, 30, 1256, 605, 47, 2521, 711, 291, 630, 32, 1689, 26, 9786, 30, 25282, 1711, 26, 784, 32, 7199, 30, 30273, 30, 3309, 30, 1451, 30, 7918, 30, 27245, 30, 1256, 605, 490, 284, 665, 5523, 9107, 26, 784, 711, 291, 313, 1711, 1412, 2017, 884, 1289 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 6, 6, 4, 4, 5, 6, 4, 4, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 6, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 6, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 9, 7, 7, 7, 6, 6, 9, 10, 9, 7, 7, 8, 9, 5, 5, 5, 7, 5, 5, 6, 9, 10, 9, 7, 7, 9, 10, 10, 8, 8, 9, 9, 6, 6, 6, 8, 5, 5, 6, 6, 6, 11, 12, 10, 11, 11, 11, 10, 12, 11, 12, 10, 7, 7, 10, 11, 10, 11, 11, 11, 10, 7, 7, 8, 10, 11, 9, 9, 10, 8, 8, 8, 12, 13, 12, 16, 15, 16, 14, 15, 14, 12, 13, 14, 12, 12, 14, 15, 13, 14, 12, 12, 13, 14, 12, 9, 9, 12, 13, 11, 11, 12, 9, 9, 10, 12, 13, 11, 11, 12, 12, 10, 10, 10, 14, 15, 14, 16, 15, 16, 14, 10, 10, 11, 11, 11, 15, 16, 16, 14, 14, 18, 19, 18, 16, 16, 17, 18, 15, 15, 16, 16, 12, 12, 13, 7, 7, 8, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 6, 5, 6, 4, 3, 3, 7, 8, 7, 8, 7, 7, 9, 9, 11, 10, 11, 9, 9, 9, 9, 9, 9, 10, 11, 9, 9, 11, 10, 11, 9, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 6, 5, 6, 4, 3, 3, 7, 8, 7, 8, 7, 7, 9, 9, 11, 10, 11, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 5, 5, 1, 5, 5, 5, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 3, 3, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 1, 6, 6, 6, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 2, 2, 2, 13, 2, 2, 2, 0, 15, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 3, 3, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 4, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 5, 5, 5, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 3, 2, 1, 1, 0, 2, 5, 2, 1, 1, 7, 2, 1, 3, 3, 0, 2, 0, 0, 2, 3, 3, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 4, 4, 4, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 0, 7, 7, 1, 1, 1, 2, 0, 1, 2, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 0, 11, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 7, 2, 1, 1, 0, 9, 2, 1, 4, 4, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 13, 2, 2, 2, 0, 15, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 13, 1, 4, 4, 4, 1, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1 ]
[ 588, 264, 588, 264, 588, 225, 5286, 418, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 46474, 203, 823, 12994, 81, 8800, 299, 26, 494, 32, 1243, 711, 284, 617, 6815, 280, 313, 9729, 32, 8800, 299, 20, 284, 617, 6057, 280, 301, 291, 330, 13678, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 33109, 32, 13678, 370, 330, 11343, 1425, 284, 320, 284, 665, 1487, 26, 784, 30, 5564, 30, 12373, 30, 20200, 30, 1619, 47, 2521, 711, 291, 415, 2726, 426, 25, 646, 328, 20200, 27, 556, 308, 9359, 32, 371, 463, 426, 683, 610, 3056, 7831, 324, 6613, 81, 2067, 280, 630, 32, 5178, 32, 371, 463, 476, 32, 7508, 683, 324, 415, 20200, 710, 681, 785, 610, 330, 3259, 950, 400, 8690, 81, 2067, 81, 426, 280, 630, 1114, 426, 324, 813, 44, 400, 8690, 81, 2067, 81, 426, 280, 330, 9729, 32, 8800, 299, 4564, 474, 20200, 710, 681, 785, 324, 20200, 710, 426, 785, 280, 6613, 81, 2067, 32, 371, 26, 2446, 30, 12373, 30, 8690, 81, 2067, 81, 426, 30, 3391, 1619, 47, 1819, 27, 291, 537, 81, 314, 280, 2599, 26, 9729, 81, 8800, 299, 30, 630, 547, 1297, 26, 2446, 30, 12373, 30, 20200, 30, 17739, 1619, 47, 1819, 27, 291, 442, 537, 81, 314, 203, 823, 12994, 81, 8800, 299, 81, 541, 26, 494, 32, 1243, 711, 284, 617, 6815, 280, 313, 9729, 32, 8800, 299, 32, 541, 20, 284, 617, 6057, 280, 301, 291, 330, 13678, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 33109, 32, 13678, 370, 330, 11343, 1425, 284, 320, 203, 823, 12994, 81, 8800, 299, 81, 541, 26, 494, 32, 1243, 711, 284, 617, 6815, 280, 313, 9729, 32, 8800, 299, 32, 266, 20, 284, 617, 6057, 280, 301, 291, 330, 13678, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 33109, 32, 13678, 370, 330, 11343, 1425, 284, 320, 203, 21, 31124, 38526, 350, 12994, 81, 1500, 26, 494, 32, 1243, 711, 284, 617, 6815, 280, 313, 9729, 32, 1500, 20, 284, 665, 1487, 26, 784, 30, 5564, 30, 12373, 30, 20200, 30, 1619, 47, 2521, 711, 291, 5169, 81, 314, 280, 2599, 26, 9729, 81, 1500, 30, 630, 547, 1297, 26, 2446, 30, 12373, 30, 20200, 30, 1619, 47, 1819, 27, 291, 415, 20200, 32, 371, 463, 8800, 299, 81, 314, 7831, 324, 42410, 81, 2067, 280, 630, 32, 5178, 32, 371, 463, 9729, 32, 8800, 299, 683, 324, 42410, 280, 42410, 81, 2067, 32, 14304, 26, 2446, 30, 12373, 30, 20200, 710, 8800, 299, 81, 314, 2188, 11244, 1619, 47, 1819, 27, 324, 415, 42410, 32, 13678, 81, 314, 461, 42410, 32, 681, 610, 1044, 25, 266, 950, 400, 630, 32, 1821, 26, 2446, 30, 12373, 30, 5169, 81, 314, 30, 5053, 1293, 950, 330, 22704, 8885, 6029, 1619, 47, 1819, 27, 291, 442, 5169, 81, 314, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 5, 5, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 10, 10, 8, 8, 8, 7, 6, 6, 11, 10, 11, 10, 12, 12, 8, 8, 10, 5, 5, 9, 9, 8, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 6, 6, 7, 9, 11, 11, 8, 8, 10, 10, 7, 7, 11, 11, 11, 11, 10, 10, 11, 12, 7, 7, 8, 8, 8, 12, 12, 12, 12, 11, 11, 14, 14, 14, 14, 14, 12, 12, 13, 15, 15, 6, 6, 9, 11, 11, 8, 8, 11, 11, 10, 11, 10, 11, 10, 10, 10, 10, 11, 11, 11, 11, 10, 10, 10, 11, 12, 10, 4, 4, 7, 7, 6, 6, 10, 11, 11, 11, 11, 10, 10, 10, 9, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 10, 8, 4, 4, 5, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 5, 5, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 7, 6, 6, 10, 11, 11, 11, 10, 10, 10, 9, 8, 9, 8, 8, 8, 8, 8, 8, 9, 10, 8, 4, 4, 5, 7, 8, 7, 9, 9, 9, 9, 9, 5, 5, 9, 9, 8, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 12, 6, 6, 8, 8, 11, 11, 10, 11, 10, 11, 10, 10, 10, 10, 11, 13, 13, 13, 13, 13, 10, 10, 11, 12, 10, 6, 6, 7, 9, 10, 10, 10, 8, 8, 10, 11, 9, 9, 11, 11, 11, 7, 7, 11, 12, 11, 12, 11, 11, 11, 11, 12, 12, 11, 11, 15, 15, 13, 15, 15, 11, 11, 12, 13, 11, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 3, 3, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 1, 1, 1, 7, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 4, 4, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 4, 4, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 2, 1, 1, 7, 2, 1, 3, 3, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 2, 1, 1, 2, 1, 1, 9, 2, 1, 4, 4, 2, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 ]
[ 465, 5237, 203, 3731, 32, 983, 32, 1689, 10198, 683, 203, 465, 17679, 619, 310, 203, 465, 4684, 619, 337, 203, 7380, 81, 22934, 462, 280, 310, 32, 19511, 290, 4711, 440, 7380, 33896, 462, 657, 203, 3724, 14283, 280, 337, 32, 19511, 290, 959, 440, 3724, 14283, 392, 14716, 47, 36, 34, 40, 32, 36, 41, 30, 7678, 47, 38, 43, 32, 35, 42, 30, 20446, 1057, 43928, 370, 4121, 1057, 295, 3666, 683, 203, 95, 10888, 280, 337, 32, 19511, 290, 959, 440, 95, 10888, 392, 14716, 47, 36, 34, 34, 32, 41, 39, 30, 7678, 47, 39, 38, 32, 39, 39, 30, 20446, 1057, 43928, 370, 4121, 1057, 295, 3666, 683, 203, 279, 716, 349, 280, 337, 32, 19511, 290, 959, 440, 279, 716, 349, 392, 14716, 47, 35, 43, 37, 32, 39, 30, 7678, 47, 39, 39, 32, 39, 41, 30, 20446, 1057, 43928, 370, 4121, 1057, 295, 3666, 683, 203, 289, 4992, 108, 280, 337, 32, 19511, 290, 959, 440, 289, 4992, 108, 392, 14716, 47, 35, 42, 37, 32, 41, 39, 30, 7678, 47, 39, 41, 32, 34, 35, 30, 20446, 1057, 43928, 370, 4121, 1057, 295, 3666, 683, 203, 98, 292, 26479, 280, 337, 32, 19511, 290, 959, 440, 98, 292, 26479, 392, 14716, 47, 35, 41, 42, 32, 36, 39, 30, 7678, 47, 39, 37, 32, 38, 35, 30, 20446, 1057, 43928, 370, 4121, 1057, 295, 3666, 683, 203, 2302, 774, 280, 337, 32, 19511, 290, 959, 440, 2302, 774, 392, 14716, 47, 35, 40, 39, 32, 36, 39, 30, 7678, 47, 39, 40, 32, 36, 36, 30, 20446, 1057, 43928, 370, 4121, 1057, 295, 3666, 683, 203, 29603, 292, 280, 337, 32, 19511, 290, 959, 440, 29603, 292, 392, 14716, 47, 35, 40, 39, 32, 41, 39, 30, 7678, 47, 40, 35, 32, 38, 35, 30, 20446, 1057, 43928, 370, 4121, 1057, 295, 3666, 683, 203, 7380, 81, 22934, 462, 32, 669, 1212, 26, 3724, 14283, 27, 203, 7380, 81, 22934, 462, 32, 669, 1212, 26, 95, 10888, 27, 203, 7380, 81, 22934, 462, 32, 669, 1212, 26, 279, 716, 349, 27, 203, 7380, 81, 22934, 462, 32, 669, 1212, 26, 289, 4992, 108, 27, 203, 7380, 81, 22934, 462, 32, 669, 1212, 26, 98, 292, 26479, 27, 203, 7380, 81, 22934, 462, 32, 669, 1212, 26, 2302, 774, 27, 203, 7380, 81, 22934, 462, 32, 669, 1212, 26, 29603, 292, 27, 203, 7380, 81, 22934, 462, 32, 669, 6530, 26, 3724, 14283, 30, 345, 10888, 30, 7291, 47, 3724, 14283, 32, 12610, 26, 95, 10888, 30, 330, 8018, 1425, 1963, 347, 5466, 657, 203, 7380, 81, 22934, 462, 32, 669, 6530, 26, 95, 10888, 30, 743, 716, 349, 30, 7291, 47, 95, 10888, 32, 12610, 26, 279, 716, 349, 30, 330, 8018, 1425, 1963, 347, 5466, 657, 203, 7380, 81, 22934, 462, 32, 669, 6530, 26, 279, 716, 349, 30, 597, 4992, 108, 30, 7291, 47, 279, 716, 349, 32, 12610, 26, 289, 4992, 108, 30, 330, 8018, 1425, 1963, 347, 5466, 657, 203, 7380, 81, 22934, 462, 32, 669, 6530, 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, 5, 4, 5, 3, 4, 3, 5, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 6, 4, 5, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 4, 4, 5, 7, 7, 4, 5, 7, 7, 7, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 6, 4, 5, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 4, 4, 5, 7, 7, 4, 5, 7, 7, 7, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 6, 6, 4, 5, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 4, 4, 5, 7, 7, 4, 5, 7, 7, 7, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 6, 6, 4, 5, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 4, 4, 5, 7, 7, 4, 5, 7, 7, 7, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 6, 6, 4, 5, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 4, 4, 5, 7, 7, 4, 5, 7, 7, 7, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 6, 4, 5, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 4, 4, 5, 7, 7, 4, 5, 7, 7, 7, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 6, 4, 5, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 4, 4, 5, 7, 7, 4, 5, 7, 7, 7, 0, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 0, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 0, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 0, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 0, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 0, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 0, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 0, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 7, 7, 6, 7, 6, 7, 7, 6, 6, 8, 8, 3, 4, 6, 6, 0, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 7, 7, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 3, 4, 6, 6, 0, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 7, 7, 7, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 3, 4, 6, 6, 0, 4, 4, 4, 4, 3, 4, 4, 3 ]
[ 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 3, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 5, 2, 2, 2, 2, 2, 1, 1, 7, 1, 2, 1, 9, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 5, 2, 2, 2, 2, 2, 1, 1, 7, 1, 2, 1, 9, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 1, 1, 5, 2, 2, 2, 2, 2, 1, 1, 7, 1, 2, 1, 9, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 5, 2, 2, 2, 2, 2, 1, 1, 7, 1, 2, 1, 9, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 5, 2, 2, 2, 2, 2, 1, 1, 7, 1, 2, 1, 9, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 5, 2, 2, 2, 2, 2, 1, 1, 7, 1, 2, 1, 9, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 5, 2, 2, 2, 2, 2, 1, 1, 7, 1, 2, 1, 9, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 7, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1 ]
[ 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 3636, 3268, 440, 2272, 3261, 438, 312, 3973, 436, 9877, 4466, 461, 4881, 1420, 39851, 657, 203, 1070, 1593, 69, 7633, 8090, 1188, 319, 203, 823, 1593, 69, 4228, 1335, 32357, 44, 284, 477, 17614, 284, 665, 5400, 2333, 1972, 26, 6933, 30, 328, 7575, 711, 291, 415, 6227, 32, 3230, 922, 1622, 20691, 2262, 324, 328, 7575, 32, 1103, 3173, 1176, 26, 12794, 440, 1335, 4306, 2131, 324, 328, 7575, 32, 1103, 21844, 10215, 26, 12794, 440, 8331, 333, 6545, 48, 372, 1245, 963, 47136, 324, 328, 7575, 32, 1103, 953, 9030, 1176, 26, 301, 12794, 10374, 6545, 19830, 499, 29828, 440, 1335, 963, 657, 1790, 291, 813, 44, 324, 328, 7575, 32, 1103, 3173, 1176, 26, 12794, 440, 1335, 701, 2131, 324, 328, 7575, 32, 1103, 21844, 10215, 26, 12794, 440, 8331, 333, 6545, 48, 372, 1245, 328, 47136, 324, 328, 7575, 32, 1103, 953, 9030, 1176, 26, 301, 29828, 10374, 6545, 19830, 499, 29828, 440, 1335, 328, 657, 1790, 284, 477, 17614, 284, 665, 39514, 1972, 26, 6933, 711, 291, 415, 6227, 32, 3230, 922, 1622, 20691, 2262, 324, 636, 280, 6227, 32, 3230, 922, 25498, 8650, 346, 324, 6227, 32, 3230, 922, 1335, 1512, 346, 324, 2398, 32, 3230, 922, 2333, 346, 324, 11408, 32, 3230, 922, 8097, 3728, 340, 26, 1120, 3728, 340, 26, 29828, 440, 1240, 330, 657, 29, 426, 29, 12794, 27449, 12946, 963, 14036, 291, 813, 44, 324, 11408, 32, 3230, 922, 8097, 3728, 340, 26, 5324, 3728, 340, 1157, 284, 665, 7013, 26, 784, 711, 291, 9200, 265, 32, 4329, 11049, 25740, 383, 26, 324, 630, 30, 324, 330, 23475, 4241, 370, 4288, 301, 400, 330, 8470, 26319, 25, 499, 330, 21333, 81, 9036, 370, 400, 330, 8470, 417, 344, 4305, 25, 499, 225, 35, 34, 34, 30, 400, 330, 8470, 303, 407, 25, 499, 29828, 463, 1335, 701, 33, 1512, 1425, 400, 330, 1517, 1877, 4531, 25, 499, 1593, 69, 4228, 1335, 32357, 32, 1533, 2333, 1972, 30, 400, 330, 11432, 4531, 25, 499, 1593, 69, 4228, 1335, 32357, 32, 21236, 1972, 324, 320, 291, 829, 203, 26961, 4228, 1335, 32357, 922, 4329, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 5, 4, 4, 6, 10, 11, 10, 9, 9, 8, 6, 6, 11, 10, 11, 11, 11, 10, 12, 12, 14, 14, 14, 7, 7, 11, 10, 11, 11, 11, 10, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 7, 7, 11, 10, 11, 11, 11, 11, 10, 10, 14, 14, 16, 16, 12, 12, 14, 16, 16, 16, 11, 6, 6, 7, 7, 7, 12, 11, 12, 12, 12, 11, 13, 13, 15, 15, 15, 8, 8, 12, 11, 12, 12, 12, 11, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 8, 8, 12, 11, 12, 12, 12, 12, 11, 11, 12, 15, 17, 17, 13, 13, 15, 17, 17, 17, 12, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 10, 11, 10, 9, 9, 8, 6, 6, 9, 9, 13, 14, 13, 12, 12, 11, 7, 7, 12, 13, 12, 11, 11, 10, 7, 7, 12, 13, 12, 11, 10, 7, 7, 12, 13, 12, 11, 11, 11, 10, 12, 12, 12, 12, 12, 16, 18, 18, 18, 14, 15, 13, 15, 15, 17, 17, 17, 6, 6, 7, 7, 7, 13, 14, 13, 12, 12, 12, 11, 13, 13, 13, 13, 2, 2, 3, 4, 5, 4, 3, 3, 8, 7, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 9, 9, 9, 7, 7, 8, 8, 11, 11, 11, 9, 9, 11, 11, 11, 11, 8, 8, 11, 11, 11, 11, 11, 9, 9, 10, 10, 10, 8, 8, 8, 11, 11, 11, 11, 9, 9, 11, 13, 13, 13, 13, 13, 8, 8, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 10, 11, 11, 11, 8, 8, 8, 11, 11, 11, 9, 9, 11, 11, 11, 11, 10, 11, 11, 8, 8, 7, 7, 0, 5, 5, 5, 5, 5, 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 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 3, 3, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 4, 4, 4, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 3, 3, 0, 2, 1, 2, 2, 1, 3, 3, 0, 2, 1, 2, 1, 3, 3, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 3, 3, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 5, 5, 5, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 2, 2, 2, 2, 5, 5, 5, 1, 1, 2, 9, 9, 0, 0, 0, 0, 2, 2, 2, 5, 5, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 858, 1188, 19205, 30, 5675, 203, 823, 22901, 1637, 43144, 4470, 26, 7233, 711, 284, 37743, 280, 2107, 3287, 81, 6849, 5646, 785, 284, 19990, 280, 330, 11025, 32, 12023, 32, 6849, 5646, 32, 4882, 32, 11400, 25, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 1580, 280, 5675, 26, 44236, 81, 14250, 81, 17615, 47, 1815, 27, 291, 630, 32, 1455, 81, 47589, 35291, 81, 36850, 280, 4070, 32, 47589, 35291, 81, 36850, 291, 11913, 1637, 81, 11202, 81, 823, 280, 330, 11025, 32, 12023, 32, 6849, 5646, 32, 11202, 32, 12416, 1637, 24458, 11063, 25, 291, 23049, 81, 11202, 81, 823, 280, 330, 11025, 32, 11202, 32, 14250, 32, 17528, 4918, 1074, 11063, 25, 291, 415, 23049, 81, 11202, 81, 823, 646, 328, 4070, 32, 47589, 35291, 81, 36850, 44, 324, 4070, 32, 47589, 35291, 81, 36850, 1454, 308, 14250, 81, 11202, 81, 823, 21713, 291, 415, 11913, 1637, 81, 11202, 81, 823, 646, 328, 4070, 32, 47589, 35291, 81, 36850, 44, 324, 4070, 32, 47589, 35291, 81, 36850, 1454, 308, 6849, 1637, 81, 11202, 81, 823, 21713, 291, 630, 32, 1455, 81, 17143, 81, 31254, 280, 4070, 32, 17143, 81, 31254, 291, 4070, 32, 17143, 81, 31254, 280, 308, 324, 2322, 32, 983, 32, 2524, 26, 400, 2322, 32, 983, 32, 7781, 4064, 761, 36762, 400, 330, 8881, 25, 324, 2588, 291, 829, 291, 630, 32, 1455, 81, 23475, 81, 2413, 280, 4070, 32, 23475, 81, 2413, 291, 4070, 32, 23475, 81, 2413, 280, 3056, 12892, 33, 3615, 7404, 284, 665, 28921, 26, 784, 711, 291, 4070, 32, 47589, 35291, 81, 36850, 280, 630, 32, 1455, 81, 47589, 35291, 81, 36850, 291, 4070, 32, 17143, 81, 31254, 280, 630, 32, 1455, 81, 17143, 81, 31254, 291, 4070, 32, 23475, 81, 2413, 280, 630, 32, 1455, 81, 23475, 81, 2413, 284, 665, 894, 81, 1071, 81, 6849, 1637, 26, 784, 711, 291, 313, 51, 11913, 1637, 883, 526, 32613, 3919, 312, 2202, 30, 4444, 1412, 322, 12654, 438, 328, 793, 20, 291, 1789, 280, 630, 32, 1580, 32, 371, 3247, 6849, 1637, 81, 2388, 33, 6849, 1637, 25844, 291, 630, 32, 4983, 26, 1986, 32, 1517, 81, 687, 30, 225, 36, 34, 34, 27, 291, 630, 32, 45100, 26, 1986, 30, 3778, 98, 48, 1622, 96, 1330, 561, 11913, 12975, 98, 19830, 284, 665, 894, 81, 1071, 81, 3780, 81, 29801, 81, 6849, 1637, 26, 784, 711, 291, 313, 51, 2979, 31, 29801, 11913, 1637, 29657, 225, 38, 34, 38, 1412, 32613, 3919, 312, 2202, 30, 4444, 1412, 322, 12654, 438, 328, 793, 20, 291, 1789, 280, 630, 32, 1580, 32, 371, 3247, 6849, 1637, 81, 2388, 33, 1347, 81, 21886, 81, 6849, 1637, 25844, 291, 630, 32, 4983, 26, 1986, 32, 1517, 81, 687, 30, 225, 38, 34, 38, 27, 284, 665, 894, 81, 1071, 81, 22297, 81, 6849, 1637, 26, 784, 711, 291, 313, 51, 11913, 1637, 32613, 3919, 312, 2202, 883, 1205, 9156, 20, 291, 1789, 280, 630, 32, 1580, 32, 371, 3247 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 10, 10, 10, 10, 10, 9, 10, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 4, 4, 7, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 7, 7, 7, 7, 6, 6, 6, 7, 8, 8, 8, 8, 5, 5, 5, 9, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 9, 4, 4, 5, 7, 7, 7, 7, 7, 6, 6, 6, 7, 8, 8, 8, 8, 5, 5, 5, 9, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 9, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 10, 11, 9, 10, 9, 9, 9, 12, 13, 11, 12, 11, 12, 12, 9, 9, 11, 11, 9, 9, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 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, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 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, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 3, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 5, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 5, 5, 5, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 4, 4, 3, 2, 1, 2, 3, 3, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 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, 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, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1 ]
[ 1070, 28071, 32, 1237, 32, 3955, 1188, 3756, 619, 10176, 81, 3893, 203, 1070, 28071, 32, 1237, 32, 3955, 1188, 8745, 619, 4125, 81, 2304, 203, 1070, 28071, 32, 2282, 1188, 3756, 619, 4942, 81, 3893, 203, 1070, 28071, 32, 4882, 1188, 4942, 203, 823, 9045, 5240, 1006, 26, 2282, 32, 30866, 7233, 711, 284, 5881, 284, 11398, 322, 4125, 33, 3955, 4942, 6339, 284, 5881, 284, 665, 894, 81, 1643, 81, 1986, 26, 784, 711, 291, 1789, 280, 4125, 81, 2304, 32, 1643, 81, 1986, 440, 13611, 392, 313, 2900, 657, 291, 2799, 280, 5053, 13611, 1397, 950, 5053, 13611, 1394, 950, 330, 2900, 21028, 291, 630, 32, 5299, 26, 3140, 30, 1789, 27, 284, 665, 894, 81, 2132, 81, 8281, 26, 784, 711, 291, 298, 280, 5053, 3675, 32, 3656, 32, 35, 32, 3012, 953, 950, 330, 3986, 370, 1802, 330, 3675, 32, 3656, 32, 35, 32, 3012, 882, 950, 330, 1632, 370, 1802, 330, 3675, 32, 3656, 32, 36, 32, 3012, 953, 950, 330, 1551, 626, 370, 1802, 330, 3675, 32, 3656, 32, 36, 32, 3012, 882, 950, 330, 105, 930, 5862, 6040, 291, 2803, 280, 4125, 81, 2304, 32, 8281, 81, 753, 81, 16564, 26, 98, 30, 5202, 1057, 3675, 370, 16329, 1202, 426, 1057, 3012, 953, 370, 16329, 909, 103, 2004, 1057, 3012, 882, 683, 291, 630, 32, 5299, 26, 36, 30, 2069, 26, 2132, 490, 291, 630, 32, 33966, 463, 3986, 370, 2803, 27, 291, 630, 32, 5299, 463, 1632, 370, 2803, 710, 3986, 3490, 291, 630, 32, 33966, 463, 1551, 626, 370, 2803, 27, 291, 630, 32, 5299, 463, 105, 930, 5862, 370, 2803, 710, 1551, 626, 3490, 284, 665, 894, 81, 2132, 81, 8281, 81, 23373, 26, 784, 711, 291, 298, 280, 5053, 3675, 32, 3656, 32, 35, 32, 35, 32, 3012, 953, 950, 330, 3986, 370, 1802, 330, 3675, 32, 3656, 32, 35, 32, 35, 32, 3012, 882, 950, 330, 1632, 370, 1802, 330, 3675, 32, 3656, 32, 36, 32, 35, 32, 3012, 953, 950, 330, 1551, 626, 370, 1802, 330, 3675, 32, 3656, 32, 36, 32, 35, 32, 3012, 882, 950, 330, 105, 930, 5862, 6040, 291, 2803, 280, 4125, 81, 2304, 32, 8281, 81, 753, 81, 16564, 26, 98, 30, 5202, 1057, 3675, 370, 16329, 1202, 426, 1057, 3012, 953, 370, 16329, 909, 103, 2004, 1057, 3012, 882, 683, 291, 630, 32, 14846, 26, 2132, 27, 284, 665, 894, 81, 2132, 81, 8281, 81, 47697, 26, 784, 711, 291, 298, 280, 5053, 3675, 32, 3656, 32, 35, 32, 3012, 953, 950, 330, 3986, 370, 1802, 330, 3675, 32, 3656, 32, 35, 32, 3012, 882, 950, 330, 1632, 370, 1802, 330, 13611, 32, 35, 32, 3012, 953, 950, 330, 1551, 626, 370, 1802, 330, 13611, 32, 35, 32, 3012, 882, 950, 330, 105, 930, 5862, 6040, 291, 2803, 280, 4125, 81, 2304, 32, 8281, 81, 753, 81, 16564, 26, 98, 30, 5202, 1057, 3675, 370, 16329, 1202, 426, 1057, 3012, 953, 370, 16329, 909, 103, 2004, 1057, 3012, 882, 683, 291, 630, 32, 5299, 26, 35, 30, 2069, 26, 2132, 490, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 9, 9, 8, 10, 10, 8, 10, 10, 4, 4, 6, 6, 10, 10, 10, 8, 12, 12, 12, 10, 12, 12, 4, 4, 7, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 4, 4, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 11, 11, 8, 8, 10, 9, 11, 11, 11, 8, 8, 10, 10, 9, 11, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 9, 10, 9, 4, 4, 7, 8, 7, 9, 9, 7, 7, 4, 4, 7, 8, 7, 9, 9, 7, 8, 10, 10, 4, 4, 7, 8, 7, 9, 9, 9, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 8, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 4, 4, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 11, 11, 8, 8, 10, 9, 11, 11, 11, 8, 8, 10, 10, 9, 11, 11, 11, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 4, 4, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 11, 11, 8, 8, 10, 9, 11, 11, 11, 8, 8, 10, 10, 9, 11, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 9, 10, 9, 4 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 3, 3, 2, 2, 0, 1, 1, 1, 2, 1, 4, 1, 1, 3, 3, 2, 2, 0, 2, 2, 1, 2, 2, 2, 3, 3, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 1, 2, 0, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 2, 1, 1, 0, 5, 1, 1, 2, 1, 1, 0, 0, 7, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 2, 1, 1, 0, 5, 1, 1, 2, 1, 1, 0, 0, 7, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 2, 1, 1, 0, 5, 1, 1, 2, 1, 1, 0, 0, 7, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4 ]
[ 1070, 638, 3142, 1188, 6287, 203, 823, 4004, 2291, 26, 2291, 711, 284, 617, 6460, 280, 301, 291, 330, 314, 950, 5053, 12360, 950, 2933, 835, 291, 330, 681, 950, 5053, 12360, 950, 2933, 835, 291, 330, 426, 950, 5053, 12360, 950, 2933, 835, 291, 330, 2645, 950, 5053, 12360, 950, 2933, 835, 284, 320, 284, 617, 4890, 81, 1110, 280, 301, 291, 330, 314, 950, 5053, 678, 950, 330, 314, 370, 330, 681, 950, 330, 466, 8885, 291, 330, 681, 950, 5053, 678, 950, 330, 681, 370, 330, 681, 950, 330, 466, 8885, 291, 330, 426, 950, 5053, 678, 950, 330, 426, 370, 330, 681, 950, 330, 466, 8885, 291, 330, 2645, 950, 5053, 678, 950, 330, 2645, 370, 330, 681, 950, 330, 466, 8885, 291, 330, 3963, 950, 5053, 678, 950, 330, 3963, 370, 330, 681, 950, 8930, 466, 8129, 835, 291, 330, 32520, 950, 5053, 678, 950, 330, 32520, 370, 330, 681, 950, 330, 466, 8885, 291, 330, 10419, 81, 314, 950, 5053, 678, 950, 330, 4642, 32, 10419, 606, 370, 330, 681, 950, 330, 466, 8885, 291, 330, 3841, 81, 426, 950, 5053, 678, 950, 330, 4642, 32, 3841, 558, 370, 330, 681, 950, 330, 466, 8885, 291, 330, 4524, 950, 5053, 678, 950, 330, 4642, 32, 4524, 370, 330, 681, 950, 330, 9328, 31, 42, 40, 34, 35, 8885, 291, 330, 6368, 950, 5053, 678, 950, 330, 4642, 32, 6368, 370, 330, 681, 950, 330, 9328, 31, 42, 40, 34, 35, 8885, 284, 320, 284, 665, 1156, 1664, 3207, 784, 30, 5911, 47, 2521, 30, 2971, 481, 47, 2521, 30, 16686, 81, 314, 47, 2521, 30, 3387, 81, 426, 47, 2521, 30, 3272, 47, 2521, 30, 4459, 47, 2521, 711, 291, 2599, 26, 1212, 2291, 30, 630, 14585, 1664, 3207, 3963, 47, 3963, 30, 2971, 481, 47, 32520, 27, 291, 630, 32, 10419, 81, 314, 280, 16686, 81, 314, 291, 630, 32, 3841, 81, 426, 280, 3387, 81, 426, 291, 630, 32, 4524, 280, 3272, 291, 630, 32, 6368, 280, 4459, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 4, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 4, 4, 5, 5, 8, 8, 6, 10, 10, 8, 7, 5, 5, 8, 8, 6, 10, 10, 8, 7, 5, 5, 8, 8, 6, 10, 10, 8, 7, 5, 5, 8, 8, 6, 10, 10, 8, 7, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 8, 8, 6, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 5, 5, 8, 8, 6, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 5, 5, 8, 8, 6, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 5, 5, 8, 8, 6, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 5, 5, 8, 8, 6, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 7, 5, 5, 8, 8, 6, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 5, 5, 8, 8, 8, 8, 6, 10, 10, 8, 10, 10, 10, 10, 10, 7, 10, 10, 8, 10, 10, 5, 5, 8, 8, 8, 8, 6, 10, 10, 8, 10, 10, 10, 10, 10, 7, 10, 10, 8, 10, 10, 5, 5, 8, 8, 6, 10, 10, 8, 10, 10, 10, 10, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 5, 5, 8, 8, 6, 10, 10, 8, 10, 10, 10, 10, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 9, 8, 9, 7, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 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, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 3, 1, 2, 1, 2, 2, 2, 1, 2, 5, 1, 2, 1, 2, 2, 2, 1, 2, 7, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 3, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 7, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 9, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 11, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 13, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 15, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 17, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 19, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 11, 2, 2, 2, 13, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 3, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 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, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 29252, 380, 1193, 1188, 9300, 101, 30, 8181, 30, 1692, 30, 706, 30, 5741, 30, 5296, 30, 9934, 30, 17393, 203, 465, 29252, 380, 1193, 32, 1338, 203, 465, 6436, 619, 2065, 203, 1070, 7744, 1188, 43191, 30, 1245, 30, 35448, 203, 465, 1933, 203, 465, 1133, 30, 5237, 30, 2322, 30, 3619, 4785, 203, 1270, 44, 284, 645, 15360, 501, 1998, 1732, 10262, 1188, 1459, 501, 1998, 1732, 30, 372, 501, 1998, 1732, 30, 963, 1419, 501, 1998, 1732, 30, 1487, 24269, 30, 6867, 750, 2185, 66, 5815, 380, 21017, 12105, 203, 7343, 29986, 44, 284, 1459, 463, 9752, 646, 1188, 645, 15360, 501, 1998, 1732, 10262, 32, 978, 308, 9619, 1849, 688, 803, 372, 526, 328, 322, 2432, 3362, 19188, 203, 1270, 44, 284, 1188, 802, 1397, 203, 7343, 29986, 44, 284, 1459, 463, 9752, 646, 1188, 802, 1397, 32, 978, 308, 9619, 1849, 688, 803, 372, 526, 328, 322, 2432, 3362, 19188, 203, 1112, 55, 1152, 304, 3936, 543, 47, 37, 203, 8246, 11414, 70, 35, 3828, 2899, 280, 8253, 77, 34, 79, 203, 16997, 15882, 280, 3177, 225, 203, 4846, 48858, 47, 2700, 203, 6380, 47, 2700, 225, 203, 1358, 9604, 47, 3177, 225, 203, 6250, 1057, 4599, 581, 25, 225, 203, 325, 7120, 48858, 44, 5383, 1057, 2837, 25, 203, 325, 2322, 32, 983, 32, 34103, 3949, 9118, 500, 32, 12595, 6897, 605, 7831, 284, 706, 2976, 1057, 605, 25, 203, 1824, 44, 284, 1459, 33103, 605, 20, 3362, 1957, 646, 2307, 30, 1259, 17093, 706, 328, 5024, 4740, 3362, 683, 284, 706, 2976, 1057, 4564, 203, 1003, 2185, 1547, 2007, 280, 1133, 32, 20834, 4912, 86, 23, 84, 23, 75, 16335, 58, 9299, 63, 392, 1133, 32, 1696, 1003, 1157, 203, 2245, 9096, 6417, 1464, 47, 1815, 225, 203, 12638, 47, 1815, 203, 2837, 11161, 47, 2700, 203, 8188, 5580, 280, 225, 40, 34, 22373, 261, 203, 325, 10859, 44, 284, 9737, 5580, 280, 225, 40, 34, 22373, 261, 203, 270, 1998, 1732, 6953, 3528, 280, 225, 36, 39, 203, 13461, 560, 501, 1998, 1732, 6953, 3528, 64, 280, 225, 36, 34, 225, 203, 13461, 560, 501, 1998, 1732, 24269, 280, 2065, 32, 955, 2009, 39, 30, 36, 34, 30, 36, 34, 30, 36, 34, 30, 225, 39, 34, 30, 39, 34, 30, 39, 34, 30, 39, 30, 42, 34, 30, 42, 34, 30, 42, 34, 30, 39, 30, 43, 39, 30, 43, 39, 30, 43, 39, 1130, 225, 203, 3801, 4013, 66, 5815, 1506, 280, 2933, 225, 203, 24786, 18136, 280, 225, 34, 32, 39, 42, 203, 1516, 13592, 383, 1862, 280, 225, 36, 38, 203, 4068, 1061, 12881, 347, 1382, 30, 461, 30, 436, 30, 844, 30, 7617, 30, 1273, 30, 6697, 30, 646, 30, 11017, 30, 883, 30, 6560, 30, 622, 30, 7791, 30, 1169, 30, 1591, 30, 963, 30, 2318, 30, 10320, 30, 2464, 30, 2624, 30, 2819, 30, 2992, 30, 3134, 30, 3352, 20, 225, 203, 30194, 1061, 12881, 280, 313, 83, 30, 84, 30, 85, 30, 86, 30, 87, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 1, 2, 2, 2, 2, 2, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 3, 3, 3, 3, 3, 3, 2, 3, 0, 3, 2, 5, 5, 5, 0, 2, 2, 3, 4, 3, 0, 3, 3, 2, 2, 0, 0, 3, 3, 2, 3, 0, 3, 2, 3, 0, 0, 3, 3, 2, 2, 0, 0, 3, 2, 4, 4, 4, 0, 0, 1, 1, 2, 1, 1, 4, 6, 6, 0, 1, 1, 4, 5, 3, 4, 3, 7, 7, 6, 7, 4, 6, 6, 1, 1, 5, 4, 6, 6, 1, 2, 2, 2, 2, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 5, 7, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 7, 6, 0, 3, 3, 3, 3, 2, 3, 0, 0, 3, 2, 3, 0, 3, 3, 2, 3, 0, 3, 3, 2, 2, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 5, 4, 4, 5, 5, 5, 0, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 5, 6, 6, 5, 6, 6, 5, 6, 6, 5, 5, 6, 6, 5, 6, 6, 5, 6, 6, 5, 6, 5, 6, 6, 5, 6, 6, 5, 6, 6, 5, 6, 5, 6, 6, 5, 6, 6, 5, 6, 6, 5, 0, 0, 3, 3, 3, 3, 3, 2, 2, 0, 0, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 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, 0, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 3, 3, 1, 1, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 8, 8, 8, 8, 0, 0, 8, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 18, 18, 1, 18, 18, 0, 1, 2, 0, 19, 19, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 19, 19, 0, 0, 1, 2, 19, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 26, 26, 26, 26, 26, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 5, 5, 1, 7, 7, 1, 1, 9, 9, 1, 11, 11, 1, 13, 13, 1, 15, 1, 17, 17, 1, 19, 19, 1, 21, 21, 1, 23, 1, 25, 25, 1, 27, 27, 1, 29, 29, 1, 0, 0, 0, 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, 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, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42112, 203, 465, 15798, 203, 1070, 18792, 1188, 1344, 81, 681, 30, 802, 81, 2516, 203, 1070, 11240, 267, 13429, 32, 40657, 1188, 622, 81, 3483, 30, 10073, 1761, 203, 1070, 11240, 267, 13429, 32, 40657, 32, 1439, 32, 2665, 367, 1188, 14580, 367, 2879, 1761, 203, 30030, 203, 823, 2108, 3711, 69, 1237, 39, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 371, 81, 3483, 81, 101, 1237, 39, 81, 297, 81, 19062, 26, 784, 711, 291, 3330, 958, 6863, 280, 622, 81, 3483, 346, 291, 630, 32, 6549, 26, 38003, 26, 3483, 30, 10073, 1761, 490, 291, 630, 32, 6549, 26, 3483, 32, 426, 32, 15990, 440, 101, 1237, 39, 2131, 291, 6863, 32, 30353, 440, 4266, 624, 6473, 657, 291, 645, 11240, 267, 13429, 1188, 24849, 30, 16736, 291, 645, 11240, 267, 13429, 32, 858, 1188, 6828, 18587, 291, 8690, 280, 16736, 2009, 8208, 440, 7656, 2113, 24849, 440, 5860, 657, 1130, 291, 26270, 280, 6828, 18587, 26, 4948, 30, 6863, 47, 3483, 27, 291, 3276, 280, 26270, 32, 268, 18646, 440, 7656, 5788, 657, 291, 630, 32, 5299, 2009, 103, 20, 7656, 392, 1044, 20, 5860, 3439, 3276, 27, 284, 665, 894, 81, 2665, 367, 26, 784, 711, 291, 588, 351, 588, 351, 645, 11240, 267, 13429, 1188, 14580, 367, 30, 24849, 30, 16736, 291, 645, 11240, 267, 13429, 32, 858, 1188, 6828, 18587, 30, 38194, 7961, 291, 8690, 280, 16736, 2009, 8208, 440, 7656, 2113, 14580, 367, 440, 878, 657, 1130, 291, 26270, 280, 6828, 18587, 26, 4948, 27, 291, 588, 351, 3276, 280, 26270, 32, 268, 18646, 440, 7656, 5788, 657, 291, 1201, 3276, 77, 34, 79, 610, 313, 7656, 20, 291, 588, 351, 5436, 367, 280, 3276, 77, 35, 79, 291, 415, 646, 6937, 26, 2665, 367, 30, 14580, 367, 2879, 1761, 711, 324, 1474, 280, 308, 103, 20, 7700, 34598, 1056, 372, 526, 312, 5436, 367, 20, 5556, 1044, 20, 3851, 30, 1273, 6584, 904, 100, 20, 5556, 904, 308, 13707, 26, 2665, 367, 547, 5460, 440, 5910, 31, 35, 36, 39, 36, 2113, 490, 324, 630, 32, 5066, 26, 1436, 32, 4434, 440, 5910, 31, 35, 36, 39, 36, 2131, 291, 588, 351, 630, 32, 5299, 26, 466, 26, 2665, 367, 471, 313, 5860, 657, 291, 630, 32, 5299, 26, 878, 81, 681, 26, 2665, 367, 471, 313, 5860, 657, 291, 630, 32, 6549, 26, 38003, 26, 13707, 26, 2665, 367, 471, 802, 81, 2516, 490, 291, 588, 351, 3276, 280, 26270, 32, 268, 18646, 440, 7656, 657, 291, 1201, 3276, 438, 38194, 7961, 284, 665, 894, 81, 44581, 81, 906, 13547, 26, 784, 711, 291, 588, 351, 588, 351, 645, 11240, 267, 13429, 1188, 308, 3061, 30, 24849, 30, 38194, 6705, 30, 7686, 38194, 9134, 27, 291, 645, 11240, 267, 13429, 32, 858, 1188, 6828, 18587, 30, 38194, 7961, 291, 443, 38194, 9134, 18587, 26, 27956, 9134, 711, 324, 3330, 1468, 665, 1156, 1664, 3207, 784, 711, 400, 38194, 9134, 3667, 1664, 3207, 784, 27, 400, 630, 32, 21110, 280, 3177, 400, 630, 32, 4068, 280, 1665, 324, 665, 544, 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, 3, 3, 1, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3, 1, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 4, 2, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 6, 3, 7, 6, 8, 8, 8, 8, 4, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 9, 4, 8, 8, 8, 8, 11, 11, 11, 11, 10, 9, 11, 11, 11, 9, 4, 8, 8, 8, 7, 9, 9, 9, 9, 4, 5, 7, 7, 7, 5, 7, 7, 7, 4, 5, 7, 7, 7, 7, 7, 5, 7, 7, 4, 7, 6, 8, 8, 11, 11, 13, 11, 11, 11, 13, 13, 9, 4, 7, 6, 8, 8, 8, 9, 9, 10, 10, 10, 10, 4, 7, 6, 9, 9, 9, 9, 8, 10, 10, 10, 4, 8, 8, 8, 7, 8, 10, 10, 10, 8, 10, 10, 8, 8, 8, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 4, 7, 6, 8, 8, 11, 11, 13, 11, 11, 11, 11, 13, 13, 9, 4, 7, 6, 8, 8, 8, 9, 9, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 8, 8, 7, 8, 6, 6, 8, 8, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 8, 5, 9, 8, 8, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 10, 15, 15, 16, 16, 15, 14, 13, 15, 15, 15, 15, 15, 15, 13, 11, 6, 10, 10, 10, 10, 12, 12, 12, 11, 13, 13, 13, 13, 13, 13, 11, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 9, 7, 9, 9, 4, 8, 8, 8, 8, 9, 9, 11, 11, 12, 12, 11, 10, 10, 10, 9, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 6, 7, 7, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 2, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 2, 3, 4, 4, 4, 4, 5, 5, 4, 3, 6, 3, 5, 6, 6, 6, 7, 6, 5, 10, 10, 10, 10, 10, 10, 10, 6, 10, 10, 10, 8, 9, 6, 10, 10, 10, 8, 9, 4, 5, 6 ]
[ -1, -1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, 2, 4, 4, 6, 6, 4, 0, 0, 0, 0, 0, 5, 5, 6, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 0, 0, 2, 2, 0, 0, 1, 1, 3, 3, 1, 5, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 5, 0, 0, 2, 1, 1, 1, 1, 2, 5, 4, 0, 0, 0, 4, 0, 0, 0, 5, 5, 0, 0, 0, 0, 2, 5, 0, 0, 5, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 5, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 5, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 5, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 3, 3, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 5, 0, 0, 0, 0, 0, 1, 1, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 0, 0, 0, 2, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 1, 0, 0, 1, 1, 1, 3, 3, 3, 3, 1, 6, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 5, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 3, 3, 3, 1, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 11, 0, 1, 2, 2, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 0, 0, 0, 4, 3, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 4, 0, 4, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 4, 0, 0, 2, 0, 2, 4, 0, 0, 2, 0, 2, 5, 1, 1 ]
[ 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 823, 6885, 81, 1786, 26, 500, 104, 32, 1243, 711, 284, 617, 426, 280, 330, 476, 32, 3543, 32, 1786, 25, 284, 617, 6815, 280, 2107, 476, 32, 3543, 32, 1786, 785, 284, 665, 617, 371, 81, 10615, 26, 784, 30, 5564, 30, 12373, 30, 1619, 47, 2521, 711, 291, 736, 280, 2599, 26, 3543, 81, 1786, 30, 630, 42690, 371, 81, 10615, 26, 2446, 30, 12373, 30, 1619, 47, 1819, 27, 291, 736, 32, 3215, 26, 34, 30, 2726, 1935, 370, 330, 4863, 10024, 2847, 291, 442, 736, 284, 617, 6057, 280, 301, 291, 330, 1935, 81, 1070, 950, 3829, 32, 10513, 26, 324, 330, 2387, 81, 314, 370, 330, 1935, 81, 1070, 370, 827, 1057, 1594, 370, 324, 4283, 47, 1815, 30, 802, 1057, 1792, 25, 291, 2588, 291, 330, 1935, 81, 452, 950, 3829, 32, 10513, 26, 324, 330, 2387, 81, 314, 370, 330, 1935, 81, 452, 370, 827, 1057, 1594, 370, 324, 4283, 47, 1815, 30, 802, 1057, 705, 308, 44024, 9905, 291, 2588, 291, 330, 15699, 81, 452, 950, 3829, 32, 10513, 26, 324, 330, 2387, 81, 314, 370, 330, 15699, 81, 452, 370, 827, 1057, 1594, 370, 324, 4283, 47, 1815, 30, 802, 1057, 705, 308, 2639, 11824, 9905, 291, 2588, 291, 330, 6250, 950, 3829, 32, 10513, 26, 324, 330, 2387, 81, 314, 370, 330, 6250, 370, 827, 1057, 1594, 370, 324, 4283, 47, 1815, 30, 802, 1057, 8256, 25, 291, 2588, 291, 330, 1548, 81, 916, 950, 3829, 32, 10513, 26, 324, 330, 2387, 81, 314, 370, 330, 1548, 81, 916, 370, 827, 1057, 878, 370, 324, 4283, 47, 1815, 30, 802, 1057, 3050, 25, 291, 2588, 291, 330, 2387, 81, 314, 950, 3829, 32, 11374, 36, 658, 26, 324, 330, 1935, 32, 2387, 370, 330, 4477, 10838, 370, 544, 2560, 1057, 470, 744, 370, 324, 5880, 11860, 463, 1160, 81, 314, 370, 16509, 1542, 81, 314, 2177, 392, 291, 2588, 284, 320, 284, 665, 544, 81, 2342, 81, 2387, 81, 314, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 3079, 81, 314, 30, 1619, 47, 2521, 711, 291, 3829, 280, 2107, 6250, 370, 330, 1548, 81, 916, 370, 330, 1935, 81, 1070, 370, 330, 1935, 81, 452, 370, 330, 15699, 81, 452, 785, 291, 415, 3079, 81, 314, 44, 324, 3079, 81, 2810, 280, 630, 32, 5178, 32, 371, 463, 1935, 32, 2387, 1814, 850, 26, 2446, 30, 12373, 30, 428, 2387, 81, 314, 614, 3829, 30, 1619, 5594, 34, 79, 324, 2078, 280, 5436, 1162, 1495, 30, 3079, 81, 2810, 77, 1495, 1130, 436, 1600, 328, 3829, 415, 3079, 81, 2810, 32, 371, 26, 1495, 490, 324, 415, 646, 2078, 32, 371, 463, 1935, 81, 1070, 7831, 400, 442, 5053, 5691, 950, 5053, 1311, 950, 330, 39007, 3079, 370, 330, 1436, 950, 330, 10195, 3079, 1395, 5597, 4096, 81, 1070, 8885, 330, 853, 950, 2078, 111, 291, 813, 44, 324, 2078, 280, 5436, 32, 1070, 3494, 26, 4151, 30, 3177, 27, 291, 442, 5053, 853, 950, 2078, 111 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 10, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 9, 8, 8, 8, 8, 9, 10, 8, 4, 4, 7, 8, 7, 8, 7, 7, 10, 10, 8, 10, 10, 10, 4, 4, 5, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 9, 11, 11, 8, 8, 9, 10, 8, 8, 9, 11, 11, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 9, 11, 11, 8, 8, 9, 10, 8, 8, 9, 11, 11, 11, 11, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 9, 11, 11, 8, 8, 9, 10, 8, 8, 9, 11, 11, 11, 11, 11, 8, 8, 5, 5, 8, 8, 6, 8, 9, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 8, 9, 11, 11, 8, 8, 9, 10, 8, 8, 9, 11, 11, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 9, 11, 11, 8, 8, 9, 10, 8, 8, 9, 11, 11, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 10, 8, 10, 9, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 6, 6, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 4, 4, 5, 6, 6, 5, 5, 5, 9, 9, 8, 8, 14, 15, 13, 14, 13, 15, 15, 15, 15, 12, 11, 12, 11, 11, 11, 11, 13, 13, 13, 12, 11, 11, 11, 11, 10, 9, 6, 6, 8, 8, 10, 12, 11, 11, 13, 13, 12, 13, 12, 10, 11, 11, 11, 10, 11, 14, 14, 13, 14, 13, 14, 13, 6, 6, 7, 8, 10, 11, 10, 12, 12, 12, 12, 7, 7, 9, 13, 13, 11, 15, 15, 13, 15, 15, 15, 12, 15, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 10, 13, 13, 11, 10, 5, 5, 6, 6, 6, 9, 9, 11, 12, 12, 11, 12, 11, 11, 11, 4, 4, 5, 9, 9, 7, 6 ]
[ 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 4, 4, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 2, 1, 1, 7, 2, 1, 1, 9, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 3, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 2, 1, 1, 7, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 5, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 2, 1, 1, 7, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 7, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 5, 1, 2, 1, 1, 7, 2, 1, 1, 9, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 9, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 2, 1, 1, 7, 2, 1, 1, 9, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 11, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 5, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 2, 11, 2, 2, 4, 4, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 2, 2, 3, 3, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 3, 1, 2, 2, 2, 1, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 4, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 2, 1, 1 ]
[ 465, 5237, 203, 465, 2322, 203, 465, 316, 203, 465, 22977, 203, 6103, 81, 8467, 280, 225, 35, 203, 6103, 81, 521, 81, 1460, 39189, 280, 225, 36, 203, 6103, 81, 521, 81, 53, 2569, 81, 1460, 39189, 280, 225, 37, 203, 6103, 81, 521, 81, 54, 567, 1310, 1413, 280, 225, 38, 203, 823, 5938, 44, 284, 665, 1156, 1664, 3207, 784, 30, 4921, 81, 426, 30, 803, 81, 426, 30, 537, 81, 1515, 81, 426, 711, 291, 630, 32, 1515, 81, 426, 280, 4921, 81, 426, 291, 630, 32, 761, 81, 426, 280, 803, 81, 426, 291, 630, 32, 890, 81, 1515, 81, 426, 280, 537, 81, 1515, 81, 426, 291, 630, 32, 12300, 280, 225, 34, 291, 630, 32, 1293, 280, 14558, 81, 8467, 291, 630, 32, 1028, 280, 1665, 284, 665, 3185, 81, 731, 26, 784, 30, 1474, 711, 291, 1459, 440, 2930, 313, 474, 1474, 474, 313, 313, 474, 630, 32, 761, 81, 426, 474, 313, 1628, 313, 474, 596, 26, 784, 32, 12300, 490, 291, 5237, 32, 4775, 26, 35, 27, 284, 665, 739, 81, 1293, 26, 784, 30, 537, 81, 1293, 711, 291, 630, 32, 1293, 280, 537, 81, 1293, 284, 665, 9533, 81, 928, 26, 784, 30, 309, 711, 291, 630, 32, 1028, 32, 1821, 26, 101, 27, 284, 665, 12202, 81, 928, 26, 784, 30, 309, 711, 291, 309, 36, 280, 309, 291, 309, 36, 280, 309, 36, 474, 2706, 96, 20, 291, 630, 32, 7911, 81, 928, 26, 101, 36, 27, 284, 665, 2164, 26, 784, 711, 291, 630, 32, 470, 81, 1293, 26, 6103, 81, 8467, 27, 291, 2431, 81, 7899, 280, 3177, 291, 33714, 81, 11676, 359, 311, 280, 3177, 291, 2431, 81, 11676, 359, 311, 280, 3177, 291, 2431, 81, 11676, 359, 311, 81, 2679, 33478, 280, 3177, 291, 296, 280, 2156, 26, 500, 32, 983, 32, 2524, 26, 784, 32, 1515, 81, 426, 30, 630, 32, 761, 81, 426, 471, 313, 100, 657, 291, 630, 32, 1028, 280, 2156, 26, 500, 32, 983, 32, 2524, 26, 784, 32, 890, 81, 1515, 81, 426, 30, 630, 32, 761, 81, 426, 471, 313, 105, 657, 291, 309, 280, 296, 32, 25637, 346, 291, 2218, 308, 1657, 26, 101, 27, 848, 225, 34, 711, 324, 630, 32, 12300, 280, 630, 32, 12300, 474, 225, 35, 324, 2530, 81, 6332, 280, 316, 32, 1903, 26, 100, 20, 80, 1736, 7899, 31552, 309, 27, 324, 415, 308, 2872, 81, 6332, 438, 646, 1665, 711, 400, 415, 308, 784, 32, 1293, 610, 14558, 81, 521, 81, 1460, 39189, 711, 528, 630, 32, 2208, 81, 731, 440, 7899, 1631, 646, 526, 328, 8272, 657, 400, 630, 32, 470, 81, 1293, 26, 6103, 81, 521, 81, 1460, 39189, 27, 400, 2431, 81, 7899, 280, 2933, 400, 630, 32, 7911, 81, 928, 26, 101, 27, 400, 309, 280, 296, 32, 25637, 346, 400, 4036, 324, 2530, 81, 6332, 280, 316, 32, 1903, 26, 100, 20, 287, 390, 2569, 8272, 4240, 769, 392, 309, 27, 324, 415, 308, 2872, 81, 6332, 438, 646, 1665, 711, 400, 415, 308 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 14, 14, 12, 12, 11, 11, 13, 10, 10, 11, 12, 12, 12, 9, 9, 11, 11, 8, 8, 10, 12, 11, 12, 10, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 4, 4, 7, 6, 6, 8, 7, 7, 10, 9, 4, 4, 7, 8, 8, 8, 7, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 7, 6, 6, 4, 4, 7, 7, 7, 7, 6, 6, 4, 4, 7, 7, 7, 7, 6, 6, 4, 4, 7, 7, 7, 7, 7, 7, 7, 6, 6, 4, 4, 6, 6, 8, 12, 11, 12, 10, 11, 10, 12, 11, 12, 12, 12, 10, 10, 11, 12, 12, 12, 10, 8, 10, 10, 4, 4, 7, 8, 6, 6, 8, 12, 11, 12, 10, 11, 10, 12, 11, 12, 12, 12, 12, 12, 10, 10, 11, 12, 12, 12, 10, 8, 10, 10, 4, 4, 6, 6, 8, 9, 8, 4, 4, 5, 9, 9, 10, 9, 7, 7, 8, 6, 5, 5, 9, 10, 8, 8, 10, 11, 9, 9, 10, 6, 6, 9, 9, 8, 8, 10, 11, 10, 12, 12, 12, 12, 12, 12, 10, 10, 6, 6, 7, 10, 10, 10, 9, 9, 9, 8, 7, 7, 9, 13, 12, 13, 11, 11, 12, 12, 12, 12, 12, 10, 9, 9, 13, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 8, 8, 11, 12, 12, 12, 11, 12, 12, 12, 12, 12, 12, 11, 8, 8, 11, 11, 10, 10, 8, 8, 11, 12, 12, 12, 11, 12, 11, 8, 8, 10, 10, 12, 13, 12, 8, 8, 6, 6, 9, 9, 8, 8, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 6, 6, 7, 10, 10, 10, 9, 9, 9, 8, 7, 7, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 8, 8, 8, 8, 8, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 7, 7, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 3, 3, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 3, 3, 2, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 2, 0, 0, 2, 2, 3, 3, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 3, 3, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 5, 2, 1, 2, 5, 5, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 8, 0, 1, 1, 1, 1, 1, 2, 1, 8, 8, 0, 2, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 3, 3, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 4, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0 ]
[ 465, 6436, 619, 2065, 203, 1070, 18414, 32, 7295, 1188, 1638, 268, 1909, 5309, 934, 203, 1070, 15223, 12813, 32, 6173, 32, 23018, 1679, 32, 15002, 4280, 1188, 21335, 203, 823, 44247, 7707, 265, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 22519, 1057, 12580, 318, 1588, 7831, 291, 630, 32, 4603, 280, 1665, 291, 630, 32, 17915, 280, 22519, 291, 630, 1114, 887, 81, 3953, 280, 225, 38, 284, 665, 4630, 81, 40159, 304, 26, 784, 711, 291, 18754, 280, 2149, 291, 436, 281, 81, 96, 30, 918, 328, 630, 32, 4603, 32, 3028, 2262, 324, 918, 81, 2665, 280, 2149, 324, 436, 298, 81, 96, 30, 308, 15002, 30, 7395, 81, 11672, 27, 328, 918, 32, 3028, 2262, 400, 1769, 10510, 81, 15002, 81, 552, 280, 1638, 268, 1909, 5309, 934, 26, 528, 2065, 32, 1689, 26, 656, 34, 30, 715, 23310, 471, 528, 2065, 32, 24744, 30, 528, 2926, 1057, 4071, 683, 400, 345, 1766, 1882, 81, 1028, 81, 1449, 10510, 280, 225, 34, 32, 39, 319, 766, 528, 308, 1771, 81, 11672, 77, 1449, 10510, 81, 15002, 81, 552, 79, 474, 3486, 7395, 81, 11672, 77, 2009, 91, 429, 225, 35, 436, 595, 328, 1769, 10510, 81, 15002, 81, 552, 77, 34, 6137, 14829, 400, 918, 81, 2665, 77, 98, 81, 96, 79, 280, 345, 1766, 1882, 81, 1028, 81, 1449, 10510, 32, 25880, 346, 324, 18754, 77, 85, 81, 96, 79, 280, 918, 81, 2665, 291, 442, 18754, 284, 665, 1974, 26, 784, 30, 786, 81, 2665, 711, 291, 630, 32, 4603, 280, 2149, 291, 436, 2577, 81, 426, 30, 2577, 328, 786, 81, 2665, 32, 3028, 2262, 324, 918, 81, 2665, 280, 2149, 324, 436, 880, 81, 426, 30, 880, 328, 2577, 32, 3028, 2262, 400, 415, 880, 32, 891, 2511, 630, 1114, 887, 81, 3953, 44, 528, 918, 81, 2665, 77, 568, 81, 426, 79, 280, 2065, 32, 22161, 26, 568, 30, 22622, 1769, 26, 35, 34, 30, 32248, 630, 1114, 887, 81, 3953, 490, 400, 813, 44, 528, 918, 81, 2665, 77, 568, 81, 426, 79, 280, 21335, 26, 568, 30, 22519, 47, 784, 32, 17915, 27, 324, 630, 32, 4603, 77, 2292, 81, 426, 79, 280, 918, 81, 2665, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 7, 7, 7, 7, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 7, 7, 6, 6, 5, 5, 8, 9, 7, 8, 7, 5, 5, 9, 9, 8, 8, 6, 6, 7, 9, 9, 8, 8, 10, 9, 9, 10, 10, 9, 7, 7, 9, 10, 9, 7, 7, 11, 11, 11, 11, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 14, 15, 14, 14, 15, 14, 14, 14, 14, 12, 12, 13, 14, 12, 12, 12, 13, 15, 15, 8, 8, 11, 11, 11, 11, 11, 11, 11, 10, 10, 12, 12, 12, 11, 11, 12, 11, 15, 15, 15, 14, 15, 15, 15, 15, 15, 15, 14, 13, 13, 13, 15, 15, 14, 15, 18, 17, 17, 18, 16, 17, 17, 17, 19, 19, 19, 19, 19, 18, 19, 18, 15, 8, 8, 12, 12, 11, 12, 12, 12, 11, 10, 10, 13, 13, 13, 13, 13, 13, 13, 12, 13, 12, 6, 6, 9, 10, 10, 10, 9, 8, 8, 9, 9, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 5, 7, 7, 6, 6, 5, 5, 8, 8, 7, 8, 7, 5, 5, 9, 9, 8, 8, 6, 6, 7, 9, 9, 8, 8, 7, 7, 9, 10, 9, 7, 7, 9, 11, 12, 10, 10, 11, 12, 12, 12, 9, 9, 9, 14, 14, 13, 14, 14, 14, 13, 12, 12, 14, 15, 14, 15, 14, 14, 14, 16, 17, 17, 16, 16, 16, 17, 18, 18, 18, 16, 9, 9, 10, 10, 10, 15, 15, 14, 15, 15, 15, 14, 13, 13, 15, 16, 15, 15, 16, 18, 17, 18, 15, 6, 6, 10, 11, 9, 10, 10, 10, 9, 8, 8, 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 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 4, 4, 1, 6, 6, 2, 2, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 3, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 4, 4, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 5, 5, 1, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 5, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 3, 2, 3, 2, 5, 5, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 5, 5, 0, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 2, 4, 4, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 2, 0, 0, 4, 4, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 5, 5, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 3, 0, 2, 2, 1, 5, 5, 0, 2, 0, 2, 2, 2, 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 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 6989, 1639, 6040, 203, 24021, 2893, 280, 540, 9592, 203, 1559, 203, 1647, 44, 6524, 639, 81, 3959, 81, 19041, 203, 4021, 81, 2310, 44, 31580, 24645, 23300, 544, 312, 26166, 31, 2027, 203, 2310, 44, 334, 429, 31580, 24645, 23300, 544, 312, 26166, 31, 2027, 32, 23864, 432, 24645, 23300, 2307, 45, 2504, 623, 3623, 284, 4369, 10891, 1728, 372, 322, 6216, 390, 26, 19041, 27, 6274, 32, 14217, 432, 458, 2297, 1395, 526, 18934, 284, 688, 5075, 432, 322, 10891, 444, 22851, 12133, 1159, 1289, 2297, 1244, 32, 19462, 30, 322, 1244, 438, 284, 11012, 810, 322, 26166, 31, 2027, 2664, 8015, 1510, 30, 328, 4630, 6792, 30, 438, 29546, 32, 203, 1648, 81, 11043, 44, 225, 36, 32, 40, 203, 2184, 44, 334, 636, 44, 284, 3048, 44, 397, 429, 19009, 322, 636, 432, 322, 6274, 32, 284, 827, 44, 596, 284, 2129, 44, 2933, 334, 2935, 44, 284, 3048, 44, 397, 429, 19009, 322, 6274, 645, 1510, 458, 6274, 47570, 4070, 32, 397, 429, 5076, 6892, 312, 537, 6274, 30, 415, 458, 3395, 438, 646, 3191, 30, 322, 1244, 291, 438, 322, 2664, 31, 22034, 3032, 390, 26, 19041, 27, 6274, 32, 284, 827, 44, 596, 334, 22405, 81, 5457, 44, 284, 3048, 44, 397, 429, 19009, 322, 3104, 432, 1133, 688, 312, 3387, 438, 22405, 308, 2040, 1289, 16391, 27, 2670, 291, 322, 3387, 438, 709, 30119, 436, 22602, 32, 397, 429, 5076, 6892, 312, 537, 6274, 30, 415, 458, 3395, 438, 646, 3191, 30, 322, 6562, 291, 3298, 1098, 9173, 312, 1244, 786, 9136, 436, 322, 6274, 30, 4122, 544, 2819, 291, 390, 26, 2544, 27, 6274, 32, 397, 429, 5076, 312, 1451, 438, 3191, 30, 11987, 322, 1451, 432, 6791, 688, 322, 24645, 291, 3387, 883, 7205, 22405, 2670, 322, 2664, 31405, 561, 32, 397, 429, 5076, 390, 26, 34, 471, 556, 390, 26, 266, 30343, 659, 471, 15822, 688, 24645, 12215, 883, 7205, 22405, 291, 328, 589, 14825, 32, 397, 429, 5076, 390, 26, 25933, 471, 15822, 688, 844, 745, 646, 2637, 322, 24645, 3387, 372, 291, 7205, 22405, 30, 461, 688, 561, 438, 16404, 13282, 709, 30119, 436, 22602, 32, 284, 827, 44, 596, 334, 706, 1764, 81, 944, 81, 46604, 44, 284, 3048, 44, 397, 429, 19009, 30, 1412, 390, 26, 7134, 471, 688, 322, 2664, 2454, 40485, 24645, 16391, 291, 6882, 31, 1170, 31, 8771, 32, 284, 827, 44, 1560, 334, 9778, 44, 284, 3048, 44, 397, 429, 9145, 9778, 372, 11856, 6086, 544, 32, 284, 827, 44, 596, 284, 1244, 44, 8751, 334, 1603, 44, 284, 3048, 44, 397, 429, 5076, 390, 26, 2689, 471, 26091, 688, 322, 6274, 5375, 32, 397, 429, 5076, 390, 26, 3596, 304, 471, 26091, 322, 6274, 438, 6556, 32, 284, 827, 44, 596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 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, 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 ]
[ 0, 0, 0, 0, 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, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 316, 203, 1070, 1984, 2208, 1188, 1984, 2208, 30, 3185, 81, 11790, 203, 1070, 3203, 560, 8931, 1188, 3203, 560, 8931, 203, 465, 5167, 203, 589, 622, 81, 3596, 81, 965, 26, 965, 30, 1695, 81, 965, 711, 284, 1596, 44, 291, 415, 1984, 32, 5607, 32, 15990, 3247, 7831, 324, 442, 316, 32, 6993, 463, 2473, 2524, 2009, 268, 32, 11731, 26, 1439, 81, 965, 471, 1984, 32, 5607, 5259, 284, 2940, 29316, 44, 291, 415, 1984, 32, 15990, 3247, 7831, 324, 442, 35617, 2524, 2009, 1439, 81, 965, 30, 1984, 1130, 284, 442, 1984, 203, 589, 1984, 81, 858, 26, 965, 30, 3894, 47, 2521, 30, 2287, 81, 687, 47, 9698, 32, 7787, 32, 5595, 81, 462, 40286, 30, 1802, 3616, 81, 5078, 47, 2521, 30, 3616, 81, 5321, 47, 2521, 30, 5127, 81, 5078, 47, 2521, 30, 2467, 47, 2521, 30, 1802, 1976, 81, 45116, 47, 2700, 30, 1158, 81, 1517, 81, 687, 47, 9698, 32, 7787, 32, 1253, 711, 284, 894, 81, 605, 280, 301, 291, 330, 965, 950, 1984, 30, 291, 330, 2645, 950, 3894, 30, 291, 330, 1517, 81, 687, 950, 2287, 81, 687, 30, 291, 330, 2403, 81, 5078, 950, 3616, 81, 5078, 30, 291, 330, 2403, 81, 5321, 950, 3616, 81, 5321, 30, 291, 330, 5243, 81, 5078, 950, 5127, 81, 5078, 30, 291, 330, 1217, 950, 2467, 30, 291, 330, 10756, 81, 45116, 950, 1976, 81, 45116, 30, 291, 330, 3220, 81, 1517, 81, 687, 950, 1158, 81, 1517, 81, 687, 30, 284, 320, 284, 20923, 81, 11400, 280, 1149, 26, 33478, 8931, 26, 965, 490, 284, 1929, 81, 11400, 280, 2069, 26, 13318, 81, 11400, 27, 284, 415, 1929, 81, 11400, 610, 225, 35, 44, 291, 442, 894, 81, 605, 284, 1596, 44, 291, 3894, 81, 5607, 280, 3894, 32, 5607, 291, 894, 81, 605, 710, 2645, 785, 280, 3894, 81, 5607, 284, 2940, 29316, 44, 291, 3894, 81, 5607, 280, 1665, 284, 537, 81, 11400, 280, 1605, 284, 415, 3894, 44, 291, 20923, 81, 13471, 280, 1149, 26, 33478, 8931, 26, 858, 81, 605, 710, 2645, 7698, 291, 1929, 81, 13471, 280, 2069, 26, 13318, 81, 13471, 27, 284, 436, 595, 30, 1984, 328, 10703, 26, 13318, 81, 11400, 711, 291, 706, 280, 894, 81, 605, 32, 2991, 346, 291, 706, 710, 965, 785, 280, 1984, 291, 415, 3894, 461, 1929, 81, 11400, 610, 1929, 81, 13471, 44, 324, 415, 3894, 81, 5607, 438, 646, 1665, 44, 400, 706, 710, 2645, 785, 280, 316, 32, 6993, 26, 13318, 81, 13471, 77, 91, 1130, 324, 813, 44, 400, 706, 710, 2645, 785, 280, 20923, 81, 13471, 77, 91, 79, 291, 537, 81, 11400, 32, 1689, 26, 605, 27, 284, 442, 537, 81, 11400, 203, 589, 1201, 81, 1327, 81, 965, 26, 965, 30, 3894, 47, 2521, 30, 2287, 81, 687, 47, 9698, 32, 7787, 32, 5595, 81, 462, 40286, 30, 3486, 3616, 81, 5078, 47, 2521, 30, 3616, 81, 5321, 47, 2521, 30, 5127, 81, 5078, 47, 2521, 30, 3486, 2467, 47, 2521, 30, 1695, 81, 965, 47, 2521, 30, 1976 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 3, 3, 5, 8, 9, 7, 8, 7, 9, 5, 5, 7, 9, 10, 9, 13, 12, 11, 15, 14, 15, 14, 15, 15, 15, 14, 12, 13, 14, 12, 3, 3, 4, 4, 4, 4, 6, 8, 9, 8, 10, 6, 6, 8, 11, 10, 12, 12, 12, 11, 11, 11, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 4, 4, 3, 6, 5, 6, 4, 5, 5, 5, 5, 2, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 3, 4, 2, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 4, 4, 3, 6, 5, 6, 4, 5, 2, 1, 1, 5, 5, 4, 4, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 7, 7, 7, 5, 5, 5, 2, 2, 5, 5, 4, 4, 6, 8, 8, 8, 9, 8, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 5, 5, 4, 4, 5, 3, 3, 3, 5, 6, 6, 2, 2, 3, 3, 3, 7, 7, 6, 6, 7, 8, 4, 4, 8, 8, 7, 9, 9, 6, 6, 7, 7, 3, 3, 4, 4, 4, 4, 8, 8, 7, 7, 2, 2, 5, 5, 4, 4, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 8, 10, 10, 10, 12, 12, 12, 11, 13, 13, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 3, 3, 5, 6, 6, 6, 5, 3, 3, 6, 6, 9, 9, 8, 9, 8, 4, 4, 7, 9, 9, 6, 6, 4, 4, 5, 6, 6, 8, 8, 7, 7, 8, 8, 5, 5, 5, 7, 9, 9, 8, 8, 8, 7, 7, 7, 11, 13, 13, 10, 10, 12, 13, 12, 14, 14, 14, 13, 14, 13, 7, 7, 8, 8, 8, 12, 14, 14, 11, 11, 13, 13, 12, 13, 12, 4, 4, 8, 8, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 4, 4, 3, 6, 5, 6, 4, 5, 5, 5, 5, 2, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 3, 3, 3, 3, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 5, 5, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 0, 0, 11, 2, 2, 2, 13, 2, 2, 2, 2, 0, 0, 15, 2, 2, 2, 0, 0, 0, 0, 17, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 1, 1, 1, 2, 7, 2, 2, 2, 2, 2, 1, 1, 1, 2, 9, 2, 2, 2, 2, 2, 1, 1, 1, 2, 11, 2, 2, 2, 2, 2, 1, 2, 13, 2, 2, 2, 1, 1, 1, 2, 15, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 17, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 3, 0, 0, 1, 1, 2, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 4, 4, 3, 3, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 6, 6, 6, 6, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 7, 1, 1, 7, 7, 1, 1, 1, 1, 1, 7, 7, 0, 0, 0, 0, 0, 2, 1, 5, 5, 0, 1, 2, 0, 0, 5, 5, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 4, 4, 4, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 4, 4, 8, 1, 1, 0, 6, 6, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 0, 0, 11, 2, 2, 2, 2, 13, 2, 2, 2, 0, 0, 15, 2, 2, 2 ]
[ 1070, 456, 2593, 1188, 2971, 972, 203, 1070, 298, 1729, 32, 2282, 1188, 3639, 81, 7787, 203, 1070, 298, 1729, 32, 1356, 1188, 14201, 203, 1070, 298, 1729, 32, 1356, 32, 85, 930, 32, 9692, 5210, 1188, 308, 284, 5489, 81, 890, 81, 2386, 81, 5843, 30, 284, 5489, 81, 890, 81, 2859, 81, 5843, 30, 284, 622, 81, 853, 30, 284, 622, 81, 9692, 470, 81, 302, 81, 2665, 30, 203, 27, 203, 1070, 298, 1729, 32, 1356, 32, 85, 930, 32, 3142, 32, 14663, 1188, 26, 284, 11656, 619, 11656, 81, 14663, 30, 284, 1487, 81, 14663, 30, 203, 27, 203, 1070, 298, 1729, 32, 1356, 32, 85, 930, 32, 4280, 1188, 1957, 81, 314, 81, 12527, 30, 2290, 81, 2543, 81, 1170, 81, 2142, 81, 363, 81, 314, 203, 1070, 298, 1729, 32, 1356, 32, 4275, 1188, 13392, 924, 203, 1070, 298, 1729, 32, 1356, 32, 18735, 405, 5190, 32, 2810, 1188, 6042, 81, 314, 203, 6540, 280, 313, 19697, 20, 203, 589, 438, 81, 19697, 26, 3142, 81, 342, 711, 284, 442, 2869, 81, 342, 32, 2142, 610, 19342, 203, 589, 2290, 81, 31151, 81, 1170, 81, 4867, 26, 5379, 81, 1906, 30, 2869, 81, 4867, 81, 2067, 711, 284, 6887, 280, 2869, 81, 4867, 81, 2067, 32, 371, 81, 6385, 346, 284, 442, 6086, 81, 1906, 32, 16689, 26, 291, 4939, 306, 19697, 13283, 823, 1057, 109, 81, 823, 8129, 461, 477, 681, 1057, 109, 81, 681, 8129, 109, 81, 6385, 10589, 2296, 1643, 26, 324, 617, 823, 47, 3142, 81, 4867, 81, 2067, 32, 371, 81, 9138, 1026, 324, 617, 681, 47, 3142, 81, 4867, 81, 2067, 32, 371, 81, 681, 1026, 324, 617, 6385, 47, 88, 20, 461, 477, 6385, 1057, 109, 6385, 111, 7362, 415, 6887, 813, 4320, 291, 829, 284, 829, 203, 589, 1487, 26, 284, 3639, 81, 10075, 30, 6086, 81, 1906, 30, 804, 81, 6385, 30, 2869, 81, 314, 30, 284, 2869, 81, 4867, 30, 284, 5081, 81, 7428, 81, 668, 47, 2521, 30, 6089, 81, 5843, 47, 2521, 30, 1980, 81, 5843, 47, 2521, 30, 284, 2608, 81, 5790, 81, 7428, 47, 2700, 30, 284, 2608, 81, 5790, 81, 2386, 81, 5843, 47, 2700, 30, 284, 793, 81, 1536, 81, 14663, 47, 1815, 30, 284, 2869, 81, 681, 347, 3142, 20, 203, 711, 284, 415, 5081, 81, 7428, 81, 668, 438, 1665, 44, 291, 5081, 81, 7428, 81, 668, 280, 1605, 284, 415, 6089, 81, 5843, 438, 1665, 44, 291, 6089, 81, 5843, 280, 2149, 284, 415, 1980, 81, 5843, 438, 1665, 44, 291, 1980, 81, 5843, 280, 2149, 284, 415, 1957, 81, 314, 81, 12527, 26, 5379, 81, 1906, 30, 2869, 81, 314, 711, 291, 3636, 13392, 924, 26, 13775, 32, 314, 81, 22456, 81, 4658, 26, 3142, 81, 314, 490, 284, 6042, 81, 314, 26, 3142, 81, 314, 30, 10698, 34, 111, 636, 2296, 1643, 26, 3142, 81, 681, 490, 284, 4212, 81, 668, 280, 11656, 81, 14663, 26, 291, 3639, 81, 10075, 30, 291, 5081, 81, 7428, 81, 668, 30, 291, 2869, 81, 4867, 32, 371, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 6, 6, 5, 6, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 4, 4, 7, 7, 7, 7, 6, 7, 7, 7, 6, 2, 2, 3, 6, 6, 5, 6, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 7, 9, 8, 11, 11, 11, 11, 11, 10, 11, 11, 11, 10, 7, 7, 9, 8, 11, 11, 11, 11, 11, 10, 11, 11, 11, 10, 7, 7, 9, 8, 11, 11, 11, 11, 11, 11, 11, 12, 11, 11, 9, 9, 9, 9, 7, 7, 5, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 4, 4, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 2, 4, 4, 4, 4, 3, 4, 2, 2, 2, 4, 4, 4, 4, 4, 4, 3, 4, 2, 2, 2, 4, 4, 4, 4, 3, 4, 2, 2, 2, 4, 4, 3, 5, 5, 2, 2, 1, 1, 3, 5, 5, 5, 5, 4, 4, 3, 3, 3, 7, 7, 7, 7, 6, 6, 2, 2, 3, 5, 5, 4, 4, 3, 3, 3, 7, 7, 6, 6, 2, 2, 3, 5, 5, 4, 4, 3, 3, 3, 7, 7, 6, 6, 2, 2, 3, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 5, 3, 3, 5, 7, 7, 10, 9, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 2, 2, 5, 5, 5, 6, 6, 6, 5, 5, 9, 9, 9, 9, 8, 7, 8, 8, 8, 7, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6, 9, 9, 8, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 4, 1, 6, 6, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 1, 6, 1, 8, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 0, 0, 4, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 4, 1, 6, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 7, 7, 0, 1, 2, 1, 4, 4, 4, 1, 6, 7, 7, 0, 0, 0, 0, 0, 0, 1, 2, 0, 9, 9, 1, 1, 2, 1, 1, 1, 2, 9, 9, 0, 0, 0, 0, 2, 1, 1, 0, 10, 10, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 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, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 5, 0, 0, 1, 1, 1, 1, 2, 1, 2, 3, 2, 2, 2, 2, 1, 1, 1, 1, 0, 11, 11, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 2, 9, 9, 2, 2, 2, 0, 0, 0, 0, 11, 2, 2, 2, 0, 0, 13, 2, 2, 2, 0, 0, 15, 2, 2, 2, 2, 0, 0, 0, 0, 17, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 19, 2, 2, 2, 2, 0, 0, 0, 0, 21, 2, 2, 2, 2, 0, 0, 23, 1, 2, 2, 2, 11, 11, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 4, 4, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 0, 0, 2, 2 ]