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

Dataset card Data Studio Files Community
Search is not available for this dataset
input_ids
sequencelengths
512
512
attention_mask
sequencelengths
512
512
depths
sequencelengths
512
512
sibling_idxs
sequencelengths
512
512
[ 465, 2322, 203, 465, 19330, 32, 14806, 619, 309, 81, 14806, 203, 465, 19330, 32, 2282, 619, 309, 81, 2282, 203, 465, 19330, 32, 1356, 32, 9632, 494, 619, 309, 81, 9632, 494, 203, 465, 19330, 32, 4882, 32, 2304, 619, 309, 81, 858, 203, 9632, 81, 266, 280, 5881, 203, 14783, 203, 433, 203, 497, 376, 494, 31, 85, 27764, 403, 1244, 203, 497, 376, 494, 31, 85, 27764, 403, 1244, 203, 497, 376, 494, 31, 6363, 403, 3447, 6862, 563, 3447, 3986, 563, 225, 35, 34, 30, 313, 1632, 563, 313, 12448, 14944, 203, 497, 376, 494, 31, 1001, 403, 428, 34626, 44, 17511, 4099, 3986, 1481, 203, 497, 376, 494, 403, 398, 1356, 32, 1216, 794, 1632, 27, 398, 1356, 32, 8447, 26, 418, 24385, 24385, 89, 27, 203, 497, 376, 494, 31, 2358, 403, 29115, 203, 497, 376, 494, 31, 1001, 403, 428, 34626, 44, 12288, 40, 47, 34, 1481, 203, 497, 376, 494, 31, 4652, 403, 19330, 33, 4882, 33, 2536, 33, 14454, 317, 6706, 33, 858, 4652, 32, 6045, 203, 497, 376, 494, 403, 769, 5828, 31, 2962, 894, 4652, 3515, 9214, 203, 497, 376, 494, 403, 769, 5828, 31, 1217, 398, 1356, 32, 1216, 26, 7241, 27, 203, 497, 376, 494, 403, 769, 5828, 31, 1217, 803, 44, 3651, 203, 497, 376, 494, 31, 15762, 403, 19330, 32, 4882, 32, 2536, 32, 9632, 494, 32, 858, 15762, 32, 1006, 15762, 894, 3447, 7241, 563, 313, 14133, 3612, 203, 497, 376, 494, 403, 894, 15762, 32, 858, 203, 9592, 203, 9632, 81, 541, 280, 5881, 203, 14783, 203, 433, 203, 403, 284, 848, 398, 1356, 32, 1216, 794, 1632, 27, 398, 1356, 32, 8447, 26, 418, 24385, 24385, 89, 27, 284, 29115, 284, 18236, 44, 337, 9072, 418, 24385, 89, 203, 403, 284, 848, 894, 4652, 3515, 9214, 284, 34626, 44, 12288, 40, 47, 403, 1901, 44, 34, 203, 403, 284, 9313, 203, 403, 203, 403, 284, 848, 894, 15762, 32, 858, 284, 594, 13706, 203, 9592, 203, 9632, 81, 266, 81, 2811, 280, 5881, 203, 14783, 203, 433, 203, 497, 376, 494, 31, 85, 27764, 403, 1244, 203, 497, 376, 494, 403, 769, 2811, 428, 34626, 44, 12288, 38, 47, 34, 1481, 203, 9592, 203, 9632, 81, 266, 81, 2962, 280, 5881, 203, 14783, 203, 433, 203, 497, 376, 494, 31, 85, 27764, 403, 1244, 203, 497, 376, 494, 403, 428, 34626, 44, 12288, 38, 47, 34, 1481, 203, 9592, 203, 9632, 81, 541, 81, 2962, 280, 5881, 203, 14783, 203, 433, 203, 403, 284, 848, 428, 34626, 44, 12288, 38, 47, 34, 1481, 284, 34626, 44, 12288, 38, 47, 34, 32, 34, 32, 34, 32, 34, 324, 499, 681, 280, 945, 203, 9592, 203, 9632, 81, 266, 81, 525, 280, 5881, 203, 14783, 203, 433, 203, 497, 376, 494, 31, 85, 27764, 403, 1244, 203, 497, 376, 494, 403, 398, 5243, 4099, 1356, 32, 13246, 32, 525, 32, 371, 440, 525, 555, 3986, 32, 508, 657, 398, 86, 4099, 5243, 32, 1260, 346, 398, 1356, 32, 1216, 794, 86, 27, 203, 497, 376, 494 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 2, 2, 3, 3, 0, 1, 1, 3, 4, 2, 2, 3, 3, 0, 1, 1, 3, 4, 3, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 3, 4, 3, 4, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 3, 3, 0, 2, 0, 4, 4, 1, 1, 2, 2, 2, 0, 4, 4, 0, 2, 0, 4, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 1, 1, 1, 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, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1427, 1643, 505, 280, 330, 268, 25120, 878, 931, 25, 203, 505, 464, 505, 280, 330, 7900, 1510, 81, 2536, 1519, 12595, 665, 983, 665, 7202, 292, 4789, 506, 81, 2950, 559, 81, 2950, 624, 81, 2950, 1593, 81, 2950, 2473, 2998, 346, 203, 465, 5237, 203, 1070, 2322, 1188, 2857, 30, 665, 983, 30, 1519, 12595, 30, 16277, 30, 506, 81, 2950, 30, 559, 81, 2950, 30, 624, 81, 2950, 30, 1593, 81, 2950, 203, 1070, 2322, 32, 983, 1188, 5375, 30, 24797, 30, 6122, 30, 7140, 203, 5910, 280, 5237, 32, 5134, 32, 15990, 463, 4463, 683, 203, 589, 983, 280, 16277, 32, 371, 463, 4065, 370, 665, 983, 547, 2998, 26, 983, 12595, 27, 203, 325, 11305, 44, 284, 665, 983, 32, 3215, 26, 34, 30, 41723, 3701, 10925, 280, 739, 346, 284, 665, 983, 280, 428, 1515, 436, 4921, 328, 665, 983, 415, 4921, 32, 5729, 346, 646, 328, 10925, 461, 646, 10925, 32, 669, 26, 1515, 32, 5729, 1157, 79, 284, 3555, 10925, 284, 665, 7202, 292, 4789, 280, 2107, 785, 474, 16277, 32, 371, 463, 4065, 2399, 370, 291, 5608, 8670, 32506, 33380, 32506, 52, 722, 32506, 8185, 32506, 72, 11413, 32506, 72, 4657, 32506, 4624, 32506, 60, 807, 32506, 3951, 56, 32506, 73, 2514, 32506, 26193, 1814, 5729, 922, 2998, 26, 983, 12595, 27, 203, 1824, 44, 284, 665, 7202, 292, 4789, 280, 2107, 785, 203, 589, 1510, 81, 2536, 26, 761, 30, 2926, 47, 56, 81, 2950, 523, 1593, 81, 2950, 30, 1519, 47, 2521, 30, 8402, 292, 4789, 47, 2521, 711, 284, 16765, 30, 803, 280, 6122, 26, 761, 27, 284, 415, 16765, 44, 291, 1519, 280, 308, 13425, 21713, 284, 4348, 1519, 438, 1665, 44, 291, 1519, 280, 665, 983, 284, 4348, 6937, 26, 983, 30, 596, 711, 291, 1519, 280, 1519, 32, 2998, 26, 983, 12595, 27, 284, 415, 8402, 292, 4789, 438, 1665, 44, 291, 8402, 292, 4789, 280, 665, 7202, 292, 4789, 284, 4348, 6937, 26, 7202, 292, 4789, 30, 596, 711, 291, 8402, 292, 4789, 280, 8402, 292, 4789, 32, 2998, 26, 983, 12595, 27, 284, 415, 646, 4247, 328, 8402, 292, 4789, 44, 291, 8402, 292, 4789, 32, 3215, 26, 34, 30, 9142, 3701, 436, 4921, 328, 1519, 44, 291, 1695, 983, 280, 7140, 26, 1515, 30, 803, 27, 291, 436, 1447, 328, 8402, 292, 4789, 44, 324, 3536, 983, 280, 1695, 983, 474, 1447, 324, 415, 5375, 26, 2620, 983, 27, 461, 2857, 26, 2620, 983, 30, 2926, 711, 400, 6761, 3536, 983, 203, 589, 1510, 26, 761, 30, 2926, 47, 56, 81, 2950, 523, 1593, 81, 2950, 30, 1519, 47, 2521, 30, 8402, 292, 4789, 47, 2521, 711, 284, 1596, 44, 291, 442, 3850, 26, 7900, 81, 2536, 26, 761, 30, 2926, 30, 1519, 30, 8402, 292, 4789, 3427, 1978, 346, 284, 2940, 12305, 21863, 44, 291, 1596, 44, 324, 645, 19493, 1188, 45366, 1438, 291, 2940, 29986, 44, 324, 45366, 1438, 280, 225, 36, 291, 3636, 45338, 26, 21125, 1438, 30, 6611, 101, 646, 2431, 25, 904, 308, 2816, 549, 1593, 81, 2950 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 0, 3, 3, 2, 2, 6, 7, 6, 8, 8, 6, 7, 6, 5, 4, 5, 5, 4, 0, 1, 1, 1, 1, 1, 6, 5, 6, 5, 6, 5, 5, 2, 2, 4, 4, 6, 2, 2, 5, 4, 4, 6, 5, 6, 6, 6, 7, 5, 6, 10, 11, 10, 8, 8, 8, 7, 7, 8, 10, 11, 10, 13, 12, 13, 12, 5, 2, 2, 3, 2, 2, 5, 5, 5, 4, 4, 8, 5, 5, 11, 12, 11, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 9, 8, 7, 8, 8, 7, 1, 2, 2, 2, 2, 6, 6, 6, 5, 5, 8, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 5, 5, 5, 4, 4, 5, 5, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 2, 2, 3, 3, 3, 3, 6, 6, 8, 7, 3, 3, 4, 5, 5, 4, 4, 4, 7, 7, 8, 3, 3, 4, 6, 7, 6, 6, 6, 4, 4, 7, 7, 9, 10, 9, 10, 10, 9, 2, 2, 3, 5, 5, 4, 4, 3, 3, 3, 7, 7, 6, 6, 7, 7, 7, 3, 3, 4, 6, 7, 7, 7, 6, 6, 6, 4, 4, 8, 8, 7, 7, 10, 10, 9, 10, 9, 10, 10, 9, 2, 2, 3, 4, 5, 5, 6, 6, 3, 3, 3, 8, 8, 7, 8, 7, 8, 7, 7, 2, 2, 3, 3, 3, 3, 3, 3, 7, 6, 6, 8, 9, 8, 8, 8, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 9, 8, 8, 10, 9, 9, 6, 6, 7, 10, 11, 11, 10, 8, 8, 10, 11, 11, 10, 10, 10, 7, 7, 10, 11, 0, 1, 1, 2, 3, 2, 2, 3, 5, 5, 5, 4, 4, 5, 5, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 3, 3, 5, 9, 11, 11, 11, 11, 12, 11, 11, 11, 11, 11, 11, 12, 12, 11, 8, 7, 3, 3, 4, 5, 4, 4, 4, 6, 6, 6, 8, 8, 8, 10, 6, 6, 7, 7, 7, 7, 11, 10, 10, 11, 5, 5, 6, 8, 9, 9, 8, 8, 11, 11, 11, 11, 9, 9, 14, 13, 13, 14, 14 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 2, 1, 1, 1, 1, 0, 7, 7, 7, 7, 7, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 1, 3, 3, 0, 0, 0, 1, 2, 2, 2, 2, 3, 2, 3, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 7, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 0, 8, 8, 1, 1, 2, 1, 2, 2, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 8, 8, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 4, 1, 1, 4, 4, 4, 0, 0, 2, 1, 1, 5, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 2, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 9, 9, 2, 1, 2, 2, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 9, 9, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 2, 1, 0, 0, 3, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2 ]
[ 465, 2322, 203, 465, 8888, 37, 36, 1237, 203, 465, 8888, 37, 36, 468, 203, 465, 8888, 37, 36, 1567, 203, 465, 8888, 37, 36, 2122, 203, 465, 8888, 37, 36, 2122, 1040, 203, 1070, 43744, 978, 32, 2416, 1188, 341, 419, 4891, 30, 10252, 203, 823, 6497, 9479, 1972, 26, 5558, 32, 5291, 4152, 711, 284, 665, 1156, 1664, 3207, 784, 30, 6866, 711, 291, 630, 32, 297, 81, 470, 280, 3177, 291, 10252, 32, 5291, 4152, 3667, 1664, 3207, 784, 30, 6866, 27, 284, 665, 1477, 26, 784, 711, 291, 415, 630, 32, 297, 81, 470, 44, 324, 630, 32, 4891, 32, 751, 463, 1972, 436, 2549, 5216, 3425, 739, 6418, 3193, 47, 38, 34, 27, 324, 442, 291, 1056, 280, 8888, 37, 36, 1237, 32, 885, 7633, 9479, 1972, 26, 784, 32, 2956, 30, 225, 35, 27, 291, 415, 1056, 610, 225, 34, 44, 324, 630, 32, 4891, 32, 751, 463, 9752, 646, 1756, 7633, 9479, 1972, 308, 731, 904, 100, 9905, 904, 225, 656, 8888, 37, 36, 1237, 32, 936, 22769, 1026, 3193, 47, 38, 34, 27, 291, 813, 44, 324, 630, 32, 4891, 32, 751, 463, 885, 4899, 436, 2549, 5216, 6418, 3193, 47, 38, 34, 27, 324, 630, 32, 297, 81, 470, 280, 2933, 284, 665, 4719, 26, 784, 711, 291, 415, 646, 630, 32, 297, 81, 470, 44, 324, 630, 32, 4891, 32, 751, 463, 1972, 436, 2549, 5216, 3425, 2126, 6418, 3193, 47, 38, 34, 27, 324, 442, 291, 1596, 44, 324, 1056, 280, 8888, 37, 36, 1237, 32, 885, 7633, 9479, 1972, 26, 784, 32, 2956, 30, 225, 34, 27, 291, 2940, 10091, 44, 324, 1056, 280, 225, 35, 291, 415, 1056, 610, 225, 34, 44, 324, 630, 32, 4891, 32, 751, 463, 9752, 646, 3345, 1756, 7633, 9479, 1972, 308, 731, 904, 100, 9905, 904, 225, 656, 8888, 37, 36, 1237, 32, 936, 22769, 1026, 3193, 47, 38, 34, 27, 291, 813, 44, 324, 630, 32, 4891, 32, 751, 463, 16986, 4899, 436, 2549, 5216, 6418, 3193, 47, 38, 34, 27, 324, 630, 32, 297, 81, 470, 280, 3177, 284, 665, 2887, 26, 784, 30, 1692, 711, 291, 415, 1692, 328, 308, 4463, 37, 36, 468, 32, 10706, 81, 53, 81, 8055, 30, 8888, 37, 36, 468, 32, 10706, 81, 3602, 6664, 81, 8055, 30, 3486, 8888, 37, 36, 468, 32, 10706, 81, 26924, 81, 8055, 30, 8888, 37, 36, 468, 32, 10706, 81, 48682, 10445, 81, 8055, 30, 3486, 8888, 37, 36, 468, 32, 10706, 81, 18773, 81, 8055, 711, 324, 630, 32, 4891, 32, 751, 463, 7633, 1692, 904, 101, 44, 26061, 1054, 2835, 6866, 25, 904, 1692, 27, 324, 1596, 44, 400, 630, 32, 4048, 346, 324, 2940, 10091, 44, 400, 3097, 324, 630, 32, 4891, 32, 4775, 346, 324, 442, 225, 35, 291, 442, 225, 34, 203, 823, 13378, 37, 36, 5990, 26, 36165, 4891, 32, 5990, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 5057, 280, 2149, 291, 341, 419, 4891, 32, 5990, 3667, 1664, 3207, 784, 27, 284, 665, 617, 371, 81, 1293 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 8, 9, 9, 7, 8, 8, 8, 7, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 9, 10, 11, 11, 9, 6, 6, 4, 4, 6, 6, 9, 9, 9, 8, 9, 9, 9, 9, 8, 10, 9, 10, 8, 8, 9, 8, 4, 4, 5, 6, 6, 7, 5, 5, 5, 10, 11, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 10, 13, 13, 13, 12, 13, 13, 12, 9, 10, 11, 11, 9, 5, 5, 6, 6, 6, 11, 12, 10, 11, 10, 12, 12, 12, 12, 12, 12, 10, 11, 12, 12, 10, 7, 7, 10, 11, 11, 11, 9, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 7, 8, 8, 8, 5, 5, 5, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 9, 10, 11, 11, 9, 6, 6, 4, 4, 5, 5, 5, 8, 8, 11, 11, 11, 10, 11, 11, 11, 11, 10, 12, 11, 12, 10, 10, 11, 10, 5, 5, 6, 6, 6, 6, 9, 9, 10, 4, 4, 5, 6, 6, 7, 5, 5, 5, 10, 11, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 10, 13, 13, 13, 12, 13, 13, 12, 9, 10, 11, 11, 9, 5, 5, 6, 6, 6, 11, 12, 10, 11, 10, 12, 12, 12, 12, 12, 12, 10, 11, 12, 12, 10, 7, 7, 10, 11, 11, 11, 9, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 5, 5, 10, 11, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 9, 6, 6, 7, 7, 7, 11, 12, 11, 7, 7, 8, 8, 8, 8, 6, 6, 10, 11, 9, 10, 9, 6, 6, 7, 8, 4, 4, 5, 6, 0, 1, 1, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 9, 9, 8, 9, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 6, 6, 0, 7, 7, 1, 1, 2, 0, 1, 2, 2, 2, 7, 7, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 3, 3, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 3, 2, 2, 1, 2, 2, 4, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 4, 4, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 3, 3, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 0, 0, 2, 4, 4, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 3, 2, 2, 1, 2, 2, 4, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 4, 4, 3, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 5, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 9, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 0, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 1, 3, 3, 3, 1, 4, 4, 1, 1, 0, 8, 8, 1, 1, 1, 2, 0, 0, 1, 2, 2, 8, 8, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 0, 2, 0, 2, 2, 1, 1, 4, 4, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 1459, 81, 1126, 30, 15390, 81, 30839, 30, 766, 284, 7976, 81, 465, 203, 1070, 18792, 32, 21332, 1188, 2155, 203, 465, 5237, 203, 465, 2322, 203, 465, 316, 203, 465, 7138, 203, 1070, 31074, 1188, 4054, 203, 1070, 13625, 1188, 33953, 203, 465, 6436, 619, 2065, 203, 1070, 3619, 1287, 2518, 1188, 498, 23353, 203, 1070, 3619, 1287, 2518, 32, 1262, 32, 5999, 1188, 19247, 203, 1070, 3619, 1287, 2518, 32, 1262, 32, 12537, 1188, 358, 4785, 4815, 203, 1070, 3619, 1287, 2518, 32, 716, 32, 3535, 98, 32, 8075, 1188, 701, 3718, 30, 18562, 3718, 203, 1070, 3619, 1287, 2518, 32, 716, 32, 3535, 98, 32, 8075, 1188, 23266, 3718, 30, 1224, 3953, 203, 1070, 3619, 1287, 2518, 32, 716, 32, 3535, 98, 32, 10931, 1188, 4306, 3718, 30, 676, 302, 777, 311, 203, 1070, 3619, 1287, 2518, 32, 7919, 27261, 32, 11099, 5999, 1188, 13326, 69, 12179, 61, 983, 203, 1070, 40096, 431, 2531, 32, 26518, 431, 2531, 1188, 390, 675, 431, 2531, 203, 1070, 31343, 107, 32, 1260, 1188, 488, 1960, 444, 30, 28740, 107, 8770, 203, 1070, 31343, 107, 32, 17867, 1188, 10128, 3359, 203, 1070, 7680, 11201, 32, 17960, 1188, 12587, 1844, 72, 11797, 1612, 885, 30, 12587, 1844, 72, 11797, 3782, 203, 1070, 7680, 11201, 32, 3337, 1188, 13199, 30, 498, 365, 363, 203, 1070, 7680, 11201, 32, 2304, 1188, 622, 81, 460, 81, 46449, 30, 622, 81, 10449, 95, 418, 81, 800, 30, 622, 81, 10449, 95, 418, 81, 1549, 95, 30, 766, 284, 622, 81, 10449, 95, 418, 81, 934, 87, 30, 622, 81, 10449, 95, 418, 81, 1664, 30, 1459, 81, 3893, 30, 371, 81, 286, 579, 81, 5999, 203, 1070, 7680, 11201, 32, 1287, 36, 86, 32, 17916, 295, 81, 5999, 1188, 622, 81, 36, 54, 81, 90, 277, 81, 93, 3953, 9841, 284, 622, 81, 36, 54, 81, 3563, 282, 81, 90, 277, 81, 26279, 30, 622, 81, 36, 54, 81, 3563, 282, 81, 90, 277, 203, 1070, 7680, 11201, 32, 1536, 81, 4073, 1188, 622, 81, 1536, 81, 4073, 203, 505, 2116, 505, 280, 313, 61, 19219, 5850, 292, 105, 30, 971, 13821, 3531, 971, 32, 570, 360, 40941, 20, 203, 505, 11794, 505, 280, 313, 10581, 225, 36, 34, 35, 41, 30, 677, 9616, 365, 1363, 20, 203, 505, 42086, 505, 280, 313, 60, 13821, 3531, 971, 32, 570, 360, 40941, 20, 203, 505, 1935, 505, 280, 313, 92, 13821, 28162, 40941, 43, 36, 50, 7253, 32, 508, 20, 203, 505, 1517, 505, 280, 313, 24504, 20, 203, 505, 770, 505, 280, 313, 35612, 225, 37, 30, 225, 36, 34, 35, 41, 20, 203, 4073, 280, 622, 81, 1536, 81, 4073, 4064, 426, 8223, 203, 823, 6403, 45950, 26, 63, 1960, 444, 711, 284, 5776, 81, 3539, 280, 313, 1282, 45950, 32, 1260, 20, 284, 665, 1156, 1664, 3207, 784, 30, 328, 3718, 30, 3400, 3718, 30, 8476, 3718, 30, 831, 3953, 30, 2664, 47, 2521, 30, 353, 438, 81, 4873, 47, 2700, 30, 7835, 81, 681, 1057, 51, 370, 353 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 5, 5, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 7, 7, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 7, 7, 0, 8, 8, 1, 1, 0, 9, 9, 0, 0, 9, 9, 0, 0, 10, 10, 0, 0, 1, 2, 1, 4, 10, 10, 0, 11, 11, 0, 0, 1, 2, 1, 4, 11, 11, 0, 0, 0, 12, 12, 0, 0, 1, 2, 1, 4, 4, 1, 6, 12, 12, 0, 12, 12, 0, 0, 13, 13, 0, 0, 1, 2, 1, 4, 4, 1, 6, 13, 13, 0, 13, 13, 0, 0, 14, 14, 0, 0, 1, 2, 1, 4, 4, 1, 6, 14, 14, 0, 14, 14, 0, 0, 0, 0, 15, 15, 0, 0, 1, 2, 2, 1, 4, 4, 15, 15, 0, 0, 0, 0, 0, 16, 16, 0, 0, 1, 2, 2, 2, 16, 16, 0, 0, 0, 0, 17, 17, 0, 1, 2, 17, 17, 0, 0, 17, 17, 0, 0, 0, 18, 18, 0, 1, 2, 18, 18, 0, 0, 19, 19, 0, 1, 2, 19, 19, 0, 0, 0, 0, 0, 19, 19, 0, 0, 0, 0, 0, 20, 20, 0, 1, 2, 20, 20, 20, 20, 0, 0, 0, 21, 21, 0, 1, 2, 21, 21, 0, 0, 0, 0, 21, 21, 0, 0, 0, 0, 0, 0, 21, 21, 0, 0, 0, 0, 0, 0, 0, 21, 21, 9, 21, 0, 0, 0, 0, 0, 0, 0, 21, 21, 0, 0, 0, 0, 0, 0, 21, 21, 0, 0, 21, 0, 0, 0, 0, 0, 0, 0, 22, 22, 0, 1, 2, 2, 2, 1, 4, 4, 4, 4, 22, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 5, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23, 23, 0, 1, 2, 2, 2, 23, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 31, 31, 1, 2, 1, 1, 1, 2, 31, 31, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 2, 11, 2, 2, 2, 2, 0, 0, 13, 2, 2, 2, 0, 0, 15, 1, 2, 2 ]
[ 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, 301, 284, 330, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 284, 330, 1517, 950, 2107, 8687, 2188, 284, 330, 7095, 81, 1170, 950, 330, 11863, 25, 203, 111, 203, 24021, 2893, 280, 1524, 203, 1559, 203, 1647, 44, 8186, 95, 81, 5866, 81, 3893, 203, 2116, 44, 284, 429, 47913, 36960, 10451, 272, 17423, 11931, 68, 1226, 69, 31, 53, 35, 37, 41, 27, 203, 4021, 81, 2310, 44, 2648, 30, 1974, 556, 10080, 10156, 81, 5866, 3756, 3414, 328, 358, 21458, 500, 632, 9027, 203, 2310, 44, 284, 429, 2648, 30, 1974, 556, 10080, 312, 10156, 81, 5866, 3756, 3414, 328, 358, 1952, 2253, 69, 632, 9027, 32, 284, 429, 1348, 2297, 5652, 372, 1159, 322, 12433, 40798, 432, 322, 632, 9027, 372, 526, 25249, 32, 203, 1648, 81, 11043, 44, 313, 36, 32, 42, 20, 203, 2184, 44, 284, 636, 44, 291, 3048, 44, 324, 429, 886, 636, 432, 322, 1300, 32, 13508, 526, 1654, 372, 12411, 322, 3414, 291, 2129, 44, 2933, 291, 827, 44, 596, 284, 3089, 44, 291, 3048, 44, 324, 429, 886, 19236, 372, 526, 1654, 623, 322, 8036, 432, 322, 1519, 3395, 291, 1244, 44, 330, 3349, 25, 291, 16682, 44, 324, 429, 330, 3349, 25, 324, 429, 330, 758, 25, 291, 2129, 44, 3177, 291, 827, 44, 596, 284, 1519, 44, 291, 3048, 44, 324, 429, 886, 7842, 322, 3756, 328, 322, 10156, 7664, 438, 3417, 436, 291, 827, 44, 1149, 291, 1244, 44, 1605, 291, 2129, 44, 3177, 284, 7116, 81, 2988, 81, 349, 268, 1966, 81, 9211, 44, 291, 3048, 44, 324, 429, 399, 1149, 432, 361, 268, 1966, 372, 526, 20434, 291, 827, 44, 1149, 291, 1244, 44, 1605, 291, 2129, 44, 3177, 284, 7116, 81, 349, 268, 1966, 81, 2029, 81, 6956, 44, 291, 3048, 44, 324, 429, 14054, 1510, 12770, 432, 361, 268, 1966, 884, 20434, 291, 827, 44, 1149, 291, 1244, 44, 1605, 291, 2129, 44, 3177, 284, 7116, 453, 44, 291, 3048, 44, 324, 429, 17221, 322, 16376, 46410, 6906, 10137, 291, 1244, 44, 3177, 291, 827, 44, 1560, 291, 2129, 44, 3177, 284, 7116, 3371, 13606, 44, 291, 3048, 44, 324, 429, 6575, 12462, 623, 6658, 316, 45783, 291, 1244, 44, 3177, 291, 827, 44, 1560, 291, 2129, 44, 3177, 284, 7116, 9534, 44, 291, 3048, 44, 324, 429, 17221, 322, 28411, 7431, 299, 1505, 291, 1244, 44, 3177, 291, 827, 44, 1560, 291, 2129, 44, 3177, 284, 7116, 599, 44, 291, 3048, 44, 324, 429, 11600, 2234, 6784, 10876, 291, 1244, 44, 3177, 291, 827, 44, 1560, 291, 2129, 44, 3177, 284, 7116, 599, 81, 9785, 1956, 44, 291, 3048, 44, 324, 429, 11600, 2234, 6784, 10876, 623, 5816, 7937, 291, 1244, 44, 3177, 291, 827, 44, 1560, 291, 2129, 44, 3177, 284, 7116, 916, 22179, 44, 291, 3048, 44, 324, 429, 34370, 8187, 4428, 291, 1244, 44, 3177, 291, 827, 44, 1560, 291, 2129, 44 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 3, 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, 3, 3, 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 ]
[ 0, 0, 0, 0, 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, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 5741, 203, 1070, 8778, 1188, 617, 203, 81, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 452, 81, 35, 43, 280, 308, 330, 8039, 370, 225, 330, 3582, 370, 261, 330, 8617, 370, 225, 330, 17803, 370, 330, 19630, 370, 261, 330, 34515, 370, 261, 330, 45350, 370, 616, 330, 903, 2465, 370, 330, 55, 694, 370, 330, 64, 482, 370, 330, 26478, 370, 261, 330, 19727, 2465, 370, 330, 10267, 342, 587, 370, 330, 1027, 476, 36389, 370, 616, 330, 19630, 36389, 370, 330, 56, 325, 36389, 370, 330, 45350, 36389, 370, 330, 903, 654, 42347, 370, 330, 55, 694, 42347, 370, 330, 64, 13246, 42347, 25, 829, 203, 102, 1229, 225, 280, 308, 330, 10267, 25570, 370, 330, 1027, 45815, 370, 330, 34114, 107, 370, 330, 56, 25327, 370, 330, 45350, 618, 370, 330, 903, 654, 107, 370, 330, 55, 694, 107, 370, 330, 35374, 11449, 683, 203, 29805, 280, 308, 2550, 616, 330, 1027, 3291, 363, 370, 262, 330, 63, 21082, 370, 263, 330, 19635, 285, 370, 958, 330, 854, 21082, 370, 958, 330, 40771, 21082, 370, 616, 330, 1238, 410, 21082, 370, 225, 330, 69, 407, 21082, 370, 647, 330, 903, 385, 21082, 370, 264, 330, 16202, 21082, 370, 647, 330, 3910, 21082, 370, 616, 330, 13774, 21082, 370, 264, 330, 1061, 6114, 21082, 370, 262, 330, 25961, 402, 85, 21082, 370, 225, 330, 17244, 6114, 21082, 370, 261, 330, 1238, 3131, 103, 271, 6114, 21082, 370, 616, 330, 33283, 6114, 21082, 370, 330, 903, 39811, 6114, 21082, 370, 330, 16202, 402, 85, 21082, 370, 330, 22124, 405, 6114, 21082, 370, 330, 72, 365, 410, 21082, 25, 829, 203, 589, 617, 5954, 81, 3997, 26, 695, 711, 284, 415, 909, 333, 225, 36, 34, 44, 291, 442, 372, 81, 35, 43, 77, 695, 79, 284, 436, 308, 3455, 368, 30, 343, 695, 27, 328, 1833, 93, 30, 225, 36, 34, 474, 308, 35, 34, 319, 354, 490, 436, 308, 104, 30, 831, 27, 328, 10703, 26, 102, 1229, 8531, 291, 415, 343, 695, 474, 225, 35, 34, 848, 909, 44, 324, 415, 909, 904, 225, 35, 34, 44, 400, 442, 343, 3625, 474, 20514, 474, 372, 81, 35, 43, 77, 695, 904, 225, 35, 34, 79, 324, 442, 343, 3625, 203, 589, 617, 5954, 81, 3997, 96, 26, 695, 711, 284, 3594, 280, 4247, 284, 308, 1803, 30, 5387, 27, 280, 308, 695, 904, 225, 35, 34, 34, 30, 909, 434, 225, 35, 34, 34, 27, 284, 415, 5387, 848, 225, 34, 44, 291, 3594, 280, 372, 81, 35, 43, 77, 3546, 79, 474, 330, 677, 20142, 25, 291, 415, 2047, 848, 225, 34, 44, 324, 3594, 1454, 330, 330, 284, 415, 2047, 848, 225, 34, 44, 291, 3594, 1454, 617, 5954, 81, 3997, 26, 1803, 27, 284, 442, 3594, 203, 589, 40230, 81, 2171, 26, 695, 711, 284, 415, 909, 333, 225, 35, 34, 34, 44, 291, 442, 617, 5954, 81, 3997, 26, 695, 27, 284, 415, 909, 333, 225, 35, 34, 34, 34, 44, 276, 442, 617, 5954, 81, 3997, 96, 26, 695, 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, 0, 1, 1, 1, 1, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 2, 2, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 0, 3, 3, 2, 2, 2, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 0, 3, 2, 2, 3, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 5, 3, 3, 3, 5, 7, 7, 7, 6, 7, 6, 2, 2, 3, 5, 5, 4, 4, 5, 4, 3, 3, 6, 5, 5, 7, 7, 6, 6, 9, 9, 8, 8, 7, 4, 5, 7, 6, 6, 6, 5, 5, 7, 8, 8, 7, 3, 3, 5, 8, 7, 7, 8, 8, 6, 6, 5, 5, 5, 7, 8, 8, 9, 9, 7, 7, 7, 9, 12, 11, 11, 10, 10, 12, 12, 12, 11, 13, 12, 12, 13, 13, 11, 6, 6, 7, 8, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 6, 5, 5, 5, 4, 4, 7, 6, 6, 7, 7, 7, 5, 5, 6, 6, 7, 7, 7, 5, 2, 2, 3, 4, 4, 5, 3, 3, 3, 6, 6, 9, 9, 9, 8, 9, 8, 7, 7, 9, 9, 9, 4, 4, 5, 6, 6, 7, 5, 5, 5, 8, 8, 10, 2, 2, 3, 4, 4, 5, 3, 3, 3, 6, 6, 8, 8, 8, 8, 9, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 5, 5, 3, 3, 3, 5, 7, 7, 7, 7, 8, 7, 2, 2, 3, 4, 4, 5, 5, 5, 5, 3, 3, 3, 5, 7, 7, 7, 7, 7, 8, 7 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 0, 0, 1, 1, 2, 3, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 3, 3, 1, 1, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 4, 4, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 3, 3, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 4, 4, 3, 1, 1, 2, 3, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 4, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1 ]
[ 465, 2361, 203, 465, 4395, 203, 1070, 281, 15130, 1188, 1619, 203, 1070, 281, 15130, 32, 4882, 32, 2243, 32, 37052, 1363, 1188, 11152, 81, 37052, 1363, 203, 1070, 281, 15130, 32, 4882, 32, 2243, 1188, 11152, 81, 9777, 619, 11152, 203, 1070, 281, 15130, 32, 4882, 32, 2243, 1188, 11152, 81, 10799, 203, 1070, 281, 15130, 32, 4882, 32, 2243, 1188, 11152, 81, 7236, 203, 1070, 281, 15130, 32, 4882, 32, 2243, 32, 7236, 32, 18150, 32, 405, 85, 1188, 5247, 716, 203, 1070, 281, 15130, 32, 4882, 32, 2243, 32, 7236, 32, 18150, 32, 405, 85, 32, 3804, 716, 1188, 32211, 203, 823, 2108, 40513, 7332, 26, 3804, 716, 32, 1006, 5234, 2338, 6636, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 1006, 40513, 7332, 30, 630, 547, 23741, 346, 291, 630, 32, 2095, 280, 1619, 32, 39034, 463, 9539, 370, 330, 9539, 370, 3796, 81, 1956, 47, 1815, 27, 291, 630, 32, 37052, 81, 1363, 280, 308, 324, 11152, 81, 37052, 1363, 32, 9539, 81, 37052, 1473, 81, 2067, 26, 400, 630, 32, 2095, 30, 1115, 12157, 314, 950, 11152, 32, 1725, 31852, 25579, 81, 9779, 81, 779, 18364, 291, 11152, 81, 7236, 35, 280, 11152, 81, 7236, 32, 9539, 81, 7236, 81, 2067, 26, 324, 630, 32, 2095, 30, 324, 1115, 12157, 314, 950, 11152, 32, 33593, 81, 779, 30, 330, 6385, 81, 314, 950, 11152, 32, 32749, 81, 779, 1748, 291, 11152, 81, 7236, 36, 280, 11152, 81, 7236, 32, 9539, 81, 7236, 81, 2067, 26, 324, 630, 32, 2095, 30, 324, 1115, 12157, 314, 950, 11152, 32, 33593, 36, 81, 779, 30, 330, 6385, 81, 314, 950, 11152, 32, 32749, 36, 81, 779, 1748, 291, 11152, 81, 7236, 37, 280, 11152, 81, 7236, 32, 9539, 81, 7236, 81, 2067, 26, 324, 630, 32, 2095, 30, 324, 1115, 12157, 314, 950, 11152, 32, 33593, 37, 81, 779, 30, 330, 6385, 81, 314, 950, 11152, 32, 32749, 37, 81, 779, 1748, 291, 11152, 81, 7236, 38, 280, 11152, 81, 7236, 32, 9539, 81, 7236, 81, 2067, 26, 324, 630, 32, 2095, 30, 324, 1115, 12157, 314, 950, 11152, 32, 33593, 38, 81, 779, 30, 330, 6385, 81, 314, 950, 11152, 32, 32749, 38, 81, 779, 1748, 291, 630, 32, 27611, 280, 428, 9539, 81, 7236, 35, 30, 11152, 81, 7236, 36, 79, 291, 630, 32, 27611, 36, 280, 428, 9539, 81, 7236, 37, 30, 11152, 81, 7236, 38, 79, 291, 11152, 81, 10799, 35, 280, 11152, 81, 10799, 32, 9539, 81, 10799, 81, 2067, 26, 324, 630, 32, 2095, 30, 324, 1115, 12157, 314, 950, 11152, 32, 20428, 81, 779, 30, 330, 7236, 81, 314, 950, 11152, 32, 33593, 81, 779, 30, 3083, 330, 7236, 950, 11152, 81, 7236, 35, 1748, 291, 11152, 81, 10799, 36, 280, 11152, 81, 10799, 32, 9539, 81, 10799, 81, 2067, 26, 324, 630, 32, 2095, 30, 324, 1115, 12157, 314, 950, 11152, 32, 20428, 36, 81, 779, 30, 330, 7236, 81, 314, 950, 11152, 32, 33593, 36, 81, 779, 30, 330, 7236, 950, 400, 11152, 81, 7236, 36, 1748, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 8, 10, 10, 8, 10, 10, 9, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 10, 11, 9, 9, 11, 14, 14, 12, 13, 14, 14, 14, 14, 14, 14, 14, 11, 4, 4, 7, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 8, 8, 9, 10, 8, 8, 8, 10, 13, 13, 11, 12, 13, 13, 13, 10, 10, 13, 13, 13, 13, 11, 12, 13, 13, 13, 10, 4, 4, 7, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 8, 8, 9, 10, 8, 8, 8, 10, 13, 13, 11, 12, 13, 13, 13, 13, 10, 10, 13, 13, 13, 13, 11, 12, 13, 13, 13, 13, 10, 4, 4, 7, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 8, 8, 9, 10, 8, 8, 8, 10, 13, 13, 11, 12, 13, 13, 13, 13, 10, 10, 13, 13, 13, 13, 11, 12, 13, 13, 13, 13, 10, 4, 4, 7, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 8, 8, 9, 10, 8, 8, 8, 10, 13, 13, 11, 12, 13, 13, 13, 13, 10, 10, 13, 13, 13, 13, 11, 12, 13, 13, 13, 13, 10, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 8, 8, 9, 10, 8, 8, 8, 10, 13, 13, 11, 12, 13, 13, 13, 10, 10, 13, 13, 13, 13, 11, 12, 13, 13, 13, 10, 10, 10, 13, 13, 11, 12, 12, 12, 10, 4, 4, 7, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 8, 8, 9, 10, 8, 8, 8, 10, 13, 13, 11, 12, 13, 13, 13, 13, 10, 10, 13, 13, 13, 13, 11, 12, 13, 13, 13, 13, 10, 10, 13, 13, 11, 11, 12, 12, 12, 10, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 6, 3, 3, 0, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 3, 3, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 10, 7, 7, 0, 0, 8, 8, 0, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 10, 1, 12, 12, 8, 8, 0, 9, 9, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 9, 9, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 5, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 4, 4, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 1, 1, 1, 1, 2, 5, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 2, 5, 5, 2, 2, 2, 1, 4 ]
[ 465, 5237, 203, 465, 6234, 203, 465, 5741, 203, 465, 316, 203, 1070, 33379, 1188, 439, 1161, 203, 823, 26828, 1164, 1161, 26, 59, 1161, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 2965, 30, 4845, 1250, 280, 225, 35, 34, 36, 38, 30, 5868, 47, 35, 39, 711, 291, 2599, 26, 6543, 1164, 1161, 30, 630, 14585, 1664, 3207, 426, 27, 291, 630, 32, 9184, 280, 1665, 291, 630, 32, 1954, 1250, 280, 1665, 291, 630, 32, 2961, 26, 2468, 30, 4845, 1250, 30, 5868, 27, 284, 665, 1156, 4025, 3207, 784, 711, 291, 630, 32, 4173, 346, 284, 665, 3927, 26, 784, 30, 2965, 30, 4845, 1250, 280, 225, 35, 34, 36, 38, 30, 5868, 47, 35, 39, 711, 291, 1596, 44, 324, 630, 32, 9184, 280, 6234, 32, 4817, 26, 4817, 32, 5995, 81, 21399, 30, 6234, 32, 30492, 81, 13169, 27, 324, 630, 32, 9184, 32, 3517, 26, 2468, 27, 324, 630, 32, 9184, 32, 470, 5457, 26, 5457, 27, 324, 630, 32, 1954, 1250, 280, 4845, 1250, 324, 630, 32, 27800, 280, 2933, 324, 630, 32, 1293, 280, 630, 32, 2952, 81, 2950, 291, 2940, 3268, 44, 324, 630, 32, 27800, 280, 3177, 324, 630, 32, 1293, 280, 630, 32, 2952, 81, 2930, 324, 5741, 32, 731, 440, 4881, 2156, 14453, 6234, 657, 284, 665, 11910, 26, 784, 711, 291, 1596, 44, 324, 630, 32, 9184, 32, 2679, 346, 324, 630, 32, 27800, 280, 3177, 324, 630, 32, 1293, 280, 630, 32, 2952, 81, 2950, 291, 2940, 3268, 44, 324, 630, 32, 1293, 280, 630, 32, 2952, 81, 2930, 324, 5741, 32, 731, 440, 4881, 4230, 14453, 22682, 364, 657, 284, 665, 1390, 1811, 26, 784, 30, 47109, 280, 1665, 711, 291, 415, 630, 32, 9184, 438, 1665, 556, 646, 630, 32, 27800, 556, 630, 32, 1293, 863, 630, 32, 2952, 81, 2950, 44, 324, 5741, 32, 731, 440, 14453, 6234, 646, 13197, 657, 324, 442, 1665, 291, 12121, 280, 323, 2699, 291, 312, 280, 323, 2699, 291, 1596, 44, 324, 415, 47109, 863, 1665, 44, 400, 312, 280, 630, 32, 9184, 32, 12084, 26, 784, 32, 1954, 1250, 27, 400, 12121, 1454, 312, 400, 2218, 5237, 32, 371, 7545, 26, 693, 27, 333, 47109, 474, 225, 35, 41, 44, 528, 456, 280, 5237, 32, 371, 7545, 26, 693, 27, 528, 312, 280, 630, 32, 9184, 32, 12084, 26, 784, 32, 1954, 1250, 27, 528, 12121, 1454, 312, 324, 813, 44, 400, 312, 280, 630, 32, 9184, 32, 12084, 26, 35, 27, 400, 12121, 1454, 312, 400, 2218, 312, 863, 323, 10255, 96, 950, 528, 312, 280, 630, 32, 9184, 32, 12084, 26, 35, 27, 528, 12121, 1454, 312, 291, 2940, 3268, 619, 484, 44, 324, 5741, 32, 731, 440, 4881, 1491, 14453, 6234, 657, 291, 415, 12121, 610, 323, 25, 950, 324, 5741, 32, 731, 440, 5868, 544, 14453, 6234, 657, 291, 5741, 32, 2811, 440, 1474, 5424, 44, 904, 101, 392, 12121, 27, 291, 12121, 280, 12121, 32, 7201, 26, 84, 10255, 96, 683, 291, 442, 12121, 284, 665, 13938, 1811, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 5, 5, 6, 6, 6, 6, 4, 4, 5, 6, 6, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 7, 8, 7, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 5, 5, 6, 6, 6, 6, 4, 4, 5, 6, 6, 4, 3, 3, 5, 5, 5, 9, 10, 8, 8, 10, 11, 10, 12, 11, 12, 12, 12, 10, 10, 11, 12, 12, 12, 10, 6, 6, 10, 11, 9, 10, 9, 10, 9, 6, 6, 10, 11, 9, 10, 10, 9, 10, 9, 6, 6, 9, 10, 10, 8, 8, 9, 6, 6, 9, 10, 8, 8, 6, 6, 9, 10, 8, 8, 9, 10, 10, 10, 5, 5, 6, 6, 6, 6, 10, 11, 9, 9, 7, 7, 10, 11, 9, 9, 10, 11, 11, 11, 7, 7, 10, 11, 10, 12, 12, 12, 12, 12, 2, 2, 3, 4, 5, 4, 3, 3, 5, 5, 5, 10, 11, 9, 10, 9, 6, 6, 9, 10, 8, 8, 6, 6, 9, 10, 8, 8, 9, 10, 10, 10, 5, 5, 6, 6, 6, 6, 10, 11, 9, 9, 10, 11, 11, 11, 7, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 9, 10, 8, 8, 7, 7, 8, 9, 10, 6, 6, 8, 9, 7, 7, 8, 9, 9, 9, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 6, 6, 7, 4, 4, 6, 6, 8, 4, 4, 6, 6, 8, 4, 4, 5, 5, 5, 7, 8, 8, 7, 7, 7, 10, 10, 13, 14, 12, 13, 12, 14, 13, 14, 14, 12, 8, 8, 10, 10, 8, 8, 9, 12, 13, 13, 12, 13, 12, 10, 10, 11, 11, 12, 12, 9, 9, 9, 12, 12, 14, 15, 15, 14, 15, 14, 10, 10, 12, 12, 15, 16, 14, 15, 14, 16, 15, 16, 16, 14, 10, 10, 12, 12, 7, 7, 8, 8, 8, 11, 11, 14, 15, 13, 14, 13, 14, 13, 9, 9, 11, 11, 9, 9, 10, 11, 11, 13, 14, 13, 10, 10, 13, 13, 16, 17, 15, 16, 15, 16, 15, 11, 11, 13, 13, 5, 5, 6, 7, 7, 6, 6, 6, 10, 11, 10, 12, 12, 12, 12, 12, 4, 4, 5, 6, 6, 8, 8, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 6, 6, 8, 9, 8, 10, 10, 11, 10, 4, 4, 5, 2, 2, 3, 4, 4, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 0, 5, 5, 1, 1, 2, 1, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 7, 7, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 0, 5, 5, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 2, 0, 0, 3, 3, 0, 2, 0, 0, 2, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 2, 0, 0, 2, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 3, 3, 1, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 3, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 3, 3, 0, 0, 3, 3, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 3, 3, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 3, 3, 3, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 0, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 2, 4, 4, 7, 4, 4, 5, 1, 2, 1 ]
[ 465, 31074, 203, 465, 2322, 203, 465, 2361, 203, 1070, 13625, 1188, 33953, 30, 31466, 203, 465, 5552, 2208, 203, 465, 3082, 102, 32, 2250, 203, 465, 3082, 102, 32, 2304, 203, 465, 3082, 102, 32, 1017, 203, 465, 3082, 102, 32, 17095, 203, 1070, 3082, 102, 32, 2304, 1188, 622, 81, 5010, 1649, 30, 4004, 620, 30, 438, 81, 681, 203, 1070, 3082, 102, 32, 42977, 1188, 6116, 265, 203, 465, 3082, 102, 32, 8524, 203, 465, 3082, 102, 32, 1819, 32, 4689, 203, 465, 3082, 102, 32, 21674, 32, 2250, 203, 465, 3082, 102, 32, 11452, 203, 465, 3082, 102, 32, 4545, 203, 465, 3082, 102, 32, 4554, 203, 1070, 3082, 102, 32, 21674, 32, 2255, 32, 19243, 1188, 2252, 1921, 1212, 30, 2252, 1921, 3406, 203, 1070, 3082, 102, 32, 13606, 32, 2946, 1188, 2866, 81, 1260, 203, 1070, 3082, 102, 32, 4073, 1188, 35226, 81, 22228, 619, 4082, 203, 2255, 81, 761, 81, 426, 280, 330, 2255, 32, 6813, 1226, 274, 25, 203, 10785, 81, 761, 81, 426, 280, 330, 10785, 32, 1260, 25, 203, 589, 1459, 81, 6993, 81, 5136, 26, 5136, 711, 284, 4467, 280, 301, 291, 4004, 620, 32, 1243, 44, 330, 3378, 370, 291, 4004, 620, 32, 1006, 44, 330, 4882, 370, 291, 4004, 620, 32, 13805, 44, 330, 19832, 370, 291, 4004, 620, 32, 9745, 44, 330, 25519, 1464, 370, 291, 4004, 620, 32, 17819, 44, 330, 19894, 370, 291, 4004, 620, 32, 3774, 44, 330, 14663, 370, 291, 4004, 620, 32, 11484, 44, 330, 7389, 2276, 370, 284, 320, 284, 3276, 280, 301, 93, 44, 225, 34, 436, 831, 328, 4467, 32, 3494, 9741, 284, 3276, 32, 1877, 26, 5136, 27, 284, 6314, 81, 928, 280, 3003, 4939, 2524, 26, 291, 3037, 2537, 16531, 1643, 26, 288, 30, 4467, 32, 371, 26, 102, 490, 436, 273, 30, 16112, 328, 3276, 32, 3028, 27944, 284, 4082, 32, 1338, 440, 3595, 16531, 1643, 26, 4597, 81, 928, 490, 203, 589, 617, 669, 81, 1001, 22323, 81, 38379, 26, 1001, 22323, 81, 288, 307, 30, 537, 81, 38379, 711, 284, 436, 343, 288, 328, 1406, 22323, 81, 288, 307, 44, 291, 415, 343, 288, 710, 314, 785, 610, 537, 81, 38379, 710, 314, 12132, 324, 343, 288, 710, 2602, 785, 280, 537, 81, 38379, 710, 2602, 785, 324, 442, 284, 1406, 22323, 81, 288, 307, 32, 1689, 26, 890, 81, 38379, 27, 203, 589, 617, 8233, 81, 1001, 22323, 81, 288, 307, 26, 1001, 22323, 81, 288, 307, 30, 537, 81, 1001, 22323, 81, 288, 307, 711, 284, 436, 537, 81, 38379, 328, 537, 81, 1001, 22323, 81, 288, 307, 44, 291, 617, 669, 81, 1001, 22323, 81, 38379, 26, 1001, 22323, 81, 288, 307, 30, 537, 81, 38379, 27, 203, 589, 32425, 81, 288, 307, 26, 1160, 30, 11607, 711, 284, 1542, 30, 4950, 11607, 280, 30384, 81, 22226, 81, 288, 307, 26, 1160, 30, 11607, 27, 284, 442, 308, 1160, 30, 11607, 27, 203, 589, 30384, 81, 22226, 81, 288, 307, 26, 1160, 30, 11607, 711, 284, 415, 1542, 32, 7615, 81, 288 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 5, 5, 8, 7, 8, 6, 6, 8, 8, 5, 5, 8, 7, 8, 6, 6, 8, 8, 5, 5, 8, 7, 8, 6, 6, 8, 8, 5, 5, 8, 7, 8, 6, 6, 8, 8, 8, 5, 5, 8, 7, 8, 6, 6, 8, 8, 5, 5, 8, 7, 8, 6, 6, 8, 8, 5, 5, 8, 7, 8, 6, 6, 8, 8, 8, 5, 5, 2, 2, 4, 4, 7, 6, 6, 7, 5, 6, 6, 6, 8, 9, 8, 2, 2, 5, 6, 5, 6, 5, 2, 2, 5, 5, 4, 4, 8, 7, 6, 6, 6, 11, 11, 10, 9, 10, 9, 9, 11, 12, 11, 12, 11, 7, 8, 9, 9, 8, 8, 10, 11, 10, 2, 2, 5, 6, 5, 9, 9, 8, 7, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 5, 8, 7, 9, 9, 6, 6, 8, 8, 7, 9, 9, 5, 5, 10, 9, 11, 11, 8, 8, 10, 10, 9, 11, 11, 6, 6, 2, 2, 6, 6, 6, 6, 5, 6, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 2, 2, 3, 5, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 5, 5, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 1, 2, 0, 6, 6, 0, 1, 2, 0, 7, 7, 0, 1, 2, 0, 8, 8, 0, 1, 2, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 10, 10, 0, 1, 2, 10, 10, 0, 0, 11, 11, 0, 1, 2, 0, 12, 12, 0, 1, 2, 1, 4, 0, 13, 13, 0, 1, 2, 1, 4, 0, 14, 14, 0, 1, 2, 0, 15, 15, 0, 1, 2, 0, 16, 16, 0, 1, 2, 0, 17, 17, 0, 1, 2, 1, 4, 1, 6, 17, 17, 0, 0, 17, 17, 0, 0, 0, 18, 18, 0, 1, 2, 1, 4, 18, 18, 0, 0, 0, 19, 19, 0, 1, 2, 19, 19, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 22, 22, 1, 1, 1, 1, 2, 1, 2, 22, 22, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 3, 3, 1, 2, 2, 2, 0, 0, 2, 5, 5, 1, 2, 2, 2, 0, 0, 2, 7, 7, 1, 1, 2, 2, 2, 0, 0, 2, 9, 9, 1, 2, 2, 2, 0, 0, 2, 11, 11, 1, 2, 2, 2, 0, 0, 2, 13, 13, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 23, 23, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 23, 23, 0, 1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 3, 3, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 24, 24, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 24, 24, 0, 1, 1, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 25, 25, 1, 1, 1, 2, 1, 2, 2, 2, 25, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 26, 26, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 26, 26, 0, 1, 2, 2, 2 ]
[ 1070, 15684, 32, 7954, 278, 1188, 319, 203, 465, 3995, 203, 823, 475, 565, 885, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 1114, 2810, 280, 1665, 284, 477, 2433, 17946, 665, 2078, 26, 784, 711, 291, 442, 630, 1114, 2810, 284, 665, 12320, 26, 784, 30, 310, 711, 291, 3097, 262, 203, 823, 17776, 37589, 3196, 26, 27090, 278, 711, 284, 665, 894, 81, 3374, 81, 1297, 81, 83, 81, 31060, 81, 470, 26, 784, 711, 291, 30110, 280, 475, 565, 885, 346, 291, 630, 32, 6549, 26, 31060, 27, 284, 665, 894, 81, 23077, 81, 1382, 81, 31060, 81, 3255, 81, 83, 81, 470, 81, 1028, 81, 4032, 7983, 81, 12524, 81, 35, 81, 363, 81, 40, 26, 784, 711, 291, 30110, 280, 475, 565, 885, 346, 291, 30110, 32, 1019, 26, 39, 27, 291, 630, 32, 6549, 26, 38003, 26, 31060, 32, 2810, 30, 1149, 471, 313, 3163, 526, 312, 1149, 657, 291, 630, 32, 5299, 26, 39, 30, 2069, 26, 31060, 32, 2810, 490, 291, 436, 786, 328, 30110, 32, 2810, 44, 324, 630, 32, 6549, 26, 853, 2377, 225, 35, 461, 786, 2511, 225, 40, 30, 313, 853, 313, 474, 596, 26, 853, 27, 474, 313, 2298, 526, 3733, 225, 35, 461, 225, 40, 657, 284, 665, 894, 81, 31060, 81, 2810, 81, 1409, 81, 1206, 81, 2342, 81, 23437, 81, 18617, 631, 81, 23162, 26, 784, 711, 291, 30110, 280, 475, 565, 885, 346, 291, 30110, 32, 1019, 26, 39, 27, 291, 1932, 81, 1003, 280, 30110, 32, 2810, 291, 3100, 81, 1003, 280, 30110, 32, 2810, 291, 630, 32, 5299, 26, 2232, 81, 1003, 30, 3100, 81, 1003, 27, 284, 665, 894, 81, 31060, 81, 2810, 81, 3163, 81, 2342, 81, 12524, 81, 1019, 101, 26, 784, 711, 291, 30110, 280, 475, 565, 885, 346, 291, 30110, 32, 1019, 26, 39, 27, 291, 1932, 81, 1003, 280, 30110, 32, 2810, 291, 30110, 32, 1019, 26, 39, 27, 291, 3100, 81, 1003, 280, 30110, 32, 2810, 291, 630, 32, 31196, 1324, 26, 2232, 81, 1003, 30, 3100, 81, 1003, 30, 766, 324, 313, 8617, 12320, 101, 1395, 646, 526, 5040, 657, 284, 665, 894, 81, 9619, 81, 3374, 81, 1019, 81, 23657, 81, 14951, 81, 1028, 81, 31060, 26, 784, 711, 291, 30110, 280, 475, 565, 885, 346, 291, 30110, 32, 1019, 26, 37, 27, 291, 630, 32, 5299, 26, 37, 30, 2069, 26, 31060, 32, 2810, 490, 291, 30110, 32, 1019, 26, 35, 27, 291, 630, 32, 5299, 26, 35, 30, 2069, 26, 31060, 32, 2810, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 0, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 11, 10, 11, 9, 9, 9, 7, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 8, 7, 7, 9, 11, 10, 11, 9, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 9, 10, 9, 12, 11, 11, 12, 10, 10, 11, 11, 12, 9, 9, 13, 13, 11, 11, 13, 14, 13, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 7, 6, 6, 7, 8, 4, 4, 7, 7, 6, 6, 7, 8, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 7, 6, 6, 7, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 7, 6, 6, 7, 8, 4, 4, 7, 8, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 9, 11, 10, 11, 9, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 9, 11, 10, 11, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 3, 3, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 3, 3, 1, 1, 2, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 4, 4, 4, 4, 4, 3, 2, 4, 4, 4, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 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 ]
[ 44536, 280, 2149, 203, 44536, 9514, 280, 225, 34, 203, 823, 11038, 44, 284, 665, 1156, 1664, 3207, 784, 30, 804, 30, 1914, 30, 1760, 30, 3111, 711, 291, 630, 32, 314, 280, 804, 291, 630, 32, 1855, 280, 1914, 291, 630, 32, 1977, 280, 1760, 291, 630, 32, 1684, 2130, 280, 3111, 291, 630, 32, 20811, 280, 1665, 291, 630, 32, 282, 5864, 280, 1665, 203, 589, 4916, 3421, 32114, 26, 6416, 779, 30, 6731, 30, 1760, 30, 3111, 711, 284, 3649, 13122, 9514, 284, 13122, 77, 6416, 779, 79, 280, 11038, 26, 6416, 779, 30, 6731, 30, 1760, 30, 3111, 27, 284, 13122, 9514, 1454, 225, 35, 203, 589, 4916, 10655, 26, 6416, 779, 30, 3111, 711, 284, 13122, 77, 6416, 779, 997, 20811, 280, 3111, 203, 589, 4916, 1061, 5893, 26, 6416, 779, 30, 3111, 711, 284, 3649, 13122, 9514, 284, 13122, 77, 6416, 779, 997, 282, 5864, 280, 3111, 284, 13122, 9514, 5912, 225, 35, 203, 589, 13396, 26, 979, 1006, 47, 2700, 711, 284, 1596, 44, 291, 1188, 6436, 30, 7744, 284, 2940, 29986, 44, 291, 1459, 313, 2023, 6436, 3304, 30, 27246, 14564, 20, 291, 442, 284, 4465, 9695, 280, 1605, 284, 5543, 9695, 280, 2149, 284, 436, 4916, 328, 13122, 32, 1731, 2810, 2262, 291, 4465, 9695, 32, 1689, 26, 6416, 32, 20811, 429, 4916, 32, 1684, 2130, 27, 291, 5543, 280, 308, 6416, 32, 1855, 30, 4916, 32, 1977, 27, 4456, 415, 646, 5543, 328, 5543, 9695, 44, 324, 5543, 9695, 77, 4351, 79, 280, 1605, 4456, 5543, 9695, 77, 4351, 997, 1689, 26, 6416, 32, 282, 5864, 429, 4916, 32, 20811, 27, 3701, 4465, 1261, 280, 6436, 32, 955, 26, 1684, 9695, 27, 284, 415, 436, 1006, 44, 291, 1459, 313, 21110, 1133, 308, 1449, 30, 5651, 30, 5684, 711, 392, 4465, 1261, 32, 1449, 346, 333, 225, 35, 34, 34, 34, 30, 4465, 1261, 32, 6009, 346, 333, 225, 35, 34, 34, 34, 30, 7744, 32, 8663, 26, 1684, 1261, 32, 869, 1157, 333, 225, 35, 34, 34, 284, 813, 44, 291, 1459, 313, 21110, 1133, 308, 1449, 30, 5651, 30, 5684, 711, 392, 4465, 1261, 32, 1449, 1026, 4465, 1261, 32, 6009, 1026, 7744, 32, 8663, 26, 1684, 1261, 32, 869, 1157, 284, 436, 5543, 30, 6496, 328, 8594, 26, 4351, 9695, 32, 40957, 22805, 291, 1133, 1261, 280, 6436, 32, 955, 26, 5571, 27, 291, 415, 436, 1006, 44, 324, 1459, 5543, 30, 1133, 1261, 32, 1449, 346, 333, 225, 35, 34, 34, 34, 30, 1133, 1261, 32, 6009, 346, 333, 225, 35, 34, 34, 34, 30, 7744, 32, 8663, 26, 1003, 1261, 32, 869, 1157, 333, 225, 35, 34, 34, 291, 813, 44, 351, 324, 1459, 5543, 30, 1133, 1261, 32, 1449, 1026, 1133, 1261, 32, 6009, 1026, 7744, 32, 8663, 26, 1003, 1261, 32, 869, 1157, 284, 2098, 36, 280, 225, 34, 32, 284, 436, 1628, 328, 2156, 440, 481, 25267, 32, 2593, 10280, 291, 415, 313, 43459, 20, 328, 1628, 44, 324, 3400, 280, 1628, 32, 1809, 463, 1197, 36, 81, 3596, 347, 683, 474, 225, 43 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 2, 2, 0, 3, 3, 2, 2, 3, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 4, 2, 2, 5, 6, 6, 5, 4, 4, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 0, 1, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 6, 7, 7, 6, 6, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 4, 2, 2, 6, 7, 7, 6, 6, 6, 4, 4, 2, 2, 5, 4, 4, 5, 0, 1, 1, 2, 4, 4, 3, 4, 2, 1, 1, 3, 3, 3, 5, 5, 5, 3, 3, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 3, 3, 3, 5, 6, 6, 5, 3, 3, 8, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 10, 7, 4, 4, 6, 6, 9, 8, 9, 7, 7, 8, 9, 7, 4, 4, 5, 6, 7, 7, 8, 5, 5, 5, 10, 9, 10, 9, 8, 8, 4, 4, 9, 8, 9, 8, 8, 7, 10, 9, 10, 10, 8, 8, 9, 10, 7, 2, 2, 5, 4, 4, 6, 7, 6, 7, 7, 6, 2, 2, 3, 4, 3, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 9, 8, 9, 8, 6, 6, 7, 7, 7, 7, 5, 5, 9, 8, 9, 8, 6, 6, 7, 7, 7, 7, 5, 5, 8, 9, 8, 11, 11, 10, 11, 10, 6, 6, 7, 7, 7, 3, 3, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 9, 8, 9, 8, 6, 9, 8, 9, 8, 6, 8, 9, 8, 11, 11, 10, 11, 10, 2, 2, 3, 4, 4, 3, 3, 5, 8, 8, 7, 8, 7, 3, 3, 7, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 6, 5, 5, 5, 7, 7, 7, 11, 10, 11, 10, 8, 8, 9, 9, 9, 9, 7, 7, 11, 10, 11, 10, 8, 8, 9, 9, 9, 9, 7, 7, 10, 11, 10, 13, 13, 12, 13, 12, 8, 8, 9, 9, 9, 5, 5, 6, 6, 6, 6, 8, 8, 8, 11, 10, 11, 10, 8, 11, 10, 11, 10, 8, 10, 11, 10, 13, 13, 12, 13, 12, 2, 2, 5, 4, 4, 5, 5, 2, 2, 3, 3, 3, 5, 7, 7, 7, 7, 7, 3, 3, 5, 8, 8, 6, 6, 5, 5, 5, 8, 8, 11, 12, 11, 13, 13, 13, 13, 13, 13, 9, 9, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 0, 3, 3, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 1, 4, 4, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 4, 4, 1, 2, 1, 1, 2, 2, 2, 4, 4, 0, 2, 2, 0, 2, 0, 0, 0, 5, 5, 1, 1, 2, 1, 1, 2, 2, 2, 5, 5, 0, 1, 4, 4, 0, 2, 2, 0, 2, 2, 0, 0, 4, 4, 0, 0, 0, 2, 0, 6, 6, 2, 0, 0, 1, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 3, 3, 3, 0, 2, 2, 1, 3, 3, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 5, 5, 0, 0, 0, 1, 2, 2, 2, 3, 2, 2, 5, 5, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 5, 5, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 5, 1, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 3, 3, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 5, 5, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 7, 7, 2, 2, 2, 5, 5, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 4, 4, 6, 1, 1, 6, 6, 1, 0, 0, 0, 2, 1, 6, 6, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 3, 3, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 5, 5, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 7, 7, 2, 2, 2, 1, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 4, 4, 8, 8, 8, 1, 1, 1, 1, 1, 2, 8, 8, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2 ]
[ 465, 2322, 203, 465, 316, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 9331, 32, 1439, 1188, 5718, 924, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 1199, 32, 3378, 1188, 622, 81, 3378, 203, 589, 5552, 81, 1297, 26, 725, 30, 1418, 30, 3387, 711, 284, 313, 6970, 312, 1149, 432, 322, 20258, 4925, 4428, 15252, 436, 322, 2702, 1123, 3107, 284, 415, 3387, 32, 3550, 81, 2665, 710, 28137, 785, 610, 330, 11025, 32, 1199, 32, 11514, 32, 11215, 950, 291, 3636, 5718, 924, 440, 36115, 4163, 1330, 3702, 1510, 8345, 372, 793, 436, 1370, 4428, 15252, 9841, 96, 20, 474, 324, 313, 26208, 844, 14562, 1330, 3191, 322, 14266, 5748, 436, 322, 3500, 5327, 96, 20, 474, 324, 313, 3579, 1370, 4070, 803, 461, 1539, 18131, 6177, 69, 710, 1536, 4902, 28137, 785, 372, 4660, 2124, 78, 96, 20, 474, 324, 5335, 11025, 32, 1199, 32, 11514, 32, 19577, 25, 556, 330, 11025, 32, 1199, 32, 11514, 32, 7534, 2473, 657, 284, 1123, 81, 3378, 280, 4549, 32, 371, 81, 3378, 26, 725, 30, 2305, 81, 2837, 81, 4524, 47, 1815, 27, 284, 1158, 81, 2024, 280, 1605, 284, 10343, 280, 3387, 32, 410, 32402, 32, 1274, 81, 4243, 346, 284, 8967, 81, 3378, 280, 739, 2009, 1160, 436, 1542, 328, 3387, 32, 410, 32402, 32, 18132, 81, 3378, 26, 11278, 27, 415, 1542, 646, 328, 1123, 81, 3378, 1130, 284, 11350, 81, 6365, 280, 2149, 284, 436, 1542, 328, 1123, 81, 3378, 44, 291, 1688, 30, 10647, 280, 3387, 32, 16777, 32, 2602, 81, 1297, 81, 1160, 26, 1160, 30, 1418, 30, 8967, 81, 3378, 27, 291, 1158, 81, 2024, 32, 8233, 26, 2024, 27, 291, 436, 2488, 452, 30, 29284, 328, 10647, 32, 3028, 2262, 324, 11350, 81, 6365, 32, 37329, 26, 612, 452, 30, 36670, 8233, 26, 8046, 27, 324, 415, 2488, 452, 328, 8967, 81, 3378, 44, 400, 1158, 81, 2024, 32, 8233, 26, 3841, 32, 16777, 32, 2602, 81, 979, 81, 9671, 81, 6365, 26, 612, 452, 30, 1418, 30, 11350, 81, 6365, 490, 291, 1158, 81, 2024, 32, 8233, 26, 3841, 32, 16777, 32, 2602, 81, 979, 81, 9671, 81, 6365, 26, 1160, 30, 1418, 30, 11350, 81, 6365, 490, 291, 8967, 81, 3378, 32, 669, 26, 1160, 27, 284, 646, 81, 18132, 81, 3378, 280, 739, 26, 9671, 81, 6365, 32, 3494, 1157, 284, 415, 646, 81, 18132, 81, 3378, 44, 291, 13930, 81, 2602, 280, 1605, 291, 436, 1542, 328, 646, 81, 18132, 81, 3378, 44, 324, 13930, 81, 2602, 32, 8233, 4901, 287, 330, 474, 5552, 436, 5552, 328, 400, 3387, 32, 16777, 32, 2602, 81, 979, 81, 9671, 81, 6365, 26, 1160, 30, 1418, 30, 11350, 81, 6365, 14829, 291, 415, 13930, 81, 2602, 44, 324, 1158, 81, 2024, 32, 1689, 12664, 886, 2412, 10647, 1395, 526, 3640, 1273, 3526, 544, 2979, 31, 29801, 10343, 28601, 324, 1158, 81, 2024, 32, 8233, 26, 17777, 81, 2602, 27, 284, 442, 1158, 81, 2024, 203, 589, 5552, 81, 2560, 26, 725, 30, 1418 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 6, 7, 7, 7, 5, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 7, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 12, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 12, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 11, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 7, 6, 6, 8, 8, 8, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 2, 2, 4, 4, 7, 8, 8, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 8, 7, 8, 8, 8, 11, 12, 12, 10, 11, 11, 11, 10, 11, 10, 7, 8, 9, 9, 9, 10, 10, 7, 2, 2, 5, 5, 4, 4, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 8, 9, 9, 8, 4, 4, 8, 8, 7, 8, 7, 8, 7, 4, 4, 5, 7, 6, 6, 5, 5, 7, 8, 7, 5, 5, 12, 12, 11, 12, 11, 12, 12, 11, 11, 10, 9, 10, 9, 6, 6, 7, 9, 8, 8, 9, 9, 7, 7, 7, 12, 12, 11, 12, 11, 15, 14, 15, 13, 14, 14, 14, 14, 14, 14, 14, 13, 14, 14, 13, 13, 13, 13, 14, 14, 13, 4, 4, 8, 8, 7, 8, 7, 11, 10, 11, 9, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 9, 9, 9, 10, 10, 9, 4, 4, 8, 8, 7, 8, 7, 8, 7, 2, 2, 5, 5, 5, 5, 4, 4, 6, 9, 9, 9, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 3, 3, 3, 7, 7, 6, 6, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 10, 10, 9, 10, 9, 13, 13, 11, 11, 10, 11, 11, 11, 11, 14, 15, 13, 14, 14, 14, 14, 14, 14, 14, 13, 14, 13, 13, 13, 13, 14, 14, 13, 4, 4, 5, 6, 6, 5, 5, 5, 10, 10, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 10, 10, 9, 10, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 1, 1, 2, 1, 2, 2, 2, 2, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 7, 7, 7, 3, 3, 7, 7, 7, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 5, 5, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 5, 5, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 4, 4, 9, 1, 1, 1, 1, 9, 9, 9, 0, 0, 0, 0, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 3, 3, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 10, 1, 1, 0, 7, 7, 1, 1, 2, 1, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 465, 2361, 203, 465, 316, 203, 1070, 28520, 32, 4275, 1188, 35603, 2798, 7961, 203, 1070, 28520, 32, 1647, 81, 2304, 1114, 878, 1188, 372, 81, 878, 30, 372, 81, 3651, 203, 1070, 28520, 32, 5558, 32, 16914, 1188, 21766, 1761, 203, 823, 21766, 2459, 26, 14537, 1761, 711, 284, 10719, 81, 9362, 81, 268, 280, 428, 291, 316, 32, 6993, 26, 839, 20, 13644, 100, 78, 96, 34414, 13644, 105, 29, 11466, 8169, 3491, 19323, 13644, 3212, 14541, 48813, 2009, 14747, 2177, 19650, 8506, 30, 37, 12560, 2805, 25894, 21, 27, 1018, 22, 2113, 291, 316, 32, 6993, 26, 839, 7646, 13644, 105, 19650, 50, 13644, 105, 11466, 8169, 6155, 18470, 428, 14747, 13138, 24832, 1018, 77, 14826, 39779, 79, 1018, 22, 2113, 291, 316, 32, 6993, 26, 839, 10841, 78, 100, 78, 96, 34414, 657, 284, 1481, 284, 10719, 81, 8228, 81, 268, 280, 428, 291, 316, 32, 6993, 26, 839, 15860, 1018, 924, 2113, 291, 316, 32, 6993, 26, 839, 15860, 1018, 8418, 9313, 2113, 291, 316, 32, 6993, 26, 839, 20, 5790, 1509, 392, 316, 32, 59, 471, 291, 316, 32, 6993, 26, 839, 20, 18470, 266, 5898, 110, 2733, 16879, 27, 2016, 392, 316, 32, 59, 471, 291, 316, 32, 6993, 26, 839, 20, 3841, 28877, 963, 392, 316, 32, 59, 471, 291, 316, 32, 6993, 26, 839, 20, 41727, 100, 78, 96, 6155, 646, 2431, 2113, 291, 316, 32, 6993, 26, 839, 14891, 12456, 785, 25, 474, 28580, 1048, 1340, 44, 1018, 78, 86, 29, 2113, 284, 1481, 284, 665, 544, 81, 1676, 81, 7883, 26, 784, 711, 291, 1596, 44, 324, 436, 4774, 328, 308, 84, 10255, 96, 370, 323, 1330, 2806, 851, 31, 1322, 225, 34, 78, 96, 7831, 400, 630, 1114, 2493, 81, 4538, 81, 2501, 26, 3515, 27, 291, 2940, 35603, 2798, 7961, 44, 324, 3636, 35603, 2798, 7961, 463, 23905, 372, 739, 10719, 3377, 683, 284, 665, 544, 81, 864, 3749, 26, 784, 30, 44566, 47, 2521, 711, 291, 415, 630, 1114, 371, 81, 13232, 922, 20643, 26, 84, 44916, 7831, 324, 442, 291, 4774, 280, 301, 103, 25, 2501, 950, 1044, 25, 4898, 6040, 291, 415, 44566, 44, 324, 4774, 77, 103, 25, 13232, 785, 280, 372, 81, 878, 26, 100, 20, 13644, 100, 78, 96, 34414, 2895, 44, 398, 392, 9474, 3878, 1057, 8841, 32062, 81, 271, 81, 5848, 683, 324, 4774, 77, 103, 25, 10004, 785, 280, 44566, 291, 1596, 44, 324, 630, 1114, 2493, 81, 4538, 81, 2501, 26, 452, 81, 3651, 26, 1260, 32, 16958, 26, 3515, 471, 9111, 3878, 1057, 8841, 32062, 81, 271, 81, 5848, 2847, 291, 2940, 35603, 2798, 7961, 44, 324, 3124, 280, 330, 23905, 372, 40768, 332, 40293, 372, 5352, 2926, 25, 324, 3636, 35603, 2798, 7961, 26, 2076, 27, 284, 665, 544, 81, 311, 864, 3749, 26, 784, 711, 291, 13012, 280, 630, 1114, 371, 81, 13232, 346, 291, 415, 13012, 438, 1665, 44, 324, 442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 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, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 7, 7, 10, 10, 11, 10, 8, 10, 10, 10, 10, 10, 10, 10, 11, 11, 10, 7, 7, 11, 12, 12, 12, 12, 12, 11, 12, 11, 5, 5, 6, 7, 7, 6, 6, 6, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 9, 10, 10, 10, 9, 8, 7, 9, 9, 9, 5, 5, 4, 4, 6, 6, 10, 10, 10, 10, 8, 10, 10, 10, 4, 4, 5, 5, 5, 5, 9, 11, 11, 11, 11, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 13, 13, 13, 13, 13, 13, 13, 6, 6, 9, 11, 11, 11, 11, 8, 8, 4, 4, 5, 5, 5, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 14, 13, 14, 13, 14, 13, 11, 11, 12, 14, 14, 14, 14, 14, 14, 14, 5, 5, 6, 7, 7, 6, 6, 6, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 8, 10, 10, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 5, 6, 6, 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, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 5, 5, 1, 2, 2, 2, 1, 4, 5, 5, 0, 0, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 7, 7, 1, 2, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 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, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 3, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 3, 3, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 4, 4, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 1, 2, 0, 0, 4, 4, 3, 3, 3, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 0, 0, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 623, 81, 9849, 203, 1070, 1619, 1356, 1188, 1619, 4018, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2244, 8688, 1240, 30, 2680, 203, 1070, 8527, 32, 525, 1188, 26303, 203, 1070, 8527, 81, 1073, 32, 31716, 32, 3378, 1188, 308, 25554, 10532, 30, 21400, 30, 3391, 42010, 3157, 30, 42010, 620, 30, 6673, 10619, 27, 203, 1070, 8527, 81, 1073, 32, 31716, 32, 4882, 32, 2304, 1188, 622, 81, 2848, 30, 7841, 30, 19205, 203, 1070, 8527, 81, 1073, 32, 31716, 32, 2304, 1188, 14360, 1240, 30, 3704, 1240, 203, 1070, 8527, 81, 1073, 32, 1073, 81, 12445, 1188, 308, 371, 81, 464, 81, 12445, 30, 2476, 622, 81, 464, 81, 12445, 81, 4243, 30, 2476, 5657, 81, 2613, 101, 30, 2476, 17492, 1865, 924, 27, 203, 1070, 8527, 81, 1073, 32, 1073, 81, 12445, 32, 1439, 1188, 3772, 17337, 203, 465, 345, 1271, 203, 823, 2108, 17337, 26, 7233, 711, 284, 665, 894, 81, 371, 81, 464, 81, 12445, 81, 4243, 26, 784, 711, 291, 623, 7841, 26, 3550, 30, 330, 15658, 81, 39861, 24010, 14436, 370, 15670, 711, 324, 5657, 81, 2613, 101, 346, 324, 630, 32, 5299, 26, 371, 81, 464, 81, 12445, 81, 4243, 1026, 22975, 291, 623, 7841, 26, 3550, 30, 330, 15658, 81, 39861, 24010, 14436, 370, 1605, 711, 324, 5657, 81, 2613, 101, 346, 324, 630, 32, 5299, 26, 371, 81, 464, 81, 12445, 81, 4243, 1026, 11544, 291, 1695, 81, 426, 280, 6611, 101, 15231, 101, 25, 904, 308, 1761, 17337, 3667, 1647, 7642, 3772, 17337, 3667, 426, 8223, 291, 623, 7841, 26, 3550, 30, 330, 15658, 81, 39861, 24010, 14436, 370, 428, 1439, 81, 426, 10794, 324, 5657, 81, 2613, 101, 346, 324, 630, 32, 5299, 26, 371, 81, 464, 81, 12445, 81, 4243, 1026, 428, 1439, 81, 426, 1130, 284, 665, 894, 81, 371, 81, 464, 81, 12445, 26, 784, 711, 291, 623, 7841, 26, 3550, 30, 330, 15658, 81, 39861, 24010, 14436, 370, 15670, 711, 324, 5657, 81, 2613, 101, 346, 324, 630, 32, 5299, 26, 371, 81, 464, 81, 12445, 1026, 11544, 291, 623, 7841, 26, 3550, 30, 330, 15658, 81, 39861, 24010, 14436, 370, 1605, 711, 324, 5657, 81, 2613, 101, 346, 324, 630, 32, 5299, 26, 371, 81, 464, 81, 12445, 1026, 11544, 291, 1695, 81, 426, 280, 6611, 101, 15231, 101, 25, 904, 308, 1761, 17337, 3667, 1647, 7642, 3772, 17337, 3667, 426, 8223, 291, 623, 7841, 26, 3550, 30, 330, 15658, 81, 39861, 24010, 14436, 370, 428, 1439, 81, 426, 10794, 324, 5657, 81, 2613, 101, 346, 324, 630, 32, 5299, 2009, 83, 3667, 823, 29215, 426, 505, 436, 312, 328, 622, 81, 464, 81, 12445, 28576, 6035, 428, 1761, 17337, 3667, 426, 505, 1130, 203, 1270, 44, 284, 1188, 8527, 81, 93, 2660, 7982, 203, 7343, 29986, 44, 284, 415, 330, 11025, 81, 1073, 32, 1073, 81, 12445, 32, 93, 2660, 7982, 32, 61, 2660, 9504, 25, 328, 766, 1568, 622, 81, 464, 81, 12445, 81, 4243, 2262, 291, 27374 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 0, 1, 1, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 5, 5, 9, 9, 9, 9, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 4, 4, 5, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 5, 5, 9, 9, 9, 9, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 7, 7, 10, 10, 9, 10, 10, 8, 10, 9, 10, 10, 4, 4, 5, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 10, 5, 5, 9, 9, 9, 9, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 5, 5, 9, 9, 9, 9, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 11, 9, 4, 4, 5, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 5, 5, 9, 9, 9, 9, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 11, 9, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 7, 7, 10, 10, 9, 10, 10, 8, 10, 9, 10, 10, 4, 4, 5, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 10, 5, 5, 9, 9, 9, 9, 6, 6, 9, 10, 9, 13, 12, 13, 13, 12, 12, 10, 11, 11, 11, 13, 13, 13, 13, 13, 9, 9, 12, 12, 11, 12, 12, 10, 0, 1, 1, 1, 1, 3, 5, 5, 5, 5, 1, 2, 2, 2, 2, 2, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 0, 0, 1, 2, 1, 4, 5, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0, 6, 6, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 7, 7, 0, 0, 1, 2, 1, 4, 7, 7, 0, 7, 7, 0, 0, 8, 8, 0, 0, 1, 2, 2, 2, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 9, 9, 0, 0, 1, 2, 2, 2, 1, 4, 9, 9, 0, 0, 10, 10, 0, 0, 11, 11, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 3, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 5, 3, 3, 0, 0, 0, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 3, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 5, 3, 3, 0, 0, 0, 1, 3, 3, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 3, 0, 12, 12, 12, 12, 0, 0, 0, 0, 0, 12, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
[ 1070, 2322, 1188, 1149, 1515, 30, 1519, 203, 1070, 456, 2593, 1188, 2971, 972, 30, 1300, 1147, 203, 1070, 19571, 1188, 2454, 203, 1070, 5237, 1188, 6184, 203, 1070, 44524, 1188, 44524, 203, 1070, 13625, 1188, 33953, 203, 465, 1133, 203, 1070, 22752, 32, 7927, 81, 20583, 958, 1188, 9807, 81, 20583, 203, 1070, 22752, 32, 7927, 81, 4890, 261, 1188, 9807, 81, 4890, 203, 1070, 22752, 32, 7927, 81, 95, 643, 351, 1188, 9807, 81, 95, 643, 203, 1070, 22752, 32, 7927, 81, 11925, 81, 40326, 1188, 9807, 81, 11925, 81, 40326, 203, 1070, 22752, 32, 7927, 81, 48098, 264, 1188, 9807, 81, 48098, 203, 1070, 22752, 32, 7927, 81, 2142, 263, 1188, 9807, 81, 2142, 203, 1070, 22752, 32, 2304, 1468, 1188, 6116, 81, 2424, 30, 12253, 299, 81, 8891, 30, 8745, 203, 1070, 22752, 32, 9059, 2255, 81, 292, 305, 264, 1188, 9143, 2255, 81, 292, 305, 203, 505, 24872, 280, 4145, 19, 10499, 7744, 31558, 313, 5379, 33, 17193, 31, 3812, 35, 35, 31, 88, 32, 24872, 13469, 203, 505, 32896, 280, 330, 12048, 347, 525, 555, 1499, 32, 105, 37, 32, 1088, 33, 35, 43, 43, 42, 33, 5717, 33, 5717, 1679, 14891, 203, 505, 12610, 81, 1306, 280, 330, 5379, 33, 3812, 81, 19111, 81, 9941, 32, 5937, 25, 203, 505, 2593, 81, 3922, 280, 2971, 972, 32, 5732, 2825, 26, 2546, 81, 5006, 81, 878, 280, 2933, 30, 2454, 81, 24872, 280, 2933, 30, 5889, 81, 9244, 280, 2933, 27, 203, 589, 1156, 371, 81, 6008, 81, 3812, 696, 26, 1601, 81, 800, 711, 284, 9811, 81, 3242, 280, 2971, 972, 32, 2208, 26, 652, 2338, 4064, 24872, 474, 9811, 81, 800, 471, 1156, 2593, 81, 3922, 547, 371, 2388, 346, 284, 1300, 1147, 32, 286, 31296, 26, 1601, 81, 3242, 30, 13144, 81, 21043, 47, 1815, 27, 284, 442, 9811, 81, 3242, 203, 589, 1156, 8281, 81, 3812, 81, 928, 81, 20583, 26, 928, 711, 284, 12389, 280, 1628, 32, 7201, 922, 2998, 9442, 102, 683, 284, 7678, 327, 696, 81, 314, 225, 280, 12389, 77, 34, 79, 284, 3896, 81, 314, 262, 280, 12389, 77, 35, 79, 284, 27880, 1729, 81, 314, 262, 280, 12389, 77, 36, 79, 284, 485, 7830, 351, 280, 5307, 2473, 2524, 2009, 9719, 81, 314, 30, 27880, 1729, 81, 314, 30, 7678, 327, 696, 81, 314, 1130, 284, 9811, 81, 800, 280, 3228, 102, 2473, 2524, 26, 14632, 77, 37, 44, 8492, 3227, 4064, 32896, 30, 7746, 284, 9811, 280, 1156, 371, 81, 6008, 81, 3812, 696, 26, 1601, 81, 800, 27, 284, 442, 485, 7830, 30, 9811, 203, 589, 1156, 8281, 81, 3812, 81, 928, 81, 12402, 26, 928, 711, 284, 12389, 280, 1628, 32, 7201, 922, 2998, 9442, 102, 683, 284, 485, 7830, 225, 280, 12389, 77, 34, 79, 284, 9811, 81, 800, 280, 3228, 102, 2473, 2524, 26, 14632, 77, 35, 44, 8492, 3227, 4064, 32896, 30, 7746, 284, 9811, 280, 1156, 371, 81, 6008, 81, 3812, 696, 26, 1601, 81, 800, 27, 284, 442, 485, 7830, 30, 9811, 203, 589, 1156, 1821, 81, 11672 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 0, 3, 3, 2, 2, 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, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 5, 4, 5, 5, 4, 6, 6, 6, 6, 6, 5, 5, 4, 4, 6, 6, 5, 5, 4, 4, 6, 6, 5, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 9, 8, 9, 8, 10, 10, 10, 12, 11, 11, 12, 12, 10, 8, 9, 9, 9, 8, 7, 7, 6, 2, 2, 6, 5, 6, 6, 5, 6, 6, 6, 5, 5, 7, 7, 6, 7, 5, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 8, 9, 8, 7, 6, 9, 8, 2, 2, 5, 5, 5, 5, 4, 4, 4, 5, 6, 5, 2, 2, 5, 5, 4, 4, 4, 5, 6, 5, 2, 2, 5, 5, 5, 4, 4, 4, 5, 6, 5, 2, 2, 5, 4, 4, 4, 8, 7, 6, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 2, 2, 5, 5, 4, 4, 11, 10, 9, 8, 10, 9, 11, 10, 9, 7, 6, 7, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 2, 2, 3, 5, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 8, 9, 8, 7, 6, 9, 8, 2, 2, 5, 4, 4, 4, 5, 6, 5, 2, 2, 5, 5, 4, 4, 11, 10, 9, 8, 10, 9, 11, 10, 9, 7, 6, 7, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 2, 2, 3, 5, 4, 4, 0, 1, 1, 2, 2, 2 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 0, 7, 7, 1, 2, 2, 2, 7, 7, 7, 0, 0, 0, 8, 8, 1, 2, 2, 2, 8, 8, 8, 0, 0, 0, 9, 9, 1, 2, 2, 2, 2, 9, 9, 9, 0, 0, 0, 0, 10, 10, 1, 2, 2, 2, 2, 2, 10, 10, 0, 0, 0, 0, 0, 11, 11, 1, 2, 2, 2, 11, 11, 11, 0, 0, 0, 12, 12, 1, 2, 2, 2, 12, 12, 12, 0, 0, 0, 13, 13, 1, 2, 13, 13, 13, 0, 0, 13, 13, 0, 0, 0, 13, 13, 0, 14, 14, 1, 2, 2, 2, 2, 2, 14, 14, 14, 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, 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, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 3, 1, 1, 0, 0, 5, 5, 1, 0, 19, 19, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 19, 19, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 3, 3, 3, 1, 2, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 4, 4, 2, 1, 1, 0, 20, 20, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 20, 20, 0, 0, 0, 2, 1, 2, 1, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 5, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 7, 0, 1, 1, 0, 21, 21, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 21, 21, 0, 0, 0, 2, 1, 2, 1, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 4, 0, 1, 1, 0, 22, 22, 1, 1, 1 ]
[ 1070, 36387, 32, 3893, 1188, 3398, 46794, 203, 823, 12020, 606, 5965, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12020, 12608, 5827, 28741, 26, 3265, 46794, 711, 284, 3097, 203, 823, 11540, 21117, 26, 3265, 46794, 711, 284, 3097, 203, 823, 44539, 5827, 28741, 26, 3265, 46794, 711, 284, 3097, 203, 823, 11616, 11833, 5827, 28741, 26, 3265, 46794, 711, 284, 3097, 203, 823, 44539, 40472, 5965, 26, 3265, 46794, 711, 284, 3097, 203, 823, 44539, 885, 24742, 26, 3265, 46794, 711, 284, 3097, 203, 823, 44539, 606, 5965, 26, 3265, 46794, 711, 284, 3097, 203, 823, 44539, 44523, 5827, 28741, 26, 3265, 46794, 711, 284, 3097, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 1, 2, 3, 3, 0, 4, 4, 1, 1, 2, 1, 1, 2, 4, 4, 0, 5, 5, 1, 1, 1, 2, 1, 1, 2, 5, 5, 0, 6, 6, 1, 1, 2, 1, 1, 2, 6, 6, 0, 7, 7, 1, 1, 2, 1, 1, 2, 7, 7, 0, 8, 8, 1, 1, 2, 1, 1, 2, 8, 8, 0, 9, 9, 1, 1, 1, 2, 1, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 30, 22045, 32, 2208, 30, 22045, 32, 1357, 203, 465, 3363, 203, 1070, 638, 1188, 4899, 203, 1070, 638, 1188, 5592, 6308, 203, 589, 1156, 2665, 81, 3227, 26, 101, 30, 343, 711, 284, 436, 1202, 30, 786, 328, 343, 32, 3028, 2262, 291, 309, 280, 309, 32, 3227, 26, 678, 30, 786, 27, 284, 442, 309, 203, 589, 15820, 26, 605, 30, 11740, 19704, 711, 284, 706, 280, 706, 32, 3227, 24927, 392, 14248, 757, 45, 657, 284, 706, 280, 706, 32, 3227, 30554, 392, 14248, 1837, 45, 657, 284, 706, 280, 706, 32, 3227, 10374, 392, 14248, 2159, 45, 657, 284, 415, 11740, 44, 291, 706, 280, 1156, 2665, 81, 3227, 26, 605, 30, 11740, 27, 284, 442, 706, 203, 589, 707, 11731, 26, 605, 30, 11740, 19704, 711, 284, 706, 280, 706, 32, 3227, 24927, 2159, 13959, 3778, 657, 284, 706, 280, 706, 32, 3227, 24927, 1837, 13959, 9120, 657, 284, 415, 11740, 44, 291, 706, 280, 1156, 2665, 81, 3227, 26, 605, 30, 11740, 27, 284, 442, 706, 32, 3227, 24927, 757, 13959, 14248, 657, 203, 589, 15358, 2437, 26, 605, 30, 11740, 19704, 711, 284, 11740, 280, 11740, 32, 2991, 346, 284, 11740, 32, 1877, 1371, 10255, 96, 950, 330, 5233, 35, 34, 22606, 3228, 100, 950, 330, 5233, 35, 37, 22606, 3228, 102, 11501, 5233, 43, 45, 18143, 284, 706, 280, 15820, 26, 605, 30, 11740, 27, 284, 415, 37316, 328, 706, 44, 291, 415, 37638, 328, 706, 44, 324, 706, 280, 6113, 23, 101, 14891, 904, 706, 32, 3227, 463, 21684, 14248, 2462, 45, 657, 291, 813, 44, 324, 706, 280, 5335, 23, 101, 7362, 904, 706, 284, 813, 44, 291, 706, 280, 6113, 23, 101, 14891, 904, 706, 284, 442, 706, 203, 589, 617, 33170, 7572, 26, 541, 30, 7328, 711, 284, 415, 963, 438, 1665, 44, 291, 1188, 5237, 291, 442, 5237, 32, 9362, 284, 415, 6937, 26, 541, 30, 3363, 32, 1031, 2338, 1761, 711, 291, 442, 963, 284, 415, 6937, 26, 541, 30, 3363, 32, 6189, 2338, 1761, 711, 291, 443, 617, 5098, 44, 324, 1156, 823, 505, 280, 963, 3667, 823, 505, 324, 665, 1156, 32110, 3207, 784, 30, 636, 711, 400, 442, 18623, 26, 541, 30, 636, 27, 291, 3112, 280, 617, 5098, 346, 291, 3112, 32, 2679, 280, 9254, 44, 1665, 284, 813, 44, 291, 3112, 280, 3363, 32, 17652, 2338, 1761, 346, 291, 3112, 32, 22715, 280, 9254, 44, 2933, 291, 3112, 32, 1821, 280, 963, 32, 1821, 291, 1596, 44, 324, 3112, 32, 14408, 444, 280, 963, 32, 14408, 444, 324, 3112, 32, 27787, 280, 963, 32, 27787, 291, 2940, 29316, 44, 324, 3097, 284, 442, 3363, 32, 1031, 2338, 4672, 26, 2668, 30, 7328, 47, 8644, 30, 1014, 3878, 1057, 2593, 1594, 612, 3227, 370, 1014, 25521, 34155, 96, 370, 1014, 2866, 81, 10997, 47, 1815, 27, 203, 823, 7402, 4815, 26, 4531, 32, 1777, 1972, 711, 284, 665, 1156, 1664, 3207, 784, 30, 963, 47, 2521, 30, 7328, 347, 9328, 31, 42, 42, 39, 43, 31, 35, 392, 4504, 81, 2951, 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, 2, 3, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 3, 3, 5, 6, 5, 3, 3, 6, 6, 8, 9, 8, 9, 8, 8, 8, 2, 2, 3, 0, 1, 1, 2, 3, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 8, 6, 8, 8, 8, 2, 2, 4, 4, 6, 7, 6, 8, 6, 8, 8, 8, 2, 2, 4, 4, 6, 7, 6, 8, 6, 8, 8, 8, 2, 2, 3, 3, 3, 3, 6, 6, 8, 8, 8, 8, 9, 8, 8, 8, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 6, 8, 2, 2, 4, 4, 6, 7, 6, 8, 8, 6, 8, 2, 2, 3, 3, 3, 3, 6, 6, 8, 8, 8, 8, 9, 8, 8, 8, 2, 2, 3, 5, 6, 5, 7, 7, 5, 7, 0, 1, 1, 2, 2, 3, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 5, 6, 5, 9, 10, 9, 7, 9, 9, 9, 9, 6, 10, 9, 7, 9, 9, 9, 9, 6, 10, 9, 9, 9, 9, 9, 2, 2, 4, 4, 6, 7, 6, 6, 6, 2, 2, 3, 4, 4, 3, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 11, 11, 11, 9, 9, 11, 12, 11, 13, 11, 13, 13, 13, 5, 5, 6, 6, 6, 9, 9, 12, 12, 12, 10, 10, 3, 3, 4, 4, 4, 7, 7, 10, 10, 10, 8, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 4, 4, 5, 6, 7, 2, 2, 3, 5, 6, 5, 5, 6, 7, 7, 7, 5, 3, 3, 5, 2, 2, 3, 5, 6, 5, 5, 6, 7, 7, 7, 5, 3, 3, 5, 6, 5, 5, 5, 9, 9, 8, 8, 9, 10, 10, 6, 6, 7, 8, 8, 9, 8, 8, 8, 7, 7, 9, 11, 12, 11, 11, 11, 4, 4, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 7, 7, 3, 3, 4, 4, 4, 7, 7, 9, 10, 10, 10, 9, 5, 5, 8, 9, 7, 7, 8, 8, 5, 5, 8, 9, 7, 7, 8, 9, 5, 5, 6, 6, 6, 10, 11, 11, 9, 9, 10, 11, 11, 7, 7, 10, 11, 9, 9, 10, 11, 6, 6, 7, 7, 7, 7, 2, 2, 3, 5, 6, 6, 6, 5, 6, 5, 5, 6, 7, 5, 5, 5, 6, 8, 8, 8, 8, 8, 5, 5, 6, 9, 8, 5, 5, 7, 7, 6, 7, 5, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 6, 6, 6 ]
[ 0, 0, 0, 0, 3, 2, 0, 0, 5, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 5, 5, 2, 1, 2, 2, 3, 2, 5, 5, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 4, 4, 3, 3, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 4, 0, 6, 6, 1, 2, 1, 2, 2, 3, 2, 6, 6, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 3, 0, 2, 1, 1, 1, 1, 2, 0, 7, 7, 1, 2, 1, 2, 2, 3, 2, 7, 7, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 3, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 3, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 0, 0, 1, 1, 1, 2, 2, 4, 4, 4, 0, 8, 8, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 1, 1, 0, 0, 0, 0, 3, 3, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 4, 4, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 1, 3, 3, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 3, 3, 3, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 3, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 2, 1, 1, 7, 0, 2, 1, 1, 0, 0, 9, 2, 1, 0, 9, 9, 1, 2, 0, 1, 2, 2, 2, 9, 9, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0 ]
[ 465, 2361, 203, 465, 22045, 203, 465, 22045, 36, 203, 465, 1913, 1356, 203, 465, 7138, 203, 465, 6234, 203, 465, 7138, 203, 1070, 281, 10640, 407, 32, 11754, 21549, 32, 11754, 21549, 483, 32, 1439, 1188, 25090, 104, 16979, 1761, 203, 1070, 281, 10640, 407, 32, 11754, 21549, 32, 1160, 1188, 25090, 21549, 959, 203, 1070, 281, 10640, 32, 4557, 1188, 40075, 30, 22931, 30, 622, 81, 1141, 203, 1070, 281, 10640, 1188, 1542, 203, 465, 281, 10640, 32, 1356, 32, 3448, 300, 619, 345, 17036, 203, 1070, 281, 10640, 32, 5558, 1188, 40272, 203, 751, 280, 1156, 465, 25300, 7490, 1814, 10579, 4064, 426, 8223, 203, 14038, 2319, 81, 9302, 69, 280, 301, 284, 330, 878, 33, 916, 950, 330, 4424, 370, 284, 330, 878, 33, 4700, 950, 330, 17799, 370, 284, 330, 878, 33, 2593, 950, 330, 5732, 370, 284, 330, 3164, 33, 4682, 950, 330, 14960, 370, 284, 330, 3164, 33, 3969, 950, 330, 29612, 370, 284, 330, 3164, 33, 18685, 29, 2593, 950, 330, 32688, 370, 284, 330, 3164, 33, 1260, 950, 330, 3265, 370, 284, 330, 3164, 33, 12336, 32, 874, 31, 15138, 950, 330, 74, 4900, 370, 284, 330, 3164, 33, 12336, 32, 2175, 31, 29379, 32, 93, 696, 29, 2593, 950, 330, 61, 1679, 370, 284, 330, 3164, 33, 874, 1112, 950, 330, 14867, 370, 203, 111, 203, 823, 475, 12695, 20914, 104, 16979, 26, 20914, 104, 16979, 1761, 711, 284, 281, 10640, 81, 13411, 81, 1237, 81, 14110, 280, 3177, 284, 1359, 280, 1665, 284, 4125, 81, 1648, 280, 225, 36, 284, 2125, 81, 1237, 81, 1648, 280, 225, 37, 284, 665, 3099, 26, 784, 711, 291, 442, 301, 324, 330, 426, 950, 330, 4520, 278, 370, 324, 330, 1311, 950, 330, 5602, 927, 677, 783, 2478, 18340, 370, 324, 330, 2310, 950, 330, 20914, 104, 17206, 6562, 475, 12695, 6942, 370, 324, 330, 599, 81, 1163, 81, 3337, 950, 330, 1031, 25, 291, 320, 284, 665, 617, 371, 81, 1141, 81, 1237, 81, 2881, 26, 784, 711, 291, 442, 3056, 1237, 9708, 86, 33, 1141, 25, 904, 630, 32, 1141, 81, 1237, 81, 1648, 284, 665, 617, 371, 81, 1903, 81, 1237, 81, 2881, 26, 784, 711, 291, 442, 6611, 101, 33, 1700, 81, 1320, 81, 668, 81, 1793, 81, 5379, 25, 904, 630, 1114, 371, 81, 1141, 81, 1237, 81, 2881, 346, 284, 665, 617, 371, 81, 1286, 26, 784, 30, 1984, 711, 291, 1913, 81, 1357, 280, 22045, 36, 32, 1104, 26, 965, 47, 965, 27, 291, 4125, 81, 678, 280, 630, 32, 1163, 32, 371, 463, 1237, 81, 678, 683, 291, 415, 4125, 81, 678, 44, 324, 1913, 81, 1357, 32, 669, 81, 2111, 463, 8466, 370, 4125, 81, 678, 27, 291, 1596, 44, 324, 1913, 81, 1986, 280, 22045, 36, 32, 305, 33786, 26, 525, 81, 1357, 30, 5868, 47, 43, 34, 27, 291, 2940, 22045, 36, 32, 39145, 30, 484, 44, 324, 415, 484, 32, 371, 687, 346, 610, 225, 38, 34, 38, 44, 400, 3636, 6256, 27981, 463, 5068, 1048, 44, 904, 101, 25, 904, 484 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 4, 3, 4, 3, 4, 4, 2, 2, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 2, 2, 6, 6, 8, 8, 5, 4, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 4, 4, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 5, 5, 4, 4, 5, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 6, 9, 9, 7, 9, 9, 9, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 9, 9, 7, 9, 9, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 9, 8, 9, 8, 10, 9, 10, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 6, 6, 5, 5, 5, 10, 10, 9, 10, 10, 10, 9, 11, 11, 9, 10, 10, 9, 4, 4, 5, 5, 5, 9, 9, 8, 8, 11, 10, 11, 11, 10, 11, 11, 11, 10, 10, 11, 12, 12, 10, 5, 5, 6, 8, 7, 8, 6, 6, 6, 6, 6, 8, 11, 12, 12, 11, 9, 9, 10, 10, 10, 8, 8, 8, 10, 12, 12, 15, 15, 15, 15, 15, 15, 13, 13 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 0, 1, 2, 2, 1, 4, 4, 4, 1, 6, 7, 7, 0, 0, 0, 0, 8, 8, 0, 0, 1, 2, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 0, 1, 2, 9, 9, 9, 9, 9, 9, 0, 0, 0, 10, 10, 0, 10, 10, 0, 11, 11, 0, 0, 2, 0, 4, 4, 1, 1, 2, 0, 12, 12, 0, 1, 2, 12, 12, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 1, 2, 7, 1, 2, 2, 2, 1, 1, 1, 2, 9, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 11, 1, 2, 2, 2, 1, 1, 1, 2, 13, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 15, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 17, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 19, 1, 2, 2, 2, 0, 15, 15, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 4, 4, 4, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 2, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 7, 1, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 3, 1, 4, 4, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 3, 3, 3, 0, 1, 2, 3, 3, 3, 3, 3, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1 ]
[ 465, 2322, 203, 465, 5237, 203, 465, 29310, 203, 1070, 390, 2375, 32, 11054, 1188, 23092, 2375, 203, 1070, 390, 2375, 32, 11054, 1188, 5034, 2958, 203, 465, 894, 81, 19363, 2375, 81, 266, 81, 22665, 203, 1070, 894, 81, 19363, 2375, 81, 266, 81, 22665, 1188, 617, 2811, 30, 21506, 3166, 81, 2958, 81, 1648, 203, 823, 2108, 33278, 101, 26, 858, 81, 19363, 2375, 81, 266, 81, 22665, 32, 3529, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 1006, 33278, 101, 30, 630, 547, 23741, 346, 291, 630, 32, 2969, 81, 363, 81, 1945, 463, 84, 280, 281, 280, 343, 280, 225, 34, 683, 284, 665, 622, 81, 978, 1473, 26, 784, 30, 1340, 711, 291, 786, 280, 29310, 32, 2208, 81, 363, 81, 6569, 26, 687, 27, 291, 1201, 5034, 2958, 32, 6805, 853, 26, 853, 27, 863, 225, 34, 291, 442, 786, 284, 665, 3619, 1473, 81, 1070, 687, 26, 784, 30, 1340, 30, 29310, 869, 47, 2521, 711, 291, 415, 29310, 869, 438, 646, 1665, 44, 324, 343, 280, 5053, 39580, 950, 22665, 869, 30, 330, 687, 950, 687, 111, 324, 29310, 32, 4526, 463, 470, 398, 42668, 39580, 27, 101, 280, 18147, 687, 27, 101, 25, 904, 343, 27, 324, 1340, 280, 8493, 25, 474, 29310, 869, 291, 442, 5034, 2958, 32, 19053, 2651, 32, 1070, 81, 978, 1473, 81, 1753, 26, 784, 32, 371, 81, 978, 1473, 26, 687, 490, 284, 665, 622, 81, 13707, 26, 784, 30, 3619, 1473, 711, 291, 442, 3619, 1473, 32, 371, 81, 359, 13209, 81, 13707, 26, 1356, 2958, 32, 3459, 81, 10843, 81, 6169, 27, 284, 665, 6157, 81, 1170, 858, 2582, 26, 784, 30, 802, 30, 29310, 869, 47, 2521, 711, 291, 415, 21506, 3166, 81, 2958, 81, 1648, 333, 308, 37, 30, 225, 34, 711, 324, 3420, 426, 280, 330, 4997, 652, 81, 17725, 2185, 1250, 25, 291, 813, 44, 324, 3420, 426, 280, 330, 4997, 3644, 81, 17725, 2185, 1250, 25, 291, 1201, 37316, 646, 328, 802, 291, 1340, 280, 15584, 19053, 2941, 904, 101, 4912, 101, 392, 904, 86, 9905, 904, 308, 1298, 426, 30, 802, 30, 2069, 26, 800, 490, 291, 442, 630, 32, 978, 1473, 81, 1070, 687, 26, 687, 30, 29310, 869, 47, 22665, 869, 27, 284, 665, 6157, 81, 9941, 800, 26, 784, 30, 802, 30, 29310, 869, 47, 2521, 711, 291, 630, 32, 3558, 81, 1170, 858, 2582, 26, 800, 32, 4434, 463, 6261, 31, 42, 1425, 29310, 869, 40547, 1433, 683, 291, 45037, 280, 5034, 2958, 32, 371, 81, 22987, 3166, 81, 9941, 81, 43929, 346, 291, 3420, 426, 280, 330, 48524, 23, 101, 81, 1792, 18060, 959, 25, 904, 308, 43929, 21713, 291, 442, 630, 32, 978, 1473, 81, 1070, 687, 26, 324, 15584, 19053, 2941, 904, 101, 8093, 1433, 30, 313, 6261, 31, 42, 392, 313, 5848, 657, 25, 904, 3420, 426, 30, 324, 29310, 869, 47, 22665, 869, 27, 284, 665, 894, 81, 1170, 858, 2582, 26, 784, 711, 291, 810, 858, 2582, 280, 630, 32, 3558, 81, 1170, 858, 2582, 440 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 5, 9, 8, 9, 9, 8, 9, 8, 6, 6, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 5, 7, 6, 6, 6, 5, 5, 5, 8, 8, 12, 12, 11, 11, 9, 9, 12, 12, 11, 9, 6, 6, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 9, 6, 6, 8, 8, 11, 9, 9, 10, 4, 4, 5, 9, 8, 9, 9, 7, 8, 8, 8, 8, 8, 8, 7, 10, 9, 10, 10, 10, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 8, 7, 8, 8, 8, 8, 8, 8, 7, 9, 9, 8, 9, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 5, 7, 7, 7, 7, 7, 6, 6, 8, 7, 7, 8, 7, 5, 5, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 5, 5, 6, 6, 6, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 6, 6, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 8, 8, 8, 8, 10, 11, 10, 4, 4, 5, 7, 8, 8, 8, 8, 8, 7, 8, 7, 7, 9, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 10, 9, 10, 9, 11, 11, 11, 11, 7, 9, 8, 10, 10, 4, 4, 6, 6, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 8, 4, 4, 5, 7, 8, 8, 8, 8, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 7, 7, 7, 9, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 7, 7, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 7, 7, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 2, 4, 4, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 2, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 5, 5, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 3, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 4, 4, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 3, 2, 2, 1, 4, 4, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1 ]
[ 1070, 8527, 32, 36287, 1188, 2908, 30, 2908, 81, 452, 81, 1986, 203, 1070, 8527, 32, 525, 1188, 17874, 30, 17874, 11445, 203, 1070, 8527, 32, 4338, 1188, 10140, 203, 1070, 8527, 32, 1262, 32, 1819, 81, 24715, 1188, 23049, 203, 1070, 8527, 32, 4338, 32, 28497, 32, 14250, 1188, 23049, 81, 27279, 203, 1070, 8527, 32, 12023, 1188, 3796, 203, 1070, 8527, 32, 12023, 1188, 5218, 203, 1070, 8527, 32, 2387, 1188, 4448, 1222, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 28497, 1188, 6207, 81, 3648, 203, 1070, 8527, 32, 12023, 32, 2300, 32, 4338, 32, 28497, 1188, 24061, 81, 3656, 81, 3648, 203, 1070, 8527, 32, 36287, 1188, 622, 81, 1473, 81, 271, 81, 38, 34, 38, 203, 1070, 638, 8538, 1188, 886, 708, 1241, 30, 16643, 16175, 1241, 30, 358, 352, 8328, 2406, 16175, 1241, 203, 1070, 638, 3378, 1188, 886, 708, 4144, 30, 16643, 16175, 30, 12526, 23853, 30, 21680, 16175, 30, 358, 352, 8328, 2406, 16175, 30, 28899, 30, 26984, 299, 9490, 30, 16643, 16128, 30, 2704, 42837, 12380, 30, 11038, 6129, 203, 1070, 7138, 1188, 7138, 203, 465, 5167, 30, 26313, 203, 1070, 354, 874, 1188, 17117, 203, 589, 6207, 26, 1357, 711, 284, 281, 280, 2149, 284, 281, 32, 1877, 26, 14250, 26, 1357, 490, 284, 415, 1326, 32, 1959, 610, 330, 3705, 950, 291, 442, 2908, 81, 452, 81, 1986, 463, 41823, 33, 3615, 32, 916, 370, 301, 324, 330, 599, 81, 4275, 950, 2234, 81, 4275, 30, 291, 1790, 284, 813, 44, 291, 442, 2908, 81, 452, 81, 1986, 463, 41823, 33, 3615, 32, 916, 370, 281, 27, 203, 50, 3615, 81, 3648, 26, 3615, 81, 965, 3784, 41823, 657, 203, 589, 20641, 26, 1357, 711, 284, 3796, 32, 12646, 26, 1357, 27, 284, 442, 17874, 11445, 3247, 41823, 13093, 301, 291, 330, 599, 81, 4275, 950, 313, 4282, 4763, 10718, 1091, 4938, 12946, 963, 3107, 284, 1790, 203, 589, 3796, 81, 1071, 26, 1357, 711, 284, 952, 280, 1326, 32, 3705, 32, 371, 463, 699, 370, 9142, 284, 3882, 280, 1326, 32, 3705, 32, 371, 463, 2895, 370, 9142, 284, 1256, 280, 3796, 32, 22053, 26, 699, 47, 699, 30, 3882, 47, 2895, 27, 284, 415, 1256, 438, 646, 1665, 44, 291, 3796, 32, 3615, 26, 1357, 30, 1256, 27, 20216, 442, 17874, 11445, 3247, 41823, 33, 3707, 33, 7854, 683, 3701, 813, 44, 291, 442, 17874, 11445, 3247, 41823, 25844, 203, 50, 3615, 81, 3648, 26, 3615, 81, 965, 3784, 41823, 29594, 203, 589, 6765, 26, 1357, 711, 284, 11610, 280, 596, 32, 5729, 26, 6665, 32, 2174, 922, 20834, 4912, 51, 2131, 17946, 415, 646, 1326, 32, 496, 32, 297, 81, 39744, 610, 2933, 44, 291, 1929, 81, 21745, 8328, 2406, 280, 2069, 26, 27349, 8328, 2406, 16175, 32, 5740, 32, 2029, 26, 24124, 47, 1357, 32, 496, 490, 291, 816, 35, 280, 428, 92, 436, 594, 328, 16643, 16175, 32, 5740, 32, 464, 346, 415, 308, 92, 32, 496, 610, 1326, 32, 496, 461, 594, 32, 17360, 81, 1793, 81, 4373, 81, 1906, 379, 2521, 2177, 291, 1929 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 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, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 2, 2, 5, 6, 5, 7, 7, 8, 7, 2, 2, 3, 5, 6, 4, 4, 6, 6, 3, 3, 5, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 7, 8, 8, 11, 11, 11, 11, 9, 10, 10, 8, 8, 8, 3, 3, 4, 4, 4, 6, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 0, 2, 4, 4, 4, 4, 6, 6, 6, 5, 7, 7, 1, 2, 2, 3, 4, 3, 2, 2, 6, 7, 6, 7, 6, 3, 3, 4, 6, 6, 8, 8, 6, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 8, 6, 7, 6, 8, 8, 6, 2, 2, 4, 4, 7, 8, 6, 7, 6, 8, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 7, 8, 6, 2, 2, 3, 4, 4, 4, 3, 3, 3, 7, 8, 7, 8, 7, 7, 7, 4, 4, 5, 7, 7, 9, 9, 9, 9, 9, 9, 3, 3, 4, 4, 4, 6, 8, 8, 10, 10, 0, 2, 4, 4, 4, 4, 6, 6, 6, 5, 7, 7, 1, 2, 2, 3, 4, 3, 2, 2, 5, 5, 7, 8, 7, 12, 11, 12, 11, 10, 9, 11, 11, 3, 3, 4, 5, 8, 9, 7, 8, 8, 8, 6, 6, 4, 4, 4, 8, 8, 8, 8, 7, 7, 9, 13, 13, 13, 13, 12, 13, 11, 12, 11, 13, 12, 14, 13, 14, 11, 5, 5, 8, 7, 7, 9, 8, 9, 9, 9, 13, 12, 13, 11, 12, 11, 8, 9, 14, 13, 14, 12, 12, 13, 14, 11, 11, 13, 14, 14, 14, 14, 14, 14, 14, 12, 13, 10, 5, 5 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 4, 4, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 1, 6, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 1, 6, 1, 8, 9, 9, 0, 0, 0, 0, 0, 10, 10, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 0, 11, 11, 0, 0, 11, 11, 0, 0, 11, 11, 0, 0, 0, 0, 0, 0, 12, 12, 0, 12, 12, 0, 0, 12, 12, 0, 12, 12, 0, 12, 12, 0, 12, 12, 0, 0, 0, 0, 12, 12, 12, 12, 0, 0, 12, 12, 0, 12, 12, 0, 0, 12, 12, 0, 0, 13, 13, 13, 13, 0, 14, 14, 14, 14, 0, 15, 15, 0, 15, 15, 0, 16, 16, 2, 1, 2, 16, 16, 0, 0, 4, 4, 0, 2, 1, 0, 1, 1, 1, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 17, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 4, 4, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 18, 18, 1, 1, 2, 1, 2, 18, 18, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 3, 1, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 4, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 19, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 4, 4, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 3, 3, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 3, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 7138, 1188, 2340, 203, 1070, 8527, 32, 1199, 1188, 12522, 30, 4549, 203, 3705, 69, 280, 428, 284, 301, 291, 313, 1311, 563, 313, 36115, 225, 35, 32, 34, 11036, 392, 291, 313, 7794, 563, 313, 11025, 31, 35, 34, 31, 26825, 392, 291, 313, 2862, 81, 770, 563, 2340, 26, 36, 34, 34, 42, 30, 225, 43, 30, 225, 37, 471, 291, 313, 1366, 9016, 563, 5518, 291, 313, 3963, 563, 3037, 11025, 392, 313, 2958, 392, 313, 1840, 3439, 291, 313, 878, 563, 313, 14101, 3704, 11450, 4414, 284, 801, 284, 301, 291, 313, 1311, 563, 313, 5291, 23536, 101, 436, 46107, 392, 291, 313, 7794, 563, 313, 6656, 31, 31380, 31, 979, 31, 16842, 392, 291, 313, 2862, 81, 770, 563, 2340, 26, 36, 34, 35, 35, 30, 225, 36, 30, 225, 36, 35, 471, 291, 313, 1366, 9016, 563, 3037, 6656, 31, 31380, 3439, 291, 313, 3963, 563, 3037, 33915, 318, 31, 45573, 392, 313, 2958, 3439, 291, 313, 878, 563, 324, 313, 2797, 1755, 2953, 2268, 1930, 313, 324, 313, 35585, 48626, 4414, 284, 801, 284, 301, 291, 313, 1311, 563, 313, 36115, 22929, 392, 291, 313, 7794, 563, 313, 11025, 31, 10705, 392, 291, 313, 2862, 81, 770, 563, 2340, 26, 36, 34, 35, 37, 30, 225, 35, 30, 225, 35, 42, 471, 291, 313, 1366, 9016, 563, 3037, 92, 2733, 267, 31, 12279, 3439, 291, 313, 3963, 563, 3037, 11025, 3439, 291, 313, 878, 563, 324, 313, 36055, 372, 7350, 18297, 328, 312, 443, 313, 324, 313, 8126, 49, 971, 404, 32122, 3859, 24895, 313, 324, 313, 45595, 31, 267, 32751, 328, 322, 2676, 313, 324, 313, 2846, 32, 9077, 9696, 436, 3049, 49, 313, 324, 313, 31805, 4621, 13655, 544, 1370, 2676, 461, 313, 324, 313, 7747, 10052, 461, 883, 2329, 526, 313, 324, 313, 90, 3911, 436, 943, 31, 452, 31, 416, 8226, 4414, 284, 801, 284, 301, 291, 313, 1311, 563, 313, 36115, 225, 35, 32, 42, 11036, 392, 291, 313, 7794, 563, 313, 11025, 31, 35, 42, 31, 26825, 392, 291, 313, 2862, 81, 770, 563, 2340, 26, 36, 34, 35, 39, 30, 225, 38, 30, 225, 35, 471, 291, 313, 1366, 9016, 563, 5518, 291, 313, 3963, 563, 3037, 11025, 392, 313, 2958, 392, 313, 1840, 3439, 291, 313, 878, 563, 313, 36115, 225, 35, 32, 42, 438, 18297, 1182, 37270, 313, 324, 313, 1648, 30, 461, 322, 2354, 1503, 313, 324, 313, 2003, 733, 436, 6359, 31, 6266, 6318, 313, 324, 11608, 62, 7146, 547, 41451, 6058, 688, 18297, 225, 35, 32, 42, 313, 324, 313, 11104, 526, 5420, 436, 8928, 2784, 313, 324, 313, 16343, 7041, 44, 18297, 5296, 313, 324, 313, 18014, 1098, 6377, 312, 3982, 313, 324, 313, 3779, 619, 41451, 30, 461, 1615, 4036, 313, 324, 313, 452, 1974, 688, 1503, 23274, 313, 324, 313, 1028, 322, 28270, 3621, 14770, 32, 1348, 313, 324, 313, 11104, 2401, 6222, 2953, 8298, 312, 537, 313, 324, 313, 62, 7146, 1503, 30, 1510, 18214, 313, 324, 313, 45053 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 3, 3, 2, 2, 3, 3, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 7, 7, 5, 7, 8, 8, 8, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 7, 7, 5, 4, 4, 7, 7, 5, 8, 8, 6, 8, 8, 6, 8, 8, 4, 4, 7, 7, 5, 7, 7, 7, 7, 4, 4, 3, 3, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 7, 7, 5, 7, 8, 8, 8, 8, 7, 7, 8, 7, 7, 8, 8, 7, 4, 4, 7, 7, 7, 5, 8, 8, 8, 8, 4, 4, 7, 7, 5, 8, 8, 8, 8, 8, 6, 8, 8, 4, 4, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 4, 4, 3, 3, 4, 4, 7, 7, 5, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 4, 4, 7, 7, 7, 7, 5, 7, 8, 8, 8, 8, 7, 7, 8, 7, 7, 8, 8, 7, 4, 4, 7, 7, 7, 5, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 5, 8, 8, 4, 4, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 3, 3, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 7, 7, 5, 7, 8, 8, 8, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 7, 7, 5, 4, 4, 7, 7, 5, 8, 8, 6, 8, 8, 6, 8, 8, 4, 4, 7, 7, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8 ]
[ 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, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 2, 9, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 3, 3, 1, 1, 2, 7, 1, 1, 1, 2, 3, 3, 1, 2, 9, 1, 1, 1, 1, 2, 2, 1, 2, 3, 3, 1, 2, 11, 11, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 2, 2, 5, 5, 1, 2, 1, 1, 1, 2, 5, 5, 1, 2, 3, 1, 1, 1, 2, 5, 5, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 5, 5, 1, 1, 2, 7, 1, 1, 1, 1, 1, 2, 5, 5, 1, 2, 9, 1, 2, 5, 5, 1, 2, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 2, 2, 7, 7, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 7, 7, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 7, 7, 1, 1, 2, 7, 7, 7, 1, 2, 9, 1, 2, 2, 1, 2, 2, 1, 2, 7, 7, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1 ]
[ 465, 12500, 32, 17449, 619, 5743, 225, 203, 465, 6436, 619, 2065, 203, 325, 1156, 426, 505, 610, 11477, 14842, 14935, 284, 1188, 2322, 284, 1188, 29590, 284, 624, 280, 225, 42, 34, 34, 284, 32943, 280, 225, 36, 34, 284, 1334, 26, 73, 30, 225, 40, 34, 34, 27, 284, 5743, 32, 8475, 346, 284, 5743, 32, 25371, 346, 284, 5743, 32, 2679, 463, 464, 683, 284, 665, 1779, 893, 2262, 291, 296, 906, 280, 29590, 32, 11049, 24723, 974, 26, 2816, 1057, 105, 29, 84, 370, 12809, 1057, 32, 1645, 370, 3066, 47, 2700, 27, 291, 18146, 280, 296, 906, 32, 426, 291, 296, 906, 32, 2679, 346, 291, 442, 18146, 284, 4791, 106, 280, 225, 36, 34, 284, 4791, 107, 280, 225, 34, 284, 665, 5743, 2245, 26, 6073, 30, 33942, 47, 35, 39, 34, 711, 291, 3649, 4791, 106, 30, 4791, 107, 291, 1779, 983, 280, 1779, 893, 346, 291, 5743, 32, 25317, 26, 1433, 983, 30, 33942, 47, 16528, 27, 291, 12211, 30, 7032, 280, 1778, 891, 26, 1433, 983, 27, 291, 341, 280, 1847, 26, 73, 30, 4582, 27, 291, 1778, 26, 1433, 983, 30, 1275, 106, 30, 1275, 107, 30, 1644, 47, 105, 27, 291, 4791, 107, 280, 4791, 107, 474, 13196, 474, 225, 36, 34, 291, 2322, 32, 2546, 26, 1433, 983, 27, 291, 1334, 26, 73, 30, 29920, 29, 7032, 29, 38, 34, 27, 203, 1824, 44, 284, 665, 5743, 2245, 26, 23491, 17449, 711, 291, 48499, 17449, 32, 2245, 346, 203, 582, 1617, 280, 5743, 32, 7630, 346, 203, 582, 11464, 280, 5743, 32, 7630, 346, 203, 648, 1617, 280, 6531, 1617, 32, 669, 81, 23541, 26, 35, 35, 35, 30, 816, 6782, 4310, 34, 30, 225, 35, 471, 533, 6782, 4310, 34, 30, 225, 35, 471, 38406, 2757, 81, 267, 47, 2700, 27, 203, 648, 11464, 280, 6531, 11464, 32, 669, 81, 23541, 26, 35, 35, 35, 30, 816, 6782, 4310, 34, 32, 38, 39, 30, 225, 34, 32, 39, 39, 471, 533, 6782, 4310, 34, 32, 38, 30, 638, 40, 471, 6035, 38406, 2757, 81, 267, 47, 2700, 27, 203, 648, 1617, 32, 470, 81, 1311, 463, 2655, 372, 13156, 683, 203, 648, 11464, 32, 470, 81, 1311, 463, 11464, 3223, 683, 203, 106, 30, 533, 30, 309, 30, 281, 280, 2065, 32, 3855, 32, 6386, 26, 38, 30, 225, 36, 34, 34, 27, 203, 101, 10439, 225, 36, 34, 34, 203, 648, 1617, 32, 17808, 26, 106, 30, 533, 30, 309, 30, 281, 27, 203, 648, 11464, 32, 17808, 26, 106, 30, 533, 30, 309, 30, 281, 27, 203, 589, 544, 1380, 26, 1567, 711, 284, 415, 1692, 32, 1640, 863, 225, 35, 44, 291, 442, 284, 816, 30, 533, 280, 1692, 32, 106, 605, 30, 1692, 32, 107, 605, 284, 3327, 11464, 32, 470, 81, 33019, 26, 106, 429, 225, 34, 32, 35, 30, 816, 474, 225, 34, 32, 35, 27, 284, 3327, 11464, 32, 470, 81, 28691, 26, 107, 429, 225, 34, 32, 35, 30, 533, 474, 225, 34, 32, 35, 27, 284, 6531, 11464, 32, 8031 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 2, 2, 3, 2, 2, 4, 4, 5, 5, 5, 2, 2, 4, 4, 5, 5, 2, 2, 5, 6, 5, 5, 6, 6, 6, 5, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 7, 7, 2, 2, 3, 4, 4, 3, 3, 7, 6, 6, 8, 9, 9, 9, 8, 10, 9, 11, 11, 11, 11, 8, 9, 11, 11, 11, 8, 9, 10, 8, 4, 4, 6, 6, 8, 7, 8, 4, 4, 8, 7, 8, 7, 4, 4, 5, 2, 2, 5, 4, 4, 5, 5, 2, 2, 5, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 6, 6, 4, 3, 3, 5, 6, 5, 5, 6, 4, 4, 7, 6, 6, 8, 8, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 9, 7, 4, 4, 7, 8, 6, 6, 8, 8, 9, 9, 8, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 8, 8, 7, 8, 8, 7, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 6, 6, 9, 8, 8, 7, 7, 8, 8, 4, 4, 7, 8, 7, 8, 8, 7, 4, 4, 7, 8, 7, 7, 9, 10, 8, 9, 9, 7, 1, 2, 2, 2, 2, 4, 5, 5, 6, 6, 5, 4, 4, 9, 8, 9, 8, 0, 3, 3, 2, 2, 4, 5, 4, 0, 3, 3, 2, 2, 4, 5, 4, 0, 3, 3, 2, 2, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 6, 5, 7, 6, 6, 7, 6, 4, 6, 5, 7, 6, 6, 7, 6, 4, 6, 6, 6, 5, 6, 4, 0, 3, 3, 2, 2, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 6, 5, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 6, 4, 6, 5, 7, 7, 7, 6, 6, 7, 6, 4, 4, 6, 6, 6, 5, 6, 4, 0, 4, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 0, 4, 4, 3, 4, 4, 4, 3, 5, 5, 5, 0, 4, 3, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 4, 4, 5, 5, 5, 4, 0, 3, 2, 2, 3, 3, 3, 0, 4, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 0, 4, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 5, 6, 4, 4, 5, 3, 3, 3, 2, 2, 5, 5, 4, 4, 6, 7, 7, 5, 5, 6, 7, 7, 2, 2, 6, 5, 6, 6, 6, 5, 7, 6, 6, 7, 7, 7, 5, 5, 6, 6, 7, 7, 7, 5, 2, 2, 6, 5, 6, 6, 6, 5, 7, 6, 6, 7, 7, 7, 5, 5, 6, 6, 7, 7, 7, 5, 2, 2, 7, 6, 7 ]
[ 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 3, 3, 1, 3, 3, 0, 0, 2, 2, 2, 3, 3, 0, 0, 2, 2, 3, 3, 1, 1, 1, 1, 3, 3, 3, 1, 3, 3, 0, 2, 1, 3, 3, 0, 2, 1, 3, 3, 0, 2, 1, 1, 2, 3, 3, 8, 1, 2, 8, 8, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 5, 2, 1, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 2, 1, 4, 4, 3, 3, 3, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 2, 3, 3, 11, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 11, 11, 0, 1, 0, 0, 3, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 3, 3, 1, 5, 5, 1, 0, 7, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 2, 3, 2, 2, 1, 2, 4, 4, 4, 4, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 3, 1, 2, 2, 3, 2, 1, 0, 5, 1, 2, 2, 3, 2, 1, 0, 0, 0, 7, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 3, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 0, 5, 1, 1, 1, 2, 2, 3, 2, 1, 1, 0, 0, 0, 7, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 3, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 13, 13, 1, 2, 1, 2, 13, 13, 0, 0, 2, 1, 1, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 3, 3, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 3, 3, 2, 2, 2, 1, 4, 4, 0, 0, 2 ]
[ 465, 281, 652, 2338, 203, 465, 2322, 203, 465, 19571, 203, 465, 6234, 203, 465, 5237, 203, 465, 3619, 2837, 203, 823, 13601, 3663, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 3408, 30, 319, 1132, 30, 1115, 5321, 711, 284, 630, 32, 2130, 5264, 2059, 26, 2035, 27, 334, 665, 4793, 5264, 2059, 26, 784, 30, 3408, 711, 284, 20498, 81, 4817, 280, 6234, 32, 4817, 346, 284, 20498, 81, 4817, 32, 470, 46989, 26, 4817, 32, 18634, 81, 22251, 30, 6234, 32, 3629, 81, 613, 4855, 8588, 30, 225, 35, 27, 284, 20498, 81, 4817, 32, 2539, 26, 2035, 27, 284, 20498, 81, 4817, 32, 12220, 26, 35, 27, 284, 1459, 330, 35357, 436, 14961, 12215, 544, 2601, 904, 86, 4564, 904, 3408, 77, 35, 79, 284, 630, 1114, 4817, 30, 2965, 280, 20498, 81, 4817, 32, 7494, 346, 284, 1459, 330, 24898, 3387, 645, 904, 101, 6069, 86, 4564, 904, 2965, 284, 2218, 630, 32, 11877, 2262, 397, 630, 1114, 3297, 9505, 346, 334, 665, 12305, 5264, 2059, 26, 784, 711, 284, 415, 630, 1114, 4817, 44, 397, 1596, 44, 291, 630, 1114, 4817, 32, 16080, 26, 4817, 32, 48682, 81, 12733, 2591, 27, 291, 630, 1114, 4817, 32, 2679, 346, 397, 2940, 6234, 32, 731, 44, 291, 3097, 397, 630, 1114, 4817, 280, 1665, 334, 665, 36035, 26, 784, 711, 284, 442, 630, 1114, 4817, 334, 665, 2648, 2922, 26, 784, 30, 1760, 81, 823, 711, 284, 630, 32, 1977, 280, 1760, 81, 823, 346, 334, 665, 617, 3297, 9505, 26, 784, 711, 284, 1326, 280, 630, 1114, 4817, 32, 12084, 26, 38, 34, 43, 40, 27, 284, 415, 646, 1326, 44, 397, 630, 32, 6495, 5264, 2059, 346, 397, 442, 284, 1326, 280, 19571, 32, 12474, 26, 1357, 27, 284, 3610, 81, 9362, 280, 5237, 32, 9362, 284, 3610, 81, 8228, 280, 5237, 32, 8228, 284, 5237, 32, 9362, 280, 12532, 280, 281, 652, 2338, 32, 652, 2338, 346, 284, 5237, 32, 8228, 280, 16154, 280, 281, 652, 2338, 32, 652, 2338, 346, 284, 1056, 280, 1665, 284, 3756, 280, 1665, 284, 1596, 44, 397, 415, 18623, 26, 784, 30, 1326, 77, 34, 614, 1665, 711, 291, 1056, 280, 18623, 26, 784, 30, 1326, 77, 34, 1130, 2740, 1357, 77, 35, 614, 1115, 1357, 77, 36, 1130, 397, 813, 44, 291, 1056, 280, 18623, 26, 784, 32, 1977, 30, 1326, 77, 34, 1130, 2740, 1357, 77, 35, 614, 1115, 1357, 77, 36, 1130, 284, 2940, 3772, 984, 30, 484, 44, 397, 3756, 280, 308, 87, 3667, 823, 29215, 426, 7642, 596, 26, 87, 490, 284, 5237, 32, 9362, 280, 3610, 81, 9362, 284, 5237, 32, 8228, 280, 3610, 81, 8228, 284, 1789, 280, 19571, 32, 16958, 1162, 1267, 30, 12532, 32, 371, 853, 1026, 16154, 32, 371, 853, 1026, 6035, 3756, 490, 284, 415, 630, 1114, 4817, 32, 2714, 26, 1986, 27, 863, 2069, 26, 1986, 711, 397, 630, 32, 6495, 5264, 2059, 346, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 3619, 2837, 81, 9089, 280, 3619, 2837, 32, 4997, 19395, 445 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 4, 4, 8, 8, 7, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 9, 7, 7, 8, 7, 4, 4, 8, 8, 7, 8, 7, 8, 7, 4, 4, 8, 8, 7, 8, 7, 8, 7, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 7, 4, 4, 8, 9, 7, 7, 6, 6, 9, 9, 8, 9, 8, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 5, 7, 8, 7, 5, 5, 9, 10, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 5, 5, 5, 7, 7, 7, 12, 13, 11, 12, 11, 13, 12, 13, 13, 13, 13, 11, 8, 8, 12, 13, 11, 12, 11, 7, 7, 8, 9, 10, 8, 8, 8, 6, 6, 9, 10, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 9, 8, 4, 4, 5, 6, 5, 5, 5, 9, 10, 10, 10, 9, 6, 6, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 7, 8, 4, 4, 7, 7, 6, 6, 7, 8, 4, 4, 7, 8, 6, 6, 7, 7, 10, 10, 9, 10, 10, 9, 4, 4, 7, 8, 6, 6, 7, 7, 10, 10, 9, 10, 10, 9, 4, 4, 6, 6, 4, 4, 6, 6, 4, 4, 5, 5, 5, 7, 9, 10, 9, 9, 10, 11, 10, 9, 9, 7, 7, 10, 10, 13, 14, 13, 13, 14, 15, 14, 12, 15, 14, 15, 14, 12, 15, 14, 15, 14, 7, 7, 8, 8, 8, 11, 11, 14, 16, 15, 16, 14, 14, 15, 16, 15, 13, 16, 15, 16, 15, 13, 16, 15, 16, 15, 5, 5, 6, 7, 6, 6, 6, 6, 6, 9, 9, 13, 12, 13, 13, 12, 12, 10, 12, 13, 12, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 6, 6, 8, 9, 8, 10, 9, 9, 11, 12, 12, 11, 9, 11, 12, 12, 11, 9, 9, 9, 4, 4, 5, 9, 10, 8, 9, 8, 9, 8, 6, 6, 8, 9, 8, 5, 5, 9, 10, 10, 10, 9, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 5, 5, 4, 4, 7, 6, 7, 7, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 5, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 0, 2, 1, 7, 7, 0, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 3, 1, 2, 3, 3, 3, 3, 3, 0, 2, 0, 0, 4, 4, 3, 2, 1, 2, 3, 3, 0, 1, 2, 4, 4, 4, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 2, 0, 0, 0, 0, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 3, 3, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 9, 9, 9, 0, 1, 1, 1, 1, 3, 2, 3, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 3, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 4, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 3, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 9, 9, 3, 1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 4, 4, 13, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 13, 13, 0, 2, 2, 2, 1, 0, 7, 7, 0, 0, 1, 1, 1, 1, 7, 7, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2 ]
[ 465, 1417, 203, 465, 7395, 14510, 203, 1070, 2322, 315, 81, 1163, 1188, 8444, 203, 1070, 2322, 315, 81, 751, 1188, 1245, 619, 5741, 203, 1070, 594, 3357, 32, 4219, 1188, 3756, 203, 1070, 594, 3357, 32, 4219, 32, 91, 35, 42, 96, 1188, 4950, 617, 27812, 203, 1070, 594, 3357, 32, 4219, 32, 678, 16397, 1188, 1202, 203, 1070, 594, 3357, 32, 4219, 32, 678, 16397, 1188, 1202, 81, 16397, 203, 678, 81, 16397, 81, 6363, 280, 428, 284, 8444, 32, 2007, 5482, 463, 8638, 81, 678, 370, 3083, 3049, 1057, 8222, 1202, 4717, 810, 1202, 7884, 30, 3191, 328, 9960, 1425, 203, 79, 203, 14594, 280, 8444, 32, 14594, 203, 14594, 32, 3317, 81, 6363, 26, 678, 81, 16397, 81, 6363, 30, 2350, 1057, 4219, 81, 678, 16397, 683, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 13657, 953, 1572, 26, 678, 81, 16397, 32, 953, 1572, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 5191, 953, 1572, 30, 630, 14585, 1664, 16369, 291, 630, 32, 678, 81, 314, 280, 330, 34, 34, 34, 34, 34, 34, 34, 34, 31, 34, 34, 34, 34, 31, 34, 34, 34, 34, 31, 34, 34, 34, 34, 31, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 25, 284, 665, 617, 5536, 81, 678, 26, 784, 30, 1115, 5321, 711, 291, 617, 6949, 280, 630, 1114, 5536, 81, 6949, 81, 678, 14605, 5321, 27, 291, 1202, 81, 668, 280, 1417, 32, 955, 463, 52, 370, 7395, 14510, 32, 311, 6949, 13212, 2176, 6949, 3427, 25880, 346, 291, 442, 1202, 32, 46274, 953, 463, 16902, 370, 1202, 81, 668, 27, 284, 665, 617, 5536, 81, 6949, 81, 678, 26, 784, 30, 1115, 5321, 711, 291, 415, 45623, 32, 4219, 81, 678, 16397, 32, 8638, 81, 678, 438, 1665, 44, 324, 5776, 32, 5691, 26, 400, 617, 27812, 463, 1163, 2470, 4759, 81, 678, 16397, 32, 8638, 81, 678, 1401, 646, 2583, 3417, 6078, 528, 330, 1629, 7373, 1631, 3547, 15372, 631, 2847, 324, 3636, 10091, 2176, 463, 4219, 81, 678, 16397, 32, 8638, 81, 678, 646, 3417, 2847, 291, 442, 45623, 32, 4219, 81, 678, 16397, 32, 8638, 81, 678, 284, 665, 1487, 81, 678, 26, 784, 30, 40970, 30, 1115, 5321, 711, 291, 415, 40970, 438, 1665, 44, 324, 3636, 3756, 32, 1337, 25393, 346, 291, 442, 630, 32, 678, 81, 314, 284, 665, 2968, 81, 678, 26, 784, 30, 40970, 30, 1202, 30, 1115, 5321, 711, 291, 415, 40970, 438, 1665, 44, 324, 3636, 3756, 32, 1337, 25393, 346, 291, 415, 1202, 863, 630, 1114, 5536, 81, 678, 2262, 324, 3636, 3756, 32, 953, 1572, 924, 26, 400, 5966, 347, 18506, 2968, 16932, 5036, 657, 291, 442, 630, 32, 678, 81, 314, 284, 665, 1933, 81, 678, 26, 784, 30, 40970, 30, 1202, 81, 314, 30, 1115, 5321, 711, 291, 415, 40970, 438, 1665, 44, 324, 3636, 3756, 32, 1337, 25393, 346, 291, 442, 630, 32, 678, 81, 314, 284, 665, 622, 81, 678, 26, 784, 30, 40970, 30, 1202, 81, 314, 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, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 0, 3, 2, 2, 3, 4, 0, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 6, 6, 6, 6, 6, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 10, 8, 4, 4, 7, 7, 6, 6, 10, 11, 10, 12, 12, 10, 13, 12, 13, 13, 13, 12, 13, 12, 9, 8, 4, 4, 5, 7, 8, 8, 7, 9, 9, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 6, 4, 3, 3, 5, 8, 9, 9, 9, 9, 7, 8, 8, 8, 6, 6, 5, 5, 5, 9, 10, 9, 9, 9, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 6, 6, 7, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 4, 4, 5, 7, 8, 8, 8, 8, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 7, 9, 10, 10, 9, 4, 4, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 7, 9, 10, 10, 9, 4, 4, 5, 6, 6, 8, 9, 9, 9, 8, 5, 5, 7, 9, 10, 10, 10, 9, 9, 9, 10, 12, 12, 12, 12, 12, 4, 4, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 7, 9, 10, 10, 9, 4, 4, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 4, 4, 4, 5, 5, 5, 0, 0, 6, 6, 0, 1, 2, 1, 4, 4, 6, 6, 0, 7, 7, 0, 1, 2, 1, 4, 4, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 12, 12, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 12, 12, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 4, 4, 2, 0, 2, 2, 1, 1, 2, 1, 3, 3, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 1, 1, 2, 2, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 4, 4, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 2, 2, 2, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 1, 2, 5, 5, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 1, 1, 2, 2, 2, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2 ]
[ 1070, 894, 1188, 894, 81, 3592, 203, 465, 15798, 203, 465, 310, 297, 203, 823, 489, 297, 4470, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 8212, 26, 784, 711, 291, 1596, 44, 324, 14274, 280, 310, 297, 32, 8212, 346, 291, 2940, 310, 297, 32, 731, 30, 3124, 44, 324, 415, 894, 81, 3592, 32, 10529, 44, 400, 1459, 313, 1006, 6908, 9974, 9318, 3124, 324, 442, 291, 1596, 44, 324, 14274, 32, 2546, 440, 28862, 32, 16385, 15354, 32, 1170, 426, 657, 291, 2940, 10091, 44, 324, 3097, 291, 3390, 280, 225, 34, 291, 436, 310, 297, 1110, 328, 14274, 44, 324, 7996, 280, 310, 297, 32, 2579, 26, 21290, 1110, 27, 324, 436, 831, 30, 354, 328, 7996, 32, 3028, 2262, 400, 415, 646, 831, 44, 528, 4036, 400, 415, 310, 297, 32, 2872, 26, 93, 30, 310, 297, 1110, 27, 863, 354, 44, 528, 630, 32, 5066, 440, 64, 1296, 2530, 3803, 436, 1202, 26781, 101, 25, 328, 1992, 26781, 101, 7362, 904, 308, 93, 30, 310, 297, 1110, 490, 400, 813, 44, 528, 3390, 280, 225, 35, 528, 1626, 324, 415, 3390, 44, 400, 1626, 203, 589, 894, 81, 1831, 2262, 284, 894, 81, 3592, 32, 1945, 81, 18986, 26, 64, 297, 4470, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 894, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 8, 8, 11, 10, 11, 10, 5, 5, 6, 8, 7, 8, 6, 6, 6, 6, 6, 8, 10, 10, 9, 10, 8, 8, 8, 10, 12, 12, 12, 12, 10, 7, 7, 4, 4, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 6, 6, 6, 6, 4, 4, 6, 6, 7, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 8, 8, 11, 10, 11, 10, 11, 11, 10, 6, 6, 7, 8, 8, 7, 7, 9, 10, 9, 7, 7, 9, 10, 9, 9, 9, 8, 8, 9, 13, 12, 13, 12, 13, 12, 12, 13, 13, 12, 10, 10, 9, 9, 9, 13, 14, 13, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 16, 15, 15, 16, 16, 15, 9, 9, 10, 10, 10, 13, 13, 14, 11, 11, 6, 6, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 1, 1, 6, 6, 5, 6, 6, 6, 5, 6, 6, 6, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 3, 0, 1, 2, 3, 3, 3, 3, 3, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 5, 5, 4, 4, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 4, 4, 0, 0, 2, 4, 4, 3, 1, 1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 5, 5, 1, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 4, 4, 4, 0, 0, 2, 2, 2, 5, 5, 2, 2, 2, 2, 0, 4, 4, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 5, 5, 0, 0, 1, 1, 1, 1, 5, 5, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 623, 81, 9849, 264, 203, 465, 2322, 203, 465, 5237, 203, 465, 316, 203, 1270, 44, 284, 1188, 16672, 203, 7343, 29986, 44, 284, 1459, 463, 6574, 2443, 16672, 810, 3974, 313, 15215, 81, 3789, 16672, 20, 683, 284, 5237, 32, 4775, 26, 35, 27, 203, 34909, 81, 965, 280, 313, 641, 555, 1294, 32, 933, 32, 508, 33, 105, 307, 1347, 349, 33, 105, 307, 1347, 349, 33, 2590, 33, 605, 33, 1262, 33, 2242, 33, 34909, 9708, 101, 32, 1645, 20, 203, 589, 3185, 81, 34909, 26, 605, 711, 284, 706, 280, 2706, 96, 2296, 2524, 2009, 91, 436, 595, 328, 706, 32, 2998, 5528, 96, 657, 415, 646, 595, 32, 15990, 4120, 657, 1130, 284, 273, 530, 1907, 280, 316, 32, 6993, 5528, 77, 34909, 81, 681, 78, 729, 40708, 5421, 77, 5272, 34909, 81, 681, 78, 9166, 316, 32, 6737, 2320, 547, 32852, 26, 605, 27, 284, 706, 280, 1524, 1656, 7579, 21734, 73, 1679, 1540, 42325, 3168, 347, 35, 20, 203, 19, 34909, 203, 19, 426, 203, 19, 800, 203, 19, 7909, 432, 203, 19, 5728, 2350, 203, 2993, 284, 436, 595, 328, 273, 530, 1907, 44, 291, 595, 280, 595, 77, 39, 10056, 291, 595, 280, 595, 32, 2998, 5528, 96, 264, 7788, 291, 415, 595, 77, 34, 997, 15990, 440, 313, 711, 324, 4036, 291, 3345, 352, 280, 2884, 46, 20341, 48, 878, 1057, 392, 5335, 377, 20341, 9601, 3778, 612, 48, 6298, 1057, 392, 313, 878, 1057, 392, 5335, 377, 612, 19830, 291, 436, 1344, 328, 3345, 352, 44, 324, 595, 280, 428, 83, 32, 3227, 26, 878, 30, 7746, 436, 312, 328, 595, 79, 291, 1795, 280, 5436, 2009, 104, 32, 7201, 922, 2998, 440, 33568, 436, 354, 328, 595, 1130, 291, 415, 330, 3864, 25, 328, 1795, 44, 324, 4036, 291, 706, 1454, 1524, 10183, 203, 110, 904, 101, 203, 110, 904, 101, 203, 110, 333, 687, 28093, 101, 377, 687, 48, 203, 110, 333, 687, 28093, 101, 377, 687, 48, 203, 110, 904, 101, 203, 2993, 904, 308, 203, 34909, 81, 965, 904, 308, 1286, 710, 5728, 81, 893, 785, 415, 330, 5728, 81, 893, 25, 328, 1795, 813, 1795, 710, 7010, 81, 893, 16578, 203, 1286, 710, 5728, 81, 426, 8150, 38, 5979, 35, 79, 415, 330, 5728, 81, 426, 25, 328, 1795, 813, 1795, 710, 426, 8150, 38, 5979, 35, 614, 203, 1286, 710, 800, 5695, 3227, 4120, 31225, 611, 410, 44, 5079, 392, 32375, 3227, 35619, 392, 313, 5233, 35, 36, 38, 45, 2113, 203, 1286, 710, 7909, 1028, 5695, 3227, 35619, 392, 313, 5233, 35, 36, 38, 45, 657, 415, 330, 7909, 1028, 25, 328, 1795, 813, 4320, 203, 1286, 710, 5728, 81, 1363, 3490, 284, 706, 1454, 29425, 3845, 284, 442, 706, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 4118, 280, 16672, 32, 26633, 26, 2310, 1057, 34909, 36, 6419, 438, 312, 4559, 372, 78, 203, 5954, 322, 37247, 12668, 15282, 328, 37247, 32, 4687, 372, 24091, 14186, 1344, 11834, 284, 4118, 32, 669, 81, 2669, 12605, 88 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 7, 6, 7, 6, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 9, 8, 7, 6, 8, 7, 8, 8, 8, 10, 11, 10, 13, 12, 7, 8, 9, 11, 12, 11, 13, 7, 2, 2, 5, 5, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 10, 8, 7, 6, 7, 6, 2, 2, 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, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 6, 6, 7, 9, 8, 4, 4, 6, 6, 8, 9, 8, 11, 10, 10, 4, 4, 5, 8, 9, 8, 8, 7, 9, 7, 5, 5, 4, 4, 7, 6, 6, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 4, 4, 5, 5, 5, 6, 5, 5, 5, 8, 8, 12, 11, 12, 11, 12, 11, 11, 9, 10, 10, 10, 9, 4, 4, 6, 6, 8, 14, 13, 14, 13, 12, 11, 13, 9, 10, 10, 10, 9, 4, 4, 5, 8, 8, 6, 6, 5, 5, 5, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 10, 10, 10, 9, 9, 13, 12, 14, 14, 14, 14, 11, 11, 14, 14, 14, 14, 12, 12, 11, 11, 12, 14, 14, 14, 14, 8, 12, 11, 13, 13, 13, 13, 12, 11, 13, 10, 9, 9, 12, 12, 12, 12, 10, 10, 9, 9, 11, 13, 13, 12, 11, 13, 10, 8, 14, 13, 15, 15, 13, 12, 14, 14, 14, 14, 14, 14, 12, 11, 10, 12, 10, 12, 12, 12, 12, 12, 12, 8, 13, 12, 14, 14, 14, 12, 11, 13, 11, 13, 13, 13, 13, 13, 13, 9, 9, 12, 12, 12, 10, 10, 9, 9, 8, 10, 9, 11, 11, 11, 11, 2, 2, 4, 4, 6, 2, 2, 3, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 6, 6, 6, 5, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 4, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 3, 1, 0, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 2, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 2, 0, 2, 5, 5, 0, 0, 0, 2, 1, 0, 1, 1, 5, 5, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 5, 5, 4, 4, 4, 3, 4, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 5, 5, 6, 1, 2, 1, 1, 6, 6, 6, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 4, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 3, 3, 1, 1, 1, 2, 2, 2, 3, 3, 0, 1, 2, 0, 2, 1, 4, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 7, 7, 1, 1, 2, 2, 2, 7, 7, 2, 0, 9, 1, 1, 1, 2, 4, 4, 0, 0, 1, 4, 4, 5, 0, 7, 7, 0, 0, 1, 1, 1, 1, 7, 7, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1 ]
[ 465, 7138, 203, 1070, 9270, 32, 48906, 32, 407, 1188, 310, 1199, 203, 1070, 9270, 32, 48906, 32, 407, 1188, 3082, 203, 1070, 1992, 8920, 1188, 3878, 203, 1070, 1992, 8920, 1188, 4527, 203, 505, 464, 505, 280, 428, 284, 313, 3163, 81, 23434, 81, 1170, 81, 2433, 81, 3585, 392, 284, 313, 1653, 3198, 1446, 203, 589, 1395, 81, 23434, 81, 1170, 81, 2433, 81, 3585, 26, 9211, 711, 334, 415, 646, 10582, 44, 284, 442, 3177, 334, 436, 296, 328, 10582, 44, 284, 415, 296, 77, 35, 79, 863, 29683, 44, 397, 442, 2933, 334, 442, 3177, 203, 823, 6480, 3198, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 3083, 10582, 30, 3083, 1542, 81, 823, 81, 983, 711, 284, 630, 32, 9211, 280, 10582, 284, 630, 32, 1160, 81, 823, 81, 983, 280, 1542, 81, 823, 81, 983, 284, 630, 32, 1160, 81, 823, 280, 4527, 32, 979, 81, 426, 26, 784, 32, 1160, 81, 823, 81, 983, 27, 284, 630, 32, 4641, 30, 630, 32, 1366, 30, 630, 32, 416, 280, 630, 1114, 371, 81, 3585, 81, 1070, 81, 9211, 26, 291, 630, 32, 9211, 30, 630, 32, 1160, 81, 823, 27, 334, 477, 17614, 334, 665, 617, 371, 81, 3585, 81, 1070, 81, 9211, 26, 6933, 30, 10582, 30, 1542, 81, 823, 711, 284, 415, 646, 10582, 44, 397, 442, 1665, 30, 1665, 30, 1665, 284, 2155, 81, 2433, 280, 1665, 284, 1477, 81, 695, 280, 1665, 284, 943, 81, 695, 280, 1665, 284, 1477, 81, 2029, 280, 1665, 284, 943, 81, 2029, 280, 1665, 284, 436, 296, 328, 10582, 44, 397, 7018, 30, 3089, 30, 909, 280, 296, 397, 415, 3089, 328, 428, 413, 392, 9120, 12614, 3778, 392, 3778, 347, 2786, 291, 415, 2155, 81, 2433, 461, 2155, 81, 2433, 863, 7018, 44, 616, 3636, 3878, 32, 8418, 3300, 2778, 924, 26, 1090, 313, 3198, 544, 1755, 1591, 2804, 438, 5420, 7144, 291, 2155, 81, 2433, 280, 7018, 291, 415, 909, 438, 1665, 44, 616, 3636, 3878, 32, 8418, 3300, 2778, 924, 26, 1090, 313, 3198, 883, 1330, 526, 1665, 328, 2761, 904, 101, 392, 296, 27, 291, 415, 3089, 328, 428, 413, 392, 9120, 347, 2786, 616, 415, 1477, 81, 695, 438, 646, 1665, 44, 324, 3636, 3878, 32, 8418, 3300, 2778, 924, 26, 400, 313, 3774, 904, 101, 438, 3191, 1829, 2784, 5049, 4414, 3089, 27, 616, 1477, 81, 695, 280, 909, 616, 1477, 81, 2029, 280, 296, 291, 813, 44, 616, 415, 943, 81, 695, 438, 646, 1665, 44, 324, 3636, 3878, 32, 8418, 3300, 2778, 924, 26, 400, 313, 3774, 904, 101, 438, 3191, 1829, 2784, 5049, 4414, 3089, 27, 616, 943, 81, 695, 280, 909, 616, 943, 81, 2029, 280, 296, 397, 4348, 3089, 863, 29683, 44, 291, 3636, 3878, 32, 8418, 3300, 2778, 924, 26, 324, 313, 4495, 333, 2511, 848, 2377, 280, 884, 5420, 619, 4212, 32, 26031, 904, 101, 392, 3089, 27, 284, 415, 646, 2155, 81, 2433, 44, 397, 442, 1665, 30, 1665, 30, 1665, 284, 415, 1477, 81, 695, 438, 1665, 556, 943 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 3, 3, 3, 5, 2, 2, 3, 3, 3, 3, 3, 3, 5, 7, 8, 7, 6, 6, 5, 5, 5, 7, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 10, 10, 10, 10, 8, 4, 4, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 9, 10, 8, 8, 9, 10, 10, 10, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 5, 4, 4, 6, 7, 6, 6, 6, 8, 9, 9, 9, 9, 5, 5, 8, 8, 7, 7, 5, 5, 8, 8, 7, 7, 5, 5, 8, 8, 7, 7, 5, 5, 8, 8, 7, 7, 5, 5, 8, 8, 7, 7, 5, 5, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 9, 9, 7, 7, 8, 9, 9, 12, 12, 10, 12, 10, 12, 10, 12, 10, 8, 8, 10, 12, 12, 11, 11, 13, 13, 12, 12, 10, 10, 10, 12, 14, 15, 15, 15, 15, 14, 14, 14, 16, 16, 16, 16, 16, 16, 16, 16, 9, 9, 12, 12, 11, 11, 9, 9, 10, 11, 11, 10, 10, 10, 12, 14, 15, 15, 15, 15, 14, 14, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 9, 9, 10, 11, 11, 14, 14, 12, 14, 12, 10, 10, 12, 14, 14, 13, 13, 13, 12, 12, 12, 14, 16, 17, 17, 17, 17, 16, 16, 16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 16, 16, 11, 11, 14, 14, 13, 13, 11, 11, 14, 14, 13, 13, 10, 10, 11, 11, 11, 13, 15, 15, 14, 14, 14, 13, 13, 13, 15, 17, 18, 18, 18, 18, 17, 17, 17, 19, 19, 19, 19, 19, 19, 19, 19, 19, 17, 17, 12, 12, 15, 15, 14, 14, 12, 12, 15, 15, 14, 14, 8, 8, 9, 10, 10, 9, 9, 9, 11, 13, 14, 14, 14, 14, 13, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 5, 5, 6, 7, 8, 8, 6, 6, 6, 8, 9, 9, 9, 9, 5, 5, 6, 9, 9, 8, 8, 7, 7 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 4, 4, 2, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 0, 0, 4, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 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, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 5, 5, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 3, 3, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 0, 2, 2, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 4, 4, 4, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 4, 1, 1, 4, 4, 4, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 7, 1, 1, 1, 7, 7, 7, 0, 1, 1, 1, 1, 4, 4, 8, 0, 0, 0, 0, 1, 1 ]
[ 465, 4395, 203, 465, 15798, 203, 1070, 8668, 1439, 1664, 32, 26878, 32, 2282, 1188, 8444, 203, 1070, 8668, 1439, 1664, 32, 5558, 32, 5910, 32, 496, 2901, 27752, 1570, 101, 1188, 1984, 4984, 203, 14594, 280, 8444, 32, 14594, 203, 823, 15807, 7495, 1972, 4470, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 1114, 965, 4984, 280, 1984, 4984, 32, 2413, 7495, 4152, 346, 284, 477, 3613, 32, 2675, 463, 3209, 1439, 1664, 32, 5558, 32, 5910, 32, 15539, 2304, 25, 400, 5608, 4526, 81, 496, 81, 605, 81, 1423, 683, 284, 665, 617, 858, 81, 2416, 26, 784, 30, 4395, 81, 4526, 81, 496, 81, 605, 81, 1423, 30, 4870, 711, 291, 4395, 81, 2050, 280, 4395, 32, 20229, 3660, 346, 291, 4395, 81, 2050, 32, 371, 81, 3607, 32, 601, 81, 853, 280, 4870, 291, 1789, 280, 630, 1114, 965, 4984, 32, 2416, 26, 3613, 81, 2050, 27, 291, 4395, 81, 2050, 32, 371, 81, 3607, 32, 862, 81, 10910, 81, 1793, 346, 291, 415, 4870, 44, 324, 4395, 81, 4526, 81, 496, 81, 605, 81, 1423, 32, 862, 81, 10910, 81, 1793, 26, 400, 4395, 81, 2050, 32, 371, 81, 6263, 1157, 324, 630, 32, 5299, 26, 1986, 30, 4395, 81, 4526, 81, 496, 81, 605, 81, 1423, 1157, 291, 813, 44, 324, 630, 32, 6549, 26, 1986, 438, 1665, 27, 291, 1789, 280, 630, 1114, 965, 4984, 32, 2416, 26, 3613, 81, 2050, 27, 291, 4395, 81, 2050, 32, 371, 81, 3607, 32, 862, 81, 10910, 81, 1793, 346, 291, 415, 4870, 44, 324, 4395, 81, 4526, 81, 496, 81, 605, 81, 1423, 32, 862, 81, 10910, 81, 1793, 26, 400, 4395, 81, 2050, 32, 371, 81, 6263, 1157, 324, 630, 32, 5299, 26, 1986, 30, 4395, 81, 4526, 81, 496, 81, 605, 81, 1423, 1157, 291, 813, 44, 324, 630, 32, 6549, 26, 1986, 438, 1665, 27, 284, 665, 894, 81, 2416, 26, 784, 711, 291, 630, 1114, 858, 81, 2416, 26, 3607, 1057, 29269, 31, 15539, 683, 284, 665, 894, 81, 2416, 81, 1286, 81, 1206, 81, 7095, 26, 784, 711, 291, 630, 1114, 858, 81, 2416, 26, 3607, 47, 2521, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 0, 3, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 9, 8, 9, 9, 9, 8, 2, 2, 7, 6, 7, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 8, 8, 7, 7, 9, 10, 10, 9, 5, 5, 10, 10, 9, 10, 10, 10, 8, 9, 9, 9, 7, 7, 5, 5, 7, 7, 10, 11, 11, 9, 10, 9, 10, 10, 10, 9, 5, 5, 10, 10, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 5, 5, 6, 6, 6, 6, 11, 11, 11, 11, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 10, 10, 13, 13, 12, 13, 13, 13, 12, 7, 7, 10, 11, 10, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 6, 6, 7, 7, 7, 11, 12, 11, 13, 12, 12, 11, 5, 5, 7, 7, 10, 11, 11, 9, 10, 9, 10, 10, 10, 9, 5, 5, 10, 10, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 5, 5, 6, 6, 6, 6, 11, 11, 11, 11, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 10, 10, 13, 13, 12, 13, 13, 13, 12, 7, 7, 10, 11, 10, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 6, 6, 7, 7, 7, 11, 12, 11, 13, 12, 12, 11, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 8, 10, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 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 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 3, 3, 0, 0, 0, 0, 0, 2, 2, 0, 5, 5, 1, 1, 1, 2, 0, 1, 2, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 4, 4, 4, 0, 2, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 7, 4, 4, 4, 0, 2, 1, 0, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 1, 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 ]
[ 465, 5237, 203, 465, 1133, 203, 465, 2322, 32, 983, 203, 1270, 44, 284, 1596, 44, 291, 645, 281, 4290, 1188, 12831, 284, 2940, 29986, 44, 291, 645, 6274, 1188, 12831, 284, 645, 298, 5136, 1188, 23270, 284, 3304, 280, 2933, 203, 7343, 29986, 44, 284, 3304, 280, 3177, 203, 823, 13908, 1862, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 15189, 711, 291, 415, 646, 18393, 44, 324, 3636, 12678, 463, 269, 6225, 1591, 3443, 2298, 526, 2702, 683, 291, 630, 32, 15189, 280, 18393, 284, 665, 2866, 26, 784, 30, 706, 711, 291, 436, 3443, 328, 630, 32, 15189, 44, 324, 3443, 32, 1821, 26, 605, 27, 203, 823, 46114, 11063, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1123, 30, 3443, 47, 2521, 30, 353, 3844, 81, 1170, 37346, 1003, 370, 330, 13842, 1425, 26808, 47, 1026, 6274, 81, 1515, 47, 2521, 711, 291, 415, 646, 3304, 44, 324, 3636, 26405, 463, 1382, 43876, 438, 646, 3304, 3301, 330, 7686, 330, 3959, 556, 298, 4597, 438, 646, 6713, 11834, 291, 630, 1114, 725, 280, 1123, 291, 630, 1114, 2238, 280, 3443, 556, 5237, 32, 9362, 291, 630, 1114, 3323, 81, 1170, 280, 3844, 81, 1170, 291, 630, 1114, 268, 17530, 280, 26808, 291, 630, 1114, 3959, 81, 1515, 280, 6274, 81, 1515, 284, 665, 1156, 1851, 3207, 784, 30, 16277, 30, 1477, 81, 1986, 711, 291, 1789, 81, 1548, 280, 1605, 291, 665, 2368, 299, 81, 1366, 81, 1986, 26, 1517, 30, 4826, 30, 13489, 81, 1338, 47, 2521, 711, 324, 1477, 81, 1986, 26, 1517, 30, 4826, 30, 13489, 81, 1338, 27, 324, 442, 1789, 81, 1548, 32, 1689, 291, 665, 1420, 725, 2262, 324, 1123, 1731, 280, 630, 1114, 725, 26, 12757, 30, 2368, 299, 81, 1366, 81, 1986, 27, 324, 1789, 81, 1548, 32, 8233, 26, 725, 1731, 27, 324, 415, 19326, 26, 725, 1731, 30, 330, 2679, 7831, 400, 1123, 1731, 32, 2679, 346, 291, 298, 280, 12831, 346, 291, 1477, 280, 1133, 32, 1003, 346, 291, 298, 32, 100, 956, 464, 26, 1945, 725, 27, 291, 3361, 280, 323, 25, 2473, 2524, 26, 1986, 81, 1548, 27, 291, 18296, 280, 1133, 32, 1003, 346, 429, 1477, 291, 415, 630, 1114, 3959, 81, 1515, 438, 646, 1665, 44, 324, 17469, 81, 3607, 280, 2322, 32, 983, 32, 2524, 26, 784, 1114, 3959, 81, 1515, 30, 11244, 6611, 101, 15231, 101, 15231, 34, 40, 86, 874, 15231, 86, 32, 15765, 25, 904, 308, 13687, 16277, 710, 7921, 81, 9544, 2188, 13687, 16277, 32, 371, 463, 4065, 81, 1589, 1814, 7201, 26, 2270, 3056, 1814, 3227, 19468, 41723, 556, 330, 2388, 370, 13687, 18296, 319, 225, 35, 34, 34, 34, 32, 34, 30, 13687, 1133, 32, 1003, 346, 11244, 9658, 324, 298, 32, 5937, 81, 5136, 26, 15765, 81, 3607, 27, 291, 813, 44, 324, 8616, 280, 23270, 26, 98, 30, 3443, 47, 784, 1114, 2238, 27, 324, 8616, 32, 3323, 81, 5136, 2740, 784, 1114, 3323, 81, 1170, 27, 324, 630, 1114, 2238, 32, 1821, 12605, 25, 319, 225, 42, 34 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 1, 1, 3, 3, 3, 5, 7, 5, 5, 3, 3, 4, 4, 4, 4, 6, 6, 6, 2, 2, 3, 5, 3, 3, 2, 2, 4, 4, 1, 2, 2, 2, 2, 2, 5, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 5, 6, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 6, 7, 5, 5, 5, 9, 10, 9, 10, 9, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 8, 8, 6, 8, 8, 4, 5, 6, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 7, 8, 9, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 8, 8, 7, 8, 6, 5, 5, 9, 9, 9, 10, 9, 9, 9, 9, 10, 10, 9, 6, 6, 7, 9, 9, 8, 9, 4, 4, 5, 6, 6, 5, 5, 9, 8, 8, 10, 11, 10, 11, 10, 10, 11, 11, 11, 11, 11, 10, 6, 6, 10, 10, 9, 10, 9, 10, 10, 9, 6, 6, 7, 9, 10, 10, 9, 9, 11, 11, 7, 7, 12, 11, 12, 11, 4, 4, 6, 6, 8, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 8, 7, 4, 4, 6, 6, 10, 10, 9, 8, 9, 9, 9, 8, 4, 4, 6, 6, 9, 10, 9, 7, 7, 4, 4, 5, 7, 8, 8, 8, 6, 6, 6, 5, 5, 5, 9, 9, 8, 8, 11, 12, 10, 11, 10, 12, 11, 12, 12, 12, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 12, 13, 15, 15, 15, 15, 12, 12, 19, 20, 19, 21, 21, 21, 21, 18, 17, 17, 17, 19, 16, 15, 15, 13, 13, 15, 15, 12, 12, 13, 13, 14, 14, 14, 14, 14, 14, 12, 12, 12, 14, 15, 14, 12, 12, 6, 6, 9, 10, 10, 10, 9, 10, 10, 10, 9, 5, 5, 6, 6, 6, 9, 9, 11, 12, 11, 11, 12, 14, 13, 14, 11, 7, 7, 10, 11, 11, 11, 10, 13, 12, 13, 13, 13, 10, 7, 7, 11, 12, 10, 11, 10, 13, 11, 11, 12, 12 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 3, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 7, 1, 2, 2, 1, 2, 2, 9, 2, 2, 0, 0, 11, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 1, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 1, 0, 0, 1, 2, 4, 4, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 4, 4, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 2, 2, 4, 4, 8, 0, 2, 2, 2, 1, 1, 1, 8, 8, 8, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 3, 3, 1, 2, 2, 2, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 8, 8, 4, 4, 4, 0, 0, 1, 1, 1, 1, 3, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2 ]
[ 465, 13625, 203, 465, 13092, 203, 1070, 2678, 303, 872, 3023, 32, 14481, 1188, 6122, 203, 858, 81, 605, 81, 466, 280, 540, 2993, 203, 658, 3134, 33, 658, 110, 8268, 33, 658, 110, 3134, 33, 203, 658, 313, 8268, 8019, 20, 12074, 33, 658, 110, 8268, 8019, 110, 17483, 33, 658, 110, 313, 8268, 8019, 20, 110, 12074, 33, 203, 658, 330, 8268, 8019, 25, 12074, 33, 658, 110, 8268, 8019, 110, 17483, 33, 658, 110, 330, 8268, 8019, 25, 110, 12074, 33, 203, 658, 313, 8268, 1492, 8019, 20, 12074, 33, 658, 110, 8268, 20, 8019, 110, 17483, 33, 658, 110, 313, 8268, 1492, 8019, 20, 110, 12074, 33, 203, 658, 330, 8268, 10255, 2699, 8019, 25, 12074, 33, 658, 110, 8268, 25, 8019, 110, 17483, 33, 658, 110, 330, 8268, 10255, 2699, 8019, 25, 110, 12074, 33, 203, 658, 313, 8268, 8019, 33, 658, 110, 8268, 8019, 33, 658, 110, 313, 8268, 8019, 33, 203, 658, 330, 8268, 8019, 33, 658, 110, 8268, 8019, 33, 658, 110, 330, 8268, 8019, 33, 203, 658, 5272, 658, 5272, 658, 5272, 203, 658, 313, 8268, 5272, 658, 110, 8268, 5272, 658, 110, 313, 8268, 5272, 203, 658, 517, 658, 33, 658, 110, 517, 203, 1676, 429, 102, 595, 33, 1676, 10183, 102, 110, 91, 33, 1676, 110, 429, 102, 110, 595, 33, 203, 3986, 5697, 33, 3986, 110, 1632, 33, 3986, 110, 5697, 33, 203, 9214, 5697, 33, 3986, 110, 1632, 33, 9214, 110, 5697, 33, 203, 9214, 5697, 517, 3986, 110, 1632, 33, 9214, 110, 5697, 110, 517, 203, 3986, 261, 5697, 264, 323, 3075, 262, 296, 460, 94, 33, 3986, 110, 1632, 110, 1551, 83, 110, 88, 460, 94, 33, 3986, 110, 261, 5697, 110, 264, 323, 3075, 110, 262, 296, 460, 94, 33, 203, 106, 533, 225, 1288, 2850, 816, 10492, 33, 106, 110, 107, 110, 108, 110, 7861, 33, 106, 110, 533, 110, 225, 1288, 110, 2850, 816, 10492, 33, 203, 78, 106, 5697, 33, 106, 110, 1632, 19323, 106, 110, 5697, 33, 203, 78, 816, 5697, 33, 816, 110, 1632, 19323, 816, 110, 5697, 33, 203, 78, 5697, 33, 5697, 19323, 5697, 33, 203, 3986, 766, 106, 5697, 33, 3986, 110, 106, 110, 1632, 33, 3986, 110, 766, 106, 110, 5697, 33, 203, 3986, 766, 816, 5697, 33, 3986, 110, 816, 110, 1632, 33, 3986, 110, 766, 816, 110, 5697, 33, 203, 3986, 766, 5697, 33, 3986, 110, 5697, 33, 3986, 110, 766, 5697, 33, 203, 3986, 313, 1632, 20, 323, 3075, 33, 3986, 110, 1632, 110, 1551, 83, 33, 3986, 110, 313, 1632, 20, 110, 323, 3075, 33, 203, 20, 3986, 20, 313, 1632, 20, 313, 1551, 83, 9663, 3986, 110, 1632, 110, 1551, 83, 5681, 3986, 20, 110, 313, 1632, 20, 110, 313, 1551, 83, 9663, 203, 20, 3986, 20, 5697, 313, 1551, 83, 9663, 3986, 110, 1632, 110, 1551, 83, 5681, 3986, 20, 110, 5697, 110, 313, 1551, 83, 9663, 203, 20, 3986, 20, 5697, 323, 3075, 33, 3986, 110, 1632, 110, 1551, 83, 5681, 3986, 20, 110, 5697, 110, 323, 3075, 33, 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 ]
[ 2, 2, 1, 2, 2, 1, 2, 2, 4, 4, 4, 3, 4, 2, 2, 1, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 5284, 81, 9947, 505, 1188, 27315, 4007, 203, 1070, 5034, 1188, 18564, 203, 823, 1312, 1862, 7256, 26, 15048, 4007, 711, 284, 636, 280, 313, 510, 2238, 32, 452, 20, 284, 24627, 280, 2107, 510, 2238, 32, 452, 785, 284, 5257, 280, 540, 25, 12390, 555, 110, 8169, 2502, 510, 2238, 8169, 452, 4165, 18470, 6912, 31, 6505, 2009, 34, 31, 43, 83, 31, 15188, 31, 76, 6155, 9905, 284, 665, 622, 81, 3435, 81, 965, 26, 784, 30, 3408, 30, 7444, 81, 314, 711, 291, 442, 18564, 32, 371, 81, 3435, 81, 965, 26, 784, 32, 371, 81, 965, 26, 2035, 30, 7444, 81, 314, 471, 9474, 15103, 6020, 100, 9592, 11250, 3491, 101, 18899, 1365, 78, 101, 8088, 49, 66, 46, 965, 8828, 80, 1446, 24913, 2699, 2188, 9474, 10140, 81, 15719, 47, 2700, 27, 284, 665, 622, 81, 965, 26, 784, 30, 3408, 30, 7444, 81, 314, 711, 291, 442, 630, 1114, 1536, 81, 371, 81, 965, 26, 2035, 30, 7444, 81, 314, 30, 3079, 1057, 641, 45268, 2035, 3188, 6912, 27397, 3435, 81, 314, 4009, 916, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 2, 2, 4, 4, 7, 7, 7, 7, 7, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 7, 8, 8, 8, 8, 8, 7, 10, 9, 10, 10, 10, 9, 10, 9, 9, 10, 10, 9, 7, 7, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 7, 8, 8, 8, 8, 8, 7, 8, 7, 7, 8, 8, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 3, 3, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 5, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 465, 6436, 619, 2065, 203, 465, 14785, 619, 5239, 203, 1070, 14785, 32, 16432, 32, 4266, 32, 3969, 81, 858, 81, 2304, 1188, 1487, 81, 6800, 81, 605, 203, 1070, 14785, 32, 16432, 32, 4266, 32, 3969, 81, 858, 81, 2304, 1188, 1930, 81, 3969, 81, 1028, 81, 4882, 203, 1070, 14785, 32, 16432, 32, 4266, 32, 3969, 81, 858, 81, 2304, 1188, 3909, 81, 2682, 81, 858, 81, 1126, 203, 50, 3317, 81, 2682, 81, 858, 81, 1126, 346, 203, 589, 1930, 81, 15404, 81, 4882, 26, 2184, 711, 334, 894, 81, 5138, 280, 7316, 397, 313, 1439, 81, 3229, 563, 3813, 37, 30, 225, 38, 30, 225, 37, 614, 428, 37, 30, 225, 38, 614, 428, 39, 30, 225, 40, 30, 225, 41, 30, 225, 42, 6137, 397, 313, 5082, 563, 428, 34, 30, 225, 35, 30, 225, 36, 30, 225, 37, 614, 334, 16752, 334, 665, 622, 81, 1327, 81, 5082, 26, 5138, 711, 284, 6013, 280, 3377, 1365, 5082, 1446, 284, 6024, 280, 3377, 1365, 1439, 81, 3229, 1446, 31445, 284, 2218, 6013, 848, 2069, 26, 3229, 27, 429, 225, 35, 44, 397, 6013, 5912, 225, 35, 284, 442, 6013, 334, 665, 1968, 81, 2255, 26, 5138, 711, 284, 1509, 81, 6800, 280, 5239, 32, 8524, 32, 104, 35, 32, 10335, 26, 291, 9710, 47, 4213, 32, 1808, 37, 36, 30, 636, 47, 440, 1131, 2113, 6024, 47, 5138, 1365, 1439, 81, 3229, 6890, 284, 963, 101, 280, 5239, 32, 311, 3034, 26, 1131, 81, 6800, 30, 6013, 47, 371, 81, 1327, 81, 5082, 26, 5138, 490, 284, 442, 428, 1131, 81, 6800, 614, 428, 24568, 77, 34, 3212, 334, 665, 1968, 81, 8075, 26, 5138, 30, 13597, 30, 7806, 30, 10107, 711, 284, 1509, 81, 853, 280, 1487, 81, 6800, 81, 605, 26, 2356, 32, 1808, 37, 36, 30, 6024, 47, 5138, 1365, 1439, 81, 3229, 6890, 284, 442, 428, 1131, 81, 853, 614, 13597, 32, 1945, 26, 291, 10107, 30, 6985, 81, 2665, 47, 2665, 26, 3969, 26, 8075, 30, 428, 1131, 81, 853, 25200, 334, 1930, 81, 3969, 81, 1028, 81, 4882, 26, 2184, 30, 894, 81, 5138, 30, 1968, 81, 2255, 30, 1968, 81, 8075, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 2, 4, 4, 4, 4, 4, 4, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 6, 6, 5, 5, 7, 7, 10, 10, 10, 10, 8, 11, 10, 10, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 7, 7, 10, 10, 8, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 7, 7, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 8, 10, 10, 5, 5, 7, 7, 9, 11, 11, 11, 11, 8, 5, 5, 6, 7, 7, 10, 11, 10, 8, 8, 9, 6, 6, 6, 9, 9, 10, 5, 5, 6, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 8, 8, 7, 7, 11, 12, 10, 11, 11, 9, 10, 9, 9, 9, 10, 12, 11, 12, 12, 12, 9, 9, 10, 11, 13, 13, 9, 10, 12, 11, 13, 13, 13, 13, 5, 5, 8, 7, 7, 9, 10, 10, 9, 10, 10, 10, 9, 9, 10, 12, 12, 12, 12, 12, 12, 13, 12, 5, 5, 6, 9, 9, 9, 8, 7, 10, 9, 10, 9, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 7, 7, 9, 9, 9, 9, 9, 11, 10, 11, 11, 11, 9, 9, 10, 12, 11, 13, 13, 13, 13, 5, 5, 6, 9, 9, 9, 8, 7, 9, 10, 9, 9, 9, 9, 9, 11, 11, 10, 12, 12, 14, 14, 15, 14, 14, 16, 16, 16, 15, 3, 3, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 1, 1, 0, 5, 5, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 5, 5, 0, 0, 0, 0, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 2, 1, 3, 3, 3, 3, 2, 1, 5, 5, 3, 5, 5, 5, 5, 5, 7, 5, 1, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 3, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 3, 2, 1, 2, 1, 5, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 0, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 3, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 7, 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 ]
[ 465, 43744, 978, 203, 1070, 43744, 978, 1188, 8684, 30, 1984, 203, 465, 2322, 203, 1696, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 33115, 1026, 2322, 32, 983, 32, 7781, 4064, 761, 28154, 203, 823, 14741, 44, 284, 617, 2219, 81, 1163, 280, 5053, 4280, 32, 751, 81, 35382, 101, 32, 267, 950, 2933, 30, 1750, 320, 284, 665, 1650, 26, 784, 711, 291, 442, 1524, 46, 916, 48, 203, 46, 1548, 48, 8296, 1629, 333, 83, 976, 31197, 101, 49, 83, 47, 41, 3019, 2455, 377, 83, 48, 1519, 30, 203, 271, 312, 333, 83, 976, 31197, 101, 49, 96, 47, 35, 38, 3019, 1536, 377, 83, 48, 1519, 5700, 839, 1681, 203, 1527, 30, 2258, 2779, 821, 322, 10191, 15056, 14006, 839, 1681, 203, 46, 1275, 1561, 31197, 101, 25, 1681, 203, 377, 1548, 855, 916, 48, 2993, 904, 308, 965, 440, 2455, 2113, 1984, 440, 1824, 2113, 3486, 1984, 440, 2536, 33, 24915, 81, 1793, 81, 380, 10257, 978, 81, 4884, 32, 1645, 2131, 284, 1650, 32, 327, 6855, 280, 2933, 284, 665, 1244, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 313, 1132, 44, 904, 101, 10306, 44, 904, 101, 20, 904, 308, 1132, 30, 10306, 27, 284, 1244, 32, 327, 6855, 280, 2933, 284, 665, 1604, 26, 784, 30, 312, 47, 36, 30, 323, 1057, 10357, 278, 302, 370, 281, 47, 2521, 711, 291, 43744, 978, 32, 1986, 32, 5078, 710, 1777, 31, 620, 785, 280, 330, 878, 33, 7355, 25, 291, 415, 281, 438, 1665, 44, 324, 442, 313, 9037, 904, 86, 904, 101, 3107, 904, 308, 410, 26, 83, 471, 323, 27, 291, 813, 44, 324, 442, 313, 9037, 904, 86, 904, 101, 30, 904, 101, 3107, 904, 308, 410, 26, 83, 471, 323, 30, 281, 27, 284, 1604, 32, 327, 6855, 280, 2933, 284, 2276, 280, 43744, 978, 32, 4280, 32, 1574, 1515, 32, 4531, 26, 400, 4169, 3784, 2536, 392, 400, 4921, 47, 500, 32, 983, 32, 2524, 26, 1696, 81, 1515, 30, 313, 1574, 2113, 400, 2530, 47, 100, 25, 8169, 26, 2079, 110, 7876, 110, 916, 47170, 5677, 110, 92, 348, 49, 89, 110, 754, 110, 1645, 110, 1586, 88, 110, 2593, 9501, 370, 400, 829, 203, 2388, 280, 14741, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 0, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 7, 6, 7, 6, 4, 7, 8, 6, 7, 6, 7, 7, 0, 1, 1, 1, 1, 1, 5, 5, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 5, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 9, 11, 11, 7, 9, 11, 11, 7, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 2, 2, 5, 6, 6, 4, 4, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 7, 7, 7, 2, 2, 5, 6, 6, 4, 4, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 4, 5, 7, 7, 7, 7, 4, 5, 6, 4, 3, 3, 10, 9, 10, 8, 9, 7, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 4, 4, 5, 6, 6, 5, 5, 5, 7, 10, 10, 10, 10, 10, 10, 8, 8, 11, 11, 12, 11, 9, 9, 5, 5, 6, 6, 6, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 12, 12, 13, 12, 10, 10, 10, 10, 2, 2, 5, 6, 6, 4, 4, 2, 2, 4, 4, 9, 8, 9, 7, 8, 8, 6, 7, 6, 6, 6, 7, 9, 9, 6, 6, 7, 11, 10, 11, 9, 10, 9, 10, 10, 10, 9, 9, 11, 11, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 0, 3, 2, 2, 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 ]
[ 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 0, 0, 3, 3, 3, 2, 1, 2, 2, 1, 2, 2, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 3, 3, 0, 2, 2, 0, 0, 3, 3, 5, 2, 1, 2, 2, 3, 2, 2, 2, 5, 1, 1, 1, 2, 2, 7, 2, 2, 5, 5, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 0, 2, 2, 0, 0, 3, 3, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 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 ]
[ 1070, 1544, 38789, 81, 95, 2219, 36, 37, 34, 2369, 32, 95, 2219, 36, 37, 34, 35, 41, 1188, 488, 2955, 36, 37, 34, 35, 41, 261, 203, 465, 7772, 261, 203, 465, 6866, 716, 261, 203, 465, 18452, 716, 261, 203, 465, 20536, 103, 3291, 619, 3920, 203, 1070, 6765, 17594, 32, 3527, 32, 4640, 1188, 48923, 81, 20740, 203, 1070, 6765, 17594, 32, 913, 1188, 34062, 81, 5807, 81, 2474, 203, 465, 6765, 17594, 32, 8774, 32, 1163, 81, 6460, 619, 6677, 203, 1070, 6765, 17594, 32, 8774, 32, 2225, 1188, 25185, 2216, 203, 14594, 81, 521, 11836, 81, 19550, 280, 313, 22218, 81, 4557, 20, 203, 14594, 81, 59, 36, 53, 81, 12339, 280, 313, 91, 36, 85, 81, 2468, 20, 203, 14594, 81, 9759, 69, 280, 313, 33983, 20, 203, 14594, 81, 40365, 81, 4959, 280, 313, 3978, 81, 2816, 20, 203, 5807, 81, 521, 11836, 81, 19550, 280, 3177, 203, 5807, 81, 59, 36, 53, 81, 12339, 280, 225, 34, 106, 36, 34, 203, 81, 33124, 940, 81, 20740, 280, 3920, 32, 3694, 1371, 4126, 32, 18502, 81, 410, 44, 6677, 32, 800, 1748, 203, 20753, 81, 20740, 280, 48923, 81, 20740, 32, 8233, 26, 284, 301, 291, 3920, 32, 5413, 26, 14594, 81, 9759, 69, 711, 617, 33124, 940, 81, 20740, 30, 291, 3920, 32, 7556, 26, 14594, 81, 521, 11836, 81, 19550, 30, 1244, 47, 5807, 81, 521, 11836, 81, 19550, 711, 6677, 32, 4398, 30, 291, 3920, 32, 7556, 26, 14594, 81, 59, 36, 53, 81, 12339, 30, 1244, 47, 5807, 81, 59, 36, 53, 81, 12339, 711, 3920, 32, 2235, 26387, 26, 410, 471, 284, 320, 203, 27, 203, 589, 4705, 81, 5134, 26, 31667, 30, 1359, 30, 1015, 81, 9244, 30, 21067, 81, 1338, 47, 2521, 711, 284, 28967, 81, 4557, 280, 1359, 32, 371, 26, 14594, 81, 521, 11836, 81, 19550, 27, 284, 595, 36, 85, 81, 2468, 280, 1359, 32, 371, 26, 14594, 81, 59, 36, 53, 81, 12339, 27, 284, 595, 36, 85, 280, 6866, 716, 32, 59, 36, 53, 26, 2190, 32, 69, 1583, 30, 7772, 32, 3181, 51, 27, 284, 345, 2219, 280, 488, 2955, 36, 37, 34, 35, 41, 26, 91, 36, 85, 30, 2965, 47, 91, 36, 85, 81, 2468, 27, 284, 34789, 280, 1605, 284, 28593, 280, 1359, 32, 371, 26, 14594, 81, 9759, 69, 27, 284, 436, 9565, 81, 1516, 30, 9565, 81, 426, 328, 28593, 32, 3028, 2262, 291, 9565, 280, 345, 2219, 32, 371, 81, 7173, 26, 7173, 81, 1516, 27, 291, 34789, 32, 1689, 26, 63, 2955, 36, 37, 34, 35, 41, 7934, 26, 7173, 81, 426, 30, 9565, 30, 28967, 81, 4557, 490, 284, 1015, 81, 9244, 26, 1586, 21073, 27, 203, 823, 488, 2955, 36, 37, 34, 35, 41, 7934, 26, 9596, 2216, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 9565, 30, 28967, 81, 4557, 711, 291, 630, 1114, 426, 280, 636, 556, 34062, 81, 5807, 81, 2474, 291, 630, 1114, 7173, 280, 9565, 291, 630, 1114, 22218, 81, 4557, 280, 28967, 81, 4557, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 0, 0, 1, 1, 3, 0, 0, 1, 1, 3, 0, 0, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 3, 4, 3, 4, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 8, 7, 8, 8, 8, 6, 6, 7, 8, 5, 0, 3, 3, 3, 2, 2, 5, 5, 4, 5, 4, 4, 4, 5, 5, 8, 9, 8, 9, 9, 9, 9, 8, 6, 7, 7, 7, 7, 5, 5, 5, 8, 9, 8, 9, 9, 9, 9, 9, 9, 8, 8, 9, 10, 10, 10, 10, 10, 10, 8, 6, 7, 8, 5, 5, 5, 8, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 8, 6, 8, 9, 9, 8, 9, 8, 5, 5, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 7, 7, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 8, 7, 8, 8, 6, 6, 7, 8, 8, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 8, 8, 8, 8, 8, 6, 2, 2, 4, 4, 2, 2, 4, 4, 6, 7, 6, 7, 7, 7, 7, 6, 2, 2, 3, 5, 5, 4, 4, 5, 5, 3, 3, 5, 6, 5, 3, 3, 6, 6, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 9, 9, 9, 9, 10, 10, 9, 2, 2, 5, 5, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 7, 7, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 0, 1, 1, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 0, 2, 0, 4, 4, 4, 1, 1, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 5, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 17, 17, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 0, 0, 7, 2, 2, 17, 17, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 6, 0, 0, 1, 1, 2, 2, 6, 6, 0, 2, 1, 6, 6, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 0, 0, 1, 1, 1, 1, 0, 18, 18, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 18, 18, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4 ]
[ 465, 5237, 203, 465, 3995, 203, 589, 1930, 81, 1299, 26, 96, 30, 1174, 711, 284, 665, 4552, 26, 91, 711, 291, 442, 8580, 91, 31, 36, 27, 904, 310, 27, 474, 225, 35, 27, 284, 1459, 463, 348, 2754, 3706, 313, 21707, 37229, 904, 91, 20, 5053, 904, 310, 27, 284, 1459, 463, 225, 15307, 301, 683, 284, 436, 595, 328, 2155, 26, 35, 30, 96, 29, 35, 711, 291, 1459, 463, 264, 5769, 943, 32601, 291, 436, 594, 328, 2155, 26, 35, 30, 96, 29, 35, 711, 324, 1459, 463, 101, 23, 266, 23, 91, 330, 904, 308, 91, 30, 92, 471, 943, 32601, 291, 1459, 346, 291, 1459, 463, 264, 5769, 943, 32601, 291, 436, 594, 328, 2155, 26, 35, 30, 96, 29, 35, 711, 324, 1459, 463, 101, 23, 449, 23, 91, 330, 904, 308, 91, 30, 92, 471, 943, 32601, 291, 1459, 346, 291, 1459, 346, 284, 1459, 463, 264, 16190, 683, 284, 1459, 463, 225, 320, 683, 284, 1459, 463, 225, 28088, 301, 683, 284, 436, 595, 328, 2155, 26, 35, 30, 96, 29, 35, 711, 291, 1459, 463, 264, 5769, 943, 32601, 291, 436, 594, 328, 2155, 26, 35, 30, 96, 29, 35, 711, 324, 1459, 463, 101, 23, 297, 416, 23, 91, 330, 904, 308, 91, 30, 92, 471, 943, 32601, 291, 1459, 346, 291, 1459, 463, 264, 5769, 943, 32601, 291, 436, 594, 328, 2155, 26, 35, 30, 96, 29, 35, 711, 324, 415, 594, 333, 595, 44, 400, 1459, 463, 101, 23, 314, 25415, 23, 91, 330, 904, 308, 91, 30, 92, 471, 943, 32601, 324, 4348, 595, 610, 594, 44, 400, 1459, 463, 101, 23, 38145, 385, 23, 91, 330, 904, 308, 91, 30, 92, 471, 943, 32601, 324, 813, 44, 400, 1459, 463, 101, 23, 639, 350, 23, 91, 330, 904, 308, 91, 30, 92, 471, 943, 32601, 291, 1459, 346, 291, 1459, 346, 284, 1459, 463, 264, 537, 21707, 683, 284, 1459, 463, 225, 320, 683, 284, 1459, 463, 225, 2099, 1729, 301, 683, 284, 436, 595, 328, 2155, 26, 35, 30, 96, 29, 35, 711, 291, 436, 594, 328, 2155, 26, 35, 30, 96, 29, 35, 711, 324, 1459, 463, 264, 309, 23, 266, 23, 91, 967, 309, 23, 297, 416, 23, 91, 967, 309, 23, 449, 23, 91, 25, 904, 308, 91, 30, 92, 30, 91, 30, 92, 30, 91, 30, 92, 490, 291, 1459, 346, 291, 436, 594, 328, 2155, 26, 35, 30, 96, 29, 35, 711, 324, 1459, 463, 264, 309, 23, 449, 23, 91, 967, 330, 904, 308, 8884, 26, 91, 471, 92, 471, 943, 32601, 324, 415, 594, 333, 595, 44, 400, 1459, 463, 101, 23, 314, 25415, 23, 91, 330, 904, 308, 91, 30, 92, 490, 324, 4348, 595, 610, 594, 44, 400, 1459, 463, 101, 23, 38145, 385, 23, 91, 967, 16190, 25, 904, 308, 91, 30, 92, 490, 324, 813, 44, 400, 1459, 463, 101, 23, 639, 350, 23, 91, 967, 309, 23, 449, 23, 91, 25, 904, 308, 91, 30, 92, 30, 91, 30, 92, 490, 291, 1459, 346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 12, 11, 12, 10, 9, 9, 8, 7, 7, 8, 6, 2, 2, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 5, 2, 2, 5, 7, 7, 7, 7, 2, 2, 3, 3, 3, 5, 6, 5, 7, 6, 7, 5, 3, 3, 7, 9, 9, 7, 8, 4, 4, 5, 5, 5, 7, 8, 7, 9, 8, 9, 7, 5, 5, 9, 12, 12, 12, 12, 12, 12, 10, 10, 12, 11, 12, 11, 9, 10, 4, 4, 7, 4, 4, 7, 9, 9, 7, 8, 4, 4, 5, 5, 5, 7, 8, 7, 9, 8, 9, 7, 5, 5, 9, 12, 12, 12, 12, 12, 12, 10, 10, 12, 11, 12, 11, 9, 10, 4, 4, 7, 4, 4, 7, 2, 2, 5, 7, 7, 7, 2, 2, 5, 7, 7, 7, 2, 2, 5, 7, 7, 7, 7, 2, 2, 3, 3, 3, 5, 6, 5, 7, 6, 7, 5, 3, 3, 7, 9, 9, 7, 8, 4, 4, 5, 5, 5, 7, 8, 7, 9, 8, 9, 7, 5, 5, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 11, 12, 11, 9, 10, 4, 4, 7, 4, 4, 7, 9, 9, 7, 8, 4, 4, 5, 5, 5, 7, 8, 7, 9, 8, 9, 7, 5, 5, 7, 8, 8, 7, 7, 7, 11, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 13, 14, 13, 11, 12, 7, 7, 8, 9, 9, 8, 8, 8, 12, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 14, 15, 14, 12, 13, 7, 7, 8, 8, 8, 12, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 14, 15, 14, 12, 13, 4, 4, 7, 4, 4, 7, 2, 2, 5, 7, 7, 7, 7, 2, 2, 5, 7, 7, 7, 2, 2, 5, 7, 7, 7, 7, 7, 2, 2, 3, 3, 3, 5, 6, 5, 7, 6, 7, 5, 3, 3, 5, 5, 5, 7, 8, 7, 9, 8, 9, 7, 5, 5, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 11, 12, 11, 12, 11, 12, 11, 12, 11, 12, 11, 4, 4, 7, 4, 4, 5, 5, 5, 7, 8, 7, 9, 8, 9, 7, 5, 5, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 13, 13, 14, 13, 12, 11, 9, 10, 6, 6, 7, 8, 8, 7, 7, 7, 11, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 13, 14, 13, 7, 7, 8, 9, 9, 8, 8, 8, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 14, 15, 14, 7, 7, 8, 8, 8, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 14, 15, 14, 15, 14, 15, 14, 4, 4, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 3, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 4, 4, 3, 3, 3, 1, 1, 1, 0, 3, 2, 1, 3, 3, 1, 1, 1, 1, 3, 5, 5, 1, 1, 1, 1, 1, 1, 0, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 1, 3, 5, 5, 1, 5, 5, 1, 1, 1, 1, 3, 5, 5, 4, 4, 4, 1, 1, 1, 0, 3, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 1, 3, 5, 5, 1, 5, 5, 1, 4, 4, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 4, 4, 7, 7, 7, 1, 1, 1, 0, 3, 2, 1, 7, 7, 1, 1, 1, 1, 3, 5, 5, 1, 1, 1, 1, 1, 1, 0, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 1, 3, 5, 5, 1, 5, 5, 1, 1, 1, 1, 3, 5, 5, 4, 4, 4, 1, 1, 1, 0, 3, 2, 1, 4, 4, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 1, 3, 0, 0, 4, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 1, 3, 0, 0, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 1, 3, 5, 5, 1, 5, 5, 1, 4, 4, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 4, 4, 11, 11, 11, 1, 1, 1, 0, 3, 2, 1, 11, 11, 0, 0, 0, 1, 1, 1, 0, 3, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 2, 5, 2, 7, 2, 9, 2, 11, 2, 5, 5, 1, 5, 5, 2, 2, 2, 1, 1, 1, 0, 3, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 3, 2, 1, 3, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 1, 1, 4, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 2, 5, 2, 7, 2, 5, 5, 1 ]
[ 1070, 8527, 32, 1199, 32, 3378, 32, 4018, 1188, 10702, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 1199, 32, 3378, 32, 1217, 1188, 16281, 1625, 885, 203, 823, 16281, 1572, 26, 1572, 711, 284, 313, 25936, 10702, 372, 442, 16281, 14176, 6645, 10527, 3107, 284, 793, 81, 979, 81, 10513, 81, 4151, 280, 2933, 284, 665, 622, 81, 1217, 81, 470, 26, 784, 711, 291, 442, 16281, 1625, 885, 26, 784, 32, 1160, 30, 1471, 47, 784, 1114, 1199, 27, 284, 665, 5951, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 371, 81, 1217, 81, 470, 922, 3768, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 39260, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 371, 81, 1217, 81, 470, 922, 36150, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 7901, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 371, 81, 1217, 81, 470, 922, 6174, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 10563, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 371, 81, 1217, 81, 470, 922, 21034, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 7291, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 371, 81, 1217, 81, 470, 922, 8018, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 36805, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 371, 81, 1217, 81, 470, 922, 25021, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 21179, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 371, 81, 1217, 81, 470, 922, 21357, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 21179, 37, 86, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 371, 81, 1217, 81, 470, 922, 21357, 37, 86, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 7650, 81, 100, 3935, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 371, 81, 1217, 81, 470, 922, 5538, 81, 100, 3935, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 12266, 2888, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 371, 81, 1217, 81, 470, 922, 8512, 2888, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 12266, 1260, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 371, 81, 1217, 81, 470, 922, 38409, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 485, 696, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 371, 81, 1217, 81, 470, 922, 41177, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 20877, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 371, 81, 1217, 81, 470, 922, 11232, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 831, 696, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 371, 81, 1217, 81, 470, 922, 93, 696, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 3104, 26, 784, 30, 319, 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 ]
[ 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 9, 8, 9, 7, 7, 8, 10, 9, 10, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 9, 10, 10, 10, 10, 10, 9, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 9, 10, 10, 10, 10, 10, 9, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 9, 10, 10, 10, 10, 10, 9, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 9, 10, 10, 10, 10, 10, 9, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 9, 10, 10, 10, 10, 10, 9, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 9, 10, 10, 10, 10, 10, 9, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 9, 10, 10, 10, 10, 10, 9, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 9, 10, 10, 10, 10, 10, 9, 8, 8, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 9, 10, 10, 10, 10, 10, 9, 8, 8, 8, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 9, 10, 10, 10, 10, 10, 9, 8, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 9, 10, 10, 10, 10, 10, 9, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 9, 10, 10, 10, 10, 10, 9, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 9, 10, 10, 10, 10, 10, 9, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 9, 10, 10, 10, 10, 10, 9, 8, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 0, 2, 2, 1, 4, 4, 3, 2, 1, 2, 2, 1, 2, 2, 1, 2, 3, 3, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 4, 2, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 5, 2, 1, 2, 2, 1, 2, 2, 1, 2, 5, 5, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 6, 2, 1, 2, 2, 1, 2, 2, 1, 2, 6, 6, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 7, 2, 1, 2, 2, 1, 2, 2, 1, 2, 7, 7, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 8, 2, 1, 2, 2, 1, 2, 2, 1, 2, 8, 8, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 9, 2, 1, 2, 2, 1, 2, 2, 1, 2, 9, 9, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 10, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 10, 10, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 11, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 11, 11, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 12, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 12, 12, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 13, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 13, 13, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 14, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 14, 14, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 15, 2, 1, 2, 2, 1, 2, 2, 1, 2, 15, 15, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 16, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 16, 16, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 17, 2, 1, 2, 2, 1, 2 ]
[ 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 81, 10629, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 1070, 420, 25361, 1188, 14735, 203, 1070, 420, 25361, 1188, 10548, 203, 1070, 420, 25361, 1188, 10343, 203, 1070, 420, 25361, 32, 2304, 1188, 31436, 203, 1070, 420, 25361, 1188, 35761, 203, 1070, 2156, 3034, 81, 7854, 1188, 4125, 203, 1070, 2156, 3034, 81, 7854, 32, 44790, 32, 2250, 32, 24770, 766, 284, 1188, 10548, 619, 2074, 81, 8538, 203, 1070, 2156, 3034, 81, 7854, 32, 44790, 32, 2250, 32, 24770, 32, 11170, 766, 284, 1188, 10343, 619, 2601, 81, 11278, 203, 1070, 2156, 3034, 81, 7854, 32, 44790, 32, 2250, 32, 24770, 32, 19838, 101, 766, 284, 1188, 10343, 619, 20072, 81, 11278, 203, 1070, 2156, 3034, 81, 7854, 32, 44790, 32, 2250, 32, 24770, 766, 284, 1188, 10343, 619, 2074, 81, 11278, 203, 1070, 2156, 3034, 81, 7854, 32, 44790, 32, 2250, 32, 24770, 766, 284, 1188, 35761, 619, 2074, 81, 23829, 203, 823, 6422, 1074, 26, 11278, 32, 18864, 1074, 711, 284, 1858, 81, 823, 280, 2074, 81, 11278, 32, 32549, 1599, 284, 3079, 81, 426, 280, 330, 2250, 33, 24770, 33, 1055, 32, 916, 25, 284, 1938, 81, 1311, 280, 26155, 32549, 657, 284, 665, 622, 81, 605, 26, 784, 711, 291, 1596, 44, 324, 17086, 81, 314, 280, 630, 32, 1357, 32, 496, 32, 15213, 81, 314, 324, 17679, 280, 4125, 32, 941, 33367, 32, 4573, 81, 668, 81, 979, 81, 15213, 26, 784, 32, 1357, 30, 32248, 17086, 81, 314, 27, 291, 2940, 3268, 44, 324, 17679, 280, 1605, 324, 3124, 280, 30121, 4711, 1149, 883, 646, 526, 19210, 11834, 324, 14735, 32, 2956, 26, 784, 32, 1357, 30, 3124, 27, 291, 442, 17679, 203, 823, 2648, 1074, 26, 23829, 32, 11199, 1074, 711, 284, 10153, 81, 823, 280, 2074, 81, 23829, 32, 1922, 4711, 284, 20297, 81, 2387, 81, 426, 280, 330, 2250, 33, 24770, 33, 1297, 32, 916, 25, 203, 823, 4000, 1074, 26, 8538, 32, 5824, 1241, 1074, 711, 284, 1619, 81, 1473, 81, 426, 280, 330, 4573, 25, 284, 2234, 81, 823, 280, 2074, 81, 8538, 32, 2333, 4711, 284, 2234, 81, 314, 280, 313, 1877, 81, 4573, 81, 599, 20, 284, 10796, 81, 2111, 280, 26155, 3579, 8159, 657, 284, 6465, 81, 1172, 280, 26155, 5126, 14013, 657, 284, 6465, 81, 965, 280, 313, 46305, 44, 2250, 44, 24770, 44, 1877, 20, 284, 3117, 81, 965, 280, 10156, 81, 10629, 440, 46305, 44, 2250, 44, 24770, 44, 1055, 657, 284, 3079, 81, 426, 280, 330, 2250, 33, 24770, 33, 1877, 32, 916, 25, 284, 1938, 81, 1311, 280, 26155, 2333, 8159, 657, 284, 665, 622, 81, 1819, 81, 605, 26, 784, 30, 1115, 5321, 711, 291, 1619, 280, 2599, 26, 2333, 1074, 30, 630, 547, 371, 81, 1819, 81, 605, 14605, 5321, 27, 291, 2181, 280, 308, 784, 32, 5321, 710, 4573, 81, 314, 2188, 27, 291, 1619, 1365, 4573, 81, 314, 1446, 280, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 1, 2, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 5, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 9, 9, 8, 8, 11, 12, 10, 11, 9, 10, 10, 10, 6, 6, 8, 8, 11, 12, 12, 10, 11, 11, 11, 11, 11, 11, 11, 10, 12, 11, 12, 10, 10, 10, 11, 11, 10, 5, 5, 6, 6, 6, 6, 9, 9, 7, 7, 9, 9, 13, 13, 13, 13, 13, 13, 13, 7, 7, 10, 11, 10, 12, 11, 12, 10, 10, 10, 4, 4, 5, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 5, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 5, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 8, 8, 8, 2, 2, 5, 5, 4, 4, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 6, 4, 3, 3, 6, 6, 10, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 10, 8, 4, 4, 6, 6, 10, 9, 10, 8, 10, 10, 10, 10, 7, 4, 4, 7, 9, 9, 9, 9, 6, 6 ]
[ 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 0, 0, 8, 8, 0, 9, 9, 0, 0, 0, 1, 2, 1, 4, 1, 6, 9, 2, 9, 9, 4, 4, 2, 2, 0, 10, 10, 0, 0, 0, 1, 2, 1, 4, 1, 6, 1, 8, 10, 2, 10, 10, 4, 4, 2, 2, 0, 11, 11, 0, 0, 0, 1, 2, 1, 4, 1, 6, 1, 8, 8, 11, 2, 11, 11, 4, 4, 2, 2, 0, 12, 12, 0, 0, 0, 1, 2, 1, 4, 1, 6, 12, 2, 12, 12, 4, 4, 2, 2, 0, 13, 13, 0, 0, 0, 1, 2, 1, 4, 1, 6, 13, 2, 13, 13, 4, 4, 2, 2, 0, 14, 14, 1, 2, 0, 1, 2, 2, 2, 14, 14, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 3, 3, 1, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 1, 0, 15, 15, 1, 2, 0, 1, 2, 2, 2, 15, 15, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 16, 16, 1, 2, 0, 1, 2, 2, 2, 2, 16, 16, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 9, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 9, 9, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0 ]
[ 465, 316, 203, 465, 2322, 203, 465, 831, 41895, 203, 465, 6436, 619, 310, 203, 465, 19571, 203, 589, 11760, 6009, 26, 846, 30, 13720, 711, 284, 310, 280, 2069, 26, 846, 27, 284, 831, 280, 629, 26, 1497, 26, 96, 8088, 1808, 26, 11650, 4165, 35, 34, 34, 4165, 36, 490, 284, 442, 310, 32, 6009, 26, 846, 77, 93, 29, 35, 44, 96, 31, 93, 1130, 203, 974, 280, 831, 41895, 32, 974, 203, 1644, 280, 831, 41895, 32, 1644, 203, 2273, 280, 831, 41895, 32, 2273, 203, 1501, 81, 891, 280, 831, 41895, 32, 1501, 81, 891, 203, 44855, 280, 2149, 203, 979, 4870, 328, 2322, 32, 26366, 6824, 37015, 7831, 203, 202, 605, 280, 316, 32, 2998, 14728, 370, 3607, 27, 203, 202, 106, 280, 629, 26, 605, 77, 34, 1130, 203, 202, 107, 280, 629, 26, 605, 77, 35, 1130, 203, 202, 88, 280, 2156, 6824, 37015, 26565, 3607, 27, 203, 202, 979, 1628, 328, 296, 44, 357, 202, 850, 280, 1628, 32, 2998, 346, 357, 202, 325, 2069, 26, 850, 19162, 37, 461, 1491, 77, 34, 79, 610, 1491, 77, 35, 2786, 355, 202, 4229, 280, 1491, 77, 34, 79, 355, 202, 325, 1491, 77, 36, 79, 863, 40496, 603, 202, 19266, 280, 629, 26, 850, 77, 36, 997, 7201, 1157, 603, 202, 325, 6424, 328, 540, 24328, 44, 577, 202, 44855, 77, 4229, 1674, 106, 1674, 107, 997, 1689, 26, 19266, 27, 603, 202, 1824, 44, 577, 202, 325, 6424, 863, 313, 38, 42, 44, 39, 83, 44, 37, 88, 44, 38, 39, 44, 36, 35, 44, 34, 88, 563, 21556, 202, 846, 280, 3813, 1178, 436, 617, 328, 2155, 26, 35497, 93, 32, 106, 2177, 436, 617, 328, 2155, 26, 35497, 93, 32, 107, 2177, 1379, 202, 44855, 32, 1877, 1371, 4229, 44, 846, 1748, 1379, 202, 44855, 77, 4229, 1674, 106, 1674, 107, 997, 1689, 26, 19266, 27, 203, 37015, 280, 2149, 203, 979, 6424, 328, 540, 24328, 44, 203, 202, 10074, 280, 3813, 2521, 436, 617, 328, 2155, 26, 35497, 93, 32, 106, 2177, 436, 617, 328, 2155, 26, 35497, 93, 32, 107, 2177, 203, 202, 979, 816, 328, 2155, 26, 1657, 26, 44855, 77, 4229, 5259, 44, 357, 202, 979, 533, 328, 2155, 26, 1657, 26, 44855, 77, 4229, 1674, 106, 5259, 44, 355, 202, 94, 280, 540, 24328, 77, 4229, 1674, 106, 1674, 107, 79, 355, 202, 325, 2069, 26, 94, 27, 848, 225, 34, 44, 603, 202, 10074, 77, 106, 1674, 107, 79, 280, 310, 32, 6009, 26, 94, 27, 203, 202, 37015, 32, 1877, 1371, 4229, 44, 10074, 1748, 203, 88, 10118, 81, 761, 280, 2156, 26, 100, 25, 37015, 32, 30105, 370, 330, 12108, 683, 203, 24088, 32, 5937, 26, 37015, 30, 43648, 81, 761, 27, 203, 88, 10118, 81, 761, 32, 2679, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 8, 8, 11, 10, 14, 14, 15, 14, 13, 13, 13, 11, 10, 8, 2, 2, 3, 5, 6, 5, 7, 6, 9, 8, 9, 7, 9, 8, 9, 6, 0, 3, 2, 2, 4, 3, 4, 0, 3, 2, 2, 4, 3, 4, 0, 3, 2, 2, 4, 3, 4, 0, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 0, 3, 2, 2, 0, 1, 1, 1, 1, 3, 4, 3, 5, 5, 1, 1, 5, 4, 4, 6, 7, 6, 8, 7, 6, 2, 2, 5, 4, 4, 6, 8, 7, 8, 7, 2, 2, 5, 4, 4, 6, 8, 7, 8, 7, 2, 2, 5, 4, 4, 6, 9, 9, 8, 6, 2, 2, 3, 3, 3, 3, 3, 3, 3, 7, 6, 6, 8, 9, 8, 4, 4, 5, 5, 9, 10, 9, 8, 6, 6, 8, 9, 8, 7, 7, 8, 9, 8, 5, 5, 9, 8, 8, 9, 10, 9, 6, 6, 7, 7, 9, 10, 9, 8, 8, 7, 7, 11, 10, 10, 12, 16, 15, 16, 15, 15, 14, 8, 8, 9, 9, 10, 10, 11, 9, 9, 9, 17, 16, 17, 16, 16, 15, 15, 14, 14, 13, 14, 13, 9, 9, 10, 10, 10, 10, 12, 12, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 12, 16, 15, 15, 18, 17, 18, 18, 18, 20, 22, 22, 21, 22, 20, 16, 17, 17, 17, 19, 21, 21, 20, 21, 19, 13, 13, 17, 16, 17, 16, 19, 18, 19, 17, 13, 13, 20, 19, 20, 19, 19, 18, 18, 17, 17, 16, 17, 16, 0, 3, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 5, 4, 4, 7, 6, 7, 7, 7, 9, 11, 11, 10, 11, 9, 5, 6, 6, 6, 8, 10, 10, 9, 10, 8, 2, 2, 3, 3, 3, 3, 5, 7, 7, 9, 8, 9, 8, 3, 3, 3, 5, 5, 5, 5, 7, 9, 9, 12, 11, 12, 11, 11, 10, 5, 5, 5, 9, 8, 8, 12, 11, 12, 11, 11, 10, 10, 9, 6, 6, 7, 7, 10, 11, 10, 8, 8, 9, 7, 7, 7, 13, 12, 13, 12, 12, 11, 10, 10, 12, 13, 12, 13, 12, 2, 2, 6, 5, 6, 5, 8, 7, 8, 6, 0, 3, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 0, 4, 3, 4, 3, 4, 3, 3, 4, 4, 3, 0, 4, 4, 4, 4, 3, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 1, 1, 0, 4, 4, 0, 5, 5, 1, 2, 1, 2, 2, 2, 5, 5, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 4, 4, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 11, 11, 11, 11, 0, 2, 1, 1, 2, 11, 11, 0, 0, 0, 0, 2, 1, 2, 3, 1, 5, 5, 0, 0, 0, 1, 0, 1, 2, 1, 5, 5, 0, 0, 0, 1, 0, 1, 2, 1, 5, 5, 0, 0, 0, 1, 1, 1, 2, 1, 5, 5, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 2, 1, 5, 5, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 3, 3, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 3, 3, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 13, 13, 13, 13, 3, 13, 13, 13, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 203, 465, 6436, 619, 2065, 203, 465, 12643, 619, 6121, 203, 1070, 18414, 1188, 8616, 30, 36580, 203, 465, 12500, 619, 48499, 203, 465, 12500, 32, 17449, 619, 5743, 203, 1070, 638, 6173, 32, 25931, 1188, 802, 81, 2516, 203, 1070, 638, 1188, 8745, 203, 1070, 638, 1188, 17240, 619, 29299, 203, 1070, 638, 4535, 730, 1592, 1188, 1963, 81, 17419, 203, 589, 273, 419, 2499, 26, 605, 30, 1133, 47, 2521, 30, 4201, 47, 2521, 30, 3700, 47, 2521, 30, 786, 47, 2521, 30, 2607, 1137, 81, 1621, 347, 1871, 81, 11099, 392, 13915, 47, 40, 42, 30, 36580, 47, 1815, 30, 1963, 47, 2521, 30, 2607, 37993, 47, 2356, 32, 6009, 30, 310, 81, 3608, 47, 39, 34, 34, 34, 30, 1137, 81, 17419, 47, 2521, 30, 1137, 81, 93, 3604, 47, 2521, 30, 2607, 18910, 47, 1815, 30, 3327, 47, 2521, 30, 1115, 5321, 711, 284, 415, 3327, 438, 1665, 44, 291, 3327, 280, 5743, 32, 89, 1173, 346, 284, 415, 1137, 81, 93, 3604, 438, 1665, 44, 291, 1137, 81, 93, 3604, 280, 2149, 284, 415, 6937, 26, 605, 30, 6121, 32, 11364, 711, 291, 816, 1172, 280, 1133, 291, 533, 1172, 280, 786, 291, 415, 3700, 438, 1665, 44, 324, 3700, 280, 6121, 32, 9273, 26, 2356, 32, 5783, 26, 1657, 26, 605, 2610, 324, 18910, 280, 3177, 324, 18910, 81, 426, 280, 1665, 324, 310, 81, 1328, 280, 225, 35, 291, 813, 44, 324, 18910, 280, 2933, 461, 18910, 324, 18910, 81, 426, 280, 3700, 324, 310, 81, 1328, 280, 2069, 26, 605, 77, 4742, 997, 5665, 1157, 284, 813, 44, 291, 706, 280, 2065, 32, 26742, 26, 605, 27, 291, 415, 706, 32, 29704, 610, 225, 35, 44, 324, 706, 280, 706, 77, 2356, 32, 890, 5082, 30, 21367, 2065, 32, 890, 5082, 79, 291, 4348, 706, 32, 29704, 610, 225, 36, 44, 324, 706, 280, 706, 6894, 21367, 2065, 32, 890, 5082, 79, 291, 310, 81, 2243, 30, 310, 81, 1003, 30, 310, 81, 1328, 280, 706, 32, 3229, 291, 415, 4201, 438, 1665, 44, 324, 9991, 280, 2065, 32, 16251, 26, 96, 81, 2243, 27, 291, 4201, 280, 313, 2243, 20, 291, 9991, 280, 2065, 32, 8101, 26, 9660, 30, 310, 81, 1003, 319, 310, 81, 1328, 27, 291, 533, 1172, 280, 1665, 291, 415, 1133, 438, 1665, 44, 324, 6496, 280, 2065, 32, 16251, 26, 96, 81, 1003, 27, 291, 813, 44, 324, 6496, 280, 2065, 32, 26742, 26, 1003, 27, 291, 816, 1172, 280, 1665, 291, 415, 19326, 26, 1003, 30, 313, 426, 10280, 324, 816, 1172, 280, 1133, 32, 426, 291, 1133, 280, 313, 1003, 20, 291, 6496, 280, 2065, 32, 8336, 26, 2356, 32, 8101, 26, 5571, 30, 310, 81, 1328, 471, 310, 81, 2243, 27, 291, 415, 3700, 438, 1665, 44, 324, 457, 3210, 280, 2155, 26, 96, 81, 1328, 27, 324, 18910, 280, 3177, 324, 415, 6937, 26, 1489, 30, 5436, 711, 400, 1137, 280, 313, 11387, 1159, 3700, 4467, 415, 1471, 1963, 5436, 3107, 400, 3636, 10091, 26, 530, 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, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 2, 4, 4, 3, 5, 5, 5, 5, 2, 3, 4, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 2, 3, 5, 4, 5, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 4, 3, 4, 2, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 4, 2, 1, 1, 3, 4, 4, 3, 3, 3, 6, 6, 8, 9, 9, 8, 2, 2, 3, 5, 5, 5, 4, 4, 3, 3, 3, 7, 7, 7, 6, 6, 2, 2, 3, 5, 6, 5, 5, 6, 7, 5, 3, 3, 7, 6, 6, 4, 4, 7, 6, 6, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 10, 11, 10, 13, 12, 13, 12, 14, 14, 15, 14, 6, 6, 8, 8, 6, 6, 9, 9, 8, 8, 6, 6, 9, 9, 8, 8, 9, 5, 5, 6, 6, 6, 9, 9, 10, 10, 7, 7, 10, 10, 9, 9, 7, 7, 10, 10, 9, 9, 11, 15, 14, 15, 14, 14, 13, 3, 3, 4, 4, 4, 7, 7, 9, 10, 9, 10, 9, 5, 5, 6, 8, 9, 7, 7, 8, 6, 6, 6, 9, 9, 10, 12, 11, 12, 12, 10, 10, 10, 11, 12, 12, 10, 6, 6, 7, 9, 10, 8, 8, 9, 7, 7, 7, 10, 10, 11, 11, 11, 12, 13, 13, 11, 5, 5, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 7, 7, 8, 9, 5, 5, 6, 7, 7, 6, 6, 6, 9, 9, 11, 12, 11, 12, 12, 12, 11, 5, 5, 7, 7, 9, 9, 5, 5, 7, 7, 9, 10, 9, 10, 9, 9, 11, 11, 10, 10, 11, 11, 9, 5, 5, 8, 7, 7, 5, 5, 6, 7, 7, 6, 6, 6, 9, 9, 11, 12, 11, 12, 12, 12, 11, 6, 6, 7, 7, 7, 10, 10, 12, 13, 12, 13, 12, 5, 5, 8, 7, 7, 5, 5, 6, 8, 9, 8, 8, 10, 10, 6, 6, 10, 9, 9, 10, 11, 5, 5, 7, 7, 9, 9, 5, 5, 7, 7, 9, 10, 9, 12, 11, 12, 11, 12, 11, 11, 12, 12, 11, 9, 10, 10, 9, 5, 5, 6, 7, 7, 6, 6, 6, 10, 9, 9, 11, 12, 12, 12, 11, 7, 7, 9, 9, 7, 7, 8, 10, 11, 10, 10, 10, 8, 8, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 9, 9, 10, 12, 13, 12 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 3, 3, 3, 3, 0, 4, 4, 1, 1, 0, 5, 5, 0, 2, 1, 1, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 7, 7, 7, 7, 0, 8, 8, 8, 8, 3, 3, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 10, 10, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 2, 0, 0, 11, 1, 1, 1, 2, 2, 13, 2, 2, 2, 2, 15, 2, 2, 2, 17, 2, 2, 2, 2, 19, 0, 2, 2, 2, 2, 0, 0, 21, 2, 2, 2, 2, 2, 2, 0, 0, 23, 2, 2, 2, 0, 0, 0, 25, 2, 2, 2, 2, 27, 2, 2, 2, 29, 2, 2, 2, 1, 2, 10, 10, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 1, 3, 2, 1, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 2, 2, 2, 4, 4, 4, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 1, 1, 4, 0, 2, 1, 1, 2, 4, 4, 4, 0, 0, 2, 2, 2, 6, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 2, 3, 1, 1, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 3, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 7, 1, 1, 7, 7, 7, 0, 0, 0, 2, 1, 1, 1, 1, 1, 7, 7, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 9, 1, 1, 1, 1, 1, 2, 9, 9, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 2, 2, 12, 1, 1, 12, 12, 12, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 3, 3, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1 ]
[ 465, 316, 30, 1133, 30, 3995, 203, 1070, 3089, 749, 98, 1188, 4125, 203, 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, 5741, 203, 81, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 3497, 81, 10969, 26, 500, 104, 32, 500, 104, 711, 284, 617, 6815, 280, 330, 3524, 32, 10969, 25, 284, 477, 1237, 32, 2446, 81, 1890, 81, 1819, 284, 665, 617, 371, 81, 3576, 81, 681, 26, 784, 30, 6213, 30, 1256, 30, 1619, 47, 2521, 711, 291, 736, 280, 2599, 26, 3524, 81, 10969, 30, 630, 42690, 371, 81, 3576, 81, 681, 26, 7017, 30, 1256, 30, 400, 1619, 47, 1819, 27, 291, 736, 9532, 91, 436, 595, 30, 106, 328, 10703, 26, 575, 27, 415, 816, 77, 34, 79, 610, 330, 4108, 8150, 34, 3212, 280, 2726, 4108, 370, 330, 7016, 29153, 683, 291, 736, 32, 1689, 39109, 40558, 370, 330, 5106, 51, 10791, 4033, 29153, 2847, 291, 442, 736, 284, 665, 1505, 81, 2882, 329, 418, 95, 26, 784, 30, 909, 711, 291, 5420, 81, 13000, 280, 330, 34, 31, 43, 29, 1958, 330, 291, 5257, 280, 316, 32, 6993, 463, 12456, 25, 474, 5420, 81, 13000, 474, 330, 26392, 291, 415, 5257, 32, 32852, 26, 695, 556, 330, 7831, 324, 442, 3177, 291, 18568, 329, 418, 95, 280, 316, 32, 1113, 9442, 54, 370, 2550, 909, 556, 9142, 291, 415, 2069, 26, 2882, 329, 418, 95, 27, 610, 225, 35, 36, 44, 324, 1695, 280, 629, 26, 2882, 329, 418, 95, 2867, 35, 34, 1130, 324, 2047, 280, 1695, 904, 225, 43, 41, 556, 225, 43, 41, 324, 415, 2047, 610, 629, 26, 2882, 329, 418, 95, 6448, 36, 10056, 711, 400, 442, 2933, 291, 442, 3177, 284, 665, 617, 1553, 81, 29894, 26, 784, 30, 5564, 30, 12373, 30, 9668, 711, 291, 436, 4691, 328, 630, 32, 14304, 26, 2446, 30, 12373, 30, 9668, 711, 324, 415, 4691, 32, 3576, 81, 681, 610, 330, 40558, 950, 400, 442, 630, 32, 1553, 81, 2882, 329, 418, 95, 26, 5817, 32, 3576, 27, 291, 442, 2933, 284, 665, 43398, 81, 15699, 81, 314, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 827, 30, 25253, 81, 314, 30, 1014, 2340, 81, 10969, 47, 2700, 30, 11837, 81, 3890, 47, 2700, 30, 1014, 25253, 81, 8914, 81, 314, 47, 2700, 30, 10512, 81, 314, 47, 2700, 30, 1014, 1619, 47, 2521, 711, 291, 1056, 280, 2599, 26, 3524, 81, 10969, 30, 630, 547, 267, 2342, 81, 15699, 81, 314, 26, 2446, 30, 12373, 30, 9668, 30, 827, 30, 25253, 81, 314, 30, 324, 2340, 81, 10969, 30, 11837, 81, 3890, 30, 25253, 81, 8914, 81, 314, 30, 10512, 81, 314, 30, 1619, 27, 291, 4121, 280, 3177, 291, 4121, 81, 681, 280, 330, 4108, 25, 291, 415, 25253, 81, 314, 44, 324, 415, 308, 681, 610, 330, 541, 81, 10969, 7831, 400, 4121, 81, 681, 280, 630, 32, 5178, 32, 371, 463, 575, 32, 15699, 1814, 14304, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 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, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 6, 5, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 7, 5, 4, 4, 7, 7, 11, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 10, 9, 10, 9, 9, 9, 9, 9, 10, 11, 9, 5, 5, 8, 11, 10, 11, 12, 13, 11, 11, 13, 14, 13, 10, 11, 13, 14, 13, 12, 12, 14, 14, 10, 9, 7, 7, 10, 10, 8, 10, 10, 10, 5, 5, 8, 9, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 5, 5, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 8, 9, 8, 12, 12, 10, 10, 11, 11, 9, 9, 11, 4, 4, 5, 7, 8, 7, 9, 8, 8, 10, 5, 5, 7, 4, 4, 7, 7, 7, 6, 6, 8, 9, 8, 10, 10, 8, 8, 9, 9, 4, 4, 5, 8, 9, 9, 9, 9, 8, 6, 6, 7, 7, 5, 5, 5, 8, 8, 10, 12, 12, 12, 12, 11, 13, 13, 11, 6, 6, 8, 8, 10, 10, 11, 11, 9, 9, 10, 10, 6, 6, 7, 8, 8, 10, 12, 12, 12, 12, 11, 14, 12, 10, 7, 7, 9, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 7, 8, 7, 8, 7, 7, 7, 7, 7, 5, 5, 7, 9, 10, 10, 10, 8, 8, 10, 10, 7, 7, 9, 11, 12, 12, 12, 12, 12, 12, 11, 13, 12, 13, 11, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 10, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 9, 9, 8, 8, 9, 9, 8, 8, 8, 4, 4, 6, 6, 4, 4, 7, 7, 6, 6, 8, 8, 4, 4, 5, 6, 6, 5, 5, 5, 7, 10, 9, 9, 11, 11, 11, 11, 7, 7, 11, 11, 10, 10, 16, 17, 15, 16, 15, 17, 17, 17, 17, 14, 13 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 6, 6, 1, 1, 2, 0, 0, 1, 2, 2, 2, 6, 6, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 4, 4, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 3, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 4, 4, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 5, 5, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 4, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 4, 4, 5, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 11, 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, 0, 0, 19, 2, 2, 2, 2, 21, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 1, 1, 1, 11, 11, 1, 1, 13, 13, 1, 1, 15, 15, 15, 15, 1, 1, 17, 17, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 7976, 81, 465, 30, 1459, 81, 1126, 203, 465, 6436, 619, 2065, 203, 1070, 6436, 1188, 456, 19218, 30, 2099, 682, 30, 1897, 40, 38, 30, 1417, 30, 8057, 30, 27224, 203, 1070, 6436, 32, 4266, 1188, 308, 284, 19205, 30, 1420, 81, 1647, 81, 9089, 30, 1201, 81, 2228, 30, 1201, 81, 955, 81, 2228, 30, 284, 1201, 81, 955, 81, 37368, 81, 2228, 30, 1201, 81, 955, 81, 2274, 203, 27, 203, 100, 2649, 280, 225, 35, 203, 823, 2108, 15201, 26, 7233, 711, 284, 665, 894, 81, 47950, 81, 1832, 26, 784, 30, 3193, 47, 100, 2649, 711, 291, 540, 5319, 280, 1417, 2009, 35, 32, 34, 37, 36, 36, 35, 35, 40, 42, 87, 29, 34, 36, 474, 225, 34, 32, 92, 30, 3486, 429, 35, 32, 43, 35, 42, 38, 37, 40, 34, 37, 87, 29, 34, 35, 474, 225, 34, 32, 92, 30, 3486, 429, 40, 32, 34, 38, 34, 34, 38, 39, 36, 40, 87, 31, 34, 35, 474, 225, 35, 39, 32, 42, 38, 38, 36, 36, 38, 41, 38, 92, 30, 3486, 429, 40, 32, 34, 38, 34, 34, 38, 39, 36, 40, 87, 31, 34, 35, 429, 225, 35, 39, 32, 42, 38, 38, 36, 36, 38, 41, 38, 92, 30, 3486, 429, 35, 32, 35, 37, 40, 43, 36, 43, 36, 43, 87, 29, 34, 35, 474, 225, 34, 32, 92, 30, 3486, 429, 40, 32, 39, 41, 40, 35, 36, 38, 42, 39, 87, 31, 34, 35, 474, 225, 35, 34, 32, 38, 35, 41, 39, 39, 39, 34, 37, 92, 30, 3486, 429, 40, 32, 39, 41, 40, 35, 36, 38, 42, 39, 87, 31, 34, 35, 429, 225, 35, 34, 32, 38, 35, 41, 39, 39, 39, 34, 37, 92, 30, 2855, 35, 32, 42, 36, 35, 36, 40, 42, 35, 36, 87, 29, 34, 35, 474, 225, 34, 32, 92, 30, 2855, 35, 32, 34, 40, 34, 35, 35, 34, 35, 38, 87, 29, 34, 35, 474, 225, 34, 32, 92, 30, 2855, 41, 32, 42, 34, 41, 37, 36, 41, 41, 37, 87, 29, 34, 34, 474, 225, 34, 32, 92, 30, 3486, 429, 41, 32, 40, 39, 37, 43, 34, 42, 43, 42, 87, 31, 34, 35, 474, 225, 34, 32, 92, 30, 2855, 35, 32, 39, 35, 43, 41, 35, 39, 39, 39, 87, 31, 35, 39, 474, 225, 34, 32, 92, 30, 3486, 429, 35, 32, 39, 35, 37, 34, 42, 41, 35, 37, 87, 31, 35, 39, 474, 225, 34, 32, 92, 1130, 291, 312, 280, 2099, 682, 26, 35, 37, 319, 225, 35, 37, 30, 9710, 47, 1808, 40, 38, 27, 291, 312, 32, 3229, 280, 308, 35, 37, 30, 225, 35, 37, 27, 291, 312, 280, 312, 904, 225, 35, 41, 291, 13082, 30, 5292, 280, 456, 19218, 32, 47950, 26, 83, 27, 291, 13082, 32, 3323, 346, 291, 540, 5319, 32, 3323, 346, 291, 1201, 81, 955, 81, 37368, 81, 2228, 26, 5319, 30, 540, 5319, 27, 284, 665, 894, 81, 87 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 0, 3, 3, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 6, 4, 3, 3, 7, 6, 6, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 11, 11, 11, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 11, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 11, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 11, 11, 11, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 11, 11, 11, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 11, 9, 4, 4, 6, 6, 8, 8, 10, 10, 9, 9, 10, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 8, 8, 7, 7, 8, 8, 7, 4, 4, 6, 6, 7, 7, 8, 8, 4, 4, 7, 7, 6, 6, 9, 8, 9, 8, 9, 8, 4, 4, 7, 8, 7, 4, 4, 8, 7, 8, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 8, 7, 2, 2, 3, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 2, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 11, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 13, 13, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 15, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 17, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 19, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 21, 21, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23, 23, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 25, 25, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 1, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1 ]
[ 823, 3081, 26, 984, 711, 203, 823, 2768, 1553, 924, 26, 924, 30, 12678, 711, 203, 823, 22931, 924, 26, 924, 711, 203, 823, 2680, 924, 26, 924, 711, 203, 823, 8073, 750, 924, 26, 924, 711, 203, 823, 29153, 924, 26, 924, 711, 203, 823, 4688, 924, 26, 26367, 924, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1789, 30, 1795, 30, 1984, 30, 353, 1411, 81, 1163, 47, 2521, 30, 1326, 47, 2521, 711, 291, 2599, 26, 2217, 924, 30, 630, 14585, 1664, 16369, 291, 630, 32, 1986, 280, 1789, 291, 630, 32, 1286, 280, 1795, 291, 630, 32, 965, 280, 1984, 291, 630, 32, 1959, 81, 1163, 280, 1411, 81, 1163, 291, 630, 32, 1357, 280, 1326, 284, 665, 1156, 466, 3207, 784, 711, 291, 1795, 280, 630, 32, 1286, 291, 415, 6937, 26, 1286, 30, 3519, 711, 324, 1795, 280, 630, 32, 1286, 32, 5460, 463, 14510, 370, 330, 3227, 683, 291, 442, 330, 2217, 924, 23969, 15978, 101, 4235, 1789, 44, 15978, 101, 2717, 1795, 15978, 101, 6457, 904, 308, 324, 630, 32, 965, 30, 630, 32, 1986, 30, 1795, 27, 284, 477, 2433, 284, 665, 2287, 81, 687, 26, 784, 711, 291, 442, 629, 26, 784, 32, 1986, 710, 1517, 3490, 284, 477, 17614, 284, 665, 8649, 1397, 26, 6933, 30, 1913, 81, 1986, 711, 291, 442, 9011, 26, 525, 81, 1986, 32, 1338, 30, 1913, 81, 1986, 32, 1286, 30, 4511, 1913, 81, 1986, 32, 1357, 81, 965, 27, 203, 823, 8073, 1240, 1612, 924, 26, 3817, 750, 924, 711, 203, 823, 8073, 750, 1792, 21117, 26, 3817, 750, 924, 30, 29153, 924, 711, 203, 823, 15654, 924, 26, 924, 711, 203, 823, 8145, 924, 26, 924, 711, 203, 823, 13048, 1486, 924, 26, 924, 711, 203, 823, 8145, 22239, 26, 1240, 924, 711, 203, 823, 6287, 28760, 924, 26, 924, 711, 203, 823, 34627, 924, 26, 924, 711, 203, 823, 17844, 924, 26, 26367, 924, 711, 203, 823, 17844, 12355, 924, 26, 8573, 924, 711, 203, 823, 17844, 3817, 924, 26, 8573, 924, 711, 203, 823, 4448, 924, 26, 26367, 924, 711, 203, 823, 27507, 5125, 924, 26, 2217, 924, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1789, 30, 1795, 30, 1984, 30, 11322, 81, 5483, 711, 291, 2599, 26, 12355, 5125, 924, 30, 630, 14585, 1664, 3207, 1986, 30, 1795, 30, 1984, 27, 291, 630, 32, 13558, 81, 5483, 280, 629, 26, 13558, 81, 5483, 27, 284, 477, 17614, 284, 665, 8649, 1397, 26, 6933, 30, 1913, 81, 1986, 711, 291, 442, 9011, 26, 525, 81, 1986, 32, 1338, 30, 1913, 81, 1986, 32, 1286, 30, 4511, 1913, 81, 1986, 32, 1357, 81, 965, 30, 1913, 81, 1986, 32, 13558, 81, 5483, 27, 203, 823, 11074, 8693, 924, 26, 2217, 924, 711, 203, 823, 3182, 75, 364, 12523, 924, 26, 6533, 1486, 924, 711, 203, 823, 7537, 571, 44532, 26, 924, 711, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 2, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 0, 1, 1, 2, 2, 3, 2, 0, 1, 1, 2, 2, 3, 2, 0, 1, 1, 2, 2, 2, 3, 2, 0, 1, 1, 2, 2, 3, 2, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 4, 4, 5, 7, 8, 7, 7, 7, 5, 5, 8, 8, 11, 12, 10, 11, 10, 12, 12, 10, 12, 12, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 11, 10, 11, 9, 11, 11, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 6, 8, 10, 10, 10, 9, 10, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 0, 1, 1, 2, 2, 3, 2, 0, 1, 1, 2, 2, 3, 2, 0, 1, 1, 2, 2, 2, 3, 2, 0, 1, 1, 2, 2, 3, 3, 2, 0, 1, 1, 2, 2, 2, 3, 2, 0, 1, 1, 2, 2, 3, 2, 0, 1, 1, 2, 2, 3, 3, 2, 0, 1, 1, 2, 2, 2, 3, 3, 2, 0, 1, 1, 2, 2, 2, 3, 3, 2, 0, 1, 1, 2, 2, 3, 3, 2, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 6, 8, 10, 10, 10, 9, 10, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 0, 1, 1, 2, 2, 2, 3, 3, 2, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 3, 3, 1, 2, 1, 2, 0, 4, 4, 1, 1, 2, 1, 2, 0, 5, 5, 1, 2, 1, 2, 0, 6, 6, 1, 2, 1, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 11, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 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, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 3, 2, 2, 2, 2, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 4, 4, 1, 3, 3, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 0, 7, 7, 1, 1, 1, 2, 1, 1, 1, 2, 0, 8, 8, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 0, 9, 9, 1, 2, 1, 2, 0, 10, 10, 1, 2, 1, 2, 0, 11, 11, 1, 1, 2, 1, 2, 0, 12, 12, 1, 2, 1, 1, 2, 0, 13, 13, 1, 1, 2, 1, 2, 0, 14, 14, 1, 2, 1, 2, 0, 15, 15, 1, 2, 1, 1, 2, 0, 16, 16, 1, 1, 2, 1, 1, 2, 0, 17, 17, 1, 1, 2, 1, 1, 2, 0, 18, 18, 1, 2, 1, 1, 2, 0, 19, 19, 1, 1, 2, 1, 1, 2, 19, 19, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 0, 0, 7, 2, 2, 2, 1, 0, 20, 20, 1, 1, 2, 1, 1, 2, 0, 21, 21, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 22, 22, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 13568, 604, 32, 4882, 1188, 4942, 203, 823, 2108, 14048, 5240, 26, 2282, 32, 4316, 2732, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 1006, 14048, 5240, 30, 630, 547, 23741, 346, 291, 630, 32, 3409, 3273, 280, 630, 32, 2121, 710, 2445, 32, 2445, 785, 291, 630, 32, 71, 418, 3273, 280, 630, 32, 2121, 710, 103, 418, 32, 103, 418, 785, 291, 630, 32, 25545, 3273, 280, 630, 32, 2121, 710, 575, 32, 15699, 785, 291, 630, 32, 1243, 750, 3273, 280, 630, 32, 2121, 710, 476, 32, 1160, 32, 605, 785, 291, 630, 32, 14048, 9004, 3273, 280, 630, 32, 2121, 710, 9729, 32, 1500, 32, 928, 785, 291, 630, 32, 14048, 17114, 3273, 280, 630, 32, 2121, 710, 9729, 32, 9768, 785, 291, 630, 32, 14686, 299, 3273, 280, 630, 32, 2121, 710, 9729, 32, 8800, 299, 785, 291, 630, 32, 5775, 3273, 280, 630, 32, 2121, 710, 9729, 32, 1500, 785, 291, 630, 32, 6343, 3273, 280, 630, 32, 2121, 710, 9729, 32, 12937, 785, 291, 630, 32, 6343, 1811, 3273, 280, 630, 32, 2121, 710, 9729, 32, 12937, 32, 928, 785, 291, 630, 32, 30126, 3273, 280, 630, 32, 2121, 710, 9729, 32, 12191, 32, 2499, 785, 291, 630, 32, 15699, 81, 481, 1198, 659, 81, 314, 280, 630, 32, 1243, 750, 3273, 32, 2593, 314, 81, 452, 81, 575, 81, 314, 463, 1439, 32, 575, 81, 15699, 81, 36, 683, 291, 630, 32, 15699, 81, 6558, 81, 314, 280, 630, 32, 1243, 750, 3273, 32, 2593, 314, 81, 452, 81, 575, 81, 314, 463, 1439, 32, 575, 81, 15699, 81, 38, 683, 291, 630, 32, 8800, 299, 81, 681, 81, 266, 280, 630, 32, 1243, 750, 3273, 32, 2593, 314, 81, 452, 81, 575, 81, 314, 463, 9729, 32, 8800, 299, 81, 681, 81, 266, 683, 291, 630, 32, 8800, 299, 81, 681, 81, 541, 280, 630, 32, 1243, 750, 3273, 32, 2593, 314, 81, 452, 81, 575, 81, 314, 463, 9729, 32, 8800, 299, 81, 681, 81, 541, 683, 291, 630, 32, 21061, 81, 2645, 280, 630, 32, 1243, 750, 3273, 32, 2593, 314, 81, 452, 81, 575, 81, 314, 463, 9729, 32, 9729, 81, 2645, 81, 22034, 20082, 683, 291, 630, 32, 9729, 81, 2645, 280, 630, 32, 1243, 750, 3273, 32, 2593, 314, 81, 452, 81, 575, 81, 314, 463, 9729, 32, 9729, 81, 2645, 81, 9729, 683, 291, 8921, 81, 2645, 280, 630, 32, 2121, 32, 612, 463, 9729, 32, 2645, 81, 2423, 81, 5634, 683, 291, 8921, 81, 2645, 32, 2480, 280, 2933, 291, 630, 32, 2423, 81, 2645, 280, 8921, 81, 2645, 32, 314, 291, 1688, 81, 2645, 280, 630, 32, 2121, 32, 612, 463, 9729, 32, 9729, 81, 2645, 81, 2024, 683, 291, 1688, 81, 2645, 32, 2480, 280, 2933, 291, 630, 32, 2024, 81, 2645, 280, 1688, 81, 2645, 32, 314, 291, 630, 32, 7123, 81, 2645, 280, 630, 32, 1243, 750, 3273, 32, 2593, 314, 81, 452, 81, 575, 81, 314, 463, 9729, 32, 9729, 81, 2645, 81, 22379, 683, 291, 630, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 6, 6, 8, 9, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 7, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 6, 6, 8, 9, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 6, 6, 8, 9, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 6, 6, 8, 9, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 8, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 7, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 8, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 7, 8, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 30, 15390, 81, 30839, 27, 203, 465, 5741, 203, 465, 7138, 203, 465, 1133, 203, 1070, 638, 1188, 14563, 81, 2796, 203, 1070, 638, 1188, 2287, 81, 2157, 203, 21980, 81, 38915, 81, 7498, 280, 225, 34, 203, 21980, 81, 38915, 81, 21392, 280, 225, 39, 203, 823, 7578, 6589, 4152, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 8668, 6589, 81, 7982, 81, 681, 30, 14563, 81, 7263, 81, 4254, 30, 2287, 81, 2157, 81, 3607, 711, 291, 630, 32, 3209, 6589, 81, 7982, 81, 681, 280, 8668, 6589, 81, 7982, 81, 681, 291, 630, 32, 18880, 81, 7263, 81, 4254, 280, 14563, 81, 7263, 81, 4254, 291, 630, 32, 1517, 81, 2157, 81, 3607, 280, 2287, 81, 2157, 81, 3607, 284, 665, 622, 81, 7263, 81, 605, 81, 1793, 81, 31039, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 11322, 81, 3585, 280, 35198, 26, 21980, 81, 38915, 81, 7498, 27, 415, 447, 11733, 7330, 81, 38915, 81, 7498, 848, 225, 34, 813, 3850, 26, 410, 30, 225, 35, 27, 291, 436, 617, 328, 11322, 81, 3585, 44, 324, 1596, 44, 400, 442, 630, 32, 3209, 6589, 81, 7982, 32, 371, 81, 7263, 81, 605, 2740, 1132, 30, 1115, 5321, 27, 324, 2940, 3268, 619, 484, 44, 400, 5741, 32, 731, 440, 924, 30627, 7578, 9417, 706, 44, 904, 101, 20, 904, 484, 27, 400, 14563, 81, 2796, 32, 3734, 81, 19145, 346, 400, 1133, 32, 7840, 26, 21980, 81, 38915, 81, 21392, 27, 400, 14563, 81, 2796, 32, 3734, 81, 19145, 346, 291, 5741, 32, 23766, 440, 2708, 28336, 31793, 30627, 7578, 9417, 706, 657, 291, 3636, 3268, 440, 2708, 28336, 31793, 30627, 7578, 9417, 706, 657, 284, 665, 2887, 81, 7982, 26, 784, 30, 706, 30, 14527, 81, 7982, 711, 291, 436, 10021, 81, 678, 30, 10021, 81, 668, 328, 706, 32, 3028, 2262, 324, 6699, 81, 314, 30, 4422, 81, 426, 30, 10021, 81, 426, 280, 10021, 81, 678, 324, 436, 10021, 81, 668, 81, 1094, 328, 10021, 81, 668, 44, 400, 415, 14527, 81, 7982, 32, 371, 26, 7263, 81, 678, 30, 308, 6665, 32, 6665, 32, 887, 33702, 2377, 10021, 81, 668, 81, 1094, 44, 528, 4036, 400, 10021, 81, 5561, 30, 10021, 81, 853, 30, 10021, 81, 37439, 280, 10021, 81, 668, 81, 1094, 400, 14563, 81, 2796, 32, 18880, 81, 3734, 81, 7263, 26, 784, 32, 18880, 81, 7263, 81, 4254, 474, 10021, 81, 426, 30, 22622, 10021, 81, 853, 30, 4422, 81, 426, 30, 10021, 81, 5561, 27, 400, 14527, 81, 7982, 77, 7263, 81, 678, 79, 280, 10021, 81, 668, 81, 1094, 291, 2287, 81, 2157, 32, 2853, 81, 1517, 81, 2157, 26, 784, 32, 1517, 81, 2157, 81, 3607, 30, 14527, 81, 7982, 27, 284, 665, 2575, 26, 784, 711, 291, 4070, 280, 14563, 81, 2796, 32, 2208, 81, 2132, 346, 291, 14527, 81, 7982, 280, 2287, 81, 2157, 32, 944, 81, 1517, 81, 2157, 26, 784, 32, 1517, 81, 2157 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 3, 3, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 7, 6, 6, 9, 10, 10, 10, 10, 10, 9, 7, 7, 9, 9, 9, 9, 9, 9, 8, 8, 9, 7, 7, 9, 10, 9, 9, 10, 9, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 7, 7, 7, 9, 12, 13, 13, 13, 13, 11, 12, 12, 12, 12, 12, 11, 13, 11, 11, 13, 11, 7, 7, 8, 9, 9, 8, 8, 8, 12, 13, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 12, 9, 9, 13, 13, 12, 13, 13, 13, 12, 9, 9, 12, 13, 12, 13, 13, 13, 13, 13, 12, 9, 9, 13, 13, 12, 13, 13, 13, 12, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 7, 7, 6, 6, 7, 7, 5, 5, 7, 8, 7, 5, 5, 10, 10, 9, 9, 10, 10, 9, 9, 10, 10, 8, 8, 9, 9, 6, 6, 7, 8, 8, 8, 8, 7, 7, 8, 8, 7, 7, 7, 9, 13, 13, 12, 13, 12, 13, 13, 13, 12, 12, 16, 15, 16, 14, 15, 13, 10, 10, 11, 11, 11, 11, 9, 9, 9, 8, 8, 12, 12, 11, 11, 12, 12, 11, 11, 12, 12, 10, 10, 11, 11, 11, 11, 8, 8, 12, 12, 11, 12, 12, 12, 12, 12, 11, 14, 13, 14, 14, 14, 14, 14, 12, 12, 13, 13, 11, 11, 11, 12, 12, 11, 11, 12, 12, 11, 11, 12, 12, 11, 8, 8, 12, 12, 11, 12, 12, 12, 11, 10, 10, 11, 11, 11, 11, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 7, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 10, 10, 9, 10, 10, 10, 10, 10, 9, 11, 10, 11, 11, 11 ]
[ 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, 3, 3, 0, 4, 4, 4, 4, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 2, 2, 7, 7, 7, 7, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 3, 1, 1, 2, 2, 2, 2, 0, 0, 0, 5, 5, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 5, 5, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 14785, 32, 2958, 32, 15704, 1114, 3106, 32, 15704, 32, 34745, 32, 45267, 81, 7741, 1188, 48453, 15401, 203, 1070, 14785, 32, 2958, 32, 15704, 1114, 3106, 32, 15704, 32, 34745, 32, 45267, 81, 7741, 1188, 48453, 43651, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 12, 12, 12, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 1, 12, 12, 12, 4, 4, 0, 0, 5, 5, 1, 1, 0, 6, 6, 0, 7, 7, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 30, 2322, 30, 5237, 30, 2771, 2872, 203, 761, 1515, 81, 5607, 280, 316, 32, 6993, 26, 100, 28249, 21, 1234, 78, 101, 28, 3539, 81, 3197, 78, 101, 22189, 29548, 49, 4731, 683, 203, 13141, 81, 5607, 280, 316, 32, 6993, 26, 100, 14891, 13157, 29, 49, 9905, 657, 203, 1855, 81, 5607, 280, 316, 32, 6993, 26, 100, 20, 80, 40708, 8169, 26, 6521, 110, 86, 2840, 9501, 657, 203, 589, 1491, 81, 761, 15615, 26, 3607, 711, 284, 1056, 280, 1605, 284, 343, 289, 81, 761, 280, 803, 26, 3607, 30, 313, 2051, 657, 284, 436, 2698, 328, 343, 289, 81, 761, 44, 291, 2530, 280, 803, 1515, 81, 5607, 32, 2872, 26, 643, 27, 291, 415, 2530, 44, 324, 1056, 32, 1689, 26, 2872, 32, 1363, 26, 35, 490, 284, 343, 289, 81, 761, 32, 2679, 346, 284, 442, 1056, 203, 589, 1650, 81, 2536, 26, 761, 81, 15615, 711, 284, 1056, 280, 2149, 284, 436, 3362, 328, 29390, 26, 761, 81, 15615, 711, 291, 436, 636, 328, 2322, 32, 26366, 26, 5660, 711, 324, 415, 636, 32, 1809, 46661, 610, 429, 35, 44, 400, 4036, 324, 1056, 77, 426, 32, 5729, 7662, 280, 3362, 32, 3227, 40348, 370, 33774, 474, 13637, 474, 636, 284, 442, 1056, 203, 589, 21817, 81, 11250, 26, 5379, 711, 284, 665, 7084, 81, 1298, 26, 426, 711, 291, 1202, 280, 636, 32, 1363, 26, 35, 547, 5729, 346, 291, 415, 1202, 328, 6086, 44, 324, 15909, 280, 6086, 77, 678, 79, 291, 813, 44, 324, 15909, 280, 636, 32, 1363, 26, 35, 27, 291, 442, 37638, 474, 15909, 474, 37638, 284, 436, 308, 1515, 983, 30, 29141, 30, 2276, 27, 328, 2322, 32, 11905, 5791, 10280, 291, 436, 636, 328, 2276, 44, 324, 415, 1914, 81, 5607, 32, 2872, 26, 426, 711, 400, 1519, 280, 4921, 983, 474, 13637, 474, 636, 400, 1914, 81, 761, 280, 803, 26, 983, 30, 313, 2051, 657, 400, 1688, 81, 761, 280, 803, 26, 983, 474, 4939, 2868, 392, 313, 6000, 657, 400, 436, 2698, 328, 1914, 81, 761, 44, 528, 2698, 280, 16144, 81, 5607, 32, 1113, 26, 3227, 81, 1298, 30, 2698, 27, 528, 1688, 81, 761, 32, 1821, 26, 643, 27, 400, 1688, 81, 761, 32, 2679, 346, 400, 1914, 81, 761, 32, 2679, 346, 400, 2322, 32, 2546, 26, 983, 27, 400, 2322, 32, 13141, 26, 983, 474, 4939, 2868, 392, 1519, 27, 203, 15615, 280, 1491, 81, 761, 15615, 440, 14647, 13548, 32, 86, 289, 724, 203, 5379, 280, 1650, 81, 2536, 26, 15615, 27, 203, 22179, 81, 11250, 26, 5379, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 6, 8, 8, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 6, 6, 9, 9, 9, 8, 9, 8, 9, 8, 4, 4, 5, 5, 5, 5, 9, 10, 9, 12, 11, 12, 11, 12, 11, 2, 2, 6, 6, 6, 5, 6, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 5, 6, 6, 6, 5, 3, 3, 5, 5, 5, 7, 8, 7, 8, 7, 5, 5, 7, 10, 11, 10, 8, 8, 10, 7, 7, 7, 6, 6, 9, 12, 11, 12, 11, 8, 8, 12, 13, 12, 14, 12, 10, 10, 9, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 10, 11, 10, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 9, 10, 9, 5, 5, 6, 6, 6, 9, 9, 11, 12, 11, 12, 11, 4, 4, 5, 7, 7, 6, 6, 2, 2, 3, 5, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 5, 7, 3, 3, 5, 5, 5, 5, 5, 5, 7, 10, 10, 9, 10, 9, 10, 9, 7, 7, 10, 10, 13, 12, 12, 11, 11, 8, 8, 11, 11, 10, 10, 12, 13, 12, 12, 14, 14, 8, 8, 11, 11, 10, 10, 12, 14, 13, 13, 15, 15, 12, 14, 14, 8, 8, 9, 9, 9, 10, 10, 9, 9, 9, 12, 12, 15, 15, 14, 15, 14, 15, 15, 15, 14, 14, 14, 10, 10, 14, 14, 13, 14, 13, 14, 13, 8, 8, 12, 12, 11, 12, 11, 8, 8, 12, 12, 11, 12, 11, 8, 8, 11, 12, 11, 12, 11, 8, 8, 11, 12, 11, 13, 12, 12, 14, 14, 11, 11, 0, 3, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 4, 4, 4, 5, 4, 0, 3, 3, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 2, 2, 2, 3, 3, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 4, 0, 5, 5, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 5, 5, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 4, 4, 2, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 0, 0, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 2, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 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 ]
[ 465, 316, 203, 1070, 13625, 1188, 636, 41766, 203, 1070, 35094, 1188, 7360, 203, 1070, 3995, 1188, 10477, 410, 203, 1070, 1133, 1188, 9368, 203, 1070, 3443, 1204, 32, 8524, 1188, 1984, 2208, 30, 1984, 2524, 30, 2155, 203, 1070, 3443, 1204, 32, 11452, 1188, 7537, 924, 30, 11028, 924, 30, 3139, 18075, 924, 203, 1070, 3443, 1204, 32, 2796, 1188, 11028, 30, 11028, 2031, 203, 1070, 3443, 1204, 32, 2796, 32, 1237, 1188, 1913, 30, 6042, 203, 1070, 3443, 1204, 32, 2238, 1188, 559, 11779, 1862, 30, 677, 4900, 1862, 30, 4808, 1862, 30, 7537, 203, 1070, 3443, 1204, 32, 2238, 32, 1306, 104, 7232, 1188, 12943, 72, 2633, 17353, 203, 1070, 3443, 1204, 32, 2238, 32, 8708, 318, 1188, 308, 284, 17115, 318, 33667, 30, 17115, 318, 1862, 3976, 30, 17115, 318, 1862, 8068, 203, 27, 203, 1270, 44, 284, 1188, 34685, 2868, 284, 35890, 81, 7655, 4460, 1456, 280, 2933, 203, 7343, 29986, 44, 284, 35890, 81, 7655, 4460, 1456, 280, 3177, 203, 81, 965, 81, 268, 280, 316, 32, 6993, 27265, 284, 1913, 26, 101, 6505, 555, 26, 1499, 8169, 6505, 675, 1051, 32, 7598, 284, 308, 2805, 291, 12297, 6912, 33, 110, 33, 3237, 33, 314, 33, 2502, 49, 66, 46, 3237, 81, 314, 5213, 86, 24913, 284, 829, 49, 284, 308, 2805, 291, 517, 268, 17008, 33, 12390, 66, 46, 5000, 81, 314, 5213, 86, 24913, 284, 829, 49, 203, 37616, 316, 32, 28155, 27, 203, 81, 3237, 81, 314, 81, 268, 280, 316, 32, 6993, 33744, 46717, 4565, 4987, 86, 29, 14451, 203, 58, 4900, 81, 9994, 4613, 81, 2413, 280, 308, 284, 313, 525, 555, 40296, 31, 22528, 32, 675, 1051, 32, 7598, 20, 284, 2430, 16494, 3246, 5263, 34, 3188, 15189, 33, 9732, 33, 40296, 33, 17113, 32, 95, 37, 103, 42, 20, 203, 27, 203, 6755, 758, 10884, 81, 2413, 280, 313, 525, 555, 102, 7906, 32, 675, 1051, 32, 7598, 33, 5000, 5263, 34, 3845, 203, 4460, 1456, 81, 2413, 280, 313, 2051, 317, 555, 100, 109, 34, 11915, 35, 27397, 35, 11915, 3237, 31, 9732, 32, 23256, 32, 675, 1051, 32, 7598, 44, 35, 43, 37, 39, 33, 675, 1051, 20, 203, 5687, 56, 81, 2413, 280, 313, 525, 555, 1574, 31, 7906, 35, 32, 675, 1051, 32, 7598, 33, 1586, 88, 33, 9732, 33, 11429, 32, 100, 2003, 44, 39, 34, 39, 32, 1586, 88, 20, 203, 81, 1647, 81, 1338, 81, 3968, 280, 6042, 32, 3694, 26, 284, 1149, 30, 284, 6042, 32, 1322, 26, 35, 471, 284, 6042, 32, 371, 26, 34, 471, 284, 5436, 203, 27, 203, 81, 404, 88, 37, 81, 955, 280, 6042, 32, 3694, 26, 284, 6042, 32, 1813, 26, 291, 6042, 32, 464, 26, 324, 301, 410, 44, 1300, 835, 324, 6042, 32, 3792, 26, 5962, 312, 44, 1149, 26, 83, 32, 2810, 35728, 291, 2588, 291, 1149, 284, 829, 203, 27, 203, 81, 268, 17008, 81, 3968, 280, 6042, 32, 3694, 1371, 284, 6042, 32, 5301, 440, 2238, 10280, 6042, 32, 464, 26, 291, 617, 404, 88, 37, 81, 955, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 3, 5, 2, 2, 5, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 6, 6, 6, 6, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 7, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 4, 4, 4, 4, 6, 7, 6, 7, 6, 4, 4, 6, 7, 6, 7, 6, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 4, 6, 7, 6, 6, 6, 8, 9, 8, 8, 8, 11, 10, 10, 9, 8, 8, 10, 11, 10, 11, 11, 11, 11, 13, 16, 15, 16, 15, 8, 8, 6, 6, 6, 6, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 8, 9, 8, 10, 10, 6, 8, 9, 8, 8, 8, 9, 9, 9, 9, 9, 8 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 0, 4, 4, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 7, 7, 0, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 8, 8, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 10, 10, 0, 1, 2, 1, 4, 4, 4, 10, 10, 0, 0, 0, 0, 11, 11, 0, 1, 2, 1, 4, 4, 11, 11, 11, 11, 0, 0, 11, 11, 0, 0, 0, 11, 11, 0, 0, 0, 11, 11, 0, 12, 12, 12, 12, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 12, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 2322, 203, 465, 22045, 36, 203, 465, 316, 203, 465, 5741, 203, 1070, 16539, 1188, 447, 1676, 203, 1070, 16539, 1188, 21925, 1304, 203, 823, 9146, 4554, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1359, 711, 291, 630, 1114, 2095, 280, 1359, 291, 630, 1114, 751, 280, 5741, 32, 10579, 463, 14552, 683, 291, 630, 1114, 1664, 81, 5866, 346, 284, 665, 617, 1664, 81, 5866, 26, 784, 711, 291, 15098, 280, 2149, 291, 436, 1202, 328, 630, 1114, 2095, 32, 3494, 2262, 324, 415, 1202, 32, 5729, 922, 20643, 14728, 5866, 7831, 400, 15098, 77, 678, 32, 2998, 14728, 11968, 34, 3212, 280, 630, 1114, 2095, 77, 678, 79, 291, 630, 1114, 751, 32, 2811, 463, 10655, 7664, 15098, 18025, 101, 16249, 15098, 27, 291, 2156, 483, 280, 1605, 291, 415, 15098, 44, 324, 2156, 483, 32, 1689, 26, 39362, 36, 32, 5392, 1972, 26, 14458, 490, 324, 436, 4899, 328, 15098, 32, 2810, 2262, 400, 415, 3770, 25, 328, 4899, 44, 528, 2156, 483, 32, 1689, 26, 39362, 36, 32, 5392, 7099, 2681, 1972, 1157, 324, 3089, 749, 280, 22045, 36, 32, 1832, 81, 520, 749, 2740, 1676, 483, 27, 324, 22045, 36, 32, 3789, 81, 520, 749, 26, 520, 749, 27, 284, 665, 5822, 26, 784, 30, 1984, 30, 372, 974, 711, 291, 1519, 81, 452, 81, 4984, 81, 21823, 280, 2322, 32, 983, 32, 2524, 26, 324, 630, 1114, 2095, 710, 11603, 81, 3197, 2188, 324, 330, 6993, 31, 9081, 370, 324, 330, 1771, 370, 324, 330, 4984, 81, 9277, 683, 291, 2016, 81, 8299, 280, 428, 324, 1519, 81, 452, 81, 4984, 81, 21823, 30, 324, 1984, 30, 324, 372, 974, 79, 291, 2164, 280, 447, 1676, 26, 2501, 81, 8299, 30, 12532, 47, 18165, 27, 291, 4323, 81, 687, 280, 2164, 32, 1684, 346, 291, 25035, 81, 3423, 280, 2164, 32, 9362, 32, 850, 922, 38848, 346, 291, 415, 4323, 81, 687, 610, 225, 34, 44, 324, 1459, 313, 44810, 18025, 101, 79, 372, 18025, 101, 12032, 904, 308, 32895, 81, 3423, 30, 372, 974, 27, 291, 4348, 4323, 81, 687, 610, 225, 35, 44, 324, 3636, 26405, 440, 9752, 646, 5822, 8450, 44, 904, 101, 20, 904, 1984, 27, 291, 4348, 4323, 81, 687, 610, 225, 37, 44, 324, 3636, 26405, 440, 5108, 39, 432, 17236, 8450, 1957, 646, 2530, 2799, 786, 657, 284, 665, 3115, 81, 6728, 81, 4984, 26, 784, 30, 1984, 30, 372, 974, 711, 291, 736, 280, 22045, 36, 32, 305, 33786, 26, 965, 27, 291, 623, 2156, 26, 452, 974, 30, 330, 105, 683, 619, 296, 44, 324, 296, 32, 1821, 26, 575, 32, 850, 1157, 291, 1459, 330, 44810, 18025, 101, 79, 372, 18025, 101, 18262, 904, 308, 965, 30, 372, 974, 27, 291, 630, 1114, 751, 32, 1338, 463, 44810, 18025, 101, 79, 372, 18025, 101, 16249, 1984, 30, 372, 974, 27, 284, 665, 5822, 81, 7224, 26, 784, 30, 1984, 711, 291, 4845, 280, 22045, 36, 32, 305, 33786, 26, 965, 547, 850, 346, 291, 630, 1114, 751, 32, 1338, 463, 44810, 18025 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 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, 8, 9, 8, 10, 10, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 5, 5, 8, 9, 7, 8, 7, 5, 5, 7, 11, 12, 11, 10, 9, 11, 11, 7, 7, 11, 15, 14, 15, 14, 16, 13, 12, 10, 10, 12, 13, 11, 12, 11, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 7, 6, 6, 4, 4, 5, 5, 5, 5, 10, 9, 10, 9, 12, 12, 11, 12, 12, 11, 12, 11, 6, 6, 7, 7, 7, 9, 10, 9, 7, 7, 9, 12, 10, 10, 9, 9, 9, 14, 13, 14, 13, 16, 16, 15, 16, 16, 16, 16, 15, 6, 6, 9, 8, 8, 11, 10, 11, 11, 11, 11, 10, 12, 12, 10, 6, 6, 10, 9, 10, 10, 10, 10, 9, 10, 10, 9, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 8, 8, 10, 11, 9, 11, 11, 11, 11, 8, 8, 10, 10, 10, 10, 8, 8, 10, 10, 8, 8, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 7, 4, 4, 6, 6, 8, 8, 9, 9, 9, 8, 8, 9, 10, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 4, 4, 7, 7, 6, 6, 11, 12, 10, 11, 10, 9, 8, 4, 4, 5, 7, 7, 6, 6, 7, 5, 5, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 9, 9, 10, 9, 5, 5, 6, 8, 8, 7, 7, 8, 6, 6, 6, 8, 10, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 10, 5, 5, 6, 8, 8, 7, 7, 8, 6, 6, 6, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 8, 9, 9, 8, 9, 8, 4, 4, 5, 10, 11, 11, 10, 10, 12, 12, 8, 8, 5, 5, 5, 9, 10, 9, 12, 11, 12, 11, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 7, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 11, 10, 11, 11, 10, 11, 10, 9, 8, 4, 4, 8, 9, 7, 8, 7, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 0, 5, 5, 5, 5, 0, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 5, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 4, 4, 5, 0, 0, 1, 1, 2, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 5, 5, 4, 0, 0, 1, 1, 2, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 5, 0, 0, 1, 1, 2, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 3, 3, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1 ]
[ 465, 26313, 203, 465, 1133, 203, 465, 22045, 32, 1357, 203, 465, 2361, 203, 1070, 4377, 1188, 2297, 1439, 203, 15859, 81, 1553, 81, 7568, 280, 225, 40, 34, 225, 203, 5702, 280, 330, 61, 278, 401, 30, 567, 25, 203, 1537, 81, 15859, 81, 965, 280, 2726, 525, 555, 1237, 32, 1676, 15859, 1110, 32, 1088, 33, 605, 33, 36, 32, 39, 33, 15859, 49, 99, 6132, 101, 24, 9660, 47, 7263, 683, 904, 308, 5702, 27, 203, 24802, 81, 965, 264, 280, 2726, 525, 555, 1237, 32, 1676, 15859, 1110, 32, 1088, 33, 605, 33, 36, 32, 39, 33, 24802, 49, 99, 6132, 101, 24, 9660, 47, 7263, 683, 904, 308, 5702, 27, 203, 823, 20023, 26, 1647, 1439, 32, 2459, 1761, 711, 284, 706, 280, 1665, 284, 9336, 280, 9254, 816, 499, 2361, 32, 16958, 26, 106, 547, 4434, 463, 3310, 31, 42, 683, 284, 665, 1156, 1664, 3207, 784, 27, 499, 291, 20023, 32, 605, 280, 32054, 750, 346, 284, 665, 409, 1664, 26, 784, 27, 499, 291, 3097, 284, 665, 6272, 81, 17473, 26, 784, 711, 291, 706, 280, 301, 324, 330, 1433, 25, 499, 20023, 32, 605, 32, 1537, 81, 1433, 346, 291, 320, 291, 442, 20023, 32, 4434, 26, 605, 27, 284, 665, 6272, 81, 1700, 26, 784, 27, 499, 291, 28893, 280, 20023, 32, 605, 291, 706, 280, 301, 324, 330, 5702, 25, 499, 11297, 30, 324, 330, 1433, 25, 499, 28893, 32, 1537, 81, 1433, 1026, 324, 330, 15859, 25, 499, 28893, 32, 1537, 81, 15859, 1026, 324, 330, 48251, 25, 499, 28893, 32, 1537, 81, 48251, 1026, 324, 330, 34374, 25, 499, 28893, 32, 1537, 81, 34374, 1026, 324, 330, 5561, 25, 499, 28893, 32, 5561, 346, 291, 320, 291, 442, 20023, 32, 4434, 26, 605, 27, 284, 665, 6272, 81, 24802, 26, 784, 27, 499, 291, 706, 280, 20023, 32, 605, 32, 24802, 346, 291, 442, 20023, 32, 4434, 26, 605, 27, 284, 665, 8083, 81, 858, 26, 784, 27, 499, 291, 442, 313, 13716, 11555, 203, 823, 32054, 750, 499, 284, 665, 1156, 1664, 3207, 784, 27, 499, 291, 630, 3667, 1537, 81, 1433, 280, 429, 35, 291, 630, 3667, 48251, 280, 429, 35, 291, 630, 3667, 34374, 280, 429, 35, 291, 630, 3667, 1537, 81, 15859, 280, 2149, 291, 630, 3667, 24802, 280, 1605, 291, 630, 3667, 5561, 280, 225, 34, 291, 630, 3667, 809, 280, 26313, 32, 4631, 346, 291, 630, 3667, 1366, 81, 17099, 346, 284, 5881, 284, 5056, 33771, 284, 5881, 284, 665, 2738, 81, 1433, 26, 784, 27, 499, 291, 623, 630, 3667, 809, 499, 324, 442, 630, 3667, 1537, 81, 1433, 284, 665, 2738, 81, 15859, 26, 784, 27, 499, 291, 623, 630, 3667, 809, 499, 324, 442, 630, 3667, 1537, 81, 15859, 284, 665, 2738, 81, 48251, 26, 784, 27, 499, 291, 623, 630, 3667, 809, 499, 324, 442, 630, 3667, 48251, 284, 665, 2738, 81, 34374, 26, 784, 27, 499, 291, 623, 630, 3667, 809, 499, 324, 442, 630, 3667, 34374, 284, 665, 29154, 26, 784, 27, 499, 291, 623, 630, 3667 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 4, 0, 3, 3, 3, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 4, 0, 1, 1, 2, 4, 4, 3, 4, 4, 2, 1, 1, 4, 4, 2, 2, 4, 4, 5, 5, 5, 9, 10, 9, 10, 9, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 3, 7, 8, 6, 6, 8, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 10, 10, 8, 8, 11, 12, 10, 11, 11, 11, 10, 7, 7, 4, 4, 5, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 3, 6, 6, 7, 8, 4, 4, 6, 6, 7, 7, 10, 10, 8, 8, 7, 7, 7, 10, 10, 8, 8, 10, 11, 11, 11, 10, 7, 7, 10, 10, 8, 8, 10, 11, 11, 11, 10, 7, 7, 10, 10, 8, 8, 10, 11, 11, 11, 10, 7, 7, 10, 10, 8, 8, 10, 11, 11, 11, 10, 7, 7, 10, 10, 8, 8, 10, 11, 10, 7, 7, 4, 4, 5, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 3, 6, 6, 9, 10, 8, 9, 8, 4, 4, 5, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 3, 5, 7, 7, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 3, 7, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 6, 6, 8, 4, 4, 7, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 2, 2, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 3, 5, 8, 9, 5, 5, 5, 7, 8, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 3, 5, 8, 9, 5, 5, 5, 7, 8, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 3, 5, 8, 9, 5, 5, 5, 7, 8, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 3, 5, 8, 9, 5, 5, 5, 7, 8, 9, 2, 2, 3, 4, 5, 4, 3, 3, 3, 5, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 9, 9, 2, 0, 0, 1, 2, 2, 2, 9, 9, 0, 0, 4, 4, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 4, 4, 3, 1, 2, 1, 2, 3, 3, 3, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 4, 4, 1, 0, 2, 1, 1, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 5, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 3, 0, 2, 2, 2, 1, 2, 2, 1, 2, 5, 5, 0, 2, 2, 2, 1, 2, 2, 1, 2, 7, 7, 0, 2, 2, 2, 1, 2, 2, 1, 2, 9, 9, 0, 2, 2, 2, 1, 2, 2, 1, 2, 11, 11, 0, 2, 1, 2, 2, 4, 4, 2, 0, 2, 1, 1, 1, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 6, 0, 0, 0, 2, 0, 2, 1, 4, 4, 1, 0, 2, 1, 1, 1, 4, 4, 7, 1, 1, 2, 1, 2, 7, 7, 7, 0, 1, 1, 0, 10, 10, 1, 10, 10, 10, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 4, 4, 0, 2, 0, 0, 1, 4, 4, 0, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 3, 3, 3, 1, 1, 2, 1, 2, 3, 3, 3, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 3, 3, 4, 1, 1, 2, 1, 2, 4, 4, 4, 0, 0, 2, 0, 0, 0, 0, 1, 2, 3, 3, 5, 1, 1, 2, 1, 2, 5, 5, 5, 0, 0, 2, 0, 0, 0, 0, 1, 2, 3, 3, 6, 2, 1, 2, 6, 6, 6, 0, 0 ]
[ 9592, 203, 2529, 458, 3261, 372, 1974, 1169, 322, 5539, 4826, 432, 2276, 203, 6939, 4528, 5372, 458, 4947, 32, 203, 1562, 2280, 44, 203, 306, 2640, 308, 85, 27, 225, 36, 34, 34, 43, 31, 36, 34, 35, 36, 886, 35409, 7349, 15462, 203, 283, 1098, 1539, 561, 372, 203, 306, 2640, 308, 85, 27, 225, 36, 34, 34, 43, 31, 36, 34, 35, 39, 886, 35409, 7349, 15462, 203, 9592, 203, 465, 2322, 203, 465, 1133, 203, 465, 316, 203, 4548, 280, 1133, 32, 13945, 1003, 8532, 34, 79, 203, 8185, 81, 25885, 81, 5241, 280, 330, 2912, 1245, 769, 1643, 23375, 1784, 269, 429, 35, 904, 101, 523, 2340, 34441, 1784, 75, 20, 429, 103, 429, 88, 429, 25, 203, 8185, 81, 29396, 47, 313, 20945, 429, 1295, 429, 87, 330, 101, 13824, 36, 34, 78, 86, 78, 86, 2502, 2805, 31, 36, 34, 78, 86, 78, 86, 6505, 886, 35409, 9764, 35, 9299, 101, 886, 35409, 7404, 904, 101, 20, 203, 29396, 81, 13926, 47, 316, 32, 6993, 4912, 101, 886, 35409, 20, 904, 4947, 27, 203, 8185, 81, 4613, 81, 14137, 47, 313, 1809, 904, 101, 523, 14173, 904, 101, 20, 203, 19856, 69, 280, 3037, 1569, 9493, 392, 5587, 1617, 1446, 203, 19814, 69, 280, 428, 2296, 3766, 1461, 32, 90, 392, 4939, 978, 1446, 203, 589, 622, 81, 2912, 81, 770, 26, 761, 81, 983, 711, 334, 540, 280, 2322, 32, 98, 1676, 26, 8185, 81, 25885, 81, 5241, 904, 803, 81, 983, 27, 334, 436, 456, 328, 540, 44, 284, 442, 456, 32, 3227, 5528, 96, 1461, 657, 334, 442, 3330, 203, 96, 47, 35, 203, 979, 4844, 328, 506, 9645, 69, 44, 334, 436, 5016, 328, 26965, 14082, 69, 44, 284, 436, 803, 81, 983, 328, 2322, 32, 98, 1676, 26, 8185, 81, 4613, 81, 14137, 904, 308, 6175, 30, 5016, 8531, 397, 803, 81, 983, 280, 2322, 32, 33115, 346, 474, 803, 81, 983, 77, 35, 5979, 35, 79, 397, 415, 803, 81, 983, 32, 20643, 26, 6728, 711, 291, 5554, 81, 770, 280, 622, 81, 2912, 81, 770, 26, 761, 81, 983, 27, 291, 415, 596, 26, 4548, 27, 610, 5554, 81, 770, 44, 616, 415, 11752, 1460, 81, 13926, 32, 1903, 26, 1676, 26, 761, 81, 983, 30, 313, 100, 1895, 850, 1157, 438, 1665, 44, 324, 1459, 310, 2360, 3267, 5554, 4553, 392, 5554, 81, 770, 30, 32800, 803, 81, 983, 324, 2322, 32, 98, 1676, 26, 8185, 81, 29396, 904, 308, 4548, 30, 761, 81, 983, 490, 324, 310, 280, 310, 474, 225, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 5, 6, 6, 5, 4, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 0, 3, 3, 3, 2, 2, 4, 5, 4, 7, 7, 7, 7, 5, 5, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 0, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 7, 7, 6, 8, 8, 8, 8, 8, 7, 7, 8, 8, 6, 2, 2, 3, 3, 3, 3, 3, 3, 5, 7, 8, 7, 10, 9, 9, 2, 2, 3, 0, 3, 2, 3, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 3, 4, 4, 3, 3, 3, 5, 6, 6, 5, 5, 7, 8, 8, 7, 9, 9, 9, 9, 9, 8, 8, 10, 9, 9, 9, 5, 5, 9, 9, 8, 8, 11, 12, 11, 9, 9, 11, 11, 10, 12, 11, 13, 10, 6, 6, 7, 10, 10, 9, 10, 9, 10, 9, 7, 7, 11, 11, 10, 10, 12, 12, 12, 12, 12, 13, 13, 13, 12, 8, 8, 9, 12, 13, 12, 10, 10, 11, 11, 9, 9, 9, 11, 15, 15, 15, 14, 15, 14, 18, 18, 19, 19, 19, 18, 18, 20, 20, 17, 16, 12, 12, 11, 11, 11, 13, 13, 15, 15, 15, 15, 13, 14, 14, 13, 13, 13, 14, 14, 12, 12, 15, 16, 16, 15, 17, 17, 17, 16, 16, 18, 17, 18, 18, 18, 17, 12, 12, 14, 14, 15, 15, 16, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 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, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 11, 11, 1, 1, 1, 1, 2, 1, 1, 1, 2, 11, 11, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 4, 4, 2, 0, 0, 0, 2, 0, 13, 13, 13, 13, 3, 3, 13, 13, 13, 0, 0, 0, 3, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 5, 5, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 5, 5, 0, 0, 0, 9, 9, 3, 3, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 3, 3, 3, 2, 3, 3, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5237, 203, 81, 84, 47, 3731, 32, 1648, 81, 1338, 77, 34, 11324, 37, 461, 308, 5962, 816, 44, 106, 27, 556, 308, 5962, 816, 44, 106, 32, 4434, 463, 23423, 35, 2847, 203, 1070, 9270, 32, 3938, 1188, 9866, 619, 617, 9664, 203, 1070, 9270, 32, 3938, 1188, 1474, 619, 617, 1436, 203, 1070, 9270, 32, 3938, 1188, 26158, 619, 617, 22630, 203, 1070, 9270, 32, 3938, 1188, 6977, 81, 4603, 619, 617, 7010, 81, 4603, 203, 1070, 9270, 32, 3938, 1188, 9866, 81, 4365, 36, 203, 81, 7919, 81, 1199, 280, 617, 7010, 81, 4603, 32, 2044, 346, 203, 27874, 280, 617, 9664, 32, 33748, 26, 334, 636, 1057, 47967, 32, 1805, 370, 334, 2652, 1057, 47967, 370, 334, 8345, 1057, 1805, 37, 370, 334, 14300, 81, 4365, 11645, 84, 9442, 96, 78, 106, 35, 34, 47967, 32, 1805, 78, 106, 35, 36, 78, 96, 47967, 13517, 106, 35, 85, 78, 96, 78, 106, 34, 85, 8279, 1104, 78, 106, 35, 36, 78, 106, 34, 85, 78, 96, 78, 106, 34, 38, 426, 78, 106, 35, 42, 78, 106, 34, 35, 766, 106, 34, 35, 4987, 102, 13517, 106, 35, 86, 78, 96, 78, 96, 8279, 9259, 78, 106, 35, 36, 78, 106, 34, 88, 78, 96, 78, 106, 34, 41, 1436, 78, 106, 35, 42, 78, 106, 34, 35, 766, 106, 34, 35, 4987, 102, 36, 59, 78, 96, 78, 106, 34, 41, 57, 7104, 265, 78, 106, 35, 36, 5213, 96, 78, 106, 34, 42, 30859, 8279, 78, 106, 35, 36, 78, 106, 35, 42, 32, 47967, 32, 8279, 1104, 78, 106, 35, 83, 78, 106, 35, 40, 32, 47967, 32, 8279, 9259, 13517, 106, 34, 34, 78, 106, 38, 36, 78, 106, 37, 40, 78, 96, 78, 106, 35, 12761, 32, 7052, 32, 7899, 32, 47967, 52, 78, 106, 34, 88, 47340, 3489, 66, 78, 106, 34, 35, 78, 2925, 36, 78, 106, 34, 36, 78, 106, 34, 37, 12901, 31522, 78, 106, 34, 40, 1805, 37, 683, 203, 27, 203, 81, 7919, 81, 1199, 32, 4329, 33748, 26, 27874, 27, 203, 81, 23947, 1305, 7921, 280, 617, 9664, 32, 4327, 26, 334, 636, 1057, 8279, 1104, 370, 334, 3536, 81, 426, 1057, 47967, 32, 8279, 1104, 370, 334, 4870, 47, 2521, 30, 334, 803, 47, 27874, 30, 334, 6621, 81, 681, 47, 2521, 30, 334, 3829, 6020, 284, 617, 9664, 32, 45458, 26, 397, 636, 1057, 426, 370, 3536, 81, 426, 1057, 47967, 32, 8279, 1104, 32, 426, 370, 1650, 47, 34, 30, 397, 1451, 47, 35, 30, 827, 47, 43, 30, 23332, 81, 681, 47, 43, 30, 2266, 47, 35, 30, 397, 1401, 81, 1536, 81, 853, 47, 2700, 30, 1244, 81, 853, 11645, 84, 440, 1895, 5460, 463, 3310, 31, 42, 1425, 397, 1474, 81, 681, 47, 2521, 30, 3833, 81, 681, 47, 2521, 30, 6621, 81, 681, 47, 2521, 30, 397, 438, 81, 6728, 47, 2700, 30, 5016, 81, 3473, 47, 2521, 30, 397, 2075, 47, 2521, 471, 334, 2505, 334, 11581, 6020, 334, 2505, 334, 11815, 81, 2516, 33792, 334, 3833 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 3, 3, 2, 8, 7, 8, 8, 8, 6, 7, 6, 6, 4, 4, 6, 6, 6, 7, 5, 3, 3, 5, 5, 5, 8, 7, 8, 7, 9, 9, 9, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 0, 1, 1, 2, 3, 1, 1, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 5, 5, 5, 4, 5, 4, 0, 3, 2, 2, 5, 4, 5, 4, 4, 4, 5, 7, 7, 7, 7, 4, 4, 5, 7, 7, 4, 4, 5, 7, 7, 7, 4, 4, 6, 6, 5, 7, 7, 10, 10, 10, 10, 10, 9, 9, 9, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 10, 9, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 9, 9, 9, 4, 4, 0, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 0, 3, 3, 3, 3, 2, 2, 5, 4, 5, 4, 4, 4, 5, 7, 7, 7, 4, 4, 6, 6, 5, 7, 7, 7, 7, 7, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5, 6, 6, 9, 8, 9, 8, 8, 8, 9, 11, 11, 8, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 9, 10, 8, 8, 10, 10, 9, 10, 8, 8, 9, 10, 8, 8, 8, 10, 10, 10, 10, 9, 10, 8, 8, 10, 10, 9, 13, 13, 15, 12, 11, 13, 13, 13, 13, 8, 8, 10, 10, 9, 10, 8, 8, 10, 10, 9, 10, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 9, 10, 8, 8, 10, 10, 9, 10, 8, 8, 8, 9, 10, 8, 6, 6, 4, 4, 5, 6, 6, 4, 4, 6, 6, 5, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 3, 3, 2, 0, 3, 3, 1, 2, 3, 3, 3, 3, 2, 0, 4, 4, 1, 2, 4, 4, 3, 3, 2, 0, 5, 5, 1, 2, 5, 5, 0, 0, 3, 3, 2, 2, 2, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 5, 1, 1, 2, 1, 1, 0, 0, 7, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 1, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 1, 1, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 11, 11, 11, 11, 1, 12, 12, 12, 12, 13, 13, 13, 13, 1, 14, 14, 14, 1, 15, 16, 17, 17, 17, 18, 18, 19, 19, 1, 1, 20, 20, 20, 20, 21, 21, 21, 21, 22, 22, 23, 23, 23, 23, 1, 24, 24, 24, 24, 25, 25, 25, 25, 1, 26, 26, 26, 1, 27, 1, 1, 28, 28, 29, 29, 29, 29, 1, 1, 1, 30, 30, 30, 30, 1, 31, 32, 32, 32, 32, 1, 1, 33, 33, 33, 33, 34, 34, 34, 34, 1, 1, 1, 1, 1, 35, 35, 35, 35, 36, 36, 36, 36, 1, 1, 1, 1, 1, 37, 38, 38, 38, 39, 39, 39, 39, 40, 40, 40, 40, 41, 41, 42, 42, 42, 42, 1, 1, 1, 1, 1, 1, 1, 43, 43, 43, 43, 1, 1, 1, 44, 44, 44, 44, 45, 45, 45, 46, 46, 46, 46, 47, 47, 47, 47, 1, 1, 48, 48, 48, 48, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 0, 0, 9, 2, 1, 1, 1, 11, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 9, 2, 1, 1, 0, 0, 11, 2, 1, 1, 13, 2, 1, 1, 1, 0, 0, 0, 0, 15, 2, 1, 1, 0, 0, 17, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 19, 2, 1, 1, 0, 0, 21, 2, 1, 1, 0, 0, 23, 2, 1, 1, 1, 0, 0, 25, 2, 1, 1, 0, 0, 27, 2, 1, 1, 1, 29, 2, 1, 2, 2, 1, 1, 13, 2, 2, 1, 1, 0, 0, 15, 1, 1 ]
[ 465, 3995, 203, 1070, 3089, 749, 98, 1188, 28135, 527, 4975, 81, 779, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 337, 2269, 30, 46474, 30, 3829, 203, 1070, 3089, 749, 98, 32, 23403, 32, 1840, 32, 525, 1188, 1326, 203, 823, 11837, 81, 6554, 26, 494, 32, 1243, 711, 284, 617, 6815, 280, 330, 7948, 32, 6554, 25, 284, 617, 6057, 280, 301, 291, 330, 16842, 81, 1174, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 16842, 32, 1174, 370, 330, 19601, 7679, 1425, 284, 320, 203, 823, 25943, 81, 1174, 26, 500, 104, 32, 1243, 711, 284, 617, 6815, 280, 313, 16842, 32, 1174, 20, 284, 665, 617, 6821, 81, 15175, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 1600, 81, 426, 30, 1638, 30, 1619, 47, 2521, 711, 291, 736, 280, 5436, 346, 291, 436, 2532, 328, 630, 32, 14304, 26, 2446, 30, 12373, 30, 9668, 30, 1619, 47, 1819, 711, 324, 736, 77, 1174, 32, 314, 79, 280, 629, 26, 1036, 26, 94, 32, 2445, 81, 103, 418, 81, 15175, 436, 456, 328, 308, 1174, 32, 12787, 81, 1174, 81, 928, 556, 1605, 2610, 291, 442, 736, 284, 617, 6057, 280, 301, 291, 330, 12787, 81, 1174, 81, 928, 950, 3829, 32, 658, 36, 11374, 26, 324, 330, 16842, 32, 1174, 32, 928, 370, 330, 1174, 81, 314, 370, 324, 802, 1057, 2871, 45682, 11067, 544, 24886, 370, 4283, 47, 1815, 30, 324, 3049, 1057, 2871, 45682, 372, 526, 11067, 544, 322, 9575, 32, 11228, 1395, 646, 526, 1654, 436, 19578, 11664, 6418, 291, 2588, 291, 330, 6821, 81, 10954, 950, 3829, 32, 1126, 2176, 6821, 81, 15175, 30, 827, 1057, 5823, 370, 802, 1057, 9427, 37585, 1425, 291, 330, 7948, 81, 329, 39480, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 7948, 32, 329, 39480, 370, 330, 8633, 4404, 39480, 370, 544, 81, 2560, 1057, 470, 744, 1425, 291, 330, 7948, 81, 1483, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 7948, 32, 6554, 370, 330, 4316, 370, 544, 81, 2560, 1057, 470, 744, 1425, 284, 320, 284, 665, 617, 371, 81, 4275, 26, 784, 30, 5564, 30, 12373, 30, 2532, 30, 1619, 47, 2521, 711, 291, 442, 1605, 284, 665, 617, 371, 81, 12787, 81, 605, 26, 784, 30, 5564, 30, 12373, 30, 2532, 30, 1619, 711, 291, 442, 301, 324, 330, 15699, 950, 2532, 32, 15699, 81, 314, 32, 314, 30, 324, 330, 1174, 950, 2532, 291, 320, 284, 665, 617, 6821, 81, 1809, 81, 2445, 81, 928, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 4054, 81, 314, 47, 2521, 30, 1628, 81, 314, 47, 2521, 30, 1619, 47, 2521, 30, 1115, 5321, 711, 291, 436, 1259, 328, 630, 32, 14304, 26, 2446, 30, 12373, 30, 9668, 30, 1619, 47, 1819, 711, 324, 5880, 280, 41449, 1174, 81, 314, 370, 16509, 1259, 32, 314, 471, 2726, 2445, 81, 314, 370, 16509, 4054, 81, 314, 2177, 324, 415, 1628, 81, 314, 44, 400, 5880, 1454, 41449, 314, 370, 16509, 1628, 81, 314, 2177, 324, 442, 630, 32, 5178, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 10, 5, 5, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 4, 4, 5, 5, 5, 7, 8, 7, 8, 7, 7, 7, 7, 7, 7, 8, 9, 7, 5, 5, 9, 11, 10, 11, 9, 8, 8, 10, 12, 12, 14, 13, 14, 14, 14, 14, 14, 14, 12, 13, 13, 13, 17, 16, 17, 17, 17, 17, 17, 15, 15, 14, 4, 4, 5, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 8, 9, 11, 11, 11, 11, 11, 11, 8, 9, 10, 8, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 9, 9, 9, 8, 8, 9, 11, 11, 8, 9, 11, 11, 11, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 9, 11, 11, 11, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 8, 10, 10, 9, 11, 11, 11, 5, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 9, 9, 7, 9, 10, 10, 10, 8, 9, 6, 6, 6, 9, 9, 7, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 4, 6, 4, 3, 3, 5, 5, 5, 7, 8, 7, 8, 7, 7, 7, 7, 7, 7, 8, 9, 7, 5, 5, 8, 8, 12, 12, 12, 12, 10, 10, 11, 12, 10, 9, 12, 12, 12, 12, 10, 10, 11, 11, 10, 6, 6, 7, 8, 8, 7, 7, 7, 10, 10, 14, 14, 12, 12, 13, 13, 12, 6, 6, 7, 12, 13, 11 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 1, 2, 1, 4, 1, 6, 3, 3, 0, 4, 4, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 5, 5, 1, 1, 2, 0, 0, 1, 2, 2, 5, 5, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 2, 2, 2, 13, 2, 2, 1, 1, 0, 0, 1, 4, 4, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 7, 2, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 5, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 5, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 5, 1, 1, 2, 2, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 3, 3, 0, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 0, 0, 11, 2, 2, 2, 13, 2, 2, 2, 1, 2, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 5, 2, 1, 2, 1, 1, 1, 2, 3, 3, 5, 5, 3, 5, 5, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 5, 5, 1, 5, 5, 2, 0, 2, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 2676, 8886, 203, 1070, 2676, 8886, 32, 2304, 1188, 281, 466, 203, 823, 11233, 620, 44, 203, 202, 589, 1156, 1664, 3207, 784, 30, 343, 30, 20927, 711, 357, 202, 784, 32, 1427, 30, 630, 32, 1427, 668, 280, 343, 30, 20927, 203, 202, 589, 7120, 267, 321, 26, 784, 711, 357, 202, 784, 32, 1427, 32, 426, 280, 630, 32, 1427, 32, 2632, 474, 20869, 474, 630, 32, 1427, 32, 1423, 81, 681, 203, 202, 589, 544, 81, 1877, 26, 784, 711, 357, 202, 1840, 8886, 32, 3815, 81, 2613, 26, 27357, 47, 784, 32, 1427, 32, 2632, 27, 203, 202, 589, 544, 81, 22435, 26, 784, 711, 357, 202, 1840, 8886, 32, 3815, 81, 2613, 26, 27357, 47, 784, 32, 1427, 32, 2632, 27, 203, 589, 1930, 81, 2988, 81, 1786, 81, 1423, 81, 761, 26, 27357, 30, 3261, 47, 2521, 711, 203, 202, 465, 2322, 203, 202, 1070, 2676, 8886, 32, 5558, 1188, 622, 81, 983, 203, 202, 761, 81, 983, 280, 622, 81, 983, 26, 2521, 30, 313, 4216, 620, 392, 745, 12758, 27, 203, 202, 325, 2322, 32, 983, 32, 4658, 26, 761, 81, 983, 711, 357, 202, 13225, 45338, 26, 761, 81, 983, 474, 313, 3425, 5375, 657, 203, 202, 1840, 8886, 32, 1297, 81, 6175, 26, 500, 32, 983, 32, 7781, 26, 761, 81, 983, 490, 203, 202, 2988, 81, 1423, 280, 1524, 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 2676, 8886, 203, 1070, 2676, 8886, 32, 2304, 1188, 281, 410, 30, 281, 466, 30, 2022, 102, 203, 1070, 2676, 8886, 32, 1160, 32, 1427, 1188, 6211, 203, 1070, 2676, 8886, 32, 1160, 32, 687, 1188, 622, 81, 2067, 203, 1070, 2676, 8886, 1188, 3124, 1216, 30, 617, 203, 823, 6028, 4216, 620, 26, 4216, 620, 711, 203, 109, 1423, 111, 47148, 1643, 26, 1423, 47, 1423, 556, 2706, 491, 350, 657, 203, 202, 1793, 2156, 26, 761, 81, 983, 30, 313, 105, 657, 619, 296, 44, 357, 202, 88, 32, 1821, 26, 2988, 81, 1423, 32, 4434, 440, 3310, 31, 42, 2131, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 1, 1, 1, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 9, 8, 9, 7, 7, 8, 9, 9, 6, 6, 7, 7, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 9, 8, 9, 7, 8, 6, 6, 10, 11, 9, 10, 8, 8, 7, 7, 9, 10, 8, 9, 9, 9, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 8, 8, 7, 8, 8, 8, 7, 9, 8, 11, 10, 11, 9, 10, 7, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 8, 8, 7, 8, 8, 8, 7, 9, 8, 11, 10, 11, 9, 10, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 3, 2, 2, 3, 3, 5, 4, 5, 3, 3, 5, 5, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 7, 6, 6, 8, 8, 8, 6, 7, 6, 2, 2, 3, 3, 6, 7, 5, 6, 5, 6, 6, 6, 5, 3, 3, 5, 5, 7, 9, 9, 9, 8, 8, 10, 10, 10, 2, 2, 6, 6, 5, 6, 6, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 8, 7, 2, 2, 5, 5, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 8, 7, 9, 8, 8, 11, 10, 10, 2, 2, 3, 3, 8, 9, 9, 9, 8, 8, 10, 10, 6, 6, 3, 3, 3, 8, 7, 8, 7, 10, 10, 10, 9, 10, 9, 11, 11, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 1, 2, 2, 2, 0, 0, 3, 3, 1, 3, 3, 3, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 3, 3, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 3, 3, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 4, 4, 0, 0, 4, 4, 1, 1, 0, 1, 2, 1, 1, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 4, 4, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 4, 4, 6, 6, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 6, 6, 6, 0, 0, 2, 1, 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 ]
[ 465, 2361, 203, 1070, 638, 1439, 1188, 19548, 479, 10334, 1598, 30, 19548, 479, 10334, 16562, 203, 1070, 638, 1188, 8745, 203, 823, 4517, 16716, 14744, 342, 26, 16815, 479, 10334, 1598, 711, 284, 7120, 2034, 280, 2933, 284, 6089, 280, 301, 291, 330, 2946, 950, 330, 1083, 16716, 14744, 342, 370, 291, 330, 6604, 950, 2107, 71, 4506, 278, 39683, 40388, 785, 284, 320, 284, 665, 1156, 1664, 3207, 784, 30, 2604, 30, 6089, 30, 6985, 81, 965, 30, 6985, 81, 3958, 81, 965, 30, 1202, 711, 291, 2599, 26, 1083, 16716, 14744, 342, 30, 630, 14585, 1664, 3207, 2142, 30, 6089, 27, 291, 630, 32, 6528, 81, 965, 280, 6985, 81, 965, 291, 630, 32, 6528, 81, 3958, 81, 965, 280, 6985, 81, 3958, 81, 965, 291, 630, 32, 678, 280, 1202, 284, 665, 1974, 26, 784, 30, 2197, 26896, 47, 2521, 711, 291, 415, 2197, 26896, 438, 1665, 44, 324, 2197, 26896, 280, 8745, 32, 4997, 52, 35962, 2374, 26896, 346, 291, 2197, 26896, 32, 5078, 710, 1486, 31, 5541, 785, 280, 630, 32, 678, 291, 630, 32, 38891, 280, 1605, 291, 44515, 81, 605, 280, 2361, 32, 12474, 26, 545, 26896, 32, 1357, 26, 784, 32, 6528, 81, 965, 490, 291, 4245, 81, 605, 280, 2361, 32, 12474, 26, 545, 26896, 32, 1357, 26, 784, 32, 6528, 81, 3958, 81, 965, 490, 291, 44515, 81, 605, 280, 301, 101, 710, 314, 12132, 309, 436, 309, 328, 44515, 81, 605, 710, 38891, 26830, 291, 4245, 81, 605, 280, 301, 101, 710, 314, 12132, 309, 436, 309, 328, 4245, 81, 605, 710, 38891, 26830, 291, 44515, 280, 428, 324, 308, 38891, 81, 605, 77, 314, 614, 4245, 81, 605, 77, 314, 1130, 324, 436, 804, 328, 44515, 81, 605, 32, 3494, 346, 291, 1481, 291, 436, 3099, 30, 2287, 328, 44515, 44, 324, 3099, 32, 1877, 26, 1517, 27, 324, 18662, 280, 4517, 16716, 14744, 342, 16562, 26, 1338, 27, 324, 630, 32, 38891, 32, 1689, 26, 13548, 27, 203, 823, 4517, 16716, 14744, 342, 16562, 26, 16815, 479, 10334, 16562, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3099, 711, 291, 2599, 26, 1083, 16716, 14744, 342, 16562, 30, 630, 14585, 1664, 16369, 291, 630, 32, 426, 280, 3099, 710, 1311, 785, 291, 630, 32, 17155, 280, 1897, 26, 1338, 710, 2390, 4902, 17155, 3490, 291, 630, 32, 16457, 225, 280, 1897, 26, 1338, 710, 2390, 4902, 16457, 3490, 291, 630, 32, 84, 35962, 280, 3099, 710, 23724, 4902, 84, 35962, 785, 291, 630, 32, 3994, 280, 3099, 710, 23724, 4902, 26452, 785, 291, 630, 32, 7615, 280, 301, 324, 330, 1890, 950, 3099, 710, 314, 2188, 324, 330, 7441, 950, 3099, 710, 15367, 2188, 291, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 4, 4, 2, 2, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 9, 9, 9, 9, 9, 9, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 6, 5, 6, 4, 3, 3, 5, 7, 6, 6, 5, 5, 5, 9, 8, 8, 10, 11, 11, 11, 11, 11, 10, 4, 4, 9, 8, 9, 7, 9, 9, 9, 9, 6, 6, 7, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 7, 6, 6, 8, 9, 8, 11, 11, 10, 11, 10, 12, 11, 12, 12, 12, 10, 4, 4, 7, 7, 6, 6, 8, 9, 8, 11, 11, 10, 11, 10, 12, 11, 12, 12, 12, 12, 12, 10, 4, 4, 7, 7, 6, 6, 10, 9, 11, 11, 8, 7, 8, 8, 8, 10, 10, 9, 11, 11, 4, 4, 7, 7, 6, 6, 10, 9, 11, 11, 8, 7, 8, 8, 8, 10, 10, 9, 11, 11, 4, 4, 6, 6, 7, 7, 10, 10, 10, 9, 10, 9, 8, 10, 10, 9, 10, 9, 7, 7, 8, 8, 8, 11, 11, 10, 11, 10, 7, 7, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 9, 10, 9, 10, 9, 6, 6, 8, 8, 10, 10, 10, 10, 10, 11, 10, 6, 6, 10, 11, 9, 10, 9, 10, 9, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 6, 6, 7, 9, 9, 4, 4, 7, 8, 6, 6, 8, 11, 10, 12, 12, 11, 11, 4, 4, 7, 8, 6, 6, 6, 8, 11, 10, 12, 12, 11, 11, 4, 4, 7, 8, 8, 6, 6, 8, 10, 10, 9, 9, 9, 4, 4, 7, 8, 6, 6, 8, 10, 10, 9, 9, 4, 4, 7, 8, 6, 6, 7, 7, 10, 10, 8, 9, 11, 11, 7, 7, 10, 10, 8, 9, 11, 11, 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 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 2, 9, 9, 9, 9, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 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, 4, 4, 3, 2, 1, 2, 2, 0, 3, 2, 2, 3, 3, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 3, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 3, 1, 2, 4, 4, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 3, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 4, 4, 8, 1, 1, 8, 8, 8, 8, 8, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 2, 0, 2, 1, 1, 1, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 4, 4, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 1, 2, 1, 2, 4, 4, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 7138, 203, 465, 31074, 203, 465, 802, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 1199, 32, 3378, 1188, 1910, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 30, 7051, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 28771, 1188, 2364, 81, 2853, 203, 1070, 8527, 32, 7147, 1188, 13564, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 1070, 8527, 32, 2387, 32, 1536, 9211, 1188, 17310, 1147, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 30664, 32, 3378, 1188, 6211, 203, 1070, 8446, 32, 3378, 1188, 14533, 203, 1070, 323, 7163, 32, 2304, 1188, 13731, 1572, 30, 13731, 1625, 885, 203, 823, 12831, 1572, 26, 6510, 1572, 711, 284, 665, 4523, 26, 784, 711, 291, 442, 630, 32, 2029, 26, 496, 505, 297, 81, 2480, 47, 1815, 27, 284, 665, 28459, 26, 784, 711, 291, 442, 630, 32, 2029, 26, 496, 505, 297, 81, 2480, 47, 2700, 27, 284, 665, 28459, 81, 3647, 483, 26, 784, 711, 291, 442, 630, 32, 2029, 26, 496, 505, 297, 81, 2480, 47, 2700, 30, 323, 4073, 47, 2700, 27, 284, 665, 28459, 81, 5224, 7983, 26, 784, 711, 291, 442, 630, 32, 2029, 26, 496, 505, 297, 81, 2480, 47, 2700, 30, 323, 4073, 47, 1815, 27, 284, 665, 4523, 81, 363, 81, 24465, 81, 3647, 483, 26, 784, 711, 291, 442, 630, 32, 2029, 26, 84, 4073, 47, 2700, 27, 284, 665, 5093, 483, 26, 784, 711, 291, 442, 630, 32, 2480, 922, 2029, 26, 84, 4073, 47, 2700, 27, 284, 665, 12586, 7983, 26, 784, 711, 4456, 442, 630, 32, 2480, 922, 2029, 26, 84, 4073, 47, 1815, 27, 284, 665, 12586, 7983, 81, 1793, 81, 8224, 26, 784, 711, 291, 442, 630, 32, 5224, 7983, 922, 1613, 81, 10513, 463, 496, 1814, 2029, 26, 400, 1256, 505, 17274, 81, 2393, 12837, 505, 1517, 347, 14554, 392, 400, 1256, 505, 17274, 81, 2393, 12837, 505, 681, 347, 1526, 392, 324, 6804, 31296, 26, 400, 3796, 12837, 81, 8224, 81, 998, 47, 3378, 32, 1534, 463, 496, 505, 17274, 81, 2393, 12837, 1425, 400, 6615, 81, 1526, 47, 3378, 32, 2708, 26, 528, 330, 496, 505, 17274, 81, 2393, 12837, 505, 770, 81, 15557, 25, 400, 2588, 324, 6804, 1174, 81, 1170, 463, 2751, 81, 426, 683, 284, 665, 12586, 7983, 81, 1793, 81, 16845, 26, 784, 711, 291, 442, 630, 32, 5224, 7983, 922, 1613, 81, 10513, 463, 496, 1814, 2029, 26, 400, 1256, 505, 17274, 81, 2393, 12837, 505, 1517, 347, 14554, 392, 400, 1256, 505, 17274, 81, 2393, 12837, 505, 681, 347, 3959, 392, 324, 6804, 31296, 26, 400, 3796, 12837, 81, 8224, 81, 998, 47, 3378, 32, 1534, 463, 496, 505, 17274, 81, 2393, 12837, 1425, 400, 6615, 81, 1526, 47, 3378, 32, 2708, 26, 528, 330, 496, 505, 17274, 81, 2393, 12837, 505, 770, 81, 15557, 25, 400, 2588, 324, 6804, 1174, 81, 1170, 463, 2751, 81, 426, 683, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 7, 8, 7, 9, 9, 9, 9, 9, 8, 9, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 7, 9, 9, 9, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 9, 9, 9, 9, 9, 8, 9, 7, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 9, 9, 9, 9, 9, 8, 9, 7, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 8, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 8, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 15, 16, 16, 15, 14, 14, 14, 13, 15, 15, 12, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 12, 14, 14, 11, 11, 13, 13, 13, 13, 13, 13, 13, 12, 14, 14, 11, 11, 10, 9, 9, 9, 11, 11, 11, 11, 11, 10, 13, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 9, 9, 11, 11, 10, 13, 12, 13, 12, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 9, 9, 8, 8, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 15, 16, 16, 15, 14, 14, 14, 13, 15, 15, 12, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 12, 14, 14, 11, 11, 13, 13, 13, 13, 13, 13, 13, 12, 14, 14, 11, 11, 10, 9, 9, 9, 11, 11, 11, 11, 11, 10, 13, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 9, 9, 11, 11, 10, 13, 12, 13, 12, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 9, 9, 8, 8, 8, 7, 9, 9, 9, 9, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 0, 7, 7, 1, 2, 1, 4, 1, 6, 7, 7, 0, 0, 0, 8, 8, 1, 2, 8, 8, 0, 9, 9, 1, 2, 1, 4, 4, 9, 9, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 3, 3, 0, 11, 11, 1, 2, 1, 4, 4, 11, 11, 0, 0, 12, 12, 1, 2, 12, 12, 0, 13, 13, 1, 2, 13, 13, 0, 14, 14, 1, 2, 14, 14, 0, 15, 15, 0, 1, 2, 15, 15, 0, 15, 15, 0, 0, 0, 16, 16, 1, 2, 1, 1, 2, 16, 16, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 3, 2, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 3, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 1, 0, 0, 1, 2, 1, 4, 4, 5, 1, 2, 1, 2, 5, 5, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 4, 4, 6, 1, 2, 1, 2, 6, 6, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 4, 4, 7, 1, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 3, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 8, 1, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 3, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 4 ]
[ 1070, 3363, 1188, 44524, 203, 1070, 10020, 10328, 32, 716, 32, 14510, 1188, 4159, 203, 1070, 10020, 10328, 32, 716, 32, 14510, 1188, 5296, 203, 1070, 10020, 10328, 32, 1274, 1188, 5548, 203, 465, 13092, 203, 465, 6436, 619, 2065, 203, 1070, 638, 2282, 1188, 4705, 81, 1126, 30, 40688, 81, 1126, 261, 203, 1070, 10020, 10328, 32, 716, 1188, 32431, 203, 1070, 10020, 10328, 32, 2304, 32, 8524, 32, 5301, 81, 11176, 1188, 35890, 81, 14507, 10028, 30, 35890, 81, 11413, 38, 261, 203, 325, 35890, 81, 11413, 38, 44, 284, 645, 14208, 38, 1188, 39231, 30, 8560, 5965, 203, 50, 12408, 32, 1826, 32, 5961, 325, 463, 1206, 35890, 81, 11413, 38, 683, 203, 589, 894, 81, 30122, 800, 2262, 284, 31628, 280, 39231, 10385, 916, 772, 1816, 855, 1816, 772, 1548, 772, 98, 48, 3986, 377, 98, 855, 1548, 855, 916, 10154, 656, 330, 916, 32, 3922, 683, 284, 31628, 81, 466, 280, 4159, 32, 32101, 652, 26, 30122, 27, 284, 1201, 6937, 26, 30122, 81, 466, 30, 596, 27, 284, 1201, 6937, 26, 30122, 81, 466, 30, 4159, 32, 32101, 652, 27, 284, 1201, 31628, 81, 466, 610, 4145, 916, 772, 1816, 855, 1816, 772, 1548, 772, 98, 48, 3986, 377, 98, 855, 1548, 855, 916, 6457, 284, 1201, 31628, 81, 466, 32, 30122, 438, 31628, 203, 589, 894, 81, 668, 7572, 2262, 284, 20265, 280, 1605, 284, 7272, 280, 4159, 32, 720, 3976, 26, 9980, 27, 284, 436, 595, 328, 2155, 26, 39, 711, 291, 7272, 32, 1821, 26, 91, 27, 284, 436, 663, 328, 330, 8183, 286, 950, 291, 7272, 32, 1821, 26, 380, 27, 284, 1201, 20265, 610, 428, 34, 30, 225, 35, 30, 225, 36, 30, 225, 37, 30, 225, 38, 30, 330, 83, 370, 330, 84, 370, 330, 85, 370, 330, 86, 370, 330, 87, 785, 203, 50, 12408, 32, 1826, 32, 5961, 325, 463, 1206, 35890, 81, 11413, 38, 683, 203, 589, 894, 81, 36685, 81, 1274, 2262, 284, 31628, 280, 39231, 10385, 916, 772, 1548, 855, 1548, 855, 916, 10154, 330, 916, 32, 3922, 683, 284, 1201, 4159, 32, 36685, 81, 1274, 26, 30122, 30, 6663, 225, 34, 27, 438, 3177, 284, 1201, 4159, 32, 36685, 81, 1274, 26, 2521, 30, 6663, 225, 34, 27, 438, 3177, 284, 31628, 280, 39231, 10385, 1274, 804, 347, 3986, 1342, 359, 772, 349, 48, 51, 377, 349, 855, 359, 772, 359, 6457, 656, 4145, 671, 48, 52, 377, 671, 855, 359, 855, 1274, 10154, 330, 916, 32, 3922, 1814, 1274, 284, 1201, 4159, 32, 36685, 81, 1274, 26, 30122, 30, 6663, 225, 36, 27, 438, 3177, 284, 1201, 4159, 32, 36685, 81, 1274, 26, 30122, 30, 6663, 225, 35, 27, 438, 2933, 10065, 1201, 4159, 32, 36685, 81, 1274, 26, 30122, 30, 5053, 1274, 81, 314, 950, 225, 36, 835, 225, 35, 27, 438, 3177, 284, 1201, 4159, 32, 36685, 81, 1274, 26, 30122, 30, 5053, 1274, 81, 314, 950, 225, 35, 835, 225, 35, 27, 438, 2933, 284, 1201, 4159, 32, 36685, 81, 1274, 26, 30122, 30, 5053, 1274, 81, 314, 950, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 0, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 5, 3, 3, 3, 3, 5, 0, 2, 6, 5, 6, 4, 5, 5, 4, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 3, 3, 6, 6, 5, 5, 7, 8, 8, 7, 8, 7, 3, 3, 4, 6, 7, 7, 7, 6, 6, 6, 3, 3, 4, 6, 7, 7, 7, 6, 6, 7, 8, 8, 6, 3, 3, 4, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 7, 7, 6, 7, 5, 5, 0, 1, 1, 2, 2, 2, 2, 1, 1, 4, 4, 2, 2, 4, 4, 6, 7, 7, 6, 7, 6, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 7, 8, 7, 8, 7, 2, 2, 3, 3, 3, 5, 5, 5, 3, 3, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 0, 2, 6, 5, 6, 4, 5, 5, 4, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 3, 3, 4, 7, 8, 8, 8, 7, 8, 7, 7, 7, 8, 7, 5, 5, 3, 3, 4, 7, 8, 8, 8, 7, 8, 7, 7, 7, 8, 7, 5, 5, 3, 3, 5, 5, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 10, 10, 10, 10, 7, 3, 3, 4, 7, 8, 8, 8, 7, 8, 7, 7, 7, 8, 7, 5, 5, 3, 3, 4, 7, 8, 8, 8, 7, 8, 7, 7, 7, 8, 7, 5, 5, 3, 3, 4, 7, 8, 8, 8, 7, 8, 7, 7, 11, 11, 11, 11, 9, 10, 8, 7, 8, 7, 5, 5, 3, 3, 4, 7, 8, 8, 8, 7, 8, 7, 7, 11, 11, 11, 11, 9, 10, 8, 7, 8, 7, 5, 5, 3, 3, 4, 7, 8, 8, 8, 7, 8, 7, 7, 11, 11, 11, 11, 9 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 5, 5, 1, 1, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 8, 8, 0, 1, 2, 1, 4, 1, 6, 6, 6, 8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 9, 9, 1, 1, 1, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 10, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 0, 0, 0, 2, 1, 1, 0, 11, 11, 1, 1, 1, 2, 11, 11, 0, 0, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 4, 4, 3, 3, 3, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 4, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 12, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 5, 1, 1, 1, 4, 4, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 5, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 5, 1, 1, 1, 4, 4, 5, 0, 2, 2, 2, 1, 1, 1, 1, 1, 5, 1, 1, 1, 4, 4, 6, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 1, 5, 1, 1, 1, 4, 4, 7, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 1, 5, 1, 1, 1, 4, 4, 8, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1 ]
[ 9592, 85, 1691, 22480, 668, 11589, 1692, 2297, 32, 203, 2272, 1395, 1755, 526, 1654, 22678, 810, 322, 2043, 2297, 48256, 203, 465, 42406, 203, 465, 1532, 3006, 203, 465, 1532, 2282, 32, 1813, 1439, 203, 465, 1532, 2282, 32, 3959, 203, 823, 3903, 26, 1473, 711, 284, 5881, 1761, 443, 436, 10297, 5216, 1654, 328, 322, 2043, 48256, 284, 2803, 280, 1605, 284, 665, 1156, 1664, 3207, 784, 30, 2043, 30, 1411, 30, 636, 30, 5868, 30, 1913, 81, 1959, 47, 2521, 711, 291, 630, 1114, 1580, 280, 2043, 291, 415, 1411, 646, 328, 630, 1114, 1580, 32, 5057, 44, 324, 630, 1114, 1580, 32, 5057, 77, 1959, 79, 280, 5436, 26, 1700, 47, 34, 30, 1769, 47, 34, 30, 3380, 47, 34, 27, 291, 630, 1114, 1580, 32, 5057, 77, 1959, 5795, 2999, 785, 1454, 225, 35, 291, 630, 1114, 1580, 32, 5057, 77, 1959, 5795, 1700, 785, 1454, 225, 35, 291, 1550, 280, 630, 1114, 1580, 32, 5057, 77, 1959, 5795, 1700, 785, 291, 415, 1550, 848, 630, 1114, 1580, 32, 5057, 77, 1959, 5795, 1449, 12132, 324, 630, 1114, 1580, 32, 5057, 77, 1959, 5795, 1449, 785, 280, 1550, 291, 630, 32, 1959, 280, 1411, 291, 630, 32, 426, 280, 636, 291, 630, 32, 5457, 280, 5868, 291, 630, 32, 525, 81, 1959, 280, 1913, 81, 1959, 556, 1411, 32, 7607, 346, 291, 630, 32, 2208, 81, 1986, 280, 2933, 291, 630, 32, 3959, 280, 1532, 2282, 32, 3959, 32, 4290, 346, 291, 630, 32, 605, 280, 1665, 291, 630, 32, 10454, 280, 1665, 291, 630, 32, 11965, 280, 1665, 291, 630, 32, 10454, 81, 11965, 280, 1665, 291, 630, 32, 1055, 81, 314, 280, 1665, 291, 630, 32, 2157, 81, 314, 280, 1665, 291, 630, 32, 12596, 280, 1665, 291, 630, 1114, 24616, 280, 1665, 291, 630, 1114, 44678, 280, 1665, 291, 630, 1114, 297, 81, 1696, 280, 1665, 284, 665, 1156, 4025, 3207, 784, 711, 291, 415, 19326, 26, 784, 30, 7610, 1580, 7831, 324, 630, 1114, 1580, 32, 5057, 77, 784, 32, 1959, 5795, 1700, 785, 5912, 225, 35, 291, 415, 19326, 26, 784, 30, 330, 3959, 683, 461, 2069, 26, 784, 32, 3959, 32, 5507, 27, 848, 225, 34, 44, 324, 630, 1114, 1580, 32, 751, 32, 1338, 463, 3959, 904, 101, 370, 630, 32, 3959, 27, 284, 477, 2433, 284, 665, 1984, 26, 784, 711, 291, 5881, 6669, 312, 3834, 436, 458, 1692, 48256, 291, 1984, 280, 3056, 23, 101, 25, 904, 630, 32, 426, 291, 17584, 280, 330, 19067, 291, 436, 4356, 328, 630, 32, 2132, 44, 324, 786, 280, 18623, 26, 784, 30, 4356, 27, 324, 415, 786, 438, 646, 1665, 44, 400, 1984, 280, 6611, 101, 23, 101, 23, 101, 6132, 101, 25, 904, 308, 965, 30, 17584, 30, 4356, 30, 786, 27, 400, 17584, 280, 15441, 25, 291, 442, 1984, 284, 665, 24840, 26, 784, 30, 24840, 47, 2521, 711, 291, 5881, 936, 556, 739, 322, 24840, 436, 458, 1692, 48256, 291, 415, 24840, 438, 646, 1665, 44, 324, 630, 1114, 24616, 280, 24840, 324, 442, 291, 415, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 5, 6, 6, 6, 8, 9, 7, 8, 5, 5, 5, 11, 12, 10, 11, 9, 10, 9, 8, 8, 10, 12, 11, 12, 10, 10, 11, 12, 10, 10, 11, 12, 10, 4, 4, 10, 11, 9, 10, 8, 9, 8, 9, 9, 6, 6, 7, 4, 4, 10, 11, 9, 10, 8, 9, 8, 9, 9, 6, 6, 7, 4, 4, 6, 6, 10, 11, 9, 10, 8, 9, 8, 9, 9, 4, 4, 5, 6, 6, 10, 11, 9, 10, 8, 9, 8, 9, 9, 5, 5, 12, 13, 11, 12, 10, 11, 10, 11, 11, 8, 8, 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, 8, 8, 7, 7, 9, 10, 9, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 10, 9, 10, 8, 9, 8, 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, 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, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 7, 9, 9, 5, 5, 12, 13, 11, 12, 10, 12, 11, 12, 10, 11, 11, 8, 8, 9, 4, 4, 5, 8, 9, 8, 8, 10, 10, 6, 6, 9, 12, 11, 12, 10, 11, 9, 7, 7, 8, 5, 5, 5, 11, 12, 10, 11, 9, 10, 9, 11, 11, 11, 11, 9, 10, 11, 9, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 10, 10, 10, 8, 8, 9, 10, 5, 5, 7, 7, 9, 5, 5, 6, 6, 6, 7, 8, 6, 6, 6, 9, 9, 11, 12, 11, 11, 11, 7, 7, 8, 9, 9, 9, 8, 8, 8, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 13, 13, 13, 13, 13, 13, 13, 9, 9, 11, 11, 13, 5, 5, 6, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 6, 6, 6, 5, 5, 5, 9, 10, 8, 8, 6, 6, 4, 4, 5 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 2, 0, 4, 4, 0, 1, 2, 0, 5, 5, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 11, 2, 2, 2, 2, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 4, 4, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 4, 4, 5, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 5, 5, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 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, 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, 3, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 1, 4, 4, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 2, 4, 4, 4, 4, 4, 5, 2, 1, 2, 2, 3, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 3, 3, 4, 4, 2 ]
[ 505, 2116, 505, 280, 330, 290, 1771, 1155, 50, 2175, 32, 508, 308, 12542, 18551, 266, 1155, 9905, 203, 465, 15798, 203, 1070, 9270, 32, 3938, 1188, 1474, 203, 1070, 9270, 32, 3938, 32, 3259, 1188, 7671, 81, 1643, 203, 823, 24517, 2207, 1006, 26, 18986, 32, 7233, 711, 334, 665, 894, 9004, 2633, 26, 784, 711, 284, 1600, 81, 2171, 280, 225, 34, 106, 8183, 284, 2604, 81, 681, 280, 225, 36, 284, 630, 32, 5299, 1162, 1495, 81, 2171, 1264, 225, 37, 27, 523, 2604, 81, 681, 30, 3486, 7671, 81, 1643, 32, 9004, 2633, 26, 1495, 81, 2171, 30, 2604, 81, 681, 490, 284, 14096, 2633, 280, 7671, 81, 1643, 32, 9004, 2633, 284, 630, 32, 23895, 26, 1436, 32, 10807, 924, 30, 14096, 2633, 30, 1600, 81, 2171, 30, 225, 40, 27, 284, 630, 32, 23895, 26, 1436, 32, 10807, 924, 30, 14096, 2633, 30, 1600, 81, 2171, 30, 429, 35, 27, 334, 665, 894, 43497, 2633, 26, 784, 711, 284, 436, 2799, 81, 1495, 81, 2171, 328, 308, 35, 30, 225, 35, 39, 30, 225, 35, 40, 30, 225, 36, 34, 38, 41, 30, 225, 36, 34, 38, 42, 711, 397, 436, 2799, 81, 11411, 81, 681, 328, 2155, 26, 40, 711, 16189, 1600, 81, 2171, 30, 7671, 81, 681, 280, 7671, 81, 1643, 32, 43497, 2633, 26, 324, 7671, 81, 1643, 32, 9004, 2633, 26, 3140, 81, 1495, 81, 2171, 30, 2799, 81, 11411, 81, 681, 490, 291, 630, 32, 5299, 26, 3140, 81, 1495, 81, 2171, 30, 1600, 81, 2171, 27, 291, 630, 32, 5299, 26, 3140, 81, 11411, 81, 681, 30, 7671, 81, 681, 27, 284, 630, 32, 23895, 26, 18082, 30, 7671, 81, 1643, 32, 43497, 2633, 30, 1665, 27, 284, 630, 32, 23895, 26, 18082, 30, 7671, 81, 1643, 32, 43497, 2633, 30, 330, 8183, 683, 284, 630, 32, 23895, 26, 18082, 30, 7671, 81, 1643, 32, 43497, 2633, 30, 225, 34, 32, 34, 27, 284, 630, 32, 23895, 26, 18082, 30, 7671, 81, 1643, 32, 43497, 2633, 30, 1300, 1157, 334, 665, 894, 76, 365, 76, 481, 10807, 26, 784, 711, 284, 2523, 280, 7671, 81, 1643, 32, 76, 365, 76, 481, 10807, 284, 630, 32, 5299, 26, 34, 30, 2523, 26, 34, 490, 284, 630, 32, 5299, 26, 35, 30, 2523, 3736, 35, 490, 284, 630, 32, 5299, 26, 36, 30, 2523, 26, 35, 490, 284, 630, 32, 5299, 26, 37, 30, 2523, 3736, 36, 490, 284, 630, 32, 5299, 26, 38, 30, 2523, 26, 36, 490, 284, 630, 32, 5299, 26, 34, 26175, 30, 2523, 26, 34, 106, 41, 22499, 490, 284, 630, 32, 5299, 26, 34, 7465, 30, 2523, 3736, 34, 106, 42, 34, 34, 34, 34, 34, 34, 34, 490, 284, 630, 32, 5299, 26, 34, 7465, 14074, 1225, 30, 2523, 26, 34, 106, 41, 20629, 22499, 490, 284, 630, 32, 5299, 26, 34, 7465, 20629, 30, 2523, 3736, 34, 106, 42, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 490, 284, 630, 32, 23895, 26, 18082, 30, 2523, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 7, 4, 4, 7, 7, 6, 6, 7, 4, 4, 7, 8, 7, 11, 11, 11, 10, 10, 11, 9, 8, 8, 9, 9, 7, 7, 7, 10, 10, 9, 10, 10, 9, 10, 10, 10, 9, 9, 10, 10, 9, 4, 4, 7, 6, 6, 8, 8, 7, 8, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 7, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 7, 7, 8, 8, 7, 7, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 6, 6, 5, 5, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 6, 5, 5, 7, 8, 8, 8, 8, 7, 7, 9, 10, 9, 7, 7, 12, 12, 11, 11, 12, 12, 10, 10, 13, 13, 12, 13, 13, 12, 12, 12, 15, 15, 14, 15, 15, 14, 15, 15, 15, 15, 15, 14, 14, 15, 15, 15, 15, 14, 8, 8, 11, 12, 11, 12, 12, 12, 12, 12, 11, 11, 12, 12, 11, 8, 8, 11, 12, 11, 12, 12, 12, 12, 12, 11, 11, 12, 12, 11, 4, 4, 7, 8, 7, 8, 7, 7, 9, 9, 8, 9, 9, 7, 7, 7, 4, 4, 7, 8, 7, 8, 7, 7, 9, 9, 8, 9, 9, 7, 7, 9, 9, 4, 4, 7, 8, 7, 8, 7, 7, 9, 9, 8, 9, 9, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 9, 9, 8, 9, 9, 7, 7, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 7, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 8, 7, 7, 9, 10, 9, 4, 4, 7, 8, 7, 8, 7, 7, 9, 11, 9, 4, 4, 7, 8, 7, 8, 7, 7, 9, 10, 9, 4, 4, 7, 8, 7, 8, 7, 7, 9, 11, 9, 4, 4, 7, 8, 7, 8, 7, 7, 9, 10, 9, 4, 4, 7, 8, 7, 8, 8, 7, 7, 9, 10, 10, 10, 10, 9, 4, 4, 7, 8, 7, 8, 8, 7, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 4, 4, 7, 8, 7, 8, 8, 8, 8, 7, 7, 9, 10, 10, 10, 10, 10, 9, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 4, 4, 7, 8, 7, 8, 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, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 1, 1, 5, 5, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 3, 3, 3, 5, 5, 3, 3, 7, 7, 7, 7, 3, 3, 9, 9, 9, 9, 3, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 1, 1, 5, 5, 5, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1 ]
[ 465, 15798, 203, 1070, 894, 1188, 2193, 203, 1070, 894, 32, 858, 81, 39362, 36, 1188, 24041, 929, 550, 426, 36, 965, 203, 465, 2322, 203, 465, 6234, 203, 465, 22045, 32, 731, 203, 465, 22045, 32, 1357, 203, 465, 5237, 203, 1270, 44, 284, 1188, 17778, 203, 7343, 29986, 44, 284, 17778, 280, 1665, 203, 3592, 32, 13966, 440, 4573, 657, 203, 14247, 280, 225, 40, 34, 261, 203, 589, 617, 13558, 81, 28384, 565, 26, 1298, 30, 13489, 30, 319, 1132, 30, 1115, 5321, 711, 284, 436, 595, 328, 2155, 26, 37, 711, 291, 1596, 44, 324, 442, 3420, 2740, 1132, 30, 1115, 5321, 27, 291, 2940, 13489, 619, 484, 44, 324, 2401, 81, 14806, 280, 484, 324, 4036, 291, 2940, 44, 324, 3636, 284, 3636, 2401, 81, 14806, 203, 589, 617, 4071, 81, 1793, 81, 13558, 81, 28384, 565, 26, 1298, 30, 13489, 711, 284, 665, 16283, 2740, 1132, 30, 1115, 5321, 711, 291, 442, 617, 13558, 81, 28384, 565, 26, 1298, 30, 13489, 30, 319, 1132, 30, 1115, 5321, 27, 284, 442, 16283, 203, 81, 305, 33786, 81, 1793, 81, 13558, 280, 617, 4071, 81, 1793, 81, 13558, 81, 28384, 565, 26, 39362, 32, 1357, 32, 305, 33786, 30, 13588, 22045, 32, 731, 32, 1263, 43189, 27, 203, 823, 6227, 4470, 26, 18986, 32, 7233, 711, 203, 823, 11910, 5264, 1006, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 2679, 26, 784, 711, 291, 1984, 280, 313, 525, 555, 1499, 32, 2763, 32, 508, 5681, 291, 623, 2193, 32, 36767, 81, 28783, 26, 965, 711, 324, 1789, 280, 617, 305, 33786, 81, 1793, 81, 13558, 26, 965, 27, 324, 13363, 280, 1789, 32, 4426, 324, 630, 32, 14846, 26, 9184, 32, 10687, 27, 324, 1789, 32, 2679, 346, 324, 630, 32, 6549, 26, 9184, 32, 10687, 27, 203, 823, 7859, 4711, 4470, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 415, 225, 34, 44, 23688, 1188, 5741, 324, 4082, 280, 5741, 32, 10579, 440, 858, 81, 39362, 36, 1299, 657, 324, 4082, 32, 669, 1972, 26, 7490, 32, 1862, 1972, 1157, 284, 665, 894, 81, 14123, 26, 784, 711, 291, 19990, 280, 428, 324, 330, 14123, 555, 14123, 32, 20013, 32, 1088, 33, 20013, 33, 10229, 370, 324, 2726, 14123, 555, 14123, 32, 20013, 32, 1088, 33, 20013, 33, 3780, 31, 29801, 31, 761, 370, 1802, 1665, 30, 22045, 32, 731, 32, 1263, 43189, 471, 324, 330, 14123, 555, 12168, 14976, 32, 17535, 32, 980, 18543, 32, 508, 33, 2862, 33, 14221, 33, 12784, 25, 400, 3056, 17535, 31, 13775, 33, 34, 34, 10229, 31, 30053, 31, 9154, 31, 29831, 370, 324, 1481, 291, 630, 1114, 858, 81, 11400, 26, 11400, 30, 630, 1114, 7615, 81, 14458, 1157, 284, 665, 894, 81, 761, 26, 784, 711, 291, 5895, 8044, 280, 2193, 32, 3765, 8044, 291, 296, 280, 2156, 26, 3765, 8044, 30, 330, 105, 683, 291, 1596, 44, 324, 296, 32, 1821, 463, 4980, 2017, 78, 96, 683, 324, 296, 32, 2679, 346, 324, 19990, 280, 428, 400, 330, 761, 6078, 474, 24041 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 5, 5, 0, 4, 3, 4, 3, 5, 5, 0, 3, 2, 2, 3, 3, 0, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 3, 3, 5, 6, 5, 3, 3, 5, 5, 5, 7, 9, 11, 9, 9, 11, 9, 5, 5, 6, 7, 7, 6, 6, 6, 10, 10, 9, 9, 7, 7, 5, 5, 6, 6, 6, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 6, 4, 4, 6, 4, 3, 3, 5, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 9, 7, 7, 9, 7, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 7, 5, 6, 6, 4, 4, 4, 6, 7, 5, 6, 6, 4, 0, 1, 1, 2, 2, 4, 3, 4, 2, 0, 1, 1, 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, 4, 4, 5, 9, 10, 10, 10, 9, 10, 9, 5, 5, 8, 8, 10, 10, 10, 10, 10, 10, 10, 11, 10, 6, 6, 8, 8, 9, 10, 6, 6, 9, 10, 9, 11, 10, 11, 9, 6, 6, 9, 10, 9, 6, 6, 9, 10, 9, 11, 10, 11, 9, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 6, 5, 5, 5, 7, 6, 6, 8, 8, 10, 11, 10, 12, 12, 12, 12, 12, 12, 6, 6, 9, 10, 10, 9, 12, 11, 12, 12, 11, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 8, 10, 11, 9, 10, 10, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 7, 8, 8, 4, 4, 6, 6, 8, 9, 9, 8, 8, 10, 10, 4, 4, 5, 5, 5, 9, 10, 9, 11, 11, 12, 12, 11, 6, 6, 9, 10, 9, 6, 6, 8, 8, 9, 9, 12, 12, 10, 10 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 0, 6, 6, 1, 2, 0, 7, 7, 0, 8, 8, 8, 8, 0, 8, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 11, 11, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 11, 11, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 4, 4, 4, 4, 4, 1, 1, 1, 0, 12, 12, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 12, 12, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 3, 2, 2, 1, 0, 14, 14, 1, 2, 0, 1, 2, 2, 0, 15, 15, 1, 1, 2, 0, 1, 2, 2, 15, 15, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 2, 2, 3, 3, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 2, 1, 3, 3, 0, 2, 1, 0, 1, 2, 1, 0, 16, 16, 1, 1, 2, 0, 1, 2, 2, 16, 16, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 1, 0, 0, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 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, 2, 3, 3, 3, 3, 0, 2, 5, 2, 2, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1 ]
[ 465, 1133, 30, 16539, 30, 2919, 2208, 30, 5237, 30, 6234, 30, 2322, 203, 3731, 32, 983, 32, 1689, 15382, 657, 203, 465, 540, 858, 619, 540, 858, 203, 19596, 263, 280, 313, 37325, 4939, 2998, 346, 203, 1693, 2033, 280, 2156, 4207, 1902, 33, 1693, 392, 313, 105, 657, 203, 2174, 202, 2033, 280, 308, 1003, 32, 302, 27749, 26, 1003, 32, 1696, 1003, 26, 1003, 32, 1003, 5156, 547, 3227, 440, 17693, 81, 657, 203, 38364, 958, 280, 6910, 4882, 33, 8288, 33, 268, 771, 858, 81, 4295, 16335, 101, 16335, 101, 20, 904, 308, 4817, 32, 44239, 649, 426, 23296, 2464, 27, 203, 626, 3647, 264, 280, 7915, 19, 1420, 623, 313, 203, 37325, 3647, 280, 10698, 287, 19, 1420, 39544, 623, 313, 203, 416, 3647, 264, 280, 4825, 3845, 203, 589, 12946, 81, 3731, 81, 1851, 26, 1132, 30, 963, 47, 2521, 30, 1137, 47, 2521, 30, 4921, 47, 2521, 711, 334, 1459, 313, 2493, 44, 313, 474, 313, 4939, 2524, 26, 1132, 27, 334, 442, 16539, 32, 1851, 26, 1132, 30, 12532, 47, 541, 30, 16154, 47, 530, 30, 24390, 47, 1515, 27, 203, 589, 10932, 81, 939, 101, 26, 1515, 30, 761, 30, 30149, 30, 1003, 30, 22290, 30, 4545, 30, 487, 94, 1414, 711, 334, 415, 28805, 44, 963, 280, 744, 334, 813, 44, 963, 280, 1665, 334, 415, 1133, 44, 1133, 280, 3037, 1003, 1446, 334, 813, 44, 1133, 280, 1605, 334, 415, 456, 4545, 44, 456, 4545, 280, 3037, 287, 20, 474, 296, 436, 296, 328, 456, 4545, 79, 334, 13458, 5123, 2106, 81, 4545, 280, 1605, 334, 308, 6161, 30, 29614, 27, 280, 2322, 32, 983, 32, 2998, 26, 761, 27, 334, 1596, 44, 284, 2322, 32, 27428, 26, 500, 32, 983, 32, 2524, 26, 1515, 30, 6161, 30, 2296, 37325, 2131, 334, 2940, 546, 21887, 44, 284, 3097, 334, 963, 280, 2156, 26, 500, 32, 983, 32, 2524, 26, 1515, 30, 6161, 30, 2296, 37325, 392, 7368, 27, 474, 4939, 751, 392, 313, 105, 657, 334, 13675, 225, 280, 12946, 81, 3731, 81, 1851, 26, 1003, 474, 10932, 474, 5736, 474, 456, 4545, 474, 13458, 5123, 2106, 81, 4545, 474, 428, 761, 614, 715, 963, 47, 2521, 30, 1137, 47, 27958, 32, 39790, 30, 4921, 47, 1515, 27, 334, 963, 32, 2679, 346, 334, 442, 13675, 203, 589, 1420, 81, 1423, 26, 761, 30, 22290, 711, 334, 415, 28805, 44, 963, 280, 744, 334, 813, 44, 963, 280, 1665, 334, 442, 12946, 81, 3731, 81, 1851, 26, 761, 30, 963, 27, 203, 589, 622, 761, 1132, 26, 761, 711, 334, 296, 280, 2156, 26, 761, 27, 334, 456, 280, 296, 32, 25637, 346, 334, 296, 32, 2679, 346, 334, 415, 456, 32, 15990, 26, 626, 3647, 711, 284, 442, 456, 77, 1657, 26, 626, 3647, 711, 997, 7201, 922, 2998, 440, 7788, 334, 813, 44, 284, 442, 1605, 203, 589, 622, 37325, 1132, 26, 761, 711, 334, 296, 280, 2156, 26, 761, 27, 334, 456, 280, 296, 32, 25637, 346, 334, 296, 32, 2679, 346, 334, 415, 456, 32, 15990, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 0, 5, 4, 5, 3, 4, 3, 5, 0, 1, 1, 4, 2, 2, 3, 0, 3, 2, 2, 2, 6, 6, 5, 4, 0, 3, 2, 2, 2, 4, 6, 6, 6, 6, 4, 6, 6, 0, 3, 2, 2, 2, 2, 8, 7, 8, 8, 7, 10, 9, 10, 10, 9, 12, 11, 12, 11, 5, 5, 4, 6, 6, 6, 0, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 7, 6, 7, 7, 7, 5, 4, 4, 0, 3, 3, 2, 2, 2, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 2, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 6, 6, 6, 4, 4, 8, 7, 6, 7, 6, 2, 2, 3, 5, 6, 5, 6, 5, 5, 6, 7, 5, 5, 6, 7, 5, 5, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 3, 3, 3, 6, 6, 3, 3, 4, 4, 7, 7, 2, 2, 3, 3, 3, 6, 6, 9, 9, 3, 3, 4, 4, 7, 7, 2, 2, 3, 4, 3, 3, 7, 6, 6, 10, 10, 8, 8, 7, 8, 8, 8, 9, 7, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 6, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 2, 2, 3, 3, 3, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 9, 10, 9, 11, 11, 11, 3, 3, 4, 5, 4, 4, 4, 2, 2, 4, 4, 6, 11, 10, 11, 9, 10, 9, 10, 9, 10, 9, 11, 11, 11, 10, 9, 7, 7, 9, 9, 6, 8, 8, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 12, 11, 11, 10, 10, 9, 9, 10, 8, 8, 9, 9, 9, 9, 7, 7, 9, 8, 6, 6, 7, 8, 6, 6, 7, 9, 8, 9, 6, 6, 7, 8, 6, 2, 2, 5, 6, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 3, 2, 1, 1, 3, 3, 3, 6, 6, 3, 3, 4, 4, 7, 7, 2, 2, 3, 5, 5, 5, 5, 5, 6, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 5, 6, 5, 2, 2, 3, 5, 6, 5, 6, 6, 5, 3, 3, 5, 10, 13, 13, 14, 14, 13, 10, 10, 9, 8, 7, 9, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 5, 6, 5, 2, 2, 3, 5, 6, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 10, 10, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 10, 10, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 0, 11, 11, 1, 1, 1, 2, 1, 2, 3, 2, 5, 2, 7, 2, 9, 2, 11, 2, 13, 13, 13, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 1, 1, 1, 0, 0, 1, 2, 1, 1, 4, 4, 0, 0, 4, 4, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 5, 5, 5, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 3, 1, 0, 1, 2, 5, 5, 3, 1, 3, 3, 3, 4, 4, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 3, 1, 0, 1, 2, 7, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 5, 0, 2, 2, 1, 1, 7, 2, 1, 4, 4, 0, 2, 1, 4, 4, 9, 0, 12, 12, 1, 1, 2, 1, 2, 3, 2, 12, 12, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 13, 13, 1, 1, 2, 1, 2, 13, 13, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 3, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 3, 3, 4, 4, 4, 0, 0, 14, 14, 1, 1, 2, 1, 2, 14, 14, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 3, 0, 2, 1 ]
[ 1070, 36387, 32, 3419, 1338, 1188, 17868, 1120, 30, 622, 81, 20934, 203, 823, 358, 37, 6062, 1120, 26, 6062, 1120, 711, 284, 665, 5008, 26, 784, 30, 1115, 4124, 81, 2132, 711, 291, 415, 630, 32, 3841, 81, 6933, 44, 324, 442, 630, 32, 3841, 81, 6933, 26, 2035, 47, 784, 32, 7986, 30, 1115, 4124, 81, 2132, 27, 203, 589, 17810, 2262, 284, 645, 36387, 32, 101, 37, 32, 3841, 1188, 358, 37, 2798, 284, 442, 622, 81, 20934, 26, 291, 330, 101, 37, 370, 291, 6699, 81, 6933, 47, 69, 37, 6062, 1120, 30, 291, 3387, 81, 6933, 47, 69, 37, 2798, 284, 829, 203, 589, 5008, 81, 452, 81, 3419, 26, 3419, 81, 426, 30, 1115, 4124, 81, 2132, 711, 284, 436, 6699, 328, 17810, 2262, 291, 415, 330, 2035, 25, 328, 8556, 81, 2132, 32, 3494, 2262, 324, 415, 8556, 81, 2132, 710, 2035, 785, 646, 328, 2107, 370, 1665, 2786, 400, 6699, 32, 7986, 280, 8556, 81, 2132, 710, 2035, 785, 400, 3555, 8556, 81, 2132, 710, 2035, 785, 400, 442, 6699, 32, 3517, 14605, 4124, 81, 2132, 27, 324, 813, 44, 400, 3555, 8556, 81, 2132, 710, 2035, 785, 291, 415, 6699, 32, 426, 610, 6699, 81, 426, 44, 324, 442, 6699, 32, 3517, 14605, 4124, 81, 2132, 27, 284, 442, 1665, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 6, 6, 6, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 7, 9, 10, 10, 10, 9, 11, 10, 12, 11, 12, 9, 9, 11, 11, 11, 9, 0, 1, 1, 2, 1, 1, 3, 4, 5, 5, 4, 5, 3, 3, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 7, 7, 7, 5, 5, 7, 7, 6, 7, 7, 7, 7, 5, 5, 5, 7, 7, 6, 7, 7, 7, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 4, 4, 4, 2, 1, 1, 3, 3, 3, 5, 3, 3, 5, 8, 8, 6, 6, 9, 9, 8, 9, 8, 5, 5, 7, 10, 10, 9, 11, 11, 8, 8, 8, 11, 9, 9, 7, 7, 11, 12, 10, 10, 12, 12, 11, 13, 13, 8, 8, 9, 11, 11, 10, 12, 12, 8, 8, 9, 11, 12, 11, 13, 13, 13, 11, 7, 7, 8, 8, 8, 10, 12, 12, 11, 13, 13, 4, 4, 5, 7, 8, 6, 6, 7, 7, 5, 5, 5, 7, 9, 10, 9, 11, 11, 11, 9, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 4, 0, 0, 0, 0, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 0, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 3, 3, 1, 0, 0, 1, 1, 2, 3, 3, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 1, 1, 2, 5, 5, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 465, 2322, 203, 465, 2322, 32, 983, 203, 1070, 9270, 32, 3938, 1188, 1344, 81, 1643, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 1356, 32, 716, 1188, 803, 81, 716, 203, 1070, 14785, 32, 2958, 32, 1040, 32, 4213, 81, 1358, 1188, 5239, 81, 1358, 203, 50, 4213, 81, 1358, 463, 716, 32, 1821, 81, 2255, 370, 330, 3239, 32, 1821, 81, 2255, 683, 203, 589, 2866, 81, 2255, 26, 2255, 81, 271, 81, 2255, 81, 589, 30, 1245, 1515, 30, 636, 30, 619, 81, 878, 47, 1815, 711, 334, 415, 6937, 26, 2255, 81, 271, 81, 2255, 81, 589, 30, 13714, 32, 3406, 711, 284, 3996, 81, 589, 280, 3996, 81, 271, 81, 2255, 81, 589, 32, 302, 81, 2255, 81, 589, 346, 334, 813, 44, 284, 3996, 81, 589, 280, 3996, 81, 271, 81, 2255, 81, 589, 334, 415, 646, 803, 81, 716, 32, 761, 81, 4658, 26, 751, 1515, 27, 461, 646, 1245, 1515, 32, 15990, 463, 5360, 44, 7831, 284, 803, 81, 716, 32, 19100, 81, 1297, 81, 1515, 26, 751, 1515, 27, 334, 1519, 280, 2322, 32, 983, 32, 2524, 26, 751, 1515, 30, 636, 27, 334, 415, 619, 81, 878, 44, 284, 803, 81, 716, 32, 6231, 81, 1821, 81, 800, 81, 452, 81, 761, 26, 983, 30, 2476, 1344, 81, 1643, 32, 1175, 4590, 26, 2255, 81, 589, 490, 334, 813, 44, 284, 803, 81, 716, 32, 6231, 81, 1821, 81, 800, 81, 452, 81, 761, 26, 983, 30, 3996, 81, 589, 32, 9506, 4590, 1157, 334, 442, 1519, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 3, 5, 5, 4, 5, 3, 2, 2, 4, 6, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 8, 6, 4, 4, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 4, 4, 5, 5, 5, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 3, 3, 4, 6, 9, 9, 8, 9, 9, 9, 8, 9, 9, 8, 5, 5, 6, 9, 8, 9, 8, 10, 10, 10, 4, 4, 9, 9, 8, 9, 9, 9, 9, 9, 8, 9, 9, 8, 3, 3, 5, 5, 8, 9, 7, 8, 7, 8, 8, 7, 7, 7, 3, 3, 4, 5, 5, 4, 4, 4, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 11, 11, 10, 11, 11, 10, 11, 11, 11, 10, 4, 4, 5, 5, 5, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 9, 12, 12, 11, 12, 12, 11, 3, 3, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 1, 2, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 7, 7, 1, 2, 1, 4, 1, 6, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 1, 6, 6, 6, 8, 8, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 0, 0, 7, 2, 2, 1, 1, 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, 2, 2, 2, 2, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 3, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 465, 2322, 32, 983, 203, 465, 22977, 203, 465, 12500, 32, 17449, 619, 5743, 203, 465, 12500, 32, 893, 619, 345, 1275, 203, 465, 12500, 32, 12035, 619, 345, 3854, 203, 589, 5839, 81, 11429, 26, 3140, 81, 10555, 30, 1056, 81, 10555, 30, 5839, 81, 10555, 711, 284, 5743, 32, 7630, 26, 21439, 4310, 35, 40, 30, 225, 35, 40, 490, 284, 5743, 32, 101, 9689, 778, 26, 500, 32, 983, 32, 15705, 26, 3140, 81, 10555, 490, 284, 3327, 280, 5743, 32, 23541, 26, 36, 36, 35, 27, 284, 3327, 32, 23026, 26, 95, 1275, 32, 40375, 26, 3140, 81, 10555, 490, 284, 3327, 280, 5743, 32, 23541, 26, 36, 36, 36, 30, 8623, 106, 47, 648, 30, 8623, 107, 47, 648, 27, 284, 3327, 32, 23026, 26, 95, 1275, 32, 40375, 26, 1267, 81, 10555, 490, 284, 3327, 280, 5743, 32, 23541, 26, 36, 36, 37, 30, 8623, 106, 47, 648, 30, 8623, 107, 47, 648, 27, 284, 3327, 32, 23026, 26, 95, 1275, 32, 40375, 26, 4903, 81, 10555, 490, 284, 665, 5514, 26, 1567, 711, 291, 1459, 463, 28442, 1345, 20818, 10960, 44, 904, 101, 25, 904, 308, 500, 32, 983, 32, 15705, 26, 3140, 81, 10555, 471, 9658, 291, 2322, 32, 2546, 26, 3140, 81, 10555, 27, 291, 22977, 32, 2991, 36, 26, 1267, 81, 10555, 30, 2799, 81, 10555, 27, 291, 2322, 32, 2546, 26, 4903, 81, 10555, 27, 291, 5743, 32, 2679, 346, 284, 665, 7658, 26, 1567, 711, 291, 1459, 463, 613, 4955, 1345, 44, 904, 101, 25, 904, 308, 500, 32, 983, 32, 15705, 26, 3140, 81, 10555, 471, 9658, 291, 5743, 32, 2679, 346, 284, 3327, 81, 7494, 280, 5743, 32, 15019, 2009, 34, 32, 40, 30, 225, 34, 32, 37, 39, 30, 225, 34, 32, 35, 30, 225, 34, 32, 34, 41, 39, 1130, 284, 3327, 81, 11592, 280, 5743, 32, 15019, 2009, 34, 32, 41, 35, 30, 225, 34, 32, 37, 39, 30, 225, 34, 32, 35, 30, 225, 34, 32, 34, 41, 39, 1130, 284, 323, 1978, 280, 345, 3854, 32, 1714, 26, 648, 81, 7494, 30, 330, 7071, 1539, 683, 284, 323, 1978, 32, 267, 81, 19663, 26, 7494, 27, 284, 323, 5586, 280, 345, 3854, 32, 1714, 26, 648, 81, 11592, 30, 330, 18831, 683, 284, 323, 5586, 32, 267, 81, 19663, 26, 11592, 27, 284, 5743, 32, 2245, 346, 203, 589, 3111, 81, 1498, 81, 27726, 2548, 2262, 284, 1188, 281, 297, 32, 858, 32, 3399, 81, 4882, 284, 1778, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 26, 45052, 32, 858, 32, 3399, 81, 4882, 3667, 761, 36762, 6035, 330, 3576, 370, 330, 8979, 81, 4882, 683, 284, 5839, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 26, 45052, 32, 858, 32, 3399, 81, 4882, 3667, 761, 36762, 1014, 330, 1267, 81, 893, 81, 25500, 683, 284, 436, 2799, 81, 10555, 328, 8594, 26, 500 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 3, 4, 2, 2, 3, 0, 1, 1, 3, 4, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 6, 5, 7, 6, 8, 8, 7, 7, 8, 8, 7, 2, 2, 5, 6, 6, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 8, 7, 2, 2, 4, 4, 6, 7, 6, 7, 7, 7, 6, 2, 2, 5, 6, 5, 8, 8, 7, 8, 7, 8, 8, 8, 7, 2, 2, 4, 4, 6, 7, 6, 7, 7, 7, 6, 6, 8, 7, 8, 6, 6, 8, 7, 8, 6, 2, 2, 5, 6, 5, 8, 8, 7, 8, 7, 8, 8, 8, 7, 2, 2, 4, 4, 6, 7, 6, 7, 7, 7, 6, 6, 8, 7, 8, 6, 6, 8, 7, 8, 6, 2, 2, 5, 6, 5, 8, 8, 7, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 13, 12, 13, 11, 12, 11, 12, 12, 12, 11, 9, 4, 4, 7, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 10, 10, 10, 10, 10, 10, 10, 8, 8, 13, 12, 13, 11, 12, 11, 12, 12, 12, 11, 9, 4, 4, 7, 8, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 7, 2, 2, 5, 4, 4, 7, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 8, 2, 2, 6, 5, 6, 6, 6, 5, 6, 5, 2, 2, 5, 4, 4, 7, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 2, 2, 6, 5, 6, 6, 6, 5, 6, 5, 2, 2, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 5, 4, 5, 4, 5, 5, 5, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 11, 11, 9, 10, 10, 6, 6, 8, 8, 6, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 11, 11, 9, 10, 10, 6, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 3, 3, 5, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 3, 3, 0, 2, 1, 1, 0, 4, 4, 0, 2, 1, 1, 2, 0, 5, 5, 0, 2, 1, 1, 2, 0, 6, 6, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 6, 6, 0, 2, 1, 0, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 3, 2, 1, 1, 0, 5, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 3, 2, 1, 1, 0, 5, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 8, 2, 1, 2, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 9, 2, 1, 2, 9, 9, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 7, 7, 7, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 7, 7, 7, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 7, 7, 1, 1, 1, 1, 1, 2, 7, 7, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 3, 3, 1, 0 ]
[ 465, 11171, 203, 1070, 1207, 102, 6502, 1188, 308, 284, 2685, 30, 284, 3111, 30, 284, 5788, 30, 203, 27, 203, 465, 2322, 32, 983, 203, 465, 2361, 203, 589, 739, 81, 2853, 81, 5660, 26, 1439, 30, 1914, 711, 284, 3051, 280, 2322, 32, 983, 32, 2524, 26, 1439, 30, 1914, 27, 284, 415, 646, 2322, 32, 983, 32, 34103, 26, 2388, 711, 291, 2322, 32, 27428, 26, 2388, 27, 284, 5788, 32, 19765, 81, 2388, 280, 3051, 203, 589, 12066, 81, 983, 26, 5860, 711, 284, 3223, 81, 891, 280, 5788, 32, 7128, 32, 371, 81, 3518, 81, 891, 346, 284, 442, 2322, 32, 983, 32, 2524, 26, 291, 5788, 32, 19765, 81, 2388, 30, 291, 17246, 106, 34917, 1643, 26, 3518, 81, 891, 710, 1644, 2188, 3223, 81, 891, 710, 2273, 16578, 284, 829, 203, 50, 2997, 26, 100, 25, 59, 12847, 312, 20240, 22, 683, 203, 589, 12847, 81, 19765, 26, 2997, 711, 284, 2787, 280, 3111, 32, 17881, 32, 3274, 284, 3111, 32, 3018, 81, 426, 280, 17246, 32, 1645, 2473, 1643, 26, 6572, 32, 6572, 38, 1157, 284, 415, 18623, 26, 3274, 30, 330, 1515, 81, 983, 370, 1665, 27, 438, 1665, 44, 291, 2787, 32, 1515, 81, 983, 280, 12066, 81, 983, 26, 5860, 27, 284, 415, 646, 2322, 32, 983, 32, 34103, 26, 3274, 32, 1515, 81, 983, 711, 291, 2322, 32, 27428, 26, 3274, 32, 1515, 81, 983, 27, 284, 4870, 280, 2322, 32, 983, 32, 2524, 26, 291, 2787, 32, 1515, 81, 983, 30, 291, 3111, 32, 3018, 81, 426, 30, 284, 829, 284, 5788, 32, 7128, 32, 371, 81, 19765, 81, 302, 81, 761, 26, 3607, 27, 203, 50, 2997, 26, 100, 25, 59, 12847, 312, 20240, 2685, 10442, 86, 24913, 6791, 33113, 683, 203, 589, 12847, 81, 19765, 81, 7843, 26, 2997, 30, 7808, 711, 284, 1133, 32, 7840, 26, 7843, 27, 284, 12847, 81, 19765, 346, 203, 50, 5483, 32, 5520, 81, 3274, 203, 589, 3627, 81, 1945, 81, 3274, 81, 3734, 26, 3274, 711, 284, 415, 18623, 26, 3274, 30, 330, 1515, 81, 983, 370, 1665, 27, 438, 1665, 44, 291, 442, 284, 2787, 81, 426, 81, 1260, 280, 17246, 32, 1260, 2473, 1643, 26, 500, 32, 983, 32, 48271, 26, 291, 2322, 32, 983, 32, 15705, 26, 3274, 32, 30020, 81, 269, 32, 761, 27, 284, 829, 77, 34, 1130, 284, 3639, 280, 2149, 284, 436, 13174, 328, 2787, 32, 44663, 44, 291, 13174, 81, 3734, 280, 1605, 291, 436, 3111, 328, 13174, 32, 7439, 44, 324, 19140, 81, 426, 280, 18623, 26, 2997, 30, 330, 3018, 81, 426, 370, 1665, 27, 324, 415, 19140, 81, 426, 438, 646, 1665, 44, 400, 13174, 81, 3734, 32, 1689, 26, 3018, 81, 426, 27, 291, 415, 13174, 81, 3734, 44, 324, 3639, 77, 17881, 32, 426, 79, 280, 13174, 81, 3734, 284, 415, 3639, 44, 291, 623, 2156, 26, 500, 32, 983, 32, 2524, 26, 3274, 32, 1515, 81, 983, 30, 2787, 81, 426, 81, 1260, 471, 330, 105, 683, 619, 296, 44, 324, 2361, 32, 5937, 26, 3734 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 6, 2, 2, 3, 4, 7, 8, 6, 7, 6, 7, 6, 3, 3, 7, 8, 7, 8, 7, 2, 2, 5, 6, 6, 6, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 7, 8, 6, 7, 7, 7, 7, 7, 6, 2, 2, 3, 6, 7, 5, 6, 5, 5, 5, 6, 7, 7, 7, 5, 5, 5, 9, 9, 8, 7, 9, 9, 9, 8, 10, 10, 7, 9, 9, 8, 10, 10, 5, 5, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 5, 5, 7, 8, 6, 7, 3, 3, 6, 7, 7, 7, 5, 5, 9, 9, 9, 8, 7, 10, 9, 10, 10, 9, 3, 3, 4, 7, 8, 7, 7, 9, 9, 9, 9, 7, 7, 5, 5, 4, 4, 4, 8, 9, 9, 9, 7, 7, 9, 9, 9, 10, 9, 3, 3, 4, 5, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 8, 9, 8, 10, 9, 10, 10, 10, 8, 3, 3, 5, 5, 8, 9, 7, 8, 7, 7, 7, 8, 9, 9, 9, 7, 7, 7, 8, 9, 9, 9, 7, 7, 7, 3, 3, 7, 8, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 6, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 6, 7, 6, 7, 6, 3, 3, 6, 6, 6, 0, 2, 4, 3, 4, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 4, 7, 8, 7, 7, 9, 9, 9, 9, 7, 7, 5, 5, 4, 4, 4, 3, 3, 6, 6, 6, 6, 5, 5, 9, 9, 9, 8, 7, 12, 11, 12, 10, 11, 10, 10, 10, 13, 14, 12, 13, 12, 15, 14, 15, 15, 15, 13, 14, 12, 10, 10, 8, 9, 8, 3, 3, 5, 5, 3, 3, 4, 4, 4, 5, 6, 4, 4, 4, 8, 8, 7, 7, 5, 5, 6, 6, 6, 7, 8, 6, 6, 6, 10, 10, 9, 9, 11, 12, 11, 11, 13, 13, 13, 13, 11, 11, 7, 7, 8, 10, 10, 9, 9, 9, 8, 8, 8, 13, 13, 12, 13, 12, 13, 13, 13, 12, 5, 5, 6, 7, 7, 6, 6, 6, 10, 12, 11, 12, 10, 9, 9, 10, 10, 3, 3, 4, 4, 4, 4, 6, 11, 15, 14, 15, 13, 14, 13, 15, 14, 15, 15, 15, 13, 13, 14, 14, 14, 14, 13, 11, 13, 13, 9, 9, 6, 6, 6, 10, 11, 10, 11 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 3, 3, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 3, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 6, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 3, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 8, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 0, 0, 0, 0, 5, 5, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 5, 5, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 4, 4, 4, 4, 4, 4, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 3, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1 ]
[ 465, 296, 31501, 203, 1070, 296, 31501, 32, 2304, 1188, 281, 466, 203, 465, 316, 203, 589, 5742, 2262, 203, 202, 1094, 81, 3958, 280, 296, 31501, 1114, 2665, 346, 203, 202, 979, 343, 328, 296, 31501, 32, 1199, 32, 2602, 440, 1613, 636, 30, 3048, 645, 529, 3007, 1097, 26650, 619, 81, 2665, 47, 35, 711, 357, 202, 2310, 280, 281, 466, 26, 86, 32, 2310, 547, 7201, 346, 357, 202, 890, 81, 3801, 280, 6571, 81, 2310, 26, 2310, 27, 357, 202, 1094, 81, 3958, 32, 37329, 26, 86, 32, 426, 30, 296, 31501, 1114, 2665, 1371, 355, 202, 20, 1455, 81, 2310, 563, 3048, 30, 355, 202, 20, 890, 81, 2310, 563, 537, 81, 3801, 357, 202, 18364, 203, 202, 2632, 81, 668, 47, 3037, 18201, 7679, 6324, 1461, 17612, 5599, 366, 367, 6324, 392, 313, 3183, 63, 392, 313, 3183, 63, 35586, 798, 6324, 20, 1717, 766, 203, 202, 20, 3183, 63, 6324, 392, 313, 27330, 373, 15536, 6324, 20, 1717, 313, 42871, 367, 6324, 20, 1717, 313, 14837, 7679, 6324, 20, 1717, 313, 14996, 5830, 6324, 20, 1717, 766, 203, 202, 20, 6334, 4448, 6324, 20, 1717, 313, 18201, 902, 10955, 6324, 20, 1717, 313, 14048, 13925, 23487, 1446, 203, 202, 979, 8793, 328, 8793, 81, 668, 44, 357, 202, 48020, 32, 13068, 81, 27357, 26, 2632, 27, 357, 202, 11541, 280, 296, 31501, 32, 1199, 32, 2602, 27265, 1613, 636, 30, 21807, 34, 5325, 619, 1623, 81, 687, 30, 3048, 645, 529, 3007, 109, 35, 5325, 355, 202, 2767, 3048, 438, 646, 744, 461, 3048, 2124, 330, 1784, 46, 1274, 1784, 25, 2993, 355, 202, 32, 1643, 440, 1094, 20, 415, 8793, 11490, 3183, 63, 20, 813, 313, 1094, 81, 687, 392, 8793, 471, 619, 81, 2665, 47, 35, 27, 357, 202, 998, 280, 225, 35, 357, 202, 979, 343, 328, 9212, 44, 355, 202, 325, 343, 32, 1094, 81, 687, 461, 1623, 81, 3958, 32, 371, 26, 86, 32, 1094, 81, 687, 27, 766, 577, 202, 363, 281, 466, 26, 86, 32, 2310, 27, 610, 1623, 81, 3958, 32, 371, 26, 86, 32, 1094, 81, 687, 547, 1455, 81, 2310, 44, 603, 202, 3801, 280, 1623, 81, 3958, 32, 371, 26, 86, 32, 1094, 81, 687, 547, 890, 81, 2310, 355, 202, 1824, 44, 603, 202, 3801, 280, 6571, 81, 2310, 26, 34089, 26, 86, 32, 2310, 490, 355, 202, 48020, 32, 1199, 32, 2602, 27265, 1877, 529, 3007, 109, 34, 5325, 739, 3048, 280, 904, 101, 603, 202, 2767, 636, 280, 904, 101, 1524, 32, 1643, 26, 2632, 471, 308, 3801, 30, 343, 32, 426, 490, 355, 202, 998, 1454, 225, 35, 355, 202, 325, 2385, 904, 225, 39, 34, 34, 610, 225, 34, 44, 603, 202, 48020, 32, 1199, 32, 3375, 346, 203, 589, 6571, 81, 2310, 26, 3801, 711, 203, 202, 979, 2604, 328, 2884, 1275, 392, 313, 1274, 392, 313, 359, 392, 313, 671, 10280, 357, 202, 3801, 280, 225, 316, 32, 1113, 5528, 377, 32352, 34, 111, 12456, 48, 6603, 78, 16654, 1643, 26, 2142, 471, 4320, 5585, 27, 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, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 1, 1, 5, 5, 5, 4, 4, 7, 6, 7, 6, 2, 2, 3, 3, 3, 3, 7, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 6, 7, 5, 3, 3, 7, 6, 6, 10, 10, 12, 11, 12, 10, 9, 8, 4, 4, 7, 7, 7, 6, 6, 8, 8, 8, 9, 8, 4, 4, 8, 8, 8, 7, 8, 7, 9, 8, 9, 7, 7, 10, 9, 10, 9, 10, 10, 13, 13, 13, 13, 13, 11, 10, 10, 10, 13, 13, 13, 13, 13, 11, 12, 12, 10, 10, 10, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 2, 2, 3, 3, 3, 3, 4, 4, 3, 3, 3, 8, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 6, 6, 10, 9, 10, 8, 9, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 11, 10, 13, 13, 11, 11, 12, 14, 14, 14, 11, 11, 13, 13, 13, 13, 10, 10, 8, 10, 10, 9, 10, 8, 4, 4, 7, 6, 6, 7, 4, 4, 5, 5, 5, 5, 5, 5, 5, 7, 7, 10, 11, 11, 11, 9, 9, 12, 12, 11, 12, 11, 13, 12, 13, 13, 13, 11, 8, 9, 8, 8, 8, 11, 11, 13, 12, 13, 11, 9, 9, 13, 13, 12, 13, 12, 14, 13, 14, 14, 14, 12, 11, 11, 11, 7, 7, 7, 11, 10, 10, 14, 14, 13, 14, 13, 15, 14, 15, 15, 15, 13, 12, 12, 12, 7, 7, 8, 8, 8, 8, 12, 11, 11, 13, 13, 13, 15, 15, 17, 16, 17, 15, 6, 6, 11, 10, 11, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 12, 11, 12, 11, 9, 11, 10, 10, 11, 12, 10, 6, 6, 9, 8, 8, 9, 6, 6, 7, 7, 9, 9, 10, 10, 10, 8, 8, 9, 7, 7, 7, 13, 12, 13, 11, 12, 11, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 3, 6, 6, 4, 6, 6, 4, 6, 6, 4, 6, 6, 3, 3, 7, 6, 6, 6, 8, 9, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 11, 10, 8, 8, 8, 2 ]
[ 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 3, 3, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 3, 2, 1, 5, 5, 0, 0, 0, 2, 5, 5, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 5, 5, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 2, 3, 5, 5, 0, 0, 0, 2, 5, 5, 3, 3, 0, 0, 2, 2, 2, 1, 1, 2, 3, 3, 3, 0, 0, 2, 0, 2, 1, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 4 ]
[ 1070, 7138, 1188, 7138, 203, 1070, 11993, 1188, 6204, 30, 14580, 203, 1070, 23275, 4603, 1188, 3082, 30, 4450, 81, 6572, 203, 1070, 23275, 1040, 32, 12182, 1188, 902, 777, 1796, 203, 1070, 4377, 10668, 32, 3378, 1188, 32413, 779, 203, 15756, 32305, 280, 14580, 77, 466, 30, 6204, 79, 203, 823, 32413, 1151, 26, 1199, 32, 1243, 711, 284, 1156, 34426, 505, 280, 330, 13968, 81, 5057, 25, 284, 804, 280, 3082, 32, 2137, 26, 1199, 32, 15298, 30, 1244, 47, 5536, 81, 6572, 30, 7458, 81, 678, 47, 1815, 27, 284, 12330, 81, 269, 280, 3082, 32, 2137, 26, 1199, 32, 4852, 30, 12607, 47, 2700, 27, 284, 1692, 81, 681, 280, 3082, 32, 2137, 26, 1199, 32, 14923, 1031, 30, 1650, 47, 1815, 30, 12607, 47, 2700, 27, 284, 14736, 81, 314, 280, 3082, 32, 2137, 26, 1199, 32, 15298, 30, 3082, 32, 13343, 463, 30804, 32, 314, 1425, 1650, 47, 1815, 30, 12607, 47, 2700, 27, 284, 706, 280, 3082, 32, 2137, 26, 1199, 32, 3265, 52, 27, 284, 665, 1156, 1664, 3207, 784, 30, 12330, 81, 269, 44, 7138, 30, 1692, 81, 681, 44, 596, 30, 353, 14736, 81, 314, 44, 32413, 779, 30, 706, 44, 32413, 32305, 27, 967, 1665, 44, 291, 630, 32, 19389, 9638, 81, 269, 280, 12330, 81, 269, 291, 630, 32, 1567, 81, 681, 280, 1692, 81, 681, 291, 630, 32, 13968, 81, 314, 280, 14736, 81, 314, 291, 630, 32, 605, 280, 706, 284, 665, 1156, 13707, 3207, 784, 27, 967, 596, 44, 291, 442, 902, 777, 1796, 26, 784, 27, 766, 324, 638, 669, 81, 2988, 26, 13707, 26, 784, 32, 1567, 81, 681, 490, 766, 324, 638, 669, 81, 1793, 81, 10122, 463, 13968, 81, 314, 683, 766, 324, 638, 669, 81, 1793, 81, 10122, 463, 605, 683, 766, 324, 638, 1832, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 0, 3, 3, 2, 2, 3, 4, 3, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 7, 8, 8, 8, 6, 6, 8, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 8, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 5, 5, 4, 4, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 7, 4, 4, 5, 5, 7, 4, 3, 3, 3, 3, 3, 7, 8, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 3, 3, 3, 5, 15, 15, 15, 16, 15, 13, 14, 13, 14, 14, 14, 13, 15, 15, 17, 16, 17, 17, 17, 15, 11, 12, 11, 12, 12, 12, 12, 12, 11, 13, 13, 13, 13, 9, 10, 9, 10, 10, 10, 10, 10, 9, 11, 11, 7, 8, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 6, 6, 1, 2, 0, 1, 2, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 0, 0, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 6, 1, 1, 1, 2, 2, 0, 0, 3, 3, 2, 2, 0, 0, 5, 5, 2, 2, 2, 0, 0, 7, 7, 0, 2, 2, 9, 9, 0, 2, 6, 6, 6, 6, 6, 0, 2, 2, 2, 2, 0, 0, 2, 2, 6, 6, 0, 2, 2, 2, 0, 0, 2, 2, 6, 6, 0, 2, 2, 2, 0, 0, 2, 2, 6, 6, 0, 2, 0, 0, 4, 4, 7, 1, 1, 1, 2, 7, 7, 7, 7, 7, 0, 0, 0, 1, 1, 1, 0, 1, 0, 3, 3, 3, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 3, 3, 3, 3, 3, 1, 1, 1, 1, 2, 0, 1, 0, 3, 3, 3, 3, 3, 1, 1, 2, 0, 1, 0, 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 ]
[ 465, 5237, 203, 465, 2322, 203, 465, 15798, 203, 1070, 1673, 2304, 32, 2501, 32, 3789, 81, 1356, 1188, 2443, 81, 1356, 203, 1070, 1673, 2304, 32, 6728, 1188, 15363, 203, 1070, 1673, 2304, 32, 4882, 1188, 2193, 203, 1070, 1673, 2304, 32, 4275, 1188, 9306, 2304, 2828, 924, 203, 1070, 894, 32, 3592, 1188, 1420, 81, 18986, 203, 823, 6741, 6508, 7233, 26, 3592, 32, 2410, 1515, 1572, 30, 656, 2193, 32, 11161, 20081, 27500, 30, 656, 2193, 32, 776, 2341, 12380, 30, 656, 15798, 32, 7233, 711, 284, 665, 894, 81, 28598, 81, 2184, 26, 784, 711, 291, 12870, 81, 1515, 30, 1673, 280, 630, 32, 1297, 81, 2452, 346, 291, 4774, 280, 2443, 81, 1356, 26, 2452, 27, 291, 4774, 32, 28598, 81, 2184, 346, 291, 630, 32, 5299, 26, 3515, 32, 6993, 30, 225, 35, 27, 291, 630, 32, 5299, 26, 3515, 32, 22926, 30, 225, 34, 27, 291, 4774, 32, 22926, 280, 330, 3986, 25, 291, 630, 32, 23895, 26, 4496, 2304, 2828, 924, 30, 4774, 32, 28598, 81, 2184, 27, 291, 4774, 32, 22926, 280, 330, 38, 25, 291, 630, 32, 23895, 26, 4496, 2304, 2828, 924, 30, 4774, 32, 28598, 81, 2184, 27, 291, 4774, 32, 22926, 280, 330, 36, 25, 291, 4774, 32, 28598, 81, 2184, 346, 291, 630, 32, 5299, 26, 3515, 32, 22926, 30, 225, 36, 27, 284, 477, 18986, 32, 5961, 23093, 26, 1206, 5237, 32, 32607, 81, 1821, 81, 2263, 687, 30, 656, 330, 2263, 31, 6993, 646, 5420, 683, 284, 665, 894, 81, 2263, 81, 6993, 26, 784, 711, 291, 12870, 81, 1515, 30, 1673, 280, 630, 32, 1297, 81, 2452, 346, 291, 4774, 280, 2443, 81, 1356, 26, 2452, 27, 291, 4774, 32, 6993, 280, 4774, 32, 22926, 280, 225, 35, 291, 296, 280, 2322, 32, 983, 32, 2524, 26, 4652, 81, 1515, 30, 330, 3986, 32, 978, 683, 291, 630, 32, 1821, 81, 761, 26, 88, 30, 5307, 4262, 803, 683, 291, 4774, 32, 2263, 81, 6993, 2009, 88, 1130, 291, 630, 32, 6549, 26, 500, 32, 983, 32, 4658, 26, 500, 32, 983, 32, 2524, 26, 4652, 81, 1515, 30, 330, 3986, 32, 40546, 21180, 291, 630, 32, 6549, 26, 500, 32, 983, 32, 4658, 26, 500, 32, 983, 32, 2524, 26, 4652, 81, 1515, 30, 330, 3986, 32, 978, 97, 21180, 284, 665, 894, 81, 371, 81, 10931, 26, 784, 711, 291, 12870, 81, 1515, 30, 1673, 280, 630, 32, 1297, 81, 2452, 346, 291, 4774, 280, 2443, 81, 1356, 26, 2452, 27, 291, 4774, 32, 6993, 280, 4774, 32, 22926, 280, 225, 35, 291, 4774, 32, 3789, 81, 1515, 280, 12870, 81, 1515, 291, 296, 280, 2322, 32, 983, 32, 2524, 26, 4652, 81, 1515, 30, 330, 3986, 32, 978, 683, 291, 630, 32, 1821, 81, 761, 26, 88, 30, 5307, 4262, 803, 683, 291, 4774, 32, 13081, 32, 978, 81, 3477, 280, 428, 4652, 81, 1515, 79, 291, 4774, 32, 13081, 32, 407, 81, 3477, 280, 428, 4814, 463, 3986, 370, 2107, 10492, 785, 2177, 291, 4774, 32, 13081, 32, 5043, 280, 428 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 2, 2, 2, 3, 4, 4, 4, 2, 2, 2, 3, 4, 4, 4, 2, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 8, 7, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 8, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 8, 7, 4, 4, 7, 8, 6, 6, 8, 8, 4, 4, 7, 8, 7, 8, 8, 8, 8, 7, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 6, 6, 8, 8, 4, 4, 7, 8, 7, 8, 8, 8, 8, 7, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 8, 7, 2, 2, 7, 6, 7, 7, 6, 7, 7, 8, 9, 9, 9, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 9, 9, 8, 8, 7, 7, 9, 10, 10, 10, 9, 5, 5, 7, 7, 9, 9, 9, 10, 9, 5, 5, 8, 9, 7, 7, 9, 10, 8, 8, 9, 5, 5, 7, 7, 10, 11, 9, 10, 9, 10, 10, 10, 9, 9, 11, 11, 11, 11, 5, 5, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 10, 5, 5, 8, 9, 9, 9, 8, 10, 9, 5, 5, 8, 9, 8, 12, 11, 12, 10, 11, 10, 14, 13, 14, 12, 13, 12, 13, 13, 13, 12, 12, 14, 14, 14, 14, 5, 5, 8, 9, 8, 12, 11, 12, 10, 11, 10, 14, 13, 14, 12, 13, 12, 13, 13, 13, 12, 12, 14, 14, 14, 14, 14, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 8, 7, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 7, 7, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 9, 9, 9, 4, 4, 8, 9, 7, 8, 8, 8, 6, 6, 8, 8, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 6, 6, 9, 9, 11, 11, 9, 12, 12, 9, 4, 4, 8, 9, 7, 8, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 8, 8, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 7, 2, 2, 8, 8, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 0, 2, 0, 0, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 4, 4, 0, 2, 0, 2, 0, 0 ]
[ 505, 13411, 505, 280, 3941, 606, 11033, 203, 1070, 7138, 1188, 7138, 203, 1270, 44, 284, 645, 42406, 1188, 8735, 39, 203, 7343, 44, 284, 1188, 8735, 39, 203, 1070, 638, 1163, 1188, 31848, 81, 52, 3057, 1392, 4128, 81, 4530, 1392, 30, 766, 284, 31848, 81, 52, 3057, 1392, 4128, 81, 4431, 81, 20736, 81, 28137, 81, 12452, 81, 3687, 81, 20736, 81, 28137, 203, 823, 701, 33251, 1176, 24536, 26, 984, 711, 284, 3097, 203, 589, 11557, 81, 410, 26, 25391, 30, 786, 711, 284, 1596, 44, 291, 786, 280, 629, 26, 853, 27, 291, 415, 786, 848, 225, 34, 44, 324, 442, 786, 291, 813, 44, 324, 3124, 280, 313, 1562, 1600, 636, 904, 101, 30, 6584, 312, 11003, 4991, 30, 2799, 312, 11557, 4991, 20, 904, 308, 25391, 21713, 324, 3636, 701, 33251, 1176, 24536, 26, 2076, 27, 284, 2940, 44, 291, 3124, 280, 313, 1562, 1600, 636, 904, 101, 30, 6584, 312, 2979, 4991, 30, 2799, 312, 11557, 4991, 20, 904, 308, 25391, 21713, 291, 3636, 701, 33251, 1176, 24536, 26, 2076, 27, 203, 589, 2080, 81, 800, 26, 25391, 30, 786, 711, 284, 415, 646, 786, 556, 646, 308, 38003, 26, 853, 30, 596, 27, 556, 6937, 26, 853, 30, 15390, 8531, 291, 3124, 280, 313, 1562, 1600, 636, 904, 101, 30, 6584, 600, 5535, 556, 5934, 3104, 802, 30, 2799, 312, 2979, 5934, 3104, 802, 20, 904, 308, 25391, 21713, 291, 3636, 701, 33251, 1176, 24536, 26, 2076, 27, 284, 813, 44, 291, 442, 786, 203, 81, 30169, 81, 4804, 81, 9302, 280, 5461, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 20, 203, 589, 2080, 81, 770, 26, 25391, 30, 786, 711, 284, 415, 6937, 26, 853, 30, 7138, 711, 291, 442, 596, 26, 853, 32, 20834, 2176, 30169, 81, 4804, 81, 9302, 490, 284, 813, 44, 291, 1596, 44, 324, 415, 6937, 26, 6665, 32, 44832, 26, 853, 1717, 617, 30169, 81, 4804, 81, 9302, 471, 7138, 711, 400, 442, 786, 291, 2940, 44, 324, 3124, 280, 313, 1562, 1600, 636, 904, 101, 30, 6584, 600, 707, 268, 5343, 6766, 7138, 2179, 6611, 101, 370, 2799, 312, 802, 2124, 330, 36, 34, 34, 36, 31, 34, 38, 31, 35, 42, 225, 35, 38, 44, 39, 41, 44, 35, 35, 25, 556, 600, 1980, 432, 7138, 32, 6665, 20, 904, 308, 25391, 30, 596, 26, 853, 490, 324, 3636, 701, 33251, 1176, 24536, 26, 2076, 27, 203, 589, 2080, 81, 2400, 26, 11215, 30, 786, 711, 284, 415, 786, 44, 291, 442, 225, 35, 284, 442, 225, 34, 203, 81, 28442, 1345, 81, 6447, 81, 8356, 280, 301, 284, 330, 1113, 314, 25, 499, 261, 308, 5962, 6078, 34, 370, 2080, 81, 800, 471, 284, 330, 4875, 314, 25, 499, 261, 308, 5962, 44, 34, 30, 11557, 81, 410, 471, 284, 330, 770, 25, 499, 264, 308, 5962, 44, 6665, 32, 2174, 922, 20834, 2176, 30169, 81, 4804, 81, 9302, 471, 2080, 81, 770, 471, 284, 330, 1286, 25, 499, 308, 5962, 44, 2521, 30, 2080, 81, 800, 471, 284, 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 ]
[ 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 5, 1, 2, 2, 2, 2, 4, 6, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 7, 5, 5, 5, 7, 5, 5, 6, 6, 6, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 11, 7, 7, 8, 10, 10, 10, 10, 11, 10, 3, 3, 4, 4, 4, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 9, 5, 5, 6, 8, 8, 8, 8, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 4, 4, 5, 9, 9, 10, 9, 9, 9, 7, 7, 9, 10, 9, 9, 9, 3, 3, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 8, 4, 4, 5, 7, 7, 7, 7, 8, 7, 3, 3, 4, 4, 4, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 6, 5, 5, 5, 3, 3, 5, 7, 10, 9, 10, 9, 10, 10, 10, 10, 10, 9, 3, 3, 4, 4, 4, 6, 6, 6, 8, 10, 13, 12, 13, 12, 13, 12, 12, 13, 13, 13, 13, 13, 12, 10, 10, 8, 8, 10, 6, 6, 7, 7, 7, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 12, 12, 14, 15, 14, 8, 8, 9, 11, 11, 11, 11, 12, 11, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 3, 3, 3, 5, 6, 2, 2, 3, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 4, 4, 4, 6, 6, 8, 8, 5, 6, 6, 5, 3, 3, 6, 6, 6, 4, 4, 4, 6, 6, 7, 5, 5, 6, 6, 5, 3, 3, 6, 6, 4, 4, 4, 6, 6, 11, 10, 11, 10, 9, 8, 9, 9, 9, 9, 9, 8, 5, 6, 6, 5, 3, 3, 6, 6, 4, 4, 6, 6, 7, 5, 5, 6, 6, 5, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 5, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 5, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 6, 6, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 1, 0, 0, 0, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 8, 8, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 9, 9, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 0, 0, 0, 0, 1, 4, 4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 1, 2, 5, 5, 5, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 7, 7, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2 ]
[ 465, 2322, 203, 465, 5237, 203, 465, 22977, 203, 465, 16539, 203, 465, 1619, 1356, 203, 1070, 13625, 1188, 636, 41766, 203, 465, 323, 2500, 716, 32, 3011, 619, 23065, 203, 1070, 323, 2500, 716, 32, 9247, 1188, 1359, 81, 2304, 203, 1070, 323, 2500, 716, 32, 17935, 32, 6554, 1188, 803, 81, 6554, 30, 6486, 81, 30606, 203, 1070, 323, 2500, 716, 32, 2304, 1188, 308, 4770, 81, 26738, 476, 30, 803, 81, 4658, 30, 438, 81, 6680, 9974, 27, 203, 1070, 323, 2500, 716, 32, 510, 26402, 1188, 745, 203, 1070, 323, 2500, 716, 1188, 8745, 203, 1070, 323, 2500, 716, 32, 751, 1188, 4082, 203, 1070, 323, 2500, 716, 32, 9247, 1188, 5219, 339, 3557, 619, 14712, 203, 1070, 323, 2500, 716, 32, 1140, 101, 2934, 1188, 2364, 2934, 203, 1070, 323, 2500, 716, 32, 28821, 1188, 8117, 99, 203, 1070, 323, 2500, 716, 32, 36818, 30308, 543, 1188, 25680, 15267, 101, 203, 32616, 2418, 81, 14137, 280, 3037, 28912, 32, 541, 32, 14690, 392, 313, 1335, 32, 541, 392, 313, 1335, 32, 6654, 32, 541, 1446, 203, 12238, 81, 39312, 280, 3037, 31694, 392, 313, 14783, 392, 313, 22338, 392, 313, 5108, 392, 313, 1099, 1446, 203, 589, 3014, 26, 37539, 81, 761, 30, 6092, 81, 761, 30, 2488, 81, 761, 30, 4467, 30, 3014, 81, 1515, 30, 706, 711, 284, 415, 646, 2488, 81, 761, 44, 291, 4082, 32, 731, 440, 34771, 1650, 646, 2431, 32, 2688, 2800, 1330, 2355, 322, 3849, 783, 17215, 313, 3486, 313, 1170, 1244, 3301, 2953, 884, 5029, 7622, 32, 2448, 883, 2443, 313, 3486, 313, 1382, 1650, 436, 1370, 27737, 623, 44, 323, 2500, 716, 81, 1978, 2518, 32, 978, 10750, 313, 3486, 7915, 2934, 483, 12887, 769, 27597, 101, 27737, 31, 1832, 31, 426, 769, 605, 657, 291, 5237, 32, 4775, 26, 35, 27, 284, 1769, 81, 13504, 280, 225, 35, 34, 284, 17295, 3258, 280, 2933, 415, 706, 1365, 11382, 6494, 5729, 922, 15990, 440, 4884, 100, 3258, 31, 4948, 657, 813, 3177, 284, 17295, 3258, 81, 6363, 280, 3330, 284, 415, 17295, 3258, 44, 291, 1769, 81, 13504, 280, 225, 35, 34, 34, 34, 291, 17295, 3258, 81, 6363, 280, 7915, 2934, 383, 18367, 2708, 225, 35, 20, 284, 1359, 280, 706, 1365, 1163, 1446, 284, 12887, 81, 15615, 280, 617, 371, 81, 6443, 81, 1515, 4243, 26, 2934, 81, 1515, 30, 706, 30, 4467, 27, 284, 415, 803, 81, 4658, 26, 6443, 81, 15615, 32, 3220, 81, 541, 711, 291, 706, 280, 617, 1877, 81, 605, 26, 6443, 81, 15615, 32, 3220, 81, 541, 30, 12887, 81, 15615, 32, 541, 81, 1515, 30, 4467, 30, 706, 27, 291, 963, 81, 751, 81, 761, 280, 2322, 32, 983, 32, 2524, 26, 2934, 81, 1515, 30, 14712, 32, 371, 81, 16876, 26, 605, 27, 474, 313, 1335, 32, 3220, 32, 541, 657, 291, 706, 280, 14712, 32, 1877, 81, 1367, 81, 18949, 26, 605, 30, 313, 6443, 392, 1695, 47, 541, 81, 751, 81, 761, 27, 291, 442, 706, 284, 12887, 81, 983, 280, 1359, 81, 2304, 32, 371 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 4, 4, 3, 4, 2, 2, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 0, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 4, 5, 5, 3, 3, 3, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 8, 7, 2, 2, 5, 5, 4, 4, 5, 5, 2, 2, 5, 4, 4, 5, 5, 10, 12, 12, 10, 9, 8, 7, 9, 9, 9, 9, 9, 9, 5, 5, 2, 2, 5, 5, 5, 4, 4, 2, 2, 3, 4, 3, 3, 3, 7, 7, 6, 6, 7, 7, 7, 7, 4, 4, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 5, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 2, 2, 3, 5, 5, 5, 7, 7, 7, 6, 7, 7, 7, 5, 3, 3, 6, 6, 8, 8, 8, 8, 10, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 8, 8, 4, 4, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 11, 12, 12, 12, 11, 12, 11, 9, 9, 11, 11, 11, 11, 11, 11, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 10, 10, 8, 9, 10, 10, 10, 10, 10, 8, 4, 4, 5, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 5, 5, 0, 0, 6, 6, 0, 0, 0, 2, 1, 1, 0, 7, 7, 0, 0, 1, 2, 7, 7, 0, 0, 0, 8, 8, 0, 0, 1, 2, 1, 4, 8, 8, 0, 0, 8, 8, 0, 0, 0, 9, 9, 0, 0, 1, 2, 9, 9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 10, 10, 0, 0, 1, 2, 2, 10, 10, 0, 11, 11, 0, 0, 11, 11, 0, 12, 12, 0, 0, 1, 2, 12, 12, 0, 13, 13, 0, 0, 1, 2, 13, 13, 0, 0, 3, 3, 0, 14, 14, 0, 0, 1, 2, 2, 2, 14, 14, 0, 0, 15, 15, 0, 0, 1, 2, 15, 15, 0, 0, 16, 16, 0, 0, 1, 2, 2, 2, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 19, 19, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 2, 9, 9, 2, 2, 2, 19, 19, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 4, 1, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 7, 7, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 2, 2, 2, 1, 3, 3, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2 ]
[ 465, 2322, 203, 465, 11685, 203, 1070, 15223, 12813, 32, 10514, 81, 3922, 1188, 23340, 203, 22583, 32, 8627, 32, 2245, 81, 42515, 280, 3177, 203, 5066, 81, 267, 81, 6173, 280, 2322, 32, 12757, 32, 3235, 463, 8534, 81, 567, 81, 14417, 81, 852, 21320, 2893, 370, 3177, 27, 203, 325, 6937, 26, 5066, 81, 267, 81, 6173, 30, 596, 711, 284, 3547, 81, 267, 81, 6173, 280, 308, 5066, 81, 267, 81, 6173, 32, 5729, 346, 328, 715, 2107, 1508, 370, 330, 102, 370, 330, 35, 370, 330, 7134, 370, 330, 107, 370, 330, 470, 3490, 203, 325, 3547, 81, 267, 81, 6173, 44, 284, 11685, 32, 2029, 19991, 26, 291, 330, 731, 370, 6215, 47, 685, 22359, 5711, 27, 284, 11685, 32, 2029, 19991, 26, 291, 330, 3617, 370, 291, 540, 20, 1761, 984, 8169, 1436, 1401, 2583, 12687, 619, 432, 4865, 225, 36, 8169, 40, 392, 291, 18123, 367, 5711, 27, 284, 11685, 32, 2029, 19991, 463, 1536, 370, 2297, 347, 7782, 12813, 657, 203, 1824, 44, 284, 11685, 32, 6656, 2029, 463, 731, 683, 284, 11685, 32, 2029, 19991, 26, 291, 330, 3617, 370, 313, 5288, 372, 1188, 322, 5302, 2197, 23168, 1778, 2652, 392, 291, 2680, 5711, 27, 284, 11685, 32, 2029, 19991, 463, 1536, 370, 1014, 2297, 347, 12390, 19, 7782, 12813, 14451, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 0, 5, 4, 5, 3, 4, 4, 4, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 0, 1, 1, 3, 4, 4, 4, 4, 4, 3, 3, 3, 1, 1, 5, 5, 5, 5, 4, 4, 9, 9, 9, 9, 9, 8, 9, 8, 6, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 5, 6, 6, 5, 5, 5, 7, 7, 5, 6, 7, 7, 7, 5, 2, 2, 5, 6, 6, 5, 5, 5, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 6, 5, 2, 2, 5, 6, 6, 5, 7, 7, 5, 6, 8, 8, 8, 1, 2, 2, 2, 2, 6, 7, 7, 6, 8, 8, 3, 3, 6, 7, 7, 6, 6, 6, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 6, 3, 3, 6, 7, 7, 6, 8, 8, 6, 6, 7, 9, 9, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 6, 6, 1, 1, 1, 1, 6, 6, 6, 0, 2, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 3, 3, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 3, 3, 0, 2, 2, 1, 1, 2, 1, 3, 1, 1, 2, 6, 4, 4, 4, 4, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 3, 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 ]
[ 1070, 36387, 32, 101, 37, 32, 496, 1188, 2680, 203, 823, 31494, 26, 668, 711, 284, 665, 1156, 1664, 3207, 784, 30, 10029, 81, 7613, 47, 2521, 711, 291, 1149, 3667, 1664, 3207, 784, 27, 291, 415, 6937, 26, 8539, 81, 7613, 30, 1149, 711, 324, 630, 32, 25165, 280, 10029, 81, 7613, 291, 813, 44, 324, 630, 32, 25165, 280, 1605, 291, 630, 32, 8539, 280, 1665, 291, 630, 32, 678, 81, 8539, 280, 1665, 291, 630, 32, 1978, 81, 8539, 280, 1665, 16189, 630, 32, 1978, 81, 678, 81, 8539, 280, 1665, 291, 630, 32, 1978, 81, 4462, 81, 314, 81, 8539, 280, 1665, 291, 630, 32, 1978, 81, 1648, 81, 314, 81, 8539, 280, 1665, 291, 630, 32, 1978, 81, 19407, 81, 8539, 47, 1665, 291, 630, 32, 1648, 81, 314, 81, 8539, 280, 1665, 291, 630, 32, 297, 81, 359, 13209, 280, 3177, 291, 630, 32, 1978, 81, 1956, 280, 1665, 291, 630, 32, 1517, 280, 2933, 284, 665, 1477, 1308, 26, 784, 30, 636, 30, 11758, 30, 3387, 711, 291, 436, 273, 328, 630, 32, 25165, 44, 324, 415, 636, 610, 273, 77, 34, 2786, 400, 2830, 280, 273, 77, 35, 729, 3841, 27, 400, 630, 32, 1689, 26, 2067, 27, 400, 442, 2830, 291, 415, 636, 610, 330, 6444, 950, 324, 630, 32, 5632, 280, 2680, 346, 324, 442, 630, 32, 5632, 291, 442, 1665, 284, 665, 372, 81, 4398, 26, 784, 30, 786, 30, 861, 81, 853, 1057, 1508, 7831, 291, 415, 786, 610, 861, 81, 853, 44, 324, 442, 2933, 291, 813, 44, 324, 442, 3177, 284, 665, 943, 1308, 26, 784, 30, 636, 30, 786, 30, 3387, 711, 291, 415, 636, 610, 330, 1622, 17551, 950, 324, 630, 32, 297, 81, 359, 13209, 280, 630, 32, 452, 81, 4398, 26, 853, 27, 291, 4348, 636, 610, 330, 11125, 950, 324, 630, 32, 8539, 280, 786, 291, 4348, 636, 610, 330, 953, 11125, 950, 324, 630, 32, 678, 81, 8539, 280, 786, 291, 4348, 636, 610, 330, 3353, 11125, 950, 324, 630, 32, 1978, 81, 8539, 280, 786, 291, 4348, 636, 610, 330, 3353, 953, 11125, 950, 324, 630, 32, 1978, 81, 678, 81, 8539, 280, 786, 291, 4348, 636, 610, 330, 2062, 606, 11125, 950, 324, 630, 32, 1648, 81, 314, 81, 8539, 280, 786, 291, 4348, 636, 610, 330, 3353, 2062, 606, 11125, 950, 324, 630, 32, 1978, 81, 1648, 81, 314, 81, 8539, 280, 786, 291, 4348, 636, 610, 330, 3353, 17339, 11125, 950, 324, 630, 32, 1978, 81, 19407, 81, 8539, 280, 786, 291, 4348, 636, 610, 330, 7845, 606, 11125, 950, 324, 630, 32, 4462, 81, 314, 81, 8539, 280, 786, 291, 4348, 636, 610, 330, 3353, 7845, 606, 11125, 950, 324, 630, 32, 1978, 81, 4462, 81, 314, 81, 8539, 280, 786, 291, 4348, 636, 610, 330, 9001, 950, 324, 630, 32, 6452, 280, 786, 291, 4348, 636, 610, 330, 2708, 7845, 101, 950, 324, 630, 32, 1449, 81, 11255, 280, 629, 26, 853, 27, 291, 4348, 636, 610, 330, 2708, 3637, 950, 324, 630, 32, 1449, 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, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 5, 7, 8, 8, 8, 7, 7, 7, 5, 5, 9, 10, 8, 8, 9, 9, 5, 5, 6, 6, 6, 10, 11, 9, 9, 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, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 6, 7, 5, 5, 5, 7, 8, 8, 9, 10, 9, 7, 7, 10, 10, 12, 13, 12, 13, 12, 8, 8, 11, 12, 11, 12, 11, 8, 8, 9, 4, 4, 5, 6, 6, 8, 8, 5, 5, 9, 10, 8, 8, 10, 6, 6, 7, 8, 9, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 7, 7, 3, 3, 5, 6, 6, 7, 7, 5, 5, 5, 7, 5, 5, 6, 6, 6, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 8, 8, 8, 5, 5, 9, 10, 10, 10, 10, 8, 8, 10, 11, 11, 11, 10, 11, 10, 5, 5, 6, 7, 7, 9, 9, 6, 6, 10, 11, 9, 9, 5, 5, 6, 7, 7, 9, 9, 9, 6, 6, 10, 11, 11, 11, 9, 9, 5, 5, 6, 7, 7, 9, 9, 9, 6, 6, 10, 11, 11, 11, 9, 9, 5, 5, 6, 7, 7, 9, 9, 9, 9, 6, 6, 10, 11, 11, 11, 11, 11, 9, 9, 5, 5, 6, 7, 7, 9, 9, 9, 9, 6, 6, 10, 11, 11, 11, 11, 11, 9, 9, 5, 5, 6, 7, 7, 9, 9, 9, 9, 9, 6, 6, 10, 11, 11, 11, 11, 11, 11, 11, 9, 9, 5, 5, 6, 7, 7, 9, 9, 9, 9, 6, 6, 10, 11, 11, 11, 11, 11, 9, 9, 5, 5, 6, 7, 7, 9, 9, 9, 9, 6, 6, 10, 11, 11, 11, 11, 11, 9, 9, 5, 5, 6, 7, 7, 9, 9, 9, 9, 9, 6, 6, 10, 11, 11, 11, 11, 11, 11, 11, 9, 9, 5, 5, 6, 7, 7, 9, 9, 6, 6, 10, 11, 9, 9, 5, 5, 6, 7, 7, 9, 9, 9, 9, 6, 6, 10, 11, 11, 11, 9, 9, 11, 12, 11, 5, 5, 6, 7, 7, 9, 9, 9, 6, 6, 10, 11, 11 ]
[ 0, 0, 1, 2, 2, 1, 4, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 0, 0, 0, 2, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 4, 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, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 3, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 3, 3, 1, 1, 2, 4, 4, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4, 3, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 4, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 5, 1, 1, 1, 1, 2, 5, 5, 0, 2, 2, 2, 0, 0, 0, 0, 6, 1, 1, 1, 1, 2, 6, 6, 0, 2, 2, 2, 0, 0, 0, 0, 7, 1, 1, 1, 1, 1, 2, 7, 7, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 8, 1, 1, 1, 1, 1, 2, 8, 8, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 9, 1, 1, 1, 1, 1, 1, 2, 9, 9, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 10, 1, 1, 1, 1, 1, 2, 10, 10, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 11, 1, 1, 1, 1, 1, 2, 11, 11, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 12, 1, 1, 1, 1, 1, 1, 2, 12, 12, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 13, 1, 1, 1, 2, 13, 13, 0, 2, 0, 0, 0, 0, 14, 1, 1, 1, 1, 1, 2, 14, 14, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 15, 1, 1, 1, 1, 2, 15, 15, 0, 2, 2 ]
[ 465, 2322, 30, 268, 30, 35382, 30, 3731, 203, 81, 1347, 1489, 47, 500, 32, 12757, 32, 371, 463, 2576, 6224, 1195, 1347, 683, 1206, 328, 463, 1347, 1195, 34, 1195, 1870, 683, 203, 1270, 44, 203, 202, 325, 646, 617, 1347, 1489, 44, 357, 202, 465, 341, 1549, 1356, 32, 693, 1731, 95, 203, 7343, 29986, 44, 203, 202, 4617, 203, 1270, 44, 203, 202, 465, 26313, 203, 7343, 29986, 44, 203, 202, 325, 646, 25, 20875, 69, 25, 266, 2322, 32, 12757, 44, 357, 202, 500, 32, 12757, 710, 20875, 69, 785, 1057, 35, 25, 203, 1824, 44, 203, 202, 105, 809, 47, 42183, 32, 4631, 346, 203, 202, 823, 7652, 81, 2238, 26, 1473, 711, 357, 202, 589, 1156, 1664, 3207, 784, 30, 2238, 711, 355, 202, 784, 32, 2238, 47, 2238, 355, 202, 784, 32, 8644, 47, 784, 32, 2238, 32, 8644, 357, 202, 589, 2866, 26, 784, 30, 2760, 711, 355, 202, 1270, 44, 603, 202, 105, 809, 32, 22214, 346, 603, 202, 784, 32, 2238, 32, 1821, 26, 2760, 27, 603, 202, 784, 32, 2238, 32, 9321, 346, 355, 202, 22192, 44, 603, 202, 105, 809, 32, 3779, 346, 357, 202, 589, 8626, 7888, 26, 784, 711, 355, 202, 601, 630, 32, 2238, 32, 5039, 7888, 346, 357, 202, 589, 15042, 26, 784, 711, 355, 202, 784, 32, 2238, 32, 9321, 346, 357, 202, 589, 438, 269, 618, 26, 784, 711, 355, 202, 601, 630, 32, 2238, 32, 297, 269, 618, 346, 203, 202, 325, 646, 2322, 32, 12757, 32, 371, 463, 2576, 18524, 370, 2700, 711, 357, 202, 325, 804, 26, 3731, 32, 9362, 19162, 314, 26, 3731, 3667, 9362, 505, 711, 355, 202, 3731, 32, 9362, 47, 5207, 81, 2238, 26, 3731, 32, 9362, 27, 355, 202, 3731, 32, 8228, 47, 5207, 81, 2238, 26, 3731, 32, 8228, 27, 203, 465, 5741, 203, 3602, 81, 9302, 28664, 26, 302, 27749, 27, 101, 18147, 85, 35, 27, 101, 42668, 5634, 27, 101, 42668, 85, 36, 27, 101, 18147, 1436, 27, 101, 20, 203, 30540, 81, 9302, 28664, 58, 6069, 63, 6069, 69, 20, 203, 20840, 35911, 203, 10529, 47, 34, 203, 8717, 81, 9980, 12516, 4855, 950, 1815, 1947, 31388, 950, 10255, 106, 35, 84, 77, 34, 35, 45, 35, 95, 1195, 7097, 950, 10255, 106, 35, 84, 77, 34, 35, 45, 37, 35, 95, 1195, 23964, 950, 10255, 106, 35, 84, 77, 37, 36, 95, 1195, 38041, 950, 10255, 106, 35, 84, 77, 37, 37, 95, 1195, 9759, 61, 950, 10255, 106, 35, 84, 77, 37, 39, 95, 1195, 24285, 950, 10255, 106, 35, 84, 77, 34, 35, 45, 37, 38, 95, 1195, 12721, 927, 950, 10255, 106, 35, 84, 77, 37, 40, 95, 1195, 15644, 950, 10255, 106, 35, 84, 77, 34, 95, 1195, 7017, 81, 267, 950, 10255, 106, 35, 84, 77, 49, 36, 39, 90, 1195, 7017, 81, 1719, 950, 10255, 106, 35, 84, 77, 49, 36, 39, 94, 370, 111, 203, 9294, 81, 8364, 47, 1206, 2322, 32, 12757, 32, 371, 463, 19794, 1195, 86, 3332, 683, 266, 710, 86 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 3, 0, 3, 3, 3, 2, 7, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 3, 3, 4, 6, 6, 6, 6, 6, 6, 0, 1, 1, 1, 1, 3, 3, 4, 5, 5, 3, 3, 3, 5, 5, 7, 7, 6, 7, 7, 7, 1, 2, 2, 2, 2, 2, 4, 0, 1, 1, 1, 1, 3, 3, 1, 2, 2, 2, 2, 2, 4, 4, 8, 8, 8, 8, 6, 6, 7, 8, 4, 4, 4, 10, 9, 10, 8, 10, 10, 10, 7, 9, 9, 1, 2, 2, 2, 2, 6, 6, 5, 8, 7, 8, 7, 3, 3, 4, 4, 5, 5, 5, 6, 5, 4, 4, 6, 6, 7, 7, 8, 7, 8, 7, 6, 6, 11, 10, 11, 9, 10, 7, 7, 11, 10, 11, 9, 12, 11, 12, 10, 11, 5, 5, 6, 6, 7, 8, 7, 8, 7, 6, 6, 8, 8, 8, 8, 13, 13, 12, 13, 12, 9, 9, 14, 13, 14, 12, 13, 12, 13, 12, 9, 9, 14, 13, 14, 12, 13, 12, 8, 8, 9, 9, 9, 9, 14, 14, 13, 14, 13, 5, 5, 6, 6, 7, 7, 8, 7, 6, 6, 8, 8, 11, 12, 10, 11, 11, 10, 5, 5, 6, 6, 7, 8, 7, 6, 6, 12, 11, 12, 10, 11, 10, 5, 5, 6, 6, 7, 7, 7, 8, 7, 6, 6, 8, 8, 11, 12, 10, 11, 11, 11, 10, 3, 3, 4, 4, 5, 8, 9, 7, 8, 7, 9, 9, 9, 8, 7, 4, 4, 6, 6, 9, 11, 10, 11, 9, 9, 9, 11, 10, 11, 11, 9, 6, 6, 11, 10, 11, 9, 11, 11, 11, 11, 13, 12, 13, 11, 7, 7, 11, 10, 11, 9, 11, 11, 11, 11, 13, 12, 13, 11, 0, 1, 1, 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, 0, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 0, 3, 2, 0, 3, 2, 3, 0, 3, 3, 3, 2, 6, 6, 5, 3, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 3, 0, 3, 3, 3, 2, 3, 3, 7, 8, 6, 7, 6, 8, 8, 8, 8, 8, 4, 5, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 3, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 3, 2, 0, 0, 0, 0, 2, 0, 2, 4, 4, 0, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 2, 1, 2, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 2, 1, 4, 4, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 3, 3, 2, 1, 2, 3, 3, 0, 0, 2, 0, 2, 1, 4, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 3, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1 ]
[ 505, 464, 505, 280, 3037, 32978, 1461, 13707, 1446, 203, 465, 1156, 14842, 505, 203, 1070, 31074, 1188, 438, 3428, 203, 823, 902, 777, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 1449, 2649, 280, 225, 40, 291, 630, 32, 1449, 7288, 280, 225, 40, 291, 630, 32, 1449, 668, 280, 225, 40, 291, 630, 32, 1449, 955, 280, 225, 39, 291, 630, 32, 1449, 2665, 280, 225, 38, 291, 630, 32, 1449, 470, 280, 225, 40, 291, 630, 32, 1449, 30480, 470, 280, 225, 40, 291, 630, 32, 1449, 40506, 280, 225, 40, 291, 630, 32, 1449, 800, 280, 225, 37, 34, 291, 630, 32, 1449, 3222, 280, 225, 38, 34, 291, 630, 32, 1449, 2455, 280, 225, 36, 34, 284, 665, 26542, 26, 784, 30, 816, 711, 291, 442, 630, 32, 13707, 35, 26, 106, 30, 630, 32, 1449, 2649, 27, 284, 665, 26542, 35, 26, 784, 30, 816, 30, 3193, 711, 291, 7247, 280, 827, 26, 106, 14585, 426, 505, 291, 415, 330, 330, 328, 7247, 44, 324, 8710, 280, 7247, 32, 2998, 346, 324, 7247, 280, 7610, 2473, 2524, 26, 10031, 27, 291, 415, 19326, 26, 784, 30, 330, 13707, 16436, 474, 7247, 711, 324, 442, 18623, 26, 784, 30, 330, 13707, 16436, 474, 7247, 2502, 106, 30, 3193, 27, 291, 813, 44, 324, 309, 280, 1156, 14842, 9818, 13707, 26, 106, 27, 324, 415, 2069, 26, 101, 27, 848, 630, 32, 1449, 2455, 44, 400, 595, 280, 1769, 26, 34, 30, 308, 784, 32, 1449, 2455, 31, 37, 32541, 36, 27, 400, 594, 280, 1769, 26, 34, 30, 630, 32, 1449, 2455, 31, 37, 31, 91, 27, 400, 309, 280, 309, 2867, 91, 79, 474, 330, 34196, 474, 309, 77, 1657, 26, 101, 7824, 92, 10056, 324, 442, 309, 284, 665, 617, 13707, 81, 27816, 26, 784, 30, 816, 30, 3193, 30, 2841, 30, 2091, 30, 1769, 1731, 30, 41013, 1057, 7831, 291, 310, 280, 2069, 26, 106, 27, 291, 415, 3193, 2511, 225, 34, 461, 310, 44, 324, 309, 280, 330, 34196, 291, 813, 44, 324, 537, 2649, 280, 3193, 429, 225, 35, 324, 26542, 35, 280, 630, 32, 13707, 35, 324, 23073, 280, 428, 13707, 35, 26, 7613, 30, 537, 2649, 27, 436, 10313, 328, 438, 3428, 26, 106, 30, 1769, 1731, 2177, 324, 415, 310, 848, 1769, 1731, 44, 225, 23073, 32, 1689, 463, 30865, 324, 309, 280, 5769, 5608, 2524, 26, 33074, 27, 324, 415, 310, 610, 225, 35, 461, 41013, 44, 225, 2091, 280, 41013, 474, 2091, 291, 442, 6611, 101, 23, 101, 23, 101, 25, 904, 308, 1873, 30, 309, 30, 2091, 27, 284, 665, 26542, 81, 7288, 26, 784, 30, 816, 30, 3193, 711, 291, 442, 630, 1114, 13707, 81, 27816, 26, 106, 30, 3193, 30, 330, 12573, 330, 7243, 630, 32, 1449, 7288, 30, 5769, 683, 284, 665, 26542, 81, 668, 26, 784, 30, 816, 30, 3193, 711, 291, 442, 630, 1114, 13707, 81, 27816, 26, 106, 30, 3193, 30, 13198, 370, 330, 16249, 630, 32, 1449, 668, 27, 284, 665, 26542, 81, 955, 26, 784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 5, 5, 5, 5, 0, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 7, 8, 7, 7, 8, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 9, 10, 9, 8, 8, 4, 4, 5, 8, 6, 6, 5, 5, 5, 8, 8, 10, 11, 10, 6, 6, 8, 8, 12, 11, 10, 11, 10, 4, 4, 5, 7, 8, 7, 7, 10, 10, 8, 8, 7, 5, 5, 7, 10, 11, 10, 10, 13, 13, 11, 11, 10, 10, 9, 9, 9, 5, 5, 6, 6, 6, 9, 9, 12, 12, 12, 11, 12, 11, 7, 7, 8, 11, 12, 11, 9, 9, 10, 11, 11, 8, 8, 8, 11, 11, 13, 14, 13, 13, 18, 17, 18, 18, 16, 17, 15, 15, 13, 9, 9, 11, 11, 13, 14, 13, 13, 16, 17, 17, 15, 16, 14, 15, 13, 9, 9, 11, 11, 14, 16, 14, 13, 13, 15, 12, 12, 13, 17, 17, 18, 17, 16, 14, 7, 7, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 7, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 7, 7, 8, 6, 6, 5, 5, 5, 8, 8, 10, 5, 5, 6, 6, 6, 10, 9, 9, 10, 10, 11, 7, 7, 10, 9, 9, 10, 11, 11, 7, 7, 9, 9, 12, 12, 12, 13, 12, 12, 13, 12, 10, 11, 11, 11, 13, 13, 14, 13, 13, 14, 13, 7, 7, 8, 9, 9, 10, 8, 8, 8, 12, 13, 12, 14, 7, 7, 9, 9, 13, 12, 11, 12, 11, 7, 7, 8, 10, 10, 11, 9, 9, 8, 8, 8, 11, 11, 12, 12, 4, 4, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 7, 7, 7, 9, 7, 9, 7, 8, 9, 9, 7, 7, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 7, 7, 7, 9, 7, 9, 7, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5 ]
[ 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 3, 3, 1, 3, 3, 3, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 2, 3, 3, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 3, 2, 2, 1, 3, 3, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 3, 3, 0, 0, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 3, 3, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 3, 2, 1, 3, 3, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 11, 2, 2, 13, 1, 3, 3, 0, 0, 1, 1, 1, 4, 4, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 3, 1, 2, 2, 3, 1, 1, 2, 3, 3, 3, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 5, 0, 0, 2, 1, 1, 5, 5, 5, 0, 0, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 2, 2, 1, 1, 2, 3, 3, 5, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 9, 2, 2, 1, 3, 3, 6, 1, 1, 2, 1 ]
[ 1070, 554, 725, 32, 17099, 1188, 3456, 265, 203, 1070, 554, 725, 32, 980, 20770, 1188, 2252, 20770, 203, 823, 3456, 265, 26988, 26, 14003, 711, 284, 665, 6119, 982, 20770, 26, 784, 30, 43454, 30, 4947, 711, 291, 630, 32, 751, 32, 1436, 463, 8365, 299, 43454, 330, 474, 596, 26, 980, 20770, 490, 291, 5552, 280, 2884, 4620, 46781, 26, 23164, 26, 3665, 1043, 490, 2469, 12253, 6617, 30, 313, 3083, 313, 225, 22466, 26, 779, 27, 2469, 41100, 313, 3083, 313, 9067, 19755, 81, 17806, 313, 3083, 313, 16995, 12253, 38460, 280, 904, 101, 3114, 44527, 26, 3665, 1043, 27, 2377, 904, 101, 313, 3083, 313, 9779, 6936, 44527, 26, 3665, 1043, 27, 313, 3083, 313, 9349, 6936, 12253, 6617, 16867, 657, 291, 9224, 280, 630, 32, 1199, 32, 1217, 26, 2602, 30, 308, 980, 20770, 30, 4947, 30, 9658, 291, 415, 308, 3666, 32, 1793, 81, 2138, 711, 324, 9212, 280, 9224, 32, 44569, 346, 291, 436, 1650, 30, 1623, 328, 10703, 26, 11541, 711, 324, 630, 32, 2024, 32, 1436, 26, 466, 26, 980, 20770, 27, 474, 17359, 474, 1378, 596, 26, 1094, 77, 34, 1130, 474, 17359, 474, 1378, 596, 26, 1094, 77, 35, 5259, 284, 665, 1505, 26988, 26, 784, 711, 291, 1477, 6617, 280, 225, 35, 43, 43, 34, 291, 630, 32, 2024, 32, 1436, 463, 982, 20770, 30, 6617, 30, 26988, 683, 291, 281, 280, 2252, 20770, 346, 291, 281, 32, 3517, 1996, 346, 291, 33233, 7614, 280, 281, 32, 944, 1934, 346, 291, 428, 784, 32, 6212, 982, 20770, 26, 4133, 710, 982, 20770, 779, 2188, 1477, 6617, 27, 276, 436, 3627, 276, 328, 33233, 7614, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 10, 10, 10, 10, 8, 8, 10, 11, 11, 10, 4, 4, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 10, 10, 9, 9, 9, 9, 4, 4, 5, 8, 7, 8, 8, 8, 6, 5, 5, 8, 8, 10, 11, 10, 4, 4, 5, 6, 6, 5, 5, 7, 8, 7, 5, 5, 10, 11, 9, 10, 9, 15, 15, 16, 16, 15, 13, 13, 12, 12, 12, 14, 16, 15, 16, 15, 11, 11, 10, 10, 10, 12, 14, 13, 14, 13, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 6, 6, 7, 7, 7, 7, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 8, 8, 4, 4, 7, 8, 8, 7, 4, 4, 7, 6, 6, 8, 9, 9, 8, 4, 4, 9, 8, 9, 9, 9, 8, 10, 9, 11, 11, 11, 11, 8, 9, 8, 6, 6, 7, 7, 7, 7, 8, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 4, 4, 3, 0, 1, 2, 2, 2, 1, 3, 3, 0, 0, 0, 2, 1, 4, 4, 4, 1, 1, 4, 4, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 4, 4, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 3, 1, 0, 0, 2, 2, 2, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 20717, 203, 465, 5741, 203, 465, 8520, 203, 1070, 1278, 44584, 32, 5057, 1188, 11305, 81, 5057, 203, 1070, 1278, 44584, 32, 1356, 1188, 5298, 203, 1070, 1278, 44584, 32, 25882, 1188, 8888, 1582, 203, 1070, 1278, 44584, 32, 25882, 32, 4190, 1188, 9073, 81, 3028, 203, 1070, 1278, 44584, 32, 25882, 32, 4463, 1582, 81, 5558, 1188, 2568, 203, 823, 488, 18137, 720, 571, 4152, 13976, 26, 1473, 711, 334, 617, 9648, 792, 3906, 1460, 81, 10143, 280, 8520, 32, 3198, 26, 1568, 35, 30, 225, 39, 34, 34, 30, 8520, 32, 792, 1428, 37, 36, 26, 103, 25, 3038, 81, 2171, 2847, 334, 477, 8183, 32, 37697, 334, 665, 617, 4480, 9648, 71, 720, 571, 2711, 882, 26, 397, 630, 30, 4118, 81, 3977, 717, 30, 1202, 30, 3414, 81, 1055, 30, 3414, 81, 2171, 30, 1115, 5321, 711, 334, 665, 617, 4480, 9648, 71, 720, 571, 882, 26, 784, 30, 1202, 711, 284, 345, 2947, 81, 668, 81, 853, 280, 1202, 32, 12640, 26, 103, 25, 9648, 71, 720, 571, 683, 284, 415, 646, 345, 2947, 81, 668, 81, 853, 44, 397, 442, 10703, 24562, 284, 1596, 44, 397, 345, 2947, 81, 668, 280, 630, 1114, 9648, 792, 3906, 1460, 81, 10143, 32, 2208, 26, 95, 2947, 81, 668, 81, 853, 32, 605, 27, 284, 2940, 8520, 32, 36766, 44, 397, 5741, 32, 5691, 26, 103, 25, 8653, 34, 44, 101, 10589, 23382, 372, 3185, 322, 488, 18137, 1202, 44, 301, 35, 44, 101, 16805, 1643, 26, 616, 630, 32, 2474, 30, 1202, 32, 983, 490, 397, 442, 10703, 24562, 284, 442, 10703, 26, 95, 2947, 81, 668, 27, 334, 665, 617, 4480, 9648, 71, 720, 571, 953, 26, 397, 630, 30, 4118, 81, 3977, 717, 30, 1202, 30, 10880, 81, 681, 47, 2521, 30, 1340, 1637, 47, 103, 25, 2219, 35, 36, 39, 36, 7831, 284, 1344, 81, 2665, 280, 2149, 284, 436, 3414, 81, 1055, 30, 3414, 81, 2171, 328, 630, 1114, 4480, 9648, 71, 720, 571, 882, 26, 678, 711, 397, 415, 3414, 81, 2171, 610, 225, 34, 7465, 44, 291, 1626, 397, 786, 81, 800, 280, 630, 1114, 4480, 9648, 71, 720, 571, 2711, 882, 26, 616, 4118, 81, 3977, 717, 30, 1202, 30, 3414, 81, 1055, 30, 3414, 81, 2171, 30, 1340, 1637, 47, 687, 1637, 27, 397, 786, 81, 878, 280, 1044, 25, 1284, 44, 301, 34, 44, 86, 111, 428, 9648, 71, 3846, 301, 35, 44, 86, 10589, 2473, 1643, 26, 616, 3414, 81, 1055, 474, 225, 35, 30, 3414, 81, 2171, 27, 397, 1344, 81, 2665, 77, 853, 81, 878, 79, 280, 786, 81, 800, 284, 1692, 81, 1473, 280, 11305, 81, 5057, 32, 2839, 5378, 1151, 26, 291, 1202, 32, 2135, 81, 15557, 81, 5561, 30, 1202, 32, 983, 30, 1344, 81, 2665, 30, 291, 3401, 47, 678, 32, 2881, 30, 10880, 81, 681, 47, 8200, 81, 681, 30, 291, 1914, 81, 1689, 47, 950, 488, 18137, 720, 571, 683, 284, 4118, 81, 3977, 717, 32, 49007, 1151, 26, 1567, 81, 1473, 27, 203, 823, 488, 18137, 720, 571 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 6, 7, 6, 6, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 7, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 7, 9, 4, 4, 5, 5, 5, 9, 9, 9, 8, 8, 11, 12, 12, 12, 12, 12, 12, 10, 11, 10, 12, 12, 12, 12, 12, 12, 11, 12, 10, 5, 5, 6, 7, 8, 6, 6, 6, 10, 11, 10, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 12, 12, 12, 13, 14, 12, 12, 13, 14, 12, 7, 7, 8, 10, 4, 4, 5, 7, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 7, 7, 6, 6, 4, 4, 5, 7, 7, 6, 6, 7, 7, 5, 5, 7, 8, 8, 8, 8, 8, 8, 7, 8, 7, 5, 5, 7, 9, 9, 8, 8, 9, 9, 7, 7, 7, 6, 6, 9, 9, 8, 8, 10, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 11, 11, 11, 10, 10, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 12, 11, 12, 12, 10, 6, 6, 9, 9, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 10, 10, 12, 12, 11, 11, 12, 10, 10, 11, 11, 10, 6, 6, 10, 10, 9, 10, 10, 10, 9, 8, 8, 9, 9, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 8, 8, 8, 9, 10, 10, 10, 10, 10, 8, 8, 9, 10, 8, 8, 9, 9, 8, 8, 8, 9, 11, 10, 11, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 11, 11, 11, 11, 11, 11, 4, 4, 8, 8, 8, 7, 8, 8, 7, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 4, 4, 4, 7, 7, 0, 8, 8, 1, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 4, 4, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 7, 7, 2, 2, 9, 9, 2, 2, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 4, 4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 3, 1, 2, 3, 3, 3, 0, 2, 1, 0, 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, 2, 1, 3, 3, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 0, 9, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 4, 4, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 0, 9, 2, 2, 1, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 3, 3, 1, 5, 5, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 2, 1, 1, 5, 5, 1, 1, 1, 7, 0, 2, 2, 1, 1, 0, 0, 9, 2, 2, 2, 1, 1, 1, 0, 0, 11, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 9, 9, 1, 1, 1 ]
[ 465, 2322, 203, 465, 5237, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 2322, 32, 983, 32, 21379, 463, 497, 2847, 203, 9081, 280, 2107, 26275, 32, 407, 32, 4846, 431, 542, 785, 203, 4846, 431, 542, 81, 3656, 81, 1174, 280, 330, 1170, 1855, 25, 203, 8881, 81, 983, 280, 2107, 81, 8881, 785, 203, 1855, 81, 12420, 280, 5608, 9632, 25, 203, 2590, 81, 1427, 280, 330, 1055, 25, 203, 2250, 280, 1044, 25, 66, 1269, 94, 315, 25, 203, 11794, 280, 1044, 25, 36, 34, 35, 40, 30, 8359, 17248, 1224, 1087, 97, 5755, 25, 203, 2116, 280, 1044, 25, 5686, 17248, 1224, 1087, 97, 5755, 25, 203, 1648, 280, 1044, 25, 34, 32, 35, 25, 203, 3779, 280, 1044, 25, 34, 32, 35, 25, 203, 4189, 280, 1665, 203, 10444, 81, 15719, 280, 2107, 81, 1832, 370, 330, 13584, 101, 32, 1199, 370, 5608, 4135, 81, 2780, 785, 203, 978, 32725, 81, 1621, 280, 330, 29159, 91, 25, 203, 10425, 81, 1017, 81, 20940, 280, 3177, 203, 916, 81, 4661, 280, 330, 279, 360, 1694, 25, 203, 916, 81, 4661, 81, 2184, 280, 301, 284, 330, 8638, 81, 8937, 950, 2933, 30, 284, 330, 12445, 81, 314, 950, 330, 10309, 31, 41, 43, 41, 35, 37, 40, 39, 34, 31, 35, 370, 284, 330, 933, 81, 496, 950, 330, 93, 387, 716, 370, 284, 330, 933, 81, 6426, 950, 330, 978, 2003, 315, 370, 284, 330, 933, 81, 12006, 950, 2933, 203, 111, 203, 916, 81, 5370, 280, 313, 978, 2003, 315, 36, 32, 1645, 20, 203, 916, 81, 1574, 81, 983, 280, 2107, 81, 1574, 785, 203, 916, 4756, 81, 15705, 280, 330, 66, 1269, 94, 315, 1427, 25, 203, 24189, 81, 7594, 280, 301, 203, 111, 203, 24189, 81, 17274, 280, 428, 284, 308, 2590, 81, 1427, 30, 330, 66, 1269, 94, 315, 32, 8581, 370, 1044, 25, 66, 1269, 94, 315, 12217, 370, 275, 1044, 25, 5686, 17248, 370, 330, 12505, 1425, 203, 79, 203, 1588, 81, 5646, 280, 428, 284, 308, 2590, 81, 1427, 30, 330, 978, 2003, 315, 370, 1044, 25, 66, 1269, 94, 315, 12217, 370, 275, 428, 2116, 614, 225, 35, 27, 203, 79, 203, 8581, 1338, 81, 17274, 280, 428, 284, 308, 2590, 81, 1427, 30, 330, 66, 1269, 94, 315, 370, 1044, 25, 66, 1269, 94, 315, 12217, 370, 275, 4081, 30, 330, 66, 1269, 94, 315, 370, 330, 3582, 1628, 3048, 432, 2074, 6418, 275, 330, 6417, 36786, 1425, 203, 79, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 6, 7, 5, 6, 5, 7, 7, 0, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 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, 0, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 2, 2, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 5, 4, 5, 4, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 9, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 7, 1, 9, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 7138, 203, 465, 10245, 203, 465, 14461, 203, 1070, 8527, 32, 2387, 1188, 11522, 203, 1070, 8527, 32, 525, 1188, 17874, 5965, 203, 1070, 8527, 32, 1262, 32, 34243, 32, 1260, 1188, 18297, 3265, 8770, 203, 1070, 8527, 32, 525, 1188, 17874, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 18548, 81, 9941, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 2304, 32, 525, 1188, 1984, 4434, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 4950, 1044, 33170, 203, 1070, 816, 2300, 32, 12095, 1188, 4755, 203, 1070, 816, 2300, 32, 4338, 1188, 3772, 4191, 4152, 30, 1682, 4191, 1074, 203, 1070, 816, 2300, 32, 4338, 32, 7854, 1188, 3678, 1761, 3763, 30, 6852, 81, 4018, 203, 1070, 816, 2300, 32, 1040, 1188, 11470, 81, 1495, 30, 2266, 81, 979, 81, 1495, 30, 7650, 81, 9941, 30, 2361, 203, 50, 3854, 81, 4018, 32, 3317, 203, 823, 16079, 3763, 26, 1243, 1761, 3763, 711, 284, 6852, 81, 681, 280, 330, 5836, 25, 284, 3048, 280, 30121, 4311, 4549, 4281, 7565, 11834, 284, 3079, 280, 330, 106, 2300, 33, 12035, 33, 5836, 32, 916, 25, 284, 6852, 81, 1566, 280, 330, 1919, 2093, 31, 1632, 31, 5836, 31, 97, 25, 284, 665, 4483, 26, 784, 30, 706, 711, 291, 630, 32, 668, 81, 2132, 280, 706, 32, 3235, 463, 2132, 370, 12797, 291, 630, 32, 5836, 280, 706, 32, 3235, 463, 5836, 370, 1665, 27, 284, 665, 4705, 26, 784, 711, 291, 2599, 26, 6317, 3763, 30, 630, 547, 5522, 346, 291, 630, 32, 16069, 280, 2149, 291, 630, 32, 658, 81, 5836, 280, 3177, 291, 1542, 81, 2300, 280, 630, 32, 2300, 81, 2851, 1114, 8200, 77, 784, 32, 1160, 79, 291, 7565, 280, 630, 32, 5836, 291, 415, 19326, 26, 1160, 81, 2300, 30, 330, 605, 81, 16069, 7831, 324, 415, 7565, 461, 7565, 328, 1542, 81, 2300, 32, 605, 81, 16069, 44, 400, 630, 32, 16069, 280, 301, 5836, 44, 1542, 81, 2300, 32, 605, 81, 16069, 77, 5836, 6653, 400, 630, 32, 658, 81, 5836, 280, 2933, 400, 415, 630, 32, 1311, 438, 1665, 44, 528, 630, 32, 1311, 280, 1542, 81, 2300, 32, 605, 81, 16069, 77, 5836, 997, 371, 463, 1311, 683, 324, 813, 44, 400, 630, 32, 16069, 280, 1542, 81, 2300, 32, 605, 81, 16069, 400, 415, 630, 32, 1311, 438, 1665, 44, 528, 630, 32, 1311, 280, 1044, 33170, 26, 715, 5461, 101, 16079, 101, 657, 904, 630, 32, 1160, 1114, 2859, 32, 10529, 81, 426, 81, 25857, 284, 665, 8626, 519, 81, 19833, 81, 1160, 26, 784, 30, 1542, 30, 1542, 2300, 711, 291, 442, 1560, 26, 32110, 26, 1160, 2300, 30, 330, 605, 81, 16069, 370, 1665, 490, 461, 766, 324, 2599, 26, 6317, 3763, 30, 630, 547, 5039, 519, 81, 19833, 81, 1160, 26, 1160, 30, 1542, 2300, 27, 284, 665, 622, 81, 5836, 81, 965, 26, 784, 30, 636, 30, 354, 711, 291, 442, 630, 32, 1160, 81, 2300, 81, 965, 463, 5836, 370, 636, 27, 474, 313, 12791, 474, 1984 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 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, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 0, 2, 4, 4, 4, 3, 4, 1, 2, 2, 3, 3, 4, 4, 4, 3, 2, 2, 6, 6, 5, 5, 7, 7, 3, 3, 5, 5, 9, 9, 9, 9, 9, 3, 3, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 8, 9, 9, 9, 7, 7, 9, 10, 9, 11, 11, 9, 5, 5, 8, 9, 7, 7, 9, 10, 9, 11, 11, 9, 9, 3, 3, 4, 5, 6, 5, 4, 4, 10, 11, 11, 10, 10, 10, 9, 8, 5, 5, 8, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 8, 8, 7, 7, 10, 11, 11, 11, 9, 10, 8, 10, 9, 10, 8, 5, 5, 7, 7, 8, 9, 5, 5, 6, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 6, 6, 8, 9, 9, 10, 10, 12, 12, 11, 12, 12, 12, 8, 8, 8, 12, 13, 11, 11, 14, 13, 13, 16, 16, 15, 16, 16, 16, 14, 15, 14, 9, 9, 12, 13, 13, 13, 11, 11, 9, 9, 10, 12, 13, 11, 11, 10, 10, 10, 14, 15, 13, 13, 18, 18, 17, 18, 18, 18, 16, 17, 16, 16, 15, 17, 17, 8, 8, 9, 9, 9, 13, 14, 12, 12, 14, 14, 13, 14, 14, 14, 10, 10, 11, 13, 14, 12, 12, 11, 11, 11, 15, 16, 14, 14, 17, 17, 17, 17, 19, 19, 19, 19, 15, 15, 18, 19, 17, 18, 16, 17, 17, 17, 17, 17, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 5, 4, 4, 6, 9, 11, 11, 12, 12, 11, 11, 13, 13, 13, 13, 11, 11, 7, 7, 8, 7, 11, 12, 12, 11, 11, 11, 10, 10, 10, 10, 10, 10, 9, 10, 9, 9, 10, 9, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 10, 11, 11, 11, 11, 11, 10, 12, 12, 10, 10, 8, 8, 10, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 8, 8, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 3, 3, 10, 0, 0, 11, 11, 0, 1, 2, 11, 11, 0, 12, 12, 0, 1, 2, 12, 12, 0, 0, 12, 12, 0, 0, 0, 13, 13, 0, 1, 2, 1, 4, 13, 13, 0, 0, 13, 13, 0, 0, 0, 14, 14, 0, 1, 2, 14, 14, 0, 0, 14, 14, 0, 0, 0, 0, 14, 14, 0, 0, 14, 14, 0, 0, 0, 0, 0, 1, 2, 15, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 2, 1, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 5, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 3, 3, 0, 2, 2, 2, 0, 0, 3, 3, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 4, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 6, 6, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 7, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 7, 7, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1 ]
[ 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 485, 369, 81, 7111, 203, 1648, 81, 11043, 44, 313, 35, 32, 38, 20, 203, 4021, 81, 2310, 44, 41169, 570, 1955, 21308, 9519, 6086, 203, 2310, 44, 284, 429, 1348, 2297, 883, 1487, 461, 10080, 707, 18752, 570, 1955, 21308, 39890, 397, 632, 26, 641, 555, 18014, 32, 2175, 32, 508, 33, 7924, 33, 2180, 33, 43073, 21, 18590, 43073, 547, 397, 2030, 2329, 9567, 3709, 9469, 461, 2748, 9469, 39890, 645, 3974, 6942, 32, 397, 13529, 2443, 33, 5983, 9400, 436, 322, 485, 369, 28, 7896, 883, 397, 526, 2431, 328, 322, 8446, 432, 28520, 33, 858, 33, 89, 369, 81, 4882, 32, 978, 32, 203, 2184, 44, 334, 35562, 81, 2585, 44, 284, 3048, 44, 397, 429, 745, 646, 10080, 322, 9519, 30, 41387, 35562, 561, 645, 600, 1980, 284, 2129, 44, 901, 284, 1244, 44, 313, 1347, 20, 284, 16682, 44, 3037, 7134, 392, 313, 1347, 1446, 284, 20664, 44, 1605, 334, 1980, 81, 426, 44, 284, 3048, 44, 397, 429, 1980, 636, 415, 844, 15853, 372, 12386, 556, 35562, 322, 9519, 3701, 2129, 44, 901, 284, 1244, 44, 744, 3701, 20664, 44, 1605, 334, 2926, 44, 284, 3048, 44, 397, 429, 570, 1955, 10874, 2926, 432, 9519, 30, 9628, 81, 13008, 308, 1536, 27, 556, 9628, 81, 3214, 284, 2129, 44, 901, 284, 1244, 44, 313, 4409, 81, 13008, 20, 3701, 16682, 44, 3037, 4409, 81, 3214, 392, 313, 4409, 81, 13008, 1446, 284, 20664, 44, 1605, 334, 636, 44, 284, 3048, 44, 397, 429, 636, 432, 322, 9519, 284, 2129, 44, 861, 284, 1244, 44, 744, 3701, 20664, 44, 1605, 334, 1334, 81, 6193, 44, 284, 3048, 44, 397, 429, 9844, 4991, 1334, 432, 9519, 308, 266, 21124, 27, 372, 1487, 30, 1244, 438, 225, 35, 34, 21124, 284, 2129, 44, 901, 284, 1244, 44, 225, 35, 34, 284, 20664, 44, 1605, 334, 1778, 44, 284, 3048, 44, 397, 429, 322, 1914, 1778, 372, 793, 436, 322, 9519, 284, 2129, 44, 901, 284, 1244, 44, 744, 284, 20664, 44, 1605, 284, 1503, 81, 11043, 44, 313, 35, 32, 41, 20, 334, 10426, 44, 284, 3048, 44, 397, 429, 322, 1914, 10426, 372, 793, 436, 322, 9519, 284, 2129, 44, 901, 284, 1244, 44, 744, 284, 20664, 44, 1605, 284, 1503, 81, 11043, 44, 313, 35, 32, 41, 20, 334, 1603, 44, 284, 3048, 44, 397, 429, 10848, 1603, 432, 322, 21308, 9519, 284, 2129, 44, 901, 284, 1244, 44, 313, 2689, 20, 284, 16682, 44, 3037, 2480, 392, 313, 2689, 392, 313, 3596, 304, 392, 313, 11965, 1446, 284, 20664, 44, 1605, 334, 10790, 44, 284, 3048, 44, 397, 429, 10790, 328, 1510, 372, 1487, 322, 9519, 284, 2129, 44, 901, 284, 1244, 44, 313, 352, 31, 15785, 35, 31, 84, 20, 284, 20664, 44, 1605, 334, 2719, 81, 3524, 81, 1935, 44, 284, 1503, 81, 11043, 44, 313, 35, 32, 40, 20, 284, 3048, 44, 397, 429, 2719, 3497, 4096, 284, 2129, 44, 901, 284, 1244, 44, 744, 284, 20664, 44, 1605, 334, 32564, 81, 761 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 42406, 1188, 8735, 39, 203, 465, 1133, 203, 465, 5167, 203, 1070, 9371, 1188, 14225, 2140, 203, 823, 37331, 500, 26, 6143, 2140, 711, 284, 32465, 81, 6229, 81, 2474, 280, 313, 47450, 32, 3374, 81, 3517, 20, 284, 665, 1505, 26, 784, 30, 1980, 711, 291, 630, 32, 5691, 440, 2272, 1505, 438, 12687, 328, 19849, 432, 37331, 500, 6514, 461, 22070, 2818, 9371, 3107, 3486, 313, 2030, 1098, 526, 6556, 328, 312, 7062, 1503, 432, 322, 10601, 26647, 14225, 7144, 291, 415, 330, 965, 25, 646, 328, 1980, 44, 324, 3636, 3268, 463, 20972, 500, 1980, 5816, 313, 965, 20, 786, 11834, 291, 1984, 280, 1980, 710, 965, 785, 291, 1980, 81, 3963, 280, 1980, 32, 371, 463, 3963, 370, 11544, 291, 1244, 81, 5457, 280, 630, 32, 1664, 81, 1163, 32, 371, 463, 1536, 81, 5457, 370, 225, 39, 27, 291, 5868, 280, 1897, 26, 2386, 32, 371, 463, 5457, 370, 1244, 81, 5457, 490, 291, 1789, 280, 630, 32, 371, 81, 2590, 81, 9715, 26, 965, 30, 5868, 27, 291, 415, 1789, 438, 646, 1665, 44, 324, 436, 4203, 328, 1789, 710, 9715, 12132, 400, 5911, 280, 2107, 4298, 6078, 474, 4203, 710, 426, 18038, 474, 1980, 81, 3963, 400, 630, 32, 33093, 463, 47450, 32, 4298, 32, 43075, 370, 2069, 26, 4298, 710, 43075, 16578, 5911, 47, 3963, 27, 400, 630, 32, 33093, 463, 47450, 32, 4298, 32, 3292, 370, 4203, 710, 3292, 2188, 5911, 47, 3963, 27, 400, 6086, 280, 4203, 710, 5379, 785, 400, 436, 5601, 328, 2107, 33419, 1195, 1835, 12132, 528, 415, 5601, 328, 6086, 44, 715, 630, 32, 33093, 463, 47450, 32, 4298, 4564, 474, 5601, 30, 6086, 77, 2437, 614, 5911, 47, 3963, 27, 291, 1789, 280, 630, 32, 371, 81, 2590, 81, 5136, 26, 965, 30, 5868, 27, 291, 415, 1789, 438, 646, 1665, 44, 324, 5911, 280, 1980, 81, 3963, 324, 436, 1202, 328, 3850, 26, 1986, 711, 400, 630, 32, 33093, 463, 47450, 32, 5136, 4564, 474, 1202, 30, 1789, 77, 678, 614, 5911, 47, 3963, 27, 291, 1789, 280, 630, 32, 371, 81, 2590, 81, 1293, 26, 965, 30, 5868, 27, 291, 415, 1789, 438, 646, 1665, 44, 324, 5911, 280, 1980, 81, 3963, 324, 436, 5601, 328, 2107, 286, 25223, 81, 2003, 7757, 1195, 7815, 81, 8246, 1195, 15009, 81, 8246, 1195, 93, 12088, 81, 8246, 1195, 25098, 81, 8246, 1195, 270, 4838, 81, 8246, 1195, 9771, 81, 8246, 12132, 400, 630, 32, 33093, 463, 47450, 32, 1293, 4564, 474, 5601, 30, 1789, 77, 2437, 614, 5911, 47, 3963, 27, 324, 436, 8361, 328, 1789, 710, 43075, 12132, 400, 5911, 280, 2107, 2846, 6078, 474, 8361, 710, 314, 18038, 474, 1980, 81, 3963, 400, 6086, 280, 8361, 710, 5379, 785, 400, 436, 5601, 328, 2107, 33419, 1195, 1835, 12132, 528, 415, 5601, 328, 6086, 44, 715, 630, 32, 33093, 463, 47450, 32, 1293, 32, 2846, 4564, 474, 5601, 30, 6086, 77, 2437, 614, 5911, 47, 3963, 27, 324, 436, 22070, 328, 1789, 710, 2003, 7757, 12132, 400, 5911, 280, 2107, 47450, 1195, 20518, 6078, 474 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 8, 8, 6, 6, 6, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 6, 6, 7, 9, 9, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 8, 4, 4, 7, 7, 6, 6, 9, 10, 10, 10, 8, 9, 8, 10, 10, 10, 10, 8, 9, 8, 4, 4, 6, 6, 8, 11, 10, 11, 10, 12, 12, 10, 11, 11, 10, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 4, 4, 5, 6, 6, 6, 5, 5, 5, 7, 7, 7, 8, 10, 10, 7, 7, 10, 10, 15, 15, 13, 13, 14, 16, 16, 11, 11, 12, 12, 8, 8, 11, 12, 11, 13, 13, 13, 13, 13, 13, 11, 13, 15, 14, 16, 16, 11, 12, 13, 11, 8, 8, 11, 12, 11, 13, 13, 13, 13, 13, 13, 11, 12, 14, 14, 11, 12, 13, 11, 8, 8, 10, 10, 11, 13, 13, 8, 8, 9, 9, 9, 12, 12, 12, 12, 9, 9, 11, 12, 12, 11, 11, 11, 15, 16, 15, 18, 18, 18, 18, 16, 16, 15, 15, 16, 17, 16, 15, 16, 17, 15, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 4, 4, 5, 6, 6, 6, 5, 5, 5, 8, 8, 9, 9, 6, 6, 7, 7, 7, 9, 10, 9, 7, 7, 11, 12, 11, 14, 14, 14, 14, 12, 12, 11, 11, 12, 13, 12, 11, 12, 13, 11, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 4, 4, 5, 6, 6, 6, 5, 5, 5, 8, 8, 9, 9, 6, 6, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 11, 12, 11, 14, 14, 14, 14, 12, 12, 11, 11, 12, 13, 12, 11, 12, 13, 11, 6, 6, 7, 7, 7, 8, 10, 10, 7, 7, 10, 10, 15, 15, 13, 13, 14, 16, 16, 11, 11, 12, 12, 8, 8, 10, 10, 11, 13, 13, 8, 8, 9, 9, 9, 12, 12, 12, 12, 9, 9, 11, 12, 12, 11, 11, 11, 15, 16, 15, 18, 18, 18, 18, 18, 18, 16, 16, 15, 15, 16, 17, 16, 15, 16, 17, 15, 6, 6, 7, 7, 7, 8, 10, 10, 10, 7, 7, 10, 10, 14, 14, 15, 15, 13 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 4, 4, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 7, 1, 1, 1, 7, 7, 7, 0, 0, 0, 3, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 5, 2, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 5, 2, 1, 5, 5, 0, 0, 2, 1, 2, 5, 5, 4, 4, 4, 1, 2, 1, 2, 4, 4, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 3, 1, 5, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 9, 1, 1, 1, 9, 9, 9, 0, 0, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 3, 1, 5, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 11, 1, 1, 1, 11, 11, 11, 0, 0, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 3, 1, 5, 2, 1, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 2, 1, 2, 5, 5, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 3, 1, 5, 2, 1, 3, 3, 3, 3, 3, 3, 1, 1, 2, 3, 3, 0, 0, 1, 2, 1, 1, 3 ]
[ 1070, 617, 12063, 612, 1188, 308, 275, 622, 12063, 612, 998, 30, 275, 622, 12063, 8046, 30, 275, 2488, 30, 275, 7664, 30, 275, 27087, 5392, 620, 30, 275, 15637, 620, 30, 275, 9494, 620, 27, 203, 1070, 617, 12063, 612, 470, 1188, 31284, 885, 30, 617, 21863, 12380, 203, 465, 13625, 261, 203, 5392, 2424, 280, 308, 5392, 620, 30, 27087, 5392, 620, 27, 203, 505, 464, 505, 280, 3037, 612, 392, 313, 5866, 392, 313, 371, 12063, 612, 998, 392, 313, 371, 12063, 8046, 392, 2607, 313, 20984, 953, 7870, 392, 313, 3564, 620, 392, 313, 5392, 620, 392, 2607, 313, 14489, 5392, 620, 392, 313, 5392, 2424, 392, 313, 20984, 882, 7870, 392, 2607, 313, 20984, 885, 1446, 203, 823, 31284, 882, 7870, 26, 9769, 32, 12907, 4806, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 4124, 711, 291, 665, 3345, 26, 7015, 30, 630, 612, 47, 612, 26, 784, 8531, 324, 630, 280, 630, 612, 346, 324, 415, 630, 438, 646, 1665, 44, 400, 415, 630, 1114, 1731, 1741, 44, 528, 630, 1114, 9671, 81, 32962, 9359, 32, 1689, 26, 7015, 32, 678, 27, 400, 813, 44, 528, 3555, 630, 32, 605, 77, 7015, 32, 678, 79, 291, 630, 1114, 2546, 280, 3345, 291, 630, 1114, 9671, 81, 32962, 9359, 280, 1605, 291, 630, 1114, 1731, 1741, 280, 739, 346, 291, 630, 32, 605, 280, 343, 280, 2149, 291, 630, 32, 1877, 2740, 1132, 30, 1115, 4124, 27, 284, 665, 617, 3375, 81, 32962, 9359, 26, 784, 711, 291, 456, 280, 630, 1114, 9671, 81, 32962, 9359, 291, 343, 280, 630, 32, 605, 291, 2218, 456, 44, 324, 3555, 343, 77, 94, 32, 3235, 7662, 284, 665, 1156, 33644, 3207, 784, 30, 1202, 711, 291, 337, 280, 630, 32, 605, 77, 678, 15435, 291, 415, 337, 438, 1665, 44, 324, 3636, 25085, 26, 678, 27, 291, 813, 44, 324, 442, 337, 284, 665, 1156, 4025, 1094, 3207, 784, 30, 1202, 711, 291, 415, 630, 1114, 9671, 81, 32962, 9359, 44, 324, 630, 1114, 3375, 81, 32962, 9359, 346, 291, 3555, 630, 32, 605, 77, 678, 79, 284, 665, 1156, 1657, 3207, 784, 711, 291, 442, 2069, 26, 784, 32, 605, 27, 429, 2069, 26, 784, 1114, 9671, 81, 32962, 9359, 27, 284, 665, 1156, 4752, 3207, 784, 30, 1202, 711, 291, 1596, 44, 324, 337, 280, 630, 32, 605, 77, 678, 15435, 291, 2940, 25085, 44, 324, 442, 3177, 291, 442, 337, 438, 646, 1665, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 3778, 20984, 882, 7870, 821, 904, 101, 5844, 904, 804, 26, 784, 27, 284, 665, 1156, 470, 1094, 3207, 784, 30, 1202, 30, 786, 711, 291, 415, 630, 1114, 9671, 81, 32962, 9359, 44, 324, 630, 1114, 3375, 81, 32962, 9359, 346, 291, 630, 32, 605, 77, 678, 79, 280, 3891, 318, 2084, 26, 853, 30, 630, 1114, 2546, 30, 1202, 27, 284, 665, 1933, 26, 784, 711, 291, 537, 280, 31284, 882, 7870, 346, 291, 436, 1202, 30, 5070, 328, 630, 32, 605, 32, 3028, 2262, 324, 337, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 0, 0, 3, 3, 2, 2, 4, 4, 3, 3, 4, 4, 3, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 6, 7, 6, 6, 8, 7, 9, 9, 10, 9, 5, 5, 8, 8, 10, 10, 6, 6, 7, 8, 8, 8, 7, 7, 7, 9, 10, 11, 11, 9, 9, 9, 14, 15, 15, 15, 15, 13, 14, 13, 15, 14, 15, 13, 9, 9, 10, 10, 10, 12, 14, 15, 13, 15, 14, 15, 13, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 8, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 8, 8, 8, 4, 4, 6, 6, 7, 8, 4, 4, 5, 5, 5, 5, 7, 8, 11, 10, 11, 10, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 7, 9, 10, 9, 5, 5, 6, 6, 6, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 7, 7, 7, 5, 5, 5, 9, 10, 10, 10, 10, 9, 4, 4, 5, 7, 8, 6, 7, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 10, 9, 10, 8, 6, 6, 8, 10, 9, 10, 10, 10, 10, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 8, 8, 11, 12, 10, 11, 10, 5, 5, 6, 6, 6, 6, 8, 4, 4, 5, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 7, 7, 7, 7, 5, 5, 5, 9, 10, 10, 10, 10, 9, 4, 4, 8, 9, 7, 8, 7, 6, 6, 8, 8, 8, 9, 8, 8, 9, 10, 8, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 4, 4, 5, 6, 6, 5, 5, 8, 9, 7, 8, 7, 5, 5, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 5, 5, 1, 1, 2, 0, 1, 2, 2, 2, 5, 5, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 3, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 4, 4, 4, 0, 0, 2, 1, 0, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 4, 4, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 4, 4, 4, 0, 4, 4, 3, 1, 1, 1, 1, 2, 2, 2, 3, 3, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 1, 0, 2, 1, 2, 1, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 4, 4, 5, 1, 1, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 3, 3, 3, 3, 0, 4, 4, 1, 1, 1, 1, 4, 4, 6, 1, 1, 1, 2, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 1, 1, 1, 1, 2, 2, 2, 2, 2, 7, 7, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 4, 4, 8, 2, 1, 2, 8, 8, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0 ]
[ 505, 13411, 505, 280, 313, 1617, 33, 3483, 33, 69, 8407, 33, 13038, 33, 1562, 11377, 32, 978, 225, 39, 35, 37, 38, 225, 36, 34, 35, 34, 33, 34, 42, 33, 35, 40, 225, 36, 37, 44, 34, 36, 44, 38, 34, 323, 286, 4192, 278, 20, 203, 465, 316, 203, 465, 358, 8407, 32, 1212, 203, 465, 358, 8407, 32, 1212, 32, 6883, 203, 465, 358, 8407, 32, 13038, 203, 465, 358, 8407, 32, 1733, 203, 465, 358, 8407, 32, 12069, 203, 823, 506, 43, 34, 13038, 26, 69, 8407, 32, 13038, 32, 45754, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 12809, 307, 30, 1519, 81, 4502, 30, 353, 793, 81, 7920, 30, 5147, 81, 7920, 30, 665, 81, 7920, 30, 319, 1132, 30, 1115, 4124, 711, 291, 630, 32, 1220, 81, 539, 280, 316, 32, 6993, 26, 539, 81, 7920, 30, 316, 32, 63, 27, 291, 630, 32, 1220, 81, 42706, 280, 316, 32, 6993, 26, 42706, 81, 7920, 30, 316, 32, 63, 27, 291, 630, 32, 1220, 81, 589, 280, 316, 32, 6993, 26, 589, 81, 7920, 30, 316, 32, 63, 27, 291, 665, 617, 6979, 26, 1251, 30, 4533, 30, 1519, 30, 630, 47, 784, 711, 324, 1541, 280, 1541, 32, 100, 761, 346, 324, 415, 646, 1541, 32, 4658, 2262, 400, 442, 1605, 324, 442, 630, 32, 6979, 26, 1251, 30, 4533, 30, 1519, 27, 291, 8556, 710, 1126, 785, 280, 617, 6979, 291, 8556, 710, 983, 81, 1126, 785, 280, 358, 8407, 32, 13038, 32, 4868, 1215, 25530, 26, 983, 81, 4502, 27, 291, 8556, 710, 19100, 785, 280, 225, 35, 291, 8556, 710, 101, 3494, 785, 280, 12809, 307, 291, 8556, 710, 426, 785, 280, 636, 291, 358, 8407, 32, 13038, 32, 3059, 3667, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 4124, 27, 284, 665, 8971, 26, 784, 30, 1541, 30, 4533, 30, 1519, 47, 22805, 291, 415, 1541, 32, 6411, 863, 1665, 44, 324, 27437, 81, 363, 81, 6411, 280, 1541, 32, 6411, 291, 813, 44, 324, 8600, 280, 630, 32, 1220, 81, 42706, 32, 32852, 26, 1251, 32, 371, 81, 878, 81, 8078, 1157, 324, 7896, 280, 630, 32, 1220, 81, 539, 32, 32852, 26, 1251, 32, 371, 81, 878, 81, 8078, 1157, 324, 665, 3477, 280, 630, 32, 1220, 81, 589, 32, 32852, 26, 1251, 32, 371, 81, 878, 81, 8078, 1157, 324, 343, 280, 2149, 324, 436, 345, 328, 665, 3477, 44, 400, 343, 77, 95, 32, 5729, 7662, 280, 225, 35, 324, 7896, 280, 428, 95, 436, 345, 328, 7896, 415, 345, 32, 5729, 346, 646, 328, 343, 79, 324, 12809, 280, 4533, 32, 18114, 24542, 7321, 8265, 2396, 4135, 48150, 6578, 683, 324, 7896, 280, 428, 106, 32, 5729, 346, 474, 12809, 436, 816, 328, 7896, 79, 324, 27437, 81, 363, 81, 6411, 280, 358, 8407, 32, 1733, 32, 5665, 26, 6411, 29, 3477, 27, 324, 1541, 32, 6411, 280, 27437, 81, 363, 81, 6411, 291, 5166, 280, 1605, 291, 1914, 81, 1515, 280, 1541, 32, 371, 81, 1515, 346, 291, 415, 20695, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 2, 2, 2, 2, 5, 5, 4, 5, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 9, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 9, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 9, 10, 8, 4, 4, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 7, 8, 6, 5, 5, 8, 8, 10, 11, 11, 10, 6, 6, 7, 8, 10, 11, 10, 7, 7, 9, 6, 6, 7, 9, 10, 9, 10, 9, 9, 9, 9, 9, 4, 4, 7, 9, 9, 6, 6, 7, 4, 4, 7, 9, 9, 9, 9, 6, 6, 10, 9, 10, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 9, 9, 6, 6, 7, 4, 4, 7, 9, 9, 9, 6, 6, 7, 4, 4, 7, 9, 9, 6, 6, 4, 4, 10, 9, 10, 8, 9, 7, 8, 8, 8, 7, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 9, 9, 9, 9, 8, 8, 9, 10, 5, 5, 6, 6, 6, 9, 9, 12, 13, 13, 13, 11, 12, 11, 14, 13, 14, 14, 14, 14, 14, 13, 7, 7, 9, 9, 12, 13, 13, 13, 11, 12, 11, 14, 13, 14, 14, 14, 14, 14, 13, 7, 7, 10, 9, 9, 12, 13, 13, 13, 11, 12, 11, 14, 13, 14, 14, 14, 14, 14, 13, 7, 7, 9, 9, 7, 7, 8, 8, 8, 9, 8, 8, 8, 12, 15, 14, 15, 14, 11, 11, 12, 7, 7, 9, 9, 11, 10, 11, 11, 11, 10, 11, 14, 15, 14, 12, 12, 12, 10, 7, 7, 9, 9, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 7, 7, 9, 9, 14, 13, 14, 13, 11, 11, 10, 11, 11, 11, 10, 7, 7, 10, 10, 10, 10, 9, 9, 13, 12, 13, 11, 12, 11, 13, 12, 13, 11, 7, 7, 10, 11, 9, 9, 10, 10, 10, 10, 4, 4, 6, 6, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 5, 7 ]
[ 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, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 3, 3, 0, 1, 2, 1, 4, 0, 4, 4, 0, 1, 2, 0, 5, 5, 0, 1, 2, 0, 6, 6, 0, 1, 2, 0, 7, 7, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 7, 7, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 7, 7, 2, 2, 2, 9, 9, 2, 2, 11, 11, 2, 2, 13, 13, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 3, 3, 0, 0, 0, 2, 2, 1, 4, 4, 1, 1, 0, 2, 1, 1, 1, 0, 4, 4, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 1, 2, 0, 0, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 1, 2, 0, 0, 2, 4, 4, 0, 1, 1, 2, 0, 0, 2, 4, 4, 0, 1, 2, 0, 0, 4, 4, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 4, 4, 4, 3, 4, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 3, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 3, 1 ]
[ 1070, 638, 496, 1188, 2680, 203, 1070, 638, 3626, 1188, 6061, 203, 1070, 638, 11893, 1188, 30505, 203, 1070, 638, 1188, 8745, 203, 1070, 638, 20784, 1188, 5400, 30, 11026, 620, 203, 1070, 638, 21759, 1188, 44721, 203, 465, 1933, 203, 823, 35773, 1078, 44, 284, 1156, 18645, 505, 280, 428, 330, 2848, 81, 314, 370, 330, 286, 1549, 370, 330, 26541, 370, 330, 784, 81, 26541, 370, 1750, 330, 784, 81, 286, 1549, 370, 330, 297, 81, 1549, 93, 370, 330, 5894, 81, 3237, 25, 1481, 284, 665, 1156, 1664, 3207, 784, 30, 1115, 5321, 711, 291, 630, 32, 2848, 81, 314, 280, 10306, 32, 371, 463, 2848, 81, 314, 683, 291, 630, 1114, 1877, 81, 5894, 81, 1293, 14605, 5321, 27, 284, 665, 617, 1877, 81, 5894, 81, 1293, 26, 784, 30, 1115, 5321, 711, 291, 630, 32, 784, 81, 26541, 280, 10306, 32, 371, 463, 784, 81, 26541, 370, 3177, 27, 291, 630, 32, 784, 81, 286, 1549, 280, 10306, 32, 371, 463, 784, 81, 286, 1549, 370, 3177, 27, 291, 630, 32, 297, 81, 1549, 93, 280, 10306, 32, 371, 463, 33980, 370, 3177, 27, 291, 630, 32, 26541, 280, 10306, 32, 371, 463, 26541, 370, 3177, 27, 291, 630, 32, 286, 1549, 280, 10306, 32, 371, 463, 286, 1549, 370, 3177, 27, 291, 630, 32, 5894, 81, 3237, 280, 10306, 32, 371, 463, 5894, 81, 3237, 683, 203, 589, 21096, 81, 5894, 81, 10615, 26, 6933, 711, 284, 436, 5601, 328, 35773, 1078, 3667, 18645, 26927, 291, 665, 19037, 26, 784, 30, 816, 47, 2437, 711, 324, 442, 18623, 26, 784, 32, 5894, 30, 816, 27, 291, 39506, 26, 6933, 30, 5601, 30, 2804, 26, 18241, 490, 284, 442, 9011, 203, 50, 15478, 81, 5894, 81, 10615, 203, 823, 13989, 26, 1240, 711, 284, 1156, 18645, 505, 280, 428, 330, 9715, 370, 330, 35683, 81, 269, 370, 330, 1517, 370, 330, 3626, 370, 330, 1786, 370, 330, 14987, 370, 330, 5894, 25, 1481, 284, 665, 1156, 1664, 3207, 784, 30, 1115, 5321, 711, 291, 2599, 17094, 1664, 3207, 326, 5321, 32, 371, 463, 496, 2847, 291, 630, 32, 5894, 280, 35773, 1078, 14605, 5321, 27, 291, 630, 32, 35683, 81, 269, 280, 8745, 32, 2208, 81, 1003, 26, 5321, 32, 371, 463, 35683, 81, 269, 2847, 291, 630, 32, 9715, 280, 10306, 32, 371, 463, 9715, 370, 11544, 291, 630, 32, 1517, 280, 5400, 32, 23658, 291, 4181, 280, 10306, 32, 371, 463, 3626, 370, 12797, 291, 630, 32, 3626, 280, 6061, 14605, 3626, 27, 415, 4181, 813, 1665, 291, 630, 32, 1786, 280, 10306, 32, 371, 463, 1786, 370, 1665, 27, 291, 630, 32, 14987, 280, 10306, 32, 371, 463, 14987, 370, 1665, 27, 284, 665, 617, 1877, 81, 5894, 81, 1293, 26, 784, 30, 1115, 5321, 711, 291, 630, 32, 5894, 32, 784, 81, 26541, 280, 10306, 32, 371, 463, 784, 81, 26541, 370, 3177, 27, 291, 630, 32, 5894, 32, 784, 81, 286, 1549, 280, 10306, 32, 371, 463, 784, 81, 286, 1549, 370, 3177, 27, 291, 630, 32, 5894, 32, 297, 81, 1549 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 4, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 5, 5, 4, 4, 5, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 8, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 8, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 5, 4, 5, 5, 3, 3, 5, 6, 7, 6, 6, 7, 8, 6, 5, 5, 7, 9, 11, 10, 11, 9, 9, 9, 4, 4, 7, 8, 7, 7, 7, 7, 9, 10, 9, 2, 2, 3, 0, 2, 3, 3, 3, 3, 3, 1, 2, 2, 3, 4, 3, 2, 2, 6, 6, 5, 5, 6, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 3, 3, 4, 5, 5, 6, 5, 5, 7, 5, 4, 4, 10, 9, 9, 9, 12, 11, 12, 11, 13, 13, 5, 5, 8, 9, 7, 7, 9, 9, 11, 9, 5, 5, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 9, 12, 11, 12, 11, 13, 13, 13, 13, 5, 5, 8, 9, 7, 7, 9, 10, 9, 11, 11, 9, 5, 5, 8, 9, 7, 7, 8, 9, 5, 5, 7, 7, 9, 10, 9, 11, 11, 9, 5, 5, 8, 9, 7, 7, 10, 12, 10, 8, 8, 8, 8, 5, 5, 8, 9, 7, 7, 9, 10, 9, 11, 11, 9, 9, 5, 5, 8, 9, 7, 7, 9, 10, 9, 11, 11, 9, 9, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 7, 5, 4, 4, 9, 10, 8, 9, 9, 9, 7, 7, 9, 10, 9, 11, 11, 11, 11, 9, 9, 5, 5, 9, 10, 8, 9, 9, 9, 9, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 9, 9, 5, 5, 9, 10, 8, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 7, 7, 1, 7, 7, 7, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 8, 8, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 3, 2, 2, 0, 0, 0, 2, 1, 2, 2, 3, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 9, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 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, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2 ]
[ 1070, 3619, 29382, 32, 1071, 1188, 2202, 81, 1163, 203, 1070, 638, 3378, 1188, 390, 7198, 3355, 30, 390, 7198, 3355, 81, 7625, 30, 1076, 387, 9858, 30, 4593, 387, 9858, 81, 85, 7198, 3355, 30, 4593, 387, 9858, 81, 37246, 9780, 30, 475, 5184, 81, 2851, 30, 47431, 905, 30, 47431, 905, 81, 331, 469, 3440, 30, 47431, 905, 81, 5000, 30, 22768, 956, 905, 30, 47431, 905, 81, 25032, 203, 1070, 526, 5190, 32, 11202, 1188, 6548, 11063, 203, 1070, 7138, 1188, 7138, 203, 465, 31074, 203, 1070, 551, 33781, 32, 65, 4384, 3350, 1188, 546, 4384, 3350, 203, 465, 273, 16826, 107, 203, 465, 35513, 203, 465, 22045, 203, 1070, 3619, 29382, 81, 27823, 1188, 622, 81, 27823, 203, 1070, 3619, 29382, 81, 27823, 32, 1436, 1188, 4578, 203, 1070, 3619, 29382, 81, 27823, 32, 27823, 1188, 17447, 265, 203, 1070, 3619, 29382, 32, 525, 11452, 1188, 308, 284, 4808, 3595, 30, 284, 4808, 5965, 30, 203, 27, 203, 1070, 3619, 29382, 32, 4373, 1188, 308, 284, 15653, 30, 284, 23262, 30, 284, 22714, 81, 18267, 30, 203, 27, 203, 1070, 10548, 1188, 308, 284, 3991, 81, 2848, 81, 1793, 81, 1526, 30, 284, 3627, 81, 452, 81, 725, 1167, 30, 284, 3720, 53, 4223, 20485, 30, 284, 3720, 14049, 282, 30, 284, 3720, 634, 6591, 30, 284, 3720, 5324, 30, 202, 284, 3720, 1208, 83, 30, 284, 3720, 37428, 476, 66, 30, 284, 3720, 65, 899, 9780, 30, 284, 3720, 65, 899, 9780, 8863, 30, 284, 3720, 8341, 339, 30673, 4945, 30, 202, 284, 3720, 10171, 272, 4945, 30, 284, 3720, 39925, 99, 1208, 83, 30, 284, 3720, 65, 899, 56, 2618, 30, 284, 3720, 65, 899, 6076, 30, 284, 3720, 903, 3093, 476, 1076, 104, 30, 284, 3720, 14652, 956, 905, 30, 203, 27, 203, 465, 409, 599, 203, 465, 6141, 203, 50, 1071, 81, 1163, 26, 4351, 81, 426, 1057, 266, 9308, 370, 13100, 1057, 266, 9308, 32, 25509, 683, 203, 589, 1672, 81, 1071, 26, 1357, 711, 1568, 588, 86, 261, 415, 646, 313, 26678, 7294, 20, 328, 1326, 32, 1199, 44, 291, 1326, 32, 1199, 1365, 26678, 7294, 1446, 280, 475, 5184, 81, 2851, 346, 284, 24834, 425, 81, 269, 104, 280, 1326, 32, 1199, 710, 26678, 7294, 5695, 269, 1029, 425, 81, 269, 104, 284, 28312, 286, 81, 269, 104, 81, 37246, 280, 1326, 32, 1199, 710, 26678, 7294, 5695, 12561, 286, 81, 269, 104, 81, 37246, 284, 28312, 286, 81, 269, 104, 81, 3381, 280, 1326, 32, 1199, 710, 26678, 7294, 5695, 12561, 286, 81, 269, 104, 81, 3381, 284, 28312, 286, 81, 3381, 280, 1326, 32, 1199, 710, 26678, 7294, 5695, 12561, 286, 81, 3381, 284, 28312, 286, 81, 88, 11193, 280, 1326, 32, 1199, 710, 26678, 7294, 5695, 12561, 286, 81, 88, 11193, 284, 28312, 286, 81, 11966, 280, 1326, 32, 1199, 710, 26678, 7294, 5695, 12561, 286, 81, 11966, 284, 28312, 286, 81, 331, 469, 280, 1326, 32, 1199, 710, 26678, 7294, 5695, 12561, 286, 81, 331, 469, 284, 3466, 12818, 81, 269, 104, 280, 1326, 32, 1199, 710 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 2, 4, 4, 4, 4, 6, 6, 6, 5, 7, 7, 7, 4, 5, 7, 7, 7, 7, 7, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 7, 8, 6, 8, 8, 8, 5, 5, 7, 7, 7, 7, 0, 0, 3, 3, 3, 3, 2, 2, 5, 6, 4, 6, 6, 6, 4, 4, 4, 4, 4, 4, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 0, 0, 3, 3, 3, 2, 2, 5, 6, 4, 6, 6, 6, 4, 4, 4, 4, 0, 0, 3, 3, 3, 3, 2, 2, 5, 6, 4, 6, 6, 6, 4, 4, 4, 4, 4, 0, 0, 3, 3, 3, 2, 2, 5, 6, 4, 6, 6, 6, 4, 4, 4, 4, 0, 0, 3, 3, 3, 3, 2, 2, 5, 6, 4, 6, 6, 6, 4, 4, 4, 4, 4, 0, 0, 3, 3, 3, 3, 2, 2, 5, 6, 4 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 5, 5, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 6, 6, 0, 0, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 10, 10, 0, 0, 0, 1, 2, 10, 10, 0, 11, 11, 0, 0, 0, 1, 2, 11, 11, 0, 0, 12, 12, 0, 1, 2, 2, 12, 12, 12, 12, 0, 12, 12, 12, 0, 12, 12, 12, 0, 13, 13, 0, 1, 2, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 0, 0, 13, 13, 13, 0, 14, 14, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 14, 14, 14, 0, 0, 0, 0, 0, 14, 14, 14, 0, 0, 0, 14, 14, 14, 0, 0, 14, 14, 14, 0, 0, 14, 14, 14, 0, 14, 14, 14, 14, 0, 0, 14, 14, 14, 0, 0, 0, 14, 14, 14, 0, 0, 0, 14, 14, 14, 0, 0, 0, 0, 14, 14, 14, 0, 0, 0, 0, 14, 14, 14, 14, 0, 0, 0, 14, 14, 14, 0, 0, 0, 0, 14, 14, 14, 0, 0, 0, 0, 14, 14, 14, 0, 0, 0, 14, 14, 14, 0, 0, 0, 0, 0, 14, 14, 14, 0, 0, 0, 14, 14, 14, 0, 15, 15, 0, 0, 16, 16, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 2, 17, 1, 1, 1, 1, 2, 1, 2, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ]
[ 1070, 328, 2465, 716, 32, 18244, 32, 1199, 1217, 1188, 1420, 81, 2602, 203, 27263, 81, 267, 280, 2107, 266, 2465, 716, 81, 3779, 81, 35, 81, 35, 81, 34, 785, 203, 589, 3099, 2262, 284, 442, 313, 1812, 21849, 1553, 81, 7004, 1858, 20, 203, 589, 745, 81, 13874, 2262, 284, 1420, 81, 2602, 27265, 203, 6037, 4925, 5503, 2370, 12139, 21849, 1553, 81, 7004, 308, 334, 636, 7246, 26, 35, 39, 34, 27, 2370, 1181, 30, 334, 2401, 81, 1945, 7138, 2370, 1181, 1244, 330, 34, 34, 34, 34, 31, 34, 34, 31, 34, 34, 370, 334, 11190, 5578, 308, 426, 27, 203, 27, 14266, 47, 3758, 48749, 45, 203, 41135, 203, 589, 20772, 2262, 284, 442, 225, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 5, 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, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 1, 1, 3, 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 ]
[ 0, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 2, 4, 4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 203, 1070, 894, 1188, 2193, 203, 1070, 1619, 1356, 1188, 13734, 203, 465, 16951, 203, 465, 19571, 203, 465, 2192, 203, 465, 7060, 203, 465, 1671, 203, 465, 16539, 203, 465, 27374, 203, 465, 5237, 30, 2322, 30, 1133, 30, 19493, 203, 1070, 894, 32, 1423, 81, 4313, 1188, 1201, 81, 2958, 81, 1253, 30, 16611, 81, 2958, 203, 1270, 44, 284, 1188, 26313, 203, 7343, 29986, 44, 284, 26313, 280, 1665, 203, 823, 15239, 52, 9402, 26, 984, 711, 284, 3097, 203, 589, 4323, 81, 27958, 2262, 284, 2322, 1114, 4775, 26, 34, 27, 203, 589, 31949, 81, 87, 13202, 4064, 1298, 30, 319, 1132, 30, 1115, 5321, 711, 284, 1596, 44, 291, 442, 1156, 1298, 2740, 1132, 30, 1115, 5321, 27, 284, 2940, 546, 21887, 619, 484, 44, 291, 415, 484, 32, 12864, 863, 19493, 32, 55, 21737, 44, 324, 3636, 291, 442, 1665, 203, 50, 18986, 32, 5961, 2797, 26, 3731, 32, 5134, 610, 313, 4463, 37, 36, 392, 313, 1337, 2080, 544, 4017, 657, 203, 823, 4803, 2861, 10760, 4470, 26, 18986, 32, 7233, 711, 284, 7482, 81, 33518, 280, 225, 36, 34, 27218, 665, 14553, 26, 784, 711, 291, 630, 32, 908, 81, 9240, 280, 16951, 32, 297, 6565, 346, 291, 16951, 32, 5820, 346, 284, 665, 28921, 26, 784, 711, 291, 415, 630, 32, 908, 81, 9240, 44, 324, 16951, 32, 4898, 346, 284, 665, 2179, 81, 1744, 26, 784, 30, 3118, 30, 2723, 47, 2521, 711, 291, 442, 35617, 2524, 26, 35382, 32, 1643, 81, 3034, 26, 1744, 30, 2723, 47, 3248, 490, 284, 665, 4899, 51, 26, 784, 30, 2596, 378, 30, 3118, 711, 291, 630, 32, 83, 81, 10910, 280, 2933, 284, 665, 4899, 52, 26, 784, 30, 2596, 378, 30, 3118, 711, 291, 630, 32, 84, 81, 10910, 280, 2933, 291, 3636, 15239, 52, 9402, 26, 1333, 378, 30, 630, 32, 1643, 81, 1744, 26, 1744, 490, 284, 665, 4465, 26, 784, 30, 2838, 711, 291, 2218, 2933, 44, 324, 1596, 44, 400, 2838, 32, 1684, 346, 400, 442, 324, 2940, 546, 21887, 619, 484, 44, 400, 415, 484, 32, 12864, 863, 19493, 32, 55, 21737, 44, 528, 3636, 284, 665, 1420, 81, 858, 26, 784, 711, 291, 7060, 32, 7295, 26, 7295, 32, 69, 14271, 2418, 30, 630, 32, 4531, 51, 27, 291, 7060, 32, 7295, 26, 7295, 32, 14840, 37399, 35, 30, 630, 32, 4531, 52, 27, 291, 7060, 32, 7295, 26, 7295, 32, 14840, 37399, 36, 30, 7060, 32, 14840, 81, 3479, 27, 291, 7060, 32, 7295, 26, 7295, 32, 14840, 726, 11224, 30, 7060, 32, 1536, 81, 410, 81, 4531, 27, 291, 630, 32, 83, 81, 10910, 280, 3177, 291, 630, 32, 84, 81, 10910, 280, 3177, 291, 12497, 280, 2322, 32, 371, 6320, 346, 291, 2838, 280, 31949, 81, 87, 13202, 26, 27958, 32, 45606, 30, 2107, 14046, 370, 6470, 58, 2418, 370, 596, 26, 6320, 14829, 291, 415, 2838, 44, 324, 630, 32, 1684, 26, 2661, 27, 324, 415, 646, 630, 32, 83, 81, 10910, 44, 400, 1133, 32, 7840, 26, 35, 27, 16189 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 3, 3, 5, 7, 7, 9, 7, 7, 9, 7, 3, 3, 4, 6, 5, 5, 4, 4, 4, 6, 8, 9, 7, 7, 8, 9, 9, 6, 6, 6, 5, 5, 6, 0, 2, 5, 4, 5, 5, 4, 7, 6, 7, 5, 5, 7, 7, 7, 7, 4, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 5, 4, 5, 3, 2, 2, 6, 6, 5, 5, 6, 6, 3, 3, 4, 5, 6, 5, 4, 4, 8, 9, 9, 9, 7, 7, 9, 10, 10, 9, 5, 5, 8, 9, 8, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 8, 8, 6, 6, 6, 10, 11, 10, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 5, 4, 4, 6, 9, 8, 11, 10, 11, 11, 11, 10, 11, 10, 10, 11, 12, 10, 3, 3, 4, 5, 5, 6, 5, 5, 6, 5, 5, 5, 4, 4, 8, 9, 9, 9, 7, 7, 3, 3, 4, 5, 5, 6, 5, 5, 6, 5, 5, 5, 4, 4, 8, 9, 9, 9, 7, 7, 5, 5, 6, 8, 8, 8, 9, 9, 8, 8, 10, 11, 11, 11, 10, 11, 10, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 6, 6, 6, 6, 8, 8, 8, 12, 13, 12, 9, 9, 8, 8, 9, 11, 10, 10, 9, 9, 9, 11, 13, 14, 12, 12, 13, 14, 14, 11, 11, 11, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 8, 5, 5, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 8, 5, 5, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 5, 5, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 10, 10, 8, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 7, 7, 9, 10, 10, 9, 5, 5, 7, 7, 9, 9, 9, 9, 11, 10, 11, 9, 9, 12, 12, 10, 12, 12, 12, 10, 12, 13, 12, 5, 5, 6, 6, 6, 6, 10, 11, 10, 11, 10, 7, 7, 8, 9, 10, 11, 11, 11, 8, 8, 8, 12, 13, 12, 13, 12, 5 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 10, 10, 10, 10, 10, 10, 0, 11, 11, 1, 2, 2, 2, 11, 11, 0, 0, 0, 0, 11, 11, 0, 0, 0, 12, 12, 12, 12, 0, 12, 3, 3, 3, 3, 3, 0, 0, 0, 13, 13, 1, 1, 2, 1, 2, 13, 13, 0, 14, 14, 1, 1, 2, 14, 14, 0, 2, 1, 1, 1, 0, 15, 15, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 15, 15, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 0, 1, 1, 3, 3, 3, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 3, 3, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 16, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 3, 3, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 5, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 5, 0, 2, 2, 2, 0, 0, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 6, 2, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 3, 0, 1, 1, 3, 3, 3, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 4, 4, 7, 1, 1, 2, 1, 2, 7, 7, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 3, 1, 1, 2, 3, 1, 1, 1, 4, 4, 8, 8, 8, 8, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 4 ]
[ 9592, 203, 21, 50, 1367, 44, 11298, 2352, 2214, 438, 1591, 4942, 7763, 372, 4483, 3082, 2698, 8825, 1991, 1256, 31, 2187, 443, 1300, 32, 2607, 2030, 438, 5420, 12285, 43139, 30, 461, 1346, 3500, 7896, 457, 6003, 372, 4865, 6716, 2330, 2607, 30185, 354, 36, 32, 34, 32, 484, 32, 89, 32, 15759, 81, 24768, 30, 24289, 42464, 203, 21, 50, 5766, 44, 664, 5830, 225, 35, 44, 886, 11298, 2352, 2214, 1098, 1487, 1591, 2698, 1980, 4122, 544, 2698, 443, 9468, 30, 291, 461, 1596, 372, 5313, 1169, 3829, 25, 786, 372, 322, 537, 1300, 32, 291, 886, 11298, 2352, 2214, 14274, 1600, 461, 443, 25316, 81, 1959, 33, 4890, 291, 810, 9215, 4467, 32, 1670, 4335, 312, 25316, 81, 1959, 461, 600, 3879, 2530, 291, 322, 2432, 1600, 30, 322, 25316, 81, 1959, 1098, 526, 16825, 23840, 32, 664, 5830, 225, 36, 44, 1156, 1664, 16369, 432, 322, 443, 2298, 1289, 1604, 4209, 9283, 2784, 630, 261, 203, 21, 50, 2970, 44, 1913, 555, 1499, 32, 2958, 32, 1088, 33, 1902, 33, 348, 1069, 33, 24945, 31, 34, 36, 38, 43, 33, 203, 21, 48410, 1531, 44, 4865, 225, 36, 32, 41, 30, 971, 2375, 36, 32, 39, 32, 36, 203, 21, 1791, 1245, 44, 284, 1503, 225, 35, 32, 34, 32, 35, 30, 225, 34, 43, 16549, 32, 225, 36, 34, 35, 35, 30, 2815, 1503, 284, 1503, 225, 35, 32, 34, 32, 36, 30, 225, 35, 40, 25156, 32, 225, 36, 34, 35, 36, 30, 793, 3619, 959, 11143, 372, 26094, 2698, 1339, 284, 1503, 225, 35, 32, 34, 32, 37, 30, 225, 34, 42, 8359, 32, 225, 36, 34, 35, 36, 30, 645, 5344, 43139, 1394, 5392, 1026, 5630, 1934, 2352, 6692, 346, 4442, 3640, 284, 1503, 225, 35, 32, 34, 32, 38, 30, 225, 37, 35, 10709, 32, 225, 36, 34, 35, 37, 30, 4835, 5253, 1503, 30, 7378, 2267, 31, 2679, 6213, 415, 646, 3272, 810, 12285, 43139, 284, 1503, 225, 35, 32, 34, 32, 39, 30, 225, 34, 38, 25156, 32, 225, 36, 34, 35, 38, 30, 1188, 3619, 959, 11143, 328, 8007, 6491, 29282, 261, 203, 433, 1281, 511, 3287, 4240, 16623, 203, 21, 3287, 1340, 1717, 803, 44, 17996, 22231, 5197, 32, 978, 203, 1070, 1156, 9666, 505, 1188, 623, 81, 9849, 203, 1070, 767, 32, 108, 295, 12588, 32, 2958, 32, 2602, 1188, 24289, 42464, 203, 1070, 3619, 5141, 2352, 2214, 1188, 11298, 2352, 2214, 203, 823, 2698, 1339, 36, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 5632, 47, 2521, 291, 630, 32, 34426, 47, 2521, 284, 665, 739, 32026, 26, 784, 30, 786, 711, 291, 630, 32, 5632, 47, 853, 284, 665, 1459, 36, 26, 784, 711, 291, 1459, 440, 5632, 558, 16851, 784, 32, 5632, 32672, 34426, 16851, 784, 32, 34426, 27, 203, 325, 1156, 426, 505, 11490, 505, 1831, 18018, 284, 588, 1996, 2330, 225, 36, 32, 34, 6213, 3964, 284, 35505, 81, 965, 347, 14711, 44, 11115, 44, 34076, 43159, 35, 36, 41, 32, 34, 32, 34, 32, 35, 44 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7680, 88, 32, 2946, 32, 1163, 1188, 12020, 6899, 10467, 7167, 203, 1070, 7680, 88, 32, 2946, 32, 2816, 1188, 10748, 203, 1070, 7680, 88, 32, 2946, 32, 23936, 1188, 394, 10327, 203, 823, 394, 3413, 26, 2101, 711, 284, 665, 2926, 81, 1664, 26, 784, 711, 291, 630, 1114, 84, 10540, 81, 452, 81, 6174, 280, 225, 34, 291, 630, 1114, 2135, 81, 5691, 81, 10727, 280, 225, 34, 291, 630, 32, 11653, 81, 4013, 81, 1555, 3251, 81, 3926, 280, 1665, 291, 630, 32, 42820, 81, 1567, 81, 14458, 280, 739, 346, 291, 630, 32, 2135, 81, 42820, 81, 5691, 81, 4640, 81, 10727, 280, 225, 34, 291, 630, 32, 42820, 81, 1163, 280, 630, 32, 8676, 32, 1163, 81, 10075, 32, 2416, 81, 1163, 36, 26, 324, 1359, 81, 2285, 1057, 42820, 370, 324, 1914, 47, 784, 1114, 371, 81, 20251, 81, 3550, 463, 42820, 1425, 324, 4169, 81, 426, 1057, 42820, 683, 284, 665, 2926, 81, 1366, 26, 784, 30, 1115, 5321, 711, 291, 630, 1114, 3317, 81, 4640, 81, 14458, 346, 291, 436, 1692, 328, 630, 32, 42820, 81, 1163, 710, 4534, 81, 19991, 81, 5057, 12132, 324, 630, 32, 669, 81, 2816, 81, 1567, 81, 4531, 26, 1567, 30, 630, 32, 4534, 81, 19991, 27, 284, 665, 2926, 81, 4048, 26, 784, 30, 1115, 5321, 711, 291, 630, 1114, 2546, 81, 4640, 81, 14458, 346, 291, 630, 32, 4534, 81, 19991, 81, 14458, 280, 739, 346, 284, 665, 617, 3317, 81, 4640, 81, 14458, 26, 784, 711, 291, 436, 3578, 328, 630, 32, 8676, 32, 1586, 21073, 32, 3028, 81, 30412, 26, 400, 630, 32, 42820, 81, 1163, 710, 42820, 81, 5691, 81, 4640, 81, 2142, 37886, 324, 630, 32, 8676, 32, 4640, 81, 4627, 32, 669, 81, 4640, 81, 4531, 26, 400, 3578, 81, 426, 47, 4640, 32, 426, 30, 400, 3309, 47, 784, 1114, 42820, 81, 5691, 81, 4640, 81, 4531, 27, 291, 436, 3578, 328, 630, 32, 8676, 32, 1586, 21073, 32, 3028, 81, 30412, 26, 400, 630, 32, 42820, 81, 1163, 710, 42820, 81, 4640, 81, 2142, 37886, 324, 630, 32, 8676, 32, 4640, 81, 4627, 32, 669, 81, 4640, 81, 4531, 26, 400, 3578, 81, 426, 47, 4640, 32, 426, 30, 400, 3309, 47, 784, 32, 42820, 27, 291, 436, 3578, 328, 630, 32, 8676, 32, 1586, 21073, 32, 3028, 81, 30412, 26, 400, 630, 32, 42820, 81, 1163, 710, 2003, 404, 81, 42820, 81, 4640, 81, 2142, 37886, 324, 630, 32, 8676, 32, 4640, 81, 4627, 32, 669, 81, 4640, 81, 4531, 26, 400, 3578, 81, 426, 47, 4640, 32, 426, 30, 400, 3309, 47, 784, 32, 2003, 404, 81, 42820, 27, 284, 665, 617, 2546, 81, 4640, 81, 14458, 26, 784, 711, 291, 436, 3578, 328, 630, 32, 8676, 32, 1586, 21073, 32, 3028, 81, 30412, 26, 400, 630, 32, 42820, 81, 1163, 710, 42820, 81, 5691, 81, 4640, 81, 2142, 37886, 324, 630, 32, 8676, 32, 4640, 81, 4627, 32, 2546, 81, 4640, 81, 4531, 26, 400, 3578, 81, 426, 47, 4640, 32, 426, 30, 400, 3309 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 10, 11, 9, 10, 10, 10, 8, 9, 9, 9, 9, 8, 8, 8, 10, 10, 9, 11, 11, 8, 8, 9, 12, 11, 12, 12, 12, 12, 12, 11, 13, 13, 8, 8, 10, 10, 9, 11, 11, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 4, 4, 5, 5, 5, 7, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 5, 9, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 9, 10, 11, 11, 11, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 9, 10, 8, 9, 9, 7, 8, 8, 8, 7, 7, 7, 9, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 11, 12, 10, 11, 11, 11, 9, 10, 10, 10, 10, 10, 9, 9, 9, 11, 11, 10, 12, 11, 12, 9, 9, 9, 10, 12, 11, 12, 12, 12, 12, 12, 12, 12, 9, 4, 4, 5, 5, 5, 9, 10, 8, 9, 9, 7, 8, 8, 8, 7, 7, 7, 9, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 5, 5, 11, 12, 10, 11, 11, 11, 9, 10, 10, 10, 10, 10, 9, 9, 9, 11, 11, 10, 12, 11, 12, 9, 9, 9, 10, 12, 11, 12, 9, 4, 4, 5, 5, 5, 9, 10, 8, 9, 9, 7, 8, 8, 8, 7, 7, 7, 9, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 11, 12, 10, 11, 11, 11, 9, 10, 10, 10, 10, 10, 9, 9, 9, 11, 11, 10, 12, 11, 12, 9, 9, 9, 10, 12, 11, 12, 12, 12, 12, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 9, 10, 8, 9, 9, 7, 8, 8, 8, 7, 7, 7, 9, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 11, 12, 10, 11, 11, 11, 9, 10, 10, 10, 10, 10, 9, 9, 9, 11, 11, 10, 12, 11, 12, 9, 9, 9 ]
[ 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 5, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 0, 2, 2, 2, 3, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 3, 0, 2, 2, 1, 4, 4, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 3, 0, 2, 2, 2, 2, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1 ]
[ 465, 5237, 203, 465, 2322, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 2322, 32, 983, 32, 2524, 463, 19441, 370, 330, 1356, 2847, 203, 3731, 32, 983, 32, 1689, 26, 500, 32, 983, 32, 21379, 14728, 16479, 2847, 203, 4530, 1057, 34, 32, 34, 35, 25, 203, 37381, 1057, 1045, 21581, 17975, 25, 203, 9081, 280, 2107, 26275, 32, 407, 32, 4846, 431, 542, 785, 203, 8881, 81, 983, 280, 2107, 32, 8881, 785, 203, 1855, 81, 12420, 280, 5608, 9632, 25, 203, 2590, 81, 1427, 280, 330, 1055, 25, 203, 2250, 280, 330, 1045, 21581, 12217, 25, 203, 11794, 280, 313, 36, 34, 35, 37, 35603, 17975, 20, 203, 1648, 280, 20418, 203, 3779, 280, 20418, 203, 16003, 81, 3972, 280, 6611, 52, 904, 86, 30, 904, 75, 25, 203, 10444, 81, 15719, 280, 2107, 3477, 785, 203, 978, 32725, 81, 1621, 280, 330, 26275, 25, 203, 916, 81, 4661, 81, 983, 280, 2107, 81, 16479, 785, 203, 916, 81, 4661, 280, 330, 6858, 671, 25, 203, 916, 81, 4021, 81, 1311, 280, 330, 1045, 21581, 12217, 25, 203, 916, 81, 1311, 280, 330, 1045, 21581, 12217, 25, 203, 916, 81, 2135, 81, 6368, 81, 3972, 280, 6611, 84, 904, 86, 30, 904, 75, 25, 203, 916, 81, 2991, 81, 1855, 280, 3177, 203, 916, 4756, 81, 15705, 280, 330, 16959, 314, 431, 542, 25, 203, 24189, 81, 17274, 280, 428, 334, 2726, 1055, 370, 330, 19441, 32, 8581, 370, 330, 1045, 21581, 225, 35, 32, 36, 12217, 370, 664, 29480, 30, 330, 12505, 1425, 203, 79, 203, 44223, 386, 81, 1286, 280, 330, 16361, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 6, 7, 5, 6, 5, 7, 7, 5, 7, 7, 0, 5, 4, 5, 3, 4, 3, 7, 6, 7, 5, 6, 5, 7, 7, 0, 3, 2, 4, 4, 4, 4, 4, 0, 3, 2, 4, 4, 4, 4, 0, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 0, 3, 2, 2, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 465, 1133, 203, 1070, 8527, 32, 1262, 32, 2613, 1188, 3320, 203, 823, 3772, 43655, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 42844, 81, 269, 47, 35, 39, 34, 30, 1133, 1744, 47, 37, 40, 34, 34, 30, 23888, 47, 2521, 711, 291, 630, 32, 38023, 81, 269, 280, 42844, 81, 269, 291, 630, 32, 1003, 1744, 280, 1133, 1744, 291, 415, 23888, 438, 1665, 44, 324, 23888, 280, 225, 40, 34, 38, 42, 34, 34, 291, 630, 32, 26923, 280, 629, 26, 26923, 27, 284, 665, 4483, 81, 7895, 81, 452, 81, 678, 26, 784, 30, 7248, 711, 291, 7030, 280, 1605, 291, 436, 1351, 328, 7248, 44, 324, 415, 1351, 32, 297, 279, 1516, 346, 556, 1351, 328, 2107, 43487, 39552, 6470, 12132, 400, 7030, 32, 1689, 26, 1594, 27, 291, 10061, 81, 800, 280, 35617, 2524, 26, 5960, 27, 291, 442, 5461, 101, 81, 329, 8251, 20, 904, 10061, 81, 800, 284, 665, 1395, 81, 864, 81, 349, 13552, 1231, 26, 784, 30, 7248, 30, 1115, 5321, 711, 291, 442, 3177, 284, 665, 20001, 26, 784, 30, 7248, 30, 1115, 5321, 711, 291, 3097, 203, 823, 10421, 43655, 26, 1761, 43655, 711, 284, 665, 1395, 81, 864, 81, 349, 13552, 1231, 26, 784, 30, 7248, 30, 1115, 5321, 711, 291, 1202, 280, 630, 32, 5954, 81, 7895, 81, 452, 81, 678, 26, 7895, 27, 291, 2464, 280, 629, 26, 1003, 32, 1003, 1157, 291, 1133, 1744, 280, 629, 26, 784, 32, 1003, 1744, 27, 291, 42844, 81, 269, 280, 629, 26, 784, 32, 38023, 81, 269, 27, 291, 9340, 81, 1003, 280, 2464, 429, 1133, 1744, 291, 6496, 81, 329, 5212, 280, 428, 3560, 436, 2857, 328, 3320, 32, 371, 26, 678, 30, 11544, 415, 2857, 2377, 9340, 81, 1003, 79, 291, 3320, 32, 470, 26, 678, 30, 6496, 81, 329, 5212, 30, 630, 32, 26923, 27, 291, 415, 2069, 26, 5571, 81, 329, 5212, 27, 2377, 42844, 81, 269, 44, 324, 442, 1133, 1744, 429, 308, 2174, 429, 6496, 81, 329, 5212, 6448, 38023, 81, 269, 1130, 291, 442, 3177, 284, 665, 20001, 26, 784, 30, 7248, 30, 1115, 5321, 711, 291, 1202, 280, 630, 32, 5954, 81, 7895, 81, 452, 81, 678, 26, 7895, 27, 291, 6496, 81, 329, 5212, 280, 3320, 32, 371, 26, 678, 30, 11544, 291, 6496, 81, 329, 5212, 32, 1689, 26, 410, 26, 1003, 32, 1003, 5156, 291, 3320, 32, 470, 26, 678, 30, 6496, 81, 329, 5212, 30, 630, 32, 26923, 27, 203, 823, 10421, 1996, 43655, 26, 2597, 43655, 711, 284, 665, 20001, 26, 784, 30, 7248, 30, 1115, 5321, 711, 291, 645, 273, 633, 2983, 1075, 32, 3378, 1188, 8059, 2791, 291, 2599, 26, 2597, 1996, 43655, 30, 630, 547, 329, 5212, 26, 7895, 30, 1115, 5321, 27, 291, 8059, 2791, 32, 5740, 32, 1297, 26, 324, 7248, 47, 7895, 30, 324, 1984, 47, 5321, 32, 371, 463, 965, 370, 12304, 324, 1326, 81, 1959, 47, 5321, 32, 371, 463, 1357, 81, 1959, 370, 9142, 291, 829 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 6, 5, 6, 6, 6, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 6, 6, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 7, 10, 11, 11, 11, 10, 8, 8, 9, 9, 12, 10, 10, 12, 7, 7, 11, 12, 11, 12, 11, 4, 4, 7, 7, 6, 6, 9, 8, 9, 8, 4, 4, 5, 8, 8, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 5, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 11, 10, 11, 10, 4, 4, 7, 6, 6, 8, 10, 9, 10, 10, 8, 4, 4, 7, 7, 6, 6, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 7, 6, 6, 7, 7, 8, 4, 4, 7, 7, 7, 6, 6, 8, 7, 8, 8, 8, 10, 11, 10, 11, 10, 10, 7, 8, 9, 9, 10, 10, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 8, 8, 7, 7, 8, 9, 7, 4, 4, 5, 8, 9, 9, 9, 9, 8, 6, 6, 7, 7, 5, 5, 5, 7, 9, 8, 8, 11, 10, 10, 12, 12, 12, 11, 13, 13, 13, 11, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 8, 9, 8, 8, 4, 4, 8, 8, 8, 7, 8, 7, 9, 9, 12, 11, 12, 11, 4, 4, 7, 8, 7, 8, 7, 7, 8, 8, 8, 7, 7, 8, 9, 7, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 5, 7, 7, 7, 6, 7, 5, 5, 7, 4, 4, 9, 10, 10, 10, 9, 9, 9, 8, 8, 7, 8, 7, 7, 9, 7, 4, 4, 9, 8, 9, 7, 8, 7, 7, 7, 8, 9, 7, 7, 7, 8, 11, 10, 11, 10, 12, 12, 10, 7, 7, 9, 9, 8, 11, 10, 11, 10, 12, 12, 12, 12, 10, 7, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 2, 2, 2, 0, 5, 2, 2, 2, 2, 2, 2, 7, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 4, 4, 3, 2, 1, 2, 2, 2, 2, 1, 2, 3, 3, 0, 4, 4, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 2, 1, 4, 4, 0, 0, 0, 1, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 2, 1, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 7, 7, 7, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 8, 4, 4, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 2, 1, 0, 5, 5, 1, 1, 2, 1, 1, 2, 5, 5, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 5, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1 ]
[ 465, 16951, 203, 465, 5237, 203, 465, 1133, 203, 1270, 44, 284, 1188, 31074, 203, 7343, 29986, 44, 284, 31074, 280, 1665, 203, 505, 464, 505, 280, 3037, 6421, 1446, 203, 11215, 81, 1617, 81, 426, 280, 3778, 1003, 283, 31, 1617, 5844, 203, 1536, 81, 2171, 280, 225, 35, 34, 34, 34, 34, 34, 34, 203, 1536, 81, 8101, 280, 225, 37, 203, 325, 5237, 32, 5134, 610, 313, 4463, 37, 36, 563, 284, 1244, 81, 7212, 280, 1133, 32, 9100, 203, 1824, 44, 284, 1244, 81, 7212, 280, 1133, 32, 1003, 203, 2387, 280, 1524, 203, 589, 8267, 2176, 283, 30, 617, 7212, 711, 284, 18147, 5522, 27, 101, 284, 617, 102, 34, 280, 617, 7212, 346, 284, 436, 617, 91, 328, 617, 283, 44, 291, 18147, 6404, 27, 101, 284, 617, 102, 35, 280, 617, 7212, 346, 284, 442, 617, 102, 35, 429, 617, 102, 34, 203, 2993, 203, 589, 316, 9378, 26, 1617, 30, 10525, 711, 284, 442, 1561, 32, 3227, 5528, 96, 392, 2706, 96, 20, 474, 313, 11570, 9378, 27, 203, 589, 617, 2387, 81, 1298, 26, 5522, 30, 3420, 711, 284, 665, 8267, 2176, 283, 30, 617, 7212, 30, 617, 1298, 47, 1298, 711, 291, 4705, 346, 291, 617, 102, 34, 280, 617, 7212, 346, 291, 436, 617, 91, 328, 617, 283, 44, 324, 617, 1298, 346, 291, 617, 102, 35, 280, 617, 7212, 346, 291, 442, 617, 102, 35, 429, 617, 102, 34, 284, 442, 8267, 203, 823, 16332, 44, 284, 665, 1156, 1664, 3207, 784, 30, 16684, 347, 4617, 392, 4705, 347, 4617, 392, 8759, 47, 1536, 81, 7212, 711, 291, 630, 32, 7212, 280, 8759, 291, 8752, 280, 2149, 291, 415, 6937, 26, 6404, 30, 1695, 800, 711, 324, 16684, 280, 316, 9378, 26, 6404, 30, 225, 42, 27, 324, 415, 6937, 26, 5522, 30, 1695, 800, 711, 400, 4705, 280, 316, 9378, 26, 5522, 30, 225, 38, 27, 400, 1561, 280, 3079, 904, 5053, 6404, 950, 16684, 30, 330, 5522, 950, 4705, 111, 324, 4348, 19326, 26, 5522, 30, 11477, 1851, 505, 7831, 400, 1561, 280, 3079, 904, 5053, 6404, 950, 16684, 30, 330, 5522, 950, 7610, 5522, 346, 6040, 400, 8752, 26033, 5522, 785, 280, 4705, 324, 813, 44, 400, 3636, 10091, 440, 5522, 438, 25209, 312, 802, 12356, 20695, 657, 324, 630, 32, 1617, 280, 1561, 4288, 1340, 280, 8329, 26, 1617, 30, 11638, 81, 1617, 81, 426, 30, 313, 2493, 657, 324, 2299, 1340, 328, 27311, 1026, 8752, 324, 630, 32, 3369, 280, 8752, 1365, 3369, 1446, 291, 4348, 19326, 26, 6404, 30, 11477, 1851, 505, 7831, 324, 630, 32, 1617, 280, 1665, 324, 415, 6937, 26, 5522, 30, 1695, 800, 711, 400, 617, 5522, 280, 4705, 400, 665, 4705, 2262, 528, 2299, 617, 5522, 328, 27311, 1026, 8752, 324, 4348, 646, 19326, 26, 5522, 30, 11477, 1851, 505, 7831, 400, 3636, 10091, 440, 5522, 438, 25209, 312, 802, 12356, 20695, 657, 324, 630, 32, 3369, 280, 617, 2387, 81, 1298, 26, 5522, 30, 16684, 27, 291, 813, 44, 324, 3636, 10091, 440, 6404, 438, 25209, 312, 802 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 2, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 0, 1, 1, 3, 4, 2, 2, 4, 4, 4, 4, 1, 1, 5, 5, 4, 4, 5, 6, 1, 2, 2, 2, 2, 6, 6, 5, 5, 6, 7, 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, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 6, 5, 8, 7, 5, 9, 8, 6, 6, 9, 8, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 5, 4, 4, 5, 4, 4, 6, 5, 6, 4, 3, 3, 7, 4, 4, 7, 7, 6, 6, 8, 8, 4, 4, 5, 6, 5, 5, 6, 5, 5, 5, 9, 9, 4, 4, 7, 7, 6, 6, 8, 8, 4, 4, 5, 7, 7, 6, 6, 7, 7, 2, 2, 3, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 7, 7, 4, 5, 7, 7, 4, 5, 6, 6, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 6, 6, 4, 4, 5, 7, 8, 7, 7, 8, 7, 5, 5, 8, 8, 10, 10, 11, 10, 10, 11, 10, 6, 6, 7, 9, 10, 9, 9, 10, 9, 7, 7, 10, 10, 12, 12, 13, 12, 12, 13, 12, 8, 8, 10, 10, 11, 11, 15, 15, 13, 12, 12, 15, 15, 13, 12, 7, 7, 8, 10, 11, 10, 10, 12, 12, 12, 8, 8, 11, 11, 12, 12, 16, 16, 14, 13, 13, 16, 16, 14, 16, 16, 16, 9, 9, 12, 14, 14, 11, 11, 7, 7, 8, 8, 8, 10, 12, 14, 14, 14, 14, 14, 14, 14, 14, 6, 6, 9, 10, 8, 8, 6, 6, 8, 8, 10, 11, 10, 10, 11, 11, 11, 11, 10, 10, 12, 12, 6, 6, 7, 7, 7, 9, 7, 6, 6, 9, 10, 8, 8, 9, 11, 11, 5, 5, 6, 8, 9, 8, 8, 10, 10, 10, 6, 6, 10, 11, 9, 9, 7, 7, 8, 10, 11, 10, 10, 11, 10, 8, 8, 12, 11, 11, 9, 9, 10, 11, 10, 10, 12, 13, 12, 12, 14, 12, 8, 8, 9, 10, 12, 13, 12, 12, 14, 14, 14, 9, 9, 11, 13, 15, 15, 15, 15, 15, 15, 15, 15, 7, 7, 10, 11, 9, 9, 11, 11, 11, 11, 12, 11, 11, 11, 5, 5, 6, 6, 6, 8, 10, 12, 12, 12, 12, 12 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 8, 8, 0, 2, 1, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 2, 2, 8, 4, 4, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 10, 10, 1, 2, 1, 2, 2, 2, 10, 10, 0, 0, 2, 1, 0, 2, 1, 0, 2, 3, 3, 1, 2, 1, 0, 11, 11, 1, 1, 1, 2, 1, 2, 2, 2, 11, 11, 0, 2, 1, 2, 2, 3, 2, 2, 0, 5, 2, 2, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 2, 1, 2, 2, 3, 2, 2, 2, 0, 1, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 4, 0, 0, 1, 1, 2, 2, 4, 4, 1, 0, 12, 12, 12, 12, 12, 0, 1, 1, 1, 2, 2, 3, 1, 2, 2, 5, 1, 2, 2, 7, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 4, 4, 2, 1, 1, 1, 1, 3, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 3, 1, 3, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 3, 2, 1, 1, 4, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 3, 1, 1, 2, 3, 3, 0, 1, 2, 0, 0, 1, 1, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 0, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 2, 3, 3, 4, 4, 4, 1, 4, 3, 3, 0, 2, 0, 0, 2, 1, 2, 2, 2, 4, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 3, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 0, 0, 0, 3, 3, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1 ]
[ 465, 5237, 619, 309, 203, 1070, 11708, 3665, 1188, 3185, 1934, 7331, 203, 1070, 11708, 12200, 83, 1188, 3185, 12200, 83, 203, 589, 36447, 1212, 26, 1251, 711, 284, 415, 646, 1541, 556, 646, 308, 1657, 26, 1251, 27, 610, 225, 36, 711, 291, 442, 1665, 284, 813, 44, 291, 442, 1541, 225, 203, 589, 622, 19149, 5909, 26, 464, 16197, 30, 314, 47189, 30, 34508, 711, 284, 9215, 5909, 280, 5436, 32, 1070, 3494, 26, 34508, 27, 284, 436, 3964, 328, 26719, 44, 291, 9215, 47189, 779, 280, 1169, 16197, 32, 371, 26, 3287, 27, 291, 9215, 5909, 383, 2272, 5197, 280, 1605, 291, 415, 646, 308, 19807, 47189, 779, 610, 1665, 711, 324, 436, 6613, 779, 328, 9215, 47189, 779, 44, 400, 1541, 280, 804, 47189, 32, 371, 26, 7508, 779, 27, 400, 5063, 1212, 280, 36447, 1212, 26, 1251, 27, 400, 415, 5063, 1212, 44, 528, 9215, 5909, 383, 2272, 5197, 32, 1689, 26, 6008, 1212, 27, 324, 9215, 5909, 77, 3287, 79, 280, 9215, 5909, 383, 2272, 5197, 291, 813, 44, 324, 1459, 313, 1318, 3964, 766, 13042, 3287, 2360, 6945, 3065, 646, 526, 11451, 3107, 284, 442, 9215, 5909, 203, 589, 5359, 1922, 26, 34508, 30, 31692, 6777, 711, 284, 1459, 2430, 14351, 39144, 638, 2872, 2276, 20, 284, 1459, 7185, 2448, 1631, 1159, 372, 4465, 312, 7002, 6791, 1179, 1481, 20, 284, 1188, 1133, 284, 1477, 280, 1133, 32, 1003, 346, 284, 1169, 16197, 280, 3185, 1934, 7331, 26, 34508, 27, 284, 943, 280, 1133, 32, 1003, 346, 284, 1459, 313, 4804, 9318, 26, 416, 31, 1366, 37549, 4215, 20, 284, 1459, 2430, 14351, 39144, 638, 31692, 2276, 20, 284, 1459, 7185, 2448, 1631, 1159, 372, 4465, 312, 7002, 6791, 1179, 1481, 20, 284, 1596, 44, 291, 804, 47189, 30, 8478, 30, 5459, 720, 3350, 13530, 280, 3185, 12200, 83, 26, 31692, 6777, 27, 284, 2940, 45338, 44, 291, 1459, 2706, 96, 2930, 44, 9204, 322, 4870, 392, 31692, 6777, 30, 2296, 31692, 1957, 646, 2307, 328, 4034, 2859, 1492, 4844, 78, 96, 20, 291, 309, 32, 4775, 26, 34, 27, 284, 9215, 5909, 280, 622, 19149, 5909, 26, 464, 16197, 30, 314, 47189, 30, 34508, 27, 284, 1459, 2430, 14351, 12253, 299, 5166, 1149, 3390, 3107, 284, 442, 9215, 5909, 30, 314, 47189, 30, 8478, 30, 5459, 720, 3350, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 2, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 5, 4, 4, 5, 9, 9, 10, 9, 7, 7, 8, 6, 3, 3, 5, 3, 3, 4, 4, 4, 6, 0, 0, 1, 1, 2, 2, 2, 3, 3, 2, 3, 3, 2, 3, 2, 1, 1, 5, 4, 4, 6, 7, 7, 6, 7, 6, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 9, 8, 9, 8, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 4, 4, 5, 6, 9, 9, 9, 8, 8, 7, 5, 5, 7, 8, 7, 7, 8, 8, 7, 7, 7, 10, 10, 13, 12, 13, 12, 13, 13, 12, 8, 8, 11, 10, 10, 12, 12, 13, 12, 8, 8, 9, 10, 9, 9, 9, 14, 14, 14, 14, 13, 14, 13, 14, 14, 13, 6, 6, 10, 9, 10, 9, 8, 8, 9, 9, 9, 9, 5, 5, 6, 6, 6, 8, 10, 10, 10, 11, 9, 8, 11, 10, 10, 10, 10, 10, 2, 2, 3, 4, 0, 1, 1, 2, 2, 3, 2, 3, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 2, 2, 4, 4, 6, 7, 6, 2, 2, 5, 4, 4, 6, 6, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 5, 5, 4, 6, 5, 6, 4, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 3, 8, 7, 8, 7, 8, 8, 8, 7, 6, 6, 8, 8, 8, 9, 9, 8, 3, 3, 4, 4, 4, 4, 6, 9, 8, 8, 8, 8, 8, 8, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 8, 5, 5, 8, 9, 8, 9, 8, 2, 2, 5, 4, 4, 6, 6, 6, 7, 7, 6, 7, 7, 6, 7, 6, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 1, 1, 2, 1, 1, 2, 3, 3, 2, 5, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 1, 1, 1, 5, 5, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 4, 0, 1, 1, 1, 0, 3, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 0, 5, 5, 1, 2, 1, 2, 3, 3, 2, 5, 5, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 6, 1, 1, 3, 0, 1, 2, 3, 1, 2, 4, 4, 7, 1, 1, 1, 1, 1, 2, 4, 4, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 9, 9, 9, 0, 0, 2, 0, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 9, 9, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 5, 1, 4, 4, 11, 1, 1, 1, 1, 1, 1, 1, 4, 4, 12, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 5237, 203, 465, 11685, 225, 203, 465, 1360, 203, 465, 19494, 225, 203, 7781, 280, 2322, 32, 983, 32, 7781, 203, 2452, 2304, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 26, 16055, 3667, 761, 36762, 330, 2452, 2304, 683, 203, 325, 2322, 32, 983, 32, 19573, 49149, 26, 2452, 2304, 81, 983, 27, 610, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 19573, 49149, 4064, 761, 505, 8531, 284, 11685, 32, 8447, 26, 291, 313, 1318, 41483, 1673, 2304, 2652, 821, 904, 101, 12929, 372, 526, 328, 322, 2432, 3894, 619, 322, 2664, 1673, 2304, 44917, 203, 1824, 44, 284, 1156, 983, 9818, 3215, 26, 34, 30, 1673, 2304, 81, 983, 27, 284, 4011, 81, 2452, 2304, 280, 1360, 32, 944, 81, 1647, 14715, 44618, 81, 2452, 2304, 392, 1665, 30, 1673, 2304, 81, 983, 30, 2726, 370, 2550, 1360, 32, 23194, 81, 20689, 490, 284, 1596, 44, 291, 1156, 13411, 505, 280, 4011, 81, 2452, 2304, 3667, 13411, 505, 284, 2940, 29316, 44, 291, 3097, 284, 1156, 1648, 505, 280, 4011, 81, 2452, 2304, 3667, 1648, 505, 203, 1070, 1673, 2304, 1188, 1673, 30, 5237, 1163, 203, 1270, 44, 284, 1695, 800, 203, 7343, 3270, 924, 44, 284, 1695, 800, 280, 596, 203, 325, 5237, 32, 5134, 610, 330, 4463, 37, 36, 950, 284, 645, 1673, 2304, 32, 2501, 32, 1832, 81, 407, 1188, 1968, 81, 407, 619, 3610, 81, 1832, 81, 407, 284, 443, 1968, 81, 407, 26, 1455, 81, 1832, 81, 407, 711, 291, 665, 34207, 81, 2184, 308, 784, 711, 324, 415, 630, 32, 5248, 81, 15615, 438, 1665, 44, 400, 630, 32, 5248, 81, 15615, 280, 1605, 324, 4348, 6937, 26, 784, 32, 5248, 81, 15615, 30, 1695, 800, 711, 400, 630, 32, 5248, 81, 15615, 280, 630, 32, 5248, 81, 15615, 32, 2998, 26, 500, 32, 983, 12595, 27, 324, 630, 32, 5248, 81, 15615, 32, 3215, 26, 34, 30, 2322, 32, 983, 32, 2524, 26, 3731, 32, 4543, 81, 4254, 30, 313, 6508, 101, 2131, 324, 3610, 81, 1832, 81, 407, 32, 28598, 81, 2184, 26, 784, 27, 284, 645, 1673, 2304, 32, 2501, 1188, 1968, 81, 407, 619, 1968, 81, 407, 81, 1647, 3701, 1968, 81, 407, 81, 1647, 32, 1832, 81, 407, 280, 1968, 81, 407, 203, 1455, 81, 1809, 81, 1163, 81, 2536, 280, 1673, 32, 16218, 32, 1809, 81, 1163, 81, 2536, 203, 589, 2290, 81, 1163, 81, 2536, 26, 784, 711, 284, 2431, 280, 3610, 81, 1809, 81, 1163, 81, 2536, 26, 784, 27, 284, 2664, 81, 2452, 2304, 280, 2322, 32, 983, 32, 2524, 26, 2452, 2304, 81, 983, 30, 330, 2452, 2304, 32, 4687, 683, 284, 415, 2322, 32, 426, 610, 330, 28950, 950, 291, 1256, 81, 3607, 280, 4939, 978, 2452, 2304, 32, 4687, 20, 284, 813, 44, 291, 1256, 81, 3607, 280, 313, 978, 2452, 2304, 32, 4687, 20, 284, 1256, 81, 3607, 280, 2322, 32, 983, 32, 2524, 26, 3731, 32, 4254, 30, 1256, 81, 3607, 27, 284, 415, 2322, 32, 983 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 0, 3, 2, 2, 4, 5, 3, 4, 0, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 8, 7, 8, 8, 4, 6, 6, 6, 0, 1, 1, 5, 6, 4, 5, 5, 4, 5, 5, 5, 5, 4, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 7, 6, 7, 7, 6, 1, 1, 5, 6, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 2, 2, 2, 2, 7, 7, 7, 6, 7, 6, 6, 7, 7, 7, 6, 3, 3, 6, 6, 6, 5, 5, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 7, 7, 7, 8, 8, 8, 7, 7, 10, 8, 8, 9, 10, 10, 10, 8, 3, 3, 4, 4, 4, 8, 8, 7, 7, 9, 9, 9, 8, 9, 9, 4, 4, 5, 5, 5, 5, 3, 3, 6, 6, 5, 5, 7, 7, 7, 6, 7, 7, 0, 1, 1, 3, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 4, 1, 2, 2, 3, 2, 2, 2, 6, 5, 5, 0, 1, 1, 3, 4, 2, 2, 4, 4, 4, 4, 1, 1, 3, 5, 4, 5, 4, 5, 5, 5, 3, 3, 6, 6, 4, 4, 5, 5, 5, 5, 2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 5, 6, 6, 5, 7, 6, 5, 5, 7, 9, 10, 10, 10, 8, 8, 7, 7, 7, 11, 12, 12, 12, 10, 10, 7, 7, 8, 10, 12, 11, 12, 12, 12, 10, 10, 11, 10, 8, 8, 12, 13, 13, 13, 11, 11, 14, 15, 15, 15, 13, 14, 13, 15, 14, 15, 15, 13, 6, 6, 10, 11, 11, 11, 9, 10, 9, 10, 9, 9, 12, 13, 11, 12, 11, 13, 12, 13, 13, 13, 11, 11, 13, 13, 13, 6, 6, 10, 10, 10, 10, 9, 10, 10, 10, 9, 10, 9, 2, 2, 3, 5, 4, 5, 3, 3, 6, 6, 4, 4, 5, 5, 5, 5, 2, 2, 6, 6, 6, 6, 5, 6, 6, 6, 4, 4, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 3, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 2, 2, 3, 5, 6, 4, 4, 6, 6, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 3, 3, 4, 4, 4, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 7, 8, 6, 6, 7, 7, 6, 2, 2, 3, 6, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 7, 7, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 7, 7, 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, 7, 4, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 5, 1, 1, 1, 7, 7, 5, 2, 2, 2, 7, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 9, 9, 9, 9, 0, 9, 3, 3, 1, 3, 3, 3, 0, 0, 0, 0, 10, 10, 0, 2, 1, 1, 1, 1, 1, 2, 10, 10, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 4, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 2, 0, 1, 2, 2, 2, 0, 0, 3, 3, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 12, 12, 1, 1, 1, 1, 2, 1, 2, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 4, 0, 2 ]
[ 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 4262, 81, 36, 81, 9941, 81, 14600, 203, 50, 2958, 81, 36, 81, 9941, 81, 14600, 203, 823, 35461, 26, 3378, 32, 1243, 711, 284, 636, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 34, 27, 284, 16331, 280, 4549, 32, 10215, 346, 284, 2596, 81, 770, 280, 4549, 32, 1547, 1176, 346, 284, 443, 11985, 44, 291, 19404, 280, 2726, 426, 370, 27, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 630, 32, 426, 203, 823, 1336, 6989, 26, 3378, 32, 1243, 711, 284, 2575, 81, 11099, 280, 4549, 32, 13343, 26, 14739, 30, 4549, 32, 28781, 30, 5886, 81, 426, 1057, 1831, 81, 468, 23545, 683, 284, 14937, 81, 11099, 280, 4549, 32, 13343, 26, 14739, 30, 4549, 32, 28781, 30, 5886, 81, 426, 1057, 31864, 81, 468, 23545, 370, 291, 11771, 47, 1815, 27, 284, 5808, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 37, 30, 16682, 47, 1162, 35, 30, 330, 42858, 1425, 308, 36, 30, 330, 20504, 21180, 284, 11337, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 34, 30, 16682, 4310, 291, 308, 35, 30, 330, 13758, 1425, 291, 308, 36, 30, 330, 17955, 1425, 291, 308, 37, 30, 330, 5990, 683, 284, 2588, 11771, 47, 1815, 27, 203, 823, 11328, 1006, 1243, 26, 3378, 32, 1243, 711, 284, 636, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 34, 27, 284, 17310, 280, 4549, 32, 20488, 1176, 346, 284, 4250, 280, 4549, 32, 46046, 1176, 26, 1240, 27, 284, 1603, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 30, 16682, 4310, 440, 1197, 392, 313, 1514, 2598, 2113, 2884, 9625, 392, 313, 73, 34623, 14036, 284, 438, 81, 2480, 280, 4549, 32, 39471, 26, 1536, 47, 2700, 27, 284, 2547, 81, 770, 280, 4549, 32, 36172, 346, 284, 14100, 280, 4549, 32, 13343, 26, 14739, 30, 4549, 32, 28781, 27, 284, 1289, 280, 4549, 32, 30400, 26, 10529, 81, 426, 347, 1918, 392, 11771, 47, 1815, 30, 744, 47, 1815, 27, 284, 665, 409, 9002, 81, 14554, 81, 266, 26, 784, 711, 291, 442, 630, 32, 2862, 81, 770, 32, 20834, 15339, 75, 683, 2867, 37, 79, 474, 313, 34, 1182, 20, 203, 823, 11328, 1006, 10144, 1243, 26, 3378, 32, 1243, 711, 284, 2935, 280, 4549, 32, 13343, 26, 6312, 1006, 1243, 30, 4549, 32, 28781, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 2, 3, 3, 3, 3, 3, 3, 3, 1, 2, 2, 3, 5, 4, 5, 3, 2, 2, 5, 5, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 3, 3, 5, 5, 7, 8, 7, 3, 3, 6, 6, 5, 5, 7, 8, 8, 7, 3, 3, 4, 4, 4, 4, 7, 7, 10, 10, 8, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 7, 8, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 7, 6, 6, 7, 8, 6, 6, 8, 8, 7, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 6, 6, 7, 8, 6, 6, 8, 8, 7, 9, 9, 9, 9, 9, 6, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 6, 6, 7, 8, 10, 9, 9, 11, 11, 8, 10, 9, 9, 11, 11, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 6, 7, 8, 8, 10, 9, 9, 11, 11, 8, 8, 10, 9, 9, 11, 11, 8, 8, 10, 9, 9, 11, 11, 8, 8, 6, 7, 8, 6, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 4, 4, 6, 7, 7, 6, 2, 2, 4, 4, 6, 7, 7, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 6, 6, 7, 9, 11, 11, 9, 11, 11, 11, 8, 11, 11, 9, 11, 11, 11, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 9, 9, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 10, 11, 11, 11, 9, 10, 9, 11, 11, 7, 9, 7, 6, 6, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 7, 7, 7, 6, 6, 7, 8, 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 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 3, 3, 3, 3, 0, 0, 1, 2, 2, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 4, 4, 1, 2, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 0, 0, 5, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 0, 0, 5, 1, 1, 1, 1, 2, 1, 1, 7, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 2, 2, 1, 3, 3, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 3, 3, 1, 2, 2, 2, 1, 5, 5, 1, 2, 2, 2, 1, 5, 2, 1, 0, 5, 5, 1, 1, 2, 0, 1, 2, 2, 5, 5, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 3, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 3, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 8, 1, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 1, 2, 0, 1, 2, 2, 6, 6, 0, 0, 0, 2, 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 ]
[ 465, 2322, 203, 589, 2575, 2262, 284, 1188, 5237, 284, 3619, 1902, 81, 2132, 280, 1605, 284, 1604, 81, 858, 81, 2846, 81, 2132, 280, 1605, 284, 2431, 81, 2455, 81, 858, 81, 2846, 81, 753, 280, 1665, 284, 4435, 807, 81, 17341, 280, 11363, 33313, 31, 2132, 25, 284, 19430, 81, 3765, 81, 17341, 280, 11363, 978, 31, 858, 31, 2132, 25, 284, 436, 1638, 328, 5237, 32, 6118, 77, 35, 44, 2786, 291, 415, 646, 2431, 81, 2455, 81, 858, 81, 2846, 81, 753, 461, 1638, 863, 4435, 807, 81, 17341, 461, 1638, 863, 19430, 81, 3765, 81, 17341, 44, 324, 3619, 1902, 81, 2132, 32, 1689, 26, 626, 27, 291, 813, 44, 324, 415, 646, 2431, 81, 2455, 81, 858, 81, 2846, 81, 753, 44, 400, 2431, 81, 2455, 81, 858, 81, 2846, 81, 753, 280, 1638, 324, 813, 44, 400, 1604, 81, 858, 81, 2846, 81, 2132, 32, 1689, 26, 626, 27, 284, 1188, 3619, 1902, 81, 1945, 2536, 284, 1188, 3619, 1902, 81, 1945, 2536, 81, 2593, 81, 8358, 284, 1188, 3619, 1902, 86, 81, 9777, 284, 645, 3619, 1902, 86, 81, 761, 81, 2304, 1188, 617, 14373, 974, 284, 9399, 280, 225, 34, 284, 415, 9399, 44, 291, 5237, 32, 9362, 32, 1821, 463, 10916, 3377, 44, 904, 101, 78, 96, 25, 904, 308, 3731, 32, 6118, 33702, 291, 5237, 32, 9362, 32, 1821, 463, 2778, 436, 3619, 1902, 44, 904, 101, 78, 96, 25, 904, 308, 978, 1902, 81, 2132, 33702, 291, 415, 2431, 81, 2455, 81, 858, 81, 2846, 81, 753, 44, 324, 5237, 32, 9362, 32, 1821, 463, 2778, 436, 894, 8361, 44, 904, 101, 30, 904, 101, 78, 96, 25, 904, 308, 6264, 81, 2455, 81, 858, 81, 2846, 81, 753, 30, 1604, 81, 858, 81, 2846, 81, 2132, 490, 284, 1596, 44, 291, 3488, 280, 3619, 1902, 81, 1945, 2536, 32, 2208, 81, 41842, 2009, 3731, 32, 6118, 77, 34, 3212, 474, 3619, 1902, 81, 2132, 27, 284, 2940, 44, 291, 5237, 32, 8228, 32, 1821, 463, 2019, 1628, 6584, 44, 904, 101, 78, 96, 25, 904, 308, 3731, 32, 6118, 33702, 291, 3636, 284, 3619, 1902, 81, 1945, 2536, 81, 2593, 81, 8358, 32, 9962, 2059, 26, 5983, 32, 625, 27, 3701, 4435, 807, 81, 13217, 8703, 280, 225, 35, 284, 19430, 81, 3765, 81, 13217, 8703, 280, 225, 36, 284, 1596, 44, 291, 415, 2431, 81, 2455, 81, 858, 81, 2846, 81, 753, 44, 324, 894, 81, 2846, 280, 225, 34, 4288, 415, 2431, 81, 2455, 81, 858, 81, 2846, 81, 753, 610, 4435, 807, 81, 17341, 44, 400, 1188, 46624, 400, 894, 81, 2846, 280, 4435, 807, 81, 13217, 8703, 324, 4348, 2431, 81, 2455, 81, 858, 81, 2846, 81, 753, 610, 19430, 81, 3765, 81, 17341, 44, 400, 1188, 13092, 400, 894, 81, 2846, 280, 19430, 81, 3765, 81, 13217, 8703, 324, 813, 44, 400, 3636, 29986, 346, 291, 813, 44, 324, 3636, 29986, 346, 284, 2940, 29986, 44, 291, 415, 2431, 81, 2455, 81, 858, 81, 2846, 81, 753, 44, 324, 5237, 32, 8228, 32, 1821 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 1, 1, 3, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 3, 3, 5, 6, 4, 6, 5, 4, 3, 3, 5, 8, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 9, 9, 9, 6, 6, 7, 7, 8, 8, 8, 8, 5, 5, 5, 10, 10, 10, 9, 10, 9, 10, 9, 5, 5, 6, 6, 6, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 8, 8, 9, 9, 9, 14, 14, 14, 14, 14, 14, 13, 14, 13, 14, 13, 2, 2, 3, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 2, 2, 4, 4, 5, 2, 2, 3, 3, 3, 3, 8, 9, 7, 8, 7, 10, 10, 10, 10, 10, 11, 11, 10, 8, 8, 11, 10, 11, 9, 4, 4, 8, 9, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 11, 11, 10, 8, 8, 10, 10, 10, 10, 9, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 10, 11, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 12, 12, 12, 12, 12, 12, 11, 2, 2, 3, 3, 3, 6, 6, 9, 9, 9, 9, 8, 9, 9, 9, 8, 13, 12, 13, 11, 12, 11, 9, 9, 10, 10, 10, 8, 3, 3, 4, 4, 4, 9, 10, 8, 9, 8, 11, 11, 11, 11, 11, 11, 12, 12, 11, 9, 9, 12, 11, 12, 10, 5, 5, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 5, 7, 6, 7, 5, 2, 2, 5, 5, 5, 5, 4, 4, 5, 2, 2, 5, 5, 5, 5, 5, 4, 4, 5, 2, 2, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 9, 9, 8, 8, 9, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 7, 7, 7, 9, 8, 8, 11, 11, 10, 10, 11, 11, 11, 11, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 8, 8, 8, 10, 9, 9, 12, 12, 11, 11, 12, 12, 12, 12, 12, 7, 7, 8, 8, 8, 10, 12, 5, 5, 6, 6, 6, 8, 10, 3, 3, 4, 4, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 11, 12, 10, 11 ]
[ 0, 0, 0, 1, 1, 2, 1, 1, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 6, 6, 6, 0, 2, 3, 0, 2, 3, 6, 6, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 7, 0, 0, 0, 0, 4, 4, 8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 9, 0, 0, 0, 0, 4, 4, 10, 0, 0, 0, 0, 0, 0, 10, 10, 0, 0, 4, 4, 0, 0, 2, 4, 4, 12, 12, 12, 12, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 4, 4, 13, 13, 13, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 13, 13, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 4, 4, 17, 17, 17, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 0, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 0, 1, 0, 0, 4, 4, 4, 0, 1, 17, 17, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2 ]
[ 1070, 48885, 38, 32, 37571, 1188, 308, 284, 1910, 34871, 4615, 30, 225, 39963, 30, 1910, 44061, 30, 1910, 38474, 30, 1910, 44461, 30, 284, 1910, 39139, 2207, 30, 1910, 1031, 7417, 30, 1910, 2727, 203, 27, 203, 1070, 48885, 38, 32, 30609, 1188, 10701, 203, 1070, 638, 2304, 1188, 438, 81, 359, 21758, 81, 7095, 203, 823, 23768, 917, 4615, 26, 67, 34871, 4615, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 47, 2521, 30, 26513, 1110, 47, 2521, 30, 1344, 4367, 47, 2521, 30, 1115, 5321, 711, 291, 1910, 34871, 4615, 3667, 1664, 3207, 784, 30, 2935, 30, 1115, 5321, 27, 291, 630, 3667, 878, 4367, 280, 1344, 4367, 291, 630, 3667, 1436, 280, 3330, 291, 630, 3667, 1489, 280, 10701, 32, 7021, 291, 630, 3667, 18842, 280, 10701, 32, 8427, 3679, 291, 415, 26513, 1110, 438, 1665, 44, 324, 26513, 1110, 280, 1910, 44061, 346, 291, 630, 32, 470, 44061, 26, 14820, 1110, 27, 291, 630, 32, 42889, 7894, 5770, 26, 2700, 27, 291, 630, 32, 18476, 4629, 26, 784, 32, 3518, 4629, 346, 523, 10701, 32, 2136, 2274, 1669, 11198, 27, 284, 665, 739, 1031, 4367, 26, 784, 30, 7582, 711, 291, 415, 630, 3667, 878, 4367, 863, 7582, 44, 324, 630, 3667, 878, 4367, 280, 7582, 324, 630, 32, 1877, 346, 284, 665, 1344, 4367, 26, 784, 711, 291, 442, 630, 3667, 878, 4367, 284, 665, 2519, 1151, 26, 784, 30, 1692, 711, 291, 1910, 34871, 4615, 32, 2245, 1151, 26, 784, 30, 1692, 27, 291, 630, 32, 13225, 36455, 284, 665, 5171, 8041, 26, 784, 30, 42300, 711, 291, 42300, 32, 470, 16309, 26, 784, 3667, 1489, 27, 291, 42300, 32, 21643, 26, 784, 32, 2186, 1157, 291, 415, 630, 3667, 878, 4367, 44, 324, 7582, 280, 630, 3667, 878, 4367, 291, 813, 44, 324, 7582, 280, 630, 32, 6587, 922, 46120, 26, 39, 30, 225, 39, 30, 429, 39, 30, 429, 39, 27, 291, 415, 10701, 32, 95, 694, 1467, 22865, 1031, 26, 784, 3667, 1436, 711, 324, 3693, 280, 1910, 44461, 346, 324, 3693, 32, 470, 6441, 26, 784, 3667, 1436, 27, 324, 3693, 32, 6616, 2611, 26, 6587, 32, 1644, 1157, 324, 6213, 280, 1910, 1031, 7417, 26, 1427, 27, 324, 6213, 32, 1613, 26, 67, 1031, 7417, 32, 3092, 27, 324, 4550, 280, 1910, 39139, 2207, 346, 324, 4550, 32, 470, 7751, 26, 784, 3667, 18842, 27, 324, 6213, 32, 6077, 2227, 2207, 26, 3972, 27, 324, 42300, 32, 2853, 346, 324, 42300, 32, 7393, 26, 6587, 32, 1393, 3679, 1157, 324, 3693, 32, 3887, 8041, 26, 98, 18725, 27, 324, 42300, 32, 11243, 346, 291, 813, 44, 324, 42300, 32, 3887, 1031, 26, 6587, 30, 630, 3667, 18842, 30, 630, 3667, 1436, 27, 284, 665, 2519, 1175, 26, 784, 30, 1474, 30, 14187, 47, 9071, 32, 8427, 3679, 30, 1963, 47, 9071, 32, 7021, 711, 291, 630, 3667, 18842, 280, 14187, 291, 630, 3667, 1489, 280, 1963, 291, 630, 3667, 1436, 280, 1474, 291, 1910, 34871, 4615, 32, 31339, 26, 784, 30, 1474, 30, 14187, 30, 1963, 27, 291, 1910 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 5, 6, 4, 4, 6, 5, 6, 4, 4, 6, 4, 3, 3, 8, 8, 7, 8, 8, 8, 7, 7, 7, 7, 9, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 7, 8, 6, 6, 7, 8, 8, 4, 4, 5, 7, 6, 6, 5, 5, 5, 9, 8, 8, 10, 10, 4, 4, 7, 8, 8, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 7, 11, 10, 11, 11, 10, 8, 8, 9, 10, 10, 10, 10, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 6, 6, 5, 5, 5, 9, 10, 10, 8, 8, 6, 6, 9, 10, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 8, 7, 8, 8, 7, 8, 7, 7, 7, 4, 4, 7, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 7, 10, 9, 10, 9, 4, 4, 5, 6, 7, 7, 5, 5, 5, 8, 8, 9, 10, 10, 5, 5, 6, 6, 6, 9, 9, 13, 14, 13, 12, 11, 12, 11, 11, 12, 11, 11, 13, 11, 11, 13, 11, 4, 4, 5, 7, 8, 8, 8, 8, 8, 7, 9, 8, 9, 7, 5, 5, 8, 8, 10, 10, 6, 6, 9, 10, 10, 9, 11, 10, 11, 9, 6, 6, 9, 10, 10, 9, 12, 11, 12, 11, 6, 6, 8, 8, 10, 10, 10, 11, 10, 6, 6, 9, 10, 9, 11, 11, 11, 10, 11, 9, 6, 6, 8, 8, 10, 10, 10, 6, 6, 9, 10, 10, 9, 11, 10, 11, 9, 6, 6, 9, 10, 10, 10, 9, 10, 9, 6, 6, 9, 10, 9, 6, 6, 9, 10, 9, 12, 11, 12, 12, 11, 6, 6, 9, 10, 10, 9, 10, 10, 9, 6, 6, 9, 10, 9, 5, 5, 6, 6, 6, 10, 11, 11, 10, 11, 10, 10, 11, 12, 10, 10, 11, 12, 10, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 7, 6, 7, 7, 4, 4, 5, 7, 6, 7, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 8, 8, 7, 8, 7, 8, 7, 7, 7, 7, 7, 7, 7, 4, 4 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 5, 2, 2, 2, 0, 7, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 2, 4, 4, 5, 0, 1, 1, 5, 5, 5, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 3, 3, 0, 2, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 4, 4, 3, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 4, 4, 4, 1, 2, 1, 2, 2, 2, 4, 4, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 4, 4, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 1, 3, 3, 0, 2, 2, 1, 0, 1, 2, 1, 3, 3, 0, 2, 2, 1, 0, 0, 2, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 2, 1, 0, 0, 0, 1, 2, 1, 3, 3, 0, 0, 0, 0, 1, 3, 3, 0, 2, 2, 1, 0, 1, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0, 2, 1, 3, 3, 0, 2, 1, 0, 0, 2, 2, 1, 3, 3, 0, 2, 2, 1, 1, 1, 1, 3, 3, 0, 2, 1, 3, 3, 4, 4, 4, 0, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 5, 1, 2, 1, 2, 2, 2, 2, 5, 0, 2, 2, 2, 2, 2, 7, 0, 2, 2, 2, 5, 5, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4 ]
[ 505, 68, 3746, 779, 505, 280, 3941, 606, 11033, 203, 1070, 37330, 1186, 32, 2852, 32, 1761, 1188, 10285, 203, 1070, 37330, 1186, 1188, 358, 81, 2950, 203, 465, 5237, 30, 25679, 30, 2322, 30, 6436, 203, 3206, 32, 470, 6772, 1175, 26, 1524, 334, 2108, 13264, 436, 312, 10140, 2032, 25238, 5892, 3452, 3312, 203, 2993, 6797, 829, 203, 858, 620, 280, 330, 1347, 1006, 25, 203, 589, 739, 1006, 620, 26, 786, 8063, 334, 3649, 894, 620, 334, 894, 620, 280, 786, 334, 442, 358, 81, 2950, 346, 203, 858, 2976, 280, 4247, 203, 589, 739, 1006, 4542, 26, 786, 8063, 334, 3649, 894, 2976, 334, 894, 2976, 280, 786, 334, 442, 358, 81, 2950, 346, 203, 96, 20713, 280, 225, 35, 203, 589, 739, 12657, 20713, 26, 786, 8063, 334, 3649, 310, 20713, 334, 310, 20713, 280, 629, 26, 786, 829, 334, 442, 358, 81, 2950, 346, 203, 96, 20919, 280, 225, 35, 34, 34, 203, 589, 739, 12657, 20919, 26, 786, 8063, 334, 3649, 310, 20919, 334, 310, 20919, 280, 629, 26, 786, 829, 334, 442, 358, 81, 2950, 346, 203, 487, 96, 720, 974, 280, 330, 487, 2425, 81, 35, 34, 34, 32, 2760, 25, 203, 589, 739, 62, 8044, 720, 974, 26, 786, 8063, 334, 3649, 456, 3359, 720, 974, 334, 456, 3359, 720, 974, 280, 786, 334, 442, 358, 81, 2950, 346, 203, 46526, 280, 313, 2024, 32, 2760, 20, 203, 589, 739, 48036, 26, 786, 8063, 334, 3649, 43857, 334, 43857, 280, 786, 334, 442, 358, 81, 2950, 346, 203, 10771, 280, 330, 26869, 873, 1006, 974, 12783, 25, 203, 589, 739, 12783, 26, 786, 8063, 334, 3649, 15590, 334, 15590, 280, 786, 334, 442, 358, 81, 2950, 346, 203, 2620, 1006, 280, 3177, 203, 589, 739, 4728, 1006, 26, 786, 8063, 334, 3649, 3536, 1006, 334, 3536, 1006, 280, 2933, 334, 442, 358, 81, 2950, 346, 203, 4021, 3198, 280, 3177, 203, 589, 739, 6872, 3198, 26, 786, 8063, 334, 3649, 4504, 3198, 334, 4504, 3198, 280, 2933, 334, 442, 358, 81, 2950, 346, 203, 38974, 280, 225, 34, 203, 589, 739, 21302, 17970, 26, 786, 8063, 334, 3649, 39451, 334, 39451, 1454, 225, 35, 334, 442, 358, 81, 2950, 346, 203, 3206, 32, 3317, 7934, 26, 313, 102, 9318, 313, 681, 12614, 313, 858, 827, 392, 739, 1006, 620, 829, 203, 3206, 32, 3317, 7934, 26, 313, 54, 9318, 313, 5660, 12614, 313, 858, 3362, 392, 739, 1006, 4542, 829, 203, 3206, 32, 3317, 7934, 26, 313, 64, 9318, 313, 13606, 12614, 313, 2171, 432, 11935, 12462, 392, 739, 12657, 20713, 829, 203, 3206, 32, 3317, 7934, 26, 313, 67, 9318, 313, 17439, 12614, 313, 2171, 432, 11792, 328, 1591, 894, 392, 739, 12657, 20919, 829, 203, 3206, 32, 3317, 7934, 26, 313, 53, 9318, 313, 10771, 12614, 313, 10771, 372, 793, 392, 739, 12783, 829, 203, 3206, 32, 3317, 7934, 26, 313, 62, 9318, 313, 487, 96, 720, 12614, 313, 761, 623, 312, 1149, 432, 498, 8044, 101, 392, 739, 62, 8044, 720, 974, 829, 203, 3206, 32, 3317, 7934, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 3, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 2, 2, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 4, 2, 2, 5, 4, 4, 2, 2, 3, 5, 5, 5, 0, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 4, 2, 2, 5, 4, 4, 2, 2, 3, 5, 5, 5, 0, 3, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 4, 2, 2, 5, 4, 4, 6, 6, 6, 2, 2, 3, 5, 5, 5, 0, 3, 3, 2, 2, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 4, 2, 2, 5, 4, 4, 6, 6, 6, 2, 2, 3, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 3, 5, 5, 5, 0, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 4, 4, 2, 2, 3, 5, 5, 5, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 4, 4, 2, 2, 3, 5, 5, 5, 0, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 4, 2, 2, 5, 4, 4, 2, 2, 3, 5, 5, 5, 0, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 4, 2, 2, 5, 4, 4, 2, 2, 3, 5, 5, 5, 0, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 2, 2, 4, 4, 5, 2, 2, 3, 5, 5, 5, 0, 4, 3, 4, 4, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 4, 4, 3, 0, 4, 3, 4, 4, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 4, 4, 3, 0, 4, 3, 4, 4, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 3, 4, 4, 3, 0, 4, 3, 4, 4, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 3, 0, 4, 3, 4, 4, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 4, 3, 0, 4, 3, 4, 4, 3, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 4, 3, 0, 4, 3, 4, 4, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 6, 6, 1, 1, 2, 2, 2, 6, 6, 0, 1, 4, 4, 0, 0, 0, 4, 4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 8, 8, 1, 1, 2, 2, 2, 8, 8, 0, 1, 4, 4, 0, 0, 0, 4, 4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 10, 10, 1, 1, 2, 2, 2, 10, 10, 0, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 12, 12, 1, 1, 2, 2, 2, 12, 12, 0, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 14, 14, 1, 1, 1, 1, 2, 2, 2, 14, 14, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 4, 4, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 16, 16, 1, 2, 2, 2, 16, 16, 0, 4, 4, 0, 0, 4, 4, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 18, 18, 1, 2, 2, 2, 18, 18, 0, 4, 4, 0, 0, 4, 4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 20, 20, 1, 1, 2, 2, 2, 20, 20, 0, 1, 4, 4, 0, 0, 0, 4, 4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 22, 22, 1, 1, 2, 2, 2, 22, 22, 0, 1, 4, 4, 0, 0, 0, 4, 4, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 24, 24, 1, 1, 2, 2, 2, 24, 24, 0, 4, 4, 0, 0, 2, 4, 4, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 7, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 7, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 7, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 7, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 7, 7, 7, 1, 0, 0, 0, 2, 2, 1 ]
[ 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 823, 22153, 81, 1216, 81, 16679, 26, 500, 104, 32, 500, 104, 81, 5566, 711, 284, 617, 426, 280, 330, 20495, 32, 1216, 32, 16679, 25, 284, 617, 6057, 280, 301, 291, 330, 20495, 81, 3631, 950, 3829, 32, 11374, 36, 11374, 463, 20495, 370, 802, 347, 26605, 392, 2129, 347, 35, 2113, 284, 320, 284, 665, 2125, 81, 1978, 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, 2107, 20495, 81, 3631, 2188, 1619, 47, 1819, 27, 291, 736, 280, 736, 461, 736, 77, 34, 79, 556, 2149, 291, 19634, 710, 599, 785, 280, 736, 291, 19634, 710, 1160, 785, 280, 330, 20495, 32, 1216, 32, 16679, 25, 291, 442, 301, 324, 330, 681, 950, 330, 476, 32, 3543, 32, 3734, 32, 2593, 370, 324, 330, 3734, 81, 426, 950, 330, 20495, 32, 11382, 370, 324, 330, 14028, 950, 19634, 30, 291, 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, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 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, 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, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 8, 9, 11, 11, 8, 9, 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, 11, 11, 11, 11, 8, 9, 10, 8, 4, 4, 6, 6, 8, 8, 9, 10, 9, 7, 7, 4, 4, 7, 9, 9, 6, 6, 4, 4, 7, 9, 9, 6, 6, 8, 8, 8, 8, 8, 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, 6, 6, 9, 9, 7, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 2, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 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, 1, 1, 1, 2, 1, 9, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 1, 2, 0, 0, 4, 4, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 6, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 1, 1, 1, 2, 5, 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 ]
[ 465, 15798, 203, 823, 2108, 10226, 16202, 9074, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 6949, 81, 23469, 26, 784, 711, 291, 630, 32, 5299, 26, 34, 106, 34, 30, 225, 34, 74, 34, 27, 291, 630, 32, 5299, 26, 34, 106, 35, 30, 225, 34, 74, 35, 27, 291, 630, 32, 5299, 26, 34, 106, 35, 36, 37, 38, 39, 40, 41, 42, 43, 25870, 30, 225, 34, 74, 35, 36, 37, 38, 39, 40, 41, 42, 43, 25870, 27, 291, 630, 32, 5299, 26, 34, 106, 34, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 34, 106, 35, 34, 30, 225, 35, 40, 27, 291, 630, 32, 5299, 26, 34, 106, 41, 22499, 30, 225, 36, 35, 38, 41, 38, 42, 37, 40, 38, 41, 27, 291, 630, 32, 5299, 26, 34, 106, 41, 20629, 22499, 30, 225, 43, 36, 36, 37, 37, 41, 36, 34, 37, 40, 42, 39, 38, 41, 41, 39, 42, 34, 41, 27, 291, 630, 32, 5299, 3736, 26, 34, 106, 34, 471, 225, 34, 27, 291, 630, 32, 5299, 3736, 26, 34, 106, 35, 34, 471, 429, 35, 40, 27, 291, 630, 32, 5299, 3736, 26, 34, 106, 41, 22499, 471, 429, 36, 35, 38, 41, 38, 42, 37, 40, 38, 41, 27, 291, 630, 32, 5299, 3736, 26, 34, 106, 41, 20629, 22499, 471, 429, 43, 36, 36, 37, 37, 41, 36, 34, 37, 40, 42, 39, 38, 41, 41, 39, 42, 34, 41, 27, 291, 630, 32, 5299, 3736, 34, 106, 34, 30, 225, 34, 27, 291, 630, 32, 5299, 3736, 34, 106, 35, 34, 30, 429, 35, 40, 27, 291, 630, 32, 5299, 3736, 34, 106, 41, 22499, 30, 429, 36, 35, 38, 41, 38, 42, 37, 40, 38, 41, 27, 291, 630, 32, 5299, 3736, 34, 106, 41, 20629, 22499, 30, 429, 43, 36, 36, 37, 37, 41, 36, 34, 37, 40, 42, 39, 38, 41, 41, 39, 42, 34, 41, 27, 284, 665, 894, 81, 6949, 81, 3856, 26, 784, 711, 291, 630, 32, 5299, 26, 34, 106, 42, 34, 34, 34, 34, 34, 34, 34, 30, 225, 36, 35, 38, 41, 38, 42, 37, 40, 38, 42, 27, 291, 630, 32, 5299, 26, 34, 7465, 30, 225, 38, 36, 43, 38, 43, 40, 41, 36, 43, 39, 27, 291, 630, 32, 5299, 3736, 26, 34, 106, 42, 34, 34, 34, 34, 34, 34, 34, 471, 429, 36, 35, 38, 41, 38, 42, 37, 40, 38, 42, 27, 291, 630, 32, 5299, 3736, 26, 34, 7465, 471, 429, 38, 36, 43, 38, 43, 40, 41, 36, 43, 39, 27, 291, 630, 32, 5299, 3736, 34, 106, 42, 34, 34, 34, 34, 34, 34, 34, 30, 429, 36, 35, 38, 41, 38, 42, 37, 40, 38, 42, 27, 291, 630, 32, 5299, 3736, 34, 7465, 30, 429, 38, 36, 43, 38, 43, 40, 41, 36, 43, 39, 27, 291, 630, 32, 5299, 26, 34, 106, 42, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 30, 225, 43, 36, 36, 37 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 8, 8, 7, 7, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 10, 10, 10, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 10, 10, 10, 10, 9, 7, 9, 9, 7, 4, 4, 7, 8, 7, 9, 10, 10, 10, 10, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 10, 10, 10, 10, 10, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 7, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 10, 10, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 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, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 2, 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, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 505, 1427, 1643, 505, 280, 330, 268, 25120, 878, 931, 25, 203, 1070, 31863, 1439, 1188, 319, 203, 1070, 31863, 17245, 81, 5999, 81, 7101, 1188, 319, 203, 1070, 31863, 38860, 1188, 319, 203, 1070, 31863, 2620, 265, 2106, 81, 7101, 1188, 319, 203, 1070, 31863, 2255, 2106, 81, 7101, 1188, 319, 203, 1070, 31863, 30437, 23672, 81, 2255, 2106, 81, 7101, 1188, 319, 203, 1070, 31863, 1586, 566, 81, 7101, 1188, 319, 203, 1070, 31863, 18538, 566, 81, 7101, 1188, 319, 203, 1070, 31863, 10095, 366, 3492, 81, 8366, 81, 7101, 1188, 319, 203, 1070, 31863, 1586, 566, 81, 8366, 81, 7101, 1188, 319, 203, 1070, 31863, 18538, 566, 81, 8366, 81, 7101, 1188, 319, 203, 1070, 31863, 311, 23162, 81, 1586, 566, 81, 7101, 1188, 319, 203, 505, 464, 505, 280, 428, 101, 436, 309, 328, 4921, 346, 415, 646, 309, 32, 15990, 14728, 12357, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 0, 1, 1, 4, 4, 4, 4, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 1, 1, 0, 1, 1, 4, 4, 4, 4, 1, 1, 0, 1, 1, 4, 4, 4, 4, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 1, 1, 0, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 6, 3, 4, 5, 7, 8, 7, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 10, 10, 0, 0, 0, 0, 10, 10, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 11, 11, 0, 12, 12, 0, 0, 0, 0, 0, 0, 12, 12, 0, 13, 13, 0, 0, 0, 0, 0, 0, 13, 13, 0, 14, 14, 0, 0, 0, 0, 0, 0, 0, 14, 14, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 3, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 6733, 4738, 32, 17867, 1188, 3678, 203, 823, 4004, 974, 26, 1243, 711, 284, 617, 4890, 81, 1110, 280, 301, 291, 330, 426, 950, 5053, 678, 950, 330, 426, 370, 330, 681, 950, 330, 466, 8885, 291, 330, 965, 950, 5053, 678, 950, 330, 965, 370, 330, 681, 950, 330, 466, 8885, 291, 330, 297, 81, 5660, 950, 5053, 678, 950, 330, 30841, 370, 330, 681, 950, 330, 2420, 8885, 291, 330, 4642, 950, 5053, 678, 950, 330, 4642, 370, 330, 681, 950, 330, 974, 3289, 8885, 284, 320, 284, 665, 1156, 1664, 3207, 784, 30, 636, 47, 2521, 30, 1984, 47, 2521, 30, 438, 81, 5660, 47, 2521, 30, 4308, 47, 2521, 711, 291, 630, 32, 426, 280, 636, 291, 630, 32, 965, 280, 1984, 291, 630, 32, 297, 81, 5660, 280, 438, 81, 5660, 291, 630, 32, 4642, 280, 4308, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 2, 1, 1, 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, 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, 10, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 2, 1, 1, 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, 1, 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, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 9, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]