Datasets:
anujsahani01
/
StarCoder_tokenized

Dataset card Viewer Files Community
Search is not available for this dataset
input_ids
sequence
attention_mask
sequence
labels
sequence
[ 741, 82, 461, 529, 107, 4363, 2541, 8350, 816, 499, 1417, 31, 6228, 30, 5302, 533, 741, 499, 4296, 30, 5302, 533, 4363, 499, 4296, 30, 5302, 3759, 14761, 16079, 1524, 446, 6867, 280, 1628, 26, 291, 816, 47, 106, 30, 291, 533, 47, 107, 741, 30, 291, 2266, 47, 1172, 30, 291, 1963, 47, 1489, 30, 291, 1861, 47, 1644, 30, 291, 27441, 47, 10939, 30, 291, 11021, 47, 11900, 30, 291, 2926, 47, 2816, 30, 291, 5318, 47, 2521, 30, 291, 1115, 93, 1132, 284, 829, 284, 6867, 1454, 1628, 26, 291, 816, 47, 106, 30, 291, 533, 47, 107, 4363, 30, 291, 2266, 47, 1172, 30, 291, 1963, 47, 1489, 30, 291, 1861, 47, 1644, 30, 291, 27441, 47, 10939, 30, 291, 11021, 47, 11900, 30, 291, 2926, 47, 2816, 30, 291, 5318, 1057, 937, 407, 107, 370, 291, 1115, 93, 1132, 284, 829, 284, 442, 6867, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 540, 888, 26, 106, 30, 2266, 47, 2521, 30, 11021, 47, 2521, 711, 203, 1524, 68, 888, 7565, 32, 8350, 816, 499, 1417, 31, 6228, 30, 5302, 2266, 499, 4296, 30, 5302, 11021, 499, 4296, 30, 5302, 3759, 14761, 16079, 1524, 446, 816, 280, 617, 1270, 81, 978, 6665, 26, 106, 27, 284, 816, 280, 2065, 32, 269, 27977, 81, 35, 86, 26, 106, 27, 284, 706, 280, 428, 291, 1983, 32, 33250, 26, 324, 816, 47, 106, 30, 324, 533, 47, 2356, 32, 5783, 81, 6228, 26, 106, 471, 324, 636, 47, 1172, 30, 324, 11021, 47, 11900, 30, 324, 2926, 1057, 25165, 370, 324, 10029, 47, 2665, 26, 7010, 1057, 928, 31, 2425, 31, 1676, 1425, 291, 829, 284, 1481, 284, 6371, 280, 5436, 26, 291, 5697, 2816, 1057, 12696, 370, 291, 14517, 2816, 1057, 19093, 370, 291, 18910, 47, 2665, 26, 5707, 1174, 1057, 35107, 1425, 291, 816, 5082, 35, 47, 2665, 26, 4501, 29391, 47, 2700, 471, 291, 533, 5082, 35, 47, 2665, 26, 324, 5880, 6020, 34, 32, 42, 39, 30, 225, 35, 614, 324, 2519, 928, 47, 2700, 30, 324, 2519, 3365, 47, 2700, 30, 324, 1288, 265, 29391, 47, 2700, 30, 324, 14177, 1057, 3994, 370, 324, 2747, 47, 34, 32, 34, 30, 324, 2519, 10727, 5919, 47, 2700, 30, 291, 2588, 284, 829, 284, 442, 16079, 26, 605, 47, 605, 30, 6371, 47, 3086, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 11213, 26, 106, 30, 533, 30, 1288, 711, 203, 1524, 8811, 6867, 32, 8350, 816, 499, 1417, 31, 6228, 30, 5302, 533, 499, 1417, 31, 6228, 30, 5302, 1288, 499, 1417, 31, 6228, 30, 5302, 3759, 14761, 16079, 1524, 446, 706, 280, 428, 1704, 32, 8811, 26, 106, 47, 106, 30, 533, 47, 107, 30, 1288, 47, 108, 2177, 284, 442, 16079, 26, 605, 47, 605, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 23310, 36, 86, 26, 106, 30, 533, 30, 2266, 47, 2521, 30, 11021, 47, 2521, 711, 203, 1524, 36, 54, 44247, 32, 8350, 816, 499, 1417, 31, 6228, 30, 5302, 533, 499, 1417, 31, 6228, 30, 5302, 2266, 499, 4296, 30, 5302, 11021, 499, 1897, 30, 5302, 3759, 14761, 16079, 1524, 446, 816, 280, 2065, 32, 269, 27977, 81, 35, 86, 26, 106, 27, 284, 533, 280, 2065, 32, 269, 27977, 81, 35, 86, 26, 107, 27, 284, 706, 280, 428, 1704, 32, 21485, 36, 86, 26, 106, 47, 106, 30, 533, 47, 107, 30, 11021, 47, 11900, 30, 636, 47, 1172, 2177, 284, 442, 16079, 26, 605, 47, 605, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 533, 10727, 3695, 26, 784, 30, 8775, 30, 1650, 47, 35, 711, 203, 1524, 885, 322, 8775, 432, 322, 533, 31, 5082, 12904, 6492, 32, 8350, 786, 499, 629, 36948, 328, 18667, 1650, 499, 629, 30, 5302, 1410, 31, 5082, 1650, 3759, 14761, 16079, 1524, 584, 630, 32, 3086, 710, 38541, 25, 474, 596, 26, 1055, 2177, 710, 10727, 3695, 785, 280, 8775, 291, 442, 630, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 533, 1172, 891, 26, 784, 30, 1334, 30, 1650, 47, 35, 711, 203, 1524, 885, 322, 1334, 432, 322, 2266, 32, 8350, 1334, 499, 629, 3759, 14761, 16079, 1524, 584, 630, 32, 3086, 710, 38541, 25, 474, 596, 26, 1055, 2177, 710, 1311, 2186, 4902, 891, 785, 280, 1334, 291, 442, 630, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 533, 10727, 891, 26, 784, 30, 1334, 30, 1650, 47, 35, 711, 203, 1524, 885, 322, 12904, 2357, 1334, 32, 8350, 1334, 499, 629, 3759, 14761, 16079, 1524, 584, 630, 32, 3086, 710, 38541, 25, 474, 596, 26, 1055, 2177, 710, 10727, 2186, 4902, 891, 785, 280, 1334, 291, 442, 630, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 533, 10727, 9359, 26, 784, 30, 2078, 30, 1650, 47, 35, 711, 203, 1524, 885, 322, 12904, 2078, 32, 8350, 2078, 499, 1417, 31, 6228, 3759, 14761, 16079, 1524, 584, 630, 32, 3086, 710, 38541, 25, 474, 596, 26, 1055, 2177, 710, 10727, 9359, 785, 280, 2078, 291, 442, 630, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 533, 10727, 878, 26, 784, 30, 6492, 30, 1650, 47, 35, 711, 203, 1524, 885, 322, 12904, 6492, 32, 8350 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 741, 82, 461, 529, 107, 4363, 2541, 8350, 816, 499, 1417, 31, 6228, 30, 5302, 533, 741, 499, 4296, 30, 5302, 533, 4363, 499, 4296, 30, 5302, 3759, 14761, 16079, 1524, 446, 6867, 280, 1628, 26, 291, 816, 47, 106, 30, 291, 533, 47, 107, 741, 30, 291, 2266, 47, 1172, 30, 291, 1963, 47, 1489, 30, 291, 1861, 47, 1644, 30, 291, 27441, 47, 10939, 30, 291, 11021, 47, 11900, 30, 291, 2926, 47, 2816, 30, 291, 5318, 47, 2521, 30, 291, 1115, 93, 1132, 284, 829, 284, 6867, 1454, 1628, 26, 291, 816, 47, 106, 30, 291, 533, 47, 107, 4363, 30, 291, 2266, 47, 1172, 30, 291, 1963, 47, 1489, 30, 291, 1861, 47, 1644, 30, 291, 27441, 47, 10939, 30, 291, 11021, 47, 11900, 30, 291, 2926, 47, 2816, 30, 291, 5318, 1057, 937, 407, 107, 370, 291, 1115, 93, 1132, 284, 829, 284, 442, 6867, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 540, 888, 26, 106, 30, 2266, 47, 2521, 30, 11021, 47, 2521, 711, 203, 1524, 68, 888, 7565, 32, 8350, 816, 499, 1417, 31, 6228, 30, 5302, 2266, 499, 4296, 30, 5302, 11021, 499, 4296, 30, 5302, 3759, 14761, 16079, 1524, 446, 816, 280, 617, 1270, 81, 978, 6665, 26, 106, 27, 284, 816, 280, 2065, 32, 269, 27977, 81, 35, 86, 26, 106, 27, 284, 706, 280, 428, 291, 1983, 32, 33250, 26, 324, 816, 47, 106, 30, 324, 533, 47, 2356, 32, 5783, 81, 6228, 26, 106, 471, 324, 636, 47, 1172, 30, 324, 11021, 47, 11900, 30, 324, 2926, 1057, 25165, 370, 324, 10029, 47, 2665, 26, 7010, 1057, 928, 31, 2425, 31, 1676, 1425, 291, 829, 284, 1481, 284, 6371, 280, 5436, 26, 291, 5697, 2816, 1057, 12696, 370, 291, 14517, 2816, 1057, 19093, 370, 291, 18910, 47, 2665, 26, 5707, 1174, 1057, 35107, 1425, 291, 816, 5082, 35, 47, 2665, 26, 4501, 29391, 47, 2700, 471, 291, 533, 5082, 35, 47, 2665, 26, 324, 5880, 6020, 34, 32, 42, 39, 30, 225, 35, 614, 324, 2519, 928, 47, 2700, 30, 324, 2519, 3365, 47, 2700, 30, 324, 1288, 265, 29391, 47, 2700, 30, 324, 14177, 1057, 3994, 370, 324, 2747, 47, 34, 32, 34, 30, 324, 2519, 10727, 5919, 47, 2700, 30, 291, 2588, 284, 829, 284, 442, 16079, 26, 605, 47, 605, 30, 6371, 47, 3086, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 11213, 26, 106, 30, 533, 30, 1288, 711, 203, 1524, 8811, 6867, 32, 8350, 816, 499, 1417, 31, 6228, 30, 5302, 533, 499, 1417, 31, 6228, 30, 5302, 1288, 499, 1417, 31, 6228, 30, 5302, 3759, 14761, 16079, 1524, 446, 706, 280, 428, 1704, 32, 8811, 26, 106, 47, 106, 30, 533, 47, 107, 30, 1288, 47, 108, 2177, 284, 442, 16079, 26, 605, 47, 605, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 23310, 36, 86, 26, 106, 30, 533, 30, 2266, 47, 2521, 30, 11021, 47, 2521, 711, 203, 1524, 36, 54, 44247, 32, 8350, 816, 499, 1417, 31, 6228, 30, 5302, 533, 499, 1417, 31, 6228, 30, 5302, 2266, 499, 4296, 30, 5302, 11021, 499, 1897, 30, 5302, 3759, 14761, 16079, 1524, 446, 816, 280, 2065, 32, 269, 27977, 81, 35, 86, 26, 106, 27, 284, 533, 280, 2065, 32, 269, 27977, 81, 35, 86, 26, 107, 27, 284, 706, 280, 428, 1704, 32, 21485, 36, 86, 26, 106, 47, 106, 30, 533, 47, 107, 30, 11021, 47, 11900, 30, 636, 47, 1172, 2177, 284, 442, 16079, 26, 605, 47, 605, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 533, 10727, 3695, 26, 784, 30, 8775, 30, 1650, 47, 35, 711, 203, 1524, 885, 322, 8775, 432, 322, 533, 31, 5082, 12904, 6492, 32, 8350, 786, 499, 629, 36948, 328, 18667, 1650, 499, 629, 30, 5302, 1410, 31, 5082, 1650, 3759, 14761, 16079, 1524, 584, 630, 32, 3086, 710, 38541, 25, 474, 596, 26, 1055, 2177, 710, 10727, 3695, 785, 280, 8775, 291, 442, 630, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 533, 1172, 891, 26, 784, 30, 1334, 30, 1650, 47, 35, 711, 203, 1524, 885, 322, 1334, 432, 322, 2266, 32, 8350, 1334, 499, 629, 3759, 14761, 16079, 1524, 584, 630, 32, 3086, 710, 38541, 25, 474, 596, 26, 1055, 2177, 710, 1311, 2186, 4902, 891, 785, 280, 1334, 291, 442, 630, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 533, 10727, 891, 26, 784, 30, 1334, 30, 1650, 47, 35, 711, 203, 1524, 885, 322, 12904, 2357, 1334, 32, 8350, 1334, 499, 629, 3759, 14761, 16079, 1524, 584, 630, 32, 3086, 710, 38541, 25, 474, 596, 26, 1055, 2177, 710, 10727, 2186, 4902, 891, 785, 280, 1334, 291, 442, 630, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 533, 10727, 9359, 26, 784, 30, 2078, 30, 1650, 47, 35, 711, 203, 1524, 885, 322, 12904, 2078, 32, 8350, 2078, 499, 1417, 31, 6228, 3759, 14761, 16079, 1524, 584, 630, 32, 3086, 710, 38541, 25, 474, 596, 26, 1055, 2177, 710, 10727, 9359, 785, 280, 2078, 291, 442, 630, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 533, 10727, 878, 26, 784, 30, 6492, 30, 1650, 47, 35, 711, 203, 1524, 885, 322, 12904, 6492, 32, 8350 ]
[ 6492, 499, 1417, 31, 6228, 3759, 14761, 16079, 1524, 584, 630, 32, 3086, 710, 38541, 25, 474, 596, 26, 1055, 2177, 710, 10727, 878, 785, 280, 6492, 291, 442, 630, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 533, 6782, 26, 784, 30, 7461, 30, 3857, 30, 1650, 47, 35, 711, 203, 1524, 885, 533, 5082, 17740, 32, 8350, 7461, 499, 1451, 3857, 499, 1451, 1650, 499, 629, 30, 5302, 3759, 14761, 16079, 1524, 584, 630, 32, 3086, 710, 38541, 25, 474, 596, 26, 1055, 2177, 710, 3585, 785, 280, 428, 741, 30, 3857, 79, 291, 442, 630, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 533, 2632, 1226, 26, 784, 30, 8793, 1226, 30, 1650, 47, 35, 711, 203, 1524, 885, 322, 12904, 7291, 7103, 584, 630, 32, 3086, 710, 38541, 25, 474, 596, 26, 1055, 2177, 710, 2632, 1226, 785, 280, 8793, 1226, 291, 442, 630, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 533, 566, 6758, 26, 784, 30, 310, 19540, 30, 1650, 47, 35, 711, 203, 1524, 885, 322, 1451, 432, 23587, 7103, 584, 630, 32, 3086, 710, 38541, 25, 474, 596, 26, 1055, 2177, 710, 566, 6758, 785, 280, 310, 19540, 291, 442, 630, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2519, 26, 630, 30, 4870, 44, 5648, 77, 466, 79, 280, 1665, 30, 2519, 81, 1204, 44, 1560, 280, 2933, 30, 2267, 81, 1676, 44, 1560, 280, 2933, 30, 11140, 81, 22451, 44, 1560, 280, 2933, 30, 829, 967, 1665, 44, 1524, 3933, 322, 7565, 32, 8350, 4870, 499, 596, 30, 5302, 9875, 6867, 372, 458, 4870, 30, 5878, 561, 1182, 7511, 372, 312, 14016, 803, 32, 2519, 81, 1204, 499, 1560, 30, 5302, 7914, 2552, 372, 6867, 631, 32, 2267, 81, 1676, 499, 1560, 30, 5302, 42731, 2156, 322, 6867, 308, 266, 322, 5427, 547, 11140, 81, 22451, 499, 1560, 30, 5302, 8959, 372, 11140, 415, 996, 4484, 3974, 328, 312, 16807, 32, 1524, 584, 831, 1132, 280, 2149, 291, 415, 11140, 81, 22451, 461, 617, 14268, 81, 22451, 2262, 324, 3619, 32, 1664, 81, 22451, 81, 2816, 346, 324, 6867, 280, 3619, 32, 639, 2499, 291, 813, 44, 324, 6867, 280, 3619, 32, 3399, 324, 415, 4870, 438, 1665, 44, 400, 4870, 280, 19584, 24723, 974, 26, 4254, 1057, 3399, 631, 370, 12809, 1057, 32, 916, 370, 3066, 47, 2700, 547, 426, 324, 831, 1132, 710, 3607, 785, 280, 4870, 324, 831, 1132, 710, 2837, 81, 1676, 785, 280, 2267, 81, 1676, 584, 6867, 26, 784, 30, 2519, 81, 1204, 47, 2245, 81, 1204, 30, 1115, 93, 1132, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4131, 26, 630, 30, 4870, 44, 5648, 77, 466, 79, 280, 1665, 30, 2519, 81, 1204, 44, 1560, 280, 2933, 30, 2267, 81, 1676, 44, 1560, 280, 3177, 30, 1688, 44, 596, 280, 330, 761, 370, 6867, 631, 754, 44, 1560, 280, 2933, 30, 829, 967, 596, 44, 1524, 5126, 322, 7565, 372, 600, 4159, 803, 7103, 584, 415, 4870, 438, 1665, 44, 324, 4870, 280, 19584, 24723, 974, 26, 4254, 1057, 3399, 631, 370, 12809, 1057, 32, 916, 370, 3066, 47, 2700, 547, 426, 291, 588, 12114, 44, 458, 4163, 1330, 1389, 436, 1688, 330, 507, 25, 291, 3619, 32, 3399, 26, 324, 630, 30, 324, 2519, 81, 1204, 47, 2245, 81, 1204, 30, 324, 4870, 47, 3607, 30, 324, 2267, 81, 1676, 47, 2837, 81, 1676, 30, 324, 1688, 81, 681, 47, 2024, 30, 324, 2305, 81, 3399, 631, 754, 47, 3399, 631, 754, 30, 291, 829, 291, 442, 4870, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 1959, 81, 4994, 26, 1959, 711, 203, 1524, 15273, 312, 667, 30, 561, 3217, 312, 802, 688, 10191, 5610, 7780, 2624, 322, 667, 8191, 81, 2268, 526, 6638, 328, 4262, 32, 499, 753, 1411, 44, 312, 4262, 1411, 499, 601, 44, 399, 802, 6693, 22376, 322, 3619, 349, 788, 1411, 8191, 3133, 16298, 44, 313, 1772, 81, 1959, 26, 2232, 81, 626, 1765, 30, 3100, 81, 626, 47, 38, 36, 30, 10970, 81, 626, 1057, 20282, 27059, 1524, 4057, 588, 886, 442, 786, 432, 4622, 2710, 438, 312, 3493, 22520, 30, 619, 322, 1149, 432, 4209, 461, 284, 588, 1149, 432, 10071, 884, 4717, 328, 8111, 1417, 32, 284, 588, 16298, 44, 4622, 2710, 26, 1132, 11414, 2232, 81, 626, 370, 330, 3090, 81, 626, 370, 330, 14146, 81, 626, 2188, 284, 588, 773, 1132, 47, 2521, 30, 16400, 47, 2521, 30, 10071, 4310, 38, 36, 30, 330, 20282, 2847, 284, 2181, 897, 280, 17787, 32, 371, 1132, 897, 26, 1959, 27, 284, 1638, 81, 1055, 47, 34, 284, 2181, 280, 1605, 446, 588, 4417, 322, 2181, 461, 10071, 1417, 4717, 810, 2181, 897, 461, 2290, 963, 284, 588, 1510, 4209, 1401, 1244, 284, 436, 1638, 328, 2181, 897, 32, 1132, 44, 291, 1244, 81, 626, 280, 617, 371, 81, 1536, 81, 626, 26, 1132, 897, 32, 1132, 30, 2181, 897, 32, 10514, 30, 1638, 81, 1055, 27, 291, 415, 1244, 81, 626, 32, 2040, 81, 1536, 44, 324, 2181, 32, 1689, 4912, 101, 6132, 101, 20, 904, 308, 626, 30, 1244, 81, 626, 32, 1536, 81, 853, 490, 291, 813, 44, 324, 2181, 32, 1689, 26, 626, 27, 291, 1638, 81, 1055, 1454, 225, 35, 284, 442, 5461, 101, 7846, 101, 4731, 904, 308, 1959, 3667, 426, 7642, 3003, 4939, 2524, 26, 1132, 490, 49153, 37530, 322, 2412, 3708 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6492, 499, 1417, 31, 6228, 3759, 14761, 16079, 1524, 584, 630, 32, 3086, 710, 38541, 25, 474, 596, 26, 1055, 2177, 710, 10727, 878, 785, 280, 6492, 291, 442, 630, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 533, 6782, 26, 784, 30, 7461, 30, 3857, 30, 1650, 47, 35, 711, 203, 1524, 885, 533, 5082, 17740, 32, 8350, 7461, 499, 1451, 3857, 499, 1451, 1650, 499, 629, 30, 5302, 3759, 14761, 16079, 1524, 584, 630, 32, 3086, 710, 38541, 25, 474, 596, 26, 1055, 2177, 710, 3585, 785, 280, 428, 741, 30, 3857, 79, 291, 442, 630, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 533, 2632, 1226, 26, 784, 30, 8793, 1226, 30, 1650, 47, 35, 711, 203, 1524, 885, 322, 12904, 7291, 7103, 584, 630, 32, 3086, 710, 38541, 25, 474, 596, 26, 1055, 2177, 710, 2632, 1226, 785, 280, 8793, 1226, 291, 442, 630, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 533, 566, 6758, 26, 784, 30, 310, 19540, 30, 1650, 47, 35, 711, 203, 1524, 885, 322, 1451, 432, 23587, 7103, 584, 630, 32, 3086, 710, 38541, 25, 474, 596, 26, 1055, 2177, 710, 566, 6758, 785, 280, 310, 19540, 291, 442, 630, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2519, 26, 630, 30, 4870, 44, 5648, 77, 466, 79, 280, 1665, 30, 2519, 81, 1204, 44, 1560, 280, 2933, 30, 2267, 81, 1676, 44, 1560, 280, 2933, 30, 11140, 81, 22451, 44, 1560, 280, 2933, 30, 829, 967, 1665, 44, 1524, 3933, 322, 7565, 32, 8350, 4870, 499, 596, 30, 5302, 9875, 6867, 372, 458, 4870, 30, 5878, 561, 1182, 7511, 372, 312, 14016, 803, 32, 2519, 81, 1204, 499, 1560, 30, 5302, 7914, 2552, 372, 6867, 631, 32, 2267, 81, 1676, 499, 1560, 30, 5302, 42731, 2156, 322, 6867, 308, 266, 322, 5427, 547, 11140, 81, 22451, 499, 1560, 30, 5302, 8959, 372, 11140, 415, 996, 4484, 3974, 328, 312, 16807, 32, 1524, 584, 831, 1132, 280, 2149, 291, 415, 11140, 81, 22451, 461, 617, 14268, 81, 22451, 2262, 324, 3619, 32, 1664, 81, 22451, 81, 2816, 346, 324, 6867, 280, 3619, 32, 639, 2499, 291, 813, 44, 324, 6867, 280, 3619, 32, 3399, 324, 415, 4870, 438, 1665, 44, 400, 4870, 280, 19584, 24723, 974, 26, 4254, 1057, 3399, 631, 370, 12809, 1057, 32, 916, 370, 3066, 47, 2700, 547, 426, 324, 831, 1132, 710, 3607, 785, 280, 4870, 324, 831, 1132, 710, 2837, 81, 1676, 785, 280, 2267, 81, 1676, 584, 6867, 26, 784, 30, 2519, 81, 1204, 47, 2245, 81, 1204, 30, 1115, 93, 1132, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4131, 26, 630, 30, 4870, 44, 5648, 77, 466, 79, 280, 1665, 30, 2519, 81, 1204, 44, 1560, 280, 2933, 30, 2267, 81, 1676, 44, 1560, 280, 3177, 30, 1688, 44, 596, 280, 330, 761, 370, 6867, 631, 754, 44, 1560, 280, 2933, 30, 829, 967, 596, 44, 1524, 5126, 322, 7565, 372, 600, 4159, 803, 7103, 584, 415, 4870, 438, 1665, 44, 324, 4870, 280, 19584, 24723, 974, 26, 4254, 1057, 3399, 631, 370, 12809, 1057, 32, 916, 370, 3066, 47, 2700, 547, 426, 291, 588, 12114, 44, 458, 4163, 1330, 1389, 436, 1688, 330, 507, 25, 291, 3619, 32, 3399, 26, 324, 630, 30, 324, 2519, 81, 1204, 47, 2245, 81, 1204, 30, 324, 4870, 47, 3607, 30, 324, 2267, 81, 1676, 47, 2837, 81, 1676, 30, 324, 1688, 81, 681, 47, 2024, 30, 324, 2305, 81, 3399, 631, 754, 47, 3399, 631, 754, 30, 291, 829, 291, 442, 4870, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 1959, 81, 4994, 26, 1959, 711, 203, 1524, 15273, 312, 667, 30, 561, 3217, 312, 802, 688, 10191, 5610, 7780, 2624, 322, 667, 8191, 81, 2268, 526, 6638, 328, 4262, 32, 499, 753, 1411, 44, 312, 4262, 1411, 499, 601, 44, 399, 802, 6693, 22376, 322, 3619, 349, 788, 1411, 8191, 3133, 16298, 44, 313, 1772, 81, 1959, 26, 2232, 81, 626, 1765, 30, 3100, 81, 626, 47, 38, 36, 30, 10970, 81, 626, 1057, 20282, 27059, 1524, 4057, 588, 886, 442, 786, 432, 4622, 2710, 438, 312, 3493, 22520, 30, 619, 322, 1149, 432, 4209, 461, 284, 588, 1149, 432, 10071, 884, 4717, 328, 8111, 1417, 32, 284, 588, 16298, 44, 4622, 2710, 26, 1132, 11414, 2232, 81, 626, 370, 330, 3090, 81, 626, 370, 330, 14146, 81, 626, 2188, 284, 588, 773, 1132, 47, 2521, 30, 16400, 47, 2521, 30, 10071, 4310, 38, 36, 30, 330, 20282, 2847, 284, 2181, 897, 280, 17787, 32, 371, 1132, 897, 26, 1959, 27, 284, 1638, 81, 1055, 47, 34, 284, 2181, 280, 1605, 446, 588, 4417, 322, 2181, 461, 10071, 1417, 4717, 810, 2181, 897, 461, 2290, 963, 284, 588, 1510, 4209, 1401, 1244, 284, 436, 1638, 328, 2181, 897, 32, 1132, 44, 291, 1244, 81, 626, 280, 617, 371, 81, 1536, 81, 626, 26, 1132, 897, 32, 1132, 30, 2181, 897, 32, 10514, 30, 1638, 81, 1055, 27, 291, 415, 1244, 81, 626, 32, 2040, 81, 1536, 44, 324, 2181, 32, 1689, 4912, 101, 6132, 101, 20, 904, 308, 626, 30, 1244, 81, 626, 32, 1536, 81, 853, 490, 291, 813, 44, 324, 2181, 32, 1689, 26, 626, 27, 291, 1638, 81, 1055, 1454, 225, 35, 284, 442, 5461, 101, 7846, 101, 4731, 904, 308, 1959, 3667, 426, 7642, 3003, 4939, 2524, 26, 1132, 490, 49153, 37530, 322, 2412, 3708 ]
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
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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
[ 2841, 372, 2091, 30, 458, 7410, 9175, 461, 5966, 299, 2625, 1340, 3352, 1829, 8792, 32, 1348, 323, 2371, 25389, 515, 438, 4122, 12683, 322, 529, 110, 5856, 308, 7413, 27, 4134, 2431, 328, 15111, 2124, 506, 35401, 516, 31743, 461, 10379, 95, 32, 2448, 883, 8921, 619, 5075, 15866, 619, 844, 2124, 461, 2953, 1098, 526, 9547, 328, 2532, 372, 322, 706, 688, 438, 5403, 3919, 3026, 1412, 13831, 600, 538, 29392, 5643, 32, 701, 8074, 30, 322, 2412, 7019, 4871, 436, 12816, 44, 1115, 8627, 16736, 326, 438, 13741, 372, 1115, 6276, 4540, 326, 12816, 26, 88, 27, 438, 13741, 372, 296, 1115, 6729, 326, 886, 3502, 12816, 12816, 346, 438, 13741, 372, 9254, 816, 44, 816, 6868, 15950, 645, 18316, 1188, 447, 30, 12816, 296, 280, 12816, 26, 447, 319, 225, 36, 30, 447, 474, 225, 35, 30, 447, 1115, 225, 36, 829, 1201, 296, 26, 35, 27, 610, 225, 43, 588, 1833, 35, 319, 225, 36, 27, 474, 225, 35, 27, 1115, 225, 36, 886, 4552, 2280, 1471, 529, 66, 32, 14953, 82, 645, 18316, 1188, 447, 1201, 225, 43, 610, 447, 32, 14953, 26, 225, 35, 30, 447, 319, 225, 36, 30, 588, 35, 319, 225, 36, 610, 225, 36, 447, 474, 225, 35, 30, 588, 36, 474, 225, 35, 610, 225, 37, 447, 1115, 225, 36, 588, 37, 1115, 225, 36, 610, 225, 43, 829, 1524, 584, 5980, 280, 428, 617, 2208, 26, 7613, 42690, 88, 436, 10313, 328, 6613, 1481, 584, 665, 485, 26, 106, 30, 1603, 711, 324, 442, 35094, 32, 8920, 26, 5962, 2181, 30, 296, 44, 296, 2740, 1132, 471, 5980, 30, 308, 106, 30, 1603, 490, 584, 442, 630, 3667, 3356, 3207, 89, 30, 1115, 5321, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5950, 26, 784, 30, 319, 1293, 81, 1132, 30, 1115, 1293, 81, 2665, 711, 203, 1524, 7488, 529, 8941, 32, 23349, 32, 3487, 32, 2230, 82, 2993, 584, 415, 2069, 26, 1293, 81, 2665, 27, 474, 2069, 26, 1293, 81, 1132, 27, 333, 225, 35, 44, 324, 3636, 3268, 440, 6574, 2305, 821, 31, 27977, 225, 35, 1603, 2677, 30, 5424, 301, 34, 111, 461, 301, 35, 16054, 1643, 26, 1293, 81, 1132, 30, 1603, 81, 2665, 490, 584, 415, 2069, 26, 1293, 81, 2665, 27, 848, 225, 35, 44, 324, 3636, 3268, 440, 6574, 2305, 821, 31, 7320, 225, 35, 11659, 2793, 6101, 30, 5424, 301, 34, 16054, 1643, 26, 1293, 81, 2665, 490, 584, 415, 2069, 26, 1293, 81, 2665, 27, 848, 225, 34, 44, 324, 1603, 81, 678, 280, 2354, 26, 1731, 26, 1293, 81, 2665, 32, 3494, 5156, 324, 2866, 81, 3385, 280, 1603, 81, 2665, 77, 1293, 81, 678, 79, 1064, 1603, 81, 1132, 1454, 308, 1293, 81, 678, 21713, 1064, 9810, 280, 630, 3776, 2866, 81, 3385, 584, 813, 44, 324, 9810, 280, 630, 28470, 665, 485, 26, 106, 30, 1603, 711, 324, 1974, 280, 301, 1202, 44, 816, 436, 1202, 328, 1603, 81, 1132, 320, 324, 1603, 280, 8745, 32, 6077, 26, 1293, 30, 1974, 27, 1064, 588, 2671, 5744, 436, 25614, 324, 617, 1078, 1222, 1572, 32, 4182, 69, 32, 1877, 26, 1293, 27, 1064, 442, 816, 30, 1603, 6925, 442, 9810, 3667, 3356, 3207, 89, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 24179, 26, 784, 30, 319, 13222, 30, 1115, 5321, 711, 203, 1524, 7488, 529, 8941, 32, 23349, 32, 3487, 32, 2797, 82, 2993, 584, 3051, 280, 630, 1114, 2388, 291, 10020, 280, 630, 1114, 633, 584, 2354, 81, 1824, 280, 516, 32, 8712, 2740, 13222, 42690, 88, 291, 10020, 280, 617, 669, 81, 1824, 26, 633, 30, 2354, 81, 1824, 27, 584, 485, 280, 617, 6993, 81, 325, 26, 633, 27, 584, 442, 3051, 3667, 3356, 3207, 89, 30, 1115, 5321, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3104, 26, 800, 30, 6222, 47, 2521, 711, 203, 1524, 3759, 322, 1451, 432, 485, 1067, 292, 7995, 328, 322, 802, 32, 5830, 688, 458, 4442, 5652, 372, 29046, 322, 3536, 802, 372, 9169, 322, 3104, 30, 707, 6228, 529, 1657, 26, 800, 7601, 461, 561, 1182, 1133, 33152, 438, 10081, 372, 322, 3104, 432, 322, 802, 308, 417, 372, 322, 529, 17785, 82, 786, 547, 9287, 15172, 973, 372, 322, 529, 17785, 82, 2793, 30, 415, 2702, 32, 1348, 438, 6364, 1412, 6325, 322, 3104, 432, 312, 802, 8187, 1629, 2723, 461, 322, 35800, 3104, 438, 646, 16713, 32, 225, 38, 225, 35, 225, 37, 34, 1524, 446, 415, 6222, 438, 1665, 44, 291, 442, 3632, 26, 35, 436, 617, 328, 570, 1067, 38098, 5731, 26, 800, 490, 446, 10032, 280, 485, 1067, 292, 7995, 26, 800, 27, 284, 2385, 280, 225, 34, 284, 2218, 2933, 44, 291, 1596, 44, 324, 415, 2385, 2377, 6222, 44, 400, 1626, 324, 2354, 26, 5162, 27, 291, 2940, 12305, 21863, 44, 324, 1626, 291, 813, 44, 324, 2385, 1454, 225, 35, 446, 442, 2385, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 11494, 26, 800, 30, 1477, 47, 2521, 30, 943, 47, 2521, 711, 203, 1524, 3759, 312, 33826, 432, 322, 2702, 802, 30, 33404, 485, 1067, 292, 7995, 4174, 432, 1340, 3953, 32, 46432, 10193, 438, 5927, 646, 5420, 32, 330, 102, 20701, 11543, 120, 25, 330, 102, 20701, 11543, 120, 17088, 25, 330, 17088, 308, 5161, 9905, 330, 308, 5161, 9905, 1524, 4057, 415, 1477, 438, 1665, 44, 291, 1477, 280, 225, 34, 284, 415, 943, 438, 646, 1665, 461, 1477, 2377, 943, 44, 291, 442, 3330, 446, 415, 1477, 333, 225, 34, 44, 291, 3636, 22210, 440, 17152, 28029, 438, 5927, 646 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2841, 372, 2091, 30, 458, 7410, 9175, 461, 5966, 299, 2625, 1340, 3352, 1829, 8792, 32, 1348, 323, 2371, 25389, 515, 438, 4122, 12683, 322, 529, 110, 5856, 308, 7413, 27, 4134, 2431, 328, 15111, 2124, 506, 35401, 516, 31743, 461, 10379, 95, 32, 2448, 883, 8921, 619, 5075, 15866, 619, 844, 2124, 461, 2953, 1098, 526, 9547, 328, 2532, 372, 322, 706, 688, 438, 5403, 3919, 3026, 1412, 13831, 600, 538, 29392, 5643, 32, 701, 8074, 30, 322, 2412, 7019, 4871, 436, 12816, 44, 1115, 8627, 16736, 326, 438, 13741, 372, 1115, 6276, 4540, 326, 12816, 26, 88, 27, 438, 13741, 372, 296, 1115, 6729, 326, 886, 3502, 12816, 12816, 346, 438, 13741, 372, 9254, 816, 44, 816, 6868, 15950, 645, 18316, 1188, 447, 30, 12816, 296, 280, 12816, 26, 447, 319, 225, 36, 30, 447, 474, 225, 35, 30, 447, 1115, 225, 36, 829, 1201, 296, 26, 35, 27, 610, 225, 43, 588, 1833, 35, 319, 225, 36, 27, 474, 225, 35, 27, 1115, 225, 36, 886, 4552, 2280, 1471, 529, 66, 32, 14953, 82, 645, 18316, 1188, 447, 1201, 225, 43, 610, 447, 32, 14953, 26, 225, 35, 30, 447, 319, 225, 36, 30, 588, 35, 319, 225, 36, 610, 225, 36, 447, 474, 225, 35, 30, 588, 36, 474, 225, 35, 610, 225, 37, 447, 1115, 225, 36, 588, 37, 1115, 225, 36, 610, 225, 43, 829, 1524, 584, 5980, 280, 428, 617, 2208, 26, 7613, 42690, 88, 436, 10313, 328, 6613, 1481, 584, 665, 485, 26, 106, 30, 1603, 711, 324, 442, 35094, 32, 8920, 26, 5962, 2181, 30, 296, 44, 296, 2740, 1132, 471, 5980, 30, 308, 106, 30, 1603, 490, 584, 442, 630, 3667, 3356, 3207, 89, 30, 1115, 5321, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5950, 26, 784, 30, 319, 1293, 81, 1132, 30, 1115, 1293, 81, 2665, 711, 203, 1524, 7488, 529, 8941, 32, 23349, 32, 3487, 32, 2230, 82, 2993, 584, 415, 2069, 26, 1293, 81, 2665, 27, 474, 2069, 26, 1293, 81, 1132, 27, 333, 225, 35, 44, 324, 3636, 3268, 440, 6574, 2305, 821, 31, 27977, 225, 35, 1603, 2677, 30, 5424, 301, 34, 111, 461, 301, 35, 16054, 1643, 26, 1293, 81, 1132, 30, 1603, 81, 2665, 490, 584, 415, 2069, 26, 1293, 81, 2665, 27, 848, 225, 35, 44, 324, 3636, 3268, 440, 6574, 2305, 821, 31, 7320, 225, 35, 11659, 2793, 6101, 30, 5424, 301, 34, 16054, 1643, 26, 1293, 81, 2665, 490, 584, 415, 2069, 26, 1293, 81, 2665, 27, 848, 225, 34, 44, 324, 1603, 81, 678, 280, 2354, 26, 1731, 26, 1293, 81, 2665, 32, 3494, 5156, 324, 2866, 81, 3385, 280, 1603, 81, 2665, 77, 1293, 81, 678, 79, 1064, 1603, 81, 1132, 1454, 308, 1293, 81, 678, 21713, 1064, 9810, 280, 630, 3776, 2866, 81, 3385, 584, 813, 44, 324, 9810, 280, 630, 28470, 665, 485, 26, 106, 30, 1603, 711, 324, 1974, 280, 301, 1202, 44, 816, 436, 1202, 328, 1603, 81, 1132, 320, 324, 1603, 280, 8745, 32, 6077, 26, 1293, 30, 1974, 27, 1064, 588, 2671, 5744, 436, 25614, 324, 617, 1078, 1222, 1572, 32, 4182, 69, 32, 1877, 26, 1293, 27, 1064, 442, 816, 30, 1603, 6925, 442, 9810, 3667, 3356, 3207, 89, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 24179, 26, 784, 30, 319, 13222, 30, 1115, 5321, 711, 203, 1524, 7488, 529, 8941, 32, 23349, 32, 3487, 32, 2797, 82, 2993, 584, 3051, 280, 630, 1114, 2388, 291, 10020, 280, 630, 1114, 633, 584, 2354, 81, 1824, 280, 516, 32, 8712, 2740, 13222, 42690, 88, 291, 10020, 280, 617, 669, 81, 1824, 26, 633, 30, 2354, 81, 1824, 27, 584, 485, 280, 617, 6993, 81, 325, 26, 633, 27, 584, 442, 3051, 3667, 3356, 3207, 89, 30, 1115, 5321, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3104, 26, 800, 30, 6222, 47, 2521, 711, 203, 1524, 3759, 322, 1451, 432, 485, 1067, 292, 7995, 328, 322, 802, 32, 5830, 688, 458, 4442, 5652, 372, 29046, 322, 3536, 802, 372, 9169, 322, 3104, 30, 707, 6228, 529, 1657, 26, 800, 7601, 461, 561, 1182, 1133, 33152, 438, 10081, 372, 322, 3104, 432, 322, 802, 308, 417, 372, 322, 529, 17785, 82, 786, 547, 9287, 15172, 973, 372, 322, 529, 17785, 82, 2793, 30, 415, 2702, 32, 1348, 438, 6364, 1412, 6325, 322, 3104, 432, 312, 802, 8187, 1629, 2723, 461, 322, 35800, 3104, 438, 646, 16713, 32, 225, 38, 225, 35, 225, 37, 34, 1524, 446, 415, 6222, 438, 1665, 44, 291, 442, 3632, 26, 35, 436, 617, 328, 570, 1067, 38098, 5731, 26, 800, 490, 446, 10032, 280, 485, 1067, 292, 7995, 26, 800, 27, 284, 2385, 280, 225, 34, 284, 2218, 2933, 44, 291, 1596, 44, 324, 415, 2385, 2377, 6222, 44, 400, 1626, 324, 2354, 26, 5162, 27, 291, 2940, 12305, 21863, 44, 324, 1626, 291, 813, 44, 324, 2385, 1454, 225, 35, 446, 442, 2385, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 11494, 26, 800, 30, 1477, 47, 2521, 30, 943, 47, 2521, 711, 203, 1524, 3759, 312, 33826, 432, 322, 2702, 802, 30, 33404, 485, 1067, 292, 7995, 4174, 432, 1340, 3953, 32, 46432, 10193, 438, 5927, 646, 5420, 32, 330, 102, 20701, 11543, 120, 25, 330, 102, 20701, 11543, 120, 17088, 25, 330, 17088, 308, 5161, 9905, 330, 308, 5161, 9905, 1524, 4057, 415, 1477, 438, 1665, 44, 291, 1477, 280, 225, 34, 284, 415, 943, 438, 646, 1665, 461, 1477, 2377, 943, 44, 291, 442, 3330, 446, 415, 1477, 333, 225, 34, 44, 291, 3636, 22210, 440, 17152, 28029, 438, 5927, 646 ]
[ 5420, 7144, 446, 3632, 81, 280, 225, 34, 284, 1477, 81, 1055, 280, 1665, 284, 436, 485, 1067, 38098, 81, 1055, 30, 485, 1067, 38098, 81, 1322, 328, 10703, 26, 771, 368, 38098, 81, 27959, 26, 800, 8531, 291, 415, 485, 1067, 38098, 81, 1055, 610, 1477, 44, 324, 1477, 81, 1055, 280, 3632, 81, 291, 4348, 485, 1067, 38098, 81, 1055, 610, 943, 44, 324, 442, 802, 77, 1366, 81, 1055, 44, 1036, 43825, 291, 3632, 81, 1454, 485, 1067, 38098, 81, 1322, 446, 415, 1477, 81, 1055, 438, 646, 1665, 44, 291, 442, 802, 77, 1366, 81, 1055, 10056, 446, 442, 3330, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4304, 26, 800, 30, 33826, 711, 203, 1524, 3759, 861, 415, 322, 6613, 432, 485, 1067, 292, 7995, 328, 33826, 438, 2329, 5024, 328, 802, 32, 1348, 42143, 645, 322, 4302, 4262, 529, 266, 82, 4134, 30, 4558, 322, 4262, 4134, 1098, 442, 861, 415, 322, 6613, 432, 1340, 3953, 884, 623, 299, 322, 1604, 802, 2876, 31286, 485, 1067, 38098, 28116, 32, 23016, 10173, 44, 39237, 8117, 415, 529, 8723, 646, 328, 802, 1801, 4558, 688, 2329, 6058, 688, 322, 2432, 485, 1067, 292, 7995, 883, 646, 526, 328, 322, 3134, 5852, 32, 12779, 458, 667, 1401, 10081, 1133, 22992, 328, 14772, 372, 322, 802, 3104, 32, 2030, 1098, 29046, 322, 6613, 432, 485, 1067, 292, 7995, 6222, 312, 2530, 438, 2431, 30, 1259, 561, 1098, 19159, 4436, 6085, 436, 485, 1067, 38098, 17211, 688, 2530, 15883, 32, 2933, 3177, 1524, 446, 415, 33826, 646, 328, 802, 44, 291, 442, 3177, 446, 17098, 81, 771, 368, 292, 7995, 280, 1149, 26, 771, 368, 292, 7995, 26, 8723, 490, 446, 415, 2069, 26, 10882, 81, 771, 368, 292, 7995, 27, 610, 225, 34, 44, 291, 442, 2933, 284, 4348, 2069, 26, 10882, 81, 771, 368, 292, 7995, 27, 610, 225, 35, 44, 291, 442, 17098, 81, 771, 368, 292, 7995, 77, 34, 79, 328, 485, 1067, 292, 7995, 26, 800, 27, 284, 813, 44, 291, 596, 81, 1731, 280, 485, 1067, 292, 7995, 26, 800, 27, 291, 596, 81, 1113, 81, 2050, 280, 1605, 291, 436, 617, 328, 2155, 26, 1657, 26, 10882, 81, 771, 368, 292, 7995, 8531, 324, 1596, 44, 400, 596, 81, 1113, 81, 2050, 32, 1689, 26, 1978, 26, 466, 81, 1731, 490, 324, 2940, 12305, 21863, 44, 400, 442, 3177, 584, 436, 485, 328, 596, 81, 1731, 44, 324, 415, 596, 81, 1113, 81, 2050, 610, 17098, 81, 771, 368, 292, 7995, 44, 400, 442, 2933, 1064, 596, 81, 1113, 81, 2050, 32, 1689, 26, 89, 27, 324, 596, 81, 1113, 81, 2050, 32, 3235, 26, 34, 27, 291, 442, 596, 81, 1113, 81, 2050, 610, 17098, 81, 771, 368, 292, 7995, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1477, 15285, 26, 800, 30, 5202, 711, 203, 1524, 25010, 596, 32, 15990, 30, 1273, 2329, 9371, 688, 322, 802, 11187, 623, 322, 2702, 34066, 6613, 432, 485, 1067, 292, 7995, 32, 596, 32, 15990, 1631, 442, 861, 436, 312, 5202, 688, 438, 646, 3058, 3405, 17718, 619, 312, 5202, 415, 312, 485, 1067, 38098, 4904, 438, 45253, 2685, 322, 5202, 15564, 32, 3177, 2933, 1524, 446, 442, 802, 32, 15990, 26, 4254, 27, 461, 10061, 81, 2998, 81, 1055, 26, 800, 30, 2069, 26, 4254, 490, 610, 2069, 26, 4254, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 943, 15285, 26, 800, 30, 12809, 711, 203, 1524, 25010, 596, 32, 20643, 30, 1273, 2329, 9371, 688, 322, 802, 15564, 623, 322, 2702, 34066, 6613, 432, 485, 1067, 292, 7995, 32, 596, 32, 20643, 1631, 442, 861, 436, 312, 12809, 688, 438, 646, 3058, 3405, 17718, 619, 312, 12809, 415, 312, 485, 1067, 38098, 4904, 438, 47560, 2670, 322, 12809, 11187, 32, 3177, 2933, 1524, 446, 2799, 81, 1055, 280, 2069, 26, 800, 27, 429, 2069, 26, 12420, 27, 284, 442, 802, 32, 20643, 26, 12420, 27, 461, 10061, 81, 2998, 81, 1055, 26, 800, 30, 2799, 81, 1055, 27, 610, 2799, 81, 1055, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 10061, 81, 2998, 81, 1055, 26, 800, 30, 1769, 81, 1657, 711, 203, 1524, 3759, 322, 18399, 1650, 973, 372, 529, 1449, 81, 1657, 82, 821, 1510, 322, 2702, 802, 883, 526, 309, 31870, 30, 2876, 16279, 312, 485, 1067, 38098, 32, 1348, 438, 6364, 436, 1412, 844, 2637, 372, 6122, 556, 4818, 312, 33826, 645, 312, 802, 30, 461, 2800, 1330, 6394, 9347, 2625, 322, 7153, 485, 1067, 38098, 3104, 30, 1273, 2800, 1330, 2637, 372, 19902, 16279, 4905, 485, 1067, 292, 7995, 32, 1348, 667, 1957, 20165, 646, 29046, 322, 3536, 485, 1067, 38098, 6613, 973, 372, 322, 2702, 3104, 30, 1259, 561, 883, 526, 1654, 436, 2099, 11826, 15843, 1946, 5852, 461, 3857, 529, 1449, 81, 1657, 82, 101, 32, 8746, 30, 1629, 485, 1067, 38098, 28116, 3526, 544, 322, 4552, 1603, 30, 1259, 322, 36814, 1135, 7871, 438, 546, 26, 96, 547, 701, 18572, 30, 561, 1182, 1755, 5029, 1946, 2979, 31, 23808, 17211, 432, 10769, 5736, 308, 27877, 318, 619, 7882, 14207, 16827, 4044, 27, 688, 1098, 4436, 6658, 631, 32, 886, 442, 786, 1098, 5182, 526, 3733, 529, 34, 82, 461, 529, 1657, 26, 800, 30245, 225, 40, 330, 102, 20701, 330, 330, 39696, 17088, 308, 5161, 9905, 1524, 446, 2401, 81, 1055, 280, 622, 81, 2135, 81, 6989, 504, 81, 2969, 81, 1055, 26, 800, 30, 1769, 81, 1657, 27, 284, 436, 456, 328, 485, 1067, 38098, 81, 27959, 26, 800, 77, 2135, 81, 1055, 10056, 711, 291, 415, 2401, 81, 1055, 474, 456, 848 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5420, 7144, 446, 3632, 81, 280, 225, 34, 284, 1477, 81, 1055, 280, 1665, 284, 436, 485, 1067, 38098, 81, 1055, 30, 485, 1067, 38098, 81, 1322, 328, 10703, 26, 771, 368, 38098, 81, 27959, 26, 800, 8531, 291, 415, 485, 1067, 38098, 81, 1055, 610, 1477, 44, 324, 1477, 81, 1055, 280, 3632, 81, 291, 4348, 485, 1067, 38098, 81, 1055, 610, 943, 44, 324, 442, 802, 77, 1366, 81, 1055, 44, 1036, 43825, 291, 3632, 81, 1454, 485, 1067, 38098, 81, 1322, 446, 415, 1477, 81, 1055, 438, 646, 1665, 44, 291, 442, 802, 77, 1366, 81, 1055, 10056, 446, 442, 3330, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4304, 26, 800, 30, 33826, 711, 203, 1524, 3759, 861, 415, 322, 6613, 432, 485, 1067, 292, 7995, 328, 33826, 438, 2329, 5024, 328, 802, 32, 1348, 42143, 645, 322, 4302, 4262, 529, 266, 82, 4134, 30, 4558, 322, 4262, 4134, 1098, 442, 861, 415, 322, 6613, 432, 1340, 3953, 884, 623, 299, 322, 1604, 802, 2876, 31286, 485, 1067, 38098, 28116, 32, 23016, 10173, 44, 39237, 8117, 415, 529, 8723, 646, 328, 802, 1801, 4558, 688, 2329, 6058, 688, 322, 2432, 485, 1067, 292, 7995, 883, 646, 526, 328, 322, 3134, 5852, 32, 12779, 458, 667, 1401, 10081, 1133, 22992, 328, 14772, 372, 322, 802, 3104, 32, 2030, 1098, 29046, 322, 6613, 432, 485, 1067, 292, 7995, 6222, 312, 2530, 438, 2431, 30, 1259, 561, 1098, 19159, 4436, 6085, 436, 485, 1067, 38098, 17211, 688, 2530, 15883, 32, 2933, 3177, 1524, 446, 415, 33826, 646, 328, 802, 44, 291, 442, 3177, 446, 17098, 81, 771, 368, 292, 7995, 280, 1149, 26, 771, 368, 292, 7995, 26, 8723, 490, 446, 415, 2069, 26, 10882, 81, 771, 368, 292, 7995, 27, 610, 225, 34, 44, 291, 442, 2933, 284, 4348, 2069, 26, 10882, 81, 771, 368, 292, 7995, 27, 610, 225, 35, 44, 291, 442, 17098, 81, 771, 368, 292, 7995, 77, 34, 79, 328, 485, 1067, 292, 7995, 26, 800, 27, 284, 813, 44, 291, 596, 81, 1731, 280, 485, 1067, 292, 7995, 26, 800, 27, 291, 596, 81, 1113, 81, 2050, 280, 1605, 291, 436, 617, 328, 2155, 26, 1657, 26, 10882, 81, 771, 368, 292, 7995, 8531, 324, 1596, 44, 400, 596, 81, 1113, 81, 2050, 32, 1689, 26, 1978, 26, 466, 81, 1731, 490, 324, 2940, 12305, 21863, 44, 400, 442, 3177, 584, 436, 485, 328, 596, 81, 1731, 44, 324, 415, 596, 81, 1113, 81, 2050, 610, 17098, 81, 771, 368, 292, 7995, 44, 400, 442, 2933, 1064, 596, 81, 1113, 81, 2050, 32, 1689, 26, 89, 27, 324, 596, 81, 1113, 81, 2050, 32, 3235, 26, 34, 27, 291, 442, 596, 81, 1113, 81, 2050, 610, 17098, 81, 771, 368, 292, 7995, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1477, 15285, 26, 800, 30, 5202, 711, 203, 1524, 25010, 596, 32, 15990, 30, 1273, 2329, 9371, 688, 322, 802, 11187, 623, 322, 2702, 34066, 6613, 432, 485, 1067, 292, 7995, 32, 596, 32, 15990, 1631, 442, 861, 436, 312, 5202, 688, 438, 646, 3058, 3405, 17718, 619, 312, 5202, 415, 312, 485, 1067, 38098, 4904, 438, 45253, 2685, 322, 5202, 15564, 32, 3177, 2933, 1524, 446, 442, 802, 32, 15990, 26, 4254, 27, 461, 10061, 81, 2998, 81, 1055, 26, 800, 30, 2069, 26, 4254, 490, 610, 2069, 26, 4254, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 943, 15285, 26, 800, 30, 12809, 711, 203, 1524, 25010, 596, 32, 20643, 30, 1273, 2329, 9371, 688, 322, 802, 15564, 623, 322, 2702, 34066, 6613, 432, 485, 1067, 292, 7995, 32, 596, 32, 20643, 1631, 442, 861, 436, 312, 12809, 688, 438, 646, 3058, 3405, 17718, 619, 312, 12809, 415, 312, 485, 1067, 38098, 4904, 438, 47560, 2670, 322, 12809, 11187, 32, 3177, 2933, 1524, 446, 2799, 81, 1055, 280, 2069, 26, 800, 27, 429, 2069, 26, 12420, 27, 284, 442, 802, 32, 20643, 26, 12420, 27, 461, 10061, 81, 2998, 81, 1055, 26, 800, 30, 2799, 81, 1055, 27, 610, 2799, 81, 1055, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 10061, 81, 2998, 81, 1055, 26, 800, 30, 1769, 81, 1657, 711, 203, 1524, 3759, 322, 18399, 1650, 973, 372, 529, 1449, 81, 1657, 82, 821, 1510, 322, 2702, 802, 883, 526, 309, 31870, 30, 2876, 16279, 312, 485, 1067, 38098, 32, 1348, 438, 6364, 436, 1412, 844, 2637, 372, 6122, 556, 4818, 312, 33826, 645, 312, 802, 30, 461, 2800, 1330, 6394, 9347, 2625, 322, 7153, 485, 1067, 38098, 3104, 30, 1273, 2800, 1330, 2637, 372, 19902, 16279, 4905, 485, 1067, 292, 7995, 32, 1348, 667, 1957, 20165, 646, 29046, 322, 3536, 485, 1067, 38098, 6613, 973, 372, 322, 2702, 3104, 30, 1259, 561, 883, 526, 1654, 436, 2099, 11826, 15843, 1946, 5852, 461, 3857, 529, 1449, 81, 1657, 82, 101, 32, 8746, 30, 1629, 485, 1067, 38098, 28116, 3526, 544, 322, 4552, 1603, 30, 1259, 322, 36814, 1135, 7871, 438, 546, 26, 96, 547, 701, 18572, 30, 561, 1182, 1755, 5029, 1946, 2979, 31, 23808, 17211, 432, 10769, 5736, 308, 27877, 318, 619, 7882, 14207, 16827, 4044, 27, 688, 1098, 4436, 6658, 631, 32, 886, 442, 786, 1098, 5182, 526, 3733, 529, 34, 82, 461, 529, 1657, 26, 800, 30245, 225, 40, 330, 102, 20701, 330, 330, 39696, 17088, 308, 5161, 9905, 1524, 446, 2401, 81, 1055, 280, 622, 81, 2135, 81, 6989, 504, 81, 2969, 81, 1055, 26, 800, 30, 1769, 81, 1657, 27, 284, 436, 456, 328, 485, 1067, 38098, 81, 27959, 26, 800, 77, 2135, 81, 1055, 10056, 711, 291, 415, 2401, 81, 1055, 474, 456, 848 ]
[ 1769, 81, 1657, 44, 324, 1626, 291, 2401, 81, 1055, 1454, 456, 284, 442, 2401, 81, 1055, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2866, 52, 35, 38364, 26, 3607, 30, 706, 711, 203, 1524, 2538, 312, 3338, 5193, 1991, 312, 551, 35, 47149, 32, 31945, 44, 4870, 44, 636, 432, 322, 803, 32, 706, 44, 3338, 9473, 13907, 44, 14735, 3097, 3919, 372, 322, 13097, 32, 1524, 446, 1169, 3494, 280, 1149, 26, 605, 32, 3494, 1157, 284, 296, 280, 2156, 26, 3607, 30, 330, 6000, 370, 7328, 1057, 3310, 31, 42, 683, 284, 436, 13538, 328, 617, 38364, 81, 605, 44, 225, 588, 2164, 2504, 1628, 291, 1628, 2409, 280, 13538, 77, 34, 79, 291, 1600, 4243, 280, 13538, 77, 35, 79, 291, 588, 739, 322, 1244, 14971, 415, 561, 438, 646, 2702, 291, 415, 2069, 26, 1381, 27, 333, 225, 37, 44, 324, 14971, 280, 596, 291, 4348, 13538, 77, 36, 79, 438, 1665, 44, 324, 14971, 280, 596, 291, 813, 44, 324, 14971, 280, 13538, 77, 36, 79, 291, 588, 458, 1098, 4799, 322, 14186, 2078, 32, 291, 14186, 280, 4247, 291, 415, 6937, 26, 1495, 4243, 30, 596, 711, 324, 588, 13145, 1600, 636, 30, 2258, 1591, 1600, 32, 47484, 1395, 526, 312, 324, 588, 20695, 32, 324, 415, 1600, 4243, 646, 328, 1169, 3494, 44, 400, 588, 458, 1600, 1401, 3425, 2583, 11451, 400, 4036, 324, 1596, 44, 400, 14186, 280, 14971, 26, 605, 77, 1495, 4243, 1130, 324, 2940, 25085, 44, 400, 588, 1600, 646, 2431, 328, 4356, 5193, 400, 4036, 291, 4348, 6937, 26, 1495, 4243, 30, 8825, 711, 324, 588, 1829, 2784, 1591, 1600, 4467, 328, 312, 8825, 32, 701, 458, 1135, 30, 14971, 883, 324, 588, 526, 312, 8825, 432, 1476, 6975, 1179, 324, 415, 1169, 43270, 3359, 646, 328, 1169, 3494, 27, 436, 2771, 328, 1600, 4243, 10794, 400, 588, 415, 1169, 322, 3829, 1159, 2583, 11451, 44, 400, 4036, 324, 415, 6937, 26, 14548, 30, 8825, 27, 461, 2069, 26, 14548, 27, 610, 2069, 26, 1495, 4243, 711, 400, 14186, 280, 330, 5608, 2524, 2009, 708, 26, 605, 77, 3359, 1130, 8479, 436, 18422, 30, 2771, 328, 8529, 26, 14548, 30, 1600, 4243, 14829, 324, 588, 2417, 271, 312, 3982, 20695, 1179, 324, 4348, 646, 6937, 26, 14548, 30, 8825, 711, 400, 14186, 280, 14971, 2009, 605, 77, 3359, 79, 436, 2771, 328, 1600, 4243, 1130, 324, 588, 2417, 31873, 3636, 600, 3756, 32, 324, 813, 44, 400, 3636, 14277, 924, 463, 23560, 1048, 44, 14971, 1395, 526, 312, 13145, 556, 312, 8825, 78, 203, 1028, 322, 2432, 3104, 619, 322, 1600, 4467, 328, 47149, 81, 605, 11834, 291, 813, 44, 225, 588, 1600, 4243, 438, 25209, 312, 802, 30, 12356, 312, 8825, 32, 324, 3636, 14277, 924, 26, 400, 330, 3817, 8345, 308, 23900, 1048, 27, 328, 47149, 81, 605, 328, 2866, 753, 761, 922, 683, 291, 588, 1596, 372, 622, 322, 2078, 291, 11220, 364, 441, 1049, 280, 1628, 2409, 474, 330, 3491, 102, 25, 474, 14186, 474, 3228, 96, 25, 291, 296, 32, 1821, 26, 1800, 364, 441, 1049, 27, 291, 415, 6937, 26, 1495, 4243, 30, 8825, 711, 324, 436, 2771, 328, 1600, 4243, 44, 225, 588, 3345, 322, 2803, 23902, 32, 400, 415, 2771, 328, 1169, 3494, 44, 528, 1169, 3494, 32, 2546, 26, 3359, 27, 291, 813, 44, 324, 415, 1600, 4243, 328, 1169, 3494, 44, 400, 1169, 3494, 32, 2546, 26, 1495, 4243, 27, 284, 588, 2866, 5406, 268, 733, 2803, 284, 436, 831, 328, 1169, 3494, 44, 291, 11220, 364, 441, 1049, 280, 831, 474, 330, 3491, 102, 25, 474, 596, 26, 605, 77, 93, 1130, 474, 3228, 96, 25, 291, 296, 32, 1821, 26, 1800, 364, 441, 1049, 27, 446, 296, 32, 2679, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 20469, 88, 81, 8281, 928, 26, 1873, 30, 2091, 711, 203, 1524, 2762, 667, 372, 21660, 5430, 328, 600, 516, 3698, 803, 3338, 32, 1524, 446, 4442, 280, 428, 410, 30, 1897, 30, 9254, 456, 44, 1808, 26, 94, 32, 2998, 26, 2521, 30, 225, 35, 5594, 34, 5727, 353, 9254, 456, 44, 410, 26, 94, 32, 2998, 26, 2521, 30, 225, 35, 5594, 34, 5727, 353, 2340, 1040, 32, 3922, 32, 2208, 30, 9254, 816, 44, 466, 26, 106, 2177, 284, 436, 296, 328, 4442, 44, 291, 1596, 44, 324, 2091, 280, 296, 26, 990, 27, 324, 1626, 291, 2940, 10091, 44, 324, 4036, 284, 442, 2091, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1491, 3303, 2111, 26, 3607, 711, 203, 1524, 2230, 312, 3338, 645, 312, 8359, 30033, 638, 893, 803, 7103, 446, 623, 2156, 26, 3607, 30, 330, 4506, 683, 619, 296, 44, 291, 629, 2111, 280, 2065, 32, 1070, 800, 26, 88, 32, 850, 26, 35, 34, 319, 225, 38, 471, 2065, 32, 410, 37, 36, 27, 291, 1897, 2111, 280, 2065, 32, 1070, 800, 26, 88, 32, 850, 26, 35, 39, 319, 225, 38, 471, 4145, 88, 38, 683, 291, 596, 2111, 280, 296, 32, 850, 26, 36, 38, 27, 291, 296, 32, 850, 26, 38, 27, 291, 1604, 8352, 280, 428, 88, 32, 850, 26, 35, 40, 27, 436, 595, 328, 2155, 26, 36, 43, 2177, 284, 442, 5053, 74, 891, 950, 629, 2111, 77, 34, 614, 330, 75, 891, 950, 629, 2111, 77, 35, 614, 330, 23874, 1043, 950, 629, 2111, 77, 42, 614, 324, 330, 30409, 2996, 74, 950, 1897, 2111, 77, 41, 614, 330, 30409, 2996, 75, 950, 1897, 2111, 77, 42, 614, 324, 330, 73, 29055, 950, 1897, 2111, 77, 43, 614, 330, 4496, 950, 1897, 2111, 77, 35, 34, 614, 324, 11477, 9009, 14935, 330, 5686, 30033, 638, 893, 370, 330, 4133 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1769, 81, 1657, 44, 324, 1626, 291, 2401, 81, 1055, 1454, 456, 284, 442, 2401, 81, 1055, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2866, 52, 35, 38364, 26, 3607, 30, 706, 711, 203, 1524, 2538, 312, 3338, 5193, 1991, 312, 551, 35, 47149, 32, 31945, 44, 4870, 44, 636, 432, 322, 803, 32, 706, 44, 3338, 9473, 13907, 44, 14735, 3097, 3919, 372, 322, 13097, 32, 1524, 446, 1169, 3494, 280, 1149, 26, 605, 32, 3494, 1157, 284, 296, 280, 2156, 26, 3607, 30, 330, 6000, 370, 7328, 1057, 3310, 31, 42, 683, 284, 436, 13538, 328, 617, 38364, 81, 605, 44, 225, 588, 2164, 2504, 1628, 291, 1628, 2409, 280, 13538, 77, 34, 79, 291, 1600, 4243, 280, 13538, 77, 35, 79, 291, 588, 739, 322, 1244, 14971, 415, 561, 438, 646, 2702, 291, 415, 2069, 26, 1381, 27, 333, 225, 37, 44, 324, 14971, 280, 596, 291, 4348, 13538, 77, 36, 79, 438, 1665, 44, 324, 14971, 280, 596, 291, 813, 44, 324, 14971, 280, 13538, 77, 36, 79, 291, 588, 458, 1098, 4799, 322, 14186, 2078, 32, 291, 14186, 280, 4247, 291, 415, 6937, 26, 1495, 4243, 30, 596, 711, 324, 588, 13145, 1600, 636, 30, 2258, 1591, 1600, 32, 47484, 1395, 526, 312, 324, 588, 20695, 32, 324, 415, 1600, 4243, 646, 328, 1169, 3494, 44, 400, 588, 458, 1600, 1401, 3425, 2583, 11451, 400, 4036, 324, 1596, 44, 400, 14186, 280, 14971, 26, 605, 77, 1495, 4243, 1130, 324, 2940, 25085, 44, 400, 588, 1600, 646, 2431, 328, 4356, 5193, 400, 4036, 291, 4348, 6937, 26, 1495, 4243, 30, 8825, 711, 324, 588, 1829, 2784, 1591, 1600, 4467, 328, 312, 8825, 32, 701, 458, 1135, 30, 14971, 883, 324, 588, 526, 312, 8825, 432, 1476, 6975, 1179, 324, 415, 1169, 43270, 3359, 646, 328, 1169, 3494, 27, 436, 2771, 328, 1600, 4243, 10794, 400, 588, 415, 1169, 322, 3829, 1159, 2583, 11451, 44, 400, 4036, 324, 415, 6937, 26, 14548, 30, 8825, 27, 461, 2069, 26, 14548, 27, 610, 2069, 26, 1495, 4243, 711, 400, 14186, 280, 330, 5608, 2524, 2009, 708, 26, 605, 77, 3359, 1130, 8479, 436, 18422, 30, 2771, 328, 8529, 26, 14548, 30, 1600, 4243, 14829, 324, 588, 2417, 271, 312, 3982, 20695, 1179, 324, 4348, 646, 6937, 26, 14548, 30, 8825, 711, 400, 14186, 280, 14971, 2009, 605, 77, 3359, 79, 436, 2771, 328, 1600, 4243, 1130, 324, 588, 2417, 31873, 3636, 600, 3756, 32, 324, 813, 44, 400, 3636, 14277, 924, 463, 23560, 1048, 44, 14971, 1395, 526, 312, 13145, 556, 312, 8825, 78, 203, 1028, 322, 2432, 3104, 619, 322, 1600, 4467, 328, 47149, 81, 605, 11834, 291, 813, 44, 225, 588, 1600, 4243, 438, 25209, 312, 802, 30, 12356, 312, 8825, 32, 324, 3636, 14277, 924, 26, 400, 330, 3817, 8345, 308, 23900, 1048, 27, 328, 47149, 81, 605, 328, 2866, 753, 761, 922, 683, 291, 588, 1596, 372, 622, 322, 2078, 291, 11220, 364, 441, 1049, 280, 1628, 2409, 474, 330, 3491, 102, 25, 474, 14186, 474, 3228, 96, 25, 291, 296, 32, 1821, 26, 1800, 364, 441, 1049, 27, 291, 415, 6937, 26, 1495, 4243, 30, 8825, 711, 324, 436, 2771, 328, 1600, 4243, 44, 225, 588, 3345, 322, 2803, 23902, 32, 400, 415, 2771, 328, 1169, 3494, 44, 528, 1169, 3494, 32, 2546, 26, 3359, 27, 291, 813, 44, 324, 415, 1600, 4243, 328, 1169, 3494, 44, 400, 1169, 3494, 32, 2546, 26, 1495, 4243, 27, 284, 588, 2866, 5406, 268, 733, 2803, 284, 436, 831, 328, 1169, 3494, 44, 291, 11220, 364, 441, 1049, 280, 831, 474, 330, 3491, 102, 25, 474, 596, 26, 605, 77, 93, 1130, 474, 3228, 96, 25, 291, 296, 32, 1821, 26, 1800, 364, 441, 1049, 27, 446, 296, 32, 2679, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 20469, 88, 81, 8281, 928, 26, 1873, 30, 2091, 711, 203, 1524, 2762, 667, 372, 21660, 5430, 328, 600, 516, 3698, 803, 3338, 32, 1524, 446, 4442, 280, 428, 410, 30, 1897, 30, 9254, 456, 44, 1808, 26, 94, 32, 2998, 26, 2521, 30, 225, 35, 5594, 34, 5727, 353, 9254, 456, 44, 410, 26, 94, 32, 2998, 26, 2521, 30, 225, 35, 5594, 34, 5727, 353, 2340, 1040, 32, 3922, 32, 2208, 30, 9254, 816, 44, 466, 26, 106, 2177, 284, 436, 296, 328, 4442, 44, 291, 1596, 44, 324, 2091, 280, 296, 26, 990, 27, 324, 1626, 291, 2940, 10091, 44, 324, 4036, 284, 442, 2091, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1491, 3303, 2111, 26, 3607, 711, 203, 1524, 2230, 312, 3338, 645, 312, 8359, 30033, 638, 893, 803, 7103, 446, 623, 2156, 26, 3607, 30, 330, 4506, 683, 619, 296, 44, 291, 629, 2111, 280, 2065, 32, 1070, 800, 26, 88, 32, 850, 26, 35, 34, 319, 225, 38, 471, 2065, 32, 410, 37, 36, 27, 291, 1897, 2111, 280, 2065, 32, 1070, 800, 26, 88, 32, 850, 26, 35, 39, 319, 225, 38, 471, 4145, 88, 38, 683, 291, 596, 2111, 280, 296, 32, 850, 26, 36, 38, 27, 291, 296, 32, 850, 26, 38, 27, 291, 1604, 8352, 280, 428, 88, 32, 850, 26, 35, 40, 27, 436, 595, 328, 2155, 26, 36, 43, 2177, 284, 442, 5053, 74, 891, 950, 629, 2111, 77, 34, 614, 330, 75, 891, 950, 629, 2111, 77, 35, 614, 330, 23874, 1043, 950, 629, 2111, 77, 42, 614, 324, 330, 30409, 2996, 74, 950, 1897, 2111, 77, 41, 614, 330, 30409, 2996, 75, 950, 1897, 2111, 77, 42, 614, 324, 330, 73, 29055, 950, 1897, 2111, 77, 43, 614, 330, 4496, 950, 1897, 2111, 77, 35, 34, 614, 324, 11477, 9009, 14935, 330, 5686, 30033, 638, 893, 370, 330, 4133 ]
[ 1322, 950, 629, 2111, 77, 36, 614, 324, 330, 4363, 29795, 15047, 950, 629, 2111, 77, 38, 614, 324, 330, 4363, 29795, 11541, 950, 629, 2111, 77, 39, 614, 324, 330, 1547, 950, 2340, 1040, 32, 3922, 32, 2208, 26, 466, 2111, 471, 324, 330, 14329, 950, 330, 28190, 2201, 54, 370, 11477, 20314, 14935, 330, 833, 20057, 6040, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 31526, 26, 106, 30, 312, 30, 323, 30, 281, 711, 203, 1524, 5064, 2532, 25137, 31945, 44, 14761, 4102, 106, 35786, 16371, 2677, 4102, 83, 35786, 17134, 432, 322, 3100, 31, 1174, 5615, 4102, 84, 35786, 17134, 432, 322, 1932, 31, 1174, 5615, 4102, 85, 35786, 1015, 4823, 8082, 32458, 44, 24618, 4102, 83, 28, 106, 80, 36, 474, 323, 28, 106, 474, 281, 572, 1524, 446, 442, 312, 319, 816, 1115, 225, 36, 474, 323, 319, 816, 474, 281, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 44188, 26, 106, 30, 312, 30, 323, 30, 281, 30, 343, 711, 203, 1524, 24165, 2532, 25137, 31945, 44, 14761, 4102, 106, 35786, 16371, 2677, 4102, 83, 35786, 17134, 432, 322, 10970, 31, 1174, 5615, 4102, 84, 35786, 17134, 432, 322, 3100, 31, 1174, 5615, 4102, 85, 35786, 17134, 432, 322, 1932, 31, 1174, 5615, 4102, 86, 35786, 1015, 4823, 8082, 32458, 44, 24618, 4102, 83, 28, 106, 80, 37, 474, 323, 28, 106, 80, 36, 474, 281, 28, 106, 474, 343, 572, 1524, 446, 442, 312, 319, 816, 1115, 225, 37, 474, 323, 319, 816, 1115, 225, 36, 474, 281, 319, 816, 474, 343, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2662, 5947, 26, 106, 30, 312, 30, 11768, 30, 16355, 711, 203, 1524, 14960, 432, 312, 1245, 31, 4382, 7433, 31945, 44, 14761, 4102, 106, 35786, 16371, 2677, 4102, 83, 35786, 38111, 4102, 6974, 35786, 4193, 3395, 4102, 11756, 35786, 1861, 3395, 32458, 44, 24618, 4102, 83, 33, 308, 36, 28, 1295, 28, 11756, 80, 36, 28, 106, 80, 36, 20963, 34, 32, 39, 319, 2910, 3736, 26, 751, 26, 106, 7824, 6974, 20963, 36, 13824, 36, 28, 11756, 80, 36, 490, 1524, 446, 442, 312, 517, 2065, 32, 8663, 26, 36, 319, 2065, 32, 1295, 319, 16355, 1115, 225, 36, 319, 816, 1115, 225, 36, 27, 319, 78, 291, 2065, 32, 2832, 3736, 26, 2356, 32, 751, 26, 106, 27, 429, 11768, 27, 1115, 225, 36, 517, 308, 36, 319, 16355, 1115, 225, 36, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 81, 1113, 15615, 26, 1366, 1515, 1057, 6418, 33798, 81, 6299, 47, 2521, 711, 203, 1524, 4868, 1169, 45184, 432, 312, 3362, 32, 31945, 44, 1477, 1515, 44, 3362, 372, 1477, 623, 32, 16010, 372, 322, 1550, 4844, 32, 33798, 81, 6299, 44, 1451, 432, 13021, 372, 29046, 32, 1665, 438, 20280, 32, 5582, 44, 312, 1149, 432, 7976, 4467, 432, 1361, 20415, 32, 15950, 44, 588, 432, 330, 1515, 2473, 1524, 446, 1477, 1515, 280, 2322, 32, 983, 32, 8931, 496, 26, 1366, 1515, 27, 284, 3872, 81, 1113, 15615, 280, 428, 500, 32, 983, 32, 2524, 26, 1366, 1515, 30, 816, 27, 436, 816, 328, 2322, 32, 26366, 26, 291, 1477, 1515, 27, 415, 2322, 32, 983, 32, 34103, 26, 500, 32, 983, 32, 2524, 26, 1366, 1515, 30, 816, 12634, 284, 415, 33798, 81, 6299, 438, 1665, 44, 291, 2354, 81, 46329, 81, 6299, 280, 1665, 284, 813, 44, 291, 2354, 81, 46329, 81, 6299, 280, 33798, 81, 6299, 429, 225, 35, 284, 415, 308, 46329, 81, 6299, 438, 646, 1665, 27, 461, 308, 46329, 81, 6299, 2511, 225, 35, 711, 291, 442, 428, 1366, 1515, 79, 474, 3872, 81, 1113, 15615, 284, 813, 44, 291, 1361, 15615, 280, 1605, 291, 436, 343, 328, 3872, 81, 1113, 15615, 44, 324, 1361, 15615, 32, 8233, 26, 1809, 81, 1113, 15615, 26, 86, 30, 2354, 81, 46329, 81, 6299, 490, 291, 442, 428, 1366, 1515, 79, 474, 1361, 15615, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 11000, 81, 6844, 26, 106, 30, 533, 30, 13196, 30, 489, 30, 34368, 14135, 30, 489, 4698, 47, 2521, 30, 14486, 1057, 62, 686, 566, 108, 370, 442, 81, 2072, 283, 47, 2700, 30, 442, 81, 4597, 47, 2700, 711, 203, 1524, 4868, 4609, 3340, 16070, 328, 322, 5890, 2702, 810, 16540, 816, 461, 533, 32, 31116, 884, 27883, 436, 328, 322, 5890, 2154, 322, 489, 4981, 2670, 461, 2685, 1159, 33220, 7216, 2078, 2784, 3026, 32, 2614, 622, 19220, 432, 901, 7528, 11118, 16268, 810, 2022, 674, 103, 993, 30, 34368, 14135, 438, 19711, 32, 2030, 438, 322, 1451, 432, 963, 5453, 4981, 372, 526, 273, 11520, 733, 30, 595, 32, 87, 32, 4981, 544, 322, 2841, 31, 4668, 5209, 432, 322, 26101, 2154, 322, 42195, 28543, 2362, 20797, 556, 544, 322, 2091, 31, 4668, 5209, 2154, 322, 4406, 266, 41137, 28543, 2362, 20797, 32, 701, 32624, 458, 1451, 30, 11510, 13344, 11318, 277, 372, 901, 32117, 4119, 32, 31945, 44, 816, 30, 533, 30, 13196, 44, 16540, 20720, 322, 706, 31, 470, 32, 13196, 883, 526, 1665, 32, 489, 30, 34368, 14135, 44, 322, 3377, 432, 322, 26101, 31, 32129, 23165, 489, 4698, 44, 322, 1451, 432, 4981, 544, 322, 2841, 461, 544, 322, 2091, 432, 322, 26101, 372, 526, 1654, 436, 6225, 36535, 2488, 31165, 432, 322, 26101, 14471, 32, 14486, 44, 322, 827, 432, 322, 14486, 372, 526, 8157, 3251, 372, 322, 3340, 16070, 32, 5477, 526, 330, 62, 686, 566, 108, 25, 556, 330, 18782, 7756, 25, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1322, 950, 629, 2111, 77, 36, 614, 324, 330, 4363, 29795, 15047, 950, 629, 2111, 77, 38, 614, 324, 330, 4363, 29795, 11541, 950, 629, 2111, 77, 39, 614, 324, 330, 1547, 950, 2340, 1040, 32, 3922, 32, 2208, 26, 466, 2111, 471, 324, 330, 14329, 950, 330, 28190, 2201, 54, 370, 11477, 20314, 14935, 330, 833, 20057, 6040, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 31526, 26, 106, 30, 312, 30, 323, 30, 281, 711, 203, 1524, 5064, 2532, 25137, 31945, 44, 14761, 4102, 106, 35786, 16371, 2677, 4102, 83, 35786, 17134, 432, 322, 3100, 31, 1174, 5615, 4102, 84, 35786, 17134, 432, 322, 1932, 31, 1174, 5615, 4102, 85, 35786, 1015, 4823, 8082, 32458, 44, 24618, 4102, 83, 28, 106, 80, 36, 474, 323, 28, 106, 474, 281, 572, 1524, 446, 442, 312, 319, 816, 1115, 225, 36, 474, 323, 319, 816, 474, 281, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 44188, 26, 106, 30, 312, 30, 323, 30, 281, 30, 343, 711, 203, 1524, 24165, 2532, 25137, 31945, 44, 14761, 4102, 106, 35786, 16371, 2677, 4102, 83, 35786, 17134, 432, 322, 10970, 31, 1174, 5615, 4102, 84, 35786, 17134, 432, 322, 3100, 31, 1174, 5615, 4102, 85, 35786, 17134, 432, 322, 1932, 31, 1174, 5615, 4102, 86, 35786, 1015, 4823, 8082, 32458, 44, 24618, 4102, 83, 28, 106, 80, 37, 474, 323, 28, 106, 80, 36, 474, 281, 28, 106, 474, 343, 572, 1524, 446, 442, 312, 319, 816, 1115, 225, 37, 474, 323, 319, 816, 1115, 225, 36, 474, 281, 319, 816, 474, 343, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2662, 5947, 26, 106, 30, 312, 30, 11768, 30, 16355, 711, 203, 1524, 14960, 432, 312, 1245, 31, 4382, 7433, 31945, 44, 14761, 4102, 106, 35786, 16371, 2677, 4102, 83, 35786, 38111, 4102, 6974, 35786, 4193, 3395, 4102, 11756, 35786, 1861, 3395, 32458, 44, 24618, 4102, 83, 33, 308, 36, 28, 1295, 28, 11756, 80, 36, 28, 106, 80, 36, 20963, 34, 32, 39, 319, 2910, 3736, 26, 751, 26, 106, 7824, 6974, 20963, 36, 13824, 36, 28, 11756, 80, 36, 490, 1524, 446, 442, 312, 517, 2065, 32, 8663, 26, 36, 319, 2065, 32, 1295, 319, 16355, 1115, 225, 36, 319, 816, 1115, 225, 36, 27, 319, 78, 291, 2065, 32, 2832, 3736, 26, 2356, 32, 751, 26, 106, 27, 429, 11768, 27, 1115, 225, 36, 517, 308, 36, 319, 16355, 1115, 225, 36, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 81, 1113, 15615, 26, 1366, 1515, 1057, 6418, 33798, 81, 6299, 47, 2521, 711, 203, 1524, 4868, 1169, 45184, 432, 312, 3362, 32, 31945, 44, 1477, 1515, 44, 3362, 372, 1477, 623, 32, 16010, 372, 322, 1550, 4844, 32, 33798, 81, 6299, 44, 1451, 432, 13021, 372, 29046, 32, 1665, 438, 20280, 32, 5582, 44, 312, 1149, 432, 7976, 4467, 432, 1361, 20415, 32, 15950, 44, 588, 432, 330, 1515, 2473, 1524, 446, 1477, 1515, 280, 2322, 32, 983, 32, 8931, 496, 26, 1366, 1515, 27, 284, 3872, 81, 1113, 15615, 280, 428, 500, 32, 983, 32, 2524, 26, 1366, 1515, 30, 816, 27, 436, 816, 328, 2322, 32, 26366, 26, 291, 1477, 1515, 27, 415, 2322, 32, 983, 32, 34103, 26, 500, 32, 983, 32, 2524, 26, 1366, 1515, 30, 816, 12634, 284, 415, 33798, 81, 6299, 438, 1665, 44, 291, 2354, 81, 46329, 81, 6299, 280, 1665, 284, 813, 44, 291, 2354, 81, 46329, 81, 6299, 280, 33798, 81, 6299, 429, 225, 35, 284, 415, 308, 46329, 81, 6299, 438, 646, 1665, 27, 461, 308, 46329, 81, 6299, 2511, 225, 35, 711, 291, 442, 428, 1366, 1515, 79, 474, 3872, 81, 1113, 15615, 284, 813, 44, 291, 1361, 15615, 280, 1605, 291, 436, 343, 328, 3872, 81, 1113, 15615, 44, 324, 1361, 15615, 32, 8233, 26, 1809, 81, 1113, 15615, 26, 86, 30, 2354, 81, 46329, 81, 6299, 490, 291, 442, 428, 1366, 1515, 79, 474, 1361, 15615, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 11000, 81, 6844, 26, 106, 30, 533, 30, 13196, 30, 489, 30, 34368, 14135, 30, 489, 4698, 47, 2521, 30, 14486, 1057, 62, 686, 566, 108, 370, 442, 81, 2072, 283, 47, 2700, 30, 442, 81, 4597, 47, 2700, 711, 203, 1524, 4868, 4609, 3340, 16070, 328, 322, 5890, 2702, 810, 16540, 816, 461, 533, 32, 31116, 884, 27883, 436, 328, 322, 5890, 2154, 322, 489, 4981, 2670, 461, 2685, 1159, 33220, 7216, 2078, 2784, 3026, 32, 2614, 622, 19220, 432, 901, 7528, 11118, 16268, 810, 2022, 674, 103, 993, 30, 34368, 14135, 438, 19711, 32, 2030, 438, 322, 1451, 432, 963, 5453, 4981, 372, 526, 273, 11520, 733, 30, 595, 32, 87, 32, 4981, 544, 322, 2841, 31, 4668, 5209, 432, 322, 26101, 2154, 322, 42195, 28543, 2362, 20797, 556, 544, 322, 2091, 31, 4668, 5209, 2154, 322, 4406, 266, 41137, 28543, 2362, 20797, 32, 701, 32624, 458, 1451, 30, 11510, 13344, 11318, 277, 372, 901, 32117, 4119, 32, 31945, 44, 816, 30, 533, 30, 13196, 44, 16540, 20720, 322, 706, 31, 470, 32, 13196, 883, 526, 1665, 32, 489, 30, 34368, 14135, 44, 322, 3377, 432, 322, 26101, 31, 32129, 23165, 489, 4698, 44, 322, 1451, 432, 4981, 544, 322, 2841, 461, 544, 322, 2091, 432, 322, 26101, 372, 526, 1654, 436, 6225, 36535, 2488, 31165, 432, 322, 26101, 14471, 32, 14486, 44, 322, 827, 432, 322, 14486, 372, 526, 8157, 3251, 372, 322, 3340, 16070, 32, 5477, 526, 330, 62, 686, 566, 108, 25, 556, 330, 18782, 7756, 25, 442 ]
[ 81, 2072, 283, 44, 415, 322, 1399, 545, 47250, 1654, 436, 38330, 438, 372, 526, 4717, 32, 442, 81, 4597, 44, 415, 322, 38330, 14564, 438, 372, 526, 4717, 436, 2504, 26101, 32, 40644, 44, 2747, 30, 420, 1354, 95, 30, 22340, 30, 38111, 30, 308, 2072, 283, 711, 203, 10375, 13907, 44, 11706, 16070, 884, 18891, 2154, 322, 14486, 485, 2138, 489, 4981, 2670, 461, 409, 47114, 489, 4981, 2685, 32, 2704, 1289, 28784, 32306, 34368, 14135, 1631, 14642, 322, 3276, 30, 595, 32, 87, 32, 409, 47114, 322, 225, 36, 28, 64, 3684, 14531, 15261, 32, 1524, 446, 415, 489, 4698, 438, 1665, 44, 291, 489, 4698, 280, 489, 284, 588, 2290, 4981, 2154, 322, 14486, 485, 2138, 436, 489, 4981, 2670, 3026, 461, 284, 588, 409, 47114, 436, 489, 4981, 2685, 3026, 32, 2614, 40762, 458, 30, 996, 1487, 284, 588, 600, 18384, 1417, 432, 322, 2596, 432, 322, 1932, 27640, 32, 284, 22459, 1442, 2937, 280, 2065, 32, 1333, 26, 2356, 32, 4903, 26, 107, 490, 284, 816, 4903, 280, 816, 20129, 35, 79, 225, 588, 29104, 10563, 2078, 372, 322, 7216, 330, 106, 25, 786, 32, 284, 26513, 280, 2065, 32, 16251, 26, 1657, 26, 106, 27, 429, 225, 35, 27, 225, 588, 6573, 10517, 1487, 600, 18384, 284, 588, 1417, 619, 322, 3632, 432, 22459, 1442, 2937, 44754, 2841, 461, 2091, 32, 225, 18957, 600, 284, 588, 1994, 432, 458, 438, 225, 36, 28, 64, 30, 561, 33224, 101, 322, 15261, 3684, 32, 284, 18384, 280, 2065, 32, 9880, 26, 1657, 26, 1872, 1442, 2937, 27, 429, 225, 36, 319, 489, 27, 284, 436, 595, 328, 2155, 26, 36, 319, 489, 711, 291, 18384, 1454, 2065, 32, 1333, 26, 64, 429, 595, 27, 319, 22459, 1442, 2937, 77, 91, 5979, 36, 319, 489, 474, 595, 79, 284, 588, 1015, 322, 2401, 1591, 30, 4558, 322, 28029, 438, 3449, 308, 40003, 526, 284, 588, 428, 36, 28, 64, 44, 34, 614, 1510, 438, 646, 2769, 996, 2637, 27, 284, 18384, 1454, 429, 1872, 1442, 2937, 77, 36, 319, 489, 10056, 284, 588, 2290, 322, 14471, 308, 7711, 27, 432, 322, 26101, 32, 886, 6523, 15261, 438, 284, 588, 41972, 318, 29821, 810, 1471, 322, 34368, 14135, 786, 32, 5830, 322, 793, 432, 284, 588, 225, 36, 28, 28119, 14135, 30, 4558, 2504, 963, 5453, 2260, 9585, 3134, 963, 20082, 328, 284, 588, 22459, 1442, 2937, 7197, 35, 1440, 318, 432, 474, 35, 461, 41131, 12438, 83, 547, 284, 26101, 843, 419, 782, 280, 26513, 77, 64, 5979, 64, 1674, 18354, 2377, 225, 36, 319, 489, 429, 225, 36, 319, 34368, 14135, 79, 284, 225, 411, 774, 280, 533, 77, 11000, 843, 419, 782, 79, 284, 588, 9080, 2488, 482, 322, 2431, 14471, 810, 6225, 31, 41542, 38330, 32, 7141, 284, 588, 1932, 996, 1159, 372, 3844, 963, 1604, 2979, 31, 48887, 30, 595, 32, 87, 32, 2431, 4981, 284, 588, 1510, 1159, 1604, 2431, 4981, 623, 12224, 2078, 328, 3623, 9650, 64, 30, 64, 79, 284, 588, 43574, 12313, 32, 284, 3400, 280, 4312, 17501, 94, 280, 4312, 420, 1354, 95, 280, 4312, 22340, 280, 4312, 816, 4698, 280, 4312, 6314, 280, 1605, 284, 13196, 35, 280, 1665, 284, 436, 595, 328, 2155, 26, 1657, 26, 411, 774, 8531, 291, 415, 646, 428, 92, 436, 594, 328, 1149, 26, 3585, 26, 91, 474, 225, 35, 30, 2069, 26, 411, 774, 2610, 474, 1149, 26, 3585, 26, 34, 30, 595, 490, 415, 11366, 26, 11000, 843, 419, 782, 77, 92, 79, 429, 26101, 843, 419, 782, 77, 91, 1130, 2511, 489, 461, 225, 411, 774, 77, 91, 79, 333, 225, 411, 774, 77, 92, 33504, 324, 588, 1755, 11883, 1769, 10510, 32, 324, 5417, 280, 26101, 843, 419, 782, 77, 91, 79, 324, 415, 13196, 438, 646, 1665, 44, 400, 13196, 35, 280, 13196, 9357, 2875, 429, 489, 4698, 711, 26, 2875, 474, 489, 4698, 474, 225, 35, 2177, 324, 816, 4698, 81, 280, 816, 9357, 2875, 429, 489, 4698, 711, 26, 2875, 474, 489, 4698, 474, 225, 35, 2177, 324, 3400, 3739, 420, 1354, 95, 3739, 22340, 3739, 17501, 94, 3739, 6314, 81, 280, 2290, 11000, 81, 6270, 26, 2072, 283, 3739, 533, 9357, 2875, 429, 489, 4698, 711, 26, 2875, 474, 489, 4698, 474, 225, 35, 14155, 13196, 35, 30, 2747, 47, 106, 77, 2875, 614, 442, 81, 4597, 47, 1815, 27, 6428, 6314, 32, 1689, 26, 4597, 7912, 324, 816, 4698, 32, 1689, 26, 2072, 283, 7912, 324, 3400, 32, 1689, 26, 966, 7912, 324, 17501, 94, 32, 1689, 26, 757, 94, 7912, 324, 420, 1354, 95, 32, 1689, 26, 90, 1354, 95, 7912, 324, 22340, 32, 1689, 26, 23469, 7912, 284, 3276, 280, 428, 966, 30, 420, 1354, 95, 30, 22340, 30, 17501, 94, 79, 284, 415, 442, 81, 2072, 283, 44, 291, 3276, 32, 1689, 26, 2072, 283, 27, 284, 415, 442, 81, 4597, 44, 291, 3276, 32, 1689, 26, 4597, 27, 284, 442, 8825, 26, 4295, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1491, 2285, 26, 3607, 30, 1491, 81, 6979, 47, 2521, 711, 203, 1524, 2961, 312, 37684, 803, 461, 1491, 2819, 1795, 31945, 44, 4870, 44, 802, 322, 803, 372, 2156, 1491, 81, 6979, 44, 1665, 30, 330, 464, 25, 556, 4991, 322, 1650, 432, 8971, 372, 526, 1491, 645, 322, 803, 32, 1670, 1665, 30, 1289, 8971, 1395, 526, 1491, 32, 1670, 330, 464, 370, 1169, 46629, 1395, 526, 1491, 32, 1670, 312, 1451, 30, 2258, 322, 8971, 623, 688, 1451, 1395, 526, 1491, 32, 5582, 44, 322, 706, 328, 322, 1374, 803, 328, 312, 5436, 32, 1524, 446, 623, 2156, 26, 3607, 30, 330, 2051, 683, 619, 296, 44, 291, 14841, 280, 5053, 20529, 1734, 950, 5518, 330, 1449, 545, 1020, 859, 950, 225, 34, 111, 291, 14841, 710, 7318, 3607, 785, 280, 4870, 291, 2401, 545, 1020, 859, 280, 1665, 291, 2218, 2933, 44, 324, 456 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 81, 2072, 283, 44, 415, 322, 1399, 545, 47250, 1654, 436, 38330, 438, 372, 526, 4717, 32, 442, 81, 4597, 44, 415, 322, 38330, 14564, 438, 372, 526, 4717, 436, 2504, 26101, 32, 40644, 44, 2747, 30, 420, 1354, 95, 30, 22340, 30, 38111, 30, 308, 2072, 283, 711, 203, 10375, 13907, 44, 11706, 16070, 884, 18891, 2154, 322, 14486, 485, 2138, 489, 4981, 2670, 461, 409, 47114, 489, 4981, 2685, 32, 2704, 1289, 28784, 32306, 34368, 14135, 1631, 14642, 322, 3276, 30, 595, 32, 87, 32, 409, 47114, 322, 225, 36, 28, 64, 3684, 14531, 15261, 32, 1524, 446, 415, 489, 4698, 438, 1665, 44, 291, 489, 4698, 280, 489, 284, 588, 2290, 4981, 2154, 322, 14486, 485, 2138, 436, 489, 4981, 2670, 3026, 461, 284, 588, 409, 47114, 436, 489, 4981, 2685, 3026, 32, 2614, 40762, 458, 30, 996, 1487, 284, 588, 600, 18384, 1417, 432, 322, 2596, 432, 322, 1932, 27640, 32, 284, 22459, 1442, 2937, 280, 2065, 32, 1333, 26, 2356, 32, 4903, 26, 107, 490, 284, 816, 4903, 280, 816, 20129, 35, 79, 225, 588, 29104, 10563, 2078, 372, 322, 7216, 330, 106, 25, 786, 32, 284, 26513, 280, 2065, 32, 16251, 26, 1657, 26, 106, 27, 429, 225, 35, 27, 225, 588, 6573, 10517, 1487, 600, 18384, 284, 588, 1417, 619, 322, 3632, 432, 22459, 1442, 2937, 44754, 2841, 461, 2091, 32, 225, 18957, 600, 284, 588, 1994, 432, 458, 438, 225, 36, 28, 64, 30, 561, 33224, 101, 322, 15261, 3684, 32, 284, 18384, 280, 2065, 32, 9880, 26, 1657, 26, 1872, 1442, 2937, 27, 429, 225, 36, 319, 489, 27, 284, 436, 595, 328, 2155, 26, 36, 319, 489, 711, 291, 18384, 1454, 2065, 32, 1333, 26, 64, 429, 595, 27, 319, 22459, 1442, 2937, 77, 91, 5979, 36, 319, 489, 474, 595, 79, 284, 588, 1015, 322, 2401, 1591, 30, 4558, 322, 28029, 438, 3449, 308, 40003, 526, 284, 588, 428, 36, 28, 64, 44, 34, 614, 1510, 438, 646, 2769, 996, 2637, 27, 284, 18384, 1454, 429, 1872, 1442, 2937, 77, 36, 319, 489, 10056, 284, 588, 2290, 322, 14471, 308, 7711, 27, 432, 322, 26101, 32, 886, 6523, 15261, 438, 284, 588, 41972, 318, 29821, 810, 1471, 322, 34368, 14135, 786, 32, 5830, 322, 793, 432, 284, 588, 225, 36, 28, 28119, 14135, 30, 4558, 2504, 963, 5453, 2260, 9585, 3134, 963, 20082, 328, 284, 588, 22459, 1442, 2937, 7197, 35, 1440, 318, 432, 474, 35, 461, 41131, 12438, 83, 547, 284, 26101, 843, 419, 782, 280, 26513, 77, 64, 5979, 64, 1674, 18354, 2377, 225, 36, 319, 489, 429, 225, 36, 319, 34368, 14135, 79, 284, 225, 411, 774, 280, 533, 77, 11000, 843, 419, 782, 79, 284, 588, 9080, 2488, 482, 322, 2431, 14471, 810, 6225, 31, 41542, 38330, 32, 7141, 284, 588, 1932, 996, 1159, 372, 3844, 963, 1604, 2979, 31, 48887, 30, 595, 32, 87, 32, 2431, 4981, 284, 588, 1510, 1159, 1604, 2431, 4981, 623, 12224, 2078, 328, 3623, 9650, 64, 30, 64, 79, 284, 588, 43574, 12313, 32, 284, 3400, 280, 4312, 17501, 94, 280, 4312, 420, 1354, 95, 280, 4312, 22340, 280, 4312, 816, 4698, 280, 4312, 6314, 280, 1605, 284, 13196, 35, 280, 1665, 284, 436, 595, 328, 2155, 26, 1657, 26, 411, 774, 8531, 291, 415, 646, 428, 92, 436, 594, 328, 1149, 26, 3585, 26, 91, 474, 225, 35, 30, 2069, 26, 411, 774, 2610, 474, 1149, 26, 3585, 26, 34, 30, 595, 490, 415, 11366, 26, 11000, 843, 419, 782, 77, 92, 79, 429, 26101, 843, 419, 782, 77, 91, 1130, 2511, 489, 461, 225, 411, 774, 77, 91, 79, 333, 225, 411, 774, 77, 92, 33504, 324, 588, 1755, 11883, 1769, 10510, 32, 324, 5417, 280, 26101, 843, 419, 782, 77, 91, 79, 324, 415, 13196, 438, 646, 1665, 44, 400, 13196, 35, 280, 13196, 9357, 2875, 429, 489, 4698, 711, 26, 2875, 474, 489, 4698, 474, 225, 35, 2177, 324, 816, 4698, 81, 280, 816, 9357, 2875, 429, 489, 4698, 711, 26, 2875, 474, 489, 4698, 474, 225, 35, 2177, 324, 3400, 3739, 420, 1354, 95, 3739, 22340, 3739, 17501, 94, 3739, 6314, 81, 280, 2290, 11000, 81, 6270, 26, 2072, 283, 3739, 533, 9357, 2875, 429, 489, 4698, 711, 26, 2875, 474, 489, 4698, 474, 225, 35, 14155, 13196, 35, 30, 2747, 47, 106, 77, 2875, 614, 442, 81, 4597, 47, 1815, 27, 6428, 6314, 32, 1689, 26, 4597, 7912, 324, 816, 4698, 32, 1689, 26, 2072, 283, 7912, 324, 3400, 32, 1689, 26, 966, 7912, 324, 17501, 94, 32, 1689, 26, 757, 94, 7912, 324, 420, 1354, 95, 32, 1689, 26, 90, 1354, 95, 7912, 324, 22340, 32, 1689, 26, 23469, 7912, 284, 3276, 280, 428, 966, 30, 420, 1354, 95, 30, 22340, 30, 17501, 94, 79, 284, 415, 442, 81, 2072, 283, 44, 291, 3276, 32, 1689, 26, 2072, 283, 27, 284, 415, 442, 81, 4597, 44, 291, 3276, 32, 1689, 26, 4597, 27, 284, 442, 8825, 26, 4295, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1491, 2285, 26, 3607, 30, 1491, 81, 6979, 47, 2521, 711, 203, 1524, 2961, 312, 37684, 803, 461, 1491, 2819, 1795, 31945, 44, 4870, 44, 802, 322, 803, 372, 2156, 1491, 81, 6979, 44, 1665, 30, 330, 464, 25, 556, 4991, 322, 1650, 432, 8971, 372, 526, 1491, 645, 322, 803, 32, 1670, 1665, 30, 1289, 8971, 1395, 526, 1491, 32, 1670, 330, 464, 370, 1169, 46629, 1395, 526, 1491, 32, 1670, 312, 1451, 30, 2258, 322, 8971, 623, 688, 1451, 1395, 526, 1491, 32, 5582, 44, 322, 706, 328, 322, 1374, 803, 328, 312, 5436, 32, 1524, 446, 623, 2156, 26, 3607, 30, 330, 2051, 683, 619, 296, 44, 291, 14841, 280, 5053, 20529, 1734, 950, 5518, 330, 1449, 545, 1020, 859, 950, 225, 34, 111, 291, 14841, 710, 7318, 3607, 785, 280, 4870, 291, 2401, 545, 1020, 859, 280, 1665, 291, 2218, 2933, 44, 324, 456 ]
[ 280, 296, 32, 25637, 346, 324, 415, 456, 32, 15990, 3609, 56, 7831, 400, 14841, 710, 3607, 785, 280, 456, 77, 36, 44, 997, 7201, 346, 324, 4348, 456, 32, 15990, 3609, 55, 7831, 400, 14841, 710, 8836, 785, 280, 629, 26, 94, 77, 36, 44, 997, 7201, 1157, 400, 14841, 710, 6665, 785, 280, 7138, 32, 6665, 32, 1070, 5561, 26, 6449, 710, 8836, 3490, 324, 4348, 456, 32, 15990, 3609, 54, 7831, 400, 14841, 710, 770, 800, 785, 280, 456, 77, 36, 44, 997, 7201, 346, 324, 4348, 456, 32, 15990, 3609, 53, 7831, 400, 14841, 710, 3647, 785, 280, 456, 77, 36, 44, 997, 7201, 346, 324, 4348, 456, 32, 15990, 3609, 65, 7831, 400, 1596, 44, 528, 456, 280, 456, 32, 2998, 26, 2521, 30, 225, 35, 5594, 35, 79, 400, 2940, 44121, 44, 528, 4036, 400, 415, 330, 20529, 1734, 25, 646, 328, 1149, 26, 6449, 32, 3494, 22805, 528, 14841, 710, 20529, 1734, 785, 280, 1605, 400, 14841, 710, 20529, 1734, 5695, 8233, 2009, 106, 32, 7201, 346, 436, 816, 328, 456, 32, 2998, 463, 225, 11134, 1130, 324, 4348, 646, 456, 32, 7201, 2262, 400, 588, 3502, 1628, 30, 2596, 6856, 322, 943, 432, 322, 3338, 1742, 32, 886, 2354, 400, 588, 1628, 1098, 526, 312, 8971, 32, 400, 1626, 291, 14841, 710, 545, 693, 785, 280, 2149, 291, 415, 1491, 81, 6979, 438, 646, 1665, 44, 324, 415, 1491, 81, 6979, 610, 330, 464, 950, 400, 21494, 280, 1665, 324, 813, 44, 400, 21494, 280, 1491, 81, 6979, 324, 1596, 44, 400, 2218, 2933, 44, 528, 309, 280, 1491, 2285, 6979, 26, 88, 30, 21494, 27, 528, 415, 6937, 26, 101, 30, 5436, 711, 715, 14841, 710, 545, 693, 8150, 101, 710, 2171, 18038, 280, 309, 715, 415, 21494, 438, 646, 1665, 44, 1014, 1626, 715, 14841, 710, 1449, 545, 1020, 859, 785, 280, 1769, 26, 1014, 14841, 710, 1449, 545, 1020, 859, 2188, 309, 710, 2171, 3490, 528, 4348, 309, 438, 646, 1665, 44, 715, 14841, 710, 1449, 545, 1020, 859, 785, 280, 1769, 26, 6449, 710, 1449, 545, 1020, 859, 2188, 309, 27, 324, 2940, 6577, 974, 9471, 44, 400, 3097, 291, 813, 44, 324, 2218, 2933, 44, 400, 456, 280, 296, 32, 25637, 346, 400, 415, 646, 456, 44, 528, 1626, 400, 415, 456, 32, 15990, 3609, 69, 7831, 528, 310, 280, 629, 26, 94, 77, 36, 44, 997, 2998, 8532, 34, 1130, 528, 14841, 710, 1449, 545, 1020, 859, 785, 280, 1769, 26, 6449, 710, 1449, 545, 1020, 859, 2188, 310, 27, 291, 436, 310, 328, 14841, 710, 545, 693, 12132, 324, 309, 280, 14841, 710, 545, 693, 8150, 96, 79, 324, 309, 710, 20529, 1734, 785, 280, 14841, 710, 20529, 1734, 785, 324, 415, 330, 3647, 25, 646, 328, 309, 44, 400, 309, 710, 3647, 785, 280, 14841, 710, 3647, 785, 324, 415, 330, 16737, 25, 646, 328, 309, 44, 400, 309, 710, 16737, 785, 280, 428, 2521, 79, 319, 2069, 26, 6449, 710, 20529, 1734, 3490, 284, 442, 14841, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 13065, 26, 784, 27, 967, 3081, 882, 44, 1524, 74, 31, 11528, 13065, 2993, 584, 442, 308, 924, 882, 33381, 36568, 32, 9777, 32, 18960, 81, 9777, 710, 7670, 432, 6147, 328, 29164, 37611, 8150, 34, 403, 36, 5259, 319, 400, 3081, 882, 33381, 36568, 32, 9777, 32, 18960, 81, 9777, 710, 7926, 454, 8082, 328, 484, 72, 309, 8150, 34, 403, 36, 5259, 517, 400, 18414, 32, 9777, 32, 27377, 517, 400, 630, 32, 105, 29055, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 13201, 81, 31566, 26, 605, 30, 5941, 711, 203, 1524, 4868, 25203, 4193, 623, 322, 313, 31566, 20, 1411, 31945, 44, 706, 44, 26703, 299, 1778, 5941, 44, 5941, 5045, 5582, 44, 312, 4026, 432, 3104, 225, 36, 623, 322, 816, 308, 643, 27, 461, 533, 308, 2592, 27, 10517, 432, 322, 7382, 30, 8049, 645, 225, 35, 1524, 446, 588, 436, 2504, 2698, 461, 2623, 2290, 322, 4193, 432, 37311, 284, 706, 35, 280, 706, 32, 2991, 346, 225, 588, 4818, 312, 1933, 30, 3301, 4702, 1098, 526, 273, 47763, 318, 623, 284, 706, 35, 77, 3965, 610, 225, 34, 79, 280, 225, 34, 225, 588, 739, 35665, 4702, 372, 5934, 284, 588, 4026, 432, 816, 308, 643, 27, 10517, 284, 816, 280, 2065, 32, 16251, 26, 605, 35, 32, 3229, 77, 34, 1130, 284, 588, 4026, 432, 533, 308, 2592, 27, 10517, 284, 533, 280, 2065, 32, 16251, 26, 605, 35, 32, 3229, 77, 35, 1130, 284, 588, 3134, 2623, 16540, 30, 4335, 6621, 11668, 32, 886, 3104, 432, 544, 327, 461, 284, 588, 544, 910, 20809, 372, 3104, 432, 816, 461, 533, 30, 22781, 32, 284, 544, 327, 280, 2065, 32, 5783, 81, 6228, 26, 106, 27, 284, 544, 910, 280, 2065, 32, 5783, 81, 6228, 26, 107, 27, 284, 588, 44155, 322, 5045, 623, 816, 32, 11072, 1994, 432, 322, 14302, 2623, 284, 588, 4026, 1098, 4799, 322, 4193, 432, 37311, 432, 322, 8435, 2698, 284, 588, 328, 322, 5045, 30, 12044, 3032, 810, 322, 313, 3292, 2296, 23156, 44, 37705, 81, 91, 47, 1036, 81, 92, 26, 399, 81, 5793, 284, 588, 319, 816, 81, 92, 547, 1670, 996, 24910, 458, 810, 38483, 106, 81, 91, 47, 1036, 81, 92, 26, 51, 81, 5793, 471, 1615, 996, 622, 322, 284, 588, 4193, 432, 37311, 32, 886, 3104, 432, 458, 2623, 4026, 438, 2069, 26, 107, 547, 284, 37705, 280, 2065, 32, 4260, 26, 106, 30, 706, 35, 27, 284, 38483, 106, 280, 2065, 32, 4260, 26, 267, 327, 30, 706, 35, 27, 284, 588, 10193, 2154, 4335, 37705, 461, 38483, 106, 438, 2979, 6158, 32, 284, 4644, 106, 280, 1833, 11376, 863, 225, 34, 27, 549, 308, 35354, 106, 863, 225, 34, 490 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 280, 296, 32, 25637, 346, 324, 415, 456, 32, 15990, 3609, 56, 7831, 400, 14841, 710, 3607, 785, 280, 456, 77, 36, 44, 997, 7201, 346, 324, 4348, 456, 32, 15990, 3609, 55, 7831, 400, 14841, 710, 8836, 785, 280, 629, 26, 94, 77, 36, 44, 997, 7201, 1157, 400, 14841, 710, 6665, 785, 280, 7138, 32, 6665, 32, 1070, 5561, 26, 6449, 710, 8836, 3490, 324, 4348, 456, 32, 15990, 3609, 54, 7831, 400, 14841, 710, 770, 800, 785, 280, 456, 77, 36, 44, 997, 7201, 346, 324, 4348, 456, 32, 15990, 3609, 53, 7831, 400, 14841, 710, 3647, 785, 280, 456, 77, 36, 44, 997, 7201, 346, 324, 4348, 456, 32, 15990, 3609, 65, 7831, 400, 1596, 44, 528, 456, 280, 456, 32, 2998, 26, 2521, 30, 225, 35, 5594, 35, 79, 400, 2940, 44121, 44, 528, 4036, 400, 415, 330, 20529, 1734, 25, 646, 328, 1149, 26, 6449, 32, 3494, 22805, 528, 14841, 710, 20529, 1734, 785, 280, 1605, 400, 14841, 710, 20529, 1734, 5695, 8233, 2009, 106, 32, 7201, 346, 436, 816, 328, 456, 32, 2998, 463, 225, 11134, 1130, 324, 4348, 646, 456, 32, 7201, 2262, 400, 588, 3502, 1628, 30, 2596, 6856, 322, 943, 432, 322, 3338, 1742, 32, 886, 2354, 400, 588, 1628, 1098, 526, 312, 8971, 32, 400, 1626, 291, 14841, 710, 545, 693, 785, 280, 2149, 291, 415, 1491, 81, 6979, 438, 646, 1665, 44, 324, 415, 1491, 81, 6979, 610, 330, 464, 950, 400, 21494, 280, 1665, 324, 813, 44, 400, 21494, 280, 1491, 81, 6979, 324, 1596, 44, 400, 2218, 2933, 44, 528, 309, 280, 1491, 2285, 6979, 26, 88, 30, 21494, 27, 528, 415, 6937, 26, 101, 30, 5436, 711, 715, 14841, 710, 545, 693, 8150, 101, 710, 2171, 18038, 280, 309, 715, 415, 21494, 438, 646, 1665, 44, 1014, 1626, 715, 14841, 710, 1449, 545, 1020, 859, 785, 280, 1769, 26, 1014, 14841, 710, 1449, 545, 1020, 859, 2188, 309, 710, 2171, 3490, 528, 4348, 309, 438, 646, 1665, 44, 715, 14841, 710, 1449, 545, 1020, 859, 785, 280, 1769, 26, 6449, 710, 1449, 545, 1020, 859, 2188, 309, 27, 324, 2940, 6577, 974, 9471, 44, 400, 3097, 291, 813, 44, 324, 2218, 2933, 44, 400, 456, 280, 296, 32, 25637, 346, 400, 415, 646, 456, 44, 528, 1626, 400, 415, 456, 32, 15990, 3609, 69, 7831, 528, 310, 280, 629, 26, 94, 77, 36, 44, 997, 2998, 8532, 34, 1130, 528, 14841, 710, 1449, 545, 1020, 859, 785, 280, 1769, 26, 6449, 710, 1449, 545, 1020, 859, 2188, 310, 27, 291, 436, 310, 328, 14841, 710, 545, 693, 12132, 324, 309, 280, 14841, 710, 545, 693, 8150, 96, 79, 324, 309, 710, 20529, 1734, 785, 280, 14841, 710, 20529, 1734, 785, 324, 415, 330, 3647, 25, 646, 328, 309, 44, 400, 309, 710, 3647, 785, 280, 14841, 710, 3647, 785, 324, 415, 330, 16737, 25, 646, 328, 309, 44, 400, 309, 710, 16737, 785, 280, 428, 2521, 79, 319, 2069, 26, 6449, 710, 20529, 1734, 3490, 284, 442, 14841, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 13065, 26, 784, 27, 967, 3081, 882, 44, 1524, 74, 31, 11528, 13065, 2993, 584, 442, 308, 924, 882, 33381, 36568, 32, 9777, 32, 18960, 81, 9777, 710, 7670, 432, 6147, 328, 29164, 37611, 8150, 34, 403, 36, 5259, 319, 400, 3081, 882, 33381, 36568, 32, 9777, 32, 18960, 81, 9777, 710, 7926, 454, 8082, 328, 484, 72, 309, 8150, 34, 403, 36, 5259, 517, 400, 18414, 32, 9777, 32, 27377, 517, 400, 630, 32, 105, 29055, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 13201, 81, 31566, 26, 605, 30, 5941, 711, 203, 1524, 4868, 25203, 4193, 623, 322, 313, 31566, 20, 1411, 31945, 44, 706, 44, 26703, 299, 1778, 5941, 44, 5941, 5045, 5582, 44, 312, 4026, 432, 3104, 225, 36, 623, 322, 816, 308, 643, 27, 461, 533, 308, 2592, 27, 10517, 432, 322, 7382, 30, 8049, 645, 225, 35, 1524, 446, 588, 436, 2504, 2698, 461, 2623, 2290, 322, 4193, 432, 37311, 284, 706, 35, 280, 706, 32, 2991, 346, 225, 588, 4818, 312, 1933, 30, 3301, 4702, 1098, 526, 273, 47763, 318, 623, 284, 706, 35, 77, 3965, 610, 225, 34, 79, 280, 225, 34, 225, 588, 739, 35665, 4702, 372, 5934, 284, 588, 4026, 432, 816, 308, 643, 27, 10517, 284, 816, 280, 2065, 32, 16251, 26, 605, 35, 32, 3229, 77, 34, 1130, 284, 588, 4026, 432, 533, 308, 2592, 27, 10517, 284, 533, 280, 2065, 32, 16251, 26, 605, 35, 32, 3229, 77, 35, 1130, 284, 588, 3134, 2623, 16540, 30, 4335, 6621, 11668, 32, 886, 3104, 432, 544, 327, 461, 284, 588, 544, 910, 20809, 372, 3104, 432, 816, 461, 533, 30, 22781, 32, 284, 544, 327, 280, 2065, 32, 5783, 81, 6228, 26, 106, 27, 284, 544, 910, 280, 2065, 32, 5783, 81, 6228, 26, 107, 27, 284, 588, 44155, 322, 5045, 623, 816, 32, 11072, 1994, 432, 322, 14302, 2623, 284, 588, 4026, 1098, 4799, 322, 4193, 432, 37311, 432, 322, 8435, 2698, 284, 588, 328, 322, 5045, 30, 12044, 3032, 810, 322, 313, 3292, 2296, 23156, 44, 37705, 81, 91, 47, 1036, 81, 92, 26, 399, 81, 5793, 284, 588, 319, 816, 81, 92, 547, 1670, 996, 24910, 458, 810, 38483, 106, 81, 91, 47, 1036, 81, 92, 26, 51, 81, 5793, 471, 1615, 996, 622, 322, 284, 588, 4193, 432, 37311, 32, 886, 3104, 432, 458, 2623, 4026, 438, 2069, 26, 107, 547, 284, 37705, 280, 2065, 32, 4260, 26, 106, 30, 706, 35, 27, 284, 38483, 106, 280, 2065, 32, 4260, 26, 267, 327, 30, 706, 35, 27, 284, 588, 10193, 2154, 4335, 37705, 461, 38483, 106, 438, 2979, 6158, 32, 284, 4644, 106, 280, 1833, 11376, 863, 225, 34, 27, 549, 308, 35354, 106, 863, 225, 34, 490 ]
[ 284, 588, 11760, 533, 30, 37705, 461, 38483, 106, 810, 4644, 106, 30, 40533, 5535, 4981, 32, 284, 37705, 280, 37705, 77, 7127, 106, 79, 284, 38483, 106, 280, 38483, 106, 77, 7127, 106, 79, 446, 588, 2464, 745, 322, 2432, 436, 322, 2623, 6983, 32, 284, 310, 16102, 280, 2065, 32, 4260, 26, 605, 35, 30, 533, 27, 284, 38483, 107, 280, 2065, 32, 4260, 26, 605, 35, 30, 544, 910, 27, 284, 1983, 1084, 280, 1833, 5161, 107, 863, 225, 34, 27, 549, 308, 35354, 107, 863, 225, 34, 490, 284, 310, 16102, 280, 310, 16102, 77, 1704, 1084, 79, 284, 38483, 107, 280, 38483, 107, 77, 1704, 1084, 79, 284, 588, 2623, 12651, 432, 322, 4193, 328, 2504, 2698, 1098, 526, 14549, 328, 284, 588, 533, 2460, 30, 322, 2698, 12651, 432, 322, 4193, 328, 2504, 2623, 1098, 526, 284, 588, 328, 816, 2460, 32, 284, 533, 2460, 280, 37705, 517, 38483, 106, 284, 816, 2460, 280, 310, 16102, 517, 38483, 107, 284, 588, 442, 322, 5651, 2078, 619, 322, 40962, 32, 284, 442, 428, 106, 2460, 32, 6009, 1026, 533, 2460, 32, 6009, 7662, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 13201, 81, 38418, 26, 605, 30, 3218, 81, 4332, 30, 5941, 47, 2521, 30, 1769, 1731, 47, 34, 30, 15376, 3499, 96, 47, 34, 32, 34, 34, 35, 30, 343, 887, 47, 34, 30, 343, 1449, 47, 2356, 32, 5267, 30, 25139, 81, 1644, 47, 2356, 32, 1295, 517, 225, 43, 32, 34, 30, 21179, 47, 35, 34, 30, 3309, 47, 2521, 711, 203, 1524, 4868, 25203, 4193, 623, 322, 313, 38418, 20, 1411, 31945, 44, 706, 44, 26703, 299, 5045, 3218, 81, 4332, 44, 28625, 786, 436, 816, 308, 643, 27, 461, 533, 308, 2592, 27, 10517, 432, 322, 25203, 4193, 30, 8049, 645, 225, 35, 32, 5941, 44, 5941, 5045, 32, 1670, 1665, 30, 7553, 1098, 526, 35665, 32, 12779, 561, 1395, 526, 432, 322, 2432, 1334, 619, 706, 32, 12495, 6158, 6058, 2979, 31, 29634, 32, 1769, 1731, 44, 7091, 1451, 432, 17576, 436, 18414, 32, 22926, 32, 27977, 5664, 15376, 3499, 96, 44, 1509, 436, 18414, 32, 22926, 32, 27977, 5664, 343, 887, 44, 1214, 1582, 704, 10862, 1168, 8970, 372, 322, 7382, 2784, 458, 343, 1449, 44, 1214, 1582, 704, 10862, 9019, 968, 645, 322, 7382, 2784, 458, 25139, 81, 1644, 44, 1861, 432, 29064, 1734, 328, 35538, 21179, 44, 42496, 7291, 432, 322, 1550, 461, 322, 4011, 7382, 328, 10862, 32, 37327, 3857, 312, 786, 7410, 322, 38330, 10023, 707, 10938, 32, 37327, 7461, 312, 786, 1957, 646, 8263, 372, 5169, 12008, 322, 1550, 7382, 32, 3309, 44, 3309, 667, 308, 24552, 1289, 4209, 27, 5582, 44, 312, 4026, 432, 3104, 225, 36, 623, 322, 816, 308, 643, 27, 461, 533, 308, 2592, 27, 10517, 432, 322, 7382, 32, 1524, 446, 415, 5941, 438, 1665, 44, 291, 5941, 280, 2065, 32, 5783, 26, 605, 32, 3229, 27, 284, 706, 280, 706, 32, 15315, 26, 2356, 32, 2627, 27, 446, 665, 1760, 1298, 26, 3831, 30, 706, 30, 5941, 30, 3218, 81, 3831, 30, 3309, 711, 291, 588, 26697, 12074, 29064, 1734, 291, 439, 280, 428, 2521, 79, 319, 225, 38, 291, 298, 30, 701, 1421, 30, 399, 280, 5865, 410, 81, 96, 18026, 26, 605, 30, 1665, 30, 429, 35, 30, 429, 35, 30, 429, 35, 30, 3218, 77, 34, 79, 474, 3218, 81, 3831, 77, 34, 614, 3218, 77, 35, 79, 474, 3218, 81, 3831, 77, 35, 614, 5941, 47, 3965, 30, 1891, 18316, 34, 47, 2356, 32, 1295, 517, 225, 38, 429, 225, 34, 32, 39, 319, 25139, 81, 1644, 30, 343, 8941, 47, 18026, 81, 1644, 30, 1891, 489, 18026, 47, 38, 27, 291, 1847, 14820, 280, 1769, 26, 1449, 26, 98, 32, 887, 26, 34, 547, 25880, 6182, 343, 887, 27, 291, 1769, 14820, 280, 1847, 26, 887, 26, 98, 32, 1449, 26, 34, 547, 25880, 6182, 343, 1449, 27, 291, 415, 308, 1449, 14820, 333, 1847, 14820, 711, 324, 3636, 10091, 463, 1318, 12074, 35108, 745, 646, 18714, 19, 5294, 7624, 312, 78, 203, 6085, 39431, 436, 322, 7382, 556, 793, 4674, 4193, 299, 1411, 11834, 291, 436, 595, 328, 2155, 26, 38, 711, 324, 439, 77, 91, 79, 280, 701, 1421, 6894, 595, 1674, 26, 98, 6894, 595, 79, 2377, 1847, 14820, 27, 549, 308, 98, 6894, 595, 79, 2511, 1769, 14820, 2177, 291, 2152, 280, 1833, 59, 77, 34, 79, 429, 439, 77, 36, 1130, 1115, 225, 36, 474, 308, 59, 77, 35, 79, 429, 439, 77, 37, 1130, 1115, 225, 36, 27, 517, 308, 1449, 14820, 429, 1847, 14820, 27, 291, 415, 3309, 438, 646, 1665, 44, 324, 3309, 346, 291, 442, 2152, 284, 3218, 280, 18414, 32, 22926, 32, 27977, 5664, 26, 1977, 1298, 30, 2065, 32, 955, 2009, 21357, 30, 21179, 5727, 6619, 2181, 4310, 605, 30, 225, 35, 429, 5941, 32, 15315, 26, 2356, 32, 1774, 42, 471, 2476, 2065, 32, 955, 26, 3831, 81, 4332, 27, 429, 21179, 30, 3309, 471, 6619, 1769, 1225, 104, 47, 1449, 1731, 30, 15376, 3499, 96, 47, 34, 32, 34, 35, 27, 284, 442, 3218, 77, 34, 79, 474, 2065, 32, 955, 26, 3831, 81, 4332, 27, 429, 21179, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 13201, 81, 1373, 36201, 279, 26, 605, 30, 3218, 81, 4332, 30, 5941, 47, 2521, 30, 1769, 1731, 47, 35, 34, 34, 30, 489, 10753, 47, 39, 34, 30, 343, 887, 47, 34, 30, 343, 1449, 47, 2356, 32, 5267, 30, 21179, 47, 35, 34, 30, 3309, 47, 2521, 711, 203, 1524, 4868, 25203, 4193, 1471, 10166, 36201, 279, 10516, 31945, 44, 706, 44, 26703, 299, 5045, 3218, 81, 4332, 44, 28625, 786, 436, 816, 308, 643, 27, 461, 533, 308, 2592, 27, 10517, 432, 322, 25203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 284, 588, 11760, 533, 30, 37705, 461, 38483, 106, 810, 4644, 106, 30, 40533, 5535, 4981, 32, 284, 37705, 280, 37705, 77, 7127, 106, 79, 284, 38483, 106, 280, 38483, 106, 77, 7127, 106, 79, 446, 588, 2464, 745, 322, 2432, 436, 322, 2623, 6983, 32, 284, 310, 16102, 280, 2065, 32, 4260, 26, 605, 35, 30, 533, 27, 284, 38483, 107, 280, 2065, 32, 4260, 26, 605, 35, 30, 544, 910, 27, 284, 1983, 1084, 280, 1833, 5161, 107, 863, 225, 34, 27, 549, 308, 35354, 107, 863, 225, 34, 490, 284, 310, 16102, 280, 310, 16102, 77, 1704, 1084, 79, 284, 38483, 107, 280, 38483, 107, 77, 1704, 1084, 79, 284, 588, 2623, 12651, 432, 322, 4193, 328, 2504, 2698, 1098, 526, 14549, 328, 284, 588, 533, 2460, 30, 322, 2698, 12651, 432, 322, 4193, 328, 2504, 2623, 1098, 526, 284, 588, 328, 816, 2460, 32, 284, 533, 2460, 280, 37705, 517, 38483, 106, 284, 816, 2460, 280, 310, 16102, 517, 38483, 107, 284, 588, 442, 322, 5651, 2078, 619, 322, 40962, 32, 284, 442, 428, 106, 2460, 32, 6009, 1026, 533, 2460, 32, 6009, 7662, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 13201, 81, 38418, 26, 605, 30, 3218, 81, 4332, 30, 5941, 47, 2521, 30, 1769, 1731, 47, 34, 30, 15376, 3499, 96, 47, 34, 32, 34, 34, 35, 30, 343, 887, 47, 34, 30, 343, 1449, 47, 2356, 32, 5267, 30, 25139, 81, 1644, 47, 2356, 32, 1295, 517, 225, 43, 32, 34, 30, 21179, 47, 35, 34, 30, 3309, 47, 2521, 711, 203, 1524, 4868, 25203, 4193, 623, 322, 313, 38418, 20, 1411, 31945, 44, 706, 44, 26703, 299, 5045, 3218, 81, 4332, 44, 28625, 786, 436, 816, 308, 643, 27, 461, 533, 308, 2592, 27, 10517, 432, 322, 25203, 4193, 30, 8049, 645, 225, 35, 32, 5941, 44, 5941, 5045, 32, 1670, 1665, 30, 7553, 1098, 526, 35665, 32, 12779, 561, 1395, 526, 432, 322, 2432, 1334, 619, 706, 32, 12495, 6158, 6058, 2979, 31, 29634, 32, 1769, 1731, 44, 7091, 1451, 432, 17576, 436, 18414, 32, 22926, 32, 27977, 5664, 15376, 3499, 96, 44, 1509, 436, 18414, 32, 22926, 32, 27977, 5664, 343, 887, 44, 1214, 1582, 704, 10862, 1168, 8970, 372, 322, 7382, 2784, 458, 343, 1449, 44, 1214, 1582, 704, 10862, 9019, 968, 645, 322, 7382, 2784, 458, 25139, 81, 1644, 44, 1861, 432, 29064, 1734, 328, 35538, 21179, 44, 42496, 7291, 432, 322, 1550, 461, 322, 4011, 7382, 328, 10862, 32, 37327, 3857, 312, 786, 7410, 322, 38330, 10023, 707, 10938, 32, 37327, 7461, 312, 786, 1957, 646, 8263, 372, 5169, 12008, 322, 1550, 7382, 32, 3309, 44, 3309, 667, 308, 24552, 1289, 4209, 27, 5582, 44, 312, 4026, 432, 3104, 225, 36, 623, 322, 816, 308, 643, 27, 461, 533, 308, 2592, 27, 10517, 432, 322, 7382, 32, 1524, 446, 415, 5941, 438, 1665, 44, 291, 5941, 280, 2065, 32, 5783, 26, 605, 32, 3229, 27, 284, 706, 280, 706, 32, 15315, 26, 2356, 32, 2627, 27, 446, 665, 1760, 1298, 26, 3831, 30, 706, 30, 5941, 30, 3218, 81, 3831, 30, 3309, 711, 291, 588, 26697, 12074, 29064, 1734, 291, 439, 280, 428, 2521, 79, 319, 225, 38, 291, 298, 30, 701, 1421, 30, 399, 280, 5865, 410, 81, 96, 18026, 26, 605, 30, 1665, 30, 429, 35, 30, 429, 35, 30, 429, 35, 30, 3218, 77, 34, 79, 474, 3218, 81, 3831, 77, 34, 614, 3218, 77, 35, 79, 474, 3218, 81, 3831, 77, 35, 614, 5941, 47, 3965, 30, 1891, 18316, 34, 47, 2356, 32, 1295, 517, 225, 38, 429, 225, 34, 32, 39, 319, 25139, 81, 1644, 30, 343, 8941, 47, 18026, 81, 1644, 30, 1891, 489, 18026, 47, 38, 27, 291, 1847, 14820, 280, 1769, 26, 1449, 26, 98, 32, 887, 26, 34, 547, 25880, 6182, 343, 887, 27, 291, 1769, 14820, 280, 1847, 26, 887, 26, 98, 32, 1449, 26, 34, 547, 25880, 6182, 343, 1449, 27, 291, 415, 308, 1449, 14820, 333, 1847, 14820, 711, 324, 3636, 10091, 463, 1318, 12074, 35108, 745, 646, 18714, 19, 5294, 7624, 312, 78, 203, 6085, 39431, 436, 322, 7382, 556, 793, 4674, 4193, 299, 1411, 11834, 291, 436, 595, 328, 2155, 26, 38, 711, 324, 439, 77, 91, 79, 280, 701, 1421, 6894, 595, 1674, 26, 98, 6894, 595, 79, 2377, 1847, 14820, 27, 549, 308, 98, 6894, 595, 79, 2511, 1769, 14820, 2177, 291, 2152, 280, 1833, 59, 77, 34, 79, 429, 439, 77, 36, 1130, 1115, 225, 36, 474, 308, 59, 77, 35, 79, 429, 439, 77, 37, 1130, 1115, 225, 36, 27, 517, 308, 1449, 14820, 429, 1847, 14820, 27, 291, 415, 3309, 438, 646, 1665, 44, 324, 3309, 346, 291, 442, 2152, 284, 3218, 280, 18414, 32, 22926, 32, 27977, 5664, 26, 1977, 1298, 30, 2065, 32, 955, 2009, 21357, 30, 21179, 5727, 6619, 2181, 4310, 605, 30, 225, 35, 429, 5941, 32, 15315, 26, 2356, 32, 1774, 42, 471, 2476, 2065, 32, 955, 26, 3831, 81, 4332, 27, 429, 21179, 30, 3309, 471, 6619, 1769, 1225, 104, 47, 1449, 1731, 30, 15376, 3499, 96, 47, 34, 32, 34, 35, 27, 284, 442, 3218, 77, 34, 79, 474, 2065, 32, 955, 26, 3831, 81, 4332, 27, 429, 21179, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 13201, 81, 1373, 36201, 279, 26, 605, 30, 3218, 81, 4332, 30, 5941, 47, 2521, 30, 1769, 1731, 47, 35, 34, 34, 30, 489, 10753, 47, 39, 34, 30, 343, 887, 47, 34, 30, 343, 1449, 47, 2356, 32, 5267, 30, 21179, 47, 35, 34, 30, 3309, 47, 2521, 711, 203, 1524, 4868, 25203, 4193, 1471, 10166, 36201, 279, 10516, 31945, 44, 706, 44, 26703, 299, 5045, 3218, 81, 4332, 44, 28625, 786, 436, 816, 308, 643, 27, 461, 533, 308, 2592, 27, 10517, 432, 322, 25203 ]
[ 4193, 30, 8049, 645, 225, 35, 32, 5941, 44, 5941, 5045, 32, 1670, 1665, 30, 7553, 1098, 526, 35665, 32, 12779, 561, 1395, 526, 432, 322, 2432, 1334, 619, 706, 32, 12495, 6158, 6058, 2979, 31, 29634, 32, 1769, 1731, 44, 7091, 1451, 432, 17576, 436, 18414, 32, 22926, 32, 88, 887, 489, 10753, 44, 322, 1451, 432, 17210, 4981, 436, 322, 10166, 36201, 279, 10516, 343, 887, 44, 10862, 1168, 8970, 372, 322, 7382, 2784, 458, 1098, 526, 26247, 645, 322, 10166, 36201, 279, 10516, 343, 1449, 44, 10862, 9019, 968, 645, 322, 7382, 2784, 458, 1098, 526, 26247, 645, 322, 10166, 36201, 279, 10516, 21179, 44, 42496, 7291, 432, 322, 1550, 461, 322, 4011, 7382, 328, 10862, 32, 37327, 3857, 312, 786, 7410, 322, 38330, 10023, 707, 10938, 32, 37327, 7461, 312, 786, 1957, 646, 8263, 372, 5169, 12008, 322, 1550, 7382, 32, 3309, 44, 3309, 667, 308, 24552, 1289, 4209, 27, 5582, 44, 312, 4026, 432, 3104, 225, 36, 623, 322, 816, 461, 533, 10517, 432, 322, 7382, 30, 8049, 645, 225, 35, 1524, 446, 415, 5941, 438, 1665, 44, 291, 5941, 280, 2065, 32, 5783, 26, 605, 32, 3229, 27, 284, 706, 280, 706, 32, 15315, 26, 2356, 32, 2627, 27, 446, 665, 1760, 1298, 26, 3831, 30, 706, 30, 5941, 30, 3218, 81, 3831, 30, 3309, 711, 291, 665, 309, 5267, 311, 26, 98, 30, 816, 30, 533, 711, 324, 442, 308, 107, 429, 2065, 32, 7102, 26, 106, 474, 298, 77, 35, 1130, 319, 298, 77, 34, 79, 429, 298, 77, 36, 1130, 517, 2065, 32, 8663, 26, 1657, 26, 106, 490, 291, 273, 30, 439, 30, 312, 280, 10166, 449, 410, 14820, 26, 605, 30, 1665, 30, 3218, 77, 4985, 34, 79, 474, 3218, 81, 3831, 77, 34, 614, 3218, 77, 35, 79, 474, 3218, 81, 3831, 77, 35, 614, 5941, 32, 15315, 463, 1774, 42, 1425, 489, 10753, 30, 343, 887, 30, 343, 1449, 27, 291, 415, 2069, 26, 83, 27, 848, 308, 83, 848, 225, 34, 547, 1036, 2262, 324, 3636, 10091, 463, 1809, 13201, 81, 1373, 36201, 279, 44, 2979, 31, 5898, 10166, 36201, 279, 10858, 30, 4322, 6295, 12374, 343, 887, 30, 343, 1449, 461, 33, 271, 3218, 81, 4332, 22735, 291, 298, 280, 1833, 59, 32, 1449, 346, 429, 439, 32, 887, 1157, 517, 225, 36, 32, 34, 30, 273, 77, 59, 610, 439, 32, 1449, 346, 1674, 34, 614, 439, 32, 6009, 1157, 291, 298, 280, 18414, 32, 22926, 32, 27977, 5664, 26, 101, 5267, 311, 30, 298, 30, 308, 102, 30, 439, 29856, 34, 79, 291, 588, 1459, 313, 1809, 13201, 81, 1373, 36201, 279, 44, 3218, 12614, 3831, 2360, 46680, 12614, 3596, 26, 98, 77, 34, 1130, 291, 415, 3309, 438, 646, 1665, 44, 324, 3309, 346, 291, 442, 11366, 26, 98, 77, 34, 1130, 284, 3218, 35, 280, 18414, 32, 22926, 32, 88, 887, 26, 1977, 1298, 30, 2065, 32, 955, 2009, 21357, 30, 21179, 5727, 1378, 2181, 4310, 605, 30, 225, 35, 429, 5941, 30, 2065, 32, 955, 26, 3831, 81, 4332, 27, 429, 21179, 30, 8479, 3309, 471, 1769, 1731, 47, 1449, 1731, 30, 24590, 47, 34, 27, 284, 442, 3218, 35, 474, 2065, 32, 955, 26, 3831, 81, 4332, 27, 429, 21179, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 13201, 81, 1373, 36201, 279, 81, 8673, 26, 605, 30, 3218, 81, 4332, 30, 5941, 47, 2521, 30, 1769, 1731, 47, 35, 34, 34, 30, 489, 10753, 47, 39, 34, 30, 343, 887, 47, 34, 30, 343, 1449, 47, 2356, 32, 5267, 30, 21179, 47, 35, 34, 30, 3309, 47, 2521, 711, 203, 1524, 4868, 25203, 4193, 1471, 10166, 36201, 279, 10516, 461, 11426, 299, 31945, 44, 706, 44, 26703, 299, 5045, 3218, 81, 4332, 44, 28625, 786, 436, 816, 308, 643, 27, 461, 533, 308, 2592, 27, 10517, 432, 322, 25203, 4193, 30, 8049, 645, 225, 35, 32, 5941, 44, 5941, 5045, 32, 1670, 1665, 30, 7553, 1098, 526, 35665, 32, 12779, 561, 1395, 526, 432, 322, 2432, 1334, 619, 706, 32, 12495, 6158, 6058, 2979, 31, 29634, 32, 1769, 1731, 44, 7091, 1451, 432, 17576, 436, 18414, 32, 22926, 32, 88, 887, 489, 10753, 44, 322, 1451, 432, 17210, 4981, 436, 322, 10166, 36201, 279, 10516, 32, 9043, 526, 4444, 19, 343, 887, 44, 10862, 1168, 8970, 372, 322, 7382, 2784, 458, 1098, 526, 26247, 645, 322, 10166, 36201, 279, 10516, 343, 1449, 44, 10862, 9019, 968, 645, 322, 7382, 2784, 458, 1098, 526, 26247, 645, 322, 10166, 36201, 279, 10516, 21179, 44, 42496, 7291, 432, 322, 1550, 461, 322, 4011, 7382, 328, 10862, 32, 37327, 3857, 312, 786, 7410, 322, 38330, 10023, 707, 10938, 32, 37327, 7461, 312, 786, 1957, 646, 8263, 372, 5169, 12008, 322, 1550, 7382, 32, 3309, 44, 3309, 667, 308, 24552, 1289, 4209, 27, 5582, 44, 312, 4026, 432, 3104, 225, 36, 623, 322, 816, 461, 533, 10517, 432, 322, 7382, 30, 8049, 645, 225, 35, 1524, 446, 415, 489, 10753, 904, 225, 36, 44, 291, 3636, 10091, 463, 64, 10753, 1395, 526, 4444, 22735, 284, 415, 5941, 438, 1665, 44, 291, 5941, 280, 2065, 32, 5783, 81, 6228, 26, 605, 547, 15315, 26, 2356, 32, 1774, 42, 27, 284, 706, 280, 706, 32, 15315, 26, 2356, 32, 2627, 27, 284, 588, 322, 667, 372, 32758, 438, 322, 3632, 432, 39560, 10563, 432, 3134, 20158, 4954, 432, 284, 588, 322, 10166, 36201, 279, 30017, 32, 446, 665, 1760, 1298, 26, 3831, 30, 706, 30, 5941, 30, 3218, 81, 3831, 30, 3309, 711, 291, 439, 280, 10166, 449, 410, 14820, 26, 605, 30, 1665, 30, 3218, 77, 715, 34, 79, 474, 3218, 81, 3831, 77, 34, 614, 3218, 77, 35, 79, 474, 3218, 81, 3831, 77, 35, 614, 5941, 30, 489, 10753, 30, 343, 887, 30, 343, 1449, 5594, 35, 79, 291, 415, 3309, 438, 646, 1665, 44, 324, 3309, 346, 291, 442, 2065, 32, 1036, 1162 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4193, 30, 8049, 645, 225, 35, 32, 5941, 44, 5941, 5045, 32, 1670, 1665, 30, 7553, 1098, 526, 35665, 32, 12779, 561, 1395, 526, 432, 322, 2432, 1334, 619, 706, 32, 12495, 6158, 6058, 2979, 31, 29634, 32, 1769, 1731, 44, 7091, 1451, 432, 17576, 436, 18414, 32, 22926, 32, 88, 887, 489, 10753, 44, 322, 1451, 432, 17210, 4981, 436, 322, 10166, 36201, 279, 10516, 343, 887, 44, 10862, 1168, 8970, 372, 322, 7382, 2784, 458, 1098, 526, 26247, 645, 322, 10166, 36201, 279, 10516, 343, 1449, 44, 10862, 9019, 968, 645, 322, 7382, 2784, 458, 1098, 526, 26247, 645, 322, 10166, 36201, 279, 10516, 21179, 44, 42496, 7291, 432, 322, 1550, 461, 322, 4011, 7382, 328, 10862, 32, 37327, 3857, 312, 786, 7410, 322, 38330, 10023, 707, 10938, 32, 37327, 7461, 312, 786, 1957, 646, 8263, 372, 5169, 12008, 322, 1550, 7382, 32, 3309, 44, 3309, 667, 308, 24552, 1289, 4209, 27, 5582, 44, 312, 4026, 432, 3104, 225, 36, 623, 322, 816, 461, 533, 10517, 432, 322, 7382, 30, 8049, 645, 225, 35, 1524, 446, 415, 5941, 438, 1665, 44, 291, 5941, 280, 2065, 32, 5783, 26, 605, 32, 3229, 27, 284, 706, 280, 706, 32, 15315, 26, 2356, 32, 2627, 27, 446, 665, 1760, 1298, 26, 3831, 30, 706, 30, 5941, 30, 3218, 81, 3831, 30, 3309, 711, 291, 665, 309, 5267, 311, 26, 98, 30, 816, 30, 533, 711, 324, 442, 308, 107, 429, 2065, 32, 7102, 26, 106, 474, 298, 77, 35, 1130, 319, 298, 77, 34, 79, 429, 298, 77, 36, 1130, 517, 2065, 32, 8663, 26, 1657, 26, 106, 490, 291, 273, 30, 439, 30, 312, 280, 10166, 449, 410, 14820, 26, 605, 30, 1665, 30, 3218, 77, 4985, 34, 79, 474, 3218, 81, 3831, 77, 34, 614, 3218, 77, 35, 79, 474, 3218, 81, 3831, 77, 35, 614, 5941, 32, 15315, 463, 1774, 42, 1425, 489, 10753, 30, 343, 887, 30, 343, 1449, 27, 291, 415, 2069, 26, 83, 27, 848, 308, 83, 848, 225, 34, 547, 1036, 2262, 324, 3636, 10091, 463, 1809, 13201, 81, 1373, 36201, 279, 44, 2979, 31, 5898, 10166, 36201, 279, 10858, 30, 4322, 6295, 12374, 343, 887, 30, 343, 1449, 461, 33, 271, 3218, 81, 4332, 22735, 291, 298, 280, 1833, 59, 32, 1449, 346, 429, 439, 32, 887, 1157, 517, 225, 36, 32, 34, 30, 273, 77, 59, 610, 439, 32, 1449, 346, 1674, 34, 614, 439, 32, 6009, 1157, 291, 298, 280, 18414, 32, 22926, 32, 27977, 5664, 26, 101, 5267, 311, 30, 298, 30, 308, 102, 30, 439, 29856, 34, 79, 291, 588, 1459, 313, 1809, 13201, 81, 1373, 36201, 279, 44, 3218, 12614, 3831, 2360, 46680, 12614, 3596, 26, 98, 77, 34, 1130, 291, 415, 3309, 438, 646, 1665, 44, 324, 3309, 346, 291, 442, 11366, 26, 98, 77, 34, 1130, 284, 3218, 35, 280, 18414, 32, 22926, 32, 88, 887, 26, 1977, 1298, 30, 2065, 32, 955, 2009, 21357, 30, 21179, 5727, 1378, 2181, 4310, 605, 30, 225, 35, 429, 5941, 30, 2065, 32, 955, 26, 3831, 81, 4332, 27, 429, 21179, 30, 8479, 3309, 471, 1769, 1731, 47, 1449, 1731, 30, 24590, 47, 34, 27, 284, 442, 3218, 35, 474, 2065, 32, 955, 26, 3831, 81, 4332, 27, 429, 21179, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 13201, 81, 1373, 36201, 279, 81, 8673, 26, 605, 30, 3218, 81, 4332, 30, 5941, 47, 2521, 30, 1769, 1731, 47, 35, 34, 34, 30, 489, 10753, 47, 39, 34, 30, 343, 887, 47, 34, 30, 343, 1449, 47, 2356, 32, 5267, 30, 21179, 47, 35, 34, 30, 3309, 47, 2521, 711, 203, 1524, 4868, 25203, 4193, 1471, 10166, 36201, 279, 10516, 461, 11426, 299, 31945, 44, 706, 44, 26703, 299, 5045, 3218, 81, 4332, 44, 28625, 786, 436, 816, 308, 643, 27, 461, 533, 308, 2592, 27, 10517, 432, 322, 25203, 4193, 30, 8049, 645, 225, 35, 32, 5941, 44, 5941, 5045, 32, 1670, 1665, 30, 7553, 1098, 526, 35665, 32, 12779, 561, 1395, 526, 432, 322, 2432, 1334, 619, 706, 32, 12495, 6158, 6058, 2979, 31, 29634, 32, 1769, 1731, 44, 7091, 1451, 432, 17576, 436, 18414, 32, 22926, 32, 88, 887, 489, 10753, 44, 322, 1451, 432, 17210, 4981, 436, 322, 10166, 36201, 279, 10516, 32, 9043, 526, 4444, 19, 343, 887, 44, 10862, 1168, 8970, 372, 322, 7382, 2784, 458, 1098, 526, 26247, 645, 322, 10166, 36201, 279, 10516, 343, 1449, 44, 10862, 9019, 968, 645, 322, 7382, 2784, 458, 1098, 526, 26247, 645, 322, 10166, 36201, 279, 10516, 21179, 44, 42496, 7291, 432, 322, 1550, 461, 322, 4011, 7382, 328, 10862, 32, 37327, 3857, 312, 786, 7410, 322, 38330, 10023, 707, 10938, 32, 37327, 7461, 312, 786, 1957, 646, 8263, 372, 5169, 12008, 322, 1550, 7382, 32, 3309, 44, 3309, 667, 308, 24552, 1289, 4209, 27, 5582, 44, 312, 4026, 432, 3104, 225, 36, 623, 322, 816, 461, 533, 10517, 432, 322, 7382, 30, 8049, 645, 225, 35, 1524, 446, 415, 489, 10753, 904, 225, 36, 44, 291, 3636, 10091, 463, 64, 10753, 1395, 526, 4444, 22735, 284, 415, 5941, 438, 1665, 44, 291, 5941, 280, 2065, 32, 5783, 81, 6228, 26, 605, 547, 15315, 26, 2356, 32, 1774, 42, 27, 284, 706, 280, 706, 32, 15315, 26, 2356, 32, 2627, 27, 284, 588, 322, 667, 372, 32758, 438, 322, 3632, 432, 39560, 10563, 432, 3134, 20158, 4954, 432, 284, 588, 322, 10166, 36201, 279, 30017, 32, 446, 665, 1760, 1298, 26, 3831, 30, 706, 30, 5941, 30, 3218, 81, 3831, 30, 3309, 711, 291, 439, 280, 10166, 449, 410, 14820, 26, 605, 30, 1665, 30, 3218, 77, 715, 34, 79, 474, 3218, 81, 3831, 77, 34, 614, 3218, 77, 35, 79, 474, 3218, 81, 3831, 77, 35, 614, 5941, 30, 489, 10753, 30, 343, 887, 30, 343, 1449, 5594, 35, 79, 291, 415, 3309, 438, 646, 1665, 44, 324, 3309, 346, 291, 442, 2065, 32, 1036, 1162 ]
[ 59, 2867, 64, 10753, 517, 225, 36, 79, 429, 439, 77, 64, 10753, 517, 225, 36, 19572, 1115, 225, 36, 27, 517, 489, 10753, 284, 3218, 35, 280, 18414, 32, 22926, 32, 88, 887, 26, 1977, 1298, 30, 2065, 32, 955, 2009, 21357, 30, 21179, 5727, 1378, 2181, 4310, 605, 30, 225, 35, 429, 5941, 30, 2065, 32, 955, 26, 3831, 81, 4332, 27, 429, 21179, 30, 3309, 471, 1769, 1731, 47, 1449, 1731, 30, 24590, 47, 34, 27, 284, 442, 3218, 35, 474, 2065, 32, 955, 26, 3831, 81, 4332, 27, 429, 21179, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 13201, 81, 277, 911, 100, 8562, 26, 605, 30, 3031, 30, 10084, 47, 34, 32, 34, 39, 711, 203, 1524, 4868, 25203, 623, 225, 36, 54, 7533, 299, 432, 408, 911, 100, 8562, 25203, 4048, 5951, 31945, 44, 706, 44, 26703, 299, 5045, 3031, 44, 1149, 432, 12074, 44, 428, 40303, 30, 40398, 30, 43206, 30, 41757, 79, 436, 322, 46437, 432, 322, 25203, 5951, 1531, 322, 408, 911, 100, 8562, 25203, 4048, 32, 1593, 20809, 372, 322, 2623, 1650, 308, 1075, 32, 399, 77, 75, 30, 74, 79, 438, 322, 1994, 432, 399, 645, 322, 1593, 349, 2623, 461, 322, 1410, 349, 2698, 547, 2448, 883, 622, 3282, 810, 13156, 299, 544, 322, 10986, 461, 30627, 322, 1056, 432, 6013, 346, 308, 6228, 328, 5850, 4785, 27, 10084, 44, 745, 646, 2385, 10862, 415, 3623, 29135, 39394, 4794, 1769, 81, 29795, 28, 10402, 32, 1769, 81, 29795, 438, 322, 18399, 2385, 7692, 328, 322, 1550, 2698, 556, 2623, 30, 22781, 32, 1756, 1665, 372, 7378, 458, 2787, 32, 40644, 44, 323, 9995, 30, 84, 2479, 322, 816, 461, 533, 10517, 432, 322, 7458, 25203, 1524, 446, 2698, 887, 280, 2065, 32, 9121, 26, 887, 26, 2048, 77, 36, 44, 5259, 284, 2698, 1449, 280, 2065, 32, 17682, 26, 1449, 26, 2048, 77, 36, 44, 5259, 284, 932, 887, 280, 2065, 32, 9121, 26, 887, 26, 2048, 2867, 36, 5259, 284, 932, 1449, 280, 2065, 32, 17682, 26, 1449, 26, 2048, 2867, 36, 5259, 446, 415, 10084, 438, 646, 1665, 44, 291, 588, 25203, 5951, 544, 322, 26703, 299, 1778, 291, 551, 280, 706, 77, 643, 887, 44, 643, 1449, 30, 932, 887, 44, 748, 1449, 79, 291, 588, 1459, 551, 32, 3229, 291, 588, 2698, 461, 2623, 10193, 291, 48447, 280, 2065, 32, 16251, 26, 643, 887, 30, 2698, 1449, 27, 291, 46965, 280, 2065, 32, 16251, 26, 748, 887, 30, 932, 1449, 27, 291, 588, 1459, 2069, 26, 28673, 27, 291, 588, 1459, 2069, 26, 20937, 27, 291, 559, 10074, 280, 551, 32, 6009, 26, 35, 27, 225, 588, 10858, 2288, 2623, 1650, 30, 1098, 526, 312, 12987, 789, 14486, 291, 390, 10074, 280, 551, 32, 6009, 26, 34, 27, 225, 588, 10858, 2288, 2698, 1650, 30, 1098, 526, 312, 12987, 789, 14486, 291, 588, 2290, 322, 1769, 10510, 3960, 4335, 29038, 461, 3623, 14471, 291, 1769, 68, 280, 559, 10074, 32, 1449, 346, 291, 1769, 68, 966, 280, 559, 10074, 32, 29957, 346, 291, 1769, 53, 280, 390, 10074, 32, 1449, 346, 291, 1769, 53, 966, 280, 390, 10074, 32, 29957, 346, 291, 588, 11909, 2126, 10862, 1510, 884, 14763, 2784, 10084, 28, 11000, 81, 2273, 291, 559, 887, 280, 48447, 77, 324, 1833, 68, 10074, 429, 559, 10074, 77, 34, 1130, 2377, 1833, 1449, 68, 429, 559, 10074, 77, 34, 1130, 319, 10084, 490, 549, 308, 28673, 333, 1769, 68, 966, 41193, 34, 79, 291, 559, 1449, 280, 48447, 77, 324, 1833, 68, 10074, 429, 559, 10074, 6448, 35, 1130, 2377, 1833, 1449, 68, 429, 559, 10074, 6448, 35, 1130, 319, 10084, 490, 549, 308, 28673, 848, 1769, 68, 966, 41193, 31, 35, 79, 291, 390, 887, 280, 46965, 77, 324, 1833, 53, 10074, 429, 390, 10074, 77, 34, 1130, 2377, 1833, 1449, 53, 429, 390, 10074, 77, 34, 1130, 319, 10084, 490, 549, 308, 20937, 333, 1769, 53, 966, 41193, 34, 79, 291, 390, 1449, 280, 46965, 77, 324, 1833, 53, 10074, 429, 390, 10074, 6448, 35, 1130, 2377, 1833, 1449, 53, 429, 390, 10074, 6448, 35, 1130, 319, 10084, 490, 549, 308, 20937, 848, 1769, 53, 966, 41193, 31, 35, 79, 284, 813, 44, 291, 559, 887, 280, 2698, 887, 291, 559, 1449, 280, 2698, 1449, 291, 390, 887, 280, 932, 887, 291, 390, 1449, 280, 932, 1449, 284, 343, 280, 706, 77, 68, 887, 44, 68, 1449, 474, 225, 35, 30, 390, 887, 44, 53, 1449, 474, 225, 35, 79, 284, 816, 280, 2065, 32, 16251, 26, 68, 887, 30, 559, 1449, 474, 225, 35, 27, 284, 533, 280, 2065, 32, 16251, 26, 53, 887, 30, 390, 1449, 474, 225, 35, 27, 284, 323, 9995, 280, 308, 86, 32, 1036, 26, 35, 27, 319, 816, 547, 1036, 346, 517, 343, 32, 1036, 346, 284, 323, 2479, 280, 308, 86, 32, 1036, 26, 34, 27, 319, 533, 547, 1036, 346, 517, 343, 32, 1036, 346, 284, 442, 323, 9995, 30, 323, 2479, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 13201, 81, 42659, 11000, 26, 605, 30, 3218, 81, 4332, 30, 5941, 30, 540, 887, 30, 540, 1449, 30, 1769, 1731, 47, 35, 34, 34, 30, 15970, 81, 1170, 1057, 46680, 370, 21179, 47, 35, 34, 30, 3309, 47, 2521, 711, 203, 1524, 4868, 322, 25203, 810, 18206, 6183, 322, 1861, 432, 312, 26101, 328, 322, 46748, 10858, 32, 31945, 44, 706, 44, 26703, 299, 5045, 3218, 81, 4332, 44, 1932, 11089, 436, 322, 7382, 5941, 44, 5941, 5045, 32, 12495, 6158, 438, 2979, 31, 29634, 32, 540, 887, 30, 100, 1449, 44, 7291, 645, 322, 7382, 308, 266, 10862, 27, 432, 322, 26101, 2155, 32, 15970, 81, 1170, 44, 330, 90, 1354, 95, 25, 372, 32758, 322, 420, 1354, 95, 432, 322, 26101, 556, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 59, 2867, 64, 10753, 517, 225, 36, 79, 429, 439, 77, 64, 10753, 517, 225, 36, 19572, 1115, 225, 36, 27, 517, 489, 10753, 284, 3218, 35, 280, 18414, 32, 22926, 32, 88, 887, 26, 1977, 1298, 30, 2065, 32, 955, 2009, 21357, 30, 21179, 5727, 1378, 2181, 4310, 605, 30, 225, 35, 429, 5941, 30, 2065, 32, 955, 26, 3831, 81, 4332, 27, 429, 21179, 30, 3309, 471, 1769, 1731, 47, 1449, 1731, 30, 24590, 47, 34, 27, 284, 442, 3218, 35, 474, 2065, 32, 955, 26, 3831, 81, 4332, 27, 429, 21179, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 13201, 81, 277, 911, 100, 8562, 26, 605, 30, 3031, 30, 10084, 47, 34, 32, 34, 39, 711, 203, 1524, 4868, 25203, 623, 225, 36, 54, 7533, 299, 432, 408, 911, 100, 8562, 25203, 4048, 5951, 31945, 44, 706, 44, 26703, 299, 5045, 3031, 44, 1149, 432, 12074, 44, 428, 40303, 30, 40398, 30, 43206, 30, 41757, 79, 436, 322, 46437, 432, 322, 25203, 5951, 1531, 322, 408, 911, 100, 8562, 25203, 4048, 32, 1593, 20809, 372, 322, 2623, 1650, 308, 1075, 32, 399, 77, 75, 30, 74, 79, 438, 322, 1994, 432, 399, 645, 322, 1593, 349, 2623, 461, 322, 1410, 349, 2698, 547, 2448, 883, 622, 3282, 810, 13156, 299, 544, 322, 10986, 461, 30627, 322, 1056, 432, 6013, 346, 308, 6228, 328, 5850, 4785, 27, 10084, 44, 745, 646, 2385, 10862, 415, 3623, 29135, 39394, 4794, 1769, 81, 29795, 28, 10402, 32, 1769, 81, 29795, 438, 322, 18399, 2385, 7692, 328, 322, 1550, 2698, 556, 2623, 30, 22781, 32, 1756, 1665, 372, 7378, 458, 2787, 32, 40644, 44, 323, 9995, 30, 84, 2479, 322, 816, 461, 533, 10517, 432, 322, 7458, 25203, 1524, 446, 2698, 887, 280, 2065, 32, 9121, 26, 887, 26, 2048, 77, 36, 44, 5259, 284, 2698, 1449, 280, 2065, 32, 17682, 26, 1449, 26, 2048, 77, 36, 44, 5259, 284, 932, 887, 280, 2065, 32, 9121, 26, 887, 26, 2048, 2867, 36, 5259, 284, 932, 1449, 280, 2065, 32, 17682, 26, 1449, 26, 2048, 2867, 36, 5259, 446, 415, 10084, 438, 646, 1665, 44, 291, 588, 25203, 5951, 544, 322, 26703, 299, 1778, 291, 551, 280, 706, 77, 643, 887, 44, 643, 1449, 30, 932, 887, 44, 748, 1449, 79, 291, 588, 1459, 551, 32, 3229, 291, 588, 2698, 461, 2623, 10193, 291, 48447, 280, 2065, 32, 16251, 26, 643, 887, 30, 2698, 1449, 27, 291, 46965, 280, 2065, 32, 16251, 26, 748, 887, 30, 932, 1449, 27, 291, 588, 1459, 2069, 26, 28673, 27, 291, 588, 1459, 2069, 26, 20937, 27, 291, 559, 10074, 280, 551, 32, 6009, 26, 35, 27, 225, 588, 10858, 2288, 2623, 1650, 30, 1098, 526, 312, 12987, 789, 14486, 291, 390, 10074, 280, 551, 32, 6009, 26, 34, 27, 225, 588, 10858, 2288, 2698, 1650, 30, 1098, 526, 312, 12987, 789, 14486, 291, 588, 2290, 322, 1769, 10510, 3960, 4335, 29038, 461, 3623, 14471, 291, 1769, 68, 280, 559, 10074, 32, 1449, 346, 291, 1769, 68, 966, 280, 559, 10074, 32, 29957, 346, 291, 1769, 53, 280, 390, 10074, 32, 1449, 346, 291, 1769, 53, 966, 280, 390, 10074, 32, 29957, 346, 291, 588, 11909, 2126, 10862, 1510, 884, 14763, 2784, 10084, 28, 11000, 81, 2273, 291, 559, 887, 280, 48447, 77, 324, 1833, 68, 10074, 429, 559, 10074, 77, 34, 1130, 2377, 1833, 1449, 68, 429, 559, 10074, 77, 34, 1130, 319, 10084, 490, 549, 308, 28673, 333, 1769, 68, 966, 41193, 34, 79, 291, 559, 1449, 280, 48447, 77, 324, 1833, 68, 10074, 429, 559, 10074, 6448, 35, 1130, 2377, 1833, 1449, 68, 429, 559, 10074, 6448, 35, 1130, 319, 10084, 490, 549, 308, 28673, 848, 1769, 68, 966, 41193, 31, 35, 79, 291, 390, 887, 280, 46965, 77, 324, 1833, 53, 10074, 429, 390, 10074, 77, 34, 1130, 2377, 1833, 1449, 53, 429, 390, 10074, 77, 34, 1130, 319, 10084, 490, 549, 308, 20937, 333, 1769, 53, 966, 41193, 34, 79, 291, 390, 1449, 280, 46965, 77, 324, 1833, 53, 10074, 429, 390, 10074, 6448, 35, 1130, 2377, 1833, 1449, 53, 429, 390, 10074, 6448, 35, 1130, 319, 10084, 490, 549, 308, 20937, 848, 1769, 53, 966, 41193, 31, 35, 79, 284, 813, 44, 291, 559, 887, 280, 2698, 887, 291, 559, 1449, 280, 2698, 1449, 291, 390, 887, 280, 932, 887, 291, 390, 1449, 280, 932, 1449, 284, 343, 280, 706, 77, 68, 887, 44, 68, 1449, 474, 225, 35, 30, 390, 887, 44, 53, 1449, 474, 225, 35, 79, 284, 816, 280, 2065, 32, 16251, 26, 68, 887, 30, 559, 1449, 474, 225, 35, 27, 284, 533, 280, 2065, 32, 16251, 26, 53, 887, 30, 390, 1449, 474, 225, 35, 27, 284, 323, 9995, 280, 308, 86, 32, 1036, 26, 35, 27, 319, 816, 547, 1036, 346, 517, 343, 32, 1036, 346, 284, 323, 2479, 280, 308, 86, 32, 1036, 26, 34, 27, 319, 533, 547, 1036, 346, 517, 343, 32, 1036, 346, 284, 442, 323, 9995, 30, 323, 2479, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 13201, 81, 42659, 11000, 26, 605, 30, 3218, 81, 4332, 30, 5941, 30, 540, 887, 30, 540, 1449, 30, 1769, 1731, 47, 35, 34, 34, 30, 15970, 81, 1170, 1057, 46680, 370, 21179, 47, 35, 34, 30, 3309, 47, 2521, 711, 203, 1524, 4868, 322, 25203, 810, 18206, 6183, 322, 1861, 432, 312, 26101, 328, 322, 46748, 10858, 32, 31945, 44, 706, 44, 26703, 299, 5045, 3218, 81, 4332, 44, 1932, 11089, 436, 322, 7382, 5941, 44, 5941, 5045, 32, 12495, 6158, 438, 2979, 31, 29634, 32, 540, 887, 30, 100, 1449, 44, 7291, 645, 322, 7382, 308, 266, 10862, 27, 432, 322, 26101, 2155, 32, 15970, 81, 1170, 44, 330, 90, 1354, 95, 25, 372, 32758, 322, 420, 1354, 95, 432, 322, 26101, 556, 330 ]
[ 46680, 25, 372, 1769, 12178, 322, 26101, 38111, 21179, 44, 42496, 7291, 432, 322, 1550, 461, 322, 4011, 7382, 328, 10862, 32, 37327, 3857, 312, 786, 7410, 322, 38330, 10023, 707, 10938, 32, 37327, 7461, 312, 786, 1957, 646, 8263, 372, 5169, 12008, 322, 1550, 7382, 32, 3309, 44, 3309, 667, 308, 24552, 1289, 4209, 27, 40644, 44, 322, 25203, 10517, 13907, 44, 399, 29354, 1098, 526, 8157, 3251, 32, 1524, 446, 3218, 81, 4332, 280, 2065, 32, 955, 26, 3831, 81, 4332, 27, 284, 5941, 280, 225, 35, 429, 5941, 32, 15315, 26, 2356, 32, 1774, 42, 27, 284, 706, 280, 706, 32, 15315, 26, 2356, 32, 2627, 27, 284, 26513, 280, 2065, 32, 16251, 26, 100, 887, 319, 225, 35, 32, 34, 30, 540, 1449, 319, 225, 35, 32, 34, 30, 225, 35, 27, 284, 415, 15970, 81, 1170, 32, 5729, 346, 610, 330, 90, 1354, 95, 950, 291, 665, 1760, 1298, 26, 3831, 30, 706, 30, 5941, 30, 3218, 81, 3831, 30, 3309, 711, 324, 439, 280, 5865, 410, 14820, 26, 400, 706, 30, 1665, 30, 3218, 77, 34, 79, 474, 3218, 81, 3831, 77, 34, 614, 3218, 77, 35, 79, 474, 3218, 81, 3831, 77, 35, 614, 5941, 30, 26513, 5594, 35, 79, 324, 420, 1354, 95, 280, 1897, 26, 14481, 32, 1809, 11000, 81, 6270, 26, 14820, 30, 439, 5594, 35, 1130, 324, 588, 1459, 3218, 77, 34, 79, 474, 3218, 81, 3831, 77, 34, 614, 3218, 77, 35, 79, 474, 3218, 81, 3831, 77, 35, 614, 298, 324, 415, 3309, 438, 646, 1665, 44, 400, 3309, 346, 324, 442, 11366, 26, 90, 1354, 95, 27, 284, 4348, 15970, 81, 1170, 32, 5729, 346, 610, 330, 46680, 950, 291, 665, 1760, 1298, 26, 3831, 30, 706, 30, 5941, 30, 3218, 81, 3831, 30, 3309, 711, 324, 439, 280, 5865, 410, 14820, 26, 400, 706, 30, 1665, 30, 3218, 77, 34, 79, 474, 3218, 81, 3831, 77, 34, 614, 3218, 77, 35, 79, 474, 3218, 81, 3831, 77, 35, 614, 5941, 30, 26513, 5594, 35, 79, 324, 11828, 280, 31659, 32, 1809, 11000, 81, 6270, 26, 14820, 30, 439, 27, 324, 2384, 280, 429, 1808, 26, 4426, 77, 36, 79, 474, 11828, 77, 37, 1130, 324, 588, 1459, 3218, 77, 34, 79, 474, 3218, 81, 3831, 77, 34, 614, 3218, 77, 35, 79, 474, 3218, 81, 3831, 77, 35, 614, 298, 324, 415, 3309, 438, 646, 1665, 44, 400, 3309, 346, 324, 442, 2384, 284, 813, 44, 291, 3636, 10091, 463, 3817, 2793, 436, 15970, 81, 1170, 904, 101, 25, 904, 15970, 81, 1170, 27, 284, 3218, 35, 280, 18414, 32, 22926, 32, 88, 887, 26, 1977, 1298, 30, 2065, 32, 955, 2009, 21357, 30, 21179, 5727, 1378, 2181, 4310, 1891, 706, 30, 5941, 30, 3218, 81, 4332, 429, 21179, 30, 3309, 471, 1378, 1769, 1731, 47, 1449, 1731, 30, 24590, 47, 34, 27, 284, 442, 2065, 32, 955, 26, 3831, 81, 4332, 27, 429, 21179, 474, 3218, 35, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5247, 9410, 26, 784, 30, 1604, 30, 2678, 887, 47, 2521, 30, 2678, 1449, 47, 2521, 30, 489, 3953, 47, 2521, 711, 203, 1524, 20763, 312, 19315, 10365, 30, 810, 1510, 458, 14486, 438, 372, 526, 12044, 3032, 372, 5273, 8157, 322, 1604, 1591, 32, 31945, 44, 1604, 44, 322, 1604, 14486, 308, 278, 1980, 432, 6146, 12105, 556, 432, 312, 22948, 432, 561, 27, 2678, 887, 44, 7216, 11909, 31, 1719, 308, 2521, 372, 9921, 322, 4942, 2155, 6924, 27, 2678, 1449, 44, 8342, 11909, 31, 1719, 308, 2521, 372, 9921, 322, 4942, 2155, 6924, 27, 489, 3953, 44, 1451, 432, 4981, 372, 793, 328, 322, 4942, 816, 31, 3585, 308, 2521, 10071, 372, 322, 25624, 786, 17660, 322, 3134, 15500, 27, 40644, 44, 886, 19315, 10365, 19829, 810, 14399, 1741, 4335, 15500, 372, 322, 2432, 1399, 545, 47250, 461, 32718, 322, 12488, 432, 3623, 5845, 3528, 30, 16453, 810, 322, 554, 1718, 108, 580, 17568, 32, 3081, 36905, 438, 11508, 1991, 3497, 32, 1524, 584, 415, 2678, 887, 438, 1665, 44, 324, 2678, 887, 280, 1769, 26, 784, 32, 99, 32, 887, 1026, 1604, 32, 99, 32, 887, 1157, 291, 415, 2678, 1449, 438, 1665, 44, 324, 38808, 280, 1847, 26, 784, 32, 99, 32, 1449, 1026, 1604, 32, 99, 32, 1449, 1157, 291, 706, 35, 280, 630, 32, 5464, 26, 99, 887, 30, 2678, 1449, 27, 291, 706, 36, 280, 1604, 32, 5464, 26, 99, 887, 30, 2678, 1449, 27, 291, 415, 489, 3953, 438, 1665, 44, 324, 489, 3953, 280, 1847, 26, 1657, 26, 605, 35, 471, 2069, 26, 605, 36, 490, 291, 4942, 106, 280, 2065, 32, 24356, 26, 400, 1769, 26, 605, 35, 32, 99, 32, 887, 1026, 706, 36, 32, 99, 32, 887, 6182, 1847, 26, 605, 36, 32, 99, 32, 1449, 1026, 706, 35, 32, 99, 32, 1449, 6182, 489, 3953, 27, 291, 706, 35, 280, 706, 35, 32, 33386, 26, 2282, 106, 27, 291, 706, 36, 280, 706, 36, 32, 33386, 26, 2282, 106, 27, 291, 442, 48914, 81, 431, 100, 26, 605, 35, 32, 32198, 30, 706, 36, 32, 32198, 30, 706, 35, 32, 924, 30, 706, 36, 32, 924, 30, 9254, 816, 30, 312, 44, 312, 319, 816, 30, 428, 35, 33192, 34, 79, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 46991, 81, 8638, 81, 5138, 81, 331, 869, 26, 784, 30, 2098, 869, 711, 203, 1524, 6738, 5253, 3377, 328, 312, 40204, 5045, 2993, 584, 2098, 869, 81, 15655, 280, 2065, 32, 2951, 1162, 1657, 26, 784, 1114, 8638, 81, 5138, 471, 2069, 26, 784, 1114, 8638, 81, 5138, 2610, 291, 10193, 81, 1028, 81, 8638, 81, 5138, 280, 428, 91, 436, 595, 328, 2155, 26, 1657, 26, 784, 32, 5138, 5156, 415, 10000, 630, 1114, 8638, 81, 5138, 77, 91 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46680, 25, 372, 1769, 12178, 322, 26101, 38111, 21179, 44, 42496, 7291, 432, 322, 1550, 461, 322, 4011, 7382, 328, 10862, 32, 37327, 3857, 312, 786, 7410, 322, 38330, 10023, 707, 10938, 32, 37327, 7461, 312, 786, 1957, 646, 8263, 372, 5169, 12008, 322, 1550, 7382, 32, 3309, 44, 3309, 667, 308, 24552, 1289, 4209, 27, 40644, 44, 322, 25203, 10517, 13907, 44, 399, 29354, 1098, 526, 8157, 3251, 32, 1524, 446, 3218, 81, 4332, 280, 2065, 32, 955, 26, 3831, 81, 4332, 27, 284, 5941, 280, 225, 35, 429, 5941, 32, 15315, 26, 2356, 32, 1774, 42, 27, 284, 706, 280, 706, 32, 15315, 26, 2356, 32, 2627, 27, 284, 26513, 280, 2065, 32, 16251, 26, 100, 887, 319, 225, 35, 32, 34, 30, 540, 1449, 319, 225, 35, 32, 34, 30, 225, 35, 27, 284, 415, 15970, 81, 1170, 32, 5729, 346, 610, 330, 90, 1354, 95, 950, 291, 665, 1760, 1298, 26, 3831, 30, 706, 30, 5941, 30, 3218, 81, 3831, 30, 3309, 711, 324, 439, 280, 5865, 410, 14820, 26, 400, 706, 30, 1665, 30, 3218, 77, 34, 79, 474, 3218, 81, 3831, 77, 34, 614, 3218, 77, 35, 79, 474, 3218, 81, 3831, 77, 35, 614, 5941, 30, 26513, 5594, 35, 79, 324, 420, 1354, 95, 280, 1897, 26, 14481, 32, 1809, 11000, 81, 6270, 26, 14820, 30, 439, 5594, 35, 1130, 324, 588, 1459, 3218, 77, 34, 79, 474, 3218, 81, 3831, 77, 34, 614, 3218, 77, 35, 79, 474, 3218, 81, 3831, 77, 35, 614, 298, 324, 415, 3309, 438, 646, 1665, 44, 400, 3309, 346, 324, 442, 11366, 26, 90, 1354, 95, 27, 284, 4348, 15970, 81, 1170, 32, 5729, 346, 610, 330, 46680, 950, 291, 665, 1760, 1298, 26, 3831, 30, 706, 30, 5941, 30, 3218, 81, 3831, 30, 3309, 711, 324, 439, 280, 5865, 410, 14820, 26, 400, 706, 30, 1665, 30, 3218, 77, 34, 79, 474, 3218, 81, 3831, 77, 34, 614, 3218, 77, 35, 79, 474, 3218, 81, 3831, 77, 35, 614, 5941, 30, 26513, 5594, 35, 79, 324, 11828, 280, 31659, 32, 1809, 11000, 81, 6270, 26, 14820, 30, 439, 27, 324, 2384, 280, 429, 1808, 26, 4426, 77, 36, 79, 474, 11828, 77, 37, 1130, 324, 588, 1459, 3218, 77, 34, 79, 474, 3218, 81, 3831, 77, 34, 614, 3218, 77, 35, 79, 474, 3218, 81, 3831, 77, 35, 614, 298, 324, 415, 3309, 438, 646, 1665, 44, 400, 3309, 346, 324, 442, 2384, 284, 813, 44, 291, 3636, 10091, 463, 3817, 2793, 436, 15970, 81, 1170, 904, 101, 25, 904, 15970, 81, 1170, 27, 284, 3218, 35, 280, 18414, 32, 22926, 32, 88, 887, 26, 1977, 1298, 30, 2065, 32, 955, 2009, 21357, 30, 21179, 5727, 1378, 2181, 4310, 1891, 706, 30, 5941, 30, 3218, 81, 4332, 429, 21179, 30, 3309, 471, 1378, 1769, 1731, 47, 1449, 1731, 30, 24590, 47, 34, 27, 284, 442, 2065, 32, 955, 26, 3831, 81, 4332, 27, 429, 21179, 474, 3218, 35, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5247, 9410, 26, 784, 30, 1604, 30, 2678, 887, 47, 2521, 30, 2678, 1449, 47, 2521, 30, 489, 3953, 47, 2521, 711, 203, 1524, 20763, 312, 19315, 10365, 30, 810, 1510, 458, 14486, 438, 372, 526, 12044, 3032, 372, 5273, 8157, 322, 1604, 1591, 32, 31945, 44, 1604, 44, 322, 1604, 14486, 308, 278, 1980, 432, 6146, 12105, 556, 432, 312, 22948, 432, 561, 27, 2678, 887, 44, 7216, 11909, 31, 1719, 308, 2521, 372, 9921, 322, 4942, 2155, 6924, 27, 2678, 1449, 44, 8342, 11909, 31, 1719, 308, 2521, 372, 9921, 322, 4942, 2155, 6924, 27, 489, 3953, 44, 1451, 432, 4981, 372, 793, 328, 322, 4942, 816, 31, 3585, 308, 2521, 10071, 372, 322, 25624, 786, 17660, 322, 3134, 15500, 27, 40644, 44, 886, 19315, 10365, 19829, 810, 14399, 1741, 4335, 15500, 372, 322, 2432, 1399, 545, 47250, 461, 32718, 322, 12488, 432, 3623, 5845, 3528, 30, 16453, 810, 322, 554, 1718, 108, 580, 17568, 32, 3081, 36905, 438, 11508, 1991, 3497, 32, 1524, 584, 415, 2678, 887, 438, 1665, 44, 324, 2678, 887, 280, 1769, 26, 784, 32, 99, 32, 887, 1026, 1604, 32, 99, 32, 887, 1157, 291, 415, 2678, 1449, 438, 1665, 44, 324, 38808, 280, 1847, 26, 784, 32, 99, 32, 1449, 1026, 1604, 32, 99, 32, 1449, 1157, 291, 706, 35, 280, 630, 32, 5464, 26, 99, 887, 30, 2678, 1449, 27, 291, 706, 36, 280, 1604, 32, 5464, 26, 99, 887, 30, 2678, 1449, 27, 291, 415, 489, 3953, 438, 1665, 44, 324, 489, 3953, 280, 1847, 26, 1657, 26, 605, 35, 471, 2069, 26, 605, 36, 490, 291, 4942, 106, 280, 2065, 32, 24356, 26, 400, 1769, 26, 605, 35, 32, 99, 32, 887, 1026, 706, 36, 32, 99, 32, 887, 6182, 1847, 26, 605, 36, 32, 99, 32, 1449, 1026, 706, 35, 32, 99, 32, 1449, 6182, 489, 3953, 27, 291, 706, 35, 280, 706, 35, 32, 33386, 26, 2282, 106, 27, 291, 706, 36, 280, 706, 36, 32, 33386, 26, 2282, 106, 27, 291, 442, 48914, 81, 431, 100, 26, 605, 35, 32, 32198, 30, 706, 36, 32, 32198, 30, 706, 35, 32, 924, 30, 706, 36, 32, 924, 30, 9254, 816, 30, 312, 44, 312, 319, 816, 30, 428, 35, 33192, 34, 79, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 46991, 81, 8638, 81, 5138, 81, 331, 869, 26, 784, 30, 2098, 869, 711, 203, 1524, 6738, 5253, 3377, 328, 312, 40204, 5045, 2993, 584, 2098, 869, 81, 15655, 280, 2065, 32, 2951, 1162, 1657, 26, 784, 1114, 8638, 81, 5138, 471, 2069, 26, 784, 1114, 8638, 81, 5138, 2610, 291, 10193, 81, 1028, 81, 8638, 81, 5138, 280, 428, 91, 436, 595, 328, 2155, 26, 1657, 26, 784, 32, 5138, 5156, 415, 10000, 630, 1114, 8638, 81, 5138, 77, 91 ]
[ 79, 438, 646, 1665, 79, 291, 10193, 81, 1028, 81, 3994, 81, 5138, 280, 428, 91, 436, 595, 328, 2155, 26, 1657, 26, 784, 32, 5138, 5156, 415, 630, 1114, 8638, 81, 5138, 77, 91, 79, 438, 1665, 79, 291, 436, 595, 328, 2155, 26, 331, 869, 81, 15655, 32, 3229, 77, 34, 10794, 324, 415, 595, 328, 10193, 81, 1028, 81, 8638, 81, 5138, 44, 400, 588, 322, 595, 31, 9968, 2793, 1597, 5253, 32, 1348, 6058, 688, 322, 2698, 461, 2623, 8435, 372, 458, 2793, 400, 588, 2298, 526, 1665, 400, 2098, 869, 81, 15655, 77, 91, 30, 22913, 280, 225, 34, 400, 4036, 324, 436, 594, 328, 2155, 26, 331, 869, 81, 15655, 32, 3229, 77, 35, 10794, 400, 415, 594, 328, 10193, 81, 1028, 81, 8638, 81, 5138, 44, 528, 2098, 869, 81, 15655, 6894, 594, 79, 280, 225, 34, 528, 4036, 400, 2098, 869, 81, 15655, 77, 91, 30, 594, 79, 280, 2098, 869, 77, 7711, 81, 1028, 81, 3994, 81, 5138, 32, 1055, 26, 91, 471, 10193, 81, 1028, 81, 3994, 81, 5138, 32, 1055, 26, 92, 2177, 291, 442, 2098, 869, 81, 15655, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2454, 3965, 26, 784, 30, 4870, 44, 596, 27, 967, 2065, 32, 16771, 44, 1524, 3013, 312, 5941, 803, 7103, 584, 5941, 280, 18414, 32, 716, 32, 944, 1287, 26, 784, 32, 1809, 81, 761, 26, 3607, 30, 2769, 1057, 3965, 2847, 291, 5941, 678, 280, 428, 93, 436, 831, 328, 5941, 32, 3494, 346, 415, 646, 308, 93, 32, 15990, 14728, 683, 556, 831, 32, 20643, 14728, 2847, 1674, 34, 79, 291, 442, 5941, 77, 3965, 678, 997, 15315, 26, 2356, 32, 2420, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2454, 15617, 26, 784, 30, 296, 4636, 44, 629, 27, 967, 6015, 36, 32, 12105, 44, 1524, 3013, 312, 46748, 26703, 299, 14486, 2993, 584, 442, 6015, 36, 32, 12105, 32, 890, 81, 1070, 81, 761, 26, 784, 32, 1809, 81, 761, 26, 784, 1114, 327, 20565, 823, 474, 7610, 23, 34, 39, 86, 32, 2760, 25, 904, 296, 4636, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2866, 410, 36, 6161, 494, 26, 3607, 30, 2854, 7385, 30, 3081, 47, 2521, 711, 203, 1524, 5126, 322, 29135, 461, 1048, 23784, 372, 312, 803, 31945, 20921, 4870, 44, 802, 322, 636, 432, 322, 803, 2854, 7385, 44, 2065, 32, 16771, 322, 29135, 5045, 3081, 44, 2065, 32, 16771, 30, 5302, 322, 1048, 5045, 308, 3374, 526, 4102, 2521, 18769, 415, 1289, 1048, 5045, 438, 372, 526, 7511, 27, 5582, 20921, 1665, 1524, 446, 2769, 452, 2853, 280, 5053, 32198, 950, 2854, 7385, 111, 284, 415, 3081, 438, 646, 1665, 44, 291, 2769, 452, 2853, 710, 924, 785, 280, 3081, 284, 415, 4870, 32, 7607, 922, 20643, 3949, 13407, 76, 7831, 291, 2065, 32, 2853, 108, 26, 3607, 30, 1115, 7733, 452, 2853, 27, 284, 4348, 4870, 32, 7607, 922, 20643, 3949, 13238, 7831, 291, 18414, 32, 716, 32, 24957, 405, 269, 26, 3607, 30, 2769, 452, 2853, 27, 284, 813, 44, 225, 588, 1344, 803, 291, 2065, 32, 24957, 364, 4789, 26, 3607, 30, 2854, 7385, 27, 291, 415, 3081, 438, 646, 1665, 44, 324, 636, 30, 1447, 280, 2322, 32, 983, 32, 48271, 26, 3607, 27, 324, 2065, 32, 24957, 364, 4789, 26, 426, 474, 7610, 731, 25, 474, 1447, 30, 3081, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1491, 31624, 104, 36, 26, 3607, 30, 323, 1479, 407, 1057, 32, 31624, 370, 323, 22540, 407, 1057, 32, 18681, 88, 7831, 203, 1524, 2230, 312, 1503, 225, 36, 551, 503, 107, 2398, 2032, 31945, 20921, 4870, 44, 802, 322, 636, 432, 322, 1509, 803, 32, 8513, 883, 7624, 322, 6153, 3338, 556, 706, 761, 636, 556, 2258, 322, 1695, 636, 2876, 322, 11581, 32, 323, 1479, 407, 44, 802, 30, 5302, 322, 5016, 432, 322, 706, 803, 323, 22540, 407, 44, 802, 30, 5302, 322, 5016, 432, 322, 3338, 803, 5582, 20921, 322, 706, 5193, 328, 312, 5436, 32, 10268, 438, 3892, 10353, 3128, 32, 13907, 22253, 551, 3698, 104, 36, 3338, 461, 26703, 299, 706, 884, 7107, 24964, 328, 322, 3338, 461, 322, 706, 2276, 32, 15273, 322, 803, 636, 4335, 884, 3892, 32, 1524, 446, 19634, 280, 3338, 32, 850, 18681, 12308, 36, 26, 3607, 30, 2933, 30, 323, 1479, 407, 30, 323, 22540, 407, 27, 284, 442, 19634, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1491, 3303, 26, 3607, 711, 203, 1524, 2230, 312, 3134, 31, 25906, 26703, 299, 5257, 645, 312, 8359, 30033, 638, 893, 803, 32, 1524, 446, 938, 86, 280, 3338, 32, 850, 3303, 2111, 26, 3607, 27, 284, 623, 2156, 26, 3607, 30, 330, 4506, 683, 619, 296, 44, 291, 420, 280, 296, 32, 850, 26, 2034, 710, 4133, 1322, 3490, 291, 706, 280, 2065, 32, 1070, 800, 26, 324, 296, 32, 850, 26, 36, 319, 938, 86, 710, 74, 891, 785, 319, 938, 86, 710, 75, 891, 16578, 4145, 103, 36, 1814, 15315, 26, 2356, 32, 1808, 40, 38, 27, 291, 415, 938, 86, 710, 4363, 29795, 15047, 785, 848, 225, 34, 44, 324, 3636, 22210, 26, 400, 330, 1428, 1229, 2105, 2288, 225, 40, 39, 39, 37, 39, 884, 646, 6305, 5420, 22735, 291, 706, 280, 706, 32, 12091, 26, 2034, 710, 74, 891, 2188, 938, 86, 710, 75, 891, 3490, 284, 442, 706, 30, 938, 86, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 79, 438, 646, 1665, 79, 291, 10193, 81, 1028, 81, 3994, 81, 5138, 280, 428, 91, 436, 595, 328, 2155, 26, 1657, 26, 784, 32, 5138, 5156, 415, 630, 1114, 8638, 81, 5138, 77, 91, 79, 438, 1665, 79, 291, 436, 595, 328, 2155, 26, 331, 869, 81, 15655, 32, 3229, 77, 34, 10794, 324, 415, 595, 328, 10193, 81, 1028, 81, 8638, 81, 5138, 44, 400, 588, 322, 595, 31, 9968, 2793, 1597, 5253, 32, 1348, 6058, 688, 322, 2698, 461, 2623, 8435, 372, 458, 2793, 400, 588, 2298, 526, 1665, 400, 2098, 869, 81, 15655, 77, 91, 30, 22913, 280, 225, 34, 400, 4036, 324, 436, 594, 328, 2155, 26, 331, 869, 81, 15655, 32, 3229, 77, 35, 10794, 400, 415, 594, 328, 10193, 81, 1028, 81, 8638, 81, 5138, 44, 528, 2098, 869, 81, 15655, 6894, 594, 79, 280, 225, 34, 528, 4036, 400, 2098, 869, 81, 15655, 77, 91, 30, 594, 79, 280, 2098, 869, 77, 7711, 81, 1028, 81, 3994, 81, 5138, 32, 1055, 26, 91, 471, 10193, 81, 1028, 81, 3994, 81, 5138, 32, 1055, 26, 92, 2177, 291, 442, 2098, 869, 81, 15655, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2454, 3965, 26, 784, 30, 4870, 44, 596, 27, 967, 2065, 32, 16771, 44, 1524, 3013, 312, 5941, 803, 7103, 584, 5941, 280, 18414, 32, 716, 32, 944, 1287, 26, 784, 32, 1809, 81, 761, 26, 3607, 30, 2769, 1057, 3965, 2847, 291, 5941, 678, 280, 428, 93, 436, 831, 328, 5941, 32, 3494, 346, 415, 646, 308, 93, 32, 15990, 14728, 683, 556, 831, 32, 20643, 14728, 2847, 1674, 34, 79, 291, 442, 5941, 77, 3965, 678, 997, 15315, 26, 2356, 32, 2420, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2454, 15617, 26, 784, 30, 296, 4636, 44, 629, 27, 967, 6015, 36, 32, 12105, 44, 1524, 3013, 312, 46748, 26703, 299, 14486, 2993, 584, 442, 6015, 36, 32, 12105, 32, 890, 81, 1070, 81, 761, 26, 784, 32, 1809, 81, 761, 26, 784, 1114, 327, 20565, 823, 474, 7610, 23, 34, 39, 86, 32, 2760, 25, 904, 296, 4636, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2866, 410, 36, 6161, 494, 26, 3607, 30, 2854, 7385, 30, 3081, 47, 2521, 711, 203, 1524, 5126, 322, 29135, 461, 1048, 23784, 372, 312, 803, 31945, 20921, 4870, 44, 802, 322, 636, 432, 322, 803, 2854, 7385, 44, 2065, 32, 16771, 322, 29135, 5045, 3081, 44, 2065, 32, 16771, 30, 5302, 322, 1048, 5045, 308, 3374, 526, 4102, 2521, 18769, 415, 1289, 1048, 5045, 438, 372, 526, 7511, 27, 5582, 20921, 1665, 1524, 446, 2769, 452, 2853, 280, 5053, 32198, 950, 2854, 7385, 111, 284, 415, 3081, 438, 646, 1665, 44, 291, 2769, 452, 2853, 710, 924, 785, 280, 3081, 284, 415, 4870, 32, 7607, 922, 20643, 3949, 13407, 76, 7831, 291, 2065, 32, 2853, 108, 26, 3607, 30, 1115, 7733, 452, 2853, 27, 284, 4348, 4870, 32, 7607, 922, 20643, 3949, 13238, 7831, 291, 18414, 32, 716, 32, 24957, 405, 269, 26, 3607, 30, 2769, 452, 2853, 27, 284, 813, 44, 225, 588, 1344, 803, 291, 2065, 32, 24957, 364, 4789, 26, 3607, 30, 2854, 7385, 27, 291, 415, 3081, 438, 646, 1665, 44, 324, 636, 30, 1447, 280, 2322, 32, 983, 32, 48271, 26, 3607, 27, 324, 2065, 32, 24957, 364, 4789, 26, 426, 474, 7610, 731, 25, 474, 1447, 30, 3081, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1491, 31624, 104, 36, 26, 3607, 30, 323, 1479, 407, 1057, 32, 31624, 370, 323, 22540, 407, 1057, 32, 18681, 88, 7831, 203, 1524, 2230, 312, 1503, 225, 36, 551, 503, 107, 2398, 2032, 31945, 20921, 4870, 44, 802, 322, 636, 432, 322, 1509, 803, 32, 8513, 883, 7624, 322, 6153, 3338, 556, 706, 761, 636, 556, 2258, 322, 1695, 636, 2876, 322, 11581, 32, 323, 1479, 407, 44, 802, 30, 5302, 322, 5016, 432, 322, 706, 803, 323, 22540, 407, 44, 802, 30, 5302, 322, 5016, 432, 322, 3338, 803, 5582, 20921, 322, 706, 5193, 328, 312, 5436, 32, 10268, 438, 3892, 10353, 3128, 32, 13907, 22253, 551, 3698, 104, 36, 3338, 461, 26703, 299, 706, 884, 7107, 24964, 328, 322, 3338, 461, 322, 706, 2276, 32, 15273, 322, 803, 636, 4335, 884, 3892, 32, 1524, 446, 19634, 280, 3338, 32, 850, 18681, 12308, 36, 26, 3607, 30, 2933, 30, 323, 1479, 407, 30, 323, 22540, 407, 27, 284, 442, 19634, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1491, 3303, 26, 3607, 711, 203, 1524, 2230, 312, 3134, 31, 25906, 26703, 299, 5257, 645, 312, 8359, 30033, 638, 893, 803, 32, 1524, 446, 938, 86, 280, 3338, 32, 850, 3303, 2111, 26, 3607, 27, 284, 623, 2156, 26, 3607, 30, 330, 4506, 683, 619, 296, 44, 291, 420, 280, 296, 32, 850, 26, 2034, 710, 4133, 1322, 3490, 291, 706, 280, 2065, 32, 1070, 800, 26, 324, 296, 32, 850, 26, 36, 319, 938, 86, 710, 74, 891, 785, 319, 938, 86, 710, 75, 891, 16578, 4145, 103, 36, 1814, 15315, 26, 2356, 32, 1808, 40, 38, 27, 291, 415, 938, 86, 710, 4363, 29795, 15047, 785, 848, 225, 34, 44, 324, 3636, 22210, 26, 400, 330, 1428, 1229, 2105, 2288, 225, 40, 39, 39, 37, 39, 884, 646, 6305, 5420, 22735, 291, 706, 280, 706, 32, 12091, 26, 2034, 710, 74, 891, 2188, 938, 86, 710, 75, 891, 3490, 284, 442, 706, 30, 938, 86, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794 ]
[ 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2866, 31624, 104, 36, 26, 3607, 30, 323, 1479, 30, 323, 1479, 407, 1057, 32, 31624, 370, 323, 22540, 407, 1057, 32, 18681, 88, 7831, 203, 1524, 2538, 312, 1503, 225, 36, 551, 503, 107, 2398, 2032, 31945, 20921, 4870, 44, 802, 322, 636, 432, 322, 1688, 803, 32, 8513, 883, 7624, 322, 6153, 3338, 556, 706, 761, 636, 556, 2258, 322, 1695, 636, 2876, 322, 11581, 32, 323, 1479, 44, 5436, 322, 551, 3698, 5193, 308, 266, 322, 2432, 2179, 619, 3892, 810, 4102, 850, 31624, 104, 36, 42069, 323, 1479, 407, 44, 802, 30, 5302, 322, 5016, 432, 322, 706, 803, 323, 22540, 407, 44, 802, 30, 5302, 322, 5016, 432, 322, 3338, 803, 5582, 20921, 1665, 13907, 22253, 551, 3698, 104, 36, 3338, 461, 26703, 299, 706, 884, 7107, 24964, 328, 322, 3338, 461, 322, 706, 2276, 32, 15273, 322, 803, 636, 4335, 884, 7511, 32, 1524, 446, 415, 4870, 32, 20643, 26, 31624, 407, 711, 291, 29155, 280, 4870, 20129, 1657, 26, 31624, 407, 2177, 284, 4348, 4870, 32, 20643, 26, 18681, 88, 407, 711, 291, 29155, 280, 4870, 20129, 1657, 26, 18681, 88, 407, 2177, 284, 813, 44, 291, 29155, 280, 4870, 284, 3338, 32, 1821, 18681, 12308, 36, 26, 15705, 474, 5608, 18681, 88, 370, 323, 1479, 27, 284, 296, 280, 2156, 26, 15705, 474, 5608, 31624, 370, 330, 12108, 683, 284, 5036, 280, 2107, 20369, 4601, 370, 330, 20369, 2930, 370, 330, 47094, 4601, 370, 330, 47094, 2930, 370, 330, 64, 3349, 3476, 785, 284, 5036, 32, 8233, 26, 291, 428, 106, 436, 816, 328, 1149, 26, 31624, 32, 3494, 1157, 415, 6937, 26, 31624, 77, 106, 614, 2065, 32, 16771, 27, 461, 816, 646, 328, 5036, 1130, 284, 436, 831, 328, 5036, 44, 291, 415, 831, 646, 328, 1149, 26, 31624, 32, 3494, 22805, 324, 4036, 291, 296, 32, 1821, 3609, 23, 101, 22259, 86, 6069, 86, 10854, 96, 25, 904, 308, 93, 30, 323, 1479, 710, 3078, 449, 2188, 323, 1479, 710, 107, 3534, 7698, 291, 296, 32, 1821, 26, 2356, 32, 5346, 43, 34, 26, 31624, 77, 93, 614, 225, 37, 547, 15315, 463, 1808, 37, 36, 1814, 41243, 26, 1174, 1057, 56, 2847, 284, 296, 32, 2679, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5318, 81, 5281, 26, 34294, 81, 800, 711, 203, 588, 827, 44, 308, 3651, 27, 967, 3519, 1524, 17837, 973, 5816, 3714, 328, 312, 802, 32, 1348, 667, 7410, 3654, 688, 322, 802, 1401, 3104, 1510, 438, 38373, 432, 225, 38, 30, 461, 415, 646, 30, 5318, 101, 322, 5816, 15307, 623, 31117, 32, 499, 753, 596, 35966, 81, 800, 44, 802, 372, 526, 17355, 688, 4796, 25184, 3714, 31117, 32, 499, 601, 44, 10273, 35966, 802, 499, 18398, 44, 596, 1524, 446, 3104, 280, 2069, 26, 34294, 81, 800, 27, 284, 35861, 280, 2069, 26, 34294, 81, 800, 27, 904, 225, 38, 284, 415, 35861, 44, 291, 442, 35966, 81, 800, 32, 94, 4510, 26, 1322, 474, 225, 38, 429, 35861, 30, 323, 2473, 683, 284, 442, 35966, 81, 800, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 9843, 26, 12596, 711, 203, 588, 827, 44, 308, 3651, 27, 967, 3519, 1524, 27645, 322, 1056, 432, 2467, 800, 4770, 81, 1439, 40, 38, 81, 4434, 556, 312, 10605, 1695, 40, 38, 32, 4377, 5997, 2037, 2894, 312, 10605, 1695, 40, 38, 802, 1957, 646, 4799, 31117, 30, 27949, 31117, 623, 5040, 39842, 1957, 21950, 646, 299, 372, 561, 32, 8669, 30, 1695, 40, 38, 32, 965, 4770, 81, 84, 40, 38, 5460, 6972, 372, 9843, 4335, 10061, 461, 11135, 1695, 40, 38, 32, 20750, 458, 667, 1631, 2329, 526, 1654, 372, 9843, 322, 10605, 1695, 40, 38, 32, 499, 753, 308, 466, 30, 15390, 27, 11830, 44, 2467, 800, 4770, 81, 1439, 40, 38, 802, 556, 15390, 499, 18398, 44, 596, 30, 3519, 499, 601, 44, 17355, 802, 1524, 446, 35966, 81, 800, 280, 5318, 81, 5281, 26, 12596, 27, 284, 442, 1984, 4770, 81, 84, 40, 38, 5460, 26, 34294, 81, 800, 32, 3227, 26, 84, 2473, 370, 323, 25, 1057, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 21096, 81, 46061, 81, 2665, 26, 7318, 81, 2665, 30, 17584, 1057, 6418, 1769, 81, 46329, 81, 6299, 47, 2521, 711, 203, 1524, 37975, 312, 5436, 32, 31945, 20921, 4707, 81, 2665, 44, 5436, 322, 9473, 372, 21096, 17584, 44, 802, 30, 5302, 322, 17584, 1623, 328, 322, 5036, 432, 322, 21096, 318, 9473, 1769, 81, 46329, 81, 6299, 44, 11557, 4991, 30, 5302, 322, 1451, 432, 33798, 101, 372, 526, 3390, 32, 1665, 438, 9233, 4032, 32, 5582, 20921, 322, 21096, 318, 9473, 13907, 22253, 11072, 1994, 432, 529, 7318, 81, 2665, 82, 1510, 438, 646, 600, 1980, 432, 529, 2665, 82, 308, 271, 432, 312, 22948, 432, 561, 27, 438, 21301, 619, 438, 32, 886, 10714, 884, 23902, 619, 11588, 32, 1670, 4102, 7318, 81, 2665, 710, 678, 81, 2665, 785, 572, 438, 600, 1980, 432, 529, 2665, 82, 308, 271, 432, 312, 22948, 432, 529, 2665, 12212, 312, 8435, 1202, 432, 322, 2234, 4102, 678, 81, 2665, 46, 12637, 772, 678, 81, 266, 81, 678, 81, 2665, 48, 572, 1098, 526, 3272, 328, 4102, 7318, 81, 2665, 572, 623, 322, 786, 432, 4102, 7318, 81, 2665, 710, 678, 81, 2665, 4902, 678, 81, 266, 81, 678, 81, 2665, 785, 16688, 1670, 688, 786, 438, 312, 22948, 432, 529, 2665, 82, 619, 4487, 30, 322, 2432, 10023, 438, 16834, 6222, 322, 7091, 33798, 7713, 438, 16673, 32, 9287, 802, 5036, 884, 5420, 32, 1524, 446, 415, 1769, 81, 46329, 81, 6299, 438, 646, 1665, 461, 1769 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2866, 31624, 104, 36, 26, 3607, 30, 323, 1479, 30, 323, 1479, 407, 1057, 32, 31624, 370, 323, 22540, 407, 1057, 32, 18681, 88, 7831, 203, 1524, 2538, 312, 1503, 225, 36, 551, 503, 107, 2398, 2032, 31945, 20921, 4870, 44, 802, 322, 636, 432, 322, 1688, 803, 32, 8513, 883, 7624, 322, 6153, 3338, 556, 706, 761, 636, 556, 2258, 322, 1695, 636, 2876, 322, 11581, 32, 323, 1479, 44, 5436, 322, 551, 3698, 5193, 308, 266, 322, 2432, 2179, 619, 3892, 810, 4102, 850, 31624, 104, 36, 42069, 323, 1479, 407, 44, 802, 30, 5302, 322, 5016, 432, 322, 706, 803, 323, 22540, 407, 44, 802, 30, 5302, 322, 5016, 432, 322, 3338, 803, 5582, 20921, 1665, 13907, 22253, 551, 3698, 104, 36, 3338, 461, 26703, 299, 706, 884, 7107, 24964, 328, 322, 3338, 461, 322, 706, 2276, 32, 15273, 322, 803, 636, 4335, 884, 7511, 32, 1524, 446, 415, 4870, 32, 20643, 26, 31624, 407, 711, 291, 29155, 280, 4870, 20129, 1657, 26, 31624, 407, 2177, 284, 4348, 4870, 32, 20643, 26, 18681, 88, 407, 711, 291, 29155, 280, 4870, 20129, 1657, 26, 18681, 88, 407, 2177, 284, 813, 44, 291, 29155, 280, 4870, 284, 3338, 32, 1821, 18681, 12308, 36, 26, 15705, 474, 5608, 18681, 88, 370, 323, 1479, 27, 284, 296, 280, 2156, 26, 15705, 474, 5608, 31624, 370, 330, 12108, 683, 284, 5036, 280, 2107, 20369, 4601, 370, 330, 20369, 2930, 370, 330, 47094, 4601, 370, 330, 47094, 2930, 370, 330, 64, 3349, 3476, 785, 284, 5036, 32, 8233, 26, 291, 428, 106, 436, 816, 328, 1149, 26, 31624, 32, 3494, 1157, 415, 6937, 26, 31624, 77, 106, 614, 2065, 32, 16771, 27, 461, 816, 646, 328, 5036, 1130, 284, 436, 831, 328, 5036, 44, 291, 415, 831, 646, 328, 1149, 26, 31624, 32, 3494, 22805, 324, 4036, 291, 296, 32, 1821, 3609, 23, 101, 22259, 86, 6069, 86, 10854, 96, 25, 904, 308, 93, 30, 323, 1479, 710, 3078, 449, 2188, 323, 1479, 710, 107, 3534, 7698, 291, 296, 32, 1821, 26, 2356, 32, 5346, 43, 34, 26, 31624, 77, 93, 614, 225, 37, 547, 15315, 463, 1808, 37, 36, 1814, 41243, 26, 1174, 1057, 56, 2847, 284, 296, 32, 2679, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5318, 81, 5281, 26, 34294, 81, 800, 711, 203, 588, 827, 44, 308, 3651, 27, 967, 3519, 1524, 17837, 973, 5816, 3714, 328, 312, 802, 32, 1348, 667, 7410, 3654, 688, 322, 802, 1401, 3104, 1510, 438, 38373, 432, 225, 38, 30, 461, 415, 646, 30, 5318, 101, 322, 5816, 15307, 623, 31117, 32, 499, 753, 596, 35966, 81, 800, 44, 802, 372, 526, 17355, 688, 4796, 25184, 3714, 31117, 32, 499, 601, 44, 10273, 35966, 802, 499, 18398, 44, 596, 1524, 446, 3104, 280, 2069, 26, 34294, 81, 800, 27, 284, 35861, 280, 2069, 26, 34294, 81, 800, 27, 904, 225, 38, 284, 415, 35861, 44, 291, 442, 35966, 81, 800, 32, 94, 4510, 26, 1322, 474, 225, 38, 429, 35861, 30, 323, 2473, 683, 284, 442, 35966, 81, 800, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 9843, 26, 12596, 711, 203, 588, 827, 44, 308, 3651, 27, 967, 3519, 1524, 27645, 322, 1056, 432, 2467, 800, 4770, 81, 1439, 40, 38, 81, 4434, 556, 312, 10605, 1695, 40, 38, 32, 4377, 5997, 2037, 2894, 312, 10605, 1695, 40, 38, 802, 1957, 646, 4799, 31117, 30, 27949, 31117, 623, 5040, 39842, 1957, 21950, 646, 299, 372, 561, 32, 8669, 30, 1695, 40, 38, 32, 965, 4770, 81, 84, 40, 38, 5460, 6972, 372, 9843, 4335, 10061, 461, 11135, 1695, 40, 38, 32, 20750, 458, 667, 1631, 2329, 526, 1654, 372, 9843, 322, 10605, 1695, 40, 38, 32, 499, 753, 308, 466, 30, 15390, 27, 11830, 44, 2467, 800, 4770, 81, 1439, 40, 38, 802, 556, 15390, 499, 18398, 44, 596, 30, 3519, 499, 601, 44, 17355, 802, 1524, 446, 35966, 81, 800, 280, 5318, 81, 5281, 26, 12596, 27, 284, 442, 1984, 4770, 81, 84, 40, 38, 5460, 26, 34294, 81, 800, 32, 3227, 26, 84, 2473, 370, 323, 25, 1057, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 21096, 81, 46061, 81, 2665, 26, 7318, 81, 2665, 30, 17584, 1057, 6418, 1769, 81, 46329, 81, 6299, 47, 2521, 711, 203, 1524, 37975, 312, 5436, 32, 31945, 20921, 4707, 81, 2665, 44, 5436, 322, 9473, 372, 21096, 17584, 44, 802, 30, 5302, 322, 17584, 1623, 328, 322, 5036, 432, 322, 21096, 318, 9473, 1769, 81, 46329, 81, 6299, 44, 11557, 4991, 30, 5302, 322, 1451, 432, 33798, 101, 372, 526, 3390, 32, 1665, 438, 9233, 4032, 32, 5582, 20921, 322, 21096, 318, 9473, 13907, 22253, 11072, 1994, 432, 529, 7318, 81, 2665, 82, 1510, 438, 646, 600, 1980, 432, 529, 2665, 82, 308, 271, 432, 312, 22948, 432, 561, 27, 438, 21301, 619, 438, 32, 886, 10714, 884, 23902, 619, 11588, 32, 1670, 4102, 7318, 81, 2665, 710, 678, 81, 2665, 785, 572, 438, 600, 1980, 432, 529, 2665, 82, 308, 271, 432, 312, 22948, 432, 529, 2665, 12212, 312, 8435, 1202, 432, 322, 2234, 4102, 678, 81, 2665, 46, 12637, 772, 678, 81, 266, 81, 678, 81, 2665, 48, 572, 1098, 526, 3272, 328, 4102, 7318, 81, 2665, 572, 623, 322, 786, 432, 4102, 7318, 81, 2665, 710, 678, 81, 2665, 4902, 678, 81, 266, 81, 678, 81, 2665, 785, 16688, 1670, 688, 786, 438, 312, 22948, 432, 529, 2665, 82, 619, 4487, 30, 322, 2432, 10023, 438, 16834, 6222, 322, 7091, 33798, 7713, 438, 16673, 32, 9287, 802, 5036, 884, 5420, 32, 1524, 446, 415, 1769, 81, 46329, 81, 6299, 438, 646, 1665, 461, 1769 ]
[ 81, 46329, 81, 6299, 2511, 225, 34, 44, 291, 588, 996, 16673, 322, 7091, 33798, 7713, 30, 2488, 539, 372, 1983, 9686, 291, 442, 4707, 81, 2665, 284, 415, 1769, 81, 46329, 81, 6299, 438, 1665, 44, 291, 2354, 81, 46329, 81, 6299, 280, 1665, 284, 813, 44, 291, 2354, 81, 46329, 81, 6299, 280, 1769, 81, 46329, 81, 6299, 429, 225, 35, 284, 5436, 35, 280, 2149, 284, 436, 831, 328, 4707, 81, 2665, 44, 291, 415, 646, 6937, 26, 7318, 81, 2665, 77, 93, 614, 5436, 711, 324, 5436, 35, 77, 93, 79, 280, 4707, 81, 2665, 77, 93, 79, 291, 813, 44, 324, 5436, 81, 20077, 1246, 280, 21096, 81, 46061, 81, 2665, 26, 400, 4707, 81, 2665, 77, 93, 614, 17584, 30, 2354, 81, 46329, 81, 6299, 27, 324, 5436, 35, 32, 1877, 26, 400, 5436, 43270, 93, 474, 17584, 474, 816, 30, 5436, 81, 20077, 1246, 77, 106, 1130, 436, 816, 328, 5436, 81, 20077, 1246, 5259, 284, 442, 5436, 35, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8157, 81, 615, 514, 290, 503, 26, 99, 30, 2854, 7385, 30, 3081, 30, 559, 34, 47, 2521, 30, 540, 47, 2521, 711, 203, 1524, 2555, 312, 2415, 514, 31, 6433, 503, 38330, 544, 322, 26703, 299, 706, 32, 31945, 44, 2678, 44, 2065, 32, 16771, 77, 29704, 47, 35, 79, 4026, 432, 322, 2678, 2078, 308, 38, 28, 1295, 28, 7102, 26, 10753, 4165, 5962, 27, 2854, 7385, 44, 2065, 32, 16771, 77, 29704, 47, 35, 79, 2854, 7385, 4026, 3081, 44, 2065, 32, 16771, 77, 29704, 47, 35, 79, 3081, 432, 322, 29135, 308, 11148, 42970, 30, 225, 35, 11756, 27, 559, 34, 44, 13145, 1932, 11089, 436, 322, 5651, 10423, 308, 2521, 372, 7120, 402, 9284, 30, 1244, 27, 540, 44, 2065, 32, 16771, 77, 29704, 47, 35, 79, 4026, 432, 322, 1399, 545, 47250, 432, 322, 14302, 1334, 7433, 308, 2521, 372, 7120, 402, 9284, 30, 1244, 27, 5582, 44, 399, 44, 3081, 882, 322, 8157, 3251, 786, 432, 322, 29135, 19315, 10365, 540, 34, 44, 322, 540, 34, 3395, 432, 322, 1769, 105, 8740, 278, 1334, 7433, 310, 44, 322, 310, 3395, 432, 322, 1769, 105, 8740, 278, 1334, 7433, 540, 44, 322, 1399, 545, 47250, 432, 322, 8157, 3251, 1334, 7433, 1769, 105, 44, 322, 1334, 7433, 6314, 44, 322, 14564, 9473, 30, 4717, 810, 310, 3246, 99, 81, 4698, 346, 5830, 44, 1348, 1932, 33243, 436, 540, 34, 30, 1510, 5273, 10081, 5052, 322, 1245, 26, 32198, 27, 8480, 32, 1245, 26, 99, 326, 36, 29, 37, 33, 100, 34, 326, 36, 27, 14772, 32, 9723, 458, 438, 2431, 30, 322, 3377, 432, 322, 8157, 3251, 1628, 7624, 322, 3377, 432, 312, 7462, 105, 8740, 278, 31, 6228, 19557, 1334, 7433, 667, 32, 9723, 561, 312, 7240, 6225, 36535, 38330, 438, 40435, 963, 30, 1471, 322, 17269, 2078, 619, 2815, 3377, 32, 1524, 446, 2678, 280, 2065, 32, 955, 26, 99, 27, 284, 2854, 7385, 280, 2065, 32, 955, 26, 32198, 27, 284, 3081, 280, 2065, 32, 955, 26, 924, 27, 284, 415, 559, 34, 438, 1665, 44, 291, 540, 34, 101, 280, 2065, 32, 24356, 26, 35, 30, 225, 36, 319, 2065, 32, 1295, 517, 2678, 32, 887, 1026, 225, 35, 34, 34, 34, 27, 291, 665, 5499, 661, 81, 4698, 81, 15142, 36, 26, 99, 30, 2854, 7385, 30, 540, 34, 711, 324, 298, 280, 2065, 32, 8541, 4698, 26, 2356, 32, 751, 26, 99, 1115, 225, 36, 474, 225, 37, 517, 540, 34, 1115, 225, 36, 471, 2065, 32, 751, 26, 32198, 471, 225, 35, 27, 324, 442, 1833, 2356, 32, 8541, 695, 26, 98, 30, 2678, 27, 429, 2854, 7385, 27, 1115, 225, 36, 547, 1036, 346, 517, 308, 1657, 26, 99, 27, 429, 225, 37, 27, 291, 25549, 36, 280, 2065, 32, 955, 2009, 3258, 661, 81, 4698, 81, 15142, 36, 26, 99, 30, 2854, 7385, 30, 540, 34, 27, 436, 540, 34, 328, 540, 34, 101, 32, 25880, 27944, 291, 559, 34, 280, 540, 34, 101, 77, 15142, 36, 610, 25549, 36, 32, 887, 346, 1674, 34, 79, 284, 665, 5499, 661, 81, 4698, 26, 99, 30, 2854, 7385, 30, 540, 34, 711, 291, 298, 280, 2065, 32, 8541, 4698, 26, 2356, 32, 751, 26, 99, 1115, 225, 36, 474, 225, 37, 517, 540, 34, 1115, 225, 36, 471, 2065, 32, 751, 26, 32198, 471, 225, 35, 27, 291, 442, 2065, 32, 2832, 26, 98, 77, 35, 5727, 429, 36, 319, 298, 77, 34, 79, 429, 225, 38, 284, 1224, 30, 310, 280, 5499, 661, 81, 4698, 26, 99, 30, 2854, 7385, 30, 559, 34, 27, 284, 665, 22884, 81, 1126, 26, 99, 30, 399, 30, 540, 34, 30, 310, 711, 291, 442, 399, 319, 308, 99, 1115, 225, 36, 474, 225, 37, 517, 540, 34, 1115, 225, 36, 27, 1115, 7197, 26, 96, 474, 225, 38, 7447, 319, 225, 34, 32, 39, 27, 284, 298, 30, 11339, 30, 6314, 2665, 280, 8792, 3246, 99, 32, 96, 3246, 99, 81, 4698, 26, 99, 30, 2854, 7385, 30, 3081, 30, 22884, 81, 1126, 30, 308, 61, 30, 559, 34, 30, 310, 490, 284, 310, 280, 3081, 882, 26, 98, 77, 36, 614, 11339, 77, 36, 1130, 284, 540, 34, 280, 3081, 882, 26, 98, 77, 35, 614, 11339, 77, 35, 1130, 284, 399, 280, 3081, 882, 26, 98, 77, 34, 614, 11339, 77, 34, 1130, 284, 415, 540, 438, 1665, 44, 291, 540, 280, 2065, 32, 24356, 26, 2356, 32, 1295, 517, 2678, 32, 1449, 1026, 2065, 32, 1295, 517, 2678, 32, 887, 1026, 225, 35, 34, 34, 34, 27, 284, 442, 399, 30, 540, 34, 30, 310, 30, 540, 30, 1769, 105, 8740, 278, 26, 100, 30, 540, 34, 30, 310, 471, 6314, 2665, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 81, 46329, 81, 6299, 2511, 225, 34, 44, 291, 588, 996, 16673, 322, 7091, 33798, 7713, 30, 2488, 539, 372, 1983, 9686, 291, 442, 4707, 81, 2665, 284, 415, 1769, 81, 46329, 81, 6299, 438, 1665, 44, 291, 2354, 81, 46329, 81, 6299, 280, 1665, 284, 813, 44, 291, 2354, 81, 46329, 81, 6299, 280, 1769, 81, 46329, 81, 6299, 429, 225, 35, 284, 5436, 35, 280, 2149, 284, 436, 831, 328, 4707, 81, 2665, 44, 291, 415, 646, 6937, 26, 7318, 81, 2665, 77, 93, 614, 5436, 711, 324, 5436, 35, 77, 93, 79, 280, 4707, 81, 2665, 77, 93, 79, 291, 813, 44, 324, 5436, 81, 20077, 1246, 280, 21096, 81, 46061, 81, 2665, 26, 400, 4707, 81, 2665, 77, 93, 614, 17584, 30, 2354, 81, 46329, 81, 6299, 27, 324, 5436, 35, 32, 1877, 26, 400, 5436, 43270, 93, 474, 17584, 474, 816, 30, 5436, 81, 20077, 1246, 77, 106, 1130, 436, 816, 328, 5436, 81, 20077, 1246, 5259, 284, 442, 5436, 35, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8157, 81, 615, 514, 290, 503, 26, 99, 30, 2854, 7385, 30, 3081, 30, 559, 34, 47, 2521, 30, 540, 47, 2521, 711, 203, 1524, 2555, 312, 2415, 514, 31, 6433, 503, 38330, 544, 322, 26703, 299, 706, 32, 31945, 44, 2678, 44, 2065, 32, 16771, 77, 29704, 47, 35, 79, 4026, 432, 322, 2678, 2078, 308, 38, 28, 1295, 28, 7102, 26, 10753, 4165, 5962, 27, 2854, 7385, 44, 2065, 32, 16771, 77, 29704, 47, 35, 79, 2854, 7385, 4026, 3081, 44, 2065, 32, 16771, 77, 29704, 47, 35, 79, 3081, 432, 322, 29135, 308, 11148, 42970, 30, 225, 35, 11756, 27, 559, 34, 44, 13145, 1932, 11089, 436, 322, 5651, 10423, 308, 2521, 372, 7120, 402, 9284, 30, 1244, 27, 540, 44, 2065, 32, 16771, 77, 29704, 47, 35, 79, 4026, 432, 322, 1399, 545, 47250, 432, 322, 14302, 1334, 7433, 308, 2521, 372, 7120, 402, 9284, 30, 1244, 27, 5582, 44, 399, 44, 3081, 882, 322, 8157, 3251, 786, 432, 322, 29135, 19315, 10365, 540, 34, 44, 322, 540, 34, 3395, 432, 322, 1769, 105, 8740, 278, 1334, 7433, 310, 44, 322, 310, 3395, 432, 322, 1769, 105, 8740, 278, 1334, 7433, 540, 44, 322, 1399, 545, 47250, 432, 322, 8157, 3251, 1334, 7433, 1769, 105, 44, 322, 1334, 7433, 6314, 44, 322, 14564, 9473, 30, 4717, 810, 310, 3246, 99, 81, 4698, 346, 5830, 44, 1348, 1932, 33243, 436, 540, 34, 30, 1510, 5273, 10081, 5052, 322, 1245, 26, 32198, 27, 8480, 32, 1245, 26, 99, 326, 36, 29, 37, 33, 100, 34, 326, 36, 27, 14772, 32, 9723, 458, 438, 2431, 30, 322, 3377, 432, 322, 8157, 3251, 1628, 7624, 322, 3377, 432, 312, 7462, 105, 8740, 278, 31, 6228, 19557, 1334, 7433, 667, 32, 9723, 561, 312, 7240, 6225, 36535, 38330, 438, 40435, 963, 30, 1471, 322, 17269, 2078, 619, 2815, 3377, 32, 1524, 446, 2678, 280, 2065, 32, 955, 26, 99, 27, 284, 2854, 7385, 280, 2065, 32, 955, 26, 32198, 27, 284, 3081, 280, 2065, 32, 955, 26, 924, 27, 284, 415, 559, 34, 438, 1665, 44, 291, 540, 34, 101, 280, 2065, 32, 24356, 26, 35, 30, 225, 36, 319, 2065, 32, 1295, 517, 2678, 32, 887, 1026, 225, 35, 34, 34, 34, 27, 291, 665, 5499, 661, 81, 4698, 81, 15142, 36, 26, 99, 30, 2854, 7385, 30, 540, 34, 711, 324, 298, 280, 2065, 32, 8541, 4698, 26, 2356, 32, 751, 26, 99, 1115, 225, 36, 474, 225, 37, 517, 540, 34, 1115, 225, 36, 471, 2065, 32, 751, 26, 32198, 471, 225, 35, 27, 324, 442, 1833, 2356, 32, 8541, 695, 26, 98, 30, 2678, 27, 429, 2854, 7385, 27, 1115, 225, 36, 547, 1036, 346, 517, 308, 1657, 26, 99, 27, 429, 225, 37, 27, 291, 25549, 36, 280, 2065, 32, 955, 2009, 3258, 661, 81, 4698, 81, 15142, 36, 26, 99, 30, 2854, 7385, 30, 540, 34, 27, 436, 540, 34, 328, 540, 34, 101, 32, 25880, 27944, 291, 559, 34, 280, 540, 34, 101, 77, 15142, 36, 610, 25549, 36, 32, 887, 346, 1674, 34, 79, 284, 665, 5499, 661, 81, 4698, 26, 99, 30, 2854, 7385, 30, 540, 34, 711, 291, 298, 280, 2065, 32, 8541, 4698, 26, 2356, 32, 751, 26, 99, 1115, 225, 36, 474, 225, 37, 517, 540, 34, 1115, 225, 36, 471, 2065, 32, 751, 26, 32198, 471, 225, 35, 27, 291, 442, 2065, 32, 2832, 26, 98, 77, 35, 5727, 429, 36, 319, 298, 77, 34, 79, 429, 225, 38, 284, 1224, 30, 310, 280, 5499, 661, 81, 4698, 26, 99, 30, 2854, 7385, 30, 559, 34, 27, 284, 665, 22884, 81, 1126, 26, 99, 30, 399, 30, 540, 34, 30, 310, 711, 291, 442, 399, 319, 308, 99, 1115, 225, 36, 474, 225, 37, 517, 540, 34, 1115, 225, 36, 27, 1115, 7197, 26, 96, 474, 225, 38, 7447, 319, 225, 34, 32, 39, 27, 284, 298, 30, 11339, 30, 6314, 2665, 280, 8792, 3246, 99, 32, 96, 3246, 99, 81, 4698, 26, 99, 30, 2854, 7385, 30, 3081, 30, 22884, 81, 1126, 30, 308, 61, 30, 559, 34, 30, 310, 490, 284, 310, 280, 3081, 882, 26, 98, 77, 36, 614, 11339, 77, 36, 1130, 284, 540, 34, 280, 3081, 882, 26, 98, 77, 35, 614, 11339, 77, 35, 1130, 284, 399, 280, 3081, 882, 26, 98, 77, 34, 614, 11339, 77, 34, 1130, 284, 415, 540, 438, 1665, 44, 291, 540, 280, 2065, 32, 24356, 26, 2356, 32, 1295, 517, 2678, 32, 1449, 1026, 2065, 32, 1295, 517, 2678, 32, 887, 1026, 225, 35, 34, 34, 34, 27, 284, 442, 399, 30, 540, 34, 30, 310, 30, 540, 30, 1769, 105, 8740, 278, 26, 100, 30, 540, 34, 30, 310, 471, 6314, 2665, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234 ]
[ 44, 203, 665, 2290, 761, 552, 19845, 26, 3607, 30, 29141, 47, 2521, 30, 793, 81, 2958, 983, 47, 1815, 30, 793, 81, 1903, 983, 47, 1815, 30, 646, 6264, 81, 297, 81, 23766, 47, 1815, 30, 646, 6264, 81, 695, 47, 2521, 711, 203, 1524, 4868, 803, 328, 4609, 14904, 32, 31945, 44, 4870, 44, 322, 803, 636, 372, 526, 27883, 436, 32, 29141, 44, 1149, 432, 18647, 556, 1665, 793, 81, 2958, 983, 44, 793, 322, 4865, 2297, 3233, 1519, 793, 81, 1903, 983, 44, 793, 322, 309, 633, 1052, 3233, 1519, 32, 646, 6264, 81, 297, 81, 23766, 44, 415, 600, 3756, 438, 372, 526, 19565, 415, 322, 803, 4881, 526, 2431, 32, 646, 6264, 81, 695, 44, 322, 786, 1510, 1395, 526, 4717, 415, 322, 803, 438, 646, 2431, 308, 2585, 10088, 415, 646, 6264, 81, 297, 81, 23766, 438, 3177, 27, 40644, 44, 322, 3536, 1519, 432, 322, 803, 32, 13907, 44, 415, 4870, 438, 600, 7976, 1519, 810, 8015, 30, 18647, 328, 330, 1515, 25, 7606, 1330, 526, 8137, 30, 1755, 322, 31283, 432, 322, 803, 1098, 526, 20442, 32, 1524, 446, 415, 2322, 32, 983, 32, 297, 3596, 26, 3607, 711, 291, 415, 2322, 32, 983, 32, 4658, 26, 3607, 711, 324, 442, 4870, 291, 4348, 646, 6264, 81, 297, 81, 23766, 44, 324, 3636, 45338, 463, 974, 330, 474, 4870, 474, 330, 646, 2431, 11834, 291, 813, 44, 324, 442, 646, 6264, 81, 695, 284, 415, 29141, 438, 1665, 44, 291, 29141, 280, 1605, 284, 29141, 280, 13316, 81, 668, 2669, 26, 15615, 27, 284, 415, 646, 29141, 44, 225, 588, 29141, 438, 3502, 291, 29141, 280, 2107, 32, 785, 284, 415, 793, 81, 2958, 983, 44, 291, 29141, 32, 8233, 26, 3731, 32, 983, 27, 284, 415, 793, 81, 1903, 983, 44, 291, 29141, 32, 8233, 26, 101, 633, 1052, 81, 1903, 81, 983, 27, 284, 588, 11764, 3165, 461, 3165, 496, 33036, 284, 29141, 280, 428, 500, 32, 983, 32, 8931, 496, 26, 86, 27, 436, 343, 328, 29141, 79, 284, 4082, 32, 2811, 463, 47648, 436, 803, 904, 101, 328, 10204, 18647, 44, 904, 101, 25, 904, 308, 3607, 30, 5769, 5608, 2524, 26, 15615, 2610, 284, 436, 343, 328, 29141, 44, 291, 415, 2322, 32, 983, 32, 4658, 26, 500, 32, 983, 32, 2524, 26, 86, 30, 4870, 8531, 324, 4082, 32, 2811, 463, 3595, 803, 904, 101, 328, 4844, 904, 101, 4564, 904, 308, 3607, 30, 343, 490, 324, 442, 2322, 32, 983, 32, 2524, 26, 86, 30, 4870, 27, 284, 4082, 32, 2811, 463, 1337, 2431, 803, 904, 101, 328, 1346, 18647, 4564, 904, 4870, 27, 284, 415, 646, 6264, 81, 297, 81, 23766, 44, 291, 3636, 45338, 463, 974, 904, 101, 646, 2431, 328, 1346, 432, 322, 14904, 4564, 904, 4870, 27, 284, 813, 44, 291, 442, 646, 6264, 81, 695, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8206, 366, 292, 1349, 26, 4873, 30, 323, 9995, 30, 323, 2479, 30, 26513, 891, 462, 2452, 711, 203, 1524, 20763, 322, 3134, 31, 10753, 5045, 436, 312, 26703, 299, 5045, 31945, 44, 5045, 44, 1755, 322, 6024, 432, 561, 438, 5349, 323, 9995, 30, 323, 2479, 44, 25203, 2747, 308, 998, 299, 645, 225, 34, 45, 816, 438, 2698, 30, 533, 438, 2623, 1650, 27, 26513, 891, 462, 2452, 44, 322, 6573, 1334, 32235, 810, 322, 3964, 31, 452, 31, 19124, 7291, 40644, 44, 322, 3134, 17210, 5045, 30, 2432, 6024, 619, 330, 4873, 2473, 1524, 446, 932, 30, 2698, 280, 2065, 32, 7174, 3365, 26, 668, 26, 3585, 26, 4873, 32, 3229, 77, 35, 29485, 1149, 26, 3585, 26, 4873, 32, 3229, 77, 34, 25200, 284, 442, 2065, 32, 282, 288, 278, 26, 2356, 32, 8663, 1162, 643, 429, 323, 9995, 27, 1115, 225, 36, 474, 308, 748, 429, 323, 2479, 27, 1115, 225, 36, 27, 319, 26513, 891, 462, 2452, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4810, 3695, 26, 4148, 366, 292, 1349, 30, 38090, 730, 402, 102, 412, 655, 18203, 30, 6573, 891, 47, 2521, 711, 203, 1524, 19453, 31, 3695, 25683, 436, 3134, 31, 25906, 38254, 5703, 31945, 44, 8206, 366, 292, 1349, 44, 5045, 432, 3134, 31, 10753, 2078, 38090, 730, 402, 102, 412, 655, 18203, 44, 3964, 31, 452, 31, 19124, 7291, 6573, 891, 44, 322, 6573, 1334, 328, 12198, 886, 1688, 5045, 438, 432, 322, 2432, 6024, 619, 8206, 366, 292, 1349, 32, 886, 26703, 299, 29135, 5045, 1395, 526, 12044, 3032, 810, 561, 32, 1524, 446, 415, 6573, 891, 438, 1665, 44, 291, 6573, 891, 280, 225, 35, 284, 442, 38090, 730, 402, 102, 412, 655, 18203, 1115, 225, 36, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 27, 1115, 225, 37, 517, 6573, 891, 1115, 225, 36, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4810, 3695, 81, 731, 4641, 26, 4148, 366, 292, 1349, 30, 343, 4148, 366, 292, 1349, 30, 38090, 730, 402, 102, 412, 655, 18203, 30, 10180, 757, 730, 402, 102, 412, 655, 18203, 30, 6573, 891, 47, 2521, 711, 203, 1524, 19453, 31, 3695, 25683, 436, 3134, 31, 25906, 38254, 5703, 623, 1048, 36905, 31945, 44, 8206, 366, 292, 1349, 44, 5045, 432, 3134, 31, 10753, 2078, 343, 4148, 366, 292, 1349, 44, 5045, 432, 7976, 1048, 432, 3134, 31, 10753, 2078, 38090, 730, 402, 102, 412, 655, 18203, 44, 3964, 31, 452, 31, 19124, 7291, 10180, 757, 730, 402, 102, 412, 655, 18203, 44, 7976, 1048, 432, 3964, 31, 452, 31, 19124, 7291, 40644, 3134, 23784, 432, 322, 2432, 6024, 619, 8206, 366, 292, 1349, 32, 886, 26703, 299, 29135, 5045, 1395, 526, 12044, 3032, 810, 322, 1932, 1591, 32, 886, 3100, 1591, 438, 322 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 44, 203, 665, 2290, 761, 552, 19845, 26, 3607, 30, 29141, 47, 2521, 30, 793, 81, 2958, 983, 47, 1815, 30, 793, 81, 1903, 983, 47, 1815, 30, 646, 6264, 81, 297, 81, 23766, 47, 1815, 30, 646, 6264, 81, 695, 47, 2521, 711, 203, 1524, 4868, 803, 328, 4609, 14904, 32, 31945, 44, 4870, 44, 322, 803, 636, 372, 526, 27883, 436, 32, 29141, 44, 1149, 432, 18647, 556, 1665, 793, 81, 2958, 983, 44, 793, 322, 4865, 2297, 3233, 1519, 793, 81, 1903, 983, 44, 793, 322, 309, 633, 1052, 3233, 1519, 32, 646, 6264, 81, 297, 81, 23766, 44, 415, 600, 3756, 438, 372, 526, 19565, 415, 322, 803, 4881, 526, 2431, 32, 646, 6264, 81, 695, 44, 322, 786, 1510, 1395, 526, 4717, 415, 322, 803, 438, 646, 2431, 308, 2585, 10088, 415, 646, 6264, 81, 297, 81, 23766, 438, 3177, 27, 40644, 44, 322, 3536, 1519, 432, 322, 803, 32, 13907, 44, 415, 4870, 438, 600, 7976, 1519, 810, 8015, 30, 18647, 328, 330, 1515, 25, 7606, 1330, 526, 8137, 30, 1755, 322, 31283, 432, 322, 803, 1098, 526, 20442, 32, 1524, 446, 415, 2322, 32, 983, 32, 297, 3596, 26, 3607, 711, 291, 415, 2322, 32, 983, 32, 4658, 26, 3607, 711, 324, 442, 4870, 291, 4348, 646, 6264, 81, 297, 81, 23766, 44, 324, 3636, 45338, 463, 974, 330, 474, 4870, 474, 330, 646, 2431, 11834, 291, 813, 44, 324, 442, 646, 6264, 81, 695, 284, 415, 29141, 438, 1665, 44, 291, 29141, 280, 1605, 284, 29141, 280, 13316, 81, 668, 2669, 26, 15615, 27, 284, 415, 646, 29141, 44, 225, 588, 29141, 438, 3502, 291, 29141, 280, 2107, 32, 785, 284, 415, 793, 81, 2958, 983, 44, 291, 29141, 32, 8233, 26, 3731, 32, 983, 27, 284, 415, 793, 81, 1903, 983, 44, 291, 29141, 32, 8233, 26, 101, 633, 1052, 81, 1903, 81, 983, 27, 284, 588, 11764, 3165, 461, 3165, 496, 33036, 284, 29141, 280, 428, 500, 32, 983, 32, 8931, 496, 26, 86, 27, 436, 343, 328, 29141, 79, 284, 4082, 32, 2811, 463, 47648, 436, 803, 904, 101, 328, 10204, 18647, 44, 904, 101, 25, 904, 308, 3607, 30, 5769, 5608, 2524, 26, 15615, 2610, 284, 436, 343, 328, 29141, 44, 291, 415, 2322, 32, 983, 32, 4658, 26, 500, 32, 983, 32, 2524, 26, 86, 30, 4870, 8531, 324, 4082, 32, 2811, 463, 3595, 803, 904, 101, 328, 4844, 904, 101, 4564, 904, 308, 3607, 30, 343, 490, 324, 442, 2322, 32, 983, 32, 2524, 26, 86, 30, 4870, 27, 284, 4082, 32, 2811, 463, 1337, 2431, 803, 904, 101, 328, 1346, 18647, 4564, 904, 4870, 27, 284, 415, 646, 6264, 81, 297, 81, 23766, 44, 291, 3636, 45338, 463, 974, 904, 101, 646, 2431, 328, 1346, 432, 322, 14904, 4564, 904, 4870, 27, 284, 813, 44, 291, 442, 646, 6264, 81, 695, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8206, 366, 292, 1349, 26, 4873, 30, 323, 9995, 30, 323, 2479, 30, 26513, 891, 462, 2452, 711, 203, 1524, 20763, 322, 3134, 31, 10753, 5045, 436, 312, 26703, 299, 5045, 31945, 44, 5045, 44, 1755, 322, 6024, 432, 561, 438, 5349, 323, 9995, 30, 323, 2479, 44, 25203, 2747, 308, 998, 299, 645, 225, 34, 45, 816, 438, 2698, 30, 533, 438, 2623, 1650, 27, 26513, 891, 462, 2452, 44, 322, 6573, 1334, 32235, 810, 322, 3964, 31, 452, 31, 19124, 7291, 40644, 44, 322, 3134, 17210, 5045, 30, 2432, 6024, 619, 330, 4873, 2473, 1524, 446, 932, 30, 2698, 280, 2065, 32, 7174, 3365, 26, 668, 26, 3585, 26, 4873, 32, 3229, 77, 35, 29485, 1149, 26, 3585, 26, 4873, 32, 3229, 77, 34, 25200, 284, 442, 2065, 32, 282, 288, 278, 26, 2356, 32, 8663, 1162, 643, 429, 323, 9995, 27, 1115, 225, 36, 474, 308, 748, 429, 323, 2479, 27, 1115, 225, 36, 27, 319, 26513, 891, 462, 2452, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4810, 3695, 26, 4148, 366, 292, 1349, 30, 38090, 730, 402, 102, 412, 655, 18203, 30, 6573, 891, 47, 2521, 711, 203, 1524, 19453, 31, 3695, 25683, 436, 3134, 31, 25906, 38254, 5703, 31945, 44, 8206, 366, 292, 1349, 44, 5045, 432, 3134, 31, 10753, 2078, 38090, 730, 402, 102, 412, 655, 18203, 44, 3964, 31, 452, 31, 19124, 7291, 6573, 891, 44, 322, 6573, 1334, 328, 12198, 886, 1688, 5045, 438, 432, 322, 2432, 6024, 619, 8206, 366, 292, 1349, 32, 886, 26703, 299, 29135, 5045, 1395, 526, 12044, 3032, 810, 561, 32, 1524, 446, 415, 6573, 891, 438, 1665, 44, 291, 6573, 891, 280, 225, 35, 284, 442, 38090, 730, 402, 102, 412, 655, 18203, 1115, 225, 36, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 27, 1115, 225, 37, 517, 6573, 891, 1115, 225, 36, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4810, 3695, 81, 731, 4641, 26, 4148, 366, 292, 1349, 30, 343, 4148, 366, 292, 1349, 30, 38090, 730, 402, 102, 412, 655, 18203, 30, 10180, 757, 730, 402, 102, 412, 655, 18203, 30, 6573, 891, 47, 2521, 711, 203, 1524, 19453, 31, 3695, 25683, 436, 3134, 31, 25906, 38254, 5703, 623, 1048, 36905, 31945, 44, 8206, 366, 292, 1349, 44, 5045, 432, 3134, 31, 10753, 2078, 343, 4148, 366, 292, 1349, 44, 5045, 432, 7976, 1048, 432, 3134, 31, 10753, 2078, 38090, 730, 402, 102, 412, 655, 18203, 44, 3964, 31, 452, 31, 19124, 7291, 10180, 757, 730, 402, 102, 412, 655, 18203, 44, 7976, 1048, 432, 3964, 31, 452, 31, 19124, 7291, 40644, 3134, 23784, 432, 322, 2432, 6024, 619, 8206, 366, 292, 1349, 32, 886, 26703, 299, 29135, 5045, 1395, 526, 12044, 3032, 810, 322, 1932, 1591, 32, 886, 3100, 1591, 438, 322 ]
[ 22237, 733, 1048, 432, 322, 1932, 1591, 32, 1524, 446, 358, 1186, 280, 4810, 3695, 26, 4148, 366, 292, 1349, 30, 38090, 730, 402, 102, 412, 655, 18203, 30, 6573, 891, 27, 284, 415, 6573, 891, 438, 1665, 44, 291, 6573, 891, 280, 225, 35, 284, 442, 308, 69, 1186, 30, 324, 308, 22689, 730, 402, 102, 412, 655, 18203, 319, 308, 38, 319, 10180, 757, 730, 402, 102, 412, 655, 18203, 1115, 225, 36, 319, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 27, 1115, 225, 36, 474, 11244, 43, 319, 343, 4148, 366, 292, 1349, 1115, 225, 36, 319, 38090, 730, 402, 102, 412, 655, 18203, 1115, 225, 36, 319, 2065, 32, 7102, 26, 4148, 366, 292, 1349, 27, 1115, 225, 36, 27, 1115, 225, 34, 32, 39, 1802, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 27, 1115, 225, 38, 27, 517, 6573, 891, 1115, 225, 36, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8775, 9680, 360, 2960, 467, 26, 4148, 366, 292, 1349, 30, 32184, 711, 203, 1524, 30091, 436, 8775, 31, 9680, 46522, 467, 432, 322, 3964, 31945, 44, 8206, 366, 292, 1349, 44, 5045, 432, 3134, 31, 10753, 2078, 32184, 44, 322, 32184, 432, 322, 3964, 308, 59, 81, 5483, 33, 59, 81, 5553, 30, 556, 2910, 3736, 6974, 28, 86, 490, 886, 1688, 5045, 438, 432, 322, 2432, 6024, 619, 8206, 366, 292, 1349, 32, 886, 26703, 299, 29135, 5045, 1395, 526, 12044, 3032, 810, 561, 32, 5830, 30, 688, 458, 1957, 646, 3809, 101, 436, 3964, 32184, 810, 8015, 30, 619, 322, 225, 36, 28, 10753, 967, 225, 34, 2723, 432, 458, 5045, 438, 707, 543, 32, 12038, 366, 292, 1349, 379, 34, 461, 32184, 379, 35, 6792, 884, 13744, 8464, 308, 1382, 2723, 438, 225, 35, 328, 4335, 6792, 547, 1524, 446, 6674, 280, 2065, 32, 5783, 26, 4148, 366, 292, 1349, 32, 3229, 27, 284, 415, 32184, 610, 225, 35, 44, 291, 442, 6674, 284, 37593, 280, 429, 2356, 32, 751, 26, 45719, 27, 446, 6674, 77, 4148, 366, 292, 1349, 848, 225, 34, 79, 280, 32184, 319, 37593, 319, 308, 35, 429, 225, 35, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 77, 4148, 366, 292, 1349, 848, 225, 34, 5259, 517, 308, 2356, 32, 2832, 3736, 42739, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 77, 4148, 366, 292, 1349, 848, 225, 34, 5259, 429, 2065, 32, 2832, 3736, 42739, 490, 284, 442, 6674, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8775, 9680, 360, 2960, 467, 81, 731, 4641, 26, 4148, 366, 292, 1349, 30, 343, 4148, 366, 292, 1349, 30, 32184, 30, 343, 45719, 711, 203, 1524, 30091, 436, 8775, 31, 9680, 46522, 467, 432, 322, 3964, 623, 1048, 36905, 31945, 44, 8206, 366, 292, 1349, 44, 5045, 432, 3134, 31, 10753, 2078, 343, 4148, 366, 292, 1349, 44, 5045, 432, 7976, 1048, 432, 3134, 31, 10753, 2078, 32184, 44, 322, 32184, 432, 322, 3964, 308, 59, 81, 5483, 33, 59, 81, 5553, 30, 556, 2910, 3736, 6974, 28, 86, 490, 343, 45719, 44, 322, 7976, 1048, 432, 322, 32184, 432, 322, 3964, 16510, 23784, 884, 4717, 44, 322, 1932, 1591, 438, 322, 25683, 308, 29795, 5045, 1395, 526, 12044, 3032, 810, 561, 471, 322, 3100, 438, 2819, 7976, 1048, 32, 1524, 446, 588, 1048, 36905, 17568, 16453, 1471, 11385, 36492, 284, 442, 308, 3695, 9680, 360, 2960, 467, 26, 4148, 366, 292, 1349, 30, 32184, 471, 324, 617, 10261, 81, 3695, 9680, 360, 2960, 467, 81, 731, 26, 4148, 366, 292, 1349, 30, 343, 4148, 366, 292, 1349, 30, 32184, 30, 343, 45719, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8775, 9680, 1998, 45719, 26, 4148, 366, 292, 1349, 30, 11768, 81, 1998, 30, 38090, 730, 402, 102, 412, 655, 18203, 711, 203, 1524, 30091, 436, 322, 8775, 20109, 46522, 467, 432, 15306, 328, 322, 26703, 318, 25203, 1519, 32, 31945, 44, 8206, 366, 292, 1349, 44, 5045, 432, 3134, 31, 10753, 2078, 11768, 81, 1998, 44, 322, 10081, 46522, 467, 17134, 432, 15306, 38090, 730, 402, 102, 412, 655, 18203, 44, 3964, 31, 452, 31, 19124, 7291, 225, 35, 33, 6974, 81, 1998, 461, 38090, 730, 402, 102, 412, 655, 18203, 1395, 1159, 322, 2432, 8742, 886, 26703, 299, 29135, 5045, 1395, 526, 12044, 3032, 810, 322, 14302, 25683, 5045, 7103, 446, 442, 2065, 32, 2832, 26, 6974, 81, 1998, 319, 38090, 730, 402, 102, 412, 655, 18203, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8775, 9680, 1998, 45719, 81, 731, 4641, 26, 4148, 366, 292, 1349, 30, 343, 4148, 366, 292, 1349, 30, 11768, 81, 1998, 30, 343, 6974, 81, 1998, 30, 38090, 730, 402, 102, 412, 655, 18203, 30, 10180, 757, 730, 402, 102, 412, 655, 18203, 711, 203, 1524, 30091, 436, 322, 8775, 20109, 46522, 467, 432, 15306, 328, 322, 26703, 318, 25203, 1519, 30, 623, 1048, 36905, 31945, 44, 8206, 366, 292, 1349, 44, 5045, 432, 3134, 31, 10753, 2078, 343, 4148, 366, 292, 1349, 44, 7976, 1048, 5045, 432, 3134, 31, 10753, 11768, 81, 1998, 44, 322, 10081, 46522, 467, 17134, 432, 15306, 343, 6974, 81, 1998, 44, 1048, 432, 322, 10081, 46522, 467, 17134, 432, 15306, 38090, 730, 402, 102, 412, 655, 18203, 44, 3964, 31, 452, 31, 19124, 7291, 10180, 757, 730, 402, 102, 412, 655, 18203, 44, 1048, 432, 322, 3964, 31, 452, 31, 19124, 7291, 225, 35, 33, 6974, 81, 1998, 461, 38090, 730, 402, 102, 412, 655, 18203, 1395, 1159, 322, 2432, 8742, 886, 26703, 299, 29135, 5045 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22237, 733, 1048, 432, 322, 1932, 1591, 32, 1524, 446, 358, 1186, 280, 4810, 3695, 26, 4148, 366, 292, 1349, 30, 38090, 730, 402, 102, 412, 655, 18203, 30, 6573, 891, 27, 284, 415, 6573, 891, 438, 1665, 44, 291, 6573, 891, 280, 225, 35, 284, 442, 308, 69, 1186, 30, 324, 308, 22689, 730, 402, 102, 412, 655, 18203, 319, 308, 38, 319, 10180, 757, 730, 402, 102, 412, 655, 18203, 1115, 225, 36, 319, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 27, 1115, 225, 36, 474, 11244, 43, 319, 343, 4148, 366, 292, 1349, 1115, 225, 36, 319, 38090, 730, 402, 102, 412, 655, 18203, 1115, 225, 36, 319, 2065, 32, 7102, 26, 4148, 366, 292, 1349, 27, 1115, 225, 36, 27, 1115, 225, 34, 32, 39, 1802, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 27, 1115, 225, 38, 27, 517, 6573, 891, 1115, 225, 36, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8775, 9680, 360, 2960, 467, 26, 4148, 366, 292, 1349, 30, 32184, 711, 203, 1524, 30091, 436, 8775, 31, 9680, 46522, 467, 432, 322, 3964, 31945, 44, 8206, 366, 292, 1349, 44, 5045, 432, 3134, 31, 10753, 2078, 32184, 44, 322, 32184, 432, 322, 3964, 308, 59, 81, 5483, 33, 59, 81, 5553, 30, 556, 2910, 3736, 6974, 28, 86, 490, 886, 1688, 5045, 438, 432, 322, 2432, 6024, 619, 8206, 366, 292, 1349, 32, 886, 26703, 299, 29135, 5045, 1395, 526, 12044, 3032, 810, 561, 32, 5830, 30, 688, 458, 1957, 646, 3809, 101, 436, 3964, 32184, 810, 8015, 30, 619, 322, 225, 36, 28, 10753, 967, 225, 34, 2723, 432, 458, 5045, 438, 707, 543, 32, 12038, 366, 292, 1349, 379, 34, 461, 32184, 379, 35, 6792, 884, 13744, 8464, 308, 1382, 2723, 438, 225, 35, 328, 4335, 6792, 547, 1524, 446, 6674, 280, 2065, 32, 5783, 26, 4148, 366, 292, 1349, 32, 3229, 27, 284, 415, 32184, 610, 225, 35, 44, 291, 442, 6674, 284, 37593, 280, 429, 2356, 32, 751, 26, 45719, 27, 446, 6674, 77, 4148, 366, 292, 1349, 848, 225, 34, 79, 280, 32184, 319, 37593, 319, 308, 35, 429, 225, 35, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 77, 4148, 366, 292, 1349, 848, 225, 34, 5259, 517, 308, 2356, 32, 2832, 3736, 42739, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 77, 4148, 366, 292, 1349, 848, 225, 34, 5259, 429, 2065, 32, 2832, 3736, 42739, 490, 284, 442, 6674, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8775, 9680, 360, 2960, 467, 81, 731, 4641, 26, 4148, 366, 292, 1349, 30, 343, 4148, 366, 292, 1349, 30, 32184, 30, 343, 45719, 711, 203, 1524, 30091, 436, 8775, 31, 9680, 46522, 467, 432, 322, 3964, 623, 1048, 36905, 31945, 44, 8206, 366, 292, 1349, 44, 5045, 432, 3134, 31, 10753, 2078, 343, 4148, 366, 292, 1349, 44, 5045, 432, 7976, 1048, 432, 3134, 31, 10753, 2078, 32184, 44, 322, 32184, 432, 322, 3964, 308, 59, 81, 5483, 33, 59, 81, 5553, 30, 556, 2910, 3736, 6974, 28, 86, 490, 343, 45719, 44, 322, 7976, 1048, 432, 322, 32184, 432, 322, 3964, 16510, 23784, 884, 4717, 44, 322, 1932, 1591, 438, 322, 25683, 308, 29795, 5045, 1395, 526, 12044, 3032, 810, 561, 471, 322, 3100, 438, 2819, 7976, 1048, 32, 1524, 446, 588, 1048, 36905, 17568, 16453, 1471, 11385, 36492, 284, 442, 308, 3695, 9680, 360, 2960, 467, 26, 4148, 366, 292, 1349, 30, 32184, 471, 324, 617, 10261, 81, 3695, 9680, 360, 2960, 467, 81, 731, 26, 4148, 366, 292, 1349, 30, 343, 4148, 366, 292, 1349, 30, 32184, 30, 343, 45719, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8775, 9680, 1998, 45719, 26, 4148, 366, 292, 1349, 30, 11768, 81, 1998, 30, 38090, 730, 402, 102, 412, 655, 18203, 711, 203, 1524, 30091, 436, 322, 8775, 20109, 46522, 467, 432, 15306, 328, 322, 26703, 318, 25203, 1519, 32, 31945, 44, 8206, 366, 292, 1349, 44, 5045, 432, 3134, 31, 10753, 2078, 11768, 81, 1998, 44, 322, 10081, 46522, 467, 17134, 432, 15306, 38090, 730, 402, 102, 412, 655, 18203, 44, 3964, 31, 452, 31, 19124, 7291, 225, 35, 33, 6974, 81, 1998, 461, 38090, 730, 402, 102, 412, 655, 18203, 1395, 1159, 322, 2432, 8742, 886, 26703, 299, 29135, 5045, 1395, 526, 12044, 3032, 810, 322, 14302, 25683, 5045, 7103, 446, 442, 2065, 32, 2832, 26, 6974, 81, 1998, 319, 38090, 730, 402, 102, 412, 655, 18203, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8775, 9680, 1998, 45719, 81, 731, 4641, 26, 4148, 366, 292, 1349, 30, 343, 4148, 366, 292, 1349, 30, 11768, 81, 1998, 30, 343, 6974, 81, 1998, 30, 38090, 730, 402, 102, 412, 655, 18203, 30, 10180, 757, 730, 402, 102, 412, 655, 18203, 711, 203, 1524, 30091, 436, 322, 8775, 20109, 46522, 467, 432, 15306, 328, 322, 26703, 318, 25203, 1519, 30, 623, 1048, 36905, 31945, 44, 8206, 366, 292, 1349, 44, 5045, 432, 3134, 31, 10753, 2078, 343, 4148, 366, 292, 1349, 44, 7976, 1048, 5045, 432, 3134, 31, 10753, 11768, 81, 1998, 44, 322, 10081, 46522, 467, 17134, 432, 15306, 343, 6974, 81, 1998, 44, 1048, 432, 322, 10081, 46522, 467, 17134, 432, 15306, 38090, 730, 402, 102, 412, 655, 18203, 44, 3964, 31, 452, 31, 19124, 7291, 10180, 757, 730, 402, 102, 412, 655, 18203, 44, 1048, 432, 322, 3964, 31, 452, 31, 19124, 7291, 225, 35, 33, 6974, 81, 1998, 461, 38090, 730, 402, 102, 412, 655, 18203, 1395, 1159, 322, 2432, 8742, 886, 26703, 299, 29135, 5045 ]
[ 1395, 526, 12044, 3032, 810, 322, 14302, 25683, 5045, 7103, 446, 442, 308, 2356, 32, 2832, 26, 6974, 81, 1998, 319, 38090, 730, 402, 102, 412, 655, 18203, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 3662, 324, 2065, 32, 8663, 26, 6521, 103, 81, 1998, 1115, 225, 36, 319, 38090, 730, 402, 102, 412, 655, 18203, 1115, 225, 36, 319, 528, 2065, 32, 2832, 26, 36, 319, 11768, 81, 1998, 319, 38090, 730, 402, 102, 412, 655, 18203, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 490, 528, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 27, 1115, 225, 36, 474, 10180, 757, 730, 402, 102, 412, 655, 18203, 1115, 225, 36, 319, 528, 11768, 81, 1998, 1115, 225, 36, 319, 2065, 32, 2832, 26, 36, 319, 11768, 81, 1998, 319, 38090, 730, 402, 102, 412, 655, 18203, 517, 11244, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 490, 517, 528, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 27, 1115, 225, 36, 474, 343, 4148, 366, 292, 1349, 1115, 225, 36, 319, 11768, 81, 1998, 1115, 225, 36, 319, 528, 38090, 730, 402, 102, 412, 655, 18203, 1115, 225, 36, 319, 528, 2065, 32, 2832, 26, 36, 319, 11768, 81, 1998, 319, 38090, 730, 402, 102, 412, 655, 18203, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 490, 3486, 319, 2065, 32, 7102, 26, 4148, 366, 292, 1349, 27, 1115, 225, 36, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 27, 1115, 225, 38, 27, 324, 829, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 81, 761, 26, 784, 30, 4870, 44, 596, 30, 16469, 81, 983, 44, 1560, 280, 2933, 30, 2769, 1057, 327, 20565, 683, 967, 596, 44, 1524, 4868, 803, 328, 322, 1519, 2993, 584, 415, 2769, 610, 330, 327, 20565, 950, 324, 1519, 280, 630, 1114, 983, 291, 4348, 2769, 610, 330, 2111, 950, 324, 1519, 280, 630, 1114, 2111, 983, 291, 4348, 2769, 610, 330, 3965, 950, 324, 1519, 280, 630, 1114, 3965, 983, 291, 813, 44, 324, 1519, 280, 630, 1114, 983, 291, 8855, 280, 1605, 291, 415, 16469, 81, 983, 44, 324, 4870, 280, 2322, 32, 983, 32, 2998, 26, 3607, 5594, 31, 35, 79, 291, 436, 343, 328, 1519, 44, 324, 415, 2322, 32, 983, 32, 4658, 26, 500, 32, 983, 32, 2524, 26, 86, 30, 4870, 8531, 400, 8855, 32, 1689, 26, 500, 32, 983, 32, 2524, 26, 86, 30, 4870, 490, 400, 442, 2322, 32, 983, 32, 2524, 26, 86, 30, 4870, 27, 291, 3636, 2032, 27981, 463, 1337, 2431, 44, 2149, 32, 394, 14051, 44, 19553, 1643, 26, 3607, 30, 5769, 5608, 2524, 26, 2754, 318, 2610, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 1113, 983, 26, 784, 30, 1361, 983, 44, 596, 711, 203, 1524, 3192, 312, 803, 556, 3362, 6491, 372, 322, 1695, 1519, 2993, 584, 436, 343, 328, 630, 1114, 983, 44, 324, 415, 2322, 32, 983, 32, 4658, 26, 500, 32, 983, 32, 2524, 26, 86, 30, 1361, 983, 8531, 400, 442, 2322, 32, 983, 32, 2524, 26, 86, 30, 1361, 983, 27, 291, 3636, 2032, 27981, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3632, 26, 784, 30, 1755, 81, 1327, 47, 1815, 27, 967, 3081, 882, 44, 1524, 20763, 322, 3632, 432, 10862, 30, 646, 33404, 322, 35665, 11668, 415, 1755, 81, 1327, 438, 2933, 7103, 584, 415, 646, 1755, 81, 1327, 44, 324, 5941, 280, 225, 35, 291, 813, 44, 324, 5941, 280, 630, 32, 3965, 291, 442, 3081, 882, 1162, 784, 32, 29795, 319, 5941, 547, 1036, 1026, 3775, 1833, 784, 32, 731, 319, 5941, 27, 1115, 225, 36, 547, 1036, 346, 1115, 225, 34, 32, 39, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5651, 26, 784, 30, 1755, 81, 1327, 47, 1815, 27, 967, 3081, 882, 44, 1524, 20763, 322, 5651, 432, 322, 10862, 30, 646, 33404, 322, 35665, 11668, 415, 1755, 81, 1327, 438, 2933, 7103, 584, 415, 646, 1755, 81, 1327, 44, 324, 29135, 280, 630, 32, 29795, 324, 1048, 280, 630, 32, 731, 291, 813, 44, 324, 29135, 280, 630, 32, 29795, 77, 784, 32, 3965, 79, 324, 1048, 280, 630, 32, 731, 77, 784, 32, 3965, 79, 291, 442, 3081, 882, 26, 29795, 32, 6009, 1026, 3775, 308, 731, 1115, 225, 36, 547, 6009, 346, 1115, 225, 34, 32, 39, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8206, 366, 292, 1349, 26, 784, 27, 967, 3081, 882, 44, 1524, 20763, 322, 3134, 31, 10753, 1417, 2993, 584, 2698, 30, 2623, 280, 2065, 32, 97, 3365, 77, 34, 44, 784, 32, 3229, 77, 34, 614, 225, 34, 44, 784, 32, 3229, 77, 35, 3212, 291, 23166, 280, 8580, 784, 32, 2111, 32, 13201, 2460, 834, 429, 2698, 27, 319, 630, 32, 2111, 32, 7790, 891, 107, 27, 1115, 225, 36, 474, 3083, 1833, 784, 32, 2111, 32, 13201, 2390, 106, 429, 2623, 27, 319, 630, 32, 2111, 32, 15047, 425, 327, 27, 1115, 225, 36, 27, 1115, 225, 34, 32, 39, 291, 1201, 6937, 26, 784, 32, 2111, 32, 15047, 425, 327, 30, 3081, 882, 27, 291, 1201, 6937, 26, 784, 32, 2111, 32, 7790, 891, 107, 30, 3081, 882, 27, 291, 1201, 6937, 26, 15123, 30, 3081, 882, 27, 291, 442, 308, 15123, 517, 630, 32, 2111, 32, 8018, 547, 282, 288, 278, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1395, 526, 12044, 3032, 810, 322, 14302, 25683, 5045, 7103, 446, 442, 308, 2356, 32, 2832, 26, 6974, 81, 1998, 319, 38090, 730, 402, 102, 412, 655, 18203, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 3662, 324, 2065, 32, 8663, 26, 6521, 103, 81, 1998, 1115, 225, 36, 319, 38090, 730, 402, 102, 412, 655, 18203, 1115, 225, 36, 319, 528, 2065, 32, 2832, 26, 36, 319, 11768, 81, 1998, 319, 38090, 730, 402, 102, 412, 655, 18203, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 490, 528, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 27, 1115, 225, 36, 474, 10180, 757, 730, 402, 102, 412, 655, 18203, 1115, 225, 36, 319, 528, 11768, 81, 1998, 1115, 225, 36, 319, 2065, 32, 2832, 26, 36, 319, 11768, 81, 1998, 319, 38090, 730, 402, 102, 412, 655, 18203, 517, 11244, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 490, 517, 528, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 27, 1115, 225, 36, 474, 343, 4148, 366, 292, 1349, 1115, 225, 36, 319, 11768, 81, 1998, 1115, 225, 36, 319, 528, 38090, 730, 402, 102, 412, 655, 18203, 1115, 225, 36, 319, 528, 2065, 32, 2832, 26, 36, 319, 11768, 81, 1998, 319, 38090, 730, 402, 102, 412, 655, 18203, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 490, 3486, 319, 2065, 32, 7102, 26, 4148, 366, 292, 1349, 27, 1115, 225, 36, 517, 2065, 32, 4952, 26, 4148, 366, 292, 1349, 27, 1115, 225, 38, 27, 324, 829, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 81, 761, 26, 784, 30, 4870, 44, 596, 30, 16469, 81, 983, 44, 1560, 280, 2933, 30, 2769, 1057, 327, 20565, 683, 967, 596, 44, 1524, 4868, 803, 328, 322, 1519, 2993, 584, 415, 2769, 610, 330, 327, 20565, 950, 324, 1519, 280, 630, 1114, 983, 291, 4348, 2769, 610, 330, 2111, 950, 324, 1519, 280, 630, 1114, 2111, 983, 291, 4348, 2769, 610, 330, 3965, 950, 324, 1519, 280, 630, 1114, 3965, 983, 291, 813, 44, 324, 1519, 280, 630, 1114, 983, 291, 8855, 280, 1605, 291, 415, 16469, 81, 983, 44, 324, 4870, 280, 2322, 32, 983, 32, 2998, 26, 3607, 5594, 31, 35, 79, 291, 436, 343, 328, 1519, 44, 324, 415, 2322, 32, 983, 32, 4658, 26, 500, 32, 983, 32, 2524, 26, 86, 30, 4870, 8531, 400, 8855, 32, 1689, 26, 500, 32, 983, 32, 2524, 26, 86, 30, 4870, 490, 400, 442, 2322, 32, 983, 32, 2524, 26, 86, 30, 4870, 27, 291, 3636, 2032, 27981, 463, 1337, 2431, 44, 2149, 32, 394, 14051, 44, 19553, 1643, 26, 3607, 30, 5769, 5608, 2524, 26, 2754, 318, 2610, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 1113, 983, 26, 784, 30, 1361, 983, 44, 596, 711, 203, 1524, 3192, 312, 803, 556, 3362, 6491, 372, 322, 1695, 1519, 2993, 584, 436, 343, 328, 630, 1114, 983, 44, 324, 415, 2322, 32, 983, 32, 4658, 26, 500, 32, 983, 32, 2524, 26, 86, 30, 1361, 983, 8531, 400, 442, 2322, 32, 983, 32, 2524, 26, 86, 30, 1361, 983, 27, 291, 3636, 2032, 27981, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3632, 26, 784, 30, 1755, 81, 1327, 47, 1815, 27, 967, 3081, 882, 44, 1524, 20763, 322, 3632, 432, 10862, 30, 646, 33404, 322, 35665, 11668, 415, 1755, 81, 1327, 438, 2933, 7103, 584, 415, 646, 1755, 81, 1327, 44, 324, 5941, 280, 225, 35, 291, 813, 44, 324, 5941, 280, 630, 32, 3965, 291, 442, 3081, 882, 1162, 784, 32, 29795, 319, 5941, 547, 1036, 1026, 3775, 1833, 784, 32, 731, 319, 5941, 27, 1115, 225, 36, 547, 1036, 346, 1115, 225, 34, 32, 39, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5651, 26, 784, 30, 1755, 81, 1327, 47, 1815, 27, 967, 3081, 882, 44, 1524, 20763, 322, 5651, 432, 322, 10862, 30, 646, 33404, 322, 35665, 11668, 415, 1755, 81, 1327, 438, 2933, 7103, 584, 415, 646, 1755, 81, 1327, 44, 324, 29135, 280, 630, 32, 29795, 324, 1048, 280, 630, 32, 731, 291, 813, 44, 324, 29135, 280, 630, 32, 29795, 77, 784, 32, 3965, 79, 324, 1048, 280, 630, 32, 731, 77, 784, 32, 3965, 79, 291, 442, 3081, 882, 26, 29795, 32, 6009, 1026, 3775, 308, 731, 1115, 225, 36, 547, 6009, 346, 1115, 225, 34, 32, 39, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8206, 366, 292, 1349, 26, 784, 27, 967, 3081, 882, 44, 1524, 20763, 322, 3134, 31, 10753, 1417, 2993, 584, 2698, 30, 2623, 280, 2065, 32, 97, 3365, 77, 34, 44, 784, 32, 3229, 77, 34, 614, 225, 34, 44, 784, 32, 3229, 77, 35, 3212, 291, 23166, 280, 8580, 784, 32, 2111, 32, 13201, 2460, 834, 429, 2698, 27, 319, 630, 32, 2111, 32, 7790, 891, 107, 27, 1115, 225, 36, 474, 3083, 1833, 784, 32, 2111, 32, 13201, 2390, 106, 429, 2623, 27, 319, 630, 32, 2111, 32, 15047, 425, 327, 27, 1115, 225, 36, 27, 1115, 225, 34, 32, 39, 291, 1201, 6937, 26, 784, 32, 2111, 32, 15047, 425, 327, 30, 3081, 882, 27, 291, 1201, 6937, 26, 784, 32, 2111, 32, 7790, 891, 107, 30, 3081, 882, 27, 291, 1201, 6937, 26, 15123, 30, 3081, 882, 27, 291, 442, 308, 15123, 517, 630, 32, 2111, 32, 8018, 547, 282, 288, 278, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234 ]
[ 44, 203, 665, 6573, 81, 452, 81, 99, 26, 784, 30, 2698, 44, 1897, 30, 2623, 44, 1897, 711, 203, 1524, 2891, 322, 2678, 10517, 432, 312, 2702, 6573, 32, 31945, 44, 2698, 44, 1897, 322, 2698, 308, 10163, 27, 12651, 432, 322, 6573, 2623, 44, 1897, 322, 2623, 308, 10630, 27, 12651, 432, 322, 6573, 44286, 884, 225, 34, 31, 7873, 461, 16453, 645, 322, 2663, 2841, 15573, 32, 1524, 584, 2678, 643, 280, 225, 38, 319, 2065, 32, 1295, 319, 2065, 32, 7102, 26, 1802, 34, 32, 39, 319, 2065, 32, 282, 288, 278, 26, 400, 308, 643, 429, 1897, 26, 784, 32, 2111, 32, 13201, 2460, 834, 490, 319, 400, 1897, 26, 784, 32, 2111, 32, 7790, 891, 107, 27, 517, 400, 1897, 26, 784, 32, 2111, 32, 8018, 2610, 517, 1897, 26, 784, 32, 2111, 32, 105, 29055, 27, 291, 2678, 748, 280, 225, 38, 319, 2065, 32, 1295, 319, 2065, 32, 7102, 26, 34, 32, 39, 319, 2065, 32, 282, 288, 278, 26, 400, 308, 2592, 429, 1897, 26, 784, 32, 2111, 32, 13201, 2390, 106, 490, 319, 400, 1897, 26, 784, 32, 2111, 32, 15047, 425, 327, 27, 517, 400, 1897, 26, 784, 32, 2111, 32, 8018, 2610, 517, 1897, 26, 784, 32, 2111, 32, 105, 29055, 27, 291, 442, 2678, 643, 30, 2678, 748, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 46748, 81, 14298, 26, 784, 30, 2678, 3585, 47, 2521, 30, 6573, 47, 2700, 30, 442, 3965, 47, 2700, 30, 1048, 45859, 47, 37, 30, 1399, 545, 47250, 81, 731, 45859, 47, 37, 30, 5081, 81, 1267, 47, 2700, 27, 967, 32120, 44, 1524, 2555, 312, 46748, 41347, 4879, 31945, 44, 2678, 3585, 44, 322, 2678, 31, 3585, 32, 1670, 1665, 30, 2267, 31, 46106, 32, 1670, 330, 8362, 370, 2267, 31, 46106, 623, 10081, 20453, 308, 8786, 619, 1665, 547, 1670, 330, 751, 370, 2267, 31, 46106, 623, 1245, 35, 34, 20453, 32, 6573, 44, 745, 312, 6573, 31, 11613, 308, 35604, 432, 2678, 27, 442, 3965, 44, 415, 322, 19043, 5941, 5045, 438, 372, 526, 4717, 32, 1048, 45859, 44, 322, 827, 432, 1048, 36905, 308, 37, 44, 18399, 432, 39560, 556, 1230, 31, 1902, 30, 225, 36, 44, 39560, 30, 225, 35, 44, 10081, 30, 225, 34, 44, 16371, 26921, 432, 322, 2432, 15714, 27, 1399, 545, 47250, 81, 731, 45859, 44, 322, 827, 432, 322, 1048, 36905, 328, 322, 1399, 545, 47250, 308, 37, 44, 18399, 432, 39560, 556, 1230, 31, 1902, 30, 225, 36, 44, 39560, 30, 225, 35, 44, 10081, 30, 225, 34, 44, 16371, 26921, 432, 322, 2432, 15714, 27, 5081, 81, 1267, 44, 415, 2933, 30, 745, 646, 8921, 322, 1056, 328, 312, 38254, 12105, 30, 442, 322, 10090, 2065, 32, 16771, 101, 32, 40644, 44, 322, 1591, 31, 25906, 14486, 619, 600, 1980, 432, 38254, 12105, 308, 325, 6573, 438, 3177, 27, 556, 38254, 7034, 12105, 308, 325, 6573, 438, 2933, 471, 415, 5081, 81, 1267, 1597, 2933, 32, 5878, 322, 2678, 308, 271, 6573, 471, 343, 99, 308, 271, 343, 7790, 471, 439, 30, 343, 59, 30, 5951, 16540, 322, 5941, 5045, 308, 325, 442, 3965, 1597, 2933, 27, 1524, 584, 2152, 3965, 280, 1665, 291, 415, 6937, 26, 99, 3585, 30, 596, 711, 324, 415, 2678, 3585, 610, 330, 8362, 950, 400, 2678, 3585, 280, 1665, 400, 2267, 99, 3585, 81, 8362, 280, 2933, 324, 4348, 2678, 3585, 610, 330, 751, 950, 400, 2678, 3585, 280, 1665, 400, 2267, 99, 3585, 81, 8362, 280, 3177, 324, 813, 44, 400, 3636, 10091, 26, 715, 330, 882, 2702, 436, 2678, 3585, 308, 2699, 23, 101, 48890, 646, 32589, 4564, 904, 2678, 3585, 27, 291, 813, 44, 324, 2267, 99, 3585, 81, 8362, 280, 2933, 225, 588, 17013, 291, 415, 6573, 44, 324, 1399, 545, 47250, 81, 5462, 280, 225, 37, 291, 813, 44, 324, 1399, 545, 47250, 81, 5462, 280, 225, 34, 291, 736, 280, 5865, 410, 81, 2620, 99, 81, 731, 4641, 26, 784, 32, 29795, 30, 630, 32, 731, 30, 630, 32, 2111, 32, 105, 29055, 32, 695, 30, 9474, 630, 32, 2111, 32, 105, 29055, 32, 530, 30, 630, 32, 2111, 32, 8018, 32, 695, 30, 9474, 630, 32, 2111, 32, 8018, 32, 530, 30, 630, 32, 2111, 32, 7790, 891, 107, 32, 695, 30, 9474, 630, 32, 2111, 32, 15047, 425, 327, 32, 695, 30, 630, 32, 2111, 32, 13201, 2460, 834, 32, 695, 30, 9474, 630, 32, 2111, 32, 13201, 2460, 834, 32, 530, 30, 630, 32, 2111, 32, 13201, 2390, 106, 32, 695, 30, 9474, 630, 32, 2111, 32, 13201, 2390, 106, 32, 530, 30, 308, 784, 32, 3965, 610, 225, 34, 547, 15315, 26, 2356, 32, 1774, 42, 471, 9474, 2678, 3585, 30, 442, 3965, 47, 601, 3965, 30, 1048, 45859, 47, 731, 45859, 30, 9474, 2267, 99, 3585, 81, 8362, 47, 2837, 99, 3585, 81, 8362, 30, 1399, 545, 47250, 81, 5462, 47, 360, 545, 47250, 81, 5462, 30, 9474, 1399, 545, 47250, 81, 731, 45859, 47, 360, 545, 47250, 81, 731, 45859, 27, 291, 2678, 30, 343, 99, 30, 439, 30, 516, 30, 5951, 280, 736, 2867, 39, 79, 291, 415, 646, 5081, 81, 1267, 44, 324, 281, 280, 32120, 26, 99, 30, 439, 30, 516, 30, 343, 99, 27, 324, 415, 442, 3965, 44, 400, 442, 281, 30, 736, 77, 39, 79, 324, 813, 44, 400, 442, 281, 291, 813, 44, 324, 415, 442, 3965, 44, 400, 442, 2678, 30, 343, 99, 30, 439, 30, 516, 30, 5951, 30, 736, 77, 39, 79, 324, 813, 44, 400, 442, 2678, 30, 343, 99, 30, 439, 30, 516, 30, 5951, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5941, 81, 15272, 26, 784, 711, 203, 1524, 20601, 322, 5941, 623, 322, 1778, 4702, 2154, 322, 29135, 438, 11003, 7103, 584 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 44, 203, 665, 6573, 81, 452, 81, 99, 26, 784, 30, 2698, 44, 1897, 30, 2623, 44, 1897, 711, 203, 1524, 2891, 322, 2678, 10517, 432, 312, 2702, 6573, 32, 31945, 44, 2698, 44, 1897, 322, 2698, 308, 10163, 27, 12651, 432, 322, 6573, 2623, 44, 1897, 322, 2623, 308, 10630, 27, 12651, 432, 322, 6573, 44286, 884, 225, 34, 31, 7873, 461, 16453, 645, 322, 2663, 2841, 15573, 32, 1524, 584, 2678, 643, 280, 225, 38, 319, 2065, 32, 1295, 319, 2065, 32, 7102, 26, 1802, 34, 32, 39, 319, 2065, 32, 282, 288, 278, 26, 400, 308, 643, 429, 1897, 26, 784, 32, 2111, 32, 13201, 2460, 834, 490, 319, 400, 1897, 26, 784, 32, 2111, 32, 7790, 891, 107, 27, 517, 400, 1897, 26, 784, 32, 2111, 32, 8018, 2610, 517, 1897, 26, 784, 32, 2111, 32, 105, 29055, 27, 291, 2678, 748, 280, 225, 38, 319, 2065, 32, 1295, 319, 2065, 32, 7102, 26, 34, 32, 39, 319, 2065, 32, 282, 288, 278, 26, 400, 308, 2592, 429, 1897, 26, 784, 32, 2111, 32, 13201, 2390, 106, 490, 319, 400, 1897, 26, 784, 32, 2111, 32, 15047, 425, 327, 27, 517, 400, 1897, 26, 784, 32, 2111, 32, 8018, 2610, 517, 1897, 26, 784, 32, 2111, 32, 105, 29055, 27, 291, 442, 2678, 643, 30, 2678, 748, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 46748, 81, 14298, 26, 784, 30, 2678, 3585, 47, 2521, 30, 6573, 47, 2700, 30, 442, 3965, 47, 2700, 30, 1048, 45859, 47, 37, 30, 1399, 545, 47250, 81, 731, 45859, 47, 37, 30, 5081, 81, 1267, 47, 2700, 27, 967, 32120, 44, 1524, 2555, 312, 46748, 41347, 4879, 31945, 44, 2678, 3585, 44, 322, 2678, 31, 3585, 32, 1670, 1665, 30, 2267, 31, 46106, 32, 1670, 330, 8362, 370, 2267, 31, 46106, 623, 10081, 20453, 308, 8786, 619, 1665, 547, 1670, 330, 751, 370, 2267, 31, 46106, 623, 1245, 35, 34, 20453, 32, 6573, 44, 745, 312, 6573, 31, 11613, 308, 35604, 432, 2678, 27, 442, 3965, 44, 415, 322, 19043, 5941, 5045, 438, 372, 526, 4717, 32, 1048, 45859, 44, 322, 827, 432, 1048, 36905, 308, 37, 44, 18399, 432, 39560, 556, 1230, 31, 1902, 30, 225, 36, 44, 39560, 30, 225, 35, 44, 10081, 30, 225, 34, 44, 16371, 26921, 432, 322, 2432, 15714, 27, 1399, 545, 47250, 81, 731, 45859, 44, 322, 827, 432, 322, 1048, 36905, 328, 322, 1399, 545, 47250, 308, 37, 44, 18399, 432, 39560, 556, 1230, 31, 1902, 30, 225, 36, 44, 39560, 30, 225, 35, 44, 10081, 30, 225, 34, 44, 16371, 26921, 432, 322, 2432, 15714, 27, 5081, 81, 1267, 44, 415, 2933, 30, 745, 646, 8921, 322, 1056, 328, 312, 38254, 12105, 30, 442, 322, 10090, 2065, 32, 16771, 101, 32, 40644, 44, 322, 1591, 31, 25906, 14486, 619, 600, 1980, 432, 38254, 12105, 308, 325, 6573, 438, 3177, 27, 556, 38254, 7034, 12105, 308, 325, 6573, 438, 2933, 471, 415, 5081, 81, 1267, 1597, 2933, 32, 5878, 322, 2678, 308, 271, 6573, 471, 343, 99, 308, 271, 343, 7790, 471, 439, 30, 343, 59, 30, 5951, 16540, 322, 5941, 5045, 308, 325, 442, 3965, 1597, 2933, 27, 1524, 584, 2152, 3965, 280, 1665, 291, 415, 6937, 26, 99, 3585, 30, 596, 711, 324, 415, 2678, 3585, 610, 330, 8362, 950, 400, 2678, 3585, 280, 1665, 400, 2267, 99, 3585, 81, 8362, 280, 2933, 324, 4348, 2678, 3585, 610, 330, 751, 950, 400, 2678, 3585, 280, 1665, 400, 2267, 99, 3585, 81, 8362, 280, 3177, 324, 813, 44, 400, 3636, 10091, 26, 715, 330, 882, 2702, 436, 2678, 3585, 308, 2699, 23, 101, 48890, 646, 32589, 4564, 904, 2678, 3585, 27, 291, 813, 44, 324, 2267, 99, 3585, 81, 8362, 280, 2933, 225, 588, 17013, 291, 415, 6573, 44, 324, 1399, 545, 47250, 81, 5462, 280, 225, 37, 291, 813, 44, 324, 1399, 545, 47250, 81, 5462, 280, 225, 34, 291, 736, 280, 5865, 410, 81, 2620, 99, 81, 731, 4641, 26, 784, 32, 29795, 30, 630, 32, 731, 30, 630, 32, 2111, 32, 105, 29055, 32, 695, 30, 9474, 630, 32, 2111, 32, 105, 29055, 32, 530, 30, 630, 32, 2111, 32, 8018, 32, 695, 30, 9474, 630, 32, 2111, 32, 8018, 32, 530, 30, 630, 32, 2111, 32, 7790, 891, 107, 32, 695, 30, 9474, 630, 32, 2111, 32, 15047, 425, 327, 32, 695, 30, 630, 32, 2111, 32, 13201, 2460, 834, 32, 695, 30, 9474, 630, 32, 2111, 32, 13201, 2460, 834, 32, 530, 30, 630, 32, 2111, 32, 13201, 2390, 106, 32, 695, 30, 9474, 630, 32, 2111, 32, 13201, 2390, 106, 32, 530, 30, 308, 784, 32, 3965, 610, 225, 34, 547, 15315, 26, 2356, 32, 1774, 42, 471, 9474, 2678, 3585, 30, 442, 3965, 47, 601, 3965, 30, 1048, 45859, 47, 731, 45859, 30, 9474, 2267, 99, 3585, 81, 8362, 47, 2837, 99, 3585, 81, 8362, 30, 1399, 545, 47250, 81, 5462, 47, 360, 545, 47250, 81, 5462, 30, 9474, 1399, 545, 47250, 81, 731, 45859, 47, 360, 545, 47250, 81, 731, 45859, 27, 291, 2678, 30, 343, 99, 30, 439, 30, 516, 30, 5951, 280, 736, 2867, 39, 79, 291, 415, 646, 5081, 81, 1267, 44, 324, 281, 280, 32120, 26, 99, 30, 439, 30, 516, 30, 343, 99, 27, 324, 415, 442, 3965, 44, 400, 442, 281, 30, 736, 77, 39, 79, 324, 813, 44, 400, 442, 281, 291, 813, 44, 324, 415, 442, 3965, 44, 400, 442, 2678, 30, 343, 99, 30, 439, 30, 516, 30, 5951, 30, 736, 77, 39, 79, 324, 813, 44, 400, 442, 2678, 30, 343, 99, 30, 439, 30, 516, 30, 5951, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5941, 81, 15272, 26, 784, 711, 203, 1524, 20601, 322, 5941, 623, 322, 1778, 4702, 2154, 322, 29135, 438, 11003, 7103, 584 ]
[ 630, 32, 3965, 280, 2065, 32, 11081, 81, 363, 26, 784, 32, 3965, 30, 30104, 784, 32, 29795, 333, 225, 34, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 7291, 26, 784, 27, 967, 3081, 882, 44, 1524, 5197, 31, 452, 31, 19124, 7291, 2993, 584, 415, 330, 4496, 3511, 11710, 733, 25, 328, 630, 1114, 605, 44, 324, 1673, 280, 630, 1114, 605, 710, 4496, 3511, 11710, 733, 785, 291, 813, 44, 324, 1673, 280, 630, 1114, 605, 1365, 4496, 1446, 291, 415, 330, 4496, 3511, 11710, 733, 924, 25, 328, 630, 1114, 605, 44, 324, 1673, 530, 280, 630, 1114, 605, 710, 4496, 3511, 11710, 733, 924, 785, 291, 4348, 330, 4496, 924, 25, 328, 630, 1114, 605, 44, 324, 1673, 530, 280, 630, 1114, 605, 710, 4496, 924, 785, 291, 813, 44, 324, 1673, 530, 280, 225, 34, 32, 34, 291, 442, 3081, 882, 26, 2452, 30, 1673, 530, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 33549, 81, 3780, 8362, 81, 27977, 41542, 26, 4895, 30, 22720, 30, 343, 1269, 30, 3420, 30, 2803, 81, 266, 1507, 30, 9541, 47, 2700, 30, 1115, 5321, 711, 203, 1524, 2555, 312, 33549, 48914, 6225, 31, 41542, 8157, 461, 442, 322, 8157, 3251, 3377, 619, 6942, 432, 3081, 882, 32, 4237, 44, 20921, 529, 4895, 6083, 8825, 432, 1399, 545, 47250, 16540, 308, 35, 86, 6436, 15379, 23692, 27, 529, 1269, 6083, 8825, 432, 16167, 3043, 16540, 308, 35, 86, 6436, 15379, 23692, 27, 529, 86, 1269, 6083, 8825, 432, 322, 3878, 432, 16167, 3043, 16540, 308, 35, 86, 6436, 15379, 23692, 556, 489, 5783, 27, 529, 1298, 6083, 38330, 667, 308, 1382, 2432, 436, 1169, 322, 15500, 27, 529, 2132, 81, 1664, 6083, 24414, 432, 319, 7047, 28, 556, 319, 34805, 28, 308, 1206, 6436, 15379, 23692, 18728, 432, 322, 2815, 2078, 432, 322, 3377, 372, 526, 8157, 3251, 32, 886, 7456, 786, 529, 2521, 82, 2596, 6856, 688, 322, 8435, 3395, 438, 322, 2432, 619, 328, 322, 4552, 5890, 32, 16035, 8419, 30, 4909, 432, 322, 3377, 432, 322, 1932, 5890, 883, 526, 1665, 32, 529, 10529, 6083, 415, 10297, 5218, 6364, 436, 15066, 1395, 526, 21440, 544, 12532, 32, 5388, 11659, 4209, 622, 45842, 372, 310, 3246, 99, 81, 4698, 346, 5582, 44, 14761, 14486, 36, 30, 5774, 32, 11072, 8825, 4304, 322, 2078, 432, 322, 8157, 3251, 3377, 619, 6942, 432, 3081, 882, 30, 328, 322, 2432, 2532, 619, 2953, 884, 328, 529, 2132, 81, 1664, 2541, 529, 4597, 2665, 6083, 14564, 9473, 32, 1348, 438, 432, 322, 2432, 2234, 619, 328, 529, 96, 3246, 99, 81, 4698, 1801, 2940, 688, 3420, 81, 853, 438, 312, 6613, 432, 1591, 31, 25906, 2065, 32, 16771, 101, 6621, 322, 5273, 31, 42512, 667, 2078, 436, 2504, 14486, 32, 1524, 446, 298, 30, 11339, 30, 6314, 2665, 280, 33549, 81, 96, 3246, 99, 81, 4698, 26, 4895, 30, 22720, 30, 343, 1269, 30, 3420, 30, 2803, 81, 266, 1507, 30, 3391, 9541, 30, 1115, 5321, 27, 284, 2803, 280, 3813, 924, 882, 26, 98, 3739, 11339, 7912, 436, 308, 98, 3739, 11339, 7912, 328, 8529, 26, 98, 1700, 30, 11339, 1700, 2177, 1090, 436, 308, 98, 1700, 30, 11339, 1700, 27, 328, 8529, 26, 98, 30, 11339, 2177, 284, 442, 8825, 26, 2132, 474, 428, 4597, 2665, 1130, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 372, 800, 26, 784, 44, 330, 924, 882, 370, 6717, 81, 17980, 44, 629, 280, 225, 34, 30, 10952, 15150, 44, 596, 280, 330, 474, 15913, 5769, 4550, 44, 596, 280, 1665, 27, 967, 596, 44, 1524, 6669, 312, 802, 10293, 432, 322, 786, 461, 2819, 42970, 32, 31945, 44, 14761, 4102, 7615, 81, 17980, 35786, 4991, 2624, 5075, 6717, 16105, 1395, 526, 10043, 308, 5431, 556, 25897, 30, 5934, 6058, 688, 322, 1451, 432, 16105, 1395, 526, 3417, 810, 322, 28033, 432, 322, 42970, 547, 4102, 5431, 15150, 35786, 802, 322, 5341, 6613, 372, 526, 17816, 328, 3668, 432, 10699, 15913, 25, 6237, 409, 3248, 299, 19782, 32, 4102, 3972, 35786, 802, 556, 1665, 2624, 372, 2179, 322, 1688, 32, 15596, 1755, 5852, 22206, 328, 330, 8581, 25, 884, 5420, 30, 1510, 2908, 32431, 31, 28323, 564, 101, 308, 91, 32, 87, 32, 225, 37, 32, 35, 38, 35, 39, 87, 31, 36, 27, 1991, 312, 2179, 1510, 438, 1829, 9136, 372, 4988, 74, 32, 40644, 44, 24618, 322, 802, 10293, 32, 1524, 584, 415, 6937, 26, 3972, 30, 596, 27, 461, 4550, 32, 5729, 922, 20643, 463, 8581, 7831, 324, 442, 316, 32, 1113, 96, 463, 4987, 86, 16886, 8169, 4987, 86, 27, 3730, 48113, 87, 55, 729, 77, 10873, 79, 21194, 86, 29, 7243, 6029, 9254, 345, 44, 308, 100, 32871, 23, 101, 23, 101, 78, 22628, 225, 35, 34, 80, 4572, 101, 10598, 25, 904, 308, 95, 32, 1363, 26, 35, 471, 345, 32, 1363, 26, 36, 471, 345, 32, 1363, 26, 38, 23891, 3227, 463, 2521, 370, 768, 45947, 12304, 6029, 630, 32, 41243, 26, 7615, 81, 17980, 47, 7615, 81, 17980, 30, 10952, 15150, 47, 5431, 15150, 30, 4550, 47, 2521, 29856, 34, 79, 291, 415, 6937, 26, 784, 32, 695, 30, 7515, 32, 6877, 711, 324, 1596, 44, 400, 489, 17980, 280, 429, 410, 26, 3812, 32, 9121, 26, 3812, 32, 751, 35, 34, 26, 784, 32, 530, 2610, 474, 6717, 81, 17980, 324, 2940, 308, 9070, 924, 30, 10091, 711, 400, 442, 596, 26, 784, 32, 695, 27, 474, 10952, 15150, 474, 596, 26, 784, 32, 530, 27, 324, 813, 44, 400, 442, 596, 26, 1497, 26, 784, 32, 695, 30, 489, 17980, 490, 474, 10952, 15150, 474, 596, 26, 1497, 26, 784, 32, 530, 30, 489, 17980, 490, 291, 442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 32, 3965, 280, 2065, 32, 11081, 81, 363, 26, 784, 32, 3965, 30, 30104, 784, 32, 29795, 333, 225, 34, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 7291, 26, 784, 27, 967, 3081, 882, 44, 1524, 5197, 31, 452, 31, 19124, 7291, 2993, 584, 415, 330, 4496, 3511, 11710, 733, 25, 328, 630, 1114, 605, 44, 324, 1673, 280, 630, 1114, 605, 710, 4496, 3511, 11710, 733, 785, 291, 813, 44, 324, 1673, 280, 630, 1114, 605, 1365, 4496, 1446, 291, 415, 330, 4496, 3511, 11710, 733, 924, 25, 328, 630, 1114, 605, 44, 324, 1673, 530, 280, 630, 1114, 605, 710, 4496, 3511, 11710, 733, 924, 785, 291, 4348, 330, 4496, 924, 25, 328, 630, 1114, 605, 44, 324, 1673, 530, 280, 630, 1114, 605, 710, 4496, 924, 785, 291, 813, 44, 324, 1673, 530, 280, 225, 34, 32, 34, 291, 442, 3081, 882, 26, 2452, 30, 1673, 530, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 33549, 81, 3780, 8362, 81, 27977, 41542, 26, 4895, 30, 22720, 30, 343, 1269, 30, 3420, 30, 2803, 81, 266, 1507, 30, 9541, 47, 2700, 30, 1115, 5321, 711, 203, 1524, 2555, 312, 33549, 48914, 6225, 31, 41542, 8157, 461, 442, 322, 8157, 3251, 3377, 619, 6942, 432, 3081, 882, 32, 4237, 44, 20921, 529, 4895, 6083, 8825, 432, 1399, 545, 47250, 16540, 308, 35, 86, 6436, 15379, 23692, 27, 529, 1269, 6083, 8825, 432, 16167, 3043, 16540, 308, 35, 86, 6436, 15379, 23692, 27, 529, 86, 1269, 6083, 8825, 432, 322, 3878, 432, 16167, 3043, 16540, 308, 35, 86, 6436, 15379, 23692, 556, 489, 5783, 27, 529, 1298, 6083, 38330, 667, 308, 1382, 2432, 436, 1169, 322, 15500, 27, 529, 2132, 81, 1664, 6083, 24414, 432, 319, 7047, 28, 556, 319, 34805, 28, 308, 1206, 6436, 15379, 23692, 18728, 432, 322, 2815, 2078, 432, 322, 3377, 372, 526, 8157, 3251, 32, 886, 7456, 786, 529, 2521, 82, 2596, 6856, 688, 322, 8435, 3395, 438, 322, 2432, 619, 328, 322, 4552, 5890, 32, 16035, 8419, 30, 4909, 432, 322, 3377, 432, 322, 1932, 5890, 883, 526, 1665, 32, 529, 10529, 6083, 415, 10297, 5218, 6364, 436, 15066, 1395, 526, 21440, 544, 12532, 32, 5388, 11659, 4209, 622, 45842, 372, 310, 3246, 99, 81, 4698, 346, 5582, 44, 14761, 14486, 36, 30, 5774, 32, 11072, 8825, 4304, 322, 2078, 432, 322, 8157, 3251, 3377, 619, 6942, 432, 3081, 882, 30, 328, 322, 2432, 2532, 619, 2953, 884, 328, 529, 2132, 81, 1664, 2541, 529, 4597, 2665, 6083, 14564, 9473, 32, 1348, 438, 432, 322, 2432, 2234, 619, 328, 529, 96, 3246, 99, 81, 4698, 1801, 2940, 688, 3420, 81, 853, 438, 312, 6613, 432, 1591, 31, 25906, 2065, 32, 16771, 101, 6621, 322, 5273, 31, 42512, 667, 2078, 436, 2504, 14486, 32, 1524, 446, 298, 30, 11339, 30, 6314, 2665, 280, 33549, 81, 96, 3246, 99, 81, 4698, 26, 4895, 30, 22720, 30, 343, 1269, 30, 3420, 30, 2803, 81, 266, 1507, 30, 3391, 9541, 30, 1115, 5321, 27, 284, 2803, 280, 3813, 924, 882, 26, 98, 3739, 11339, 7912, 436, 308, 98, 3739, 11339, 7912, 328, 8529, 26, 98, 1700, 30, 11339, 1700, 2177, 1090, 436, 308, 98, 1700, 30, 11339, 1700, 27, 328, 8529, 26, 98, 30, 11339, 2177, 284, 442, 8825, 26, 2132, 474, 428, 4597, 2665, 1130, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 372, 800, 26, 784, 44, 330, 924, 882, 370, 6717, 81, 17980, 44, 629, 280, 225, 34, 30, 10952, 15150, 44, 596, 280, 330, 474, 15913, 5769, 4550, 44, 596, 280, 1665, 27, 967, 596, 44, 1524, 6669, 312, 802, 10293, 432, 322, 786, 461, 2819, 42970, 32, 31945, 44, 14761, 4102, 7615, 81, 17980, 35786, 4991, 2624, 5075, 6717, 16105, 1395, 526, 10043, 308, 5431, 556, 25897, 30, 5934, 6058, 688, 322, 1451, 432, 16105, 1395, 526, 3417, 810, 322, 28033, 432, 322, 42970, 547, 4102, 5431, 15150, 35786, 802, 322, 5341, 6613, 372, 526, 17816, 328, 3668, 432, 10699, 15913, 25, 6237, 409, 3248, 299, 19782, 32, 4102, 3972, 35786, 802, 556, 1665, 2624, 372, 2179, 322, 1688, 32, 15596, 1755, 5852, 22206, 328, 330, 8581, 25, 884, 5420, 30, 1510, 2908, 32431, 31, 28323, 564, 101, 308, 91, 32, 87, 32, 225, 37, 32, 35, 38, 35, 39, 87, 31, 36, 27, 1991, 312, 2179, 1510, 438, 1829, 9136, 372, 4988, 74, 32, 40644, 44, 24618, 322, 802, 10293, 32, 1524, 584, 415, 6937, 26, 3972, 30, 596, 27, 461, 4550, 32, 5729, 922, 20643, 463, 8581, 7831, 324, 442, 316, 32, 1113, 96, 463, 4987, 86, 16886, 8169, 4987, 86, 27, 3730, 48113, 87, 55, 729, 77, 10873, 79, 21194, 86, 29, 7243, 6029, 9254, 345, 44, 308, 100, 32871, 23, 101, 23, 101, 78, 22628, 225, 35, 34, 80, 4572, 101, 10598, 25, 904, 308, 95, 32, 1363, 26, 35, 471, 345, 32, 1363, 26, 36, 471, 345, 32, 1363, 26, 38, 23891, 3227, 463, 2521, 370, 768, 45947, 12304, 6029, 630, 32, 41243, 26, 7615, 81, 17980, 47, 7615, 81, 17980, 30, 10952, 15150, 47, 5431, 15150, 30, 4550, 47, 2521, 29856, 34, 79, 291, 415, 6937, 26, 784, 32, 695, 30, 7515, 32, 6877, 711, 324, 1596, 44, 400, 489, 17980, 280, 429, 410, 26, 3812, 32, 9121, 26, 3812, 32, 751, 35, 34, 26, 784, 32, 530, 2610, 474, 6717, 81, 17980, 324, 2940, 308, 9070, 924, 30, 10091, 711, 400, 442, 596, 26, 784, 32, 695, 27, 474, 10952, 15150, 474, 596, 26, 784, 32, 530, 27, 324, 813, 44, 400, 442, 596, 26, 1497, 26, 784, 32, 695, 30, 489, 17980, 490, 474, 10952, 15150, 474, 596, 26, 1497, 26, 784, 32, 530, 30, 489, 17980, 490, 291, 442 ]
[ 596, 26, 784, 32, 695, 27, 474, 330, 474, 15913, 330, 474, 596, 26, 784, 32, 530, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 9967, 1298, 26, 6933, 30, 3420, 30, 319, 1132, 30, 1115, 5321, 711, 203, 1524, 26968, 312, 667, 623, 1048, 36905, 32, 31945, 44, 14761, 4102, 1298, 35786, 20695, 458, 438, 322, 667, 372, 526, 22423, 32, 9043, 442, 3154, 312, 1451, 556, 312, 2065, 32, 16771, 32, 4102, 28, 1132, 35786, 1604, 39161, 4209, 432, 3420, 32, 15809, 1510, 884, 646, 6942, 432, 529, 924, 882, 82, 884, 11508, 619, 12388, 32, 11659, 4209, 5420, 44, 4102, 64, 6600, 35786, 1451, 432, 28740, 87, 31, 7339, 315, 6655, 32, 1670, 646, 3417, 30, 10071, 372, 225, 35, 34, 34, 34, 4102, 11452, 81, 452, 81, 13558, 35786, 1149, 432, 3756, 3738, 372, 5079, 44, 415, 1591, 432, 3282, 438, 19565, 322, 2702, 18950, 3111, 438, 16834, 5049, 4056, 32, 21232, 688, 458, 4796, 328, 4074, 600, 20280, 5258, 19, 886, 3756, 3738, 328, 458, 1149, 1395, 526, 36680, 432, 4102, 984, 16688, 4102, 11452, 81, 452, 81, 5961, 35786, 1149, 432, 3756, 3738, 372, 7116, 44, 415, 1591, 432, 3282, 438, 19565, 322, 2702, 18950, 3111, 438, 20434, 30, 7152, 372, 526, 16834, 32, 886, 3756, 3738, 328, 458, 1149, 1395, 526, 36680, 432, 4102, 984, 16688, 5582, 44, 14761, 4102, 1267, 35786, 600, 529, 924, 882, 82, 623, 322, 1056, 32, 886, 1048, 438, 28625, 4729, 312, 28740, 87, 31, 7339, 315, 10078, 372, 29354, 1048, 36905, 32, 1524, 6925, 665, 745, 81, 3855, 26, 106, 711, 324, 415, 6937, 26, 106, 30, 9011, 711, 400, 442, 816, 32, 3855, 346, 324, 813, 44, 400, 442, 816, 584, 415, 330, 64, 6600, 25, 646, 328, 10306, 44, 324, 10306, 710, 64, 6600, 785, 280, 225, 35, 34, 34, 34, 291, 415, 330, 11452, 81, 452, 81, 5961, 25, 646, 328, 10306, 44, 324, 10306, 710, 11452, 81, 452, 81, 5961, 785, 280, 1605, 291, 415, 330, 11452, 81, 452, 81, 8101, 25, 646, 328, 10306, 44, 324, 10306, 710, 11452, 81, 452, 81, 8101, 785, 280, 1605, 291, 5651, 853, 280, 3420, 2740, 1132, 27, 291, 588, 458, 3352, 996, 622, 3154, 312, 1451, 556, 312, 2065, 32, 955, 291, 1230, 21945, 280, 5651, 853, 319, 225, 34, 291, 16561, 40004, 280, 225, 34, 291, 2218, 16561, 40004, 333, 10306, 710, 64, 6600, 12132, 324, 1596, 44, 400, 588, 30365, 19377, 44, 73, 34, 35, 38, 36, 400, 1230, 21945, 1454, 308, 1298, 2740, 77, 1409, 81, 3855, 26, 83, 27, 2476, 436, 312, 328, 2181, 1130, 429, 5651, 853, 27, 1115, 225, 36, 400, 16561, 40004, 1454, 225, 35, 324, 2940, 3268, 619, 484, 44, 225, 588, 30365, 19377, 44, 73, 34, 41, 34, 37, 400, 415, 1346, 26, 38003, 26, 87, 30, 2971, 411, 27, 436, 2971, 411, 328, 10306, 710, 11452, 81, 452, 81, 5961, 37886, 528, 10306, 710, 64, 6600, 785, 5912, 225, 35, 400, 4348, 1346, 26, 38003, 26, 87, 30, 2971, 411, 27, 436, 2971, 411, 328, 10306, 710, 11452, 81, 452, 81, 8101, 37886, 528, 3097, 400, 813, 44, 528, 3636, 291, 442, 9011, 26, 6009, 853, 30, 1230, 21945, 1115, 225, 34, 32, 39, 517, 308, 5321, 710, 64, 6600, 785, 429, 225, 35, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 6146, 5708, 266, 2487, 26, 99, 30, 570, 30, 559, 89, 30, 309, 711, 203, 1524, 8627, 1191, 8085, 266, 2487, 26703, 299, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 4102, 57, 35786, 10365, 4102, 33739, 35786, 10423, 432, 46412, 3315, 4102, 101, 35786, 8742, 6301, 3395, 308, 3374, 526, 225, 35, 30, 225, 36, 30, 225, 37, 27, 32458, 44, 24618, 4102, 57, 33, 99, 44776, 37, 31, 101, 4586, 2832, 3736, 26, 99, 80, 36, 28, 33739, 80, 36, 4165, 101, 27, 572, 1524, 446, 442, 570, 517, 2678, 1115, 308, 37, 429, 309, 27, 319, 2065, 32, 2832, 3736, 26, 99, 319, 559, 89, 27, 1115, 225, 36, 517, 309, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8085, 266, 2487, 19422, 431, 26, 99, 30, 570, 30, 559, 89, 30, 7377, 711, 203, 1524, 16794, 48868, 8085, 266, 2487, 31, 19422, 431, 26703, 299, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 4102, 57, 35786, 10365, 432, 322, 8085, 266, 2487, 31, 6586, 4102, 33739, 35786, 10423, 432, 46412, 3315, 4102, 4893, 35786, 7169, 31, 26337, 19715, 32458, 44, 24618, 4102, 57, 319, 2910, 3736, 99, 80, 36, 28, 33739, 80, 36, 33, 37, 27, 572, 415, 4102, 99, 46, 99, 81, 12595, 572, 461, 4102, 83, 28, 99, 80, 4893, 572, 5878, 32, 4102, 99, 81, 12595, 572, 461, 4102, 83, 572, 884, 19829, 645, 5479, 432, 19052, 4321, 821, 322, 8184, 31, 1498, 32, 498, 1731, 1165, 44, 551, 32, 677, 38169, 644, 1804, 44, 399, 537, 8085, 266, 2487, 31, 19422, 431, 1542, 32, 971, 32, 3179, 557, 32, 16155, 23248, 751, 100, 32, 308, 36, 34, 35, 34, 27, 225, 38, 37, 30, 225, 41, 35, 40, 31, 41, 35, 43, 32, 1524, 446, 442, 8085, 266, 2487, 19422, 431, 6221, 26, 99, 30, 570, 30, 559, 89, 30, 7377, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 23506, 431, 5708, 266, 2487, 26, 99, 30, 312, 30, 7377, 30, 559, 89, 711, 203, 1524, 16794, 48868, 23506, 431, 31, 5708, 266, 2487, 26703, 299, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 4102, 83, 35786, 10365, 432, 322, 7169, 31, 26337, 5573, 4102, 4893, 35786, 7169, 31, 26337, 19715, 4102, 33739 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 596, 26, 784, 32, 695, 27, 474, 330, 474, 15913, 330, 474, 596, 26, 784, 32, 530, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 9967, 1298, 26, 6933, 30, 3420, 30, 319, 1132, 30, 1115, 5321, 711, 203, 1524, 26968, 312, 667, 623, 1048, 36905, 32, 31945, 44, 14761, 4102, 1298, 35786, 20695, 458, 438, 322, 667, 372, 526, 22423, 32, 9043, 442, 3154, 312, 1451, 556, 312, 2065, 32, 16771, 32, 4102, 28, 1132, 35786, 1604, 39161, 4209, 432, 3420, 32, 15809, 1510, 884, 646, 6942, 432, 529, 924, 882, 82, 884, 11508, 619, 12388, 32, 11659, 4209, 5420, 44, 4102, 64, 6600, 35786, 1451, 432, 28740, 87, 31, 7339, 315, 6655, 32, 1670, 646, 3417, 30, 10071, 372, 225, 35, 34, 34, 34, 4102, 11452, 81, 452, 81, 13558, 35786, 1149, 432, 3756, 3738, 372, 5079, 44, 415, 1591, 432, 3282, 438, 19565, 322, 2702, 18950, 3111, 438, 16834, 5049, 4056, 32, 21232, 688, 458, 4796, 328, 4074, 600, 20280, 5258, 19, 886, 3756, 3738, 328, 458, 1149, 1395, 526, 36680, 432, 4102, 984, 16688, 4102, 11452, 81, 452, 81, 5961, 35786, 1149, 432, 3756, 3738, 372, 7116, 44, 415, 1591, 432, 3282, 438, 19565, 322, 2702, 18950, 3111, 438, 20434, 30, 7152, 372, 526, 16834, 32, 886, 3756, 3738, 328, 458, 1149, 1395, 526, 36680, 432, 4102, 984, 16688, 5582, 44, 14761, 4102, 1267, 35786, 600, 529, 924, 882, 82, 623, 322, 1056, 32, 886, 1048, 438, 28625, 4729, 312, 28740, 87, 31, 7339, 315, 10078, 372, 29354, 1048, 36905, 32, 1524, 6925, 665, 745, 81, 3855, 26, 106, 711, 324, 415, 6937, 26, 106, 30, 9011, 711, 400, 442, 816, 32, 3855, 346, 324, 813, 44, 400, 442, 816, 584, 415, 330, 64, 6600, 25, 646, 328, 10306, 44, 324, 10306, 710, 64, 6600, 785, 280, 225, 35, 34, 34, 34, 291, 415, 330, 11452, 81, 452, 81, 5961, 25, 646, 328, 10306, 44, 324, 10306, 710, 11452, 81, 452, 81, 5961, 785, 280, 1605, 291, 415, 330, 11452, 81, 452, 81, 8101, 25, 646, 328, 10306, 44, 324, 10306, 710, 11452, 81, 452, 81, 8101, 785, 280, 1605, 291, 5651, 853, 280, 3420, 2740, 1132, 27, 291, 588, 458, 3352, 996, 622, 3154, 312, 1451, 556, 312, 2065, 32, 955, 291, 1230, 21945, 280, 5651, 853, 319, 225, 34, 291, 16561, 40004, 280, 225, 34, 291, 2218, 16561, 40004, 333, 10306, 710, 64, 6600, 12132, 324, 1596, 44, 400, 588, 30365, 19377, 44, 73, 34, 35, 38, 36, 400, 1230, 21945, 1454, 308, 1298, 2740, 77, 1409, 81, 3855, 26, 83, 27, 2476, 436, 312, 328, 2181, 1130, 429, 5651, 853, 27, 1115, 225, 36, 400, 16561, 40004, 1454, 225, 35, 324, 2940, 3268, 619, 484, 44, 225, 588, 30365, 19377, 44, 73, 34, 41, 34, 37, 400, 415, 1346, 26, 38003, 26, 87, 30, 2971, 411, 27, 436, 2971, 411, 328, 10306, 710, 11452, 81, 452, 81, 5961, 37886, 528, 10306, 710, 64, 6600, 785, 5912, 225, 35, 400, 4348, 1346, 26, 38003, 26, 87, 30, 2971, 411, 27, 436, 2971, 411, 328, 10306, 710, 11452, 81, 452, 81, 8101, 37886, 528, 3097, 400, 813, 44, 528, 3636, 291, 442, 9011, 26, 6009, 853, 30, 1230, 21945, 1115, 225, 34, 32, 39, 517, 308, 5321, 710, 64, 6600, 785, 429, 225, 35, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 6146, 5708, 266, 2487, 26, 99, 30, 570, 30, 559, 89, 30, 309, 711, 203, 1524, 8627, 1191, 8085, 266, 2487, 26703, 299, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 4102, 57, 35786, 10365, 4102, 33739, 35786, 10423, 432, 46412, 3315, 4102, 101, 35786, 8742, 6301, 3395, 308, 3374, 526, 225, 35, 30, 225, 36, 30, 225, 37, 27, 32458, 44, 24618, 4102, 57, 33, 99, 44776, 37, 31, 101, 4586, 2832, 3736, 26, 99, 80, 36, 28, 33739, 80, 36, 4165, 101, 27, 572, 1524, 446, 442, 570, 517, 2678, 1115, 308, 37, 429, 309, 27, 319, 2065, 32, 2832, 3736, 26, 99, 319, 559, 89, 27, 1115, 225, 36, 517, 309, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8085, 266, 2487, 19422, 431, 26, 99, 30, 570, 30, 559, 89, 30, 7377, 711, 203, 1524, 16794, 48868, 8085, 266, 2487, 31, 19422, 431, 26703, 299, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 4102, 57, 35786, 10365, 432, 322, 8085, 266, 2487, 31, 6586, 4102, 33739, 35786, 10423, 432, 46412, 3315, 4102, 4893, 35786, 7169, 31, 26337, 19715, 32458, 44, 24618, 4102, 57, 319, 2910, 3736, 99, 80, 36, 28, 33739, 80, 36, 33, 37, 27, 572, 415, 4102, 99, 46, 99, 81, 12595, 572, 461, 4102, 83, 28, 99, 80, 4893, 572, 5878, 32, 4102, 99, 81, 12595, 572, 461, 4102, 83, 572, 884, 19829, 645, 5479, 432, 19052, 4321, 821, 322, 8184, 31, 1498, 32, 498, 1731, 1165, 44, 551, 32, 677, 38169, 644, 1804, 44, 399, 537, 8085, 266, 2487, 31, 19422, 431, 1542, 32, 971, 32, 3179, 557, 32, 16155, 23248, 751, 100, 32, 308, 36, 34, 35, 34, 27, 225, 38, 37, 30, 225, 41, 35, 40, 31, 41, 35, 43, 32, 1524, 446, 442, 8085, 266, 2487, 19422, 431, 6221, 26, 99, 30, 570, 30, 559, 89, 30, 7377, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 23506, 431, 5708, 266, 2487, 26, 99, 30, 312, 30, 7377, 30, 559, 89, 711, 203, 1524, 16794, 48868, 23506, 431, 31, 5708, 266, 2487, 26703, 299, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 4102, 83, 35786, 10365, 432, 322, 7169, 31, 26337, 5573, 4102, 4893, 35786, 7169, 31, 26337, 19715, 4102, 33739 ]
[ 35786, 10423, 432, 46412, 3315, 32458, 44, 24618, 4102, 57, 319, 2910, 3736, 99, 80, 36, 28, 33739, 80, 36, 33, 37, 27, 572, 415, 4102, 99, 48, 99, 81, 12595, 572, 461, 4102, 83, 28, 99, 80, 4893, 572, 5878, 32, 4102, 99, 81, 12595, 572, 461, 4102, 57, 572, 884, 19829, 645, 5479, 432, 19052, 4321, 821, 322, 8184, 31, 1498, 32, 498, 1731, 1165, 44, 551, 32, 677, 38169, 644, 1804, 44, 399, 537, 8085, 266, 2487, 31, 19422, 431, 1542, 32, 971, 32, 3179, 557, 32, 16155, 23248, 751, 100, 32, 308, 36, 34, 35, 34, 27, 225, 38, 37, 30, 225, 41, 35, 40, 31, 41, 35, 43, 32, 1524, 446, 442, 23506, 431, 5708, 266, 2487, 6221, 26, 99, 30, 312, 30, 7377, 30, 559, 89, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 23506, 431, 5708, 266, 2487, 19422, 431, 26, 99, 30, 312, 30, 7377, 30, 559, 89, 30, 11823, 711, 203, 1524, 16794, 48868, 23506, 431, 31, 5708, 266, 2487, 31, 19422, 431, 26703, 299, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 4102, 83, 35786, 10365, 432, 322, 1932, 7169, 31, 26337, 5573, 4102, 4893, 35786, 19715, 432, 322, 1932, 7169, 31, 26337, 5573, 4102, 33739, 35786, 10423, 432, 46412, 3315, 4102, 5992, 35786, 19715, 432, 322, 3100, 7169, 31, 26337, 5573, 32458, 44, 24618, 4102, 83, 28, 99, 80, 4893, 572, 415, 4102, 99, 46, 99, 81, 12595, 35, 16688, 4102, 57, 319, 2910, 3736, 99, 80, 36, 28, 33739, 80, 36, 33, 37, 27, 572, 415, 4102, 99, 81, 12595, 35, 46, 99, 46, 99, 81, 12595, 36, 572, 461, 4102, 84, 28, 99, 80, 5992, 572, 415, 4102, 99, 81, 12595, 36, 46, 99, 16688, 4102, 99, 81, 12595, 35, 18769, 4102, 99, 81, 12595, 36, 18769, 4102, 57, 572, 461, 4102, 84, 572, 884, 19829, 645, 5479, 432, 19052, 4321, 821, 322, 8184, 31, 1498, 101, 32, 498, 1731, 1165, 44, 551, 32, 677, 38169, 644, 1804, 44, 399, 537, 8085, 266, 2487, 31, 19422, 431, 1542, 32, 971, 32, 3179, 557, 32, 16155, 23248, 751, 100, 32, 308, 36, 34, 35, 34, 27, 225, 38, 37, 30, 225, 41, 35, 40, 31, 41, 35, 43, 32, 1524, 446, 442, 23506, 431, 5708, 266, 2487, 6221, 26, 99, 30, 312, 30, 7377, 30, 559, 89, 30, 11823, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8085, 266, 2487, 19422, 431, 5708, 266, 2487, 26, 99, 30, 570, 30, 559, 89, 35, 30, 7377, 30, 559, 89, 36, 711, 203, 1524, 16794, 48868, 8085, 266, 2487, 31, 19422, 431, 31, 5708, 266, 2487, 26703, 299, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 4102, 57, 35786, 10365, 436, 322, 1932, 8085, 266, 2487, 31, 6586, 4102, 33739, 35, 35786, 322, 1932, 10423, 432, 46412, 3315, 4102, 4893, 35786, 322, 7169, 31, 26337, 19715, 4102, 33739, 36, 35786, 322, 3100, 10423, 432, 46412, 3315, 32458, 44, 24618, 4102, 57, 28, 2832, 3736, 99, 80, 36, 28, 33739, 35, 80, 36, 33, 37, 27, 572, 415, 4102, 99, 46, 99, 81, 12595, 35, 16688, 4102, 51, 28, 99, 80, 4893, 572, 415, 4102, 99, 81, 12595, 35, 2511, 2678, 2511, 99, 81, 12595, 36, 16688, 4102, 57, 36, 28, 2832, 3736, 99, 80, 36, 28, 33739, 36, 80, 36, 33, 37, 27, 572, 415, 4102, 99, 81, 12595, 36, 46, 99, 16688, 886, 3377, 4102, 51, 18769, 572, 57, 36, 18769, 4102, 99, 81, 12595, 35, 18769, 4102, 99, 81, 12595, 36, 572, 884, 19829, 645, 5479, 432, 19052, 4321, 821, 322, 8184, 31, 1498, 101, 32, 498, 1731, 1165, 44, 551, 32, 677, 38169, 644, 1804, 44, 399, 537, 8085, 266, 2487, 31, 19422, 431, 1542, 32, 971, 32, 3179, 557, 32, 16155, 23248, 751, 100, 32, 308, 36, 34, 35, 34, 27, 225, 38, 37, 30, 225, 41, 35, 40, 31, 41, 35, 43, 32, 1524, 446, 442, 8085, 266, 2487, 19422, 431, 6221, 26, 99, 30, 570, 30, 559, 89, 35, 30, 7377, 30, 559, 89, 36, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 475, 757, 318, 6768, 26337, 26, 99, 30, 312, 30, 7377, 30, 16355, 711, 203, 1524, 54, 757, 318, 7169, 31, 26337, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 4102, 83, 35786, 10365, 4102, 4893, 35786, 19715, 4102, 11756, 35786, 420, 1354, 95, 432, 322, 343, 30872, 29354, 32458, 44, 24618, 4102, 83, 28, 99, 80, 4893, 28, 2832, 3736, 99, 80, 36, 13824, 36, 28, 11756, 80, 36, 490, 572, 1524, 446, 442, 312, 319, 2678, 1115, 7377, 319, 2065, 32, 2832, 3736, 99, 1115, 225, 36, 517, 308, 36, 319, 16355, 1115, 225, 36, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8554, 26337, 5708, 266, 2487, 19422, 431, 2775, 26, 99, 30, 399, 30, 7377, 30, 570, 30, 559, 89, 30, 11823, 30, 390, 711, 203, 1524, 4934, 432, 312, 8554, 31, 26337, 30, 312, 8085, 266, 2487, 31, 19422, 431, 14486, 461, 312, 8082, 32, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 308, 39370, 8872, 27, 4102, 51, 35786, 19315, 10365, 432, 322, 7169, 31, 26337, 4102, 4893, 35786, 7169, 31, 26337, 19715, 4102, 57, 35786, 19315, 10365, 432, 322, 8085, 266, 2487, 31, 19422, 431, 14486, 4102, 33739, 35786, 45555, 432, 46412, 3315, 4102, 5992, 35786, 7169, 31, 26337, 19715, 432, 322, 8085, 266, 2487, 31, 19422, 431, 14486, 4102, 53, 35786, 1015, 4823, 8082, 32458, 44, 24618, 4102, 51, 28, 99, 80, 4893, 474, 8085, 266, 2487, 19422, 431, 26, 99, 30, 57, 30, 33739, 30, 5992, 27, 474, 390, 572 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 35786, 10423, 432, 46412, 3315, 32458, 44, 24618, 4102, 57, 319, 2910, 3736, 99, 80, 36, 28, 33739, 80, 36, 33, 37, 27, 572, 415, 4102, 99, 48, 99, 81, 12595, 572, 461, 4102, 83, 28, 99, 80, 4893, 572, 5878, 32, 4102, 99, 81, 12595, 572, 461, 4102, 57, 572, 884, 19829, 645, 5479, 432, 19052, 4321, 821, 322, 8184, 31, 1498, 32, 498, 1731, 1165, 44, 551, 32, 677, 38169, 644, 1804, 44, 399, 537, 8085, 266, 2487, 31, 19422, 431, 1542, 32, 971, 32, 3179, 557, 32, 16155, 23248, 751, 100, 32, 308, 36, 34, 35, 34, 27, 225, 38, 37, 30, 225, 41, 35, 40, 31, 41, 35, 43, 32, 1524, 446, 442, 23506, 431, 5708, 266, 2487, 6221, 26, 99, 30, 312, 30, 7377, 30, 559, 89, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 23506, 431, 5708, 266, 2487, 19422, 431, 26, 99, 30, 312, 30, 7377, 30, 559, 89, 30, 11823, 711, 203, 1524, 16794, 48868, 23506, 431, 31, 5708, 266, 2487, 31, 19422, 431, 26703, 299, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 4102, 83, 35786, 10365, 432, 322, 1932, 7169, 31, 26337, 5573, 4102, 4893, 35786, 19715, 432, 322, 1932, 7169, 31, 26337, 5573, 4102, 33739, 35786, 10423, 432, 46412, 3315, 4102, 5992, 35786, 19715, 432, 322, 3100, 7169, 31, 26337, 5573, 32458, 44, 24618, 4102, 83, 28, 99, 80, 4893, 572, 415, 4102, 99, 46, 99, 81, 12595, 35, 16688, 4102, 57, 319, 2910, 3736, 99, 80, 36, 28, 33739, 80, 36, 33, 37, 27, 572, 415, 4102, 99, 81, 12595, 35, 46, 99, 46, 99, 81, 12595, 36, 572, 461, 4102, 84, 28, 99, 80, 5992, 572, 415, 4102, 99, 81, 12595, 36, 46, 99, 16688, 4102, 99, 81, 12595, 35, 18769, 4102, 99, 81, 12595, 36, 18769, 4102, 57, 572, 461, 4102, 84, 572, 884, 19829, 645, 5479, 432, 19052, 4321, 821, 322, 8184, 31, 1498, 101, 32, 498, 1731, 1165, 44, 551, 32, 677, 38169, 644, 1804, 44, 399, 537, 8085, 266, 2487, 31, 19422, 431, 1542, 32, 971, 32, 3179, 557, 32, 16155, 23248, 751, 100, 32, 308, 36, 34, 35, 34, 27, 225, 38, 37, 30, 225, 41, 35, 40, 31, 41, 35, 43, 32, 1524, 446, 442, 23506, 431, 5708, 266, 2487, 6221, 26, 99, 30, 312, 30, 7377, 30, 559, 89, 30, 11823, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8085, 266, 2487, 19422, 431, 5708, 266, 2487, 26, 99, 30, 570, 30, 559, 89, 35, 30, 7377, 30, 559, 89, 36, 711, 203, 1524, 16794, 48868, 8085, 266, 2487, 31, 19422, 431, 31, 5708, 266, 2487, 26703, 299, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 4102, 57, 35786, 10365, 436, 322, 1932, 8085, 266, 2487, 31, 6586, 4102, 33739, 35, 35786, 322, 1932, 10423, 432, 46412, 3315, 4102, 4893, 35786, 322, 7169, 31, 26337, 19715, 4102, 33739, 36, 35786, 322, 3100, 10423, 432, 46412, 3315, 32458, 44, 24618, 4102, 57, 28, 2832, 3736, 99, 80, 36, 28, 33739, 35, 80, 36, 33, 37, 27, 572, 415, 4102, 99, 46, 99, 81, 12595, 35, 16688, 4102, 51, 28, 99, 80, 4893, 572, 415, 4102, 99, 81, 12595, 35, 2511, 2678, 2511, 99, 81, 12595, 36, 16688, 4102, 57, 36, 28, 2832, 3736, 99, 80, 36, 28, 33739, 36, 80, 36, 33, 37, 27, 572, 415, 4102, 99, 81, 12595, 36, 46, 99, 16688, 886, 3377, 4102, 51, 18769, 572, 57, 36, 18769, 4102, 99, 81, 12595, 35, 18769, 4102, 99, 81, 12595, 36, 572, 884, 19829, 645, 5479, 432, 19052, 4321, 821, 322, 8184, 31, 1498, 101, 32, 498, 1731, 1165, 44, 551, 32, 677, 38169, 644, 1804, 44, 399, 537, 8085, 266, 2487, 31, 19422, 431, 1542, 32, 971, 32, 3179, 557, 32, 16155, 23248, 751, 100, 32, 308, 36, 34, 35, 34, 27, 225, 38, 37, 30, 225, 41, 35, 40, 31, 41, 35, 43, 32, 1524, 446, 442, 8085, 266, 2487, 19422, 431, 6221, 26, 99, 30, 570, 30, 559, 89, 35, 30, 7377, 30, 559, 89, 36, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 475, 757, 318, 6768, 26337, 26, 99, 30, 312, 30, 7377, 30, 16355, 711, 203, 1524, 54, 757, 318, 7169, 31, 26337, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 4102, 83, 35786, 10365, 4102, 4893, 35786, 19715, 4102, 11756, 35786, 420, 1354, 95, 432, 322, 343, 30872, 29354, 32458, 44, 24618, 4102, 83, 28, 99, 80, 4893, 28, 2832, 3736, 99, 80, 36, 13824, 36, 28, 11756, 80, 36, 490, 572, 1524, 446, 442, 312, 319, 2678, 1115, 7377, 319, 2065, 32, 2832, 3736, 99, 1115, 225, 36, 517, 308, 36, 319, 16355, 1115, 225, 36, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8554, 26337, 5708, 266, 2487, 19422, 431, 2775, 26, 99, 30, 399, 30, 7377, 30, 570, 30, 559, 89, 30, 11823, 30, 390, 711, 203, 1524, 4934, 432, 312, 8554, 31, 26337, 30, 312, 8085, 266, 2487, 31, 19422, 431, 14486, 461, 312, 8082, 32, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 308, 39370, 8872, 27, 4102, 51, 35786, 19315, 10365, 432, 322, 7169, 31, 26337, 4102, 4893, 35786, 7169, 31, 26337, 19715, 4102, 57, 35786, 19315, 10365, 432, 322, 8085, 266, 2487, 31, 19422, 431, 14486, 4102, 33739, 35786, 45555, 432, 46412, 3315, 4102, 5992, 35786, 7169, 31, 26337, 19715, 432, 322, 8085, 266, 2487, 31, 19422, 431, 14486, 4102, 53, 35786, 1015, 4823, 8082, 32458, 44, 24618, 4102, 51, 28, 99, 80, 4893, 474, 8085, 266, 2487, 19422, 431, 26, 99, 30, 57, 30, 33739, 30, 5992, 27, 474, 390, 572 ]
[ 1524, 446, 442, 8554, 26337, 12167, 5465, 26, 99, 30, 399, 30, 7377, 30, 390, 27, 474, 8085, 266, 2487, 19422, 431, 26, 99, 30, 570, 30, 559, 89, 30, 11823, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8085, 266, 2487, 19422, 431, 6221, 26, 99, 30, 570, 30, 319, 68, 5360, 32171, 302, 711, 203, 1524, 16794, 48868, 6959, 31, 2050, 8085, 266, 2487, 31, 19422, 431, 26703, 299, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 4102, 57, 35786, 10365, 436, 322, 1932, 8085, 266, 2487, 31, 6586, 46412, 3315, 461, 7169, 31, 26337, 19715, 101, 432, 322, 36059, 8710, 32458, 44, 24618, 886, 29135, 438, 312, 15385, 3767, 667, 623, 20778, 1932, 40391, 32, 886, 5456, 1741, 4981, 328, 4102, 99, 572, 3733, 322, 36059, 8710, 461, 322, 29135, 23851, 432, 3026, 308, 7343, 322, 1932, 27, 884, 19829, 645, 5479, 432, 19052, 4321, 308, 18037, 543, 432, 322, 667, 461, 2819, 1932, 27640, 27, 821, 322, 3168, 4981, 432, 322, 26374, 32, 8085, 266, 2487, 31, 681, 308, 572, 57, 28, 2832, 3736, 99, 80, 36, 28, 33739, 35, 80, 36, 33, 37, 27, 572, 27, 461, 8554, 31, 26337, 827, 308, 572, 51, 28, 99, 80, 4893, 572, 27, 8710, 1976, 2504, 1604, 328, 9623, 1741, 6613, 32, 498, 1731, 1165, 44, 551, 32, 677, 38169, 644, 1804, 44, 399, 537, 8085, 266, 2487, 31, 19422, 431, 1542, 32, 971, 32, 3179, 557, 32, 16155, 23248, 751, 100, 32, 308, 36, 34, 35, 34, 27, 225, 38, 37, 30, 225, 41, 35, 40, 31, 41, 35, 43, 32, 1524, 446, 5247, 9410, 280, 570, 284, 46980, 280, 428, 5962, 2678, 44, 8085, 266, 2487, 26, 99, 30, 570, 30, 559, 5360, 32171, 302, 77, 34, 25456, 284, 10193, 280, 2065, 32, 5783, 81, 6228, 26, 99, 30, 9710, 47, 2356, 32, 2420, 27, 284, 13383, 280, 1605, 284, 436, 595, 328, 2155, 26, 35, 30, 2069, 26, 68, 5360, 32171, 302, 8531, 291, 415, 595, 904, 225, 36, 44, 324, 588, 559, 5360, 32171, 302, 77, 91, 79, 438, 600, 19715, 30, 559, 5360, 32171, 302, 77, 91, 31, 35, 79, 438, 312, 10423, 432, 46412, 3315, 324, 2678, 12595, 280, 617, 7649, 2518, 81, 99, 12595, 26, 68, 5360, 32171, 302, 77, 91, 614, 559, 5360, 32171, 302, 77, 91, 429, 225, 35, 614, 225, 37, 27, 324, 5247, 9410, 280, 617, 7649, 2518, 81, 51, 26, 68, 5360, 32171, 302, 77, 91, 614, 559, 5360, 32171, 302, 77, 91, 429, 225, 35, 614, 225, 37, 30, 5247, 9410, 27, 324, 46980, 32, 1689, 26, 5962, 2678, 30, 312, 47, 3804, 9410, 30, 7377, 47, 68, 5360, 32171, 302, 77, 91, 2786, 8554, 26337, 26, 99, 30, 312, 30, 7377, 490, 291, 813, 44, 324, 588, 559, 5360, 32171, 302, 77, 91, 79, 438, 312, 10423, 432, 46412, 3315, 30, 559, 5360, 32171, 302, 77, 91, 31, 35, 79, 438, 312, 7169, 31, 26337, 19715, 324, 2678, 12595, 280, 617, 7649, 2518, 81, 99, 12595, 26, 68, 5360, 32171, 302, 77, 91, 429, 225, 35, 614, 559, 5360, 32171, 302, 77, 91, 614, 225, 37, 27, 324, 5247, 9410, 280, 617, 7649, 2518, 81, 57, 26, 68, 5360, 32171, 302, 77, 91, 429, 225, 35, 614, 559, 5360, 32171, 302, 77, 91, 614, 225, 37, 30, 5247, 9410, 27, 324, 46980, 32, 1689, 26, 5962, 2678, 30, 570, 47, 3804, 9410, 30, 559, 89, 47, 68, 5360, 32171, 302, 77, 91, 2786, 8085, 266, 2487, 26, 99, 30, 570, 30, 559, 89, 490, 291, 588, 458, 17732, 372, 322, 4552, 291, 13383, 32, 1689, 26, 7711, 549, 308, 99, 333, 2678, 12595, 490, 291, 10193, 77, 99, 333, 2678, 12595, 79, 280, 3177, 284, 13383, 32, 1689, 26, 7711, 27, 284, 442, 2065, 32, 21930, 3767, 26, 99, 30, 13383, 30, 46980, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 23506, 431, 5708, 266, 2487, 6221, 26, 99, 30, 399, 30, 319, 32171, 302, 68, 5360, 711, 203, 1524, 16794, 48868, 6959, 31, 2050, 23506, 431, 31, 5708, 266, 2487, 26703, 299, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 4102, 51, 35786, 10365, 436, 322, 1932, 8554, 31, 26337, 31, 6586, 46412, 3315, 461, 7169, 31, 26337, 19715, 101, 432, 322, 36059, 8710, 32458, 44, 24618, 886, 29135, 438, 312, 15385, 3767, 667, 623, 20778, 1932, 40391, 32, 886, 5456, 1741, 4981, 328, 4102, 99, 572, 3733, 322, 36059, 8710, 461, 322, 29135, 23851, 432, 3026, 308, 7343, 322, 1932, 27, 884, 19829, 645, 5479, 432, 19052, 4321, 308, 18037, 543, 432, 322, 667, 461, 2819, 1932, 27640, 27, 821, 322, 3168, 4981, 432, 322, 26374, 32, 8085, 266, 2487, 31, 681, 308, 572, 57, 28, 2832, 3736, 99, 80, 36, 28, 33739, 35, 80, 36, 33, 37, 27, 572, 27, 461, 8554, 31, 26337, 827, 308, 572, 51, 28, 99, 80, 4893, 572, 27, 8710, 1976, 2504, 1604, 328, 9623, 1741, 6613, 32, 498, 1731, 1165, 44, 551, 32, 677, 38169, 644, 1804, 44, 399, 537, 8085, 266, 2487, 31, 19422, 431, 1542, 32, 971, 32, 3179, 557, 32, 16155, 23248, 751, 100, 32, 308, 36, 34, 35, 34, 27, 225, 38, 37, 30, 225, 41, 35, 40, 31, 41, 35, 43, 32, 1524, 446, 5247, 9410, 280, 399, 284, 46980, 280, 428, 5962, 2678, 44, 8554, 26337, 26, 99, 30, 399, 30, 743, 833, 302, 68, 5360, 77, 34, 25456, 284, 10193, 280, 2065, 32, 5783, 81, 6228, 26, 99, 30, 9710, 47, 2356, 32, 2420, 27, 284, 13383, 280, 1605, 284, 436, 595, 328, 2155, 26, 35, 30, 2069, 26, 32171, 302, 68, 5360, 8531, 291, 415, 595, 904, 225, 36, 44, 324, 588, 743, 833, 302, 68, 5360, 77, 91, 79, 438, 312, 10423, 432, 46412, 3315, 30, 743, 833, 302, 68 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1524, 446, 442, 8554, 26337, 12167, 5465, 26, 99, 30, 399, 30, 7377, 30, 390, 27, 474, 8085, 266, 2487, 19422, 431, 26, 99, 30, 570, 30, 559, 89, 30, 11823, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8085, 266, 2487, 19422, 431, 6221, 26, 99, 30, 570, 30, 319, 68, 5360, 32171, 302, 711, 203, 1524, 16794, 48868, 6959, 31, 2050, 8085, 266, 2487, 31, 19422, 431, 26703, 299, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 4102, 57, 35786, 10365, 436, 322, 1932, 8085, 266, 2487, 31, 6586, 46412, 3315, 461, 7169, 31, 26337, 19715, 101, 432, 322, 36059, 8710, 32458, 44, 24618, 886, 29135, 438, 312, 15385, 3767, 667, 623, 20778, 1932, 40391, 32, 886, 5456, 1741, 4981, 328, 4102, 99, 572, 3733, 322, 36059, 8710, 461, 322, 29135, 23851, 432, 3026, 308, 7343, 322, 1932, 27, 884, 19829, 645, 5479, 432, 19052, 4321, 308, 18037, 543, 432, 322, 667, 461, 2819, 1932, 27640, 27, 821, 322, 3168, 4981, 432, 322, 26374, 32, 8085, 266, 2487, 31, 681, 308, 572, 57, 28, 2832, 3736, 99, 80, 36, 28, 33739, 35, 80, 36, 33, 37, 27, 572, 27, 461, 8554, 31, 26337, 827, 308, 572, 51, 28, 99, 80, 4893, 572, 27, 8710, 1976, 2504, 1604, 328, 9623, 1741, 6613, 32, 498, 1731, 1165, 44, 551, 32, 677, 38169, 644, 1804, 44, 399, 537, 8085, 266, 2487, 31, 19422, 431, 1542, 32, 971, 32, 3179, 557, 32, 16155, 23248, 751, 100, 32, 308, 36, 34, 35, 34, 27, 225, 38, 37, 30, 225, 41, 35, 40, 31, 41, 35, 43, 32, 1524, 446, 5247, 9410, 280, 570, 284, 46980, 280, 428, 5962, 2678, 44, 8085, 266, 2487, 26, 99, 30, 570, 30, 559, 5360, 32171, 302, 77, 34, 25456, 284, 10193, 280, 2065, 32, 5783, 81, 6228, 26, 99, 30, 9710, 47, 2356, 32, 2420, 27, 284, 13383, 280, 1605, 284, 436, 595, 328, 2155, 26, 35, 30, 2069, 26, 68, 5360, 32171, 302, 8531, 291, 415, 595, 904, 225, 36, 44, 324, 588, 559, 5360, 32171, 302, 77, 91, 79, 438, 600, 19715, 30, 559, 5360, 32171, 302, 77, 91, 31, 35, 79, 438, 312, 10423, 432, 46412, 3315, 324, 2678, 12595, 280, 617, 7649, 2518, 81, 99, 12595, 26, 68, 5360, 32171, 302, 77, 91, 614, 559, 5360, 32171, 302, 77, 91, 429, 225, 35, 614, 225, 37, 27, 324, 5247, 9410, 280, 617, 7649, 2518, 81, 51, 26, 68, 5360, 32171, 302, 77, 91, 614, 559, 5360, 32171, 302, 77, 91, 429, 225, 35, 614, 225, 37, 30, 5247, 9410, 27, 324, 46980, 32, 1689, 26, 5962, 2678, 30, 312, 47, 3804, 9410, 30, 7377, 47, 68, 5360, 32171, 302, 77, 91, 2786, 8554, 26337, 26, 99, 30, 312, 30, 7377, 490, 291, 813, 44, 324, 588, 559, 5360, 32171, 302, 77, 91, 79, 438, 312, 10423, 432, 46412, 3315, 30, 559, 5360, 32171, 302, 77, 91, 31, 35, 79, 438, 312, 7169, 31, 26337, 19715, 324, 2678, 12595, 280, 617, 7649, 2518, 81, 99, 12595, 26, 68, 5360, 32171, 302, 77, 91, 429, 225, 35, 614, 559, 5360, 32171, 302, 77, 91, 614, 225, 37, 27, 324, 5247, 9410, 280, 617, 7649, 2518, 81, 57, 26, 68, 5360, 32171, 302, 77, 91, 429, 225, 35, 614, 559, 5360, 32171, 302, 77, 91, 614, 225, 37, 30, 5247, 9410, 27, 324, 46980, 32, 1689, 26, 5962, 2678, 30, 570, 47, 3804, 9410, 30, 559, 89, 47, 68, 5360, 32171, 302, 77, 91, 2786, 8085, 266, 2487, 26, 99, 30, 570, 30, 559, 89, 490, 291, 588, 458, 17732, 372, 322, 4552, 291, 13383, 32, 1689, 26, 7711, 549, 308, 99, 333, 2678, 12595, 490, 291, 10193, 77, 99, 333, 2678, 12595, 79, 280, 3177, 284, 13383, 32, 1689, 26, 7711, 27, 284, 442, 2065, 32, 21930, 3767, 26, 99, 30, 13383, 30, 46980, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 23506, 431, 5708, 266, 2487, 6221, 26, 99, 30, 399, 30, 319, 32171, 302, 68, 5360, 711, 203, 1524, 16794, 48868, 6959, 31, 2050, 23506, 431, 31, 5708, 266, 2487, 26703, 299, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 4102, 51, 35786, 10365, 436, 322, 1932, 8554, 31, 26337, 31, 6586, 46412, 3315, 461, 7169, 31, 26337, 19715, 101, 432, 322, 36059, 8710, 32458, 44, 24618, 886, 29135, 438, 312, 15385, 3767, 667, 623, 20778, 1932, 40391, 32, 886, 5456, 1741, 4981, 328, 4102, 99, 572, 3733, 322, 36059, 8710, 461, 322, 29135, 23851, 432, 3026, 308, 7343, 322, 1932, 27, 884, 19829, 645, 5479, 432, 19052, 4321, 308, 18037, 543, 432, 322, 667, 461, 2819, 1932, 27640, 27, 821, 322, 3168, 4981, 432, 322, 26374, 32, 8085, 266, 2487, 31, 681, 308, 572, 57, 28, 2832, 3736, 99, 80, 36, 28, 33739, 35, 80, 36, 33, 37, 27, 572, 27, 461, 8554, 31, 26337, 827, 308, 572, 51, 28, 99, 80, 4893, 572, 27, 8710, 1976, 2504, 1604, 328, 9623, 1741, 6613, 32, 498, 1731, 1165, 44, 551, 32, 677, 38169, 644, 1804, 44, 399, 537, 8085, 266, 2487, 31, 19422, 431, 1542, 32, 971, 32, 3179, 557, 32, 16155, 23248, 751, 100, 32, 308, 36, 34, 35, 34, 27, 225, 38, 37, 30, 225, 41, 35, 40, 31, 41, 35, 43, 32, 1524, 446, 5247, 9410, 280, 399, 284, 46980, 280, 428, 5962, 2678, 44, 8554, 26337, 26, 99, 30, 399, 30, 743, 833, 302, 68, 5360, 77, 34, 25456, 284, 10193, 280, 2065, 32, 5783, 81, 6228, 26, 99, 30, 9710, 47, 2356, 32, 2420, 27, 284, 13383, 280, 1605, 284, 436, 595, 328, 2155, 26, 35, 30, 2069, 26, 32171, 302, 68, 5360, 8531, 291, 415, 595, 904, 225, 36, 44, 324, 588, 743, 833, 302, 68, 5360, 77, 91, 79, 438, 312, 10423, 432, 46412, 3315, 30, 743, 833, 302, 68 ]
[ 5360, 77, 91, 31, 35, 79, 438, 312, 7169, 31, 26337, 19715, 324, 2678, 12595, 280, 617, 7649, 2518, 81, 99, 12595, 26, 32171, 302, 68, 5360, 77, 91, 429, 225, 35, 614, 743, 833, 302, 68, 5360, 77, 91, 614, 225, 37, 27, 324, 5247, 9410, 280, 617, 7649, 2518, 81, 57, 26, 32171, 302, 68, 5360, 77, 91, 429, 225, 35, 614, 743, 833, 302, 68, 5360, 77, 91, 614, 225, 37, 30, 5247, 9410, 27, 324, 46980, 32, 1689, 26, 5962, 2678, 30, 570, 47, 3804, 9410, 30, 559, 89, 47, 32171, 302, 68, 5360, 77, 91, 2786, 8085, 266, 2487, 26, 99, 30, 570, 30, 559, 89, 490, 291, 813, 44, 324, 588, 743, 833, 302, 68, 5360, 77, 91, 79, 438, 600, 19715, 30, 743, 833, 302, 68, 5360, 77, 91, 31, 35, 79, 438, 312, 10423, 432, 46412, 3315, 324, 2678, 12595, 280, 617, 7649, 2518, 81, 99, 12595, 26, 32171, 302, 68, 5360, 77, 91, 614, 743, 833, 302, 68, 5360, 77, 91, 429, 225, 35, 614, 225, 37, 27, 324, 5247, 9410, 280, 617, 7649, 2518, 81, 51, 26, 32171, 302, 68, 5360, 77, 91, 614, 743, 833, 302, 68, 5360, 77, 91, 429, 225, 35, 614, 225, 37, 30, 5247, 9410, 27, 324, 46980, 32, 1689, 26, 5962, 2678, 30, 312, 47, 3804, 9410, 30, 7377, 47, 32171, 302, 68, 5360, 77, 91, 2786, 312, 319, 2678, 1115, 7377, 27, 291, 588, 458, 17732, 372, 322, 4552, 291, 13383, 32, 1689, 26, 7711, 549, 308, 99, 333, 2678, 12595, 490, 291, 10193, 77, 99, 333, 2678, 12595, 79, 280, 3177, 284, 13383, 32, 1689, 26, 7711, 27, 284, 442, 2065, 32, 21930, 3767, 26, 99, 30, 13383, 30, 46980, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 6146, 5708, 266, 2487, 19422, 431, 26, 99, 30, 10365, 30, 319, 1132, 30, 1115, 5321, 711, 203, 1524, 16794, 48868, 8074, 1191, 6959, 31, 2050, 8085, 266, 2487, 31, 19422, 431, 26703, 299, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 4102, 9410, 35786, 10365, 436, 322, 1932, 5573, 1604, 4209, 3256, 1132, 711, 203, 322, 20720, 4209, 432, 322, 36059, 8710, 44, 10423, 432, 46412, 3315, 308, 572, 33739, 572, 27, 461, 8742, 6301, 3395, 308, 572, 101, 572, 27, 436, 8085, 266, 2487, 461, 19715, 308, 572, 4893, 572, 27, 436, 7169, 31, 26337, 8710, 32, 5420, 11659, 4209, 44, 4102, 15990, 3093, 266, 2487, 35786, 2933, 415, 322, 1932, 8430, 438, 312, 8085, 266, 2487, 31, 681, 26703, 299, 308, 578, 438, 322, 1244, 27, 556, 3177, 415, 561, 438, 312, 7169, 31, 26337, 32458, 44, 24618, 886, 29135, 438, 312, 15385, 3767, 667, 623, 20778, 1932, 40391, 32, 886, 5456, 1741, 4981, 328, 4102, 99, 572, 3733, 322, 36059, 8710, 461, 322, 29135, 23851, 432, 3026, 308, 7343, 322, 1932, 27, 884, 19829, 645, 5479, 432, 19052, 4321, 308, 18037, 543, 432, 322, 667, 461, 2819, 1932, 27640, 27, 821, 322, 3168, 4981, 432, 322, 26374, 32, 8085, 266, 2487, 31, 681, 308, 572, 57, 28, 99, 44776, 37, 31, 101, 4586, 2832, 3736, 99, 80, 36, 28, 33739, 35, 80, 36, 33, 101, 27, 572, 27, 461, 8554, 31, 26337, 827, 308, 572, 51, 28, 99, 80, 4893, 572, 27, 8710, 1976, 2504, 1604, 328, 9623, 1741, 6613, 32, 886, 7153, 1451, 432, 8710, 438, 19829, 645, 322, 1451, 432, 39161, 4209, 3256, 1132, 547, 498, 1731, 1165, 44, 551, 32, 677, 38169, 644, 1804, 44, 399, 537, 8085, 266, 2487, 31, 19422, 431, 1542, 32, 971, 32, 3179, 557, 32, 16155, 23248, 751, 100, 32, 308, 36, 34, 35, 34, 27, 225, 38, 37, 30, 225, 41, 35, 40, 31, 41, 35, 43, 32, 1524, 446, 415, 10306, 32, 371, 463, 15990, 3093, 266, 2487, 370, 2933, 711, 291, 46980, 280, 428, 5962, 2678, 30, 399, 280, 10365, 44, 8627, 5708, 266, 2487, 26, 99, 30, 399, 30, 2181, 77, 34, 614, 2181, 77, 35, 25456, 291, 595, 280, 225, 36, 291, 3932, 266, 2487, 1978, 280, 3177, 284, 813, 44, 291, 46980, 280, 428, 5962, 2678, 30, 399, 280, 10365, 44, 8554, 26337, 26, 99, 30, 399, 30, 2181, 77, 34, 25456, 291, 595, 280, 225, 35, 291, 3932, 266, 2487, 1978, 280, 2933, 284, 10193, 280, 2065, 32, 5783, 81, 6228, 26, 99, 30, 9710, 47, 2356, 32, 2420, 27, 284, 13383, 280, 1605, 284, 2218, 595, 333, 2069, 26, 1132, 711, 291, 415, 3932, 266, 2487, 1978, 44, 324, 588, 2181, 77, 91, 79, 438, 312, 10423, 432, 46412, 3315, 30, 2181, 77, 91, 29, 35, 79, 438, 312, 8742, 6301, 3395, 30, 2181, 77, 91, 31, 35, 79, 438, 312, 7169, 31, 26337, 19715, 324, 2678, 12595, 280, 617, 7649, 2518, 81, 99, 12595, 26, 1132, 77, 91, 429, 225, 35, 614, 2181, 77, 91, 614, 2181, 77, 91, 474, 225, 35, 1130, 324, 10365, 280, 617, 7649, 2518, 81, 57, 26, 1132, 77, 91, 429, 225, 35, 614, 2181, 77, 91, 614, 2181, 77, 91, 474, 225, 35, 614, 10365, 27, 324, 46980, 32, 1689, 26, 5962, 2678, 30, 570, 47, 9410, 30, 559, 89, 47, 1132, 77, 91, 614, 309, 47, 1132, 77, 91, 474, 225, 35, 2786, 6146, 5708, 266, 2487, 26, 99, 30, 570, 30, 559, 89, 30, 309, 490, 324, 3932, 266, 2487, 1978, 280, 3177, 324, 595, 1454, 225, 36, 291, 813, 44, 324, 588, 2181, 77, 91, 79, 438, 600, 19715, 30, 2181, 77, 91, 31, 36, 79, 438, 312, 10423, 432, 46412, 3315, 30, 2181, 77, 91, 31, 35, 79, 438, 312, 8742, 6301, 3395, 324, 2678, 12595, 280, 617, 7649, 2518, 81, 99, 12595, 26, 1132, 77, 91, 614, 2181, 77, 91, 429, 225, 36, 614, 2181, 77, 91, 429, 225, 35, 1130, 324, 10365, 280, 617, 7649, 2518, 81, 51, 26, 1132, 77, 91, 614, 2181, 77, 91, 429, 225, 36, 614, 2181, 77, 91 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5360, 77, 91, 31, 35, 79, 438, 312, 7169, 31, 26337, 19715, 324, 2678, 12595, 280, 617, 7649, 2518, 81, 99, 12595, 26, 32171, 302, 68, 5360, 77, 91, 429, 225, 35, 614, 743, 833, 302, 68, 5360, 77, 91, 614, 225, 37, 27, 324, 5247, 9410, 280, 617, 7649, 2518, 81, 57, 26, 32171, 302, 68, 5360, 77, 91, 429, 225, 35, 614, 743, 833, 302, 68, 5360, 77, 91, 614, 225, 37, 30, 5247, 9410, 27, 324, 46980, 32, 1689, 26, 5962, 2678, 30, 570, 47, 3804, 9410, 30, 559, 89, 47, 32171, 302, 68, 5360, 77, 91, 2786, 8085, 266, 2487, 26, 99, 30, 570, 30, 559, 89, 490, 291, 813, 44, 324, 588, 743, 833, 302, 68, 5360, 77, 91, 79, 438, 600, 19715, 30, 743, 833, 302, 68, 5360, 77, 91, 31, 35, 79, 438, 312, 10423, 432, 46412, 3315, 324, 2678, 12595, 280, 617, 7649, 2518, 81, 99, 12595, 26, 32171, 302, 68, 5360, 77, 91, 614, 743, 833, 302, 68, 5360, 77, 91, 429, 225, 35, 614, 225, 37, 27, 324, 5247, 9410, 280, 617, 7649, 2518, 81, 51, 26, 32171, 302, 68, 5360, 77, 91, 614, 743, 833, 302, 68, 5360, 77, 91, 429, 225, 35, 614, 225, 37, 30, 5247, 9410, 27, 324, 46980, 32, 1689, 26, 5962, 2678, 30, 312, 47, 3804, 9410, 30, 7377, 47, 32171, 302, 68, 5360, 77, 91, 2786, 312, 319, 2678, 1115, 7377, 27, 291, 588, 458, 17732, 372, 322, 4552, 291, 13383, 32, 1689, 26, 7711, 549, 308, 99, 333, 2678, 12595, 490, 291, 10193, 77, 99, 333, 2678, 12595, 79, 280, 3177, 284, 13383, 32, 1689, 26, 7711, 27, 284, 442, 2065, 32, 21930, 3767, 26, 99, 30, 13383, 30, 46980, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 6146, 5708, 266, 2487, 19422, 431, 26, 99, 30, 10365, 30, 319, 1132, 30, 1115, 5321, 711, 203, 1524, 16794, 48868, 8074, 1191, 6959, 31, 2050, 8085, 266, 2487, 31, 19422, 431, 26703, 299, 31945, 44, 14761, 4102, 99, 35786, 16371, 2677, 4102, 9410, 35786, 10365, 436, 322, 1932, 5573, 1604, 4209, 3256, 1132, 711, 203, 322, 20720, 4209, 432, 322, 36059, 8710, 44, 10423, 432, 46412, 3315, 308, 572, 33739, 572, 27, 461, 8742, 6301, 3395, 308, 572, 101, 572, 27, 436, 8085, 266, 2487, 461, 19715, 308, 572, 4893, 572, 27, 436, 7169, 31, 26337, 8710, 32, 5420, 11659, 4209, 44, 4102, 15990, 3093, 266, 2487, 35786, 2933, 415, 322, 1932, 8430, 438, 312, 8085, 266, 2487, 31, 681, 26703, 299, 308, 578, 438, 322, 1244, 27, 556, 3177, 415, 561, 438, 312, 7169, 31, 26337, 32458, 44, 24618, 886, 29135, 438, 312, 15385, 3767, 667, 623, 20778, 1932, 40391, 32, 886, 5456, 1741, 4981, 328, 4102, 99, 572, 3733, 322, 36059, 8710, 461, 322, 29135, 23851, 432, 3026, 308, 7343, 322, 1932, 27, 884, 19829, 645, 5479, 432, 19052, 4321, 308, 18037, 543, 432, 322, 667, 461, 2819, 1932, 27640, 27, 821, 322, 3168, 4981, 432, 322, 26374, 32, 8085, 266, 2487, 31, 681, 308, 572, 57, 28, 99, 44776, 37, 31, 101, 4586, 2832, 3736, 99, 80, 36, 28, 33739, 35, 80, 36, 33, 101, 27, 572, 27, 461, 8554, 31, 26337, 827, 308, 572, 51, 28, 99, 80, 4893, 572, 27, 8710, 1976, 2504, 1604, 328, 9623, 1741, 6613, 32, 886, 7153, 1451, 432, 8710, 438, 19829, 645, 322, 1451, 432, 39161, 4209, 3256, 1132, 547, 498, 1731, 1165, 44, 551, 32, 677, 38169, 644, 1804, 44, 399, 537, 8085, 266, 2487, 31, 19422, 431, 1542, 32, 971, 32, 3179, 557, 32, 16155, 23248, 751, 100, 32, 308, 36, 34, 35, 34, 27, 225, 38, 37, 30, 225, 41, 35, 40, 31, 41, 35, 43, 32, 1524, 446, 415, 10306, 32, 371, 463, 15990, 3093, 266, 2487, 370, 2933, 711, 291, 46980, 280, 428, 5962, 2678, 30, 399, 280, 10365, 44, 8627, 5708, 266, 2487, 26, 99, 30, 399, 30, 2181, 77, 34, 614, 2181, 77, 35, 25456, 291, 595, 280, 225, 36, 291, 3932, 266, 2487, 1978, 280, 3177, 284, 813, 44, 291, 46980, 280, 428, 5962, 2678, 30, 399, 280, 10365, 44, 8554, 26337, 26, 99, 30, 399, 30, 2181, 77, 34, 25456, 291, 595, 280, 225, 35, 291, 3932, 266, 2487, 1978, 280, 2933, 284, 10193, 280, 2065, 32, 5783, 81, 6228, 26, 99, 30, 9710, 47, 2356, 32, 2420, 27, 284, 13383, 280, 1605, 284, 2218, 595, 333, 2069, 26, 1132, 711, 291, 415, 3932, 266, 2487, 1978, 44, 324, 588, 2181, 77, 91, 79, 438, 312, 10423, 432, 46412, 3315, 30, 2181, 77, 91, 29, 35, 79, 438, 312, 8742, 6301, 3395, 30, 2181, 77, 91, 31, 35, 79, 438, 312, 7169, 31, 26337, 19715, 324, 2678, 12595, 280, 617, 7649, 2518, 81, 99, 12595, 26, 1132, 77, 91, 429, 225, 35, 614, 2181, 77, 91, 614, 2181, 77, 91, 474, 225, 35, 1130, 324, 10365, 280, 617, 7649, 2518, 81, 57, 26, 1132, 77, 91, 429, 225, 35, 614, 2181, 77, 91, 614, 2181, 77, 91, 474, 225, 35, 614, 10365, 27, 324, 46980, 32, 1689, 26, 5962, 2678, 30, 570, 47, 9410, 30, 559, 89, 47, 1132, 77, 91, 614, 309, 47, 1132, 77, 91, 474, 225, 35, 2786, 6146, 5708, 266, 2487, 26, 99, 30, 570, 30, 559, 89, 30, 309, 490, 324, 3932, 266, 2487, 1978, 280, 3177, 324, 595, 1454, 225, 36, 291, 813, 44, 324, 588, 2181, 77, 91, 79, 438, 600, 19715, 30, 2181, 77, 91, 31, 36, 79, 438, 312, 10423, 432, 46412, 3315, 30, 2181, 77, 91, 31, 35, 79, 438, 312, 8742, 6301, 3395, 324, 2678, 12595, 280, 617, 7649, 2518, 81, 99, 12595, 26, 1132, 77, 91, 614, 2181, 77, 91, 429, 225, 36, 614, 2181, 77, 91, 429, 225, 35, 1130, 324, 10365, 280, 617, 7649, 2518, 81, 51, 26, 1132, 77, 91, 614, 2181, 77, 91, 429, 225, 36, 614, 2181, 77, 91 ]
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
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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
[ 319, 309, 1115, 225, 36, 474, 7377, 319, 309, 319, 273, 429, 225, 36, 474, 225, 36, 319, 309, 1115, 225, 36, 291, 475, 280, 7377, 319, 309, 1115, 225, 36, 319, 273, 474, 7377, 319, 309, 291, 540, 280, 2065, 32, 32071, 2009, 51, 30, 551, 30, 390, 30, 475, 1130, 291, 588, 1216, 313, 371, 81, 106, 12595, 44, 3003, 7377, 30, 309, 30, 273, 30, 540, 291, 442, 540, 77, 100, 848, 225, 34, 1674, 34, 79, 1115, 225, 34, 32, 39, 284, 622, 81, 52, 280, 9254, 390, 30, 816, 12595, 30, 309, 30, 273, 30, 17428, 44, 53, 319, 308, 106, 12595, 1115, 225, 36, 474, 309, 27, 517, 1833, 106, 12595, 1115, 225, 36, 474, 309, 27, 319, 308, 106, 12595, 1115, 225, 36, 474, 273, 27, 474, 225, 35, 27, 319, 816, 12595, 1115, 308, 35, 32, 34, 517, 17428, 27, 284, 816, 280, 2678, 319, 540, 34, 284, 816, 12595, 280, 2065, 32, 4543, 81, 325, 81, 2679, 26, 371, 81, 106, 12595, 3736, 35, 32, 34, 517, 17428, 30, 309, 30, 273, 490, 284, 399, 280, 622, 81, 52, 26, 53, 30, 816, 12595, 30, 309, 30, 273, 30, 17428, 27, 284, 442, 2065, 32, 21930, 3767, 26, 99, 30, 308, 106, 333, 816, 12595, 30, 816, 2377, 816, 12595, 471, 715, 308, 5962, 312, 44, 39776, 340, 55, 2947, 16345, 449, 1538, 1190, 26, 83, 30, 390, 30, 540, 34, 30, 309, 30, 273, 471, 656, 9254, 312, 44, 51, 319, 308, 83, 319, 540, 34, 27, 1115, 7197, 35, 32, 34, 517, 17428, 2610, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 3964, 26, 784, 30, 706, 30, 7898, 711, 291, 5881, 5197, 312, 7841, 645, 322, 706, 1300, 584, 8350, 291, 13510, 291, 706, 499, 5436, 324, 399, 706, 5436, 619, 16500, 810, 39882, 98, 32, 36002, 32, 3792, 584, 7898, 499, 11494, 324, 886, 1133, 7898, 372, 3964, 584, 3759, 291, 14761, 291, 706, 81, 6099, 499, 5436, 324, 529, 605, 82, 27665, 372, 529, 7568, 2541, 291, 5881, 291, 706, 81, 6099, 280, 5436, 346, 584, 436, 1202, 328, 706, 44, 324, 415, 7610, 1327, 25, 328, 1202, 44, 400, 4036, 1064, 1650, 280, 428, 6099, 26, 2521, 2177, 319, 706, 77, 678, 997, 29704, 1064, 588, 415, 996, 1159, 4609, 25285, 436, 458, 1202, 30, 8298, 1591, 324, 1650, 77, 34, 79, 280, 630, 32, 19050, 32, 21378, 26, 34, 30, 706, 77, 678, 997, 3229, 77, 34, 1130, 324, 1650, 77, 34, 79, 280, 11494, 26, 1055, 77, 34, 614, 1650, 77, 34, 79, 474, 225, 35, 27, 1064, 436, 273, 3534, 328, 630, 1114, 1003, 77, 678, 2786, 400, 1650, 77, 671, 449, 79, 280, 7898, 1064, 706, 81, 6099, 77, 678, 79, 280, 706, 77, 678, 1674, 7288, 26, 1055, 2177, 584, 442, 706, 81, 6099, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 10193, 26, 784, 30, 706, 711, 291, 5881, 10505, 7841, 1477, 10193, 584, 8350, 291, 13510, 291, 706, 499, 5436, 432, 2065, 32, 16771, 324, 2894, 16500, 810, 39882, 98, 32, 3792, 584, 1410, 684, 101, 291, 20921, 291, 1477, 499, 629, 2377, 225, 34, 324, 886, 1477, 1650, 432, 312, 3964, 7841, 291, 5881, 291, 7459, 280, 630, 32, 605, 81, 6932, 26, 605, 27, 584, 436, 1477, 328, 2155, 26, 34, 30, 7459, 429, 630, 32, 6932, 30, 630, 32, 13176, 711, 324, 6761, 1477, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4576, 26, 784, 30, 1202, 711, 291, 5881, 9903, 322, 636, 4576, 372, 312, 1202, 584, 8350, 291, 13510, 291, 1202, 499, 802, 584, 3759, 291, 14761, 291, 529, 426, 33, 678, 82, 415, 529, 426, 82, 438, 646, 529, 2521, 7839, 291, 5878, 30, 529, 678, 2541, 291, 5881, 291, 415, 630, 32, 426, 438, 1665, 44, 324, 442, 1202, 291, 442, 8930, 44, 101, 3188, 14379, 101, 16805, 1643, 26, 784, 32, 426, 30, 1202, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 3909, 26, 784, 30, 1600, 30, 6024, 30, 9710, 711, 291, 5881, 4329, 312, 1600, 619, 312, 8482, 623, 3191, 6024, 461, 827, 32, 584, 399, 529, 7929, 82, 432, 322, 2702, 6024, 461, 827, 1098, 526, 10416, 328, 458, 291, 1300, 1182, 529, 4151, 82, 5436, 32, 584, 8350, 291, 13510, 291, 1600, 499, 596, 324, 886, 636, 432, 322, 1600, 584, 6024, 499, 27182, 432, 529, 410, 82, 556, 529, 2521, 82, 324, 886, 6024, 432, 322, 1688, 2677, 32, 324, 1348, 1957, 646, 2305, 312, 8742, 436, 4609, 10107, 32, 1064, 529, 2521, 82, 1631, 526, 1654, 372, 14190, 2677, 31, 1322, 10107, 584, 9710, 499, 827, 324, 886, 706, 827, 432, 322, 1600, 584, 34904, 291, 20921, 291, 10901, 924, 324, 1670, 9710, 556, 6024, 884, 7659, 462, 631, 3191, 291, 5881, 291, 415, 646, 6937, 26, 12010, 30, 827, 711, 324, 3636, 10901, 924, 463, 12010, 19704, 2298, 526, 312, 827, 2473, 1643, 26, 12010, 490, 584, 415, 646, 308, 38003, 26, 3229, 30, 19209, 27, 461, 400, 1169, 2009, 101, 438, 1665, 556, 6937, 26, 101, 30, 629, 27, 436, 309, 328, 6024, 5259, 44, 324, 3636, 10901, 924, 463, 3229, 19704, 2298, 526, 600, 27182, 432, 18670, 2473, 1643, 26, 3229, 490, 584, 630, 32, 4151, 77, 784, 32, 3473, 26, 1495, 2177, 280, 12002, 26, 7288, 26, 3229, 471, 9710, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 3991, 26, 784, 30, 706, 711, 291, 5881, 8625, 600 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 319, 309, 1115, 225, 36, 474, 7377, 319, 309, 319, 273, 429, 225, 36, 474, 225, 36, 319, 309, 1115, 225, 36, 291, 475, 280, 7377, 319, 309, 1115, 225, 36, 319, 273, 474, 7377, 319, 309, 291, 540, 280, 2065, 32, 32071, 2009, 51, 30, 551, 30, 390, 30, 475, 1130, 291, 588, 1216, 313, 371, 81, 106, 12595, 44, 3003, 7377, 30, 309, 30, 273, 30, 540, 291, 442, 540, 77, 100, 848, 225, 34, 1674, 34, 79, 1115, 225, 34, 32, 39, 284, 622, 81, 52, 280, 9254, 390, 30, 816, 12595, 30, 309, 30, 273, 30, 17428, 44, 53, 319, 308, 106, 12595, 1115, 225, 36, 474, 309, 27, 517, 1833, 106, 12595, 1115, 225, 36, 474, 309, 27, 319, 308, 106, 12595, 1115, 225, 36, 474, 273, 27, 474, 225, 35, 27, 319, 816, 12595, 1115, 308, 35, 32, 34, 517, 17428, 27, 284, 816, 280, 2678, 319, 540, 34, 284, 816, 12595, 280, 2065, 32, 4543, 81, 325, 81, 2679, 26, 371, 81, 106, 12595, 3736, 35, 32, 34, 517, 17428, 30, 309, 30, 273, 490, 284, 399, 280, 622, 81, 52, 26, 53, 30, 816, 12595, 30, 309, 30, 273, 30, 17428, 27, 284, 442, 2065, 32, 21930, 3767, 26, 99, 30, 308, 106, 333, 816, 12595, 30, 816, 2377, 816, 12595, 471, 715, 308, 5962, 312, 44, 39776, 340, 55, 2947, 16345, 449, 1538, 1190, 26, 83, 30, 390, 30, 540, 34, 30, 309, 30, 273, 471, 656, 9254, 312, 44, 51, 319, 308, 83, 319, 540, 34, 27, 1115, 7197, 35, 32, 34, 517, 17428, 2610, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 3964, 26, 784, 30, 706, 30, 7898, 711, 291, 5881, 5197, 312, 7841, 645, 322, 706, 1300, 584, 8350, 291, 13510, 291, 706, 499, 5436, 324, 399, 706, 5436, 619, 16500, 810, 39882, 98, 32, 36002, 32, 3792, 584, 7898, 499, 11494, 324, 886, 1133, 7898, 372, 3964, 584, 3759, 291, 14761, 291, 706, 81, 6099, 499, 5436, 324, 529, 605, 82, 27665, 372, 529, 7568, 2541, 291, 5881, 291, 706, 81, 6099, 280, 5436, 346, 584, 436, 1202, 328, 706, 44, 324, 415, 7610, 1327, 25, 328, 1202, 44, 400, 4036, 1064, 1650, 280, 428, 6099, 26, 2521, 2177, 319, 706, 77, 678, 997, 29704, 1064, 588, 415, 996, 1159, 4609, 25285, 436, 458, 1202, 30, 8298, 1591, 324, 1650, 77, 34, 79, 280, 630, 32, 19050, 32, 21378, 26, 34, 30, 706, 77, 678, 997, 3229, 77, 34, 1130, 324, 1650, 77, 34, 79, 280, 11494, 26, 1055, 77, 34, 614, 1650, 77, 34, 79, 474, 225, 35, 27, 1064, 436, 273, 3534, 328, 630, 1114, 1003, 77, 678, 2786, 400, 1650, 77, 671, 449, 79, 280, 7898, 1064, 706, 81, 6099, 77, 678, 79, 280, 706, 77, 678, 1674, 7288, 26, 1055, 2177, 584, 442, 706, 81, 6099, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 10193, 26, 784, 30, 706, 711, 291, 5881, 10505, 7841, 1477, 10193, 584, 8350, 291, 13510, 291, 706, 499, 5436, 432, 2065, 32, 16771, 324, 2894, 16500, 810, 39882, 98, 32, 3792, 584, 1410, 684, 101, 291, 20921, 291, 1477, 499, 629, 2377, 225, 34, 324, 886, 1477, 1650, 432, 312, 3964, 7841, 291, 5881, 291, 7459, 280, 630, 32, 605, 81, 6932, 26, 605, 27, 584, 436, 1477, 328, 2155, 26, 34, 30, 7459, 429, 630, 32, 6932, 30, 630, 32, 13176, 711, 324, 6761, 1477, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4576, 26, 784, 30, 1202, 711, 291, 5881, 9903, 322, 636, 4576, 372, 312, 1202, 584, 8350, 291, 13510, 291, 1202, 499, 802, 584, 3759, 291, 14761, 291, 529, 426, 33, 678, 82, 415, 529, 426, 82, 438, 646, 529, 2521, 7839, 291, 5878, 30, 529, 678, 2541, 291, 5881, 291, 415, 630, 32, 426, 438, 1665, 44, 324, 442, 1202, 291, 442, 8930, 44, 101, 3188, 14379, 101, 16805, 1643, 26, 784, 32, 426, 30, 1202, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 3909, 26, 784, 30, 1600, 30, 6024, 30, 9710, 711, 291, 5881, 4329, 312, 1600, 619, 312, 8482, 623, 3191, 6024, 461, 827, 32, 584, 399, 529, 7929, 82, 432, 322, 2702, 6024, 461, 827, 1098, 526, 10416, 328, 458, 291, 1300, 1182, 529, 4151, 82, 5436, 32, 584, 8350, 291, 13510, 291, 1600, 499, 596, 324, 886, 636, 432, 322, 1600, 584, 6024, 499, 27182, 432, 529, 410, 82, 556, 529, 2521, 82, 324, 886, 6024, 432, 322, 1688, 2677, 32, 324, 1348, 1957, 646, 2305, 312, 8742, 436, 4609, 10107, 32, 1064, 529, 2521, 82, 1631, 526, 1654, 372, 14190, 2677, 31, 1322, 10107, 584, 9710, 499, 827, 324, 886, 706, 827, 432, 322, 1600, 584, 34904, 291, 20921, 291, 10901, 924, 324, 1670, 9710, 556, 6024, 884, 7659, 462, 631, 3191, 291, 5881, 291, 415, 646, 6937, 26, 12010, 30, 827, 711, 324, 3636, 10901, 924, 463, 12010, 19704, 2298, 526, 312, 827, 2473, 1643, 26, 12010, 490, 584, 415, 646, 308, 38003, 26, 3229, 30, 19209, 27, 461, 400, 1169, 2009, 101, 438, 1665, 556, 6937, 26, 101, 30, 629, 27, 436, 309, 328, 6024, 5259, 44, 324, 3636, 10901, 924, 463, 3229, 19704, 2298, 526, 600, 27182, 432, 18670, 2473, 1643, 26, 3229, 490, 584, 630, 32, 4151, 77, 784, 32, 3473, 26, 1495, 2177, 280, 12002, 26, 7288, 26, 3229, 471, 9710, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 3991, 26, 784, 30, 706, 711, 291, 5881, 8625, 600 ]
[ 1417, 432, 1688, 39290, 1991, 312, 3982, 9473, 291, 623, 10273, 24229, 4467, 32, 584, 8350, 291, 13510, 291, 706, 499, 1149, 432, 5436, 324, 5582, 5436, 101, 619, 16500, 810, 529, 31190, 98, 32, 2795, 32, 1761, 2247, 14989, 32, 3792, 82, 324, 556, 529, 31190, 98, 32, 3274, 32, 4228, 16653, 32, 3792, 2541, 584, 3759, 291, 14761, 291, 706, 81, 541, 499, 5436, 324, 3367, 4702, 432, 322, 1509, 5436, 101, 884, 4138, 318, 7947, 322, 225, 34, 6013, 30, 324, 461, 5036, 884, 316, 31, 19943, 810, 529, 3473, 2541, 291, 5881, 291, 706, 81, 541, 280, 5436, 346, 584, 588, 37054, 2288, 1169, 5036, 328, 706, 291, 436, 1202, 328, 739, 922, 13304, 2740, 605, 711, 324, 706, 81, 541, 77, 784, 32, 3473, 26, 678, 2177, 280, 2065, 32, 3034, 2009, 2356, 32, 26742, 26, 86, 77, 678, 1130, 436, 343, 328, 706, 614, 2270, 6013, 47, 34, 27, 291, 442, 706, 81, 541, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 1015, 26, 784, 30, 4134, 711, 291, 5881, 1103, 600, 4134, 372, 322, 358, 46548, 584, 8350, 291, 13510, 291, 4134, 499, 22148, 308, 2247, 14989, 556, 8560, 16653, 27, 324, 886, 537, 4134, 372, 1015, 291, 5881, 291, 415, 646, 6937, 26, 2989, 30, 22148, 711, 324, 3636, 10901, 924, 463, 7145, 2149, 2298, 526, 312, 4187, 14989, 330, 768, 330, 271, 8560, 16653, 2473, 1643, 26, 2989, 490, 291, 436, 1202, 328, 4134, 32, 4151, 44, 324, 630, 1114, 1003, 77, 678, 79, 280, 1605, 324, 588, 2688, 1015, 225, 35, 372, 322, 8742, 2442, 372, 3497, 436, 5254, 299, 324, 436, 273, 3534, 30, 5417, 328, 10703, 26, 2989, 32, 4151, 77, 678, 997, 3229, 30, 225, 35, 711, 400, 415, 5417, 438, 1665, 44, 528, 630, 1114, 1003, 77, 678, 997, 1689, 26, 671, 449, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 706, 81, 6932, 26, 784, 30, 706, 711, 291, 5881, 12375, 322, 2080, 706, 7459, 432, 312, 5436, 584, 8350, 291, 13510, 291, 706, 499, 5436, 324, 2894, 16500, 810, 39882, 98, 32, 3792, 584, 3759, 291, 14761, 291, 3104, 499, 629, 324, 886, 9340, 32399, 21179, 432, 312, 7094, 22587, 328, 706, 291, 5881, 291, 588, 7477, 1169, 322, 1133, 31, 6228, 10193, 432, 322, 706, 291, 29217, 280, 1605, 291, 436, 1202, 328, 630, 1114, 1003, 44, 324, 436, 5417, 328, 630, 1114, 1003, 32, 371, 26, 678, 30, 1605, 711, 400, 29217, 32, 1689, 26, 605, 77, 678, 997, 3229, 77, 2875, 1130, 584, 442, 1847, 26, 27959, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 22038, 26, 784, 30, 706, 711, 291, 5881, 24694, 312, 706, 9473, 2835, 372, 2819, 4942, 1133, 584, 8350, 291, 13510, 291, 706, 499, 5436, 324, 2894, 16500, 810, 39882, 98, 32, 3792, 584, 3759, 291, 14761, 291, 706, 81, 85, 13709, 499, 5436, 324, 25010, 529, 605, 82, 1273, 623, 1169, 1133, 31, 6228, 17478, 33658, 372, 322, 324, 9340, 4942, 7459, 291, 5881, 584, 7459, 280, 630, 32, 605, 81, 6932, 26, 605, 27, 291, 706, 81, 541, 280, 5436, 346, 291, 436, 1202, 328, 706, 44, 324, 5417, 280, 428, 6099, 26, 2521, 2177, 319, 706, 77, 678, 997, 29704, 324, 436, 273, 3534, 328, 630, 1114, 1003, 32, 371, 26, 678, 30, 1605, 711, 400, 5417, 77, 671, 449, 79, 280, 11494, 26, 6932, 27, 324, 706, 81, 541, 77, 678, 79, 280, 706, 77, 678, 1674, 7288, 26, 2875, 2177, 584, 442, 706, 81, 541, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 322, 38634, 15681, 42299, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 886, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 10449, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 310, 81, 289, 3246, 27, 400, 886, 38634, 15681, 42299, 291, 5881, 291, 310, 81, 9433, 280, 630, 32, 96, 81, 9433, 26, 371, 81, 6932, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 490, 584, 31760, 280, 2065, 32, 8663, 26, 289, 3246, 921, 42299, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 30, 9474, 310, 81, 19351, 47, 784, 32, 96, 81, 19351, 30, 9474, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 30, 9474, 310, 81, 289, 3246, 47, 784, 32, 96, 81, 289, 3246, 30, 9474, 296, 1449, 47, 784, 32, 88, 1449, 3427, 15315, 26, 2356, 32, 1808, 37, 36, 27, 584, 31760, 280, 2421, 81, 1322, 26, 17184, 30, 310, 81, 9433, 27, 584, 415, 630, 32, 751, 44, 324, 31760, 280, 38111, 81, 452, 81, 1199, 26, 17184, 30, 2488, 47, 2356, 32, 1449, 27, 584, 442, 5053, 10449, 950, 31760, 32, 70, 77, 784, 32, 2875, 6653, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 3502, 26, 784, 30, 7459, 711, 291, 5881, 2766, 4026, 14695, 32, 584, 1348, 3217, 600, 11188, 623, 312, 3982, 22587, 291, 4026, 39675, 432, 1169, 31, 6158, 307, 32, 584, 8350, 291, 13510, 291, 7459, 499, 1451, 848, 34, 324, 16785, 432, 322, 4562, 584, 3759, 291, 14761, 291, 23921, 499, 594, 1462, 32, 7942, 324, 886, 3502, 11188, 291, 5881, 291, 23921, 280, 2599, 26, 2863, 14989, 30, 630, 547, 2951, 26, 6932, 27, 584, 23921, 32, 1689, 26, 1003, 47, 34, 30, 7459, 47, 6932, 30, 24462, 47, 34, 30, 4511, 786 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1417, 432, 1688, 39290, 1991, 312, 3982, 9473, 291, 623, 10273, 24229, 4467, 32, 584, 8350, 291, 13510, 291, 706, 499, 1149, 432, 5436, 324, 5582, 5436, 101, 619, 16500, 810, 529, 31190, 98, 32, 2795, 32, 1761, 2247, 14989, 32, 3792, 82, 324, 556, 529, 31190, 98, 32, 3274, 32, 4228, 16653, 32, 3792, 2541, 584, 3759, 291, 14761, 291, 706, 81, 541, 499, 5436, 324, 3367, 4702, 432, 322, 1509, 5436, 101, 884, 4138, 318, 7947, 322, 225, 34, 6013, 30, 324, 461, 5036, 884, 316, 31, 19943, 810, 529, 3473, 2541, 291, 5881, 291, 706, 81, 541, 280, 5436, 346, 584, 588, 37054, 2288, 1169, 5036, 328, 706, 291, 436, 1202, 328, 739, 922, 13304, 2740, 605, 711, 324, 706, 81, 541, 77, 784, 32, 3473, 26, 678, 2177, 280, 2065, 32, 3034, 2009, 2356, 32, 26742, 26, 86, 77, 678, 1130, 436, 343, 328, 706, 614, 2270, 6013, 47, 34, 27, 291, 442, 706, 81, 541, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 1015, 26, 784, 30, 4134, 711, 291, 5881, 1103, 600, 4134, 372, 322, 358, 46548, 584, 8350, 291, 13510, 291, 4134, 499, 22148, 308, 2247, 14989, 556, 8560, 16653, 27, 324, 886, 537, 4134, 372, 1015, 291, 5881, 291, 415, 646, 6937, 26, 2989, 30, 22148, 711, 324, 3636, 10901, 924, 463, 7145, 2149, 2298, 526, 312, 4187, 14989, 330, 768, 330, 271, 8560, 16653, 2473, 1643, 26, 2989, 490, 291, 436, 1202, 328, 4134, 32, 4151, 44, 324, 630, 1114, 1003, 77, 678, 79, 280, 1605, 324, 588, 2688, 1015, 225, 35, 372, 322, 8742, 2442, 372, 3497, 436, 5254, 299, 324, 436, 273, 3534, 30, 5417, 328, 10703, 26, 2989, 32, 4151, 77, 678, 997, 3229, 30, 225, 35, 711, 400, 415, 5417, 438, 1665, 44, 528, 630, 1114, 1003, 77, 678, 997, 1689, 26, 671, 449, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 706, 81, 6932, 26, 784, 30, 706, 711, 291, 5881, 12375, 322, 2080, 706, 7459, 432, 312, 5436, 584, 8350, 291, 13510, 291, 706, 499, 5436, 324, 2894, 16500, 810, 39882, 98, 32, 3792, 584, 3759, 291, 14761, 291, 3104, 499, 629, 324, 886, 9340, 32399, 21179, 432, 312, 7094, 22587, 328, 706, 291, 5881, 291, 588, 7477, 1169, 322, 1133, 31, 6228, 10193, 432, 322, 706, 291, 29217, 280, 1605, 291, 436, 1202, 328, 630, 1114, 1003, 44, 324, 436, 5417, 328, 630, 1114, 1003, 32, 371, 26, 678, 30, 1605, 711, 400, 29217, 32, 1689, 26, 605, 77, 678, 997, 3229, 77, 2875, 1130, 584, 442, 1847, 26, 27959, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 22038, 26, 784, 30, 706, 711, 291, 5881, 24694, 312, 706, 9473, 2835, 372, 2819, 4942, 1133, 584, 8350, 291, 13510, 291, 706, 499, 5436, 324, 2894, 16500, 810, 39882, 98, 32, 3792, 584, 3759, 291, 14761, 291, 706, 81, 85, 13709, 499, 5436, 324, 25010, 529, 605, 82, 1273, 623, 1169, 1133, 31, 6228, 17478, 33658, 372, 322, 324, 9340, 4942, 7459, 291, 5881, 584, 7459, 280, 630, 32, 605, 81, 6932, 26, 605, 27, 291, 706, 81, 541, 280, 5436, 346, 291, 436, 1202, 328, 706, 44, 324, 5417, 280, 428, 6099, 26, 2521, 2177, 319, 706, 77, 678, 997, 29704, 324, 436, 273, 3534, 328, 630, 1114, 1003, 32, 371, 26, 678, 30, 1605, 711, 400, 5417, 77, 671, 449, 79, 280, 11494, 26, 6932, 27, 324, 706, 81, 541, 77, 678, 79, 280, 706, 77, 678, 1674, 7288, 26, 2875, 2177, 584, 442, 706, 81, 541, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 322, 38634, 15681, 42299, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 886, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 10449, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 310, 81, 289, 3246, 27, 400, 886, 38634, 15681, 42299, 291, 5881, 291, 310, 81, 9433, 280, 630, 32, 96, 81, 9433, 26, 371, 81, 6932, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 490, 584, 31760, 280, 2065, 32, 8663, 26, 289, 3246, 921, 42299, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 30, 9474, 310, 81, 19351, 47, 784, 32, 96, 81, 19351, 30, 9474, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 30, 9474, 310, 81, 289, 3246, 47, 784, 32, 96, 81, 289, 3246, 30, 9474, 296, 1449, 47, 784, 32, 88, 1449, 3427, 15315, 26, 2356, 32, 1808, 37, 36, 27, 584, 31760, 280, 2421, 81, 1322, 26, 17184, 30, 310, 81, 9433, 27, 584, 415, 630, 32, 751, 44, 324, 31760, 280, 38111, 81, 452, 81, 1199, 26, 17184, 30, 2488, 47, 2356, 32, 1449, 27, 584, 442, 5053, 10449, 950, 31760, 32, 70, 77, 784, 32, 2875, 6653, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 3502, 26, 784, 30, 7459, 711, 291, 5881, 2766, 4026, 14695, 32, 584, 1348, 3217, 600, 11188, 623, 312, 3982, 22587, 291, 4026, 39675, 432, 1169, 31, 6158, 307, 32, 584, 8350, 291, 13510, 291, 7459, 499, 1451, 848, 34, 324, 16785, 432, 322, 4562, 584, 3759, 291, 14761, 291, 23921, 499, 594, 1462, 32, 7942, 324, 886, 3502, 11188, 291, 5881, 291, 23921, 280, 2599, 26, 2863, 14989, 30, 630, 547, 2951, 26, 6932, 27, 584, 23921, 32, 1689, 26, 1003, 47, 34, 30, 7459, 47, 6932, 30, 24462, 47, 34, 30, 4511, 786 ]
[ 47, 2356, 32, 9880, 26, 784, 32, 11694, 30, 9710, 47, 2356, 32, 1808, 37, 36, 490, 291, 442, 23921, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 4330, 26, 784, 30, 23921, 30, 7459, 711, 291, 5881, 9903, 322, 4026, 17488, 32, 584, 8350, 291, 13510, 291, 23921, 499, 594, 1462, 32, 7942, 324, 886, 1509, 11188, 584, 7459, 499, 1451, 848, 225, 34, 324, 886, 7459, 432, 322, 4562, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 2402, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 11694, 21713, 584, 34904, 291, 20921, 291, 2398, 924, 324, 1670, 322, 1509, 8742, 1957, 646, 2530, 291, 5881, 291, 4950, 2078, 280, 23921, 32, 452, 81, 7568, 81, 2810, 346, 291, 4026, 280, 2065, 32, 26742, 26, 2810, 77, 34, 614, 9710, 47, 784, 32, 12010, 27, 291, 415, 2069, 26, 2402, 27, 863, 630, 32, 11694, 44, 324, 3636, 2398, 924, 463, 2402, 8742, 1371, 44, 34, 1748, 330, 1014, 330, 6901, 630, 32, 11694, 1371, 44, 35, 1748, 25, 1014, 638, 1643, 26, 1657, 26, 2402, 471, 630, 32, 11694, 490, 584, 442, 5053, 2402, 950, 4026, 111, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 19385, 26, 784, 30, 4026, 30, 7459, 47, 2521, 711, 291, 5881, 23173, 4026, 26612, 9592, 584, 23921, 280, 594, 1462, 32, 7942, 26, 2011, 47, 784, 32, 2011, 30, 7459, 47, 6932, 27, 584, 415, 7459, 438, 1665, 44, 324, 7459, 280, 225, 34, 291, 23921, 32, 1689, 26, 1003, 47, 34, 30, 7459, 47, 6932, 30, 786, 47, 2402, 27, 584, 442, 23921, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 3502, 26, 784, 30, 7459, 711, 291, 5881, 2766, 2266, 14695, 32, 584, 29799, 312, 3982, 22587, 623, 600, 3502, 786, 308, 2521, 547, 584, 8350, 291, 13510, 291, 7459, 499, 1451, 848, 225, 34, 324, 886, 7459, 432, 322, 11188, 291, 5881, 291, 23921, 280, 2599, 26, 7183, 2168, 14989, 30, 630, 547, 2951, 26, 6932, 27, 291, 23921, 32, 1689, 26, 1003, 47, 34, 30, 7459, 47, 6932, 30, 786, 47, 2521, 27, 291, 442, 23921, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 4330, 26, 784, 30, 23921, 30, 7459, 711, 291, 5881, 4859, 600, 11188, 372, 7094, 2266, 7328, 32, 584, 8350, 291, 13510, 291, 23921, 499, 594, 1462, 32, 7942, 324, 886, 11188, 372, 4483, 584, 7459, 499, 1451, 848, 225, 34, 324, 886, 7459, 432, 322, 4562, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 3963, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 30, 310, 81, 5919, 27, 400, 399, 1133, 31, 45150, 5298, 7328, 432, 322, 6492, 291, 5881, 291, 26374, 30, 2078, 280, 23921, 32, 452, 81, 7568, 81, 2810, 346, 584, 588, 14644, 1380, 1169, 26374, 646, 328, 322, 15571, 291, 5911, 280, 1605, 291, 436, 354, 328, 2078, 44, 324, 415, 354, 328, 630, 1114, 4820, 44, 400, 5911, 32, 8233, 26, 784, 32, 13023, 32, 3792, 21145, 104, 46600, 324, 813, 44, 400, 5911, 32, 8233, 26, 784, 32, 13023, 32, 3792, 2009, 1178, 5259, 584, 5911, 280, 2065, 32, 26742, 26, 3963, 27, 291, 1760, 280, 630, 32, 4434, 81, 35158, 26, 6932, 30, 26374, 30, 5911, 27, 584, 442, 5053, 3963, 950, 1760, 111, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 4330, 26, 784, 30, 23921, 30, 7459, 711, 291, 5881, 4859, 600, 11188, 372, 907, 2266, 7328, 32, 584, 8350, 291, 13510, 291, 23921, 499, 594, 1462, 32, 7942, 324, 886, 11188, 372, 4483, 584, 7459, 499, 1451, 848, 225, 34, 324, 886, 7459, 432, 322, 4562, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 3963, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 5919, 21713, 400, 399, 907, 5298, 7328, 432, 322, 6492, 291, 5881, 291, 26374, 280, 2065, 32, 26742, 21145, 34, 30, 225, 35, 13138, 291, 2078, 280, 1149, 2009, 12133, 32, 853, 436, 15337, 328, 23921, 1130, 291, 26374, 280, 2065, 32, 8336, 26, 35158, 30, 428, 1657, 26, 2810, 471, 225, 35, 1130, 584, 588, 14644, 1380, 1169, 26374, 646, 328, 322, 15571, 291, 5911, 280, 428, 104, 436, 354, 328, 2078, 415, 354, 328, 630, 1114, 4820, 79, 291, 415, 2069, 26, 3963, 711, 324, 1760, 280, 630, 32, 13023, 32, 3792, 2009, 3963, 8492, 15315, 26, 2356, 32, 2420, 547, 1449, 26, 5082, 47, 34, 27, 291, 813, 44, 324, 1760, 280, 2065, 32, 9880, 26, 1657, 26, 784, 1114, 4820, 471, 9710, 47, 2356, 32, 2420, 27, 584, 442, 5053, 3963, 950, 1760, 111, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 19385, 26, 784, 30, 11830, 30, 7459, 47, 2521, 711, 291, 5881, 23173, 907, 2604, 17488, 9592, 584, 23921, 280, 594, 1462, 32, 7942, 26, 2011, 47, 784, 32, 2011, 30, 7459, 47, 6932, 27, 584, 415, 2065, 32, 297, 4543, 2067, 26, 12596, 711, 324, 14098, 280, 308, 12596, 2377, 225, 34, 32, 39, 27, 291, 813, 44, 324, 14098, 280, 11830, 584, 436, 47954, 328, 630, 32, 13023, 32, 18139, 81, 3792, 26, 2356, 32, 269, 27977, 81, 36, 86, 26, 38309, 29856, 34, 2786, 324, 27150, 280, 2065, 32, 6849, 38094, 26, 784, 32, 13023, 32, 3792, 26, 2356, 32, 269, 27977, 81, 36, 86, 26, 13125, 2610, 324, 23921, 32, 1689, 26, 1003, 47 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 47, 2356, 32, 9880, 26, 784, 32, 11694, 30, 9710, 47, 2356, 32, 1808, 37, 36, 490, 291, 442, 23921, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 4330, 26, 784, 30, 23921, 30, 7459, 711, 291, 5881, 9903, 322, 4026, 17488, 32, 584, 8350, 291, 13510, 291, 23921, 499, 594, 1462, 32, 7942, 324, 886, 1509, 11188, 584, 7459, 499, 1451, 848, 225, 34, 324, 886, 7459, 432, 322, 4562, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 2402, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 11694, 21713, 584, 34904, 291, 20921, 291, 2398, 924, 324, 1670, 322, 1509, 8742, 1957, 646, 2530, 291, 5881, 291, 4950, 2078, 280, 23921, 32, 452, 81, 7568, 81, 2810, 346, 291, 4026, 280, 2065, 32, 26742, 26, 2810, 77, 34, 614, 9710, 47, 784, 32, 12010, 27, 291, 415, 2069, 26, 2402, 27, 863, 630, 32, 11694, 44, 324, 3636, 2398, 924, 463, 2402, 8742, 1371, 44, 34, 1748, 330, 1014, 330, 6901, 630, 32, 11694, 1371, 44, 35, 1748, 25, 1014, 638, 1643, 26, 1657, 26, 2402, 471, 630, 32, 11694, 490, 584, 442, 5053, 2402, 950, 4026, 111, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 19385, 26, 784, 30, 4026, 30, 7459, 47, 2521, 711, 291, 5881, 23173, 4026, 26612, 9592, 584, 23921, 280, 594, 1462, 32, 7942, 26, 2011, 47, 784, 32, 2011, 30, 7459, 47, 6932, 27, 584, 415, 7459, 438, 1665, 44, 324, 7459, 280, 225, 34, 291, 23921, 32, 1689, 26, 1003, 47, 34, 30, 7459, 47, 6932, 30, 786, 47, 2402, 27, 584, 442, 23921, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 3502, 26, 784, 30, 7459, 711, 291, 5881, 2766, 2266, 14695, 32, 584, 29799, 312, 3982, 22587, 623, 600, 3502, 786, 308, 2521, 547, 584, 8350, 291, 13510, 291, 7459, 499, 1451, 848, 225, 34, 324, 886, 7459, 432, 322, 11188, 291, 5881, 291, 23921, 280, 2599, 26, 7183, 2168, 14989, 30, 630, 547, 2951, 26, 6932, 27, 291, 23921, 32, 1689, 26, 1003, 47, 34, 30, 7459, 47, 6932, 30, 786, 47, 2521, 27, 291, 442, 23921, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 4330, 26, 784, 30, 23921, 30, 7459, 711, 291, 5881, 4859, 600, 11188, 372, 7094, 2266, 7328, 32, 584, 8350, 291, 13510, 291, 23921, 499, 594, 1462, 32, 7942, 324, 886, 11188, 372, 4483, 584, 7459, 499, 1451, 848, 225, 34, 324, 886, 7459, 432, 322, 4562, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 3963, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 30, 310, 81, 5919, 27, 400, 399, 1133, 31, 45150, 5298, 7328, 432, 322, 6492, 291, 5881, 291, 26374, 30, 2078, 280, 23921, 32, 452, 81, 7568, 81, 2810, 346, 584, 588, 14644, 1380, 1169, 26374, 646, 328, 322, 15571, 291, 5911, 280, 1605, 291, 436, 354, 328, 2078, 44, 324, 415, 354, 328, 630, 1114, 4820, 44, 400, 5911, 32, 8233, 26, 784, 32, 13023, 32, 3792, 21145, 104, 46600, 324, 813, 44, 400, 5911, 32, 8233, 26, 784, 32, 13023, 32, 3792, 2009, 1178, 5259, 584, 5911, 280, 2065, 32, 26742, 26, 3963, 27, 291, 1760, 280, 630, 32, 4434, 81, 35158, 26, 6932, 30, 26374, 30, 5911, 27, 584, 442, 5053, 3963, 950, 1760, 111, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 4330, 26, 784, 30, 23921, 30, 7459, 711, 291, 5881, 4859, 600, 11188, 372, 907, 2266, 7328, 32, 584, 8350, 291, 13510, 291, 23921, 499, 594, 1462, 32, 7942, 324, 886, 11188, 372, 4483, 584, 7459, 499, 1451, 848, 225, 34, 324, 886, 7459, 432, 322, 4562, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 3963, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 5919, 21713, 400, 399, 907, 5298, 7328, 432, 322, 6492, 291, 5881, 291, 26374, 280, 2065, 32, 26742, 21145, 34, 30, 225, 35, 13138, 291, 2078, 280, 1149, 2009, 12133, 32, 853, 436, 15337, 328, 23921, 1130, 291, 26374, 280, 2065, 32, 8336, 26, 35158, 30, 428, 1657, 26, 2810, 471, 225, 35, 1130, 584, 588, 14644, 1380, 1169, 26374, 646, 328, 322, 15571, 291, 5911, 280, 428, 104, 436, 354, 328, 2078, 415, 354, 328, 630, 1114, 4820, 79, 291, 415, 2069, 26, 3963, 711, 324, 1760, 280, 630, 32, 13023, 32, 3792, 2009, 3963, 8492, 15315, 26, 2356, 32, 2420, 547, 1449, 26, 5082, 47, 34, 27, 291, 813, 44, 324, 1760, 280, 2065, 32, 9880, 26, 1657, 26, 784, 1114, 4820, 471, 9710, 47, 2356, 32, 2420, 27, 584, 442, 5053, 3963, 950, 1760, 111, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 19385, 26, 784, 30, 11830, 30, 7459, 47, 2521, 711, 291, 5881, 23173, 907, 2604, 17488, 9592, 584, 23921, 280, 594, 1462, 32, 7942, 26, 2011, 47, 784, 32, 2011, 30, 7459, 47, 6932, 27, 584, 415, 2065, 32, 297, 4543, 2067, 26, 12596, 711, 324, 14098, 280, 308, 12596, 2377, 225, 34, 32, 39, 27, 291, 813, 44, 324, 14098, 280, 11830, 584, 436, 47954, 328, 630, 32, 13023, 32, 18139, 81, 3792, 26, 2356, 32, 269, 27977, 81, 36, 86, 26, 38309, 29856, 34, 2786, 324, 27150, 280, 2065, 32, 6849, 38094, 26, 784, 32, 13023, 32, 3792, 26, 2356, 32, 269, 27977, 81, 36, 86, 26, 13125, 2610, 324, 23921, 32, 1689, 26, 1003, 47 ]
[ 34, 30, 5556, 7459, 47, 6932, 30, 5556, 786, 47, 13125, 30, 5556, 24462, 47, 12596, 77, 3843, 1130, 291, 442, 23921, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 322, 1133, 2747, 7328, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 13403, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 9535, 785, 280, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 225, 36, 27, 324, 706, 710, 11148, 785, 280, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 225, 36, 27, 2110, 29457, 461, 7976, 1133, 39161, 931, 31662, 32, 291, 5881, 584, 7459, 280, 622, 81, 6932, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 27, 291, 310, 81, 9433, 280, 630, 32, 96, 81, 9433, 26, 6932, 27, 584, 6491, 280, 2065, 32, 9880, 1162, 96, 81, 9433, 30, 225, 36, 471, 9710, 47, 2356, 32, 1808, 37, 36, 27, 291, 6491, 6894, 225, 34, 79, 280, 2065, 32, 4952, 26, 2356, 32, 1295, 319, 2065, 32, 24356, 26, 34, 30, 225, 35, 30, 1929, 47, 96, 81, 9433, 490, 291, 6491, 6894, 225, 35, 79, 280, 2065, 32, 7102, 26, 2356, 32, 1295, 319, 2065, 32, 24356, 26, 34, 30, 225, 35, 30, 1929, 47, 96, 81, 9433, 490, 584, 7976, 280, 6491, 319, 2065, 32, 8663, 26, 6932, 27, 584, 442, 5053, 9535, 950, 6491, 77, 784, 32, 2875, 614, 400, 330, 11148, 950, 7976, 77, 784, 32, 2875, 6653, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 1015, 26, 784, 30, 4134, 711, 291, 5881, 1103, 600, 4212, 372, 458, 39882, 32, 584, 8350, 291, 13510, 291, 4134, 499, 3772, 2247, 14989, 30, 8560, 16653, 324, 886, 4212, 372, 1015, 584, 34904, 291, 20921, 291, 10901, 924, 324, 415, 529, 520, 82, 438, 646, 432, 312, 3809, 827, 291, 5881, 291, 415, 646, 6937, 26, 2989, 30, 308, 1761, 2247, 14989, 30, 8560, 16653, 8531, 324, 3636, 10901, 924, 463, 2989, 19704, 2298, 526, 1591, 432, 330, 768, 15584, 1761, 2247, 14989, 30, 8560, 16653, 9905, 768, 638, 1643, 26, 2989, 490, 584, 415, 4134, 32, 426, 328, 630, 32, 520, 1110, 44, 324, 3636, 10901, 924, 463, 18017, 4134, 636, 14098, 44, 330, 768, 17246, 2473, 1643, 26, 2989, 490, 584, 2599, 26, 36002, 30, 630, 547, 669, 26, 2989, 27, 291, 630, 32, 520, 1110, 77, 2989, 32, 426, 79, 280, 4134, 291, 630, 32, 4156, 32, 1689, 26, 2989, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 26, 784, 30, 9025, 81, 88, 47, 2521, 30, 594, 404, 47, 2521, 30, 533, 47, 2521, 30, 17295, 47, 2521, 30, 22038, 47, 2700, 711, 291, 5881, 9903, 322, 34816, 372, 600, 9025, 803, 30, 461, 24480, 971, 40226, 1300, 32, 584, 8350, 291, 13510, 291, 9025, 81, 88, 499, 596, 324, 5380, 372, 9025, 803, 584, 594, 404, 499, 5302, 30, 529, 92, 1462, 32, 60, 40226, 1801, 596, 556, 803, 31, 6228, 324, 5648, 971, 40226, 1300, 33, 983, 372, 971, 40226, 803, 33, 1676, 803, 9866, 32, 1064, 1670, 3943, 30, 458, 1098, 2355, 706, 436, 2899, 4522, 483, 32, 584, 533, 499, 2065, 32, 16771, 291, 17295, 499, 1451, 848, 225, 34, 324, 1670, 3943, 30, 26391, 7029, 544, 600, 4905, 9025, 3112, 529, 107, 82, 821, 324, 20598, 7692, 529, 6858, 82, 9283, 2784, 2454, 645, 529, 7365, 81, 88, 2541, 584, 22038, 499, 1560, 324, 1670, 529, 1815, 1801, 1615, 706, 884, 281, 13709, 372, 312, 4942, 1133, 1650, 10160, 1169, 324, 3829, 32, 225, 12779, 30, 706, 1631, 1159, 3449, 1133, 1447, 10704, 32, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 2398, 9473, 6621, 322, 21634, 9025, 308, 363, 14695, 27, 584, 34904, 291, 20921, 291, 10901, 924, 324, 4593, 6225, 1591, 432, 529, 7365, 81, 88, 82, 556, 20425, 107, 30, 17295, 7601, 2298, 526, 3943, 32, 584, 5881, 584, 415, 533, 438, 1665, 44, 324, 415, 9025, 81, 88, 438, 1665, 44, 400, 3636, 10901, 924, 463, 1076, 6225, 1591, 432, 529, 107, 82, 556, 529, 7365, 81, 88, 82, 330, 9474, 330, 12172, 526, 3943, 683, 1064, 588, 6830, 322, 9025, 324, 533, 30, 17295, 280, 5034, 290, 2496, 32, 944, 26, 7365, 81, 88, 30, 17295, 47, 6858, 30, 25929, 47, 1815, 27, 584, 415, 17295, 438, 1665, 44, 324, 3636, 10901, 924, 463, 2797, 9025, 438, 3943, 619, 529, 107, 1801, 844, 2298, 330, 768, 330, 38484, 322, 20598, 7692, 619, 17295, 47169, 584, 415, 594, 404, 438, 1665, 44, 324, 594, 404, 280, 594, 1462, 32, 60, 40226, 346, 324, 594, 404, 32, 761, 81, 4519, 32, 6932, 280, 5034, 290, 2496, 32, 371, 81, 6932, 26, 107, 47, 107, 30, 17295, 47, 6858, 27, 584, 588, 6830, 322, 594, 1462, 291, 415, 646, 6937, 26, 20813, 30, 594, 1462, 32, 60, 40226, 711, 324, 594, 404, 280, 594, 1462, 32, 944, 26, 20813, 27, 584, 706, 280, 5436, 346, 584, 436, 4134, 328, 630, 32, 4156, 44, 324, 415, 6937, 26, 2989, 30, 3772, 2247, 14989, 711, 400, 706, 32, 1877, 26, 2989, 32, 3792, 26, 20813, 490, 324, 4348, 6937, 26, 2989, 30, 8560, 16653, 711, 400, 706, 32, 1877, 26, 2989, 32, 3792, 26, 107, 30, 17295, 490, 291, 415, 22038, 44, 324, 706, 280, 630, 32, 16126, 26, 605, 27, 291, 442, 706, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 21404, 26, 784, 30, 310, 81, 7088, 30, 7459, 30, 3995, 81, 1293, 47, 2521 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 34, 30, 5556, 7459, 47, 6932, 30, 5556, 786, 47, 13125, 30, 5556, 24462, 47, 12596, 77, 3843, 1130, 291, 442, 23921, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 322, 1133, 2747, 7328, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 13403, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 9535, 785, 280, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 225, 36, 27, 324, 706, 710, 11148, 785, 280, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 225, 36, 27, 2110, 29457, 461, 7976, 1133, 39161, 931, 31662, 32, 291, 5881, 584, 7459, 280, 622, 81, 6932, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 27, 291, 310, 81, 9433, 280, 630, 32, 96, 81, 9433, 26, 6932, 27, 584, 6491, 280, 2065, 32, 9880, 1162, 96, 81, 9433, 30, 225, 36, 471, 9710, 47, 2356, 32, 1808, 37, 36, 27, 291, 6491, 6894, 225, 34, 79, 280, 2065, 32, 4952, 26, 2356, 32, 1295, 319, 2065, 32, 24356, 26, 34, 30, 225, 35, 30, 1929, 47, 96, 81, 9433, 490, 291, 6491, 6894, 225, 35, 79, 280, 2065, 32, 7102, 26, 2356, 32, 1295, 319, 2065, 32, 24356, 26, 34, 30, 225, 35, 30, 1929, 47, 96, 81, 9433, 490, 584, 7976, 280, 6491, 319, 2065, 32, 8663, 26, 6932, 27, 584, 442, 5053, 9535, 950, 6491, 77, 784, 32, 2875, 614, 400, 330, 11148, 950, 7976, 77, 784, 32, 2875, 6653, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 1015, 26, 784, 30, 4134, 711, 291, 5881, 1103, 600, 4212, 372, 458, 39882, 32, 584, 8350, 291, 13510, 291, 4134, 499, 3772, 2247, 14989, 30, 8560, 16653, 324, 886, 4212, 372, 1015, 584, 34904, 291, 20921, 291, 10901, 924, 324, 415, 529, 520, 82, 438, 646, 432, 312, 3809, 827, 291, 5881, 291, 415, 646, 6937, 26, 2989, 30, 308, 1761, 2247, 14989, 30, 8560, 16653, 8531, 324, 3636, 10901, 924, 463, 2989, 19704, 2298, 526, 1591, 432, 330, 768, 15584, 1761, 2247, 14989, 30, 8560, 16653, 9905, 768, 638, 1643, 26, 2989, 490, 584, 415, 4134, 32, 426, 328, 630, 32, 520, 1110, 44, 324, 3636, 10901, 924, 463, 18017, 4134, 636, 14098, 44, 330, 768, 17246, 2473, 1643, 26, 2989, 490, 584, 2599, 26, 36002, 30, 630, 547, 669, 26, 2989, 27, 291, 630, 32, 520, 1110, 77, 2989, 32, 426, 79, 280, 4134, 291, 630, 32, 4156, 32, 1689, 26, 2989, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 26, 784, 30, 9025, 81, 88, 47, 2521, 30, 594, 404, 47, 2521, 30, 533, 47, 2521, 30, 17295, 47, 2521, 30, 22038, 47, 2700, 711, 291, 5881, 9903, 322, 34816, 372, 600, 9025, 803, 30, 461, 24480, 971, 40226, 1300, 32, 584, 8350, 291, 13510, 291, 9025, 81, 88, 499, 596, 324, 5380, 372, 9025, 803, 584, 594, 404, 499, 5302, 30, 529, 92, 1462, 32, 60, 40226, 1801, 596, 556, 803, 31, 6228, 324, 5648, 971, 40226, 1300, 33, 983, 372, 971, 40226, 803, 33, 1676, 803, 9866, 32, 1064, 1670, 3943, 30, 458, 1098, 2355, 706, 436, 2899, 4522, 483, 32, 584, 533, 499, 2065, 32, 16771, 291, 17295, 499, 1451, 848, 225, 34, 324, 1670, 3943, 30, 26391, 7029, 544, 600, 4905, 9025, 3112, 529, 107, 82, 821, 324, 20598, 7692, 529, 6858, 82, 9283, 2784, 2454, 645, 529, 7365, 81, 88, 2541, 584, 22038, 499, 1560, 324, 1670, 529, 1815, 1801, 1615, 706, 884, 281, 13709, 372, 312, 4942, 1133, 1650, 10160, 1169, 324, 3829, 32, 225, 12779, 30, 706, 1631, 1159, 3449, 1133, 1447, 10704, 32, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 2398, 9473, 6621, 322, 21634, 9025, 308, 363, 14695, 27, 584, 34904, 291, 20921, 291, 10901, 924, 324, 4593, 6225, 1591, 432, 529, 7365, 81, 88, 82, 556, 20425, 107, 30, 17295, 7601, 2298, 526, 3943, 32, 584, 5881, 584, 415, 533, 438, 1665, 44, 324, 415, 9025, 81, 88, 438, 1665, 44, 400, 3636, 10901, 924, 463, 1076, 6225, 1591, 432, 529, 107, 82, 556, 529, 7365, 81, 88, 82, 330, 9474, 330, 12172, 526, 3943, 683, 1064, 588, 6830, 322, 9025, 324, 533, 30, 17295, 280, 5034, 290, 2496, 32, 944, 26, 7365, 81, 88, 30, 17295, 47, 6858, 30, 25929, 47, 1815, 27, 584, 415, 17295, 438, 1665, 44, 324, 3636, 10901, 924, 463, 2797, 9025, 438, 3943, 619, 529, 107, 1801, 844, 2298, 330, 768, 330, 38484, 322, 20598, 7692, 619, 17295, 47169, 584, 415, 594, 404, 438, 1665, 44, 324, 594, 404, 280, 594, 1462, 32, 60, 40226, 346, 324, 594, 404, 32, 761, 81, 4519, 32, 6932, 280, 5034, 290, 2496, 32, 371, 81, 6932, 26, 107, 47, 107, 30, 17295, 47, 6858, 27, 584, 588, 6830, 322, 594, 1462, 291, 415, 646, 6937, 26, 20813, 30, 594, 1462, 32, 60, 40226, 711, 324, 594, 404, 280, 594, 1462, 32, 944, 26, 20813, 27, 584, 706, 280, 5436, 346, 584, 436, 4134, 328, 630, 32, 4156, 44, 324, 415, 6937, 26, 2989, 30, 3772, 2247, 14989, 711, 400, 706, 32, 1877, 26, 2989, 32, 3792, 26, 20813, 490, 324, 4348, 6937, 26, 2989, 30, 8560, 16653, 711, 400, 706, 32, 1877, 26, 2989, 32, 3792, 26, 107, 30, 17295, 490, 291, 415, 22038, 44, 324, 706, 280, 630, 32, 16126, 26, 605, 27, 291, 442, 706, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 21404, 26, 784, 30, 310, 81, 7088, 30, 7459, 30, 3995, 81, 1293, 47, 2521 ]
[ 711, 291, 5881, 13614, 312, 21404, 1300, 436, 458, 39882, 1182, 15568, 32, 584, 8350, 291, 13510, 291, 310, 81, 7088, 499, 1665, 556, 629, 848, 225, 34, 324, 886, 1451, 432, 9801, 372, 4450, 584, 7459, 499, 629, 848, 225, 34, 324, 886, 7459, 308, 266, 12872, 27, 432, 2504, 3964, 7841, 584, 3995, 81, 1293, 499, 1665, 30, 629, 30, 556, 2065, 32, 3855, 32, 6096, 1078, 324, 1670, 629, 30, 3995, 81, 1293, 438, 322, 9124, 1654, 810, 322, 3995, 1451, 324, 9750, 45, 1064, 1670, 9500, 1078, 1980, 30, 3995, 81, 1293, 438, 322, 3995, 1451, 324, 9750, 45, 1064, 1670, 1665, 30, 322, 3995, 1451, 9750, 438, 322, 9500, 1078, 1980, 324, 1654, 810, 2065, 32, 3855, 32, 584, 3759, 291, 14761, 291, 21404, 499, 39882, 98, 32, 17362, 324, 886, 21404, 1300, 584, 2802, 8669, 291, 24618, 291, 39882, 98, 32, 19745, 32, 17362, 291, 5881, 584, 442, 43043, 26, 96, 81, 7088, 30, 7459, 30, 5556, 3995, 81, 1293, 47, 3855, 81, 1293, 30, 5556, 319, 784, 32, 4156, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 3829, 26, 784, 711, 291, 5881, 51, 9473, 432, 3829, 23011, 810, 458, 39882, 9592, 291, 963, 280, 5436, 346, 291, 436, 4134, 328, 630, 32, 4156, 44, 324, 963, 32, 1877, 14605, 2989, 32, 4151, 27, 584, 442, 963, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 11583, 26, 784, 711, 291, 5881, 13614, 48453, 1509, 11583, 436, 1169, 2787, 4522, 483, 291, 328, 322, 39882, 32, 584, 3759, 291, 14761, 291, 11583, 499, 301, 1495, 44, 20211, 32, 8216, 32, 1612, 111, 324, 399, 9473, 432, 20211, 1509, 11583, 30, 1202, 318, 810, 322, 8435, 324, 3829, 32, 291, 5881, 584, 5396, 1110, 280, 5436, 346, 291, 436, 4134, 328, 630, 32, 4156, 44, 324, 415, 19326, 26, 2989, 30, 330, 8216, 7831, 400, 5396, 1110, 32, 1877, 26, 2989, 32, 8216, 1157, 291, 442, 5396, 1110, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 739, 81, 9271, 81, 12700, 26, 784, 30, 298, 81, 784, 711, 291, 5881, 885, 322, 35642, 31, 17095, 9094, 5045, 9267, 372, 291, 630, 31, 5837, 35992, 32, 584, 8350, 291, 13510, 291, 298, 81, 784, 499, 1665, 30, 1897, 328, 308, 34, 30, 225, 35, 471, 556, 2065, 32, 16771, 428, 3229, 4310, 36, 30, 2177, 324, 5648, 630, 31, 5837, 16356, 26, 732, 471, 1654, 436, 676, 1731, 6506, 28096, 291, 5881, 291, 415, 298, 81, 784, 438, 1665, 44, 324, 630, 32, 12700, 81, 9271, 280, 1665, 291, 813, 44, 324, 630, 32, 12700, 81, 9271, 280, 9094, 81, 5837, 26, 36, 30, 298, 81, 784, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 739, 81, 9271, 81, 1746, 26, 784, 30, 298, 81, 784, 711, 291, 5881, 885, 322, 2835, 12700, 31, 17095, 9094, 5045, 9267, 372, 291, 630, 31, 5837, 35992, 32, 584, 8350, 291, 13510, 291, 298, 81, 784, 499, 1665, 30, 1897, 328, 308, 34, 30, 225, 35, 471, 556, 2065, 32, 16771, 428, 3229, 4310, 36, 30, 2177, 324, 5648, 630, 31, 5837, 16356, 26, 732, 471, 1654, 436, 676, 1731, 6506, 28096, 291, 5881, 291, 415, 298, 81, 784, 438, 1665, 44, 324, 630, 32, 1746, 81, 9271, 280, 1665, 291, 813, 44, 324, 630, 32, 1746, 81, 9271, 280, 9094, 81, 5837, 26, 36, 30, 298, 81, 784, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 4330, 26, 784, 30, 23921, 30, 7459, 711, 291, 5881, 9903, 322, 35642, 26612, 584, 8350, 291, 13510, 291, 23921, 499, 594, 1462, 32, 7942, 324, 886, 1509, 11188, 584, 7459, 499, 1451, 848, 225, 34, 324, 886, 7459, 432, 322, 9025, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 12700, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 30, 225, 35, 27, 400, 13312, 18384, 432, 35642, 33, 3780, 31, 12700, 1064, 706, 710, 1746, 12700, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 30, 225, 35, 27, 400, 13312, 18384, 432, 2835, 12700, 33, 3780, 31, 1746, 12700, 1064, 5941, 81, 1746, 12700, 499, 1560, 400, 2933, 415, 2835, 12700, 14695, 884, 5024, 291, 5881, 584, 5941, 81, 1746, 12700, 280, 3177, 584, 26374, 30, 2078, 280, 23921, 32, 452, 81, 7568, 81, 2810, 346, 291, 2078, 280, 2065, 32, 26742, 26, 2810, 27, 584, 35642, 81, 5057, 280, 26374, 6894, 225, 34, 79, 291, 35642, 81, 5919, 280, 2065, 32, 5783, 1162, 1657, 26, 12700, 81, 5057, 471, 225, 35, 490, 584, 5417, 280, 308, 2810, 610, 225, 35, 27, 291, 415, 2065, 32, 1813, 26, 2875, 711, 324, 2835, 12700, 81, 5057, 280, 35642, 81, 5057, 77, 2875, 79, 324, 2835, 12700, 81, 5919, 280, 2065, 32, 5783, 1162, 1657, 26, 1746, 12700, 81, 5057, 471, 225, 35, 490, 324, 5941, 81, 1746, 12700, 280, 2933, 291, 813, 44, 324, 2835, 12700, 81, 5057, 280, 2065, 32, 9880, 26, 34, 27, 324, 2835, 12700, 81, 5919, 280, 2065, 32, 9880, 1162, 34, 30, 225, 35, 490, 584, 1760, 81, 12700, 280, 630, 32, 4434, 81, 5057, 26, 6932, 30, 11244, 35642, 81, 5057, 30, 11244, 35642, 81, 5919, 27, 584, 1760, 81, 1746, 12700, 280, 630, 32, 4434, 81, 5057, 26, 6932, 30, 13687, 2835, 12700, 81, 5057, 30, 13687, 2835, 12700, 81, 5919, 27, 584, 442, 5053, 12700, 950, 1760, 81, 12700, 30, 400, 330, 1746, 12700, 950, 1760, 81, 1746, 12700, 30, 400, 330, 3965, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 711, 291, 5881, 13614, 312, 21404, 1300, 436, 458, 39882, 1182, 15568, 32, 584, 8350, 291, 13510, 291, 310, 81, 7088, 499, 1665, 556, 629, 848, 225, 34, 324, 886, 1451, 432, 9801, 372, 4450, 584, 7459, 499, 629, 848, 225, 34, 324, 886, 7459, 308, 266, 12872, 27, 432, 2504, 3964, 7841, 584, 3995, 81, 1293, 499, 1665, 30, 629, 30, 556, 2065, 32, 3855, 32, 6096, 1078, 324, 1670, 629, 30, 3995, 81, 1293, 438, 322, 9124, 1654, 810, 322, 3995, 1451, 324, 9750, 45, 1064, 1670, 9500, 1078, 1980, 30, 3995, 81, 1293, 438, 322, 3995, 1451, 324, 9750, 45, 1064, 1670, 1665, 30, 322, 3995, 1451, 9750, 438, 322, 9500, 1078, 1980, 324, 1654, 810, 2065, 32, 3855, 32, 584, 3759, 291, 14761, 291, 21404, 499, 39882, 98, 32, 17362, 324, 886, 21404, 1300, 584, 2802, 8669, 291, 24618, 291, 39882, 98, 32, 19745, 32, 17362, 291, 5881, 584, 442, 43043, 26, 96, 81, 7088, 30, 7459, 30, 5556, 3995, 81, 1293, 47, 3855, 81, 1293, 30, 5556, 319, 784, 32, 4156, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 3829, 26, 784, 711, 291, 5881, 51, 9473, 432, 3829, 23011, 810, 458, 39882, 9592, 291, 963, 280, 5436, 346, 291, 436, 4134, 328, 630, 32, 4156, 44, 324, 963, 32, 1877, 14605, 2989, 32, 4151, 27, 584, 442, 963, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 11583, 26, 784, 711, 291, 5881, 13614, 48453, 1509, 11583, 436, 1169, 2787, 4522, 483, 291, 328, 322, 39882, 32, 584, 3759, 291, 14761, 291, 11583, 499, 301, 1495, 44, 20211, 32, 8216, 32, 1612, 111, 324, 399, 9473, 432, 20211, 1509, 11583, 30, 1202, 318, 810, 322, 8435, 324, 3829, 32, 291, 5881, 584, 5396, 1110, 280, 5436, 346, 291, 436, 4134, 328, 630, 32, 4156, 44, 324, 415, 19326, 26, 2989, 30, 330, 8216, 7831, 400, 5396, 1110, 32, 1877, 26, 2989, 32, 8216, 1157, 291, 442, 5396, 1110, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 739, 81, 9271, 81, 12700, 26, 784, 30, 298, 81, 784, 711, 291, 5881, 885, 322, 35642, 31, 17095, 9094, 5045, 9267, 372, 291, 630, 31, 5837, 35992, 32, 584, 8350, 291, 13510, 291, 298, 81, 784, 499, 1665, 30, 1897, 328, 308, 34, 30, 225, 35, 471, 556, 2065, 32, 16771, 428, 3229, 4310, 36, 30, 2177, 324, 5648, 630, 31, 5837, 16356, 26, 732, 471, 1654, 436, 676, 1731, 6506, 28096, 291, 5881, 291, 415, 298, 81, 784, 438, 1665, 44, 324, 630, 32, 12700, 81, 9271, 280, 1665, 291, 813, 44, 324, 630, 32, 12700, 81, 9271, 280, 9094, 81, 5837, 26, 36, 30, 298, 81, 784, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 739, 81, 9271, 81, 1746, 26, 784, 30, 298, 81, 784, 711, 291, 5881, 885, 322, 2835, 12700, 31, 17095, 9094, 5045, 9267, 372, 291, 630, 31, 5837, 35992, 32, 584, 8350, 291, 13510, 291, 298, 81, 784, 499, 1665, 30, 1897, 328, 308, 34, 30, 225, 35, 471, 556, 2065, 32, 16771, 428, 3229, 4310, 36, 30, 2177, 324, 5648, 630, 31, 5837, 16356, 26, 732, 471, 1654, 436, 676, 1731, 6506, 28096, 291, 5881, 291, 415, 298, 81, 784, 438, 1665, 44, 324, 630, 32, 1746, 81, 9271, 280, 1665, 291, 813, 44, 324, 630, 32, 1746, 81, 9271, 280, 9094, 81, 5837, 26, 36, 30, 298, 81, 784, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 4330, 26, 784, 30, 23921, 30, 7459, 711, 291, 5881, 9903, 322, 35642, 26612, 584, 8350, 291, 13510, 291, 23921, 499, 594, 1462, 32, 7942, 324, 886, 1509, 11188, 584, 7459, 499, 1451, 848, 225, 34, 324, 886, 7459, 432, 322, 9025, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 12700, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 30, 225, 35, 27, 400, 13312, 18384, 432, 35642, 33, 3780, 31, 12700, 1064, 706, 710, 1746, 12700, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 30, 225, 35, 27, 400, 13312, 18384, 432, 2835, 12700, 33, 3780, 31, 1746, 12700, 1064, 5941, 81, 1746, 12700, 499, 1560, 400, 2933, 415, 2835, 12700, 14695, 884, 5024, 291, 5881, 584, 5941, 81, 1746, 12700, 280, 3177, 584, 26374, 30, 2078, 280, 23921, 32, 452, 81, 7568, 81, 2810, 346, 291, 2078, 280, 2065, 32, 26742, 26, 2810, 27, 584, 35642, 81, 5057, 280, 26374, 6894, 225, 34, 79, 291, 35642, 81, 5919, 280, 2065, 32, 5783, 1162, 1657, 26, 12700, 81, 5057, 471, 225, 35, 490, 584, 5417, 280, 308, 2810, 610, 225, 35, 27, 291, 415, 2065, 32, 1813, 26, 2875, 711, 324, 2835, 12700, 81, 5057, 280, 35642, 81, 5057, 77, 2875, 79, 324, 2835, 12700, 81, 5919, 280, 2065, 32, 5783, 1162, 1657, 26, 1746, 12700, 81, 5057, 471, 225, 35, 490, 324, 5941, 81, 1746, 12700, 280, 2933, 291, 813, 44, 324, 2835, 12700, 81, 5057, 280, 2065, 32, 9880, 26, 34, 27, 324, 2835, 12700, 81, 5919, 280, 2065, 32, 9880, 1162, 34, 30, 225, 35, 490, 584, 1760, 81, 12700, 280, 630, 32, 4434, 81, 5057, 26, 6932, 30, 11244, 35642, 81, 5057, 30, 11244, 35642, 81, 5919, 27, 584, 1760, 81, 1746, 12700, 280, 630, 32, 4434, 81, 5057, 26, 6932, 30, 13687, 2835, 12700, 81, 5057, 30, 13687, 2835, 12700, 81, 5919, 27, 584, 442, 5053, 12700, 950, 1760, 81, 12700, 30, 400, 330, 1746, 12700, 950, 1760, 81, 1746, 12700, 30, 400, 330, 3965, 81 ]
[ 1746, 12700, 950, 5941, 81, 1746, 12700, 111, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 19385, 26, 784, 30, 11830, 30, 2835, 12700, 47, 2521, 30, 7459, 47, 2521, 711, 291, 5881, 23173, 17488, 436, 526, 1966, 461, 5302, 2835, 27894, 9592, 584, 23921, 280, 594, 1462, 32, 7942, 26, 2011, 47, 784, 32, 2011, 30, 7459, 47, 6932, 27, 584, 35642, 81, 5571, 280, 2065, 32, 26742, 2009, 102, 436, 273, 30, 617, 328, 630, 32, 5460, 81, 5057, 26, 12596, 30, 38885, 9094, 47, 784, 32, 12700, 81, 9271, 30, 38885, 298, 81, 1664, 47, 784, 32, 12700, 81, 98, 81, 1664, 30, 38885, 298, 81, 1293, 47, 784, 32, 12700, 81, 98, 81, 1293, 27, 415, 617, 1130, 291, 35642, 81, 9433, 280, 1133, 81, 452, 81, 9433, 26, 12700, 81, 5571, 30, 9474, 17295, 47, 784, 32, 6858, 30, 9474, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 27, 584, 415, 2835, 12700, 438, 646, 1665, 44, 324, 2835, 12700, 81, 5571, 280, 739, 2009, 102, 436, 273, 30, 617, 328, 630, 32, 5460, 81, 5057, 26, 1746, 12700, 30, 5899, 261, 9094, 47, 784, 32, 1746, 81, 9271, 30, 5899, 261, 298, 81, 1664, 47, 784, 32, 1746, 81, 98, 81, 1664, 30, 5899, 261, 298, 81, 1293, 47, 784, 32, 1746, 81, 98, 81, 1293, 27, 415, 617, 1130, 324, 8298, 417, 81, 27894, 280, 2069, 2009, 102, 436, 273, 328, 35642, 81, 5571, 1378, 415, 273, 333, 1847, 26, 1746, 12700, 81, 5571, 14829, 291, 813, 44, 324, 2835, 12700, 81, 5571, 280, 739, 346, 324, 8298, 417, 81, 27894, 280, 225, 34, 584, 786, 280, 429, 8298, 417, 81, 27894, 429, 225, 35, 291, 436, 35642, 81, 102, 30, 35642, 81, 88, 328, 8529, 26, 12700, 81, 5571, 30, 35642, 81, 9433, 711, 324, 415, 35642, 81, 102, 328, 2835, 12700, 81, 5571, 44, 400, 786, 280, 225, 35, 324, 813, 44, 400, 786, 1454, 225, 35, 324, 24462, 280, 11830, 77, 12700, 81, 88, 79, 324, 23921, 32, 1689, 26, 1003, 47, 12700, 81, 102, 30, 5556, 7459, 47, 34, 30, 5556, 786, 47, 853, 30, 5556, 24462, 47, 30900, 27, 584, 442, 23921, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 4330, 26, 784, 30, 23921, 30, 7459, 711, 291, 5881, 4859, 600, 11188, 372, 322, 35642, 31, 2705, 7328, 584, 8350, 291, 13510, 291, 23921, 499, 594, 1462, 32, 7942, 324, 886, 11188, 372, 4483, 584, 7459, 499, 1451, 848, 225, 34, 324, 886, 7459, 432, 322, 4562, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 2705, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 30, 310, 81, 5919, 27, 556, 308, 96, 30, 225, 35, 27, 400, 399, 1133, 31, 45150, 2266, 7328, 432, 35642, 2747, 291, 5881, 584, 588, 225, 35, 32, 622, 1169, 322, 5216, 291, 588, 225, 36, 32, 2290, 1169, 322, 2835, 27894, 291, 588, 225, 37, 32, 1992, 2504, 2835, 12700, 372, 312, 1361, 23465, 7022, 291, 588, 958, 1451, 432, 526, 1966, 6222, 322, 2354, 2835, 12700, 291, 588, 225, 38, 32, 9789, 963, 5216, 372, 26374, 291, 588, 225, 39, 32, 9336, 2504, 35642, 7898, 372, 2819, 2747, 584, 28116, 30, 2078, 280, 23921, 32, 452, 81, 7568, 81, 2810, 346, 291, 588, 8125, 372, 26374, 461, 8106, 322, 7459, 291, 588, 3714, 821, 322, 943, 432, 4562, 1957, 646, 34957, 322, 2091, 2266, 291, 588, 458, 438, 600, 12442, 432, 9233, 22871, 943, 31, 1028, 31, 4390, 645, 28116, 8415, 291, 28116, 280, 1149, 26, 4464, 5270, 6894, 225, 34, 1130, 291, 415, 28116, 461, 28116, 6448, 35, 79, 333, 7459, 44, 324, 28116, 32, 1689, 26, 6932, 27, 291, 26374, 280, 28116, 81, 452, 81, 35158, 26, 4464, 5270, 27, 291, 26374, 30, 2078, 280, 10891, 81, 35158, 26, 35158, 30, 2078, 30, 13687, 273, 81, 887, 47, 34, 30, 13687, 273, 81, 1449, 47, 6932, 30, 13687, 1477, 81, 1172, 47, 34, 30, 13687, 943, 81, 1172, 47, 34, 27, 584, 2078, 280, 2065, 32, 26742, 26, 2810, 30, 9710, 47, 410, 27, 291, 2835, 27894, 280, 2065, 32, 6849, 38094, 26, 2810, 610, 225, 35, 27, 584, 2747, 280, 1605, 291, 436, 595, 30, 354, 328, 10703, 26, 2810, 711, 324, 588, 1670, 322, 786, 438, 312, 225, 34, 30, 3634, 561, 619, 1593, 461, 5169, 544, 324, 415, 354, 610, 225, 34, 44, 400, 2747, 32, 8233, 26, 784, 32, 13023, 32, 3792, 4901, 74, 7698, 400, 4036, 1064, 588, 12779, 30, 1207, 1182, 1596, 372, 2290, 322, 45462, 2835, 27894, 324, 7323, 81, 2875, 280, 2065, 32, 1903, 11939, 26, 1746, 27894, 30, 595, 30, 5209, 1057, 990, 683, 429, 225, 35, 324, 2354, 81, 2875, 280, 225, 35, 474, 7323, 81, 2875, 1064, 415, 7323, 81, 2875, 2377, 225, 34, 461, 2354, 81, 2875, 333, 2069, 26, 1746, 27894, 711, 400, 588, 701, 458, 1135, 30, 322, 1361, 23465, 438, 4487, 31, 2187, 400, 1361, 23465, 280, 2835, 27894, 77, 1978, 81, 2875, 79, 429, 2835, 27894, 77, 5586, 81, 2875, 79, 324, 4348, 7323, 81, 2875, 333, 225, 34, 461, 2354, 81, 2875, 333, 2069, 26, 1746, 27894, 711, 400, 1361, 23465, 280, 2065, 32, 1449, 26, 2810, 2867, 1746, 27894, 77, 34, 6155, 35, 1130, 324, 4348, 2354, 81, 2875, 2377, 2069, 26, 1746, 27894, 711, 400, 1361, 23465, 280, 2069, 26, 2810, 27, 429, 2835, 27894, 77, 5586, 81, 2875, 79, 1064, 415, 1361, 23465, 848, 630, 32, 1449, 81, 507, 14684, 556, 1361, 23465, 333, 225, 35, 44, 400, 2747, 32, 8233, 26, 784, 32, 13023, 32, 3792, 4901, 74, 7698, 324, 813, 44, 400, 2747, 32, 8233, 26, 784, 32, 13023, 32, 3792, 4901, 14379, 34, 36, 86, 3188, 14379, 34, 36, 86, 16805, 1643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1746, 12700, 950, 5941, 81, 1746, 12700, 111, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 19385, 26, 784, 30, 11830, 30, 2835, 12700, 47, 2521, 30, 7459, 47, 2521, 711, 291, 5881, 23173, 17488, 436, 526, 1966, 461, 5302, 2835, 27894, 9592, 584, 23921, 280, 594, 1462, 32, 7942, 26, 2011, 47, 784, 32, 2011, 30, 7459, 47, 6932, 27, 584, 35642, 81, 5571, 280, 2065, 32, 26742, 2009, 102, 436, 273, 30, 617, 328, 630, 32, 5460, 81, 5057, 26, 12596, 30, 38885, 9094, 47, 784, 32, 12700, 81, 9271, 30, 38885, 298, 81, 1664, 47, 784, 32, 12700, 81, 98, 81, 1664, 30, 38885, 298, 81, 1293, 47, 784, 32, 12700, 81, 98, 81, 1293, 27, 415, 617, 1130, 291, 35642, 81, 9433, 280, 1133, 81, 452, 81, 9433, 26, 12700, 81, 5571, 30, 9474, 17295, 47, 784, 32, 6858, 30, 9474, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 27, 584, 415, 2835, 12700, 438, 646, 1665, 44, 324, 2835, 12700, 81, 5571, 280, 739, 2009, 102, 436, 273, 30, 617, 328, 630, 32, 5460, 81, 5057, 26, 1746, 12700, 30, 5899, 261, 9094, 47, 784, 32, 1746, 81, 9271, 30, 5899, 261, 298, 81, 1664, 47, 784, 32, 1746, 81, 98, 81, 1664, 30, 5899, 261, 298, 81, 1293, 47, 784, 32, 1746, 81, 98, 81, 1293, 27, 415, 617, 1130, 324, 8298, 417, 81, 27894, 280, 2069, 2009, 102, 436, 273, 328, 35642, 81, 5571, 1378, 415, 273, 333, 1847, 26, 1746, 12700, 81, 5571, 14829, 291, 813, 44, 324, 2835, 12700, 81, 5571, 280, 739, 346, 324, 8298, 417, 81, 27894, 280, 225, 34, 584, 786, 280, 429, 8298, 417, 81, 27894, 429, 225, 35, 291, 436, 35642, 81, 102, 30, 35642, 81, 88, 328, 8529, 26, 12700, 81, 5571, 30, 35642, 81, 9433, 711, 324, 415, 35642, 81, 102, 328, 2835, 12700, 81, 5571, 44, 400, 786, 280, 225, 35, 324, 813, 44, 400, 786, 1454, 225, 35, 324, 24462, 280, 11830, 77, 12700, 81, 88, 79, 324, 23921, 32, 1689, 26, 1003, 47, 12700, 81, 102, 30, 5556, 7459, 47, 34, 30, 5556, 786, 47, 853, 30, 5556, 24462, 47, 30900, 27, 584, 442, 23921, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 4330, 26, 784, 30, 23921, 30, 7459, 711, 291, 5881, 4859, 600, 11188, 372, 322, 35642, 31, 2705, 7328, 584, 8350, 291, 13510, 291, 23921, 499, 594, 1462, 32, 7942, 324, 886, 11188, 372, 4483, 584, 7459, 499, 1451, 848, 225, 34, 324, 886, 7459, 432, 322, 4562, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 2705, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 30, 310, 81, 5919, 27, 556, 308, 96, 30, 225, 35, 27, 400, 399, 1133, 31, 45150, 2266, 7328, 432, 35642, 2747, 291, 5881, 584, 588, 225, 35, 32, 622, 1169, 322, 5216, 291, 588, 225, 36, 32, 2290, 1169, 322, 2835, 27894, 291, 588, 225, 37, 32, 1992, 2504, 2835, 12700, 372, 312, 1361, 23465, 7022, 291, 588, 958, 1451, 432, 526, 1966, 6222, 322, 2354, 2835, 12700, 291, 588, 225, 38, 32, 9789, 963, 5216, 372, 26374, 291, 588, 225, 39, 32, 9336, 2504, 35642, 7898, 372, 2819, 2747, 584, 28116, 30, 2078, 280, 23921, 32, 452, 81, 7568, 81, 2810, 346, 291, 588, 8125, 372, 26374, 461, 8106, 322, 7459, 291, 588, 3714, 821, 322, 943, 432, 4562, 1957, 646, 34957, 322, 2091, 2266, 291, 588, 458, 438, 600, 12442, 432, 9233, 22871, 943, 31, 1028, 31, 4390, 645, 28116, 8415, 291, 28116, 280, 1149, 26, 4464, 5270, 6894, 225, 34, 1130, 291, 415, 28116, 461, 28116, 6448, 35, 79, 333, 7459, 44, 324, 28116, 32, 1689, 26, 6932, 27, 291, 26374, 280, 28116, 81, 452, 81, 35158, 26, 4464, 5270, 27, 291, 26374, 30, 2078, 280, 10891, 81, 35158, 26, 35158, 30, 2078, 30, 13687, 273, 81, 887, 47, 34, 30, 13687, 273, 81, 1449, 47, 6932, 30, 13687, 1477, 81, 1172, 47, 34, 30, 13687, 943, 81, 1172, 47, 34, 27, 584, 2078, 280, 2065, 32, 26742, 26, 2810, 30, 9710, 47, 410, 27, 291, 2835, 27894, 280, 2065, 32, 6849, 38094, 26, 2810, 610, 225, 35, 27, 584, 2747, 280, 1605, 291, 436, 595, 30, 354, 328, 10703, 26, 2810, 711, 324, 588, 1670, 322, 786, 438, 312, 225, 34, 30, 3634, 561, 619, 1593, 461, 5169, 544, 324, 415, 354, 610, 225, 34, 44, 400, 2747, 32, 8233, 26, 784, 32, 13023, 32, 3792, 4901, 74, 7698, 400, 4036, 1064, 588, 12779, 30, 1207, 1182, 1596, 372, 2290, 322, 45462, 2835, 27894, 324, 7323, 81, 2875, 280, 2065, 32, 1903, 11939, 26, 1746, 27894, 30, 595, 30, 5209, 1057, 990, 683, 429, 225, 35, 324, 2354, 81, 2875, 280, 225, 35, 474, 7323, 81, 2875, 1064, 415, 7323, 81, 2875, 2377, 225, 34, 461, 2354, 81, 2875, 333, 2069, 26, 1746, 27894, 711, 400, 588, 701, 458, 1135, 30, 322, 1361, 23465, 438, 4487, 31, 2187, 400, 1361, 23465, 280, 2835, 27894, 77, 1978, 81, 2875, 79, 429, 2835, 27894, 77, 5586, 81, 2875, 79, 324, 4348, 7323, 81, 2875, 333, 225, 34, 461, 2354, 81, 2875, 333, 2069, 26, 1746, 27894, 711, 400, 1361, 23465, 280, 2065, 32, 1449, 26, 2810, 2867, 1746, 27894, 77, 34, 6155, 35, 1130, 324, 4348, 2354, 81, 2875, 2377, 2069, 26, 1746, 27894, 711, 400, 1361, 23465, 280, 2069, 26, 2810, 27, 429, 2835, 27894, 77, 5586, 81, 2875, 79, 1064, 415, 1361, 23465, 848, 630, 32, 1449, 81, 507, 14684, 556, 1361, 23465, 333, 225, 35, 44, 400, 2747, 32, 8233, 26, 784, 32, 13023, 32, 3792, 4901, 74, 7698, 324, 813, 44, 400, 2747, 32, 8233, 26, 784, 32, 13023, 32, 3792, 4901, 14379, 34, 36, 86, 3188, 14379, 34, 36, 86, 16805, 1643 ]
[ 26, 1113, 23465, 30, 354, 45917, 584, 9710, 280, 630, 32, 4151, 77, 784, 32, 3473, 463, 2705, 683, 997, 12010, 584, 2747, 280, 2065, 32, 26742, 26, 2705, 27, 291, 415, 630, 32, 15378, 44, 324, 2747, 280, 2747, 6894, 2065, 32, 890, 5082, 79, 584, 1760, 280, 630, 32, 4434, 81, 35158, 26, 6932, 30, 26374, 30, 2747, 30, 10000, 6959, 47, 2700, 30, 9710, 47, 12010, 27, 291, 442, 5053, 2705, 950, 1760, 111, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 322, 28707, 1764, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 13403, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 1433, 97, 1764, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 8888, 81, 1322, 27, 400, 886, 28707, 1764, 291, 5881, 291, 310, 81, 9433, 280, 630, 32, 96, 81, 9433, 26, 371, 81, 6932, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 490, 584, 273, 1764, 280, 28707, 1764, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 30, 3775, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 30, 3775, 8888, 81, 1322, 47, 784, 32, 4463, 81, 1322, 547, 15315, 26, 2356, 32, 1808, 37, 36, 27, 584, 273, 1764, 280, 2421, 81, 1322, 26, 102, 1764, 30, 310, 81, 9433, 27, 291, 442, 5053, 1433, 97, 1764, 950, 273, 1764, 32, 70, 77, 784, 32, 2875, 6653, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 9903, 322, 5247, 4522, 372, 322, 28707, 1764, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 886, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 1433, 500, 2757, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 310, 81, 3972, 27, 400, 886, 5247, 4522, 28033, 26370, 291, 5881, 291, 706, 280, 2599, 26, 2410, 97, 5234, 30, 630, 547, 3792, 81, 7365, 26, 107, 27, 291, 706, 710, 1433, 500, 2757, 785, 280, 2065, 32, 3596, 26, 3972, 26, 605, 32, 3235, 463, 1433, 97, 1764, 1425, 2476, 6013, 47, 35, 30, 2476, 310, 81, 3972, 47, 784, 32, 96, 81, 3972, 3427, 15315, 26, 2356, 32, 1808, 37, 36, 5594, 784, 32, 2875, 79, 291, 442, 706, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 4330, 26, 784, 30, 23921, 30, 7459, 711, 291, 5881, 9903, 322, 5193, 21693, 17488, 32, 584, 8350, 291, 13510, 291, 23921, 499, 594, 1462, 32, 7942, 324, 886, 8430, 11188, 584, 7459, 499, 1451, 848, 225, 34, 324, 886, 1760, 7459, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 36872, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 30, 310, 471, 9710, 47, 2420, 291, 5881, 584, 26374, 30, 2078, 280, 23921, 32, 452, 81, 7568, 81, 2810, 346, 584, 26374, 30, 2078, 280, 10891, 81, 35158, 26, 35158, 30, 2078, 30, 13687, 273, 81, 887, 47, 34, 30, 273, 81, 1449, 47, 6932, 27, 291, 588, 902, 31, 1055, 322, 6492, 291, 9668, 30, 617, 280, 1650, 81, 5919, 26, 2810, 27, 584, 7692, 280, 1897, 26, 784, 32, 18994, 81, 1322, 27, 517, 630, 32, 6858, 291, 588, 12134, 8430, 6492, 544, 2992, 3118, 5102, 291, 4950, 6492, 280, 26374, 81, 452, 81, 7088, 26, 35158, 30, 9668, 30, 3964, 81, 891, 47, 3306, 27, 584, 588, 6400, 322, 21693, 5045, 291, 442, 5053, 36872, 950, 2065, 32, 2228, 32, 11925, 26, 5919, 30, 6492, 4370, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 322, 3849, 4880, 28033, 461, 11225, 32, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 886, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 10449, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 225, 35, 474, 310, 81, 19351, 306, 36, 27, 400, 3849, 4880, 28033, 1064, 706, 710, 12040, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 225, 35, 474, 310, 81, 19351, 306, 36, 27, 400, 3849, 4880, 11225, 291, 5881, 291, 310, 81, 9433, 280, 630, 32, 96, 81, 9433, 26, 371, 81, 6932, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 490, 584, 475, 280, 376, 708, 26, 107, 30, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 30, 353, 310, 81, 19351, 47, 784, 32, 96, 81, 19351, 27, 584, 475, 280, 2421, 81, 1322, 26, 54, 30, 310, 81, 9433, 27, 584, 11736, 30, 11225, 280, 11736, 12040, 26, 54, 27, 291, 415, 630, 32, 751, 44, 324, 11736, 280, 38111, 81, 452, 81, 1199, 26, 10449, 30, 2488, 47, 2356, 32, 1449, 27, 584, 442, 5053, 10449, 950, 11736, 32, 70, 77, 784, 32, 2875, 997, 15315, 26, 2356, 32, 1808, 37, 36, 471, 400, 330, 12040, 950, 2065, 32, 3695, 26, 12040, 32, 70, 5594, 784, 32, 2875, 997, 15315, 26, 2356, 32, 1808, 37, 36, 4370, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 322, 3849, 4880, 623, 11225, 3178, 32131, 32, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 322, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 10449, 785, 499 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26, 1113, 23465, 30, 354, 45917, 584, 9710, 280, 630, 32, 4151, 77, 784, 32, 3473, 463, 2705, 683, 997, 12010, 584, 2747, 280, 2065, 32, 26742, 26, 2705, 27, 291, 415, 630, 32, 15378, 44, 324, 2747, 280, 2747, 6894, 2065, 32, 890, 5082, 79, 584, 1760, 280, 630, 32, 4434, 81, 35158, 26, 6932, 30, 26374, 30, 2747, 30, 10000, 6959, 47, 2700, 30, 9710, 47, 12010, 27, 291, 442, 5053, 2705, 950, 1760, 111, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 322, 28707, 1764, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 13403, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 1433, 97, 1764, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 8888, 81, 1322, 27, 400, 886, 28707, 1764, 291, 5881, 291, 310, 81, 9433, 280, 630, 32, 96, 81, 9433, 26, 371, 81, 6932, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 490, 584, 273, 1764, 280, 28707, 1764, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 30, 3775, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 30, 3775, 8888, 81, 1322, 47, 784, 32, 4463, 81, 1322, 547, 15315, 26, 2356, 32, 1808, 37, 36, 27, 584, 273, 1764, 280, 2421, 81, 1322, 26, 102, 1764, 30, 310, 81, 9433, 27, 291, 442, 5053, 1433, 97, 1764, 950, 273, 1764, 32, 70, 77, 784, 32, 2875, 6653, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 9903, 322, 5247, 4522, 372, 322, 28707, 1764, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 886, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 1433, 500, 2757, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 310, 81, 3972, 27, 400, 886, 5247, 4522, 28033, 26370, 291, 5881, 291, 706, 280, 2599, 26, 2410, 97, 5234, 30, 630, 547, 3792, 81, 7365, 26, 107, 27, 291, 706, 710, 1433, 500, 2757, 785, 280, 2065, 32, 3596, 26, 3972, 26, 605, 32, 3235, 463, 1433, 97, 1764, 1425, 2476, 6013, 47, 35, 30, 2476, 310, 81, 3972, 47, 784, 32, 96, 81, 3972, 3427, 15315, 26, 2356, 32, 1808, 37, 36, 5594, 784, 32, 2875, 79, 291, 442, 706, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 4330, 26, 784, 30, 23921, 30, 7459, 711, 291, 5881, 9903, 322, 5193, 21693, 17488, 32, 584, 8350, 291, 13510, 291, 23921, 499, 594, 1462, 32, 7942, 324, 886, 8430, 11188, 584, 7459, 499, 1451, 848, 225, 34, 324, 886, 1760, 7459, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 36872, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 30, 310, 471, 9710, 47, 2420, 291, 5881, 584, 26374, 30, 2078, 280, 23921, 32, 452, 81, 7568, 81, 2810, 346, 584, 26374, 30, 2078, 280, 10891, 81, 35158, 26, 35158, 30, 2078, 30, 13687, 273, 81, 887, 47, 34, 30, 273, 81, 1449, 47, 6932, 27, 291, 588, 902, 31, 1055, 322, 6492, 291, 9668, 30, 617, 280, 1650, 81, 5919, 26, 2810, 27, 584, 7692, 280, 1897, 26, 784, 32, 18994, 81, 1322, 27, 517, 630, 32, 6858, 291, 588, 12134, 8430, 6492, 544, 2992, 3118, 5102, 291, 4950, 6492, 280, 26374, 81, 452, 81, 7088, 26, 35158, 30, 9668, 30, 3964, 81, 891, 47, 3306, 27, 584, 588, 6400, 322, 21693, 5045, 291, 442, 5053, 36872, 950, 2065, 32, 2228, 32, 11925, 26, 5919, 30, 6492, 4370, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 322, 3849, 4880, 28033, 461, 11225, 32, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 886, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 10449, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 225, 35, 474, 310, 81, 19351, 306, 36, 27, 400, 3849, 4880, 28033, 1064, 706, 710, 12040, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 225, 35, 474, 310, 81, 19351, 306, 36, 27, 400, 3849, 4880, 11225, 291, 5881, 291, 310, 81, 9433, 280, 630, 32, 96, 81, 9433, 26, 371, 81, 6932, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 490, 584, 475, 280, 376, 708, 26, 107, 30, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 30, 353, 310, 81, 19351, 47, 784, 32, 96, 81, 19351, 27, 584, 475, 280, 2421, 81, 1322, 26, 54, 30, 310, 81, 9433, 27, 584, 11736, 30, 11225, 280, 11736, 12040, 26, 54, 27, 291, 415, 630, 32, 751, 44, 324, 11736, 280, 38111, 81, 452, 81, 1199, 26, 10449, 30, 2488, 47, 2356, 32, 1449, 27, 584, 442, 5053, 10449, 950, 11736, 32, 70, 77, 784, 32, 2875, 997, 15315, 26, 2356, 32, 1808, 37, 36, 471, 400, 330, 12040, 950, 2065, 32, 3695, 26, 12040, 32, 70, 5594, 784, 32, 2875, 997, 15315, 26, 2356, 32, 1808, 37, 36, 4370, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 322, 3849, 4880, 623, 11225, 3178, 32131, 32, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 322, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 10449, 785, 499 ]
[ 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 225, 35, 474, 310, 81, 19351, 306, 36, 27, 400, 886, 3849, 4880, 28033, 1064, 706, 710, 86, 12040, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 225, 35, 474, 310, 81, 19351, 306, 36, 27, 400, 886, 707, 21111, 11225, 3178, 2722, 291, 5881, 291, 706, 280, 2599, 26, 635, 37701, 90, 460, 7832, 30, 630, 547, 3792, 81, 7365, 26, 107, 27, 291, 706, 710, 86, 12040, 785, 280, 630, 32, 12040, 81, 4903, 26, 605, 32, 3235, 463, 12040, 2847, 291, 442, 706, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 617, 6126, 81, 1347, 380, 655, 26, 1977, 30, 6013, 6593, 35, 711, 284, 5881, 12970, 312, 663, 655, 11188, 623, 1289, 31, 380, 655, 5736, 32, 446, 8350, 284, 13510, 284, 1760, 499, 2065, 32, 16771, 291, 322, 1509, 706, 446, 6013, 499, 629, 291, 322, 6013, 7947, 1510, 372, 9789, 446, 3759, 284, 14761, 284, 1760, 81, 6126, 291, 529, 1977, 82, 20923, 810, 225, 35, 7947, 322, 3191, 529, 5082, 2541, 291, 886, 20923, 8742, 1098, 526, 225, 34, 1412, 529, 1977, 82, 438, 2979, 31, 6158, 291, 2670, 3714, 30, 461, 225, 35, 5878, 32, 284, 5881, 284, 20127, 3965, 280, 3165, 2356, 32, 1449, 26, 1977, 30, 6013, 47, 5082, 30, 4986, 12732, 47, 1815, 27, 446, 442, 2065, 32, 26442, 2009, 1977, 30, 20127, 3965, 614, 6013, 47, 5082, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 3502, 26, 784, 30, 7459, 711, 291, 5881, 2766, 663, 655, 14695, 584, 8350, 291, 13510, 291, 7459, 499, 1451, 324, 886, 3104, 308, 266, 6791, 27, 432, 322, 3502, 11188, 584, 3759, 291, 14761, 291, 23921, 499, 594, 1462, 32, 7942, 324, 399, 663, 655, 11188, 39675, 432, 312, 3982, 529, 1347, 31, 380, 655, 82, 22587, 32, 291, 5881, 291, 23921, 280, 2599, 26, 828, 655, 14989, 30, 630, 547, 2951, 26, 6932, 27, 584, 23921, 32, 1689, 26, 1003, 47, 34, 30, 4511, 7459, 47, 6932, 30, 4511, 786, 1057, 64, 370, 24462, 47, 34, 27, 584, 442, 23921, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 25206, 26, 784, 30, 663, 655, 711, 291, 5881, 35316, 1147, 312, 663, 655, 802, 2835, 372, 322, 37025, 5122, 9592, 291, 588, 14105, 328, 9561, 291, 663, 655, 280, 316, 32, 1113, 26, 100, 18010, 3424, 37143, 540, 33280, 663, 655, 27, 291, 588, 14105, 1346, 5388, 556, 11066, 4771, 273, 5783, 291, 663, 655, 280, 316, 32, 1113, 26, 100, 10255, 29548, 21194, 7243, 540, 33280, 663, 655, 27, 291, 588, 14105, 343, 43237, 499, 40871, 291, 663, 655, 280, 316, 32, 1113, 26, 100, 950, 37143, 540, 33280, 663, 655, 27, 584, 588, 28257, 322, 663, 655, 291, 3051, 30, 298, 21073, 30, 617, 280, 28525, 81, 6569, 32, 380, 655, 32, 4434, 26, 380, 655, 27, 584, 588, 5238, 322, 2467, 291, 588, 2614, 1992, 322, 5298, 4026, 298, 21073, 2835, 372, 3493, 35665, 4991, 30, 291, 588, 996, 2258, 8057, 8187, 48248, 432, 225, 36, 291, 447, 280, 225, 36, 326, 2356, 32, 16251, 26, 35, 36, 30, 9710, 47, 410, 27, 291, 2467, 280, 630, 32, 3965, 81, 549, 298, 21073, 77, 23523, 35, 997, 4260, 26, 66, 27, 584, 415, 3051, 333, 225, 34, 461, 663, 655, 77, 34, 997, 7607, 346, 610, 330, 64, 950, 324, 442, 330, 64, 25, 291, 415, 2467, 646, 328, 1910, 4443, 33026, 44, 324, 442, 330, 74, 25, 584, 442, 17246, 19189, 2473, 1643, 26, 66, 22659, 940, 77, 2388, 614, 1910, 4443, 33026, 77, 1217, 1130, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 4330, 26, 784, 30, 23921, 30, 7459, 711, 291, 5881, 4859, 600, 11188, 372, 663, 655, 31, 2142, 7328, 584, 8350, 291, 13510, 291, 23921, 499, 594, 1462, 32, 7942, 324, 886, 11188, 372, 4483, 584, 7459, 499, 1451, 848, 225, 34, 324, 886, 7459, 432, 322, 4562, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 380, 655, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 30, 310, 81, 5919, 27, 400, 399, 1133, 31, 45150, 5298, 7328, 432, 322, 663, 42869, 291, 5881, 584, 26374, 30, 2078, 280, 23921, 32, 452, 81, 7568, 81, 2810, 346, 584, 663, 42869, 280, 1605, 291, 436, 354, 328, 2078, 44, 324, 663, 42869, 32, 8233, 26, 784, 32, 13023, 32, 3792, 2009, 784, 32, 41003, 26, 104, 45917, 584, 9710, 280, 630, 32, 4151, 77, 784, 32, 3473, 463, 380, 655, 683, 997, 12010, 584, 663, 42869, 280, 2065, 32, 26742, 26, 380, 42869, 27, 584, 415, 630, 32, 15378, 44, 324, 663, 42869, 280, 663, 42869, 6894, 2065, 32, 890, 5082, 79, 584, 1760, 280, 630, 32, 4434, 81, 35158, 26, 6932, 30, 26374, 30, 663, 42869, 30, 10000, 6959, 47, 2700, 30, 9710, 47, 12010, 27, 584, 442, 5053, 380, 655, 950, 1760, 111, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 322, 390, 19260, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 886, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 10449, 785, 499, 2065, 32, 16771, 30, 6024, 280, 308, 96, 81, 9433, 30, 310, 81, 17915, 27, 400, 886, 390, 19260, 28033, 1064, 706, 710, 12040, 12132, 2065, 32, 16771, 30, 6024, 280, 11736, 32, 3229, 400, 886, 390, 19260, 11225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 225, 35, 474, 310, 81, 19351, 306, 36, 27, 400, 886, 3849, 4880, 28033, 1064, 706, 710, 86, 12040, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 225, 35, 474, 310, 81, 19351, 306, 36, 27, 400, 886, 707, 21111, 11225, 3178, 2722, 291, 5881, 291, 706, 280, 2599, 26, 635, 37701, 90, 460, 7832, 30, 630, 547, 3792, 81, 7365, 26, 107, 27, 291, 706, 710, 86, 12040, 785, 280, 630, 32, 12040, 81, 4903, 26, 605, 32, 3235, 463, 12040, 2847, 291, 442, 706, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 617, 6126, 81, 1347, 380, 655, 26, 1977, 30, 6013, 6593, 35, 711, 284, 5881, 12970, 312, 663, 655, 11188, 623, 1289, 31, 380, 655, 5736, 32, 446, 8350, 284, 13510, 284, 1760, 499, 2065, 32, 16771, 291, 322, 1509, 706, 446, 6013, 499, 629, 291, 322, 6013, 7947, 1510, 372, 9789, 446, 3759, 284, 14761, 284, 1760, 81, 6126, 291, 529, 1977, 82, 20923, 810, 225, 35, 7947, 322, 3191, 529, 5082, 2541, 291, 886, 20923, 8742, 1098, 526, 225, 34, 1412, 529, 1977, 82, 438, 2979, 31, 6158, 291, 2670, 3714, 30, 461, 225, 35, 5878, 32, 284, 5881, 284, 20127, 3965, 280, 3165, 2356, 32, 1449, 26, 1977, 30, 6013, 47, 5082, 30, 4986, 12732, 47, 1815, 27, 446, 442, 2065, 32, 26442, 2009, 1977, 30, 20127, 3965, 614, 6013, 47, 5082, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 3502, 26, 784, 30, 7459, 711, 291, 5881, 2766, 663, 655, 14695, 584, 8350, 291, 13510, 291, 7459, 499, 1451, 324, 886, 3104, 308, 266, 6791, 27, 432, 322, 3502, 11188, 584, 3759, 291, 14761, 291, 23921, 499, 594, 1462, 32, 7942, 324, 399, 663, 655, 11188, 39675, 432, 312, 3982, 529, 1347, 31, 380, 655, 82, 22587, 32, 291, 5881, 291, 23921, 280, 2599, 26, 828, 655, 14989, 30, 630, 547, 2951, 26, 6932, 27, 584, 23921, 32, 1689, 26, 1003, 47, 34, 30, 4511, 7459, 47, 6932, 30, 4511, 786, 1057, 64, 370, 24462, 47, 34, 27, 584, 442, 23921, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 25206, 26, 784, 30, 663, 655, 711, 291, 5881, 35316, 1147, 312, 663, 655, 802, 2835, 372, 322, 37025, 5122, 9592, 291, 588, 14105, 328, 9561, 291, 663, 655, 280, 316, 32, 1113, 26, 100, 18010, 3424, 37143, 540, 33280, 663, 655, 27, 291, 588, 14105, 1346, 5388, 556, 11066, 4771, 273, 5783, 291, 663, 655, 280, 316, 32, 1113, 26, 100, 10255, 29548, 21194, 7243, 540, 33280, 663, 655, 27, 291, 588, 14105, 343, 43237, 499, 40871, 291, 663, 655, 280, 316, 32, 1113, 26, 100, 950, 37143, 540, 33280, 663, 655, 27, 584, 588, 28257, 322, 663, 655, 291, 3051, 30, 298, 21073, 30, 617, 280, 28525, 81, 6569, 32, 380, 655, 32, 4434, 26, 380, 655, 27, 584, 588, 5238, 322, 2467, 291, 588, 2614, 1992, 322, 5298, 4026, 298, 21073, 2835, 372, 3493, 35665, 4991, 30, 291, 588, 996, 2258, 8057, 8187, 48248, 432, 225, 36, 291, 447, 280, 225, 36, 326, 2356, 32, 16251, 26, 35, 36, 30, 9710, 47, 410, 27, 291, 2467, 280, 630, 32, 3965, 81, 549, 298, 21073, 77, 23523, 35, 997, 4260, 26, 66, 27, 584, 415, 3051, 333, 225, 34, 461, 663, 655, 77, 34, 997, 7607, 346, 610, 330, 64, 950, 324, 442, 330, 64, 25, 291, 415, 2467, 646, 328, 1910, 4443, 33026, 44, 324, 442, 330, 74, 25, 584, 442, 17246, 19189, 2473, 1643, 26, 66, 22659, 940, 77, 2388, 614, 1910, 4443, 33026, 77, 1217, 1130, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 4330, 26, 784, 30, 23921, 30, 7459, 711, 291, 5881, 4859, 600, 11188, 372, 663, 655, 31, 2142, 7328, 584, 8350, 291, 13510, 291, 23921, 499, 594, 1462, 32, 7942, 324, 886, 11188, 372, 4483, 584, 7459, 499, 1451, 848, 225, 34, 324, 886, 7459, 432, 322, 4562, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 380, 655, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 30, 310, 81, 5919, 27, 400, 399, 1133, 31, 45150, 5298, 7328, 432, 322, 663, 42869, 291, 5881, 584, 26374, 30, 2078, 280, 23921, 32, 452, 81, 7568, 81, 2810, 346, 584, 663, 42869, 280, 1605, 291, 436, 354, 328, 2078, 44, 324, 663, 42869, 32, 8233, 26, 784, 32, 13023, 32, 3792, 2009, 784, 32, 41003, 26, 104, 45917, 584, 9710, 280, 630, 32, 4151, 77, 784, 32, 3473, 463, 380, 655, 683, 997, 12010, 584, 663, 42869, 280, 2065, 32, 26742, 26, 380, 42869, 27, 584, 415, 630, 32, 15378, 44, 324, 663, 42869, 280, 663, 42869, 6894, 2065, 32, 890, 5082, 79, 584, 1760, 280, 630, 32, 4434, 81, 35158, 26, 6932, 30, 26374, 30, 663, 42869, 30, 10000, 6959, 47, 2700, 30, 9710, 47, 12010, 27, 584, 442, 5053, 380, 655, 950, 1760, 111, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 322, 390, 19260, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 886, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 10449, 785, 499, 2065, 32, 16771, 30, 6024, 280, 308, 96, 81, 9433, 30, 310, 81, 17915, 27, 400, 886, 390, 19260, 28033, 1064, 706, 710, 12040, 12132, 2065, 32, 16771, 30, 6024, 280, 11736, 32, 3229, 400, 886, 390, 19260, 11225 ]
[ 291, 5881, 291, 310, 81, 9433, 280, 630, 32, 96, 81, 9433, 26, 371, 81, 6932, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 490, 584, 390, 280, 281, 12561, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 30, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 30, 400, 296, 887, 47, 784, 32, 88, 887, 30, 400, 310, 81, 17915, 4310, 784, 32, 96, 81, 13193, 7757, 319, 630, 32, 1498, 81, 3287, 319, 225, 35, 36, 471, 400, 22519, 81, 462, 81, 46637, 4310, 784, 32, 1498, 81, 3287, 319, 225, 35, 36, 490, 584, 390, 280, 2421, 81, 1322, 26, 53, 30, 310, 81, 9433, 27, 584, 37178, 6546, 30, 11225, 280, 11736, 12040, 26, 53, 27, 291, 415, 630, 32, 751, 44, 324, 37178, 6546, 280, 38111, 81, 452, 81, 1199, 26, 20949, 6546, 30, 2488, 47, 2356, 32, 1449, 27, 584, 442, 5053, 10449, 950, 37178, 6546, 32, 70, 32, 15315, 26, 2356, 32, 1808, 37, 36, 5594, 784, 32, 2875, 614, 400, 330, 12040, 950, 2065, 32, 3695, 26, 12040, 547, 70, 32, 15315, 26, 2356, 32, 1808, 37, 36, 5594, 784, 32, 2875, 6653, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 390, 19260, 28033, 32, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 322, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 10449, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 310, 81, 17915, 27, 400, 886, 390, 19260, 28033, 291, 5881, 291, 706, 280, 2599, 26, 20751, 9027, 481, 30, 630, 547, 3792, 81, 7365, 26, 107, 27, 291, 706, 32, 3235, 463, 12040, 683, 291, 442, 706, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 322, 390, 19260, 623, 707, 21111, 11225, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 886, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 10449, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 310, 81, 17915, 27, 400, 390, 19260, 28033, 1064, 706, 710, 86, 12040, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 310, 81, 17915, 27, 400, 1683, 21111, 11225, 3178, 2722, 291, 5881, 291, 706, 280, 2599, 26, 20751, 2328, 90, 460, 7832, 30, 630, 547, 3792, 81, 7365, 26, 107, 27, 291, 706, 710, 86, 12040, 785, 280, 630, 32, 12040, 81, 4903, 26, 605, 32, 3235, 463, 12040, 2847, 291, 442, 706, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 322, 41968, 19260, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 886, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 10449, 785, 499, 2065, 32, 16771, 30, 6024, 280, 308, 96, 81, 9433, 30, 310, 81, 17915, 30, 310, 81, 11754, 1211, 1316, 27, 400, 886, 390, 19260, 28033, 1064, 706, 710, 12040, 12132, 2065, 32, 16771, 30, 6024, 280, 11736, 32, 3229, 400, 886, 390, 19260, 11225, 291, 5881, 291, 37178, 6546, 30, 11225, 280, 5518, 1605, 584, 310, 81, 9433, 280, 630, 32, 96, 81, 9433, 26, 371, 81, 6932, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 490, 584, 436, 420, 328, 630, 32, 11754, 1211, 1316, 44, 324, 390, 280, 281, 12561, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 30, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 30, 528, 296, 887, 47, 784, 32, 88, 887, 319, 420, 30, 528, 310, 81, 17915, 4310, 784, 32, 96, 81, 13193, 7757, 319, 630, 32, 1498, 81, 3287, 319, 225, 35, 36, 471, 528, 22519, 81, 462, 81, 46637, 4310, 784, 32, 1498, 81, 3287, 319, 225, 35, 36, 490, 1064, 390, 280, 2421, 81, 1322, 26, 53, 30, 310, 81, 9433, 27, 1064, 390, 30, 447, 280, 11736, 12040, 26, 53, 27, 324, 415, 630, 32, 751, 44, 400, 390, 280, 38111, 81, 452, 81, 1199, 26, 53, 30, 2488, 47, 2356, 32, 1449, 27, 324, 37178, 6546, 32, 1689, 26, 53, 27, 324, 11225, 32, 1689, 26, 66, 27, 584, 37178, 6546, 280, 2065, 32, 26742, 26, 20949, 6546, 547, 15315, 26, 2356, 32, 1808, 37, 36, 27, 291, 11225, 280, 2065, 32, 3695, 26, 2356, 32, 26742, 26, 12040, 3427, 15315, 26, 2356, 32, 1808, 37, 36, 27, 584, 442, 5053, 10449, 950, 630, 1114, 1055, 26, 20949, 6546, 471, 400, 330, 12040, 950, 630, 1114, 1055, 26, 12040, 4370, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 617, 1055, 26, 784, 30, 786, 711, 291, 5881, 435, 32414, 312, 8482, 9267, 372, 322, 26829, 2926, 584, 4237, 438, 20968, 372, 526, 328, 308, 8147, 30, 22519, 30, 1133, 27, 2179, 32, 291, 5881, 584, 415, 630, 32, 6081, 328, 2726, 8147, 81, 2135, 370, 330, 4213, 7831, 324, 442, 2065, 32, 16547, 26, 853, 30, 308, 36, 30, 225, 35, 30, 225, 34, 490, 584, 813, 44, 225, 588, 630, 32, 6081, 328, 2726, 8147, 81, 2232, 370, 330, 349, 683, 324, 442, 2065, 32, 16547, 26, 853, 30, 308, 34, 30, 225, 36, 30, 225, 35, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 41968, 19260, 28033, 32, 584, 8350 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 291, 5881, 291, 310, 81, 9433, 280, 630, 32, 96, 81, 9433, 26, 371, 81, 6932, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 490, 584, 390, 280, 281, 12561, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 30, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 30, 400, 296, 887, 47, 784, 32, 88, 887, 30, 400, 310, 81, 17915, 4310, 784, 32, 96, 81, 13193, 7757, 319, 630, 32, 1498, 81, 3287, 319, 225, 35, 36, 471, 400, 22519, 81, 462, 81, 46637, 4310, 784, 32, 1498, 81, 3287, 319, 225, 35, 36, 490, 584, 390, 280, 2421, 81, 1322, 26, 53, 30, 310, 81, 9433, 27, 584, 37178, 6546, 30, 11225, 280, 11736, 12040, 26, 53, 27, 291, 415, 630, 32, 751, 44, 324, 37178, 6546, 280, 38111, 81, 452, 81, 1199, 26, 20949, 6546, 30, 2488, 47, 2356, 32, 1449, 27, 584, 442, 5053, 10449, 950, 37178, 6546, 32, 70, 32, 15315, 26, 2356, 32, 1808, 37, 36, 5594, 784, 32, 2875, 614, 400, 330, 12040, 950, 2065, 32, 3695, 26, 12040, 547, 70, 32, 15315, 26, 2356, 32, 1808, 37, 36, 5594, 784, 32, 2875, 6653, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 390, 19260, 28033, 32, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 322, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 10449, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 310, 81, 17915, 27, 400, 886, 390, 19260, 28033, 291, 5881, 291, 706, 280, 2599, 26, 20751, 9027, 481, 30, 630, 547, 3792, 81, 7365, 26, 107, 27, 291, 706, 32, 3235, 463, 12040, 683, 291, 442, 706, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 322, 390, 19260, 623, 707, 21111, 11225, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 886, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 10449, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 310, 81, 17915, 27, 400, 390, 19260, 28033, 1064, 706, 710, 86, 12040, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 310, 81, 17915, 27, 400, 1683, 21111, 11225, 3178, 2722, 291, 5881, 291, 706, 280, 2599, 26, 20751, 2328, 90, 460, 7832, 30, 630, 547, 3792, 81, 7365, 26, 107, 27, 291, 706, 710, 86, 12040, 785, 280, 630, 32, 12040, 81, 4903, 26, 605, 32, 3235, 463, 12040, 2847, 291, 442, 706, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 322, 41968, 19260, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 886, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 10449, 785, 499, 2065, 32, 16771, 30, 6024, 280, 308, 96, 81, 9433, 30, 310, 81, 17915, 30, 310, 81, 11754, 1211, 1316, 27, 400, 886, 390, 19260, 28033, 1064, 706, 710, 12040, 12132, 2065, 32, 16771, 30, 6024, 280, 11736, 32, 3229, 400, 886, 390, 19260, 11225, 291, 5881, 291, 37178, 6546, 30, 11225, 280, 5518, 1605, 584, 310, 81, 9433, 280, 630, 32, 96, 81, 9433, 26, 371, 81, 6932, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 490, 584, 436, 420, 328, 630, 32, 11754, 1211, 1316, 44, 324, 390, 280, 281, 12561, 26, 107, 47, 107, 30, 17295, 47, 784, 32, 6858, 30, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 30, 528, 296, 887, 47, 784, 32, 88, 887, 319, 420, 30, 528, 310, 81, 17915, 4310, 784, 32, 96, 81, 13193, 7757, 319, 630, 32, 1498, 81, 3287, 319, 225, 35, 36, 471, 528, 22519, 81, 462, 81, 46637, 4310, 784, 32, 1498, 81, 3287, 319, 225, 35, 36, 490, 1064, 390, 280, 2421, 81, 1322, 26, 53, 30, 310, 81, 9433, 27, 1064, 390, 30, 447, 280, 11736, 12040, 26, 53, 27, 324, 415, 630, 32, 751, 44, 400, 390, 280, 38111, 81, 452, 81, 1199, 26, 53, 30, 2488, 47, 2356, 32, 1449, 27, 324, 37178, 6546, 32, 1689, 26, 53, 27, 324, 11225, 32, 1689, 26, 66, 27, 584, 37178, 6546, 280, 2065, 32, 26742, 26, 20949, 6546, 547, 15315, 26, 2356, 32, 1808, 37, 36, 27, 291, 11225, 280, 2065, 32, 3695, 26, 2356, 32, 26742, 26, 12040, 3427, 15315, 26, 2356, 32, 1808, 37, 36, 27, 584, 442, 5053, 10449, 950, 630, 1114, 1055, 26, 20949, 6546, 471, 400, 330, 12040, 950, 630, 1114, 1055, 26, 12040, 4370, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 617, 1055, 26, 784, 30, 786, 711, 291, 5881, 435, 32414, 312, 8482, 9267, 372, 322, 26829, 2926, 584, 4237, 438, 20968, 372, 526, 328, 308, 8147, 30, 22519, 30, 1133, 27, 2179, 32, 291, 5881, 584, 415, 630, 32, 6081, 328, 2726, 8147, 81, 2135, 370, 330, 4213, 7831, 324, 442, 2065, 32, 16547, 26, 853, 30, 308, 36, 30, 225, 35, 30, 225, 34, 490, 584, 813, 44, 225, 588, 630, 32, 6081, 328, 2726, 8147, 81, 2232, 370, 330, 349, 683, 324, 442, 2065, 32, 16547, 26, 853, 30, 308, 34, 30, 225, 36, 30, 225, 35, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 41968, 19260, 28033, 32, 584, 8350 ]
[ 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 322, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 10449, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 310, 81, 17915, 27, 400, 886, 390, 19260, 28033, 291, 5881, 291, 706, 280, 2599, 26, 15364, 67, 9027, 481, 30, 630, 547, 3792, 81, 7365, 26, 107, 27, 291, 706, 32, 3235, 463, 12040, 683, 291, 442, 706, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 322, 41968, 19260, 623, 707, 21111, 11225, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 886, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 10449, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 310, 81, 17915, 27, 400, 390, 19260, 28033, 1064, 706, 710, 86, 12040, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 310, 81, 17915, 27, 400, 1683, 21111, 11225, 3178, 2722, 291, 5881, 291, 706, 280, 2599, 26, 15364, 67, 2328, 90, 460, 7832, 30, 630, 547, 3792, 81, 7365, 26, 107, 27, 291, 706, 710, 86, 12040, 785, 280, 630, 32, 12040, 81, 4903, 26, 605, 32, 3235, 463, 12040, 2847, 291, 442, 706, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 5318, 81, 853, 26, 12010, 711, 284, 5881, 936, 312, 5318, 31, 853, 436, 312, 2702, 9710, 446, 8350, 284, 13510, 284, 9710, 499, 827, 446, 3759, 284, 14761, 284, 529, 2356, 32, 10095, 82, 415, 529, 12010, 82, 438, 4011, 556, 8640, 8062, 34, 5878, 284, 5881, 284, 415, 2065, 32, 297, 1113, 12010, 26, 12010, 30, 2065, 32, 20707, 27, 556, 2065, 32, 297, 1113, 12010, 26, 12010, 30, 2065, 32, 11476, 20707, 711, 291, 442, 9710, 26, 2356, 32, 10095, 27, 446, 442, 9710, 26, 34, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 3502, 26, 784, 30, 7459, 711, 291, 5881, 1922, 600, 3502, 594, 1462, 32, 7942, 436, 458, 2899, 32, 584, 1348, 1411, 1395, 526, 26625, 810, 12005, 6015, 32, 584, 8350, 291, 13510, 291, 7459, 499, 629, 2377, 225, 34, 324, 16685, 432, 322, 11188, 291, 5881, 291, 442, 594, 1462, 32, 7942, 26, 2011, 47, 784, 32, 2011, 30, 1133, 47, 34, 30, 7459, 47, 34, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 26, 784, 30, 594, 404, 30, 2467, 47, 2521, 711, 291, 5881, 4859, 594, 404, 1300, 372, 1930, 706, 436, 458, 2899, 584, 8350, 291, 13510, 291, 594, 404, 499, 594, 1462, 32, 60, 40226, 324, 886, 594, 1462, 3851, 1300, 584, 2467, 499, 802, 30, 5436, 30, 556, 20695, 428, 5301, 79, 324, 2244, 5302, 2467, 372, 32820, 322, 4702, 432, 529, 20813, 32, 8830, 82, 324, 372, 526, 11870, 32, 1064, 1670, 646, 3943, 30, 1169, 14695, 884, 11870, 32, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 399, 9473, 432, 21634, 14695, 32, 324, 3367, 14695, 1510, 883, 526, 12785, 372, 322, 1760, 3583, 324, 1098, 526, 12785, 32, 291, 5881, 291, 600, 2425, 280, 1605, 291, 415, 2467, 44, 324, 3276, 280, 594, 404, 32, 1903, 14605, 1217, 27, 291, 813, 44, 324, 3276, 280, 594, 404, 32, 8830, 584, 588, 7477, 14695, 688, 883, 526, 2098, 265, 3870, 372, 2992, 1760, 3583, 291, 436, 23921, 328, 3276, 44, 324, 1596, 44, 400, 600, 2425, 32, 1689, 26, 92, 1462, 32, 2425, 5954, 32, 5954, 26, 1020, 30, 630, 32, 2011, 490, 324, 2940, 594, 1462, 32, 5916, 924, 44, 400, 3097, 584, 7459, 280, 594, 404, 32, 761, 81, 4519, 32, 6932, 584, 588, 1670, 4909, 30, 1930, 312, 11152, 1591, 291, 415, 646, 600, 2425, 44, 324, 600, 2425, 280, 428, 784, 32, 2951, 26, 6932, 2177, 584, 588, 14848, 34816, 291, 3276, 280, 1605, 291, 436, 23921, 328, 600, 2425, 44, 1064, 3276, 32, 1689, 26, 784, 32, 3792, 81, 4330, 26, 1020, 30, 7459, 490, 324, 588, 1670, 322, 11188, 2155, 438, 1665, 30, 561, 34157, 322, 9449, 4562, 324, 415, 23921, 32, 1003, 438, 1665, 556, 23921, 32, 6932, 438, 1665, 44, 400, 2080, 280, 428, 34, 30, 7459, 79, 324, 813, 44, 400, 2080, 280, 428, 1020, 32, 1003, 30, 23921, 32, 1003, 474, 23921, 32, 6932, 79, 1064, 3276, 6448, 35, 5795, 81, 1327, 785, 280, 1133, 81, 452, 81, 9433, 26, 1327, 30, 17295, 47, 784, 32, 6858, 30, 17739, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 27, 584, 588, 28757, 461, 7901, 291, 442, 630, 32, 6077, 26, 4295, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 9336, 81, 5057, 26, 784, 30, 7459, 30, 5216, 30, 2078, 30, 9710, 47, 2356, 32, 2420, 711, 291, 5881, 10807, 30429, 5216, 619, 312, 1133, 31, 8442, 5045, 32, 584, 8350, 291, 13510, 291, 7459, 499, 1451, 324, 886, 7459, 432, 322, 4562, 584, 5216, 499, 34593, 30, 6024, 4310, 96, 21713, 324, 3717, 1650, 432, 322, 5216, 584, 2078, 499, 34593, 30, 6024, 4310, 96, 30, 345, 27, 324, 14614, 1417, 32, 225, 15622, 1159, 322, 2432, 1932, 1650, 619, 529, 5057, 2541, 584, 9710, 499, 6436, 706, 827, 584, 3759, 291, 14761, 291, 1760, 499, 34593, 30, 6024, 4310, 96, 81, 9433, 30, 310, 81, 2810, 27, 291, 5881, 584, 12872, 280, 1133, 81, 452, 81, 9433, 26, 5057, 30, 17295, 47, 784, 32, 6858, 30, 1378, 23592, 81, 1322, 47, 784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 322, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 10449, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 310, 81, 17915, 27, 400, 886, 390, 19260, 28033, 291, 5881, 291, 706, 280, 2599, 26, 15364, 67, 9027, 481, 30, 630, 547, 3792, 81, 7365, 26, 107, 27, 291, 706, 32, 3235, 463, 12040, 683, 291, 442, 706, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 81, 7365, 26, 784, 30, 533, 711, 291, 5881, 12375, 322, 41968, 19260, 623, 707, 21111, 11225, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 886, 9025, 3112, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 706, 710, 10449, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 310, 81, 17915, 27, 400, 390, 19260, 28033, 1064, 706, 710, 86, 12040, 785, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 81, 9433, 30, 310, 81, 17915, 27, 400, 1683, 21111, 11225, 3178, 2722, 291, 5881, 291, 706, 280, 2599, 26, 15364, 67, 2328, 90, 460, 7832, 30, 630, 547, 3792, 81, 7365, 26, 107, 27, 291, 706, 710, 86, 12040, 785, 280, 630, 32, 12040, 81, 4903, 26, 605, 32, 3235, 463, 12040, 2847, 291, 442, 706, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 5318, 81, 853, 26, 12010, 711, 284, 5881, 936, 312, 5318, 31, 853, 436, 312, 2702, 9710, 446, 8350, 284, 13510, 284, 9710, 499, 827, 446, 3759, 284, 14761, 284, 529, 2356, 32, 10095, 82, 415, 529, 12010, 82, 438, 4011, 556, 8640, 8062, 34, 5878, 284, 5881, 284, 415, 2065, 32, 297, 1113, 12010, 26, 12010, 30, 2065, 32, 20707, 27, 556, 2065, 32, 297, 1113, 12010, 26, 12010, 30, 2065, 32, 11476, 20707, 711, 291, 442, 9710, 26, 2356, 32, 10095, 27, 446, 442, 9710, 26, 34, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 3502, 26, 784, 30, 7459, 711, 291, 5881, 1922, 600, 3502, 594, 1462, 32, 7942, 436, 458, 2899, 32, 584, 1348, 1411, 1395, 526, 26625, 810, 12005, 6015, 32, 584, 8350, 291, 13510, 291, 7459, 499, 629, 2377, 225, 34, 324, 16685, 432, 322, 11188, 291, 5881, 291, 442, 594, 1462, 32, 7942, 26, 2011, 47, 784, 32, 2011, 30, 1133, 47, 34, 30, 7459, 47, 34, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 26, 784, 30, 594, 404, 30, 2467, 47, 2521, 711, 291, 5881, 4859, 594, 404, 1300, 372, 1930, 706, 436, 458, 2899, 584, 8350, 291, 13510, 291, 594, 404, 499, 594, 1462, 32, 60, 40226, 324, 886, 594, 1462, 3851, 1300, 584, 2467, 499, 802, 30, 5436, 30, 556, 20695, 428, 5301, 79, 324, 2244, 5302, 2467, 372, 32820, 322, 4702, 432, 529, 20813, 32, 8830, 82, 324, 372, 526, 11870, 32, 1064, 1670, 646, 3943, 30, 1169, 14695, 884, 11870, 32, 584, 3759, 291, 14761, 291, 706, 499, 5436, 324, 399, 9473, 432, 21634, 14695, 32, 324, 3367, 14695, 1510, 883, 526, 12785, 372, 322, 1760, 3583, 324, 1098, 526, 12785, 32, 291, 5881, 291, 600, 2425, 280, 1605, 291, 415, 2467, 44, 324, 3276, 280, 594, 404, 32, 1903, 14605, 1217, 27, 291, 813, 44, 324, 3276, 280, 594, 404, 32, 8830, 584, 588, 7477, 14695, 688, 883, 526, 2098, 265, 3870, 372, 2992, 1760, 3583, 291, 436, 23921, 328, 3276, 44, 324, 1596, 44, 400, 600, 2425, 32, 1689, 26, 92, 1462, 32, 2425, 5954, 32, 5954, 26, 1020, 30, 630, 32, 2011, 490, 324, 2940, 594, 1462, 32, 5916, 924, 44, 400, 3097, 584, 7459, 280, 594, 404, 32, 761, 81, 4519, 32, 6932, 584, 588, 1670, 4909, 30, 1930, 312, 11152, 1591, 291, 415, 646, 600, 2425, 44, 324, 600, 2425, 280, 428, 784, 32, 2951, 26, 6932, 2177, 584, 588, 14848, 34816, 291, 3276, 280, 1605, 291, 436, 23921, 328, 600, 2425, 44, 1064, 3276, 32, 1689, 26, 784, 32, 3792, 81, 4330, 26, 1020, 30, 7459, 490, 324, 588, 1670, 322, 11188, 2155, 438, 1665, 30, 561, 34157, 322, 9449, 4562, 324, 415, 23921, 32, 1003, 438, 1665, 556, 23921, 32, 6932, 438, 1665, 44, 400, 2080, 280, 428, 34, 30, 7459, 79, 324, 813, 44, 400, 2080, 280, 428, 1020, 32, 1003, 30, 23921, 32, 1003, 474, 23921, 32, 6932, 79, 1064, 3276, 6448, 35, 5795, 81, 1327, 785, 280, 1133, 81, 452, 81, 9433, 26, 1327, 30, 17295, 47, 784, 32, 6858, 30, 17739, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 27, 584, 588, 28757, 461, 7901, 291, 442, 630, 32, 6077, 26, 4295, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 9336, 81, 5057, 26, 784, 30, 7459, 30, 5216, 30, 2078, 30, 9710, 47, 2356, 32, 2420, 711, 291, 5881, 10807, 30429, 5216, 619, 312, 1133, 31, 8442, 5045, 32, 584, 8350, 291, 13510, 291, 7459, 499, 1451, 324, 886, 7459, 432, 322, 4562, 584, 5216, 499, 34593, 30, 6024, 4310, 96, 21713, 324, 3717, 1650, 432, 322, 5216, 584, 2078, 499, 34593, 30, 6024, 4310, 96, 30, 345, 27, 324, 14614, 1417, 32, 225, 15622, 1159, 322, 2432, 1932, 1650, 619, 529, 5057, 2541, 584, 9710, 499, 6436, 706, 827, 584, 3759, 291, 14761, 291, 1760, 499, 34593, 30, 6024, 4310, 96, 81, 9433, 30, 310, 81, 2810, 27, 291, 5881, 584, 12872, 280, 1133, 81, 452, 81, 9433, 26, 5057, 30, 17295, 47, 784, 32, 6858, 30, 1378, 23592, 81, 1322, 47, 784 ]
[ 32, 18994, 81, 1322, 27, 584, 310, 81, 2999, 280, 629, 26, 1003, 81, 452, 81, 9433, 26, 6932, 30, 17295, 47, 784, 32, 6858, 30, 9474, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 490, 584, 310, 81, 3558, 280, 310, 81, 2999, 291, 415, 2065, 32, 1813, 26, 9433, 711, 324, 310, 81, 3558, 280, 1769, 26, 96, 81, 2999, 30, 225, 35, 474, 629, 26, 9433, 32, 1449, 5156, 584, 1760, 280, 2065, 32, 2951, 1162, 96, 81, 3558, 30, 2078, 32, 3229, 77, 35, 5727, 3775, 9710, 47, 12010, 27, 584, 1760, 32, 4157, 26, 4157, 81, 853, 26, 12010, 490, 291, 2078, 280, 2078, 32, 15315, 26, 12010, 27, 291, 436, 2623, 30, 1692, 328, 8529, 26, 2810, 30, 12872, 711, 324, 1760, 77, 1567, 79, 1454, 2623, 584, 442, 1760, 2867, 96, 81, 2999, 79, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 9336, 81, 35158, 26, 784, 30, 7459, 30, 26374, 30, 2078, 30, 9710, 47, 2356, 32, 2420, 30, 656, 6959, 47, 1815, 30, 5318, 47, 2521, 711, 291, 5881, 10807, 30429, 26374, 619, 312, 1133, 31, 8442, 5045, 32, 584, 8350, 291, 13510, 291, 7459, 499, 1451, 324, 886, 7459, 308, 266, 12872, 27, 432, 322, 4562, 584, 26374, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 30, 225, 36, 27, 324, 886, 1149, 432, 26374, 584, 2078, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 30, 345, 27, 324, 886, 308, 12596, 27, 2078, 8435, 372, 2504, 7898, 584, 9710, 499, 2065, 32, 12010, 324, 886, 10848, 1688, 827, 584, 6959, 499, 1560, 324, 1670, 529, 1815, 1801, 2608, 4609, 6492, 1292, 7898, 32, 584, 5318, 499, 9710, 308, 5301, 27, 324, 5648, 1244, 5318, 786, 436, 5816, 706, 32, 1064, 1670, 646, 3943, 30, 322, 1244, 438, 43134, 645, 529, 12010, 2541, 584, 3759, 291, 14761, 291, 1760, 499, 2065, 32, 16771, 30, 6024, 4310, 6932, 319, 17295, 517, 23592, 81, 1322, 30, 345, 27, 324, 886, 30429, 7898, 7328, 30, 35313, 821, 322, 10848, 3118, 7692, 291, 5881, 291, 415, 5318, 438, 1665, 44, 324, 5318, 280, 5318, 81, 853, 26, 12010, 27, 584, 12872, 280, 1133, 81, 452, 81, 9433, 26, 35158, 30, 17295, 47, 784, 32, 6858, 30, 1378, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 27, 584, 310, 81, 2999, 280, 629, 26, 1003, 81, 452, 81, 9433, 26, 6932, 30, 17295, 47, 784, 32, 6858, 30, 9474, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 490, 584, 2078, 280, 2078, 32, 15315, 26, 12010, 27, 584, 310, 81, 3558, 280, 310, 81, 2999, 291, 415, 2065, 32, 1813, 26, 9433, 711, 324, 310, 81, 3558, 280, 1769, 26, 96, 81, 2999, 30, 225, 35, 474, 629, 26, 9433, 32, 1449, 5156, 584, 1760, 280, 2065, 32, 2951, 1162, 96, 81, 3558, 30, 2078, 32, 3229, 77, 35, 5727, 203, 3775, 9710, 47, 12010, 27, 584, 1760, 32, 4157, 26, 4157, 27, 584, 436, 2623, 30, 7898, 328, 8529, 26, 2810, 30, 12872, 711, 324, 415, 6959, 44, 400, 1760, 77, 7568, 77, 34, 2786, 7568, 77, 35, 3212, 1454, 2623, 324, 813, 44, 400, 1760, 77, 7568, 77, 34, 2786, 7568, 77, 35, 3212, 280, 2623, 584, 442, 1760, 2867, 96, 81, 2999, 79, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 26, 784, 30, 533, 30, 17295, 711, 291, 5881, 4859, 600, 9025, 7060, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 886, 9025, 7060, 584, 17295, 499, 1451, 848, 225, 34, 324, 886, 7555, 20598, 7692, 432, 533, 584, 3759, 291, 14761, 291, 5436, 324, 2398, 9473, 6621, 5359, 20037, 645, 533, 584, 2802, 8669, 291, 24618, 291, 4522, 81, 7365, 291, 5881, 291, 415, 17295, 863, 630, 32, 6858, 44, 324, 533, 280, 736, 969, 26, 107, 30, 17295, 30, 630, 32, 6858, 27, 584, 442, 630, 32, 6077, 2009, 784, 32, 3792, 81, 7365, 26, 107, 14829, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 11225, 81, 4903, 26, 784, 30, 11225, 711, 291, 5881, 12375, 322, 11225, 3178, 2722, 7947, 312, 2702, 6013, 584, 8350, 291, 13510, 291, 11225, 499, 2065, 32, 16771, 324, 4237, 11225, 308, 266, 35538, 27, 584, 3759, 291, 14761, 291, 343, 12040, 499, 2065, 32, 16771, 2124, 529, 12040, 82, 324, 886, 11225, 3178, 2722, 32, 291, 5881, 584, 415, 630, 32, 6081, 438, 1665, 44, 324, 6013, 280, 225, 34, 291, 4348, 630, 32, 6081, 328, 2726, 8147, 81, 2135, 370, 330, 4213, 7831, 324, 6013, 280, 225, 34, 291, 4348, 630, 32, 6081, 328, 2726, 8147, 81, 2232, 370, 330, 349, 7831, 324, 6013, 280, 225, 35, 584, 588, 12836, 322, 11225, 3178, 2722, 291, 343, 12040, 280, 2065, 32, 2951, 26, 12040, 32, 3229, 30, 9710, 47, 12040, 32, 12010, 27, 291, 5934, 81, 2875, 280, 428, 6099, 26, 2521, 2177, 319, 11225, 32, 29704, 291, 5934, 81, 2875, 77, 5082, 79, 280, 11494, 26, 35, 27, 291, 813, 81, 2875, 280, 428, 6099, 26, 2521, 2177, 319, 11225, 32, 29704, 291, 813, 81, 2875, 77, 5082, 79, 280, 11494, 26, 35, 30, 1665, 27, 291, 5934, 81, 2875, 280, 8825, 26, 6158, 81, 2875, 27, 291, 813, 81, 2875, 280, 8825, 26, 1824, 81, 2875, 27, 291, 343, 12040, 77, 6158, 81, 2875, 79, 280, 11225, 77, 6158, 81, 2875, 79, 291, 343, 12040, 77, 1824, 81, 2875, 79, 280, 2065, 32, 4903, 26, 2356, 32, 7513, 26, 12040, 30, 6013, 47, 5082, 471, 6013, 47, 5082, 27, 291, 442, 343, 12040, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 32, 18994, 81, 1322, 27, 584, 310, 81, 2999, 280, 629, 26, 1003, 81, 452, 81, 9433, 26, 6932, 30, 17295, 47, 784, 32, 6858, 30, 9474, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 490, 584, 310, 81, 3558, 280, 310, 81, 2999, 291, 415, 2065, 32, 1813, 26, 9433, 711, 324, 310, 81, 3558, 280, 1769, 26, 96, 81, 2999, 30, 225, 35, 474, 629, 26, 9433, 32, 1449, 5156, 584, 1760, 280, 2065, 32, 2951, 1162, 96, 81, 3558, 30, 2078, 32, 3229, 77, 35, 5727, 3775, 9710, 47, 12010, 27, 584, 1760, 32, 4157, 26, 4157, 81, 853, 26, 12010, 490, 291, 2078, 280, 2078, 32, 15315, 26, 12010, 27, 291, 436, 2623, 30, 1692, 328, 8529, 26, 2810, 30, 12872, 711, 324, 1760, 77, 1567, 79, 1454, 2623, 584, 442, 1760, 2867, 96, 81, 2999, 79, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 9336, 81, 35158, 26, 784, 30, 7459, 30, 26374, 30, 2078, 30, 9710, 47, 2356, 32, 2420, 30, 656, 6959, 47, 1815, 30, 5318, 47, 2521, 711, 291, 5881, 10807, 30429, 26374, 619, 312, 1133, 31, 8442, 5045, 32, 584, 8350, 291, 13510, 291, 7459, 499, 1451, 324, 886, 7459, 308, 266, 12872, 27, 432, 322, 4562, 584, 26374, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 30, 225, 36, 27, 324, 886, 1149, 432, 26374, 584, 2078, 499, 2065, 32, 16771, 30, 6024, 4310, 96, 30, 345, 27, 324, 886, 308, 12596, 27, 2078, 8435, 372, 2504, 7898, 584, 9710, 499, 2065, 32, 12010, 324, 886, 10848, 1688, 827, 584, 6959, 499, 1560, 324, 1670, 529, 1815, 1801, 2608, 4609, 6492, 1292, 7898, 32, 584, 5318, 499, 9710, 308, 5301, 27, 324, 5648, 1244, 5318, 786, 436, 5816, 706, 32, 1064, 1670, 646, 3943, 30, 322, 1244, 438, 43134, 645, 529, 12010, 2541, 584, 3759, 291, 14761, 291, 1760, 499, 2065, 32, 16771, 30, 6024, 4310, 6932, 319, 17295, 517, 23592, 81, 1322, 30, 345, 27, 324, 886, 30429, 7898, 7328, 30, 35313, 821, 322, 10848, 3118, 7692, 291, 5881, 291, 415, 5318, 438, 1665, 44, 324, 5318, 280, 5318, 81, 853, 26, 12010, 27, 584, 12872, 280, 1133, 81, 452, 81, 9433, 26, 35158, 30, 17295, 47, 784, 32, 6858, 30, 1378, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 27, 584, 310, 81, 2999, 280, 629, 26, 1003, 81, 452, 81, 9433, 26, 6932, 30, 17295, 47, 784, 32, 6858, 30, 9474, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 490, 584, 2078, 280, 2078, 32, 15315, 26, 12010, 27, 584, 310, 81, 3558, 280, 310, 81, 2999, 291, 415, 2065, 32, 1813, 26, 9433, 711, 324, 310, 81, 3558, 280, 1769, 26, 96, 81, 2999, 30, 225, 35, 474, 629, 26, 9433, 32, 1449, 5156, 584, 1760, 280, 2065, 32, 2951, 1162, 96, 81, 3558, 30, 2078, 32, 3229, 77, 35, 5727, 203, 3775, 9710, 47, 12010, 27, 584, 1760, 32, 4157, 26, 4157, 27, 584, 436, 2623, 30, 7898, 328, 8529, 26, 2810, 30, 12872, 711, 324, 415, 6959, 44, 400, 1760, 77, 7568, 77, 34, 2786, 7568, 77, 35, 3212, 1454, 2623, 324, 813, 44, 400, 1760, 77, 7568, 77, 34, 2786, 7568, 77, 35, 3212, 280, 2623, 584, 442, 1760, 2867, 96, 81, 2999, 79, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4522, 26, 784, 30, 533, 30, 17295, 711, 291, 5881, 4859, 600, 9025, 7060, 584, 8350, 291, 13510, 291, 533, 499, 2065, 32, 16771, 324, 886, 9025, 7060, 584, 17295, 499, 1451, 848, 225, 34, 324, 886, 7555, 20598, 7692, 432, 533, 584, 3759, 291, 14761, 291, 5436, 324, 2398, 9473, 6621, 5359, 20037, 645, 533, 584, 2802, 8669, 291, 24618, 291, 4522, 81, 7365, 291, 5881, 291, 415, 17295, 863, 630, 32, 6858, 44, 324, 533, 280, 736, 969, 26, 107, 30, 17295, 30, 630, 32, 6858, 27, 584, 442, 630, 32, 6077, 2009, 784, 32, 3792, 81, 7365, 26, 107, 14829, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 11225, 81, 4903, 26, 784, 30, 11225, 711, 291, 5881, 12375, 322, 11225, 3178, 2722, 7947, 312, 2702, 6013, 584, 8350, 291, 13510, 291, 11225, 499, 2065, 32, 16771, 324, 4237, 11225, 308, 266, 35538, 27, 584, 3759, 291, 14761, 291, 343, 12040, 499, 2065, 32, 16771, 2124, 529, 12040, 82, 324, 886, 11225, 3178, 2722, 32, 291, 5881, 584, 415, 630, 32, 6081, 438, 1665, 44, 324, 6013, 280, 225, 34, 291, 4348, 630, 32, 6081, 328, 2726, 8147, 81, 2135, 370, 330, 4213, 7831, 324, 6013, 280, 225, 34, 291, 4348, 630, 32, 6081, 328, 2726, 8147, 81, 2232, 370, 330, 349, 7831, 324, 6013, 280, 225, 35, 584, 588, 12836, 322, 11225, 3178, 2722, 291, 343, 12040, 280, 2065, 32, 2951, 26, 12040, 32, 3229, 30, 9710, 47, 12040, 32, 12010, 27, 291, 5934, 81, 2875, 280, 428, 6099, 26, 2521, 2177, 319, 11225, 32, 29704, 291, 5934, 81, 2875, 77, 5082, 79, 280, 11494, 26, 35, 27, 291, 813, 81, 2875, 280, 428, 6099, 26, 2521, 2177, 319, 11225, 32, 29704, 291, 813, 81, 2875, 77, 5082, 79, 280, 11494, 26, 35, 30, 1665, 27, 291, 5934, 81, 2875, 280, 8825, 26, 6158, 81, 2875, 27, 291, 813, 81, 2875, 280, 8825, 26, 1824, 81, 2875, 27, 291, 343, 12040, 77, 6158, 81, 2875, 79, 280, 11225, 77, 6158, 81, 2875, 79, 291, 343, 12040, 77, 1824, 81, 2875, 79, 280, 2065, 32, 4903, 26, 2356, 32, 7513, 26, 12040, 30, 6013, 47, 5082, 471, 6013, 47, 5082, 27, 291, 442, 343, 12040, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589 ]
[ 11583, 26, 784, 711, 291, 5881, 13614, 48453, 1509, 11583, 436, 322, 2702, 26612, 584, 3759, 291, 14761, 291, 11583, 499, 301, 1495, 44, 20211, 32, 8216, 32, 1612, 111, 324, 399, 9473, 432, 20211, 1509, 11583, 30, 1202, 318, 810, 322, 8435, 324, 1600, 5036, 32, 291, 5881, 291, 645, 20211, 32, 8216, 1188, 4237, 584, 498, 280, 5436, 346, 291, 436, 1202, 328, 630, 32, 4151, 44, 324, 498, 77, 678, 79, 280, 4237, 26, 426, 47, 678, 30, 6029, 6024, 47, 784, 32, 4151, 77, 678, 997, 3229, 30, 6029, 9710, 47, 784, 32, 4151, 77, 678, 997, 12010, 27, 584, 442, 498, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 310, 81, 9433, 26, 784, 30, 7459, 711, 291, 5881, 936, 322, 1451, 432, 12872, 436, 312, 2702, 7459, 584, 8350, 291, 13510, 291, 7459, 499, 1451, 2377, 225, 34, 324, 886, 7459, 30, 328, 6791, 584, 3759, 291, 14761, 291, 310, 81, 9433, 499, 629, 2377, 225, 34, 324, 886, 1451, 432, 12872, 821, 458, 40691, 1182, 20598, 7692, 461, 324, 23592, 3104, 291, 5881, 584, 442, 629, 26, 1003, 81, 452, 81, 9433, 26, 6932, 30, 17295, 47, 784, 32, 6858, 30, 6619, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2604, 26, 1436, 711, 203, 588, 827, 44, 1404, 967, 1665, 1524, 9130, 322, 1550, 4583, 623, 322, 1550, 1503, 32, 1524, 446, 3621, 81, 424, 280, 39528, 32, 1700, 346, 284, 1474, 280, 1474, 556, 330, 104, 2537, 3621, 2473, 1643, 26, 3779, 81, 424, 27, 446, 623, 3570, 32, 20490, 81, 11030, 81, 1515, 2262, 291, 1245, 32, 1338, 440, 16608, 3621, 2604, 657, 291, 5554, 32, 2142, 26, 324, 4081, 47, 2912, 32, 5323, 81, 3375, 922, 2116, 30, 324, 636, 1057, 104, 34917, 1643, 26, 3779, 81, 424, 471, 324, 1474, 47, 1436, 30, 291, 829, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 18376, 26, 10444, 30, 7116, 81, 311, 28220, 30, 4583, 81, 2585, 711, 203, 588, 827, 44, 308, 720, 77, 466, 614, 1560, 30, 1560, 27, 967, 1665, 1524, 498, 410, 4262, 2276, 32, 10460, 44, 11246, 308, 668, 77, 466, 10794, 203, 399, 1149, 432, 12460, 802, 15103, 372, 894, 8187, 32, 1670, 322, 803, 33, 983, 8001, 1346, 432, 5521, 8402, 5725, 30, 561, 1098, 526, 13996, 963, 32, 7116, 81, 311, 28220, 308, 2420, 711, 203, 1670, 739, 372, 1115, 1815, 326, 561, 1098, 7116, 1169, 2276, 646, 29728, 810, 5554, 32, 4583, 81, 2585, 308, 2420, 711, 203, 9287, 18376, 2276, 688, 884, 376, 4838, 436, 4583, 32, 1524, 446, 11246, 280, 1149, 26, 10444, 27, 474, 3570, 32, 371, 463, 5917, 32, 10444, 370, 11544, 284, 15684, 280, 498, 410, 7981, 26, 10444, 30, 7116, 81, 311, 28220, 30, 4583, 81, 2585, 27, 446, 415, 646, 15684, 32, 1945, 2262, 291, 4323, 26, 35, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4559, 26, 426, 711, 203, 588, 827, 44, 308, 466, 27, 967, 4540, 620, 1524, 35954, 717, 436, 20720, 18376, 8684, 32, 10460, 44, 636, 308, 466, 711, 203, 886, 636, 432, 322, 4559, 32, 1348, 636, 1098, 526, 1654, 372, 12411, 322, 4559, 328, 529, 26861, 2957, 32, 6045, 2541, 1524, 446, 3649, 485, 81, 4280, 446, 665, 26627, 26, 3359, 711, 225, 588, 27715, 44, 7378, 47, 9785, 31, 1427, 800, 291, 588, 827, 44, 308, 44334, 27, 967, 4540, 620, 291, 485, 81, 4280, 77, 426, 79, 280, 2771, 291, 442, 2771, 446, 442, 26627, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 44636, 42, 81, 1553, 26, 2536, 711, 203, 588, 827, 44, 308, 720, 77, 466, 1130, 967, 629, 1524, 4489, 1340, 9371, 1471, 44636, 42, 32, 10460, 44, 2276, 308, 668, 77, 466, 10794, 203, 399, 1149, 432, 2276, 372, 1505, 3759, 44, 1560, 44, 1115, 1815, 326, 415, 1169, 2276, 5403, 322, 9371, 30, 1115, 2700, 326, 5878, 32, 44636, 42, 4559, 438, 1115, 2254, 326, 8117, 32, 516, 2285, 6321, 19112, 372, 27715, 461, 322, 25309, 322, 1340, 1695, 322, 25309, 322, 10563, 32, 1670, 844, 2637, 372, 11665, 1505, 6496, 844, 4796, 7378, 1169, 44636, 42, 9371, 328, 27715, 461, 793, 44636, 42, 436, 688, 32, 1348, 3352, 844, 793, 27715, 1755, 436, 322, 1829, 20174, 9371, 308, 1382, 1451, 432, 9371, 5887, 328, 27715, 1098, 1930, 312, 8702, 10563, 328, 561, 1182, 1420, 6496, 547, 1524, 446, 2276, 280, 5980, 32, 4071, 81, 8478, 26, 2536, 27, 284, 8444, 81, 983, 280, 3570, 32, 371, 81, 983, 463, 5917, 32, 24945, 42, 81, 4687, 370, 330, 4156, 33, 4280, 33, 24945, 42, 32, 5930, 683, 284, 44636, 42, 81, 3515, 280, 330, 24945, 42, 769, 1163, 2149, 19553, 1643, 26, 4687, 81, 983, 30, 2276, 27, 446, 442, 9073, 32, 1945, 26, 24945, 42, 81, 3515, 30, 4323, 81, 267, 81, 731, 47, 2700, 547, 601, 81, 687, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 27715, 81, 1553, 26, 2536, 711, 203, 588, 827, 44, 308, 720, 77, 466, 1130, 967, 629, 1524, 4489, 1340, 9371, 1471, 27715, 32, 10460, 44, 2276, 308, 668, 77, 466, 10794, 203, 399, 1149, 432, 2276, 372, 1505, 3759, 44, 1560, 44, 1115, 1815, 326, 415, 1169, 2276, 5403, 322, 9371, 30, 1115, 2700, 326, 5878, 32, 1524, 446, 2276, 280, 5980, 32, 4071, 81, 8478, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11583, 26, 784, 711, 291, 5881, 13614, 48453, 1509, 11583, 436, 322, 2702, 26612, 584, 3759, 291, 14761, 291, 11583, 499, 301, 1495, 44, 20211, 32, 8216, 32, 1612, 111, 324, 399, 9473, 432, 20211, 1509, 11583, 30, 1202, 318, 810, 322, 8435, 324, 1600, 5036, 32, 291, 5881, 291, 645, 20211, 32, 8216, 1188, 4237, 584, 498, 280, 5436, 346, 291, 436, 1202, 328, 630, 32, 4151, 44, 324, 498, 77, 678, 79, 280, 4237, 26, 426, 47, 678, 30, 6029, 6024, 47, 784, 32, 4151, 77, 678, 997, 3229, 30, 6029, 9710, 47, 784, 32, 4151, 77, 678, 997, 12010, 27, 584, 442, 498, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 310, 81, 9433, 26, 784, 30, 7459, 711, 291, 5881, 936, 322, 1451, 432, 12872, 436, 312, 2702, 7459, 584, 8350, 291, 13510, 291, 7459, 499, 1451, 2377, 225, 34, 324, 886, 7459, 30, 328, 6791, 584, 3759, 291, 14761, 291, 310, 81, 9433, 499, 629, 2377, 225, 34, 324, 886, 1451, 432, 12872, 821, 458, 40691, 1182, 20598, 7692, 461, 324, 23592, 3104, 291, 5881, 584, 442, 629, 26, 1003, 81, 452, 81, 9433, 26, 6932, 30, 17295, 47, 784, 32, 6858, 30, 6619, 23592, 81, 1322, 47, 784, 32, 18994, 81, 1322, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2604, 26, 1436, 711, 203, 588, 827, 44, 1404, 967, 1665, 1524, 9130, 322, 1550, 4583, 623, 322, 1550, 1503, 32, 1524, 446, 3621, 81, 424, 280, 39528, 32, 1700, 346, 284, 1474, 280, 1474, 556, 330, 104, 2537, 3621, 2473, 1643, 26, 3779, 81, 424, 27, 446, 623, 3570, 32, 20490, 81, 11030, 81, 1515, 2262, 291, 1245, 32, 1338, 440, 16608, 3621, 2604, 657, 291, 5554, 32, 2142, 26, 324, 4081, 47, 2912, 32, 5323, 81, 3375, 922, 2116, 30, 324, 636, 1057, 104, 34917, 1643, 26, 3779, 81, 424, 471, 324, 1474, 47, 1436, 30, 291, 829, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 18376, 26, 10444, 30, 7116, 81, 311, 28220, 30, 4583, 81, 2585, 711, 203, 588, 827, 44, 308, 720, 77, 466, 614, 1560, 30, 1560, 27, 967, 1665, 1524, 498, 410, 4262, 2276, 32, 10460, 44, 11246, 308, 668, 77, 466, 10794, 203, 399, 1149, 432, 12460, 802, 15103, 372, 894, 8187, 32, 1670, 322, 803, 33, 983, 8001, 1346, 432, 5521, 8402, 5725, 30, 561, 1098, 526, 13996, 963, 32, 7116, 81, 311, 28220, 308, 2420, 711, 203, 1670, 739, 372, 1115, 1815, 326, 561, 1098, 7116, 1169, 2276, 646, 29728, 810, 5554, 32, 4583, 81, 2585, 308, 2420, 711, 203, 9287, 18376, 2276, 688, 884, 376, 4838, 436, 4583, 32, 1524, 446, 11246, 280, 1149, 26, 10444, 27, 474, 3570, 32, 371, 463, 5917, 32, 10444, 370, 11544, 284, 15684, 280, 498, 410, 7981, 26, 10444, 30, 7116, 81, 311, 28220, 30, 4583, 81, 2585, 27, 446, 415, 646, 15684, 32, 1945, 2262, 291, 4323, 26, 35, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4559, 26, 426, 711, 203, 588, 827, 44, 308, 466, 27, 967, 4540, 620, 1524, 35954, 717, 436, 20720, 18376, 8684, 32, 10460, 44, 636, 308, 466, 711, 203, 886, 636, 432, 322, 4559, 32, 1348, 636, 1098, 526, 1654, 372, 12411, 322, 4559, 328, 529, 26861, 2957, 32, 6045, 2541, 1524, 446, 3649, 485, 81, 4280, 446, 665, 26627, 26, 3359, 711, 225, 588, 27715, 44, 7378, 47, 9785, 31, 1427, 800, 291, 588, 827, 44, 308, 44334, 27, 967, 4540, 620, 291, 485, 81, 4280, 77, 426, 79, 280, 2771, 291, 442, 2771, 446, 442, 26627, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 44636, 42, 81, 1553, 26, 2536, 711, 203, 588, 827, 44, 308, 720, 77, 466, 1130, 967, 629, 1524, 4489, 1340, 9371, 1471, 44636, 42, 32, 10460, 44, 2276, 308, 668, 77, 466, 10794, 203, 399, 1149, 432, 2276, 372, 1505, 3759, 44, 1560, 44, 1115, 1815, 326, 415, 1169, 2276, 5403, 322, 9371, 30, 1115, 2700, 326, 5878, 32, 44636, 42, 4559, 438, 1115, 2254, 326, 8117, 32, 516, 2285, 6321, 19112, 372, 27715, 461, 322, 25309, 322, 1340, 1695, 322, 25309, 322, 10563, 32, 1670, 844, 2637, 372, 11665, 1505, 6496, 844, 4796, 7378, 1169, 44636, 42, 9371, 328, 27715, 461, 793, 44636, 42, 436, 688, 32, 1348, 3352, 844, 793, 27715, 1755, 436, 322, 1829, 20174, 9371, 308, 1382, 1451, 432, 9371, 5887, 328, 27715, 1098, 1930, 312, 8702, 10563, 328, 561, 1182, 1420, 6496, 547, 1524, 446, 2276, 280, 5980, 32, 4071, 81, 8478, 26, 2536, 27, 284, 8444, 81, 983, 280, 3570, 32, 371, 81, 983, 463, 5917, 32, 24945, 42, 81, 4687, 370, 330, 4156, 33, 4280, 33, 24945, 42, 32, 5930, 683, 284, 44636, 42, 81, 3515, 280, 330, 24945, 42, 769, 1163, 2149, 19553, 1643, 26, 4687, 81, 983, 30, 2276, 27, 446, 442, 9073, 32, 1945, 26, 24945, 42, 81, 3515, 30, 4323, 81, 267, 81, 731, 47, 2700, 547, 601, 81, 687, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 27715, 81, 1553, 26, 2536, 711, 203, 588, 827, 44, 308, 720, 77, 466, 1130, 967, 629, 1524, 4489, 1340, 9371, 1471, 27715, 32, 10460, 44, 2276, 308, 668, 77, 466, 10794, 203, 399, 1149, 432, 2276, 372, 1505, 3759, 44, 1560, 44, 1115, 1815, 326, 415, 1169, 2276, 5403, 322, 9371, 30, 1115, 2700, 326, 5878, 32, 1524, 446, 2276, 280, 5980, 32, 4071, 81, 8478, 26 ]
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
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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
[ 13614, 101, 322, 2202, 3834, 432, 312, 5035, 32, 499, 753, 596, 48845, 44, 2676, 1123, 8050, 499, 753, 5436, 10306, 44, 2676, 1123, 2818, 3377, 32, 2616, 2280, 2318, 27004, 47406, 1524, 584, 588, 1968, 341, 864, 725, 3834, 14714, 544, 10408, 9955, 48845, 291, 415, 48845, 328, 630, 32, 13803, 47406, 44, 324, 48845, 81, 1132, 280, 630, 32, 13803, 47406, 32, 371, 26, 30604, 547, 371, 440, 1132, 657, 324, 588, 1505, 10306, 3377, 324, 415, 739, 26, 30604, 81, 1132, 27, 2511, 739, 26, 5321, 711, 400, 588, 8520, 461, 442, 1984, 400, 1984, 280, 630, 32, 13803, 47406, 32, 371, 26, 30604, 547, 371, 440, 965, 657, 2110, 442, 1984, 32, 1643, 14605, 5321, 27, 324, 813, 44, 400, 3636, 12678, 26, 528, 5335, 2537, 25, 48845, 23119, 2149, 2793, 26, 101, 711, 2149, 3107, 528, 313, 10460, 5403, 44, 16531, 1643, 26, 715, 48845, 30, 2069, 26, 30604, 81, 1132, 471, 48845, 81, 1132, 30, 10306, 528, 829, 400, 829, 291, 813, 44, 324, 3636, 10091, 26, 400, 5335, 2537, 25, 438, 646, 312, 27149, 48845, 17660, 44, 2149, 3107, 400, 313, 8959, 372, 3909, 561, 35145, 1643, 26, 784, 32, 13803, 47406, 32, 3494, 1026, 48845, 27, 324, 829, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3909, 81, 30604, 26, 784, 30, 48845, 81, 426, 44, 596, 30, 48845, 81, 1132, 44, 1149, 30, 48845, 81, 965, 44, 596, 711, 203, 1524, 4329, 312, 537, 27004, 6870, 372, 793, 623, 322, 2202, 3834, 4906, 32, 499, 753, 596, 48845, 81, 426, 44, 636, 432, 322, 2676, 1123, 372, 3909, 499, 753, 1149, 48845, 81, 1132, 44, 7094, 4209, 372, 6153, 322, 3834, 32, 44677, 330, 954, 81, 314, 2473, 499, 753, 596, 48845, 81, 965, 44, 3834, 432, 322, 2676, 1123, 372, 3909, 623, 2181, 5911, 372, 7084, 32, 5938, 44, 330, 641, 555, 1499, 32, 593, 19081, 31, 2356, 3455, 32, 2173, 33, 625, 607, 33, 300, 542, 6684, 340, 49, 6572, 1279, 954, 81, 314, 8129, 1524, 584, 588, 1505, 3377, 291, 436, 1638, 328, 48845, 81, 1132, 44, 324, 415, 1638, 646, 328, 48845, 81, 965, 44, 400, 3636, 10091, 26, 528, 313, 383, 23054, 2676, 1123, 4209, 461, 3834, 3107, 528, 313, 2030, 1395, 4799, 4209, 372, 7084, 20, 528, 313, 22524, 32, 5938, 44, 330, 525, 555, 30604, 32, 508, 20, 528, 2430, 9328, 8512, 49, 4519, 1279, 954, 81, 314, 111, 7362, 400, 829, 291, 588, 3909, 291, 630, 32, 13803, 47406, 77, 30604, 81, 426, 79, 280, 3447, 1132, 563, 48845, 81, 1132, 30, 313, 965, 563, 48845, 81, 965, 111, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 7853, 81, 4680, 26, 784, 30, 3380, 44, 629, 30, 1938, 81, 891, 44, 629, 280, 225, 35, 34, 34, 27, 967, 629, 44, 1524, 5291, 9332, 372, 2887, 19628, 32, 3759, 322, 1451, 432, 7853, 436, 312, 2702, 1451, 432, 3276, 32, 499, 753, 629, 3380, 44, 2385, 432, 5035, 328, 312, 3233, 1326, 499, 753, 629, 1938, 81, 891, 44, 2385, 432, 5035, 372, 2503, 328, 2504, 1938, 1524, 584, 415, 3380, 2511, 1938, 81, 891, 44, 324, 2385, 81, 5646, 280, 225, 35, 291, 813, 44, 324, 415, 308, 2999, 904, 1938, 81, 891, 27, 610, 225, 34, 44, 400, 2385, 81, 5646, 280, 3380, 517, 1938, 81, 891, 324, 813, 44, 400, 2385, 81, 5646, 280, 308, 2999, 517, 1938, 81, 891, 27, 474, 225, 35, 291, 588, 1411, 22206, 291, 442, 629, 26, 998, 81, 5646, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8623, 81, 407, 1610, 26, 784, 30, 8623, 44, 5436, 30, 3276, 81, 15688, 44, 5436, 711, 203, 1524, 20601, 8623, 1542, 623, 5388, 32931, 32, 499, 753, 5436, 8623, 44, 8623, 4717, 810, 2330, 499, 753, 5436, 3276, 81, 15688, 44, 13996, 3233, 1056, 1524, 584, 588, 1015, 8623, 45854, 3834, 291, 21231, 81, 314, 280, 8623, 32, 371, 14715, 16417, 1895, 371, 14715, 2142, 16050, 40, 10056, 291, 8623, 1365, 2300, 81, 965, 1446, 280, 19436, 33, 6332, 46052, 2300, 33, 29705, 22298, 2296, 1643, 26, 324, 630, 32, 725, 81, 965, 30, 21231, 81, 314, 30, 8623, 32, 371, 14715, 314, 657, 291, 829, 291, 588, 1505, 415, 3927, 12783, 438, 25249, 291, 2156, 2579, 81, 965, 280, 19436, 33, 101, 22298, 22298, 2296, 1643, 26, 324, 630, 32, 542, 81, 965, 30, 8623, 32, 371, 14715, 314, 2113, 8623, 32, 371, 440, 965, 1763, 657, 291, 829, 291, 415, 5167, 32, 1816, 26, 13948, 269, 81, 965, 711, 324, 8623, 1365, 542, 81, 965, 1446, 280, 2156, 2579, 81, 965, 291, 813, 44, 324, 3097, 291, 588, 1015, 5035, 9668, 1149, 291, 8623, 1365, 47850, 81, 3631, 1446, 280, 308, 91, 32, 371, 14715, 314, 657, 436, 595, 328, 3276, 81, 15688, 27, 584, 442, 8623, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 10677, 81, 4554, 26, 784, 30, 328, 81, 12623, 44, 596, 280, 313, 1580, 81, 22476, 32, 1260, 657, 967, 5436, 44, 1524, 3013, 101, 2330, 10677, 645, 312, 803, 30, 3398, 556, 1236, 59, 32, 499, 753, 596, 328, 81, 12623, 44, 1519, 372, 322, 10677, 803, 32, 4517, 1244, 30, 2779, 436, 312, 2043, 81, 22476, 32, 1260, 803, 32, 1524, 584, 16187, 81, 9081, 280, 308, 2296, 5930, 392, 4939, 1260, 657, 291, 588, 9371, 291, 415, 646, 1519, 32, 29712, 26, 266, 81, 12623, 711, 324, 3636, 45338, 440, 10103, 803, 4163, 1330, 2307, 44, 16531, 1643, 26, 266, 81, 12623, 490, 291, 813, 44, 324, 328, 81, 12623, 280, 1519, 32, 19573, 49149, 26, 266 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13614, 101, 322, 2202, 3834, 432, 312, 5035, 32, 499, 753, 596, 48845, 44, 2676, 1123, 8050, 499, 753, 5436, 10306, 44, 2676, 1123, 2818, 3377, 32, 2616, 2280, 2318, 27004, 47406, 1524, 584, 588, 1968, 341, 864, 725, 3834, 14714, 544, 10408, 9955, 48845, 291, 415, 48845, 328, 630, 32, 13803, 47406, 44, 324, 48845, 81, 1132, 280, 630, 32, 13803, 47406, 32, 371, 26, 30604, 547, 371, 440, 1132, 657, 324, 588, 1505, 10306, 3377, 324, 415, 739, 26, 30604, 81, 1132, 27, 2511, 739, 26, 5321, 711, 400, 588, 8520, 461, 442, 1984, 400, 1984, 280, 630, 32, 13803, 47406, 32, 371, 26, 30604, 547, 371, 440, 965, 657, 2110, 442, 1984, 32, 1643, 14605, 5321, 27, 324, 813, 44, 400, 3636, 12678, 26, 528, 5335, 2537, 25, 48845, 23119, 2149, 2793, 26, 101, 711, 2149, 3107, 528, 313, 10460, 5403, 44, 16531, 1643, 26, 715, 48845, 30, 2069, 26, 30604, 81, 1132, 471, 48845, 81, 1132, 30, 10306, 528, 829, 400, 829, 291, 813, 44, 324, 3636, 10091, 26, 400, 5335, 2537, 25, 438, 646, 312, 27149, 48845, 17660, 44, 2149, 3107, 400, 313, 8959, 372, 3909, 561, 35145, 1643, 26, 784, 32, 13803, 47406, 32, 3494, 1026, 48845, 27, 324, 829, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3909, 81, 30604, 26, 784, 30, 48845, 81, 426, 44, 596, 30, 48845, 81, 1132, 44, 1149, 30, 48845, 81, 965, 44, 596, 711, 203, 1524, 4329, 312, 537, 27004, 6870, 372, 793, 623, 322, 2202, 3834, 4906, 32, 499, 753, 596, 48845, 81, 426, 44, 636, 432, 322, 2676, 1123, 372, 3909, 499, 753, 1149, 48845, 81, 1132, 44, 7094, 4209, 372, 6153, 322, 3834, 32, 44677, 330, 954, 81, 314, 2473, 499, 753, 596, 48845, 81, 965, 44, 3834, 432, 322, 2676, 1123, 372, 3909, 623, 2181, 5911, 372, 7084, 32, 5938, 44, 330, 641, 555, 1499, 32, 593, 19081, 31, 2356, 3455, 32, 2173, 33, 625, 607, 33, 300, 542, 6684, 340, 49, 6572, 1279, 954, 81, 314, 8129, 1524, 584, 588, 1505, 3377, 291, 436, 1638, 328, 48845, 81, 1132, 44, 324, 415, 1638, 646, 328, 48845, 81, 965, 44, 400, 3636, 10091, 26, 528, 313, 383, 23054, 2676, 1123, 4209, 461, 3834, 3107, 528, 313, 2030, 1395, 4799, 4209, 372, 7084, 20, 528, 313, 22524, 32, 5938, 44, 330, 525, 555, 30604, 32, 508, 20, 528, 2430, 9328, 8512, 49, 4519, 1279, 954, 81, 314, 111, 7362, 400, 829, 291, 588, 3909, 291, 630, 32, 13803, 47406, 77, 30604, 81, 426, 79, 280, 3447, 1132, 563, 48845, 81, 1132, 30, 313, 965, 563, 48845, 81, 965, 111, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 7853, 81, 4680, 26, 784, 30, 3380, 44, 629, 30, 1938, 81, 891, 44, 629, 280, 225, 35, 34, 34, 27, 967, 629, 44, 1524, 5291, 9332, 372, 2887, 19628, 32, 3759, 322, 1451, 432, 7853, 436, 312, 2702, 1451, 432, 3276, 32, 499, 753, 629, 3380, 44, 2385, 432, 5035, 328, 312, 3233, 1326, 499, 753, 629, 1938, 81, 891, 44, 2385, 432, 5035, 372, 2503, 328, 2504, 1938, 1524, 584, 415, 3380, 2511, 1938, 81, 891, 44, 324, 2385, 81, 5646, 280, 225, 35, 291, 813, 44, 324, 415, 308, 2999, 904, 1938, 81, 891, 27, 610, 225, 34, 44, 400, 2385, 81, 5646, 280, 3380, 517, 1938, 81, 891, 324, 813, 44, 400, 2385, 81, 5646, 280, 308, 2999, 517, 1938, 81, 891, 27, 474, 225, 35, 291, 588, 1411, 22206, 291, 442, 629, 26, 998, 81, 5646, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8623, 81, 407, 1610, 26, 784, 30, 8623, 44, 5436, 30, 3276, 81, 15688, 44, 5436, 711, 203, 1524, 20601, 8623, 1542, 623, 5388, 32931, 32, 499, 753, 5436, 8623, 44, 8623, 4717, 810, 2330, 499, 753, 5436, 3276, 81, 15688, 44, 13996, 3233, 1056, 1524, 584, 588, 1015, 8623, 45854, 3834, 291, 21231, 81, 314, 280, 8623, 32, 371, 14715, 16417, 1895, 371, 14715, 2142, 16050, 40, 10056, 291, 8623, 1365, 2300, 81, 965, 1446, 280, 19436, 33, 6332, 46052, 2300, 33, 29705, 22298, 2296, 1643, 26, 324, 630, 32, 725, 81, 965, 30, 21231, 81, 314, 30, 8623, 32, 371, 14715, 314, 657, 291, 829, 291, 588, 1505, 415, 3927, 12783, 438, 25249, 291, 2156, 2579, 81, 965, 280, 19436, 33, 101, 22298, 22298, 2296, 1643, 26, 324, 630, 32, 542, 81, 965, 30, 8623, 32, 371, 14715, 314, 2113, 8623, 32, 371, 440, 965, 1763, 657, 291, 829, 291, 415, 5167, 32, 1816, 26, 13948, 269, 81, 965, 711, 324, 8623, 1365, 542, 81, 965, 1446, 280, 2156, 2579, 81, 965, 291, 813, 44, 324, 3097, 291, 588, 1015, 5035, 9668, 1149, 291, 8623, 1365, 47850, 81, 3631, 1446, 280, 308, 91, 32, 371, 14715, 314, 657, 436, 595, 328, 3276, 81, 15688, 27, 584, 442, 8623, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 10677, 81, 4554, 26, 784, 30, 328, 81, 12623, 44, 596, 280, 313, 1580, 81, 22476, 32, 1260, 657, 967, 5436, 44, 1524, 3013, 101, 2330, 10677, 645, 312, 803, 30, 3398, 556, 1236, 59, 32, 499, 753, 596, 328, 81, 12623, 44, 1519, 372, 322, 10677, 803, 32, 4517, 1244, 30, 2779, 436, 312, 2043, 81, 22476, 32, 1260, 803, 32, 1524, 584, 16187, 81, 9081, 280, 308, 2296, 5930, 392, 4939, 1260, 657, 291, 588, 9371, 291, 415, 646, 1519, 32, 29712, 26, 266, 81, 12623, 711, 324, 3636, 45338, 440, 10103, 803, 4163, 1330, 2307, 44, 16531, 1643, 26, 266, 81, 12623, 490, 291, 813, 44, 324, 328, 81, 12623, 280, 1519, 32, 19573, 49149, 26, 266 ]
[ 81, 12623, 27, 291, 415, 1519, 32, 48271, 26, 266, 81, 12623, 5594, 35, 79, 646, 328, 16187, 81, 9081, 44, 324, 3636, 10091, 26, 400, 313, 4814, 432, 10677, 803, 2298, 526, 1591, 432, 16531, 1643, 26, 528, 16187, 81, 9081, 400, 829, 324, 829, 291, 813, 44, 324, 6186, 280, 1519, 32, 48271, 26, 266, 81, 12623, 5594, 35, 79, 291, 588, 2454, 30, 1505, 461, 739, 291, 415, 6186, 610, 4939, 1260, 563, 324, 623, 2156, 26, 266, 81, 12623, 30, 313, 100, 657, 619, 296, 44, 400, 328, 81, 2393, 280, 2361, 32, 12474, 26, 88, 32, 850, 1157, 324, 588, 1505, 5193, 324, 35426, 280, 2884, 18132, 392, 313, 1840, 657, 324, 415, 646, 739, 26, 266, 81, 2393, 547, 11232, 26, 470, 26, 20340, 8531, 400, 3636, 10091, 26, 528, 313, 1612, 3398, 5193, 438, 646, 619, 2799, 3107, 528, 313, 8819, 1202, 2298, 526, 1591, 432, 44, 16531, 1643, 26, 20340, 27, 400, 829, 324, 588, 739, 324, 415, 313, 1840, 20, 328, 328, 81, 2393, 44, 400, 588, 2361, 5193, 436, 2350, 3022, 400, 3796, 81, 3550, 280, 328, 81, 2393, 32, 371, 440, 1840, 657, 400, 963, 81, 2393, 280, 301, 528, 313, 2393, 81, 2816, 563, 313, 1363, 392, 528, 313, 1580, 81, 314, 563, 3796, 81, 3550, 32, 371, 440, 1580, 81, 314, 2113, 528, 313, 1580, 81, 7241, 563, 3796, 81, 3550, 32, 371, 440, 1580, 81, 7241, 2113, 528, 588, 415, 646, 3191, 30, 2298, 526, 312, 31273, 803, 1615, 739, 39115, 4576, 528, 313, 25661, 563, 3796, 81, 3550, 32, 371, 440, 25661, 392, 3037, 5379, 44, 850, 28431, 528, 313, 3423, 81, 2393, 563, 3796, 81, 3550, 32, 371, 440, 2393, 81, 3423, 2113, 528, 313, 3423, 81, 1956, 563, 3796, 81, 3550, 32, 371, 440, 1956, 81, 3423, 2113, 528, 313, 3423, 81, 1439, 563, 630, 32, 371, 81, 965, 81, 1439, 81, 1070, 81, 965, 81, 1956, 26, 715, 3796, 81, 3550, 32, 371, 440, 1956, 81, 3423, 657, 528, 2588, 528, 313, 3423, 81, 7344, 563, 1665, 30, 400, 320, 324, 813, 44, 400, 588, 26933, 328, 81, 2393, 610, 330, 18132, 25, 400, 3796, 81, 3550, 280, 328, 81, 2393, 32, 371, 440, 18132, 657, 400, 963, 81, 2393, 280, 301, 528, 313, 2393, 81, 2816, 563, 313, 496, 392, 528, 313, 1580, 81, 314, 563, 3796, 81, 3550, 32, 371, 440, 1580, 81, 314, 2113, 528, 313, 1580, 81, 7241, 563, 3796, 81, 3550, 32, 371, 440, 1580, 81, 7241, 2113, 528, 588, 415, 646, 3191, 30, 2298, 526, 312, 31273, 803, 1615, 739, 39115, 4576, 528, 313, 25661, 563, 3796, 81, 3550, 32, 371, 440, 25661, 392, 3037, 5379, 44, 850, 28431, 528, 313, 3423, 81, 2393, 563, 3796, 81, 3550, 32, 371, 440, 2393, 81, 3423, 2113, 528, 313, 3423, 81, 1956, 563, 3796, 81, 3550, 32, 371, 440, 1956, 81, 3423, 2113, 528, 313, 3423, 81, 1439, 563, 630, 32, 371, 81, 965, 81, 1439, 81, 1070, 81, 965, 81, 1956, 26, 715, 3796, 81, 3550, 32, 371, 440, 1956, 81, 3423, 657, 528, 2588, 528, 313, 3423, 81, 7344, 563, 3796, 81, 3550, 32, 371, 440, 7344, 81, 26780, 392, 1665, 471, 400, 320, 291, 813, 44, 324, 588, 26933, 803, 438, 600, 638, 5930, 324, 17918, 81, 3922, 280, 3383, 2825, 346, 324, 17918, 81, 3922, 32, 850, 26, 266, 81, 12623, 27, 324, 588, 1505, 5193, 324, 415, 313, 2393, 20, 328, 17918, 81, 3922, 1114, 15485, 44, 400, 3796, 81, 3550, 280, 17918, 81, 3922, 1365, 2393, 1446, 324, 813, 44, 400, 3636, 10091, 26, 528, 313, 1612, 1236, 59, 5193, 438, 646, 619, 2799, 3107, 528, 313, 13630, 432, 10677, 2298, 526, 8189, 44, 3796, 20, 400, 829, 324, 588, 739, 324, 963, 81, 2393, 280, 301, 400, 313, 2393, 81, 2816, 563, 3796, 81, 3550, 32, 371, 440, 10923, 81, 2319, 2113, 400, 313, 1580, 81, 314, 563, 3796, 81, 3550, 32, 371, 440, 10923, 81, 779, 2113, 400, 313, 1580, 81, 7241, 563, 3796, 81, 3550, 32, 371, 440, 10923, 81, 17252, 2113, 400, 313, 3423, 81, 2393, 563, 3796, 81, 3550, 32, 371, 440, 6333, 81, 9036, 2113, 400, 313, 3423, 81, 1956, 563, 3796, 81, 3550, 32, 371, 440, 6333, 81, 9052, 2113, 400, 313, 3423, 81, 1439, 563, 630, 32, 371, 81, 965, 81, 1439, 81, 1070, 81, 965, 81, 1956, 26, 528, 3796, 81, 3550, 32, 371, 440, 6333, 81, 9052, 657, 400, 2588, 400, 313, 3423, 81, 7344, 563, 3796, 81, 3550, 32, 371, 440, 6333, 81, 613, 9674, 2113, 324, 320, 291, 588, 1411, 22206, 291, 442, 963, 81, 2393, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8488, 26, 699, 30, 3882, 711, 203, 588, 827, 44, 308, 466, 30, 596, 27, 967, 1665, 1524, 10945, 638, 978, 98, 4941, 1359, 623, 322, 2702, 10677, 32, 5938, 44, 398, 298, 13166, 774, 48001, 8488, 1672, 81, 21969, 81, 496, 1672, 81, 21969, 81, 4617, 1524, 446, 645, 298, 13166, 774, 32, 7615, 32, 21969, 1188, 8130, 284, 8130, 32, 2518, 81, 978, 98, 4941, 26, 699, 30, 3882, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 554, 26, 784, 30, 40525, 44, 596, 30, 802, 81, 452, 81, 7393, 44, 596, 280, 7746, 967, 596, 44, 1524, 6970, 13178, 432, 802, 5403, 32, 499, 753, 596, 40525, 44, 1361, 2050, 432, 5852, 9473, 32, 15622, 526, 1591, 432, 630, 32, 22902, 32, 3494, 346, 595, 32, 87, 32, 330, 268, 17530, 25, 499, 753, 596, 802, 81, 452, 81, 7393, 44, 802, 844, 2637, 372, 8778, 1524, 584, 415, 40525, 646, 328, 630, 32, 22902, 32, 3494, 2262, 324, 3636, 10091, 26, 400, 5335, 2537, 25, 438, 646, 312, 3809, 40525, 3107, 400, 313, 15622, 526, 1591, 432 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 81, 12623, 27, 291, 415, 1519, 32, 48271, 26, 266, 81, 12623, 5594, 35, 79, 646, 328, 16187, 81, 9081, 44, 324, 3636, 10091, 26, 400, 313, 4814, 432, 10677, 803, 2298, 526, 1591, 432, 16531, 1643, 26, 528, 16187, 81, 9081, 400, 829, 324, 829, 291, 813, 44, 324, 6186, 280, 1519, 32, 48271, 26, 266, 81, 12623, 5594, 35, 79, 291, 588, 2454, 30, 1505, 461, 739, 291, 415, 6186, 610, 4939, 1260, 563, 324, 623, 2156, 26, 266, 81, 12623, 30, 313, 100, 657, 619, 296, 44, 400, 328, 81, 2393, 280, 2361, 32, 12474, 26, 88, 32, 850, 1157, 324, 588, 1505, 5193, 324, 35426, 280, 2884, 18132, 392, 313, 1840, 657, 324, 415, 646, 739, 26, 266, 81, 2393, 547, 11232, 26, 470, 26, 20340, 8531, 400, 3636, 10091, 26, 528, 313, 1612, 3398, 5193, 438, 646, 619, 2799, 3107, 528, 313, 8819, 1202, 2298, 526, 1591, 432, 44, 16531, 1643, 26, 20340, 27, 400, 829, 324, 588, 739, 324, 415, 313, 1840, 20, 328, 328, 81, 2393, 44, 400, 588, 2361, 5193, 436, 2350, 3022, 400, 3796, 81, 3550, 280, 328, 81, 2393, 32, 371, 440, 1840, 657, 400, 963, 81, 2393, 280, 301, 528, 313, 2393, 81, 2816, 563, 313, 1363, 392, 528, 313, 1580, 81, 314, 563, 3796, 81, 3550, 32, 371, 440, 1580, 81, 314, 2113, 528, 313, 1580, 81, 7241, 563, 3796, 81, 3550, 32, 371, 440, 1580, 81, 7241, 2113, 528, 588, 415, 646, 3191, 30, 2298, 526, 312, 31273, 803, 1615, 739, 39115, 4576, 528, 313, 25661, 563, 3796, 81, 3550, 32, 371, 440, 25661, 392, 3037, 5379, 44, 850, 28431, 528, 313, 3423, 81, 2393, 563, 3796, 81, 3550, 32, 371, 440, 2393, 81, 3423, 2113, 528, 313, 3423, 81, 1956, 563, 3796, 81, 3550, 32, 371, 440, 1956, 81, 3423, 2113, 528, 313, 3423, 81, 1439, 563, 630, 32, 371, 81, 965, 81, 1439, 81, 1070, 81, 965, 81, 1956, 26, 715, 3796, 81, 3550, 32, 371, 440, 1956, 81, 3423, 657, 528, 2588, 528, 313, 3423, 81, 7344, 563, 1665, 30, 400, 320, 324, 813, 44, 400, 588, 26933, 328, 81, 2393, 610, 330, 18132, 25, 400, 3796, 81, 3550, 280, 328, 81, 2393, 32, 371, 440, 18132, 657, 400, 963, 81, 2393, 280, 301, 528, 313, 2393, 81, 2816, 563, 313, 496, 392, 528, 313, 1580, 81, 314, 563, 3796, 81, 3550, 32, 371, 440, 1580, 81, 314, 2113, 528, 313, 1580, 81, 7241, 563, 3796, 81, 3550, 32, 371, 440, 1580, 81, 7241, 2113, 528, 588, 415, 646, 3191, 30, 2298, 526, 312, 31273, 803, 1615, 739, 39115, 4576, 528, 313, 25661, 563, 3796, 81, 3550, 32, 371, 440, 25661, 392, 3037, 5379, 44, 850, 28431, 528, 313, 3423, 81, 2393, 563, 3796, 81, 3550, 32, 371, 440, 2393, 81, 3423, 2113, 528, 313, 3423, 81, 1956, 563, 3796, 81, 3550, 32, 371, 440, 1956, 81, 3423, 2113, 528, 313, 3423, 81, 1439, 563, 630, 32, 371, 81, 965, 81, 1439, 81, 1070, 81, 965, 81, 1956, 26, 715, 3796, 81, 3550, 32, 371, 440, 1956, 81, 3423, 657, 528, 2588, 528, 313, 3423, 81, 7344, 563, 3796, 81, 3550, 32, 371, 440, 7344, 81, 26780, 392, 1665, 471, 400, 320, 291, 813, 44, 324, 588, 26933, 803, 438, 600, 638, 5930, 324, 17918, 81, 3922, 280, 3383, 2825, 346, 324, 17918, 81, 3922, 32, 850, 26, 266, 81, 12623, 27, 324, 588, 1505, 5193, 324, 415, 313, 2393, 20, 328, 17918, 81, 3922, 1114, 15485, 44, 400, 3796, 81, 3550, 280, 17918, 81, 3922, 1365, 2393, 1446, 324, 813, 44, 400, 3636, 10091, 26, 528, 313, 1612, 1236, 59, 5193, 438, 646, 619, 2799, 3107, 528, 313, 13630, 432, 10677, 2298, 526, 8189, 44, 3796, 20, 400, 829, 324, 588, 739, 324, 963, 81, 2393, 280, 301, 400, 313, 2393, 81, 2816, 563, 3796, 81, 3550, 32, 371, 440, 10923, 81, 2319, 2113, 400, 313, 1580, 81, 314, 563, 3796, 81, 3550, 32, 371, 440, 10923, 81, 779, 2113, 400, 313, 1580, 81, 7241, 563, 3796, 81, 3550, 32, 371, 440, 10923, 81, 17252, 2113, 400, 313, 3423, 81, 2393, 563, 3796, 81, 3550, 32, 371, 440, 6333, 81, 9036, 2113, 400, 313, 3423, 81, 1956, 563, 3796, 81, 3550, 32, 371, 440, 6333, 81, 9052, 2113, 400, 313, 3423, 81, 1439, 563, 630, 32, 371, 81, 965, 81, 1439, 81, 1070, 81, 965, 81, 1956, 26, 528, 3796, 81, 3550, 32, 371, 440, 6333, 81, 9052, 657, 400, 2588, 400, 313, 3423, 81, 7344, 563, 3796, 81, 3550, 32, 371, 440, 6333, 81, 613, 9674, 2113, 324, 320, 291, 588, 1411, 22206, 291, 442, 963, 81, 2393, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8488, 26, 699, 30, 3882, 711, 203, 588, 827, 44, 308, 466, 30, 596, 27, 967, 1665, 1524, 10945, 638, 978, 98, 4941, 1359, 623, 322, 2702, 10677, 32, 5938, 44, 398, 298, 13166, 774, 48001, 8488, 1672, 81, 21969, 81, 496, 1672, 81, 21969, 81, 4617, 1524, 446, 645, 298, 13166, 774, 32, 7615, 32, 21969, 1188, 8130, 284, 8130, 32, 2518, 81, 978, 98, 4941, 26, 699, 30, 3882, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 554, 26, 784, 30, 40525, 44, 596, 30, 802, 81, 452, 81, 7393, 44, 596, 280, 7746, 967, 596, 44, 1524, 6970, 13178, 432, 802, 5403, 32, 499, 753, 596, 40525, 44, 1361, 2050, 432, 5852, 9473, 32, 15622, 526, 1591, 432, 630, 32, 22902, 32, 3494, 346, 595, 32, 87, 32, 330, 268, 17530, 25, 499, 753, 596, 802, 81, 452, 81, 7393, 44, 802, 844, 2637, 372, 8778, 1524, 584, 415, 40525, 646, 328, 630, 32, 22902, 32, 3494, 2262, 324, 3636, 10091, 26, 400, 5335, 2537, 25, 438, 646, 312, 3809, 40525, 3107, 400, 313, 15622, 526, 1591, 432 ]
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
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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
[ 5056, 4600, 688, 4528, 3272, 499, 16708, 44, 9045, 2554, 924, 30, 13486, 36, 1733, 924, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 14939, 81, 8636, 81, 639, 683, 584, 588, 36327, 372, 15025, 312, 537, 23035, 4600, 291, 1245, 32, 1338, 463, 1076, 38579, 372, 15025, 600, 23035, 4600, 30865, 291, 1596, 44, 324, 1789, 280, 630, 32, 1580, 32, 14939, 81, 2468, 26, 528, 475, 994, 2529, 47, 2700, 30, 528, 14063, 1057, 27078, 25, 324, 829, 291, 2940, 5675, 924, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 330, 12014, 372, 15025, 312, 537, 23035, 4600, 2965, 78, 96, 109, 87, 16805, 1643, 26, 87, 47, 466, 26, 327, 490, 324, 1245, 32, 731, 26, 2076, 27, 324, 3636, 9045, 2554, 924, 30, 3124, 30, 8244, 584, 18120, 81, 314, 280, 1789, 710, 16814, 606, 785, 291, 562, 81, 639, 280, 1789, 710, 5991, 7086, 785, 291, 1245, 32, 1338, 463, 33499, 16233, 4600, 623, 2484, 301, 83, 111, 461, 5056, 4600, 2965, 301, 98, 16805, 353, 2179, 26, 83, 47, 23664, 81, 314, 30, 298, 47, 923, 81, 639, 490, 584, 588, 12072, 322, 8983, 1597, 15666, 7504, 291, 1245, 32, 1338, 463, 10570, 299, 322, 23035, 4600, 2965, 1597, 15666, 461, 438, 3304, 330, 353, 330, 979, 793, 30865, 291, 8753, 280, 3177, 291, 18219, 81, 7212, 280, 428, 36, 6603, 40, 34, 474, 428, 39, 6603, 40, 34, 474, 428, 35, 34, 6603, 35, 42, 291, 1929, 81, 17615, 280, 2069, 26, 24444, 81, 7212, 27, 291, 436, 595, 328, 2155, 26, 34, 30, 1929, 81, 17615, 711, 324, 4465, 81, 1003, 280, 18219, 81, 7212, 77, 91, 79, 324, 1596, 44, 400, 630, 32, 1580, 32, 7628, 81, 15097, 26, 715, 475, 994, 2529, 47, 2700, 30, 715, 2752, 2645, 5332, 6020, 23664, 81, 314, 79, 400, 829, 324, 2940, 5675, 924, 44, 400, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 400, 1245, 32, 1338, 463, 19728, 4600, 2965, 301, 98, 111, 623, 2752, 2645, 2484, 301, 83, 111, 438, 646, 3304, 436, 793, 30, 7667, 4056, 328, 330, 656, 8930, 105, 111, 8382, 25378, 96, 109, 87, 16805, 1643, 26, 98, 47, 923, 81, 639, 30, 312, 47, 23664, 81, 314, 30, 341, 47, 1684, 81, 1003, 30, 484, 47, 466, 26, 327, 2610, 400, 1133, 32, 7840, 26, 1684, 81, 1003, 27, 324, 813, 44, 400, 1245, 32, 1338, 463, 19728, 4600, 301, 98, 111, 623, 2752, 2645, 2484, 301, 83, 111, 438, 3304, 436, 793, 2473, 1643, 26, 528, 298, 47, 923, 81, 639, 30, 312, 47, 23664, 81, 314, 490, 400, 8753, 280, 2933, 400, 1626, 291, 415, 8753, 44, 324, 442, 5053, 16814, 606, 950, 18120, 81, 314, 30, 330, 5991, 7086, 950, 562, 81, 639, 111, 291, 813, 44, 324, 3124, 280, 330, 12014, 372, 6144, 31283, 432, 537, 16233, 4600, 301, 98, 111, 623, 2752, 2645, 2484, 44, 301, 83, 16805, 766, 400, 2179, 26, 98, 47, 923, 81, 639, 30, 312, 47, 23664, 81, 314, 27, 324, 1245, 32, 731, 26, 2076, 27, 324, 3636, 13486, 36, 1733, 924, 26, 2076, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 8636, 81, 9510, 26, 784, 711, 203, 1524, 6970, 322, 23035, 4600, 3099, 436, 458, 1980, 1346, 884, 13076, 499, 601, 44, 308, 2665, 27, 12437, 2625, 322, 16233, 4600, 101, 499, 16708, 9045, 2554, 924, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 371, 81, 8636, 81, 9510, 683, 291, 1980, 81, 314, 280, 622, 81, 2386, 81, 314, 346, 291, 415, 1980, 81, 314, 438, 1665, 44, 324, 1245, 32, 731, 463, 12014, 372, 622, 322, 11617, 2484, 436, 458, 6652, 683, 324, 442, 291, 1245, 32, 1338, 463, 3595, 11617, 2484, 44, 301, 91, 16805, 1643, 26, 91, 47, 2386, 81, 314, 490, 584, 1245, 32, 1338, 463, 1625, 299, 9045, 436, 3099, 2625, 1980, 2484, 301, 91, 111, 1179, 2473, 1643, 26, 91, 47, 2386, 81, 314, 490, 291, 1596, 44, 324, 1980, 81, 1338, 280, 630, 32, 1580, 32, 7628, 81, 12182, 26, 54, 994, 2529, 47, 2700, 30, 11617, 5332, 6020, 2386, 81, 314, 1130, 291, 2940, 5675, 924, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 330, 12014, 372, 2467, 9045, 372, 622, 3099, 436, 1980, 301, 91, 4104, 96, 109, 87, 16805, 1643, 26, 91, 47, 2386, 81, 314, 30, 484, 47, 327, 27, 324, 1245, 32, 731, 26, 2076, 27, 324, 3636, 9045, 2554, 924, 30, 3124, 30, 8244, 584, 588, 1390, 322, 1149, 432, 5056, 33, 19728, 4600, 101, 436, 458, 1980, 291, 562, 81, 9510, 280, 1605, 291, 436, 3984, 81, 3337, 328, 1980, 81, 1338, 710, 16014, 104, 993, 8150, 34, 5795, 8354, 8150, 34, 5795, 4711, 12295, 12132, 324, 3984, 81, 3337, 81, 314, 280, 3984, 81, 3337, 710, 47153, 606, 785, 324, 1245, 32, 1338, 463, 21306, 3641, 59, 44, 301, 96, 111, 1179, 2473, 1643, 26, 96, 47, 4573, 81, 3337, 81, 314, 490, 324, 1596, 44, 400, 562, 81, 9510, 32, 1689, 26, 4573, 81, 3337, 710, 15374, 4902, 5991, 7086, 3490, 324, 2940, 25085, 44, 400, 1245, 32, 1338, 463, 2023, 5056, 4600, 2431, 436, 8159, 13199, 2484, 44, 301, 96, 16805, 1643, 26, 96, 47, 4573, 81, 3337, 81, 314, 490, 324, 813, 44, 400, 1245, 32, 1338, 463, 3595, 562, 4600, 436, 8159, 13199, 2484, 301, 96, 10696, 301, 98, 16805, 1643, 26, 715, 310, 47, 4573, 81, 3337, 81, 314, 30, 298, 47, 4573, 81, 3337, 710, 15374, 4902, 5991, 7086, 7698, 584, 588, 2744, 415, 1289, 5056, 33, 19728, 4600, 101, 2431, 291, 415, 2069, 26, 923, 81, 9510, 27, 610, 225, 34, 44, 324, 1245, 32, 1338, 463, 2023 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5056, 4600, 688, 4528, 3272, 499, 16708, 44, 9045, 2554, 924, 30, 13486, 36, 1733, 924, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 14939, 81, 8636, 81, 639, 683, 584, 588, 36327, 372, 15025, 312, 537, 23035, 4600, 291, 1245, 32, 1338, 463, 1076, 38579, 372, 15025, 600, 23035, 4600, 30865, 291, 1596, 44, 324, 1789, 280, 630, 32, 1580, 32, 14939, 81, 2468, 26, 528, 475, 994, 2529, 47, 2700, 30, 528, 14063, 1057, 27078, 25, 324, 829, 291, 2940, 5675, 924, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 330, 12014, 372, 15025, 312, 537, 23035, 4600, 2965, 78, 96, 109, 87, 16805, 1643, 26, 87, 47, 466, 26, 327, 490, 324, 1245, 32, 731, 26, 2076, 27, 324, 3636, 9045, 2554, 924, 30, 3124, 30, 8244, 584, 18120, 81, 314, 280, 1789, 710, 16814, 606, 785, 291, 562, 81, 639, 280, 1789, 710, 5991, 7086, 785, 291, 1245, 32, 1338, 463, 33499, 16233, 4600, 623, 2484, 301, 83, 111, 461, 5056, 4600, 2965, 301, 98, 16805, 353, 2179, 26, 83, 47, 23664, 81, 314, 30, 298, 47, 923, 81, 639, 490, 584, 588, 12072, 322, 8983, 1597, 15666, 7504, 291, 1245, 32, 1338, 463, 10570, 299, 322, 23035, 4600, 2965, 1597, 15666, 461, 438, 3304, 330, 353, 330, 979, 793, 30865, 291, 8753, 280, 3177, 291, 18219, 81, 7212, 280, 428, 36, 6603, 40, 34, 474, 428, 39, 6603, 40, 34, 474, 428, 35, 34, 6603, 35, 42, 291, 1929, 81, 17615, 280, 2069, 26, 24444, 81, 7212, 27, 291, 436, 595, 328, 2155, 26, 34, 30, 1929, 81, 17615, 711, 324, 4465, 81, 1003, 280, 18219, 81, 7212, 77, 91, 79, 324, 1596, 44, 400, 630, 32, 1580, 32, 7628, 81, 15097, 26, 715, 475, 994, 2529, 47, 2700, 30, 715, 2752, 2645, 5332, 6020, 23664, 81, 314, 79, 400, 829, 324, 2940, 5675, 924, 44, 400, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 400, 1245, 32, 1338, 463, 19728, 4600, 2965, 301, 98, 111, 623, 2752, 2645, 2484, 301, 83, 111, 438, 646, 3304, 436, 793, 30, 7667, 4056, 328, 330, 656, 8930, 105, 111, 8382, 25378, 96, 109, 87, 16805, 1643, 26, 98, 47, 923, 81, 639, 30, 312, 47, 23664, 81, 314, 30, 341, 47, 1684, 81, 1003, 30, 484, 47, 466, 26, 327, 2610, 400, 1133, 32, 7840, 26, 1684, 81, 1003, 27, 324, 813, 44, 400, 1245, 32, 1338, 463, 19728, 4600, 301, 98, 111, 623, 2752, 2645, 2484, 301, 83, 111, 438, 3304, 436, 793, 2473, 1643, 26, 528, 298, 47, 923, 81, 639, 30, 312, 47, 23664, 81, 314, 490, 400, 8753, 280, 2933, 400, 1626, 291, 415, 8753, 44, 324, 442, 5053, 16814, 606, 950, 18120, 81, 314, 30, 330, 5991, 7086, 950, 562, 81, 639, 111, 291, 813, 44, 324, 3124, 280, 330, 12014, 372, 6144, 31283, 432, 537, 16233, 4600, 301, 98, 111, 623, 2752, 2645, 2484, 44, 301, 83, 16805, 766, 400, 2179, 26, 98, 47, 923, 81, 639, 30, 312, 47, 23664, 81, 314, 27, 324, 1245, 32, 731, 26, 2076, 27, 324, 3636, 13486, 36, 1733, 924, 26, 2076, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 8636, 81, 9510, 26, 784, 711, 203, 1524, 6970, 322, 23035, 4600, 3099, 436, 458, 1980, 1346, 884, 13076, 499, 601, 44, 308, 2665, 27, 12437, 2625, 322, 16233, 4600, 101, 499, 16708, 9045, 2554, 924, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 371, 81, 8636, 81, 9510, 683, 291, 1980, 81, 314, 280, 622, 81, 2386, 81, 314, 346, 291, 415, 1980, 81, 314, 438, 1665, 44, 324, 1245, 32, 731, 463, 12014, 372, 622, 322, 11617, 2484, 436, 458, 6652, 683, 324, 442, 291, 1245, 32, 1338, 463, 3595, 11617, 2484, 44, 301, 91, 16805, 1643, 26, 91, 47, 2386, 81, 314, 490, 584, 1245, 32, 1338, 463, 1625, 299, 9045, 436, 3099, 2625, 1980, 2484, 301, 91, 111, 1179, 2473, 1643, 26, 91, 47, 2386, 81, 314, 490, 291, 1596, 44, 324, 1980, 81, 1338, 280, 630, 32, 1580, 32, 7628, 81, 12182, 26, 54, 994, 2529, 47, 2700, 30, 11617, 5332, 6020, 2386, 81, 314, 1130, 291, 2940, 5675, 924, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 330, 12014, 372, 2467, 9045, 372, 622, 3099, 436, 1980, 301, 91, 4104, 96, 109, 87, 16805, 1643, 26, 91, 47, 2386, 81, 314, 30, 484, 47, 327, 27, 324, 1245, 32, 731, 26, 2076, 27, 324, 3636, 9045, 2554, 924, 30, 3124, 30, 8244, 584, 588, 1390, 322, 1149, 432, 5056, 33, 19728, 4600, 101, 436, 458, 1980, 291, 562, 81, 9510, 280, 1605, 291, 436, 3984, 81, 3337, 328, 1980, 81, 1338, 710, 16014, 104, 993, 8150, 34, 5795, 8354, 8150, 34, 5795, 4711, 12295, 12132, 324, 3984, 81, 3337, 81, 314, 280, 3984, 81, 3337, 710, 47153, 606, 785, 324, 1245, 32, 1338, 463, 21306, 3641, 59, 44, 301, 96, 111, 1179, 2473, 1643, 26, 96, 47, 4573, 81, 3337, 81, 314, 490, 324, 1596, 44, 400, 562, 81, 9510, 32, 1689, 26, 4573, 81, 3337, 710, 15374, 4902, 5991, 7086, 3490, 324, 2940, 25085, 44, 400, 1245, 32, 1338, 463, 2023, 5056, 4600, 2431, 436, 8159, 13199, 2484, 44, 301, 96, 16805, 1643, 26, 96, 47, 4573, 81, 3337, 81, 314, 490, 324, 813, 44, 400, 1245, 32, 1338, 463, 3595, 562, 4600, 436, 8159, 13199, 2484, 301, 96, 10696, 301, 98, 16805, 1643, 26, 715, 310, 47, 4573, 81, 3337, 81, 314, 30, 298, 47, 4573, 81, 3337, 710, 15374, 4902, 5991, 7086, 7698, 584, 588, 2744, 415, 1289, 5056, 33, 19728, 4600, 101, 2431, 291, 415, 2069, 26, 923, 81, 9510, 27, 610, 225, 34, 44, 324, 1245, 32, 1338, 463, 2023 ]
[ 16233, 4600, 101, 2431, 436, 458, 1980, 44, 301, 91, 16805, 1643, 26, 91, 47, 2386, 81, 314, 490, 324, 442, 291, 813, 44, 324, 1245, 32, 1338, 463, 3595, 5056, 4600, 101, 44, 301, 98, 16805, 1643, 26, 98, 47, 923, 81, 9510, 490, 584, 588, 1390, 3099, 436, 2504, 5056, 33, 19728, 4600, 291, 1596, 44, 324, 2965, 81, 1338, 280, 630, 32, 1580, 32, 7628, 81, 15097, 26, 54, 994, 2529, 47, 2700, 30, 5056, 47138, 47, 923, 81, 9510, 27, 291, 2940, 5675, 924, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 330, 12014, 372, 2467, 9045, 372, 622, 3099, 436, 11019, 301, 98, 4104, 96, 109, 87, 16805, 1643, 26, 98, 47, 923, 81, 9510, 30, 484, 47, 466, 26, 327, 490, 324, 1245, 32, 731, 26, 2076, 27, 324, 3636, 9045, 2554, 924, 30, 3124, 30, 8244, 291, 415, 646, 2965, 81, 1338, 44, 324, 3124, 280, 330, 2023, 2965, 3099, 442, 436, 5056, 4600, 101, 44, 301, 98, 16805, 1643, 26, 98, 47, 923, 81, 9510, 27, 324, 1245, 32, 731, 26, 2076, 27, 324, 3636, 9045, 2554, 924, 26, 2076, 27, 291, 442, 2965, 81, 1338, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1214, 30168, 81, 8636, 81, 9510, 26, 784, 711, 203, 1524, 1562, 2504, 13076, 16233, 4600, 30, 1214, 30168, 561, 499, 601, 44, 1665, 499, 16708, 9045, 2554, 924, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 1285, 30168, 81, 8636, 81, 9510, 683, 584, 1596, 44, 324, 2965, 81, 1338, 280, 630, 32, 371, 81, 8636, 81, 9510, 346, 291, 2940, 9045, 2554, 924, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 330, 12014, 372, 9921, 16233, 4600, 101, 544, 458, 13486, 36, 1980, 25, 324, 1245, 32, 731, 26, 2076, 27, 324, 3636, 9045, 2554, 924, 30, 3124, 30, 8244, 584, 588, 2744, 438, 1289, 23035, 4600, 101, 4528, 2431, 291, 415, 646, 2965, 81, 1338, 44, 324, 1245, 32, 1338, 463, 2023, 23035, 4600, 101, 2431, 372, 1214, 30168, 683, 324, 442, 584, 588, 3645, 30168, 2504, 16233, 4600, 291, 436, 2965, 328, 2965, 81, 1338, 710, 16817, 12132, 324, 20675, 81, 314, 280, 2965, 710, 15374, 606, 785, 324, 562, 81, 639, 280, 2965, 710, 5991, 7086, 785, 324, 1245, 32, 1338, 463, 1076, 38579, 372, 1214, 30168, 2965, 301, 98, 111, 645, 37863, 2484, 44, 301, 83, 16805, 1643, 26, 528, 298, 47, 923, 81, 639, 30, 312, 47, 25199, 81, 314, 490, 324, 1596, 44, 400, 630, 32, 1580, 32, 1285, 30168, 81, 2468, 26, 5991, 7086, 47, 923, 81, 639, 30, 37863, 606, 47, 25199, 81, 314, 27, 324, 2940, 5675, 924, 44, 400, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 400, 3124, 280, 330, 8309, 1597, 312, 3708, 1214, 13131, 1741, 5056, 4600, 301, 98, 111, 645, 37863, 2484, 301, 83, 16805, 1643, 26, 715, 298, 47, 923, 81, 639, 30, 312, 47, 25199, 81, 314, 27, 400, 1245, 32, 731, 26, 2076, 27, 400, 3636, 9045, 2554, 924, 30, 3124, 30, 8244, 324, 813, 44, 400, 1245, 32, 1338, 463, 24724, 1214, 35452, 5056, 4600, 44, 301, 98, 16805, 1643, 26, 98, 47, 923, 81, 639, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1149, 81, 4373, 81, 6332, 81, 266, 81, 27078, 26, 784, 30, 43290, 81, 314, 47, 2521, 711, 203, 1524, 12981, 7663, 8351, 328, 322, 33545, 32, 1670, 43290, 81, 314, 438, 646, 3943, 30, 793, 630, 32, 27078, 81, 314, 499, 753, 43290, 81, 314, 44, 308, 466, 27, 33545, 2484, 372, 1149, 7663, 8351, 436, 499, 601, 44, 308, 668, 27, 7337, 7051, 3099, 499, 16708, 44, 9045, 2554, 924, 30, 13486, 36, 1733, 924, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 668, 81, 4373, 81, 6332, 81, 266, 81, 27078, 683, 291, 415, 43290, 81, 314, 438, 1665, 461, 630, 32, 27078, 81, 314, 438, 646, 1665, 44, 324, 43290, 81, 314, 280, 630, 32, 27078, 81, 314, 291, 813, 44, 324, 3124, 280, 330, 12014, 372, 9921, 33545, 2484, 372, 793, 372, 1487, 322, 7337, 7051, 25, 324, 1245, 32, 731, 26, 2076, 27, 324, 3636, 13486, 36, 1733, 924, 26, 2076, 27, 584, 588, 2648, 312, 2761, 544, 322, 33545, 2484, 291, 10582, 280, 428, 324, 301, 400, 330, 558, 950, 330, 27078, 31, 314, 370, 400, 330, 3354, 950, 428, 27078, 81, 314, 79, 324, 320, 291, 1481, 584, 588, 1390, 312, 1149, 432, 7663, 8351, 328, 322, 33545, 291, 1245, 32, 1338, 463, 1625, 299, 436, 312, 1149, 432, 7663, 8351, 328, 33545, 2484, 44, 301, 104, 16805, 1643, 26, 104, 47, 27078, 81, 314, 490, 291, 1596, 44, 324, 7663, 81, 6332, 280, 630, 32, 1580, 32, 7628, 81, 4373, 81, 6332, 26, 54, 994, 2529, 47, 2700, 30, 34163, 47, 9211, 27, 291, 2940, 5675, 924, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 330, 12014, 372, 2467, 9045, 436, 312, 1149, 432, 7663, 8351, 328, 33545, 2484, 44, 301, 104, 4104, 96, 109, 87, 16805, 1643, 26, 400, 354, 47, 27078, 81, 314, 30, 484, 47, 466, 26, 327, 490, 324, 3636, 9045, 2554, 924, 30, 3124, 30, 8244, 291, 442, 7663, 81, 6332, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 316, 3897, 81, 4373, 81, 1363, 81, 23089, 26, 784, 30, 7663, 81, 1363, 81, 314, 30, 32105, 81, 7004, 711, 203, 1524, 14908, 27508, 1169, 32105, 7019, 436, 312, 7663, 2350, 1079, 2484, 499, 753, 7663, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16233, 4600, 101, 2431, 436, 458, 1980, 44, 301, 91, 16805, 1643, 26, 91, 47, 2386, 81, 314, 490, 324, 442, 291, 813, 44, 324, 1245, 32, 1338, 463, 3595, 5056, 4600, 101, 44, 301, 98, 16805, 1643, 26, 98, 47, 923, 81, 9510, 490, 584, 588, 1390, 3099, 436, 2504, 5056, 33, 19728, 4600, 291, 1596, 44, 324, 2965, 81, 1338, 280, 630, 32, 1580, 32, 7628, 81, 15097, 26, 54, 994, 2529, 47, 2700, 30, 5056, 47138, 47, 923, 81, 9510, 27, 291, 2940, 5675, 924, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 330, 12014, 372, 2467, 9045, 372, 622, 3099, 436, 11019, 301, 98, 4104, 96, 109, 87, 16805, 1643, 26, 98, 47, 923, 81, 9510, 30, 484, 47, 466, 26, 327, 490, 324, 1245, 32, 731, 26, 2076, 27, 324, 3636, 9045, 2554, 924, 30, 3124, 30, 8244, 291, 415, 646, 2965, 81, 1338, 44, 324, 3124, 280, 330, 2023, 2965, 3099, 442, 436, 5056, 4600, 101, 44, 301, 98, 16805, 1643, 26, 98, 47, 923, 81, 9510, 27, 324, 1245, 32, 731, 26, 2076, 27, 324, 3636, 9045, 2554, 924, 26, 2076, 27, 291, 442, 2965, 81, 1338, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1214, 30168, 81, 8636, 81, 9510, 26, 784, 711, 203, 1524, 1562, 2504, 13076, 16233, 4600, 30, 1214, 30168, 561, 499, 601, 44, 1665, 499, 16708, 9045, 2554, 924, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 1285, 30168, 81, 8636, 81, 9510, 683, 584, 1596, 44, 324, 2965, 81, 1338, 280, 630, 32, 371, 81, 8636, 81, 9510, 346, 291, 2940, 9045, 2554, 924, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 330, 12014, 372, 9921, 16233, 4600, 101, 544, 458, 13486, 36, 1980, 25, 324, 1245, 32, 731, 26, 2076, 27, 324, 3636, 9045, 2554, 924, 30, 3124, 30, 8244, 584, 588, 2744, 438, 1289, 23035, 4600, 101, 4528, 2431, 291, 415, 646, 2965, 81, 1338, 44, 324, 1245, 32, 1338, 463, 2023, 23035, 4600, 101, 2431, 372, 1214, 30168, 683, 324, 442, 584, 588, 3645, 30168, 2504, 16233, 4600, 291, 436, 2965, 328, 2965, 81, 1338, 710, 16817, 12132, 324, 20675, 81, 314, 280, 2965, 710, 15374, 606, 785, 324, 562, 81, 639, 280, 2965, 710, 5991, 7086, 785, 324, 1245, 32, 1338, 463, 1076, 38579, 372, 1214, 30168, 2965, 301, 98, 111, 645, 37863, 2484, 44, 301, 83, 16805, 1643, 26, 528, 298, 47, 923, 81, 639, 30, 312, 47, 25199, 81, 314, 490, 324, 1596, 44, 400, 630, 32, 1580, 32, 1285, 30168, 81, 2468, 26, 5991, 7086, 47, 923, 81, 639, 30, 37863, 606, 47, 25199, 81, 314, 27, 324, 2940, 5675, 924, 44, 400, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 400, 3124, 280, 330, 8309, 1597, 312, 3708, 1214, 13131, 1741, 5056, 4600, 301, 98, 111, 645, 37863, 2484, 301, 83, 16805, 1643, 26, 715, 298, 47, 923, 81, 639, 30, 312, 47, 25199, 81, 314, 27, 400, 1245, 32, 731, 26, 2076, 27, 400, 3636, 9045, 2554, 924, 30, 3124, 30, 8244, 324, 813, 44, 400, 1245, 32, 1338, 463, 24724, 1214, 35452, 5056, 4600, 44, 301, 98, 16805, 1643, 26, 98, 47, 923, 81, 639, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1149, 81, 4373, 81, 6332, 81, 266, 81, 27078, 26, 784, 30, 43290, 81, 314, 47, 2521, 711, 203, 1524, 12981, 7663, 8351, 328, 322, 33545, 32, 1670, 43290, 81, 314, 438, 646, 3943, 30, 793, 630, 32, 27078, 81, 314, 499, 753, 43290, 81, 314, 44, 308, 466, 27, 33545, 2484, 372, 1149, 7663, 8351, 436, 499, 601, 44, 308, 668, 27, 7337, 7051, 3099, 499, 16708, 44, 9045, 2554, 924, 30, 13486, 36, 1733, 924, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 668, 81, 4373, 81, 6332, 81, 266, 81, 27078, 683, 291, 415, 43290, 81, 314, 438, 1665, 461, 630, 32, 27078, 81, 314, 438, 646, 1665, 44, 324, 43290, 81, 314, 280, 630, 32, 27078, 81, 314, 291, 813, 44, 324, 3124, 280, 330, 12014, 372, 9921, 33545, 2484, 372, 793, 372, 1487, 322, 7337, 7051, 25, 324, 1245, 32, 731, 26, 2076, 27, 324, 3636, 13486, 36, 1733, 924, 26, 2076, 27, 584, 588, 2648, 312, 2761, 544, 322, 33545, 2484, 291, 10582, 280, 428, 324, 301, 400, 330, 558, 950, 330, 27078, 31, 314, 370, 400, 330, 3354, 950, 428, 27078, 81, 314, 79, 324, 320, 291, 1481, 584, 588, 1390, 312, 1149, 432, 7663, 8351, 328, 322, 33545, 291, 1245, 32, 1338, 463, 1625, 299, 436, 312, 1149, 432, 7663, 8351, 328, 33545, 2484, 44, 301, 104, 16805, 1643, 26, 104, 47, 27078, 81, 314, 490, 291, 1596, 44, 324, 7663, 81, 6332, 280, 630, 32, 1580, 32, 7628, 81, 4373, 81, 6332, 26, 54, 994, 2529, 47, 2700, 30, 34163, 47, 9211, 27, 291, 2940, 5675, 924, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 330, 12014, 372, 2467, 9045, 436, 312, 1149, 432, 7663, 8351, 328, 33545, 2484, 44, 301, 104, 4104, 96, 109, 87, 16805, 1643, 26, 400, 354, 47, 27078, 81, 314, 30, 484, 47, 466, 26, 327, 490, 324, 3636, 9045, 2554, 924, 30, 3124, 30, 8244, 291, 442, 7663, 81, 6332, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 316, 3897, 81, 4373, 81, 1363, 81, 23089, 26, 784, 30, 7663, 81, 1363, 81, 314, 30, 32105, 81, 7004, 711, 203, 1524, 14908, 27508, 1169, 32105, 7019, 436, 312, 7663, 2350, 1079, 2484, 499, 753, 7663, 81 ]
[ 1363, 81, 314, 44, 308, 466, 27, 7337, 7051, 2484, 499, 753, 2601, 44, 308, 466, 27, 14453, 8437, 1451, 499, 753, 32105, 81, 7004, 44, 308, 668, 27, 1682, 432, 4600, 4227, 308, 2970, 9045, 2330, 7730, 316, 44, 20585, 10966, 27, 499, 601, 44, 1665, 499, 16708, 44, 9045, 2554, 924, 30, 13486, 36, 1733, 924, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 47569, 81, 4373, 81, 1363, 81, 23089, 683, 291, 1245, 32, 1338, 463, 14908, 40474, 32105, 7019, 645, 7663, 2350, 44, 301, 89, 16805, 1643, 26, 89, 47, 4373, 81, 1363, 81, 314, 490, 291, 1596, 44, 324, 630, 32, 1580, 32, 47569, 81, 4373, 81, 1363, 81, 23089, 26, 400, 475, 994, 2529, 47, 2700, 30, 400, 7051, 606, 47, 4373, 81, 1363, 81, 314, 30, 400, 20585, 10966, 47, 23089, 81, 7004, 27, 291, 2940, 5675, 924, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 330, 12014, 372, 3345, 4905, 7337, 7051, 7019, 436, 2601, 645, 7337, 7051, 44, 301, 89, 4104, 96, 109, 87, 16805, 1643, 26, 400, 485, 47, 4373, 81, 1363, 81, 314, 30, 484, 47, 466, 26, 327, 490, 324, 3636, 9045, 2554, 924, 30, 3124, 30, 8244, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 11303, 81, 2386, 26, 784, 30, 3860, 91, 81, 314, 30, 1202, 81, 426, 30, 20072, 81, 314, 30, 7663, 81, 1363, 81, 314, 47, 2521, 30, 7663, 81, 1363, 81, 668, 47, 2521, 30, 1256, 81, 605, 81, 1423, 81, 983, 47, 2521, 30, 1980, 81, 681, 1057, 102, 36, 32, 4884, 370, 3051, 81, 2929, 81, 426, 20183, 1902, 33, 23979, 1804, 7831, 203, 1524, 7403, 42255, 600, 13486, 36, 1980, 623, 322, 3191, 3377, 30, 14212, 372, 11303, 600, 1980, 436, 10064, 432, 312, 2198, 69, 37, 4460, 3079, 32, 499, 753, 3860, 91, 81, 314, 44, 308, 466, 27, 2484, 432, 322, 399, 5891, 372, 11303, 645, 499, 753, 1202, 81, 426, 44, 308, 466, 27, 3270, 432, 322, 1202, 31, 5210, 372, 793, 499, 753, 20072, 81, 314, 44, 308, 466, 27, 5503, 432, 322, 33545, 20072, 372, 12386, 322, 1980, 372, 499, 753, 7663, 81, 1363, 81, 314, 44, 308, 466, 27, 2484, 432, 322, 7663, 2350, 30, 432, 646, 3943, 322, 1244, 1098, 526, 9547, 22363, 372, 7663, 81, 1363, 81, 668, 415, 3943, 499, 753, 7663, 81, 1363, 81, 314, 81, 668, 44, 308, 668, 27, 432, 15342, 432, 322, 7663, 2350, 30, 415, 646, 3943, 322, 1244, 1098, 526, 9547, 499, 753, 1256, 81, 605, 81, 1423, 81, 983, 44, 308, 466, 27, 5380, 372, 322, 1256, 31, 605, 3261, 372, 1420, 499, 753, 1980, 81, 681, 44, 308, 466, 27, 11617, 2768, 308, 87, 32, 89, 32, 273, 36, 32, 9441, 27, 499, 753, 3051, 81, 2929, 81, 426, 44, 308, 466, 27, 886, 3298, 636, 436, 322, 3051, 6864, 499, 601, 44, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 10574, 81, 2386, 683, 291, 1245, 32, 1338, 463, 11651, 299, 623, 399, 5891, 2484, 44, 301, 83, 16805, 1643, 26, 83, 47, 12401, 81, 314, 490, 291, 1245, 32, 1338, 463, 11651, 299, 623, 3891, 16588, 44, 301, 93, 16805, 1643, 26, 93, 47, 678, 81, 426, 490, 584, 415, 7663, 81, 1363, 81, 668, 44, 324, 415, 646, 6937, 26, 4373, 81, 1363, 81, 668, 30, 1149, 711, 400, 3636, 13486, 36, 1733, 924, 463, 4373, 81, 1363, 81, 668, 2298, 526, 312, 1149, 683, 584, 415, 7663, 81, 1363, 81, 314, 461, 7663, 81, 1363, 81, 668, 44, 324, 7663, 81, 1363, 81, 668, 32, 1689, 26, 4373, 81, 1363, 81, 314, 27, 291, 4348, 7663, 81, 1363, 81, 314, 461, 646, 7663, 81, 1363, 81, 668, 44, 324, 7663, 81, 1363, 81, 668, 280, 428, 4373, 81, 1363, 81, 314, 79, 324, 1245, 32, 1338, 463, 11651, 299, 623, 7663, 2350, 1149, 44, 301, 101, 16805, 1643, 26, 101, 47, 4373, 81, 1363, 81, 668, 490, 291, 1256, 81, 605, 280, 1665, 291, 415, 1256, 81, 605, 81, 1423, 81, 983, 438, 646, 1665, 44, 324, 415, 2322, 32, 983, 32, 29712, 26, 496, 81, 605, 81, 1423, 81, 983, 711, 400, 623, 2156, 26, 496, 81, 605, 81, 1423, 81, 983, 30, 330, 100, 683, 619, 296, 44, 528, 1256, 81, 605, 280, 296, 32, 850, 346, 291, 20317, 280, 5053, 3990, 950, 3177, 111, 291, 2163, 81, 2929, 81, 28331, 280, 428, 324, 301, 400, 330, 3033, 558, 950, 3051, 81, 2929, 81, 426, 30, 400, 330, 55, 3883, 950, 301, 528, 330, 6795, 1250, 950, 225, 35, 34, 34, 30, 528, 330, 3410, 1484, 36996, 950, 2933, 400, 320, 324, 320, 291, 1481, 291, 1245, 32, 1338, 463, 1076, 38579, 372, 11303, 322, 13486, 36, 1980, 2464, 30865, 291, 1596, 44, 324, 1789, 280, 630, 32, 1580, 32, 1945, 81, 12182, 26, 400, 475, 994, 2529, 47, 2700, 30, 400, 4361, 606, 47, 12401, 81, 314, 30, 400, 7507, 1534, 47, 35, 30, 400, 7462, 1534, 47, 35, 30, 400, 3891, 558, 47, 678, 81, 426, 30, 400, 7337, 1564, 5332, 47, 4373, 81, 1363, 81, 668, 30, 400, 2680, 750, 47, 496, 81, 605, 30, 400, 11617, 620, 47, 2386, 81, 681, 30, 400, 38489, 47, 20644, 30, 400, 3725, 1299, 606, 47, 19838, 81, 314, 30, 400, 11617, 48754, 733, 19680, 11117, 1057, 4048, 370, 400, 6575, 3033, 18520, 47, 1521, 81, 2929, 81, 28331, 324, 829, 291, 2940, 5675, 924, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 8930, 96, 10696, 5802, 1597, 312, 3708, 11303, 299, 322, 13486, 36, 1980, 78, 96, 109, 87, 16805, 1643, 26, 96, 47, 327, 3667, 823, 29215, 426, 7642, 484, 47, 466, 26, 327, 490, 324, 3636 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1363, 81, 314, 44, 308, 466, 27, 7337, 7051, 2484, 499, 753, 2601, 44, 308, 466, 27, 14453, 8437, 1451, 499, 753, 32105, 81, 7004, 44, 308, 668, 27, 1682, 432, 4600, 4227, 308, 2970, 9045, 2330, 7730, 316, 44, 20585, 10966, 27, 499, 601, 44, 1665, 499, 16708, 44, 9045, 2554, 924, 30, 13486, 36, 1733, 924, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 47569, 81, 4373, 81, 1363, 81, 23089, 683, 291, 1245, 32, 1338, 463, 14908, 40474, 32105, 7019, 645, 7663, 2350, 44, 301, 89, 16805, 1643, 26, 89, 47, 4373, 81, 1363, 81, 314, 490, 291, 1596, 44, 324, 630, 32, 1580, 32, 47569, 81, 4373, 81, 1363, 81, 23089, 26, 400, 475, 994, 2529, 47, 2700, 30, 400, 7051, 606, 47, 4373, 81, 1363, 81, 314, 30, 400, 20585, 10966, 47, 23089, 81, 7004, 27, 291, 2940, 5675, 924, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 330, 12014, 372, 3345, 4905, 7337, 7051, 7019, 436, 2601, 645, 7337, 7051, 44, 301, 89, 4104, 96, 109, 87, 16805, 1643, 26, 400, 485, 47, 4373, 81, 1363, 81, 314, 30, 484, 47, 466, 26, 327, 490, 324, 3636, 9045, 2554, 924, 30, 3124, 30, 8244, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 11303, 81, 2386, 26, 784, 30, 3860, 91, 81, 314, 30, 1202, 81, 426, 30, 20072, 81, 314, 30, 7663, 81, 1363, 81, 314, 47, 2521, 30, 7663, 81, 1363, 81, 668, 47, 2521, 30, 1256, 81, 605, 81, 1423, 81, 983, 47, 2521, 30, 1980, 81, 681, 1057, 102, 36, 32, 4884, 370, 3051, 81, 2929, 81, 426, 20183, 1902, 33, 23979, 1804, 7831, 203, 1524, 7403, 42255, 600, 13486, 36, 1980, 623, 322, 3191, 3377, 30, 14212, 372, 11303, 600, 1980, 436, 10064, 432, 312, 2198, 69, 37, 4460, 3079, 32, 499, 753, 3860, 91, 81, 314, 44, 308, 466, 27, 2484, 432, 322, 399, 5891, 372, 11303, 645, 499, 753, 1202, 81, 426, 44, 308, 466, 27, 3270, 432, 322, 1202, 31, 5210, 372, 793, 499, 753, 20072, 81, 314, 44, 308, 466, 27, 5503, 432, 322, 33545, 20072, 372, 12386, 322, 1980, 372, 499, 753, 7663, 81, 1363, 81, 314, 44, 308, 466, 27, 2484, 432, 322, 7663, 2350, 30, 432, 646, 3943, 322, 1244, 1098, 526, 9547, 22363, 372, 7663, 81, 1363, 81, 668, 415, 3943, 499, 753, 7663, 81, 1363, 81, 314, 81, 668, 44, 308, 668, 27, 432, 15342, 432, 322, 7663, 2350, 30, 415, 646, 3943, 322, 1244, 1098, 526, 9547, 499, 753, 1256, 81, 605, 81, 1423, 81, 983, 44, 308, 466, 27, 5380, 372, 322, 1256, 31, 605, 3261, 372, 1420, 499, 753, 1980, 81, 681, 44, 308, 466, 27, 11617, 2768, 308, 87, 32, 89, 32, 273, 36, 32, 9441, 27, 499, 753, 3051, 81, 2929, 81, 426, 44, 308, 466, 27, 886, 3298, 636, 436, 322, 3051, 6864, 499, 601, 44, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 10574, 81, 2386, 683, 291, 1245, 32, 1338, 463, 11651, 299, 623, 399, 5891, 2484, 44, 301, 83, 16805, 1643, 26, 83, 47, 12401, 81, 314, 490, 291, 1245, 32, 1338, 463, 11651, 299, 623, 3891, 16588, 44, 301, 93, 16805, 1643, 26, 93, 47, 678, 81, 426, 490, 584, 415, 7663, 81, 1363, 81, 668, 44, 324, 415, 646, 6937, 26, 4373, 81, 1363, 81, 668, 30, 1149, 711, 400, 3636, 13486, 36, 1733, 924, 463, 4373, 81, 1363, 81, 668, 2298, 526, 312, 1149, 683, 584, 415, 7663, 81, 1363, 81, 314, 461, 7663, 81, 1363, 81, 668, 44, 324, 7663, 81, 1363, 81, 668, 32, 1689, 26, 4373, 81, 1363, 81, 314, 27, 291, 4348, 7663, 81, 1363, 81, 314, 461, 646, 7663, 81, 1363, 81, 668, 44, 324, 7663, 81, 1363, 81, 668, 280, 428, 4373, 81, 1363, 81, 314, 79, 324, 1245, 32, 1338, 463, 11651, 299, 623, 7663, 2350, 1149, 44, 301, 101, 16805, 1643, 26, 101, 47, 4373, 81, 1363, 81, 668, 490, 291, 1256, 81, 605, 280, 1665, 291, 415, 1256, 81, 605, 81, 1423, 81, 983, 438, 646, 1665, 44, 324, 415, 2322, 32, 983, 32, 29712, 26, 496, 81, 605, 81, 1423, 81, 983, 711, 400, 623, 2156, 26, 496, 81, 605, 81, 1423, 81, 983, 30, 330, 100, 683, 619, 296, 44, 528, 1256, 81, 605, 280, 296, 32, 850, 346, 291, 20317, 280, 5053, 3990, 950, 3177, 111, 291, 2163, 81, 2929, 81, 28331, 280, 428, 324, 301, 400, 330, 3033, 558, 950, 3051, 81, 2929, 81, 426, 30, 400, 330, 55, 3883, 950, 301, 528, 330, 6795, 1250, 950, 225, 35, 34, 34, 30, 528, 330, 3410, 1484, 36996, 950, 2933, 400, 320, 324, 320, 291, 1481, 291, 1245, 32, 1338, 463, 1076, 38579, 372, 11303, 322, 13486, 36, 1980, 2464, 30865, 291, 1596, 44, 324, 1789, 280, 630, 32, 1580, 32, 1945, 81, 12182, 26, 400, 475, 994, 2529, 47, 2700, 30, 400, 4361, 606, 47, 12401, 81, 314, 30, 400, 7507, 1534, 47, 35, 30, 400, 7462, 1534, 47, 35, 30, 400, 3891, 558, 47, 678, 81, 426, 30, 400, 7337, 1564, 5332, 47, 4373, 81, 1363, 81, 668, 30, 400, 2680, 750, 47, 496, 81, 605, 30, 400, 11617, 620, 47, 2386, 81, 681, 30, 400, 38489, 47, 20644, 30, 400, 3725, 1299, 606, 47, 19838, 81, 314, 30, 400, 11617, 48754, 733, 19680, 11117, 1057, 4048, 370, 400, 6575, 3033, 18520, 47, 1521, 81, 2929, 81, 28331, 324, 829, 291, 2940, 5675, 924, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 8930, 96, 10696, 5802, 1597, 312, 3708, 11303, 299, 322, 13486, 36, 1980, 78, 96, 109, 87, 16805, 1643, 26, 96, 47, 327, 3667, 823, 29215, 426, 7642, 484, 47, 466, 26, 327, 490, 324, 3636 ]
[ 13486, 36, 1733, 924, 30, 3124, 30, 8244, 291, 1980, 81, 314, 280, 1789, 710, 8354, 8150, 34, 5795, 23976, 785, 291, 1688, 280, 301, 324, 330, 23976, 950, 1980, 81, 314, 30, 324, 330, 1810, 1120, 950, 1789, 710, 8354, 8150, 34, 79, 291, 320, 291, 442, 1688, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 735, 36, 81, 12182, 26, 784, 711, 203, 1524, 16075, 11397, 322, 13486, 36, 6942, 499, 601, 44, 5436, 6621, 13486, 36, 1980, 706, 499, 16708, 44, 13486, 36, 1733, 924, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 371, 81, 735, 36, 81, 12182, 683, 291, 1245, 32, 1338, 463, 16075, 12496, 13486, 36, 6942, 30865, 291, 1596, 44, 324, 1789, 280, 630, 32, 1580, 32, 7628, 81, 12182, 346, 291, 2940, 5675, 924, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 8930, 96, 10696, 5802, 1597, 312, 3708, 22376, 13486, 36, 6942, 78, 96, 109, 87, 16805, 1643, 26, 96, 47, 327, 3667, 823, 29215, 426, 7642, 484, 47, 466, 26, 327, 490, 324, 3636, 13486, 36, 1733, 924, 30, 3124, 30, 8244, 291, 442, 1789, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 7730, 81, 4538, 26, 2095, 30, 38849, 30, 4479, 81, 1055, 30, 1420, 81, 1409, 288, 17206, 711, 203, 588, 827, 44, 308, 2942, 32, 1222, 30, 1560, 30, 1560, 30, 1560, 27, 967, 1665, 1524, 5238, 2074, 4333, 32, 1348, 2016, 1098, 1420, 309, 27392, 31, 612, 1427, 1932, 372, 4450, 322, 4121, 4333, 436, 322, 1340, 1695, 32, 7766, 561, 1098, 1420, 309, 27392, 372, 4450, 322, 1158, 7730, 32, 2448, 883, 8488, 322, 3362, 688, 15321, 322, 7730, 1914, 308, 1055, 32, 9632, 30, 3570, 32, 978, 30, 5774, 7447, 1471, 322, 31649, 81, 12784, 81, 4065, 3570, 2677, 32, 701, 1135, 844, 1849, 561, 30, 322, 309, 27392, 1968, 3362, 438, 15282, 328, 4102, 9492, 81, 3197, 33, 2180, 16688, 886, 4121, 4333, 1098, 526, 4723, 436, 1169, 14904, 14021, 1531, 330, 4182, 14867, 81, 47442, 3570, 2677, 32, 4517, 1244, 561, 438, 3502, 1259, 1289, 4121, 7730, 884, 4723, 32, 12134, 3383, 403, 766, 84, 1968, 81, 1515, 44, 5608, 1832, 25, 7730, 44, 1519, 44, 330, 2180, 25, 4121, 44, 429, 330, 1617, 33, 1772, 4652, 25, 15950, 403, 766, 84, 398, 298, 13166, 774, 7730, 588, 10945, 7730, 436, 322, 2074, 398, 298, 13166, 774, 7730, 769, 1347, 31, 1055, 588, 17221, 2575, 4121, 1650, 398, 298, 13166, 774, 7730, 769, 268, 1297, 769, 1347, 31, 1055, 588, 5238, 7730, 645, 5063, 309, 1089, 1524, 446, 415, 3692, 32, 5817, 20097, 81, 1113, 2501, 44, 291, 442, 446, 645, 298, 13166, 774, 32, 4557, 1188, 7730, 284, 7730, 32, 2180, 26, 268, 1297, 30, 4479, 81, 1055, 30, 1420, 81, 1409, 288, 17206, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 619, 81, 800, 26, 853, 711, 203, 1524, 6720, 312, 786, 372, 312, 23174, 1300, 436, 9215, 623, 312, 2467, 32, 1665, 16649, 322, 3502, 802, 32, 4517, 858, 100, 2052, 884, 45889, 17355, 32, 1524, 446, 415, 18792, 32, 5177, 36, 44, 291, 3112, 81, 2516, 280, 3112, 30, 4117, 1071, 225, 588, 16401, 44, 506, 42, 36, 35, 284, 813, 44, 291, 3112, 81, 2516, 280, 4117, 1071, 446, 415, 786, 438, 1665, 44, 291, 442, 1044, 2699, 284, 4348, 6937, 26, 853, 30, 3112, 81, 2516, 711, 291, 442, 3519, 26, 853, 547, 5460, 463, 3310, 42, 370, 330, 3617, 683, 284, 4348, 6937, 26, 853, 30, 3519, 711, 291, 442, 786, 32, 5460, 463, 3310, 42, 370, 330, 3617, 683, 284, 813, 44, 291, 442, 18792, 32, 878, 81, 681, 26, 853, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2503, 444, 81, 983, 26, 983, 30, 17584, 47, 103, 920, 330, 711, 203, 1524, 30195, 372, 9843, 312, 810, 858, 2582, 1519, 372, 312, 15390, 1300, 436, 322, 11664, 432, 25941, 561, 372, 322, 1256, 32, 1670, 322, 529, 983, 82, 2793, 438, 312, 1149, 556, 312, 8825, 30, 322, 4702, 884, 27033, 623, 529, 12637, 2541, 1524, 446, 415, 6937, 26, 983, 30, 308, 668, 30, 8825, 8531, 291, 442, 17584, 32, 2524, 26, 2751, 444, 81, 983, 26, 98, 27, 436, 298, 328, 1519, 27, 284, 4348, 6937, 26, 983, 30, 18792, 32, 878, 81, 681, 711, 291, 442, 1519, 284, 4348, 646, 6937, 26, 983, 30, 3519, 711, 291, 588, 399, 2979, 31, 800, 1300, 44, 2258, 622, 2819, 15390, 10293, 32, 291, 442, 18792, 32, 878, 81, 681, 26, 983, 27, 446, 1596, 44, 291, 442, 1519, 32, 5460, 2176, 2548, 8644, 1026, 330, 3617, 683, 284, 2940, 308, 14923, 924, 30, 23940, 924, 711, 291, 442, 1519, 32, 5460, 463, 3310, 42, 370, 330, 3617, 683, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2866, 26, 1648, 711, 203, 588, 827, 44, 308, 466, 27, 967, 1665, 1524, 5950, 322, 2702, 1503, 372, 322, 20418, 81, 3539, 1524, 446, 415, 646, 438, 81, 1327, 26, 1648, 711, 291, 3636, 10091, 440, 3817, 1503, 44, 4939, 1643, 26, 1648, 490, 446, 4759, 280, 622, 81, 1648, 81, 4219, 346, 284, 4759, 32, 1821, 26, 1648, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 1648, 81, 4219, 2262, 203, 588, 827, 44, 1404, 967, 3036, 3566, 1524 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13486, 36, 1733, 924, 30, 3124, 30, 8244, 291, 1980, 81, 314, 280, 1789, 710, 8354, 8150, 34, 5795, 23976, 785, 291, 1688, 280, 301, 324, 330, 23976, 950, 1980, 81, 314, 30, 324, 330, 1810, 1120, 950, 1789, 710, 8354, 8150, 34, 79, 291, 320, 291, 442, 1688, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 735, 36, 81, 12182, 26, 784, 711, 203, 1524, 16075, 11397, 322, 13486, 36, 6942, 499, 601, 44, 5436, 6621, 13486, 36, 1980, 706, 499, 16708, 44, 13486, 36, 1733, 924, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 371, 81, 735, 36, 81, 12182, 683, 291, 1245, 32, 1338, 463, 16075, 12496, 13486, 36, 6942, 30865, 291, 1596, 44, 324, 1789, 280, 630, 32, 1580, 32, 7628, 81, 12182, 346, 291, 2940, 5675, 924, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 8930, 96, 10696, 5802, 1597, 312, 3708, 22376, 13486, 36, 6942, 78, 96, 109, 87, 16805, 1643, 26, 96, 47, 327, 3667, 823, 29215, 426, 7642, 484, 47, 466, 26, 327, 490, 324, 3636, 13486, 36, 1733, 924, 30, 3124, 30, 8244, 291, 442, 1789, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 7730, 81, 4538, 26, 2095, 30, 38849, 30, 4479, 81, 1055, 30, 1420, 81, 1409, 288, 17206, 711, 203, 588, 827, 44, 308, 2942, 32, 1222, 30, 1560, 30, 1560, 30, 1560, 27, 967, 1665, 1524, 5238, 2074, 4333, 32, 1348, 2016, 1098, 1420, 309, 27392, 31, 612, 1427, 1932, 372, 4450, 322, 4121, 4333, 436, 322, 1340, 1695, 32, 7766, 561, 1098, 1420, 309, 27392, 372, 4450, 322, 1158, 7730, 32, 2448, 883, 8488, 322, 3362, 688, 15321, 322, 7730, 1914, 308, 1055, 32, 9632, 30, 3570, 32, 978, 30, 5774, 7447, 1471, 322, 31649, 81, 12784, 81, 4065, 3570, 2677, 32, 701, 1135, 844, 1849, 561, 30, 322, 309, 27392, 1968, 3362, 438, 15282, 328, 4102, 9492, 81, 3197, 33, 2180, 16688, 886, 4121, 4333, 1098, 526, 4723, 436, 1169, 14904, 14021, 1531, 330, 4182, 14867, 81, 47442, 3570, 2677, 32, 4517, 1244, 561, 438, 3502, 1259, 1289, 4121, 7730, 884, 4723, 32, 12134, 3383, 403, 766, 84, 1968, 81, 1515, 44, 5608, 1832, 25, 7730, 44, 1519, 44, 330, 2180, 25, 4121, 44, 429, 330, 1617, 33, 1772, 4652, 25, 15950, 403, 766, 84, 398, 298, 13166, 774, 7730, 588, 10945, 7730, 436, 322, 2074, 398, 298, 13166, 774, 7730, 769, 1347, 31, 1055, 588, 17221, 2575, 4121, 1650, 398, 298, 13166, 774, 7730, 769, 268, 1297, 769, 1347, 31, 1055, 588, 5238, 7730, 645, 5063, 309, 1089, 1524, 446, 415, 3692, 32, 5817, 20097, 81, 1113, 2501, 44, 291, 442, 446, 645, 298, 13166, 774, 32, 4557, 1188, 7730, 284, 7730, 32, 2180, 26, 268, 1297, 30, 4479, 81, 1055, 30, 1420, 81, 1409, 288, 17206, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 619, 81, 800, 26, 853, 711, 203, 1524, 6720, 312, 786, 372, 312, 23174, 1300, 436, 9215, 623, 312, 2467, 32, 1665, 16649, 322, 3502, 802, 32, 4517, 858, 100, 2052, 884, 45889, 17355, 32, 1524, 446, 415, 18792, 32, 5177, 36, 44, 291, 3112, 81, 2516, 280, 3112, 30, 4117, 1071, 225, 588, 16401, 44, 506, 42, 36, 35, 284, 813, 44, 291, 3112, 81, 2516, 280, 4117, 1071, 446, 415, 786, 438, 1665, 44, 291, 442, 1044, 2699, 284, 4348, 6937, 26, 853, 30, 3112, 81, 2516, 711, 291, 442, 3519, 26, 853, 547, 5460, 463, 3310, 42, 370, 330, 3617, 683, 284, 4348, 6937, 26, 853, 30, 3519, 711, 291, 442, 786, 32, 5460, 463, 3310, 42, 370, 330, 3617, 683, 284, 813, 44, 291, 442, 18792, 32, 878, 81, 681, 26, 853, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2503, 444, 81, 983, 26, 983, 30, 17584, 47, 103, 920, 330, 711, 203, 1524, 30195, 372, 9843, 312, 810, 858, 2582, 1519, 372, 312, 15390, 1300, 436, 322, 11664, 432, 25941, 561, 372, 322, 1256, 32, 1670, 322, 529, 983, 82, 2793, 438, 312, 1149, 556, 312, 8825, 30, 322, 4702, 884, 27033, 623, 529, 12637, 2541, 1524, 446, 415, 6937, 26, 983, 30, 308, 668, 30, 8825, 8531, 291, 442, 17584, 32, 2524, 26, 2751, 444, 81, 983, 26, 98, 27, 436, 298, 328, 1519, 27, 284, 4348, 6937, 26, 983, 30, 18792, 32, 878, 81, 681, 711, 291, 442, 1519, 284, 4348, 646, 6937, 26, 983, 30, 3519, 711, 291, 588, 399, 2979, 31, 800, 1300, 44, 2258, 622, 2819, 15390, 10293, 32, 291, 442, 18792, 32, 878, 81, 681, 26, 983, 27, 446, 1596, 44, 291, 442, 1519, 32, 5460, 2176, 2548, 8644, 1026, 330, 3617, 683, 284, 2940, 308, 14923, 924, 30, 23940, 924, 711, 291, 442, 1519, 32, 5460, 463, 3310, 42, 370, 330, 3617, 683, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2866, 26, 1648, 711, 203, 588, 827, 44, 308, 466, 27, 967, 1665, 1524, 5950, 322, 2702, 1503, 372, 322, 20418, 81, 3539, 1524, 446, 415, 646, 438, 81, 1327, 26, 1648, 711, 291, 3636, 10091, 440, 3817, 1503, 44, 4939, 1643, 26, 1648, 490, 446, 4759, 280, 622, 81, 1648, 81, 4219, 346, 284, 4759, 32, 1821, 26, 1648, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 1648, 81, 4219, 2262, 203, 588, 827, 44, 1404, 967, 3036, 3566, 1524 ]
[ 1390, 1503, 4759, 436, 322, 2702, 1503, 803, 32, 886, 4759, 6863, 1654, 12428, 544, 322, 5016, 432, 322, 319, 1648, 81, 761, 8440, 1524, 446, 1503, 81, 761, 280, 3570, 32, 371, 81, 983, 463, 1648, 81, 761, 370, 330, 4530, 683, 284, 415, 1503, 81, 761, 32, 20643, 3949, 978, 7831, 291, 442, 4354, 2062, 3566, 26, 1648, 81, 761, 27, 284, 4348, 1503, 81, 761, 32, 20643, 463, 1320, 32, 1260, 7831, 291, 442, 4004, 2062, 3566, 26, 1648, 81, 761, 27, 284, 813, 44, 291, 442, 16289, 2062, 3566, 26, 1648, 81, 761, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2866, 26, 784, 30, 1503, 711, 203, 588, 827, 44, 308, 466, 27, 967, 1665, 1524, 5950, 322, 2074, 1503, 372, 638, 978, 803, 32, 1348, 1098, 9667, 3233, 328, 322, 803, 436, 312, 4102, 505, 1648, 505, 280, 20418, 81, 5203, 572, 461, 37894, 322, 1503, 802, 436, 322, 537, 1503, 32, 1524, 584, 623, 2156, 26, 784, 32, 1648, 81, 761, 27, 619, 11828, 44, 324, 1795, 280, 11828, 32, 850, 346, 584, 2643, 81, 9849, 280, 9602, 1648, 505, 280, 30267, 2296, 1643, 26, 1648, 27, 291, 537, 81, 1286, 280, 3042, 81, 5177, 81, 4530, 32, 1113, 26, 424, 81, 9849, 30, 1795, 27, 291, 5980, 32, 1821, 81, 761, 26, 784, 32, 1648, 81, 761, 30, 537, 81, 1286, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1245, 8387, 26, 106, 30, 312, 30, 323, 711, 203, 1524, 13010, 24087, 667, 688, 15822, 322, 1245, 31176, 11580, 20272, 5247, 32, 312, 461, 323, 884, 322, 34726, 101, 7103, 446, 11220, 695, 280, 225, 35, 34, 32, 34, 474, 225, 43, 43, 34, 32, 34, 319, 308, 106, 31, 1808, 26, 83, 490, 13824, 84, 31, 83, 27, 284, 442, 308, 2356, 32, 751, 35, 34, 26, 1800, 695, 7824, 35, 32, 34, 4586, 34, 32, 39, 319, 225, 36, 39, 39, 32, 34, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 316, 1771, 26, 784, 30, 10365, 711, 203, 1524, 439, 28819, 631, 316, 1771, 1370, 1778, 810, 312, 2702, 10365, 32, 2448, 9639, 6377, 312, 10365, 30, 461, 439, 1098, 23840, 4818, 9347, 432, 312, 22038, 372, 18002, 322, 1778, 372, 1426, 873, 31, 12565, 31, 1028, 31, 8761, 31, 9410, 13135, 32, 5830, 688, 415, 844, 22038, 1370, 1778, 2670, 30, 844, 2298, 7029, 22038, 372, 13022, 13135, 653, 2688, 1974, 322, 323, 5267, 3260, 30, 458, 6972, 844, 372, 5171, 544, 322, 1778, 6125, 30, 4204, 1471, 322, 556, 627, 564, 6573, 10517, 32, 9540, 996, 1389, 544, 322, 6436, 1417, 32, 1524, 46703, 415, 630, 32, 39978, 893, 863, 1665, 44, 324, 3636, 26405, 30, 313, 11394, 316, 1771, 18380, 30, 35381, 1778, 3425, 5375, 653, 20, 2746, 415, 827, 26, 9410, 27, 863, 827, 26, 34, 711, 324, 3636, 26405, 30, 313, 435, 1771, 10365, 2298, 526, 600, 4991, 653, 20, 2746, 415, 10365, 333, 225, 35, 44, 324, 442, 584, 3218, 3229, 280, 2065, 32, 26742, 26, 784, 32, 10337, 955, 32, 3229, 27, 291, 5349, 3229, 280, 3218, 3229, 429, 308, 3831, 3229, 904, 10365, 27, 291, 415, 646, 308, 3831, 3229, 610, 5349, 3229, 547, 464, 2262, 324, 415, 630, 32, 10529, 499, 400, 1459, 313, 435, 1771, 1223, 904, 782, 23, 91, 499, 439, 1159, 372, 22038, 645, 904, 101, 372, 904, 101, 20, 904, 308, 9410, 30, 10365, 30, 3218, 3229, 30, 5349, 3229, 27, 324, 630, 32, 16126, 26, 34, 30, 5349, 3229, 77, 34, 614, 225, 34, 30, 5349, 3229, 77, 35, 1130, 291, 813, 44, 324, 415, 630, 32, 10529, 499, 400, 1459, 313, 435, 1771, 1223, 904, 782, 23, 91, 499, 439, 745, 646, 1849, 372, 22038, 20, 904, 308, 9410, 30, 10365, 27, 46910, 630, 32, 10337, 955, 280, 316, 1771, 26, 784, 32, 10337, 955, 30, 5349, 3229, 33, 9410, 27, 588, 996, 1476, 322, 316, 1771, 667, 3417, 4794, 291, 588, 886, 4991, 20654, 5349, 3229, 33, 9410, 438, 3835, 30, 996, 8137, 436, 458, 3684, 32, 291, 630, 32, 1771, 9410, 280, 629, 26, 784, 32, 1771, 9410, 319, 10365, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 345, 19831, 1294, 26, 784, 711, 203, 1524, 13010, 24087, 1411, 372, 1930, 312, 5171, 1300, 415, 646, 6305, 3390, 32, 1348, 438, 2329, 3823, 810, 1539, 21759, 2816, 30, 1412, 996, 1983, 645, 498, 372, 15333, 30, 372, 622, 312, 537, 5171, 1300, 32, 1524, 584, 415, 630, 32, 3887, 610, 1665, 44, 324, 630, 32, 3887, 280, 3960, 7955, 32, 2886, 26, 784, 32, 39978, 893, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 973, 3287, 26, 784, 30, 10365, 711, 203, 1524, 886, 19385, 4212, 432, 316, 1771, 30, 9547, 544, 322, 35381, 1778, 32, 3278, 458, 2670, 4127, 1344, 556, 19749, 544, 322, 1778, 653, 886, 10517, 1098, 526, 6924, 12785, 436, 844, 1524, 46703, 630, 32, 1553, 979, 39978, 893, 346, 2746, 415, 827, 26, 9410, 27, 863, 827, 26, 34, 711, 324, 3636, 26405, 30, 313, 71, 1069, 969, 10365, 2298, 526, 600, 4991, 653, 20, 2746, 415, 630, 32, 10529, 44, 324, 1459, 313, 71, 1069, 10553, 810, 312, 10365, 432, 904, 91, 20, 904, 10365, 291, 630, 32, 39978, 893, 280, 630, 32, 39978, 893, 32, 8510, 1162, 784, 32, 39978, 893, 32, 891, 77, 34, 79, 319, 10365, 30, 630, 32, 39978, 893, 32, 891, 77, 35, 79, 319, 10365, 490, 291, 630, 32, 417, 3287 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1390, 1503, 4759, 436, 322, 2702, 1503, 803, 32, 886, 4759, 6863, 1654, 12428, 544, 322, 5016, 432, 322, 319, 1648, 81, 761, 8440, 1524, 446, 1503, 81, 761, 280, 3570, 32, 371, 81, 983, 463, 1648, 81, 761, 370, 330, 4530, 683, 284, 415, 1503, 81, 761, 32, 20643, 3949, 978, 7831, 291, 442, 4354, 2062, 3566, 26, 1648, 81, 761, 27, 284, 4348, 1503, 81, 761, 32, 20643, 463, 1320, 32, 1260, 7831, 291, 442, 4004, 2062, 3566, 26, 1648, 81, 761, 27, 284, 813, 44, 291, 442, 16289, 2062, 3566, 26, 1648, 81, 761, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2866, 26, 784, 30, 1503, 711, 203, 588, 827, 44, 308, 466, 27, 967, 1665, 1524, 5950, 322, 2074, 1503, 372, 638, 978, 803, 32, 1348, 1098, 9667, 3233, 328, 322, 803, 436, 312, 4102, 505, 1648, 505, 280, 20418, 81, 5203, 572, 461, 37894, 322, 1503, 802, 436, 322, 537, 1503, 32, 1524, 584, 623, 2156, 26, 784, 32, 1648, 81, 761, 27, 619, 11828, 44, 324, 1795, 280, 11828, 32, 850, 346, 584, 2643, 81, 9849, 280, 9602, 1648, 505, 280, 30267, 2296, 1643, 26, 1648, 27, 291, 537, 81, 1286, 280, 3042, 81, 5177, 81, 4530, 32, 1113, 26, 424, 81, 9849, 30, 1795, 27, 291, 5980, 32, 1821, 81, 761, 26, 784, 32, 1648, 81, 761, 30, 537, 81, 1286, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1245, 8387, 26, 106, 30, 312, 30, 323, 711, 203, 1524, 13010, 24087, 667, 688, 15822, 322, 1245, 31176, 11580, 20272, 5247, 32, 312, 461, 323, 884, 322, 34726, 101, 7103, 446, 11220, 695, 280, 225, 35, 34, 32, 34, 474, 225, 43, 43, 34, 32, 34, 319, 308, 106, 31, 1808, 26, 83, 490, 13824, 84, 31, 83, 27, 284, 442, 308, 2356, 32, 751, 35, 34, 26, 1800, 695, 7824, 35, 32, 34, 4586, 34, 32, 39, 319, 225, 36, 39, 39, 32, 34, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 316, 1771, 26, 784, 30, 10365, 711, 203, 1524, 439, 28819, 631, 316, 1771, 1370, 1778, 810, 312, 2702, 10365, 32, 2448, 9639, 6377, 312, 10365, 30, 461, 439, 1098, 23840, 4818, 9347, 432, 312, 22038, 372, 18002, 322, 1778, 372, 1426, 873, 31, 12565, 31, 1028, 31, 8761, 31, 9410, 13135, 32, 5830, 688, 415, 844, 22038, 1370, 1778, 2670, 30, 844, 2298, 7029, 22038, 372, 13022, 13135, 653, 2688, 1974, 322, 323, 5267, 3260, 30, 458, 6972, 844, 372, 5171, 544, 322, 1778, 6125, 30, 4204, 1471, 322, 556, 627, 564, 6573, 10517, 32, 9540, 996, 1389, 544, 322, 6436, 1417, 32, 1524, 46703, 415, 630, 32, 39978, 893, 863, 1665, 44, 324, 3636, 26405, 30, 313, 11394, 316, 1771, 18380, 30, 35381, 1778, 3425, 5375, 653, 20, 2746, 415, 827, 26, 9410, 27, 863, 827, 26, 34, 711, 324, 3636, 26405, 30, 313, 435, 1771, 10365, 2298, 526, 600, 4991, 653, 20, 2746, 415, 10365, 333, 225, 35, 44, 324, 442, 584, 3218, 3229, 280, 2065, 32, 26742, 26, 784, 32, 10337, 955, 32, 3229, 27, 291, 5349, 3229, 280, 3218, 3229, 429, 308, 3831, 3229, 904, 10365, 27, 291, 415, 646, 308, 3831, 3229, 610, 5349, 3229, 547, 464, 2262, 324, 415, 630, 32, 10529, 499, 400, 1459, 313, 435, 1771, 1223, 904, 782, 23, 91, 499, 439, 1159, 372, 22038, 645, 904, 101, 372, 904, 101, 20, 904, 308, 9410, 30, 10365, 30, 3218, 3229, 30, 5349, 3229, 27, 324, 630, 32, 16126, 26, 34, 30, 5349, 3229, 77, 34, 614, 225, 34, 30, 5349, 3229, 77, 35, 1130, 291, 813, 44, 324, 415, 630, 32, 10529, 499, 400, 1459, 313, 435, 1771, 1223, 904, 782, 23, 91, 499, 439, 745, 646, 1849, 372, 22038, 20, 904, 308, 9410, 30, 10365, 27, 46910, 630, 32, 10337, 955, 280, 316, 1771, 26, 784, 32, 10337, 955, 30, 5349, 3229, 33, 9410, 27, 588, 996, 1476, 322, 316, 1771, 667, 3417, 4794, 291, 588, 886, 4991, 20654, 5349, 3229, 33, 9410, 438, 3835, 30, 996, 8137, 436, 458, 3684, 32, 291, 630, 32, 1771, 9410, 280, 629, 26, 784, 32, 1771, 9410, 319, 10365, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 345, 19831, 1294, 26, 784, 711, 203, 1524, 13010, 24087, 1411, 372, 1930, 312, 5171, 1300, 415, 646, 6305, 3390, 32, 1348, 438, 2329, 3823, 810, 1539, 21759, 2816, 30, 1412, 996, 1983, 645, 498, 372, 15333, 30, 372, 622, 312, 537, 5171, 1300, 32, 1524, 584, 415, 630, 32, 3887, 610, 1665, 44, 324, 630, 32, 3887, 280, 3960, 7955, 32, 2886, 26, 784, 32, 39978, 893, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 973, 3287, 26, 784, 30, 10365, 711, 203, 1524, 886, 19385, 4212, 432, 316, 1771, 30, 9547, 544, 322, 35381, 1778, 32, 3278, 458, 2670, 4127, 1344, 556, 19749, 544, 322, 1778, 653, 886, 10517, 1098, 526, 6924, 12785, 436, 844, 1524, 46703, 630, 32, 1553, 979, 39978, 893, 346, 2746, 415, 827, 26, 9410, 27, 863, 827, 26, 34, 711, 324, 3636, 26405, 30, 313, 71, 1069, 969, 10365, 2298, 526, 600, 4991, 653, 20, 2746, 415, 630, 32, 10529, 44, 324, 1459, 313, 71, 1069, 10553, 810, 312, 10365, 432, 904, 91, 20, 904, 10365, 291, 630, 32, 39978, 893, 280, 630, 32, 39978, 893, 32, 8510, 1162, 784, 32, 39978, 893, 32, 891, 77, 34, 79, 319, 10365, 30, 630, 32, 39978, 893, 32, 891, 77, 35, 79, 319, 10365, 490, 291, 630, 32, 417, 3287 ]
[ 9410, 280, 10365, 2746, 630, 32, 3887, 280, 1665, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5171, 1493, 26, 784, 30, 816, 30, 533, 30, 20347, 280, 1665, 711, 203, 1524, 19525, 1994, 672, 19749, 30, 3982, 6573, 30, 1654, 31481, 436, 6325, 14998, 32, 44286, 884, 5521, 432, 1370, 2815, 1778, 653, 1524, 584, 630, 32, 1553, 979, 39978, 893, 346, 291, 20347, 280, 630, 32, 1536, 21759, 26, 21759, 27, 291, 630, 32, 2342, 21759, 2816, 26, 21759, 27, 291, 630, 32, 26738, 1294, 346, 2746, 308, 39978, 106, 30, 298, 2801, 27, 280, 630, 32, 39978, 11832, 1162, 106, 30, 107, 490, 2746, 630, 32, 3887, 32, 1493, 1162, 39978, 106, 30, 298, 2801, 471, 5318, 280, 20347, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2870, 364, 778, 26, 784, 30, 1780, 800, 30, 20347, 280, 1665, 711, 203, 1524, 2688, 2866, 312, 1780, 30, 33405, 4794, 322, 1778, 32, 1524, 46703, 630, 32, 1553, 979, 39978, 893, 346, 291, 20347, 280, 630, 32, 1536, 21759, 26, 21759, 27, 291, 630, 32, 2342, 21759, 2816, 26, 21759, 27, 291, 630, 32, 26738, 1294, 346, 2746, 630, 32, 944, 1311, 2186, 346, 2746, 4791, 1644, 280, 630, 32, 39978, 893, 32, 891, 77, 34, 79, 291, 4791, 2273, 280, 630, 32, 39978, 893, 32, 891, 77, 35, 79, 291, 1344, 1644, 280, 630, 32, 3887, 32, 878, 891, 26, 1311, 800, 30, 2357, 280, 630, 32, 1311, 2186, 5594, 34, 79, 291, 1344, 106, 966, 280, 4791, 1644, 33, 36, 32, 34, 429, 1344, 1644, 33, 36, 32, 34, 291, 1344, 107, 966, 280, 4791, 2273, 429, 225, 37, 34, 2746, 630, 32, 3887, 32, 878, 1162, 878, 106, 966, 30, 1344, 107, 966, 471, 1780, 800, 30, 5318, 280, 20347, 30, 2357, 280, 630, 32, 1311, 2186, 27, 2746, 415, 630, 32, 10529, 499, 324, 1459, 313, 59, 4763, 6638, 312, 1780, 544, 322, 1778, 3107, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2866, 1338, 26, 784, 30, 11220, 29357, 30, 20347, 280, 1665, 711, 203, 1524, 2688, 1015, 312, 8928, 7311, 432, 1344, 544, 322, 8342, 2841, 15573, 432, 322, 1778, 32, 14112, 11220, 29357, 30, 312, 1149, 432, 5852, 688, 1098, 526, 6638, 1591, 4794, 322, 1604, 32, 1524, 46703, 630, 32, 1553, 979, 39978, 893, 346, 291, 20347, 280, 630, 32, 1536, 21759, 26, 21759, 27, 291, 630, 32, 2342, 21759, 2816, 26, 21759, 27, 291, 630, 32, 26738, 1294, 346, 2746, 630, 32, 944, 1338, 2186, 346, 37129, 436, 595, 30, 1628, 328, 10703, 26, 1800, 29357, 711, 324, 2663, 10316, 280, 225, 39, 474, 308, 35, 36, 474, 225, 39, 4586, 91, 324, 630, 32, 3887, 32, 878, 1162, 35, 34, 30, 2663, 10316, 471, 1628, 30, 5318, 280, 20347, 30, 2357, 280, 630, 32, 1338, 2186, 27, 37129, 415, 630, 32, 10529, 499, 324, 1459, 313, 59, 4763, 6638, 1629, 3099, 544, 322, 1778, 3107, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5171, 27547, 668, 26, 784, 30, 5436, 668, 30, 540, 280, 225, 35, 34, 30, 20347, 280, 1665, 711, 203, 1524, 36499, 5171, 7207, 461, 2870, 342, 444, 436, 600, 1149, 432, 23127, 32, 14112, 312, 1149, 432, 2068, 382, 96, 5270, 30, 2154, 2504, 2068, 382, 96, 672, 4304, 313, 426, 392, 313, 106, 392, 461, 313, 107, 2296, 1524, 46703, 630, 32, 1553, 979, 39978, 893, 346, 291, 20347, 280, 630, 32, 1536, 21759, 26, 21759, 27, 291, 630, 32, 2342, 21759, 2816, 26, 21759, 27, 291, 630, 32, 26738, 1294, 346, 37129, 436, 12887, 328, 5436, 668, 44, 324, 630, 32, 3887, 7207, 26, 6443, 1365, 106, 3439, 12887, 1365, 107, 3439, 540, 280, 540, 30, 20347, 280, 20347, 30, 2266, 280, 12887, 1365, 426, 6890, 324, 588, 784, 32, 24473, 814, 26, 6443, 1365, 106, 3439, 12887, 1365, 107, 3439, 12887, 1365, 426, 3439, 540, 280, 540, 30, 20347, 280, 20347, 27, 2746, 415, 630, 32, 10529, 499, 324, 1459, 313, 59, 4763, 27000, 904, 91, 23127, 3107, 904, 2069, 26, 2665, 668, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 26076, 364, 26, 784, 30, 28388, 711, 203, 1524, 33847, 322, 35381, 1778, 1991, 312, 28515, 32, 2688, 745, 646, 2637, 372, 19567, 322, 1778, 821, 458, 10019, 30, 619, 844, 4796, 1159, 6638, 544, 561, 653, 1524, 46703, 630, 32, 1553, 979, 39978, 893, 346, 291, 415, 630, 32, 10529, 499, 324, 1459, 313, 25533, 1778, 372, 904, 101, 25378, 96, 23, 91, 816, 904, 91, 10862, 30, 2926, 904, 101, 20, 904, 308, 21932, 30, 630, 32, 39978, 893, 32, 891, 77, 34, 614, 630, 32, 39978, 893, 32, 891, 77, 35, 614, 630, 32, 39978, 893, 32, 2816, 27, 291, 630, 32, 39978, 893, 32, 2853, 26, 21932, 30, 313, 17189, 657, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 46583, 81, 5522, 26, 784, 30, 1326, 711, 203, 1524, 9013, 973, 322, 45612, 4826, 1789, 4122, 544, 322, 4070, 1654, 436, 322, 2330, 32, 499, 753, 1326, 44, 333, 978, 29382, 32, 1357, 32, 1104, 48, 1524, 584, 665, 46583, 81, 5078, 26, 1357, 30, 1789, 711, 324, 415, 1326, 32, 1959, 32, 5729, 346, 610, 330, 2184, 950, 400, 1789, 32, 5078, 32, 1877, 1371, 528, 6470, 2473, 2524, 2009, 98, 32, 34399, 346, 436, 298, 328, 831, 32, 2998, 14728, 683, 10794, 354, 528, 436, 831, 30, 354, 328, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9410, 280, 10365, 2746, 630, 32, 3887, 280, 1665, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5171, 1493, 26, 784, 30, 816, 30, 533, 30, 20347, 280, 1665, 711, 203, 1524, 19525, 1994, 672, 19749, 30, 3982, 6573, 30, 1654, 31481, 436, 6325, 14998, 32, 44286, 884, 5521, 432, 1370, 2815, 1778, 653, 1524, 584, 630, 32, 1553, 979, 39978, 893, 346, 291, 20347, 280, 630, 32, 1536, 21759, 26, 21759, 27, 291, 630, 32, 2342, 21759, 2816, 26, 21759, 27, 291, 630, 32, 26738, 1294, 346, 2746, 308, 39978, 106, 30, 298, 2801, 27, 280, 630, 32, 39978, 11832, 1162, 106, 30, 107, 490, 2746, 630, 32, 3887, 32, 1493, 1162, 39978, 106, 30, 298, 2801, 471, 5318, 280, 20347, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2870, 364, 778, 26, 784, 30, 1780, 800, 30, 20347, 280, 1665, 711, 203, 1524, 2688, 2866, 312, 1780, 30, 33405, 4794, 322, 1778, 32, 1524, 46703, 630, 32, 1553, 979, 39978, 893, 346, 291, 20347, 280, 630, 32, 1536, 21759, 26, 21759, 27, 291, 630, 32, 2342, 21759, 2816, 26, 21759, 27, 291, 630, 32, 26738, 1294, 346, 2746, 630, 32, 944, 1311, 2186, 346, 2746, 4791, 1644, 280, 630, 32, 39978, 893, 32, 891, 77, 34, 79, 291, 4791, 2273, 280, 630, 32, 39978, 893, 32, 891, 77, 35, 79, 291, 1344, 1644, 280, 630, 32, 3887, 32, 878, 891, 26, 1311, 800, 30, 2357, 280, 630, 32, 1311, 2186, 5594, 34, 79, 291, 1344, 106, 966, 280, 4791, 1644, 33, 36, 32, 34, 429, 1344, 1644, 33, 36, 32, 34, 291, 1344, 107, 966, 280, 4791, 2273, 429, 225, 37, 34, 2746, 630, 32, 3887, 32, 878, 1162, 878, 106, 966, 30, 1344, 107, 966, 471, 1780, 800, 30, 5318, 280, 20347, 30, 2357, 280, 630, 32, 1311, 2186, 27, 2746, 415, 630, 32, 10529, 499, 324, 1459, 313, 59, 4763, 6638, 312, 1780, 544, 322, 1778, 3107, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2866, 1338, 26, 784, 30, 11220, 29357, 30, 20347, 280, 1665, 711, 203, 1524, 2688, 1015, 312, 8928, 7311, 432, 1344, 544, 322, 8342, 2841, 15573, 432, 322, 1778, 32, 14112, 11220, 29357, 30, 312, 1149, 432, 5852, 688, 1098, 526, 6638, 1591, 4794, 322, 1604, 32, 1524, 46703, 630, 32, 1553, 979, 39978, 893, 346, 291, 20347, 280, 630, 32, 1536, 21759, 26, 21759, 27, 291, 630, 32, 2342, 21759, 2816, 26, 21759, 27, 291, 630, 32, 26738, 1294, 346, 2746, 630, 32, 944, 1338, 2186, 346, 37129, 436, 595, 30, 1628, 328, 10703, 26, 1800, 29357, 711, 324, 2663, 10316, 280, 225, 39, 474, 308, 35, 36, 474, 225, 39, 4586, 91, 324, 630, 32, 3887, 32, 878, 1162, 35, 34, 30, 2663, 10316, 471, 1628, 30, 5318, 280, 20347, 30, 2357, 280, 630, 32, 1338, 2186, 27, 37129, 415, 630, 32, 10529, 499, 324, 1459, 313, 59, 4763, 6638, 1629, 3099, 544, 322, 1778, 3107, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5171, 27547, 668, 26, 784, 30, 5436, 668, 30, 540, 280, 225, 35, 34, 30, 20347, 280, 1665, 711, 203, 1524, 36499, 5171, 7207, 461, 2870, 342, 444, 436, 600, 1149, 432, 23127, 32, 14112, 312, 1149, 432, 2068, 382, 96, 5270, 30, 2154, 2504, 2068, 382, 96, 672, 4304, 313, 426, 392, 313, 106, 392, 461, 313, 107, 2296, 1524, 46703, 630, 32, 1553, 979, 39978, 893, 346, 291, 20347, 280, 630, 32, 1536, 21759, 26, 21759, 27, 291, 630, 32, 2342, 21759, 2816, 26, 21759, 27, 291, 630, 32, 26738, 1294, 346, 37129, 436, 12887, 328, 5436, 668, 44, 324, 630, 32, 3887, 7207, 26, 6443, 1365, 106, 3439, 12887, 1365, 107, 3439, 540, 280, 540, 30, 20347, 280, 20347, 30, 2266, 280, 12887, 1365, 426, 6890, 324, 588, 784, 32, 24473, 814, 26, 6443, 1365, 106, 3439, 12887, 1365, 107, 3439, 12887, 1365, 426, 3439, 540, 280, 540, 30, 20347, 280, 20347, 27, 2746, 415, 630, 32, 10529, 499, 324, 1459, 313, 59, 4763, 27000, 904, 91, 23127, 3107, 904, 2069, 26, 2665, 668, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 26076, 364, 26, 784, 30, 28388, 711, 203, 1524, 33847, 322, 35381, 1778, 1991, 312, 28515, 32, 2688, 745, 646, 2637, 372, 19567, 322, 1778, 821, 458, 10019, 30, 619, 844, 4796, 1159, 6638, 544, 561, 653, 1524, 46703, 630, 32, 1553, 979, 39978, 893, 346, 291, 415, 630, 32, 10529, 499, 324, 1459, 313, 25533, 1778, 372, 904, 101, 25378, 96, 23, 91, 816, 904, 91, 10862, 30, 2926, 904, 101, 20, 904, 308, 21932, 30, 630, 32, 39978, 893, 32, 891, 77, 34, 614, 630, 32, 39978, 893, 32, 891, 77, 35, 614, 630, 32, 39978, 893, 32, 2816, 27, 291, 630, 32, 39978, 893, 32, 2853, 26, 21932, 30, 313, 17189, 657, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 46583, 81, 5522, 26, 784, 30, 1326, 711, 203, 1524, 9013, 973, 322, 45612, 4826, 1789, 4122, 544, 322, 4070, 1654, 436, 322, 2330, 32, 499, 753, 1326, 44, 333, 978, 29382, 32, 1357, 32, 1104, 48, 1524, 584, 665, 46583, 81, 5078, 26, 1357, 30, 1789, 711, 324, 415, 1326, 32, 1959, 32, 5729, 346, 610, 330, 2184, 950, 400, 1789, 32, 5078, 32, 1877, 1371, 528, 6470, 2473, 2524, 2009, 98, 32, 34399, 346, 436, 298, 328, 831, 32, 2998, 14728, 683, 10794, 354, 528, 436, 831, 30, 354, 328, 630 ]
[ 32, 26298, 81, 2184, 32, 3028, 346, 400, 1790, 324, 813, 44, 400, 7382, 280, 630, 32, 26298, 81, 2184, 32, 371, 463, 3560, 81, 2435, 81, 4568, 81, 6946, 370, 13838, 683, 400, 21955, 81, 5078, 280, 630, 32, 26298, 81, 2184, 32, 371, 463, 3560, 81, 2435, 81, 41856, 81, 5078, 370, 9142, 400, 1789, 32, 5078, 710, 2791, 31, 2422, 31, 6668, 31, 9009, 785, 280, 7382, 400, 415, 21955, 81, 5078, 44, 528, 1789, 32, 5078, 710, 2791, 31, 2422, 31, 31987, 31, 6267, 785, 280, 21955, 81, 5078, 584, 588, 4705, 322, 45612, 5420, 1789, 291, 1326, 32, 669, 81, 1986, 81, 4383, 26, 26298, 81, 5078, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 7763, 26, 784, 30, 1326, 30, 2935, 47, 2521, 30, 636, 47, 2521, 711, 203, 1524, 3759, 312, 537, 2719, 436, 322, 2702, 1326, 32, 499, 753, 1326, 523, 333, 978, 29382, 32, 1357, 32, 1104, 48, 499, 601, 333, 978, 29382, 81, 4738, 2790, 32, 4255, 32, 5584, 1183, 48, 1524, 584, 29046, 280, 1326, 32, 2872, 2665, 710, 33261, 785, 584, 588, 2519, 4333, 821, 322, 3051, 1519, 291, 415, 646, 29046, 44, 324, 442, 2149, 291, 813, 44, 324, 2719, 280, 2149, 324, 636, 280, 636, 556, 29046, 77, 34, 79, 1064, 588, 2779, 436, 3872, 5257, 8001, 324, 8321, 16411, 280, 13637, 474, 3056, 2473, 2524, 26, 33261, 27, 324, 2719, 81, 681, 280, 1665, 324, 2719, 81, 1473, 280, 1665, 1064, 436, 5543, 30, 6998, 328, 630, 32, 10983, 44, 400, 1056, 280, 5543, 32, 2872, 26, 2692, 16411, 27, 400, 415, 1056, 438, 646, 1665, 44, 528, 1326, 32, 2872, 2665, 280, 1056, 528, 1326, 32, 7986, 280, 6998, 528, 1626, 324, 813, 44, 400, 1596, 44, 528, 2719, 81, 681, 30, 2719, 81, 1473, 280, 630, 32, 4255, 77, 426, 79, 400, 2940, 25085, 44, 528, 3636, 4808, 5965, 346, 1064, 415, 2719, 81, 681, 44, 400, 415, 6937, 26, 2122, 81, 681, 30, 21128, 711, 528, 2719, 77, 426, 79, 280, 2719, 81, 681, 400, 4348, 2719, 81, 1473, 438, 1665, 44, 528, 2719, 77, 426, 79, 280, 2719, 81, 681, 26, 1357, 27, 400, 813, 44, 528, 2719, 77, 426, 79, 280, 2719, 81, 681, 26, 1357, 30, 2719, 81, 1473, 27, 1064, 1326, 32, 1237, 81, 2122, 280, 2719, 324, 442, 2719, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3909, 26, 784, 30, 2719, 30, 636, 1057, 7831, 203, 1524, 1283, 11598, 312, 2702, 2719, 372, 458, 2330, 32, 1524, 584, 588, 21955, 312, 1361, 31, 5792, 291, 415, 6937, 26, 2122, 30, 8059, 2214, 711, 324, 630, 32, 4255, 77, 426, 79, 280, 308, 2122, 32, 5792, 30, 1665, 27, 584, 588, 21955, 312, 2297, 22524, 619, 312, 2719, 291, 4348, 17787, 32, 297, 1647, 26, 2122, 711, 324, 636, 280, 636, 556, 2719, 3667, 426, 9818, 2998, 36909, 6448, 35, 79, 1064, 588, 11246, 17532, 623, 15103, 324, 436, 2830, 328, 14447, 26, 2122, 547, 2810, 2262, 400, 6998, 280, 18623, 26, 2067, 30, 330, 7986, 370, 1665, 27, 400, 415, 6937, 26, 7986, 30, 21128, 27, 461, 6998, 32, 5607, 44, 528, 5543, 280, 7136, 22869, 6998, 32, 5607, 27, 528, 630, 32, 10983, 32, 1689, 1162, 4351, 30, 6998, 490, 1064, 630, 32, 4255, 77, 426, 79, 280, 308, 2459, 1183, 30, 2719, 27, 584, 588, 21955, 312, 443, 22524, 619, 312, 2719, 291, 4348, 17787, 32, 297, 823, 26, 2122, 711, 324, 636, 280, 636, 556, 2719, 3667, 426, 505, 324, 630, 32, 4255, 77, 426, 79, 280, 308, 1339, 1183, 30, 2719, 27, 584, 588, 21955, 600, 6998, 7029, 291, 4348, 6937, 26, 32110, 26, 2122, 30, 330, 7986, 370, 1665, 471, 21128, 711, 324, 415, 2719, 32, 7986, 32, 5607, 44, 400, 5543, 280, 7136, 22869, 2719, 32, 7986, 32, 5607, 27, 400, 630, 32, 10983, 32, 1689, 1162, 4351, 30, 2719, 32, 7986, 490, 324, 813, 44, 400, 630, 32, 4255, 77, 2122, 32, 7986, 32, 426, 79, 280, 308, 2122, 32, 7986, 30, 1665, 27, 584, 588, 21955, 312, 4576, 291, 4348, 6937, 26, 2122, 30, 5436, 711, 324, 436, 17993, 328, 2719, 32, 2810, 2262, 400, 1596, 44, 528, 630, 32, 3317, 26, 14382, 27, 400, 2940, 26405, 44, 528, 3097, 584, 588, 21955, 312, 1149, 432, 6683, 291, 4348, 6937, 26, 2122, 30, 1149, 711, 324, 436, 17993, 328, 2719, 44, 400, 1596, 44, 528, 630, 32, 3317, 26, 14382, 27, 400, 2940, 26405, 44, 528, 3097, 584, 588, 21955, 312, 2719, 7029, 291, 813, 44, 324, 3636, 26405, 463, 3817, 2719, 2355, 44, 301, 34, 111, 5989, 35, 12665, 2473, 1643, 26, 2122, 30, 827, 26, 2122, 2610, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 13942, 26, 784, 30, 1359, 30, 1519, 30, 5543, 81, 426, 47, 2521, 30, 6501, 47, 2521, 30, 1115, 1071, 81, 2184, 711, 203, 1524, 2057, 4954, 458, 2330, 645, 322, 1509, 3251, 3051, 1519, 1524, 584, 5543, 81, 426, 280, 5543, 81, 426, 556, 1519, 32, 3227, 19468, 5608, 1814, 7201, 36909, 291, 1519, 280, 1519, 32, 7201, 24667, 474, 13838, 33261, 25, 584, 630, 32, 4351, 81, 426, 280, 5543, 81, 426, 291, 630, 32, 1439, 81, 9198, 280, 6501, 584, 588, 8488, 322, 5543, 461, 322, 1519, 291, 1359, 32, 669, 81, 4351, 26, 4351, 81, 426, 30, 1519, 30, 7763, 47, 784, 32, 5792, 27, 291, 1359, 32, 669, 81, 1071, 26, 324, 630, 32, 2956, 81, 9138, 81, 731, 30, 324, 5543, 81, 426, 47, 4351, 81, 426, 30, 324, 13100, 1057, 1260, 36, 370, 324, 1619, 47, 8090, 924, 291, 2588, 291, 1359, 32, 669, 81, 1071, 26, 324, 630, 32, 2956, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 32, 26298, 81, 2184, 32, 3028, 346, 400, 1790, 324, 813, 44, 400, 7382, 280, 630, 32, 26298, 81, 2184, 32, 371, 463, 3560, 81, 2435, 81, 4568, 81, 6946, 370, 13838, 683, 400, 21955, 81, 5078, 280, 630, 32, 26298, 81, 2184, 32, 371, 463, 3560, 81, 2435, 81, 41856, 81, 5078, 370, 9142, 400, 1789, 32, 5078, 710, 2791, 31, 2422, 31, 6668, 31, 9009, 785, 280, 7382, 400, 415, 21955, 81, 5078, 44, 528, 1789, 32, 5078, 710, 2791, 31, 2422, 31, 31987, 31, 6267, 785, 280, 21955, 81, 5078, 584, 588, 4705, 322, 45612, 5420, 1789, 291, 1326, 32, 669, 81, 1986, 81, 4383, 26, 26298, 81, 5078, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 7763, 26, 784, 30, 1326, 30, 2935, 47, 2521, 30, 636, 47, 2521, 711, 203, 1524, 3759, 312, 537, 2719, 436, 322, 2702, 1326, 32, 499, 753, 1326, 523, 333, 978, 29382, 32, 1357, 32, 1104, 48, 499, 601, 333, 978, 29382, 81, 4738, 2790, 32, 4255, 32, 5584, 1183, 48, 1524, 584, 29046, 280, 1326, 32, 2872, 2665, 710, 33261, 785, 584, 588, 2519, 4333, 821, 322, 3051, 1519, 291, 415, 646, 29046, 44, 324, 442, 2149, 291, 813, 44, 324, 2719, 280, 2149, 324, 636, 280, 636, 556, 29046, 77, 34, 79, 1064, 588, 2779, 436, 3872, 5257, 8001, 324, 8321, 16411, 280, 13637, 474, 3056, 2473, 2524, 26, 33261, 27, 324, 2719, 81, 681, 280, 1665, 324, 2719, 81, 1473, 280, 1665, 1064, 436, 5543, 30, 6998, 328, 630, 32, 10983, 44, 400, 1056, 280, 5543, 32, 2872, 26, 2692, 16411, 27, 400, 415, 1056, 438, 646, 1665, 44, 528, 1326, 32, 2872, 2665, 280, 1056, 528, 1326, 32, 7986, 280, 6998, 528, 1626, 324, 813, 44, 400, 1596, 44, 528, 2719, 81, 681, 30, 2719, 81, 1473, 280, 630, 32, 4255, 77, 426, 79, 400, 2940, 25085, 44, 528, 3636, 4808, 5965, 346, 1064, 415, 2719, 81, 681, 44, 400, 415, 6937, 26, 2122, 81, 681, 30, 21128, 711, 528, 2719, 77, 426, 79, 280, 2719, 81, 681, 400, 4348, 2719, 81, 1473, 438, 1665, 44, 528, 2719, 77, 426, 79, 280, 2719, 81, 681, 26, 1357, 27, 400, 813, 44, 528, 2719, 77, 426, 79, 280, 2719, 81, 681, 26, 1357, 30, 2719, 81, 1473, 27, 1064, 1326, 32, 1237, 81, 2122, 280, 2719, 324, 442, 2719, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3909, 26, 784, 30, 2719, 30, 636, 1057, 7831, 203, 1524, 1283, 11598, 312, 2702, 2719, 372, 458, 2330, 32, 1524, 584, 588, 21955, 312, 1361, 31, 5792, 291, 415, 6937, 26, 2122, 30, 8059, 2214, 711, 324, 630, 32, 4255, 77, 426, 79, 280, 308, 2122, 32, 5792, 30, 1665, 27, 584, 588, 21955, 312, 2297, 22524, 619, 312, 2719, 291, 4348, 17787, 32, 297, 1647, 26, 2122, 711, 324, 636, 280, 636, 556, 2719, 3667, 426, 9818, 2998, 36909, 6448, 35, 79, 1064, 588, 11246, 17532, 623, 15103, 324, 436, 2830, 328, 14447, 26, 2122, 547, 2810, 2262, 400, 6998, 280, 18623, 26, 2067, 30, 330, 7986, 370, 1665, 27, 400, 415, 6937, 26, 7986, 30, 21128, 27, 461, 6998, 32, 5607, 44, 528, 5543, 280, 7136, 22869, 6998, 32, 5607, 27, 528, 630, 32, 10983, 32, 1689, 1162, 4351, 30, 6998, 490, 1064, 630, 32, 4255, 77, 426, 79, 280, 308, 2459, 1183, 30, 2719, 27, 584, 588, 21955, 312, 443, 22524, 619, 312, 2719, 291, 4348, 17787, 32, 297, 823, 26, 2122, 711, 324, 636, 280, 636, 556, 2719, 3667, 426, 505, 324, 630, 32, 4255, 77, 426, 79, 280, 308, 1339, 1183, 30, 2719, 27, 584, 588, 21955, 600, 6998, 7029, 291, 4348, 6937, 26, 32110, 26, 2122, 30, 330, 7986, 370, 1665, 471, 21128, 711, 324, 415, 2719, 32, 7986, 32, 5607, 44, 400, 5543, 280, 7136, 22869, 2719, 32, 7986, 32, 5607, 27, 400, 630, 32, 10983, 32, 1689, 1162, 4351, 30, 2719, 32, 7986, 490, 324, 813, 44, 400, 630, 32, 4255, 77, 2122, 32, 7986, 32, 426, 79, 280, 308, 2122, 32, 7986, 30, 1665, 27, 584, 588, 21955, 312, 4576, 291, 4348, 6937, 26, 2122, 30, 5436, 711, 324, 436, 17993, 328, 2719, 32, 2810, 2262, 400, 1596, 44, 528, 630, 32, 3317, 26, 14382, 27, 400, 2940, 26405, 44, 528, 3097, 584, 588, 21955, 312, 1149, 432, 6683, 291, 4348, 6937, 26, 2122, 30, 1149, 711, 324, 436, 17993, 328, 2719, 44, 400, 1596, 44, 528, 630, 32, 3317, 26, 14382, 27, 400, 2940, 26405, 44, 528, 3097, 584, 588, 21955, 312, 2719, 7029, 291, 813, 44, 324, 3636, 26405, 463, 3817, 2719, 2355, 44, 301, 34, 111, 5989, 35, 12665, 2473, 1643, 26, 2122, 30, 827, 26, 2122, 2610, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 13942, 26, 784, 30, 1359, 30, 1519, 30, 5543, 81, 426, 47, 2521, 30, 6501, 47, 2521, 30, 1115, 1071, 81, 2184, 711, 203, 1524, 2057, 4954, 458, 2330, 645, 322, 1509, 3251, 3051, 1519, 1524, 584, 5543, 81, 426, 280, 5543, 81, 426, 556, 1519, 32, 3227, 19468, 5608, 1814, 7201, 36909, 291, 1519, 280, 1519, 32, 7201, 24667, 474, 13838, 33261, 25, 584, 630, 32, 4351, 81, 426, 280, 5543, 81, 426, 291, 630, 32, 1439, 81, 9198, 280, 6501, 584, 588, 8488, 322, 5543, 461, 322, 1519, 291, 1359, 32, 669, 81, 4351, 26, 4351, 81, 426, 30, 1519, 30, 7763, 47, 784, 32, 5792, 27, 291, 1359, 32, 669, 81, 1071, 26, 324, 630, 32, 2956, 81, 9138, 81, 731, 30, 324, 5543, 81, 426, 47, 4351, 81, 426, 30, 324, 13100, 1057, 1260, 36, 370, 324, 1619, 47, 8090, 924, 291, 2588, 291, 1359, 32, 669, 81, 1071, 26, 324, 630, 32, 2956, 81 ]
[ 525, 81, 731, 30, 324, 5543, 81, 426, 47, 4351, 81, 426, 30, 324, 13100, 1057, 1260, 36, 370, 324, 1619, 47, 5068, 984, 291, 829, 291, 1359, 32, 669, 81, 1071, 26, 324, 630, 32, 2416, 30, 324, 5543, 81, 426, 47, 4351, 81, 426, 30, 324, 13100, 1057, 1260, 36, 370, 324, 1115, 1071, 81, 2184, 291, 829, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 298, 669, 26, 878, 30, 3714, 347, 1393, 392, 1334, 47, 35, 711, 203, 1524, 15450, 6717, 537, 5430, 372, 322, 2663, 30, 6822, 556, 4335, 432, 312, 892, 477, 878, 44, 588, 466, 1344, 372, 9789, 477, 5281, 44, 588, 466, 330, 1393, 370, 330, 3462, 25, 556, 330, 464, 25, 477, 891, 44, 588, 410, 1451, 432, 537, 5430, 967, 588, 466, 35966, 477, 878, 4377, 645, 354, 4704, 32, 2811, 1188, 319, 298, 669, 440, 8279, 5788, 657, 588, 967, 17276, 96, 8279, 5788, 25, 298, 669, 440, 8279, 5788, 392, 1334, 47, 39, 30, 3714, 347, 464, 657, 588, 967, 17276, 96, 1736, 96, 1736, 96, 1736, 96, 1736, 96, 8279, 5788, 1736, 96, 1736, 96, 1736, 96, 1736, 96, 1736, 96, 25, 4377, 1524, 446, 415, 3714, 44, 291, 3714, 280, 3714, 32, 5729, 346, 291, 9789, 81, 464, 280, 3714, 610, 330, 464, 25, 291, 3714, 81, 1393, 280, 3330, 291, 415, 3714, 461, 308, 5281, 610, 330, 1393, 25, 556, 9789, 81, 464, 711, 324, 3714, 81, 1393, 280, 34873, 2524, 5528, 96, 20, 436, 816, 328, 2155, 26, 891, 490, 291, 3714, 81, 3462, 280, 3330, 291, 415, 3714, 461, 308, 5281, 610, 330, 3462, 25, 556, 9789, 81, 464, 711, 324, 3714, 81, 3462, 280, 34873, 2524, 5528, 96, 20, 436, 816, 328, 2155, 26, 891, 490, 291, 442, 19436, 33270, 2296, 1643, 26, 5281, 81, 1393, 30, 1344, 30, 3714, 81, 3462, 27, 284, 442, 1344, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1963, 518, 26, 878, 30, 1963, 347, 24285, 392, 4230, 47, 1815, 711, 203, 1524, 2561, 4727, 307, 1344, 436, 10719, 10107, 477, 878, 44, 588, 466, 372, 1963, 518, 477, 1489, 44, 588, 466, 1963, 645, 499, 1803, 44, 8717, 477, 2679, 44, 588, 2420, 4946, 556, 646, 372, 5657, 322, 1963, 967, 588, 466, 1963, 1191, 477, 878, 4377, 645, 354, 4704, 32, 2811, 1188, 1963, 518, 1963, 518, 440, 8279, 5788, 392, 313, 5466, 657, 588, 967, 3228, 106, 35, 84, 77, 34, 45, 37, 38, 95, 8279, 5788, 78, 106, 35, 84, 77, 35, 45, 95, 25, 1963, 518, 440, 8279, 5788, 392, 313, 5466, 392, 4230, 47, 2700, 27, 588, 967, 3228, 106, 35, 84, 77, 34, 45, 37, 38, 95, 8279, 5788, 25, 4377, 1524, 446, 415, 1963, 44, 291, 1963, 280, 18623, 26, 8717, 30, 1963, 32, 7607, 1157, 291, 442, 1963, 474, 707, 1489, 518, 26, 466, 26, 878, 490, 474, 308, 8717, 32, 13876, 415, 4230, 813, 7746, 284, 442, 1344, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 13764, 26, 878, 30, 4230, 47, 1815, 711, 203, 1524, 551, 1455, 101, 1344, 436, 10719, 10107, 477, 878, 44, 588, 466, 372, 13764, 477, 2679, 44, 588, 2420, 4946, 556, 646, 372, 5657, 322, 13764, 4655, 967, 588, 466, 48478, 981, 477, 878, 4377, 645, 354, 4704, 32, 2811, 1188, 13764, 13764, 440, 8279, 5788, 657, 588, 967, 3228, 106, 35, 84, 77, 35, 95, 8279, 5788, 78, 106, 35, 84, 77, 35, 45, 95, 25, 13764, 440, 8279, 5788, 392, 4230, 47, 2700, 27, 588, 967, 3228, 106, 35, 84, 77, 35, 95, 8279, 5788, 25, 4377, 1524, 446, 442, 18623, 26, 8717, 30, 313, 31388, 657, 474, 596, 26, 878, 27, 474, 766, 291, 308, 8717, 32, 13876, 415, 4230, 813, 7746, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 823, 81, 6939, 81, 2187, 81, 1959, 26, 17849, 711, 203, 1524, 7124, 322, 443, 1300, 1510, 3417, 312, 2702, 1411, 477, 17849, 44, 312, 443, 1411, 967, 7423, 443, 1300, 1524, 446, 415, 17787, 32, 297, 1959, 26, 17849, 711, 291, 436, 9011, 328, 17787, 32, 371, 95, 290, 26, 17849, 3667, 784, 29215, 823, 505, 711, 324, 415, 9011, 3667, 2665, 9818, 371, 26, 17849, 3667, 426, 8223, 438, 41884, 44, 400, 442, 9011, 291, 41884, 280, 41884, 3667, 1298, 505, 225, 588, 17163, 372, 1156, 939, 426, 505, 11708, 284, 415, 17787, 32, 297, 1126, 26, 17849, 711, 291, 9011, 280, 18623, 26, 324, 17787, 32, 371, 1647, 26, 17849, 471, 324, 41884, 3667, 939, 426, 9818, 2998, 3949, 46, 22457, 10154, 225, 35, 5594, 34, 997, 100, 2998, 39054, 225, 35, 5594, 34, 1130, 291, 415, 6937, 26, 6933, 30, 827, 711, 324, 442, 9011, 284, 442, 1665, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2179, 81, 2067, 81, 426, 26, 2067, 30, 48221, 347, 13371, 10280, 203, 1524, 3720, 1966, 322, 1300, 636, 328, 312, 10191, 3352, 477, 2067, 44, 1346, 4262, 1300, 477, 34527, 44, 322, 7125, 372, 9804, 312, 2935, 1300, 636, 328, 967, 588, 466, 14186, 636, 4377, 645, 354, 4704, 32, 2811, 1188, 2179, 81, 2067, 81, 426, 2179, 81, 2067, 81, 426, 26, 104, 4704, 32, 2811, 32, 6421, 27, 588, 967, 330, 6421, 46, 104, 4704, 32, 2811, 6457, 2179, 81, 2067, 81, 426, 26, 104, 4704, 32, 2811, 27, 588, 967, 330, 2811, 46, 104, 4704, 6457, 2179, 81, 2067, 81, 426, 26, 104, 4704, 32, 2811, 32, 6421, 32, 1003, 27, 588, 967, 330, 1003, 46 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 525, 81, 731, 30, 324, 5543, 81, 426, 47, 4351, 81, 426, 30, 324, 13100, 1057, 1260, 36, 370, 324, 1619, 47, 5068, 984, 291, 829, 291, 1359, 32, 669, 81, 1071, 26, 324, 630, 32, 2416, 30, 324, 5543, 81, 426, 47, 4351, 81, 426, 30, 324, 13100, 1057, 1260, 36, 370, 324, 1115, 1071, 81, 2184, 291, 829, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 298, 669, 26, 878, 30, 3714, 347, 1393, 392, 1334, 47, 35, 711, 203, 1524, 15450, 6717, 537, 5430, 372, 322, 2663, 30, 6822, 556, 4335, 432, 312, 892, 477, 878, 44, 588, 466, 1344, 372, 9789, 477, 5281, 44, 588, 466, 330, 1393, 370, 330, 3462, 25, 556, 330, 464, 25, 477, 891, 44, 588, 410, 1451, 432, 537, 5430, 967, 588, 466, 35966, 477, 878, 4377, 645, 354, 4704, 32, 2811, 1188, 319, 298, 669, 440, 8279, 5788, 657, 588, 967, 17276, 96, 8279, 5788, 25, 298, 669, 440, 8279, 5788, 392, 1334, 47, 39, 30, 3714, 347, 464, 657, 588, 967, 17276, 96, 1736, 96, 1736, 96, 1736, 96, 1736, 96, 8279, 5788, 1736, 96, 1736, 96, 1736, 96, 1736, 96, 1736, 96, 25, 4377, 1524, 446, 415, 3714, 44, 291, 3714, 280, 3714, 32, 5729, 346, 291, 9789, 81, 464, 280, 3714, 610, 330, 464, 25, 291, 3714, 81, 1393, 280, 3330, 291, 415, 3714, 461, 308, 5281, 610, 330, 1393, 25, 556, 9789, 81, 464, 711, 324, 3714, 81, 1393, 280, 34873, 2524, 5528, 96, 20, 436, 816, 328, 2155, 26, 891, 490, 291, 3714, 81, 3462, 280, 3330, 291, 415, 3714, 461, 308, 5281, 610, 330, 3462, 25, 556, 9789, 81, 464, 711, 324, 3714, 81, 3462, 280, 34873, 2524, 5528, 96, 20, 436, 816, 328, 2155, 26, 891, 490, 291, 442, 19436, 33270, 2296, 1643, 26, 5281, 81, 1393, 30, 1344, 30, 3714, 81, 3462, 27, 284, 442, 1344, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1963, 518, 26, 878, 30, 1963, 347, 24285, 392, 4230, 47, 1815, 711, 203, 1524, 2561, 4727, 307, 1344, 436, 10719, 10107, 477, 878, 44, 588, 466, 372, 1963, 518, 477, 1489, 44, 588, 466, 1963, 645, 499, 1803, 44, 8717, 477, 2679, 44, 588, 2420, 4946, 556, 646, 372, 5657, 322, 1963, 967, 588, 466, 1963, 1191, 477, 878, 4377, 645, 354, 4704, 32, 2811, 1188, 1963, 518, 1963, 518, 440, 8279, 5788, 392, 313, 5466, 657, 588, 967, 3228, 106, 35, 84, 77, 34, 45, 37, 38, 95, 8279, 5788, 78, 106, 35, 84, 77, 35, 45, 95, 25, 1963, 518, 440, 8279, 5788, 392, 313, 5466, 392, 4230, 47, 2700, 27, 588, 967, 3228, 106, 35, 84, 77, 34, 45, 37, 38, 95, 8279, 5788, 25, 4377, 1524, 446, 415, 1963, 44, 291, 1963, 280, 18623, 26, 8717, 30, 1963, 32, 7607, 1157, 291, 442, 1963, 474, 707, 1489, 518, 26, 466, 26, 878, 490, 474, 308, 8717, 32, 13876, 415, 4230, 813, 7746, 284, 442, 1344, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 13764, 26, 878, 30, 4230, 47, 1815, 711, 203, 1524, 551, 1455, 101, 1344, 436, 10719, 10107, 477, 878, 44, 588, 466, 372, 13764, 477, 2679, 44, 588, 2420, 4946, 556, 646, 372, 5657, 322, 13764, 4655, 967, 588, 466, 48478, 981, 477, 878, 4377, 645, 354, 4704, 32, 2811, 1188, 13764, 13764, 440, 8279, 5788, 657, 588, 967, 3228, 106, 35, 84, 77, 35, 95, 8279, 5788, 78, 106, 35, 84, 77, 35, 45, 95, 25, 13764, 440, 8279, 5788, 392, 4230, 47, 2700, 27, 588, 967, 3228, 106, 35, 84, 77, 35, 95, 8279, 5788, 25, 4377, 1524, 446, 442, 18623, 26, 8717, 30, 313, 31388, 657, 474, 596, 26, 878, 27, 474, 766, 291, 308, 8717, 32, 13876, 415, 4230, 813, 7746, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 823, 81, 6939, 81, 2187, 81, 1959, 26, 17849, 711, 203, 1524, 7124, 322, 443, 1300, 1510, 3417, 312, 2702, 1411, 477, 17849, 44, 312, 443, 1411, 967, 7423, 443, 1300, 1524, 446, 415, 17787, 32, 297, 1959, 26, 17849, 711, 291, 436, 9011, 328, 17787, 32, 371, 95, 290, 26, 17849, 3667, 784, 29215, 823, 505, 711, 324, 415, 9011, 3667, 2665, 9818, 371, 26, 17849, 3667, 426, 8223, 438, 41884, 44, 400, 442, 9011, 291, 41884, 280, 41884, 3667, 1298, 505, 225, 588, 17163, 372, 1156, 939, 426, 505, 11708, 284, 415, 17787, 32, 297, 1126, 26, 17849, 711, 291, 9011, 280, 18623, 26, 324, 17787, 32, 371, 1647, 26, 17849, 471, 324, 41884, 3667, 939, 426, 9818, 2998, 3949, 46, 22457, 10154, 225, 35, 5594, 34, 997, 100, 2998, 39054, 225, 35, 5594, 34, 1130, 291, 415, 6937, 26, 6933, 30, 827, 711, 324, 442, 9011, 284, 442, 1665, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2179, 81, 2067, 81, 426, 26, 2067, 30, 48221, 347, 13371, 10280, 203, 1524, 3720, 1966, 322, 1300, 636, 328, 312, 10191, 3352, 477, 2067, 44, 1346, 4262, 1300, 477, 34527, 44, 322, 7125, 372, 9804, 312, 2935, 1300, 636, 328, 967, 588, 466, 14186, 636, 4377, 645, 354, 4704, 32, 2811, 1188, 2179, 81, 2067, 81, 426, 2179, 81, 2067, 81, 426, 26, 104, 4704, 32, 2811, 32, 6421, 27, 588, 967, 330, 6421, 46, 104, 4704, 32, 2811, 6457, 2179, 81, 2067, 81, 426, 26, 104, 4704, 32, 2811, 27, 588, 967, 330, 2811, 46, 104, 4704, 6457, 2179, 81, 2067, 81, 426, 26, 104, 4704, 32, 2811, 32, 6421, 32, 1003, 27, 588, 967, 330, 1003, 46 ]
[ 104, 4704, 32, 2811, 32, 6421, 6457, 4377, 1524, 446, 25288, 280, 3330, 284, 2935, 81, 426, 280, 622, 81, 2544, 81, 426, 26, 2067, 27, 284, 415, 2935, 81, 426, 44, 291, 25288, 280, 19436, 33270, 2296, 1643, 26, 34527, 77, 34, 614, 622, 81, 2544, 81, 426, 26, 2067, 471, 48221, 77, 35, 1130, 284, 442, 19436, 40637, 1643, 26, 371, 81, 2067, 81, 426, 26, 2067, 471, 25288, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1406, 777, 74, 2740, 5843, 30, 2965, 47, 1815, 30, 3536, 81, 426, 47, 2700, 30, 10191, 47, 2700, 30, 1202, 2274, 47, 2700, 30, 1115, 5321, 711, 203, 1524, 529, 26001, 47906, 1300, 39914, 82, 477, 28, 5843, 44, 14485, 466, 27, 1980, 5414, 4797, 322, 1300, 844, 15853, 372, 2503, 32, 18197, 883, 526, 18581, 484, 32, 89, 32, 523, 658, 32, 8268, 32, 12192, 110, 436, 2857, 372, 523, 784, 32, 658, 32, 8268, 32, 12192, 110, 477, 2468, 44, 14485, 2420, 27, 523, 1815, 110, 372, 2305, 322, 4117, 2965, 477, 2620, 81, 426, 44, 14485, 2420, 27, 523, 1815, 110, 372, 2305, 322, 3536, 1519, 372, 322, 1300, 8480, 32, 322, 16793, 636, 477, 15917, 44, 14485, 2420, 27, 523, 1815, 110, 372, 2608, 13764, 299, 461, 1963, 299, 477, 678, 2274, 44, 14485, 2420, 27, 523, 1815, 110, 372, 2503, 322, 2078, 432, 477, 5843, 623, 366, 103, 3623, 3879, 4467, 4377, 443, 17988, 26, 1473, 711, 203, 665, 1156, 1664, 3207, 784, 30, 5697, 30, 29115, 47, 2521, 711, 203, 630, 32, 1632, 280, 5697, 630, 32, 12448, 280, 29115, 1156, 13707, 505, 280, 1406, 777, 463, 1632, 370, 330, 12448, 370, 2965, 47, 2700, 27, 9214, 280, 17988, 463, 26018, 683, 26542, 26, 3986, 27, 4377, 47009, 13611, 44, 1632, 17678, 26018, 1801, 29115, 47, 2521, 25894, 1524, 446, 665, 617, 1643, 26, 2067, 30, 3879, 711, 291, 1596, 44, 324, 415, 1202, 2274, 44, 400, 909, 280, 18623, 81, 266, 26, 2067, 30, 3879, 27, 400, 415, 909, 438, 646, 1665, 44, 528, 442, 26542, 26, 695, 27, 324, 813, 44, 400, 442, 6611, 101, 6132, 101, 25, 904, 308, 4890, 30, 6619, 26542, 26, 32110, 81, 266, 26, 2067, 30, 3879, 2610, 291, 2940, 29316, 44, 324, 442, 1665, 446, 665, 35535, 26, 2067, 30, 2965, 47, 2468, 30, 3536, 81, 426, 47, 2620, 81, 426, 30, 10191, 47, 15917, 30, 1802, 1202, 2274, 47, 678, 2274, 30, 1115, 5321, 711, 291, 415, 2965, 44, 324, 2965, 280, 313, 6069, 101, 20, 904, 9960, 26, 314, 26, 2067, 490, 291, 813, 44, 324, 2965, 280, 3330, 291, 706, 280, 1149, 26, 2029, 26, 5962, 816, 44, 816, 438, 646, 1665, 30, 6029, 1992, 26, 5962, 312, 44, 617, 1643, 26, 2067, 30, 312, 471, 5414, 2610, 291, 415, 706, 44, 324, 706, 280, 330, 6069, 101, 25, 904, 5769, 5608, 2524, 26, 605, 27, 291, 813, 44, 324, 706, 280, 4247, 291, 442, 12532, 81, 4434, 10374, 23, 101, 23, 101, 23, 101, 5844, 904, 308, 371, 81, 2067, 81, 426, 26, 2067, 471, 706, 30, 2965, 490, 284, 442, 35535, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 10477, 4116, 26, 784, 711, 203, 1524, 967, 312, 3995, 1191, 5880, 31, 6228, 636, 1524, 584, 442, 5608, 2473, 2524, 26, 324, 10477, 81, 18210, 26, 37, 30, 225, 40, 30, 793, 47, 784, 32, 3855, 30, 19324, 47, 37, 27, 324, 436, 617, 328, 2155, 26, 784, 32, 3855, 32, 21378, 26, 35, 30, 225, 36, 490, 291, 6804, 5729, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 452, 81, 7288, 26, 784, 30, 617, 668, 711, 203, 1524, 902, 33053, 22996, 10375, 372, 24414, 1524, 584, 1056, 280, 1149, 346, 291, 436, 456, 328, 617, 668, 44, 324, 415, 6937, 26, 94, 30, 1149, 711, 400, 1056, 32, 1689, 26, 7288, 26, 784, 1114, 452, 81, 7288, 26, 94, 2610, 324, 813, 44, 400, 1056, 32, 1689, 26, 94, 27, 291, 442, 8825, 26, 1267, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 6613, 26, 784, 30, 1671, 30, 1334, 47, 35, 34, 34, 34, 30, 4345, 81, 6299, 47, 35, 30, 5489, 81, 27325, 47, 2521, 711, 203, 1524, 32443, 3995, 2078, 436, 6613, 31, 6228, 4684, 477, 1167, 44, 322, 6613, 31, 6228, 5193, 844, 2637, 372, 5318, 623, 3995, 706, 477, 891, 44, 588, 410, 1451, 432, 3995, 2078, 372, 2305, 328, 2504, 477, 3242, 81, 6299, 477, 3242, 81, 6299, 44, 588, 410, 5436, 4345, 13135, 1334, 30, 595, 32, 87, 32, 225, 35, 47, 8666, 853, 35, 30, 786, 36, 6488, 225, 36, 47, 110, 1162, 853, 35, 30, 786, 36, 471, 308, 853, 35, 30, 786, 36, 490, 110, 477, 1689, 81, 27325, 44, 588, 27325, 1411, 1510, 1123, 1494, 33, 41860, 706, 372, 1370, 6613, 31, 6228, 5193, 429, 484, 32, 89, 32, 499, 17849, 44, 668, 32, 1689, 967, 3995, 477, 1167, 4377, 645, 13625, 1188, 2680, 720, 645, 354, 4704, 32, 2811, 1188, 33453, 750, 443, 4300, 5897, 26, 47741, 711, 203, 3097, 18940, 280, 33453, 750, 26, 410, 27, 1672, 81, 4948, 280, 4300, 5897, 346, 18940, 32, 7508, 26, 1772, 81, 4948, 30, 225, 37, 30, 225, 35, 30, 1672, 81, 4948, 32, 1689, 27, 588, 967, 428, 42, 42, 39, 34, 42, 36, 43, 37, 42, 37, 40, 34, 40, 36, 38, 38, 37, 30, 225, 38, 43, 34, 43, 41, 42, 34, 41, 39, 40, 35, 41, 41, 34, 43, 40, 35, 30, 225, 39, 39, 34, 38, 37, 39, 39, 34, 42, 35 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 104, 4704, 32, 2811, 32, 6421, 6457, 4377, 1524, 446, 25288, 280, 3330, 284, 2935, 81, 426, 280, 622, 81, 2544, 81, 426, 26, 2067, 27, 284, 415, 2935, 81, 426, 44, 291, 25288, 280, 19436, 33270, 2296, 1643, 26, 34527, 77, 34, 614, 622, 81, 2544, 81, 426, 26, 2067, 471, 48221, 77, 35, 1130, 284, 442, 19436, 40637, 1643, 26, 371, 81, 2067, 81, 426, 26, 2067, 471, 25288, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1406, 777, 74, 2740, 5843, 30, 2965, 47, 1815, 30, 3536, 81, 426, 47, 2700, 30, 10191, 47, 2700, 30, 1202, 2274, 47, 2700, 30, 1115, 5321, 711, 203, 1524, 529, 26001, 47906, 1300, 39914, 82, 477, 28, 5843, 44, 14485, 466, 27, 1980, 5414, 4797, 322, 1300, 844, 15853, 372, 2503, 32, 18197, 883, 526, 18581, 484, 32, 89, 32, 523, 658, 32, 8268, 32, 12192, 110, 436, 2857, 372, 523, 784, 32, 658, 32, 8268, 32, 12192, 110, 477, 2468, 44, 14485, 2420, 27, 523, 1815, 110, 372, 2305, 322, 4117, 2965, 477, 2620, 81, 426, 44, 14485, 2420, 27, 523, 1815, 110, 372, 2305, 322, 3536, 1519, 372, 322, 1300, 8480, 32, 322, 16793, 636, 477, 15917, 44, 14485, 2420, 27, 523, 1815, 110, 372, 2608, 13764, 299, 461, 1963, 299, 477, 678, 2274, 44, 14485, 2420, 27, 523, 1815, 110, 372, 2503, 322, 2078, 432, 477, 5843, 623, 366, 103, 3623, 3879, 4467, 4377, 443, 17988, 26, 1473, 711, 203, 665, 1156, 1664, 3207, 784, 30, 5697, 30, 29115, 47, 2521, 711, 203, 630, 32, 1632, 280, 5697, 630, 32, 12448, 280, 29115, 1156, 13707, 505, 280, 1406, 777, 463, 1632, 370, 330, 12448, 370, 2965, 47, 2700, 27, 9214, 280, 17988, 463, 26018, 683, 26542, 26, 3986, 27, 4377, 47009, 13611, 44, 1632, 17678, 26018, 1801, 29115, 47, 2521, 25894, 1524, 446, 665, 617, 1643, 26, 2067, 30, 3879, 711, 291, 1596, 44, 324, 415, 1202, 2274, 44, 400, 909, 280, 18623, 81, 266, 26, 2067, 30, 3879, 27, 400, 415, 909, 438, 646, 1665, 44, 528, 442, 26542, 26, 695, 27, 324, 813, 44, 400, 442, 6611, 101, 6132, 101, 25, 904, 308, 4890, 30, 6619, 26542, 26, 32110, 81, 266, 26, 2067, 30, 3879, 2610, 291, 2940, 29316, 44, 324, 442, 1665, 446, 665, 35535, 26, 2067, 30, 2965, 47, 2468, 30, 3536, 81, 426, 47, 2620, 81, 426, 30, 10191, 47, 15917, 30, 1802, 1202, 2274, 47, 678, 2274, 30, 1115, 5321, 711, 291, 415, 2965, 44, 324, 2965, 280, 313, 6069, 101, 20, 904, 9960, 26, 314, 26, 2067, 490, 291, 813, 44, 324, 2965, 280, 3330, 291, 706, 280, 1149, 26, 2029, 26, 5962, 816, 44, 816, 438, 646, 1665, 30, 6029, 1992, 26, 5962, 312, 44, 617, 1643, 26, 2067, 30, 312, 471, 5414, 2610, 291, 415, 706, 44, 324, 706, 280, 330, 6069, 101, 25, 904, 5769, 5608, 2524, 26, 605, 27, 291, 813, 44, 324, 706, 280, 4247, 291, 442, 12532, 81, 4434, 10374, 23, 101, 23, 101, 23, 101, 5844, 904, 308, 371, 81, 2067, 81, 426, 26, 2067, 471, 706, 30, 2965, 490, 284, 442, 35535, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 10477, 4116, 26, 784, 711, 203, 1524, 967, 312, 3995, 1191, 5880, 31, 6228, 636, 1524, 584, 442, 5608, 2473, 2524, 26, 324, 10477, 81, 18210, 26, 37, 30, 225, 40, 30, 793, 47, 784, 32, 3855, 30, 19324, 47, 37, 27, 324, 436, 617, 328, 2155, 26, 784, 32, 3855, 32, 21378, 26, 35, 30, 225, 36, 490, 291, 6804, 5729, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 452, 81, 7288, 26, 784, 30, 617, 668, 711, 203, 1524, 902, 33053, 22996, 10375, 372, 24414, 1524, 584, 1056, 280, 1149, 346, 291, 436, 456, 328, 617, 668, 44, 324, 415, 6937, 26, 94, 30, 1149, 711, 400, 1056, 32, 1689, 26, 7288, 26, 784, 1114, 452, 81, 7288, 26, 94, 2610, 324, 813, 44, 400, 1056, 32, 1689, 26, 94, 27, 291, 442, 8825, 26, 1267, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 6613, 26, 784, 30, 1671, 30, 1334, 47, 35, 34, 34, 34, 30, 4345, 81, 6299, 47, 35, 30, 5489, 81, 27325, 47, 2521, 711, 203, 1524, 32443, 3995, 2078, 436, 6613, 31, 6228, 4684, 477, 1167, 44, 322, 6613, 31, 6228, 5193, 844, 2637, 372, 5318, 623, 3995, 706, 477, 891, 44, 588, 410, 1451, 432, 3995, 2078, 372, 2305, 328, 2504, 477, 3242, 81, 6299, 477, 3242, 81, 6299, 44, 588, 410, 5436, 4345, 13135, 1334, 30, 595, 32, 87, 32, 225, 35, 47, 8666, 853, 35, 30, 786, 36, 6488, 225, 36, 47, 110, 1162, 853, 35, 30, 786, 36, 471, 308, 853, 35, 30, 786, 36, 490, 110, 477, 1689, 81, 27325, 44, 588, 27325, 1411, 1510, 1123, 1494, 33, 41860, 706, 372, 1370, 6613, 31, 6228, 5193, 429, 484, 32, 89, 32, 499, 17849, 44, 668, 32, 1689, 967, 3995, 477, 1167, 4377, 645, 13625, 1188, 2680, 720, 645, 354, 4704, 32, 2811, 1188, 33453, 750, 443, 4300, 5897, 26, 47741, 711, 203, 3097, 18940, 280, 33453, 750, 26, 410, 27, 1672, 81, 4948, 280, 4300, 5897, 346, 18940, 32, 7508, 26, 1772, 81, 4948, 30, 225, 37, 30, 225, 35, 30, 1672, 81, 4948, 32, 1689, 27, 588, 967, 428, 42, 42, 39, 34, 42, 36, 43, 37, 42, 37, 40, 34, 40, 36, 38, 38, 37, 30, 225, 38, 43, 34, 43, 41, 42, 34, 41, 39, 40, 35, 41, 41, 34, 43, 40, 35, 30, 225, 39, 39, 34, 38, 37, 39, 39, 34, 42, 35 ]
[ 41, 34, 43, 43, 38, 38, 38, 79, 4377, 1524, 584, 415, 646, 4345, 81, 6299, 44, 324, 442, 630, 1114, 1110, 81, 681, 346, 291, 617, 1167, 280, 1671, 346, 291, 1015, 81, 1167, 280, 617, 1167, 32, 1689, 415, 646, 5489, 81, 27325, 766, 324, 813, 18623, 2176, 1167, 30, 5489, 81, 27325, 27, 291, 436, 816, 328, 2155, 26, 891, 711, 324, 1015, 81, 1167, 26, 784, 32, 7508, 26, 400, 1671, 30, 1334, 30, 4345, 81, 6299, 31, 35, 30, 5489, 81, 27325, 490, 291, 442, 617, 1167, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 7996, 26, 784, 30, 1671, 30, 1202, 81, 6299, 47, 35, 34, 34, 34, 30, 4345, 81, 6299, 47, 35, 30, 1974, 81, 27325, 47, 2521, 711, 203, 1524, 32443, 3995, 2078, 436, 5436, 31, 6228, 4684, 477, 1167, 44, 322, 5436, 31, 6228, 5193, 844, 2637, 372, 5318, 623, 3995, 706, 477, 891, 44, 588, 410, 1451, 432, 3995, 2078, 372, 2305, 328, 2504, 477, 3242, 81, 6299, 477, 3242, 81, 6299, 44, 588, 410, 5436, 4345, 13135, 1334, 30, 595, 32, 87, 32, 225, 35, 47, 17015, 678, 44, 786, 33741, 225, 36, 47, 17015, 678, 44, 301, 678, 44, 786, 835, 1202, 36, 44, 301, 678, 36, 44, 786, 36, 1540, 110, 477, 1877, 81, 27325, 44, 588, 27325, 1411, 1510, 7775, 706, 328, 1370, 5436, 31, 6228, 5193, 429, 484, 32, 89, 32, 499, 17849, 44, 26354, 32, 2665, 32, 1877, 967, 3995, 477, 1167, 4377, 645, 13625, 1188, 2680, 7167, 645, 354, 4704, 32, 2811, 1188, 33453, 750, 443, 4300, 7167, 26, 1240, 7167, 711, 203, 3097, 18940, 280, 33453, 750, 26, 410, 27, 1672, 81, 2665, 280, 4300, 7167, 346, 18940, 32, 2665, 26, 1772, 81, 2665, 30, 225, 37, 30, 225, 35, 30, 1672, 81, 2665, 32, 1877, 27, 588, 967, 301, 588, 330, 807, 34, 76, 25693, 34, 56, 40, 65, 950, 225, 38, 36, 34, 41, 42, 40, 38, 42, 43, 43, 37, 35, 43, 39, 41, 40, 35, 30, 588, 330, 4365, 61, 950, 225, 41, 34, 42, 36, 36, 42, 36, 34, 43, 42, 35, 37, 37, 39, 43, 42, 41, 30, 588, 330, 34, 51, 39, 36705, 41, 950, 225, 35, 41, 39, 34, 37, 35, 36, 36, 34, 36, 43, 37, 37, 42, 38, 39, 43, 111, 4377, 1524, 584, 415, 646, 4345, 81, 6299, 44, 324, 442, 630, 1114, 1110, 81, 681, 346, 291, 617, 1167, 280, 1671, 346, 291, 1015, 81, 1167, 280, 617, 1167, 32, 1877, 415, 646, 1974, 81, 27325, 766, 324, 813, 18623, 2176, 1167, 30, 1974, 81, 27325, 27, 291, 436, 816, 328, 2155, 26, 678, 81, 6299, 711, 324, 1015, 81, 1167, 1371, 400, 630, 32, 6386, 466, 44, 630, 32, 9387, 26, 528, 1671, 30, 1202, 81, 6299, 30, 4345, 81, 6299, 31, 35, 30, 1974, 81, 27325, 27, 324, 1790, 291, 442, 617, 1167, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 1643, 81, 10125, 81, 7508, 26, 784, 30, 617, 7508, 30, 17584, 347, 7144, 44, 203, 1524, 16785, 432, 322, 18399, 1650, 328, 16656, 280, 2258, 1865, 1334, 1524, 584, 415, 646, 617, 7508, 44, 324, 442, 1963, 518, 2176, 7508, 30, 313, 28550, 657, 291, 617, 7508, 280, 617, 7508, 415, 617, 7508, 438, 646, 1665, 813, 630, 32, 2067, 291, 25897, 280, 308, 36, 415, 630, 1114, 6299, 848, 225, 34, 813, 225, 34, 27, 291, 2258, 81, 891, 280, 2069, 26, 466, 26, 1657, 2176, 7508, 2610, 291, 963, 280, 1605, 291, 1015, 81, 541, 280, 963, 32, 1689, 291, 436, 595, 30, 1623, 328, 10703, 2176, 7508, 711, 324, 630, 1114, 28502, 81, 4510, 81, 891, 26, 4510, 81, 891, 29, 15150, 27, 324, 1015, 81, 541, 26, 784, 1114, 10125, 81, 4254, 26, 400, 595, 30, 630, 32, 15917, 26, 1094, 30, 2503, 47, 2700, 471, 400, 2258, 47, 4510, 81, 891, 30, 1963, 347, 5466, 392, 17584, 47, 12637, 490, 324, 630, 1114, 286, 2446, 81, 4510, 81, 891, 26, 4510, 81, 891, 29, 15150, 27, 291, 415, 646, 630, 1114, 6299, 44, 324, 442, 298, 669, 5528, 96, 2296, 2524, 26, 541, 27, 415, 963, 813, 596, 26, 541, 471, 3714, 347, 1393, 657, 291, 813, 44, 324, 442, 2706, 96, 2296, 2524, 26, 541, 27, 415, 963, 813, 596, 26, 541, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2830, 426, 26, 784, 30, 2830, 47, 2521, 711, 203, 1524, 3720, 1966, 1300, 4467, 328, 312, 10191, 36740, 1524, 584, 2830, 280, 2830, 556, 630, 32, 2067, 291, 617, 2067, 426, 280, 630, 32, 15917, 81, 2067, 426, 26, 2067, 30, 1963, 47, 2521, 27, 291, 617, 2067, 426, 280, 5335, 2537, 25, 2296, 1643, 26, 1489, 518, 2176, 2067, 426, 30, 313, 5466, 2131, 291, 442, 617, 2067, 426, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 1643, 81, 2067, 26, 784, 30, 1623, 47, 2521, 711, 203, 1524, 34450, 322, 827, 432, 322, 1300, 461, 14274, 561, 372, 322, 3809, 14971, 1524, 584, 588, 7679, 2442, 42077, 30, 17859, 5853, 623, 24414, 291, 415, 1623, 438, 1665, 44, 324, 442, 18623, 26, 784, 30, 330, 2171, 24174, 1094, 27, 291, 4348, 6937, 26, 1094, 30, 630, 32, 466, 81, 711, 324, 27865, 892, 324, 442, 1623, 474, 313, 313, 291, 4348, 6937, 26, 1094, 30, 3519, 711, 324, 27865, 18394, 324, 442, 18623, 26, 784, 30, 330, 3651, 24174, 1094, 27, 291, 4348, 6937, 26, 1094, 30, 630, 32, 10125, 81, 711, 324, 27865, 8174, 30, 629, 30, 5774, 32, 324, 442, 18623, 26, 784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 41, 34, 43, 43, 38, 38, 38, 79, 4377, 1524, 584, 415, 646, 4345, 81, 6299, 44, 324, 442, 630, 1114, 1110, 81, 681, 346, 291, 617, 1167, 280, 1671, 346, 291, 1015, 81, 1167, 280, 617, 1167, 32, 1689, 415, 646, 5489, 81, 27325, 766, 324, 813, 18623, 2176, 1167, 30, 5489, 81, 27325, 27, 291, 436, 816, 328, 2155, 26, 891, 711, 324, 1015, 81, 1167, 26, 784, 32, 7508, 26, 400, 1671, 30, 1334, 30, 4345, 81, 6299, 31, 35, 30, 5489, 81, 27325, 490, 291, 442, 617, 1167, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 7996, 26, 784, 30, 1671, 30, 1202, 81, 6299, 47, 35, 34, 34, 34, 30, 4345, 81, 6299, 47, 35, 30, 1974, 81, 27325, 47, 2521, 711, 203, 1524, 32443, 3995, 2078, 436, 5436, 31, 6228, 4684, 477, 1167, 44, 322, 5436, 31, 6228, 5193, 844, 2637, 372, 5318, 623, 3995, 706, 477, 891, 44, 588, 410, 1451, 432, 3995, 2078, 372, 2305, 328, 2504, 477, 3242, 81, 6299, 477, 3242, 81, 6299, 44, 588, 410, 5436, 4345, 13135, 1334, 30, 595, 32, 87, 32, 225, 35, 47, 17015, 678, 44, 786, 33741, 225, 36, 47, 17015, 678, 44, 301, 678, 44, 786, 835, 1202, 36, 44, 301, 678, 36, 44, 786, 36, 1540, 110, 477, 1877, 81, 27325, 44, 588, 27325, 1411, 1510, 7775, 706, 328, 1370, 5436, 31, 6228, 5193, 429, 484, 32, 89, 32, 499, 17849, 44, 26354, 32, 2665, 32, 1877, 967, 3995, 477, 1167, 4377, 645, 13625, 1188, 2680, 7167, 645, 354, 4704, 32, 2811, 1188, 33453, 750, 443, 4300, 7167, 26, 1240, 7167, 711, 203, 3097, 18940, 280, 33453, 750, 26, 410, 27, 1672, 81, 2665, 280, 4300, 7167, 346, 18940, 32, 2665, 26, 1772, 81, 2665, 30, 225, 37, 30, 225, 35, 30, 1672, 81, 2665, 32, 1877, 27, 588, 967, 301, 588, 330, 807, 34, 76, 25693, 34, 56, 40, 65, 950, 225, 38, 36, 34, 41, 42, 40, 38, 42, 43, 43, 37, 35, 43, 39, 41, 40, 35, 30, 588, 330, 4365, 61, 950, 225, 41, 34, 42, 36, 36, 42, 36, 34, 43, 42, 35, 37, 37, 39, 43, 42, 41, 30, 588, 330, 34, 51, 39, 36705, 41, 950, 225, 35, 41, 39, 34, 37, 35, 36, 36, 34, 36, 43, 37, 37, 42, 38, 39, 43, 111, 4377, 1524, 584, 415, 646, 4345, 81, 6299, 44, 324, 442, 630, 1114, 1110, 81, 681, 346, 291, 617, 1167, 280, 1671, 346, 291, 1015, 81, 1167, 280, 617, 1167, 32, 1877, 415, 646, 1974, 81, 27325, 766, 324, 813, 18623, 2176, 1167, 30, 1974, 81, 27325, 27, 291, 436, 816, 328, 2155, 26, 678, 81, 6299, 711, 324, 1015, 81, 1167, 1371, 400, 630, 32, 6386, 466, 44, 630, 32, 9387, 26, 528, 1671, 30, 1202, 81, 6299, 30, 4345, 81, 6299, 31, 35, 30, 1974, 81, 27325, 27, 324, 1790, 291, 442, 617, 1167, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 1643, 81, 10125, 81, 7508, 26, 784, 30, 617, 7508, 30, 17584, 347, 7144, 44, 203, 1524, 16785, 432, 322, 18399, 1650, 328, 16656, 280, 2258, 1865, 1334, 1524, 584, 415, 646, 617, 7508, 44, 324, 442, 1963, 518, 2176, 7508, 30, 313, 28550, 657, 291, 617, 7508, 280, 617, 7508, 415, 617, 7508, 438, 646, 1665, 813, 630, 32, 2067, 291, 25897, 280, 308, 36, 415, 630, 1114, 6299, 848, 225, 34, 813, 225, 34, 27, 291, 2258, 81, 891, 280, 2069, 26, 466, 26, 1657, 2176, 7508, 2610, 291, 963, 280, 1605, 291, 1015, 81, 541, 280, 963, 32, 1689, 291, 436, 595, 30, 1623, 328, 10703, 2176, 7508, 711, 324, 630, 1114, 28502, 81, 4510, 81, 891, 26, 4510, 81, 891, 29, 15150, 27, 324, 1015, 81, 541, 26, 784, 1114, 10125, 81, 4254, 26, 400, 595, 30, 630, 32, 15917, 26, 1094, 30, 2503, 47, 2700, 471, 400, 2258, 47, 4510, 81, 891, 30, 1963, 347, 5466, 392, 17584, 47, 12637, 490, 324, 630, 1114, 286, 2446, 81, 4510, 81, 891, 26, 4510, 81, 891, 29, 15150, 27, 291, 415, 646, 630, 1114, 6299, 44, 324, 442, 298, 669, 5528, 96, 2296, 2524, 26, 541, 27, 415, 963, 813, 596, 26, 541, 471, 3714, 347, 1393, 657, 291, 813, 44, 324, 442, 2706, 96, 2296, 2524, 26, 541, 27, 415, 963, 813, 596, 26, 541, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2830, 426, 26, 784, 30, 2830, 47, 2521, 711, 203, 1524, 3720, 1966, 1300, 4467, 328, 312, 10191, 36740, 1524, 584, 2830, 280, 2830, 556, 630, 32, 2067, 291, 617, 2067, 426, 280, 630, 32, 15917, 81, 2067, 426, 26, 2067, 30, 1963, 47, 2521, 27, 291, 617, 2067, 426, 280, 5335, 2537, 25, 2296, 1643, 26, 1489, 518, 2176, 2067, 426, 30, 313, 5466, 2131, 291, 442, 617, 2067, 426, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 1643, 81, 2067, 26, 784, 30, 1623, 47, 2521, 711, 203, 1524, 34450, 322, 827, 432, 322, 1300, 461, 14274, 561, 372, 322, 3809, 14971, 1524, 584, 588, 7679, 2442, 42077, 30, 17859, 5853, 623, 24414, 291, 415, 1623, 438, 1665, 44, 324, 442, 18623, 26, 784, 30, 330, 2171, 24174, 1094, 27, 291, 4348, 6937, 26, 1094, 30, 630, 32, 466, 81, 711, 324, 27865, 892, 324, 442, 1623, 474, 313, 313, 291, 4348, 6937, 26, 1094, 30, 3519, 711, 324, 27865, 18394, 324, 442, 18623, 26, 784, 30, 330, 3651, 24174, 1094, 27, 291, 4348, 6937, 26, 1094, 30, 630, 32, 10125, 81, 711, 324, 27865, 8174, 30, 629, 30, 5774, 32, 324, 442, 18623, 26, 784 ]
[ 30, 330, 2171, 24174, 1094, 27, 291, 4348, 6937, 26, 1094, 30, 630, 32, 2665, 81, 711, 324, 27865, 14580, 324, 442, 18623, 26, 784, 30, 330, 2665, 24174, 1094, 27, 291, 4348, 6937, 26, 1094, 30, 630, 32, 668, 81, 711, 324, 27865, 1682, 324, 442, 18623, 26, 784, 30, 330, 668, 24174, 1094, 27, 291, 4348, 6937, 26, 1094, 30, 8825, 711, 324, 27865, 11713, 324, 442, 18623, 26, 784, 30, 330, 7288, 24174, 1094, 27, 291, 4348, 6937, 26, 1094, 30, 3738, 32, 4815, 620, 711, 324, 27865, 15386, 324, 442, 18623, 26, 784, 30, 330, 7101, 24174, 1094, 27, 291, 4348, 6937, 26, 1094, 30, 630, 32, 470, 81, 711, 324, 27865, 1756, 324, 442, 18623, 26, 784, 30, 330, 470, 24174, 1094, 27, 291, 4348, 6937, 26, 1094, 30, 41829, 711, 324, 27865, 1513, 535, 324, 442, 18623, 26, 784, 30, 330, 40506, 24174, 1094, 27, 291, 4348, 6937, 26, 1094, 30, 16736, 711, 324, 27865, 16736, 324, 442, 18623, 26, 784, 30, 330, 7508, 24174, 1094, 27, 291, 27865, 6204, 1604, 1300, 291, 442, 18623, 26, 784, 30, 330, 1473, 24174, 1094, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 10191, 81, 2067, 426, 26, 784, 30, 2830, 47, 2521, 30, 1769, 1657, 47, 39, 34, 30, 1963, 347, 8570, 31182, 10280, 203, 1524, 38046, 23421, 1300, 636, 477, 2067, 44, 322, 1300, 13696, 636, 844, 2637, 372, 10191, 1459, 477, 1449, 1657, 44, 588, 410, 7091, 3104, 432, 600, 1300, 636, 372, 1459, 477, 1489, 44, 1370, 11655, 432, 499, 1803, 44, 8717, 556, 523, 2521, 110, 967, 588, 466, 10191, 1300, 636, 4377, 645, 354, 4704, 32, 2811, 1188, 12615, 1459, 26, 7760, 32, 15917, 81, 2067, 426, 26, 2665, 490, 588, 967, 330, 2665, 78, 106, 35, 84, 77, 35, 45, 37, 40, 95, 46, 26354, 5213, 106, 35, 84, 77, 35, 45, 95, 25, 4377, 1524, 584, 2935, 81, 426, 280, 9254, 81, 1113, 13961, 622, 81, 2544, 81, 426, 26, 2067, 27, 556, 7746, 291, 2830, 426, 280, 622, 81, 2067, 81, 426, 26, 2067, 27, 291, 415, 1963, 44, 324, 2830, 426, 1454, 1963, 518, 10374, 2537, 16654, 1643, 26, 2544, 81, 426, 471, 1963, 30, 4230, 47, 2700, 27, 291, 813, 44, 324, 2830, 426, 1454, 3778, 2537, 16654, 1643, 26, 2544, 81, 426, 27, 291, 2830, 426, 280, 2830, 426, 415, 2069, 26, 2067, 426, 27, 333, 1769, 1657, 813, 766, 324, 2830, 426, 2867, 26, 1449, 1657, 31, 35, 2177, 5667, 10430, 5844, 291, 415, 1963, 44, 324, 2830, 426, 1454, 9612, 32, 13876, 291, 442, 2830, 426, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 1216, 81, 1436, 26, 784, 30, 4655, 81, 1436, 47, 2521, 30, 1963, 47, 2521, 30, 3714, 47, 2521, 30, 10156, 47, 2700, 711, 203, 1524, 40644, 322, 1474, 372, 322, 10719, 1524, 584, 415, 4655, 81, 1436, 44, 324, 4655, 81, 1436, 280, 12532, 81, 4434, 26, 4555, 26, 4555, 81, 1436, 30, 13588, 1963, 47, 1489, 415, 630, 32, 15917, 813, 1665, 30, 13588, 2519, 47, 2700, 490, 324, 415, 646, 10156, 44, 400, 1459, 26, 98, 669, 26, 4555, 81, 1436, 30, 3714, 471, 2855, 630, 32, 1643, 81, 6286, 26, 784, 32, 1436, 490, 324, 813, 44, 400, 1459, 26, 784, 32, 1643, 81, 6286, 26, 784, 32, 1436, 471, 2855, 298, 669, 26, 4555, 81, 1436, 30, 3714, 490, 291, 813, 44, 324, 1459, 26, 784, 32, 1643, 81, 6286, 26, 784, 32, 1436, 490, 291, 630, 32, 1436, 280, 1605, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1477, 26, 784, 711, 203, 1524, 39676, 322, 8759, 1524, 584, 415, 646, 630, 1114, 1366, 44, 324, 630, 1114, 2232, 81, 1366, 280, 1133, 32, 14460, 81, 4680, 346, 324, 630, 1114, 1366, 280, 630, 1114, 2232, 81, 1366, 291, 813, 44, 324, 630, 1114, 1366, 280, 1133, 32, 14460, 81, 4680, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 25747, 81, 4903, 26, 784, 30, 5273, 30, 1604, 711, 203, 1524, 42236, 461, 1963, 5052, 322, 13720, 10563, 3733, 477, 8773, 461, 477, 2455, 1524, 584, 442, 1963, 518, 34864, 23, 2296, 1643, 26, 324, 7818, 7728, 8773, 31, 2455, 4165, 8773, 4586, 35, 34, 34, 30, 225, 36, 3427, 100, 4510, 26, 35, 34, 471, 313, 1092, 657, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2498, 81, 45743, 26, 891, 47, 35, 34, 34, 711, 203, 1524, 2244, 498, 18137, 3320, 436, 24495, 6674, 23393, 328, 4865, 225, 37, 32, 39, 4377, 477, 4396, 81, 45743, 26, 35, 34, 36, 38, 27, 2498, 665, 12899, 81, 42826, 2740, 1132, 30, 1115, 5321, 711, 203, 442, 2014, 1629, 81, 2455, 81, 20157, 81, 42826, 346, 4377, 1524, 446, 3320, 280, 13625, 32, 20663, 7167, 346, 446, 665, 26627, 26, 3359, 711, 291, 477, 4071, 101, 26, 3359, 27, 291, 477, 38326, 32, 42826, 291, 665, 17491, 2265, 2740, 1132, 30, 1115, 5321, 711, 324, 1202, 280, 596, 1162, 1132, 30, 10306, 490, 324, 1596, 44, 400, 1056, 280, 3320, 32, 3235, 26, 678, 27, 400, 3320, 77, 678, 79, 280, 1056, 324, 2940, 25085, 44, 400, 415, 2069, 26, 2613, 27, 2377, 1334, 44, 528, 3320, 32, 3235, 1094, 26, 2135, 47, 2700, 27, 400, 1056, 280, 3320, 77, 678, 79, 280, 6761, 645, 2771, 2740, 1132, 30, 1115, 5321, 27, 324, 442, 1056, 291, 442, 17491, 2265, 284, 442, 26627, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30, 330, 2171, 24174, 1094, 27, 291, 4348, 6937, 26, 1094, 30, 630, 32, 2665, 81, 711, 324, 27865, 14580, 324, 442, 18623, 26, 784, 30, 330, 2665, 24174, 1094, 27, 291, 4348, 6937, 26, 1094, 30, 630, 32, 668, 81, 711, 324, 27865, 1682, 324, 442, 18623, 26, 784, 30, 330, 668, 24174, 1094, 27, 291, 4348, 6937, 26, 1094, 30, 8825, 711, 324, 27865, 11713, 324, 442, 18623, 26, 784, 30, 330, 7288, 24174, 1094, 27, 291, 4348, 6937, 26, 1094, 30, 3738, 32, 4815, 620, 711, 324, 27865, 15386, 324, 442, 18623, 26, 784, 30, 330, 7101, 24174, 1094, 27, 291, 4348, 6937, 26, 1094, 30, 630, 32, 470, 81, 711, 324, 27865, 1756, 324, 442, 18623, 26, 784, 30, 330, 470, 24174, 1094, 27, 291, 4348, 6937, 26, 1094, 30, 41829, 711, 324, 27865, 1513, 535, 324, 442, 18623, 26, 784, 30, 330, 40506, 24174, 1094, 27, 291, 4348, 6937, 26, 1094, 30, 16736, 711, 324, 27865, 16736, 324, 442, 18623, 26, 784, 30, 330, 7508, 24174, 1094, 27, 291, 27865, 6204, 1604, 1300, 291, 442, 18623, 26, 784, 30, 330, 1473, 24174, 1094, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 10191, 81, 2067, 426, 26, 784, 30, 2830, 47, 2521, 30, 1769, 1657, 47, 39, 34, 30, 1963, 347, 8570, 31182, 10280, 203, 1524, 38046, 23421, 1300, 636, 477, 2067, 44, 322, 1300, 13696, 636, 844, 2637, 372, 10191, 1459, 477, 1449, 1657, 44, 588, 410, 7091, 3104, 432, 600, 1300, 636, 372, 1459, 477, 1489, 44, 1370, 11655, 432, 499, 1803, 44, 8717, 556, 523, 2521, 110, 967, 588, 466, 10191, 1300, 636, 4377, 645, 354, 4704, 32, 2811, 1188, 12615, 1459, 26, 7760, 32, 15917, 81, 2067, 426, 26, 2665, 490, 588, 967, 330, 2665, 78, 106, 35, 84, 77, 35, 45, 37, 40, 95, 46, 26354, 5213, 106, 35, 84, 77, 35, 45, 95, 25, 4377, 1524, 584, 2935, 81, 426, 280, 9254, 81, 1113, 13961, 622, 81, 2544, 81, 426, 26, 2067, 27, 556, 7746, 291, 2830, 426, 280, 622, 81, 2067, 81, 426, 26, 2067, 27, 291, 415, 1963, 44, 324, 2830, 426, 1454, 1963, 518, 10374, 2537, 16654, 1643, 26, 2544, 81, 426, 471, 1963, 30, 4230, 47, 2700, 27, 291, 813, 44, 324, 2830, 426, 1454, 3778, 2537, 16654, 1643, 26, 2544, 81, 426, 27, 291, 2830, 426, 280, 2830, 426, 415, 2069, 26, 2067, 426, 27, 333, 1769, 1657, 813, 766, 324, 2830, 426, 2867, 26, 1449, 1657, 31, 35, 2177, 5667, 10430, 5844, 291, 415, 1963, 44, 324, 2830, 426, 1454, 9612, 32, 13876, 291, 442, 2830, 426, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 1216, 81, 1436, 26, 784, 30, 4655, 81, 1436, 47, 2521, 30, 1963, 47, 2521, 30, 3714, 47, 2521, 30, 10156, 47, 2700, 711, 203, 1524, 40644, 322, 1474, 372, 322, 10719, 1524, 584, 415, 4655, 81, 1436, 44, 324, 4655, 81, 1436, 280, 12532, 81, 4434, 26, 4555, 26, 4555, 81, 1436, 30, 13588, 1963, 47, 1489, 415, 630, 32, 15917, 813, 1665, 30, 13588, 2519, 47, 2700, 490, 324, 415, 646, 10156, 44, 400, 1459, 26, 98, 669, 26, 4555, 81, 1436, 30, 3714, 471, 2855, 630, 32, 1643, 81, 6286, 26, 784, 32, 1436, 490, 324, 813, 44, 400, 1459, 26, 784, 32, 1643, 81, 6286, 26, 784, 32, 1436, 471, 2855, 298, 669, 26, 4555, 81, 1436, 30, 3714, 490, 291, 813, 44, 324, 1459, 26, 784, 32, 1643, 81, 6286, 26, 784, 32, 1436, 490, 291, 630, 32, 1436, 280, 1605, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1477, 26, 784, 711, 203, 1524, 39676, 322, 8759, 1524, 584, 415, 646, 630, 1114, 1366, 44, 324, 630, 1114, 2232, 81, 1366, 280, 1133, 32, 14460, 81, 4680, 346, 324, 630, 1114, 1366, 280, 630, 1114, 2232, 81, 1366, 291, 813, 44, 324, 630, 1114, 1366, 280, 1133, 32, 14460, 81, 4680, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 25747, 81, 4903, 26, 784, 30, 5273, 30, 1604, 711, 203, 1524, 42236, 461, 1963, 5052, 322, 13720, 10563, 3733, 477, 8773, 461, 477, 2455, 1524, 584, 442, 1963, 518, 34864, 23, 2296, 1643, 26, 324, 7818, 7728, 8773, 31, 2455, 4165, 8773, 4586, 35, 34, 34, 30, 225, 36, 3427, 100, 4510, 26, 35, 34, 471, 313, 1092, 657, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2498, 81, 45743, 26, 891, 47, 35, 34, 34, 711, 203, 1524, 2244, 498, 18137, 3320, 436, 24495, 6674, 23393, 328, 4865, 225, 37, 32, 39, 4377, 477, 4396, 81, 45743, 26, 35, 34, 36, 38, 27, 2498, 665, 12899, 81, 42826, 2740, 1132, 30, 1115, 5321, 711, 203, 442, 2014, 1629, 81, 2455, 81, 20157, 81, 42826, 346, 4377, 1524, 446, 3320, 280, 13625, 32, 20663, 7167, 346, 446, 665, 26627, 26, 3359, 711, 291, 477, 4071, 101, 26, 3359, 27, 291, 477, 38326, 32, 42826, 291, 665, 17491, 2265, 2740, 1132, 30, 1115, 5321, 711, 324, 1202, 280, 596, 1162, 1132, 30, 10306, 490, 324, 1596, 44, 400, 1056, 280, 3320, 32, 3235, 26, 678, 27, 400, 3320, 77, 678, 79, 280, 1056, 324, 2940, 25085, 44, 400, 415, 2069, 26, 2613, 27, 2377, 1334, 44, 528, 3320, 32, 3235, 1094, 26, 2135, 47, 2700, 27, 400, 1056, 280, 3320, 77, 678, 79, 280, 6761, 645, 2771, 2740, 1132, 30, 1115, 5321, 27, 324, 442, 1056, 291, 442, 17491, 2265, 284, 442, 26627, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303 ]
[ 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3099, 26, 2076, 30, 319, 1132, 30, 1115, 4124, 711, 203, 588, 827, 44, 308, 466, 30, 319, 4277, 30, 1115, 4277, 27, 967, 1665, 1524, 9194, 5237, 1474, 372, 12532, 32, 1171, 5218, 1395, 7956, 2625, 322, 7290, 432, 322, 3261, 32, 1348, 1395, 526, 312, 12350, 345, 43741, 5929, 322, 1968, 32, 1524, 446, 415, 2069, 26, 1132, 27, 556, 2069, 26, 4124, 711, 291, 3124, 280, 3124, 32, 1643, 2740, 1132, 30, 1115, 4124, 27, 446, 9073, 32, 85, 1216, 12664, 333, 37, 36, 48, 2537, 46, 34, 26820, 1643, 26, 2076, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1137, 26, 2076, 30, 319, 1132, 30, 1115, 4124, 711, 203, 588, 827, 44, 308, 466, 30, 319, 4277, 30, 1115, 4277, 27, 967, 1665, 1524, 4211, 3111, 2287, 5218, 4417, 458, 12568, 328, 312, 2016, 5644, 372, 8839, 1829, 8913, 2471, 32, 1524, 446, 415, 2069, 26, 1132, 27, 556, 2069, 26, 4124, 711, 291, 3124, 280, 3124, 32, 1643, 2740, 1132, 30, 1115, 4124, 27, 446, 9073, 32, 85, 1216, 12664, 333, 37, 35, 48, 2537, 46, 34, 26820, 1643, 26, 2076, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1550, 81, 6586, 2262, 203, 588, 827, 44, 1404, 967, 23745, 4364, 1524, 2744, 322, 23745, 4364, 436, 322, 1550, 5573, 32, 2744, 44, 23745, 4364, 44, 886, 4245, 432, 322, 1550, 5573, 32, 1524, 446, 4774, 280, 330, 2912, 31737, 31, 612, 769, 4021, 24234, 25, 284, 5573, 81, 426, 280, 9073, 32, 1945, 26, 291, 4774, 30, 291, 12847, 47, 1815, 30, 291, 7152, 81, 6626, 416, 47, 1815, 284, 6804, 9362, 32, 7201, 346, 446, 442, 23745, 4364, 32, 2208, 26, 6586, 81, 426, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4583, 81, 26883, 26, 5567, 35, 711, 203, 588, 827, 44, 308, 466, 27, 967, 1682, 77, 466, 79, 1524, 1390, 322, 636, 432, 322, 19216, 688, 458, 4583, 17732, 372, 32, 1524, 446, 4774, 280, 330, 2912, 5573, 769, 4752, 19553, 1643, 26, 5567, 35, 27, 284, 442, 9073, 32, 1945, 26, 291, 4774, 30, 291, 12847, 47, 1815, 30, 291, 7152, 81, 6626, 416, 47, 1815, 284, 6804, 9362, 32, 7201, 922, 2998, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 11089, 81, 1439, 81, 6586, 2262, 203, 588, 827, 44, 308, 466, 27, 967, 5648, 77, 466, 30, 1665, 79, 1524, 8959, 372, 11089, 322, 1695, 5573, 436, 322, 1550, 5573, 32, 3278, 646, 18074, 458, 11089, 32, 5554, 7410, 561, 10191, 5610, 26639, 372, 11089, 322, 1695, 5573, 20611, 5706, 1259, 458, 667, 4575, 7002, 938, 305, 5603, 688, 1098, 1389, 544, 4630, 4942, 793, 6792, 1273, 7991, 312, 3493, 5564, 5511, 1098, 7801, 19337, 458, 667, 32, 3759, 44, 5648, 77, 466, 2786, 886, 636, 432, 322, 1695, 5573, 436, 322, 1550, 5573, 415, 11089, 444, 556, 1115, 2521, 326, 415, 883, 1330, 11089, 32, 1524, 446, 1672, 81, 6586, 280, 1550, 81, 6586, 26, 8188, 47, 1815, 547, 426, 446, 9985, 280, 6615, 81, 3375, 346, 284, 415, 2069, 26, 8945, 32, 26883, 27, 848, 225, 35, 44, 291, 588, 2688, 4484, 19708, 821, 322, 13672, 432, 322, 537, 5573, 308, 31688, 4335, 291, 588, 544, 1695, 461, 537, 5573, 547, 291, 1604, 280, 428, 106, 436, 816, 328, 9985, 32, 26883, 415, 816, 863, 1672, 81, 6586, 79, 291, 415, 2069, 26, 2455, 27, 610, 225, 35, 44, 324, 442, 1604, 77, 34, 79, 291, 442, 1665, 284, 813, 44, 291, 588, 2688, 4484, 544, 1591, 5573, 291, 2935, 280, 9985, 584, 2218, 2935, 461, 1672, 81, 6586, 328, 2935, 32, 26883, 44, 324, 9985, 280, 2935, 1064, 415, 2069, 26, 8945, 32, 26883, 27, 848, 225, 35, 44, 400, 1604, 280, 428, 106, 436, 816, 328, 9985, 32, 26883, 415, 816, 863, 1672, 81, 6586, 79, 400, 415, 2069, 26, 2455, 27, 610, 225, 35, 44, 528, 442, 1604, 77, 34, 79, 400, 442, 1665, 1064, 20861, 280, 428, 98, 436, 298, 328, 9985, 32, 19277, 415, 1672, 81, 6586, 328, 298, 32, 26883, 79, 324, 1929, 81, 19277, 280, 2069, 26, 19277, 27, 1064, 415, 1929, 81, 19277, 848, 225, 36, 44, 400, 588, 12630, 2784, 3134, 2935, 30, 7624, 973, 400, 442, 1665, 324, 415, 1929, 81, 19277, 610, 225, 36, 44, 400, 588, 1348, 438, 312, 3991, 4583, 32, 400, 436, 298, 328, 20861, 44, 528, 415, 298, 32, 26883, 610, 428, 1772, 81, 6586, 2786, 715, 2935, 280, 298, 715, 1626, 324, 4348, 1929, 81, 19277, 610, 225, 35, 44, 400, 2935, 280, 20861, 77, 34, 79, 324, 4348, 1929, 81, 19277, 610, 225, 34, 44, 400, 2935, 280, 1665, 584, 442, 1665, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4583, 81, 2116, 26, 5567, 35, 1057, 7831, 203, 588, 827, 44, 308, 466, 27, 967, 6259, 1524, 2744, 322, 4081, 432, 322, 2702, 4583, 32, 10460, 44, 9637, 35, 308, 466, 711, 203, 886, 9637, 35, 432, 322, 4583, 372, 2467, 32, 1670, 646, 2702, 30, 561, 1098, 442, 322, 9637, 35, 436, 322, 1550, 4583, 32, 3759, 44, 6259, 44, 399, 8189, 8825, 4102, 26, 426, 30, 4096, 27, 572, 623, 322, 4583, 4081, 4245, 32, 1524, 446, 623, 3570, 32, 20490, 81, 11030, 81, 1515, 2262, 291, 4774, 280, 330, 2912, 2519, 429, 101, 769, 1643, 28664, 278, 4697, 23, 3633, 20, 19553, 1643, 26, 5567, 35, 27, 291, 1056, 280, 9073 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3099, 26, 2076, 30, 319, 1132, 30, 1115, 4124, 711, 203, 588, 827, 44, 308, 466, 30, 319, 4277, 30, 1115, 4277, 27, 967, 1665, 1524, 9194, 5237, 1474, 372, 12532, 32, 1171, 5218, 1395, 7956, 2625, 322, 7290, 432, 322, 3261, 32, 1348, 1395, 526, 312, 12350, 345, 43741, 5929, 322, 1968, 32, 1524, 446, 415, 2069, 26, 1132, 27, 556, 2069, 26, 4124, 711, 291, 3124, 280, 3124, 32, 1643, 2740, 1132, 30, 1115, 4124, 27, 446, 9073, 32, 85, 1216, 12664, 333, 37, 36, 48, 2537, 46, 34, 26820, 1643, 26, 2076, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1137, 26, 2076, 30, 319, 1132, 30, 1115, 4124, 711, 203, 588, 827, 44, 308, 466, 30, 319, 4277, 30, 1115, 4277, 27, 967, 1665, 1524, 4211, 3111, 2287, 5218, 4417, 458, 12568, 328, 312, 2016, 5644, 372, 8839, 1829, 8913, 2471, 32, 1524, 446, 415, 2069, 26, 1132, 27, 556, 2069, 26, 4124, 711, 291, 3124, 280, 3124, 32, 1643, 2740, 1132, 30, 1115, 4124, 27, 446, 9073, 32, 85, 1216, 12664, 333, 37, 35, 48, 2537, 46, 34, 26820, 1643, 26, 2076, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1550, 81, 6586, 2262, 203, 588, 827, 44, 1404, 967, 23745, 4364, 1524, 2744, 322, 23745, 4364, 436, 322, 1550, 5573, 32, 2744, 44, 23745, 4364, 44, 886, 4245, 432, 322, 1550, 5573, 32, 1524, 446, 4774, 280, 330, 2912, 31737, 31, 612, 769, 4021, 24234, 25, 284, 5573, 81, 426, 280, 9073, 32, 1945, 26, 291, 4774, 30, 291, 12847, 47, 1815, 30, 291, 7152, 81, 6626, 416, 47, 1815, 284, 6804, 9362, 32, 7201, 346, 446, 442, 23745, 4364, 32, 2208, 26, 6586, 81, 426, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4583, 81, 26883, 26, 5567, 35, 711, 203, 588, 827, 44, 308, 466, 27, 967, 1682, 77, 466, 79, 1524, 1390, 322, 636, 432, 322, 19216, 688, 458, 4583, 17732, 372, 32, 1524, 446, 4774, 280, 330, 2912, 5573, 769, 4752, 19553, 1643, 26, 5567, 35, 27, 284, 442, 9073, 32, 1945, 26, 291, 4774, 30, 291, 12847, 47, 1815, 30, 291, 7152, 81, 6626, 416, 47, 1815, 284, 6804, 9362, 32, 7201, 922, 2998, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 11089, 81, 1439, 81, 6586, 2262, 203, 588, 827, 44, 308, 466, 27, 967, 5648, 77, 466, 30, 1665, 79, 1524, 8959, 372, 11089, 322, 1695, 5573, 436, 322, 1550, 5573, 32, 3278, 646, 18074, 458, 11089, 32, 5554, 7410, 561, 10191, 5610, 26639, 372, 11089, 322, 1695, 5573, 20611, 5706, 1259, 458, 667, 4575, 7002, 938, 305, 5603, 688, 1098, 1389, 544, 4630, 4942, 793, 6792, 1273, 7991, 312, 3493, 5564, 5511, 1098, 7801, 19337, 458, 667, 32, 3759, 44, 5648, 77, 466, 2786, 886, 636, 432, 322, 1695, 5573, 436, 322, 1550, 5573, 415, 11089, 444, 556, 1115, 2521, 326, 415, 883, 1330, 11089, 32, 1524, 446, 1672, 81, 6586, 280, 1550, 81, 6586, 26, 8188, 47, 1815, 547, 426, 446, 9985, 280, 6615, 81, 3375, 346, 284, 415, 2069, 26, 8945, 32, 26883, 27, 848, 225, 35, 44, 291, 588, 2688, 4484, 19708, 821, 322, 13672, 432, 322, 537, 5573, 308, 31688, 4335, 291, 588, 544, 1695, 461, 537, 5573, 547, 291, 1604, 280, 428, 106, 436, 816, 328, 9985, 32, 26883, 415, 816, 863, 1672, 81, 6586, 79, 291, 415, 2069, 26, 2455, 27, 610, 225, 35, 44, 324, 442, 1604, 77, 34, 79, 291, 442, 1665, 284, 813, 44, 291, 588, 2688, 4484, 544, 1591, 5573, 291, 2935, 280, 9985, 584, 2218, 2935, 461, 1672, 81, 6586, 328, 2935, 32, 26883, 44, 324, 9985, 280, 2935, 1064, 415, 2069, 26, 8945, 32, 26883, 27, 848, 225, 35, 44, 400, 1604, 280, 428, 106, 436, 816, 328, 9985, 32, 26883, 415, 816, 863, 1672, 81, 6586, 79, 400, 415, 2069, 26, 2455, 27, 610, 225, 35, 44, 528, 442, 1604, 77, 34, 79, 400, 442, 1665, 1064, 20861, 280, 428, 98, 436, 298, 328, 9985, 32, 19277, 415, 1672, 81, 6586, 328, 298, 32, 26883, 79, 324, 1929, 81, 19277, 280, 2069, 26, 19277, 27, 1064, 415, 1929, 81, 19277, 848, 225, 36, 44, 400, 588, 12630, 2784, 3134, 2935, 30, 7624, 973, 400, 442, 1665, 324, 415, 1929, 81, 19277, 610, 225, 36, 44, 400, 588, 1348, 438, 312, 3991, 4583, 32, 400, 436, 298, 328, 20861, 44, 528, 415, 298, 32, 26883, 610, 428, 1772, 81, 6586, 2786, 715, 2935, 280, 298, 715, 1626, 324, 4348, 1929, 81, 19277, 610, 225, 35, 44, 400, 2935, 280, 20861, 77, 34, 79, 324, 4348, 1929, 81, 19277, 610, 225, 34, 44, 400, 2935, 280, 1665, 584, 442, 1665, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4583, 81, 2116, 26, 5567, 35, 1057, 7831, 203, 588, 827, 44, 308, 466, 27, 967, 6259, 1524, 2744, 322, 4081, 432, 322, 2702, 4583, 32, 10460, 44, 9637, 35, 308, 466, 711, 203, 886, 9637, 35, 432, 322, 4583, 372, 2467, 32, 1670, 646, 2702, 30, 561, 1098, 442, 322, 9637, 35, 436, 322, 1550, 4583, 32, 3759, 44, 6259, 44, 399, 8189, 8825, 4102, 26, 426, 30, 4096, 27, 572, 623, 322, 4583, 4081, 4245, 32, 1524, 446, 623, 3570, 32, 20490, 81, 11030, 81, 1515, 2262, 291, 4774, 280, 330, 2912, 2519, 429, 101, 769, 1643, 28664, 278, 4697, 23, 3633, 20, 19553, 1643, 26, 5567, 35, 27, 291, 1056, 280, 9073 ]
[ 32, 1945, 26, 324, 4774, 30, 324, 12847, 47, 1815, 30, 324, 7152, 81, 6626, 416, 47, 1815, 291, 6804, 9362, 291, 636, 30, 4096, 280, 1056, 32, 2998, 463, 4697, 683, 291, 442, 6259, 26, 426, 30, 4096, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 707, 270, 4838, 2262, 203, 588, 827, 44, 1404, 967, 1682, 77, 466, 79, 1524, 2744, 312, 1149, 432, 707, 270, 4838, 2276, 328, 322, 2074, 5338, 32, 3759, 44, 1149, 77, 466, 2786, 886, 1149, 432, 2276, 646, 29728, 810, 2074, 5554, 5867, 32, 1524, 446, 623, 3570, 32, 20490, 81, 11030, 81, 1515, 2262, 291, 2287, 280, 9073, 32, 1945, 26, 324, 330, 2912, 2287, 769, 5981, 3308, 504, 370, 324, 12847, 47, 1815, 30, 324, 7152, 81, 6626, 416, 47, 1815, 291, 6804, 9362, 291, 3276, 280, 1605, 584, 436, 803, 81, 1517, 328, 2287, 32, 2998, 26, 500, 32, 928, 12595, 711, 324, 415, 803, 81, 1517, 32, 7201, 346, 461, 803, 81, 1517, 77, 34, 79, 610, 330, 14589, 400, 3276, 32, 1689, 26, 761, 81, 1517, 77, 37, 44, 997, 7201, 1157, 584, 442, 3276, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5079, 2262, 203, 588, 827, 44, 1404, 967, 1682, 77, 466, 79, 1524, 2744, 312, 1149, 432, 15103, 328, 322, 2074, 638, 37582, 3759, 44, 1149, 77, 466, 2786, 1682, 432, 15103, 739, 372, 526, 10302, 810, 5554, 32, 1524, 4057, 665, 3185, 81, 928, 26, 928, 711, 261, 588, 27715, 44, 7378, 47, 9785, 31, 1427, 800, 291, 588, 27645, 415, 7506, 291, 415, 646, 6937, 26, 928, 30, 802, 81, 2516, 711, 324, 1628, 280, 1628, 32, 5460, 463, 3310, 31, 42, 683, 584, 588, 41928, 5093, 291, 1628, 280, 1628, 32, 2998, 3609, 370, 225, 35, 5594, 34, 997, 7201, 346, 584, 442, 1628, 446, 5079, 81, 2536, 280, 428, 291, 3570, 32, 11030, 81, 983, 3949, 37582, 1425, 291, 3570, 32, 11030, 81, 983, 3949, 2912, 33, 1338, 33, 10444, 1425, 291, 1359, 922, 371, 463, 1262, 32, 10444, 101, 761, 683, 284, 1481, 446, 1056, 280, 1605, 284, 436, 5079, 81, 761, 328, 5079, 81, 2536, 44, 291, 415, 646, 308, 3617, 81, 761, 461, 2322, 32, 983, 32, 4658, 26, 3617, 81, 761, 8531, 324, 4036, 584, 623, 2156, 26, 3617, 81, 761, 27, 619, 11828, 44, 324, 8436, 280, 308, 2208, 81, 928, 26, 94, 27, 436, 456, 328, 11828, 32, 33232, 1157, 324, 1056, 1454, 428, 106, 436, 816, 328, 8436, 415, 816, 79, 446, 442, 1056, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 19216, 2262, 203, 588, 827, 44, 1404, 967, 1682, 77, 466, 79, 1524, 2744, 312, 1149, 432, 19216, 328, 322, 1550, 5867, 32, 3759, 44, 1149, 77, 466, 2786, 399, 1149, 432, 19216, 328, 322, 1550, 5867, 32, 1524, 446, 963, 280, 9073, 32, 1945, 26, 291, 330, 2912, 5573, 370, 291, 12847, 47, 1815, 30, 291, 7152, 81, 6626, 416, 47, 1815, 284, 6804, 9362, 32, 7201, 346, 284, 442, 428, 106, 32, 7201, 24516, 766, 102, 78, 96, 683, 436, 816, 328, 963, 32, 2998, 4446, 7662, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2604, 26, 426, 30, 1474, 30, 4081, 47, 2521, 711, 203, 588, 827, 44, 308, 466, 30, 596, 30, 6259, 30, 1560, 27, 967, 1665, 1524, 9130, 322, 1550, 4583, 32, 10460, 44, 636, 308, 466, 711, 203, 886, 2604, 636, 32, 1474, 308, 466, 711, 203, 886, 2604, 1474, 32, 18993, 619, 4102, 31, 95, 572, 3395, 328, 4102, 2912, 2604, 16688, 4081, 308, 4360, 711, 203, 886, 4583, 4081, 32, 13508, 1244, 372, 322, 4081, 432, 322, 4583, 32, 32914, 416, 308, 2420, 711, 203, 1670, 739, 372, 1115, 1815, 326, 561, 1098, 1459, 322, 3536, 4102, 2912, 2604, 572, 2016, 4174, 432, 6723, 16924, 561, 32, 1524, 446, 4774, 280, 308, 291, 330, 2912, 429, 85, 313, 496, 32, 426, 1279, 2116, 32, 426, 3845, 429, 85, 313, 496, 32, 1935, 1279, 2116, 32, 1935, 3845, 330, 291, 330, 2142, 429, 83, 10698, 426, 3845, 429, 95, 10698, 1436, 3845, 25, 284, 6804, 1643, 26, 291, 4081, 47, 2116, 556, 6615, 81, 3375, 922, 2116, 30, 291, 636, 47, 426, 30, 291, 1474, 47, 1436, 32, 3227, 463, 21684, 3228, 1492, 1814, 3227, 463, 82, 370, 17276, 82, 1425, 284, 829, 284, 9073, 32, 1945, 26, 3515, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1359, 2262, 203, 588, 827, 44, 1404, 967, 5436, 77, 466, 30, 6204, 79, 1524, 2744, 322, 1550, 5554, 3488, 32, 3759, 44, 5436, 77, 466, 30, 6204, 2786, 886, 1550, 5554, 1359, 11508, 645, 4102, 2912, 1359, 769, 668, 16688, 1524, 446, 963, 280, 9073, 32, 1945, 26, 291, 330, 2912, 1359, 769, 668, 370, 291, 12847, 47, 1815, 30, 291, 7152, 81, 6626, 416, 47, 1815, 284, 6804, 9362, 32, 7201, 346, 446, 1056, 280, 2149, 284, 436, 1628, 328, 963, 32, 2998, 4446, 2262, 291, 636, 30, 786, 280, 1628, 32, 2998, 463, 12483, 225, 35, 27, 291, 1056, 77, 426, 32, 7201, 7662, 280, 786, 32, 7201, 346, 446, 442, 1056, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5911, 2262, 203, 588, 827, 44, 1404, 967, 1682, 77, 466, 79, 1524, 3759, 1169, 5911, 328, 322, 5867, 32, 3759, 44, 1149, 77, 466, 2786, 1682, 432, 1169, 5911, 328, 322, 5867, 30, 8594, 619, 7041, 32, 3367 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 32, 1945, 26, 324, 4774, 30, 324, 12847, 47, 1815, 30, 324, 7152, 81, 6626, 416, 47, 1815, 291, 6804, 9362, 291, 636, 30, 4096, 280, 1056, 32, 2998, 463, 4697, 683, 291, 442, 6259, 26, 426, 30, 4096, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 707, 270, 4838, 2262, 203, 588, 827, 44, 1404, 967, 1682, 77, 466, 79, 1524, 2744, 312, 1149, 432, 707, 270, 4838, 2276, 328, 322, 2074, 5338, 32, 3759, 44, 1149, 77, 466, 2786, 886, 1149, 432, 2276, 646, 29728, 810, 2074, 5554, 5867, 32, 1524, 446, 623, 3570, 32, 20490, 81, 11030, 81, 1515, 2262, 291, 2287, 280, 9073, 32, 1945, 26, 324, 330, 2912, 2287, 769, 5981, 3308, 504, 370, 324, 12847, 47, 1815, 30, 324, 7152, 81, 6626, 416, 47, 1815, 291, 6804, 9362, 291, 3276, 280, 1605, 584, 436, 803, 81, 1517, 328, 2287, 32, 2998, 26, 500, 32, 928, 12595, 711, 324, 415, 803, 81, 1517, 32, 7201, 346, 461, 803, 81, 1517, 77, 34, 79, 610, 330, 14589, 400, 3276, 32, 1689, 26, 761, 81, 1517, 77, 37, 44, 997, 7201, 1157, 584, 442, 3276, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5079, 2262, 203, 588, 827, 44, 1404, 967, 1682, 77, 466, 79, 1524, 2744, 312, 1149, 432, 15103, 328, 322, 2074, 638, 37582, 3759, 44, 1149, 77, 466, 2786, 1682, 432, 15103, 739, 372, 526, 10302, 810, 5554, 32, 1524, 4057, 665, 3185, 81, 928, 26, 928, 711, 261, 588, 27715, 44, 7378, 47, 9785, 31, 1427, 800, 291, 588, 27645, 415, 7506, 291, 415, 646, 6937, 26, 928, 30, 802, 81, 2516, 711, 324, 1628, 280, 1628, 32, 5460, 463, 3310, 31, 42, 683, 584, 588, 41928, 5093, 291, 1628, 280, 1628, 32, 2998, 3609, 370, 225, 35, 5594, 34, 997, 7201, 346, 584, 442, 1628, 446, 5079, 81, 2536, 280, 428, 291, 3570, 32, 11030, 81, 983, 3949, 37582, 1425, 291, 3570, 32, 11030, 81, 983, 3949, 2912, 33, 1338, 33, 10444, 1425, 291, 1359, 922, 371, 463, 1262, 32, 10444, 101, 761, 683, 284, 1481, 446, 1056, 280, 1605, 284, 436, 5079, 81, 761, 328, 5079, 81, 2536, 44, 291, 415, 646, 308, 3617, 81, 761, 461, 2322, 32, 983, 32, 4658, 26, 3617, 81, 761, 8531, 324, 4036, 584, 623, 2156, 26, 3617, 81, 761, 27, 619, 11828, 44, 324, 8436, 280, 308, 2208, 81, 928, 26, 94, 27, 436, 456, 328, 11828, 32, 33232, 1157, 324, 1056, 1454, 428, 106, 436, 816, 328, 8436, 415, 816, 79, 446, 442, 1056, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 19216, 2262, 203, 588, 827, 44, 1404, 967, 1682, 77, 466, 79, 1524, 2744, 312, 1149, 432, 19216, 328, 322, 1550, 5867, 32, 3759, 44, 1149, 77, 466, 2786, 399, 1149, 432, 19216, 328, 322, 1550, 5867, 32, 1524, 446, 963, 280, 9073, 32, 1945, 26, 291, 330, 2912, 5573, 370, 291, 12847, 47, 1815, 30, 291, 7152, 81, 6626, 416, 47, 1815, 284, 6804, 9362, 32, 7201, 346, 284, 442, 428, 106, 32, 7201, 24516, 766, 102, 78, 96, 683, 436, 816, 328, 963, 32, 2998, 4446, 7662, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2604, 26, 426, 30, 1474, 30, 4081, 47, 2521, 711, 203, 588, 827, 44, 308, 466, 30, 596, 30, 6259, 30, 1560, 27, 967, 1665, 1524, 9130, 322, 1550, 4583, 32, 10460, 44, 636, 308, 466, 711, 203, 886, 2604, 636, 32, 1474, 308, 466, 711, 203, 886, 2604, 1474, 32, 18993, 619, 4102, 31, 95, 572, 3395, 328, 4102, 2912, 2604, 16688, 4081, 308, 4360, 711, 203, 886, 4583, 4081, 32, 13508, 1244, 372, 322, 4081, 432, 322, 4583, 32, 32914, 416, 308, 2420, 711, 203, 1670, 739, 372, 1115, 1815, 326, 561, 1098, 1459, 322, 3536, 4102, 2912, 2604, 572, 2016, 4174, 432, 6723, 16924, 561, 32, 1524, 446, 4774, 280, 308, 291, 330, 2912, 429, 85, 313, 496, 32, 426, 1279, 2116, 32, 426, 3845, 429, 85, 313, 496, 32, 1935, 1279, 2116, 32, 1935, 3845, 330, 291, 330, 2142, 429, 83, 10698, 426, 3845, 429, 95, 10698, 1436, 3845, 25, 284, 6804, 1643, 26, 291, 4081, 47, 2116, 556, 6615, 81, 3375, 922, 2116, 30, 291, 636, 47, 426, 30, 291, 1474, 47, 1436, 32, 3227, 463, 21684, 3228, 1492, 1814, 3227, 463, 82, 370, 17276, 82, 1425, 284, 829, 284, 9073, 32, 1945, 26, 3515, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1359, 2262, 203, 588, 827, 44, 1404, 967, 5436, 77, 466, 30, 6204, 79, 1524, 2744, 322, 1550, 5554, 3488, 32, 3759, 44, 5436, 77, 466, 30, 6204, 2786, 886, 1550, 5554, 1359, 11508, 645, 4102, 2912, 1359, 769, 668, 16688, 1524, 446, 963, 280, 9073, 32, 1945, 26, 291, 330, 2912, 1359, 769, 668, 370, 291, 12847, 47, 1815, 30, 291, 7152, 81, 6626, 416, 47, 1815, 284, 6804, 9362, 32, 7201, 346, 446, 1056, 280, 2149, 284, 436, 1628, 328, 963, 32, 2998, 4446, 2262, 291, 636, 30, 786, 280, 1628, 32, 2998, 463, 12483, 225, 35, 27, 291, 1056, 77, 426, 32, 7201, 7662, 280, 786, 32, 7201, 346, 446, 442, 1056, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5911, 2262, 203, 588, 827, 44, 1404, 967, 1682, 77, 466, 79, 1524, 3759, 1169, 5911, 328, 322, 5867, 32, 3759, 44, 1149, 77, 466, 2786, 1682, 432, 1169, 5911, 328, 322, 5867, 30, 8594, 619, 7041, 32, 3367 ]
[ 5911, 4717, 810, 458, 667, 1098, 526, 8436, 619, 415, 322, 14549, 7041, 308, 908, 4102, 104, 44, 612, 426, 572, 22311, 547, 1524, 446, 442, 9073, 32, 1945, 26, 291, 330, 2912, 2604, 769, 3323, 47, 104, 44, 612, 426, 370, 291, 12847, 47, 1815, 30, 291, 7152, 81, 6626, 416, 47, 1815, 284, 6804, 9362, 32, 7201, 922, 2998, 4446, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 6144, 81, 6586, 26, 6586, 81, 426, 711, 203, 588, 827, 44, 308, 466, 27, 967, 1560, 1524, 12072, 415, 322, 2702, 5573, 5375, 32, 10460, 44, 5573, 81, 426, 308, 466, 711, 203, 886, 636, 432, 322, 5573, 372, 1505, 32, 3759, 44, 1560, 44, 1115, 1815, 326, 415, 312, 5573, 623, 636, 319, 6586, 81, 426, 28, 32835, 30, 1115, 2700, 326, 5878, 32, 1524, 446, 1596, 44, 291, 9073, 32, 1945, 26, 324, 330, 2912, 14093, 31, 2208, 769, 6967, 19553, 1643, 26, 6586, 81, 426, 471, 324, 7152, 81, 6626, 416, 47, 1815, 291, 829, 291, 442, 2933, 284, 2940, 45338, 44, 291, 442, 3177, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2522, 81, 26883, 2262, 203, 588, 827, 44, 1404, 967, 1149, 77, 466, 79, 1524, 2744, 19216, 2522, 810, 22602, 32, 4517, 1244, 5521, 884, 6514, 461, 409, 1203, 19216, 619, 9577, 328, 39757, 2957, 32, 3759, 44, 1149, 77, 466, 2786, 34901, 432, 8913, 19216, 688, 1395, 646, 526, 8128, 32, 1524, 446, 6514, 280, 3570, 32, 371, 463, 2912, 32, 2590, 81, 6586, 370, 330, 2590, 683, 284, 10227, 280, 3570, 32, 371, 463, 2912, 32, 20392, 81, 6586, 370, 330, 17529, 683, 284, 442, 3570, 32, 371, 463, 2912, 32, 5322, 81, 26883, 370, 308, 2590, 30, 10227, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 19216, 26, 784, 711, 203, 588, 827, 44, 1404, 967, 1682, 77, 466, 79, 1524, 1682, 432, 1169, 19216, 458, 4583, 438, 312, 1742, 432, 32, 1524, 584, 415, 630, 1114, 26883, 438, 1665, 44, 324, 4774, 280, 330, 2912, 5573, 769, 4752, 19553, 1643, 26, 784, 32, 5567, 35, 27, 324, 963, 280, 9073, 32, 1945, 26, 400, 4774, 30, 400, 12847, 47, 1815, 30, 400, 7152, 81, 6626, 416, 47, 1815, 324, 6804, 9362, 32, 7201, 346, 324, 630, 1114, 26883, 280, 428, 106, 32, 7201, 24516, 766, 102, 78, 96, 683, 436, 816, 328, 963, 32, 2998, 4446, 7662, 584, 442, 630, 1114, 26883, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 20861, 26, 784, 711, 203, 588, 827, 44, 1404, 967, 1682, 77, 7931, 4364, 79, 1524, 15064, 101, 432, 322, 458, 4583, 32, 1524, 584, 415, 630, 1114, 19277, 438, 1665, 44, 324, 630, 1114, 19277, 280, 428, 7931, 4364, 32, 371, 26, 106, 27, 436, 816, 328, 630, 32, 19277, 81, 5567, 35, 79, 584, 442, 630, 1114, 19277, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1451, 26, 784, 711, 203, 588, 827, 44, 1404, 967, 629, 1524, 2744, 458, 16280, 1451, 32, 1348, 438, 322, 2432, 619, 322, 3380, 1451, 432, 16280, 328, 8142, 973, 6222, 458, 4583, 32, 1348, 786, 883, 526, 6364, 328, 1629, 9683, 21646, 619, 561, 6972, 372, 4562, 6538, 544, 1346, 2702, 5573, 308, 4413, 3967, 2017, 883, 526, 3134, 16280, 623, 322, 2432, 1451, 4905, 544, 3449, 19216, 547, 3759, 44, 629, 44, 886, 4583, 1451, 33, 1055, 32, 1524, 584, 4774, 280, 330, 2912, 1245, 769, 267, 32727, 19553, 1643, 26, 784, 32, 5567, 35, 27, 291, 963, 280, 9073, 32, 1945, 26, 3515, 30, 12847, 47, 1815, 30, 7152, 81, 6626, 416, 47, 1815, 547, 9362, 32, 7201, 346, 291, 442, 2069, 26, 541, 32, 2998, 4446, 1157, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 26, 6933, 30, 9637, 35, 1057, 7831, 203, 588, 827, 44, 308, 466, 27, 967, 15463, 4364, 1524, 2744, 4245, 2625, 312, 2702, 4583, 32, 10460, 44, 9637, 35, 308, 466, 711, 203, 886, 9637, 35, 432, 322, 4583, 372, 2467, 32, 1670, 646, 2702, 30, 561, 1098, 442, 322, 4245, 436, 322, 6615, 4583, 32, 3759, 44, 15463, 4364, 44, 15463, 4245, 32, 2448, 883, 793, 322, 1980, 432, 322, 443, 372, 2467, 5554, 4345, 9686, 32, 1524, 584, 623, 3570, 32, 20490, 81, 11030, 81, 1515, 2262, 324, 4774, 280, 330, 2912, 2519, 429, 101, 769, 1643, 28664, 58, 4697, 23, 278, 4697, 23, 3633, 4697, 23, 101, 4697, 23, 84, 4697, 23, 66, 20, 19553, 1643, 26, 400, 9637, 35, 324, 829, 324, 1056, 280, 9073, 32, 1945, 26, 3515, 30, 12847, 47, 1815, 30, 7152, 81, 6626, 416, 47, 1815, 547, 9362, 584, 9637, 35, 30, 636, 30, 4096, 30, 1780, 30, 5585, 30, 20861, 280, 1056, 32, 2998, 463, 4697, 683, 584, 442, 15463, 4364, 26, 324, 9637, 35, 47, 5567, 35, 30, 324, 4081, 47, 4360, 26, 426, 30, 4096, 471, 324, 1780, 47, 1311, 30, 324, 5585, 47, 3801, 30, 324, 20861, 81, 5567, 35, 47, 19277, 32, 2998, 1026, 291, 829, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 739, 81, 751, 81, 2649, 26, 6933, 30, 1245, 81, 2649, 711, 203, 1524, 10527, 322, 1245, 3193, 436, 3109, 37, 2051, 13638, 1348, 1411, 6900, 322, 5741, 3193, 436, 3109, 37, 2051, 13638, 1471, 3619, 5486, 37, 2051, 32, 886, 598, 1219 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5911, 4717, 810, 458, 667, 1098, 526, 8436, 619, 415, 322, 14549, 7041, 308, 908, 4102, 104, 44, 612, 426, 572, 22311, 547, 1524, 446, 442, 9073, 32, 1945, 26, 291, 330, 2912, 2604, 769, 3323, 47, 104, 44, 612, 426, 370, 291, 12847, 47, 1815, 30, 291, 7152, 81, 6626, 416, 47, 1815, 284, 6804, 9362, 32, 7201, 922, 2998, 4446, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 6144, 81, 6586, 26, 6586, 81, 426, 711, 203, 588, 827, 44, 308, 466, 27, 967, 1560, 1524, 12072, 415, 322, 2702, 5573, 5375, 32, 10460, 44, 5573, 81, 426, 308, 466, 711, 203, 886, 636, 432, 322, 5573, 372, 1505, 32, 3759, 44, 1560, 44, 1115, 1815, 326, 415, 312, 5573, 623, 636, 319, 6586, 81, 426, 28, 32835, 30, 1115, 2700, 326, 5878, 32, 1524, 446, 1596, 44, 291, 9073, 32, 1945, 26, 324, 330, 2912, 14093, 31, 2208, 769, 6967, 19553, 1643, 26, 6586, 81, 426, 471, 324, 7152, 81, 6626, 416, 47, 1815, 291, 829, 291, 442, 2933, 284, 2940, 45338, 44, 291, 442, 3177, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2522, 81, 26883, 2262, 203, 588, 827, 44, 1404, 967, 1149, 77, 466, 79, 1524, 2744, 19216, 2522, 810, 22602, 32, 4517, 1244, 5521, 884, 6514, 461, 409, 1203, 19216, 619, 9577, 328, 39757, 2957, 32, 3759, 44, 1149, 77, 466, 2786, 34901, 432, 8913, 19216, 688, 1395, 646, 526, 8128, 32, 1524, 446, 6514, 280, 3570, 32, 371, 463, 2912, 32, 2590, 81, 6586, 370, 330, 2590, 683, 284, 10227, 280, 3570, 32, 371, 463, 2912, 32, 20392, 81, 6586, 370, 330, 17529, 683, 284, 442, 3570, 32, 371, 463, 2912, 32, 5322, 81, 26883, 370, 308, 2590, 30, 10227, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 19216, 26, 784, 711, 203, 588, 827, 44, 1404, 967, 1682, 77, 466, 79, 1524, 1682, 432, 1169, 19216, 458, 4583, 438, 312, 1742, 432, 32, 1524, 584, 415, 630, 1114, 26883, 438, 1665, 44, 324, 4774, 280, 330, 2912, 5573, 769, 4752, 19553, 1643, 26, 784, 32, 5567, 35, 27, 324, 963, 280, 9073, 32, 1945, 26, 400, 4774, 30, 400, 12847, 47, 1815, 30, 400, 7152, 81, 6626, 416, 47, 1815, 324, 6804, 9362, 32, 7201, 346, 324, 630, 1114, 26883, 280, 428, 106, 32, 7201, 24516, 766, 102, 78, 96, 683, 436, 816, 328, 963, 32, 2998, 4446, 7662, 584, 442, 630, 1114, 26883, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 20861, 26, 784, 711, 203, 588, 827, 44, 1404, 967, 1682, 77, 7931, 4364, 79, 1524, 15064, 101, 432, 322, 458, 4583, 32, 1524, 584, 415, 630, 1114, 19277, 438, 1665, 44, 324, 630, 1114, 19277, 280, 428, 7931, 4364, 32, 371, 26, 106, 27, 436, 816, 328, 630, 32, 19277, 81, 5567, 35, 79, 584, 442, 630, 1114, 19277, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1451, 26, 784, 711, 203, 588, 827, 44, 1404, 967, 629, 1524, 2744, 458, 16280, 1451, 32, 1348, 438, 322, 2432, 619, 322, 3380, 1451, 432, 16280, 328, 8142, 973, 6222, 458, 4583, 32, 1348, 786, 883, 526, 6364, 328, 1629, 9683, 21646, 619, 561, 6972, 372, 4562, 6538, 544, 1346, 2702, 5573, 308, 4413, 3967, 2017, 883, 526, 3134, 16280, 623, 322, 2432, 1451, 4905, 544, 3449, 19216, 547, 3759, 44, 629, 44, 886, 4583, 1451, 33, 1055, 32, 1524, 584, 4774, 280, 330, 2912, 1245, 769, 267, 32727, 19553, 1643, 26, 784, 32, 5567, 35, 27, 291, 963, 280, 9073, 32, 1945, 26, 3515, 30, 12847, 47, 1815, 30, 7152, 81, 6626, 416, 47, 1815, 547, 9362, 32, 7201, 346, 291, 442, 2069, 26, 541, 32, 2998, 4446, 1157, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 26, 6933, 30, 9637, 35, 1057, 7831, 203, 588, 827, 44, 308, 466, 27, 967, 15463, 4364, 1524, 2744, 4245, 2625, 312, 2702, 4583, 32, 10460, 44, 9637, 35, 308, 466, 711, 203, 886, 9637, 35, 432, 322, 4583, 372, 2467, 32, 1670, 646, 2702, 30, 561, 1098, 442, 322, 4245, 436, 322, 6615, 4583, 32, 3759, 44, 15463, 4364, 44, 15463, 4245, 32, 2448, 883, 793, 322, 1980, 432, 322, 443, 372, 2467, 5554, 4345, 9686, 32, 1524, 584, 623, 3570, 32, 20490, 81, 11030, 81, 1515, 2262, 324, 4774, 280, 330, 2912, 2519, 429, 101, 769, 1643, 28664, 58, 4697, 23, 278, 4697, 23, 3633, 4697, 23, 101, 4697, 23, 84, 4697, 23, 66, 20, 19553, 1643, 26, 400, 9637, 35, 324, 829, 324, 1056, 280, 9073, 32, 1945, 26, 3515, 30, 12847, 47, 1815, 30, 7152, 81, 6626, 416, 47, 1815, 547, 9362, 584, 9637, 35, 30, 636, 30, 4096, 30, 1780, 30, 5585, 30, 20861, 280, 1056, 32, 2998, 463, 4697, 683, 584, 442, 15463, 4364, 26, 324, 9637, 35, 47, 5567, 35, 30, 324, 4081, 47, 4360, 26, 426, 30, 4096, 471, 324, 1780, 47, 1311, 30, 324, 5585, 47, 3801, 30, 324, 20861, 81, 5567, 35, 47, 19277, 32, 2998, 1026, 291, 829, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 739, 81, 751, 81, 2649, 26, 6933, 30, 1245, 81, 2649, 711, 203, 1524, 10527, 322, 1245, 3193, 436, 3109, 37, 2051, 13638, 1348, 1411, 6900, 322, 5741, 3193, 436, 3109, 37, 2051, 13638, 1471, 3619, 5486, 37, 2051, 32, 886, 598, 1219 ]
[ 1203, 438, 1491, 328, 645, 312, 10949, 2804, 3823, 598, 1219, 1203, 461, 739, 36808, 32, 499, 681, 1245, 81, 2649, 44, 596, 499, 601, 44, 2933, 415, 1245, 3193, 1597, 739, 30, 3177, 5878, 32, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 6933, 32, 6933, 81, 4073, 474, 5608, 470, 81, 751, 81, 2649, 683, 291, 1245, 32, 1338, 463, 1076, 38579, 372, 739, 322, 1245, 3193, 30865, 291, 415, 1245, 81, 2649, 438, 1665, 44, 324, 1245, 32, 1338, 463, 1765, 598, 1219, 1203, 1597, 1665, 30, 1245, 3193, 1098, 646, 526, 4459, 11834, 324, 442, 3177, 291, 415, 646, 6937, 26, 751, 81, 2649, 30, 1695, 800, 711, 324, 1245, 32, 731, 463, 24641, 1638, 598, 1219, 1203, 2298, 526, 312, 802, 683, 324, 442, 3177, 291, 1245, 81, 2649, 280, 1245, 81, 2649, 32, 7607, 346, 291, 1245, 32, 1338, 463, 1076, 38579, 372, 739, 1245, 3193, 372, 44, 904, 101, 34854, 1245, 81, 2649, 27, 291, 415, 1245, 81, 2649, 610, 330, 2897, 950, 324, 9011, 1114, 4073, 32, 34318, 26, 7490, 32, 2897, 27, 291, 4348, 1245, 81, 2649, 610, 330, 1589, 950, 324, 9011, 1114, 4073, 32, 34318, 26, 7490, 32, 1589, 27, 291, 4348, 1245, 81, 2649, 610, 330, 17235, 950, 324, 9011, 1114, 4073, 32, 34318, 26, 7490, 32, 17235, 27, 291, 4348, 1245, 81, 2649, 610, 330, 10431, 950, 324, 9011, 1114, 4073, 32, 34318, 26, 7490, 32, 17235, 27, 291, 4348, 1245, 81, 2649, 610, 330, 2930, 950, 324, 9011, 1114, 4073, 32, 34318, 26, 7490, 32, 2930, 27, 291, 813, 44, 324, 1245, 32, 731, 463, 9752, 646, 739, 1245, 3193, 30, 458, 438, 646, 312, 2080, 1245, 3193, 44, 904, 101, 370, 1245, 81, 2649, 27, 324, 442, 3177, 291, 1245, 32, 1338, 463, 978, 5486, 37, 2051, 598, 1219, 1203, 739, 372, 44, 904, 101, 370, 1245, 81, 2649, 27, 291, 442, 2933, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 18623, 81, 266, 26, 2067, 30, 636, 711, 203, 1524, 40580, 600, 328, 477, 2067, 4729, 312, 7918, 31, 286, 17620, 802, 477, 426, 32, 477, 2067, 44, 14485, 1473, 27, 477, 426, 44, 14485, 466, 27, 523, 8302, 31, 26398, 5036, 372, 3233, 477, 2067, 328, 4377, 2830, 32, 8327, 32, 2437, 280, 330, 8327, 786, 25, 18623, 81, 266, 26, 2067, 30, 330, 2067, 32, 8327, 32, 2437, 683, 4377, 523, 25, 8327, 786, 25, 110, 1524, 446, 436, 1742, 328, 636, 32, 2998, 3949, 7831, 291, 2830, 280, 18623, 26, 2067, 30, 1742, 27, 284, 442, 2830, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1188, 81, 1070, 26, 426, 711, 203, 1524, 44435, 312, 2297, 30, 443, 556, 1411, 645, 802, 461, 42602, 101, 561, 415, 16283, 810, 35094, 477, 426, 44, 14485, 466, 27, 636, 432, 322, 4262, 1300, 967, 18253, 1300, 1524, 446, 2830, 280, 636, 284, 415, 6937, 26, 426, 30, 596, 27, 461, 2069, 26, 426, 711, 291, 1596, 44, 324, 2830, 280, 26797, 26, 426, 27, 324, 1201, 2830, 438, 646, 1665, 291, 2940, 308, 2212, 924, 30, 12678, 30, 34835, 30, 3081, 29835, 4196, 711, 324, 1596, 44, 400, 636, 280, 636, 32, 2998, 46661, 400, 5601, 280, 636, 6448, 35, 79, 400, 636, 280, 4939, 2296, 2524, 26, 426, 20129, 35, 1130, 400, 2047, 280, 46032, 32, 465, 81, 1647, 26, 426, 27, 400, 2830, 280, 18623, 26, 1803, 30, 5601, 27, 324, 2940, 308, 40672, 30, 29316, 30, 29986, 30, 10091, 711, 400, 1596, 44, 528, 636, 280, 636, 32, 2998, 46661, 528, 5601, 81, 5540, 280, 636, 6448, 35, 79, 528, 636, 280, 4939, 2296, 2524, 26, 426, 20129, 35, 1130, 528, 2047, 280, 46032, 32, 465, 81, 1647, 26, 426, 27, 528, 2830, 280, 18623, 26, 32110, 26, 1803, 30, 5601, 81, 5540, 471, 5601, 27, 400, 2940, 44, 528, 588, 2688, 7624, 973, 32, 528, 3097, 446, 2830, 280, 42602, 81, 2067, 26, 2067, 27, 284, 442, 2830, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 42602, 81, 2067, 26, 2067, 711, 203, 1524, 7124, 322, 4648, 1300, 645, 312, 12982, 733, 556, 16283, 667, 477, 2067, 44, 14485, 1473, 27, 322, 1300, 372, 42602, 1524, 446, 1596, 44, 291, 2830, 280, 2830, 32, 88, 371, 284, 2940, 308, 2212, 924, 30, 12678, 711, 291, 3097, 284, 1596, 44, 291, 588, 34341, 4308, 291, 415, 2830, 32, 1298, 3667, 1427, 505, 610, 2830, 3667, 1427, 26927, 324, 2830, 280, 2830, 32, 1298, 284, 2940, 29316, 44, 291, 3097, 284, 1596, 44, 291, 588, 46037, 33, 936, 5725, 291, 2830, 280, 2830, 32, 18241, 284, 2940, 29316, 44, 291, 3097, 284, 1596, 44, 291, 588, 24381, 4965, 12059, 101, 291, 2830, 280, 17787, 32, 7513, 26, 2067, 27, 284, 2940, 44, 291, 3097, 284, 442, 2830, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2454, 2262, 203, 588, 827, 44, 1404, 967, 1665, 1524, 6830, 3488, 645, 803, 32, 1348, 1098, 3233, 322, 3362, 5193, 973, 8579, 372, 2290, 322, 2074, 3051, 308, 5660, 6621, 4102, 26861, 2957, 32, 978, 572, 803, 547, 15952, 2431, 561, 1098, 1188, 322, 1359, 803, 1510, 1395, 7379, 1169, 322, 3488, 308, 908, 529, 98, 13166, 774, 32, 1262, 32, 2957, 32, 1664, 6620, 667, 547, 2448, 883, 2329, 1159, 4335, 14465, 308, 5983, 27, 461, 4262, 308, 2988, 6350, 27, 33091, 10752, 32, 9077, 15653, 688, 8276, 529, 2957, 32, 1664, 6620, 1098, 18188, 322, 1359, 3417, 328, 21792, 32, 1524, 446, 623, 4797, 81, 11030, 81, 1515, 2262, 291, 415, 2322, 32, 983, 32, 4658, 463, 26861, 2957, 32, 6045, 7831, 324, 2454, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1203, 438, 1491, 328, 645, 312, 10949, 2804, 3823, 598, 1219, 1203, 461, 739, 36808, 32, 499, 681, 1245, 81, 2649, 44, 596, 499, 601, 44, 2933, 415, 1245, 3193, 1597, 739, 30, 3177, 5878, 32, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 6933, 32, 6933, 81, 4073, 474, 5608, 470, 81, 751, 81, 2649, 683, 291, 1245, 32, 1338, 463, 1076, 38579, 372, 739, 322, 1245, 3193, 30865, 291, 415, 1245, 81, 2649, 438, 1665, 44, 324, 1245, 32, 1338, 463, 1765, 598, 1219, 1203, 1597, 1665, 30, 1245, 3193, 1098, 646, 526, 4459, 11834, 324, 442, 3177, 291, 415, 646, 6937, 26, 751, 81, 2649, 30, 1695, 800, 711, 324, 1245, 32, 731, 463, 24641, 1638, 598, 1219, 1203, 2298, 526, 312, 802, 683, 324, 442, 3177, 291, 1245, 81, 2649, 280, 1245, 81, 2649, 32, 7607, 346, 291, 1245, 32, 1338, 463, 1076, 38579, 372, 739, 1245, 3193, 372, 44, 904, 101, 34854, 1245, 81, 2649, 27, 291, 415, 1245, 81, 2649, 610, 330, 2897, 950, 324, 9011, 1114, 4073, 32, 34318, 26, 7490, 32, 2897, 27, 291, 4348, 1245, 81, 2649, 610, 330, 1589, 950, 324, 9011, 1114, 4073, 32, 34318, 26, 7490, 32, 1589, 27, 291, 4348, 1245, 81, 2649, 610, 330, 17235, 950, 324, 9011, 1114, 4073, 32, 34318, 26, 7490, 32, 17235, 27, 291, 4348, 1245, 81, 2649, 610, 330, 10431, 950, 324, 9011, 1114, 4073, 32, 34318, 26, 7490, 32, 17235, 27, 291, 4348, 1245, 81, 2649, 610, 330, 2930, 950, 324, 9011, 1114, 4073, 32, 34318, 26, 7490, 32, 2930, 27, 291, 813, 44, 324, 1245, 32, 731, 463, 9752, 646, 739, 1245, 3193, 30, 458, 438, 646, 312, 2080, 1245, 3193, 44, 904, 101, 370, 1245, 81, 2649, 27, 324, 442, 3177, 291, 1245, 32, 1338, 463, 978, 5486, 37, 2051, 598, 1219, 1203, 739, 372, 44, 904, 101, 370, 1245, 81, 2649, 27, 291, 442, 2933, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 18623, 81, 266, 26, 2067, 30, 636, 711, 203, 1524, 40580, 600, 328, 477, 2067, 4729, 312, 7918, 31, 286, 17620, 802, 477, 426, 32, 477, 2067, 44, 14485, 1473, 27, 477, 426, 44, 14485, 466, 27, 523, 8302, 31, 26398, 5036, 372, 3233, 477, 2067, 328, 4377, 2830, 32, 8327, 32, 2437, 280, 330, 8327, 786, 25, 18623, 81, 266, 26, 2067, 30, 330, 2067, 32, 8327, 32, 2437, 683, 4377, 523, 25, 8327, 786, 25, 110, 1524, 446, 436, 1742, 328, 636, 32, 2998, 3949, 7831, 291, 2830, 280, 18623, 26, 2067, 30, 1742, 27, 284, 442, 2830, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1188, 81, 1070, 26, 426, 711, 203, 1524, 44435, 312, 2297, 30, 443, 556, 1411, 645, 802, 461, 42602, 101, 561, 415, 16283, 810, 35094, 477, 426, 44, 14485, 466, 27, 636, 432, 322, 4262, 1300, 967, 18253, 1300, 1524, 446, 2830, 280, 636, 284, 415, 6937, 26, 426, 30, 596, 27, 461, 2069, 26, 426, 711, 291, 1596, 44, 324, 2830, 280, 26797, 26, 426, 27, 324, 1201, 2830, 438, 646, 1665, 291, 2940, 308, 2212, 924, 30, 12678, 30, 34835, 30, 3081, 29835, 4196, 711, 324, 1596, 44, 400, 636, 280, 636, 32, 2998, 46661, 400, 5601, 280, 636, 6448, 35, 79, 400, 636, 280, 4939, 2296, 2524, 26, 426, 20129, 35, 1130, 400, 2047, 280, 46032, 32, 465, 81, 1647, 26, 426, 27, 400, 2830, 280, 18623, 26, 1803, 30, 5601, 27, 324, 2940, 308, 40672, 30, 29316, 30, 29986, 30, 10091, 711, 400, 1596, 44, 528, 636, 280, 636, 32, 2998, 46661, 528, 5601, 81, 5540, 280, 636, 6448, 35, 79, 528, 636, 280, 4939, 2296, 2524, 26, 426, 20129, 35, 1130, 528, 2047, 280, 46032, 32, 465, 81, 1647, 26, 426, 27, 528, 2830, 280, 18623, 26, 32110, 26, 1803, 30, 5601, 81, 5540, 471, 5601, 27, 400, 2940, 44, 528, 588, 2688, 7624, 973, 32, 528, 3097, 446, 2830, 280, 42602, 81, 2067, 26, 2067, 27, 284, 442, 2830, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 42602, 81, 2067, 26, 2067, 711, 203, 1524, 7124, 322, 4648, 1300, 645, 312, 12982, 733, 556, 16283, 667, 477, 2067, 44, 14485, 1473, 27, 322, 1300, 372, 42602, 1524, 446, 1596, 44, 291, 2830, 280, 2830, 32, 88, 371, 284, 2940, 308, 2212, 924, 30, 12678, 711, 291, 3097, 284, 1596, 44, 291, 588, 34341, 4308, 291, 415, 2830, 32, 1298, 3667, 1427, 505, 610, 2830, 3667, 1427, 26927, 324, 2830, 280, 2830, 32, 1298, 284, 2940, 29316, 44, 291, 3097, 284, 1596, 44, 291, 588, 46037, 33, 936, 5725, 291, 2830, 280, 2830, 32, 18241, 284, 2940, 29316, 44, 291, 3097, 284, 1596, 44, 291, 588, 24381, 4965, 12059, 101, 291, 2830, 280, 17787, 32, 7513, 26, 2067, 27, 284, 2940, 44, 291, 3097, 284, 442, 2830, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2454, 2262, 203, 588, 827, 44, 1404, 967, 1665, 1524, 6830, 3488, 645, 803, 32, 1348, 1098, 3233, 322, 3362, 5193, 973, 8579, 372, 2290, 322, 2074, 3051, 308, 5660, 6621, 4102, 26861, 2957, 32, 978, 572, 803, 547, 15952, 2431, 561, 1098, 1188, 322, 1359, 803, 1510, 1395, 7379, 1169, 322, 3488, 308, 908, 529, 98, 13166, 774, 32, 1262, 32, 2957, 32, 1664, 6620, 667, 547, 2448, 883, 2329, 1159, 4335, 14465, 308, 5983, 27, 461, 4262, 308, 2988, 6350, 27, 33091, 10752, 32, 9077, 15653, 688, 8276, 529, 2957, 32, 1664, 6620, 1098, 18188, 322, 1359, 3417, 328, 21792, 32, 1524, 446, 623, 4797, 81, 11030, 81, 1515, 2262, 291, 415, 2322, 32, 983, 32, 4658, 463, 26861, 2957, 32, 6045, 7831, 324, 2454, 81 ]
[ 6045, 81, 1163, 463, 26861, 2957, 32, 6045, 683, 584, 415, 2322, 32, 983, 32, 4658, 463, 26861, 2957, 32, 978, 7831, 324, 2454, 81, 978, 81, 1163, 463, 26861, 2957, 32, 978, 683, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2454, 81, 6045, 81, 1163, 26, 2957, 81, 761, 711, 203, 588, 827, 44, 308, 466, 27, 967, 1665, 1524, 6830, 312, 21792, 3488, 32, 1348, 1098, 646, 1974, 322, 3488, 1273, 7084, 561, 22804, 32, 10460, 44, 3570, 81, 761, 308, 466, 711, 203, 5380, 372, 322, 21792, 1359, 32, 1348, 667, 1098, 646, 1505, 322, 803, 636, 556, 5016, 461, 1098, 2258, 14865, 415, 322, 2702, 803, 1957, 646, 2307, 556, 438, 646, 312, 2080, 21792, 803, 32, 1524, 446, 3649, 485, 81, 1163, 446, 623, 2156, 26, 2957, 81, 761, 27, 619, 11828, 44, 291, 588, 8958, 1359, 291, 485, 81, 1163, 280, 4527, 32, 6045, 81, 944, 26, 4426, 27, 584, 588, 2222, 1561, 81, 1515, 372, 5237, 32, 8478, 415, 561, 1182, 739, 32, 1348, 438, 1755, 3390, 623, 21792, 291, 588, 20098, 30, 3619, 20098, 1159, 372, 745, 458, 10288, 32, 291, 1561, 81, 1515, 280, 622, 81, 983, 463, 1617, 81, 1515, 370, 1665, 27, 291, 415, 1561, 81, 1515, 438, 646, 1665, 44, 324, 5237, 32, 983, 32, 3215, 26, 34, 30, 1561, 81, 1515, 27, 584, 436, 4774, 328, 622, 463, 7621, 370, 1605, 711, 324, 617, 465, 26, 3515, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2454, 81, 978, 81, 1163, 26, 2957, 81, 761, 711, 203, 588, 827, 44, 308, 466, 27, 967, 1665, 1524, 9200, 3488, 645, 312, 4262, 803, 32, 1348, 1098, 2258, 1188, 322, 803, 1991, 4262, 32, 34384, 438, 322, 2723, 32, 886, 803, 1401, 372, 8647, 623, 322, 3488, 1169, 810, 8015, 308, 91, 32, 87, 32, 1476, 3570, 32, 1664, 4251, 2448, 1098, 2329, 1849, 372, 1015, 1370, 1561, 3362, 372, 5237, 32, 8478, 415, 561, 1182, 646, 322, 1550, 4740, 3362, 32, 1348, 438, 3390, 6924, 415, 844, 793, 14465, 1359, 619, 4487, 32, 10460, 44, 3570, 81, 761, 308, 466, 711, 203, 5380, 372, 322, 3619, 2297, 1359, 32, 1348, 667, 1098, 646, 1505, 322, 803, 636, 556, 5016, 461, 1098, 2258, 14865, 415, 322, 2702, 803, 1957, 646, 2307, 556, 438, 646, 312, 2080, 4262, 803, 32, 1524, 446, 415, 5237, 32, 1648, 81, 1338, 2377, 308, 37, 30, 225, 39, 711, 291, 645, 46032, 1188, 4527, 584, 1374, 280, 4527, 32, 2285, 81, 1070, 81, 761, 81, 2645, 463, 26861, 2957, 370, 3570, 81, 761, 27, 291, 2047, 280, 4527, 32, 1647, 81, 1070, 81, 2285, 26, 2285, 27, 291, 1374, 32, 4554, 32, 2493, 81, 1647, 26, 1803, 27, 446, 4348, 5237, 32, 1648, 81, 1338, 2377, 308, 37, 30, 225, 37, 711, 291, 645, 46032, 1188, 345, 21894, 291, 11522, 280, 345, 21894, 32, 17900, 4888, 463, 26861, 2957, 370, 3570, 81, 761, 27, 291, 617, 280, 11522, 32, 944, 81, 1647, 346, 446, 4348, 5237, 32, 1648, 81, 1338, 2511, 308, 37, 30, 225, 34, 711, 291, 1188, 1360, 584, 1360, 32, 944, 81, 1855, 463, 26861, 2957, 370, 3570, 81, 761, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2454, 81, 2387, 26, 3607, 711, 203, 588, 827, 44, 308, 466, 27, 967, 596, 1524, 6830, 3079, 645, 803, 32, 886, 12877, 884, 1742, 432, 322, 2652, 461, 2298, 526, 5964, 619, 4102, 1320, 81, 605, 572, 328, 2074, 4102, 5522, 32, 978, 16688, 10460, 44, 4870, 308, 466, 711, 203, 886, 3079, 1519, 32, 29457, 372, 529, 98, 13166, 774, 82, 2652, 3362, 32, 3759, 44, 596, 44, 886, 1795, 432, 322, 16825, 3079, 32, 1524, 446, 3079, 81, 761, 280, 2322, 32, 983, 32, 2524, 26, 23194, 81, 3197, 30, 330, 8881, 370, 4870, 27, 284, 623, 2156, 26, 2387, 81, 761, 27, 619, 11828, 44, 291, 442, 11828, 32, 850, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4797, 81, 11030, 81, 1515, 26, 983, 1057, 32, 7831, 203, 588, 827, 44, 308, 7556, 77, 466, 1130, 967, 596, 1524, 2744, 600, 7976, 1519, 372, 322, 2702, 2074, 6491, 1519, 32, 499, 753, 1519, 44, 5412, 6491, 1519, 688, 1098, 526, 12785, 372, 322, 2664, 16264, 7976, 1519, 32, 499, 601, 44, 35853, 1519, 32, 1524, 446, 9985, 81, 1515, 280, 2322, 32, 33115, 346, 446, 2322, 32, 31015, 26, 11030, 81, 983, 26, 983, 490, 446, 6761, 446, 2322, 32, 31015, 26, 8945, 81, 1515, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 26, 426, 30, 319, 1536, 711, 203, 588, 827, 44, 308, 466, 30, 6204, 27, 967, 6204, 1524, 1390, 1359, 786, 623, 322, 2702, 636, 461, 5302, 1244, 32, 10460, 44, 636, 308, 466, 711, 203, 886, 636, 432, 322, 1359, 786, 32, 319, 1536, 308, 4277, 711, 203, 1670, 2702, 461, 322, 1202, 4163, 1330, 646, 2307, 30, 458, 1098, 526, 4717, 4174, 32, 1670, 561, 1182, 646, 2702, 461, 322, 1359, 786, 1957, 646, 2307, 30, 29316, 1098, 526, 19565, 3759, 44, 886, 8843, 1359, 786, 32, 1348, 438, 1591, 432, 322, 3649, 2078, 3417, 328, 458, 803, 32, 1670, 322, 786, 1957, 646, 2307, 561, 1098, 442, 529, 1536, 82, 415, 7624, 556, 3636, 529, 2212, 924, 2541, 34904, 44, 29316, 44, 1670, 322, 786, 1957, 646, 2307, 461, 529, 1536, 82, 1597, 646, 2702, 32, 1524, 446, 3649, 485, 81, 1163, 446, 9985, 280, 485, 81, 1163, 284, 436, 1742, 328 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6045, 81, 1163, 463, 26861, 2957, 32, 6045, 683, 584, 415, 2322, 32, 983, 32, 4658, 463, 26861, 2957, 32, 978, 7831, 324, 2454, 81, 978, 81, 1163, 463, 26861, 2957, 32, 978, 683, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2454, 81, 6045, 81, 1163, 26, 2957, 81, 761, 711, 203, 588, 827, 44, 308, 466, 27, 967, 1665, 1524, 6830, 312, 21792, 3488, 32, 1348, 1098, 646, 1974, 322, 3488, 1273, 7084, 561, 22804, 32, 10460, 44, 3570, 81, 761, 308, 466, 711, 203, 5380, 372, 322, 21792, 1359, 32, 1348, 667, 1098, 646, 1505, 322, 803, 636, 556, 5016, 461, 1098, 2258, 14865, 415, 322, 2702, 803, 1957, 646, 2307, 556, 438, 646, 312, 2080, 21792, 803, 32, 1524, 446, 3649, 485, 81, 1163, 446, 623, 2156, 26, 2957, 81, 761, 27, 619, 11828, 44, 291, 588, 8958, 1359, 291, 485, 81, 1163, 280, 4527, 32, 6045, 81, 944, 26, 4426, 27, 584, 588, 2222, 1561, 81, 1515, 372, 5237, 32, 8478, 415, 561, 1182, 739, 32, 1348, 438, 1755, 3390, 623, 21792, 291, 588, 20098, 30, 3619, 20098, 1159, 372, 745, 458, 10288, 32, 291, 1561, 81, 1515, 280, 622, 81, 983, 463, 1617, 81, 1515, 370, 1665, 27, 291, 415, 1561, 81, 1515, 438, 646, 1665, 44, 324, 5237, 32, 983, 32, 3215, 26, 34, 30, 1561, 81, 1515, 27, 584, 436, 4774, 328, 622, 463, 7621, 370, 1605, 711, 324, 617, 465, 26, 3515, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2454, 81, 978, 81, 1163, 26, 2957, 81, 761, 711, 203, 588, 827, 44, 308, 466, 27, 967, 1665, 1524, 9200, 3488, 645, 312, 4262, 803, 32, 1348, 1098, 2258, 1188, 322, 803, 1991, 4262, 32, 34384, 438, 322, 2723, 32, 886, 803, 1401, 372, 8647, 623, 322, 3488, 1169, 810, 8015, 308, 91, 32, 87, 32, 1476, 3570, 32, 1664, 4251, 2448, 1098, 2329, 1849, 372, 1015, 1370, 1561, 3362, 372, 5237, 32, 8478, 415, 561, 1182, 646, 322, 1550, 4740, 3362, 32, 1348, 438, 3390, 6924, 415, 844, 793, 14465, 1359, 619, 4487, 32, 10460, 44, 3570, 81, 761, 308, 466, 711, 203, 5380, 372, 322, 3619, 2297, 1359, 32, 1348, 667, 1098, 646, 1505, 322, 803, 636, 556, 5016, 461, 1098, 2258, 14865, 415, 322, 2702, 803, 1957, 646, 2307, 556, 438, 646, 312, 2080, 4262, 803, 32, 1524, 446, 415, 5237, 32, 1648, 81, 1338, 2377, 308, 37, 30, 225, 39, 711, 291, 645, 46032, 1188, 4527, 584, 1374, 280, 4527, 32, 2285, 81, 1070, 81, 761, 81, 2645, 463, 26861, 2957, 370, 3570, 81, 761, 27, 291, 2047, 280, 4527, 32, 1647, 81, 1070, 81, 2285, 26, 2285, 27, 291, 1374, 32, 4554, 32, 2493, 81, 1647, 26, 1803, 27, 446, 4348, 5237, 32, 1648, 81, 1338, 2377, 308, 37, 30, 225, 37, 711, 291, 645, 46032, 1188, 345, 21894, 291, 11522, 280, 345, 21894, 32, 17900, 4888, 463, 26861, 2957, 370, 3570, 81, 761, 27, 291, 617, 280, 11522, 32, 944, 81, 1647, 346, 446, 4348, 5237, 32, 1648, 81, 1338, 2511, 308, 37, 30, 225, 34, 711, 291, 1188, 1360, 584, 1360, 32, 944, 81, 1855, 463, 26861, 2957, 370, 3570, 81, 761, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2454, 81, 2387, 26, 3607, 711, 203, 588, 827, 44, 308, 466, 27, 967, 596, 1524, 6830, 3079, 645, 803, 32, 886, 12877, 884, 1742, 432, 322, 2652, 461, 2298, 526, 5964, 619, 4102, 1320, 81, 605, 572, 328, 2074, 4102, 5522, 32, 978, 16688, 10460, 44, 4870, 308, 466, 711, 203, 886, 3079, 1519, 32, 29457, 372, 529, 98, 13166, 774, 82, 2652, 3362, 32, 3759, 44, 596, 44, 886, 1795, 432, 322, 16825, 3079, 32, 1524, 446, 3079, 81, 761, 280, 2322, 32, 983, 32, 2524, 26, 23194, 81, 3197, 30, 330, 8881, 370, 4870, 27, 284, 623, 2156, 26, 2387, 81, 761, 27, 619, 11828, 44, 291, 442, 11828, 32, 850, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4797, 81, 11030, 81, 1515, 26, 983, 1057, 32, 7831, 203, 588, 827, 44, 308, 7556, 77, 466, 1130, 967, 596, 1524, 2744, 600, 7976, 1519, 372, 322, 2702, 2074, 6491, 1519, 32, 499, 753, 1519, 44, 5412, 6491, 1519, 688, 1098, 526, 12785, 372, 322, 2664, 16264, 7976, 1519, 32, 499, 601, 44, 35853, 1519, 32, 1524, 446, 9985, 81, 1515, 280, 2322, 32, 33115, 346, 446, 2322, 32, 31015, 26, 11030, 81, 983, 26, 983, 490, 446, 6761, 446, 2322, 32, 31015, 26, 8945, 81, 1515, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 26, 426, 30, 319, 1536, 711, 203, 588, 827, 44, 308, 466, 30, 6204, 27, 967, 6204, 1524, 1390, 1359, 786, 623, 322, 2702, 636, 461, 5302, 1244, 32, 10460, 44, 636, 308, 466, 711, 203, 886, 636, 432, 322, 1359, 786, 32, 319, 1536, 308, 4277, 711, 203, 1670, 2702, 461, 322, 1202, 4163, 1330, 646, 2307, 30, 458, 1098, 526, 4717, 4174, 32, 1670, 561, 1182, 646, 2702, 461, 322, 1359, 786, 1957, 646, 2307, 30, 29316, 1098, 526, 19565, 3759, 44, 886, 8843, 1359, 786, 32, 1348, 438, 1591, 432, 322, 3649, 2078, 3417, 328, 458, 803, 32, 1670, 322, 786, 1957, 646, 2307, 561, 1098, 442, 529, 1536, 82, 415, 7624, 556, 3636, 529, 2212, 924, 2541, 34904, 44, 29316, 44, 1670, 322, 786, 1957, 646, 2307, 461, 529, 1536, 82, 1597, 646, 2702, 32, 1524, 446, 3649, 485, 81, 1163, 446, 9985, 280, 485, 81, 1163, 284, 436, 1742, 328 ]
[ 636, 32, 2998, 3949, 7831, 291, 415, 1742, 328, 9985, 44, 324, 9985, 280, 9985, 77, 2050, 79, 291, 4348, 1244, 44, 324, 442, 1244, 77, 34, 79, 291, 813, 44, 324, 3636, 29316, 440, 1063, 786, 30267, 1957, 646, 2307, 2296, 1643, 26, 400, 636, 324, 9658, 446, 442, 9985, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 983, 26, 426, 30, 319, 1536, 711, 203, 588, 827, 44, 308, 466, 30, 6204, 27, 967, 6204, 1524, 1390, 1359, 786, 619, 1519, 6491, 372, 322, 2074, 3362, 32, 1348, 6972, 12277, 20720, 322, 2074, 3488, 4797, 322, 36853, 761, 619, 5182, 6491, 372, 688, 36853, 761, 32, 10460, 44, 636, 308, 466, 711, 203, 886, 636, 432, 322, 1359, 786, 6621, 322, 1519, 32, 319, 1536, 308, 4277, 711, 203, 1670, 2702, 461, 322, 1202, 4163, 1330, 646, 2307, 30, 458, 1098, 526, 4717, 4174, 32, 1670, 561, 1182, 646, 2702, 461, 322, 1359, 786, 1957, 646, 2307, 30, 29316, 1098, 526, 19565, 3759, 44, 886, 8843, 1359, 786, 32, 1348, 438, 1591, 432, 322, 3649, 2078, 3417, 328, 458, 803, 32, 1670, 322, 786, 1957, 646, 2307, 561, 1098, 442, 529, 1536, 82, 415, 7624, 556, 3636, 529, 2212, 924, 2541, 34904, 44, 29316, 44, 1670, 322, 786, 1957, 646, 2307, 461, 529, 1536, 82, 1597, 646, 2702, 32, 1524, 446, 3649, 485, 81, 1163, 446, 786, 280, 622, 26, 426, 30, 319, 1536, 27, 446, 415, 786, 438, 1665, 44, 291, 442, 1665, 446, 442, 20460, 81, 983, 26, 853, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 1809, 81, 11030, 81, 2388, 2262, 203, 588, 827, 44, 1404, 967, 5648, 77, 466, 79, 1524, 7477, 322, 2074, 1519, 810, 6783, 973, 322, 803, 4345, 32, 1348, 1098, 2779, 328, 322, 1550, 3362, 461, 973, 8579, 436, 322, 39757, 2957, 803, 20344, 6045, 556, 638, 978, 27, 1524, 446, 20460, 81, 2536, 280, 20073, 470, 39109, 26861, 2957, 32, 978, 370, 330, 26861, 2957, 32, 6045, 2847, 284, 9985, 280, 2322, 32, 33115, 346, 446, 2218, 9985, 32, 15990, 24667, 461, 2069, 26, 8945, 27, 848, 225, 35, 44, 291, 415, 20460, 81, 2536, 549, 20073, 470, 26, 500, 32, 26366, 26, 8945, 8531, 324, 442, 9985, 291, 813, 44, 324, 9985, 280, 2322, 32, 983, 32, 7781, 26, 8945, 27, 446, 442, 1665, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 6042, 81, 6452, 26, 784, 711, 203, 1524, 10570, 322, 3191, 8105, 5375, 1348, 1411, 28896, 688, 322, 8105, 636, 5403, 328, 322, 358, 37, 1733, 4374, 6723, 5375, 32, 499, 601, 44, 1665, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 4635, 81, 6452, 683, 291, 1245, 32, 1338, 463, 1076, 38579, 372, 622, 8105, 44, 301, 84, 16805, 1643, 26, 84, 47, 784, 32, 6452, 81, 426, 490, 291, 1769, 81, 2754, 307, 280, 225, 35, 34, 291, 2385, 280, 225, 35, 291, 2218, 2385, 2511, 1769, 81, 2754, 307, 44, 324, 1245, 32, 1338, 463, 1076, 38579, 372, 5008, 372, 358, 37, 8105, 904, 101, 30, 1596, 904, 101, 432, 904, 101, 370, 3486, 630, 32, 6452, 81, 426, 30, 2385, 30, 1769, 81, 2754, 307, 27, 324, 1596, 44, 400, 630, 32, 101, 37, 1580, 32, 1816, 81, 6452, 26, 9001, 47, 784, 32, 6452, 81, 426, 27, 324, 2940, 5675, 924, 619, 484, 44, 400, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 400, 1048, 81, 687, 280, 629, 26, 87, 32, 1986, 710, 924, 4902, 1227, 3490, 400, 1245, 32, 2811, 26, 528, 330, 40617, 372, 8105, 904, 101, 16500, 1789, 1340, 44, 904, 101, 370, 528, 630, 32, 6452, 81, 426, 30, 1048, 81, 687, 27, 400, 415, 1048, 81, 687, 610, 225, 38, 34, 38, 44, 528, 3124, 280, 330, 924, 225, 38, 34, 38, 1789, 11987, 688, 8105, 301, 84, 111, 1957, 646, 330, 766, 3775, 330, 12527, 3491, 96, 109, 87, 16805, 1643, 26, 84, 47, 784, 32, 6452, 81, 426, 30, 484, 47, 466, 26, 327, 490, 528, 1245, 32, 731, 26, 2076, 27, 528, 3636, 358, 37, 1733, 924, 30, 3124, 30, 8244, 400, 4348, 1048, 81, 687, 610, 225, 39, 34, 34, 556, 1048, 81, 687, 610, 225, 39, 34, 37, 44, 528, 415, 2385, 2377, 1769, 81, 2754, 307, 44, 715, 3124, 280, 330, 69, 37, 8105, 438, 646, 17771, 821, 458, 1133, 44, 301, 84, 4104, 96, 109, 87, 16805, 1643, 26, 1014, 323, 47, 784, 32, 6452, 81, 426, 30, 484, 47, 466, 26, 327, 490, 715, 1245, 32, 731, 26, 2076, 27, 715, 3636, 358, 37, 1733, 924, 30, 3124, 30, 8244, 528, 813, 44, 715, 1245, 32, 8447, 463, 10645, 4717, 1048, 1340, 225, 39, 34, 34, 556, 225, 39, 34, 37, 30, 316, 31, 1270, 299, 328, 225, 36, 8382, 30865, 715, 1133, 32, 7840, 26, 39, 27, 715, 2385, 1454, 225, 35, 715, 4036, 400, 813, 44, 528, 3124, 280, 330, 40617, 372, 358, 37, 8105, 301, 84, 111, 4717, 1340, 44, 301, 85, 4104, 96, 109, 87, 16805, 78, 715, 2179, 26, 84, 47, 784, 32, 6452, 81, 426, 30, 281, 47, 731, 81, 687, 30, 484, 47, 466, 26, 327, 490, 528, 1245, 32, 731, 26, 2076, 27, 528, 3636, 358, 37, 1733, 924, 30, 3124, 30, 8244, 324, 813, 44, 400, 1245, 32, 1338, 463, 3595, 8105, 44, 904, 101, 370, 630, 32, 6452, 81, 426, 27, 400, 442, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1156, 4984, 81, 1070, 81, 101, 37, 26, 784, 30, 1202, 30, 3466 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 636, 32, 2998, 3949, 7831, 291, 415, 1742, 328, 9985, 44, 324, 9985, 280, 9985, 77, 2050, 79, 291, 4348, 1244, 44, 324, 442, 1244, 77, 34, 79, 291, 813, 44, 324, 3636, 29316, 440, 1063, 786, 30267, 1957, 646, 2307, 2296, 1643, 26, 400, 636, 324, 9658, 446, 442, 9985, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 983, 26, 426, 30, 319, 1536, 711, 203, 588, 827, 44, 308, 466, 30, 6204, 27, 967, 6204, 1524, 1390, 1359, 786, 619, 1519, 6491, 372, 322, 2074, 3362, 32, 1348, 6972, 12277, 20720, 322, 2074, 3488, 4797, 322, 36853, 761, 619, 5182, 6491, 372, 688, 36853, 761, 32, 10460, 44, 636, 308, 466, 711, 203, 886, 636, 432, 322, 1359, 786, 6621, 322, 1519, 32, 319, 1536, 308, 4277, 711, 203, 1670, 2702, 461, 322, 1202, 4163, 1330, 646, 2307, 30, 458, 1098, 526, 4717, 4174, 32, 1670, 561, 1182, 646, 2702, 461, 322, 1359, 786, 1957, 646, 2307, 30, 29316, 1098, 526, 19565, 3759, 44, 886, 8843, 1359, 786, 32, 1348, 438, 1591, 432, 322, 3649, 2078, 3417, 328, 458, 803, 32, 1670, 322, 786, 1957, 646, 2307, 561, 1098, 442, 529, 1536, 82, 415, 7624, 556, 3636, 529, 2212, 924, 2541, 34904, 44, 29316, 44, 1670, 322, 786, 1957, 646, 2307, 461, 529, 1536, 82, 1597, 646, 2702, 32, 1524, 446, 3649, 485, 81, 1163, 446, 786, 280, 622, 26, 426, 30, 319, 1536, 27, 446, 415, 786, 438, 1665, 44, 291, 442, 1665, 446, 442, 20460, 81, 983, 26, 853, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 1809, 81, 11030, 81, 2388, 2262, 203, 588, 827, 44, 1404, 967, 5648, 77, 466, 79, 1524, 7477, 322, 2074, 1519, 810, 6783, 973, 322, 803, 4345, 32, 1348, 1098, 2779, 328, 322, 1550, 3362, 461, 973, 8579, 436, 322, 39757, 2957, 803, 20344, 6045, 556, 638, 978, 27, 1524, 446, 20460, 81, 2536, 280, 20073, 470, 39109, 26861, 2957, 32, 978, 370, 330, 26861, 2957, 32, 6045, 2847, 284, 9985, 280, 2322, 32, 33115, 346, 446, 2218, 9985, 32, 15990, 24667, 461, 2069, 26, 8945, 27, 848, 225, 35, 44, 291, 415, 20460, 81, 2536, 549, 20073, 470, 26, 500, 32, 26366, 26, 8945, 8531, 324, 442, 9985, 291, 813, 44, 324, 9985, 280, 2322, 32, 983, 32, 7781, 26, 8945, 27, 446, 442, 1665, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 6042, 81, 6452, 26, 784, 711, 203, 1524, 10570, 322, 3191, 8105, 5375, 1348, 1411, 28896, 688, 322, 8105, 636, 5403, 328, 322, 358, 37, 1733, 4374, 6723, 5375, 32, 499, 601, 44, 1665, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 4635, 81, 6452, 683, 291, 1245, 32, 1338, 463, 1076, 38579, 372, 622, 8105, 44, 301, 84, 16805, 1643, 26, 84, 47, 784, 32, 6452, 81, 426, 490, 291, 1769, 81, 2754, 307, 280, 225, 35, 34, 291, 2385, 280, 225, 35, 291, 2218, 2385, 2511, 1769, 81, 2754, 307, 44, 324, 1245, 32, 1338, 463, 1076, 38579, 372, 5008, 372, 358, 37, 8105, 904, 101, 30, 1596, 904, 101, 432, 904, 101, 370, 3486, 630, 32, 6452, 81, 426, 30, 2385, 30, 1769, 81, 2754, 307, 27, 324, 1596, 44, 400, 630, 32, 101, 37, 1580, 32, 1816, 81, 6452, 26, 9001, 47, 784, 32, 6452, 81, 426, 27, 324, 2940, 5675, 924, 619, 484, 44, 400, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 400, 1048, 81, 687, 280, 629, 26, 87, 32, 1986, 710, 924, 4902, 1227, 3490, 400, 1245, 32, 2811, 26, 528, 330, 40617, 372, 8105, 904, 101, 16500, 1789, 1340, 44, 904, 101, 370, 528, 630, 32, 6452, 81, 426, 30, 1048, 81, 687, 27, 400, 415, 1048, 81, 687, 610, 225, 38, 34, 38, 44, 528, 3124, 280, 330, 924, 225, 38, 34, 38, 1789, 11987, 688, 8105, 301, 84, 111, 1957, 646, 330, 766, 3775, 330, 12527, 3491, 96, 109, 87, 16805, 1643, 26, 84, 47, 784, 32, 6452, 81, 426, 30, 484, 47, 466, 26, 327, 490, 528, 1245, 32, 731, 26, 2076, 27, 528, 3636, 358, 37, 1733, 924, 30, 3124, 30, 8244, 400, 4348, 1048, 81, 687, 610, 225, 39, 34, 34, 556, 1048, 81, 687, 610, 225, 39, 34, 37, 44, 528, 415, 2385, 2377, 1769, 81, 2754, 307, 44, 715, 3124, 280, 330, 69, 37, 8105, 438, 646, 17771, 821, 458, 1133, 44, 301, 84, 4104, 96, 109, 87, 16805, 1643, 26, 1014, 323, 47, 784, 32, 6452, 81, 426, 30, 484, 47, 466, 26, 327, 490, 715, 1245, 32, 731, 26, 2076, 27, 715, 3636, 358, 37, 1733, 924, 30, 3124, 30, 8244, 528, 813, 44, 715, 1245, 32, 8447, 463, 10645, 4717, 1048, 1340, 225, 39, 34, 34, 556, 225, 39, 34, 37, 30, 316, 31, 1270, 299, 328, 225, 36, 8382, 30865, 715, 1133, 32, 7840, 26, 39, 27, 715, 2385, 1454, 225, 35, 715, 4036, 400, 813, 44, 528, 3124, 280, 330, 40617, 372, 358, 37, 8105, 301, 84, 111, 4717, 1340, 44, 301, 85, 4104, 96, 109, 87, 16805, 78, 715, 2179, 26, 84, 47, 784, 32, 6452, 81, 426, 30, 281, 47, 731, 81, 687, 30, 484, 47, 466, 26, 327, 490, 528, 1245, 32, 731, 26, 2076, 27, 528, 3636, 358, 37, 1733, 924, 30, 3124, 30, 8244, 324, 813, 44, 400, 1245, 32, 1338, 463, 3595, 8105, 44, 904, 101, 370, 630, 32, 6452, 81, 426, 27, 400, 442, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1156, 4984, 81, 1070, 81, 101, 37, 26, 784, 30, 1202, 30, 3466 ]
[ 81, 1515, 711, 203, 1524, 6527, 1411, 436, 24830, 645, 358, 37, 1348, 945, 9332, 1411, 8727, 312, 1202, 461, 322, 3536, 1519, 372, 322, 8050, 3362, 30, 22416, 688, 322, 2181, 1159, 2583, 25776, 810, 322, 562, 13097, 4438, 30, 461, 20130, 372, 5822, 322, 3191, 1202, 372, 322, 3466, 81, 1515, 32, 499, 753, 1202, 44, 308, 466, 27, 358, 37, 1202, 436, 322, 803, 372, 526, 17236, 499, 753, 3466, 81, 1515, 44, 308, 466, 27, 13529, 1519, 8050, 3362, 499, 601, 44, 308, 466, 27, 9146, 5893, 803, 8050, 415, 322, 803, 1597, 17236, 7504, 30, 1665, 5878, 32, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 330, 3667, 4984, 81, 1070, 81, 101, 37, 683, 291, 4870, 280, 1202, 32, 2998, 24667, 6448, 35, 79, 291, 415, 4870, 438, 1665, 44, 324, 1245, 32, 731, 463, 9752, 646, 9921, 322, 4870, 645, 1202, 44, 904, 101, 370, 1202, 27, 324, 442, 1665, 291, 8050, 280, 3466, 81, 1515, 474, 13637, 474, 4870, 291, 1245, 32, 1338, 463, 1076, 38579, 372, 5822, 904, 101, 645, 8105, 904, 101, 372, 8050, 904, 101, 370, 353, 1202, 30, 630, 32, 6452, 81, 426, 30, 8050, 27, 291, 1769, 81, 2754, 307, 280, 225, 35, 34, 291, 2385, 280, 225, 35, 291, 2218, 2385, 2511, 1769, 81, 2754, 307, 44, 324, 1245, 32, 1338, 463, 1076, 38579, 372, 5822, 803, 904, 101, 30, 1596, 904, 101, 432, 904, 101, 370, 1202, 30, 3486, 2385, 30, 1769, 81, 2754, 307, 27, 324, 1596, 44, 400, 630, 32, 101, 37, 1580, 32, 4984, 81, 761, 26, 528, 27062, 47, 784, 32, 6452, 81, 426, 30, 3891, 47, 678, 30, 37960, 47, 9749, 27, 324, 2940, 5675, 924, 44, 400, 415, 2385, 2377, 1769, 81, 2754, 307, 44, 528, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 528, 3124, 280, 330, 12014, 372, 5822, 1202, 301, 93, 111, 645, 358, 37, 8105, 301, 84, 111, 3491, 96, 109, 87, 16805, 1643, 26, 715, 831, 47, 678, 30, 323, 47, 784, 32, 6452, 81, 426, 30, 484, 47, 466, 26, 327, 490, 528, 1245, 32, 731, 26, 2076, 27, 528, 3636, 358, 37, 1733, 924, 30, 3124, 30, 8244, 400, 813, 44, 528, 1245, 32, 8447, 463, 7495, 3803, 30, 316, 31, 1270, 299, 30865, 528, 2385, 1454, 225, 35, 528, 1133, 32, 7840, 26, 39, 27, 528, 4036, 324, 813, 44, 400, 1245, 32, 1338, 463, 24724, 17236, 904, 101, 645, 358, 37, 8105, 904, 101, 372, 44, 904, 101, 370, 656, 1202, 30, 656, 630, 32, 6452, 81, 426, 30, 656, 8050, 27, 400, 442, 8050, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5822, 81, 761, 81, 1170, 81, 678, 26, 784, 30, 1202, 30, 3466, 81, 1515, 711, 203, 1524, 27305, 312, 803, 810, 1202, 645, 322, 3191, 358, 37, 8105, 1348, 1411, 8727, 322, 3536, 330, 678, 25, 619, 322, 1638, 30, 461, 20130, 372, 5822, 322, 803, 372, 322, 3191, 3466, 81, 1515, 619, 322, 8050, 3362, 32, 1348, 1411, 6900, 322, 17236, 4870, 372, 526, 322, 2432, 619, 561, 438, 544, 358, 37, 32, 499, 753, 1202, 44, 308, 466, 27, 358, 37, 1202, 436, 322, 803, 372, 526, 17236, 32, 499, 753, 3466, 81, 1515, 44, 308, 466, 27, 13529, 1519, 8050, 3362, 499, 601, 44, 308, 466, 27, 9146, 5893, 803, 8050, 415, 322, 803, 1597, 17236, 7504, 30, 1665, 5878, 32, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 4984, 81, 761, 81, 1170, 81, 678, 683, 291, 415, 646, 6937, 26, 678, 30, 1695, 800, 711, 324, 1245, 32, 731, 463, 678, 2793, 438, 646, 312, 802, 683, 324, 442, 1665, 291, 415, 646, 6937, 26, 3316, 81, 1515, 30, 1695, 800, 711, 324, 1245, 32, 731, 463, 3316, 81, 1515, 2793, 438, 646, 312, 802, 683, 324, 442, 1665, 291, 415, 646, 2322, 32, 983, 32, 34103, 26, 3316, 81, 1515, 711, 324, 1245, 32, 731, 463, 4542, 646, 2431, 544, 803, 2664, 44, 904, 101, 370, 3466, 81, 1515, 27, 324, 442, 1665, 291, 1596, 44, 324, 3466, 81, 983, 280, 630, 3667, 4984, 81, 1070, 81, 101, 37, 26, 678, 30, 3466, 81, 1515, 27, 291, 2940, 358, 37, 1733, 924, 44, 324, 3636, 291, 442, 3466, 81, 983, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5822, 81, 761, 26, 784, 30, 9667, 30, 3466, 81, 1515, 711, 203, 1524, 27305, 312, 803, 810, 9667, 645, 322, 3191, 358, 37, 8105, 1348, 1411, 8727, 312, 10605, 6101, 619, 322, 1638, 30, 461, 20130, 372, 5822, 322, 803, 372, 322, 3191, 3466, 81, 1515, 619, 322, 8050, 3362, 32, 1348, 1411, 6900, 322, 17236, 4870, 372, 526, 322, 2432, 619, 561, 438, 544, 358, 37, 32, 499, 753, 9667, 44, 308, 466, 27, 33196, 6101, 9215, 322, 358, 37, 1202, 436, 322, 803, 372, 526, 17236, 32, 499, 753, 3466, 81, 1515, 44, 308, 466, 27, 13529, 1519, 8050, 3362, 499, 601, 44, 308, 466, 27, 9146, 5893, 803, 8050, 415, 322, 803, 1597, 17236, 7504, 30, 1665, 5878, 32, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 4984, 81, 761, 683, 291, 415, 646, 6937, 26, 7920, 30, 1695, 800, 711, 324, 1245, 32, 731, 463, 7920, 2793, 438, 646, 312, 802, 683, 324, 442, 1665, 291, 415, 646, 6937, 26, 3316, 81, 1515, 30, 1695, 800, 711, 324, 1245, 32, 731, 463, 3316, 81, 1515, 2793, 438, 646, 312, 802, 683, 324, 442, 1665, 291, 415, 646, 2322, 32, 983, 32, 34103, 26, 3316, 81, 1515, 711, 324, 1245, 32, 731, 463, 4542, 646, 2431, 544, 803, 2664, 44, 904, 101, 370, 3466, 81, 1515, 27, 324, 442, 1665, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 81, 1515, 711, 203, 1524, 6527, 1411, 436, 24830, 645, 358, 37, 1348, 945, 9332, 1411, 8727, 312, 1202, 461, 322, 3536, 1519, 372, 322, 8050, 3362, 30, 22416, 688, 322, 2181, 1159, 2583, 25776, 810, 322, 562, 13097, 4438, 30, 461, 20130, 372, 5822, 322, 3191, 1202, 372, 322, 3466, 81, 1515, 32, 499, 753, 1202, 44, 308, 466, 27, 358, 37, 1202, 436, 322, 803, 372, 526, 17236, 499, 753, 3466, 81, 1515, 44, 308, 466, 27, 13529, 1519, 8050, 3362, 499, 601, 44, 308, 466, 27, 9146, 5893, 803, 8050, 415, 322, 803, 1597, 17236, 7504, 30, 1665, 5878, 32, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 330, 3667, 4984, 81, 1070, 81, 101, 37, 683, 291, 4870, 280, 1202, 32, 2998, 24667, 6448, 35, 79, 291, 415, 4870, 438, 1665, 44, 324, 1245, 32, 731, 463, 9752, 646, 9921, 322, 4870, 645, 1202, 44, 904, 101, 370, 1202, 27, 324, 442, 1665, 291, 8050, 280, 3466, 81, 1515, 474, 13637, 474, 4870, 291, 1245, 32, 1338, 463, 1076, 38579, 372, 5822, 904, 101, 645, 8105, 904, 101, 372, 8050, 904, 101, 370, 353, 1202, 30, 630, 32, 6452, 81, 426, 30, 8050, 27, 291, 1769, 81, 2754, 307, 280, 225, 35, 34, 291, 2385, 280, 225, 35, 291, 2218, 2385, 2511, 1769, 81, 2754, 307, 44, 324, 1245, 32, 1338, 463, 1076, 38579, 372, 5822, 803, 904, 101, 30, 1596, 904, 101, 432, 904, 101, 370, 1202, 30, 3486, 2385, 30, 1769, 81, 2754, 307, 27, 324, 1596, 44, 400, 630, 32, 101, 37, 1580, 32, 4984, 81, 761, 26, 528, 27062, 47, 784, 32, 6452, 81, 426, 30, 3891, 47, 678, 30, 37960, 47, 9749, 27, 324, 2940, 5675, 924, 44, 400, 415, 2385, 2377, 1769, 81, 2754, 307, 44, 528, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 528, 3124, 280, 330, 12014, 372, 5822, 1202, 301, 93, 111, 645, 358, 37, 8105, 301, 84, 111, 3491, 96, 109, 87, 16805, 1643, 26, 715, 831, 47, 678, 30, 323, 47, 784, 32, 6452, 81, 426, 30, 484, 47, 466, 26, 327, 490, 528, 1245, 32, 731, 26, 2076, 27, 528, 3636, 358, 37, 1733, 924, 30, 3124, 30, 8244, 400, 813, 44, 528, 1245, 32, 8447, 463, 7495, 3803, 30, 316, 31, 1270, 299, 30865, 528, 2385, 1454, 225, 35, 528, 1133, 32, 7840, 26, 39, 27, 528, 4036, 324, 813, 44, 400, 1245, 32, 1338, 463, 24724, 17236, 904, 101, 645, 358, 37, 8105, 904, 101, 372, 44, 904, 101, 370, 656, 1202, 30, 656, 630, 32, 6452, 81, 426, 30, 656, 8050, 27, 400, 442, 8050, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5822, 81, 761, 81, 1170, 81, 678, 26, 784, 30, 1202, 30, 3466, 81, 1515, 711, 203, 1524, 27305, 312, 803, 810, 1202, 645, 322, 3191, 358, 37, 8105, 1348, 1411, 8727, 322, 3536, 330, 678, 25, 619, 322, 1638, 30, 461, 20130, 372, 5822, 322, 803, 372, 322, 3191, 3466, 81, 1515, 619, 322, 8050, 3362, 32, 1348, 1411, 6900, 322, 17236, 4870, 372, 526, 322, 2432, 619, 561, 438, 544, 358, 37, 32, 499, 753, 1202, 44, 308, 466, 27, 358, 37, 1202, 436, 322, 803, 372, 526, 17236, 32, 499, 753, 3466, 81, 1515, 44, 308, 466, 27, 13529, 1519, 8050, 3362, 499, 601, 44, 308, 466, 27, 9146, 5893, 803, 8050, 415, 322, 803, 1597, 17236, 7504, 30, 1665, 5878, 32, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 4984, 81, 761, 81, 1170, 81, 678, 683, 291, 415, 646, 6937, 26, 678, 30, 1695, 800, 711, 324, 1245, 32, 731, 463, 678, 2793, 438, 646, 312, 802, 683, 324, 442, 1665, 291, 415, 646, 6937, 26, 3316, 81, 1515, 30, 1695, 800, 711, 324, 1245, 32, 731, 463, 3316, 81, 1515, 2793, 438, 646, 312, 802, 683, 324, 442, 1665, 291, 415, 646, 2322, 32, 983, 32, 34103, 26, 3316, 81, 1515, 711, 324, 1245, 32, 731, 463, 4542, 646, 2431, 544, 803, 2664, 44, 904, 101, 370, 3466, 81, 1515, 27, 324, 442, 1665, 291, 1596, 44, 324, 3466, 81, 983, 280, 630, 3667, 4984, 81, 1070, 81, 101, 37, 26, 678, 30, 3466, 81, 1515, 27, 291, 2940, 358, 37, 1733, 924, 44, 324, 3636, 291, 442, 3466, 81, 983, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5822, 81, 761, 26, 784, 30, 9667, 30, 3466, 81, 1515, 711, 203, 1524, 27305, 312, 803, 810, 9667, 645, 322, 3191, 358, 37, 8105, 1348, 1411, 8727, 312, 10605, 6101, 619, 322, 1638, 30, 461, 20130, 372, 5822, 322, 803, 372, 322, 3191, 3466, 81, 1515, 619, 322, 8050, 3362, 32, 1348, 1411, 6900, 322, 17236, 4870, 372, 526, 322, 2432, 619, 561, 438, 544, 358, 37, 32, 499, 753, 9667, 44, 308, 466, 27, 33196, 6101, 9215, 322, 358, 37, 1202, 436, 322, 803, 372, 526, 17236, 32, 499, 753, 3466, 81, 1515, 44, 308, 466, 27, 13529, 1519, 8050, 3362, 499, 601, 44, 308, 466, 27, 9146, 5893, 803, 8050, 415, 322, 803, 1597, 17236, 7504, 30, 1665, 5878, 32, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 4984, 81, 761, 683, 291, 415, 646, 6937, 26, 7920, 30, 1695, 800, 711, 324, 1245, 32, 731, 463, 7920, 2793, 438, 646, 312, 802, 683, 324, 442, 1665, 291, 415, 646, 6937, 26, 3316, 81, 1515, 30, 1695, 800, 711, 324, 1245, 32, 731, 463, 3316, 81, 1515, 2793, 438, 646, 312, 802, 683, 324, 442, 1665, 291, 415, 646, 2322, 32, 983, 32, 34103, 26, 3316, 81, 1515, 711, 324, 1245, 32, 731, 463, 4542, 646, 2431, 544, 803, 2664, 44, 904, 101, 370, 3466, 81, 1515, 27, 324, 442, 1665, 291 ]
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
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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
[ 1256, 284, 11655, 280, 225, 34, 284, 2218, 11655, 333, 225, 35, 556, 11655, 848, 2069, 26, 26883, 711, 291, 13012, 280, 313, 14686, 312, 1695, 5573, 645, 322, 3684, 428, 35, 31, 45108, 2296, 1643, 26, 324, 2069, 26, 26883, 27, 291, 829, 291, 11655, 280, 5021, 32, 13232, 26, 13232, 30, 786, 81, 6789, 47, 410, 27, 291, 415, 646, 308, 35, 2511, 11655, 2511, 2069, 26, 26883, 8531, 324, 4550, 280, 313, 3817, 11655, 6663, 844, 2298, 8298, 312, 1451, 3733, 2149, 461, 2149, 20, 324, 1245, 32, 530, 26, 3972, 32, 1643, 26, 11447, 30, 225, 35, 30, 2069, 26, 26883, 2610, 446, 442, 19216, 77, 11447, 429, 225, 35, 79, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 25628, 311, 2262, 284, 5881, 284, 5640, 322, 1420, 1411, 432, 322, 12982, 733, 443, 415, 322, 1550, 803, 438, 322, 2575, 803, 284, 5881, 284, 665, 7767, 26, 6933, 711, 584, 1188, 17787, 291, 415, 17787, 32, 371, 1647, 26, 6933, 14585, 426, 505, 610, 9602, 1831, 18018, 324, 9011, 922, 1945, 346, 291, 442, 9011, 446, 442, 7767, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 10477, 3585, 26, 4948, 711, 203, 1524, 1410, 684, 101, 3995, 2078, 645, 477, 4948, 6222, 477, 4948, 438, 3502, 1524, 446, 8690, 280, 8690, 32, 2991, 346, 284, 9173, 280, 23735, 922, 11447, 284, 3345, 280, 8690, 32, 2546, 284, 436, 816, 328, 2155, 26, 1657, 26, 4948, 8531, 291, 533, 280, 9173, 26, 4948, 27, 291, 3345, 26, 107, 27, 291, 6761, 533, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 6042, 81, 639, 81, 2468, 26, 639, 81, 2468, 711, 203, 1524, 9197, 322, 4749, 81, 2468, 499, 753, 4749, 81, 2468, 44, 308, 466, 27, 4600, 2965, 499, 601, 44, 308, 2420, 27, 2933, 415, 322, 4749, 81, 2468, 438, 2080, 1524, 446, 588, 12888, 322, 4600, 2965, 284, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 4635, 81, 639, 81, 2468, 683, 284, 415, 646, 6937, 26, 639, 81, 2468, 30, 1695, 800, 711, 291, 1245, 32, 8447, 463, 639, 81, 2468, 2793, 438, 646, 312, 802, 683, 291, 442, 3177, 446, 588, 15545, 2017, 884, 225, 37, 31117, 284, 1929, 81, 23373, 280, 225, 34, 284, 436, 281, 328, 4749, 81, 2468, 44, 291, 415, 281, 610, 5608, 950, 324, 1929, 81, 23373, 1454, 225, 35, 284, 415, 1929, 81, 23373, 863, 225, 37, 44, 291, 1245, 32, 1338, 463, 1337, 312, 2080, 4600, 2965, 44, 301, 91, 16805, 1643, 26, 91, 47, 639, 81, 2468, 490, 291, 442, 3177, 446, 588, 4417, 322, 6234, 2297, 372, 894, 284, 1596, 44, 291, 6234, 32, 13246, 81, 20403, 26, 639, 81, 2468, 27, 284, 2940, 6234, 32, 731, 619, 484, 44, 291, 1245, 32, 1338, 463, 1337, 312, 2080, 4600, 2965, 44, 301, 91, 4104, 96, 109, 87, 16805, 1643, 26, 91, 47, 639, 81, 2468, 30, 484, 47, 87, 490, 291, 442, 3177, 284, 813, 44, 291, 1245, 32, 1338, 463, 38677, 4600, 2965, 44, 904, 101, 370, 4749, 81, 2468, 27, 291, 442, 2933, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4749, 81, 3225, 2262, 203, 1524, 25626, 322, 4749, 8705, 2016, 372, 10703, 4600, 11019, 810, 3298, 499, 601, 44, 308, 2665, 27, 1988, 2690, 3298, 44, 4749, 81, 2468, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 639, 81, 3225, 683, 284, 1245, 32, 2811, 463, 9514, 322, 4749, 8705, 2016, 30865, 284, 4749, 81, 3225, 81, 2024, 280, 2149, 446, 2016, 280, 2107, 639, 370, 330, 3225, 785, 284, 1596, 44, 291, 4749, 81, 3225, 81, 1267, 280, 1420, 81, 2501, 26, 2501, 30, 5868, 81, 4215, 47, 36, 34, 27, 284, 2940, 5718, 924, 44, 291, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 291, 3124, 280, 330, 8309, 1597, 312, 3708, 3974, 2016, 44, 301, 85, 16805, 1643, 26, 85, 1057, 5608, 2524, 26, 2501, 490, 291, 3636, 5718, 924, 30, 3124, 30, 8244, 446, 4749, 81, 3225, 81, 4446, 280, 4749, 81, 3225, 81, 1267, 710, 2024, 5695, 2998, 9442, 96, 683, 446, 436, 1628, 328, 4749, 81, 3225, 81, 4446, 44, 291, 1628, 280, 1628, 32, 7201, 346, 291, 415, 1628, 32, 15990, 463, 13246, 40, 7831, 324, 4036, 291, 4348, 1628, 32, 15990, 463, 13246, 7831, 324, 8710, 280, 1628, 32, 2998, 346, 324, 1596, 44, 400, 4749, 81, 2468, 280, 8710, 77, 35, 997, 7201, 922, 2998, 3247, 11968, 34, 79, 324, 2940, 25085, 44, 400, 4036, 324, 813, 44, 400, 415, 646, 6042, 81, 639, 81, 2468, 26, 639, 81, 2468, 711, 528, 4036, 400, 813, 44, 528, 436, 1742, 328, 8710, 44, 715, 1742, 280, 1742, 32, 7201, 346, 715, 415, 1742, 32, 7201, 922, 15990, 463, 9968, 683, 556, 1742, 32, 7201, 922, 15990, 463, 7888, 683, 556, 766, 1378, 1742, 32, 7201, 922, 15990, 463, 1229, 7831, 1014, 3298, 280, 1742, 1014, 4749, 81, 3225, 81, 2024, 77, 2929, 79, 280, 4749, 81, 2468, 284, 442, 4749, 81, 3225, 81, 2024, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 739, 81, 1855, 81, 639, 81, 979, 81, 3337, 26, 1855, 81, 639, 81, 2468, 30, 10848, 81, 1855, 81, 639, 81, 2468, 30, 3298, 81, 1516, 47, 34, 711, 203, 1524, 1063, 3009, 322, 1914, 4600, 2965, 436, 312, 7946, 2568, 499, 753, 1914, 81, 639, 81, 2468, 44, 308, 466, 27, 6374, 4600, 2965, 372, 1539, 499, 753, 10848, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1256, 284, 11655, 280, 225, 34, 284, 2218, 11655, 333, 225, 35, 556, 11655, 848, 2069, 26, 26883, 711, 291, 13012, 280, 313, 14686, 312, 1695, 5573, 645, 322, 3684, 428, 35, 31, 45108, 2296, 1643, 26, 324, 2069, 26, 26883, 27, 291, 829, 291, 11655, 280, 5021, 32, 13232, 26, 13232, 30, 786, 81, 6789, 47, 410, 27, 291, 415, 646, 308, 35, 2511, 11655, 2511, 2069, 26, 26883, 8531, 324, 4550, 280, 313, 3817, 11655, 6663, 844, 2298, 8298, 312, 1451, 3733, 2149, 461, 2149, 20, 324, 1245, 32, 530, 26, 3972, 32, 1643, 26, 11447, 30, 225, 35, 30, 2069, 26, 26883, 2610, 446, 442, 19216, 77, 11447, 429, 225, 35, 79, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 25628, 311, 2262, 284, 5881, 284, 5640, 322, 1420, 1411, 432, 322, 12982, 733, 443, 415, 322, 1550, 803, 438, 322, 2575, 803, 284, 5881, 284, 665, 7767, 26, 6933, 711, 584, 1188, 17787, 291, 415, 17787, 32, 371, 1647, 26, 6933, 14585, 426, 505, 610, 9602, 1831, 18018, 324, 9011, 922, 1945, 346, 291, 442, 9011, 446, 442, 7767, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 10477, 3585, 26, 4948, 711, 203, 1524, 1410, 684, 101, 3995, 2078, 645, 477, 4948, 6222, 477, 4948, 438, 3502, 1524, 446, 8690, 280, 8690, 32, 2991, 346, 284, 9173, 280, 23735, 922, 11447, 284, 3345, 280, 8690, 32, 2546, 284, 436, 816, 328, 2155, 26, 1657, 26, 4948, 8531, 291, 533, 280, 9173, 26, 4948, 27, 291, 3345, 26, 107, 27, 291, 6761, 533, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 6042, 81, 639, 81, 2468, 26, 639, 81, 2468, 711, 203, 1524, 9197, 322, 4749, 81, 2468, 499, 753, 4749, 81, 2468, 44, 308, 466, 27, 4600, 2965, 499, 601, 44, 308, 2420, 27, 2933, 415, 322, 4749, 81, 2468, 438, 2080, 1524, 446, 588, 12888, 322, 4600, 2965, 284, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 4635, 81, 639, 81, 2468, 683, 284, 415, 646, 6937, 26, 639, 81, 2468, 30, 1695, 800, 711, 291, 1245, 32, 8447, 463, 639, 81, 2468, 2793, 438, 646, 312, 802, 683, 291, 442, 3177, 446, 588, 15545, 2017, 884, 225, 37, 31117, 284, 1929, 81, 23373, 280, 225, 34, 284, 436, 281, 328, 4749, 81, 2468, 44, 291, 415, 281, 610, 5608, 950, 324, 1929, 81, 23373, 1454, 225, 35, 284, 415, 1929, 81, 23373, 863, 225, 37, 44, 291, 1245, 32, 1338, 463, 1337, 312, 2080, 4600, 2965, 44, 301, 91, 16805, 1643, 26, 91, 47, 639, 81, 2468, 490, 291, 442, 3177, 446, 588, 4417, 322, 6234, 2297, 372, 894, 284, 1596, 44, 291, 6234, 32, 13246, 81, 20403, 26, 639, 81, 2468, 27, 284, 2940, 6234, 32, 731, 619, 484, 44, 291, 1245, 32, 1338, 463, 1337, 312, 2080, 4600, 2965, 44, 301, 91, 4104, 96, 109, 87, 16805, 1643, 26, 91, 47, 639, 81, 2468, 30, 484, 47, 87, 490, 291, 442, 3177, 284, 813, 44, 291, 1245, 32, 1338, 463, 38677, 4600, 2965, 44, 904, 101, 370, 4749, 81, 2468, 27, 291, 442, 2933, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4749, 81, 3225, 2262, 203, 1524, 25626, 322, 4749, 8705, 2016, 372, 10703, 4600, 11019, 810, 3298, 499, 601, 44, 308, 2665, 27, 1988, 2690, 3298, 44, 4749, 81, 2468, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 639, 81, 3225, 683, 284, 1245, 32, 2811, 463, 9514, 322, 4749, 8705, 2016, 30865, 284, 4749, 81, 3225, 81, 2024, 280, 2149, 446, 2016, 280, 2107, 639, 370, 330, 3225, 785, 284, 1596, 44, 291, 4749, 81, 3225, 81, 1267, 280, 1420, 81, 2501, 26, 2501, 30, 5868, 81, 4215, 47, 36, 34, 27, 284, 2940, 5718, 924, 44, 291, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 291, 3124, 280, 330, 8309, 1597, 312, 3708, 3974, 2016, 44, 301, 85, 16805, 1643, 26, 85, 1057, 5608, 2524, 26, 2501, 490, 291, 3636, 5718, 924, 30, 3124, 30, 8244, 446, 4749, 81, 3225, 81, 4446, 280, 4749, 81, 3225, 81, 1267, 710, 2024, 5695, 2998, 9442, 96, 683, 446, 436, 1628, 328, 4749, 81, 3225, 81, 4446, 44, 291, 1628, 280, 1628, 32, 7201, 346, 291, 415, 1628, 32, 15990, 463, 13246, 40, 7831, 324, 4036, 291, 4348, 1628, 32, 15990, 463, 13246, 7831, 324, 8710, 280, 1628, 32, 2998, 346, 324, 1596, 44, 400, 4749, 81, 2468, 280, 8710, 77, 35, 997, 7201, 922, 2998, 3247, 11968, 34, 79, 324, 2940, 25085, 44, 400, 4036, 324, 813, 44, 400, 415, 646, 6042, 81, 639, 81, 2468, 26, 639, 81, 2468, 711, 528, 4036, 400, 813, 44, 528, 436, 1742, 328, 8710, 44, 715, 1742, 280, 1742, 32, 7201, 346, 715, 415, 1742, 32, 7201, 922, 15990, 463, 9968, 683, 556, 1742, 32, 7201, 922, 15990, 463, 7888, 683, 556, 766, 1378, 1742, 32, 7201, 922, 15990, 463, 1229, 7831, 1014, 3298, 280, 1742, 1014, 4749, 81, 3225, 81, 2024, 77, 2929, 79, 280, 4749, 81, 2468, 284, 442, 4749, 81, 3225, 81, 2024, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 739, 81, 1855, 81, 639, 81, 979, 81, 3337, 26, 1855, 81, 639, 81, 2468, 30, 10848, 81, 1855, 81, 639, 81, 2468, 30, 3298, 81, 1516, 47, 34, 711, 203, 1524, 1063, 3009, 322, 1914, 4600, 2965, 436, 312, 7946, 2568, 499, 753, 1914, 81, 639, 81, 2468, 44, 308, 466, 27, 6374, 4600, 2965, 372, 1539, 499, 753, 10848, 81 ]
[ 1855, 81, 639, 81, 2468, 44, 308, 466, 27, 4600, 2965, 372, 8488, 619, 322, 1914, 328, 27701, 19318, 499, 753, 3298, 81, 1516, 44, 308, 410, 27, 4401, 2568, 3298, 1451, 372, 8488, 499, 601, 44, 1665, 499, 16708, 44, 12678, 30, 10091, 30, 546, 21887, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 470, 81, 1855, 81, 639, 81, 979, 81, 3337, 683, 284, 415, 646, 6937, 26, 1855, 81, 639, 81, 2468, 30, 1695, 800, 711, 291, 3124, 280, 330, 626, 1914, 81, 639, 81, 2468, 2298, 526, 312, 802, 25, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 12678, 26, 2076, 27, 284, 415, 646, 6937, 26, 23777, 81, 1855, 81, 639, 81, 2468, 30, 1695, 800, 711, 291, 3124, 280, 330, 626, 10848, 81, 1855, 81, 639, 81, 2468, 2298, 526, 312, 802, 25, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 12678, 26, 2076, 27, 284, 415, 646, 6042, 81, 639, 81, 2468, 26, 639, 81, 2468, 47, 1855, 81, 639, 81, 2468, 711, 291, 3124, 280, 330, 1318, 1638, 1914, 81, 639, 81, 2468, 1597, 2431, 372, 526, 600, 5535, 4600, 2965, 32, 225, 5294, 3097, 312, 2080, 4600, 2965, 25, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 10091, 26, 2076, 27, 284, 415, 646, 6042, 81, 639, 81, 2468, 26, 639, 81, 2468, 47, 23777, 81, 1855, 81, 639, 81, 2468, 711, 291, 3124, 280, 330, 1318, 1638, 10848, 81, 1855, 81, 639, 81, 2468, 1597, 2431, 372, 526, 600, 5535, 4600, 2965, 32, 225, 5294, 3097, 312, 2080, 4600, 2965, 25, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 10091, 26, 2076, 27, 446, 588, 22022, 322, 3298, 636, 4122, 544, 322, 3298, 81, 1516, 284, 1245, 32, 2811, 463, 1076, 38579, 372, 9921, 322, 3298, 636, 4122, 544, 322, 3298, 81, 1516, 1638, 30865, 284, 1596, 44, 291, 629, 26, 2929, 81, 1516, 27, 284, 2940, 10091, 44, 291, 415, 6937, 26, 2929, 81, 1516, 30, 1695, 800, 711, 324, 3298, 81, 426, 280, 3298, 81, 1516, 324, 1245, 32, 1338, 463, 29534, 3298, 81, 1516, 438, 646, 600, 629, 30, 26933, 561, 438, 322, 3536, 3298, 636, 44, 301, 86, 16805, 1643, 26, 400, 343, 47, 2929, 81, 426, 490, 291, 813, 44, 324, 3636, 12678, 463, 2929, 81, 1516, 1638, 2298, 526, 312, 802, 556, 629, 683, 284, 813, 44, 291, 3298, 81, 426, 280, 330, 9968, 109, 96, 16805, 1643, 26, 96, 47, 466, 26, 2929, 81, 1516, 490, 291, 1245, 32, 1338, 463, 29534, 3298, 81, 1516, 438, 600, 629, 30, 26933, 3298, 636, 438, 44, 301, 86, 16805, 1643, 26, 86, 47, 2929, 81, 426, 490, 446, 588, 5238, 322, 2016, 284, 588, 45367, 6975, 429, 102, 32229, 429, 59, 8083, 20483, 1392, 429, 97, 18257, 34, 429, 101, 2283, 12233, 81, 28310, 726, 81, 2027, 111, 429, 92, 358, 22823, 769, 452, 31, 1855, 446, 2016, 280, 2107, 9115, 6975, 370, 6470, 102, 370, 330, 17572, 370, 6470, 59, 370, 330, 3705, 20483, 1392, 370, 6470, 97, 370, 3298, 81, 426, 30, 6470, 101, 370, 3083, 1914, 81, 639, 81, 2468, 30, 6470, 92, 370, 330, 12425, 722, 370, 11363, 452, 31, 1855, 370, 10848, 81, 1855, 81, 639, 81, 2468, 79, 284, 1245, 32, 1338, 463, 9514, 2016, 44, 301, 85, 16805, 1643, 26, 85, 47, 2501, 490, 284, 1596, 44, 291, 1056, 280, 1420, 81, 2501, 26, 2501, 30, 5868, 81, 4215, 47, 36, 34, 27, 284, 2940, 5718, 924, 44, 291, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 291, 3124, 280, 330, 8309, 1597, 312, 3708, 3974, 45367, 6975, 2016, 44, 301, 85, 4104, 96, 109, 87, 16805, 1643, 26, 85, 1057, 5608, 2524, 26, 2501, 471, 484, 47, 466, 26, 327, 490, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 546, 21887, 30, 3124, 30, 8244, 446, 415, 629, 26, 1267, 710, 687, 3490, 863, 225, 34, 44, 291, 3124, 280, 330, 1318, 45367, 6975, 2016, 16500, 600, 1048, 623, 4323, 1340, 44, 301, 85, 835, 461, 1688, 3491, 96, 109, 97, 16805, 1643, 26, 324, 281, 47, 1267, 710, 687, 2188, 337, 47, 1267, 710, 2024, 3490, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 546, 21887, 26, 2076, 27, 284, 1245, 32, 1338, 463, 24724, 9577, 322, 1914, 4600, 436, 301, 86, 111, 372, 526, 44, 301, 91, 16805, 1643, 26, 291, 343, 47, 2929, 81, 426, 30, 595, 47, 23777, 81, 1855, 81, 639, 81, 2468, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4550, 26, 2076, 30, 319, 1132, 30, 1115, 4124, 711, 203, 588, 827, 44, 308, 466, 30, 319, 4277, 30, 1115, 4277, 27, 967, 596, 1524, 10945, 9073, 1963, 3089, 7787, 645, 312, 10191, 1963, 299, 8345, 32, 1524, 446, 3649, 438, 81, 8364, 446, 415, 2069, 26, 1132, 27, 556, 2069, 26, 4124, 711, 291, 3124, 280, 3124, 32, 1643, 2740, 1132, 30, 1115, 4124, 27, 446, 19494, 81, 18114, 280, 3228, 106, 35, 84, 77, 1736, 35, 95, 25, 415, 438, 81, 8364, 813, 4247, 284, 442, 316, 32, 1113, 26, 100, 20879, 4987, 86, 109, 35, 30, 36, 1748, 10154, 19494, 81, 18114, 30, 3124, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 281, 1216, 26, 2076, 30, 319, 1132, 30, 1115, 4124, 711, 203, 588, 827, 44, 308, 466, 30, 319, 4277, 30, 1115, 4277, 27, 967, 1665, 1524, 9194, 38644, 1474, 372, 12532, 32, 1524, 446, 415, 2069, 26, 1132, 27, 556, 2069, 26, 4124, 711, 291, 3124, 280, 3124, 32, 1643, 2740, 1132, 30, 1115, 4124, 27, 446, 1459, 26, 3972, 44805, 46, 34, 26820, 1643, 26, 2076, 2610, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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
[ 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3240, 81, 5486, 37, 2051, 81, 4867, 81, 8288, 26, 784, 711, 203, 1524, 4863, 322, 3109, 37, 2051, 7669, 1245, 803, 499, 601, 44, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 2714, 81, 5486, 37, 2051, 81, 4867, 81, 8288, 683, 584, 415, 630, 32, 5486, 37, 2051, 81, 4867, 81, 751, 81, 1515, 438, 1665, 44, 324, 1245, 32, 8447, 463, 8309, 438, 646, 2198, 69, 37, 4460, 7669, 1245, 3362, 544, 458, 2664, 683, 324, 442, 584, 1245, 32, 2811, 463, 47648, 436, 1245, 2276, 328, 3362, 44, 301, 86, 16805, 1643, 26, 86, 47, 784, 32, 5486, 37, 2051, 81, 4867, 81, 751, 81, 1515, 490, 291, 436, 1623, 328, 2322, 32, 26366, 26, 784, 32, 5486, 37, 2051, 81, 4867, 81, 751, 81, 1515, 711, 324, 1623, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 784, 32, 5486, 37, 2051, 81, 4867, 81, 751, 81, 1515, 30, 1623, 27, 324, 415, 2322, 32, 983, 32, 29712, 26, 1094, 81, 983, 711, 400, 1245, 32, 1338, 463, 28149, 4096, 623, 3109, 37, 2051, 7669, 1245, 803, 44, 301, 88, 16805, 1643, 26, 88, 47, 1094, 81, 983, 490, 400, 1596, 44, 528, 630, 32, 2714, 81, 878, 81, 761, 26, 878, 81, 761, 47, 1094, 81, 983, 27, 400, 2940, 308, 18082, 30, 546, 21887, 30, 15930, 39608, 924, 711, 528, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 528, 3124, 280, 8930, 96, 10696, 5802, 1597, 312, 3708, 11926, 2198, 69, 37, 4460, 7669, 1245, 803, 44, 301, 88, 4104, 96, 109, 87, 16805, 1643, 26, 715, 310, 47, 327, 3667, 823, 29215, 426, 7642, 296, 47, 1094, 81, 983, 30, 484, 47, 466, 26, 327, 490, 528, 3636, 15930, 39608, 924, 30, 3124, 30, 8244, 400, 813, 44, 528, 1245, 32, 1338, 463, 24724, 4618, 4096, 623, 803, 44, 301, 88, 16805, 1643, 26, 88, 47, 1094, 81, 983, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 9336, 81, 2895, 26, 2895, 711, 203, 1524, 1834, 8538, 3834, 7328, 436, 32444, 499, 753, 3882, 44, 308, 466, 27, 3882, 372, 9336, 499, 601, 44, 308, 466, 27, 11830, 3882, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 2895, 81, 13023, 683, 284, 1245, 32, 2811, 463, 7960, 3882, 44, 301, 98, 16805, 1643, 26, 98, 47, 2895, 490, 284, 11830, 81, 2895, 280, 4247, 284, 436, 281, 328, 3882, 44, 291, 11830, 81, 2895, 1454, 9336, 81, 10187, 26, 1594, 47, 85, 27, 284, 1245, 32, 2811, 463, 18060, 3882, 44, 301, 98, 16805, 1643, 26, 98, 47, 12596, 81, 2895, 490, 284, 442, 11830, 81, 2895, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 9336, 81, 10187, 26, 1594, 711, 203, 1524, 6970, 3834, 7328, 436, 312, 3982, 5341, 499, 753, 1351, 308, 466, 27, 12379, 5341, 372, 9336, 499, 3255, 308, 466, 27, 3834, 31, 12596, 5341, 1524, 446, 415, 1351, 610, 39458, 950, 442, 6611, 36, 35, 25, 284, 4348, 1351, 610, 6113, 950, 442, 6611, 36, 36, 25, 284, 4348, 1351, 610, 5307, 950, 442, 6611, 36, 37, 25, 284, 4348, 1351, 610, 8493, 950, 442, 6611, 36, 38, 25, 284, 4348, 1351, 610, 6611, 950, 442, 6611, 36, 39, 25, 284, 4348, 1351, 610, 15441, 950, 442, 6611, 36, 40, 25, 284, 4348, 1351, 610, 26271, 950, 442, 6611, 36, 41, 25, 284, 4348, 1351, 610, 330, 16487, 442, 6611, 36, 42, 25, 284, 4348, 1351, 610, 11134, 950, 442, 6611, 36, 43, 25, 284, 4348, 1351, 610, 13838, 950, 442, 6611, 36, 51, 25, 284, 4348, 1351, 610, 10699, 950, 442, 6611, 36, 52, 25, 284, 4348, 1351, 610, 5769, 950, 442, 6611, 36, 53, 25, 284, 4348, 1351, 610, 6470, 950, 442, 6611, 36, 54, 25, 284, 4348, 1351, 610, 5608, 950, 442, 6611, 36, 55, 25, 284, 4348, 1351, 610, 3056, 950, 442, 6611, 36, 56, 25, 284, 4348, 1351, 610, 14589, 950, 442, 6611, 37, 51, 25, 284, 4348, 1351, 610, 13044, 950, 442, 6611, 37, 52, 25, 284, 4348, 1351, 610, 4145, 950, 442, 6611, 37, 53, 25, 284, 4348, 1351, 610, 36510, 950, 442, 6611, 37, 54, 25, 284, 4348, 1351, 610, 32041, 950, 442, 6611, 37, 55, 25, 284, 4348, 1351, 610, 26652, 950, 442, 6611, 37, 56, 25, 284, 4348, 1351, 610, 3770, 950, 442, 6611, 38, 34, 25, 284, 4348, 1351, 610, 35075, 44, 442, 6611, 39, 52, 25, 284, 4348, 1351, 610, 17276, 950, 442, 6611, 39, 53, 25, 284, 4348, 1351, 610, 42503, 950, 442, 6611, 39, 54, 25, 284, 4348, 1351, 610, 25366, 950, 442, 6611, 39, 55, 25, 284, 4348, 1351, 610, 7610, 950, 442, 6611, 39, 56, 25, 284, 4348, 1351, 610, 45419, 950, 442, 6611, 40, 34, 25, 284, 4348, 1351, 610, 8930, 950, 442, 6611, 41, 52, 25, 284, 4348, 1351, 610, 36196, 950, 442, 6611, 41, 53, 25, 284, 4348, 1351, 610, 24973, 950, 442, 6611, 41, 54, 25, 284, 4348, 1351, 610, 28948, 950, 442, 6611, 41, 55, 25, 284, 4348, 1351, 610, 330, 14589, 442, 6611, 41, 56, 25, 284, 813, 44, 442, 1351, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3233, 81, 3963, 81, 302, 81, 9211, 26, 3963, 711, 203, 1524, 936, 3449, 5911, 619, 5436, 101, 8753, 372, 793, 619, 14088, 10375, 7103, 446, 588, 739, 5436, 101, 284, 6885, 280, 2149, 284, 26910, 280, 2149, 284, 15477, 280, 2149, 284, 26194, 548, 280, 2149, 284, 16400, 280, 2149, 284, 12821, 280, 2149, 284, 8735, 81, 2516, 280, 5436, 346, 284, 34027, 280, 31466, 26, 466, 27, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3240, 81, 5486, 37, 2051, 81, 4867, 81, 8288, 26, 784, 711, 203, 1524, 4863, 322, 3109, 37, 2051, 7669, 1245, 803, 499, 601, 44, 1524, 584, 1245, 280, 5741, 32, 10579, 26, 784, 32, 6933, 81, 4073, 474, 5608, 2714, 81, 5486, 37, 2051, 81, 4867, 81, 8288, 683, 584, 415, 630, 32, 5486, 37, 2051, 81, 4867, 81, 751, 81, 1515, 438, 1665, 44, 324, 1245, 32, 8447, 463, 8309, 438, 646, 2198, 69, 37, 4460, 7669, 1245, 3362, 544, 458, 2664, 683, 324, 442, 584, 1245, 32, 2811, 463, 47648, 436, 1245, 2276, 328, 3362, 44, 301, 86, 16805, 1643, 26, 86, 47, 784, 32, 5486, 37, 2051, 81, 4867, 81, 751, 81, 1515, 490, 291, 436, 1623, 328, 2322, 32, 26366, 26, 784, 32, 5486, 37, 2051, 81, 4867, 81, 751, 81, 1515, 711, 324, 1623, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 784, 32, 5486, 37, 2051, 81, 4867, 81, 751, 81, 1515, 30, 1623, 27, 324, 415, 2322, 32, 983, 32, 29712, 26, 1094, 81, 983, 711, 400, 1245, 32, 1338, 463, 28149, 4096, 623, 3109, 37, 2051, 7669, 1245, 803, 44, 301, 88, 16805, 1643, 26, 88, 47, 1094, 81, 983, 490, 400, 1596, 44, 528, 630, 32, 2714, 81, 878, 81, 761, 26, 878, 81, 761, 47, 1094, 81, 983, 27, 400, 2940, 308, 18082, 30, 546, 21887, 30, 15930, 39608, 924, 711, 528, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 528, 3124, 280, 8930, 96, 10696, 5802, 1597, 312, 3708, 11926, 2198, 69, 37, 4460, 7669, 1245, 803, 44, 301, 88, 4104, 96, 109, 87, 16805, 1643, 26, 715, 310, 47, 327, 3667, 823, 29215, 426, 7642, 296, 47, 1094, 81, 983, 30, 484, 47, 466, 26, 327, 490, 528, 3636, 15930, 39608, 924, 30, 3124, 30, 8244, 400, 813, 44, 528, 1245, 32, 1338, 463, 24724, 4618, 4096, 623, 803, 44, 301, 88, 16805, 1643, 26, 88, 47, 1094, 81, 983, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 9336, 81, 2895, 26, 2895, 711, 203, 1524, 1834, 8538, 3834, 7328, 436, 32444, 499, 753, 3882, 44, 308, 466, 27, 3882, 372, 9336, 499, 601, 44, 308, 466, 27, 11830, 3882, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 2895, 81, 13023, 683, 284, 1245, 32, 2811, 463, 7960, 3882, 44, 301, 98, 16805, 1643, 26, 98, 47, 2895, 490, 284, 11830, 81, 2895, 280, 4247, 284, 436, 281, 328, 3882, 44, 291, 11830, 81, 2895, 1454, 9336, 81, 10187, 26, 1594, 47, 85, 27, 284, 1245, 32, 2811, 463, 18060, 3882, 44, 301, 98, 16805, 1643, 26, 98, 47, 12596, 81, 2895, 490, 284, 442, 11830, 81, 2895, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 9336, 81, 10187, 26, 1594, 711, 203, 1524, 6970, 3834, 7328, 436, 312, 3982, 5341, 499, 753, 1351, 308, 466, 27, 12379, 5341, 372, 9336, 499, 3255, 308, 466, 27, 3834, 31, 12596, 5341, 1524, 446, 415, 1351, 610, 39458, 950, 442, 6611, 36, 35, 25, 284, 4348, 1351, 610, 6113, 950, 442, 6611, 36, 36, 25, 284, 4348, 1351, 610, 5307, 950, 442, 6611, 36, 37, 25, 284, 4348, 1351, 610, 8493, 950, 442, 6611, 36, 38, 25, 284, 4348, 1351, 610, 6611, 950, 442, 6611, 36, 39, 25, 284, 4348, 1351, 610, 15441, 950, 442, 6611, 36, 40, 25, 284, 4348, 1351, 610, 26271, 950, 442, 6611, 36, 41, 25, 284, 4348, 1351, 610, 330, 16487, 442, 6611, 36, 42, 25, 284, 4348, 1351, 610, 11134, 950, 442, 6611, 36, 43, 25, 284, 4348, 1351, 610, 13838, 950, 442, 6611, 36, 51, 25, 284, 4348, 1351, 610, 10699, 950, 442, 6611, 36, 52, 25, 284, 4348, 1351, 610, 5769, 950, 442, 6611, 36, 53, 25, 284, 4348, 1351, 610, 6470, 950, 442, 6611, 36, 54, 25, 284, 4348, 1351, 610, 5608, 950, 442, 6611, 36, 55, 25, 284, 4348, 1351, 610, 3056, 950, 442, 6611, 36, 56, 25, 284, 4348, 1351, 610, 14589, 950, 442, 6611, 37, 51, 25, 284, 4348, 1351, 610, 13044, 950, 442, 6611, 37, 52, 25, 284, 4348, 1351, 610, 4145, 950, 442, 6611, 37, 53, 25, 284, 4348, 1351, 610, 36510, 950, 442, 6611, 37, 54, 25, 284, 4348, 1351, 610, 32041, 950, 442, 6611, 37, 55, 25, 284, 4348, 1351, 610, 26652, 950, 442, 6611, 37, 56, 25, 284, 4348, 1351, 610, 3770, 950, 442, 6611, 38, 34, 25, 284, 4348, 1351, 610, 35075, 44, 442, 6611, 39, 52, 25, 284, 4348, 1351, 610, 17276, 950, 442, 6611, 39, 53, 25, 284, 4348, 1351, 610, 42503, 950, 442, 6611, 39, 54, 25, 284, 4348, 1351, 610, 25366, 950, 442, 6611, 39, 55, 25, 284, 4348, 1351, 610, 7610, 950, 442, 6611, 39, 56, 25, 284, 4348, 1351, 610, 45419, 950, 442, 6611, 40, 34, 25, 284, 4348, 1351, 610, 8930, 950, 442, 6611, 41, 52, 25, 284, 4348, 1351, 610, 36196, 950, 442, 6611, 41, 53, 25, 284, 4348, 1351, 610, 24973, 950, 442, 6611, 41, 54, 25, 284, 4348, 1351, 610, 28948, 950, 442, 6611, 41, 55, 25, 284, 4348, 1351, 610, 330, 14589, 442, 6611, 41, 56, 25, 284, 813, 44, 442, 1351, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3233, 81, 3963, 81, 302, 81, 9211, 26, 3963, 711, 203, 1524, 936, 3449, 5911, 619, 5436, 101, 8753, 372, 793, 619, 14088, 10375, 7103, 446, 588, 739, 5436, 101, 284, 6885, 280, 2149, 284, 26910, 280, 2149, 284, 15477, 280, 2149, 284, 26194, 548, 280, 2149, 284, 16400, 280, 2149, 284, 12821, 280, 2149, 284, 8735, 81, 2516, 280, 5436, 346, 284, 34027, 280, 31466, 26, 466, 27, 284 ]
[ 309, 3666, 280, 2149, 284, 15649, 280, 2149, 284, 588, 225, 34, 33, 35, 2078, 284, 4953, 280, 225, 34, 284, 827, 81, 5613, 280, 225, 34, 284, 588, 11708, 5911, 284, 1459, 26, 1657, 26, 3963, 32, 3494, 5156, 284, 595, 280, 225, 34, 284, 436, 2604, 328, 8594, 26, 3963, 32, 3494, 22805, 291, 595, 1454, 225, 35, 291, 588, 6885, 291, 415, 2604, 32, 15990, 440, 1141, 10280, 324, 6885, 77, 3963, 32, 371, 26, 2142, 30, 2604, 2177, 280, 2604, 324, 4036, 291, 588, 4953, 1236, 11927, 613, 291, 4348, 2604, 32, 15990, 440, 468, 599, 543, 10280, 324, 4953, 280, 225, 35, 324, 4036, 291, 588, 26910, 291, 4348, 2604, 32, 15990, 440, 5546, 10280, 324, 26910, 77, 3963, 32, 371, 26, 2142, 2177, 280, 2604, 324, 4036, 291, 588, 15477, 291, 4348, 2604, 32, 15990, 440, 1643, 10280, 324, 15477, 77, 3963, 32, 371, 26, 2142, 2177, 280, 2604, 324, 4036, 291, 588, 1236, 11927, 613, 29578, 291, 4348, 2604, 32, 15990, 440, 7317, 44, 44633, 548, 10280, 324, 26194, 548, 77, 3963, 32, 371, 26, 2142, 2177, 280, 2604, 324, 4036, 291, 588, 16400, 291, 4348, 2604, 32, 15990, 440, 7317, 44, 9328, 8512, 10280, 324, 16400, 77, 3963, 32, 371, 26, 2142, 2177, 280, 2604, 324, 4036, 291, 588, 12821, 291, 4348, 2604, 32, 15990, 440, 2077, 10280, 324, 12821, 77, 3963, 32, 371, 26, 2142, 2177, 280, 2604, 324, 4036, 291, 588, 34027, 291, 4348, 2604, 32, 15990, 440, 5632, 10280, 324, 34027, 77, 3963, 32, 371, 26, 2142, 2177, 280, 2604, 324, 4036, 291, 588, 358, 10171, 291, 4348, 2604, 32, 15990, 440, 20603, 31, 2946, 10280, 324, 309, 3666, 77, 3963, 32, 371, 26, 2142, 2177, 280, 2604, 324, 4036, 291, 588, 3738, 291, 4348, 2604, 32, 15990, 440, 681, 10280, 324, 8735, 81, 2516, 77, 3963, 32, 371, 26, 2142, 2177, 280, 2604, 324, 415, 2604, 328, 2884, 681, 44, 2402, 31, 5613, 392, 313, 681, 44, 24181, 31, 5613, 10280, 400, 827, 81, 5613, 1454, 225, 35, 324, 813, 44, 400, 3097, 324, 4036, 291, 588, 10302, 5911, 291, 813, 44, 324, 15649, 77, 3963, 32, 371, 26, 2142, 2177, 280, 2604, 324, 4036, 446, 588, 2684, 2330, 5911, 372, 2608, 1169, 15500, 2761, 429, 2318, 588, 284, 415, 827, 81, 5613, 610, 225, 36, 44, 291, 8735, 81, 2516, 1365, 15494, 9890, 87, 1446, 280, 313, 681, 44, 5613, 20, 284, 813, 44, 291, 3097, 284, 588, 23582, 284, 588, 1459, 440, 8309, 884, 1924, 284, 588, 958, 2706, 96, 2537, 6885, 20, 284, 588, 958, 2706, 96, 2537, 26910, 20, 284, 588, 958, 2706, 96, 2537, 15477, 20, 284, 588, 958, 2706, 96, 2537, 1236, 11927, 613, 29578, 20, 284, 588, 958, 2706, 96, 2537, 16400, 20, 284, 588, 958, 2706, 96, 2537, 12821, 20, 284, 588, 958, 2706, 96, 2537, 34027, 20, 284, 588, 958, 2706, 96, 2537, 358, 10171, 20, 284, 588, 958, 2706, 96, 2537, 3738, 20, 284, 588, 958, 2706, 96, 2537, 15649, 2296, 1643, 26, 1657, 26, 3543, 471, 284, 588, 9316, 2069, 26, 19119, 471, 284, 588, 9316, 2069, 26, 17213, 471, 284, 588, 9316, 2069, 26, 44633, 548, 471, 284, 588, 9316, 2069, 26, 7255, 471, 284, 588, 9316, 2069, 26, 4188, 471, 284, 588, 9316, 2069, 26, 36042, 471, 284, 588, 9316, 2069, 26, 44605, 471, 284, 588, 9316, 2069, 26, 954, 81, 2516, 471, 284, 588, 9316, 2069, 26, 12085, 27, 284, 588, 9316, 9658, 284, 588, 21544, 5436, 101, 284, 5911, 81, 12881, 280, 301, 291, 313, 3543, 563, 6885, 30, 291, 313, 35271, 563, 4953, 30, 291, 313, 19119, 563, 26910, 30, 291, 313, 17213, 563, 15477, 30, 291, 313, 44633, 548, 563, 26194, 548, 30, 291, 313, 7255, 563, 16400, 30, 291, 313, 4188, 563, 12821, 30, 291, 313, 36042, 563, 34027, 30, 291, 313, 44605, 563, 309, 3666, 30, 291, 313, 2516, 563, 8735, 81, 2516, 30, 291, 313, 12085, 563, 15649, 30, 284, 320, 446, 588, 1411, 22206, 284, 442, 5911, 81, 12881, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 15002, 3399, 81, 17915, 26, 2592, 30, 22519, 47, 35, 34, 34, 711, 203, 1524, 2762, 372, 622, 22519, 436, 23310, 3399, 7103, 446, 932, 81, 887, 280, 2065, 32, 887, 26, 2592, 27, 284, 932, 81, 1449, 280, 2065, 32, 1449, 26, 2592, 27, 284, 442, 2155, 26, 748, 81, 887, 30, 932, 81, 1449, 474, 225, 36, 30, 1769, 1162, 748, 81, 1449, 429, 932, 81, 887, 27, 434, 22519, 30, 225, 35, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1778, 26, 1357, 30, 706, 711, 203, 1524, 32443, 5204, 1566, 1778, 4122, 544, 5403, 706, 32, 15809, 44, 706, 429, 2398, 1510, 1395, 526, 1654, 436, 17335, 600, 5204, 1566, 32, 1348, 706, 1098, 526, 1654, 328, 2532, 372, 1487, 312, 19272, 1510, 438, 1654, 436, 17335, 322, 5204, 1566, 32, 1670, 322, 706, 5403, 438, 312, 9960, 19272, 3425, 30, 322, 19272, 1098, 526, 1654, 619, 31, 297, 32, 3759, 44, 17492, 1566, 1778, 328, 5081, 2179, 32, 1524, 4057, 588, 1390, 1778, 1861, 30, 2384, 30, 3714, 30, 461, 2179, 645, 6272, 3377, 30, 556, 284, 588, 16843, 31, 975, 372, 1244, 2078, 645, 4070, 32, 284, 1596, 44, 291, 1861, 280, 629, 26, 1357, 32, 2788, 32, 371, 440, 105, 392, 19430, 54, 1438, 18576, 81, 10573, 490, 284, 2940, 10091, 44, 291, 3636, 358, 352, 8328, 2406, 3774, 440, 9594, 1566, 1861, 2298, 526, 312, 11557, 4991, 7144, 284, 1596, 44, 291, 2384, 280, 629, 26, 1357, 32, 2788, 32, 371, 440, 90, 392, 19430, 54, 1438, 18576, 81, 15000, 490, 284, 2940, 10091, 44, 291, 3636, 358, 352, 8328, 2406, 3774, 440, 9594, 1566, 2384, 2298, 526, 312, 11557, 4991, 7144, 284, 1688, 81, 1643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 309, 3666, 280, 2149, 284, 15649, 280, 2149, 284, 588, 225, 34, 33, 35, 2078, 284, 4953, 280, 225, 34, 284, 827, 81, 5613, 280, 225, 34, 284, 588, 11708, 5911, 284, 1459, 26, 1657, 26, 3963, 32, 3494, 5156, 284, 595, 280, 225, 34, 284, 436, 2604, 328, 8594, 26, 3963, 32, 3494, 22805, 291, 595, 1454, 225, 35, 291, 588, 6885, 291, 415, 2604, 32, 15990, 440, 1141, 10280, 324, 6885, 77, 3963, 32, 371, 26, 2142, 30, 2604, 2177, 280, 2604, 324, 4036, 291, 588, 4953, 1236, 11927, 613, 291, 4348, 2604, 32, 15990, 440, 468, 599, 543, 10280, 324, 4953, 280, 225, 35, 324, 4036, 291, 588, 26910, 291, 4348, 2604, 32, 15990, 440, 5546, 10280, 324, 26910, 77, 3963, 32, 371, 26, 2142, 2177, 280, 2604, 324, 4036, 291, 588, 15477, 291, 4348, 2604, 32, 15990, 440, 1643, 10280, 324, 15477, 77, 3963, 32, 371, 26, 2142, 2177, 280, 2604, 324, 4036, 291, 588, 1236, 11927, 613, 29578, 291, 4348, 2604, 32, 15990, 440, 7317, 44, 44633, 548, 10280, 324, 26194, 548, 77, 3963, 32, 371, 26, 2142, 2177, 280, 2604, 324, 4036, 291, 588, 16400, 291, 4348, 2604, 32, 15990, 440, 7317, 44, 9328, 8512, 10280, 324, 16400, 77, 3963, 32, 371, 26, 2142, 2177, 280, 2604, 324, 4036, 291, 588, 12821, 291, 4348, 2604, 32, 15990, 440, 2077, 10280, 324, 12821, 77, 3963, 32, 371, 26, 2142, 2177, 280, 2604, 324, 4036, 291, 588, 34027, 291, 4348, 2604, 32, 15990, 440, 5632, 10280, 324, 34027, 77, 3963, 32, 371, 26, 2142, 2177, 280, 2604, 324, 4036, 291, 588, 358, 10171, 291, 4348, 2604, 32, 15990, 440, 20603, 31, 2946, 10280, 324, 309, 3666, 77, 3963, 32, 371, 26, 2142, 2177, 280, 2604, 324, 4036, 291, 588, 3738, 291, 4348, 2604, 32, 15990, 440, 681, 10280, 324, 8735, 81, 2516, 77, 3963, 32, 371, 26, 2142, 2177, 280, 2604, 324, 415, 2604, 328, 2884, 681, 44, 2402, 31, 5613, 392, 313, 681, 44, 24181, 31, 5613, 10280, 400, 827, 81, 5613, 1454, 225, 35, 324, 813, 44, 400, 3097, 324, 4036, 291, 588, 10302, 5911, 291, 813, 44, 324, 15649, 77, 3963, 32, 371, 26, 2142, 2177, 280, 2604, 324, 4036, 446, 588, 2684, 2330, 5911, 372, 2608, 1169, 15500, 2761, 429, 2318, 588, 284, 415, 827, 81, 5613, 610, 225, 36, 44, 291, 8735, 81, 2516, 1365, 15494, 9890, 87, 1446, 280, 313, 681, 44, 5613, 20, 284, 813, 44, 291, 3097, 284, 588, 23582, 284, 588, 1459, 440, 8309, 884, 1924, 284, 588, 958, 2706, 96, 2537, 6885, 20, 284, 588, 958, 2706, 96, 2537, 26910, 20, 284, 588, 958, 2706, 96, 2537, 15477, 20, 284, 588, 958, 2706, 96, 2537, 1236, 11927, 613, 29578, 20, 284, 588, 958, 2706, 96, 2537, 16400, 20, 284, 588, 958, 2706, 96, 2537, 12821, 20, 284, 588, 958, 2706, 96, 2537, 34027, 20, 284, 588, 958, 2706, 96, 2537, 358, 10171, 20, 284, 588, 958, 2706, 96, 2537, 3738, 20, 284, 588, 958, 2706, 96, 2537, 15649, 2296, 1643, 26, 1657, 26, 3543, 471, 284, 588, 9316, 2069, 26, 19119, 471, 284, 588, 9316, 2069, 26, 17213, 471, 284, 588, 9316, 2069, 26, 44633, 548, 471, 284, 588, 9316, 2069, 26, 7255, 471, 284, 588, 9316, 2069, 26, 4188, 471, 284, 588, 9316, 2069, 26, 36042, 471, 284, 588, 9316, 2069, 26, 44605, 471, 284, 588, 9316, 2069, 26, 954, 81, 2516, 471, 284, 588, 9316, 2069, 26, 12085, 27, 284, 588, 9316, 9658, 284, 588, 21544, 5436, 101, 284, 5911, 81, 12881, 280, 301, 291, 313, 3543, 563, 6885, 30, 291, 313, 35271, 563, 4953, 30, 291, 313, 19119, 563, 26910, 30, 291, 313, 17213, 563, 15477, 30, 291, 313, 44633, 548, 563, 26194, 548, 30, 291, 313, 7255, 563, 16400, 30, 291, 313, 4188, 563, 12821, 30, 291, 313, 36042, 563, 34027, 30, 291, 313, 44605, 563, 309, 3666, 30, 291, 313, 2516, 563, 8735, 81, 2516, 30, 291, 313, 12085, 563, 15649, 30, 284, 320, 446, 588, 1411, 22206, 284, 442, 5911, 81, 12881, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 15002, 3399, 81, 17915, 26, 2592, 30, 22519, 47, 35, 34, 34, 711, 203, 1524, 2762, 372, 622, 22519, 436, 23310, 3399, 7103, 446, 932, 81, 887, 280, 2065, 32, 887, 26, 2592, 27, 284, 932, 81, 1449, 280, 2065, 32, 1449, 26, 2592, 27, 284, 442, 2155, 26, 748, 81, 887, 30, 932, 81, 1449, 474, 225, 36, 30, 1769, 1162, 748, 81, 1449, 429, 932, 81, 887, 27, 434, 22519, 30, 225, 35, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1778, 26, 1357, 30, 706, 711, 203, 1524, 32443, 5204, 1566, 1778, 4122, 544, 5403, 706, 32, 15809, 44, 706, 429, 2398, 1510, 1395, 526, 1654, 436, 17335, 600, 5204, 1566, 32, 1348, 706, 1098, 526, 1654, 328, 2532, 372, 1487, 312, 19272, 1510, 438, 1654, 436, 17335, 322, 5204, 1566, 32, 1670, 322, 706, 5403, 438, 312, 9960, 19272, 3425, 30, 322, 19272, 1098, 526, 1654, 619, 31, 297, 32, 3759, 44, 17492, 1566, 1778, 328, 5081, 2179, 32, 1524, 4057, 588, 1390, 1778, 1861, 30, 2384, 30, 3714, 30, 461, 2179, 645, 6272, 3377, 30, 556, 284, 588, 16843, 31, 975, 372, 1244, 2078, 645, 4070, 32, 284, 1596, 44, 291, 1861, 280, 629, 26, 1357, 32, 2788, 32, 371, 440, 105, 392, 19430, 54, 1438, 18576, 81, 10573, 490, 284, 2940, 10091, 44, 291, 3636, 358, 352, 8328, 2406, 3774, 440, 9594, 1566, 1861, 2298, 526, 312, 11557, 4991, 7144, 284, 1596, 44, 291, 2384, 280, 629, 26, 1357, 32, 2788, 32, 371, 440, 90, 392, 19430, 54, 1438, 18576, 81, 15000, 490, 284, 2940, 10091, 44, 291, 3636, 358, 352, 8328, 2406, 3774, 440, 9594, 1566, 2384, 2298, 526, 312, 11557, 4991, 7144, 284, 1688, 81, 1643 ]
[ 280, 1326, 32, 2788, 32, 371, 440, 88, 392, 19430, 54, 1438, 18576, 81, 9302, 27, 284, 1596, 44, 291, 3714, 280, 428, 410, 26, 98, 27, 436, 298, 328, 1326, 32, 2788, 1365, 98, 6494, 2998, 10788, 3830, 284, 2940, 25085, 44, 291, 3714, 280, 19430, 54, 1438, 18576, 81, 66, 21325, 284, 2940, 10091, 44, 291, 3636, 358, 352, 8328, 2406, 3774, 440, 9594, 1566, 3714, 2298, 44198, 963, 432, 225, 38, 11557, 18670, 18604, 623, 47078, 7144, 284, 415, 313, 91, 20, 328, 1326, 32, 2788, 44, 291, 37592, 280, 1326, 32, 2788, 32, 371, 440, 91, 657, 291, 415, 37592, 32, 5729, 346, 610, 313, 1508, 563, 324, 37592, 280, 2933, 291, 4348, 37592, 32, 5729, 346, 610, 313, 1870, 563, 324, 37592, 280, 3177, 291, 813, 44, 324, 3636, 358, 352, 8328, 2406, 3774, 440, 383, 1648, 3395, 2298, 526, 312, 1905, 308, 1508, 33, 1870, 547, 657, 284, 813, 44, 291, 37592, 280, 19430, 54, 1438, 18576, 81, 521, 11836, 446, 588, 12888, 322, 1509, 3377, 32, 284, 415, 646, 6937, 26, 1644, 30, 629, 27, 556, 1861, 2511, 225, 34, 44, 291, 3636, 358, 352, 8328, 2406, 3774, 440, 9594, 1566, 1861, 2298, 526, 312, 11557, 4991, 7144, 284, 415, 646, 6937, 26, 2273, 30, 629, 27, 556, 2384, 2511, 225, 34, 44, 291, 3636, 358, 352, 8328, 2406, 3774, 440, 9594, 1566, 2384, 2298, 526, 312, 11557, 4991, 7144, 284, 415, 646, 1169, 2009, 38003, 26, 98, 30, 629, 27, 461, 298, 2377, 225, 34, 436, 298, 328, 3714, 1130, 556, 2069, 26, 5281, 27, 863, 225, 38, 44, 291, 3636, 358, 352, 8328, 2406, 3774, 440, 10345, 2298, 526, 312, 225, 38, 31, 2543, 8825, 39675, 963, 432, 11557, 18670, 7144, 446, 588, 1756, 31, 417, 3809, 1795, 827, 4122, 544, 8843, 5204, 1566, 2179, 32, 284, 415, 1688, 81, 1643, 610, 313, 1645, 563, 291, 1795, 81, 681, 280, 313, 893, 33, 1645, 20, 284, 4348, 1688, 81, 1643, 610, 313, 14510, 563, 291, 1795, 81, 681, 280, 313, 878, 33, 7355, 20, 284, 813, 44, 291, 3636, 358, 352, 8328, 2406, 3774, 440, 16746, 5204, 1566, 2179, 8843, 429, 6611, 101, 25, 904, 1688, 81, 1643, 657, 446, 588, 5768, 1125, 312, 9750, 32, 284, 9750, 280, 15386, 26, 5177, 54, 1438, 18576, 81, 29756, 30, 19430, 54, 1438, 18576, 81, 39991, 30, 3775, 30027, 280, 19430, 54, 1438, 18576, 81, 1362, 4733, 23707, 30, 3208, 280, 19430, 54, 1438, 18576, 81, 40581, 30, 3775, 19272, 280, 19430, 54, 1438, 18576, 81, 18953, 4128, 27, 446, 588, 10945, 322, 804, 2860, 285, 32, 284, 1795, 280, 9750, 32, 5536, 26, 605, 30, 1861, 30, 2384, 30, 3714, 47, 5281, 30, 1688, 81, 1643, 47, 2024, 81, 1643, 30, 37592, 47, 47910, 27, 446, 588, 2648, 461, 442, 322, 1789, 32, 284, 1789, 280, 17874, 26, 1286, 30, 1795, 81, 681, 47, 1286, 81, 681, 27, 446, 442, 1789, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 16144, 26, 426, 711, 203, 588, 827, 44, 308, 466, 27, 967, 1665, 1524, 31588, 322, 5927, 18909, 14309, 3299, 312, 537, 636, 32, 1524, 446, 645, 298, 13166, 774, 32, 7615, 32, 2912, 1867, 1188, 8130, 446, 415, 636, 438, 1665, 44, 291, 636, 280, 5021, 32, 13232, 463, 14043, 3299, 636, 683, 446, 8130, 32, 8079, 3299, 32, 13141, 26, 426, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 26, 784, 30, 636, 30, 319, 1536, 711, 203, 588, 827, 44, 308, 466, 30, 6204, 27, 967, 6204, 1524, 1390, 1619, 786, 623, 322, 2702, 636, 461, 5302, 1244, 32, 10460, 44, 636, 308, 466, 711, 203, 886, 636, 432, 322, 1619, 786, 32, 319, 1536, 308, 4277, 711, 203, 1670, 2702, 461, 322, 1202, 4163, 1330, 646, 2307, 30, 458, 1098, 526, 4717, 4174, 32, 1670, 561, 1182, 646, 2702, 461, 322, 1619, 786, 1957, 646, 2307, 30, 529, 2212, 924, 82, 1098, 526, 19565, 3759, 44, 886, 8843, 1619, 786, 32, 1670, 322, 786, 1957, 646, 2307, 561, 1098, 442, 529, 1536, 82, 415, 7624, 556, 3636, 529, 2212, 924, 2541, 34904, 44, 29316, 44, 1670, 322, 786, 1957, 646, 2307, 461, 529, 1536, 82, 1597, 646, 2702, 32, 1524, 6925, 9985, 280, 630, 32, 2810, 291, 436, 1742, 328, 636, 32, 2998, 3949, 7831, 324, 415, 1742, 328, 9985, 44, 400, 9985, 280, 9985, 77, 2050, 79, 324, 4348, 1244, 44, 400, 442, 1244, 77, 34, 79, 324, 813, 44, 400, 4550, 280, 313, 1222, 786, 30267, 1957, 646, 2307, 3491, 96, 2537, 20, 400, 3636, 29316, 26, 3972, 32, 1643, 26, 528, 636, 30, 4527, 32, 6045, 81, 5937, 26, 784, 32, 2810, 27, 400, 9658, 584, 442, 9985, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 739, 26, 784, 30, 636, 30, 786, 711, 203, 1524, 1756, 1619, 786, 32, 10460, 44, 636, 308, 466, 711, 203, 886, 636, 432, 322, 1619, 786, 372, 1539, 32, 786, 308, 4277, 711, 203, 886, 537, 786, 436, 322, 4324, 1619, 786, 1524, 584, 9985, 280, 630, 32, 2810, 291, 8710, 280, 636, 32, 2998, 36909, 584, 436, 595, 30, 1742, 328, 10703, 26, 10031, 20129, 35, 10794, 324, 1596, 44, 400, 9985, 280, 9985, 32, 37329, 26, 2050, 30, 12797, 324, 2940, 29316, 44, 400, 3636, 8073, 1215, 3949, 2473, 2524, 26, 10031, 2867, 91, 474, 225, 35, 5259, 584, 1596, 44, 324, 9985, 77, 10031, 6448, 35, 3212, 280, 786, 291, 2940, 12678, 44, 324, 3636, 8073, 1215, 3949, 2473, 2524, 26, 10031, 20129, 35, 5259, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8813, 81, 4658 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 280, 1326, 32, 2788, 32, 371, 440, 88, 392, 19430, 54, 1438, 18576, 81, 9302, 27, 284, 1596, 44, 291, 3714, 280, 428, 410, 26, 98, 27, 436, 298, 328, 1326, 32, 2788, 1365, 98, 6494, 2998, 10788, 3830, 284, 2940, 25085, 44, 291, 3714, 280, 19430, 54, 1438, 18576, 81, 66, 21325, 284, 2940, 10091, 44, 291, 3636, 358, 352, 8328, 2406, 3774, 440, 9594, 1566, 3714, 2298, 44198, 963, 432, 225, 38, 11557, 18670, 18604, 623, 47078, 7144, 284, 415, 313, 91, 20, 328, 1326, 32, 2788, 44, 291, 37592, 280, 1326, 32, 2788, 32, 371, 440, 91, 657, 291, 415, 37592, 32, 5729, 346, 610, 313, 1508, 563, 324, 37592, 280, 2933, 291, 4348, 37592, 32, 5729, 346, 610, 313, 1870, 563, 324, 37592, 280, 3177, 291, 813, 44, 324, 3636, 358, 352, 8328, 2406, 3774, 440, 383, 1648, 3395, 2298, 526, 312, 1905, 308, 1508, 33, 1870, 547, 657, 284, 813, 44, 291, 37592, 280, 19430, 54, 1438, 18576, 81, 521, 11836, 446, 588, 12888, 322, 1509, 3377, 32, 284, 415, 646, 6937, 26, 1644, 30, 629, 27, 556, 1861, 2511, 225, 34, 44, 291, 3636, 358, 352, 8328, 2406, 3774, 440, 9594, 1566, 1861, 2298, 526, 312, 11557, 4991, 7144, 284, 415, 646, 6937, 26, 2273, 30, 629, 27, 556, 2384, 2511, 225, 34, 44, 291, 3636, 358, 352, 8328, 2406, 3774, 440, 9594, 1566, 2384, 2298, 526, 312, 11557, 4991, 7144, 284, 415, 646, 1169, 2009, 38003, 26, 98, 30, 629, 27, 461, 298, 2377, 225, 34, 436, 298, 328, 3714, 1130, 556, 2069, 26, 5281, 27, 863, 225, 38, 44, 291, 3636, 358, 352, 8328, 2406, 3774, 440, 10345, 2298, 526, 312, 225, 38, 31, 2543, 8825, 39675, 963, 432, 11557, 18670, 7144, 446, 588, 1756, 31, 417, 3809, 1795, 827, 4122, 544, 8843, 5204, 1566, 2179, 32, 284, 415, 1688, 81, 1643, 610, 313, 1645, 563, 291, 1795, 81, 681, 280, 313, 893, 33, 1645, 20, 284, 4348, 1688, 81, 1643, 610, 313, 14510, 563, 291, 1795, 81, 681, 280, 313, 878, 33, 7355, 20, 284, 813, 44, 291, 3636, 358, 352, 8328, 2406, 3774, 440, 16746, 5204, 1566, 2179, 8843, 429, 6611, 101, 25, 904, 1688, 81, 1643, 657, 446, 588, 5768, 1125, 312, 9750, 32, 284, 9750, 280, 15386, 26, 5177, 54, 1438, 18576, 81, 29756, 30, 19430, 54, 1438, 18576, 81, 39991, 30, 3775, 30027, 280, 19430, 54, 1438, 18576, 81, 1362, 4733, 23707, 30, 3208, 280, 19430, 54, 1438, 18576, 81, 40581, 30, 3775, 19272, 280, 19430, 54, 1438, 18576, 81, 18953, 4128, 27, 446, 588, 10945, 322, 804, 2860, 285, 32, 284, 1795, 280, 9750, 32, 5536, 26, 605, 30, 1861, 30, 2384, 30, 3714, 47, 5281, 30, 1688, 81, 1643, 47, 2024, 81, 1643, 30, 37592, 47, 47910, 27, 446, 588, 2648, 461, 442, 322, 1789, 32, 284, 1789, 280, 17874, 26, 1286, 30, 1795, 81, 681, 47, 1286, 81, 681, 27, 446, 442, 1789, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 16144, 26, 426, 711, 203, 588, 827, 44, 308, 466, 27, 967, 1665, 1524, 31588, 322, 5927, 18909, 14309, 3299, 312, 537, 636, 32, 1524, 446, 645, 298, 13166, 774, 32, 7615, 32, 2912, 1867, 1188, 8130, 446, 415, 636, 438, 1665, 44, 291, 636, 280, 5021, 32, 13232, 463, 14043, 3299, 636, 683, 446, 8130, 32, 8079, 3299, 32, 13141, 26, 426, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 26, 784, 30, 636, 30, 319, 1536, 711, 203, 588, 827, 44, 308, 466, 30, 6204, 27, 967, 6204, 1524, 1390, 1619, 786, 623, 322, 2702, 636, 461, 5302, 1244, 32, 10460, 44, 636, 308, 466, 711, 203, 886, 636, 432, 322, 1619, 786, 32, 319, 1536, 308, 4277, 711, 203, 1670, 2702, 461, 322, 1202, 4163, 1330, 646, 2307, 30, 458, 1098, 526, 4717, 4174, 32, 1670, 561, 1182, 646, 2702, 461, 322, 1619, 786, 1957, 646, 2307, 30, 529, 2212, 924, 82, 1098, 526, 19565, 3759, 44, 886, 8843, 1619, 786, 32, 1670, 322, 786, 1957, 646, 2307, 561, 1098, 442, 529, 1536, 82, 415, 7624, 556, 3636, 529, 2212, 924, 2541, 34904, 44, 29316, 44, 1670, 322, 786, 1957, 646, 2307, 461, 529, 1536, 82, 1597, 646, 2702, 32, 1524, 6925, 9985, 280, 630, 32, 2810, 291, 436, 1742, 328, 636, 32, 2998, 3949, 7831, 324, 415, 1742, 328, 9985, 44, 400, 9985, 280, 9985, 77, 2050, 79, 324, 4348, 1244, 44, 400, 442, 1244, 77, 34, 79, 324, 813, 44, 400, 4550, 280, 313, 1222, 786, 30267, 1957, 646, 2307, 3491, 96, 2537, 20, 400, 3636, 29316, 26, 3972, 32, 1643, 26, 528, 636, 30, 4527, 32, 6045, 81, 5937, 26, 784, 32, 2810, 27, 400, 9658, 584, 442, 9985, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 739, 26, 784, 30, 636, 30, 786, 711, 203, 1524, 1756, 1619, 786, 32, 10460, 44, 636, 308, 466, 711, 203, 886, 636, 432, 322, 1619, 786, 372, 1539, 32, 786, 308, 4277, 711, 203, 886, 537, 786, 436, 322, 4324, 1619, 786, 1524, 584, 9985, 280, 630, 32, 2810, 291, 8710, 280, 636, 32, 2998, 36909, 584, 436, 595, 30, 1742, 328, 10703, 26, 10031, 20129, 35, 10794, 324, 1596, 44, 400, 9985, 280, 9985, 32, 37329, 26, 2050, 30, 12797, 324, 2940, 29316, 44, 400, 3636, 8073, 1215, 3949, 2473, 2524, 26, 10031, 2867, 91, 474, 225, 35, 5259, 584, 1596, 44, 324, 9985, 77, 10031, 6448, 35, 3212, 280, 786, 291, 2940, 12678, 44, 324, 3636, 8073, 1215, 3949, 2473, 2524, 26, 10031, 20129, 35, 5259, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8813, 81, 4658 ]
[ 26, 7909, 30, 46919, 81, 983, 47, 2521, 30, 46919, 81, 2895, 1057, 2342, 283, 7831, 203, 1524, 19393, 415, 600, 8813, 3425, 5375, 328, 312, 46919, 499, 753, 8813, 44, 499, 753, 46919, 81, 983, 44, 499, 753, 46919, 81, 2895, 44, 499, 601, 44, 308, 2420, 27, 2933, 1412, 322, 8813, 3425, 5375, 328, 322, 46919, 499, 16708, 44, 546, 21887, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 7909, 81, 4658, 683, 284, 415, 646, 6937, 26, 7909, 30, 1695, 800, 711, 291, 3124, 280, 330, 7909, 1638, 2298, 526, 312, 802, 25, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 546, 21887, 26, 2076, 27, 446, 588, 15545, 34420, 81, 8439, 438, 739, 284, 1245, 32, 2811, 463, 33947, 299, 34420, 81, 8439, 30865, 284, 1596, 44, 291, 1383, 81, 2833, 280, 2322, 32, 12757, 710, 18644, 81, 8439, 785, 284, 2940, 25085, 44, 291, 3124, 280, 330, 18644, 81, 8439, 438, 2129, 1273, 646, 739, 25, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 546, 21887, 26, 2076, 27, 446, 588, 15545, 1202, 3732, 883, 526, 2431, 284, 1202, 3732, 280, 2322, 32, 983, 32, 2524, 26, 1859, 81, 2833, 30, 330, 1771, 370, 330, 678, 3732, 683, 284, 415, 646, 2322, 32, 983, 32, 29712, 26, 678, 3732, 711, 291, 3124, 280, 330, 678, 3732, 803, 646, 2431, 44, 301, 88, 16805, 1643, 26, 88, 47, 678, 3732, 27, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 546, 21887, 26, 2076, 27, 446, 588, 7477, 322, 281, 329, 30003, 803, 284, 415, 46919, 81, 983, 438, 1665, 44, 291, 46919, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 1859, 81, 2833, 30, 330, 1356, 370, 330, 4373, 370, 330, 24127, 30003, 683, 584, 588, 1670, 322, 971, 613, 281, 329, 30003, 3894, 438, 646, 2431, 30, 2779, 436, 322, 33090, 281, 329, 30003, 291, 415, 646, 2322, 32, 983, 638, 29712, 26, 43951, 81, 983, 711, 324, 46919, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 1859, 81, 2833, 30, 330, 39132, 370, 330, 1356, 370, 330, 4373, 370, 330, 24127, 30003, 683, 324, 415, 646, 2322, 32, 983, 32, 29712, 26, 43951, 81, 983, 711, 400, 3124, 280, 330, 12014, 372, 803, 281, 329, 30003, 803, 25, 400, 1245, 32, 731, 26, 2076, 27, 400, 3636, 546, 21887, 26, 2076, 27, 446, 1245, 32, 1338, 463, 21306, 46919, 301, 93, 111, 436, 8813, 44, 301, 83, 111, 1179, 2473, 1643, 26, 93, 47, 43951, 81, 983, 30, 312, 47, 7909, 490, 446, 588, 5238, 322, 1202, 3732, 2016, 284, 2016, 280, 428, 678, 3732, 30, 6470, 43951, 370, 46919, 81, 983, 30, 6470, 2157, 4617, 370, 46919, 81, 2895, 30, 6470, 668, 785, 446, 588, 13766, 322, 1202, 3732, 1149, 2016, 284, 1245, 32, 2811, 463, 9514, 322, 1202, 3732, 1149, 2016, 30865, 284, 1596, 44, 291, 1056, 280, 1420, 81, 2501, 26, 2501, 27, 284, 2940, 5718, 924, 44, 291, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 291, 3124, 280, 330, 8309, 1597, 312, 3708, 3974, 1202, 3732, 544, 46919, 44, 301, 93, 4104, 96, 109, 87, 16805, 1643, 26, 93, 47, 43951, 81, 983, 30, 484, 47, 466, 26, 327, 490, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 546, 21887, 30, 3124, 30, 8244, 284, 415, 1056, 710, 687, 785, 863, 225, 34, 44, 291, 3124, 280, 330, 678, 3732, 2016, 35175, 623, 312, 2979, 31, 6158, 1340, 44, 301, 85, 835, 461, 16500, 1688, 44, 301, 97, 16805, 1643, 26, 324, 281, 47, 1267, 710, 687, 2188, 337, 47, 1267, 710, 2024, 3490, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 546, 21887, 26, 2076, 27, 446, 588, 3456, 436, 322, 8813, 328, 322, 1688, 284, 415, 8813, 328, 1056, 710, 2024, 12132, 291, 1245, 32, 1338, 463, 3595, 8813, 301, 83, 111, 328, 46919, 44, 301, 93, 16805, 1643, 26, 83, 47, 7909, 30, 831, 47, 43951, 81, 983, 490, 291, 442, 2933, 284, 813, 44, 291, 1245, 32, 1338, 463, 7886, 301, 83, 111, 1597, 646, 2431, 328, 46919, 44, 301, 93, 16805, 1643, 26, 83, 47, 7909, 30, 831, 47, 43951, 81, 983, 490, 291, 442, 3177, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2761, 26, 784, 30, 2467, 44, 6645, 30, 4422, 44, 827, 27, 967, 11713, 77, 1625, 30, 6204, 2786, 1524, 19077, 322, 2761, 667, 688, 3638, 1541, 2298, 372, 2054, 32, 499, 753, 2467, 44, 886, 30902, 2467, 32, 499, 681, 2467, 44, 6645, 499, 753, 4422, 44, 886, 4422, 1542, 32, 499, 681, 4422, 44, 827, 499, 601, 44, 886, 13996, 2467, 32, 499, 18398, 44, 11713, 77, 1625, 30, 6204, 79, 1524, 584, 3636, 22210, 463, 4282, 2298, 2054, 458, 11834, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 371, 81, 12610, 26, 784, 30, 5886, 81, 1160, 44, 827, 30, 28280, 44, 1682, 77, 466, 1130, 967, 11713, 77, 7556, 77, 720, 77, 681, 6137, 5648, 77, 681, 33504, 1524, 4859, 322, 1149, 432, 14772, 372, 1149, 432, 443, 32, 499, 753, 5886, 81, 2816, 44, 886, 1542, 432, 322, 2467, 32, 499, 681, 5886, 81, 2816, 44, 827, 499, 753, 28280, 44, 886, 14772, 1149, 622, 645, 322, 18788, 8281, 81, 33031, 2541, 499, 681, 28280, 44, 1682, 77, 466, 79, 499, 601, 44, 11713, 623, 322, 1149, 432, 28280, 308, 823, 27, 461, 322, 3100, 1994, 438, 322, 2401, 14772, 443, 32, 499, 18398, 44, 11713, 77, 7556, 77, 720, 77, 681, 6137, 5648, 77, 681, 3212, 1524, 584, 28280, 81, 668, 30, 2401, 81, 12610, 280, 5518, 5886, 81, 1160, 291, 436, 14772, 328, 28280, 44, 324, 12112, 280, 18623, 26, 2135, 81, 12610, 30, 14772, 30, 1665, 27, 324, 415, 12112, 438, 1665 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26, 7909, 30, 46919, 81, 983, 47, 2521, 30, 46919, 81, 2895, 1057, 2342, 283, 7831, 203, 1524, 19393, 415, 600, 8813, 3425, 5375, 328, 312, 46919, 499, 753, 8813, 44, 499, 753, 46919, 81, 983, 44, 499, 753, 46919, 81, 2895, 44, 499, 601, 44, 308, 2420, 27, 2933, 1412, 322, 8813, 3425, 5375, 328, 322, 46919, 499, 16708, 44, 546, 21887, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 7909, 81, 4658, 683, 284, 415, 646, 6937, 26, 7909, 30, 1695, 800, 711, 291, 3124, 280, 330, 7909, 1638, 2298, 526, 312, 802, 25, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 546, 21887, 26, 2076, 27, 446, 588, 15545, 34420, 81, 8439, 438, 739, 284, 1245, 32, 2811, 463, 33947, 299, 34420, 81, 8439, 30865, 284, 1596, 44, 291, 1383, 81, 2833, 280, 2322, 32, 12757, 710, 18644, 81, 8439, 785, 284, 2940, 25085, 44, 291, 3124, 280, 330, 18644, 81, 8439, 438, 2129, 1273, 646, 739, 25, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 546, 21887, 26, 2076, 27, 446, 588, 15545, 1202, 3732, 883, 526, 2431, 284, 1202, 3732, 280, 2322, 32, 983, 32, 2524, 26, 1859, 81, 2833, 30, 330, 1771, 370, 330, 678, 3732, 683, 284, 415, 646, 2322, 32, 983, 32, 29712, 26, 678, 3732, 711, 291, 3124, 280, 330, 678, 3732, 803, 646, 2431, 44, 301, 88, 16805, 1643, 26, 88, 47, 678, 3732, 27, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 546, 21887, 26, 2076, 27, 446, 588, 7477, 322, 281, 329, 30003, 803, 284, 415, 46919, 81, 983, 438, 1665, 44, 291, 46919, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 1859, 81, 2833, 30, 330, 1356, 370, 330, 4373, 370, 330, 24127, 30003, 683, 584, 588, 1670, 322, 971, 613, 281, 329, 30003, 3894, 438, 646, 2431, 30, 2779, 436, 322, 33090, 281, 329, 30003, 291, 415, 646, 2322, 32, 983, 638, 29712, 26, 43951, 81, 983, 711, 324, 46919, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 1859, 81, 2833, 30, 330, 39132, 370, 330, 1356, 370, 330, 4373, 370, 330, 24127, 30003, 683, 324, 415, 646, 2322, 32, 983, 32, 29712, 26, 43951, 81, 983, 711, 400, 3124, 280, 330, 12014, 372, 803, 281, 329, 30003, 803, 25, 400, 1245, 32, 731, 26, 2076, 27, 400, 3636, 546, 21887, 26, 2076, 27, 446, 1245, 32, 1338, 463, 21306, 46919, 301, 93, 111, 436, 8813, 44, 301, 83, 111, 1179, 2473, 1643, 26, 93, 47, 43951, 81, 983, 30, 312, 47, 7909, 490, 446, 588, 5238, 322, 1202, 3732, 2016, 284, 2016, 280, 428, 678, 3732, 30, 6470, 43951, 370, 46919, 81, 983, 30, 6470, 2157, 4617, 370, 46919, 81, 2895, 30, 6470, 668, 785, 446, 588, 13766, 322, 1202, 3732, 1149, 2016, 284, 1245, 32, 2811, 463, 9514, 322, 1202, 3732, 1149, 2016, 30865, 284, 1596, 44, 291, 1056, 280, 1420, 81, 2501, 26, 2501, 27, 284, 2940, 5718, 924, 44, 291, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 291, 3124, 280, 330, 8309, 1597, 312, 3708, 3974, 1202, 3732, 544, 46919, 44, 301, 93, 4104, 96, 109, 87, 16805, 1643, 26, 93, 47, 43951, 81, 983, 30, 484, 47, 466, 26, 327, 490, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 546, 21887, 30, 3124, 30, 8244, 284, 415, 1056, 710, 687, 785, 863, 225, 34, 44, 291, 3124, 280, 330, 678, 3732, 2016, 35175, 623, 312, 2979, 31, 6158, 1340, 44, 301, 85, 835, 461, 16500, 1688, 44, 301, 97, 16805, 1643, 26, 324, 281, 47, 1267, 710, 687, 2188, 337, 47, 1267, 710, 2024, 3490, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 546, 21887, 26, 2076, 27, 446, 588, 3456, 436, 322, 8813, 328, 322, 1688, 284, 415, 8813, 328, 1056, 710, 2024, 12132, 291, 1245, 32, 1338, 463, 3595, 8813, 301, 83, 111, 328, 46919, 44, 301, 93, 16805, 1643, 26, 83, 47, 7909, 30, 831, 47, 43951, 81, 983, 490, 291, 442, 2933, 284, 813, 44, 291, 1245, 32, 1338, 463, 7886, 301, 83, 111, 1597, 646, 2431, 328, 46919, 44, 301, 93, 16805, 1643, 26, 83, 47, 7909, 30, 831, 47, 43951, 81, 983, 490, 291, 442, 3177, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2761, 26, 784, 30, 2467, 44, 6645, 30, 4422, 44, 827, 27, 967, 11713, 77, 1625, 30, 6204, 2786, 1524, 19077, 322, 2761, 667, 688, 3638, 1541, 2298, 372, 2054, 32, 499, 753, 2467, 44, 886, 30902, 2467, 32, 499, 681, 2467, 44, 6645, 499, 753, 4422, 44, 886, 4422, 1542, 32, 499, 681, 4422, 44, 827, 499, 601, 44, 886, 13996, 2467, 32, 499, 18398, 44, 11713, 77, 1625, 30, 6204, 79, 1524, 584, 3636, 22210, 463, 4282, 2298, 2054, 458, 11834, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 371, 81, 12610, 26, 784, 30, 5886, 81, 1160, 44, 827, 30, 28280, 44, 1682, 77, 466, 1130, 967, 11713, 77, 7556, 77, 720, 77, 681, 6137, 5648, 77, 681, 33504, 1524, 4859, 322, 1149, 432, 14772, 372, 1149, 432, 443, 32, 499, 753, 5886, 81, 2816, 44, 886, 1542, 432, 322, 2467, 32, 499, 681, 5886, 81, 2816, 44, 827, 499, 753, 28280, 44, 886, 14772, 1149, 622, 645, 322, 18788, 8281, 81, 33031, 2541, 499, 681, 28280, 44, 1682, 77, 466, 79, 499, 601, 44, 11713, 623, 322, 1149, 432, 28280, 308, 823, 27, 461, 322, 3100, 1994, 438, 322, 2401, 14772, 443, 32, 499, 18398, 44, 11713, 77, 7556, 77, 720, 77, 681, 6137, 5648, 77, 681, 3212, 1524, 584, 28280, 81, 668, 30, 2401, 81, 12610, 280, 5518, 5886, 81, 1160, 291, 436, 14772, 328, 28280, 44, 324, 12112, 280, 18623, 26, 2135, 81, 12610, 30, 14772, 30, 1665, 27, 324, 415, 12112, 438, 1665 ]
[ 44, 400, 442, 308, 2521, 30, 1665, 27, 324, 2401, 81, 12610, 280, 12112, 32, 13474, 32, 823, 81, 324, 28280, 81, 668, 32, 1689, 26, 2135, 81, 12610, 27, 291, 442, 308, 33031, 81, 668, 30, 2401, 81, 12610, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 2524, 81, 11278, 26, 784, 30, 2467, 44, 6645, 30, 7140, 81, 3378, 44, 5648, 77, 720, 77, 681, 13138, 967, 6645, 44, 1524, 1868, 372, 1930, 322, 7140, 1412, 14772, 438, 2431, 32, 499, 753, 2467, 44, 886, 30902, 2467, 32, 499, 681, 2467, 44, 6645, 499, 753, 7140, 81, 3378, 44, 886, 1149, 432, 27033, 4549, 622, 645, 322, 1411, 18788, 371, 81, 12610, 2541, 499, 681, 7140, 81, 3378, 44, 5648, 77, 720, 77, 681, 3212, 499, 601, 44, 886, 537, 6645, 623, 322, 27033, 10343, 32, 499, 18398, 44, 6645, 1524, 584, 27033, 81, 1217, 280, 2467, 291, 588, 2648, 322, 1149, 432, 3425, 27033, 11740, 291, 27033, 81, 11278, 280, 428, 13474, 32, 823, 81, 436, 15065, 328, 2467, 1114, 2524, 81, 9244, 79, 291, 415, 7140, 81, 3378, 44, 324, 436, 594, 81, 1160, 328, 7140, 81, 3378, 44, 400, 415, 646, 594, 81, 1160, 328, 27033, 81, 11278, 44, 528, 588, 517, 14351, 7140, 442, 312, 537, 2467, 517, 14351, 528, 27033, 81, 1217, 280, 27033, 81, 1217, 32, 2524, 26, 92, 81, 1160, 27, 291, 442, 27033, 81, 1217, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3240, 81, 19432, 26, 5452, 44, 596, 30, 1474, 44, 596, 30, 7045, 44, 596, 26409, 1115, 4124, 711, 203, 1524, 42710, 27605, 4729, 1224, 2461, 13573, 7051, 27605, 2330, 32, 12141, 3099, 50, 93, 2461, 13573, 32, 508, 436, 2857, 32, 499, 753, 9836, 44, 18969, 1451, 499, 753, 1474, 44, 4578, 372, 526, 2813, 1442, 499, 753, 7045, 44, 40521, 308, 1449, 225, 35, 35, 7125, 27, 499, 753, 8556, 44, 9870, 1202, 31, 853, 11847, 372, 526, 4618, 372, 27605, 2330, 499, 601, 44, 5170, 645, 5167, 32, 1526, 1524, 446, 415, 646, 19326, 26, 3550, 30, 330, 26085, 81, 9052, 7831, 291, 3636, 3268, 463, 3817, 3488, 44, 4070, 32, 26085, 81, 9052, 5816, 683, 284, 415, 646, 7045, 44, 291, 7045, 280, 4070, 32, 26085, 81, 19602, 527, 81, 2474, 284, 415, 646, 7045, 44, 291, 3636, 3268, 463, 3817, 3488, 44, 4070, 32, 26085, 81, 19602, 527, 81, 2474, 5816, 683, 284, 4826, 280, 301, 291, 330, 1777, 31, 620, 950, 330, 3164, 33, 1260, 370, 291, 330, 8466, 950, 330, 1763, 330, 474, 4070, 32, 26085, 81, 9052, 30, 284, 320, 284, 706, 280, 301, 291, 330, 6298, 950, 9836, 81, 2029, 26, 5452, 471, 291, 330, 2076, 950, 1474, 30, 291, 330, 1617, 950, 7045, 30, 284, 320, 284, 436, 831, 30, 354, 328, 8556, 32, 3028, 2262, 291, 706, 77, 93, 79, 280, 354, 284, 442, 5167, 32, 1526, 440, 641, 555, 19432, 32, 93, 2461, 13573, 32, 508, 33, 1237, 33, 19432, 10590, 2361, 47, 605, 30, 4826, 47, 5078, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 2859, 81, 371, 81, 3142, 81, 5207, 26, 954, 81, 6572, 711, 203, 1524, 12584, 312, 6089, 3420, 372, 622, 6063, 1133, 2993, 446, 26457, 8512, 32, 3142, 26, 314, 81, 3142, 47, 954, 81, 6572, 27, 446, 18296, 280, 1244, 81, 7212, 346, 429, 15154, 81, 4804, 284, 1133, 81, 14704, 81, 269, 280, 10698, 44, 39, 32, 36, 88, 111, 101, 2296, 1643, 26, 17517, 27, 284, 1459, 15062, 34, 14006, 37, 34, 111, 301, 35, 44, 48, 36, 34, 16054, 1643, 26, 954, 81, 6572, 30, 1133, 81, 14704, 81, 269, 490, 446, 442, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4705, 26, 784, 30, 1123, 711, 291, 5881, 291, 10819, 4308, 645, 2935, 1123, 544, 322, 2016, 291, 5881, 291, 630, 32, 4073, 280, 1123, 32, 4073, 291, 630, 32, 7883, 32, 4073, 280, 630, 32, 4073, 584, 415, 646, 630, 32, 2501, 81, 426, 44, 324, 3636, 14893, 44933, 984, 346, 584, 630, 32, 725, 280, 1123, 291, 630, 32, 8299, 81, 24050, 280, 630, 32, 8299, 291, 630, 32, 8299, 280, 1123, 32, 8299, 584, 415, 630, 32, 539, 81, 1113, 1163, 44, 324, 617, 1664, 81, 1163, 26, 784, 27, 291, 813, 44, 324, 630, 32, 1163, 280, 630, 32, 725, 32, 1163, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 2232, 81, 4164, 81, 3518, 26, 4164, 711, 203, 1524, 936, 322, 1932, 42456, 6852, 328, 312, 38092, 32, 1796, 21291, 32, 1348, 438, 21099, 1654, 436, 11089, 299, 14998, 30, 461, 600, 8007, 22577, 438, 5182, 6783, 372, 526, 312, 6085, 18734, 32, 1524, 446, 436, 2830, 328, 4906, 32, 371, 81, 5740, 2262, 291, 415, 6937, 26, 2067, 30, 38092, 32, 1669, 711, 324, 588, 1932, 3223, 324, 442, 2830, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1015, 81, 20518, 26, 784, 30, 22070, 30, 3851, 81, 426, 347, 3854, 10280, 203, 1524, 1103, 312, 22070, 11165, 1524, 584, 712, 280, 18623, 26, 784, 30, 3851, 81, 426, 30, 1665, 27, 291, 415, 712, 438, 1665, 44, 324, 3636, 29316, 26, 400, 330, 2879, 636, 2298, 526, 312, 5809, 432, 322, 11165, 683, 291, 712, 32, 669, 26, 20518, 32, 3854, 27, 291, 630, 32, 2003, 7757, 32, 1689, 26, 20518, 27, 291, 442, 22070, 49153, 37530, 322 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 44, 400, 442, 308, 2521, 30, 1665, 27, 324, 2401, 81, 12610, 280, 12112, 32, 13474, 32, 823, 81, 324, 28280, 81, 668, 32, 1689, 26, 2135, 81, 12610, 27, 291, 442, 308, 33031, 81, 668, 30, 2401, 81, 12610, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 2524, 81, 11278, 26, 784, 30, 2467, 44, 6645, 30, 7140, 81, 3378, 44, 5648, 77, 720, 77, 681, 13138, 967, 6645, 44, 1524, 1868, 372, 1930, 322, 7140, 1412, 14772, 438, 2431, 32, 499, 753, 2467, 44, 886, 30902, 2467, 32, 499, 681, 2467, 44, 6645, 499, 753, 7140, 81, 3378, 44, 886, 1149, 432, 27033, 4549, 622, 645, 322, 1411, 18788, 371, 81, 12610, 2541, 499, 681, 7140, 81, 3378, 44, 5648, 77, 720, 77, 681, 3212, 499, 601, 44, 886, 537, 6645, 623, 322, 27033, 10343, 32, 499, 18398, 44, 6645, 1524, 584, 27033, 81, 1217, 280, 2467, 291, 588, 2648, 322, 1149, 432, 3425, 27033, 11740, 291, 27033, 81, 11278, 280, 428, 13474, 32, 823, 81, 436, 15065, 328, 2467, 1114, 2524, 81, 9244, 79, 291, 415, 7140, 81, 3378, 44, 324, 436, 594, 81, 1160, 328, 7140, 81, 3378, 44, 400, 415, 646, 594, 81, 1160, 328, 27033, 81, 11278, 44, 528, 588, 517, 14351, 7140, 442, 312, 537, 2467, 517, 14351, 528, 27033, 81, 1217, 280, 27033, 81, 1217, 32, 2524, 26, 92, 81, 1160, 27, 291, 442, 27033, 81, 1217, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3240, 81, 19432, 26, 5452, 44, 596, 30, 1474, 44, 596, 30, 7045, 44, 596, 26409, 1115, 4124, 711, 203, 1524, 42710, 27605, 4729, 1224, 2461, 13573, 7051, 27605, 2330, 32, 12141, 3099, 50, 93, 2461, 13573, 32, 508, 436, 2857, 32, 499, 753, 9836, 44, 18969, 1451, 499, 753, 1474, 44, 4578, 372, 526, 2813, 1442, 499, 753, 7045, 44, 40521, 308, 1449, 225, 35, 35, 7125, 27, 499, 753, 8556, 44, 9870, 1202, 31, 853, 11847, 372, 526, 4618, 372, 27605, 2330, 499, 601, 44, 5170, 645, 5167, 32, 1526, 1524, 446, 415, 646, 19326, 26, 3550, 30, 330, 26085, 81, 9052, 7831, 291, 3636, 3268, 463, 3817, 3488, 44, 4070, 32, 26085, 81, 9052, 5816, 683, 284, 415, 646, 7045, 44, 291, 7045, 280, 4070, 32, 26085, 81, 19602, 527, 81, 2474, 284, 415, 646, 7045, 44, 291, 3636, 3268, 463, 3817, 3488, 44, 4070, 32, 26085, 81, 19602, 527, 81, 2474, 5816, 683, 284, 4826, 280, 301, 291, 330, 1777, 31, 620, 950, 330, 3164, 33, 1260, 370, 291, 330, 8466, 950, 330, 1763, 330, 474, 4070, 32, 26085, 81, 9052, 30, 284, 320, 284, 706, 280, 301, 291, 330, 6298, 950, 9836, 81, 2029, 26, 5452, 471, 291, 330, 2076, 950, 1474, 30, 291, 330, 1617, 950, 7045, 30, 284, 320, 284, 436, 831, 30, 354, 328, 8556, 32, 3028, 2262, 291, 706, 77, 93, 79, 280, 354, 284, 442, 5167, 32, 1526, 440, 641, 555, 19432, 32, 93, 2461, 13573, 32, 508, 33, 1237, 33, 19432, 10590, 2361, 47, 605, 30, 4826, 47, 5078, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 2859, 81, 371, 81, 3142, 81, 5207, 26, 954, 81, 6572, 711, 203, 1524, 12584, 312, 6089, 3420, 372, 622, 6063, 1133, 2993, 446, 26457, 8512, 32, 3142, 26, 314, 81, 3142, 47, 954, 81, 6572, 27, 446, 18296, 280, 1244, 81, 7212, 346, 429, 15154, 81, 4804, 284, 1133, 81, 14704, 81, 269, 280, 10698, 44, 39, 32, 36, 88, 111, 101, 2296, 1643, 26, 17517, 27, 284, 1459, 15062, 34, 14006, 37, 34, 111, 301, 35, 44, 48, 36, 34, 16054, 1643, 26, 954, 81, 6572, 30, 1133, 81, 14704, 81, 269, 490, 446, 442, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 4705, 26, 784, 30, 1123, 711, 291, 5881, 291, 10819, 4308, 645, 2935, 1123, 544, 322, 2016, 291, 5881, 291, 630, 32, 4073, 280, 1123, 32, 4073, 291, 630, 32, 7883, 32, 4073, 280, 630, 32, 4073, 584, 415, 646, 630, 32, 2501, 81, 426, 44, 324, 3636, 14893, 44933, 984, 346, 584, 630, 32, 725, 280, 1123, 291, 630, 32, 8299, 81, 24050, 280, 630, 32, 8299, 291, 630, 32, 8299, 280, 1123, 32, 8299, 584, 415, 630, 32, 539, 81, 1113, 1163, 44, 324, 617, 1664, 81, 1163, 26, 784, 27, 291, 813, 44, 324, 630, 32, 1163, 280, 630, 32, 725, 32, 1163, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 2232, 81, 4164, 81, 3518, 26, 4164, 711, 203, 1524, 936, 322, 1932, 42456, 6852, 328, 312, 38092, 32, 1796, 21291, 32, 1348, 438, 21099, 1654, 436, 11089, 299, 14998, 30, 461, 600, 8007, 22577, 438, 5182, 6783, 372, 526, 312, 6085, 18734, 32, 1524, 446, 436, 2830, 328, 4906, 32, 371, 81, 5740, 2262, 291, 415, 6937, 26, 2067, 30, 38092, 32, 1669, 711, 324, 588, 1932, 3223, 324, 442, 2830, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1015, 81, 20518, 26, 784, 30, 22070, 30, 3851, 81, 426, 347, 3854, 10280, 203, 1524, 1103, 312, 22070, 11165, 1524, 584, 712, 280, 18623, 26, 784, 30, 3851, 81, 426, 30, 1665, 27, 291, 415, 712, 438, 1665, 44, 324, 3636, 29316, 26, 400, 330, 2879, 636, 2298, 526, 312, 5809, 432, 322, 11165, 683, 291, 712, 32, 669, 26, 20518, 32, 3854, 27, 291, 630, 32, 2003, 7757, 32, 1689, 26, 20518, 27, 291, 442, 22070, 49153, 37530, 322 ]
[ 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 7818, 81, 4994, 26, 106, 30, 6915, 711, 203, 1524, 10238, 322, 1451, 372, 322, 3191, 1451, 432, 14724, 37526, 2993, 446, 442, 7818, 26, 106, 30, 6915, 429, 629, 26, 9121, 26, 751, 35, 34, 26, 3596, 26, 106, 7748, 429, 225, 35, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2156, 81, 761, 26, 3607, 30, 619, 81, 878, 47, 2700, 711, 203, 1524, 2961, 322, 803, 42813, 108, 7902, 561, 415, 561, 15564, 623, 638, 6680, 32, 1670, 619, 81, 878, 322, 803, 438, 13197, 328, 1344, 2926, 30, 5878, 322, 803, 1182, 13197, 328, 5298, 2926, 7103, 446, 415, 4870, 32, 5729, 922, 20643, 3949, 6680, 7831, 291, 415, 619, 81, 878, 44, 324, 442, 24297, 32, 1676, 26, 3607, 30, 330, 2051, 683, 291, 813, 44, 324, 442, 24297, 32, 1676, 26, 3607, 30, 330, 4506, 683, 284, 813, 44, 291, 415, 619, 81, 878, 44, 324, 442, 2156, 26, 3607, 30, 330, 2051, 683, 291, 813, 44, 324, 442, 2156, 26, 3607, 30, 330, 4506, 683, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2866, 81, 40259, 267, 93, 81, 5613, 4519, 26, 2024, 1761, 30, 39135, 2301, 30, 786, 1339, 18520, 30, 5890, 4232, 3913, 30, 1600, 4232, 3913, 711, 203, 1524, 2272, 438, 312, 1779, 16445, 372, 2866, 322, 16645, 5035, 688, 358, 448, 267, 93, 5652, 32, 13508, 5652, 372, 526, 14171, 623, 4660, 688, 6972, 4660, 1829, 6153, 372, 526, 6638, 32, 499, 753, 1688, 1761, 44, 3772, 636, 436, 322, 803, 372, 2866, 372, 499, 753, 39135, 2301, 44, 5950, 1755, 537, 706, 30, 646, 16495, 32, 4703, 827, 1098, 526, 9261, 959, 499, 753, 786, 8033, 44, 399, 5436, 688, 18872, 322, 4949, 443, 432, 322, 786, 4308, 308, 3985, 810, 358, 448, 267, 93, 27, 499, 753, 5890, 4232, 3913, 44, 399, 5436, 623, 5035, 4308, 688, 5510, 322, 5219, 470, 619, 312, 9844, 32, 886, 5036, 1654, 436, 3282, 5035, 884, 973, 372, 322, 1256, 30, 1273, 4942, 11668, 2305, 1914, 30, 3048, 30, 3272, 30, 8142, 32, 499, 753, 1600, 4232, 3913, 44, 399, 1149, 432, 5436, 101, 623, 322, 5388, 1600, 5035, 32, 11072, 5436, 1401, 312, 1202, 8189, 22779, 13696, 786, 438, 322, 636, 432, 322, 1600, 3998, 10303, 30, 461, 312, 1202, 636, 2078, 6560, 1882, 2078, 438, 312, 1992, 432, 5035, 4308, 32, 886, 5036, 1654, 436, 3282, 5035, 884, 973, 372, 322, 1256, 30, 1273, 4942, 11668, 2305, 1914, 30, 3048, 30, 3272, 30, 8142, 32, 1524, 446, 6089, 280, 2149, 284, 5576, 280, 2149, 284, 588, 4296, 1015, 3272, 2804, 429, 2624, 372, 2887, 2340, 15477, 49, 284, 415, 5890, 4232, 3913, 44, 291, 5576, 32, 1877, 26, 5613, 4232, 3913, 27, 446, 415, 1600, 4232, 3913, 44, 291, 6089, 1365, 1495, 4232, 3913, 1446, 280, 1600, 4232, 3913, 446, 415, 2069, 26, 2962, 27, 848, 225, 34, 44, 291, 6089, 1365, 4642, 1446, 280, 5576, 446, 415, 786, 1339, 18520, 44, 291, 6089, 1365, 853, 1339, 18520, 1446, 280, 786, 1339, 18520, 284, 415, 39135, 2301, 44, 291, 6089, 710, 681, 785, 280, 330, 1088, 32, 40259, 267, 93, 32, 2516, 32, 7099, 959, 25, 284, 813, 44, 291, 6089, 710, 681, 785, 280, 330, 1088, 32, 40259, 267, 93, 32, 2516, 32, 63, 44374, 959, 25, 284, 309, 280, 2361, 32, 16958, 26, 2859, 27, 284, 6089, 280, 2156, 26, 2024, 1761, 474, 5608, 4519, 370, 330, 105, 683, 284, 6089, 32, 1821, 26, 101, 27, 284, 6089, 32, 2679, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2866, 81, 7982, 26, 1439, 558, 30, 2078, 711, 203, 1524, 2538, 322, 8607, 706, 499, 753, 1695, 558, 44, 886, 1695, 636, 432, 322, 1688, 2276, 32, 484, 32, 89, 32, 11581, 1098, 526, 22363, 372, 458, 1695, 636, 499, 753, 2078, 9473, 432, 2078, 372, 2866, 1524, 446, 345, 280, 2156, 26, 1439, 558, 225, 474, 7610, 7982, 32, 2760, 370, 330, 105, 683, 284, 436, 1202, 328, 2078, 44, 291, 345, 32, 1821, 26, 678, 474, 34020, 474, 596, 26, 2810, 77, 678, 1130, 474, 2706, 96, 657, 284, 345, 32, 9321, 346, 284, 345, 32, 2679, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4450, 81, 40187, 81, 1473, 81, 2665, 26, 1855, 30, 2179, 30, 2078, 711, 203, 1524, 10505, 312, 9473, 688, 10666, 312, 358, 448, 267, 93, 488, 44374, 959, 1412, 6638, 619, 3398, 499, 753, 1914, 44, 488, 16114, 3201, 328, 20358, 761, 556, 3438, 6911, 2179, 499, 753, 2179, 44, 886, 2179, 432, 322, 39798, 32, 21428, 330, 18861, 25, 556, 330, 44717, 25, 499, 753, 2078, 44, 5648, 5436, 432, 2078, 308, 4642, 27, 436, 322, 488, 44374, 959, 1524, 446, 345, 280, 3447, 6572, 563, 596, 26, 6572, 32, 6572, 38, 6182, 313, 1855, 563, 1914, 30, 313, 1643, 563, 2179, 111, 284, 415, 2078, 44, 291, 345, 1365, 2810, 1446, 280, 2078, 284, 442, 345, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2467, 81, 37406, 26, 1217, 81, 965, 30, 5868, 81, 4215, 30, 6550, 81, 2393, 47, 2521, 711, 203, 1524, 20919, 489, 28639, 436, 600, 12442, 499, 753, 2467, 81, 965, 44, 308, 466, 27, 6645, 3834, 499, 753, 5868, 81, 4215, 44, 308, 410, 27, 2467, 5868, 499, 753, 6550, 81, 2393, 308, 5068, 7099, 2681, 27, 1300, 556, 4909, 499, 601, 44 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 7818, 81, 4994, 26, 106, 30, 6915, 711, 203, 1524, 10238, 322, 1451, 372, 322, 3191, 1451, 432, 14724, 37526, 2993, 446, 442, 7818, 26, 106, 30, 6915, 429, 629, 26, 9121, 26, 751, 35, 34, 26, 3596, 26, 106, 7748, 429, 225, 35, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2156, 81, 761, 26, 3607, 30, 619, 81, 878, 47, 2700, 711, 203, 1524, 2961, 322, 803, 42813, 108, 7902, 561, 415, 561, 15564, 623, 638, 6680, 32, 1670, 619, 81, 878, 322, 803, 438, 13197, 328, 1344, 2926, 30, 5878, 322, 803, 1182, 13197, 328, 5298, 2926, 7103, 446, 415, 4870, 32, 5729, 922, 20643, 3949, 6680, 7831, 291, 415, 619, 81, 878, 44, 324, 442, 24297, 32, 1676, 26, 3607, 30, 330, 2051, 683, 291, 813, 44, 324, 442, 24297, 32, 1676, 26, 3607, 30, 330, 4506, 683, 284, 813, 44, 291, 415, 619, 81, 878, 44, 324, 442, 2156, 26, 3607, 30, 330, 2051, 683, 291, 813, 44, 324, 442, 2156, 26, 3607, 30, 330, 4506, 683, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2866, 81, 40259, 267, 93, 81, 5613, 4519, 26, 2024, 1761, 30, 39135, 2301, 30, 786, 1339, 18520, 30, 5890, 4232, 3913, 30, 1600, 4232, 3913, 711, 203, 1524, 2272, 438, 312, 1779, 16445, 372, 2866, 322, 16645, 5035, 688, 358, 448, 267, 93, 5652, 32, 13508, 5652, 372, 526, 14171, 623, 4660, 688, 6972, 4660, 1829, 6153, 372, 526, 6638, 32, 499, 753, 1688, 1761, 44, 3772, 636, 436, 322, 803, 372, 2866, 372, 499, 753, 39135, 2301, 44, 5950, 1755, 537, 706, 30, 646, 16495, 32, 4703, 827, 1098, 526, 9261, 959, 499, 753, 786, 8033, 44, 399, 5436, 688, 18872, 322, 4949, 443, 432, 322, 786, 4308, 308, 3985, 810, 358, 448, 267, 93, 27, 499, 753, 5890, 4232, 3913, 44, 399, 5436, 623, 5035, 4308, 688, 5510, 322, 5219, 470, 619, 312, 9844, 32, 886, 5036, 1654, 436, 3282, 5035, 884, 973, 372, 322, 1256, 30, 1273, 4942, 11668, 2305, 1914, 30, 3048, 30, 3272, 30, 8142, 32, 499, 753, 1600, 4232, 3913, 44, 399, 1149, 432, 5436, 101, 623, 322, 5388, 1600, 5035, 32, 11072, 5436, 1401, 312, 1202, 8189, 22779, 13696, 786, 438, 322, 636, 432, 322, 1600, 3998, 10303, 30, 461, 312, 1202, 636, 2078, 6560, 1882, 2078, 438, 312, 1992, 432, 5035, 4308, 32, 886, 5036, 1654, 436, 3282, 5035, 884, 973, 372, 322, 1256, 30, 1273, 4942, 11668, 2305, 1914, 30, 3048, 30, 3272, 30, 8142, 32, 1524, 446, 6089, 280, 2149, 284, 5576, 280, 2149, 284, 588, 4296, 1015, 3272, 2804, 429, 2624, 372, 2887, 2340, 15477, 49, 284, 415, 5890, 4232, 3913, 44, 291, 5576, 32, 1877, 26, 5613, 4232, 3913, 27, 446, 415, 1600, 4232, 3913, 44, 291, 6089, 1365, 1495, 4232, 3913, 1446, 280, 1600, 4232, 3913, 446, 415, 2069, 26, 2962, 27, 848, 225, 34, 44, 291, 6089, 1365, 4642, 1446, 280, 5576, 446, 415, 786, 1339, 18520, 44, 291, 6089, 1365, 853, 1339, 18520, 1446, 280, 786, 1339, 18520, 284, 415, 39135, 2301, 44, 291, 6089, 710, 681, 785, 280, 330, 1088, 32, 40259, 267, 93, 32, 2516, 32, 7099, 959, 25, 284, 813, 44, 291, 6089, 710, 681, 785, 280, 330, 1088, 32, 40259, 267, 93, 32, 2516, 32, 63, 44374, 959, 25, 284, 309, 280, 2361, 32, 16958, 26, 2859, 27, 284, 6089, 280, 2156, 26, 2024, 1761, 474, 5608, 4519, 370, 330, 105, 683, 284, 6089, 32, 1821, 26, 101, 27, 284, 6089, 32, 2679, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2866, 81, 7982, 26, 1439, 558, 30, 2078, 711, 203, 1524, 2538, 322, 8607, 706, 499, 753, 1695, 558, 44, 886, 1695, 636, 432, 322, 1688, 2276, 32, 484, 32, 89, 32, 11581, 1098, 526, 22363, 372, 458, 1695, 636, 499, 753, 2078, 9473, 432, 2078, 372, 2866, 1524, 446, 345, 280, 2156, 26, 1439, 558, 225, 474, 7610, 7982, 32, 2760, 370, 330, 105, 683, 284, 436, 1202, 328, 2078, 44, 291, 345, 32, 1821, 26, 678, 474, 34020, 474, 596, 26, 2810, 77, 678, 1130, 474, 2706, 96, 657, 284, 345, 32, 9321, 346, 284, 345, 32, 2679, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4450, 81, 40187, 81, 1473, 81, 2665, 26, 1855, 30, 2179, 30, 2078, 711, 203, 1524, 10505, 312, 9473, 688, 10666, 312, 358, 448, 267, 93, 488, 44374, 959, 1412, 6638, 619, 3398, 499, 753, 1914, 44, 488, 16114, 3201, 328, 20358, 761, 556, 3438, 6911, 2179, 499, 753, 2179, 44, 886, 2179, 432, 322, 39798, 32, 21428, 330, 18861, 25, 556, 330, 44717, 25, 499, 753, 2078, 44, 5648, 5436, 432, 2078, 308, 4642, 27, 436, 322, 488, 44374, 959, 1524, 446, 345, 280, 3447, 6572, 563, 596, 26, 6572, 32, 6572, 38, 6182, 313, 1855, 563, 1914, 30, 313, 1643, 563, 2179, 111, 284, 415, 2078, 44, 291, 345, 1365, 2810, 1446, 280, 2078, 284, 442, 345, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2467, 81, 37406, 26, 1217, 81, 965, 30, 5868, 81, 4215, 30, 6550, 81, 2393, 47, 2521, 711, 203, 1524, 20919, 489, 28639, 436, 600, 12442, 499, 753, 2467, 81, 965, 44, 308, 466, 27, 6645, 3834, 499, 753, 5868, 81, 4215, 44, 308, 410, 27, 2467, 5868, 499, 753, 6550, 81, 2393, 308, 5068, 7099, 2681, 27, 1300, 556, 4909, 499, 601, 44 ]
[ 5167, 32, 1397, 1300, 499, 16708, 44, 26405, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 1217, 81, 37406, 683, 446, 588, 36327, 372, 2467, 489, 28639, 284, 11322, 81, 4215, 280, 225, 39, 284, 1769, 81, 31039, 280, 225, 40, 284, 1596, 81, 1516, 280, 225, 35, 284, 2467, 81, 3127, 280, 3177, 284, 310, 28639, 81, 1986, 280, 1665, 284, 2218, 1596, 81, 1516, 2511, 1769, 81, 31039, 44, 291, 415, 2467, 81, 3127, 44, 324, 1626, 291, 1245, 32, 2811, 463, 23922, 588, 301, 96, 111, 432, 301, 95, 111, 372, 2467, 322, 489, 28639, 3834, 44, 301, 103, 16805, 1643, 26, 96, 47, 1270, 81, 1516, 30, 1044, 47, 1217, 81, 965, 30, 345, 47, 1449, 81, 31039, 490, 291, 1596, 44, 324, 310, 28639, 81, 1986, 280, 5167, 32, 371, 26, 1217, 81, 965, 30, 3796, 47, 6390, 81, 2393, 30, 3443, 47, 1815, 30, 5868, 47, 5457, 81, 4215, 27, 291, 2940, 5167, 32, 11452, 32, 4276, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 8930, 96, 10696, 489, 28639, 2815, 2467, 28877, 963, 2685, 301, 102, 111, 6791, 3491, 96, 109, 87, 16805, 1643, 26, 400, 310, 47, 327, 3667, 823, 29215, 426, 7642, 273, 47, 5457, 81, 4215, 30, 540, 47, 13558, 81, 4215, 30, 484, 47, 466, 26, 327, 490, 324, 1245, 32, 8447, 26, 2076, 27, 324, 415, 1596, 81, 1516, 333, 1769, 81, 31039, 44, 400, 1245, 32, 1338, 463, 12355, 299, 2467, 328, 301, 102, 111, 8382, 1179, 2473, 1643, 26, 102, 47, 13558, 81, 4215, 490, 400, 1133, 32, 7840, 26, 13558, 81, 4215, 27, 291, 2940, 308, 9698, 32, 11452, 32, 43657, 30, 5167, 32, 11452, 32, 2798, 924, 711, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 8930, 96, 10696, 489, 28639, 2815, 2467, 3803, 623, 322, 2412, 3756, 3491, 96, 109, 87, 16805, 1643, 26, 400, 310, 47, 327, 3667, 823, 29215, 426, 7642, 540, 47, 13558, 81, 4215, 30, 484, 47, 466, 26, 327, 490, 324, 1245, 32, 8447, 26, 2076, 27, 324, 415, 1596, 81, 1516, 333, 1769, 81, 31039, 44, 400, 1245, 32, 1338, 463, 12355, 299, 2467, 328, 301, 102, 111, 8382, 1179, 2473, 1643, 26, 102, 47, 13558, 81, 4215, 490, 400, 1133, 32, 7840, 26, 13558, 81, 4215, 27, 291, 813, 44, 324, 2467, 81, 3127, 280, 2933, 291, 1596, 81, 1516, 1454, 225, 35, 446, 415, 646, 2467, 81, 3127, 44, 291, 3124, 280, 330, 12014, 372, 2467, 489, 28639, 2685, 301, 95, 111, 20130, 1471, 3834, 44, 301, 103, 16805, 1643, 26, 324, 1044, 47, 1217, 81, 965, 30, 345, 47, 1449, 81, 31039, 27, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 26405, 26, 2076, 27, 446, 415, 310, 28639, 81, 1986, 32, 1517, 81, 687, 863, 225, 36, 34, 34, 44, 291, 3124, 280, 330, 64, 28639, 1326, 4717, 1340, 301, 85, 835, 17049, 372, 2467, 489, 28639, 1471, 3834, 44, 301, 103, 16805, 1643, 26, 324, 1044, 47, 1217, 81, 965, 30, 281, 47, 37406, 81, 1986, 32, 1517, 81, 687, 27, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 26405, 26, 2076, 27, 284, 442, 310, 28639, 81, 1986, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2575, 2262, 203, 1524, 24409, 8276, 458, 2297, 619, 312, 3261, 499, 601, 44, 1665, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 1831, 683, 284, 4118, 280, 16672, 32, 26633, 26, 2310, 1057, 2272, 4865, 2297, 41633, 21419, 645, 489, 28639, 11834, 284, 4118, 32, 669, 81, 2669, 12605, 103, 370, 11363, 965, 370, 3049, 1057, 64, 28639, 4226, 3834, 370, 2129, 47, 2700, 27, 284, 4118, 32, 669, 81, 2669, 12605, 89, 370, 11363, 11178, 370, 3049, 1057, 1564, 2484, 370, 2129, 47, 1815, 27, 284, 4118, 32, 669, 81, 2669, 12605, 83, 370, 11363, 13742, 370, 3049, 1057, 11951, 2484, 370, 2129, 47, 1815, 27, 284, 4118, 32, 669, 81, 2669, 12605, 104, 370, 11363, 1648, 370, 3049, 1057, 11951, 3036, 370, 2129, 47, 1815, 27, 284, 4118, 32, 669, 81, 2669, 12605, 85, 370, 11363, 18838, 370, 3049, 1057, 11951, 1709, 1889, 370, 2129, 47, 2700, 27, 284, 4118, 32, 669, 81, 2669, 12605, 98, 370, 11363, 36612, 370, 3049, 1057, 11951, 14096, 4879, 370, 2129, 47, 1815, 27, 284, 4118, 32, 669, 81, 2669, 12605, 100, 370, 11363, 6426, 370, 3049, 1057, 64, 28639, 5338, 636, 370, 2129, 47, 2700, 27, 284, 4118, 32, 669, 81, 2669, 12605, 86, 370, 11363, 9749, 2976, 370, 3049, 1057, 4542, 372, 5822, 372, 370, 2129, 47, 1815, 27, 284, 4118, 32, 669, 81, 2669, 12605, 96, 370, 11363, 699, 370, 3049, 1057, 4542, 372, 5822, 372, 370, 2129, 47, 1815, 27, 284, 4118, 32, 669, 81, 2669, 12605, 105, 370, 11363, 2895, 370, 3049, 1057, 4542, 372, 5822, 372, 370, 2129, 47, 1815, 27, 284, 2181, 280, 4118, 32, 2208, 81, 1132, 346, 284, 1596, 44, 291, 622, 81, 8651, 26, 324, 310, 28639, 81, 965, 47, 1132, 32, 965, 30, 324, 2350, 81, 314, 47, 1132, 32, 11178, 30, 324, 12442, 81, 314, 47, 1132, 32, 13742, 30, 324, 1503, 47, 1132, 32, 1648, 30, 324, 18602, 47, 1132, 32, 18838, 30, 324, 36435, 47, 1132, 32, 36612, 30, 324, 5867, 47, 1132, 32, 6426, 30, 324, 8050, 81, 1515, 47, 1132, 32, 9749, 2976, 30, 324, 952, 47, 1132, 32, 699, 30, 324, 3882, 47, 1132, 32, 2895, 291, 829, 284, 2940, 3268, 619, 484, 44, 291, 3124, 280, 330, 15015, 10311, 3756, 301, 96, 835, 17049, 436, 5822, 12442, 645, 489, 28639, 78, 96, 109, 101, 16805, 1643, 26, 324, 310, 47, 87, 3667, 823, 29215, 426, 7642, 309, 47, 87, 27, 291, 1245, 32, 731, 26, 2076, 27, 291, 442, 49153, 37530, 322, 2412, 3708 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5167, 32, 1397, 1300, 499, 16708, 44, 26405, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 1217, 81, 37406, 683, 446, 588, 36327, 372, 2467, 489, 28639, 284, 11322, 81, 4215, 280, 225, 39, 284, 1769, 81, 31039, 280, 225, 40, 284, 1596, 81, 1516, 280, 225, 35, 284, 2467, 81, 3127, 280, 3177, 284, 310, 28639, 81, 1986, 280, 1665, 284, 2218, 1596, 81, 1516, 2511, 1769, 81, 31039, 44, 291, 415, 2467, 81, 3127, 44, 324, 1626, 291, 1245, 32, 2811, 463, 23922, 588, 301, 96, 111, 432, 301, 95, 111, 372, 2467, 322, 489, 28639, 3834, 44, 301, 103, 16805, 1643, 26, 96, 47, 1270, 81, 1516, 30, 1044, 47, 1217, 81, 965, 30, 345, 47, 1449, 81, 31039, 490, 291, 1596, 44, 324, 310, 28639, 81, 1986, 280, 5167, 32, 371, 26, 1217, 81, 965, 30, 3796, 47, 6390, 81, 2393, 30, 3443, 47, 1815, 30, 5868, 47, 5457, 81, 4215, 27, 291, 2940, 5167, 32, 11452, 32, 4276, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 8930, 96, 10696, 489, 28639, 2815, 2467, 28877, 963, 2685, 301, 102, 111, 6791, 3491, 96, 109, 87, 16805, 1643, 26, 400, 310, 47, 327, 3667, 823, 29215, 426, 7642, 273, 47, 5457, 81, 4215, 30, 540, 47, 13558, 81, 4215, 30, 484, 47, 466, 26, 327, 490, 324, 1245, 32, 8447, 26, 2076, 27, 324, 415, 1596, 81, 1516, 333, 1769, 81, 31039, 44, 400, 1245, 32, 1338, 463, 12355, 299, 2467, 328, 301, 102, 111, 8382, 1179, 2473, 1643, 26, 102, 47, 13558, 81, 4215, 490, 400, 1133, 32, 7840, 26, 13558, 81, 4215, 27, 291, 2940, 308, 9698, 32, 11452, 32, 43657, 30, 5167, 32, 11452, 32, 2798, 924, 711, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 8930, 96, 10696, 489, 28639, 2815, 2467, 3803, 623, 322, 2412, 3756, 3491, 96, 109, 87, 16805, 1643, 26, 400, 310, 47, 327, 3667, 823, 29215, 426, 7642, 540, 47, 13558, 81, 4215, 30, 484, 47, 466, 26, 327, 490, 324, 1245, 32, 8447, 26, 2076, 27, 324, 415, 1596, 81, 1516, 333, 1769, 81, 31039, 44, 400, 1245, 32, 1338, 463, 12355, 299, 2467, 328, 301, 102, 111, 8382, 1179, 2473, 1643, 26, 102, 47, 13558, 81, 4215, 490, 400, 1133, 32, 7840, 26, 13558, 81, 4215, 27, 291, 813, 44, 324, 2467, 81, 3127, 280, 2933, 291, 1596, 81, 1516, 1454, 225, 35, 446, 415, 646, 2467, 81, 3127, 44, 291, 3124, 280, 330, 12014, 372, 2467, 489, 28639, 2685, 301, 95, 111, 20130, 1471, 3834, 44, 301, 103, 16805, 1643, 26, 324, 1044, 47, 1217, 81, 965, 30, 345, 47, 1449, 81, 31039, 27, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 26405, 26, 2076, 27, 446, 415, 310, 28639, 81, 1986, 32, 1517, 81, 687, 863, 225, 36, 34, 34, 44, 291, 3124, 280, 330, 64, 28639, 1326, 4717, 1340, 301, 85, 835, 17049, 372, 2467, 489, 28639, 1471, 3834, 44, 301, 103, 16805, 1643, 26, 324, 1044, 47, 1217, 81, 965, 30, 281, 47, 37406, 81, 1986, 32, 1517, 81, 687, 27, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 26405, 26, 2076, 27, 284, 442, 310, 28639, 81, 1986, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2575, 2262, 203, 1524, 24409, 8276, 458, 2297, 619, 312, 3261, 499, 601, 44, 1665, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 1831, 683, 284, 4118, 280, 16672, 32, 26633, 26, 2310, 1057, 2272, 4865, 2297, 41633, 21419, 645, 489, 28639, 11834, 284, 4118, 32, 669, 81, 2669, 12605, 103, 370, 11363, 965, 370, 3049, 1057, 64, 28639, 4226, 3834, 370, 2129, 47, 2700, 27, 284, 4118, 32, 669, 81, 2669, 12605, 89, 370, 11363, 11178, 370, 3049, 1057, 1564, 2484, 370, 2129, 47, 1815, 27, 284, 4118, 32, 669, 81, 2669, 12605, 83, 370, 11363, 13742, 370, 3049, 1057, 11951, 2484, 370, 2129, 47, 1815, 27, 284, 4118, 32, 669, 81, 2669, 12605, 104, 370, 11363, 1648, 370, 3049, 1057, 11951, 3036, 370, 2129, 47, 1815, 27, 284, 4118, 32, 669, 81, 2669, 12605, 85, 370, 11363, 18838, 370, 3049, 1057, 11951, 1709, 1889, 370, 2129, 47, 2700, 27, 284, 4118, 32, 669, 81, 2669, 12605, 98, 370, 11363, 36612, 370, 3049, 1057, 11951, 14096, 4879, 370, 2129, 47, 1815, 27, 284, 4118, 32, 669, 81, 2669, 12605, 100, 370, 11363, 6426, 370, 3049, 1057, 64, 28639, 5338, 636, 370, 2129, 47, 2700, 27, 284, 4118, 32, 669, 81, 2669, 12605, 86, 370, 11363, 9749, 2976, 370, 3049, 1057, 4542, 372, 5822, 372, 370, 2129, 47, 1815, 27, 284, 4118, 32, 669, 81, 2669, 12605, 96, 370, 11363, 699, 370, 3049, 1057, 4542, 372, 5822, 372, 370, 2129, 47, 1815, 27, 284, 4118, 32, 669, 81, 2669, 12605, 105, 370, 11363, 2895, 370, 3049, 1057, 4542, 372, 5822, 372, 370, 2129, 47, 1815, 27, 284, 2181, 280, 4118, 32, 2208, 81, 1132, 346, 284, 1596, 44, 291, 622, 81, 8651, 26, 324, 310, 28639, 81, 965, 47, 1132, 32, 965, 30, 324, 2350, 81, 314, 47, 1132, 32, 11178, 30, 324, 12442, 81, 314, 47, 1132, 32, 13742, 30, 324, 1503, 47, 1132, 32, 1648, 30, 324, 18602, 47, 1132, 32, 18838, 30, 324, 36435, 47, 1132, 32, 36612, 30, 324, 5867, 47, 1132, 32, 6426, 30, 324, 8050, 81, 1515, 47, 1132, 32, 9749, 2976, 30, 324, 952, 47, 1132, 32, 699, 30, 324, 3882, 47, 1132, 32, 2895, 291, 829, 284, 2940, 3268, 619, 484, 44, 291, 3124, 280, 330, 15015, 10311, 3756, 301, 96, 835, 17049, 436, 5822, 12442, 645, 489, 28639, 78, 96, 109, 101, 16805, 1643, 26, 324, 310, 47, 87, 3667, 823, 29215, 426, 7642, 309, 47, 87, 27, 291, 1245, 32, 731, 26, 2076, 27, 291, 442, 49153, 37530, 322, 2412, 3708 ]
[ 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 1427, 26, 12187, 81, 1427, 47, 2700, 30, 1600, 81, 4254, 20212, 370, 1600, 81, 12420, 47, 950, 370, 10525, 47, 38, 711, 203, 1524, 2891, 312, 2234, 733, 802, 6621, 4333, 2625, 322, 9025, 3829, 32, 1524, 446, 415, 5388, 81, 1427, 44, 291, 296, 280, 3829, 32, 2991, 346, 291, 296, 32, 1877, 26, 12187, 81, 1427, 27, 284, 813, 44, 291, 296, 280, 3829, 284, 1600, 81, 1322, 280, 622, 81, 1449, 81, 1495, 81, 1322, 26, 88, 27, 284, 1600, 81, 1322, 280, 1600, 81, 1322, 474, 2069, 26, 1495, 81, 4254, 27, 474, 2069, 26, 1495, 81, 12420, 27, 474, 225, 38, 284, 3048, 81, 9378, 280, 330, 330, 319, 308, 9378, 474, 1600, 81, 1322, 27, 284, 1688, 280, 4247, 284, 436, 1600, 30, 3048, 328, 8594, 26, 88, 32, 3028, 22805, 291, 3048, 280, 3048, 710, 2310, 785, 291, 1600, 280, 330, 330, 319, 10525, 474, 1600, 81, 4254, 474, 1600, 474, 25487, 291, 1688, 1454, 1600, 32, 94, 4510, 26, 1495, 81, 1322, 27, 474, 766, 324, 1344, 4071, 32, 4157, 26, 400, 3048, 30, 400, 1861, 47, 41, 42, 30, 400, 2815, 81, 9378, 47, 2310, 81, 9378, 30, 400, 16490, 81, 9378, 47, 2310, 81, 9378, 324, 829, 77, 1495, 81, 1322, 10056, 474, 3228, 96, 78, 96, 78, 96, 25, 446, 442, 1688, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1149, 81, 2242, 26, 784, 711, 203, 588, 827, 44, 1404, 967, 1682, 77, 466, 79, 1524, 1682, 5703, 7107, 328, 322, 10880, 32, 3759, 44, 1149, 77, 466, 2786, 1682, 432, 1778, 4467, 32, 1524, 584, 540, 280, 630, 32, 371, 26, 784, 32, 8200, 81, 965, 474, 3056, 104, 36, 8501, 10771, 370, 3796, 47, 784, 32, 2393, 27, 291, 442, 540, 32, 1260, 31510, 20195, 785, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1149, 81, 3963, 26, 784, 30, 1778, 81, 426, 711, 203, 588, 827, 44, 308, 466, 27, 967, 14743, 77, 466, 79, 1524, 1682, 1169, 5911, 436, 322, 2702, 1778, 7107, 328, 322, 10880, 32, 10460, 44, 1778, 81, 426, 308, 466, 711, 203, 886, 636, 432, 322, 1778, 372, 2467, 32, 886, 1778, 2298, 526, 5024, 544, 322, 10880, 436, 458, 1476, 372, 442, 1346, 2078, 32, 3759, 44, 1149, 77, 466, 2786, 1682, 432, 5911, 436, 688, 1778, 32, 1524, 584, 5911, 81, 965, 280, 630, 32, 8200, 81, 965, 474, 3056, 104, 36, 46052, 3963, 33, 668, 25, 584, 540, 280, 630, 32, 371, 26, 3963, 81, 965, 32, 1643, 26, 893, 81, 426, 471, 3796, 47, 784, 32, 2393, 27, 291, 706, 280, 540, 32, 1260, 346, 584, 415, 330, 3963, 25, 328, 706, 44, 324, 442, 29390, 26, 11939, 26, 605, 710, 3963, 7698, 584, 442, 1605, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 6042, 26, 5474, 81, 1515, 711, 203, 1524, 2019, 1628, 1476, 372, 6042, 600, 7057, 5193, 499, 753, 7057, 81, 1515, 44, 308, 2620, 1519, 372, 322, 7057, 4921, 27, 499, 601, 44, 308, 410, 27, 1524, 446, 1596, 44, 291, 7057, 81, 426, 280, 6042, 81, 5474, 81, 5999, 26, 5474, 81, 1515, 81, 983, 47, 5474, 81, 1515, 27, 284, 2940, 12184, 37, 2051, 6859, 8634, 924, 44, 291, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 291, 3124, 280, 330, 8407, 37, 2051, 6859, 8634, 924, 44, 17976, 623, 7057, 6850, 78, 96, 109, 87, 16805, 1643, 26, 87, 47, 466, 26, 327, 490, 291, 1459, 463, 2930, 44, 301, 95, 16805, 1643, 26, 95, 47, 2076, 490, 291, 442, 225, 35, 284, 1459, 463, 38677, 7057, 623, 636, 44, 301, 96, 16805, 1643, 26, 96, 47, 5474, 81, 426, 490, 284, 442, 225, 34, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1487, 26, 5474, 81, 1515, 30, 3466, 81, 1515, 711, 203, 1524, 2019, 1628, 1476, 372, 1487, 600, 7057, 8529, 499, 753, 7057, 81, 1515, 44, 308, 2620, 1519, 372, 322, 7057, 4921, 27, 499, 753, 3466, 81, 1515, 44, 308, 2620, 1519, 372, 322, 8050, 3362, 27, 499, 601, 44, 308, 410, 27, 1524, 446, 909, 280, 6042, 26, 5474, 81, 1515, 47, 5474, 81, 1515, 27, 284, 415, 909, 863, 225, 34, 44, 291, 442, 225, 35, 284, 1596, 44, 291, 7057, 81, 3969, 280, 1930, 81, 5474, 81, 3969, 26, 5474, 81, 1515, 81, 983, 47, 5474, 81, 1515, 30, 8050, 81, 5660, 47, 3316, 81, 1515, 27, 284, 2940, 15930, 13567, 12608, 924, 44, 291, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 291, 3124, 280, 330, 6859, 13567, 12608, 924, 44, 17976, 623, 7057, 8529, 10064, 78, 96, 109, 87, 16805, 1643, 26, 87, 47, 466, 26, 327, 490, 291, 1459, 463, 2930, 44, 301, 95, 16805, 1643, 26, 95, 47, 2076, 490, 291, 442, 225, 35, 284, 1459, 463, 6873, 7057, 8529, 803, 44, 301, 108, 16805, 1643, 26, 108, 47, 5474, 81, 3969, 490, 284, 442, 225, 34, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 37741, 26, 784, 711, 203, 1524, 1348, 2202, 1395, 442, 312, 1149, 432, 1169, 322, 11019, 322, 10625, 1401, 436, 322, 13798, 2467, 3377, 32, 15596, 1755, 9567, 2965, 81, 681, 461, 1244, 2803, 25144, 11246, 101, 11019, 623, 2919, 318, 541, 280, 2933, 1524, 584, 10625, 81, 314, 280, 630, 32, 5321, 1365, 8543, 81, 314 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 1427, 26, 12187, 81, 1427, 47, 2700, 30, 1600, 81, 4254, 20212, 370, 1600, 81, 12420, 47, 950, 370, 10525, 47, 38, 711, 203, 1524, 2891, 312, 2234, 733, 802, 6621, 4333, 2625, 322, 9025, 3829, 32, 1524, 446, 415, 5388, 81, 1427, 44, 291, 296, 280, 3829, 32, 2991, 346, 291, 296, 32, 1877, 26, 12187, 81, 1427, 27, 284, 813, 44, 291, 296, 280, 3829, 284, 1600, 81, 1322, 280, 622, 81, 1449, 81, 1495, 81, 1322, 26, 88, 27, 284, 1600, 81, 1322, 280, 1600, 81, 1322, 474, 2069, 26, 1495, 81, 4254, 27, 474, 2069, 26, 1495, 81, 12420, 27, 474, 225, 38, 284, 3048, 81, 9378, 280, 330, 330, 319, 308, 9378, 474, 1600, 81, 1322, 27, 284, 1688, 280, 4247, 284, 436, 1600, 30, 3048, 328, 8594, 26, 88, 32, 3028, 22805, 291, 3048, 280, 3048, 710, 2310, 785, 291, 1600, 280, 330, 330, 319, 10525, 474, 1600, 81, 4254, 474, 1600, 474, 25487, 291, 1688, 1454, 1600, 32, 94, 4510, 26, 1495, 81, 1322, 27, 474, 766, 324, 1344, 4071, 32, 4157, 26, 400, 3048, 30, 400, 1861, 47, 41, 42, 30, 400, 2815, 81, 9378, 47, 2310, 81, 9378, 30, 400, 16490, 81, 9378, 47, 2310, 81, 9378, 324, 829, 77, 1495, 81, 1322, 10056, 474, 3228, 96, 78, 96, 78, 96, 25, 446, 442, 1688, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1149, 81, 2242, 26, 784, 711, 203, 588, 827, 44, 1404, 967, 1682, 77, 466, 79, 1524, 1682, 5703, 7107, 328, 322, 10880, 32, 3759, 44, 1149, 77, 466, 2786, 1682, 432, 1778, 4467, 32, 1524, 584, 540, 280, 630, 32, 371, 26, 784, 32, 8200, 81, 965, 474, 3056, 104, 36, 8501, 10771, 370, 3796, 47, 784, 32, 2393, 27, 291, 442, 540, 32, 1260, 31510, 20195, 785, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1149, 81, 3963, 26, 784, 30, 1778, 81, 426, 711, 203, 588, 827, 44, 308, 466, 27, 967, 14743, 77, 466, 79, 1524, 1682, 1169, 5911, 436, 322, 2702, 1778, 7107, 328, 322, 10880, 32, 10460, 44, 1778, 81, 426, 308, 466, 711, 203, 886, 636, 432, 322, 1778, 372, 2467, 32, 886, 1778, 2298, 526, 5024, 544, 322, 10880, 436, 458, 1476, 372, 442, 1346, 2078, 32, 3759, 44, 1149, 77, 466, 2786, 1682, 432, 5911, 436, 688, 1778, 32, 1524, 584, 5911, 81, 965, 280, 630, 32, 8200, 81, 965, 474, 3056, 104, 36, 46052, 3963, 33, 668, 25, 584, 540, 280, 630, 32, 371, 26, 3963, 81, 965, 32, 1643, 26, 893, 81, 426, 471, 3796, 47, 784, 32, 2393, 27, 291, 706, 280, 540, 32, 1260, 346, 584, 415, 330, 3963, 25, 328, 706, 44, 324, 442, 29390, 26, 11939, 26, 605, 710, 3963, 7698, 584, 442, 1605, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 6042, 26, 5474, 81, 1515, 711, 203, 1524, 2019, 1628, 1476, 372, 6042, 600, 7057, 5193, 499, 753, 7057, 81, 1515, 44, 308, 2620, 1519, 372, 322, 7057, 4921, 27, 499, 601, 44, 308, 410, 27, 1524, 446, 1596, 44, 291, 7057, 81, 426, 280, 6042, 81, 5474, 81, 5999, 26, 5474, 81, 1515, 81, 983, 47, 5474, 81, 1515, 27, 284, 2940, 12184, 37, 2051, 6859, 8634, 924, 44, 291, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 291, 3124, 280, 330, 8407, 37, 2051, 6859, 8634, 924, 44, 17976, 623, 7057, 6850, 78, 96, 109, 87, 16805, 1643, 26, 87, 47, 466, 26, 327, 490, 291, 1459, 463, 2930, 44, 301, 95, 16805, 1643, 26, 95, 47, 2076, 490, 291, 442, 225, 35, 284, 1459, 463, 38677, 7057, 623, 636, 44, 301, 96, 16805, 1643, 26, 96, 47, 5474, 81, 426, 490, 284, 442, 225, 34, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1487, 26, 5474, 81, 1515, 30, 3466, 81, 1515, 711, 203, 1524, 2019, 1628, 1476, 372, 1487, 600, 7057, 8529, 499, 753, 7057, 81, 1515, 44, 308, 2620, 1519, 372, 322, 7057, 4921, 27, 499, 753, 3466, 81, 1515, 44, 308, 2620, 1519, 372, 322, 8050, 3362, 27, 499, 601, 44, 308, 410, 27, 1524, 446, 909, 280, 6042, 26, 5474, 81, 1515, 47, 5474, 81, 1515, 27, 284, 415, 909, 863, 225, 34, 44, 291, 442, 225, 35, 284, 1596, 44, 291, 7057, 81, 3969, 280, 1930, 81, 5474, 81, 3969, 26, 5474, 81, 1515, 81, 983, 47, 5474, 81, 1515, 30, 8050, 81, 5660, 47, 3316, 81, 1515, 27, 284, 2940, 15930, 13567, 12608, 924, 44, 291, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 291, 3124, 280, 330, 6859, 13567, 12608, 924, 44, 17976, 623, 7057, 8529, 10064, 78, 96, 109, 87, 16805, 1643, 26, 87, 47, 466, 26, 327, 490, 291, 1459, 463, 2930, 44, 301, 95, 16805, 1643, 26, 95, 47, 2076, 490, 291, 442, 225, 35, 284, 1459, 463, 6873, 7057, 8529, 803, 44, 301, 108, 16805, 1643, 26, 108, 47, 5474, 81, 3969, 490, 284, 442, 225, 34, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 37741, 26, 784, 711, 203, 1524, 1348, 2202, 1395, 442, 312, 1149, 432, 1169, 322, 11019, 322, 10625, 1401, 436, 322, 13798, 2467, 3377, 32, 15596, 1755, 9567, 2965, 81, 681, 461, 1244, 2803, 25144, 11246, 101, 11019, 623, 2919, 318, 541, 280, 2933, 1524, 584, 10625, 81, 314, 280, 630, 32, 5321, 1365, 8543, 81, 314 ]
[ 1446, 291, 2965, 81, 681, 280, 630, 32, 5321, 1365, 2468, 81, 681, 1446, 291, 793, 81, 288, 280, 313, 539, 81, 508, 48275, 81, 10997, 20, 328, 630, 32, 1357, 32, 1217, 81, 2132, 291, 1244, 81, 2585, 280, 313, 1536, 20, 328, 630, 32, 1357, 32, 1217, 81, 2132, 291, 415, 793, 81, 288, 44, 324, 10625, 280, 15899, 32, 5740, 32, 1613, 81, 10513, 440, 508, 48275, 81, 10997, 1895, 371, 26, 400, 804, 47, 8543, 81, 314, 324, 829, 324, 415, 10625, 32, 508, 48275, 81, 10997, 438, 646, 1665, 44, 400, 10625, 280, 10625, 32, 508, 48275, 81, 10997, 291, 813, 44, 324, 10625, 280, 15899, 32, 5740, 32, 371, 26, 314, 47, 8543, 81, 314, 27, 291, 11019, 280, 10625, 32, 371, 81, 15097, 81, 668, 26, 2468, 81, 681, 30, 1244, 81, 2585, 27, 291, 442, 428, 2438, 26, 3225, 27, 436, 8705, 328, 11019, 79, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1505, 81, 1237, 81, 1986, 26, 784, 30, 1789, 711, 203, 1524, 2140, 2330, 1789, 461, 3636, 14735, 415, 5349, 32, 499, 753, 5167, 32, 3378, 32, 1397, 1789, 44, 1326, 1789, 372, 1505, 1524, 584, 588, 1505, 1789, 291, 415, 1789, 32, 1517, 81, 687, 610, 225, 36, 34, 34, 44, 324, 442, 2933, 291, 4348, 1789, 32, 1517, 81, 687, 2377, 225, 38, 34, 34, 44, 324, 5741, 32, 731, 26, 400, 19436, 44, 2149, 429, 2149, 429, 3834, 44, 16531, 1643, 26, 528, 1789, 32, 1517, 81, 687, 30, 528, 1789, 32, 10354, 30, 528, 1789, 32, 1260, 922, 371, 440, 731, 2113, 528, 1789, 32, 1357, 32, 965, 30, 400, 829, 324, 829, 324, 442, 3177, 30, 1789, 32, 1517, 81, 687, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1505, 81, 297, 81, 6572, 26, 784, 30, 11171, 81, 466, 44, 596, 711, 203, 1524, 2140, 415, 561, 1182, 600, 439, 762, 8512, 14294, 9933, 2818, 2234, 32, 499, 753, 596, 11171, 81, 466, 44, 14294, 802, 372, 1505, 1524, 584, 588, 1505, 11171, 827, 291, 415, 646, 6937, 26, 6572, 81, 466, 30, 596, 711, 324, 3636, 12678, 27449, 6572, 81, 466, 25, 2799, 312, 596, 786, 7144, 291, 813, 44, 324, 3097, 291, 588, 2887, 439, 762, 8512, 2818, 14294, 328, 7402, 10917, 291, 415, 313, 9328, 8512, 44, 4519, 20, 328, 11171, 81, 466, 44, 324, 11171, 81, 466, 280, 313, 375, 44, 6572, 19189, 2296, 1643, 26, 6572, 81, 466, 32, 2998, 17919, 657, 6448, 35, 1130, 291, 813, 44, 324, 3097, 291, 588, 894, 561, 291, 1596, 44, 324, 12373, 280, 14294, 26, 6572, 81, 466, 27, 324, 442, 12373, 32, 6949, 610, 11171, 81, 466, 32, 3227, 10359, 392, 32375, 3227, 440, 375, 44, 6572, 9318, 7746, 291, 2940, 10091, 619, 484, 44, 324, 5741, 32, 731, 26, 400, 313, 6572, 10091, 32, 2149, 5989, 1748, 225, 769, 16531, 1643, 26, 681, 26, 6572, 81, 466, 471, 11171, 81, 466, 30, 484, 27, 324, 829, 324, 442, 3177, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1505, 81, 3176, 81, 3007, 26, 784, 30, 4878, 44, 596, 30, 8735, 81, 681, 44, 596, 711, 203, 1524, 2140, 415, 18480, 4878, 438, 1742, 432, 439, 762, 8512, 2676, 2234, 461, 32698, 623, 5035, 827, 32, 499, 753, 596, 4878, 44, 4878, 372, 1505, 32, 15622, 526, 1591, 1591, 432, 18812, 81, 18059, 69, 3879, 499, 753, 596, 8735, 81, 681, 44, 5035, 827, 32, 15622, 526, 1591, 1591, 432, 32491, 81, 15630, 1524, 584, 588, 1505, 3377, 3738, 291, 415, 646, 6937, 26, 3007, 30, 596, 711, 324, 3636, 12678, 27449, 3007, 25, 2799, 312, 596, 786, 7144, 291, 813, 44, 324, 3097, 291, 415, 646, 6937, 26, 954, 81, 681, 30, 596, 711, 324, 3636, 12678, 27449, 954, 81, 681, 25, 2799, 312, 596, 786, 7144, 291, 813, 44, 324, 3097, 291, 588, 1505, 3377, 2078, 291, 415, 4878, 646, 328, 18812, 81, 18059, 69, 44, 324, 3636, 10091, 26, 400, 5335, 2537, 25, 7735, 1330, 312, 2080, 31605, 4878, 32, 313, 400, 313, 8589, 2078, 44, 16531, 1643, 26, 3007, 30, 313, 523, 4939, 2524, 26, 14931, 81, 18059, 69, 490, 324, 829, 291, 813, 44, 324, 3097, 291, 415, 8735, 81, 681, 646, 328, 32491, 81, 15630, 44, 324, 415, 8735, 81, 681, 328, 32491, 81, 15630, 32, 2810, 2262, 400, 8735, 81, 681, 280, 630, 1114, 5954, 81, 954, 81, 681, 26, 954, 81, 681, 27, 324, 813, 44, 400, 3636, 10091, 26, 528, 5335, 2537, 25, 7735, 1330, 312, 2080, 5035, 827, 32, 313, 528, 313, 8589, 2078, 44, 16531, 1643, 26, 954, 81, 681, 30, 313, 523, 4939, 2524, 26, 13387, 81, 15630, 490, 400, 829, 291, 813, 44, 324, 3097, 291, 588, 1505, 312, 286, 9867, 4878, 33, 954, 81, 681, 291, 415, 8735, 81, 681, 646, 328, 18812, 81, 18059, 69, 32, 371, 26, 3007, 711, 324, 3636, 10091, 26, 400, 5335, 2537, 25, 225, 7735, 1330, 312, 2080, 4878, 436, 312, 17246, 2699, 5035, 3107, 400, 313, 9287, 436, 3282, 3738, 44, 2149, 35145, 1643, 26, 3007, 30, 8735, 81, 681, 30, 18812, 81, 18059, 69, 32, 371, 26, 3007, 490, 324, 829, 291, 813, 44, 324, 442, 2933, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 1553, 81, 2029, 81, 10265, 81, 954, 26, 784, 30, 2818, 81, 954, 44, 1149, 711, 203, 1524, 2140, 415, 2818, 81, 954, 3395, 438, 2080, 32, 499, 753, 1149, 2818, 81, 954, 44, 1149, 432, 2818, 5035, 14294, 372, 1505, 1524, 584, 415, 6937, 26, 10265, 81, 954, 30, 1149, 711, 324, 415 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1446, 291, 2965, 81, 681, 280, 630, 32, 5321, 1365, 2468, 81, 681, 1446, 291, 793, 81, 288, 280, 313, 539, 81, 508, 48275, 81, 10997, 20, 328, 630, 32, 1357, 32, 1217, 81, 2132, 291, 1244, 81, 2585, 280, 313, 1536, 20, 328, 630, 32, 1357, 32, 1217, 81, 2132, 291, 415, 793, 81, 288, 44, 324, 10625, 280, 15899, 32, 5740, 32, 1613, 81, 10513, 440, 508, 48275, 81, 10997, 1895, 371, 26, 400, 804, 47, 8543, 81, 314, 324, 829, 324, 415, 10625, 32, 508, 48275, 81, 10997, 438, 646, 1665, 44, 400, 10625, 280, 10625, 32, 508, 48275, 81, 10997, 291, 813, 44, 324, 10625, 280, 15899, 32, 5740, 32, 371, 26, 314, 47, 8543, 81, 314, 27, 291, 11019, 280, 10625, 32, 371, 81, 15097, 81, 668, 26, 2468, 81, 681, 30, 1244, 81, 2585, 27, 291, 442, 428, 2438, 26, 3225, 27, 436, 8705, 328, 11019, 79, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1505, 81, 1237, 81, 1986, 26, 784, 30, 1789, 711, 203, 1524, 2140, 2330, 1789, 461, 3636, 14735, 415, 5349, 32, 499, 753, 5167, 32, 3378, 32, 1397, 1789, 44, 1326, 1789, 372, 1505, 1524, 584, 588, 1505, 1789, 291, 415, 1789, 32, 1517, 81, 687, 610, 225, 36, 34, 34, 44, 324, 442, 2933, 291, 4348, 1789, 32, 1517, 81, 687, 2377, 225, 38, 34, 34, 44, 324, 5741, 32, 731, 26, 400, 19436, 44, 2149, 429, 2149, 429, 3834, 44, 16531, 1643, 26, 528, 1789, 32, 1517, 81, 687, 30, 528, 1789, 32, 10354, 30, 528, 1789, 32, 1260, 922, 371, 440, 731, 2113, 528, 1789, 32, 1357, 32, 965, 30, 400, 829, 324, 829, 324, 442, 3177, 30, 1789, 32, 1517, 81, 687, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1505, 81, 297, 81, 6572, 26, 784, 30, 11171, 81, 466, 44, 596, 711, 203, 1524, 2140, 415, 561, 1182, 600, 439, 762, 8512, 14294, 9933, 2818, 2234, 32, 499, 753, 596, 11171, 81, 466, 44, 14294, 802, 372, 1505, 1524, 584, 588, 1505, 11171, 827, 291, 415, 646, 6937, 26, 6572, 81, 466, 30, 596, 711, 324, 3636, 12678, 27449, 6572, 81, 466, 25, 2799, 312, 596, 786, 7144, 291, 813, 44, 324, 3097, 291, 588, 2887, 439, 762, 8512, 2818, 14294, 328, 7402, 10917, 291, 415, 313, 9328, 8512, 44, 4519, 20, 328, 11171, 81, 466, 44, 324, 11171, 81, 466, 280, 313, 375, 44, 6572, 19189, 2296, 1643, 26, 6572, 81, 466, 32, 2998, 17919, 657, 6448, 35, 1130, 291, 813, 44, 324, 3097, 291, 588, 894, 561, 291, 1596, 44, 324, 12373, 280, 14294, 26, 6572, 81, 466, 27, 324, 442, 12373, 32, 6949, 610, 11171, 81, 466, 32, 3227, 10359, 392, 32375, 3227, 440, 375, 44, 6572, 9318, 7746, 291, 2940, 10091, 619, 484, 44, 324, 5741, 32, 731, 26, 400, 313, 6572, 10091, 32, 2149, 5989, 1748, 225, 769, 16531, 1643, 26, 681, 26, 6572, 81, 466, 471, 11171, 81, 466, 30, 484, 27, 324, 829, 324, 442, 3177, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1505, 81, 3176, 81, 3007, 26, 784, 30, 4878, 44, 596, 30, 8735, 81, 681, 44, 596, 711, 203, 1524, 2140, 415, 18480, 4878, 438, 1742, 432, 439, 762, 8512, 2676, 2234, 461, 32698, 623, 5035, 827, 32, 499, 753, 596, 4878, 44, 4878, 372, 1505, 32, 15622, 526, 1591, 1591, 432, 18812, 81, 18059, 69, 3879, 499, 753, 596, 8735, 81, 681, 44, 5035, 827, 32, 15622, 526, 1591, 1591, 432, 32491, 81, 15630, 1524, 584, 588, 1505, 3377, 3738, 291, 415, 646, 6937, 26, 3007, 30, 596, 711, 324, 3636, 12678, 27449, 3007, 25, 2799, 312, 596, 786, 7144, 291, 813, 44, 324, 3097, 291, 415, 646, 6937, 26, 954, 81, 681, 30, 596, 711, 324, 3636, 12678, 27449, 954, 81, 681, 25, 2799, 312, 596, 786, 7144, 291, 813, 44, 324, 3097, 291, 588, 1505, 3377, 2078, 291, 415, 4878, 646, 328, 18812, 81, 18059, 69, 44, 324, 3636, 10091, 26, 400, 5335, 2537, 25, 7735, 1330, 312, 2080, 31605, 4878, 32, 313, 400, 313, 8589, 2078, 44, 16531, 1643, 26, 3007, 30, 313, 523, 4939, 2524, 26, 14931, 81, 18059, 69, 490, 324, 829, 291, 813, 44, 324, 3097, 291, 415, 8735, 81, 681, 646, 328, 32491, 81, 15630, 44, 324, 415, 8735, 81, 681, 328, 32491, 81, 15630, 32, 2810, 2262, 400, 8735, 81, 681, 280, 630, 1114, 5954, 81, 954, 81, 681, 26, 954, 81, 681, 27, 324, 813, 44, 400, 3636, 10091, 26, 528, 5335, 2537, 25, 7735, 1330, 312, 2080, 5035, 827, 32, 313, 528, 313, 8589, 2078, 44, 16531, 1643, 26, 954, 81, 681, 30, 313, 523, 4939, 2524, 26, 13387, 81, 15630, 490, 400, 829, 291, 813, 44, 324, 3097, 291, 588, 1505, 312, 286, 9867, 4878, 33, 954, 81, 681, 291, 415, 8735, 81, 681, 646, 328, 18812, 81, 18059, 69, 32, 371, 26, 3007, 711, 324, 3636, 10091, 26, 400, 5335, 2537, 25, 225, 7735, 1330, 312, 2080, 4878, 436, 312, 17246, 2699, 5035, 3107, 400, 313, 9287, 436, 3282, 3738, 44, 2149, 35145, 1643, 26, 3007, 30, 8735, 81, 681, 30, 18812, 81, 18059, 69, 32, 371, 26, 3007, 490, 324, 829, 291, 813, 44, 324, 442, 2933, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 1553, 81, 2029, 81, 10265, 81, 954, 26, 784, 30, 2818, 81, 954, 44, 1149, 711, 203, 1524, 2140, 415, 2818, 81, 954, 3395, 438, 2080, 32, 499, 753, 1149, 2818, 81, 954, 44, 1149, 432, 2818, 5035, 14294, 372, 1505, 1524, 584, 415, 6937, 26, 10265, 81, 954, 30, 1149, 711, 324, 415 ]
[ 2069, 26, 10265, 81, 954, 27, 848, 225, 34, 44, 400, 588, 11056, 14294, 101, 461, 4726, 299, 6658, 11668, 400, 436, 8735, 328, 2818, 81, 954, 44, 528, 415, 646, 630, 32, 1553, 81, 297, 81, 6572, 26, 954, 711, 715, 2818, 81, 954, 32, 2546, 26, 954, 27, 715, 5741, 32, 731, 440, 4097, 14294, 438, 646, 3809, 44, 16531, 1643, 26, 954, 490, 400, 588, 46045, 6178, 27416, 1734, 400, 2818, 81, 954, 280, 3003, 2296, 2524, 26, 10265, 81, 954, 27, 324, 813, 44, 400, 2818, 81, 954, 280, 3330, 291, 813, 44, 324, 3636, 12678, 27449, 10265, 81, 954, 25, 23119, 312, 1149, 657, 291, 442, 2818, 81, 954, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 1553, 81, 2029, 81, 10265, 81, 2142, 26, 784, 30, 2818, 81, 2142, 44, 1149, 711, 203, 1524, 2140, 415, 2818, 81, 2142, 3395, 438, 2080, 32, 499, 753, 1149, 2818, 81, 2142, 44, 1149, 432, 2818, 2604, 372, 1505, 1524, 584, 415, 6937, 26, 10265, 81, 2142, 30, 1149, 711, 324, 415, 2069, 26, 10265, 81, 2142, 27, 848, 225, 34, 44, 400, 2818, 81, 2142, 280, 3003, 2296, 2524, 26, 10265, 81, 2142, 27, 324, 813, 44, 400, 2818, 81, 2142, 280, 3330, 291, 813, 44, 324, 3636, 12678, 27449, 10265, 81, 2142, 25, 23119, 312, 1149, 657, 291, 442, 2818, 81, 2142, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1503, 81, 4538, 26, 2095, 30, 7611, 3308, 504, 711, 203, 588, 827, 44, 308, 2942, 32, 1222, 30, 1560, 27, 967, 1665, 1524, 7914, 2074, 1503, 32, 9806, 1361, 6350, 32, 2616, 458, 2016, 372, 1389, 844, 2298, 6377, 2154, 322, 2074, 1503, 438, 7107, 32, 2448, 883, 745, 688, 623, 1503, 81, 761, 3570, 2677, 32, 298, 13166, 774, 9567, 4609, 13563, 372, 2968, 322, 2074, 1503, 32, 11569, 2464, 844, 883, 2968, 561, 328, 312, 4262, 803, 1471, 6895, 31, 266, 1156, 1648, 505, 2677, 32, 2448, 883, 793, 1541, 32, 754, 2652, 32, 1260, 461, 4986, 322, 1503, 2017, 556, 844, 883, 2258, 793, 312, 14917, 1344, 803, 688, 2258, 16430, 322, 5081, 2074, 1503, 32, 886, 9136, 4759, 438, 37615, 1246, 4122, 544, 322, 803, 827, 461, 636, 32, 5938, 8145, 403, 1503, 81, 761, 44, 330, 1617, 33, 1772, 1320, 22895, 1664, 9818, 978, 25, 15950, 44, 766, 84, 398, 298, 13166, 774, 1503, 588, 38046, 1459, 1550, 1503, 398, 298, 13166, 774, 1503, 769, 5981, 3308, 504, 588, 9194, 1503, 619, 5081, 802, 398, 298, 13166, 774, 1503, 17413, 7841, 588, 38257, 7841, 1503, 2577, 398, 298, 13166, 774, 1503, 17413, 14887, 588, 38257, 14887, 1503, 2577, 398, 298, 13166, 774, 1503, 17413, 12350, 588, 38257, 12350, 1503, 2577, 398, 298, 13166, 774, 1503, 17413, 3621, 588, 2432, 619, 1503, 17413, 7841, 398, 298, 13166, 774, 1503, 17413, 769, 16925, 47, 35, 32, 36, 32, 35, 588, 1756, 2074, 1503, 372, 225, 35, 32, 36, 32, 35, 1524, 446, 415, 3692, 32, 5817, 20097, 81, 1113, 2501, 44, 291, 442, 446, 645, 298, 13166, 774, 32, 1262, 1188, 1245, 284, 645, 298, 13166, 774, 32, 1262, 1188, 39528, 446, 1550, 280, 39528, 32, 1700, 346, 446, 415, 7611, 3308, 504, 44, 291, 1459, 26, 1700, 27, 284, 813, 44, 291, 1245, 32, 1338, 440, 2062, 44, 333, 37, 39, 48, 40637, 1643, 26, 1700, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 17413, 81, 1648, 26, 2292, 1057, 2675, 370, 7153, 47, 2521, 711, 203, 588, 827, 44, 308, 466, 30, 596, 27, 967, 1665, 1524, 38257, 1550, 2074, 1503, 2876, 4583, 1054, 7991, 32, 3139, 5911, 884, 3272, 3154, 32, 15950, 44, 766, 84, 398, 298, 13166, 774, 1503, 17413, 7841, 588, 38257, 7841, 1503, 2577, 398, 298, 13166, 774, 1503, 17413, 14887, 588, 38257, 14887, 1503, 2577, 398, 298, 13166, 774, 1503, 17413, 12350, 588, 38257, 12350, 1503, 2577, 398, 298, 13166, 774, 1503, 17413, 3621, 588, 2432, 619, 1503, 17413, 7841, 398, 298, 13166, 774, 1503, 17413, 769, 16925, 47, 35, 32, 36, 32, 35, 588, 1756, 2074, 1503, 372, 225, 35, 32, 36, 32, 35, 1524, 446, 645, 298, 13166, 774, 32, 1262, 1188, 1245, 284, 645, 298, 13166, 774, 32, 1262, 1188, 39528, 446, 3610, 81, 424, 30, 537, 81, 424, 280, 39528, 32, 28112, 26, 2292, 30, 7153, 27, 446, 1245, 32, 1338, 440, 3196, 1503, 17413, 318, 657, 284, 1245, 32, 1338, 440, 225, 3610, 1503, 44, 333, 37, 39, 48, 40637, 1643, 26, 1455, 81, 424, 490, 284, 1245, 32, 1338, 440, 225, 537, 1503, 44, 333, 37, 39, 48, 40637, 1643, 26, 890, 81, 424, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 371, 26, 784, 30, 8814, 81, 314, 47, 2521, 30, 17135, 47, 2521, 711, 203, 1524, 506, 27277, 312, 3627, 810, 322, 3627, 1182, 2484, 556, 17135, 81, 7895, 32, 34904, 44, 529, 48360, 978, 32, 3378, 32, 3157, 5965, 6083, 399, 3627, 3065, 646, 526, 2431, 32, 1524, 584, 415, 8814, 81, 314, 44, 324, 630, 32, 4133, 81, 965, 280, 630, 3667, 823, 9818, 371, 81, 4133, 81, 965, 26, 4875, 81, 314, 27, 324, 630, 32, 2811, 81, 4073, 32, 2811, 440, 2788, 2149, 3627, 623, 2484, 2149, 44, 16531, 1643, 26, 784, 3667, 823, 29215, 426, 7642, 8814, 81, 314, 30, 630, 32, 4133, 81, 965, 490, 324, 1789, 280, 5167, 32, 371, 26, 965, 47, 784, 32, 4133, 81, 965, 30, 4826, 47, 37220, 30, 6144, 47, 2700, 27, 324, 415, 646, 1789, 32, 1253, 461, 1789, 32, 1517, 81, 687, 610, 5167, 32, 7787, 32, 3908, 81, 13195 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2069, 26, 10265, 81, 954, 27, 848, 225, 34, 44, 400, 588, 11056, 14294, 101, 461, 4726, 299, 6658, 11668, 400, 436, 8735, 328, 2818, 81, 954, 44, 528, 415, 646, 630, 32, 1553, 81, 297, 81, 6572, 26, 954, 711, 715, 2818, 81, 954, 32, 2546, 26, 954, 27, 715, 5741, 32, 731, 440, 4097, 14294, 438, 646, 3809, 44, 16531, 1643, 26, 954, 490, 400, 588, 46045, 6178, 27416, 1734, 400, 2818, 81, 954, 280, 3003, 2296, 2524, 26, 10265, 81, 954, 27, 324, 813, 44, 400, 2818, 81, 954, 280, 3330, 291, 813, 44, 324, 3636, 12678, 27449, 10265, 81, 954, 25, 23119, 312, 1149, 657, 291, 442, 2818, 81, 954, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 1553, 81, 2029, 81, 10265, 81, 2142, 26, 784, 30, 2818, 81, 2142, 44, 1149, 711, 203, 1524, 2140, 415, 2818, 81, 2142, 3395, 438, 2080, 32, 499, 753, 1149, 2818, 81, 2142, 44, 1149, 432, 2818, 2604, 372, 1505, 1524, 584, 415, 6937, 26, 10265, 81, 2142, 30, 1149, 711, 324, 415, 2069, 26, 10265, 81, 2142, 27, 848, 225, 34, 44, 400, 2818, 81, 2142, 280, 3003, 2296, 2524, 26, 10265, 81, 2142, 27, 324, 813, 44, 400, 2818, 81, 2142, 280, 3330, 291, 813, 44, 324, 3636, 12678, 27449, 10265, 81, 2142, 25, 23119, 312, 1149, 657, 291, 442, 2818, 81, 2142, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1503, 81, 4538, 26, 2095, 30, 7611, 3308, 504, 711, 203, 588, 827, 44, 308, 2942, 32, 1222, 30, 1560, 27, 967, 1665, 1524, 7914, 2074, 1503, 32, 9806, 1361, 6350, 32, 2616, 458, 2016, 372, 1389, 844, 2298, 6377, 2154, 322, 2074, 1503, 438, 7107, 32, 2448, 883, 745, 688, 623, 1503, 81, 761, 3570, 2677, 32, 298, 13166, 774, 9567, 4609, 13563, 372, 2968, 322, 2074, 1503, 32, 11569, 2464, 844, 883, 2968, 561, 328, 312, 4262, 803, 1471, 6895, 31, 266, 1156, 1648, 505, 2677, 32, 2448, 883, 793, 1541, 32, 754, 2652, 32, 1260, 461, 4986, 322, 1503, 2017, 556, 844, 883, 2258, 793, 312, 14917, 1344, 803, 688, 2258, 16430, 322, 5081, 2074, 1503, 32, 886, 9136, 4759, 438, 37615, 1246, 4122, 544, 322, 803, 827, 461, 636, 32, 5938, 8145, 403, 1503, 81, 761, 44, 330, 1617, 33, 1772, 1320, 22895, 1664, 9818, 978, 25, 15950, 44, 766, 84, 398, 298, 13166, 774, 1503, 588, 38046, 1459, 1550, 1503, 398, 298, 13166, 774, 1503, 769, 5981, 3308, 504, 588, 9194, 1503, 619, 5081, 802, 398, 298, 13166, 774, 1503, 17413, 7841, 588, 38257, 7841, 1503, 2577, 398, 298, 13166, 774, 1503, 17413, 14887, 588, 38257, 14887, 1503, 2577, 398, 298, 13166, 774, 1503, 17413, 12350, 588, 38257, 12350, 1503, 2577, 398, 298, 13166, 774, 1503, 17413, 3621, 588, 2432, 619, 1503, 17413, 7841, 398, 298, 13166, 774, 1503, 17413, 769, 16925, 47, 35, 32, 36, 32, 35, 588, 1756, 2074, 1503, 372, 225, 35, 32, 36, 32, 35, 1524, 446, 415, 3692, 32, 5817, 20097, 81, 1113, 2501, 44, 291, 442, 446, 645, 298, 13166, 774, 32, 1262, 1188, 1245, 284, 645, 298, 13166, 774, 32, 1262, 1188, 39528, 446, 1550, 280, 39528, 32, 1700, 346, 446, 415, 7611, 3308, 504, 44, 291, 1459, 26, 1700, 27, 284, 813, 44, 291, 1245, 32, 1338, 440, 2062, 44, 333, 37, 39, 48, 40637, 1643, 26, 1700, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 17413, 81, 1648, 26, 2292, 1057, 2675, 370, 7153, 47, 2521, 711, 203, 588, 827, 44, 308, 466, 30, 596, 27, 967, 1665, 1524, 38257, 1550, 2074, 1503, 2876, 4583, 1054, 7991, 32, 3139, 5911, 884, 3272, 3154, 32, 15950, 44, 766, 84, 398, 298, 13166, 774, 1503, 17413, 7841, 588, 38257, 7841, 1503, 2577, 398, 298, 13166, 774, 1503, 17413, 14887, 588, 38257, 14887, 1503, 2577, 398, 298, 13166, 774, 1503, 17413, 12350, 588, 38257, 12350, 1503, 2577, 398, 298, 13166, 774, 1503, 17413, 3621, 588, 2432, 619, 1503, 17413, 7841, 398, 298, 13166, 774, 1503, 17413, 769, 16925, 47, 35, 32, 36, 32, 35, 588, 1756, 2074, 1503, 372, 225, 35, 32, 36, 32, 35, 1524, 446, 645, 298, 13166, 774, 32, 1262, 1188, 1245, 284, 645, 298, 13166, 774, 32, 1262, 1188, 39528, 446, 3610, 81, 424, 30, 537, 81, 424, 280, 39528, 32, 28112, 26, 2292, 30, 7153, 27, 446, 1245, 32, 1338, 440, 3196, 1503, 17413, 318, 657, 284, 1245, 32, 1338, 440, 225, 3610, 1503, 44, 333, 37, 39, 48, 40637, 1643, 26, 1455, 81, 424, 490, 284, 1245, 32, 1338, 440, 225, 537, 1503, 44, 333, 37, 39, 48, 40637, 1643, 26, 890, 81, 424, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 371, 26, 784, 30, 8814, 81, 314, 47, 2521, 30, 17135, 47, 2521, 711, 203, 1524, 506, 27277, 312, 3627, 810, 322, 3627, 1182, 2484, 556, 17135, 81, 7895, 32, 34904, 44, 529, 48360, 978, 32, 3378, 32, 3157, 5965, 6083, 399, 3627, 3065, 646, 526, 2431, 32, 1524, 584, 415, 8814, 81, 314, 44, 324, 630, 32, 4133, 81, 965, 280, 630, 3667, 823, 9818, 371, 81, 4133, 81, 965, 26, 4875, 81, 314, 27, 324, 630, 32, 2811, 81, 4073, 32, 2811, 440, 2788, 2149, 3627, 623, 2484, 2149, 44, 16531, 1643, 26, 784, 3667, 823, 29215, 426, 7642, 8814, 81, 314, 30, 630, 32, 4133, 81, 965, 490, 324, 1789, 280, 5167, 32, 371, 26, 965, 47, 784, 32, 4133, 81, 965, 30, 4826, 47, 37220, 30, 6144, 47, 2700, 27, 324, 415, 646, 1789, 32, 1253, 461, 1789, 32, 1517, 81, 687, 610, 5167, 32, 7787, 32, 3908, 81, 13195 ]
[ 44, 400, 3636, 9803, 5965, 440, 3192, 436, 2149, 3627, 623, 2484, 30267, 4717, 1289, 3276, 35145, 1643, 26, 784, 3667, 823, 29215, 426, 7642, 8814, 81, 314, 490, 324, 630, 32, 1821, 81, 1986, 81, 916, 81, 452, 81, 761, 26, 1986, 2360, 371, 81, 23239, 32, 916, 657, 324, 1789, 32, 13225, 81, 979, 81, 1517, 346, 324, 442, 1789, 32, 1260, 346, 291, 4348, 17135, 44, 324, 8814, 81, 1260, 280, 630, 3667, 823, 9818, 1809, 81, 1170, 15520, 23782, 81, 7895, 563, 17135, 835, 1205, 47, 1815, 27, 324, 630, 32, 4133, 81, 965, 280, 630, 3667, 823, 9818, 371, 81, 4133, 81, 965, 26, 4875, 81, 1260, 1365, 314, 6890, 291, 442, 8814, 81, 1260, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 7084, 81, 426, 81, 1793, 81, 314, 26, 6933, 30, 636, 711, 203, 1524, 12781, 372, 7084, 312, 19367, 1202, 4121, 1471, 312, 636, 623, 600, 2484, 32, 30915, 810, 20286, 322, 3627, 328, 447, 338, 20560, 461, 23119, 372, 2290, 11114, 1591, 8977, 32, 8819, 30, 1098, 1505, 415, 322, 19367, 1202, 4121, 438, 600, 4991, 786, 461, 415, 1259, 30, 3217, 688, 619, 561, 438, 9952, 11564, 372, 526, 322, 19367, 1202, 32, 34904, 44, 529, 48360, 978, 32, 11539, 81, 2304, 32, 11726, 26750, 984, 6083, 21138, 24173, 4528, 4717, 645, 322, 636, 3233, 32, 529, 48360, 978, 32, 3378, 32, 3157, 5965, 6083, 3139, 3276, 4528, 16500, 645, 322, 636, 3233, 32, 1524, 584, 1596, 44, 324, 629, 26, 426, 27, 324, 442, 636, 588, 16379, 312, 9952, 11564, 2484, 32, 291, 2940, 10091, 44, 324, 3097, 291, 588, 1337, 600, 629, 30, 1259, 8762, 312, 16579, 432, 40087, 81, 1319, 4758, 461, 24991, 3891, 30, 595, 32, 87, 32, 551, 31, 42, 32, 291, 415, 636, 32, 2998, 10359, 16050, 34, 79, 328, 11985, 1114, 14483, 81, 1319, 20793, 5767, 44, 324, 442, 629, 26, 426, 32, 2998, 10359, 392, 225, 35, 5594, 35, 1130, 291, 1596, 44, 324, 1056, 280, 9011, 32, 940, 32, 371, 81, 4133, 81, 1170, 81, 426, 26, 6933, 32, 940, 81, 9193, 81, 2474, 30, 636, 27, 324, 415, 1056, 44, 400, 442, 1056, 1365, 314, 1446, 291, 2940, 19811, 20560, 978, 32, 11539, 81, 2304, 32, 11726, 26750, 984, 619, 484, 44, 324, 3636, 291, 3636, 9803, 5965, 440, 558, 30267, 436, 1542, 30267, 646, 2431, 35145, 1643, 26, 426, 30, 9011, 3667, 426, 28154, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3066, 26, 784, 711, 203, 1524, 37063, 322, 3627, 32, 1524, 584, 736, 280, 5167, 32, 2560, 26, 965, 47, 784, 32, 4133, 81, 965, 30, 4826, 47, 37220, 30, 6144, 47, 2700, 27, 291, 588, 784, 32, 1821, 81, 1986, 81, 916, 81, 452, 81, 761, 26, 575, 2360, 23239, 81, 2560, 32, 916, 657, 291, 415, 736, 32, 1517, 81, 687, 610, 225, 36, 34, 38, 44, 324, 588, 2023, 1795, 32, 5477, 1330, 2908, 2361, 44, 324, 442, 2149, 291, 442, 736, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 81, 1170, 26, 6933, 30, 5797, 30, 1205, 47, 2700, 711, 203, 1524, 358, 1928, 2907, 322, 1542, 328, 7000, 810, 3114, 46045, 322, 2467, 3377, 32, 34818, 312, 20576, 107, 3352, 432, 9696, 436, 312, 3627, 1471, 312, 1411, 810, 322, 2432, 636, 461, 13256, 328, 322, 2467, 619, 312, 5436, 32, 619, 4487, 32, 9287, 322, 1932, 8977, 438, 4717, 30, 461, 2017, 438, 1289, 8409, 19404, 3191, 328, 322, 2145, 31, 2671, 2330, 1411, 32, 10460, 44, 5797, 44, 529, 2665, 2541, 886, 5414, 432, 312, 3627, 372, 21432, 322, 3233, 372, 32, 1205, 44, 529, 2420, 2541, 2933, 6058, 372, 3636, 312, 529, 48360, 978, 32, 3378, 32, 3157, 5965, 82, 3756, 415, 1289, 3627, 438, 2431, 32, 3759, 44, 529, 2665, 6083, 886, 3398, 22687, 432, 322, 3627, 30, 415, 1346, 30, 2431, 810, 322, 2330, 1476, 32, 529, 2521, 6083, 1670, 322, 2330, 1476, 4142, 566, 25, 442, 1346, 3276, 32, 34904, 44, 529, 48360, 978, 32, 3378, 32, 3157, 5965, 6083, 3139, 9212, 4528, 2431, 30, 461, 322, 529, 1981, 82, 3395, 438, 2933, 32, 1524, 584, 415, 646, 6937, 26, 6263, 30, 5436, 711, 324, 3636, 10091, 440, 1318, 330, 6263, 25, 3395, 2298, 526, 3943, 312, 9473, 1300, 7144, 291, 1984, 280, 2322, 32, 983, 32, 2524, 26, 6933, 32, 2413, 30, 313, 1809, 81, 1170, 657, 291, 5797, 280, 3447, 1809, 81, 1170, 563, 5797, 111, 291, 9011, 32, 2811, 81, 4073, 32, 2811, 440, 47648, 447, 338, 20560, 2149, 436, 16531, 1643, 26, 6933, 3667, 426, 7642, 2361, 32, 16958, 26, 6263, 30, 10525, 47, 38, 2610, 291, 736, 280, 5167, 32, 1526, 26, 965, 47, 965, 30, 2361, 47, 6263, 30, 4826, 47, 37220, 30, 6144, 47, 2700, 27, 291, 588, 6933, 32, 1821, 81, 1986, 81, 916, 81, 452, 81, 761, 26, 575, 2360, 23239, 32, 916, 657, 291, 736, 32, 13225, 81, 979, 81, 1517, 346, 291, 736, 81, 1260, 280, 736, 32, 1260, 346, 291, 415, 736, 81, 1260, 44, 2607, 1596, 44, 3083, 736, 81, 1260, 280, 736, 81, 1260, 77, 6933, 32, 14483, 81, 2474, 79, 2607, 2940, 25085, 44, 3083, 588, 3891, 7606, 1330, 526, 5024, 415, 2017, 7735, 1330, 312, 16614, 436, 561, 544, 322, 2145, 32, 3083, 3097, 291, 813, 44, 324, 415, 1205, 44, 400, 3636, 9803, 5965, 440, 4445, 1330, 2290, 1346, 2149, 9212, 623, 3233, 15261, 44, 17246, 2473, 2296, 1643, 26, 6933, 3667, 426, 7642, 5797, 490, 291, 442, 736, 81, 1260, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 44, 400, 3636, 9803, 5965, 440, 3192, 436, 2149, 3627, 623, 2484, 30267, 4717, 1289, 3276, 35145, 1643, 26, 784, 3667, 823, 29215, 426, 7642, 8814, 81, 314, 490, 324, 630, 32, 1821, 81, 1986, 81, 916, 81, 452, 81, 761, 26, 1986, 2360, 371, 81, 23239, 32, 916, 657, 324, 1789, 32, 13225, 81, 979, 81, 1517, 346, 324, 442, 1789, 32, 1260, 346, 291, 4348, 17135, 44, 324, 8814, 81, 1260, 280, 630, 3667, 823, 9818, 1809, 81, 1170, 15520, 23782, 81, 7895, 563, 17135, 835, 1205, 47, 1815, 27, 324, 630, 32, 4133, 81, 965, 280, 630, 3667, 823, 9818, 371, 81, 4133, 81, 965, 26, 4875, 81, 1260, 1365, 314, 6890, 291, 442, 8814, 81, 1260, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 7084, 81, 426, 81, 1793, 81, 314, 26, 6933, 30, 636, 711, 203, 1524, 12781, 372, 7084, 312, 19367, 1202, 4121, 1471, 312, 636, 623, 600, 2484, 32, 30915, 810, 20286, 322, 3627, 328, 447, 338, 20560, 461, 23119, 372, 2290, 11114, 1591, 8977, 32, 8819, 30, 1098, 1505, 415, 322, 19367, 1202, 4121, 438, 600, 4991, 786, 461, 415, 1259, 30, 3217, 688, 619, 561, 438, 9952, 11564, 372, 526, 322, 19367, 1202, 32, 34904, 44, 529, 48360, 978, 32, 11539, 81, 2304, 32, 11726, 26750, 984, 6083, 21138, 24173, 4528, 4717, 645, 322, 636, 3233, 32, 529, 48360, 978, 32, 3378, 32, 3157, 5965, 6083, 3139, 3276, 4528, 16500, 645, 322, 636, 3233, 32, 1524, 584, 1596, 44, 324, 629, 26, 426, 27, 324, 442, 636, 588, 16379, 312, 9952, 11564, 2484, 32, 291, 2940, 10091, 44, 324, 3097, 291, 588, 1337, 600, 629, 30, 1259, 8762, 312, 16579, 432, 40087, 81, 1319, 4758, 461, 24991, 3891, 30, 595, 32, 87, 32, 551, 31, 42, 32, 291, 415, 636, 32, 2998, 10359, 16050, 34, 79, 328, 11985, 1114, 14483, 81, 1319, 20793, 5767, 44, 324, 442, 629, 26, 426, 32, 2998, 10359, 392, 225, 35, 5594, 35, 1130, 291, 1596, 44, 324, 1056, 280, 9011, 32, 940, 32, 371, 81, 4133, 81, 1170, 81, 426, 26, 6933, 32, 940, 81, 9193, 81, 2474, 30, 636, 27, 324, 415, 1056, 44, 400, 442, 1056, 1365, 314, 1446, 291, 2940, 19811, 20560, 978, 32, 11539, 81, 2304, 32, 11726, 26750, 984, 619, 484, 44, 324, 3636, 291, 3636, 9803, 5965, 440, 558, 30267, 436, 1542, 30267, 646, 2431, 35145, 1643, 26, 426, 30, 9011, 3667, 426, 28154, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3066, 26, 784, 711, 203, 1524, 37063, 322, 3627, 32, 1524, 584, 736, 280, 5167, 32, 2560, 26, 965, 47, 784, 32, 4133, 81, 965, 30, 4826, 47, 37220, 30, 6144, 47, 2700, 27, 291, 588, 784, 32, 1821, 81, 1986, 81, 916, 81, 452, 81, 761, 26, 575, 2360, 23239, 81, 2560, 32, 916, 657, 291, 415, 736, 32, 1517, 81, 687, 610, 225, 36, 34, 38, 44, 324, 588, 2023, 1795, 32, 5477, 1330, 2908, 2361, 44, 324, 442, 2149, 291, 442, 736, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2290, 81, 1170, 26, 6933, 30, 5797, 30, 1205, 47, 2700, 711, 203, 1524, 358, 1928, 2907, 322, 1542, 328, 7000, 810, 3114, 46045, 322, 2467, 3377, 32, 34818, 312, 20576, 107, 3352, 432, 9696, 436, 312, 3627, 1471, 312, 1411, 810, 322, 2432, 636, 461, 13256, 328, 322, 2467, 619, 312, 5436, 32, 619, 4487, 32, 9287, 322, 1932, 8977, 438, 4717, 30, 461, 2017, 438, 1289, 8409, 19404, 3191, 328, 322, 2145, 31, 2671, 2330, 1411, 32, 10460, 44, 5797, 44, 529, 2665, 2541, 886, 5414, 432, 312, 3627, 372, 21432, 322, 3233, 372, 32, 1205, 44, 529, 2420, 2541, 2933, 6058, 372, 3636, 312, 529, 48360, 978, 32, 3378, 32, 3157, 5965, 82, 3756, 415, 1289, 3627, 438, 2431, 32, 3759, 44, 529, 2665, 6083, 886, 3398, 22687, 432, 322, 3627, 30, 415, 1346, 30, 2431, 810, 322, 2330, 1476, 32, 529, 2521, 6083, 1670, 322, 2330, 1476, 4142, 566, 25, 442, 1346, 3276, 32, 34904, 44, 529, 48360, 978, 32, 3378, 32, 3157, 5965, 6083, 3139, 9212, 4528, 2431, 30, 461, 322, 529, 1981, 82, 3395, 438, 2933, 32, 1524, 584, 415, 646, 6937, 26, 6263, 30, 5436, 711, 324, 3636, 10091, 440, 1318, 330, 6263, 25, 3395, 2298, 526, 3943, 312, 9473, 1300, 7144, 291, 1984, 280, 2322, 32, 983, 32, 2524, 26, 6933, 32, 2413, 30, 313, 1809, 81, 1170, 657, 291, 5797, 280, 3447, 1809, 81, 1170, 563, 5797, 111, 291, 9011, 32, 2811, 81, 4073, 32, 2811, 440, 47648, 447, 338, 20560, 2149, 436, 16531, 1643, 26, 6933, 3667, 426, 7642, 2361, 32, 16958, 26, 6263, 30, 10525, 47, 38, 2610, 291, 736, 280, 5167, 32, 1526, 26, 965, 47, 965, 30, 2361, 47, 6263, 30, 4826, 47, 37220, 30, 6144, 47, 2700, 27, 291, 588, 6933, 32, 1821, 81, 1986, 81, 916, 81, 452, 81, 761, 26, 575, 2360, 23239, 32, 916, 657, 291, 736, 32, 13225, 81, 979, 81, 1517, 346, 291, 736, 81, 1260, 280, 736, 32, 1260, 346, 291, 415, 736, 81, 1260, 44, 2607, 1596, 44, 3083, 736, 81, 1260, 280, 736, 81, 1260, 77, 6933, 32, 14483, 81, 2474, 79, 2607, 2940, 25085, 44, 3083, 588, 3891, 7606, 1330, 526, 5024, 415, 2017, 7735, 1330, 312, 16614, 436, 561, 544, 322, 2145, 32, 3083, 3097, 291, 813, 44, 324, 415, 1205, 44, 400, 3636, 9803, 5965, 440, 4445, 1330, 2290, 1346, 2149, 9212, 623, 3233, 15261, 44, 17246, 2473, 2296, 1643, 26, 6933, 3667, 426, 7642, 5797, 490, 291, 442, 736, 81, 1260, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44 ]
[ 203, 665, 2290, 81, 1170, 81, 271, 26, 6933, 30, 5797, 711, 203, 1524, 358, 1928, 2907, 322, 1542, 328, 7000, 810, 1878, 46045, 322, 2467, 3377, 32, 34818, 312, 20576, 107, 3352, 432, 9696, 436, 312, 3627, 1471, 312, 1411, 810, 322, 2432, 636, 461, 13256, 328, 322, 2467, 619, 312, 802, 308, 979, 322, 1878, 4134, 46045, 372, 526, 3191, 547, 9287, 322, 1932, 8977, 438, 4717, 30, 461, 2017, 438, 646, 8409, 19404, 3191, 328, 322, 2145, 31, 2671, 2330, 1411, 32, 10460, 44, 5797, 44, 529, 2665, 2541, 886, 5414, 432, 312, 3627, 372, 3233, 436, 810, 1471, 1878, 4134, 46045, 436, 2504, 2467, 3395, 32, 3759, 44, 529, 2665, 6083, 886, 3398, 22687, 432, 322, 3627, 30, 415, 1346, 30, 2431, 810, 322, 2330, 1476, 32, 529, 2521, 6083, 1670, 322, 2330, 1476, 4142, 566, 25, 442, 1346, 3276, 32, 1524, 584, 415, 646, 6937, 26, 6263, 30, 5436, 711, 324, 3636, 10091, 440, 1318, 330, 6263, 25, 3395, 2298, 526, 3943, 312, 9473, 1300, 7144, 291, 1984, 280, 2322, 32, 983, 32, 2524, 26, 6933, 32, 2413, 30, 313, 1809, 81, 1170, 81, 271, 657, 291, 5797, 280, 3447, 1809, 81, 1170, 81, 271, 563, 5797, 111, 291, 9011, 32, 2811, 81, 4073, 32, 2811, 440, 47648, 447, 338, 20560, 2149, 436, 16531, 1643, 26, 6933, 3667, 426, 7642, 2361, 32, 16958, 26, 6263, 30, 10525, 47, 38, 2610, 291, 736, 280, 5167, 32, 1526, 26, 965, 47, 965, 30, 2361, 47, 6263, 30, 4826, 47, 37220, 30, 6144, 47, 2700, 27, 291, 9011, 32, 1821, 81, 1986, 81, 916, 81, 452, 81, 761, 26, 575, 2360, 23239, 32, 916, 657, 291, 415, 736, 44, 2607, 1596, 44, 3083, 736, 280, 736, 77, 6933, 32, 14483, 81, 2474, 79, 2607, 2940, 25085, 44, 3083, 588, 3891, 7606, 1330, 526, 5024, 415, 2017, 7735, 1330, 312, 16614, 436, 561, 544, 322, 2145, 32, 3083, 3097, 291, 442, 736, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1650, 26, 6933, 711, 203, 1524, 56, 27277, 1169, 9212, 32, 3759, 44, 529, 2665, 2541, 886, 3398, 14186, 1789, 32, 34904, 44, 529, 9698, 32, 11452, 32, 39145, 6083, 886, 2287, 1340, 438, 646, 3835, 32, 1524, 584, 736, 280, 5167, 32, 371, 26, 6933, 32, 2413, 30, 4826, 47, 37220, 30, 6144, 47, 2700, 27, 291, 736, 32, 13225, 81, 979, 81, 1517, 346, 291, 442, 736, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 7841, 26, 784, 30, 5797, 30, 5489, 81, 452, 81, 23692, 47, 1815, 711, 203, 1524, 17549, 2907, 1550, 3627, 461, 32011, 1196, 322, 1550, 1980, 1182, 330, 10407, 25, 3879, 372, 10225, 322, 537, 3404, 32, 10460, 44, 5797, 429, 3677, 32, 1348, 1098, 526, 3398, 31, 18752, 9553, 372, 11926, 322, 1326, 32, 3759, 44, 529, 2665, 2541, 886, 3398, 14186, 1789, 32, 34904, 44, 529, 9698, 32, 11452, 32, 39145, 6083, 886, 2287, 1340, 438, 646, 3835, 32, 1524, 584, 415, 646, 6937, 26, 6263, 30, 5436, 711, 324, 3636, 10091, 440, 1318, 330, 6263, 25, 3395, 2298, 526, 3943, 312, 9473, 1300, 7144, 291, 5797, 280, 630, 3667, 823, 9818, 470, 81, 314, 81, 266, 81, 88, 3494, 26, 6263, 27, 291, 415, 5489, 81, 452, 81, 23692, 44, 324, 436, 1202, 328, 5797, 44, 400, 909, 280, 5797, 77, 678, 79, 400, 415, 827, 26, 695, 27, 610, 1149, 44, 528, 909, 32, 8233, 26, 32110, 26, 784, 30, 1202, 490, 528, 5797, 77, 678, 79, 280, 1149, 26, 470, 26, 695, 490, 291, 5797, 280, 630, 32, 1553, 81, 4398, 81, 4151, 26, 6263, 27, 291, 5797, 280, 630, 3667, 823, 9818, 669, 81, 1160, 81, 426, 81, 452, 81, 6263, 26, 6263, 27, 291, 630, 32, 2811, 81, 4073, 32, 2811, 440, 18086, 1392, 5797, 16531, 1643, 26, 1260, 32, 16958, 26, 6263, 30, 10525, 47, 38, 2610, 291, 736, 280, 5167, 32, 2675, 26, 965, 47, 784, 32, 4133, 81, 965, 30, 2361, 47, 6263, 30, 4826, 47, 37220, 30, 6144, 47, 2700, 27, 291, 630, 32, 1821, 81, 1986, 81, 916, 81, 452, 81, 761, 26, 575, 2360, 23239, 32, 916, 657, 291, 736, 32, 13225, 81, 979, 81, 1517, 346, 291, 2361, 81, 575, 280, 736, 32, 1260, 346, 291, 630, 32, 2811, 81, 4073, 32, 2811, 440, 4411, 657, 291, 630, 32, 10407, 280, 2361, 81, 575, 291, 442, 2361, 81, 575, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2364, 26, 6933, 30, 5797, 711, 203, 1524, 17775, 322, 706, 372, 322, 3191, 3627, 32, 10460, 44, 5797, 44, 529, 2665, 2541, 1348, 1098, 526, 3398, 31, 18752, 9553, 372, 11926, 322, 1326, 32, 3759, 44, 529, 2665, 2541, 886, 3398, 14186, 1789, 32, 34904, 44, 529, 10336, 32, 11452, 32, 39145, 6083, 886, 2287, 1340, 438, 646, 3835, 32, 529, 3157, 1337, 10189, 6083, 886, 20576, 2145, 4717, 322, 3756, 25834, 403, 3157, 1337, 10189, 32, 1524, 584, 415, 646, 6937, 26, 6263, 30, 5436, 711, 324, 3636, 10091, 440, 1318, 330, 6263, 25, 3395, 2298, 526, 3943, 312, 9473, 1300, 7144, 291, 5797, 280, 9011, 32, 470, 81, 314, 81, 266, 81, 88, 3494, 26, 6263, 27, 291, 5797, 280, 9011, 32, 1553, 81, 4398, 81, 4151, 26, 6263, 27, 291, 5797, 280, 9011, 32, 669, 81, 1160, 81, 426, 81, 452, 81, 6263, 26, 6263, 27, 291, 588, 4489, 1346, 1406, 31, 1526, 21042, 44, 291, 5797, 280, 9011, 32, 1001, 1526, 81, 12329, 26, 6263, 27, 291, 9011, 32, 2811, 81, 4073, 32, 2811, 440, 3705, 1392, 5797, 16531, 1643, 26, 1260, 32, 16958, 26, 6263, 30, 10525, 47, 38, 2610, 291, 736, 280, 5167, 32, 1526, 26, 965, 47, 6933, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 203, 665, 2290, 81, 1170, 81, 271, 26, 6933, 30, 5797, 711, 203, 1524, 358, 1928, 2907, 322, 1542, 328, 7000, 810, 1878, 46045, 322, 2467, 3377, 32, 34818, 312, 20576, 107, 3352, 432, 9696, 436, 312, 3627, 1471, 312, 1411, 810, 322, 2432, 636, 461, 13256, 328, 322, 2467, 619, 312, 802, 308, 979, 322, 1878, 4134, 46045, 372, 526, 3191, 547, 9287, 322, 1932, 8977, 438, 4717, 30, 461, 2017, 438, 646, 8409, 19404, 3191, 328, 322, 2145, 31, 2671, 2330, 1411, 32, 10460, 44, 5797, 44, 529, 2665, 2541, 886, 5414, 432, 312, 3627, 372, 3233, 436, 810, 1471, 1878, 4134, 46045, 436, 2504, 2467, 3395, 32, 3759, 44, 529, 2665, 6083, 886, 3398, 22687, 432, 322, 3627, 30, 415, 1346, 30, 2431, 810, 322, 2330, 1476, 32, 529, 2521, 6083, 1670, 322, 2330, 1476, 4142, 566, 25, 442, 1346, 3276, 32, 1524, 584, 415, 646, 6937, 26, 6263, 30, 5436, 711, 324, 3636, 10091, 440, 1318, 330, 6263, 25, 3395, 2298, 526, 3943, 312, 9473, 1300, 7144, 291, 1984, 280, 2322, 32, 983, 32, 2524, 26, 6933, 32, 2413, 30, 313, 1809, 81, 1170, 81, 271, 657, 291, 5797, 280, 3447, 1809, 81, 1170, 81, 271, 563, 5797, 111, 291, 9011, 32, 2811, 81, 4073, 32, 2811, 440, 47648, 447, 338, 20560, 2149, 436, 16531, 1643, 26, 6933, 3667, 426, 7642, 2361, 32, 16958, 26, 6263, 30, 10525, 47, 38, 2610, 291, 736, 280, 5167, 32, 1526, 26, 965, 47, 965, 30, 2361, 47, 6263, 30, 4826, 47, 37220, 30, 6144, 47, 2700, 27, 291, 9011, 32, 1821, 81, 1986, 81, 916, 81, 452, 81, 761, 26, 575, 2360, 23239, 32, 916, 657, 291, 415, 736, 44, 2607, 1596, 44, 3083, 736, 280, 736, 77, 6933, 32, 14483, 81, 2474, 79, 2607, 2940, 25085, 44, 3083, 588, 3891, 7606, 1330, 526, 5024, 415, 2017, 7735, 1330, 312, 16614, 436, 561, 544, 322, 2145, 32, 3083, 3097, 291, 442, 736, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1650, 26, 6933, 711, 203, 1524, 56, 27277, 1169, 9212, 32, 3759, 44, 529, 2665, 2541, 886, 3398, 14186, 1789, 32, 34904, 44, 529, 9698, 32, 11452, 32, 39145, 6083, 886, 2287, 1340, 438, 646, 3835, 32, 1524, 584, 736, 280, 5167, 32, 371, 26, 6933, 32, 2413, 30, 4826, 47, 37220, 30, 6144, 47, 2700, 27, 291, 736, 32, 13225, 81, 979, 81, 1517, 346, 291, 442, 736, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 7841, 26, 784, 30, 5797, 30, 5489, 81, 452, 81, 23692, 47, 1815, 711, 203, 1524, 17549, 2907, 1550, 3627, 461, 32011, 1196, 322, 1550, 1980, 1182, 330, 10407, 25, 3879, 372, 10225, 322, 537, 3404, 32, 10460, 44, 5797, 429, 3677, 32, 1348, 1098, 526, 3398, 31, 18752, 9553, 372, 11926, 322, 1326, 32, 3759, 44, 529, 2665, 2541, 886, 3398, 14186, 1789, 32, 34904, 44, 529, 9698, 32, 11452, 32, 39145, 6083, 886, 2287, 1340, 438, 646, 3835, 32, 1524, 584, 415, 646, 6937, 26, 6263, 30, 5436, 711, 324, 3636, 10091, 440, 1318, 330, 6263, 25, 3395, 2298, 526, 3943, 312, 9473, 1300, 7144, 291, 5797, 280, 630, 3667, 823, 9818, 470, 81, 314, 81, 266, 81, 88, 3494, 26, 6263, 27, 291, 415, 5489, 81, 452, 81, 23692, 44, 324, 436, 1202, 328, 5797, 44, 400, 909, 280, 5797, 77, 678, 79, 400, 415, 827, 26, 695, 27, 610, 1149, 44, 528, 909, 32, 8233, 26, 32110, 26, 784, 30, 1202, 490, 528, 5797, 77, 678, 79, 280, 1149, 26, 470, 26, 695, 490, 291, 5797, 280, 630, 32, 1553, 81, 4398, 81, 4151, 26, 6263, 27, 291, 5797, 280, 630, 3667, 823, 9818, 669, 81, 1160, 81, 426, 81, 452, 81, 6263, 26, 6263, 27, 291, 630, 32, 2811, 81, 4073, 32, 2811, 440, 18086, 1392, 5797, 16531, 1643, 26, 1260, 32, 16958, 26, 6263, 30, 10525, 47, 38, 2610, 291, 736, 280, 5167, 32, 2675, 26, 965, 47, 784, 32, 4133, 81, 965, 30, 2361, 47, 6263, 30, 4826, 47, 37220, 30, 6144, 47, 2700, 27, 291, 630, 32, 1821, 81, 1986, 81, 916, 81, 452, 81, 761, 26, 575, 2360, 23239, 32, 916, 657, 291, 736, 32, 13225, 81, 979, 81, 1517, 346, 291, 2361, 81, 575, 280, 736, 32, 1260, 346, 291, 630, 32, 2811, 81, 4073, 32, 2811, 440, 4411, 657, 291, 630, 32, 10407, 280, 2361, 81, 575, 291, 442, 2361, 81, 575, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2364, 26, 6933, 30, 5797, 711, 203, 1524, 17775, 322, 706, 372, 322, 3191, 3627, 32, 10460, 44, 5797, 44, 529, 2665, 2541, 1348, 1098, 526, 3398, 31, 18752, 9553, 372, 11926, 322, 1326, 32, 3759, 44, 529, 2665, 2541, 886, 3398, 14186, 1789, 32, 34904, 44, 529, 10336, 32, 11452, 32, 39145, 6083, 886, 2287, 1340, 438, 646, 3835, 32, 529, 3157, 1337, 10189, 6083, 886, 20576, 2145, 4717, 322, 3756, 25834, 403, 3157, 1337, 10189, 32, 1524, 584, 415, 646, 6937, 26, 6263, 30, 5436, 711, 324, 3636, 10091, 440, 1318, 330, 6263, 25, 3395, 2298, 526, 3943, 312, 9473, 1300, 7144, 291, 5797, 280, 9011, 32, 470, 81, 314, 81, 266, 81, 88, 3494, 26, 6263, 27, 291, 5797, 280, 9011, 32, 1553, 81, 4398, 81, 4151, 26, 6263, 27, 291, 5797, 280, 9011, 32, 669, 81, 1160, 81, 426, 81, 452, 81, 6263, 26, 6263, 27, 291, 588, 4489, 1346, 1406, 31, 1526, 21042, 44, 291, 5797, 280, 9011, 32, 1001, 1526, 81, 12329, 26, 6263, 27, 291, 9011, 32, 2811, 81, 4073, 32, 2811, 440, 3705, 1392, 5797, 16531, 1643, 26, 1260, 32, 16958, 26, 6263, 30, 10525, 47, 38, 2610, 291, 736, 280, 5167, 32, 1526, 26, 965, 47, 6933, 32 ]
[ 2413, 30, 2361, 4310, 6263, 471, 4826, 47, 37220, 30, 6144, 47, 2700, 27, 291, 9011, 32, 1821, 81, 1986, 81, 916, 81, 452, 81, 761, 26, 575, 2360, 23239, 32, 916, 657, 291, 415, 646, 736, 32, 1253, 44, 324, 9011, 32, 751, 81, 731, 26, 575, 32, 878, 27, 324, 736, 81, 1260, 280, 736, 32, 1260, 346, 324, 415, 313, 3893, 20, 328, 736, 81, 1260, 44, 400, 13489, 81, 681, 280, 736, 81, 1260, 1365, 3893, 1446, 400, 415, 13489, 81, 681, 610, 313, 38157, 403, 3157, 1337, 10189, 563, 528, 3636, 9803, 1337, 10189, 346, 291, 736, 32, 13225, 81, 979, 81, 1517, 346, 291, 736, 280, 736, 32, 1260, 346, 291, 9011, 32, 751, 81, 1526, 26, 575, 27, 291, 9011, 32, 2811, 81, 4073, 32, 2811, 440, 4411, 657, 291, 442, 736, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1245, 81, 731, 26, 6933, 30, 3124, 711, 203, 1524, 29439, 322, 3943, 1048, 1474, 372, 4335, 322, 1048, 4082, 461, 322, 4588, 4082, 5741, 6942, 32, 10460, 44, 3124, 44, 529, 466, 2541, 886, 1048, 1474, 372, 1245, 32, 1524, 584, 9011, 32, 731, 81, 4073, 32, 731, 26, 2076, 27, 291, 9011, 32, 2811, 81, 4073, 32, 2811, 26, 2076, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4253, 81, 17913, 16068, 81, 4295, 26, 784, 711, 203, 1524, 32443, 312, 5436, 32, 2154, 2504, 1202, 438, 312, 13392, 2484, 544, 322, 2148, 448, 16068, 1104, 461, 2504, 786, 438, 322, 5746, 2148, 448, 16068, 1394, 32, 38585, 688, 15420, 1330, 6305, 623, 312, 2148, 448, 16068, 1394, 884, 646, 328, 9028, 795, 86, 328, 322, 5436, 32, 1524, 584, 309, 575, 81, 3631, 280, 630, 32, 17913, 16068, 81, 1267, 81, 3631, 291, 736, 280, 2149, 291, 436, 595, 328, 309, 575, 81, 3631, 44, 324, 309, 575, 280, 2148, 448, 16068, 1394, 26, 91, 27, 324, 736, 77, 101, 575, 32, 5248, 81, 314, 79, 280, 309, 575, 291, 442, 736, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 707, 8929, 81, 496, 26, 784, 30, 1256, 81, 314, 711, 203, 1524, 1061, 19832, 322, 1256, 623, 322, 3191, 1256, 2484, 32, 10460, 44, 1256, 81, 314, 44, 529, 410, 2541, 886, 2484, 432, 322, 1256, 372, 707, 8929, 32, 3759, 44, 529, 2521, 620, 6083, 1665, 32, 1524, 584, 1984, 280, 630, 32, 4133, 81, 965, 474, 2430, 311, 8929, 20, 291, 736, 280, 5167, 32, 2675, 26, 965, 47, 965, 30, 2361, 7814, 496, 81, 314, 563, 1256, 81, 314, 835, 4826, 47, 37220, 30, 6144, 47, 2700, 27, 291, 630, 32, 1821, 81, 1986, 81, 916, 81, 452, 81, 761, 26, 575, 2360, 23239, 32, 916, 657, 291, 736, 32, 13225, 81, 979, 81, 1517, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3345, 81, 1237, 81, 678, 26, 784, 711, 203, 1524, 24992, 322, 1256, 1182, 4905, 2330, 1202, 30, 415, 5024, 30, 461, 6900, 322, 1550, 1980, 1182, 330, 1237, 81, 678, 25, 3879, 372, 322, 3502, 802, 32, 3759, 44, 529, 2521, 620, 6083, 1665, 32, 1524, 584, 1984, 280, 630, 32, 4133, 81, 965, 474, 2430, 2546, 81, 1237, 81, 678, 20, 291, 736, 280, 5167, 32, 2675, 26, 965, 47, 965, 30, 4826, 47, 37220, 30, 6144, 47, 2700, 27, 291, 736, 32, 13225, 81, 979, 81, 1517, 346, 291, 630, 32, 1237, 81, 678, 280, 3330, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 2416, 26, 784, 30, 2869, 47, 2521, 30, 706, 19704, 711, 203, 1524, 31955, 322, 1550, 6141, 42710, 600, 4808, 1326, 372, 322, 447, 2730, 54, 1413, 45704, 2330, 2145, 1524, 584, 588, 793, 1300, 1182, 706, 415, 1289, 706, 438, 5403, 291, 617, 605, 280, 706, 556, 630, 1114, 605, 291, 540, 545, 81, 965, 280, 630, 32, 371, 81, 100, 545, 81, 7986, 26, 3142, 27, 291, 415, 617, 605, 44, 324, 3616, 280, 5167, 32, 1526, 26, 100, 545, 81, 965, 30, 706, 47, 1260, 32, 16958, 2176, 605, 471, 1378, 4826, 47, 784, 32, 5078, 27, 291, 813, 44, 324, 3616, 280, 5167, 32, 371, 26, 100, 545, 81, 965, 30, 2803, 11645, 605, 30, 7686, 4826, 47, 784, 32, 5078, 27, 291, 415, 3616, 32, 1517, 81, 687, 610, 225, 36, 34, 34, 44, 324, 630, 1114, 1986, 280, 2361, 32, 12474, 26, 2403, 32, 878, 27, 324, 415, 629, 26, 784, 1114, 1986, 710, 1986, 81, 687, 3490, 610, 225, 34, 34, 44, 400, 442, 308, 1815, 30, 630, 1114, 1986, 27, 324, 813, 44, 400, 442, 308, 2700, 30, 630, 1114, 1986, 710, 1986, 81, 878, 3490, 291, 813, 44, 324, 442, 308, 39, 34, 34, 30, 313, 1104, 12228, 657, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1015, 81, 2111, 26, 784, 30, 3338, 711, 203, 1524, 1103, 312, 3115, 4808, 3338, 372, 322, 2043, 1182, 1326, 4826, 2993, 584, 415, 827, 26, 2111, 27, 438, 5436, 44, 324, 630, 1114, 5078, 32, 1877, 26, 2111, 27, 291, 813, 44, 324, 3636, 10091, 26, 400, 313, 7870, 2799, 30, 5424, 6611, 101, 25, 4174, 20, 904, 827, 26, 2111, 27, 324, 829, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 27671, 81, 4538, 26, 2095, 711, 203, 588, 827, 44, 1404, 967, 1665, 1524, 10945 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2413, 30, 2361, 4310, 6263, 471, 4826, 47, 37220, 30, 6144, 47, 2700, 27, 291, 9011, 32, 1821, 81, 1986, 81, 916, 81, 452, 81, 761, 26, 575, 2360, 23239, 32, 916, 657, 291, 415, 646, 736, 32, 1253, 44, 324, 9011, 32, 751, 81, 731, 26, 575, 32, 878, 27, 324, 736, 81, 1260, 280, 736, 32, 1260, 346, 324, 415, 313, 3893, 20, 328, 736, 81, 1260, 44, 400, 13489, 81, 681, 280, 736, 81, 1260, 1365, 3893, 1446, 400, 415, 13489, 81, 681, 610, 313, 38157, 403, 3157, 1337, 10189, 563, 528, 3636, 9803, 1337, 10189, 346, 291, 736, 32, 13225, 81, 979, 81, 1517, 346, 291, 736, 280, 736, 32, 1260, 346, 291, 9011, 32, 751, 81, 1526, 26, 575, 27, 291, 9011, 32, 2811, 81, 4073, 32, 2811, 440, 4411, 657, 291, 442, 736, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1245, 81, 731, 26, 6933, 30, 3124, 711, 203, 1524, 29439, 322, 3943, 1048, 1474, 372, 4335, 322, 1048, 4082, 461, 322, 4588, 4082, 5741, 6942, 32, 10460, 44, 3124, 44, 529, 466, 2541, 886, 1048, 1474, 372, 1245, 32, 1524, 584, 9011, 32, 731, 81, 4073, 32, 731, 26, 2076, 27, 291, 9011, 32, 2811, 81, 4073, 32, 2811, 26, 2076, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4253, 81, 17913, 16068, 81, 4295, 26, 784, 711, 203, 1524, 32443, 312, 5436, 32, 2154, 2504, 1202, 438, 312, 13392, 2484, 544, 322, 2148, 448, 16068, 1104, 461, 2504, 786, 438, 322, 5746, 2148, 448, 16068, 1394, 32, 38585, 688, 15420, 1330, 6305, 623, 312, 2148, 448, 16068, 1394, 884, 646, 328, 9028, 795, 86, 328, 322, 5436, 32, 1524, 584, 309, 575, 81, 3631, 280, 630, 32, 17913, 16068, 81, 1267, 81, 3631, 291, 736, 280, 2149, 291, 436, 595, 328, 309, 575, 81, 3631, 44, 324, 309, 575, 280, 2148, 448, 16068, 1394, 26, 91, 27, 324, 736, 77, 101, 575, 32, 5248, 81, 314, 79, 280, 309, 575, 291, 442, 736, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 707, 8929, 81, 496, 26, 784, 30, 1256, 81, 314, 711, 203, 1524, 1061, 19832, 322, 1256, 623, 322, 3191, 1256, 2484, 32, 10460, 44, 1256, 81, 314, 44, 529, 410, 2541, 886, 2484, 432, 322, 1256, 372, 707, 8929, 32, 3759, 44, 529, 2521, 620, 6083, 1665, 32, 1524, 584, 1984, 280, 630, 32, 4133, 81, 965, 474, 2430, 311, 8929, 20, 291, 736, 280, 5167, 32, 2675, 26, 965, 47, 965, 30, 2361, 7814, 496, 81, 314, 563, 1256, 81, 314, 835, 4826, 47, 37220, 30, 6144, 47, 2700, 27, 291, 630, 32, 1821, 81, 1986, 81, 916, 81, 452, 81, 761, 26, 575, 2360, 23239, 32, 916, 657, 291, 736, 32, 13225, 81, 979, 81, 1517, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3345, 81, 1237, 81, 678, 26, 784, 711, 203, 1524, 24992, 322, 1256, 1182, 4905, 2330, 1202, 30, 415, 5024, 30, 461, 6900, 322, 1550, 1980, 1182, 330, 1237, 81, 678, 25, 3879, 372, 322, 3502, 802, 32, 3759, 44, 529, 2521, 620, 6083, 1665, 32, 1524, 584, 1984, 280, 630, 32, 4133, 81, 965, 474, 2430, 2546, 81, 1237, 81, 678, 20, 291, 736, 280, 5167, 32, 2675, 26, 965, 47, 965, 30, 4826, 47, 37220, 30, 6144, 47, 2700, 27, 291, 736, 32, 13225, 81, 979, 81, 1517, 346, 291, 630, 32, 1237, 81, 678, 280, 3330, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 2416, 26, 784, 30, 2869, 47, 2521, 30, 706, 19704, 711, 203, 1524, 31955, 322, 1550, 6141, 42710, 600, 4808, 1326, 372, 322, 447, 2730, 54, 1413, 45704, 2330, 2145, 1524, 584, 588, 793, 1300, 1182, 706, 415, 1289, 706, 438, 5403, 291, 617, 605, 280, 706, 556, 630, 1114, 605, 291, 540, 545, 81, 965, 280, 630, 32, 371, 81, 100, 545, 81, 7986, 26, 3142, 27, 291, 415, 617, 605, 44, 324, 3616, 280, 5167, 32, 1526, 26, 100, 545, 81, 965, 30, 706, 47, 1260, 32, 16958, 2176, 605, 471, 1378, 4826, 47, 784, 32, 5078, 27, 291, 813, 44, 324, 3616, 280, 5167, 32, 371, 26, 100, 545, 81, 965, 30, 2803, 11645, 605, 30, 7686, 4826, 47, 784, 32, 5078, 27, 291, 415, 3616, 32, 1517, 81, 687, 610, 225, 36, 34, 34, 44, 324, 630, 1114, 1986, 280, 2361, 32, 12474, 26, 2403, 32, 878, 27, 324, 415, 629, 26, 784, 1114, 1986, 710, 1986, 81, 687, 3490, 610, 225, 34, 34, 44, 400, 442, 308, 1815, 30, 630, 1114, 1986, 27, 324, 813, 44, 400, 442, 308, 2700, 30, 630, 1114, 1986, 710, 1986, 81, 878, 3490, 291, 813, 44, 324, 442, 308, 39, 34, 34, 30, 313, 1104, 12228, 657, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1015, 81, 2111, 26, 784, 30, 3338, 711, 203, 1524, 1103, 312, 3115, 4808, 3338, 372, 322, 2043, 1182, 1326, 4826, 2993, 584, 415, 827, 26, 2111, 27, 438, 5436, 44, 324, 630, 1114, 5078, 32, 1877, 26, 2111, 27, 291, 813, 44, 324, 3636, 10091, 26, 400, 313, 7870, 2799, 30, 5424, 6611, 101, 25, 4174, 20, 904, 827, 26, 2111, 27, 324, 829, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 27671, 81, 4538, 26, 2095, 711, 203, 588, 827, 44, 1404, 967, 1665, 1524, 10945 ]
[ 27671, 645, 4583, 5218, 32, 1524, 446, 415, 3692, 32, 5817, 20097, 81, 1113, 2501, 44, 291, 442, 446, 645, 298, 13166, 774, 32, 1262, 1188, 9073, 284, 645, 638, 1188, 8130, 284, 9073, 32, 85, 1216, 26, 4557, 32, 21907, 1157, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 622, 81, 1536, 81, 426, 26, 784, 711, 291, 5881, 291, 2744, 322, 1244, 4723, 636, 372, 2968, 786, 544, 322, 4118, 436, 458, 2470, 32, 584, 16298, 32, 2244, 2470, 319, 710, 31, 101, 370, 11363, 539, 31, 6482, 785, 28, 1098, 4450, 322, 319, 539, 81, 6482, 28, 636, 584, 3759, 44, 324, 596, 44, 322, 1244, 636, 432, 322, 2470, 291, 5881, 291, 1946, 81, 4243, 280, 428, 426, 436, 636, 328, 630, 32, 426, 415, 636, 32, 15990, 13692, 3830, 291, 4504, 81, 4243, 280, 428, 426, 436, 636, 328, 630, 32, 426, 415, 646, 636, 32, 15990, 13692, 3830, 584, 415, 1946, 81, 4243, 44, 324, 442, 372, 81, 29563, 81, 1732, 26, 3222, 81, 4243, 77, 34, 997, 94, 7201, 10359, 2131, 584, 442, 372, 81, 29563, 81, 1732, 26, 4021, 81, 4243, 77, 34, 997, 94, 7201, 10359, 2131, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 3607, 26, 784, 30, 1695, 81, 1515, 47, 2521, 30, 2047, 6301, 47, 2521, 711, 203, 1524, 13614, 4870, 4122, 544, 322, 5414, 32, 8350, 1695, 81, 1515, 499, 5380, 1519, 432, 322, 3051, 3362, 32, 1670, 3191, 30, 322, 442, 786, 438, 312, 5380, 30, 623, 1695, 81, 1515, 517, 1361, 31, 9787, 517, 308, 1464, 31, 9787, 517, 27, 2047, 6301, 517, 4870, 5878, 322, 442, 786, 438, 312, 802, 32, 2047, 6301, 499, 596, 18188, 786, 436, 2047, 6301, 308, 91, 32, 87, 32, 322, 3362, 6517, 5383, 33, 2848, 547, 1348, 438, 7506, 3301, 16389, 322, 2047, 6301, 3879, 438, 44572, 32, 3759, 14761, 596, 556, 5380, 596, 432, 322, 4870, 415, 1695, 81, 1515, 438, 646, 3191, 30, 5878, 322, 3536, 5380, 1524, 584, 4870, 280, 330, 1113, 21113, 474, 630, 32, 6250, 291, 415, 630, 32, 2848, 438, 646, 1665, 44, 324, 4870, 1454, 7610, 1464, 21113, 474, 630, 32, 2848, 291, 415, 630, 32, 2795, 438, 646, 1665, 44, 324, 4870, 1454, 7610, 2795, 21113, 474, 630, 32, 2795, 291, 415, 630, 32, 1945, 438, 646, 1665, 461, 630, 32, 7354, 438, 1665, 44, 324, 4870, 1454, 7610, 1945, 21113, 474, 630, 32, 1945, 291, 415, 630, 32, 329, 20982, 438, 646, 1665, 44, 324, 4870, 1454, 7610, 329, 99, 21113, 474, 630, 32, 329, 20982, 291, 415, 630, 32, 7354, 438, 646, 1665, 44, 324, 4870, 1454, 7610, 1515, 21113, 474, 630, 32, 7354, 291, 415, 630, 32, 1945, 438, 646, 1665, 461, 630, 32, 7354, 438, 646, 1665, 44, 324, 4870, 1454, 7610, 1945, 21113, 474, 630, 32, 1945, 291, 415, 630, 32, 3867, 543, 438, 646, 1665, 44, 324, 4870, 1454, 27491, 474, 630, 32, 3867, 543, 291, 415, 630, 32, 6728, 438, 646, 1665, 44, 324, 4870, 1454, 630, 32, 6728, 584, 415, 1695, 81, 1515, 438, 1665, 44, 324, 442, 4870, 584, 813, 44, 324, 4921, 81, 426, 280, 1695, 81, 1515, 517, 2726, 1113, 21113, 474, 630, 32, 6250, 27, 324, 415, 630, 32, 2848, 438, 646, 1665, 44, 400, 4921, 81, 426, 14374, 330, 1464, 21113, 474, 630, 32, 2848, 1064, 415, 2047, 6301, 438, 646, 1665, 44, 400, 4921, 81, 426, 14374, 2047, 6301, 324, 813, 44, 400, 4921, 81, 426, 280, 1015, 81, 3867, 543, 26, 1515, 81, 426, 30, 630, 32, 3867, 543, 27, 1064, 442, 4921, 81, 426, 517, 4870, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 26, 784, 30, 2761, 81, 5962, 47, 2521, 30, 1992, 81, 5962, 47, 2521, 711, 203, 1524, 1908, 4702, 432, 322, 394, 6004, 30, 1471, 4262, 2761, 461, 1992, 32, 8350, 2761, 81, 5962, 499, 667, 667, 372, 2761, 322, 273, 2269, 5760, 308, 1382, 667, 5652, 372, 442, 2933, 33, 2700, 27, 1992, 81, 5962, 499, 667, 667, 372, 2192, 322, 273, 2269, 6090, 3759, 14761, 1149, 1149, 308, 1206, 312, 9750, 30, 3301, 688, 1182, 322, 4630, 4942, 1135, 27, 15950, 24618, 2614, 2192, 1169, 322, 11022, 328, 1591, 1149, 30, 3823, 313, 7127, 81, 5919, 20, 403, 2614, 2192, 1169, 322, 4467, 432, 322, 11022, 44, 1524, 584, 415, 2761, 81, 5962, 438, 1665, 44, 324, 2761, 81, 5962, 280, 9254, 816, 44, 2933, 291, 415, 1992, 81, 5962, 438, 1665, 44, 324, 1992, 81, 5962, 280, 9254, 816, 44, 816, 291, 442, 1149, 26, 1110, 26, 1110, 81, 5962, 30, 2761, 26, 2029, 81, 5962, 30, 630, 32, 27455, 2610, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5008, 26, 784, 30, 2043, 81, 314, 44, 596, 280, 1665, 30, 2043, 81, 7241, 44, 596, 280, 1665, 27, 967, 5436, 44, 1524, 33752, 3022, 461, 622, 2404, 526, 8970, 32, 439, 762, 8512, 2330, 5251, 337, 2681, 225, 36, 32, 34, 7079, 308, 641, 555, 4280, 32, 26469, 32, 1088, 33, 916, 33, 21072, 40, 41, 38, 43, 27, 2318, 44, 1913, 555, 4756, 32, 9328, 8512, 32, 508, 33, 1237, 33, 2173, 33, 11753, 33, 6332, 7491, 32, 916, 499, 753, 596, 2043, 81, 314, 44, 3022, 337, 2681, 36, 7248, 499, 753, 596, 2043, 81, 7241, 44, 3022, 337, 2681, 36, 9313, 1524, 584, 588, 1440, 27389, 733, 556, 3872, 1476, 291, 415, 646, 2043, 81, 314, 461, 646, 2043, 81, 7241, 44, 324, 2043, 81, 314, 280, 630, 32, 1580, 81, 314, 324, 2043, 81, 7241, 280, 630, 32, 1580, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27671, 645, 4583, 5218, 32, 1524, 446, 415, 3692, 32, 5817, 20097, 81, 1113, 2501, 44, 291, 442, 446, 645, 298, 13166, 774, 32, 1262, 1188, 9073, 284, 645, 638, 1188, 8130, 284, 9073, 32, 85, 1216, 26, 4557, 32, 21907, 1157, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 622, 81, 1536, 81, 426, 26, 784, 711, 291, 5881, 291, 2744, 322, 1244, 4723, 636, 372, 2968, 786, 544, 322, 4118, 436, 458, 2470, 32, 584, 16298, 32, 2244, 2470, 319, 710, 31, 101, 370, 11363, 539, 31, 6482, 785, 28, 1098, 4450, 322, 319, 539, 81, 6482, 28, 636, 584, 3759, 44, 324, 596, 44, 322, 1244, 636, 432, 322, 2470, 291, 5881, 291, 1946, 81, 4243, 280, 428, 426, 436, 636, 328, 630, 32, 426, 415, 636, 32, 15990, 13692, 3830, 291, 4504, 81, 4243, 280, 428, 426, 436, 636, 328, 630, 32, 426, 415, 646, 636, 32, 15990, 13692, 3830, 584, 415, 1946, 81, 4243, 44, 324, 442, 372, 81, 29563, 81, 1732, 26, 3222, 81, 4243, 77, 34, 997, 94, 7201, 10359, 2131, 584, 442, 372, 81, 29563, 81, 1732, 26, 4021, 81, 4243, 77, 34, 997, 94, 7201, 10359, 2131, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 3607, 26, 784, 30, 1695, 81, 1515, 47, 2521, 30, 2047, 6301, 47, 2521, 711, 203, 1524, 13614, 4870, 4122, 544, 322, 5414, 32, 8350, 1695, 81, 1515, 499, 5380, 1519, 432, 322, 3051, 3362, 32, 1670, 3191, 30, 322, 442, 786, 438, 312, 5380, 30, 623, 1695, 81, 1515, 517, 1361, 31, 9787, 517, 308, 1464, 31, 9787, 517, 27, 2047, 6301, 517, 4870, 5878, 322, 442, 786, 438, 312, 802, 32, 2047, 6301, 499, 596, 18188, 786, 436, 2047, 6301, 308, 91, 32, 87, 32, 322, 3362, 6517, 5383, 33, 2848, 547, 1348, 438, 7506, 3301, 16389, 322, 2047, 6301, 3879, 438, 44572, 32, 3759, 14761, 596, 556, 5380, 596, 432, 322, 4870, 415, 1695, 81, 1515, 438, 646, 3191, 30, 5878, 322, 3536, 5380, 1524, 584, 4870, 280, 330, 1113, 21113, 474, 630, 32, 6250, 291, 415, 630, 32, 2848, 438, 646, 1665, 44, 324, 4870, 1454, 7610, 1464, 21113, 474, 630, 32, 2848, 291, 415, 630, 32, 2795, 438, 646, 1665, 44, 324, 4870, 1454, 7610, 2795, 21113, 474, 630, 32, 2795, 291, 415, 630, 32, 1945, 438, 646, 1665, 461, 630, 32, 7354, 438, 1665, 44, 324, 4870, 1454, 7610, 1945, 21113, 474, 630, 32, 1945, 291, 415, 630, 32, 329, 20982, 438, 646, 1665, 44, 324, 4870, 1454, 7610, 329, 99, 21113, 474, 630, 32, 329, 20982, 291, 415, 630, 32, 7354, 438, 646, 1665, 44, 324, 4870, 1454, 7610, 1515, 21113, 474, 630, 32, 7354, 291, 415, 630, 32, 1945, 438, 646, 1665, 461, 630, 32, 7354, 438, 646, 1665, 44, 324, 4870, 1454, 7610, 1945, 21113, 474, 630, 32, 1945, 291, 415, 630, 32, 3867, 543, 438, 646, 1665, 44, 324, 4870, 1454, 27491, 474, 630, 32, 3867, 543, 291, 415, 630, 32, 6728, 438, 646, 1665, 44, 324, 4870, 1454, 630, 32, 6728, 584, 415, 1695, 81, 1515, 438, 1665, 44, 324, 442, 4870, 584, 813, 44, 324, 4921, 81, 426, 280, 1695, 81, 1515, 517, 2726, 1113, 21113, 474, 630, 32, 6250, 27, 324, 415, 630, 32, 2848, 438, 646, 1665, 44, 400, 4921, 81, 426, 14374, 330, 1464, 21113, 474, 630, 32, 2848, 1064, 415, 2047, 6301, 438, 646, 1665, 44, 400, 4921, 81, 426, 14374, 2047, 6301, 324, 813, 44, 400, 4921, 81, 426, 280, 1015, 81, 3867, 543, 26, 1515, 81, 426, 30, 630, 32, 3867, 543, 27, 1064, 442, 4921, 81, 426, 517, 4870, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 26, 784, 30, 2761, 81, 5962, 47, 2521, 30, 1992, 81, 5962, 47, 2521, 711, 203, 1524, 1908, 4702, 432, 322, 394, 6004, 30, 1471, 4262, 2761, 461, 1992, 32, 8350, 2761, 81, 5962, 499, 667, 667, 372, 2761, 322, 273, 2269, 5760, 308, 1382, 667, 5652, 372, 442, 2933, 33, 2700, 27, 1992, 81, 5962, 499, 667, 667, 372, 2192, 322, 273, 2269, 6090, 3759, 14761, 1149, 1149, 308, 1206, 312, 9750, 30, 3301, 688, 1182, 322, 4630, 4942, 1135, 27, 15950, 24618, 2614, 2192, 1169, 322, 11022, 328, 1591, 1149, 30, 3823, 313, 7127, 81, 5919, 20, 403, 2614, 2192, 1169, 322, 4467, 432, 322, 11022, 44, 1524, 584, 415, 2761, 81, 5962, 438, 1665, 44, 324, 2761, 81, 5962, 280, 9254, 816, 44, 2933, 291, 415, 1992, 81, 5962, 438, 1665, 44, 324, 1992, 81, 5962, 280, 9254, 816, 44, 816, 291, 442, 1149, 26, 1110, 26, 1110, 81, 5962, 30, 2761, 26, 2029, 81, 5962, 30, 630, 32, 27455, 2610, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5008, 26, 784, 30, 2043, 81, 314, 44, 596, 280, 1665, 30, 2043, 81, 7241, 44, 596, 280, 1665, 27, 967, 5436, 44, 1524, 33752, 3022, 461, 622, 2404, 526, 8970, 32, 439, 762, 8512, 2330, 5251, 337, 2681, 225, 36, 32, 34, 7079, 308, 641, 555, 4280, 32, 26469, 32, 1088, 33, 916, 33, 21072, 40, 41, 38, 43, 27, 2318, 44, 1913, 555, 4756, 32, 9328, 8512, 32, 508, 33, 1237, 33, 2173, 33, 11753, 33, 6332, 7491, 32, 916, 499, 753, 596, 2043, 81, 314, 44, 3022, 337, 2681, 36, 7248, 499, 753, 596, 2043, 81, 7241, 44, 3022, 337, 2681, 36, 9313, 1524, 584, 588, 1440, 27389, 733, 556, 3872, 1476, 291, 415, 646, 2043, 81, 314, 461, 646, 2043, 81, 7241, 44, 324, 2043, 81, 314, 280, 630, 32, 1580, 81, 314, 324, 2043, 81, 7241, 280, 630, 32, 1580, 81 ]
[ 7241, 291, 813, 44, 324, 3097, 584, 588, 9261, 14433, 3338, 328, 3772, 40, 38, 308, 641, 555, 272, 32, 12393, 32, 1088, 33, 6419, 33, 1761, 40, 38, 27, 291, 588, 2318, 44, 1913, 555, 4280, 32, 26469, 32, 1088, 33, 916, 33, 21072, 36, 40, 35, 41, 21, 1906, 31, 36, 291, 588, 1471, 5675, 34627, 46987, 1411, 291, 588, 2318, 44, 1913, 555, 4280, 32, 26469, 32, 1088, 33, 916, 33, 21072, 40, 41, 38, 43, 21, 1906, 31, 38, 32, 38, 291, 5797, 280, 3447, 21115, 81, 681, 563, 313, 1580, 81, 12623, 3612, 291, 5759, 280, 3447, 496, 31, 4867, 563, 630, 32, 725, 81, 426, 111, 584, 588, 13256, 1326, 372, 622, 312, 225, 36, 38, 90, 526, 8970, 291, 588, 2318, 44, 1913, 555, 4280, 32, 26469, 32, 1088, 33, 916, 33, 21072, 40, 41, 39, 34, 21, 1906, 31, 36, 291, 804, 81, 965, 280, 313, 641, 555, 314, 32, 24330, 9328, 8512, 32, 508, 33, 10772, 33, 1956, 2296, 1643, 26, 784, 32, 1237, 81, 965, 27, 291, 1596, 44, 324, 4567, 280, 630, 32, 1526, 26, 400, 804, 81, 965, 30, 400, 3796, 4310, 1580, 81, 314, 30, 2043, 81, 7241, 471, 400, 4826, 47, 1816, 30, 400, 706, 47, 6263, 30, 400, 44028, 47, 784, 32, 46466, 30, 400, 6144, 47, 784, 32, 6482, 30, 324, 829, 291, 2940, 9476, 924, 619, 484, 44, 324, 3636, 9476, 924, 440, 2798, 372, 439, 762, 8512, 2484, 20, 313, 7815, 44, 16531, 1643, 26, 87, 490, 584, 588, 2258, 312, 8117, 1505, 291, 1505, 81, 2132, 280, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 3781, 27, 291, 415, 1505, 81, 2132, 610, 225, 35, 44, 324, 3097, 291, 4348, 6937, 26, 1553, 81, 2132, 30, 8825, 27, 461, 2069, 26, 1553, 81, 2132, 27, 610, 225, 36, 44, 324, 3636, 10091, 26, 36, 30, 1505, 81, 2132, 27, 584, 588, 7867, 2857, 291, 630, 32, 1956, 280, 4567, 32, 1260, 346, 584, 588, 1015, 23888, 2340, 429, 32718, 623, 312, 1406, 8951, 432, 225, 35, 34, 23, 291, 23888, 81, 7843, 280, 630, 32, 1956, 32, 371, 440, 22171, 81, 266, 392, 225, 37, 40, 34, 34, 27, 429, 308, 324, 630, 32, 1956, 32, 371, 440, 22171, 81, 266, 392, 225, 37, 40, 34, 34, 27, 517, 225, 35, 34, 291, 829, 291, 630, 32, 1956, 1365, 22171, 81, 269, 1446, 280, 7138, 32, 44026, 346, 474, 30784, 26, 324, 6791, 47, 26923, 81, 7843, 291, 829, 584, 588, 943, 432, 1411, 291, 442, 630, 32, 1956, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3233, 26, 630, 30, 2404, 44, 5436, 280, 1665, 30, 2467, 44, 596, 280, 4320, 19447, 44, 1149, 280, 1665, 30, 10214, 44, 596, 280, 1665, 30, 3226, 686, 94, 44, 596, 280, 1665, 30, 2532, 81, 1170, 44, 596, 280, 7286, 4524, 392, 2532, 81, 1515, 44, 596, 280, 313, 3801, 392, 1938, 81, 891, 44, 629, 280, 225, 35, 34, 34, 30, 3401, 44, 629, 280, 225, 34, 30, 8623, 44, 596, 280, 1665, 30, 2818, 81, 954, 44, 1149, 280, 5518, 2305, 44, 1149, 280, 5518, 9844, 81, 6074, 44, 1560, 280, 2933, 30, 1505, 44, 1560, 280, 2933, 30, 28008, 44, 1560, 280, 3177, 30, 5911, 81, 302, 81, 48719, 44, 1560, 280, 3177, 30, 11474, 44, 596, 280, 313, 641, 392, 829, 967, 5436, 44, 1524, 3192, 4797, 322, 6086, 7176, 372, 322, 3022, 32, 2030, 1182, 322, 2575, 1411, 372, 793, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 429, 2279, 34760, 44, 2404, 438, 2464, 6924, 5964, 499, 753, 596, 2467, 44, 3233, 5955, 461, 21252, 10582, 32, 516, 11110, 432, 1115, 99, 326, 3395, 328, 439, 762, 8512, 2330, 32, 2030, 3065, 526, 312, 4281, 802, 2124, 319, 97, 335, 28, 556, 312, 2604, 2124, 319, 7317, 44, 9328, 8512, 44, 599, 993, 28, 556, 319, 7317, 44, 44633, 548, 31, 4661, 44, 6803, 4094, 8440, 886, 319, 3349, 28, 4134, 438, 9547, 1412, 10297, 5911, 884, 5403, 32, 499, 753, 1149, 19447, 44, 42037, 4376, 372, 2723, 322, 3233, 32, 15622, 526, 312, 225, 38, 1149, 432, 10517, 328, 624, 11061, 42, 38, 308, 34759, 225, 38, 37, 36, 40, 547, 12619, 526, 5746, 623, 319, 300, 686, 94, 8440, 499, 753, 596, 10214, 44, 16281, 14176, 15261, 436, 322, 3233, 30, 328, 624, 26419, 2179, 32, 12619, 526, 5746, 623, 319, 300, 686, 94, 8440, 499, 753, 596, 3226, 686, 94, 44, 3226, 21017, 4134, 372, 4871, 372, 322, 19447, 556, 10214, 3377, 32, 18981, 2078, 308, 2970, 44, 319, 9328, 8512, 32, 3055, 9069, 62, 19419, 28, 711, 203, 319, 330, 4752, 370, 319, 330, 1285, 11941, 370, 319, 330, 3574, 370, 319, 330, 22170, 101, 25, 429, 428, 6870, 7922, 6936, 2330, 415, 2370, 12384, 4246, 25058, 79, 319, 330, 22879, 101, 370, 319, 330, 20490, 2473, 499, 753, 596, 2532, 81, 1170, 44, 22311, 3276, 32, 18981, 2078, 44, 319, 7610, 4524, 950, 5035, 10064, 2340, 428, 5807, 415, 316, 40289, 438, 744, 79, 319, 7610, 10454, 950, 5035, 2401, 1974, 319, 330, 1311, 950, 5035, 1780, 319, 330, 4524, 950, 706, 10064, 2340, 308, 46016, 1665, 27, 319, 330, 10454, 950, 706, 2401, 1974, 2340, 319, 330, 268, 40289, 950, 316, 40289, 6793, 16453, 810, 2330, 428, 5807, 997, 499, 753, 596, 2532, 81, 1515, 44, 22311, 6983, 32, 18981, 2078, 44, 319, 330, 3801, 950, 37053, 319, 330, 9579, 950, 28286, 499, 753, 629, 1938, 81, 891, 44, 17740, 322, 1451, 432, 3276, 32, 36235, 372, 10566, 3043, 3276, 2503, 32, 4101, 786, 44, 225, 35, 34, 34, 32, 499, 753, 629, 3401, 44, 3401, 372, 1477, 1938, 1334, 645, 312, 2818, 3276, 1650, 499, 753, 596, 8623, 44, 8623, 14294, 372, 2761, 544, 499, 753, 1149, 2818, 81, 954, 44, 1149, 432, 5035, 14294, 101, 372, 2761, 544, 499, 753 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7241, 291, 813, 44, 324, 3097, 584, 588, 9261, 14433, 3338, 328, 3772, 40, 38, 308, 641, 555, 272, 32, 12393, 32, 1088, 33, 6419, 33, 1761, 40, 38, 27, 291, 588, 2318, 44, 1913, 555, 4280, 32, 26469, 32, 1088, 33, 916, 33, 21072, 36, 40, 35, 41, 21, 1906, 31, 36, 291, 588, 1471, 5675, 34627, 46987, 1411, 291, 588, 2318, 44, 1913, 555, 4280, 32, 26469, 32, 1088, 33, 916, 33, 21072, 40, 41, 38, 43, 21, 1906, 31, 38, 32, 38, 291, 5797, 280, 3447, 21115, 81, 681, 563, 313, 1580, 81, 12623, 3612, 291, 5759, 280, 3447, 496, 31, 4867, 563, 630, 32, 725, 81, 426, 111, 584, 588, 13256, 1326, 372, 622, 312, 225, 36, 38, 90, 526, 8970, 291, 588, 2318, 44, 1913, 555, 4280, 32, 26469, 32, 1088, 33, 916, 33, 21072, 40, 41, 39, 34, 21, 1906, 31, 36, 291, 804, 81, 965, 280, 313, 641, 555, 314, 32, 24330, 9328, 8512, 32, 508, 33, 10772, 33, 1956, 2296, 1643, 26, 784, 32, 1237, 81, 965, 27, 291, 1596, 44, 324, 4567, 280, 630, 32, 1526, 26, 400, 804, 81, 965, 30, 400, 3796, 4310, 1580, 81, 314, 30, 2043, 81, 7241, 471, 400, 4826, 47, 1816, 30, 400, 706, 47, 6263, 30, 400, 44028, 47, 784, 32, 46466, 30, 400, 6144, 47, 784, 32, 6482, 30, 324, 829, 291, 2940, 9476, 924, 619, 484, 44, 324, 3636, 9476, 924, 440, 2798, 372, 439, 762, 8512, 2484, 20, 313, 7815, 44, 16531, 1643, 26, 87, 490, 584, 588, 2258, 312, 8117, 1505, 291, 1505, 81, 2132, 280, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 3781, 27, 291, 415, 1505, 81, 2132, 610, 225, 35, 44, 324, 3097, 291, 4348, 6937, 26, 1553, 81, 2132, 30, 8825, 27, 461, 2069, 26, 1553, 81, 2132, 27, 610, 225, 36, 44, 324, 3636, 10091, 26, 36, 30, 1505, 81, 2132, 27, 584, 588, 7867, 2857, 291, 630, 32, 1956, 280, 4567, 32, 1260, 346, 584, 588, 1015, 23888, 2340, 429, 32718, 623, 312, 1406, 8951, 432, 225, 35, 34, 23, 291, 23888, 81, 7843, 280, 630, 32, 1956, 32, 371, 440, 22171, 81, 266, 392, 225, 37, 40, 34, 34, 27, 429, 308, 324, 630, 32, 1956, 32, 371, 440, 22171, 81, 266, 392, 225, 37, 40, 34, 34, 27, 517, 225, 35, 34, 291, 829, 291, 630, 32, 1956, 1365, 22171, 81, 269, 1446, 280, 7138, 32, 44026, 346, 474, 30784, 26, 324, 6791, 47, 26923, 81, 7843, 291, 829, 584, 588, 943, 432, 1411, 291, 442, 630, 32, 1956, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3233, 26, 630, 30, 2404, 44, 5436, 280, 1665, 30, 2467, 44, 596, 280, 4320, 19447, 44, 1149, 280, 1665, 30, 10214, 44, 596, 280, 1665, 30, 3226, 686, 94, 44, 596, 280, 1665, 30, 2532, 81, 1170, 44, 596, 280, 7286, 4524, 392, 2532, 81, 1515, 44, 596, 280, 313, 3801, 392, 1938, 81, 891, 44, 629, 280, 225, 35, 34, 34, 30, 3401, 44, 629, 280, 225, 34, 30, 8623, 44, 596, 280, 1665, 30, 2818, 81, 954, 44, 1149, 280, 5518, 2305, 44, 1149, 280, 5518, 9844, 81, 6074, 44, 1560, 280, 2933, 30, 1505, 44, 1560, 280, 2933, 30, 28008, 44, 1560, 280, 3177, 30, 5911, 81, 302, 81, 48719, 44, 1560, 280, 3177, 30, 11474, 44, 596, 280, 313, 641, 392, 829, 967, 5436, 44, 1524, 3192, 4797, 322, 6086, 7176, 372, 322, 3022, 32, 2030, 1182, 322, 2575, 1411, 372, 793, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 429, 2279, 34760, 44, 2404, 438, 2464, 6924, 5964, 499, 753, 596, 2467, 44, 3233, 5955, 461, 21252, 10582, 32, 516, 11110, 432, 1115, 99, 326, 3395, 328, 439, 762, 8512, 2330, 32, 2030, 3065, 526, 312, 4281, 802, 2124, 319, 97, 335, 28, 556, 312, 2604, 2124, 319, 7317, 44, 9328, 8512, 44, 599, 993, 28, 556, 319, 7317, 44, 44633, 548, 31, 4661, 44, 6803, 4094, 8440, 886, 319, 3349, 28, 4134, 438, 9547, 1412, 10297, 5911, 884, 5403, 32, 499, 753, 1149, 19447, 44, 42037, 4376, 372, 2723, 322, 3233, 32, 15622, 526, 312, 225, 38, 1149, 432, 10517, 328, 624, 11061, 42, 38, 308, 34759, 225, 38, 37, 36, 40, 547, 12619, 526, 5746, 623, 319, 300, 686, 94, 8440, 499, 753, 596, 10214, 44, 16281, 14176, 15261, 436, 322, 3233, 30, 328, 624, 26419, 2179, 32, 12619, 526, 5746, 623, 319, 300, 686, 94, 8440, 499, 753, 596, 3226, 686, 94, 44, 3226, 21017, 4134, 372, 4871, 372, 322, 19447, 556, 10214, 3377, 32, 18981, 2078, 308, 2970, 44, 319, 9328, 8512, 32, 3055, 9069, 62, 19419, 28, 711, 203, 319, 330, 4752, 370, 319, 330, 1285, 11941, 370, 319, 330, 3574, 370, 319, 330, 22170, 101, 25, 429, 428, 6870, 7922, 6936, 2330, 415, 2370, 12384, 4246, 25058, 79, 319, 330, 22879, 101, 370, 319, 330, 20490, 2473, 499, 753, 596, 2532, 81, 1170, 44, 22311, 3276, 32, 18981, 2078, 44, 319, 7610, 4524, 950, 5035, 10064, 2340, 428, 5807, 415, 316, 40289, 438, 744, 79, 319, 7610, 10454, 950, 5035, 2401, 1974, 319, 330, 1311, 950, 5035, 1780, 319, 330, 4524, 950, 706, 10064, 2340, 308, 46016, 1665, 27, 319, 330, 10454, 950, 706, 2401, 1974, 2340, 319, 330, 268, 40289, 950, 316, 40289, 6793, 16453, 810, 2330, 428, 5807, 997, 499, 753, 596, 2532, 81, 1515, 44, 22311, 6983, 32, 18981, 2078, 44, 319, 330, 3801, 950, 37053, 319, 330, 9579, 950, 28286, 499, 753, 629, 1938, 81, 891, 44, 17740, 322, 1451, 432, 3276, 32, 36235, 372, 10566, 3043, 3276, 2503, 32, 4101, 786, 44, 225, 35, 34, 34, 32, 499, 753, 629, 3401, 44, 3401, 372, 1477, 1938, 1334, 645, 312, 2818, 3276, 1650, 499, 753, 596, 8623, 44, 8623, 14294, 372, 2761, 544, 499, 753, 1149, 2818, 81, 954, 44, 1149, 432, 5035, 14294, 101, 372, 2761, 544, 499, 753 ]
[ 1149, 2305, 44, 1361, 5379, 688, 1395, 526, 4717, 32, 15622, 526, 312, 1149, 432, 5852, 32, 18981, 2078, 44, 319, 9328, 8512, 32, 7100, 43982, 28, 499, 753, 1560, 9844, 81, 6074, 44, 2470, 372, 442, 1169, 3276, 556, 1755, 322, 1938, 1334, 32, 319, 1815, 28, 810, 4040, 32, 499, 753, 1560, 1505, 44, 2470, 372, 1505, 2467, 3377, 461, 7358, 5097, 4160, 32, 319, 1815, 28, 810, 4040, 32, 499, 753, 1560, 28008, 44, 2470, 372, 14642, 2330, 1789, 810, 7165, 1629, 5911, 544, 322, 24349, 308, 6228, 30132, 81, 314, 27, 499, 753, 1560, 5911, 81, 302, 81, 48719, 44, 2470, 372, 2968, 5911, 619, 1202, 33, 2810, 810, 2761, 32, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 2818, 6086, 2818, 11708, 291, 2818, 81, 954, 280, 26664, 1114, 1553, 81, 2029, 81, 10265, 81, 954, 26, 10265, 81, 954, 27, 584, 588, 1361, 6086, 2818, 11708, 291, 2305, 280, 26664, 1114, 1553, 81, 2029, 81, 6411, 26, 1017, 27, 584, 588, 9933, 1326, 3377, 291, 5797, 280, 301, 324, 7286, 314, 563, 2818, 81, 954, 30, 324, 7286, 1017, 563, 2305, 30, 324, 7286, 1581, 563, 630, 32, 1581, 30, 324, 7286, 3248, 563, 1938, 81, 891, 30, 324, 7286, 2881, 563, 3401, 30, 324, 313, 1501, 563, 19447, 30, 324, 313, 8512, 563, 10214, 30, 324, 313, 2808, 563, 3226, 686, 94, 30, 324, 313, 906, 563, 2532, 81, 1170, 30, 324, 313, 431, 563, 2532, 81, 1515, 30, 324, 313, 99, 563, 2467, 30, 324, 313, 101, 563, 8623, 30, 291, 320, 584, 415, 1505, 44, 324, 26664, 32, 1553, 81, 1357, 81, 5138, 26, 6263, 27, 291, 813, 44, 324, 3097, 584, 588, 3233, 1326, 291, 3233, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 5379, 33, 1903, 2296, 1643, 26, 2836, 30, 630, 32, 1237, 81, 965, 27, 291, 1596, 44, 324, 3233, 81, 2403, 280, 630, 32, 371, 26, 400, 3233, 81, 965, 30, 400, 4826, 47, 784, 32, 2111, 30, 400, 2803, 47, 6263, 30, 400, 44028, 47, 784, 32, 46466, 30, 400, 6144, 47, 784, 32, 6482, 30, 324, 829, 291, 2940, 3268, 619, 484, 44, 324, 5741, 32, 731, 26, 87, 27, 324, 3636, 3268, 584, 588, 8117, 1789, 1505, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 1903, 81, 2403, 27, 584, 588, 4551, 6183, 1056, 1991, 5436, 461, 21544, 6086, 328, 4886, 291, 3233, 81, 26701, 280, 3233, 81, 2403, 32, 1260, 346, 291, 6086, 81, 998, 280, 3233, 81, 26701, 32, 371, 440, 2999, 657, 225, 588, 3380, 432, 3279, 27165, 302, 7176, 584, 588, 9933, 439, 762, 8512, 2330, 19628, 291, 588, 2318, 44, 1913, 555, 4756, 32, 9328, 8512, 32, 508, 33, 1237, 33, 2173, 33, 9147, 33, 13253, 32, 916, 291, 415, 6086, 81, 998, 848, 1938, 81, 891, 461, 9844, 81, 6074, 44, 324, 588, 415, 2330, 4717, 1829, 2784, 1591, 1938, 432, 3276, 30, 1207, 1182, 622, 322, 6109, 19, 324, 3279, 27165, 302, 280, 1605, 225, 588, 312, 20883, 1149, 324, 5797, 1365, 81, 3248, 1446, 280, 225, 35, 34, 34, 225, 588, 2464, 561, 4621, 622, 7853, 432, 225, 35, 34, 34, 6086, 324, 588, 1207, 1182, 3185, 7853, 324, 436, 5417, 328, 2155, 26, 34, 30, 629, 26, 17682, 26, 5379, 81, 998, 517, 225, 35, 34, 34, 490, 474, 225, 35, 711, 400, 5797, 1365, 81, 2881, 1446, 280, 5417, 319, 225, 35, 34, 34, 400, 3233, 81, 2403, 280, 630, 32, 371, 26, 528, 3233, 81, 965, 30, 528, 4826, 47, 784, 32, 2111, 30, 528, 2803, 47, 6263, 30, 528, 44028, 47, 784, 32, 46466, 30, 528, 6144, 47, 784, 32, 6482, 30, 400, 829, 400, 588, 21544, 3276, 810, 10879, 400, 3279, 27165, 302, 32, 8233, 26, 1903, 81, 2403, 32, 1260, 922, 371, 440, 4295, 2131, 324, 3233, 81, 26701, 1365, 4295, 1446, 280, 3279, 27165, 302, 291, 813, 44, 324, 3097, 584, 588, 1015, 30132, 372, 5911, 461, 2467, 291, 415, 28008, 44, 324, 630, 32, 669, 81, 3963, 81, 29705, 26, 1903, 81, 26701, 32, 371, 440, 3963, 2131, 324, 415, 8623, 44, 400, 3233, 81, 26701, 32, 371, 440, 1217, 657, 1365, 81, 29705, 1446, 280, 428, 6074, 79, 324, 813, 44, 400, 3233, 81, 26701, 32, 371, 440, 1217, 657, 1365, 81, 29705, 1446, 280, 1605, 291, 813, 44, 324, 3097, 584, 588, 2968, 5911, 328, 5436, 101, 291, 415, 5911, 81, 302, 81, 48719, 44, 324, 537, 81, 3963, 280, 8745, 32, 3963, 81, 452, 81, 2665, 26, 400, 5911, 47, 1903, 81, 26701, 32, 371, 440, 3963, 2113, 7323, 81, 1217, 47, 1903, 81, 26701, 32, 371, 440, 1217, 657, 324, 829, 324, 588, 4233, 324, 3233, 81, 26701, 32, 371, 440, 3963, 1895, 3815, 346, 324, 3233, 81, 26701, 32, 371, 440, 1217, 1895, 3815, 346, 324, 588, 1974, 324, 3233, 81, 26701, 32, 371, 440, 3963, 1895, 1877, 26, 890, 81, 3963, 77, 34, 1130, 324, 3233, 81, 26701, 32, 371, 440, 1217, 1895, 1877, 26, 890, 81, 3963, 77, 35, 1130, 291, 813, 44, 324, 3097, 291, 588, 943, 432, 1411, 291, 442, 3233, 81, 26701, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2869, 26, 630, 30, 2404, 44, 5436, 280, 1665, 30, 804, 81, 3142, 44, 596, 280, 1665, 30, 1361, 3142, 47, 2521, 30, 2305, 44, 1149, 280, 5518, 11474, 44, 596, 280, 313, 641, 392, 829, 967, 5436, 44, 1524, 936, 6153, 556, 7360, 5035, 2625, 1591, 2818, 2869, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 804, 81, 3142, 44, 5035, 14294, 372, 622, 499, 753, 1149, 2305, 44, 1361, 5379, 688, 1395, 526, 5964, 32, 15622, 526, 312, 1149, 432, 5852, 32, 18981, 2078, 44, 330, 9328, 8512, 32, 7100, 43982 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1149, 2305, 44, 1361, 5379, 688, 1395, 526, 4717, 32, 15622, 526, 312, 1149, 432, 5852, 32, 18981, 2078, 44, 319, 9328, 8512, 32, 7100, 43982, 28, 499, 753, 1560, 9844, 81, 6074, 44, 2470, 372, 442, 1169, 3276, 556, 1755, 322, 1938, 1334, 32, 319, 1815, 28, 810, 4040, 32, 499, 753, 1560, 1505, 44, 2470, 372, 1505, 2467, 3377, 461, 7358, 5097, 4160, 32, 319, 1815, 28, 810, 4040, 32, 499, 753, 1560, 28008, 44, 2470, 372, 14642, 2330, 1789, 810, 7165, 1629, 5911, 544, 322, 24349, 308, 6228, 30132, 81, 314, 27, 499, 753, 1560, 5911, 81, 302, 81, 48719, 44, 2470, 372, 2968, 5911, 619, 1202, 33, 2810, 810, 2761, 32, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 2818, 6086, 2818, 11708, 291, 2818, 81, 954, 280, 26664, 1114, 1553, 81, 2029, 81, 10265, 81, 954, 26, 10265, 81, 954, 27, 584, 588, 1361, 6086, 2818, 11708, 291, 2305, 280, 26664, 1114, 1553, 81, 2029, 81, 6411, 26, 1017, 27, 584, 588, 9933, 1326, 3377, 291, 5797, 280, 301, 324, 7286, 314, 563, 2818, 81, 954, 30, 324, 7286, 1017, 563, 2305, 30, 324, 7286, 1581, 563, 630, 32, 1581, 30, 324, 7286, 3248, 563, 1938, 81, 891, 30, 324, 7286, 2881, 563, 3401, 30, 324, 313, 1501, 563, 19447, 30, 324, 313, 8512, 563, 10214, 30, 324, 313, 2808, 563, 3226, 686, 94, 30, 324, 313, 906, 563, 2532, 81, 1170, 30, 324, 313, 431, 563, 2532, 81, 1515, 30, 324, 313, 99, 563, 2467, 30, 324, 313, 101, 563, 8623, 30, 291, 320, 584, 415, 1505, 44, 324, 26664, 32, 1553, 81, 1357, 81, 5138, 26, 6263, 27, 291, 813, 44, 324, 3097, 584, 588, 3233, 1326, 291, 3233, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 5379, 33, 1903, 2296, 1643, 26, 2836, 30, 630, 32, 1237, 81, 965, 27, 291, 1596, 44, 324, 3233, 81, 2403, 280, 630, 32, 371, 26, 400, 3233, 81, 965, 30, 400, 4826, 47, 784, 32, 2111, 30, 400, 2803, 47, 6263, 30, 400, 44028, 47, 784, 32, 46466, 30, 400, 6144, 47, 784, 32, 6482, 30, 324, 829, 291, 2940, 3268, 619, 484, 44, 324, 5741, 32, 731, 26, 87, 27, 324, 3636, 3268, 584, 588, 8117, 1789, 1505, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 1903, 81, 2403, 27, 584, 588, 4551, 6183, 1056, 1991, 5436, 461, 21544, 6086, 328, 4886, 291, 3233, 81, 26701, 280, 3233, 81, 2403, 32, 1260, 346, 291, 6086, 81, 998, 280, 3233, 81, 26701, 32, 371, 440, 2999, 657, 225, 588, 3380, 432, 3279, 27165, 302, 7176, 584, 588, 9933, 439, 762, 8512, 2330, 19628, 291, 588, 2318, 44, 1913, 555, 4756, 32, 9328, 8512, 32, 508, 33, 1237, 33, 2173, 33, 9147, 33, 13253, 32, 916, 291, 415, 6086, 81, 998, 848, 1938, 81, 891, 461, 9844, 81, 6074, 44, 324, 588, 415, 2330, 4717, 1829, 2784, 1591, 1938, 432, 3276, 30, 1207, 1182, 622, 322, 6109, 19, 324, 3279, 27165, 302, 280, 1605, 225, 588, 312, 20883, 1149, 324, 5797, 1365, 81, 3248, 1446, 280, 225, 35, 34, 34, 225, 588, 2464, 561, 4621, 622, 7853, 432, 225, 35, 34, 34, 6086, 324, 588, 1207, 1182, 3185, 7853, 324, 436, 5417, 328, 2155, 26, 34, 30, 629, 26, 17682, 26, 5379, 81, 998, 517, 225, 35, 34, 34, 490, 474, 225, 35, 711, 400, 5797, 1365, 81, 2881, 1446, 280, 5417, 319, 225, 35, 34, 34, 400, 3233, 81, 2403, 280, 630, 32, 371, 26, 528, 3233, 81, 965, 30, 528, 4826, 47, 784, 32, 2111, 30, 528, 2803, 47, 6263, 30, 528, 44028, 47, 784, 32, 46466, 30, 528, 6144, 47, 784, 32, 6482, 30, 400, 829, 400, 588, 21544, 3276, 810, 10879, 400, 3279, 27165, 302, 32, 8233, 26, 1903, 81, 2403, 32, 1260, 922, 371, 440, 4295, 2131, 324, 3233, 81, 26701, 1365, 4295, 1446, 280, 3279, 27165, 302, 291, 813, 44, 324, 3097, 584, 588, 1015, 30132, 372, 5911, 461, 2467, 291, 415, 28008, 44, 324, 630, 32, 669, 81, 3963, 81, 29705, 26, 1903, 81, 26701, 32, 371, 440, 3963, 2131, 324, 415, 8623, 44, 400, 3233, 81, 26701, 32, 371, 440, 1217, 657, 1365, 81, 29705, 1446, 280, 428, 6074, 79, 324, 813, 44, 400, 3233, 81, 26701, 32, 371, 440, 1217, 657, 1365, 81, 29705, 1446, 280, 1605, 291, 813, 44, 324, 3097, 584, 588, 2968, 5911, 328, 5436, 101, 291, 415, 5911, 81, 302, 81, 48719, 44, 324, 537, 81, 3963, 280, 8745, 32, 3963, 81, 452, 81, 2665, 26, 400, 5911, 47, 1903, 81, 26701, 32, 371, 440, 3963, 2113, 7323, 81, 1217, 47, 1903, 81, 26701, 32, 371, 440, 1217, 657, 324, 829, 324, 588, 4233, 324, 3233, 81, 26701, 32, 371, 440, 3963, 1895, 3815, 346, 324, 3233, 81, 26701, 32, 371, 440, 1217, 1895, 3815, 346, 324, 588, 1974, 324, 3233, 81, 26701, 32, 371, 440, 3963, 1895, 1877, 26, 890, 81, 3963, 77, 34, 1130, 324, 3233, 81, 26701, 32, 371, 440, 1217, 1895, 1877, 26, 890, 81, 3963, 77, 35, 1130, 291, 813, 44, 324, 3097, 291, 588, 943, 432, 1411, 291, 442, 3233, 81, 26701, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2869, 26, 630, 30, 2404, 44, 5436, 280, 1665, 30, 804, 81, 3142, 44, 596, 280, 1665, 30, 1361, 3142, 47, 2521, 30, 2305, 44, 1149, 280, 5518, 11474, 44, 596, 280, 313, 641, 392, 829, 967, 5436, 44, 1524, 936, 6153, 556, 7360, 5035, 2625, 1591, 2818, 2869, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 804, 81, 3142, 44, 5035, 14294, 372, 622, 499, 753, 1149, 2305, 44, 1361, 5379, 688, 1395, 526, 5964, 32, 15622, 526, 312, 1149, 432, 5852, 32, 18981, 2078, 44, 330, 9328, 8512, 32, 7100, 43982 ]
[ 25, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 415, 1361, 3142, 5543, 291, 415, 6937, 26, 1113, 3142, 30, 596, 711, 324, 1361, 3142, 280, 2430, 40637, 1643, 26, 17099, 1114, 1553, 81, 1113, 3142, 26, 1113, 3142, 490, 291, 813, 44, 324, 1361, 3142, 280, 3330, 324, 588, 617, 6411, 2818, 11708, 324, 2305, 280, 26664, 1114, 1553, 81, 2029, 81, 6411, 26, 1017, 27, 584, 588, 9933, 1326, 3377, 291, 5797, 280, 3447, 314, 563, 804, 81, 3142, 30, 7286, 1017, 563, 2305, 111, 291, 588, 2869, 3233, 291, 8735, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 5379, 22298, 40637, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 804, 81, 3142, 30, 1361, 3142, 291, 829, 291, 2869, 81, 2403, 280, 630, 32, 371, 26, 324, 8735, 81, 965, 30, 324, 4826, 47, 784, 32, 2111, 30, 324, 2803, 47, 6263, 30, 324, 44028, 47, 784, 32, 46466, 30, 324, 6144, 47, 784, 32, 6482, 30, 291, 829, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 3142, 81, 2403, 27, 584, 588, 943, 432, 1411, 291, 442, 2869, 81, 2403, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 30132, 26, 784, 30, 2404, 44, 5436, 280, 1665, 30, 11474, 44, 596, 280, 313, 641, 657, 967, 5436, 44, 1524, 936, 2471, 2625, 30132, 1510, 6985, 322, 3022, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 13256, 3796, 3395, 291, 30132, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 29705, 33, 2296, 1643, 26, 2836, 30, 630, 32, 1237, 81, 965, 27, 291, 30132, 81, 2403, 280, 630, 32, 371, 26, 324, 30132, 81, 965, 30, 4826, 47, 784, 32, 2111, 30, 44028, 47, 784, 32, 46466, 30, 6144, 47, 784, 32, 6482, 291, 829, 584, 588, 11056, 1789, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 29705, 81, 2403, 27, 584, 588, 943, 432, 1411, 291, 442, 30132, 81, 2403, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8623, 26, 630, 30, 8623, 81, 314, 44, 596, 30, 2404, 44, 5436, 280, 1665, 30, 28008, 44, 1560, 280, 3177, 30, 11474, 44, 596, 280, 313, 641, 392, 829, 967, 5436, 44, 1524, 936, 2471, 2625, 312, 2818, 8623, 461, 2819, 9264, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 8623, 81, 314, 44, 8623, 14294, 499, 753, 1560, 28008, 44, 2470, 372, 14642, 2330, 1789, 810, 7165, 1629, 5911, 544, 322, 24349, 32, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 13256, 3796, 3395, 291, 8623, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 29705, 22298, 2296, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 8623, 81, 314, 291, 829, 291, 8623, 81, 2403, 280, 630, 32, 371, 26, 324, 8623, 81, 965, 30, 4826, 47, 784, 32, 2111, 30, 44028, 47, 784, 32, 46466, 30, 6144, 47, 784, 32, 6482, 291, 829, 584, 588, 11056, 1789, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 6074, 81, 2403, 27, 584, 588, 22631, 8623, 1542, 291, 8623, 280, 8623, 81, 2403, 32, 1260, 346, 291, 415, 28008, 44, 324, 8623, 280, 8745, 32, 6074, 81, 407, 1610, 26, 400, 8623, 30, 630, 32, 1903, 26, 34647, 81, 6074, 47, 35, 30, 8623, 47, 6074, 81, 314, 547, 371, 440, 4295, 657, 324, 829, 291, 813, 44, 324, 3097, 584, 588, 943, 432, 1411, 291, 442, 8623, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 12821, 26, 630, 30, 2404, 44, 5436, 280, 1665, 30, 7423, 81, 314, 44, 596, 280, 1665, 30, 11474, 44, 596, 280, 313, 641, 20, 829, 967, 5436, 44, 1524, 936, 2471, 2625, 12821, 25913, 810, 312, 2818, 1389, 1363, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 7423, 81, 314, 44, 1389, 1363, 14294, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 9933, 1326, 3377, 291, 5797, 280, 3447, 15946, 563, 7423, 81, 314, 111, 584, 588, 3233, 1326, 291, 12821, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 6332, 46052, 4188, 2296, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 7423, 81, 314, 291, 829, 291, 12821, 81, 2403, 280, 630, 32, 371, 26, 324, 12821, 81, 965, 30, 324, 4826, 47, 784, 32, 2111, 30, 324, 2803, 47, 6263, 30, 324, 44028, 47, 784, 32, 46466, 30, 324, 6144, 47, 784, 32, 6482, 30, 291, 829, 584, 588, 11056, 1789, 291, 3616, 81, 1553, 280, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 4188, 81, 2403, 27, 291, 415, 6937, 26, 2403, 81, 1553, 30, 8825, 711, 324, 442, 3616, 81, 1553, 584, 588, 943, 432, 1411, 291, 442, 12821, 81, 2403, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3541, 26, 784, 30, 3541, 81, 314, 44, 596, 30, 2404, 44, 5436, 280, 1665, 30, 11474, 44, 596, 280, 313, 641, 657, 967, 5436, 44, 1524, 936, 4245, 2625, 312, 2818, 3541, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 3541 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 415, 1361, 3142, 5543, 291, 415, 6937, 26, 1113, 3142, 30, 596, 711, 324, 1361, 3142, 280, 2430, 40637, 1643, 26, 17099, 1114, 1553, 81, 1113, 3142, 26, 1113, 3142, 490, 291, 813, 44, 324, 1361, 3142, 280, 3330, 324, 588, 617, 6411, 2818, 11708, 324, 2305, 280, 26664, 1114, 1553, 81, 2029, 81, 6411, 26, 1017, 27, 584, 588, 9933, 1326, 3377, 291, 5797, 280, 3447, 314, 563, 804, 81, 3142, 30, 7286, 1017, 563, 2305, 111, 291, 588, 2869, 3233, 291, 8735, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 5379, 22298, 40637, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 804, 81, 3142, 30, 1361, 3142, 291, 829, 291, 2869, 81, 2403, 280, 630, 32, 371, 26, 324, 8735, 81, 965, 30, 324, 4826, 47, 784, 32, 2111, 30, 324, 2803, 47, 6263, 30, 324, 44028, 47, 784, 32, 46466, 30, 324, 6144, 47, 784, 32, 6482, 30, 291, 829, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 3142, 81, 2403, 27, 584, 588, 943, 432, 1411, 291, 442, 2869, 81, 2403, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 30132, 26, 784, 30, 2404, 44, 5436, 280, 1665, 30, 11474, 44, 596, 280, 313, 641, 657, 967, 5436, 44, 1524, 936, 2471, 2625, 30132, 1510, 6985, 322, 3022, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 13256, 3796, 3395, 291, 30132, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 29705, 33, 2296, 1643, 26, 2836, 30, 630, 32, 1237, 81, 965, 27, 291, 30132, 81, 2403, 280, 630, 32, 371, 26, 324, 30132, 81, 965, 30, 4826, 47, 784, 32, 2111, 30, 44028, 47, 784, 32, 46466, 30, 6144, 47, 784, 32, 6482, 291, 829, 584, 588, 11056, 1789, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 29705, 81, 2403, 27, 584, 588, 943, 432, 1411, 291, 442, 30132, 81, 2403, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8623, 26, 630, 30, 8623, 81, 314, 44, 596, 30, 2404, 44, 5436, 280, 1665, 30, 28008, 44, 1560, 280, 3177, 30, 11474, 44, 596, 280, 313, 641, 392, 829, 967, 5436, 44, 1524, 936, 2471, 2625, 312, 2818, 8623, 461, 2819, 9264, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 8623, 81, 314, 44, 8623, 14294, 499, 753, 1560, 28008, 44, 2470, 372, 14642, 2330, 1789, 810, 7165, 1629, 5911, 544, 322, 24349, 32, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 13256, 3796, 3395, 291, 8623, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 29705, 22298, 2296, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 8623, 81, 314, 291, 829, 291, 8623, 81, 2403, 280, 630, 32, 371, 26, 324, 8623, 81, 965, 30, 4826, 47, 784, 32, 2111, 30, 44028, 47, 784, 32, 46466, 30, 6144, 47, 784, 32, 6482, 291, 829, 584, 588, 11056, 1789, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 6074, 81, 2403, 27, 584, 588, 22631, 8623, 1542, 291, 8623, 280, 8623, 81, 2403, 32, 1260, 346, 291, 415, 28008, 44, 324, 8623, 280, 8745, 32, 6074, 81, 407, 1610, 26, 400, 8623, 30, 630, 32, 1903, 26, 34647, 81, 6074, 47, 35, 30, 8623, 47, 6074, 81, 314, 547, 371, 440, 4295, 657, 324, 829, 291, 813, 44, 324, 3097, 584, 588, 943, 432, 1411, 291, 442, 8623, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 12821, 26, 630, 30, 2404, 44, 5436, 280, 1665, 30, 7423, 81, 314, 44, 596, 280, 1665, 30, 11474, 44, 596, 280, 313, 641, 20, 829, 967, 5436, 44, 1524, 936, 2471, 2625, 12821, 25913, 810, 312, 2818, 1389, 1363, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 7423, 81, 314, 44, 1389, 1363, 14294, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 9933, 1326, 3377, 291, 5797, 280, 3447, 15946, 563, 7423, 81, 314, 111, 584, 588, 3233, 1326, 291, 12821, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 6332, 46052, 4188, 2296, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 7423, 81, 314, 291, 829, 291, 12821, 81, 2403, 280, 630, 32, 371, 26, 324, 12821, 81, 965, 30, 324, 4826, 47, 784, 32, 2111, 30, 324, 2803, 47, 6263, 30, 324, 44028, 47, 784, 32, 46466, 30, 324, 6144, 47, 784, 32, 6482, 30, 291, 829, 584, 588, 11056, 1789, 291, 3616, 81, 1553, 280, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 4188, 81, 2403, 27, 291, 415, 6937, 26, 2403, 81, 1553, 30, 8825, 711, 324, 442, 3616, 81, 1553, 584, 588, 943, 432, 1411, 291, 442, 12821, 81, 2403, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3541, 26, 784, 30, 3541, 81, 314, 44, 596, 30, 2404, 44, 5436, 280, 1665, 30, 11474, 44, 596, 280, 313, 641, 657, 967, 5436, 44, 1524, 936, 4245, 2625, 312, 2818, 3541, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 3541 ]
[ 81, 314, 44, 3541, 14294, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 9933, 1326, 3377, 291, 5797, 280, 3447, 29223, 563, 3541, 81, 314, 111, 584, 588, 3233, 1326, 291, 3541, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 4188, 22298, 2296, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 3541, 81, 314, 291, 829, 291, 3541, 81, 2403, 280, 630, 32, 371, 26, 324, 3541, 81, 965, 30, 324, 4826, 47, 784, 32, 2111, 30, 324, 2803, 47, 6263, 30, 324, 44028, 47, 784, 32, 46466, 30, 324, 6144, 47, 784, 32, 6482, 30, 291, 829, 584, 588, 11056, 1789, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 2077, 81, 2403, 27, 584, 588, 943, 432, 1411, 291, 442, 3541, 81, 2403, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 322, 2496, 3423, 26, 784, 30, 2404, 44, 5436, 280, 1665, 30, 11474, 44, 596, 280, 313, 641, 657, 967, 5436, 44, 1524, 936, 1149, 432, 3304, 322, 2496, 3423, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 13256, 3796, 3395, 291, 322, 108, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 1382, 2496, 3423, 2296, 1643, 26, 2836, 30, 630, 32, 1237, 81, 965, 27, 291, 322, 108, 81, 2403, 280, 630, 32, 371, 26, 324, 322, 108, 81, 965, 30, 4826, 47, 784, 32, 2111, 30, 44028, 47, 784, 32, 46466, 30, 6144, 47, 784, 32, 6482, 291, 829, 584, 588, 11056, 1789, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 1382, 108, 81, 2403, 27, 584, 588, 943, 432, 1411, 291, 442, 322, 108, 81, 2403, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 322, 2496, 31625, 26, 630, 30, 2404, 44, 5436, 280, 1665, 30, 322, 108, 81, 314, 44, 596, 280, 313, 35, 40, 35, 40, 39, 43, 41, 41471, 38, 37, 38, 42, 85, 42, 84, 35, 35, 2312, 43, 86, 39, 43, 2161, 39, 43, 38, 85, 42, 392, 11474, 44, 596, 280, 313, 641, 392, 829, 967, 5436, 44, 1524, 936, 312, 322, 2496, 31625, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 322, 108, 81, 314, 44, 322, 2496, 31625, 14294, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 9933, 1326, 3377, 291, 5797, 280, 3447, 12354, 563, 322, 108, 81, 314, 111, 584, 588, 13256, 3796, 3395, 291, 322, 108, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 1382, 2496, 3423, 22298, 2296, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 322, 108, 81, 314, 291, 829, 291, 322, 108, 81, 2403, 280, 630, 32, 371, 26, 324, 322, 108, 81, 965, 30, 324, 4826, 47, 784, 32, 2111, 30, 324, 2803, 47, 6263, 30, 324, 44028, 47, 784, 32, 46466, 30, 324, 6144, 47, 784, 32, 6482, 30, 291, 829, 584, 588, 11056, 1789, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 1382, 108, 81, 2403, 27, 584, 588, 943, 432, 1411, 291, 442, 322, 108, 81, 2403, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 16400, 26, 630, 30, 2404, 44, 5436, 280, 1665, 30, 322, 108, 81, 314, 44, 596, 280, 313, 35, 40, 35, 40, 39, 43, 41, 41471, 38, 37, 38, 42, 85, 42, 84, 35, 35, 2312, 43, 86, 39, 43, 2161, 39, 43, 38, 85, 42, 392, 2467, 44, 596, 280, 4320, 3401, 44, 629, 280, 225, 34, 30, 2532, 81, 1170, 44, 596, 280, 313, 878, 392, 2532, 81, 1515, 44, 596, 280, 313, 3801, 392, 1938, 81, 891, 44, 629, 280, 225, 36, 34, 30, 2818, 81, 954, 44, 1149, 280, 5518, 2818, 81, 2142, 44, 1149, 280, 5518, 2305, 44, 1149, 280, 5518, 11474, 44, 596, 280, 313, 641, 392, 829, 967, 5436, 44, 1524, 3192, 436, 16400, 4797, 312, 2818, 322, 2496, 31625, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 322, 108, 81, 314, 44, 322, 2496, 31625, 14294, 499, 753, 596, 2467, 44, 3233, 5955, 499, 753, 629, 3401, 44, 19628, 1477, 499, 753, 596, 2532, 81, 1170, 44, 3844, 15261, 32, 18981, 2078, 499, 429, 2385, 32, 1363, 30, 429, 2385, 32, 9328, 8512, 30, 429, 1344, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 2818, 6086, 2818, 11708, 291, 2818, 81, 954, 280, 26664, 1114, 1553, 81, 2029, 81, 10265, 81, 954, 26, 10265, 81, 954, 27, 291, 588, 1361, 6086, 2818, 11708, 291, 2305, 280, 26664, 1114, 1553, 81, 2029, 81, 6411, 26, 1017, 30, 313, 7317, 657, 291, 588, 2818, 2604, 2818, 11708, 291, 2818, 81, 2142, 280, 26664, 1114, 1553, 81, 2029, 81, 10265, 81, 2142, 26, 10265, 81, 2142, 27, 584, 588, 9933, 1326, 3377, 291, 5797, 280, 301, 324, 7286, 314, 563, 2818, 81, 954, 30, 324, 7286, 1017, 563, 2305, 30, 324, 7286, 3248, 563, 1938, 81, 891, 30, 324, 7286, 2881, 563, 3401, 30, 324, 7286, 2142, 563, 2818, 81, 2142, 30, 324, 313, 12354, 563, 322, 108, 81, 314, 30, 324, 313, 906, 563, 2532, 81, 1170, 30, 324, 313, 431, 563, 2532, 81, 1515, 30, 324, 313, 99, 563, 2467, 30, 291, 320, 584, 588, 3233 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 81, 314, 44, 3541, 14294, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 9933, 1326, 3377, 291, 5797, 280, 3447, 29223, 563, 3541, 81, 314, 111, 584, 588, 3233, 1326, 291, 3541, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 4188, 22298, 2296, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 3541, 81, 314, 291, 829, 291, 3541, 81, 2403, 280, 630, 32, 371, 26, 324, 3541, 81, 965, 30, 324, 4826, 47, 784, 32, 2111, 30, 324, 2803, 47, 6263, 30, 324, 44028, 47, 784, 32, 46466, 30, 324, 6144, 47, 784, 32, 6482, 30, 291, 829, 584, 588, 11056, 1789, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 2077, 81, 2403, 27, 584, 588, 943, 432, 1411, 291, 442, 3541, 81, 2403, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 322, 2496, 3423, 26, 784, 30, 2404, 44, 5436, 280, 1665, 30, 11474, 44, 596, 280, 313, 641, 657, 967, 5436, 44, 1524, 936, 1149, 432, 3304, 322, 2496, 3423, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 13256, 3796, 3395, 291, 322, 108, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 1382, 2496, 3423, 2296, 1643, 26, 2836, 30, 630, 32, 1237, 81, 965, 27, 291, 322, 108, 81, 2403, 280, 630, 32, 371, 26, 324, 322, 108, 81, 965, 30, 4826, 47, 784, 32, 2111, 30, 44028, 47, 784, 32, 46466, 30, 6144, 47, 784, 32, 6482, 291, 829, 584, 588, 11056, 1789, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 1382, 108, 81, 2403, 27, 584, 588, 943, 432, 1411, 291, 442, 322, 108, 81, 2403, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 322, 2496, 31625, 26, 630, 30, 2404, 44, 5436, 280, 1665, 30, 322, 108, 81, 314, 44, 596, 280, 313, 35, 40, 35, 40, 39, 43, 41, 41471, 38, 37, 38, 42, 85, 42, 84, 35, 35, 2312, 43, 86, 39, 43, 2161, 39, 43, 38, 85, 42, 392, 11474, 44, 596, 280, 313, 641, 392, 829, 967, 5436, 44, 1524, 936, 312, 322, 2496, 31625, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 322, 108, 81, 314, 44, 322, 2496, 31625, 14294, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 9933, 1326, 3377, 291, 5797, 280, 3447, 12354, 563, 322, 108, 81, 314, 111, 584, 588, 13256, 3796, 3395, 291, 322, 108, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 1382, 2496, 3423, 22298, 2296, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 322, 108, 81, 314, 291, 829, 291, 322, 108, 81, 2403, 280, 630, 32, 371, 26, 324, 322, 108, 81, 965, 30, 324, 4826, 47, 784, 32, 2111, 30, 324, 2803, 47, 6263, 30, 324, 44028, 47, 784, 32, 46466, 30, 324, 6144, 47, 784, 32, 6482, 30, 291, 829, 584, 588, 11056, 1789, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 1382, 108, 81, 2403, 27, 584, 588, 943, 432, 1411, 291, 442, 322, 108, 81, 2403, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 16400, 26, 630, 30, 2404, 44, 5436, 280, 1665, 30, 322, 108, 81, 314, 44, 596, 280, 313, 35, 40, 35, 40, 39, 43, 41, 41471, 38, 37, 38, 42, 85, 42, 84, 35, 35, 2312, 43, 86, 39, 43, 2161, 39, 43, 38, 85, 42, 392, 2467, 44, 596, 280, 4320, 3401, 44, 629, 280, 225, 34, 30, 2532, 81, 1170, 44, 596, 280, 313, 878, 392, 2532, 81, 1515, 44, 596, 280, 313, 3801, 392, 1938, 81, 891, 44, 629, 280, 225, 36, 34, 30, 2818, 81, 954, 44, 1149, 280, 5518, 2818, 81, 2142, 44, 1149, 280, 5518, 2305, 44, 1149, 280, 5518, 11474, 44, 596, 280, 313, 641, 392, 829, 967, 5436, 44, 1524, 3192, 436, 16400, 4797, 312, 2818, 322, 2496, 31625, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 322, 108, 81, 314, 44, 322, 2496, 31625, 14294, 499, 753, 596, 2467, 44, 3233, 5955, 499, 753, 629, 3401, 44, 19628, 1477, 499, 753, 596, 2532, 81, 1170, 44, 3844, 15261, 32, 18981, 2078, 499, 429, 2385, 32, 1363, 30, 429, 2385, 32, 9328, 8512, 30, 429, 1344, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 2818, 6086, 2818, 11708, 291, 2818, 81, 954, 280, 26664, 1114, 1553, 81, 2029, 81, 10265, 81, 954, 26, 10265, 81, 954, 27, 291, 588, 1361, 6086, 2818, 11708, 291, 2305, 280, 26664, 1114, 1553, 81, 2029, 81, 6411, 26, 1017, 30, 313, 7317, 657, 291, 588, 2818, 2604, 2818, 11708, 291, 2818, 81, 2142, 280, 26664, 1114, 1553, 81, 2029, 81, 10265, 81, 2142, 26, 10265, 81, 2142, 27, 584, 588, 9933, 1326, 3377, 291, 5797, 280, 301, 324, 7286, 314, 563, 2818, 81, 954, 30, 324, 7286, 1017, 563, 2305, 30, 324, 7286, 3248, 563, 1938, 81, 891, 30, 324, 7286, 2881, 563, 3401, 30, 324, 7286, 2142, 563, 2818, 81, 2142, 30, 324, 313, 12354, 563, 322, 108, 81, 314, 30, 324, 313, 906, 563, 2532, 81, 1170, 30, 324, 313, 431, 563, 2532, 81, 1515, 30, 324, 313, 99, 563, 2467, 30, 291, 320, 584, 588, 3233 ]
[ 1326, 291, 16400, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 1382, 2496, 3423, 46052, 7255, 33, 1903, 2296, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 322, 108, 81, 314, 291, 829, 584, 8556, 3210, 81, 2403, 280, 630, 32, 371, 26, 324, 16400, 81, 965, 30, 324, 4826, 47, 784, 32, 2111, 30, 324, 2803, 47, 6263, 30, 324, 44028, 47, 784, 32, 46466, 30, 324, 6144, 47, 784, 32, 6482, 30, 291, 829, 584, 588, 11056, 1789, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 38103, 81, 2403, 27, 584, 588, 943, 432, 1411, 291, 442, 8556, 3210, 81, 2403, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 20927, 81, 28561, 26, 630, 30, 2404, 44, 5436, 280, 1665, 30, 2869, 81, 1204, 44, 5436, 280, 1665, 30, 9336, 81, 6008, 44, 1560, 280, 225, 35, 30, 7664, 81, 965, 44, 596, 280, 1665, 30, 11474, 44, 596, 280, 313, 641, 392, 829, 967, 8825, 44, 1524, 7495, 25966, 2869, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 5436, 2869, 81, 1204, 44, 2552, 9473, 499, 753, 1560, 9336, 81, 6008, 44, 2470, 372, 7279, 312, 5063, 4870, 461, 7358, 6642, 3878, 499, 753, 596, 7664, 81, 965, 44, 7664, 372, 793, 372, 5822, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 5938, 432, 2869, 81, 1204, 5436, 44, 4377, 1340, 31, 1521, 403, 2361, 301, 7286, 314, 563, 313, 89, 42, 90, 43, 91, 34, 92, 35, 35, 93, 35, 36, 94, 35, 37, 95, 35, 38, 96, 35, 39, 97, 35, 40, 98, 35, 41, 67, 35, 42, 100, 69, 392, 313, 681, 563, 313, 28561, 392, 313, 1311, 563, 313, 1172, 81, 1028, 81, 28561, 81, 761, 32, 3969, 392, 313, 965, 563, 2430, 5379, 33, 35, 83, 36, 84, 37, 85, 38, 86, 39, 87, 40, 88, 41, 89, 42, 90, 43, 91, 34, 92, 35, 35, 93, 35, 36, 94, 35, 37, 95, 35, 38, 96, 33, 7676, 33, 89, 42, 90, 43, 91, 34, 92, 35, 35, 93, 35, 36, 94, 35, 37, 95, 35, 38, 96, 35, 39, 97, 35, 40, 98, 35, 41, 67, 35, 42, 100, 69, 32, 1771, 392, 313, 5462, 563, 313, 605, 392, 313, 3543, 563, 3037, 4984, 392, 2505, 313, 891, 563, 313, 36, 36, 39, 37, 34, 36, 43, 392, 320, 1524, 584, 588, 1505, 2869, 2552, 3395, 827, 291, 415, 646, 6937, 26, 3142, 81, 1204, 30, 5436, 711, 324, 3636, 12678, 440, 2291, 2552, 23119, 312, 9473, 7144, 291, 813, 44, 324, 3097, 291, 588, 1505, 2869, 2552, 827, 291, 415, 646, 2869, 81, 1204, 32, 371, 440, 681, 657, 610, 313, 28561, 563, 324, 3636, 10091, 26, 400, 313, 2291, 2552, 5403, 438, 646, 312, 25966, 1591, 44, 16531, 1643, 26, 528, 2869, 81, 1204, 32, 371, 440, 681, 657, 400, 829, 324, 829, 291, 813, 44, 324, 3097, 584, 588, 9933, 1326, 3377, 291, 5797, 280, 3447, 5866, 2205, 563, 7664, 81, 965, 111, 584, 588, 11656, 3834, 1326, 291, 25966, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 22298, 2296, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 2869, 81, 1204, 32, 371, 440, 965, 657, 291, 829, 584, 588, 3240, 3443, 1326, 291, 25966, 81, 2403, 280, 630, 32, 371, 26, 324, 25966, 81, 965, 30, 324, 4826, 47, 784, 32, 2111, 30, 324, 3443, 47, 1815, 30, 324, 2803, 47, 6263, 30, 324, 44028, 47, 784, 32, 46466, 30, 324, 6144, 47, 784, 32, 6482, 30, 291, 829, 291, 588, 8271, 1505, 291, 3616, 81, 1553, 280, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 28561, 81, 2403, 27, 291, 415, 646, 3616, 81, 1553, 44, 324, 3636, 9476, 924, 26, 2403, 81, 1553, 77, 35, 1130, 291, 813, 44, 324, 3097, 584, 588, 622, 4870, 645, 3338, 291, 1795, 81, 1285, 2705, 280, 25966, 81, 2403, 32, 5078, 32, 371, 440, 1777, 31, 30663, 657, 291, 415, 1795, 81, 1285, 2705, 44, 324, 4870, 280, 316, 32, 32852, 440, 3607, 4310, 33581, 5715, 1795, 81, 1285, 2705, 5594, 34, 79, 291, 813, 44, 324, 4870, 280, 2869, 81, 1204, 32, 371, 440, 1311, 657, 584, 588, 3345, 7456, 7125, 291, 415, 9336, 81, 6008, 44, 324, 4870, 280, 8745, 32, 12596, 81, 4068, 81, 452, 81, 878, 26, 3607, 27, 324, 4870, 280, 316, 32, 1113, 26, 100, 20, 41727, 105, 11466, 81, 8169, 1481, 392, 4320, 4870, 27, 584, 588, 4487, 31, 6003, 1334, 291, 328, 81, 891, 280, 2869, 81, 1204, 32, 371, 440, 891, 657, 291, 436, 1334, 81, 2579, 328, 2884, 13193, 5231, 392, 313, 27090, 392, 313, 8849, 392, 313, 6098, 10280, 324, 415, 328, 81, 891, 333, 225, 35, 34, 36, 38, 32, 34, 44, 400, 963, 81, 891, 280, 5461, 37, 32, 35, 88, 904, 101, 20, 904, 308, 266, 81, 891, 30, 1334, 81, 2579, 27, 324, 328, 81, 891, 14374, 225, 35, 34, 36, 38, 32, 34, 584, 963, 81, 891, 280, 5461, 37, 32, 35, 88, 904, 101, 20, 904, 308, 266, 81, 891, 30, 313, 2614, 657, 584, 588, 943, 432, 1411, 291, 442, 308, 28561, 81, 2403, 30, 4870, 30, 963, 81, 891, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5592, 35, 43, 35, 37, 43, 26, 630, 30, 2404, 44, 5436, 280, 1665, 30, 804, 81, 3142, 44, 596, 280, 1665, 30, 7664, 81, 965, 47, 2521, 30, 11474, 44, 596, 280, 313, 641, 392, 8063, 203, 1524, 936, 2869, 21148, 1991, 7402, 19687, 225, 35, 43, 35, 37, 43, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1326, 291, 16400, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 1382, 2496, 3423, 46052, 7255, 33, 1903, 2296, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 322, 108, 81, 314, 291, 829, 584, 8556, 3210, 81, 2403, 280, 630, 32, 371, 26, 324, 16400, 81, 965, 30, 324, 4826, 47, 784, 32, 2111, 30, 324, 2803, 47, 6263, 30, 324, 44028, 47, 784, 32, 46466, 30, 324, 6144, 47, 784, 32, 6482, 30, 291, 829, 584, 588, 11056, 1789, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 38103, 81, 2403, 27, 584, 588, 943, 432, 1411, 291, 442, 8556, 3210, 81, 2403, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 20927, 81, 28561, 26, 630, 30, 2404, 44, 5436, 280, 1665, 30, 2869, 81, 1204, 44, 5436, 280, 1665, 30, 9336, 81, 6008, 44, 1560, 280, 225, 35, 30, 7664, 81, 965, 44, 596, 280, 1665, 30, 11474, 44, 596, 280, 313, 641, 392, 829, 967, 8825, 44, 1524, 7495, 25966, 2869, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 5436, 2869, 81, 1204, 44, 2552, 9473, 499, 753, 1560, 9336, 81, 6008, 44, 2470, 372, 7279, 312, 5063, 4870, 461, 7358, 6642, 3878, 499, 753, 596, 7664, 81, 965, 44, 7664, 372, 793, 372, 5822, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 5938, 432, 2869, 81, 1204, 5436, 44, 4377, 1340, 31, 1521, 403, 2361, 301, 7286, 314, 563, 313, 89, 42, 90, 43, 91, 34, 92, 35, 35, 93, 35, 36, 94, 35, 37, 95, 35, 38, 96, 35, 39, 97, 35, 40, 98, 35, 41, 67, 35, 42, 100, 69, 392, 313, 681, 563, 313, 28561, 392, 313, 1311, 563, 313, 1172, 81, 1028, 81, 28561, 81, 761, 32, 3969, 392, 313, 965, 563, 2430, 5379, 33, 35, 83, 36, 84, 37, 85, 38, 86, 39, 87, 40, 88, 41, 89, 42, 90, 43, 91, 34, 92, 35, 35, 93, 35, 36, 94, 35, 37, 95, 35, 38, 96, 33, 7676, 33, 89, 42, 90, 43, 91, 34, 92, 35, 35, 93, 35, 36, 94, 35, 37, 95, 35, 38, 96, 35, 39, 97, 35, 40, 98, 35, 41, 67, 35, 42, 100, 69, 32, 1771, 392, 313, 5462, 563, 313, 605, 392, 313, 3543, 563, 3037, 4984, 392, 2505, 313, 891, 563, 313, 36, 36, 39, 37, 34, 36, 43, 392, 320, 1524, 584, 588, 1505, 2869, 2552, 3395, 827, 291, 415, 646, 6937, 26, 3142, 81, 1204, 30, 5436, 711, 324, 3636, 12678, 440, 2291, 2552, 23119, 312, 9473, 7144, 291, 813, 44, 324, 3097, 291, 588, 1505, 2869, 2552, 827, 291, 415, 646, 2869, 81, 1204, 32, 371, 440, 681, 657, 610, 313, 28561, 563, 324, 3636, 10091, 26, 400, 313, 2291, 2552, 5403, 438, 646, 312, 25966, 1591, 44, 16531, 1643, 26, 528, 2869, 81, 1204, 32, 371, 440, 681, 657, 400, 829, 324, 829, 291, 813, 44, 324, 3097, 584, 588, 9933, 1326, 3377, 291, 5797, 280, 3447, 5866, 2205, 563, 7664, 81, 965, 111, 584, 588, 11656, 3834, 1326, 291, 25966, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 22298, 2296, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 2869, 81, 1204, 32, 371, 440, 965, 657, 291, 829, 584, 588, 3240, 3443, 1326, 291, 25966, 81, 2403, 280, 630, 32, 371, 26, 324, 25966, 81, 965, 30, 324, 4826, 47, 784, 32, 2111, 30, 324, 3443, 47, 1815, 30, 324, 2803, 47, 6263, 30, 324, 44028, 47, 784, 32, 46466, 30, 324, 6144, 47, 784, 32, 6482, 30, 291, 829, 291, 588, 8271, 1505, 291, 3616, 81, 1553, 280, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 28561, 81, 2403, 27, 291, 415, 646, 3616, 81, 1553, 44, 324, 3636, 9476, 924, 26, 2403, 81, 1553, 77, 35, 1130, 291, 813, 44, 324, 3097, 584, 588, 622, 4870, 645, 3338, 291, 1795, 81, 1285, 2705, 280, 25966, 81, 2403, 32, 5078, 32, 371, 440, 1777, 31, 30663, 657, 291, 415, 1795, 81, 1285, 2705, 44, 324, 4870, 280, 316, 32, 32852, 440, 3607, 4310, 33581, 5715, 1795, 81, 1285, 2705, 5594, 34, 79, 291, 813, 44, 324, 4870, 280, 2869, 81, 1204, 32, 371, 440, 1311, 657, 584, 588, 3345, 7456, 7125, 291, 415, 9336, 81, 6008, 44, 324, 4870, 280, 8745, 32, 12596, 81, 4068, 81, 452, 81, 878, 26, 3607, 27, 324, 4870, 280, 316, 32, 1113, 26, 100, 20, 41727, 105, 11466, 81, 8169, 1481, 392, 4320, 4870, 27, 584, 588, 4487, 31, 6003, 1334, 291, 328, 81, 891, 280, 2869, 81, 1204, 32, 371, 440, 891, 657, 291, 436, 1334, 81, 2579, 328, 2884, 13193, 5231, 392, 313, 27090, 392, 313, 8849, 392, 313, 6098, 10280, 324, 415, 328, 81, 891, 333, 225, 35, 34, 36, 38, 32, 34, 44, 400, 963, 81, 891, 280, 5461, 37, 32, 35, 88, 904, 101, 20, 904, 308, 266, 81, 891, 30, 1334, 81, 2579, 27, 324, 328, 81, 891, 14374, 225, 35, 34, 36, 38, 32, 34, 584, 963, 81, 891, 280, 5461, 37, 32, 35, 88, 904, 101, 20, 904, 308, 266, 81, 891, 30, 313, 2614, 657, 584, 588, 943, 432, 1411, 291, 442, 308, 28561, 81, 2403, 30, 4870, 30, 963, 81, 891, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5592, 35, 43, 35, 37, 43, 26, 630, 30, 2404, 44, 5436, 280, 1665, 30, 804, 81, 3142, 44, 596, 280, 1665, 30, 7664, 81, 965, 47, 2521, 30, 11474, 44, 596, 280, 313, 641, 392, 8063, 203, 1524, 936, 2869, 21148, 1991, 7402, 19687, 225, 35, 43, 35, 37, 43, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404 ]
[ 499, 753, 596, 804, 81, 3142, 44, 5035, 14294, 372, 4166, 499, 753, 596, 7664, 81, 965, 44, 7664, 372, 793, 372, 5822, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 1505, 5035, 14294, 291, 415, 646, 26664, 32, 1553, 81, 297, 81, 6572, 26, 314, 81, 3142, 711, 324, 3636, 10091, 440, 4097, 2484, 438, 646, 312, 3809, 14294, 7144, 291, 813, 44, 324, 3097, 584, 588, 9933, 1326, 3377, 291, 5797, 280, 3447, 5866, 2205, 563, 7664, 81, 965, 30, 313, 314, 563, 804, 81, 3142, 111, 584, 588, 2869, 3233, 291, 8735, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 5379, 22298, 32, 2593, 2296, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 804, 81, 3142, 291, 829, 291, 5592, 81, 2403, 280, 630, 32, 371, 26, 324, 8735, 81, 965, 30, 324, 4826, 47, 784, 32, 2111, 30, 324, 3443, 47, 1815, 30, 324, 2803, 47, 6263, 30, 324, 44028, 47, 784, 32, 46466, 30, 324, 6144, 47, 784, 32, 6482, 30, 291, 829, 584, 588, 943, 432, 1411, 291, 442, 5592, 81, 2403, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1015, 81, 3963, 81, 29705, 26, 784, 30, 5911, 44, 5436, 280, 5436, 22805, 203, 1524, 1103, 30132, 1149, 372, 322, 5911, 5414, 328, 3233, 3276, 32, 499, 753, 5436, 5911, 44, 5911, 9473, 645, 312, 3233, 1326, 1524, 584, 588, 1505, 415, 30132, 81, 314, 1159, 3425, 2583, 19210, 556, 646, 291, 415, 646, 19326, 26, 784, 30, 313, 29705, 81, 314, 10280, 324, 30132, 280, 630, 32, 29705, 346, 324, 630, 32, 29705, 81, 314, 280, 301, 400, 313, 6074, 19189, 2296, 1643, 26, 91, 32, 371, 14715, 314, 2131, 44, 595, 32, 371, 440, 426, 657, 436, 595, 328, 30132, 324, 320, 291, 813, 44, 324, 3097, 291, 588, 1974, 2467, 5911, 291, 5911, 32, 1877, 26, 784, 32, 29705, 81, 314, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 725, 81, 4642, 26, 784, 30, 2404, 44, 5436, 280, 1665, 30, 11474, 44, 596, 280, 313, 641, 10280, 203, 1524, 936, 2471, 2625, 322, 3022, 17103, 544, 439, 762, 8512, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 1505, 415, 1123, 4308, 1159, 3425, 2583, 19210, 556, 646, 291, 415, 646, 19326, 26, 784, 30, 313, 725, 81, 4642, 10280, 324, 1932, 81, 725, 280, 630, 32, 29705, 8532, 34, 997, 371, 440, 19005, 16050, 34, 79, 324, 1123, 280, 301, 400, 313, 2300, 81, 965, 563, 19436, 33, 19005, 22298, 2296, 1643, 26, 528, 630, 32, 95, 1140, 81, 965, 30, 1932, 81, 725, 32, 371, 14715, 314, 657, 400, 2588, 400, 313, 16777, 81, 770, 563, 1932, 81, 725, 32, 371, 14715, 4524, 2113, 400, 313, 2135, 81, 1877, 563, 1932, 81, 725, 32, 371, 14715, 10454, 2113, 400, 313, 426, 563, 1932, 81, 725, 32, 371, 440, 426, 2113, 400, 313, 681, 563, 1932, 81, 725, 32, 371, 440, 681, 2113, 400, 313, 5462, 563, 1932, 81, 725, 32, 371, 440, 5462, 2113, 400, 313, 965, 563, 1932, 81, 725, 32, 371, 440, 965, 2113, 324, 320, 324, 630, 32, 725, 81, 4642, 280, 1123, 291, 813, 44, 324, 3097, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 33436, 26, 784, 30, 2404, 44, 5436, 280, 1665, 30, 11474, 44, 596, 280, 313, 641, 657, 967, 5436, 44, 1524, 936, 4706, 30914, 1510, 4042, 1236, 11927, 613, 5183, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 3233, 1326, 291, 3616, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 33436, 2296, 1643, 26, 2836, 30, 630, 32, 1237, 81, 965, 27, 584, 3616, 280, 630, 32, 371, 26, 324, 3616, 81, 965, 30, 4826, 47, 784, 32, 2111, 30, 44028, 47, 784, 32, 46466, 30, 6144, 47, 784, 32, 6482, 291, 829, 584, 588, 11056, 1789, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 2403, 27, 584, 588, 943, 432, 1411, 291, 442, 3616, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 20603, 81, 17579, 26, 630, 30, 2404, 44, 5436, 280, 1665, 30, 309, 3666, 81, 687, 44, 596, 280, 1665, 30, 11474, 44, 596, 280, 313, 641, 20, 829, 967, 5436, 44, 1524, 936, 3304, 12651, 10737, 328, 439, 762, 8512, 2330, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 309, 3666, 81, 687, 44, 1340, 432, 312, 2818, 12651, 2664, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 415, 2818, 2179, 291, 415, 6937, 26, 44605, 81, 687, 30, 596, 711, 324, 2818, 81, 44605, 280, 2430, 40637, 1643, 26, 44605, 81, 687, 27, 291, 813, 44, 324, 2818, 81, 44605, 280, 3330, 584, 588, 3233, 1326, 291, 3616, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 20603, 31, 17579, 40637, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 2818, 81, 44605, 291, 829, 584, 3616, 280, 630, 32, 371, 26, 324, 3616, 81, 965, 30, 4826, 47, 784, 32, 2111, 30, 44028, 47, 784, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 499, 753, 596, 804, 81, 3142, 44, 5035, 14294, 372, 4166, 499, 753, 596, 7664, 81, 965, 44, 7664, 372, 793, 372, 5822, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 1505, 5035, 14294, 291, 415, 646, 26664, 32, 1553, 81, 297, 81, 6572, 26, 314, 81, 3142, 711, 324, 3636, 10091, 440, 4097, 2484, 438, 646, 312, 3809, 14294, 7144, 291, 813, 44, 324, 3097, 584, 588, 9933, 1326, 3377, 291, 5797, 280, 3447, 5866, 2205, 563, 7664, 81, 965, 30, 313, 314, 563, 804, 81, 3142, 111, 584, 588, 2869, 3233, 291, 8735, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 5379, 22298, 32, 2593, 2296, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 804, 81, 3142, 291, 829, 291, 5592, 81, 2403, 280, 630, 32, 371, 26, 324, 8735, 81, 965, 30, 324, 4826, 47, 784, 32, 2111, 30, 324, 3443, 47, 1815, 30, 324, 2803, 47, 6263, 30, 324, 44028, 47, 784, 32, 46466, 30, 324, 6144, 47, 784, 32, 6482, 30, 291, 829, 584, 588, 943, 432, 1411, 291, 442, 5592, 81, 2403, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1015, 81, 3963, 81, 29705, 26, 784, 30, 5911, 44, 5436, 280, 5436, 22805, 203, 1524, 1103, 30132, 1149, 372, 322, 5911, 5414, 328, 3233, 3276, 32, 499, 753, 5436, 5911, 44, 5911, 9473, 645, 312, 3233, 1326, 1524, 584, 588, 1505, 415, 30132, 81, 314, 1159, 3425, 2583, 19210, 556, 646, 291, 415, 646, 19326, 26, 784, 30, 313, 29705, 81, 314, 10280, 324, 30132, 280, 630, 32, 29705, 346, 324, 630, 32, 29705, 81, 314, 280, 301, 400, 313, 6074, 19189, 2296, 1643, 26, 91, 32, 371, 14715, 314, 2131, 44, 595, 32, 371, 440, 426, 657, 436, 595, 328, 30132, 324, 320, 291, 813, 44, 324, 3097, 291, 588, 1974, 2467, 5911, 291, 5911, 32, 1877, 26, 784, 32, 29705, 81, 314, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 725, 81, 4642, 26, 784, 30, 2404, 44, 5436, 280, 1665, 30, 11474, 44, 596, 280, 313, 641, 10280, 203, 1524, 936, 2471, 2625, 322, 3022, 17103, 544, 439, 762, 8512, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 1505, 415, 1123, 4308, 1159, 3425, 2583, 19210, 556, 646, 291, 415, 646, 19326, 26, 784, 30, 313, 725, 81, 4642, 10280, 324, 1932, 81, 725, 280, 630, 32, 29705, 8532, 34, 997, 371, 440, 19005, 16050, 34, 79, 324, 1123, 280, 301, 400, 313, 2300, 81, 965, 563, 19436, 33, 19005, 22298, 2296, 1643, 26, 528, 630, 32, 95, 1140, 81, 965, 30, 1932, 81, 725, 32, 371, 14715, 314, 657, 400, 2588, 400, 313, 16777, 81, 770, 563, 1932, 81, 725, 32, 371, 14715, 4524, 2113, 400, 313, 2135, 81, 1877, 563, 1932, 81, 725, 32, 371, 14715, 10454, 2113, 400, 313, 426, 563, 1932, 81, 725, 32, 371, 440, 426, 2113, 400, 313, 681, 563, 1932, 81, 725, 32, 371, 440, 681, 2113, 400, 313, 5462, 563, 1932, 81, 725, 32, 371, 440, 5462, 2113, 400, 313, 965, 563, 1932, 81, 725, 32, 371, 440, 965, 2113, 324, 320, 324, 630, 32, 725, 81, 4642, 280, 1123, 291, 813, 44, 324, 3097, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 33436, 26, 784, 30, 2404, 44, 5436, 280, 1665, 30, 11474, 44, 596, 280, 313, 641, 657, 967, 5436, 44, 1524, 936, 4706, 30914, 1510, 4042, 1236, 11927, 613, 5183, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 3233, 1326, 291, 3616, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 33436, 2296, 1643, 26, 2836, 30, 630, 32, 1237, 81, 965, 27, 584, 3616, 280, 630, 32, 371, 26, 324, 3616, 81, 965, 30, 4826, 47, 784, 32, 2111, 30, 44028, 47, 784, 32, 46466, 30, 6144, 47, 784, 32, 6482, 291, 829, 584, 588, 11056, 1789, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 2403, 27, 584, 588, 943, 432, 1411, 291, 442, 3616, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 20603, 81, 17579, 26, 630, 30, 2404, 44, 5436, 280, 1665, 30, 309, 3666, 81, 687, 44, 596, 280, 1665, 30, 11474, 44, 596, 280, 313, 641, 20, 829, 967, 5436, 44, 1524, 936, 3304, 12651, 10737, 328, 439, 762, 8512, 2330, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 309, 3666, 81, 687, 44, 1340, 432, 312, 2818, 12651, 2664, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 415, 2818, 2179, 291, 415, 6937, 26, 44605, 81, 687, 30, 596, 711, 324, 2818, 81, 44605, 280, 2430, 40637, 1643, 26, 44605, 81, 687, 27, 291, 813, 44, 324, 2818, 81, 44605, 280, 3330, 584, 588, 3233, 1326, 291, 3616, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 20603, 31, 17579, 40637, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 2818, 81, 44605, 291, 829, 584, 3616, 280, 630, 32, 371, 26, 324, 3616, 81, 965, 30, 4826, 47, 784, 32, 2111, 30, 44028, 47, 784, 32 ]
[ 46466, 30, 6144, 47, 784, 32, 6482, 291, 829, 584, 588, 11056, 1789, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 2403, 27, 584, 588, 943, 432, 1411, 291, 442, 3616, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 17213, 26, 630, 30, 2404, 44, 5436, 280, 1665, 30, 2179, 81, 687, 44, 596, 280, 1665, 30, 11474, 44, 596, 280, 313, 641, 20, 829, 967, 5436, 44, 1524, 936, 15477, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 2179, 81, 687, 44, 1340, 432, 312, 2818, 2179, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 415, 2818, 2179, 291, 415, 6937, 26, 1643, 81, 687, 30, 596, 711, 324, 2818, 81, 1643, 280, 2430, 40637, 1643, 26, 1643, 81, 687, 27, 291, 813, 44, 324, 2818, 81, 1643, 280, 3330, 584, 588, 3233, 1326, 291, 3616, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 17213, 40637, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 2818, 81, 1643, 291, 829, 584, 3616, 280, 630, 32, 371, 26, 324, 3616, 81, 965, 30, 4826, 47, 784, 32, 2111, 30, 44028, 47, 784, 32, 46466, 30, 6144, 47, 784, 32, 6482, 291, 829, 584, 588, 11056, 1789, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 2403, 27, 584, 588, 943, 432, 1411, 291, 442, 3616, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3233, 81, 15183, 26, 630, 30, 3541, 47, 2521, 30, 2179, 47, 2521, 30, 2467, 47, 2521, 30, 40776, 47, 2521, 30, 7423, 47, 2521, 30, 12083, 47, 2521, 30, 15085, 47, 2521, 30, 316, 7668, 47, 2521, 30, 1938, 81, 891, 47, 36, 34, 30, 816, 81, 4151, 47, 2521, 30, 8063, 203, 1524, 3192, 15500, 4797, 1044, 750, 16890, 7103, 584, 588, 9933, 1326, 3377, 291, 5797, 280, 3447, 7150, 563, 15085, 30, 313, 891, 563, 1938, 81, 891, 30, 313, 74, 31, 4140, 563, 816, 81, 4151, 111, 584, 588, 3233, 1326, 291, 588, 5759, 280, 3447, 74, 31, 2554, 31, 3307, 563, 630, 32, 1237, 81, 678, 111, 291, 3233, 81, 965, 280, 19436, 33, 15183, 2296, 1643, 26, 324, 630, 32, 1439, 81, 965, 30, 324, 588, 1086, 81, 314, 30, 324, 588, 1938, 81, 891, 291, 829, 584, 3233, 81, 2403, 280, 5167, 32, 371, 26, 324, 3233, 81, 965, 30, 324, 588, 4826, 47, 1816, 30, 324, 2803, 47, 6263, 30, 291, 829, 584, 588, 4551, 6183, 1056, 1991, 5436, 461, 21544, 6086, 328, 4886, 291, 4082, 32, 2811, 26, 1903, 81, 2403, 32, 965, 27, 291, 442, 3233, 81, 2403, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 9211, 81, 2810, 26, 784, 711, 203, 1524, 936, 3449, 10582, 2078, 619, 5436, 101, 7103, 584, 588, 9591, 39601, 769, 291, 588, 6658, 3838, 291, 630, 1114, 28635, 81, 13727, 40362, 280, 5167, 32, 371, 26, 784, 32, 1439, 81, 965, 474, 313, 15183, 33, 20684, 33, 1895, 1260, 346, 291, 588, 16091, 3015, 291, 630, 1114, 28635, 81, 4092, 69, 280, 301, 324, 456, 32, 371, 440, 314, 10280, 456, 32, 371, 440, 1311, 657, 324, 436, 456, 328, 5167, 32, 371, 26, 784, 32, 1439, 81, 965, 474, 313, 15183, 33, 4188, 1895, 1260, 346, 291, 320, 291, 588, 41292, 291, 630, 1114, 28635, 81, 25990, 71, 42391, 940, 280, 301, 324, 296, 32, 371, 440, 314, 10280, 296, 32, 371, 440, 1172, 657, 324, 436, 296, 328, 5167, 32, 371, 26, 784, 32, 1439, 81, 965, 474, 313, 15183, 33, 40159, 3865, 1895, 1260, 346, 291, 320, 291, 588, 1878, 32881, 7467, 19419, 769, 291, 588, 6658, 3838, 291, 630, 1114, 22581, 81, 13727, 40362, 280, 5167, 32, 371, 26, 784, 32, 1439, 81, 965, 474, 313, 26707, 33, 20684, 33, 1895, 1260, 346, 291, 588, 588, 16091, 3015, 291, 588, 630, 1114, 28635, 81, 4092, 69, 280, 301, 94, 32, 371, 440, 314, 10280, 456, 32, 371, 440, 1311, 657, 291, 588, 6019, 436, 456, 328, 5167, 32, 371, 26, 784, 32, 1439, 81, 965, 474, 313, 15183, 33, 4188, 1895, 1260, 9741, 291, 588, 588, 41292, 291, 588, 630, 1114, 28635, 81, 25990, 71, 42391, 940, 280, 301, 88, 32, 371, 440, 314, 10280, 296, 32, 371, 440, 1172, 657, 291, 588, 7188, 436, 296, 328, 5167, 32, 371, 26, 784, 32, 1439, 81, 965, 474, 313, 15183, 33, 40159, 3865, 1895, 1260, 9741, 291, 588, 7856, 722, 5796, 769, 291, 588, 22889, 1900, 2105, 291, 630, 1114, 27700, 7161, 33026, 280, 301, 324, 485, 32, 371, 440, 314, 10280, 485, 32, 371, 440, 426, 657, 324, 436, 485, 328, 5167, 32, 371, 26, 784, 32, 1439, 81, 965, 474, 313, 20847, 33, 31110, 1900, 2105, 1895, 1260, 346, 291, 320, 291, 588, 13021, 291, 630, 1114, 10729, 69, 280, 301, 324, 485, 32, 371, 440, 314, 10280, 485, 32, 371, 440, 426, 657, 324, 436, 485, 328, 5167, 32, 371, 26, 784, 32, 1439, 81, 965, 474, 313, 20847, 33, 13756, 1895, 1260, 346, 291, 320, 291, 588, 488, 31158, 769, 291, 588, 9652, 5231, 291, 630, 1114, 34046, 41949, 280, 308, 324, 313, 464, 392, 324, 313, 7150, 392, 324, 313, 21340, 392, 324, 313, 1643, 392, 324, 313, 8512, 5634, 392, 324, 313, 31110, 15849, 392, 324, 313, 2077, 392, 324, 313, 5632, 392, 324, 313, 12708, 392, 324, 313, 268, 7668, 392, 324, 313, 2142, 392, 324, 313, 34555, 81, 14550, 392, 291, 829, 291, 588, 316, 7668, 291, 630, 1114, 613, 4855, 69, 280, 2884, 4108, 392 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46466, 30, 6144, 47, 784, 32, 6482, 291, 829, 584, 588, 11056, 1789, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 2403, 27, 584, 588, 943, 432, 1411, 291, 442, 3616, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 17213, 26, 630, 30, 2404, 44, 5436, 280, 1665, 30, 2179, 81, 687, 44, 596, 280, 1665, 30, 11474, 44, 596, 280, 313, 641, 20, 829, 967, 5436, 44, 1524, 936, 15477, 32, 499, 753, 596, 2404, 44, 2330, 3796, 2404, 499, 753, 596, 2179, 81, 687, 44, 1340, 432, 312, 2818, 2179, 499, 753, 596, 11474, 44, 1678, 428, 5807, 79, 556, 1913, 308, 539, 561, 1755, 436, 5684, 461, 15555, 5652, 547, 1524, 584, 588, 415, 2818, 2179, 291, 415, 6937, 26, 1643, 81, 687, 30, 596, 711, 324, 2818, 81, 1643, 280, 2430, 40637, 1643, 26, 1643, 81, 687, 27, 291, 813, 44, 324, 2818, 81, 1643, 280, 3330, 584, 588, 3233, 1326, 291, 3616, 81, 965, 280, 19436, 555, 104, 35, 32, 24330, 9328, 8512, 32, 508, 33, 17213, 40637, 1643, 26, 324, 11474, 30, 630, 32, 1237, 81, 965, 30, 2818, 81, 1643, 291, 829, 584, 3616, 280, 630, 32, 371, 26, 324, 3616, 81, 965, 30, 4826, 47, 784, 32, 2111, 30, 44028, 47, 784, 32, 46466, 30, 6144, 47, 784, 32, 6482, 291, 829, 584, 588, 11056, 1789, 291, 26664, 32, 1553, 81, 1237, 81, 1986, 26, 2403, 27, 584, 588, 943, 432, 1411, 291, 442, 3616, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3233, 81, 15183, 26, 630, 30, 3541, 47, 2521, 30, 2179, 47, 2521, 30, 2467, 47, 2521, 30, 40776, 47, 2521, 30, 7423, 47, 2521, 30, 12083, 47, 2521, 30, 15085, 47, 2521, 30, 316, 7668, 47, 2521, 30, 1938, 81, 891, 47, 36, 34, 30, 816, 81, 4151, 47, 2521, 30, 8063, 203, 1524, 3192, 15500, 4797, 1044, 750, 16890, 7103, 584, 588, 9933, 1326, 3377, 291, 5797, 280, 3447, 7150, 563, 15085, 30, 313, 891, 563, 1938, 81, 891, 30, 313, 74, 31, 4140, 563, 816, 81, 4151, 111, 584, 588, 3233, 1326, 291, 588, 5759, 280, 3447, 74, 31, 2554, 31, 3307, 563, 630, 32, 1237, 81, 678, 111, 291, 3233, 81, 965, 280, 19436, 33, 15183, 2296, 1643, 26, 324, 630, 32, 1439, 81, 965, 30, 324, 588, 1086, 81, 314, 30, 324, 588, 1938, 81, 891, 291, 829, 584, 3233, 81, 2403, 280, 5167, 32, 371, 26, 324, 3233, 81, 965, 30, 324, 588, 4826, 47, 1816, 30, 324, 2803, 47, 6263, 30, 291, 829, 584, 588, 4551, 6183, 1056, 1991, 5436, 461, 21544, 6086, 328, 4886, 291, 4082, 32, 2811, 26, 1903, 81, 2403, 32, 965, 27, 291, 442, 3233, 81, 2403, 32, 1260, 346, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 9211, 81, 2810, 26, 784, 711, 203, 1524, 936, 3449, 10582, 2078, 619, 5436, 101, 7103, 584, 588, 9591, 39601, 769, 291, 588, 6658, 3838, 291, 630, 1114, 28635, 81, 13727, 40362, 280, 5167, 32, 371, 26, 784, 32, 1439, 81, 965, 474, 313, 15183, 33, 20684, 33, 1895, 1260, 346, 291, 588, 16091, 3015, 291, 630, 1114, 28635, 81, 4092, 69, 280, 301, 324, 456, 32, 371, 440, 314, 10280, 456, 32, 371, 440, 1311, 657, 324, 436, 456, 328, 5167, 32, 371, 26, 784, 32, 1439, 81, 965, 474, 313, 15183, 33, 4188, 1895, 1260, 346, 291, 320, 291, 588, 41292, 291, 630, 1114, 28635, 81, 25990, 71, 42391, 940, 280, 301, 324, 296, 32, 371, 440, 314, 10280, 296, 32, 371, 440, 1172, 657, 324, 436, 296, 328, 5167, 32, 371, 26, 784, 32, 1439, 81, 965, 474, 313, 15183, 33, 40159, 3865, 1895, 1260, 346, 291, 320, 291, 588, 1878, 32881, 7467, 19419, 769, 291, 588, 6658, 3838, 291, 630, 1114, 22581, 81, 13727, 40362, 280, 5167, 32, 371, 26, 784, 32, 1439, 81, 965, 474, 313, 26707, 33, 20684, 33, 1895, 1260, 346, 291, 588, 588, 16091, 3015, 291, 588, 630, 1114, 28635, 81, 4092, 69, 280, 301, 94, 32, 371, 440, 314, 10280, 456, 32, 371, 440, 1311, 657, 291, 588, 6019, 436, 456, 328, 5167, 32, 371, 26, 784, 32, 1439, 81, 965, 474, 313, 15183, 33, 4188, 1895, 1260, 9741, 291, 588, 588, 41292, 291, 588, 630, 1114, 28635, 81, 25990, 71, 42391, 940, 280, 301, 88, 32, 371, 440, 314, 10280, 296, 32, 371, 440, 1172, 657, 291, 588, 7188, 436, 296, 328, 5167, 32, 371, 26, 784, 32, 1439, 81, 965, 474, 313, 15183, 33, 40159, 3865, 1895, 1260, 9741, 291, 588, 7856, 722, 5796, 769, 291, 588, 22889, 1900, 2105, 291, 630, 1114, 27700, 7161, 33026, 280, 301, 324, 485, 32, 371, 440, 314, 10280, 485, 32, 371, 440, 426, 657, 324, 436, 485, 328, 5167, 32, 371, 26, 784, 32, 1439, 81, 965, 474, 313, 20847, 33, 31110, 1900, 2105, 1895, 1260, 346, 291, 320, 291, 588, 13021, 291, 630, 1114, 10729, 69, 280, 301, 324, 485, 32, 371, 440, 314, 10280, 485, 32, 371, 440, 426, 657, 324, 436, 485, 328, 5167, 32, 371, 26, 784, 32, 1439, 81, 965, 474, 313, 20847, 33, 13756, 1895, 1260, 346, 291, 320, 291, 588, 488, 31158, 769, 291, 588, 9652, 5231, 291, 630, 1114, 34046, 41949, 280, 308, 324, 313, 464, 392, 324, 313, 7150, 392, 324, 313, 21340, 392, 324, 313, 1643, 392, 324, 313, 8512, 5634, 392, 324, 313, 31110, 15849, 392, 324, 313, 2077, 392, 324, 313, 5632, 392, 324, 313, 12708, 392, 324, 313, 268, 7668, 392, 324, 313, 2142, 392, 324, 313, 34555, 81, 14550, 392, 291, 829, 291, 588, 316, 7668, 291, 630, 1114, 613, 4855, 69, 280, 2884, 4108, 392 ]
[ 313, 88, 393, 392, 313, 448, 659, 392, 313, 11374, 657, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5625, 26, 725, 81, 314, 30, 1503, 30, 19133, 30, 28805, 711, 203, 588, 827, 44, 308, 466, 30, 596, 30, 1560, 30, 1560, 27, 967, 1665, 1524, 13962, 322, 1123, 372, 1995, 3711, 32, 10460, 44, 1123, 81, 314, 308, 466, 711, 203, 1995, 3711, 1995, 2484, 32, 34720, 1359, 786, 1123, 81, 314, 415, 2702, 32, 1503, 308, 466, 711, 203, 1995, 3711, 2074, 1503, 32, 34720, 1359, 2078, 415, 2702, 32, 19133, 308, 2420, 711, 203, 1670, 739, 372, 1115, 1815, 326, 19133, 322, 1550, 6562, 1123, 1503, 372, 322, 1591, 688, 1182, 3998, 18331, 32, 28805, 308, 2420, 711, 203, 1670, 739, 372, 1115, 1815, 326, 458, 1098, 3097, 322, 4102, 287, 22290, 572, 4655, 372, 485, 3209, 2016, 32, 1524, 446, 485, 3633, 81, 725, 280, 570, 3633, 1290, 32, 979, 81, 6586, 26, 2912, 32, 1700, 81, 6586, 922, 426, 27, 446, 415, 485, 3633, 81, 725, 438, 1665, 461, 1665, 328, 308, 725, 81, 314, 30, 225, 1503, 711, 291, 3124, 280, 308, 324, 313, 4445, 1330, 2290, 600, 1995, 3711, 1123, 4705, 436, 5573, 333, 37, 39, 48, 2537, 46, 37, 36, 48, 461, 20, 324, 7915, 2250, 461, 769, 1648, 4528, 646, 2702, 3107, 291, 829, 291, 1245, 32, 530, 26, 2076, 30, 5554, 32, 1700, 81, 6586, 922, 426, 27, 291, 5237, 32, 4775, 26, 35, 27, 446, 415, 1503, 438, 646, 1665, 44, 291, 485, 3633, 81, 725, 32, 1648, 280, 1503, 446, 415, 1123, 81, 314, 438, 646, 1665, 44, 291, 485, 3633, 81, 725, 32, 725, 81, 314, 280, 1123, 81, 314, 446, 485, 3633, 81, 725, 32, 6285, 26, 13482, 1701, 30, 28805, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4705, 81, 1871, 2262, 203, 588, 827, 44, 1404, 967, 1665, 1524, 10819, 1995, 3711, 8781, 544, 25117, 4246, 1524, 446, 485, 3209, 81, 983, 280, 9073, 32, 1945, 463, 7900, 485, 3209, 370, 12847, 47, 1815, 547, 9362, 32, 7201, 346, 284, 19319, 81, 983, 280, 12356, 49149, 26, 2524, 26, 89, 3209, 81, 983, 30, 6297, 5134, 33, 2175, 81, 48906, 2847, 284, 485, 3209, 81, 3515, 280, 485, 3209, 81, 983, 474, 330, 769, 22290, 25, 446, 415, 646, 5375, 26, 4968, 81, 983, 711, 291, 1245, 32, 1338, 440, 29080, 1995, 3711, 8781, 657, 291, 9073, 32, 1945, 463, 9860, 2149, 6339, 2443, 1123, 31, 3483, 31, 2958, 2473, 1643, 26, 324, 485, 3209, 81, 3515, 291, 9658, 284, 813, 44, 291, 588, 9287, 46314, 5049, 32, 2614, 316, 4332, 1125, 30, 2258, 1968, 2876, 3320, 32, 291, 1245, 32, 1338, 440, 1290, 3711, 8781, 3425, 2815, 8593, 657, 446, 1245, 32, 1338, 440, 9515, 2719, 3497, 9156, 657, 284, 9073, 32, 1945, 44805, 3796, 18189, 31, 2122, 31, 3524, 769, 678, 31, 761, 19553, 1643, 26, 291, 485, 3209, 81, 3515, 30, 291, 3570, 32, 11030, 81, 983, 463, 4156, 33, 1580, 81, 7241, 32, 1260, 683, 284, 9658, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3634, 81, 19561, 26, 3359, 711, 203, 588, 827, 44, 308, 44334, 27, 967, 4540, 620, 1524, 7778, 667, 619, 23662, 32, 10460, 44, 2771, 308, 44334, 711, 203, 886, 2016, 667, 372, 12982, 332, 32, 1524, 446, 477, 4071, 101, 26, 3359, 27, 284, 665, 7767, 2740, 1132, 30, 1115, 4124, 711, 261, 588, 27715, 44, 7378, 47, 9785, 31, 1427, 800, 291, 645, 298, 13166, 774, 32, 1262, 1188, 9073, 584, 415, 9073, 32, 297, 81, 8364, 44, 324, 11685, 32, 8447, 440, 2272, 2016, 438, 1401, 23662, 2287, 32, 886, 313, 3775, 313, 3337, 438, 646, 6305, 15682, 461, 4796, 1539, 313, 3775, 313, 12655, 5394, 4797, 623, 312, 7841, 1503, 1974, 32, 313, 3775, 313, 4391, 821, 1370, 4369, 19902, 657, 291, 442, 2771, 2740, 1132, 30, 1115, 4124, 27, 446, 442, 7767, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3634, 81, 15040, 26, 268, 11314, 81, 1170, 711, 203, 588, 827, 44, 308, 1031, 27, 967, 4540, 620, 1524, 7778, 2016, 619, 12687, 32, 10460, 44, 14171, 81, 1170, 308, 466, 711, 203, 886, 2016, 688, 12687, 458, 2016, 461, 1395, 526, 1654, 4174, 32, 1524, 446, 665, 26627, 26, 3359, 711, 261, 588, 27715, 44, 7378, 47, 9785, 31, 1427, 800, 291, 477, 4071, 101, 26, 3359, 27, 291, 665, 7767, 2740, 1132, 30, 1115, 4124, 711, 261, 588, 27715, 44, 7378, 47, 9785, 31, 1427, 800, 324, 645, 298, 13166, 774, 32, 1262, 1188, 9073, 1064, 415, 9073, 32, 297, 81, 8364, 44, 400, 11685, 32, 8447, 440, 2272, 2016, 438, 1401, 2583, 12687, 32, 5294, 793, 313, 4985, 10698, 890, 111, 4174, 35145, 1643, 26, 890, 47, 268, 11314, 81, 1170, 490, 1064, 442, 2771, 2740, 1132, 30, 1115, 4124, 27, 584, 442, 7767, 446, 442, 26627, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 328, 81, 29707, 26, 27816, 30, 5254, 81, 891, 711, 203, 588, 827, 44, 308, 17325, 77, 4277, 1130, 967, 15386, 77, 720, 77, 4277, 3212, 1524, 18968, 322, 2702, 27182, 1991, 31524, 32, 10460, 44, 27182, 308, 17325, 77, 4277, 10794, 203, 886, 27182, 844, 2637, 372, 6122, 1991, 31524, 32, 5254, 81, 891, 308, 410, 711, 203, 886, 1334, 432, 2504, 323, 867, 32, 886, 2401, 5254, 1098, 526, 7801, 14763, 308, 325, 322, 1451, 432, 4702, 4881, 526, 15588, 1247, 32235, 32, 3759, 44, 15386, 77, 668, 77, 4277, 33504, 13508 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 313, 88, 393, 392, 313, 448, 659, 392, 313, 11374, 657, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 5625, 26, 725, 81, 314, 30, 1503, 30, 19133, 30, 28805, 711, 203, 588, 827, 44, 308, 466, 30, 596, 30, 1560, 30, 1560, 27, 967, 1665, 1524, 13962, 322, 1123, 372, 1995, 3711, 32, 10460, 44, 1123, 81, 314, 308, 466, 711, 203, 1995, 3711, 1995, 2484, 32, 34720, 1359, 786, 1123, 81, 314, 415, 2702, 32, 1503, 308, 466, 711, 203, 1995, 3711, 2074, 1503, 32, 34720, 1359, 2078, 415, 2702, 32, 19133, 308, 2420, 711, 203, 1670, 739, 372, 1115, 1815, 326, 19133, 322, 1550, 6562, 1123, 1503, 372, 322, 1591, 688, 1182, 3998, 18331, 32, 28805, 308, 2420, 711, 203, 1670, 739, 372, 1115, 1815, 326, 458, 1098, 3097, 322, 4102, 287, 22290, 572, 4655, 372, 485, 3209, 2016, 32, 1524, 446, 485, 3633, 81, 725, 280, 570, 3633, 1290, 32, 979, 81, 6586, 26, 2912, 32, 1700, 81, 6586, 922, 426, 27, 446, 415, 485, 3633, 81, 725, 438, 1665, 461, 1665, 328, 308, 725, 81, 314, 30, 225, 1503, 711, 291, 3124, 280, 308, 324, 313, 4445, 1330, 2290, 600, 1995, 3711, 1123, 4705, 436, 5573, 333, 37, 39, 48, 2537, 46, 37, 36, 48, 461, 20, 324, 7915, 2250, 461, 769, 1648, 4528, 646, 2702, 3107, 291, 829, 291, 1245, 32, 530, 26, 2076, 30, 5554, 32, 1700, 81, 6586, 922, 426, 27, 291, 5237, 32, 4775, 26, 35, 27, 446, 415, 1503, 438, 646, 1665, 44, 291, 485, 3633, 81, 725, 32, 1648, 280, 1503, 446, 415, 1123, 81, 314, 438, 646, 1665, 44, 291, 485, 3633, 81, 725, 32, 725, 81, 314, 280, 1123, 81, 314, 446, 485, 3633, 81, 725, 32, 6285, 26, 13482, 1701, 30, 28805, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4705, 81, 1871, 2262, 203, 588, 827, 44, 1404, 967, 1665, 1524, 10819, 1995, 3711, 8781, 544, 25117, 4246, 1524, 446, 485, 3209, 81, 983, 280, 9073, 32, 1945, 463, 7900, 485, 3209, 370, 12847, 47, 1815, 547, 9362, 32, 7201, 346, 284, 19319, 81, 983, 280, 12356, 49149, 26, 2524, 26, 89, 3209, 81, 983, 30, 6297, 5134, 33, 2175, 81, 48906, 2847, 284, 485, 3209, 81, 3515, 280, 485, 3209, 81, 983, 474, 330, 769, 22290, 25, 446, 415, 646, 5375, 26, 4968, 81, 983, 711, 291, 1245, 32, 1338, 440, 29080, 1995, 3711, 8781, 657, 291, 9073, 32, 1945, 463, 9860, 2149, 6339, 2443, 1123, 31, 3483, 31, 2958, 2473, 1643, 26, 324, 485, 3209, 81, 3515, 291, 9658, 284, 813, 44, 291, 588, 9287, 46314, 5049, 32, 2614, 316, 4332, 1125, 30, 2258, 1968, 2876, 3320, 32, 291, 1245, 32, 1338, 440, 1290, 3711, 8781, 3425, 2815, 8593, 657, 446, 1245, 32, 1338, 440, 9515, 2719, 3497, 9156, 657, 284, 9073, 32, 1945, 44805, 3796, 18189, 31, 2122, 31, 3524, 769, 678, 31, 761, 19553, 1643, 26, 291, 485, 3209, 81, 3515, 30, 291, 3570, 32, 11030, 81, 983, 463, 4156, 33, 1580, 81, 7241, 32, 1260, 683, 284, 9658, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3634, 81, 19561, 26, 3359, 711, 203, 588, 827, 44, 308, 44334, 27, 967, 4540, 620, 1524, 7778, 667, 619, 23662, 32, 10460, 44, 2771, 308, 44334, 711, 203, 886, 2016, 667, 372, 12982, 332, 32, 1524, 446, 477, 4071, 101, 26, 3359, 27, 284, 665, 7767, 2740, 1132, 30, 1115, 4124, 711, 261, 588, 27715, 44, 7378, 47, 9785, 31, 1427, 800, 291, 645, 298, 13166, 774, 32, 1262, 1188, 9073, 584, 415, 9073, 32, 297, 81, 8364, 44, 324, 11685, 32, 8447, 440, 2272, 2016, 438, 1401, 23662, 2287, 32, 886, 313, 3775, 313, 3337, 438, 646, 6305, 15682, 461, 4796, 1539, 313, 3775, 313, 12655, 5394, 4797, 623, 312, 7841, 1503, 1974, 32, 313, 3775, 313, 4391, 821, 1370, 4369, 19902, 657, 291, 442, 2771, 2740, 1132, 30, 1115, 4124, 27, 446, 442, 7767, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3634, 81, 15040, 26, 268, 11314, 81, 1170, 711, 203, 588, 827, 44, 308, 1031, 27, 967, 4540, 620, 1524, 7778, 2016, 619, 12687, 32, 10460, 44, 14171, 81, 1170, 308, 466, 711, 203, 886, 2016, 688, 12687, 458, 2016, 461, 1395, 526, 1654, 4174, 32, 1524, 446, 665, 26627, 26, 3359, 711, 261, 588, 27715, 44, 7378, 47, 9785, 31, 1427, 800, 291, 477, 4071, 101, 26, 3359, 27, 291, 665, 7767, 2740, 1132, 30, 1115, 4124, 711, 261, 588, 27715, 44, 7378, 47, 9785, 31, 1427, 800, 324, 645, 298, 13166, 774, 32, 1262, 1188, 9073, 1064, 415, 9073, 32, 297, 81, 8364, 44, 400, 11685, 32, 8447, 440, 2272, 2016, 438, 1401, 2583, 12687, 32, 5294, 793, 313, 4985, 10698, 890, 111, 4174, 35145, 1643, 26, 890, 47, 268, 11314, 81, 1170, 490, 1064, 442, 2771, 2740, 1132, 30, 1115, 4124, 27, 584, 442, 7767, 446, 442, 26627, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 328, 81, 29707, 26, 27816, 30, 5254, 81, 891, 711, 203, 588, 827, 44, 308, 17325, 77, 4277, 1130, 967, 15386, 77, 720, 77, 4277, 3212, 1524, 18968, 322, 2702, 27182, 1991, 31524, 32, 10460, 44, 27182, 308, 17325, 77, 4277, 10794, 203, 886, 27182, 844, 2637, 372, 6122, 1991, 31524, 32, 5254, 81, 891, 308, 410, 711, 203, 886, 1334, 432, 2504, 323, 867, 32, 886, 2401, 5254, 1098, 526, 7801, 14763, 308, 325, 322, 1451, 432, 4702, 4881, 526, 15588, 1247, 32235, 32, 3759, 44, 15386, 77, 668, 77, 4277, 33504, 13508 ]
[ 6761, 1169, 3946, 328, 31524, 432, 1115, 4432, 81, 891, 326, 1334, 32, 5938, 44, 225, 37, 3813, 35, 30, 225, 36, 30, 225, 37, 614, 428, 38, 30, 225, 39, 30, 225, 40, 614, 428, 41, 3212, 1524, 446, 3946, 280, 1149, 26, 27816, 27, 284, 1334, 280, 2069, 26, 3028, 27, 446, 436, 595, 328, 2155, 26, 34, 30, 1334, 30, 5254, 81, 891, 711, 291, 6761, 3946, 77, 91, 44, 887, 26, 91, 474, 5254, 81, 891, 30, 1334, 2177, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4233, 26, 6933, 30, 2771, 711, 203, 588, 827, 44, 308, 44334, 27, 967, 1665, 1524, 11035, 1056, 3320, 544, 322, 2702, 667, 32, 1670, 322, 667, 1401, 1289, 10814, 1056, 30, 458, 1476, 1098, 745, 7553, 32, 10460, 44, 2771, 308, 44334, 711, 203, 886, 667, 13696, 3320, 1395, 526, 27759, 32, 1524, 584, 415, 19326, 26, 3359, 30, 9011, 32, 14905, 81, 7416, 711, 324, 3555, 2437, 26, 3359, 30, 9011, 32, 14905, 81, 7416, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 11361, 2262, 203, 588, 827, 44, 1404, 967, 1665, 1524, 13908, 1550, 2787, 5573, 1991, 10227, 32, 1524, 446, 32914, 416, 280, 1619, 32, 371, 463, 6626, 416, 370, 3177, 27, 446, 415, 646, 32914, 416, 461, 308, 2912, 32, 270, 4838, 346, 556, 5554, 32, 311, 270, 4838, 22805, 291, 1245, 32, 530, 26, 324, 313, 4282, 1159, 707, 42182, 3404, 328, 1370, 5867, 14351, 96, 20, 324, 313, 4282, 1849, 372, 376, 917, 3026, 2670, 844, 3991, 322, 14309, 3299, 5573, 20, 291, 829, 291, 5237, 32, 4775, 26, 35, 27, 446, 5573, 280, 5554, 32, 1700, 81, 6586, 26, 8188, 47, 1815, 27, 284, 1695, 280, 4942, 32, 371, 81, 1439, 81, 6586, 346, 446, 13012, 280, 3778, 37, 36, 48, 8625, 333, 37, 37, 48, 2537, 46, 37, 36, 48, 1991, 333, 37, 37, 48, 2537, 46, 34, 13809, 2296, 1643, 26, 6586, 32, 426, 30, 1695, 27, 284, 415, 646, 5021, 32, 8853, 26, 7883, 32, 3972, 26, 13232, 8531, 291, 1245, 32, 1338, 440, 23114, 657, 291, 442, 446, 4942, 32, 862, 81, 6586, 81, 681, 463, 2795, 683, 446, 588, 13908, 2899, 1991, 561, 1182, 1695, 2787, 5573, 284, 4942, 32, 2912, 81, 15199, 26, 1439, 27, 284, 4942, 32, 2912, 81, 3978, 26, 1439, 27, 284, 4942, 32, 2912, 81, 6077, 26, 1439, 30, 5573, 32, 426, 27, 446, 588, 31458, 284, 4942, 32, 2912, 81, 6586, 81, 2560, 26, 6586, 32, 426, 27, 284, 4942, 32, 2912, 81, 38217, 346, 446, 4942, 32, 2912, 81, 15199, 26, 1439, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4031, 11661, 81, 1851, 26, 1141, 30, 1519, 30, 3420, 30, 319, 1132, 30, 1115, 5321, 711, 203, 1524, 1853, 312, 23368, 11661, 667, 623, 9136, 1048, 9933, 32, 529, 1141, 82, 438, 312, 802, 22376, 2769, 322, 667, 438, 7667, 372, 745, 30, 461, 529, 983, 82, 438, 322, 10088, 4870, 32, 886, 6109, 432, 322, 4209, 5510, 322, 20695, 372, 11319, 32, 2688, 1205, 821, 6225, 23368, 11661, 225, 35, 32, 37, 37, 30, 2154, 529, 2338, 924, 82, 438, 319, 18462, 28, 1654, 30, 25209, 436, 3568, 11708, 3878, 319, 19573, 28, 436, 48385, 4393, 1048, 5479, 3751, 619, 312, 6658, 4870, 32, 23368, 11661, 31, 10265, 11708, 3878, 461, 4393, 3878, 884, 540, 3002, 8593, 619, 529, 1061, 18210, 974, 924, 2541, 7859, 14735, 19565, 6517, 23368, 11661, 1559, 91, 32, 87, 4317, 16800, 1559, 586, 540, 3002, 8593, 619, 529, 5399, 11661, 924, 2541, 1524, 446, 1596, 44, 291, 442, 3420, 2740, 1132, 30, 1115, 5321, 27, 284, 2940, 4031, 11661, 32, 5399, 11661, 924, 619, 13489, 44, 291, 1245, 32, 2811, 26, 103, 21735, 101, 3803, 44, 904, 101, 370, 2125, 30, 18792, 32, 878, 81, 681, 26, 14806, 490, 291, 3636, 1683, 18210, 974, 924, 26, 983, 30, 18792, 32, 878, 81, 681, 26, 14806, 490, 284, 2940, 3268, 619, 13489, 44, 291, 588, 439, 2594, 332, 16800, 328, 23368, 11661, 32, 291, 1245, 32, 2811, 26, 103, 21735, 101, 370, 27374, 32, 1643, 81, 14806, 1157, 291, 1245, 32, 731, 26, 103, 25, 956, 83, 10311, 23368, 11661, 3756, 328, 904, 101, 44, 904, 101, 370, 2125, 30, 13489, 27, 291, 3636, 23368, 11661, 924, 26, 983, 30, 13489, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 4770, 81, 2405, 26, 541, 81, 681, 30, 909, 711, 203, 1524, 8296, 372, 6369, 102, 909, 372, 963, 81, 681, 1273, 7152, 3636, 600, 3756, 32, 1670, 322, 786, 883, 1330, 526, 12785, 30, 1615, 312, 46788, 1244, 786, 438, 4717, 32, 963, 81, 681, 1395, 526, 1560, 30, 629, 30, 556, 15390, 45, 5878, 30, 322, 786, 438, 2258, 5403, 3919, 32, 1524, 446, 415, 909, 438, 1665, 44, 291, 442, 1665, 446, 415, 963, 81, 681, 610, 629, 44, 291, 415, 6937, 26, 695, 30, 629, 27, 556, 6937, 26, 695, 30, 1897, 711, 324, 588, 9077, 312, 1451, 32, 324, 442, 629, 26, 695, 27, 291, 813, 44, 324, 588, 6833, 1346, 1604, 827, 619, 312, 802, 32, 324, 415, 6937, 26, 695, 30, 3519, 711, 400, 909, 280, 909, 32, 5460, 463, 3310, 31, 42, 370, 330, 3617, 683, 324, 4348, 646, 6937, 26, 695, 30, 18792, 32, 800, 81, 2516, 711, 400, 909, 280, 18792, 32, 878, 81, 681, 26, 695, 27, 324, 588, 1390, 312, 1451, 645, 322, 8432, 432, 322, 802, 32, 324, 2530, 280, 316, 32, 2872, 26, 100, 44860, 3370, 31, 34414, 77, 34, 31, 43, 6155, 370, 909, 32, 7201, 1157 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6761, 1169, 3946, 328, 31524, 432, 1115, 4432, 81, 891, 326, 1334, 32, 5938, 44, 225, 37, 3813, 35, 30, 225, 36, 30, 225, 37, 614, 428, 38, 30, 225, 39, 30, 225, 40, 614, 428, 41, 3212, 1524, 446, 3946, 280, 1149, 26, 27816, 27, 284, 1334, 280, 2069, 26, 3028, 27, 446, 436, 595, 328, 2155, 26, 34, 30, 1334, 30, 5254, 81, 891, 711, 291, 6761, 3946, 77, 91, 44, 887, 26, 91, 474, 5254, 81, 891, 30, 1334, 2177, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4233, 26, 6933, 30, 2771, 711, 203, 588, 827, 44, 308, 44334, 27, 967, 1665, 1524, 11035, 1056, 3320, 544, 322, 2702, 667, 32, 1670, 322, 667, 1401, 1289, 10814, 1056, 30, 458, 1476, 1098, 745, 7553, 32, 10460, 44, 2771, 308, 44334, 711, 203, 886, 667, 13696, 3320, 1395, 526, 27759, 32, 1524, 584, 415, 19326, 26, 3359, 30, 9011, 32, 14905, 81, 7416, 711, 324, 3555, 2437, 26, 3359, 30, 9011, 32, 14905, 81, 7416, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 11361, 2262, 203, 588, 827, 44, 1404, 967, 1665, 1524, 13908, 1550, 2787, 5573, 1991, 10227, 32, 1524, 446, 32914, 416, 280, 1619, 32, 371, 463, 6626, 416, 370, 3177, 27, 446, 415, 646, 32914, 416, 461, 308, 2912, 32, 270, 4838, 346, 556, 5554, 32, 311, 270, 4838, 22805, 291, 1245, 32, 530, 26, 324, 313, 4282, 1159, 707, 42182, 3404, 328, 1370, 5867, 14351, 96, 20, 324, 313, 4282, 1849, 372, 376, 917, 3026, 2670, 844, 3991, 322, 14309, 3299, 5573, 20, 291, 829, 291, 5237, 32, 4775, 26, 35, 27, 446, 5573, 280, 5554, 32, 1700, 81, 6586, 26, 8188, 47, 1815, 27, 284, 1695, 280, 4942, 32, 371, 81, 1439, 81, 6586, 346, 446, 13012, 280, 3778, 37, 36, 48, 8625, 333, 37, 37, 48, 2537, 46, 37, 36, 48, 1991, 333, 37, 37, 48, 2537, 46, 34, 13809, 2296, 1643, 26, 6586, 32, 426, 30, 1695, 27, 284, 415, 646, 5021, 32, 8853, 26, 7883, 32, 3972, 26, 13232, 8531, 291, 1245, 32, 1338, 440, 23114, 657, 291, 442, 446, 4942, 32, 862, 81, 6586, 81, 681, 463, 2795, 683, 446, 588, 13908, 2899, 1991, 561, 1182, 1695, 2787, 5573, 284, 4942, 32, 2912, 81, 15199, 26, 1439, 27, 284, 4942, 32, 2912, 81, 3978, 26, 1439, 27, 284, 4942, 32, 2912, 81, 6077, 26, 1439, 30, 5573, 32, 426, 27, 446, 588, 31458, 284, 4942, 32, 2912, 81, 6586, 81, 2560, 26, 6586, 32, 426, 27, 284, 4942, 32, 2912, 81, 38217, 346, 446, 4942, 32, 2912, 81, 15199, 26, 1439, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4031, 11661, 81, 1851, 26, 1141, 30, 1519, 30, 3420, 30, 319, 1132, 30, 1115, 5321, 711, 203, 1524, 1853, 312, 23368, 11661, 667, 623, 9136, 1048, 9933, 32, 529, 1141, 82, 438, 312, 802, 22376, 2769, 322, 667, 438, 7667, 372, 745, 30, 461, 529, 983, 82, 438, 322, 10088, 4870, 32, 886, 6109, 432, 322, 4209, 5510, 322, 20695, 372, 11319, 32, 2688, 1205, 821, 6225, 23368, 11661, 225, 35, 32, 37, 37, 30, 2154, 529, 2338, 924, 82, 438, 319, 18462, 28, 1654, 30, 25209, 436, 3568, 11708, 3878, 319, 19573, 28, 436, 48385, 4393, 1048, 5479, 3751, 619, 312, 6658, 4870, 32, 23368, 11661, 31, 10265, 11708, 3878, 461, 4393, 3878, 884, 540, 3002, 8593, 619, 529, 1061, 18210, 974, 924, 2541, 7859, 14735, 19565, 6517, 23368, 11661, 1559, 91, 32, 87, 4317, 16800, 1559, 586, 540, 3002, 8593, 619, 529, 5399, 11661, 924, 2541, 1524, 446, 1596, 44, 291, 442, 3420, 2740, 1132, 30, 1115, 5321, 27, 284, 2940, 4031, 11661, 32, 5399, 11661, 924, 619, 13489, 44, 291, 1245, 32, 2811, 26, 103, 21735, 101, 3803, 44, 904, 101, 370, 2125, 30, 18792, 32, 878, 81, 681, 26, 14806, 490, 291, 3636, 1683, 18210, 974, 924, 26, 983, 30, 18792, 32, 878, 81, 681, 26, 14806, 490, 284, 2940, 3268, 619, 13489, 44, 291, 588, 439, 2594, 332, 16800, 328, 23368, 11661, 32, 291, 1245, 32, 2811, 26, 103, 21735, 101, 370, 27374, 32, 1643, 81, 14806, 1157, 291, 1245, 32, 731, 26, 103, 25, 956, 83, 10311, 23368, 11661, 3756, 328, 904, 101, 44, 904, 101, 370, 2125, 30, 13489, 27, 291, 3636, 23368, 11661, 924, 26, 983, 30, 13489, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 4770, 81, 2405, 26, 541, 81, 681, 30, 909, 711, 203, 1524, 8296, 372, 6369, 102, 909, 372, 963, 81, 681, 1273, 7152, 3636, 600, 3756, 32, 1670, 322, 786, 883, 1330, 526, 12785, 30, 1615, 312, 46788, 1244, 786, 438, 4717, 32, 963, 81, 681, 1395, 526, 1560, 30, 629, 30, 556, 15390, 45, 5878, 30, 322, 786, 438, 2258, 5403, 3919, 32, 1524, 446, 415, 909, 438, 1665, 44, 291, 442, 1665, 446, 415, 963, 81, 681, 610, 629, 44, 291, 415, 6937, 26, 695, 30, 629, 27, 556, 6937, 26, 695, 30, 1897, 711, 324, 588, 9077, 312, 1451, 32, 324, 442, 629, 26, 695, 27, 291, 813, 44, 324, 588, 6833, 1346, 1604, 827, 619, 312, 802, 32, 324, 415, 6937, 26, 695, 30, 3519, 711, 400, 909, 280, 909, 32, 5460, 463, 3310, 31, 42, 370, 330, 3617, 683, 324, 4348, 646, 6937, 26, 695, 30, 18792, 32, 800, 81, 2516, 711, 400, 909, 280, 18792, 32, 878, 81, 681, 26, 695, 27, 324, 588, 1390, 312, 1451, 645, 322, 8432, 432, 322, 802, 32, 324, 2530, 280, 316, 32, 2872, 26, 100, 44860, 3370, 31, 34414, 77, 34, 31, 43, 6155, 370, 909, 32, 7201, 1157 ]
[ 324, 442, 629, 26, 2872, 32, 1363, 26, 34, 490, 415, 2530, 813, 225, 34, 446, 4348, 963, 81, 681, 610, 1560, 44, 291, 1596, 44, 324, 588, 9043, 1389, 436, 5852, 30, 1560, 101, 30, 34713, 44, 324, 442, 1560, 26, 410, 26, 695, 490, 291, 2940, 10091, 44, 324, 442, 3177, 446, 4348, 963, 81, 681, 610, 18792, 32, 878, 81, 681, 44, 291, 415, 6937, 26, 695, 30, 3519, 711, 324, 442, 909, 32, 5460, 463, 3310, 31, 42, 370, 330, 3617, 683, 291, 4348, 6937, 26, 695, 30, 18792, 32, 878, 81, 681, 711, 324, 442, 909, 291, 813, 44, 324, 442, 18792, 32, 878, 81, 681, 26, 695, 27, 446, 4348, 963, 81, 681, 610, 1897, 44, 291, 415, 6937, 26, 695, 30, 629, 27, 556, 6937, 26, 695, 30, 1897, 711, 324, 442, 1897, 26, 695, 27, 291, 813, 44, 324, 415, 6937, 26, 695, 30, 3519, 711, 400, 909, 280, 909, 32, 5460, 463, 3310, 31, 42, 370, 330, 3617, 683, 324, 813, 44, 400, 909, 280, 18792, 32, 878, 81, 681, 26, 695, 27, 324, 2530, 280, 316, 32, 2872, 26, 100, 44860, 3370, 31, 34414, 2009, 34, 31, 43, 6155, 8169, 48113, 34, 31, 43, 6603, 10182, 34, 31, 43, 6603, 8169, 77, 34, 31, 43, 6155, 7243, 6035, 909, 32, 7201, 1157, 324, 415, 2530, 44, 400, 909, 280, 2530, 32, 1363, 26, 34, 27, 400, 415, 909, 44, 528, 442, 1897, 26, 695, 27, 324, 442, 225, 34, 32, 34, 446, 813, 44, 291, 442, 909, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 16975, 26, 784, 30, 4031, 11661, 81, 853, 711, 203, 1524, 16627, 312, 5081, 786, 7107, 544, 312, 23368, 11661, 1300, 30, 9843, 461, 442, 322, 17718, 786, 32, 1524, 584, 415, 630, 32, 12420, 461, 6937, 26, 2278, 11661, 81, 853, 30, 18792, 32, 878, 81, 681, 27, 766, 2607, 461, 4031, 11661, 81, 853, 32, 20643, 26, 784, 32, 12420, 711, 324, 442, 4031, 11661, 81, 853, 20129, 1657, 26, 784, 32, 12420, 2177, 291, 813, 44, 324, 442, 4031, 11661, 81, 853, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 739, 26, 784, 30, 4031, 11661, 81, 761, 30, 786, 711, 203, 1524, 9079, 322, 786, 436, 322, 1600, 1471, 458, 1418, 32, 1524, 584, 630, 32, 2157, 26, 2278, 11661, 81, 761, 30, 630, 32, 6282, 26, 853, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 12741, 26, 784, 30, 786, 711, 203, 1524, 6720, 322, 6594, 4865, 786, 372, 312, 827, 688, 438, 19655, 436, 21544, 328, 312, 23368, 11661, 803, 1300, 32, 1524, 584, 415, 6937, 26, 853, 30, 1897, 27, 461, 630, 32, 302, 81, 681, 438, 18792, 32, 878, 81, 681, 44, 324, 786, 280, 1044, 15907, 34, 44, 12604, 35, 111, 88, 16805, 1643, 26, 853, 30, 630, 32, 1808, 81, 15778, 27, 324, 786, 280, 630, 32, 302, 81, 681, 26, 853, 27, 291, 4348, 630, 32, 302, 81, 681, 438, 18792, 32, 878, 81, 681, 44, 324, 415, 6937, 26, 853, 30, 1560, 711, 400, 588, 8809, 1560, 101, 619, 225, 35, 33, 34, 4174, 432, 2933, 33, 2700, 32, 400, 786, 280, 18792, 32, 878, 81, 681, 26, 410, 26, 2420, 26, 853, 2610, 324, 4348, 6937, 26, 853, 30, 3519, 711, 400, 786, 280, 786, 32, 5460, 463, 3310, 31, 42, 370, 330, 3617, 683, 324, 813, 44, 400, 786, 280, 18792, 32, 878, 81, 681, 26, 853, 27, 291, 813, 44, 324, 786, 280, 630, 32, 302, 81, 681, 26, 853, 27, 584, 415, 630, 32, 12420, 44, 324, 786, 1454, 630, 32, 12420, 584, 442, 786, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 668, 26, 784, 30, 4031, 11661, 81, 761, 711, 203, 1524, 936, 312, 1149, 432, 1169, 2078, 436, 322, 1600, 1471, 458, 1418, 32, 1524, 584, 442, 428, 784, 32, 17012, 26, 1094, 27, 436, 1623, 328, 630, 32, 5140, 26, 2278, 11661, 81, 761, 2177, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 739, 81, 668, 26, 784, 30, 4031, 11661, 81, 761, 30, 2078, 711, 203, 1524, 885, 1169, 2078, 436, 322, 1600, 1471, 458, 1418, 32, 529, 2810, 82, 1395, 526, 600, 27182, 32, 1524, 584, 630, 32, 2157, 26, 2278, 11661, 81, 761, 30, 428, 784, 32, 6282, 26, 853, 27, 436, 786, 328, 2078, 1130, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 16975, 26, 784, 30, 1845, 295, 81, 1744, 711, 203, 1524, 6720, 14789, 1102, 3118, 1991, 4361, 7103, 584, 442, 4361, 26, 605, 47, 33721, 81, 1744, 32, 605, 30, 5585, 47, 33721, 81, 1744, 32, 3801, 30, 3486, 827, 47, 33721, 81, 1744, 32, 681, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 12741, 26, 784, 30, 1778, 711, 203, 1524, 2891, 600, 14789, 1102, 3118, 24545, 623, 706, 645, 4102, 893, 16688, 1524, 584, 1201, 6937, 26, 893, 30, 4361, 27, 291, 3118, 280, 4031, 11661, 32, 314, 37, 32, 13421, 77, 784, 32, 678, 15435, 291, 3118, 32, 605, 280, 1778, 32, 605, 291, 3118, 32, 14639, 280, 1778, 32, 14639, 81, 681, 291, 3118, 32, 3801, 280, 1778, 32, 3801, 556, 1044, 2699, 584, 588, 2616, 14675, 623, 6642, 1593, 33, 47248, 24398, 14227, 41954, 31, 35, 415, 4195, 32, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 324, 442, 629, 26, 2872, 32, 1363, 26, 34, 490, 415, 2530, 813, 225, 34, 446, 4348, 963, 81, 681, 610, 1560, 44, 291, 1596, 44, 324, 588, 9043, 1389, 436, 5852, 30, 1560, 101, 30, 34713, 44, 324, 442, 1560, 26, 410, 26, 695, 490, 291, 2940, 10091, 44, 324, 442, 3177, 446, 4348, 963, 81, 681, 610, 18792, 32, 878, 81, 681, 44, 291, 415, 6937, 26, 695, 30, 3519, 711, 324, 442, 909, 32, 5460, 463, 3310, 31, 42, 370, 330, 3617, 683, 291, 4348, 6937, 26, 695, 30, 18792, 32, 878, 81, 681, 711, 324, 442, 909, 291, 813, 44, 324, 442, 18792, 32, 878, 81, 681, 26, 695, 27, 446, 4348, 963, 81, 681, 610, 1897, 44, 291, 415, 6937, 26, 695, 30, 629, 27, 556, 6937, 26, 695, 30, 1897, 711, 324, 442, 1897, 26, 695, 27, 291, 813, 44, 324, 415, 6937, 26, 695, 30, 3519, 711, 400, 909, 280, 909, 32, 5460, 463, 3310, 31, 42, 370, 330, 3617, 683, 324, 813, 44, 400, 909, 280, 18792, 32, 878, 81, 681, 26, 695, 27, 324, 2530, 280, 316, 32, 2872, 26, 100, 44860, 3370, 31, 34414, 2009, 34, 31, 43, 6155, 8169, 48113, 34, 31, 43, 6603, 10182, 34, 31, 43, 6603, 8169, 77, 34, 31, 43, 6155, 7243, 6035, 909, 32, 7201, 1157, 324, 415, 2530, 44, 400, 909, 280, 2530, 32, 1363, 26, 34, 27, 400, 415, 909, 44, 528, 442, 1897, 26, 695, 27, 324, 442, 225, 34, 32, 34, 446, 813, 44, 291, 442, 909, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 16975, 26, 784, 30, 4031, 11661, 81, 853, 711, 203, 1524, 16627, 312, 5081, 786, 7107, 544, 312, 23368, 11661, 1300, 30, 9843, 461, 442, 322, 17718, 786, 32, 1524, 584, 415, 630, 32, 12420, 461, 6937, 26, 2278, 11661, 81, 853, 30, 18792, 32, 878, 81, 681, 27, 766, 2607, 461, 4031, 11661, 81, 853, 32, 20643, 26, 784, 32, 12420, 711, 324, 442, 4031, 11661, 81, 853, 20129, 1657, 26, 784, 32, 12420, 2177, 291, 813, 44, 324, 442, 4031, 11661, 81, 853, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 739, 26, 784, 30, 4031, 11661, 81, 761, 30, 786, 711, 203, 1524, 9079, 322, 786, 436, 322, 1600, 1471, 458, 1418, 32, 1524, 584, 630, 32, 2157, 26, 2278, 11661, 81, 761, 30, 630, 32, 6282, 26, 853, 490, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 12741, 26, 784, 30, 786, 711, 203, 1524, 6720, 322, 6594, 4865, 786, 372, 312, 827, 688, 438, 19655, 436, 21544, 328, 312, 23368, 11661, 803, 1300, 32, 1524, 584, 415, 6937, 26, 853, 30, 1897, 27, 461, 630, 32, 302, 81, 681, 438, 18792, 32, 878, 81, 681, 44, 324, 786, 280, 1044, 15907, 34, 44, 12604, 35, 111, 88, 16805, 1643, 26, 853, 30, 630, 32, 1808, 81, 15778, 27, 324, 786, 280, 630, 32, 302, 81, 681, 26, 853, 27, 291, 4348, 630, 32, 302, 81, 681, 438, 18792, 32, 878, 81, 681, 44, 324, 415, 6937, 26, 853, 30, 1560, 711, 400, 588, 8809, 1560, 101, 619, 225, 35, 33, 34, 4174, 432, 2933, 33, 2700, 32, 400, 786, 280, 18792, 32, 878, 81, 681, 26, 410, 26, 2420, 26, 853, 2610, 324, 4348, 6937, 26, 853, 30, 3519, 711, 400, 786, 280, 786, 32, 5460, 463, 3310, 31, 42, 370, 330, 3617, 683, 324, 813, 44, 400, 786, 280, 18792, 32, 878, 81, 681, 26, 853, 27, 291, 813, 44, 324, 786, 280, 630, 32, 302, 81, 681, 26, 853, 27, 584, 415, 630, 32, 12420, 44, 324, 786, 1454, 630, 32, 12420, 584, 442, 786, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 668, 26, 784, 30, 4031, 11661, 81, 761, 711, 203, 1524, 936, 312, 1149, 432, 1169, 2078, 436, 322, 1600, 1471, 458, 1418, 32, 1524, 584, 442, 428, 784, 32, 17012, 26, 1094, 27, 436, 1623, 328, 630, 32, 5140, 26, 2278, 11661, 81, 761, 2177, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 739, 81, 668, 26, 784, 30, 4031, 11661, 81, 761, 30, 2078, 711, 203, 1524, 885, 1169, 2078, 436, 322, 1600, 1471, 458, 1418, 32, 529, 2810, 82, 1395, 526, 600, 27182, 32, 1524, 584, 630, 32, 2157, 26, 2278, 11661, 81, 761, 30, 428, 784, 32, 6282, 26, 853, 27, 436, 786, 328, 2078, 1130, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 16975, 26, 784, 30, 1845, 295, 81, 1744, 711, 203, 1524, 6720, 14789, 1102, 3118, 1991, 4361, 7103, 584, 442, 4361, 26, 605, 47, 33721, 81, 1744, 32, 605, 30, 5585, 47, 33721, 81, 1744, 32, 3801, 30, 3486, 827, 47, 33721, 81, 1744, 32, 681, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 12741, 26, 784, 30, 1778, 711, 203, 1524, 2891, 600, 14789, 1102, 3118, 24545, 623, 706, 645, 4102, 893, 16688, 1524, 584, 1201, 6937, 26, 893, 30, 4361, 27, 291, 3118, 280, 4031, 11661, 32, 314, 37, 32, 13421, 77, 784, 32, 678, 15435, 291, 3118, 32, 605, 280, 1778, 32, 605, 291, 3118, 32, 14639, 280, 1778, 32, 14639, 81, 681, 291, 3118, 32, 3801, 280, 1778, 32, 3801, 556, 1044, 2699, 584, 588, 2616, 14675, 623, 6642, 1593, 33, 47248, 24398, 14227, 41954, 31, 35, 415, 4195, 32, 291 ]
[ 588, 2802, 2427, 588, 42, 43, 43, 291, 1596, 44, 324, 3118, 32, 3801, 32, 4434, 440, 23423, 31, 35, 657, 291, 2940, 23174, 10807, 924, 44, 324, 3118, 32, 8644, 280, 4031, 11661, 32, 314, 37, 32, 7960, 32, 6261, 35, 40, 291, 813, 44, 324, 3118, 32, 8644, 280, 4031, 11661, 32, 314, 37, 32, 7960, 32, 22368, 521, 35, 584, 3118, 32, 681, 280, 1778, 32, 681, 81, 1055, 291, 442, 3118, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 12741, 26, 784, 30, 1778, 711, 203, 1524, 13659, 312, 4361, 1991, 312, 1695, 40, 38, 11830, 12943, 1186, 15056, 2163, 32, 1524, 584, 21901, 280, 4031, 11661, 32, 1306, 329, 32, 13554, 346, 291, 21901, 32, 605, 280, 1778, 32, 605, 291, 21901, 32, 681, 280, 1778, 32, 681, 81, 1055, 291, 21901, 32, 14639, 280, 1778, 32, 14639, 81, 681, 291, 21901, 32, 3801, 280, 1778, 32, 3801, 556, 1044, 2699, 584, 588, 20112, 623, 1695, 40, 38, 3217, 3519, 544, 4335, 4865, 225, 36, 461, 225, 37, 32, 291, 588, 23368, 11661, 7171, 322, 706, 372, 526, 312, 23174, 802, 30, 1259, 996, 9843, 291, 588, 561, 2670, 13256, 561, 7947, 32, 291, 442, 1695, 40, 38, 32, 84, 40, 38, 4434, 26, 8328, 32, 1821, 4251, 5460, 463, 14510, 683, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2968, 26, 784, 30, 4031, 11661, 81, 761, 30, 37511, 711, 203, 1524, 572, 37171, 572, 438, 312, 1149, 432, 4031, 11661, 32, 1306, 329, 32, 13554, 6942, 32, 1524, 584, 4031, 11661, 81, 761, 32, 3815, 81, 37171, 346, 291, 436, 21901, 328, 37511, 44, 324, 4031, 11661, 81, 761, 32, 669, 81, 11869, 26, 8328, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 12741, 26, 784, 30, 1778, 711, 203, 1524, 13659, 312, 4361, 1991, 312, 4031, 11661, 32, 1306, 329, 32, 13554, 32, 1524, 584, 21901, 280, 4031, 11661, 32, 1306, 329, 32, 13554, 346, 291, 21901, 32, 605, 280, 1778, 32, 605, 291, 21901, 32, 681, 280, 1778, 32, 681, 81, 1055, 291, 21901, 32, 14639, 280, 1778, 32, 14639, 81, 681, 291, 21901, 32, 3801, 280, 1778, 32, 3801, 556, 1044, 2699, 291, 442, 21901, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3066, 26, 784, 30, 4031, 11661, 81, 761, 711, 203, 1524, 4913, 1169, 5703, 645, 322, 803, 32, 1524, 584, 436, 6369, 81, 2142, 328, 630, 32, 6540, 81, 8356, 32, 2810, 2262, 324, 1596, 44, 400, 3555, 4031, 11661, 81, 761, 77, 4094, 81, 2142, 79, 324, 2940, 25085, 44, 400, 3097, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 10022, 26, 784, 30, 4031, 11661, 81, 761, 711, 203, 1524, 35902, 101, 322, 1149, 432, 4759, 10022, 432, 458, 1600, 688, 883, 2887, 322, 9821, 974, 1182, 2179, 32, 1524, 584, 436, 1418, 328, 630, 1114, 3481, 44, 324, 415, 4031, 11661, 81, 761, 3667, 823, 29215, 426, 505, 328, 1418, 32, 17213, 44, 400, 6761, 1418, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 4108, 81, 853, 26, 784, 711, 203, 1524, 936, 600, 9136, 313, 1693, 20, 786, 436, 458, 1600, 1182, 827, 32, 1348, 438, 1654, 22678, 1412, 5748, 322, 1600, 372, 1665, 32, 1524, 584, 415, 630, 32, 541, 81, 681, 610, 629, 44, 324, 442, 225, 34, 291, 4348, 630, 32, 541, 81, 681, 610, 1897, 44, 324, 442, 225, 34, 32, 34, 291, 4348, 630, 32, 541, 81, 681, 610, 1560, 44, 324, 442, 3177, 291, 4348, 630, 32, 541, 81, 681, 610, 18792, 32, 878, 81, 681, 44, 324, 442, 1044, 2699, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 371, 81, 770, 81, 7288, 26, 784, 30, 7444, 761, 711, 203, 1524, 936, 312, 225, 37, 31, 1094, 6613, 12681, 322, 2340, 39675, 432, 312, 4947, 30, 6811, 30, 461, 5808, 1451, 32, 11072, 1451, 438, 3154, 600, 4991, 556, 1665, 32, 1524, 584, 588, 1390, 322, 13266, 706, 461, 6122, 544, 13458, 833, 1229, 461, 5439, 16670, 32, 291, 2340, 800, 280, 2599, 26, 1547, 1176, 30, 630, 14585, 371, 3207, 3435, 761, 30, 1665, 27, 291, 415, 6937, 26, 770, 800, 30, 18792, 32, 800, 81, 2516, 711, 324, 2340, 800, 280, 316, 32, 1113, 26, 100, 44860, 39131, 13819, 29481, 370, 2550, 18792, 32, 878, 81, 681, 26, 770, 800, 490, 324, 3946, 280, 316, 32, 2998, 463, 6448, 33, 16249, 18792, 32, 878, 81, 681, 26, 770, 800, 490, 291, 813, 44, 324, 3946, 280, 1605, 584, 588, 15545, 688, 996, 1159, 11114, 225, 37, 6339, 30, 19708, 810, 291, 588, 31373, 1741, 556, 3714, 32, 291, 3946, 280, 3946, 2867, 37, 79, 291, 415, 2069, 26, 3028, 27, 333, 225, 37, 44, 324, 3946, 1454, 428, 2521, 79, 319, 308, 37, 429, 2069, 26, 3028, 490, 584, 588, 4417, 4947, 1600, 415, 4947, 438, 5816, 32, 291, 415, 646, 3946, 77, 34, 79, 461, 19326, 26, 784, 30, 7610, 4548, 81, 1495, 7831, 324, 3946, 77, 34, 79, 280, 630, 1114, 4548, 81, 1495, 3667, 371, 3207, 3435, 761, 27, 584, 588, 8125, 2504, 2577, 372, 600, 4991, 415, 4195, 32, 291, 3946, 81, 280, 1605, 291, 436, 1623, 328, 3946, 44, 324, 1596, 44, 400, 3946, 3133, 1689, 26, 410, 26, 1094, 490, 324, 2940, 308, 18082, 30, 10091 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 588, 2802, 2427, 588, 42, 43, 43, 291, 1596, 44, 324, 3118, 32, 3801, 32, 4434, 440, 23423, 31, 35, 657, 291, 2940, 23174, 10807, 924, 44, 324, 3118, 32, 8644, 280, 4031, 11661, 32, 314, 37, 32, 7960, 32, 6261, 35, 40, 291, 813, 44, 324, 3118, 32, 8644, 280, 4031, 11661, 32, 314, 37, 32, 7960, 32, 22368, 521, 35, 584, 3118, 32, 681, 280, 1778, 32, 681, 81, 1055, 291, 442, 3118, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 12741, 26, 784, 30, 1778, 711, 203, 1524, 13659, 312, 4361, 1991, 312, 1695, 40, 38, 11830, 12943, 1186, 15056, 2163, 32, 1524, 584, 21901, 280, 4031, 11661, 32, 1306, 329, 32, 13554, 346, 291, 21901, 32, 605, 280, 1778, 32, 605, 291, 21901, 32, 681, 280, 1778, 32, 681, 81, 1055, 291, 21901, 32, 14639, 280, 1778, 32, 14639, 81, 681, 291, 21901, 32, 3801, 280, 1778, 32, 3801, 556, 1044, 2699, 584, 588, 20112, 623, 1695, 40, 38, 3217, 3519, 544, 4335, 4865, 225, 36, 461, 225, 37, 32, 291, 588, 23368, 11661, 7171, 322, 706, 372, 526, 312, 23174, 802, 30, 1259, 996, 9843, 291, 588, 561, 2670, 13256, 561, 7947, 32, 291, 442, 1695, 40, 38, 32, 84, 40, 38, 4434, 26, 8328, 32, 1821, 4251, 5460, 463, 14510, 683, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2968, 26, 784, 30, 4031, 11661, 81, 761, 30, 37511, 711, 203, 1524, 572, 37171, 572, 438, 312, 1149, 432, 4031, 11661, 32, 1306, 329, 32, 13554, 6942, 32, 1524, 584, 4031, 11661, 81, 761, 32, 3815, 81, 37171, 346, 291, 436, 21901, 328, 37511, 44, 324, 4031, 11661, 81, 761, 32, 669, 81, 11869, 26, 8328, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 12741, 26, 784, 30, 1778, 711, 203, 1524, 13659, 312, 4361, 1991, 312, 4031, 11661, 32, 1306, 329, 32, 13554, 32, 1524, 584, 21901, 280, 4031, 11661, 32, 1306, 329, 32, 13554, 346, 291, 21901, 32, 605, 280, 1778, 32, 605, 291, 21901, 32, 681, 280, 1778, 32, 681, 81, 1055, 291, 21901, 32, 14639, 280, 1778, 32, 14639, 81, 681, 291, 21901, 32, 3801, 280, 1778, 32, 3801, 556, 1044, 2699, 291, 442, 21901, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3066, 26, 784, 30, 4031, 11661, 81, 761, 711, 203, 1524, 4913, 1169, 5703, 645, 322, 803, 32, 1524, 584, 436, 6369, 81, 2142, 328, 630, 32, 6540, 81, 8356, 32, 2810, 2262, 324, 1596, 44, 400, 3555, 4031, 11661, 81, 761, 77, 4094, 81, 2142, 79, 324, 2940, 25085, 44, 400, 3097, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 10022, 26, 784, 30, 4031, 11661, 81, 761, 711, 203, 1524, 35902, 101, 322, 1149, 432, 4759, 10022, 432, 458, 1600, 688, 883, 2887, 322, 9821, 974, 1182, 2179, 32, 1524, 584, 436, 1418, 328, 630, 1114, 3481, 44, 324, 415, 4031, 11661, 81, 761, 3667, 823, 29215, 426, 505, 328, 1418, 32, 17213, 44, 400, 6761, 1418, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 4108, 81, 853, 26, 784, 711, 203, 1524, 936, 600, 9136, 313, 1693, 20, 786, 436, 458, 1600, 1182, 827, 32, 1348, 438, 1654, 22678, 1412, 5748, 322, 1600, 372, 1665, 32, 1524, 584, 415, 630, 32, 541, 81, 681, 610, 629, 44, 324, 442, 225, 34, 291, 4348, 630, 32, 541, 81, 681, 610, 1897, 44, 324, 442, 225, 34, 32, 34, 291, 4348, 630, 32, 541, 81, 681, 610, 1560, 44, 324, 442, 3177, 291, 4348, 630, 32, 541, 81, 681, 610, 18792, 32, 878, 81, 681, 44, 324, 442, 1044, 2699, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 371, 81, 770, 81, 7288, 26, 784, 30, 7444, 761, 711, 203, 1524, 936, 312, 225, 37, 31, 1094, 6613, 12681, 322, 2340, 39675, 432, 312, 4947, 30, 6811, 30, 461, 5808, 1451, 32, 11072, 1451, 438, 3154, 600, 4991, 556, 1665, 32, 1524, 584, 588, 1390, 322, 13266, 706, 461, 6122, 544, 13458, 833, 1229, 461, 5439, 16670, 32, 291, 2340, 800, 280, 2599, 26, 1547, 1176, 30, 630, 14585, 371, 3207, 3435, 761, 30, 1665, 27, 291, 415, 6937, 26, 770, 800, 30, 18792, 32, 800, 81, 2516, 711, 324, 2340, 800, 280, 316, 32, 1113, 26, 100, 44860, 39131, 13819, 29481, 370, 2550, 18792, 32, 878, 81, 681, 26, 770, 800, 490, 324, 3946, 280, 316, 32, 2998, 463, 6448, 33, 16249, 18792, 32, 878, 81, 681, 26, 770, 800, 490, 291, 813, 44, 324, 3946, 280, 1605, 584, 588, 15545, 688, 996, 1159, 11114, 225, 37, 6339, 30, 19708, 810, 291, 588, 31373, 1741, 556, 3714, 32, 291, 3946, 280, 3946, 2867, 37, 79, 291, 415, 2069, 26, 3028, 27, 333, 225, 37, 44, 324, 3946, 1454, 428, 2521, 79, 319, 308, 37, 429, 2069, 26, 3028, 490, 584, 588, 4417, 4947, 1600, 415, 4947, 438, 5816, 32, 291, 415, 646, 3946, 77, 34, 79, 461, 19326, 26, 784, 30, 7610, 4548, 81, 1495, 7831, 324, 3946, 77, 34, 79, 280, 630, 1114, 4548, 81, 1495, 3667, 371, 3207, 3435, 761, 27, 584, 588, 8125, 2504, 2577, 372, 600, 4991, 415, 4195, 32, 291, 3946, 81, 280, 1605, 291, 436, 1623, 328, 3946, 44, 324, 1596, 44, 400, 3946, 3133, 1689, 26, 410, 26, 1094, 490, 324, 2940, 308, 18082, 30, 10091 ]
[ 711, 400, 3946, 3133, 1689, 26, 2521, 27, 291, 442, 3946, 81, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 470, 81, 770, 81, 7288, 26, 784, 30, 7444, 761, 30, 4947, 30, 6811, 47, 2521, 30, 5808, 47, 2521, 711, 203, 1524, 885, 322, 786, 432, 322, 1600, 2702, 312, 4947, 30, 6811, 30, 461, 5808, 1451, 32, 11072, 1451, 883, 526, 600, 4991, 556, 1665, 372, 14190, 600, 14014, 2577, 32, 1524, 584, 415, 4947, 438, 1665, 44, 324, 630, 3667, 2560, 3207, 3435, 761, 27, 324, 442, 584, 2340, 280, 428, 103, 15907, 34, 44, 34, 38, 86, 16805, 1643, 26, 410, 26, 4548, 12634, 291, 415, 6811, 44, 324, 2340, 32, 1689, 26, 103, 15907, 34, 44, 34, 36, 86, 16805, 1643, 26, 410, 26, 5904, 2610, 291, 415, 6811, 461, 5808, 44, 324, 2340, 32, 1689, 26, 103, 15907, 34, 44, 34, 36, 86, 16805, 1643, 26, 410, 26, 3368, 2610, 291, 2340, 280, 1992, 26, 25931, 32, 878, 81, 681, 30, 2340, 27, 291, 2599, 26, 1547, 1176, 30, 630, 14585, 470, 3207, 3435, 761, 30, 1044, 27941, 2473, 2524, 26, 770, 490, 584, 415, 19326, 26, 784, 30, 7610, 4548, 81, 1495, 7831, 324, 630, 1114, 4548, 81, 1495, 3667, 470, 3207, 3435, 761, 30, 4947, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4131, 26, 784, 711, 203, 1524, 2538, 322, 1300, 1182, 5911, 1751, 372, 322, 803, 32, 10709, 1422, 529, 1061, 18210, 974, 924, 2541, 1524, 584, 588, 7228, 422, 22065, 4131, 322, 5911, 372, 2484, 37, 104, 36, 32, 37, 32, 291, 10306, 280, 2149, 291, 415, 630, 32, 314, 37, 104, 36, 37, 44, 324, 804, 37, 280, 630, 32, 9072, 761, 324, 415, 19326, 26, 314, 37, 30, 330, 3963, 7831, 400, 588, 701, 1135, 458, 438, 600, 12587, 37, 1300, 30, 646, 600, 2484, 37, 1300, 32, 400, 804, 37, 280, 804, 37, 32, 3963, 324, 804, 37, 32, 1877, 81, 452, 81, 104, 36, 37, 346, 324, 10306, 710, 104, 36, 81, 1648, 785, 280, 225, 37, 584, 4031, 11661, 81, 1851, 463, 2853, 370, 630, 32, 983, 30, 630, 32, 9072, 761, 32, 2853, 30, 1115, 5321, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 1495, 81, 3323, 81, 426, 26, 6933, 30, 636, 711, 203, 1524, 936, 312, 3844, 1202, 436, 312, 1600, 636, 688, 24384, 322, 2532, 3829, 1395, 526, 6638, 328, 32, 17661, 4467, 884, 21301, 30355, 30, 7351, 2953, 884, 6942, 432, 499, 823, 5781, 1547, 1097, 1176, 1801, 328, 1510, 1135, 529, 4548, 1801, 529, 5904, 1801, 461, 529, 3368, 82, 884, 14171, 810, 529, 770, 34, 1801, 529, 770, 35, 1801, 461, 529, 770, 36, 1801, 22781, 30, 372, 1930, 3026, 9250, 328, 688, 2532, 32, 1524, 584, 415, 6937, 26, 6933, 3667, 2665, 505, 77, 426, 614, 2821, 1097, 1176, 711, 324, 636, 280, 316, 32, 1113, 463, 4548, 370, 225, 330, 770, 34, 370, 636, 27, 324, 636, 280, 316, 32, 1113, 463, 5904, 370, 330, 770, 35, 370, 636, 27, 324, 636, 280, 316, 32, 1113, 463, 3368, 370, 261, 330, 770, 36, 370, 636, 27, 291, 442, 636, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8594, 81, 4151, 26, 6933, 711, 203, 1524, 936, 322, 4467, 432, 1169, 26346, 5035, 3829, 30, 8594, 328, 322, 2532, 688, 2953, 1395, 526, 6638, 32, 1348, 438, 312, 18299, 5677, 14176, 2532, 30, 2940, 436, 6942, 432, 499, 823, 5781, 1547, 1097, 1176, 1801, 1510, 884, 8594, 328, 4947, 31, 5904, 31, 3368, 2532, 32, 1524, 584, 436, 2804, 328, 8594, 26, 6933, 32, 4151, 1026, 1202, 47, 6933, 1114, 1495, 81, 3323, 81, 426, 711, 324, 6761, 2804, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1015, 81, 1495, 26, 6933, 30, 636, 30, 9866, 711, 203, 1524, 1103, 312, 1600, 372, 2968, 3115, 5911, 32, 499, 753, 636, 44, 322, 636, 432, 322, 2804, 322, 1600, 438, 20001, 3919, 32, 2030, 2298, 646, 3425, 2307, 544, 458, 443, 32, 499, 753, 9866, 44, 600, 1980, 432, 499, 823, 5781, 4993, 1176, 2541, 1524, 584, 415, 646, 6937, 26, 9664, 30, 9821, 1176, 711, 324, 3636, 10091, 26, 400, 1044, 15907, 34, 111, 2298, 526, 600, 1980, 432, 9821, 1176, 2473, 1643, 26, 9664, 490, 291, 415, 636, 328, 9011, 3667, 2665, 26927, 324, 3636, 10091, 26, 400, 1044, 25, 2433, 10698, 34, 3845, 3425, 5375, 544, 9821, 1176, 2473, 1643, 26, 426, 490, 291, 39506, 26, 6933, 30, 636, 30, 9866, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1974, 26, 784, 30, 5436, 711, 203, 1524, 885, 1169, 1600, 2078, 645, 312, 9473, 32, 2616, 1346, 1202, 328, 529, 2665, 82, 688, 438, 2329, 312, 1600, 372, 2968, 5911, 322, 1411, 41633, 322, 8435, 786, 645, 529, 2665, 82, 461, 7775, 322, 529, 4993, 974, 2541, 1670, 312, 1202, 1401, 322, 786, 529, 2521, 1801, 322, 8435, 2804, 438, 8128, 645, 322, 529, 4993, 974, 2541, 1524, 584, 436, 1600, 328, 630, 32, 11939, 81, 4151, 2262, 324, 415, 1600, 328, 5436, 44, 400, 415, 5436, 77, 1495, 79, 438, 1665, 44, 528, 3555, 2437, 26, 784, 30, 1600, 27, 400, 813, 44, 528, 39506, 26, 784, 30, 1600, 30, 5436, 77, 1495, 1130, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 711, 400, 3946, 3133, 1689, 26, 2521, 27, 291, 442, 3946, 81, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 470, 81, 770, 81, 7288, 26, 784, 30, 7444, 761, 30, 4947, 30, 6811, 47, 2521, 30, 5808, 47, 2521, 711, 203, 1524, 885, 322, 786, 432, 322, 1600, 2702, 312, 4947, 30, 6811, 30, 461, 5808, 1451, 32, 11072, 1451, 883, 526, 600, 4991, 556, 1665, 372, 14190, 600, 14014, 2577, 32, 1524, 584, 415, 4947, 438, 1665, 44, 324, 630, 3667, 2560, 3207, 3435, 761, 27, 324, 442, 584, 2340, 280, 428, 103, 15907, 34, 44, 34, 38, 86, 16805, 1643, 26, 410, 26, 4548, 12634, 291, 415, 6811, 44, 324, 2340, 32, 1689, 26, 103, 15907, 34, 44, 34, 36, 86, 16805, 1643, 26, 410, 26, 5904, 2610, 291, 415, 6811, 461, 5808, 44, 324, 2340, 32, 1689, 26, 103, 15907, 34, 44, 34, 36, 86, 16805, 1643, 26, 410, 26, 3368, 2610, 291, 2340, 280, 1992, 26, 25931, 32, 878, 81, 681, 30, 2340, 27, 291, 2599, 26, 1547, 1176, 30, 630, 14585, 470, 3207, 3435, 761, 30, 1044, 27941, 2473, 2524, 26, 770, 490, 584, 415, 19326, 26, 784, 30, 7610, 4548, 81, 1495, 7831, 324, 630, 1114, 4548, 81, 1495, 3667, 470, 3207, 3435, 761, 30, 4947, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4131, 26, 784, 711, 203, 1524, 2538, 322, 1300, 1182, 5911, 1751, 372, 322, 803, 32, 10709, 1422, 529, 1061, 18210, 974, 924, 2541, 1524, 584, 588, 7228, 422, 22065, 4131, 322, 5911, 372, 2484, 37, 104, 36, 32, 37, 32, 291, 10306, 280, 2149, 291, 415, 630, 32, 314, 37, 104, 36, 37, 44, 324, 804, 37, 280, 630, 32, 9072, 761, 324, 415, 19326, 26, 314, 37, 30, 330, 3963, 7831, 400, 588, 701, 1135, 458, 438, 600, 12587, 37, 1300, 30, 646, 600, 2484, 37, 1300, 32, 400, 804, 37, 280, 804, 37, 32, 3963, 324, 804, 37, 32, 1877, 81, 452, 81, 104, 36, 37, 346, 324, 10306, 710, 104, 36, 81, 1648, 785, 280, 225, 37, 584, 4031, 11661, 81, 1851, 463, 2853, 370, 630, 32, 983, 30, 630, 32, 9072, 761, 32, 2853, 30, 1115, 5321, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 617, 1495, 81, 3323, 81, 426, 26, 6933, 30, 636, 711, 203, 1524, 936, 312, 3844, 1202, 436, 312, 1600, 636, 688, 24384, 322, 2532, 3829, 1395, 526, 6638, 328, 32, 17661, 4467, 884, 21301, 30355, 30, 7351, 2953, 884, 6942, 432, 499, 823, 5781, 1547, 1097, 1176, 1801, 328, 1510, 1135, 529, 4548, 1801, 529, 5904, 1801, 461, 529, 3368, 82, 884, 14171, 810, 529, 770, 34, 1801, 529, 770, 35, 1801, 461, 529, 770, 36, 1801, 22781, 30, 372, 1930, 3026, 9250, 328, 688, 2532, 32, 1524, 584, 415, 6937, 26, 6933, 3667, 2665, 505, 77, 426, 614, 2821, 1097, 1176, 711, 324, 636, 280, 316, 32, 1113, 463, 4548, 370, 225, 330, 770, 34, 370, 636, 27, 324, 636, 280, 316, 32, 1113, 463, 5904, 370, 330, 770, 35, 370, 636, 27, 324, 636, 280, 316, 32, 1113, 463, 3368, 370, 261, 330, 770, 36, 370, 636, 27, 291, 442, 636, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8594, 81, 4151, 26, 6933, 711, 203, 1524, 936, 322, 4467, 432, 1169, 26346, 5035, 3829, 30, 8594, 328, 322, 2532, 688, 2953, 1395, 526, 6638, 32, 1348, 438, 312, 18299, 5677, 14176, 2532, 30, 2940, 436, 6942, 432, 499, 823, 5781, 1547, 1097, 1176, 1801, 1510, 884, 8594, 328, 4947, 31, 5904, 31, 3368, 2532, 32, 1524, 584, 436, 2804, 328, 8594, 26, 6933, 32, 4151, 1026, 1202, 47, 6933, 1114, 1495, 81, 3323, 81, 426, 711, 324, 6761, 2804, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1015, 81, 1495, 26, 6933, 30, 636, 30, 9866, 711, 203, 1524, 1103, 312, 1600, 372, 2968, 3115, 5911, 32, 499, 753, 636, 44, 322, 636, 432, 322, 2804, 322, 1600, 438, 20001, 3919, 32, 2030, 2298, 646, 3425, 2307, 544, 458, 443, 32, 499, 753, 9866, 44, 600, 1980, 432, 499, 823, 5781, 4993, 1176, 2541, 1524, 584, 415, 646, 6937, 26, 9664, 30, 9821, 1176, 711, 324, 3636, 10091, 26, 400, 1044, 15907, 34, 111, 2298, 526, 600, 1980, 432, 9821, 1176, 2473, 1643, 26, 9664, 490, 291, 415, 636, 328, 9011, 3667, 2665, 26927, 324, 3636, 10091, 26, 400, 1044, 25, 2433, 10698, 34, 3845, 3425, 5375, 544, 9821, 1176, 2473, 1643, 26, 426, 490, 291, 39506, 26, 6933, 30, 636, 30, 9866, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1974, 26, 784, 30, 5436, 711, 203, 1524, 885, 1169, 1600, 2078, 645, 312, 9473, 32, 2616, 1346, 1202, 328, 529, 2665, 82, 688, 438, 2329, 312, 1600, 372, 2968, 5911, 322, 1411, 41633, 322, 8435, 786, 645, 529, 2665, 82, 461, 7775, 322, 529, 4993, 974, 2541, 1670, 312, 1202, 1401, 322, 786, 529, 2521, 1801, 322, 8435, 2804, 438, 8128, 645, 322, 529, 4993, 974, 2541, 1524, 584, 436, 1600, 328, 630, 32, 11939, 81, 4151, 2262, 324, 415, 1600, 328, 5436, 44, 400, 415, 5436, 77, 1495, 79, 438, 1665, 44, 528, 3555, 2437, 26, 784, 30, 1600, 27, 400, 813, 44, 528, 39506, 26, 784, 30, 1600, 30, 5436, 77, 1495, 1130, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234 ]
[ 44, 203, 665, 316, 1771, 36, 106, 36, 26, 83, 711, 203, 1524, 21746, 6835, 316, 1771, 688, 6723, 316, 17915, 225, 36, 810, 225, 36, 1524, 446, 328, 3229, 280, 2065, 32, 955, 26, 83, 32, 3229, 27, 284, 415, 646, 308, 266, 3229, 904, 225, 36, 610, 2065, 32, 9880, 26, 36, 3427, 464, 2262, 588, 5502, 7269, 1505, 372, 2318, 415, 1334, 438, 4444, 291, 3636, 26405, 30, 313, 59, 2637, 4444, 1778, 24195, 653, 20, 10085, 442, 316, 1771, 26, 83, 30, 328, 3229, 33, 36, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2266, 3965, 26, 784, 30, 9541, 280, 1665, 711, 203, 1524, 40580, 461, 6492, 322, 10712, 11580, 313, 20922, 5986, 20, 461, 3217, 312, 1149, 432, 5436, 101, 6621, 3623, 14471, 32, 1348, 438, 5590, 544, 11664, 436, 8181, 9419, 312, 2317, 296, 36, 96, 32, 3887, 27547, 668, 30, 1273, 3065, 526, 6364, 17688, 32, 1524, 584, 415, 9541, 610, 1665, 44, 324, 9541, 280, 630, 32, 10529, 291, 415, 9541, 44, 324, 1459, 313, 2168, 299, 5941, 10862, 39695, 291, 588, 2688, 36802, 45838, 107, 37130, 332, 322, 5941, 372, 1797, 43892, 5008, 313, 15378, 20, 10712, 95, 1316, 499, 291, 588, 43448, 1167, 280, 2065, 32, 5783, 1162, 39, 30, 39, 490, 291, 37130, 3965, 280, 15379, 893, 32, 30840, 10537, 32, 7003, 81, 47280, 26, 784, 32, 3965, 30, 5193, 47, 43448, 1167, 30, 17576, 47, 35, 30, 5941, 47, 2521, 30, 1688, 47, 2521, 30, 3168, 81, 853, 47, 34, 30, 7382, 47, 34, 30, 3203, 1142, 81, 5538, 47, 2700, 27, 291, 588, 7382, 280, 225, 34, 6058, 4193, 291, 308, 5919, 30, 310, 27, 280, 15379, 893, 32, 12079, 1728, 32, 1172, 26, 43448, 3965, 27, 291, 588, 1216, 313, 1918, 432, 10712, 11580, 16072, 24173, 499, 904, 91, 20, 904, 310, 291, 588, 452, 16443, 26, 5919, 30, 313, 5919, 32, 16443, 392, 9541, 280, 3177, 27, 291, 11494, 331, 3159, 668, 280, 15379, 893, 32, 12079, 1728, 32, 1809, 81, 5740, 26, 5919, 27, 291, 588, 9080, 996, 1159, 312, 23786, 1149, 432, 2098, 15029, 432, 6436, 11494, 4684, 21239, 312, 3118, 6835, 2504, 1300, 291, 588, 2616, 34746, 14998, 30, 996, 2637, 372, 4522, 458, 1991, 322, 4193, 432, 2504, 1300, 32, 291, 415, 2069, 26, 6099, 331, 3159, 668, 27, 863, 310, 44, 324, 588, 1348, 7152, 18659, 30, 1273, 844, 7152, 3702, 2417, 324, 3636, 26405, 30, 313, 1432, 3806, 1048, 328, 2266, 3965, 653, 20, 291, 40962, 280, 3813, 26, 19475, 77, 34, 997, 1366, 474, 41514, 77, 34, 997, 4048, 4165, 36, 32, 34, 30, 308, 19475, 77, 35, 997, 1366, 474, 41514, 77, 35, 997, 4048, 4165, 36, 32, 34, 79, 436, 41514, 328, 11494, 331, 3159, 668, 79, 291, 588, 2688, 2329, 2637, 372, 3702, 2624, 5075, 10862, 2154, 18802, 810, 2504, 10712, 11580, 16072, 32, 291, 588, 16239, 1018, 475, 311, 1347, 1179, 561, 1182, 3333, 461, 3304, 328, 18414, 31245, 291, 12998, 280, 15379, 893, 32, 12079, 1728, 32, 1036, 26, 784, 32, 3965, 32, 38665, 1026, 6492, 32, 38665, 1026, 2065, 32, 16251, 26, 35, 30, 96, 29, 35, 30, 35, 490, 291, 316, 671, 3557, 668, 280, 28254, 426, 2510, 23, 91, 20, 904, 1334, 30, 313, 106, 563, 2390, 77, 34, 614, 313, 107, 563, 2390, 77, 35, 6653, 436, 308, 891, 30, 4193, 27, 328, 8529, 26, 15335, 30, 40962, 2177, 2746, 415, 9541, 44, 324, 1459, 313, 2168, 299, 3390, 20, 584, 442, 316, 671, 3557, 668, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 43448, 733, 3965, 26, 784, 30, 1334, 47, 37, 711, 203, 1524, 3759, 312, 36802, 97, 4557, 1247, 37130, 733, 1933, 432, 322, 1550, 5941, 32, 1334, 280, 225, 37, 556, 225, 39, 5973, 12804, 2624, 372, 37130, 332, 32, 1524, 584, 415, 1334, 610, 225, 37, 44, 324, 37130, 3965, 280, 15379, 893, 32, 30840, 10537, 32, 7003, 81, 47280, 26, 784, 32, 3965, 30, 5193, 47, 16748, 6474, 30, 17576, 47, 35, 30, 5941, 47, 2521, 30, 1688, 47, 2521, 30, 3168, 81, 853, 47, 34, 30, 7382, 47, 34, 30, 3203, 1142, 81, 5538, 47, 2700, 27, 291, 4348, 1334, 610, 225, 39, 44, 324, 37130, 3965, 280, 15379, 893, 32, 30840, 10537, 32, 7003, 81, 47280, 26, 784, 32, 3965, 30, 5193, 47, 43448, 1167, 30, 17576, 47, 35, 30, 5941, 47, 2521, 30, 1688, 47, 2521, 30, 3168, 81, 853, 47, 34, 30, 7382, 47, 34, 30, 3203, 1142, 81, 5538, 47, 2700, 27, 291, 813, 44, 324, 1214, 3965, 280, 630, 32, 3965, 32, 2991, 346, 2746, 442, 37130, 3965, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8561, 269, 27547, 26, 784, 30, 9541, 280, 1665, 711, 203, 1524, 3759, 322, 5941, 432, 309, 9573, 733, 23127, 2685, 17340, 3026, 415, 646, 6305, 3390, 32, 701, 10831, 31481, 436, 6594, 793, 32, 1524, 584, 415, 9541, 610, 1665, 44, 324, 9541, 280, 630, 32, 10529, 291, 415, 646, 630, 32, 13137, 2649, 848, 225, 34, 44, 324, 3636, 26405, 30, 313, 11394, 9921, 19651, 27547, 499, 844, 25863, 19651, 2649, 2511, 225, 34, 653, 20, 4456, 415, 630, 32, 13137, 27547, 610, 1665, 44, 324, 630, 32, 1809, 13137, 27547, 26, 10529, 280, 9541, 27, 291, 442, 630, 32, 13137, 27547, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 11089, 4155, 2649, 26, 784, 711, 203, 1524, 14164, 449, 1196, 322, 3208, 3193, 32, 1348, 3065, 526, 1654, 372, 5318, 10862, 328, 7622, 10712, 95, 1316, 32, 1524, 584, 415, 630, 32, 4155, 2649, 610, 1665, 44 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 44, 203, 665, 316, 1771, 36, 106, 36, 26, 83, 711, 203, 1524, 21746, 6835, 316, 1771, 688, 6723, 316, 17915, 225, 36, 810, 225, 36, 1524, 446, 328, 3229, 280, 2065, 32, 955, 26, 83, 32, 3229, 27, 284, 415, 646, 308, 266, 3229, 904, 225, 36, 610, 2065, 32, 9880, 26, 36, 3427, 464, 2262, 588, 5502, 7269, 1505, 372, 2318, 415, 1334, 438, 4444, 291, 3636, 26405, 30, 313, 59, 2637, 4444, 1778, 24195, 653, 20, 10085, 442, 316, 1771, 26, 83, 30, 328, 3229, 33, 36, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 2266, 3965, 26, 784, 30, 9541, 280, 1665, 711, 203, 1524, 40580, 461, 6492, 322, 10712, 11580, 313, 20922, 5986, 20, 461, 3217, 312, 1149, 432, 5436, 101, 6621, 3623, 14471, 32, 1348, 438, 5590, 544, 11664, 436, 8181, 9419, 312, 2317, 296, 36, 96, 32, 3887, 27547, 668, 30, 1273, 3065, 526, 6364, 17688, 32, 1524, 584, 415, 9541, 610, 1665, 44, 324, 9541, 280, 630, 32, 10529, 291, 415, 9541, 44, 324, 1459, 313, 2168, 299, 5941, 10862, 39695, 291, 588, 2688, 36802, 45838, 107, 37130, 332, 322, 5941, 372, 1797, 43892, 5008, 313, 15378, 20, 10712, 95, 1316, 499, 291, 588, 43448, 1167, 280, 2065, 32, 5783, 1162, 39, 30, 39, 490, 291, 37130, 3965, 280, 15379, 893, 32, 30840, 10537, 32, 7003, 81, 47280, 26, 784, 32, 3965, 30, 5193, 47, 43448, 1167, 30, 17576, 47, 35, 30, 5941, 47, 2521, 30, 1688, 47, 2521, 30, 3168, 81, 853, 47, 34, 30, 7382, 47, 34, 30, 3203, 1142, 81, 5538, 47, 2700, 27, 291, 588, 7382, 280, 225, 34, 6058, 4193, 291, 308, 5919, 30, 310, 27, 280, 15379, 893, 32, 12079, 1728, 32, 1172, 26, 43448, 3965, 27, 291, 588, 1216, 313, 1918, 432, 10712, 11580, 16072, 24173, 499, 904, 91, 20, 904, 310, 291, 588, 452, 16443, 26, 5919, 30, 313, 5919, 32, 16443, 392, 9541, 280, 3177, 27, 291, 11494, 331, 3159, 668, 280, 15379, 893, 32, 12079, 1728, 32, 1809, 81, 5740, 26, 5919, 27, 291, 588, 9080, 996, 1159, 312, 23786, 1149, 432, 2098, 15029, 432, 6436, 11494, 4684, 21239, 312, 3118, 6835, 2504, 1300, 291, 588, 2616, 34746, 14998, 30, 996, 2637, 372, 4522, 458, 1991, 322, 4193, 432, 2504, 1300, 32, 291, 415, 2069, 26, 6099, 331, 3159, 668, 27, 863, 310, 44, 324, 588, 1348, 7152, 18659, 30, 1273, 844, 7152, 3702, 2417, 324, 3636, 26405, 30, 313, 1432, 3806, 1048, 328, 2266, 3965, 653, 20, 291, 40962, 280, 3813, 26, 19475, 77, 34, 997, 1366, 474, 41514, 77, 34, 997, 4048, 4165, 36, 32, 34, 30, 308, 19475, 77, 35, 997, 1366, 474, 41514, 77, 35, 997, 4048, 4165, 36, 32, 34, 79, 436, 41514, 328, 11494, 331, 3159, 668, 79, 291, 588, 2688, 2329, 2637, 372, 3702, 2624, 5075, 10862, 2154, 18802, 810, 2504, 10712, 11580, 16072, 32, 291, 588, 16239, 1018, 475, 311, 1347, 1179, 561, 1182, 3333, 461, 3304, 328, 18414, 31245, 291, 12998, 280, 15379, 893, 32, 12079, 1728, 32, 1036, 26, 784, 32, 3965, 32, 38665, 1026, 6492, 32, 38665, 1026, 2065, 32, 16251, 26, 35, 30, 96, 29, 35, 30, 35, 490, 291, 316, 671, 3557, 668, 280, 28254, 426, 2510, 23, 91, 20, 904, 1334, 30, 313, 106, 563, 2390, 77, 34, 614, 313, 107, 563, 2390, 77, 35, 6653, 436, 308, 891, 30, 4193, 27, 328, 8529, 26, 15335, 30, 40962, 2177, 2746, 415, 9541, 44, 324, 1459, 313, 2168, 299, 3390, 20, 584, 442, 316, 671, 3557, 668, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 43448, 733, 3965, 26, 784, 30, 1334, 47, 37, 711, 203, 1524, 3759, 312, 36802, 97, 4557, 1247, 37130, 733, 1933, 432, 322, 1550, 5941, 32, 1334, 280, 225, 37, 556, 225, 39, 5973, 12804, 2624, 372, 37130, 332, 32, 1524, 584, 415, 1334, 610, 225, 37, 44, 324, 37130, 3965, 280, 15379, 893, 32, 30840, 10537, 32, 7003, 81, 47280, 26, 784, 32, 3965, 30, 5193, 47, 16748, 6474, 30, 17576, 47, 35, 30, 5941, 47, 2521, 30, 1688, 47, 2521, 30, 3168, 81, 853, 47, 34, 30, 7382, 47, 34, 30, 3203, 1142, 81, 5538, 47, 2700, 27, 291, 4348, 1334, 610, 225, 39, 44, 324, 37130, 3965, 280, 15379, 893, 32, 30840, 10537, 32, 7003, 81, 47280, 26, 784, 32, 3965, 30, 5193, 47, 43448, 1167, 30, 17576, 47, 35, 30, 5941, 47, 2521, 30, 1688, 47, 2521, 30, 3168, 81, 853, 47, 34, 30, 7382, 47, 34, 30, 3203, 1142, 81, 5538, 47, 2700, 27, 291, 813, 44, 324, 1214, 3965, 280, 630, 32, 3965, 32, 2991, 346, 2746, 442, 37130, 3965, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 8561, 269, 27547, 26, 784, 30, 9541, 280, 1665, 711, 203, 1524, 3759, 322, 5941, 432, 309, 9573, 733, 23127, 2685, 17340, 3026, 415, 646, 6305, 3390, 32, 701, 10831, 31481, 436, 6594, 793, 32, 1524, 584, 415, 9541, 610, 1665, 44, 324, 9541, 280, 630, 32, 10529, 291, 415, 646, 630, 32, 13137, 2649, 848, 225, 34, 44, 324, 3636, 26405, 30, 313, 11394, 9921, 19651, 27547, 499, 844, 25863, 19651, 2649, 2511, 225, 34, 653, 20, 4456, 415, 630, 32, 13137, 27547, 610, 1665, 44, 324, 630, 32, 1809, 13137, 27547, 26, 10529, 280, 9541, 27, 291, 442, 630, 32, 13137, 27547, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 11089, 4155, 2649, 26, 784, 711, 203, 1524, 14164, 449, 1196, 322, 3208, 3193, 32, 1348, 3065, 526, 1654, 372, 5318, 10862, 328, 7622, 10712, 95, 1316, 32, 1524, 584, 415, 630, 32, 4155, 2649, 610, 1665, 44 ]
[ 324, 630, 32, 4155, 2649, 280, 2065, 32, 24005, 26, 784, 32, 1294, 955, 32, 38665, 1157, 291, 442, 630, 32, 4155, 2649, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3233, 81, 2250, 81, 2388, 2262, 203, 1524, 7422, 1370, 18297, 2074, 3051, 32, 3217, 44, 429, 1519, 44, 800, 18297, 2074, 3051, 1519, 1524, 6925, 2218, 2933, 44, 1064, 1550, 280, 2322, 32, 33115, 346, 1064, 415, 29969, 32, 1215, 440, 39728, 381, 761, 32, 978, 1895, 297, 81, 761, 346, 556, 29969, 32, 1215, 440, 39728, 381, 761, 1895, 297, 81, 761, 2262, 400, 442, 1550, 324, 4348, 2322, 32, 33115, 346, 610, 2430, 563, 400, 3636, 2032, 27981, 324, 813, 44, 400, 2322, 32, 31015, 15382, 657, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3233, 81, 725, 81, 2388, 2262, 203, 1524, 7422, 1370, 18297, 3022, 3051, 3217, 44, 429, 308, 652, 27, 18297, 3022, 3051, 1519, 1524, 584, 2218, 2933, 44, 1064, 1550, 280, 2322, 32, 33115, 346, 1064, 415, 29969, 32, 1215, 440, 7491, 32, 978, 1895, 297, 81, 761, 2262, 400, 442, 1550, 324, 4348, 29969, 32, 1215, 32, 15598, 346, 610, 2430, 563, 400, 3636, 2032, 27981, 324, 813, 44, 400, 2322, 32, 31015, 15382, 657, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 328, 81, 725, 346, 967, 1560, 44, 1524, 971, 14336, 2154, 1550, 4740, 3362, 438, 328, 18297, 3022, 556, 646, 32, 3217, 44, 429, 308, 5957, 27, 24390, 438, 328, 1123, 4921, 3217, 2933, 1524, 584, 1596, 44, 324, 44458, 381, 6330, 32, 470, 81, 465, 81, 2388, 346, 324, 1188, 11550, 324, 415, 2322, 32, 983, 32, 29712, 440, 7491, 32, 978, 10280, 400, 442, 2933, 324, 813, 44, 400, 442, 3177, 291, 2940, 29986, 44, 324, 442, 3177, 291, 2940, 44, 324, 442, 3177, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1477, 26, 426, 711, 203, 588, 827, 44, 308, 466, 27, 967, 1665, 1524, 4793, 4740, 544, 312, 537, 14309, 3299, 32, 1348, 1098, 1487, 312, 537, 5573, 2126, 6514, 3823, 14309, 3299, 14617, 426, 4503, 10460, 44, 636, 308, 466, 711, 203, 886, 636, 432, 322, 537, 2787, 32, 1524, 446, 14309, 3299, 81, 6586, 280, 330, 8079, 3299, 7404, 474, 4942, 32, 452, 81, 6586, 81, 426, 26, 426, 27, 284, 6514, 280, 3570, 32, 371, 463, 2912, 32, 2590, 81, 6586, 370, 330, 2590, 683, 446, 4942, 32, 862, 81, 267, 81, 6586, 26, 2590, 27, 284, 4942, 32, 2912, 81, 15199, 26, 8079, 3299, 81, 6586, 30, 1487, 47, 1815, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 11361, 2262, 203, 588, 827, 44, 1404, 967, 1665, 1524, 13908, 1550, 2787, 1991, 10227, 32, 1524, 446, 32914, 416, 280, 1619, 32, 371, 463, 6626, 416, 370, 3177, 27, 446, 415, 646, 32914, 416, 461, 308, 2912, 32, 270, 4838, 346, 556, 5554, 32, 311, 270, 4838, 22805, 291, 1245, 32, 530, 26, 324, 313, 4282, 1159, 707, 42182, 3404, 328, 1370, 5867, 14351, 96, 20, 324, 313, 4282, 1849, 372, 376, 917, 3026, 2670, 844, 3991, 322, 14309, 3299, 5573, 20, 291, 829, 291, 5237, 32, 4775, 26, 35, 27, 446, 10227, 280, 3570, 32, 371, 463, 2912, 32, 20392, 81, 6586, 370, 330, 17529, 683, 284, 6514, 280, 3570, 32, 371, 463, 2912, 32, 2590, 81, 6586, 370, 330, 2590, 683, 284, 5573, 280, 5554, 32, 1700, 81, 6586, 26, 8188, 47, 1815, 27, 446, 4942, 32, 862, 81, 6586, 81, 681, 463, 8079, 3299, 683, 446, 588, 13908, 14309, 3299, 1991, 6514, 284, 4942, 32, 2912, 81, 15199, 26, 2590, 27, 284, 4942, 32, 2912, 81, 3978, 26, 2590, 27, 284, 4942, 32, 2912, 81, 6077, 26, 2590, 30, 5573, 32, 426, 27, 446, 588, 13908, 14309, 3299, 1991, 10227, 284, 4942, 32, 2912, 81, 15199, 26, 17529, 27, 284, 4942, 32, 2912, 81, 3978, 26, 17529, 27, 284, 4942, 32, 2912, 81, 6077, 26, 17529, 30, 5573, 32, 426, 27, 446, 588, 31458, 284, 4942, 32, 2912, 81, 6586, 81, 2560, 26, 6586, 32, 426, 27, 284, 4942, 32, 2912, 81, 38217, 346, 446, 4942, 32, 2912, 81, 15199, 26, 2590, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1420, 26, 784, 711, 203, 1524, 4489, 322, 9073, 2016, 3759, 44, 20417, 2019, 44, 442, 458, 20417, 2019, 1980, 436, 38009, 1524, 584, 415, 646, 630, 32, 1521, 44, 324, 630, 32, 2024, 280, 1605, 324, 630, 32, 731, 280, 1605, 324, 630, 32, 3426, 280, 26313, 32, 3021, 26, 1977, 47, 784, 32, 1945, 81, 3780, 81, 22821, 27, 324, 630, 32, 3426, 32, 1366, 346, 291, 813, 44, 324, 630, 3667, 1297, 81, 2416, 346, 324, 630, 32, 2416, 32, 1684, 346, 324, 415, 630, 1114, 9362, 438, 646, 1665, 44, 400, 630, 32, 2024, 280, 630, 32, 2416, 32, 9362, 32, 850, 922, 5460, 440, 3310, 31, 42, 657, 324, 415, 630, 1114, 8228, 438, 646, 1665, 44, 400, 630, 32, 731, 280, 630, 32, 2416, 32, 8228, 32, 850, 922, 5460, 440, 3310, 31, 42, 657, 324, 630, 32, 601, 81, 687, 280, 630, 32, 2416, 32, 601, 687, 584, 442, 630, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3240, 26, 784, 30, 786, 711, 203, 1524, 8571, 1344, 372, 24621, 32, 5477, 1755, 526, 1654, 544, 2979, 21154, 6350 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 324, 630, 32, 4155, 2649, 280, 2065, 32, 24005, 26, 784, 32, 1294, 955, 32, 38665, 1157, 291, 442, 630, 32, 4155, 2649, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3233, 81, 2250, 81, 2388, 2262, 203, 1524, 7422, 1370, 18297, 2074, 3051, 32, 3217, 44, 429, 1519, 44, 800, 18297, 2074, 3051, 1519, 1524, 6925, 2218, 2933, 44, 1064, 1550, 280, 2322, 32, 33115, 346, 1064, 415, 29969, 32, 1215, 440, 39728, 381, 761, 32, 978, 1895, 297, 81, 761, 346, 556, 29969, 32, 1215, 440, 39728, 381, 761, 1895, 297, 81, 761, 2262, 400, 442, 1550, 324, 4348, 2322, 32, 33115, 346, 610, 2430, 563, 400, 3636, 2032, 27981, 324, 813, 44, 400, 2322, 32, 31015, 15382, 657, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3233, 81, 725, 81, 2388, 2262, 203, 1524, 7422, 1370, 18297, 3022, 3051, 3217, 44, 429, 308, 652, 27, 18297, 3022, 3051, 1519, 1524, 584, 2218, 2933, 44, 1064, 1550, 280, 2322, 32, 33115, 346, 1064, 415, 29969, 32, 1215, 440, 7491, 32, 978, 1895, 297, 81, 761, 2262, 400, 442, 1550, 324, 4348, 29969, 32, 1215, 32, 15598, 346, 610, 2430, 563, 400, 3636, 2032, 27981, 324, 813, 44, 400, 2322, 32, 31015, 15382, 657, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 328, 81, 725, 346, 967, 1560, 44, 1524, 971, 14336, 2154, 1550, 4740, 3362, 438, 328, 18297, 3022, 556, 646, 32, 3217, 44, 429, 308, 5957, 27, 24390, 438, 328, 1123, 4921, 3217, 2933, 1524, 584, 1596, 44, 324, 44458, 381, 6330, 32, 470, 81, 465, 81, 2388, 346, 324, 1188, 11550, 324, 415, 2322, 32, 983, 32, 29712, 440, 7491, 32, 978, 10280, 400, 442, 2933, 324, 813, 44, 400, 442, 3177, 291, 2940, 29986, 44, 324, 442, 3177, 291, 2940, 44, 324, 442, 3177, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1477, 26, 426, 711, 203, 588, 827, 44, 308, 466, 27, 967, 1665, 1524, 4793, 4740, 544, 312, 537, 14309, 3299, 32, 1348, 1098, 1487, 312, 537, 5573, 2126, 6514, 3823, 14309, 3299, 14617, 426, 4503, 10460, 44, 636, 308, 466, 711, 203, 886, 636, 432, 322, 537, 2787, 32, 1524, 446, 14309, 3299, 81, 6586, 280, 330, 8079, 3299, 7404, 474, 4942, 32, 452, 81, 6586, 81, 426, 26, 426, 27, 284, 6514, 280, 3570, 32, 371, 463, 2912, 32, 2590, 81, 6586, 370, 330, 2590, 683, 446, 4942, 32, 862, 81, 267, 81, 6586, 26, 2590, 27, 284, 4942, 32, 2912, 81, 15199, 26, 8079, 3299, 81, 6586, 30, 1487, 47, 1815, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 11361, 2262, 203, 588, 827, 44, 1404, 967, 1665, 1524, 13908, 1550, 2787, 1991, 10227, 32, 1524, 446, 32914, 416, 280, 1619, 32, 371, 463, 6626, 416, 370, 3177, 27, 446, 415, 646, 32914, 416, 461, 308, 2912, 32, 270, 4838, 346, 556, 5554, 32, 311, 270, 4838, 22805, 291, 1245, 32, 530, 26, 324, 313, 4282, 1159, 707, 42182, 3404, 328, 1370, 5867, 14351, 96, 20, 324, 313, 4282, 1849, 372, 376, 917, 3026, 2670, 844, 3991, 322, 14309, 3299, 5573, 20, 291, 829, 291, 5237, 32, 4775, 26, 35, 27, 446, 10227, 280, 3570, 32, 371, 463, 2912, 32, 20392, 81, 6586, 370, 330, 17529, 683, 284, 6514, 280, 3570, 32, 371, 463, 2912, 32, 2590, 81, 6586, 370, 330, 2590, 683, 284, 5573, 280, 5554, 32, 1700, 81, 6586, 26, 8188, 47, 1815, 27, 446, 4942, 32, 862, 81, 6586, 81, 681, 463, 8079, 3299, 683, 446, 588, 13908, 14309, 3299, 1991, 6514, 284, 4942, 32, 2912, 81, 15199, 26, 2590, 27, 284, 4942, 32, 2912, 81, 3978, 26, 2590, 27, 284, 4942, 32, 2912, 81, 6077, 26, 2590, 30, 5573, 32, 426, 27, 446, 588, 13908, 14309, 3299, 1991, 10227, 284, 4942, 32, 2912, 81, 15199, 26, 17529, 27, 284, 4942, 32, 2912, 81, 3978, 26, 17529, 27, 284, 4942, 32, 2912, 81, 6077, 26, 17529, 30, 5573, 32, 426, 27, 446, 588, 31458, 284, 4942, 32, 2912, 81, 6586, 81, 2560, 26, 6586, 32, 426, 27, 284, 4942, 32, 2912, 81, 38217, 346, 446, 4942, 32, 2912, 81, 15199, 26, 2590, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 1420, 26, 784, 711, 203, 1524, 4489, 322, 9073, 2016, 3759, 44, 20417, 2019, 44, 442, 458, 20417, 2019, 1980, 436, 38009, 1524, 584, 415, 646, 630, 32, 1521, 44, 324, 630, 32, 2024, 280, 1605, 324, 630, 32, 731, 280, 1605, 324, 630, 32, 3426, 280, 26313, 32, 3021, 26, 1977, 47, 784, 32, 1945, 81, 3780, 81, 22821, 27, 324, 630, 32, 3426, 32, 1366, 346, 291, 813, 44, 324, 630, 3667, 1297, 81, 2416, 346, 324, 630, 32, 2416, 32, 1684, 346, 324, 415, 630, 1114, 9362, 438, 646, 1665, 44, 400, 630, 32, 2024, 280, 630, 32, 2416, 32, 9362, 32, 850, 922, 5460, 440, 3310, 31, 42, 657, 324, 415, 630, 1114, 8228, 438, 646, 1665, 44, 400, 630, 32, 731, 280, 630, 32, 2416, 32, 8228, 32, 850, 922, 5460, 440, 3310, 31, 42, 657, 324, 630, 32, 601, 81, 687, 280, 630, 32, 2416, 32, 601, 687, 584, 442, 630, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 3240, 26, 784, 30, 786, 711, 203, 1524, 8571, 1344, 372, 24621, 32, 5477, 1755, 526, 1654, 544, 2979, 21154, 6350 ]
[ 10460, 44, 786, 308, 466, 711, 203, 322, 1344, 372, 2866, 544, 24621, 34904, 44, 12678, 44, 1670, 2016, 438, 21154, 3759, 44, 20417, 2019, 44, 442, 458, 20417, 2019, 1980, 436, 38009, 1524, 584, 415, 646, 630, 32, 1521, 461, 630, 1114, 21633, 438, 646, 1665, 44, 324, 630, 32, 7572, 32, 1821, 440, 29169, 96, 2296, 1643, 26, 853, 490, 324, 442, 630, 291, 813, 44, 324, 3636, 12678, 26, 10007, 81, 10322, 1392, 81, 2930, 81, 9572, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 17850, 81, 2024, 26, 784, 711, 203, 1524, 20593, 5430, 645, 12532, 372, 630, 32, 2024, 32, 3759, 44, 1149, 44, 886, 5430, 3640, 4558, 2401, 1476, 1524, 584, 415, 630, 32, 1521, 44, 324, 442, 630, 32, 2024, 584, 537, 81, 668, 280, 630, 32, 2024, 77, 784, 32, 1455, 81, 2024, 81, 891, 10056, 291, 630, 32, 1455, 81, 2024, 81, 891, 1454, 2069, 26, 890, 81, 668, 27, 291, 442, 537, 81, 668, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 17850, 81, 731, 26, 784, 711, 203, 1524, 20593, 5430, 645, 16154, 372, 630, 32, 4275, 32, 3759, 44, 1149, 44, 886, 5430, 3640, 4558, 2401, 1476, 1524, 584, 415, 630, 32, 1521, 44, 324, 442, 630, 32, 731, 584, 537, 81, 668, 280, 630, 32, 731, 77, 784, 32, 1455, 81, 731, 81, 891, 10056, 291, 630, 32, 1455, 81, 731, 81, 891, 1454, 2069, 26, 890, 81, 668, 27, 291, 442, 537, 81, 668, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 17487, 26, 784, 711, 203, 1524, 41764, 322, 1550, 2979, 21154, 2016, 34904, 44, 12678, 44, 1670, 2016, 438, 21154, 1524, 584, 415, 630, 32, 1521, 44, 324, 3636, 12678, 26, 10007, 81, 10322, 1392, 81, 2930, 81, 9572, 27, 584, 1596, 44, 324, 630, 32, 2416, 32, 14046, 346, 291, 2940, 6833, 10136, 924, 619, 13489, 44, 324, 630, 32, 4073, 32, 2811, 26, 14806, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4465, 81, 979, 26, 784, 30, 5257, 30, 5868, 47, 2521, 711, 203, 1524, 6575, 6222, 312, 5257, 1159, 2583, 2431, 328, 12532, 461, 16154, 10460, 44, 5257, 3981, 823, 27214, 268, 32, 5516, 29890, 203, 886, 5257, 372, 3233, 5868, 26, 410, 711, 203, 18690, 1451, 432, 3100, 372, 4465, 32, 1670, 1665, 30, 4465, 9233, 14825, 34904, 44, 20955, 924, 44, 5076, 5868, 438, 15669, 1524, 584, 1395, 81, 7505, 280, 2933, 584, 415, 630, 32, 1521, 44, 324, 3636, 12678, 26, 10007, 81, 10322, 1392, 81, 2930, 81, 9572, 27, 584, 665, 4719, 26, 1333, 378, 30, 3118, 711, 225, 588, 27715, 44, 7378, 47, 73, 34, 40, 35, 37, 324, 2979, 1696, 1395, 81, 7505, 324, 415, 1395, 81, 7505, 44, 400, 3636, 20955, 924, 346, 584, 415, 5868, 44, 324, 7060, 32, 7295, 26, 7295, 32, 14840, 726, 11224, 30, 4719, 27, 324, 7060, 32, 18876, 26, 5457, 27, 584, 2218, 1395, 81, 7505, 44, 324, 1688, 280, 630, 32, 11986, 81, 2024, 346, 474, 630, 32, 11986, 81, 731, 346, 324, 13996, 280, 428, 928, 436, 1628, 328, 1688, 415, 316, 32, 2872, 26, 5607, 30, 1628, 2177, 324, 415, 13996, 44, 400, 1395, 81, 7505, 280, 3177, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 438, 81, 10333, 26, 784, 711, 203, 1524, 3456, 415, 322, 2016, 438, 5927, 3974, 3759, 44, 1560, 44, 2933, 415, 3974, 30, 813, 3177, 1524, 584, 415, 630, 32, 1521, 44, 324, 442, 3177, 584, 442, 630, 32, 3426, 32, 297, 81, 19145, 346, 556, 630, 32, 2416, 32, 11986, 346, 438, 1665, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 1459, 81, 9732, 81, 2024, 26, 784, 711, 291, 5881, 291, 6575, 461, 1459, 322, 1688, 432, 322, 2016, 584, 34904, 44, 324, 12678, 44, 1670, 2016, 438, 21154, 291, 5881, 291, 415, 630, 32, 1521, 44, 324, 3636, 12678, 26, 10007, 81, 10322, 1392, 81, 2930, 81, 9572, 27, 291, 813, 44, 324, 2218, 630, 32, 3426, 32, 297, 81, 19145, 346, 556, 630, 32, 1455, 81, 2024, 81, 891, 333, 2069, 26, 784, 32, 2024, 27, 556, 630, 32, 1455, 81, 731, 81, 891, 333, 2069, 26, 784, 32, 731, 711, 400, 415, 630, 1114, 9362, 438, 646, 1665, 461, 2069, 26, 784, 32, 2024, 27, 848, 630, 32, 1455, 81, 2024, 81, 891, 44, 528, 2218, 630, 32, 1455, 81, 2024, 81, 891, 333, 2069, 26, 784, 32, 2024, 711, 715, 630, 32, 4073, 32, 1338, 26, 784, 32, 2024, 77, 784, 32, 1455, 81, 2024, 81, 891, 1130, 715, 630, 32, 1455, 81, 2024, 81, 891, 1454, 225, 35, 2110, 415, 630, 1114, 8228, 438, 646, 1665, 461, 2069, 26, 784, 32, 731, 27, 848, 630, 32, 1455, 81, 731, 81, 891, 44, 528, 2218, 630, 32, 1455, 81, 731, 81, 891, 333, 2069, 26, 784, 32, 731, 711, 715, 630, 32, 4073, 32, 731, 26, 784, 32, 731, 77, 784, 32, 1455, 81, 731, 81, 891, 1130, 715, 630, 32, 1455, 81, 731, 81, 891, 1454, 225, 35, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 26703, 26, 38378, 30, 5934, 30, 816, 35, 30, 816, 36, 30, 816, 35, 530, 33792, 816, 36, 530, 19066, 711, 203, 1524, 12781, 31481, 372, 9413, 26703, 436, 322, 18264, 940, 5273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10460, 44, 786, 308, 466, 711, 203, 322, 1344, 372, 2866, 544, 24621, 34904, 44, 12678, 44, 1670, 2016, 438, 21154, 3759, 44, 20417, 2019, 44, 442, 458, 20417, 2019, 1980, 436, 38009, 1524, 584, 415, 646, 630, 32, 1521, 461, 630, 1114, 21633, 438, 646, 1665, 44, 324, 630, 32, 7572, 32, 1821, 440, 29169, 96, 2296, 1643, 26, 853, 490, 324, 442, 630, 291, 813, 44, 324, 3636, 12678, 26, 10007, 81, 10322, 1392, 81, 2930, 81, 9572, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 17850, 81, 2024, 26, 784, 711, 203, 1524, 20593, 5430, 645, 12532, 372, 630, 32, 2024, 32, 3759, 44, 1149, 44, 886, 5430, 3640, 4558, 2401, 1476, 1524, 584, 415, 630, 32, 1521, 44, 324, 442, 630, 32, 2024, 584, 537, 81, 668, 280, 630, 32, 2024, 77, 784, 32, 1455, 81, 2024, 81, 891, 10056, 291, 630, 32, 1455, 81, 2024, 81, 891, 1454, 2069, 26, 890, 81, 668, 27, 291, 442, 537, 81, 668, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 17850, 81, 731, 26, 784, 711, 203, 1524, 20593, 5430, 645, 16154, 372, 630, 32, 4275, 32, 3759, 44, 1149, 44, 886, 5430, 3640, 4558, 2401, 1476, 1524, 584, 415, 630, 32, 1521, 44, 324, 442, 630, 32, 731, 584, 537, 81, 668, 280, 630, 32, 731, 77, 784, 32, 1455, 81, 731, 81, 891, 10056, 291, 630, 32, 1455, 81, 731, 81, 891, 1454, 2069, 26, 890, 81, 668, 27, 291, 442, 537, 81, 668, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 17487, 26, 784, 711, 203, 1524, 41764, 322, 1550, 2979, 21154, 2016, 34904, 44, 12678, 44, 1670, 2016, 438, 21154, 1524, 584, 415, 630, 32, 1521, 44, 324, 3636, 12678, 26, 10007, 81, 10322, 1392, 81, 2930, 81, 9572, 27, 584, 1596, 44, 324, 630, 32, 2416, 32, 14046, 346, 291, 2940, 6833, 10136, 924, 619, 13489, 44, 324, 630, 32, 4073, 32, 2811, 26, 14806, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 4465, 81, 979, 26, 784, 30, 5257, 30, 5868, 47, 2521, 711, 203, 1524, 6575, 6222, 312, 5257, 1159, 2583, 2431, 328, 12532, 461, 16154, 10460, 44, 5257, 3981, 823, 27214, 268, 32, 5516, 29890, 203, 886, 5257, 372, 3233, 5868, 26, 410, 711, 203, 18690, 1451, 432, 3100, 372, 4465, 32, 1670, 1665, 30, 4465, 9233, 14825, 34904, 44, 20955, 924, 44, 5076, 5868, 438, 15669, 1524, 584, 1395, 81, 7505, 280, 2933, 584, 415, 630, 32, 1521, 44, 324, 3636, 12678, 26, 10007, 81, 10322, 1392, 81, 2930, 81, 9572, 27, 584, 665, 4719, 26, 1333, 378, 30, 3118, 711, 225, 588, 27715, 44, 7378, 47, 73, 34, 40, 35, 37, 324, 2979, 1696, 1395, 81, 7505, 324, 415, 1395, 81, 7505, 44, 400, 3636, 20955, 924, 346, 584, 415, 5868, 44, 324, 7060, 32, 7295, 26, 7295, 32, 14840, 726, 11224, 30, 4719, 27, 324, 7060, 32, 18876, 26, 5457, 27, 584, 2218, 1395, 81, 7505, 44, 324, 1688, 280, 630, 32, 11986, 81, 2024, 346, 474, 630, 32, 11986, 81, 731, 346, 324, 13996, 280, 428, 928, 436, 1628, 328, 1688, 415, 316, 32, 2872, 26, 5607, 30, 1628, 2177, 324, 415, 13996, 44, 400, 1395, 81, 7505, 280, 3177, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 438, 81, 10333, 26, 784, 711, 203, 1524, 3456, 415, 322, 2016, 438, 5927, 3974, 3759, 44, 1560, 44, 2933, 415, 3974, 30, 813, 3177, 1524, 584, 415, 630, 32, 1521, 44, 324, 442, 3177, 584, 442, 630, 32, 3426, 32, 297, 81, 19145, 346, 556, 630, 32, 2416, 32, 11986, 346, 438, 1665, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 203, 589, 1459, 81, 9732, 81, 2024, 26, 784, 711, 291, 5881, 291, 6575, 461, 1459, 322, 1688, 432, 322, 2016, 584, 34904, 44, 324, 12678, 44, 1670, 2016, 438, 21154, 291, 5881, 291, 415, 630, 32, 1521, 44, 324, 3636, 12678, 26, 10007, 81, 10322, 1392, 81, 2930, 81, 9572, 27, 291, 813, 44, 324, 2218, 630, 32, 3426, 32, 297, 81, 19145, 346, 556, 630, 32, 1455, 81, 2024, 81, 891, 333, 2069, 26, 784, 32, 2024, 27, 556, 630, 32, 1455, 81, 731, 81, 891, 333, 2069, 26, 784, 32, 731, 711, 400, 415, 630, 1114, 9362, 438, 646, 1665, 461, 2069, 26, 784, 32, 2024, 27, 848, 630, 32, 1455, 81, 2024, 81, 891, 44, 528, 2218, 630, 32, 1455, 81, 2024, 81, 891, 333, 2069, 26, 784, 32, 2024, 711, 715, 630, 32, 4073, 32, 1338, 26, 784, 32, 2024, 77, 784, 32, 1455, 81, 2024, 81, 891, 1130, 715, 630, 32, 1455, 81, 2024, 81, 891, 1454, 225, 35, 2110, 415, 630, 1114, 8228, 438, 646, 1665, 461, 2069, 26, 784, 32, 731, 27, 848, 630, 32, 1455, 81, 731, 81, 891, 44, 528, 2218, 630, 32, 1455, 81, 731, 81, 891, 333, 2069, 26, 784, 32, 731, 711, 715, 630, 32, 4073, 32, 731, 26, 784, 32, 731, 77, 784, 32, 1455, 81, 731, 81, 891, 1130, 715, 630, 32, 1455, 81, 731, 81, 891, 1454, 225, 35, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 26703, 26, 38378, 30, 5934, 30, 816, 35, 30, 816, 36, 30, 816, 35, 530, 33792, 816, 36, 530, 19066, 711, 203, 1524, 12781, 31481, 372, 9413, 26703, 436, 322, 18264, 940, 5273 ]
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
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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
[ 1459, 3124, 324, 4323, 346, 284, 442, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 345, 274, 26, 106, 35, 30, 816, 36, 30, 816, 35, 530, 33792, 816, 36, 530, 33792, 30441, 33792, 309, 81, 410, 47, 1815, 30, 2085, 4310, 35, 30, 34, 30, 34, 32, 35, 471, 9541, 47, 2700, 30, 1245, 1147, 47, 1815, 30, 3536, 81, 2024, 47, 2700, 711, 203, 1524, 18690, 498, 1546, 20468, 14164, 3416, 432, 5273, 31, 4698, 3377, 8350, 816, 35, 30, 816, 36, 499, 1897, 12051, 322, 16371, 461, 20109, 4886, 32, 816, 35, 530, 30, 816, 36, 530, 499, 1897, 12051, 308, 5301, 27, 18583, 31909, 2025, 732, 544, 16371, 461, 20109, 4886, 32, 6204, 432, 322, 3134, 30, 556, 4335, 30, 883, 526, 13798, 32, 30441, 499, 1897, 1417, 308, 8786, 1334, 619, 816, 35, 27, 40204, 544, 322, 18583, 3878, 309, 81, 410, 499, 1905, 308, 1536, 2933, 27, 4946, 372, 2305, 19320, 16374, 26703, 328, 322, 488, 815, 32, 2085, 499, 8825, 432, 36465, 2815, 11089, 436, 3741, 3377, 32, 1670, 309, 81, 410, 438, 2933, 30, 1615, 2085, 2298, 1159, 225, 37, 4702, 45, 5878, 561, 883, 1159, 3134, 308, 979, 322, 5934, 2260, 461, 322, 33327, 27, 9541, 499, 1905, 308, 1536, 3177, 27, 9541, 49, 1245, 1147, 499, 1905, 308, 1536, 2933, 27, 4946, 372, 4483, 322, 2078, 372, 1245, 35, 34, 1182, 32, 1348, 438, 372, 9169, 322, 5273, 31, 4698, 7169, 4927, 32, 5830, 688, 322, 1056, 438, 2702, 436, 322, 23032, 1245, 26, 107, 11096, 83, 29, 84, 28, 751, 26, 106, 27, 769, 595, 32, 87, 4317, 322, 5934, 2260, 2298, 526, 12785, 372, 225, 35, 34, 326, 83, 415, 1245, 1147, 47, 1815, 3536, 81, 2024, 499, 1905, 308, 1536, 3177, 27, 6436, 32, 22926, 32, 88, 887, 1182, 3536, 81, 2024, 2793, 3759, 14761, 312, 499, 1897, 18690, 498, 1546, 20468, 14164, 5679, 432, 322, 5934, 2260, 32, 5830, 688, 415, 1245, 1147, 47, 1815, 30, 322, 7169, 31, 26337, 25292, 438, 225, 35, 34, 326, 83, 323, 499, 1897, 18690, 498, 1546, 20468, 14164, 5679, 432, 322, 33327, 309, 499, 1897, 308, 5301, 30, 415, 309, 81, 410, 47, 1815, 27, 18690, 498, 1546, 20468, 14164, 5679, 432, 322, 19320, 16374, 26703, 1524, 446, 645, 18414, 1188, 22269, 284, 310, 280, 2069, 26, 106, 35, 27, 284, 415, 2069, 26, 106, 36, 27, 863, 310, 44, 291, 3636, 10091, 463, 106, 35, 461, 816, 36, 2298, 1159, 2432, 3104, 683, 284, 415, 2069, 26, 106, 35, 530, 27, 610, 225, 34, 44, 291, 816, 35, 530, 280, 6436, 32, 5783, 26, 96, 27, 284, 415, 2069, 26, 106, 36, 530, 27, 610, 225, 34, 44, 291, 816, 36, 530, 280, 6436, 32, 5783, 26, 96, 27, 284, 415, 1245, 1147, 44, 291, 816, 35, 30, 816, 36, 30, 816, 35, 530, 30, 816, 36, 530, 280, 372, 81, 751, 26, 106, 35, 30, 816, 36, 30, 816, 35, 530, 30, 816, 36, 530, 27, 446, 296, 280, 9254, 312, 30, 323, 44, 312, 474, 323, 319, 816, 35, 284, 415, 309, 81, 410, 44, 291, 341, 280, 9254, 323, 30, 309, 44, 6436, 32, 8663, 26, 84, 326, 36, 319, 816, 35, 530, 326, 36, 474, 816, 36, 530, 326, 36, 474, 309, 326, 36, 27, 291, 1245, 6228, 280, 9254, 298, 44, 225, 36, 319, 3632, 26, 10337, 32, 751, 26, 105, 26, 98, 77, 35, 614, 98, 77, 36, 25200, 474, 766, 1014, 3632, 7728, 106, 36, 429, 296, 26, 98, 77, 34, 614, 98, 77, 35, 5259, 517, 341, 26, 98, 77, 35, 614, 98, 77, 36, 5259, 1115, 225, 36, 27, 474, 766, 1014, 6436, 32, 751, 26, 96, 319, 6436, 32, 8663, 26, 36, 28, 10337, 32, 1295, 490, 517, 225, 36, 284, 813, 44, 291, 341, 280, 9254, 323, 44, 6436, 32, 8663, 26, 84, 326, 36, 319, 816, 35, 530, 326, 36, 474, 816, 36, 530, 326, 36, 27, 291, 1245, 6228, 280, 9254, 298, 44, 3632, 26, 10337, 32, 751, 26, 105, 26, 98, 77, 35, 25200, 474, 766, 1014, 3632, 7728, 106, 36, 429, 296, 26, 98, 77, 34, 614, 98, 77, 35, 5259, 517, 341, 26, 98, 77, 35, 5259, 1115, 225, 36, 27, 517, 225, 36, 474, 766, 1014, 6436, 32, 751, 26, 96, 319, 6436, 32, 8663, 26, 36, 28, 10337, 32, 1295, 490, 517, 225, 36, 291, 2085, 280, 2085, 2867, 36, 79, 284, 963, 280, 22269, 32, 88, 887, 26, 751, 6228, 30, 2085, 30, 24590, 47, 10529, 30, 3536, 81, 2024, 47, 2620, 81, 2024, 27, 284, 442, 963, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 372, 81, 751, 26, 106, 35, 30, 816, 36, 30, 816, 35, 530, 30, 816, 36, 530, 711, 203, 1524, 21740, 10081, 26921, 461, 31909, 2025, 732, 461, 4522, 372, 1245, 2078, 32, 1524, 446, 1245, 106, 35, 280, 6436, 32, 751, 35, 34, 26, 10337, 32, 955, 26, 106, 35, 490, 284, 1245, 106, 36, 280, 6436, 32, 751, 35, 34, 26, 10337, 32, 955, 26, 106, 36, 490, 284, 816, 35, 530, 280, 6436, 32, 751, 35, 34, 26, 10337, 32, 955, 26, 106, 35, 7283, 10337, 32, 955, 26, 106, 35, 530, 490, 429, 1245, 106, 35, 284, 816, 36, 530, 280, 6436, 32, 751, 35, 34, 26, 10337, 32, 955, 26, 106, 36, 7283, 10337, 32, 955, 26, 106, 36, 530, 490, 429, 1245, 106, 36, 284, 442, 1245, 106, 35, 30, 1245, 106, 36, 30, 816, 35, 530, 30, 816, 36, 530, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 9804, 81, 8478, 26, 8478, 711, 203, 588, 827, 44, 308, 668, 77, 466, 1130, 967, 596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1459, 3124, 324, 4323, 346, 284, 442, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 345, 274, 26, 106, 35, 30, 816, 36, 30, 816, 35, 530, 33792, 816, 36, 530, 33792, 30441, 33792, 309, 81, 410, 47, 1815, 30, 2085, 4310, 35, 30, 34, 30, 34, 32, 35, 471, 9541, 47, 2700, 30, 1245, 1147, 47, 1815, 30, 3536, 81, 2024, 47, 2700, 711, 203, 1524, 18690, 498, 1546, 20468, 14164, 3416, 432, 5273, 31, 4698, 3377, 8350, 816, 35, 30, 816, 36, 499, 1897, 12051, 322, 16371, 461, 20109, 4886, 32, 816, 35, 530, 30, 816, 36, 530, 499, 1897, 12051, 308, 5301, 27, 18583, 31909, 2025, 732, 544, 16371, 461, 20109, 4886, 32, 6204, 432, 322, 3134, 30, 556, 4335, 30, 883, 526, 13798, 32, 30441, 499, 1897, 1417, 308, 8786, 1334, 619, 816, 35, 27, 40204, 544, 322, 18583, 3878, 309, 81, 410, 499, 1905, 308, 1536, 2933, 27, 4946, 372, 2305, 19320, 16374, 26703, 328, 322, 488, 815, 32, 2085, 499, 8825, 432, 36465, 2815, 11089, 436, 3741, 3377, 32, 1670, 309, 81, 410, 438, 2933, 30, 1615, 2085, 2298, 1159, 225, 37, 4702, 45, 5878, 561, 883, 1159, 3134, 308, 979, 322, 5934, 2260, 461, 322, 33327, 27, 9541, 499, 1905, 308, 1536, 3177, 27, 9541, 49, 1245, 1147, 499, 1905, 308, 1536, 2933, 27, 4946, 372, 4483, 322, 2078, 372, 1245, 35, 34, 1182, 32, 1348, 438, 372, 9169, 322, 5273, 31, 4698, 7169, 4927, 32, 5830, 688, 322, 1056, 438, 2702, 436, 322, 23032, 1245, 26, 107, 11096, 83, 29, 84, 28, 751, 26, 106, 27, 769, 595, 32, 87, 4317, 322, 5934, 2260, 2298, 526, 12785, 372, 225, 35, 34, 326, 83, 415, 1245, 1147, 47, 1815, 3536, 81, 2024, 499, 1905, 308, 1536, 3177, 27, 6436, 32, 22926, 32, 88, 887, 1182, 3536, 81, 2024, 2793, 3759, 14761, 312, 499, 1897, 18690, 498, 1546, 20468, 14164, 5679, 432, 322, 5934, 2260, 32, 5830, 688, 415, 1245, 1147, 47, 1815, 30, 322, 7169, 31, 26337, 25292, 438, 225, 35, 34, 326, 83, 323, 499, 1897, 18690, 498, 1546, 20468, 14164, 5679, 432, 322, 33327, 309, 499, 1897, 308, 5301, 30, 415, 309, 81, 410, 47, 1815, 27, 18690, 498, 1546, 20468, 14164, 5679, 432, 322, 19320, 16374, 26703, 1524, 446, 645, 18414, 1188, 22269, 284, 310, 280, 2069, 26, 106, 35, 27, 284, 415, 2069, 26, 106, 36, 27, 863, 310, 44, 291, 3636, 10091, 463, 106, 35, 461, 816, 36, 2298, 1159, 2432, 3104, 683, 284, 415, 2069, 26, 106, 35, 530, 27, 610, 225, 34, 44, 291, 816, 35, 530, 280, 6436, 32, 5783, 26, 96, 27, 284, 415, 2069, 26, 106, 36, 530, 27, 610, 225, 34, 44, 291, 816, 36, 530, 280, 6436, 32, 5783, 26, 96, 27, 284, 415, 1245, 1147, 44, 291, 816, 35, 30, 816, 36, 30, 816, 35, 530, 30, 816, 36, 530, 280, 372, 81, 751, 26, 106, 35, 30, 816, 36, 30, 816, 35, 530, 30, 816, 36, 530, 27, 446, 296, 280, 9254, 312, 30, 323, 44, 312, 474, 323, 319, 816, 35, 284, 415, 309, 81, 410, 44, 291, 341, 280, 9254, 323, 30, 309, 44, 6436, 32, 8663, 26, 84, 326, 36, 319, 816, 35, 530, 326, 36, 474, 816, 36, 530, 326, 36, 474, 309, 326, 36, 27, 291, 1245, 6228, 280, 9254, 298, 44, 225, 36, 319, 3632, 26, 10337, 32, 751, 26, 105, 26, 98, 77, 35, 614, 98, 77, 36, 25200, 474, 766, 1014, 3632, 7728, 106, 36, 429, 296, 26, 98, 77, 34, 614, 98, 77, 35, 5259, 517, 341, 26, 98, 77, 35, 614, 98, 77, 36, 5259, 1115, 225, 36, 27, 474, 766, 1014, 6436, 32, 751, 26, 96, 319, 6436, 32, 8663, 26, 36, 28, 10337, 32, 1295, 490, 517, 225, 36, 284, 813, 44, 291, 341, 280, 9254, 323, 44, 6436, 32, 8663, 26, 84, 326, 36, 319, 816, 35, 530, 326, 36, 474, 816, 36, 530, 326, 36, 27, 291, 1245, 6228, 280, 9254, 298, 44, 3632, 26, 10337, 32, 751, 26, 105, 26, 98, 77, 35, 25200, 474, 766, 1014, 3632, 7728, 106, 36, 429, 296, 26, 98, 77, 34, 614, 98, 77, 35, 5259, 517, 341, 26, 98, 77, 35, 5259, 1115, 225, 36, 27, 517, 225, 36, 474, 766, 1014, 6436, 32, 751, 26, 96, 319, 6436, 32, 8663, 26, 36, 28, 10337, 32, 1295, 490, 517, 225, 36, 291, 2085, 280, 2085, 2867, 36, 79, 284, 963, 280, 22269, 32, 88, 887, 26, 751, 6228, 30, 2085, 30, 24590, 47, 10529, 30, 3536, 81, 2024, 47, 2620, 81, 2024, 27, 284, 442, 963, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 372, 81, 751, 26, 106, 35, 30, 816, 36, 30, 816, 35, 530, 30, 816, 36, 530, 711, 203, 1524, 21740, 10081, 26921, 461, 31909, 2025, 732, 461, 4522, 372, 1245, 2078, 32, 1524, 446, 1245, 106, 35, 280, 6436, 32, 751, 35, 34, 26, 10337, 32, 955, 26, 106, 35, 490, 284, 1245, 106, 36, 280, 6436, 32, 751, 35, 34, 26, 10337, 32, 955, 26, 106, 36, 490, 284, 816, 35, 530, 280, 6436, 32, 751, 35, 34, 26, 10337, 32, 955, 26, 106, 35, 7283, 10337, 32, 955, 26, 106, 35, 530, 490, 429, 1245, 106, 35, 284, 816, 36, 530, 280, 6436, 32, 751, 35, 34, 26, 10337, 32, 955, 26, 106, 36, 7283, 10337, 32, 955, 26, 106, 36, 530, 490, 429, 1245, 106, 36, 284, 442, 1245, 106, 35, 30, 1245, 106, 36, 30, 816, 35, 530, 30, 816, 36, 530, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 9804, 81, 8478, 26, 8478, 711, 203, 588, 827, 44, 308, 668, 77, 466, 1130, 967, 596 ]
[ 1524, 13938, 22002, 6835, 1169, 7842, 461, 7140, 3026, 623, 5122, 328, 31, 12524, 32, 1524, 446, 415, 6937, 26, 8478, 30, 802, 81, 2516, 711, 291, 3636, 10091, 26, 324, 313, 8478, 4881, 526, 312, 802, 32, 313, 324, 313, 4391, 1417, 623, 1591, 1994, 4174, 3107, 291, 829, 284, 442, 330, 5608, 2524, 463, 14891, 474, 1519, 474, 37316, 436, 1519, 328, 7842, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 18376, 81, 4538, 26, 2095, 30, 11246, 30, 7116, 81, 311, 28220, 30, 4583, 81, 2585, 711, 203, 588, 827, 44, 308, 2942, 32, 1222, 30, 1682, 77, 466, 614, 1560, 30, 1560, 27, 967, 1665, 1524, 4489, 44636, 42, 461, 27715, 544, 1169, 2074, 2276, 32, 2448, 883, 8488, 322, 18376, 299, 7842, 1471, 322, 18376, 32, 8478, 1359, 2677, 32, 1348, 1395, 526, 312, 1149, 432, 7842, 688, 1098, 526, 18376, 318, 32, 1670, 312, 1519, 372, 312, 3362, 438, 2702, 30, 1169, 2276, 328, 688, 3362, 461, 561, 1182, 1361, 24015, 1098, 526, 1654, 32, 886, 44636, 42, 461, 27715, 1359, 7842, 884, 810, 1244, 7107, 328, 13714, 33, 4280, 33, 24945, 42, 32, 5930, 461, 13714, 33, 4280, 33, 978, 5917, 32, 5930, 32, 2448, 883, 3115, 1125, 5521, 7842, 328, 1370, 1359, 623, 18376, 32, 24945, 42, 81, 4687, 461, 18376, 32, 978, 5917, 81, 4687, 4886, 32, 1115, 1063, 5938, 326, 403, 766, 84, 18376, 44, 27715, 81, 4687, 44, 330, 4156, 33, 4280, 33, 978, 5917, 32, 5930, 25, 44636, 42, 81, 4687, 44, 330, 4156, 33, 4280, 33, 24945, 42, 32, 5930, 25, 7842, 44, 429, 330, 1617, 33, 1772, 4652, 25, 1115, 17533, 326, 403, 766, 84, 398, 298, 13166, 774, 18376, 588, 4489, 42763, 328, 1244, 2926, 30, 7116, 707, 28220, 398, 298, 13166, 774, 18376, 769, 3375, 588, 498, 410, 1755, 2276, 376, 4838, 436, 4583, 398, 298, 13166, 774, 18376, 769, 464, 588, 498, 410, 1169, 2276, 30, 6237, 707, 28220, 32, 398, 298, 13166, 774, 18376, 769, 6626, 416, 588, 9194, 322, 1149, 432, 2276, 372, 18376, 398, 298, 13166, 774, 18376, 429, 87, 39395, 28544, 22189, 588, 12029, 1330, 18376, 2276, 6517, 638, 28544, 3362, 1524, 446, 415, 3692, 32, 5817, 20097, 81, 1113, 2501, 44, 291, 442, 446, 645, 298, 13166, 774, 32, 4557, 1188, 18376, 284, 18376, 32, 5917, 26, 10444, 30, 7116, 81, 311, 28220, 30, 4583, 81, 2585, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 639, 81, 15097, 2262, 203, 1524, 20931, 322, 4749, 11019, 645, 415, 1163, 499, 601, 44, 308, 2665, 27, 432, 9241, 461, 20664, 623, 322, 17409, 38, 2965, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 371, 81, 639, 81, 15097, 683, 446, 2016, 280, 2107, 33, 17434, 33, 325, 1163, 785, 284, 1596, 44, 291, 1056, 280, 1420, 81, 2501, 26, 2501, 27, 284, 2940, 5718, 924, 44, 291, 3636, 284, 415, 1163, 280, 1056, 710, 2024, 5695, 7201, 346, 446, 588, 21691, 322, 415, 1163, 1688, 436, 17409, 38, 11019, 284, 9241, 280, 2149, 284, 8710, 280, 415, 1163, 32, 2998, 346, 284, 3298, 280, 1665, 284, 436, 1742, 328, 8710, 44, 584, 415, 3298, 438, 1665, 44, 324, 415, 330, 9968, 25, 328, 1742, 556, 330, 7888, 25, 328, 1742, 44, 400, 3298, 280, 1742, 291, 813, 44, 324, 894, 280, 1742, 32, 2998, 463, 12454, 225, 35, 27, 324, 415, 2069, 26, 858, 27, 610, 225, 36, 44, 400, 415, 894, 77, 34, 79, 610, 330, 3225, 950, 528, 4749, 81, 2468, 280, 894, 77, 35, 79, 528, 1245, 32, 1338, 463, 3595, 4600, 2965, 904, 101, 544, 3298, 904, 101, 370, 4749, 81, 2468, 30, 6035, 3298, 27, 528, 9241, 77, 2929, 79, 280, 4749, 81, 2468, 528, 3298, 280, 1665, 284, 442, 9241, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 4229, 81, 2468, 26, 2929, 81, 1055, 47, 34, 711, 203, 1524, 6970, 322, 9489, 8983, 2702, 312, 3298, 1650, 499, 753, 3298, 81, 1055, 44, 308, 410, 27, 9145, 1650, 499, 601, 44, 308, 466, 27, 9489, 2965, 556, 1665, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 371, 81, 4229, 81, 2468, 683, 284, 2016, 280, 2107, 639, 370, 330, 3225, 370, 330, 2245, 370, 330, 9968, 109, 86, 16805, 1643, 26, 86, 47, 2929, 81, 1055, 2177, 284, 1245, 32, 1338, 463, 1076, 38579, 372, 2290, 312, 6424, 2965, 821, 3298, 1650, 44, 301, 86, 16805, 1643, 26, 86, 47, 2929, 81, 1055, 490, 284, 1596, 44, 291, 1056, 280, 1420, 81, 2501, 26, 2501, 27, 284, 2940, 5718, 924, 44, 291, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 291, 1245, 32, 731, 463, 8309, 1597, 312, 3708, 3974, 2016, 30, 17049, 372, 9921, 6424, 2965, 44, 301, 85, 4104, 96, 109, 87, 16805, 1643, 26, 400, 281, 47, 2501, 30, 484, 47, 466, 26, 327, 2610, 291, 442, 284, 4749, 3225, 280, 1056, 710, 2024, 5695, 2998, 346, 284, 622, 81, 1978, 280, 3177, 284, 6424, 81, 2468, 280, 1665, 284, 436, 1742, 328, 4749, 3225, 44, 291, 415, 622, 81, 1978, 44, 324, 6424, 81, 2468, 280, 1742, 324, 1245, 32, 1338, 463, 3595, 6424, 2965, 44, 301, 95, 16805, 1643, 26, 95, 47, 4229, 81, 2468, 490, 324, 1626, 291, 415, 330, 1204, 25, 328, 1742, 44, 324, 622, 81, 1978, 280, 2933, 284, 415, 646, 6424, 81, 2468, 44, 291, 1245, 32, 1338, 463, 4229, 2965, 646, 2431, 436, 3298, 44, 301, 86, 16805, 1643, 26, 86, 47, 2929, 81, 1055, 490, 284, 442, 6424, 81, 2468, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1524, 13938, 22002, 6835, 1169, 7842, 461, 7140, 3026, 623, 5122, 328, 31, 12524, 32, 1524, 446, 415, 6937, 26, 8478, 30, 802, 81, 2516, 711, 291, 3636, 10091, 26, 324, 313, 8478, 4881, 526, 312, 802, 32, 313, 324, 313, 4391, 1417, 623, 1591, 1994, 4174, 3107, 291, 829, 284, 442, 330, 5608, 2524, 463, 14891, 474, 1519, 474, 37316, 436, 1519, 328, 7842, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 18376, 81, 4538, 26, 2095, 30, 11246, 30, 7116, 81, 311, 28220, 30, 4583, 81, 2585, 711, 203, 588, 827, 44, 308, 2942, 32, 1222, 30, 1682, 77, 466, 614, 1560, 30, 1560, 27, 967, 1665, 1524, 4489, 44636, 42, 461, 27715, 544, 1169, 2074, 2276, 32, 2448, 883, 8488, 322, 18376, 299, 7842, 1471, 322, 18376, 32, 8478, 1359, 2677, 32, 1348, 1395, 526, 312, 1149, 432, 7842, 688, 1098, 526, 18376, 318, 32, 1670, 312, 1519, 372, 312, 3362, 438, 2702, 30, 1169, 2276, 328, 688, 3362, 461, 561, 1182, 1361, 24015, 1098, 526, 1654, 32, 886, 44636, 42, 461, 27715, 1359, 7842, 884, 810, 1244, 7107, 328, 13714, 33, 4280, 33, 24945, 42, 32, 5930, 461, 13714, 33, 4280, 33, 978, 5917, 32, 5930, 32, 2448, 883, 3115, 1125, 5521, 7842, 328, 1370, 1359, 623, 18376, 32, 24945, 42, 81, 4687, 461, 18376, 32, 978, 5917, 81, 4687, 4886, 32, 1115, 1063, 5938, 326, 403, 766, 84, 18376, 44, 27715, 81, 4687, 44, 330, 4156, 33, 4280, 33, 978, 5917, 32, 5930, 25, 44636, 42, 81, 4687, 44, 330, 4156, 33, 4280, 33, 24945, 42, 32, 5930, 25, 7842, 44, 429, 330, 1617, 33, 1772, 4652, 25, 1115, 17533, 326, 403, 766, 84, 398, 298, 13166, 774, 18376, 588, 4489, 42763, 328, 1244, 2926, 30, 7116, 707, 28220, 398, 298, 13166, 774, 18376, 769, 3375, 588, 498, 410, 1755, 2276, 376, 4838, 436, 4583, 398, 298, 13166, 774, 18376, 769, 464, 588, 498, 410, 1169, 2276, 30, 6237, 707, 28220, 32, 398, 298, 13166, 774, 18376, 769, 6626, 416, 588, 9194, 322, 1149, 432, 2276, 372, 18376, 398, 298, 13166, 774, 18376, 429, 87, 39395, 28544, 22189, 588, 12029, 1330, 18376, 2276, 6517, 638, 28544, 3362, 1524, 446, 415, 3692, 32, 5817, 20097, 81, 1113, 2501, 44, 291, 442, 446, 645, 298, 13166, 774, 32, 4557, 1188, 18376, 284, 18376, 32, 5917, 26, 10444, 30, 7116, 81, 311, 28220, 30, 4583, 81, 2585, 27, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 639, 81, 15097, 2262, 203, 1524, 20931, 322, 4749, 11019, 645, 415, 1163, 499, 601, 44, 308, 2665, 27, 432, 9241, 461, 20664, 623, 322, 17409, 38, 2965, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 371, 81, 639, 81, 15097, 683, 446, 2016, 280, 2107, 33, 17434, 33, 325, 1163, 785, 284, 1596, 44, 291, 1056, 280, 1420, 81, 2501, 26, 2501, 27, 284, 2940, 5718, 924, 44, 291, 3636, 284, 415, 1163, 280, 1056, 710, 2024, 5695, 7201, 346, 446, 588, 21691, 322, 415, 1163, 1688, 436, 17409, 38, 11019, 284, 9241, 280, 2149, 284, 8710, 280, 415, 1163, 32, 2998, 346, 284, 3298, 280, 1665, 284, 436, 1742, 328, 8710, 44, 584, 415, 3298, 438, 1665, 44, 324, 415, 330, 9968, 25, 328, 1742, 556, 330, 7888, 25, 328, 1742, 44, 400, 3298, 280, 1742, 291, 813, 44, 324, 894, 280, 1742, 32, 2998, 463, 12454, 225, 35, 27, 324, 415, 2069, 26, 858, 27, 610, 225, 36, 44, 400, 415, 894, 77, 34, 79, 610, 330, 3225, 950, 528, 4749, 81, 2468, 280, 894, 77, 35, 79, 528, 1245, 32, 1338, 463, 3595, 4600, 2965, 904, 101, 544, 3298, 904, 101, 370, 4749, 81, 2468, 30, 6035, 3298, 27, 528, 9241, 77, 2929, 79, 280, 4749, 81, 2468, 528, 3298, 280, 1665, 284, 442, 9241, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 622, 81, 4229, 81, 2468, 26, 2929, 81, 1055, 47, 34, 711, 203, 1524, 6970, 322, 9489, 8983, 2702, 312, 3298, 1650, 499, 753, 3298, 81, 1055, 44, 308, 410, 27, 9145, 1650, 499, 601, 44, 308, 466, 27, 9489, 2965, 556, 1665, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 371, 81, 4229, 81, 2468, 683, 284, 2016, 280, 2107, 639, 370, 330, 3225, 370, 330, 2245, 370, 330, 9968, 109, 86, 16805, 1643, 26, 86, 47, 2929, 81, 1055, 2177, 284, 1245, 32, 1338, 463, 1076, 38579, 372, 2290, 312, 6424, 2965, 821, 3298, 1650, 44, 301, 86, 16805, 1643, 26, 86, 47, 2929, 81, 1055, 490, 284, 1596, 44, 291, 1056, 280, 1420, 81, 2501, 26, 2501, 27, 284, 2940, 5718, 924, 44, 291, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 291, 1245, 32, 731, 463, 8309, 1597, 312, 3708, 3974, 2016, 30, 17049, 372, 9921, 6424, 2965, 44, 301, 85, 4104, 96, 109, 87, 16805, 1643, 26, 400, 281, 47, 2501, 30, 484, 47, 466, 26, 327, 2610, 291, 442, 284, 4749, 3225, 280, 1056, 710, 2024, 5695, 2998, 346, 284, 622, 81, 1978, 280, 3177, 284, 6424, 81, 2468, 280, 1665, 284, 436, 1742, 328, 4749, 3225, 44, 291, 415, 622, 81, 1978, 44, 324, 6424, 81, 2468, 280, 1742, 324, 1245, 32, 1338, 463, 3595, 6424, 2965, 44, 301, 95, 16805, 1643, 26, 95, 47, 4229, 81, 2468, 490, 324, 1626, 291, 415, 330, 1204, 25, 328, 1742, 44, 324, 622, 81, 1978, 280, 2933, 284, 415, 646, 6424, 81, 2468, 44, 291, 1245, 32, 1338, 463, 4229, 2965, 646, 2431, 436, 3298, 44, 301, 86, 16805, 1643, 26, 86, 47, 2929, 81, 1055, 490, 284, 442, 6424, 81, 2468, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442 ]
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
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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
[ 324, 1245, 32, 8447, 463, 1284, 924, 44, 5802, 1597, 312, 3708, 5748, 4706, 4886, 645, 1628, 44, 301, 98, 4104, 96, 109, 87, 16805, 1643, 26, 400, 298, 47, 928, 30, 484, 47, 466, 26, 327, 2610, 324, 4036, 291, 813, 44, 324, 1245, 32, 2811, 463, 11029, 4706, 2677, 301, 98, 111, 1279, 104, 16805, 1643, 26, 98, 47, 3038, 77, 34, 614, 354, 47, 3038, 77, 35, 5259, 284, 2322, 32, 12757, 32, 1877, 26, 2121, 27, 284, 442, 4533, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 33911, 81, 1877, 26, 4984, 2585, 47, 2700, 30, 3466, 81, 1515, 20183, 2868, 7831, 203, 1524, 2529, 312, 33911, 1974, 544, 458, 2664, 1348, 562, 1411, 9792, 322, 33911, 429, 107, 1974, 2016, 372, 1974, 7599, 645, 33911, 32, 1670, 5822, 2585, 438, 739, 372, 861, 30, 322, 33911, 7775, 1098, 526, 17236, 372, 322, 3191, 3466, 81, 1515, 32, 499, 753, 3466, 81, 1515, 44, 308, 466, 27, 13529, 1519, 372, 322, 5822, 3362, 499, 753, 5822, 2585, 44, 5069, 499, 601, 44, 629, 4323, 1340, 645, 322, 33911, 2016, 499, 16708, 5718, 924, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 33387, 81, 1877, 683, 446, 588, 2768, 9371, 544, 322, 2181, 284, 415, 646, 6937, 26, 3316, 81, 1515, 30, 1695, 800, 711, 291, 3124, 280, 330, 3316, 81, 1515, 2793, 2298, 526, 312, 802, 25, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 5718, 924, 26, 2076, 27, 284, 415, 646, 6937, 26, 4984, 2585, 30, 1560, 711, 291, 3124, 280, 330, 4984, 2585, 2793, 2298, 526, 312, 1560, 25, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 5718, 924, 26, 2076, 27, 446, 588, 1670, 5822, 2585, 1597, 2933, 30, 5822, 7599, 372, 3466, 81, 1515, 284, 415, 5822, 2585, 44, 291, 588, 2648, 322, 8050, 3362, 415, 561, 1957, 646, 2307, 291, 1245, 32, 1338, 463, 16608, 3362, 44, 904, 101, 370, 3466, 81, 1515, 27, 291, 1596, 44, 324, 13947, 81, 98, 26, 3316, 81, 1515, 27, 291, 2940, 546, 21887, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 330, 12014, 372, 1487, 8050, 3362, 44, 301, 86, 16805, 1643, 26, 400, 343, 47, 3316, 81, 1515, 27, 324, 1245, 32, 731, 26, 2076, 27, 324, 3636, 5718, 924, 30, 3124, 30, 8244, 584, 588, 5238, 2016, 802, 623, 5822, 2585, 2075, 3191, 291, 2016, 280, 2107, 33387, 370, 6470, 107, 370, 330, 1877, 370, 11363, 4984, 2585, 370, 4511, 11363, 1746, 315, 31638, 1279, 86, 16805, 1643, 26, 86, 47, 3316, 81, 1515, 2177, 291, 1245, 32, 1338, 463, 33829, 7775, 645, 33911, 372, 904, 101, 34854, 3466, 81, 1515, 27, 284, 813, 44, 291, 588, 5238, 2016, 802, 372, 1974, 7029, 291, 2016, 280, 2107, 33387, 370, 6470, 107, 370, 330, 1877, 785, 291, 1245, 32, 1338, 463, 29080, 33911, 7775, 645, 559, 20429, 30865, 446, 588, 4489, 322, 2016, 284, 1596, 44, 291, 1056, 280, 1420, 81, 2501, 26, 2501, 27, 284, 2940, 5718, 924, 44, 291, 3636, 284, 1245, 32, 1338, 463, 75, 378, 1974, 9435, 461, 4323, 623, 1340, 44, 301, 85, 16805, 1643, 26, 291, 281, 47, 1267, 710, 687, 7698, 284, 442, 1056, 710, 687, 785, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 41859, 81, 3789, 26, 3789, 81, 1515, 711, 203, 1524, 2272, 1411, 37890, 1169, 48483, 2276, 328, 312, 2818, 4921, 499, 753, 2443, 81, 1515, 44, 308, 466, 27, 13529, 1519, 372, 322, 3362, 499, 601, 629, 4323, 1340, 2234, 322, 41859, 2016, 499, 16708, 5718, 924, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 24497, 81, 3789, 683, 446, 588, 2768, 9371, 544, 322, 2181, 284, 415, 646, 6937, 26, 3789, 81, 1515, 30, 1695, 800, 711, 291, 3124, 280, 330, 3789, 81, 1515, 2793, 2298, 526, 312, 802, 25, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 5718, 924, 26, 2076, 27, 446, 588, 15545, 322, 2443, 81, 1515, 3362, 5375, 284, 415, 646, 2322, 32, 983, 32, 34103, 26, 3789, 81, 1515, 711, 291, 3124, 280, 330, 4542, 646, 2431, 44, 301, 88, 16805, 1643, 26, 88, 47, 3789, 81, 1515, 27, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 5718, 924, 26, 2076, 27, 446, 588, 2648, 322, 2016, 284, 2016, 280, 2107, 24497, 370, 6470, 387, 370, 11363, 5538, 370, 8930, 86, 111, 11734, 24497, 2473, 1643, 26, 86, 47, 3789, 81, 1515, 2177, 446, 588, 4489, 322, 41859, 2016, 284, 1596, 44, 291, 1056, 280, 1420, 81, 2501, 26, 2501, 27, 284, 2940, 5718, 924, 44, 291, 3636, 284, 1245, 32, 1338, 463, 5735, 63, 9435, 461, 4323, 623, 1340, 44, 301, 85, 16805, 1643, 26, 291, 281, 47, 1267, 710, 687, 7698, 284, 442, 1056, 710, 687, 785, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 12109, 26, 761, 81, 983, 30, 5257, 30, 7084, 81, 466, 30, 485, 47, 34, 711, 203, 1524, 8312, 9946, 432, 322, 11759, 12109, 2016, 1348, 1411, 2642, 26292, 322, 8904, 432, 312, 11759, 12109, 2016, 32, 499, 753, 803, 81, 983, 44, 308, 466, 27, 13529, 1519, 372, 322, 803, 372, 526, 25173, 499, 753, 5257, 44, 308, 466, 27, 7422, 5257, 372, 7084, 619, 312, 9667, 499, 753, 7084, 81, 466, 44, 308, 466, 27, 892, 372, 7084, 322, 5257, 499, 753, 485, 44, 308, 410, 27, 14071, 372, 29585, 7084, 308, 34, 27, 556, 7084, 225, 35, 1980, 308, 87, 11110, 372, 322, 330, 89, 25, 2470, 328, 11759, 12109, 499, 601, 44, 1665, 499, 16708, 5718, 924, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 324, 1245, 32, 8447, 463, 1284, 924, 44, 5802, 1597, 312, 3708, 5748, 4706, 4886, 645, 1628, 44, 301, 98, 4104, 96, 109, 87, 16805, 1643, 26, 400, 298, 47, 928, 30, 484, 47, 466, 26, 327, 2610, 324, 4036, 291, 813, 44, 324, 1245, 32, 2811, 463, 11029, 4706, 2677, 301, 98, 111, 1279, 104, 16805, 1643, 26, 98, 47, 3038, 77, 34, 614, 354, 47, 3038, 77, 35, 5259, 284, 2322, 32, 12757, 32, 1877, 26, 2121, 27, 284, 442, 4533, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 33911, 81, 1877, 26, 4984, 2585, 47, 2700, 30, 3466, 81, 1515, 20183, 2868, 7831, 203, 1524, 2529, 312, 33911, 1974, 544, 458, 2664, 1348, 562, 1411, 9792, 322, 33911, 429, 107, 1974, 2016, 372, 1974, 7599, 645, 33911, 32, 1670, 5822, 2585, 438, 739, 372, 861, 30, 322, 33911, 7775, 1098, 526, 17236, 372, 322, 3191, 3466, 81, 1515, 32, 499, 753, 3466, 81, 1515, 44, 308, 466, 27, 13529, 1519, 372, 322, 5822, 3362, 499, 753, 5822, 2585, 44, 5069, 499, 601, 44, 629, 4323, 1340, 645, 322, 33911, 2016, 499, 16708, 5718, 924, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 33387, 81, 1877, 683, 446, 588, 2768, 9371, 544, 322, 2181, 284, 415, 646, 6937, 26, 3316, 81, 1515, 30, 1695, 800, 711, 291, 3124, 280, 330, 3316, 81, 1515, 2793, 2298, 526, 312, 802, 25, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 5718, 924, 26, 2076, 27, 284, 415, 646, 6937, 26, 4984, 2585, 30, 1560, 711, 291, 3124, 280, 330, 4984, 2585, 2793, 2298, 526, 312, 1560, 25, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 5718, 924, 26, 2076, 27, 446, 588, 1670, 5822, 2585, 1597, 2933, 30, 5822, 7599, 372, 3466, 81, 1515, 284, 415, 5822, 2585, 44, 291, 588, 2648, 322, 8050, 3362, 415, 561, 1957, 646, 2307, 291, 1245, 32, 1338, 463, 16608, 3362, 44, 904, 101, 370, 3466, 81, 1515, 27, 291, 1596, 44, 324, 13947, 81, 98, 26, 3316, 81, 1515, 27, 291, 2940, 546, 21887, 44, 324, 4950, 538, 30, 8244, 280, 5237, 32, 14806, 81, 1338, 346, 324, 3124, 280, 330, 12014, 372, 1487, 8050, 3362, 44, 301, 86, 16805, 1643, 26, 400, 343, 47, 3316, 81, 1515, 27, 324, 1245, 32, 731, 26, 2076, 27, 324, 3636, 5718, 924, 30, 3124, 30, 8244, 584, 588, 5238, 2016, 802, 623, 5822, 2585, 2075, 3191, 291, 2016, 280, 2107, 33387, 370, 6470, 107, 370, 330, 1877, 370, 11363, 4984, 2585, 370, 4511, 11363, 1746, 315, 31638, 1279, 86, 16805, 1643, 26, 86, 47, 3316, 81, 1515, 2177, 291, 1245, 32, 1338, 463, 33829, 7775, 645, 33911, 372, 904, 101, 34854, 3466, 81, 1515, 27, 284, 813, 44, 291, 588, 5238, 2016, 802, 372, 1974, 7029, 291, 2016, 280, 2107, 33387, 370, 6470, 107, 370, 330, 1877, 785, 291, 1245, 32, 1338, 463, 29080, 33911, 7775, 645, 559, 20429, 30865, 446, 588, 4489, 322, 2016, 284, 1596, 44, 291, 1056, 280, 1420, 81, 2501, 26, 2501, 27, 284, 2940, 5718, 924, 44, 291, 3636, 284, 1245, 32, 1338, 463, 75, 378, 1974, 9435, 461, 4323, 623, 1340, 44, 301, 85, 16805, 1643, 26, 291, 281, 47, 1267, 710, 687, 7698, 284, 442, 1056, 710, 687, 785, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 41859, 81, 3789, 26, 3789, 81, 1515, 711, 203, 1524, 2272, 1411, 37890, 1169, 48483, 2276, 328, 312, 2818, 4921, 499, 753, 2443, 81, 1515, 44, 308, 466, 27, 13529, 1519, 372, 322, 3362, 499, 601, 629, 4323, 1340, 2234, 322, 41859, 2016, 499, 16708, 5718, 924, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608, 24497, 81, 3789, 683, 446, 588, 2768, 9371, 544, 322, 2181, 284, 415, 646, 6937, 26, 3789, 81, 1515, 30, 1695, 800, 711, 291, 3124, 280, 330, 3789, 81, 1515, 2793, 2298, 526, 312, 802, 25, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 5718, 924, 26, 2076, 27, 446, 588, 15545, 322, 2443, 81, 1515, 3362, 5375, 284, 415, 646, 2322, 32, 983, 32, 34103, 26, 3789, 81, 1515, 711, 291, 3124, 280, 330, 4542, 646, 2431, 44, 301, 88, 16805, 1643, 26, 88, 47, 3789, 81, 1515, 27, 291, 1245, 32, 731, 26, 2076, 27, 291, 3636, 5718, 924, 26, 2076, 27, 446, 588, 2648, 322, 2016, 284, 2016, 280, 2107, 24497, 370, 6470, 387, 370, 11363, 5538, 370, 8930, 86, 111, 11734, 24497, 2473, 1643, 26, 86, 47, 3789, 81, 1515, 2177, 446, 588, 4489, 322, 41859, 2016, 284, 1596, 44, 291, 1056, 280, 1420, 81, 2501, 26, 2501, 27, 284, 2940, 5718, 924, 44, 291, 3636, 284, 1245, 32, 1338, 463, 5735, 63, 9435, 461, 4323, 623, 1340, 44, 301, 85, 16805, 1643, 26, 291, 281, 47, 1267, 710, 687, 7698, 284, 442, 1056, 710, 687, 785, 49153, 37530, 322, 2412, 3708, 1471, 4865, 30, 19359, 322, 4442, 10303, 4794, 30, 1591, 1628, 821, 312, 1133, 49156, 49154, 3234, 44, 203, 665, 12109, 26, 761, 81, 983, 30, 5257, 30, 7084, 81, 466, 30, 485, 47, 34, 711, 203, 1524, 8312, 9946, 432, 322, 11759, 12109, 2016, 1348, 1411, 2642, 26292, 322, 8904, 432, 312, 11759, 12109, 2016, 32, 499, 753, 803, 81, 983, 44, 308, 466, 27, 13529, 1519, 372, 322, 803, 372, 526, 25173, 499, 753, 5257, 44, 308, 466, 27, 7422, 5257, 372, 7084, 619, 312, 9667, 499, 753, 7084, 81, 466, 44, 308, 466, 27, 892, 372, 7084, 322, 5257, 499, 753, 485, 44, 308, 410, 27, 14071, 372, 29585, 7084, 308, 34, 27, 556, 7084, 225, 35, 1980, 308, 87, 11110, 372, 322, 330, 89, 25, 2470, 328, 11759, 12109, 499, 601, 44, 1665, 499, 16708, 5718, 924, 1524, 446, 1245, 280, 5741, 32, 10579, 26, 1803, 81, 4073, 474, 5608 ]